LMFDB - Embedded newform 252.2.o.a.95.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (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			95.19
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.261434 - 1.38984i) q^{2} +(0.316645 - 1.70286i) q^{3} +(-1.86330 + 0.726701i) q^{4} -2.87282i q^{5} +(-2.44948 + 0.00509913i) q^{6} +(2.24795 - 1.39525i) q^{7} +(1.49713 + 2.39971i) q^{8} +(-2.79947 - 1.07841i) q^{9} +O(q^{10})$	\(q+(-0.261434 - 1.38984i) q^{2} +(0.316645 - 1.70286i) q^{3} +(-1.86330 + 0.726701i) q^{4} -2.87282i q^{5} +(-2.44948 + 0.00509913i) q^{6} +(2.24795 - 1.39525i) q^{7} +(1.49713 + 2.39971i) q^{8} +(-2.79947 - 1.07841i) q^{9} +(-3.99275 + 0.751051i) q^{10} +3.53765 q^{11} +(0.647465 + 3.40306i) q^{12} +(-3.15869 + 5.47102i) q^{13} +(-2.52686 - 2.75953i) q^{14} +(-4.89201 - 0.909664i) q^{15} +(2.94381 - 2.70813i) q^{16} +(-3.21678 - 1.85721i) q^{17} +(-0.766935 + 4.17275i) q^{18} +(-1.82312 + 1.05258i) q^{19} +(2.08768 + 5.35294i) q^{20} +(-1.66411 - 4.26975i) q^{21} +(-0.924861 - 4.91677i) q^{22} +5.49191 q^{23} +(4.56043 - 1.78955i) q^{24} -3.25308 q^{25} +(8.42962 + 2.95977i) q^{26} +(-2.72282 + 4.42564i) q^{27} +(-3.17469 + 4.23336i) q^{28} +(2.32201 - 1.34061i) q^{29} +(0.0146489 + 7.03692i) q^{30} +(0.222354 - 0.128376i) q^{31} +(-4.53348 - 3.38343i) q^{32} +(1.12018 - 6.02413i) q^{33} +(-1.74025 + 4.95635i) q^{34} +(-4.00829 - 6.45796i) q^{35} +(5.99995 - 0.0249805i) q^{36} +(-0.720918 - 1.24867i) q^{37} +(1.93954 + 2.25866i) q^{38} +(8.31620 + 7.11119i) q^{39} +(6.89393 - 4.30098i) q^{40} +(5.24333 + 3.02724i) q^{41} +(-5.49921 + 3.42909i) q^{42} +(4.79832 - 2.77031i) q^{43} +(-6.59172 + 2.57082i) q^{44} +(-3.09806 + 8.04237i) q^{45} +(-1.43577 - 7.63287i) q^{46} +(1.02078 - 1.76804i) q^{47} +(-3.67943 - 5.87042i) q^{48} +(3.10658 - 6.27289i) q^{49} +(0.850465 + 4.52126i) q^{50} +(-4.18115 + 4.88966i) q^{51} +(1.90981 - 12.4896i) q^{52} +(-1.96139 - 1.13241i) q^{53} +(6.86276 + 2.62726i) q^{54} -10.1630i q^{55} +(6.71366 + 3.30557i) q^{56} +(1.21511 + 3.43781i) q^{57} +(-2.47028 - 2.87673i) q^{58} +(-3.55424 - 6.15612i) q^{59} +(9.77636 - 1.86005i) q^{60} +(-2.83535 + 4.91097i) q^{61} +(-0.236553 - 0.275474i) q^{62} +(-7.79772 + 1.48174i) q^{63} +(-3.51721 + 7.18535i) q^{64} +(15.7172 + 9.07435i) q^{65} +(-8.66542 + 0.0180389i) q^{66} +(-6.36193 + 3.67306i) q^{67} +(7.34348 + 1.12291i) q^{68} +(1.73899 - 9.35196i) q^{69} +(-7.92762 + 7.25920i) q^{70} +9.04391 q^{71} +(-1.60331 - 8.33243i) q^{72} +(5.86192 - 10.1531i) q^{73} +(-1.54697 + 1.32840i) q^{74} +(-1.03007 + 5.53955i) q^{75} +(2.63212 - 3.28614i) q^{76} +(7.95247 - 4.93589i) q^{77} +(7.70927 - 13.4173i) q^{78} +(10.7238 + 6.19137i) q^{79} +(-7.77997 - 8.45703i) q^{80} +(6.67408 + 6.03793i) q^{81} +(2.83659 - 8.07880i) q^{82} +(-5.49556 - 9.51858i) q^{83} +(6.20357 + 6.74654i) q^{84} +(-5.33543 + 9.24123i) q^{85} +(-5.10473 - 5.94464i) q^{86} +(-1.54762 - 4.37855i) q^{87} +(5.29632 + 8.48934i) q^{88} +(-7.32424 + 4.22865i) q^{89} +(11.9875 + 2.20326i) q^{90} +(0.532818 + 16.7057i) q^{91} +(-10.2331 + 3.99098i) q^{92} +(-0.148199 - 0.419288i) q^{93} +(-2.72416 - 0.956494i) q^{94} +(3.02387 + 5.23749i) q^{95} +(-7.19701 + 6.64854i) q^{96} +(4.95593 + 8.58392i) q^{97} +(-9.53047 - 2.67770i) q^{98} +(-9.90355 - 3.81502i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−0.261434	−	1.38984i	−0.184862	−	0.982765i
$2$	−0.261434	−	1.38984i	−0.184862	−	0.982765i
$3$	0.316645	−	1.70286i	0.182815	−	0.983147i
$3$	0.316645	−	1.70286i	0.182815	−	0.983147i
$4$	−1.86330	+	0.726701i	−0.931652	+	0.363351i
$5$		−	2.87282i		−	1.28476i	−0.766385	−	0.642382i	$-0.777946\pi$
$5$		−	2.87282i		−	1.28476i	0.766385	−	0.642382i	$-0.222054\pi$
$6$	−2.44948	+	0.00509913i	−0.999998	+	0.00208171i
$7$	2.24795	−	1.39525i	0.849646	−	0.527353i
$7$	2.24795	−	1.39525i	0.849646	−	0.527353i
$8$	1.49713	+	2.39971i	0.529315	+	0.848425i
$9$	−2.79947	−	1.07841i	−0.933157	−	0.359469i
$10$	−3.99275	+	0.751051i	−1.26262	+	0.237503i
$11$	3.53765			1.06664			0.533321	−	0.845913i	$-0.320944\pi$
$11$	3.53765			1.06664			0.533321	+	0.845913i	$0.320944\pi$
$12$	0.647465	+	3.40306i	0.186907	+	0.982378i
$13$	−3.15869	+	5.47102i	−0.876064	+	1.51739i	−0.0204391	+	0.999791i	$0.506506\pi$
$13$	−3.15869	+	5.47102i	−0.876064	+	1.51739i	−0.855625	+	0.517596i	$0.826827\pi$
$14$	−2.52686	−	2.75953i	−0.675331	−	0.737515i
$15$	−4.89201	−	0.909664i	−1.26311	−	0.234874i
$16$	2.94381	−	2.70813i	0.735953	−	0.677033i
$17$	−3.21678	−	1.85721i	−0.780184	−	0.450440i	0.0563112	−	0.998413i	$-0.482066\pi$
$17$	−3.21678	−	1.85721i	−0.780184	−	0.450440i	−0.836496	+	0.547974i	$0.815399\pi$
$18$	−0.766935	+	4.17275i	−0.180768	+	0.983526i
$19$	−1.82312	+	1.05258i	−0.418252	+	0.241478i	−0.694329	−	0.719657i	$-0.744299\pi$
$19$	−1.82312	+	1.05258i	−0.418252	+	0.241478i	0.276077	+	0.961136i	$0.410966\pi$
$20$	2.08768	+	5.35294i	0.466820	+	1.19695i
$21$	−1.66411	−	4.26975i	−0.363137	−	0.931736i
$22$	−0.924861	−	4.91677i	−0.197181	−	1.04826i
$23$	5.49191			1.14514			0.572571	−	0.819855i	$-0.305946\pi$
$23$	5.49191			1.14514			0.572571	+	0.819855i	$0.305946\pi$
$24$	4.56043	−	1.78955i	0.930894	−	0.365289i
$25$	−3.25308			−0.650617
$26$	8.42962	+	2.95977i	1.65319	+	0.580458i
$27$	−2.72282	+	4.42564i	−0.524006	+	0.851715i
$28$	−3.17469	+	4.23336i	−0.599961	+	0.800029i
$29$	2.32201	−	1.34061i	0.431186	−	0.248945i	−0.268666	−	0.963233i	$-0.586583\pi$
$29$	2.32201	−	1.34061i	0.431186	−	0.248945i	0.699852	+	0.714288i	$0.253249\pi$
$30$	0.0146489	+	7.03692i	0.00267451	+	1.28476i
$31$	0.222354	−	0.128376i	0.0399360	−	0.0230570i	−0.479899	−	0.877324i	$-0.659327\pi$
$31$	0.222354	−	0.128376i	0.0399360	−	0.0230570i	0.519835	+	0.854267i	$0.325993\pi$
$32$	−4.53348	−	3.38343i	−0.801413	−	0.598111i
$33$	1.12018	−	6.02413i	0.194998	−	1.04867i
$34$	−1.74025	+	4.95635i	−0.298450	+	0.850007i
$35$	−4.00829	−	6.45796i	−0.677524	−	1.09159i
$36$	5.99995	−	0.0249805i	0.999991	−	0.00416341i
$37$	−0.720918	−	1.24867i	−0.118518	−	0.205280i	0.800662	−	0.599116i	$-0.204481\pi$
$37$	−0.720918	−	1.24867i	−0.118518	−	0.205280i	−0.919181	+	0.393836i	$0.871148\pi$
$38$	1.93954	+	2.25866i	0.314635	+	0.366404i
$39$	8.31620	+	7.11119i	1.33166	+	1.13870i
$40$	6.89393	−	4.30098i	1.09003	−	0.680044i
$41$	5.24333	+	3.02724i	0.818870	+	0.472775i	0.850027	−	0.526740i	$-0.176586\pi$
$41$	5.24333	+	3.02724i	0.818870	+	0.472775i	−0.0311565	+	0.999515i	$0.509919\pi$
$42$	−5.49921	+	3.42909i	−0.848547	+	0.529121i
$43$	4.79832	−	2.77031i	0.731737	−	0.422469i	−0.0873202	−	0.996180i	$-0.527830\pi$
$43$	4.79832	−	2.77031i	0.731737	−	0.422469i	0.819057	+	0.573712i	$0.194497\pi$
$44$	−6.59172	+	2.57082i	−0.993740	+	0.387565i
$45$	−3.09806	+	8.04237i	−0.461832	+	1.19889i
$46$	−1.43577	−	7.63287i	−0.211693	−	1.12540i
$47$	1.02078	−	1.76804i	0.148896	−	0.257895i	−0.781924	−	0.623374i	$-0.785761\pi$
$47$	1.02078	−	1.76804i	0.148896	−	0.257895i	0.930820	+	0.365479i	$0.119095\pi$
$48$	−3.67943	−	5.87042i	−0.531080	−	0.847322i
$49$	3.10658	−	6.27289i	0.443797	−	0.896127i
$50$	0.850465	+	4.52126i	0.120274	+	0.639403i
$51$	−4.18115	+	4.88966i	−0.585478	+	0.684689i
$52$	1.90981	−	12.4896i	0.264843	−	1.73200i
$53$	−1.96139	−	1.13241i	−0.269417	−	0.155548i	0.359206	−	0.933258i	$-0.383048\pi$
$53$	−1.96139	−	1.13241i	−0.269417	−	0.155548i	−0.628623	+	0.777710i	$0.716381\pi$
$54$	6.86276	+	2.62726i	0.933903	+	0.357525i
$55$		−	10.1630i		−	1.37038i
$56$	6.71366	+	3.30557i	0.897150	+	0.441726i
$57$	1.21511	+	3.43781i	0.160946	+	0.455350i
$58$	−2.47028	−	2.87673i	−0.324364	−	0.377734i
$59$	−3.55424	−	6.15612i	−0.462722	−	0.801458i	0.536373	−	0.843981i	$-0.319794\pi$
$59$	−3.55424	−	6.15612i	−0.462722	−	0.801458i	−0.999096	+	0.0425227i	$0.986461\pi$
$60$	9.77636	−	1.86005i	1.26212	−	0.240131i
$61$	−2.83535	+	4.91097i	−0.363029	+	0.628785i	−0.988458	−	0.151496i	$-0.951591\pi$
$61$	−2.83535	+	4.91097i	−0.363029	+	0.628785i	0.625428	+	0.780282i	$0.284924\pi$
$62$	−0.236553	−	0.275474i	−0.0300423	−	0.0349853i
$63$	−7.79772	+	1.48174i	−0.982420	+	0.186682i
$64$	−3.51721	+	7.18535i	−0.439652	+	0.898168i
$65$	15.7172	+	9.07435i	1.94948	+	1.12553i
$66$	−8.66542	+	0.0180389i	−1.06664	+	0.00222044i
$67$	−6.36193	+	3.67306i	−0.777234	+	0.448736i	−0.835449	−	0.549568i	$-0.814792\pi$
$67$	−6.36193	+	3.67306i	−0.777234	+	0.448736i	0.0582151	+	0.998304i	$0.481459\pi$
$68$	7.34348	+	1.12291i	0.890528	+	0.136173i
$69$	1.73899	−	9.35196i	0.209349	−	1.12584i
$70$	−7.92762	+	7.25920i	−0.947532	+	0.867640i
$71$	9.04391			1.07331			0.536657	−	0.843800i	$-0.319687\pi$
$71$	9.04391			1.07331			0.536657	+	0.843800i	$0.319687\pi$
$72$	−1.60331	−	8.33243i	−0.188952	−	0.981986i
$73$	5.86192	−	10.1531i	0.686085	−	1.18833i	−0.287009	−	0.957928i	$-0.592661\pi$
$73$	5.86192	−	10.1531i	0.686085	−	1.18833i	0.973094	−	0.230407i	$-0.0740057\pi$
$74$	−1.54697	+	1.32840i	−0.179832	+	0.154424i
$75$	−1.03007	+	5.53955i	−0.118943	+	0.639652i
$76$	2.63212	−	3.28614i	0.301925	−	0.376946i
$77$	7.95247	−	4.93589i	0.906268	−	0.562497i
$78$	7.70927	−	13.4173i	0.872903	−	1.51921i
$79$	10.7238	+	6.19137i	1.20652	+	0.696584i	0.961997	−	0.273060i	$-0.0880358\pi$
$79$	10.7238	+	6.19137i	1.20652	+	0.696584i	0.244521	+	0.969644i	$0.421369\pi$
$80$	−7.77997	−	8.45703i	−0.869827	−	0.945525i
$81$	6.67408	+	6.03793i	0.741565	+	0.670882i
$82$	2.83659	−	8.07880i	0.313249	−	0.892155i
$83$	−5.49556	−	9.51858i	−0.603216	−	1.04480i	−0.992331	−	0.123611i	$-0.960553\pi$
$83$	−5.49556	−	9.51858i	−0.603216	−	1.04480i	0.389115	−	0.921189i	$-0.372781\pi$
$84$	6.20357	+	6.74654i	0.676865	+	0.736107i
$85$	−5.33543	+	9.24123i	−0.578708	+	1.00235i
$86$	−5.10473	−	5.94464i	−0.550457	−	0.641027i
$87$	−1.54762	−	4.37855i	−0.165922	−	0.469430i
$88$	5.29632	+	8.48934i	0.564589	+	0.904966i
$89$	−7.32424	+	4.22865i	−0.776368	+	0.448236i	−0.835142	−	0.550035i	$-0.814614\pi$
$89$	−7.32424	+	4.22865i	−0.776368	+	0.448236i	0.0587737	+	0.998271i	$0.481281\pi$
$90$	11.9875	+	2.20326i	1.26360	+	0.232244i
$91$	0.532818	+	16.7057i	0.0558545	+	1.75124i
$92$	−10.2331	+	3.99098i	−1.06687	+	0.416088i
$93$	−0.148199	−	0.419288i	−0.0153676	−	0.0434781i
$94$	−2.72416	−	0.956494i	−0.280976	−	0.0986548i
$95$	3.02387	+	5.23749i	0.310242	+	0.537355i
$96$	−7.19701	+	6.64854i	−0.734542	+	0.678564i
$97$	4.95593	+	8.58392i	0.503198	+	0.871565i	0.999993	+	0.00369720i	$0.00117686\pi$
$97$	4.95593	+	8.58392i	0.503198	+	0.871565i	−0.496795	+	0.867868i	$0.665490\pi$
$98$	−9.53047	−	2.67770i	−0.962723	−	0.270489i
$99$	−9.90355	−	3.81502i	−0.995345	−	0.383424i
$100$	6.06149	−	2.36402i	0.606149	−	0.236402i
$101$			15.0826i			1.50078i	0.660996	+	0.750389i	$0.270134\pi$
$101$			15.0826i			1.50078i	−0.660996	+	0.750389i	$0.729866\pi$
$102$	7.88893	+	4.53281i	0.781120	+	0.448815i
$103$			1.44210i			0.142094i	0.997473	+	0.0710472i	$0.0226341\pi$
$103$			1.44210i			0.142094i	−0.997473	+	0.0710472i	$0.977366\pi$
$104$	−17.8578	+	0.610870i	−1.75110	+	0.0599007i
$105$	−12.2662	+	4.78067i	−1.19706	+	0.466546i
$106$	−1.06109	+	3.02206i	−0.103062	+	0.293528i
$107$	−1.82752	−	3.16536i	−0.176673	−	0.306007i	0.764066	−	0.645138i	$-0.223200\pi$
$107$	−1.82752	−	3.16536i	−0.176673	−	0.306007i	−0.940739	+	0.339131i	$0.889867\pi$
$108$	1.85732	−	10.2250i	0.178720	−	0.983900i
$109$	−7.28399	+	12.6162i	−0.697680	+	1.20842i	0.271589	+	0.962413i	$0.412451\pi$
$109$	−7.28399	+	12.6162i	−0.697680	+	1.20842i	−0.969269	+	0.246003i	$0.920883\pi$
$110$	−14.1250	+	2.65696i	−1.34676	+	0.253331i
$111$	−2.35458	+	0.832239i	−0.223487	+	0.0789926i
$112$	2.83904	−	10.1951i	0.268264	−	0.963346i
$113$	−12.2439	−	7.06904i	−1.15181	−	0.664999i	−0.202484	−	0.979286i	$-0.564901\pi$
$113$	−12.2439	−	7.06904i	−1.15181	−	0.664999i	−0.949328	+	0.314286i	$0.898235\pi$
$114$	4.46034	−	2.58757i	0.417749	−	0.242348i
$115$		−	15.7773i		−	1.47124i
$116$	−3.35238	+	4.18537i	−0.311261	+	0.388602i
$117$	14.7427	−	11.9096i	1.36296	−	1.10104i
$118$	−7.62681	+	6.54923i	−0.702105	+	0.602906i
$119$	−9.82244	+	0.313280i	−0.900422	+	0.0287183i
$120$	−5.14104	−	13.1013i	−0.469310	−	1.19598i
$121$	1.51498			0.137725
$122$	7.56671	+	2.65679i	0.685058	+	0.240534i
$123$	6.81524	−	7.97010i	0.614509	−	0.718640i
$124$	−0.321022	+	0.400789i	−0.0288286	+	0.0359919i
$125$		−	5.01857i		−	0.448875i
$126$	4.09797	+	10.4502i	0.365076	+	0.930978i
$127$			16.9477i			1.50386i	0.659242	+	0.751931i	$0.270877\pi$
$127$			16.9477i			1.50386i	−0.659242	+	0.751931i	$0.729123\pi$
$128$	10.9060	+	3.00987i	0.963963	+	0.266037i
$129$	−3.19809	−	9.04808i	−0.281576	−	0.796639i
$130$	8.50287	−	24.2168i	0.745751	−	2.12395i
$131$	−5.20164			−0.454470			−0.227235	−	0.973840i	$-0.572968\pi$
$131$	−5.20164			−0.454470			−0.227235	+	0.973840i	$0.572968\pi$
$132$	2.29050	+	12.0388i	0.199363	+	1.04785i
$133$	−2.62968	+	4.90985i	−0.228022	+	0.425738i
$134$	6.76819	+	7.88180i	0.584683	+	0.680884i
$135$	12.7141	+	7.82215i	1.09425	+	0.673224i
$136$	−0.359172	−	10.4998i	−0.0307987	−	0.900353i
$137$		−	13.1000i		−	1.11921i	−0.828760	−	0.559604i	$-0.810953\pi$
$137$		−	13.1000i		−	1.11921i	0.828760	−	0.559604i	$-0.189047\pi$
$138$	−13.4523	+	0.0280040i	−1.14514	+	0.00238385i
$139$	3.88147	+	2.24097i	0.329222	+	0.190076i	0.655496	−	0.755199i	$-0.272460\pi$
$139$	3.88147	+	2.24097i	0.329222	+	0.190076i	−0.326274	+	0.945275i	$0.605793\pi$
$140$	12.1617	+	9.12032i	1.02785	+	0.770808i
$141$	−2.68750	−	2.29809i	−0.226329	−	0.193534i
$142$	−2.36438	−	12.5696i	−0.198415	−	1.05482i
$143$	−11.1744	+	19.3546i	−0.934447	+	1.61851i
$144$	−11.1616	+	4.40672i	−0.930132	+	0.367226i
$145$	−3.85133	−	6.67070i	−0.319836	−	0.553972i
$146$	−15.6437	−	5.49275i	−1.29468	−	0.454583i
$147$	−9.69818	−	7.27636i	−0.799892	−	0.600144i
$148$	2.25070	+	1.80275i	0.185006	+	0.148185i
$149$			8.44492i			0.691834i	0.938265	+	0.345917i	$0.112432\pi$
$149$			8.44492i			0.691834i	−0.938265	+	0.345917i	$0.887568\pi$
$150$	7.96838	−	0.0165879i	0.650615	−	0.00135440i
$151$			6.29204i			0.512039i	0.966672	+	0.256020i	$0.0824112\pi$
$151$			6.29204i			0.512039i	−0.966672	+	0.256020i	$0.917589\pi$
$152$	−5.25533	−	2.79911i	−0.426263	−	0.227038i
$153$	7.00246	+	8.66821i	0.566116	+	0.700783i
$154$	−8.93914	−	9.76225i	−0.720336	−	0.786664i
$155$	−0.368801	−	0.638783i	−0.0296228	−	0.0513083i
$156$	−20.6633	−	7.20692i	−1.65439	−	0.577015i
$157$	4.99807	+	8.65691i	0.398889	+	0.690897i	0.993589	−	0.113051i	$-0.0360624\pi$
$157$	4.99807	+	8.65691i	0.398889	+	0.690897i	−0.594700	+	0.803948i	$0.702729\pi$
$158$	5.80146	−	16.5229i	0.461539	−	1.31450i
$159$	−2.54940	+	2.98140i	−0.202180	+	0.236440i
$160$	−9.71996	+	13.0239i	−0.768431	+	1.02963i
$161$	12.3455	−	7.66256i	0.972965	−	0.603894i
$162$	6.64693	−	10.8544i	0.522232	−	0.852804i
$163$	10.9225	−	6.30608i	0.855513	−	0.493930i	−0.00699437	−	0.999976i	$-0.502226\pi$
$163$	10.9225	−	6.30608i	0.855513	−	0.493930i	0.862507	+	0.506045i	$0.168893\pi$
$164$	−11.9698	−	1.83033i	−0.934686	−	0.142925i
$165$	−17.3062	−	3.21808i	−1.34729	−	0.250527i
$166$	−11.7926	+	10.1264i	−0.915281	+	0.785962i
$167$	−4.48097	+	7.76126i	−0.346748	+	0.600585i	−0.985670	−	0.168687i	$-0.946047\pi$
$167$	−4.48097	+	7.76126i	−0.346748	+	0.600585i	0.638922	+	0.769272i	$0.279381\pi$
$168$	7.75478	−	10.3857i	0.598294	−	0.801277i
$169$	−13.4547	−	23.3042i	−1.03498	−	1.79263i
$170$	14.2387	+	4.99942i	1.09206	+	0.383438i
$171$	6.23888	−	0.980600i	0.477099	−	0.0749884i
$172$	−6.92755	+	8.64888i	−0.528220	+	0.659471i
$173$	−5.45971	−	3.15217i	−0.415094	−	0.239655i	0.277882	−	0.960615i	$-0.410368\pi$
$173$	−5.45971	−	3.15217i	−0.415094	−	0.239655i	−0.692976	+	0.720961i	$0.743701\pi$
$174$	−5.68088	+	3.29565i	−0.430667	+	0.249842i
$175$	−7.31278	+	4.53885i	−0.552794	+	0.343105i
$176$	10.4142	−	9.58043i	0.784998	−	0.722152i
$177$	−11.6084	+	4.10306i	−0.872544	+	0.308405i
$178$	7.79195	+	9.07400i	0.584031	+	0.680125i
$179$	−7.19492	+	12.4620i	−0.537773	+	0.931451i	0.461250	+	0.887270i	$0.347401\pi$
$179$	−7.19492	+	12.4620i	−0.537773	+	0.931451i	−0.999024	+	0.0441806i	$0.985932\pi$
$180$	−0.0717644	−	17.2368i	−0.00534900	−	1.28475i
$181$	23.8306			1.77132			0.885658	−	0.464338i	$-0.153708\pi$
$181$	23.8306			1.77132			0.885658	+	0.464338i	$0.153708\pi$
$182$	23.0790	−	5.10798i	1.71073	−	0.378628i
$183$	7.46490	+	6.38324i	0.551821	+	0.471863i
$184$	8.22209	+	13.1790i	0.606141	+	0.971568i
$185$	−3.58719	+	2.07107i	−0.263736	+	0.152268i
$186$	−0.543998	+	0.315589i	−0.0398879	+	0.0231401i
$187$	−11.3799	−	6.57016i	−0.832177	−	0.480458i
$188$	−0.617185	+	4.03620i	−0.0450128	+	0.294370i
$189$	0.0540915	+	13.7476i	0.00393458	+	0.999992i
$190$	6.48873	−	5.57194i	0.470742	−	0.404231i
$191$	2.74949	−	4.76226i	0.198946	−	0.344585i	−0.749241	−	0.662298i	$-0.769581\pi$
$191$	2.74949	−	4.76226i	0.198946	−	0.344585i	0.948187	+	0.317713i	$0.102915\pi$
$192$	11.1219	+	8.26453i	0.802657	+	0.596441i
$193$	6.02207	+	10.4305i	0.433478	+	0.750807i	0.997170	−	0.0751787i	$-0.0239527\pi$
$193$	6.02207	+	10.4305i	0.433478	+	0.750807i	−0.563692	+	0.825985i	$0.690619\pi$
$194$	10.6346	−	9.13207i	0.763521	−	0.655644i
$195$	20.4292	−	23.8909i	1.46296	−	1.71086i
$196$	−1.22999	+	13.9459i	−0.0878564	+	0.996133i
$197$			11.2108i			0.798738i	0.916790	+	0.399369i	$0.130771\pi$
$197$			11.2108i			0.798738i	−0.916790	+	0.399369i	$0.869229\pi$
$198$	−2.71315	+	14.7617i	−0.192815	+	1.04907i
$199$	15.7110	+	9.07074i	1.11372	+	0.643008i	0.939791	−	0.341750i	$-0.111020\pi$
$199$	15.7110	+	9.07074i	1.11372	+	0.643008i	0.173931	+	0.984758i	$0.444353\pi$
$200$	−4.87028	−	7.80645i	−0.344381	−	0.552000i
$201$	4.24024	+	11.9965i	0.299084	+	0.846171i
$202$	20.9624	−	3.94311i	1.47491	−	0.277436i
$203$	3.34928	−	6.25340i	0.235073	−	0.438903i
$204$	4.23744	−	12.1494i	0.296680	−	0.850626i
$205$	8.69670	−	15.0631i	0.607404	−	1.05205i
$206$	2.00429	−	0.377013i	0.139645	−	0.0262678i
$207$	−15.3744	−	5.92251i	−1.06860	−	0.411643i
$208$	5.51765	+	24.6598i	0.382580	+	1.70985i
$209$	−6.44956	+	3.72366i	−0.446125	+	0.257571i
$210$	9.85116	+	15.7982i	0.679795	+	1.09018i
$211$	−1.59074	−	0.918416i	−0.109511	−	0.0632264i	0.444244	−	0.895906i	$-0.353472\pi$
$211$	−1.59074	−	0.918416i	−0.109511	−	0.0632264i	−0.553755	+	0.832679i	$0.686806\pi$
$212$	4.47758	+	0.684677i	0.307522	+	0.0470238i
$213$	2.86371	−	15.4005i	0.196218	−	1.05523i
$214$	−3.92157	+	3.36749i	−0.268073	+	0.230197i
$215$	−7.95860	−	13.7847i	−0.542772	−	0.940109i
$216$	−14.6967	+	0.0917838i	−0.999980	+	0.00624510i
$217$	0.320725	−	0.598822i	0.0217722	−	0.0406507i
$218$	19.4388	+	6.82526i	1.31656	+	0.462265i
$219$	−15.4332	−	13.1970i	−1.04288	−	0.891769i
$220$	7.38549	+	18.9368i	0.497929	+	1.27672i
$221$	20.3217	−	11.7327i	1.36698	−	0.789228i
$222$	1.77224	+	3.05491i	0.118945	+	0.205032i
$223$	4.03987	−	2.33242i	0.270530	−	0.156190i	−0.358599	−	0.933492i	$-0.616745\pi$
$223$	4.03987	−	2.33242i	0.270530	−	0.156190i	0.629128	+	0.777301i	$0.283412\pi$
$224$	−14.9118	−	1.28046i	−0.996333	−	0.0855546i
$225$	9.10691	+	3.50814i	0.607128	+	0.233876i
$226$	−6.62385	+	18.8652i	−0.440612	+	1.25489i
$227$	13.2152			0.877125			0.438563	−	0.898701i	$-0.355488\pi$
$227$	13.2152			0.877125			0.438563	+	0.898701i	$0.355488\pi$
$228$	−4.76239	−	5.52267i	−0.315397	−	0.365748i
$229$	−15.1957			−1.00416			−0.502081	−	0.864821i	$-0.667432\pi$
$229$	−15.1957			−1.00416			−0.502081	+	0.864821i	$0.667432\pi$
$230$	−21.9278	+	4.12470i	−1.44588	+	0.271975i
$231$	−5.88702	−	15.1049i	−0.387338	−	0.993828i
$232$	6.69342	+	3.56507i	0.439445	+	0.234059i
$233$	−5.56063	+	3.21043i	−0.364289	+	0.210322i	−0.670961	−	0.741493i	$-0.734118\pi$
$233$	−5.56063	+	3.21043i	−0.364289	+	0.210322i	0.306671	+	0.951815i	$0.400785\pi$
$234$	−20.4067	−	17.3763i	−1.33402	−	1.13593i
$235$	−5.07926	−	2.93251i	−0.331335	−	0.191296i
$236$	11.0963	+	8.88785i	0.722306	+	0.578550i
$237$	13.9387	−	16.3006i	0.905414	−	1.05884i
$238$	3.00333	+	13.5697i	0.194677	+	0.879593i
$239$	5.51439	−	9.55121i	0.356696	−	0.617816i	−0.630710	−	0.776018i	$-0.717236\pi$
$239$	5.51439	−	9.55121i	0.356696	−	0.617816i	0.987407	+	0.158202i	$0.0505697\pi$
$240$	−16.8646	+	10.5703i	−1.08861	+	0.682312i
$241$	−4.12034			−0.265414			−0.132707	−	0.991155i	$-0.542367\pi$
$241$	−4.12034			−0.265414			−0.132707	+	0.991155i	$0.542367\pi$
$242$	−0.396066	−	2.10557i	−0.0254601	−	0.135351i
$243$	12.3951	−	9.45315i	0.795145	−	0.606420i
$244$	1.71431	−	11.2111i	0.109748	−	0.717716i
$245$	−18.0209	−	8.92464i	−1.15131	−	0.570174i
$246$	−12.8589	−	7.38843i	−0.819853	−	0.471069i
$247$		−	13.2991i		−	0.846201i
$248$	0.640958	+	0.341390i	0.0407009	+	0.0216783i
$249$	−17.9490	+	6.34415i	−1.13747	+	0.402044i
$250$	−6.97501	+	1.31202i	−0.441138	+	0.0829797i
$251$	12.6369			0.797636			0.398818	−	0.917030i	$-0.369421\pi$
$251$	12.6369			0.797636			0.398818	+	0.917030i	$0.369421\pi$
$252$	13.4527	−	8.42755i	0.847443	−	0.530886i
$253$	19.4285			1.22146
$254$	23.5545	−	4.43069i	1.47794	−	0.278006i
$255$	14.0471	+	12.0117i	0.879663	+	0.752201i
$256$	1.33204	−	15.9445i	0.0832523	−	0.996529i
$257$			16.3541i			1.02014i	0.860133	+	0.510070i	$0.170381\pi$
$257$			16.3541i			1.02014i	−0.860133	+	0.510070i	$0.829619\pi$
$258$	−11.7393	+	6.81030i	−0.730856	+	0.423991i
$259$	−3.36279	−	1.80109i	−0.208953	−	0.111914i
$260$	−35.8804	−	5.48655i	−2.22521	−	0.340261i
$261$	−7.94612	+	1.24894i	−0.491852	+	0.0773072i
$262$	1.35988	+	7.22945i	0.0840139	+	0.446637i
$263$	17.8573			1.10113			0.550564	−	0.834793i	$-0.314413\pi$
$263$	17.8573			1.10113			0.550564	+	0.834793i	$0.314413\pi$
$264$	16.1332	−	6.33079i	0.992931	−	0.389633i
$265$	−3.25320	+	5.63471i	−0.199842	+	0.346137i
$266$	7.51138	+	2.37123i	0.460552	+	0.145390i
$267$	4.88162	+	13.8111i	0.298750	+	0.845228i
$268$	9.18500	−	11.4673i	0.561063	−	0.700475i
$269$	−8.25228	−	4.76446i	−0.503150	−	0.290494i	0.226863	−	0.973927i	$-0.427153\pi$
$269$	−8.25228	−	4.76446i	−0.503150	−	0.290494i	−0.730014	+	0.683433i	$0.760486\pi$
$270$	7.54765	−	19.7155i	0.459335	−	1.19984i
$271$	1.00748	−	0.581671i	0.0612002	−	0.0353340i	−0.469088	−	0.883152i	$-0.655417\pi$
$271$	1.00748	−	0.581671i	0.0612002	−	0.0353340i	0.530288	+	0.847818i	$0.322084\pi$
$272$	−14.4992	+	3.24420i	−0.879141	+	0.196708i
$273$	28.6163	+	4.38248i	1.73194	+	0.265240i
$274$	−18.2069	+	3.42478i	−1.09992	+	0.206898i
$275$	−11.5083			−0.693975
$276$	3.55582	+	18.6893i	0.214035	+	1.12496i
$277$	−23.7404			−1.42642			−0.713212	−	0.700949i	$-0.752760\pi$
$277$	−23.7404			−1.42642			−0.713212	+	0.700949i	$0.752760\pi$
$278$	2.09984	−	5.98048i	0.125940	−	0.358685i
$279$	−0.760915	+	0.119597i	−0.0455548	+	0.00716011i
$280$	9.49631	−	19.2871i	0.567513	−	1.15263i
$281$	6.09203	−	3.51723i	0.363420	−	0.209821i	−0.307160	−	0.951658i	$-0.599379\pi$
$281$	6.09203	−	3.51723i	0.363420	−	0.209821i	0.670580	+	0.741837i	$0.266045\pi$
$282$	−2.49137	+	4.33600i	−0.148359	+	0.258205i
$283$	−16.4873	+	9.51893i	−0.980067	+	0.565842i	−0.902290	−	0.431129i	$-0.858115\pi$
$283$	−16.4873	+	9.51893i	−0.980067	+	0.565842i	−0.0777765	+	0.996971i	$0.524782\pi$
$284$	−16.8516	+	6.57222i	−0.999956	+	0.389990i
$285$	9.87621	−	3.49080i	0.585016	−	0.206777i
$286$	29.8211	+	10.4706i	1.76336	+	0.619141i
$287$	16.0105	−	0.510644i	0.945069	−	0.0301424i
$288$	9.04264	+	14.3607i	0.532843	+	0.846214i
$289$	−1.60154	−	2.77395i	−0.0942082	−	0.163173i
$290$	−8.26434	+	7.09668i	−0.485298	+	0.416731i
$291$	16.1865	−	5.72120i	0.948869	−	0.335383i
$292$	−3.54424	+	23.1783i	−0.207411	+	1.35640i
$293$	−13.1105	−	7.56934i	−0.765923	−	0.442206i	0.0654953	−	0.997853i	$-0.479137\pi$
$293$	−13.1105	−	7.56934i	−0.765923	−	0.442206i	−0.831418	+	0.555647i	$0.812471\pi$
$294$	−7.57754	+	15.3812i	−0.441931	+	0.897049i
$295$	−17.6854	+	10.2107i	−1.02968	+	0.594488i
$296$	1.91713	−	3.59941i	0.111431	−	0.209211i
$297$	−9.63237	+	15.6564i	−0.558927	+	0.908474i
$298$	11.7371	−	2.20779i	0.679910	−	0.127894i
$299$	−17.3473	+	30.0463i	−1.00322	+	1.73762i
$300$	−2.10626	−	11.0704i	−0.121605	−	0.639151i
$301$	6.92113	−	12.9224i	0.398928	−	0.744833i
$302$	8.74493	−	1.64495i	0.503214	−	0.0946563i
$303$	25.6836	+	4.77585i	1.47549	+	0.274365i
$304$	−2.51640	+	8.03584i	−0.144325	+	0.460887i
$305$	14.1083	+	8.14544i	0.807840	+	0.466407i
$306$	10.2167	−	11.9985i	0.584052	−	0.685906i
$307$		−	14.8488i		−	0.847463i	−0.905788	−	0.423732i	$-0.860720\pi$
$307$		−	14.8488i		−	0.847463i	0.905788	−	0.423732i	$-0.139280\pi$
$308$	−11.2310	+	14.9761i	−0.639943	+	0.853345i
$309$	2.45570	+	0.456634i	0.139700	+	0.0259770i
$310$	−0.791388	+	0.679574i	−0.0449478	+	0.0385972i
$311$	−3.23069	−	5.59572i	−0.183195	−	0.317304i	0.759771	−	0.650190i	$-0.225311\pi$
$311$	−3.23069	−	5.59572i	−0.183195	−	0.317304i	−0.942967	+	0.332886i	$0.891977\pi$
$312$	−4.61437	+	30.6028i	−0.261237	+	1.73254i
$313$	6.11528	−	10.5920i	0.345656	−	0.598694i	−0.639817	−	0.768528i	$-0.720990\pi$
$313$	6.11528	−	10.5920i	0.345656	−	0.598694i	0.985473	+	0.169834i	$0.0543230\pi$
$314$	10.7250	−	9.20972i	0.605250	−	0.519735i
$315$	4.25678	+	22.4014i	0.239842	+	1.26218i
$316$	−24.4809	−	3.74343i	−1.37716	−	0.210585i
$317$	−17.3463	−	10.0149i	−0.974264	−	0.562492i	−0.0737308	−	0.997278i	$-0.523491\pi$
$317$	−17.3463	−	10.0149i	−0.974264	−	0.562492i	−0.900534	+	0.434786i	$0.856824\pi$
$318$	4.81016	+	2.76381i	0.269740	+	0.154987i
$319$	8.21445	−	4.74261i	0.459921	−	0.265535i
$320$	20.6422	+	10.1043i	1.15393	+	0.564848i
$321$	−5.96885	+	2.10972i	−0.333149	+	0.117753i
$322$	−13.8773	−	15.1551i	−0.773350	−	0.844559i
$323$	7.81944			0.435085
$324$	−16.8236	−	6.40045i	−0.934646	−	0.355580i
$325$	10.2755	−	17.7977i	0.569982	−	0.987237i
$326$	−11.6199	−	13.5318i	−0.643569	−	0.749459i
$327$	19.1773	+	16.3985i	1.06050	+	0.906839i
$328$	0.585447	+	17.1146i	0.0323259	+	0.944997i
$329$	−0.172188	−	5.39871i	−0.00949305	−	0.297641i
$330$	0.0518226	+	24.8942i	0.00285274	+	1.37038i
$331$	−23.8292	−	13.7578i	−1.30977	−	0.756198i	−0.327715	−	0.944777i	$-0.606279\pi$
$331$	−23.8292	−	13.7578i	−1.30977	−	0.756198i	−0.982058	+	0.188579i	$0.939612\pi$
$332$	17.1571	+	13.7424i	0.941616	+	0.754212i
$333$	0.671620	+	4.27305i	0.0368045	+	0.234162i
$334$	11.9584	+	4.19877i	0.654334	+	0.229746i
$335$	10.5520	+	18.2767i	0.576520	+	0.998562i
$336$	−16.4619	−	8.06271i	−0.898068	−	0.439857i
$337$	7.03073	−	12.1776i	0.382988	−	0.663355i	−0.608500	−	0.793554i	$-0.708228\pi$
$337$	7.03073	−	12.1776i	0.382988	−	0.663355i	0.991488	+	0.130199i	$0.0415616\pi$
$338$	−28.8716	+	24.7924i	−1.57041	+	1.34853i
$339$	−15.9146	+	18.6113i	−0.864361	+	1.01083i
$340$	3.22591	−	21.0965i	0.174950	−	1.14412i
$341$	0.786611	−	0.454150i	0.0425974	−	0.0245936i
$342$	−2.99393	−	8.41467i	−0.161893	−	0.455014i
$343$	−1.76877	−	18.4356i	−0.0955048	−	0.995429i
$344$	13.8316	+	7.36706i	0.745753	+	0.397206i
$345$	−26.8665	−	4.99579i	−1.44644	−	0.268964i
$346$	−2.95365	+	8.41220i	−0.158789	+	0.452243i
$347$	8.41428	+	14.5740i	0.451702	+	0.782371i	0.998492	−	0.0548988i	$-0.0174836\pi$
$347$	8.41428	+	14.5740i	0.451702	+	0.782371i	−0.546790	+	0.837270i	$0.684150\pi$
$348$	6.06559	+	7.03392i	0.325150	+	0.377058i
$349$	0.669636	+	1.15984i	0.0358448	+	0.0620850i	0.883391	−	0.468636i	$-0.155254\pi$
$349$	0.669636	+	1.15984i	0.0358448	+	0.0620850i	−0.847546	+	0.530721i	$0.821921\pi$
$350$	8.22007	+	8.97697i	0.439381	+	0.479839i
$351$	−15.6122	−	28.8758i	−0.833318	−	1.54128i
$352$	−16.0379	−	11.9694i	−0.854821	−	0.637970i
$353$		−	1.45611i		−	0.0775010i	−0.999249	−	0.0387505i	$-0.987662\pi$
$353$		−	1.45611i		−	0.0775010i	0.999249	−	0.0387505i	$-0.0123378\pi$
$354$	8.73743	+	15.0612i	0.464389	+	0.800493i
$355$		−	25.9815i		−	1.37896i
$356$	10.5743	−	13.2018i	0.560438	−	0.699694i
$357$	−2.57676	+	16.8254i	−0.136376	+	0.890497i
$358$	19.2011	+	6.74180i	1.01481	+	0.356315i
$359$	−0.574142	−	0.994443i	−0.0303021	−	0.0524847i	0.850477	−	0.526013i	$-0.176314\pi$
$359$	−0.574142	−	0.994443i	−0.0303021	−	0.0524847i	−0.880779	+	0.473528i	$0.842980\pi$
$360$	−23.9376	+	4.60601i	−1.26162	+	0.242758i
$361$	−7.28416	+	12.6165i	−0.383377	+	0.664028i
$362$	−6.23013	−	33.1207i	−0.327448	−	1.74079i
$363$	0.479710	−	2.57979i	0.0251782	−	0.135404i
$364$	−13.1329	−	30.7407i	−0.688350	−	1.61125i
$365$	−29.1681	−	16.8402i	−1.52673	−	0.881457i
$366$	6.92010	−	12.0438i	0.361720	−	0.629540i
$367$		−	2.51626i		−	0.131348i	−0.997841	−	0.0656738i	$-0.979080\pi$
$367$		−	2.51626i		−	0.131348i	0.997841	−	0.0656738i	$-0.0209197\pi$
$368$	16.1671	−	14.8728i	0.842770	−	0.775299i
$369$	−11.4140	−	14.1291i	−0.594187	−	0.735532i
$370$	3.81626	+	4.44417i	0.198398	+	0.231042i
$371$	−5.98909	+	0.191018i	−0.310938	+	0.00991716i
$372$	0.580838	+	0.673564i	0.0301150	+	0.0349227i
$373$	−3.95758			−0.204916			−0.102458	−	0.994737i	$-0.532671\pi$
$373$	−3.95758			−0.204916			−0.102458	+	0.994737i	$0.532671\pi$
$374$	−6.15639	+	17.5338i	−0.318339	+	0.906653i
$375$	−8.54594	−	1.58911i	−0.441310	−	0.0820612i
$376$	5.77103	−	0.197412i	0.297618	−	0.0101807i
$377$			16.9383i			0.872368i
$378$	19.0928	−	3.66927i	0.982030	−	0.188727i
$379$		−	5.59867i		−	0.287584i	−0.989608	−	0.143792i	$-0.954070\pi$
$379$		−	5.59867i		−	0.287584i	0.989608	−	0.143792i	$-0.0459297\pi$
$380$	−9.44048	−	7.56159i	−0.484286	−	0.387902i
$381$	28.8595	+	5.36640i	1.47852	+	0.274929i
$382$	−7.33758	−	2.57633i	−0.375423	−	0.131817i
$383$	−26.0879			−1.33303			−0.666516	−	0.745491i	$-0.732215\pi$
$383$	−26.0879			−1.33303			−0.666516	+	0.745491i	$0.732215\pi$
$384$	8.57872	−	17.6183i	0.437781	−	0.899082i
$385$	−14.1799	−	22.8460i	−0.722675	−	1.16434i
$386$	12.9224	−	11.0966i	0.657733	−	0.564802i
$387$	−16.4203	+	2.58087i	−0.834690	+	0.131193i
$388$	−15.4724	−	12.3930i	−0.785490	−	0.629158i
$389$			6.40736i			0.324866i	0.986720	+	0.162433i	$0.0519342\pi$
$389$			6.40736i			0.324866i	−0.986720	+	0.162433i	$0.948066\pi$
$390$	−38.5454	−	22.1473i	−1.95182	−	1.12147i
$391$	−17.6663	−	10.1996i	−0.893422	−	0.515817i
$392$	19.7041	−	1.93643i	0.995206	−	0.0978045i
$393$	−1.64708	+	8.85767i	−0.0830840	+	0.446811i
$394$	15.5812	−	2.93089i	0.784971	−	0.147656i
$395$	17.7867	−	30.8074i	0.894945	−	1.55009i
$396$	21.2257	−	0.0883722i	1.06663	−	0.00444087i
$397$	−11.5465	−	19.9991i	−0.579500	−	1.00372i	−0.995537	−	0.0943761i	$-0.969914\pi$
$397$	−11.5465	−	19.9991i	−0.579500	−	1.00372i	0.416036	−	0.909348i	$-0.363419\pi$
$398$	8.49949	−	24.2071i	0.426041	−	1.21339i
$399$	7.52811	+	6.03266i	0.376877	+	0.302011i
$400$	−9.57646	+	8.80978i	−0.478823	+	0.440489i
$401$			32.8384i			1.63987i	0.572455	+	0.819936i	$0.305991\pi$
$401$			32.8384i			1.63987i	−0.572455	+	0.819936i	$0.694009\pi$
$402$	15.5647	−	9.02955i	0.776298	−	0.450353i
$403$			1.62200i			0.0807978i
$404$	−10.9606	−	28.1035i	−0.545309	−	1.39820i
$405$	17.3459	−	19.1734i	0.861924	−	0.952735i
$406$	−9.56683	−	3.02011i	−0.474794	−	0.149886i
$407$	−2.55036	−	4.41735i	−0.126416	−	0.218960i
$408$	−17.9935	−	2.71310i	−0.890810	−	0.134319i
$409$	3.65396	+	6.32885i	0.180677	+	0.312941i	0.942111	−	0.335301i	$-0.108838\pi$
$409$	3.65396	+	6.32885i	0.180677	+	0.312941i	−0.761434	+	0.648242i	$0.775505\pi$
$410$	−23.2089	−	8.14900i	−1.14621	−	0.402451i
$411$	−22.3075	−	4.14805i	−1.10035	−	0.204608i
$412$	−1.04798	−	2.68707i	−0.0516301	−	0.132383i
$413$	−16.5790	−	8.87963i	−0.815801	−	0.436938i
$414$	−4.21193	+	22.9163i	−0.207005	+	1.12628i
$415$	−27.3452	+	15.7877i	−1.34232	+	0.774989i
$416$	32.8307	−	14.1155i	1.60966	−	0.692071i
$417$	5.04510	−	5.90001i	0.247060	−	0.288925i
$418$	6.86141	+	7.99036i	0.335603	+	0.390821i
$419$	−4.39689	+	7.61563i	−0.214802	+	0.372048i	−0.953211	−	0.302305i	$-0.902244\pi$
$419$	−4.39689	+	7.61563i	−0.214802	+	0.372048i	0.738409	+	0.674353i	$0.235577\pi$
$420$	19.3816	−	17.8217i	0.945724	−	0.869611i
$421$	18.6580	+	32.3165i	0.909334	+	1.57501i	0.814992	+	0.579472i	$0.196741\pi$
$421$	18.6580	+	32.3165i	0.909334	+	1.57501i	0.0943413	+	0.995540i	$0.469926\pi$
$422$	−0.860576	+	2.45098i	−0.0418922	+	0.119312i
$423$	−4.76431	+	3.84877i	−0.231649	+	0.187134i
$424$	−0.219000	−	6.40212i	−0.0106356	−	0.310914i
$425$	10.4645	+	6.04166i	0.507601	+	0.293064i
$426$	−22.1529	+	0.0461161i	−1.07331	+	0.00223433i
$427$	0.478276	+	14.9956i	0.0231454	+	0.725690i
$428$	5.70550	+	4.56997i	0.275786	+	0.220898i
$429$	29.4198	+	25.1569i	1.42040	+	1.21459i
$430$	−17.0779	+	14.6650i	−0.823568	+	0.707207i
$431$	−11.2054	+	19.4082i	−0.539743	+	0.934862i	0.459175	+	0.888346i	$0.348145\pi$
$431$	−11.2054	+	19.4082i	−0.539743	+	0.934862i	−0.998918	+	0.0465160i	$0.985188\pi$
$432$	3.96976	+	20.4020i	0.190995	+	0.981591i
$433$	−41.0490			−1.97269			−0.986343	−	0.164702i	$-0.947334\pi$
$433$	−41.0490			−1.97269			−0.986343	+	0.164702i	$0.947334\pi$
$434$	−0.916115	−	0.289204i	−0.0439749	−	0.0138822i
$435$	−12.5788	+	4.44604i	−0.603107	+	0.213171i
$436$	4.40405	−	28.8012i	0.210916	−	1.37933i
$437$	−10.0124	+	5.78066i	−0.478958	+	0.276527i
$438$	−14.3069	+	24.8998i	−0.683610	+	1.18976i
$439$	33.7983	+	19.5135i	1.61310	+	0.931326i	0.988645	+	0.150269i	$0.0480141\pi$
$439$	33.7983	+	19.5135i	1.61310	+	0.931326i	0.624460	+	0.781057i	$0.285319\pi$
$440$	24.3883	−	15.2154i	1.16267	−	0.725364i
$441$	−15.4615	+	14.2106i	−0.736262	+	0.676696i
$442$	−21.6194	−	25.1765i	−1.02833	−	1.19752i
$443$	−7.31109	+	12.6632i	−0.347360	+	0.601646i	−0.985780	−	0.168043i	$-0.946255\pi$
$443$	−7.31109	+	12.6632i	−0.347360	+	0.601646i	0.638419	+	0.769689i	$0.279589\pi$
$444$	3.78251	−	3.26179i	0.179510	−	0.154798i
$445$	12.1481	+	21.0412i	0.575877	+	0.997449i
$446$	−4.29785	−	5.00500i	−0.203509	−	0.236993i
$447$	14.3805	+	2.67404i	0.680175	+	0.126478i
$448$	2.11880	+	21.0597i	0.100104	+	0.994977i
$449$			4.89587i			0.231051i	0.993305	+	0.115525i	$0.0368551\pi$
$449$			4.89587i			0.231051i	−0.993305	+	0.115525i	$0.963145\pi$
$450$	2.49490	−	13.5743i	0.117611	−	0.639898i
$451$	18.5491	+	10.7093i	0.873441	+	0.504282i
$452$	27.9513	+	4.27409i	1.31472	+	0.201036i
$453$	10.7145	+	1.99235i	0.503410	+	0.0936086i
$454$	−3.45490	−	18.3670i	−0.162147	−	0.862007i
$455$	47.9926	−	1.53069i	2.24993	−	0.0717599i
$456$	−6.43057	+	8.06277i	−0.301139	+	0.377574i
$457$	14.5077	−	25.1280i	0.678639	−	1.17544i	−0.296752	−	0.954955i	$-0.595903\pi$
$457$	14.5077	−	25.1280i	0.678639	−	1.17544i	0.975391	−	0.220483i	$-0.0707633\pi$
$458$	3.97267	+	21.1196i	0.185631	+	0.986855i
$459$	16.9780	−	9.17948i	0.792467	−	0.428461i
$460$	11.4654	+	29.3978i	0.534575	+	1.37068i
$461$	−6.60037	+	3.81073i	−0.307410	+	0.177483i	−0.645767	−	0.763535i	$-0.723462\pi$
$461$	−6.60037	+	3.81073i	−0.307410	+	0.177483i	0.338357	+	0.941018i	$0.390129\pi$
$462$	−19.4543	+	12.1309i	−0.905095	+	0.564382i
$463$	11.4432	+	6.60672i	0.531810	+	0.307040i	0.741753	−	0.670673i	$-0.233995\pi$
$463$	11.4432	+	6.60672i	0.531810	+	0.307040i	−0.209943	+	0.977714i	$0.567328\pi$
$464$	3.20499	−	10.2348i	0.148788	−	0.475139i
$465$	−1.20454	+	0.425750i	−0.0558591	+	0.0197437i
$466$	5.91572	+	6.88907i	0.274040	+	0.319130i
$467$	4.71551	+	8.16751i	0.218208	+	0.377947i	0.954260	−	0.298977i	$-0.0966455\pi$
$467$	4.71551	+	8.16751i	0.218208	+	0.377947i	−0.736052	+	0.676925i	$0.763312\pi$
$468$	−18.8153	+	32.9047i	−0.869739	+	1.52102i
$469$	−9.17650	+	17.1333i	−0.423731	+	0.791144i
$470$	−2.74783	+	7.82602i	−0.126748	+	0.360987i
$471$	16.3241	−	5.76985i	0.752176	−	0.265861i
$472$	9.45174	−	17.7456i	0.435052	−	0.816809i
$473$	16.9748	−	9.80040i	0.780502	−	0.450623i
$474$	−26.2993	−	15.1110i	−1.20797	−	0.694071i
$475$	5.93076	−	3.42413i	0.272122	−	0.157110i
$476$	18.0745	−	7.72172i	0.828445	−	0.353924i
$477$	4.26965	+	5.28531i	0.195494	+	0.241998i
$478$	−14.7163	−	5.16711i	−0.673107	−	0.236338i
$479$	3.94024			0.180034			0.0900170	−	0.995940i	$-0.471308\pi$
$479$	3.94024			0.180034			0.0900170	+	0.995940i	$0.471308\pi$
$480$	19.1000	+	20.6757i	0.871794	+	0.943712i
$481$	9.10864			0.415318
$482$	1.07719	+	5.72660i	0.0490649	+	0.260840i
$483$	−9.13911	−	23.4491i	−0.415844	−	1.06697i
$484$	−2.82286	+	1.10093i	−0.128312	+	0.0500425i
$485$	24.6600	−	14.2375i	1.11976	−	0.646491i
$486$	−16.3788	−	14.7558i	−0.742959	−	0.669336i
$487$	−29.7489	−	17.1756i	−1.34805	−	0.778299i	−0.360079	−	0.932922i	$-0.617250\pi$
$487$	−29.7489	−	17.1756i	−1.34805	−	0.778299i	−0.987974	+	0.154623i	$0.950584\pi$
$488$	−16.0298	+	0.548337i	−0.725634	+	0.0248221i
$489$	−7.27984	−	20.5962i	−0.329206	−	0.931393i
$490$	−7.69255	+	27.3793i	−0.347514	+	1.23687i
$491$	−15.4355	+	26.7350i	−0.696592	+	1.20653i	0.273049	+	0.962000i	$0.411968\pi$
$491$	−15.4355	+	26.7350i	−0.696592	+	1.20653i	−0.969641	+	0.244533i	$0.921365\pi$
$492$	−6.90699	+	19.8034i	−0.311391	+	0.892805i
$493$	−9.95919			−0.448539
$494$	−18.4836	+	3.47683i	−0.831616	+	0.156430i
$495$	−10.9599	+	28.4511i	−0.492610	+	1.27878i
$496$	0.306908	−	0.980079i	0.0137806	−	0.0440069i
$497$	20.3303	−	12.6185i	0.911938	−	0.566016i
$498$	13.5098	+	23.2876i	0.605389	+	1.04354i
$499$			5.12747i			0.229537i	0.993392	+	0.114768i	$0.0366126\pi$
$499$			5.12747i			0.229537i	−0.993392	+	0.114768i	$0.963387\pi$
$500$	3.64701	+	9.35113i	0.163099	+	0.418195i
$501$	11.7975	+	10.0880i	0.527072	+	0.450700i
$502$	−3.30372	−	17.5633i	−0.147452	−	0.783888i
$503$	−6.16708			−0.274976			−0.137488	−	0.990503i	$-0.543903\pi$
$503$	−6.16708			−0.274976			−0.137488	+	0.990503i	$0.543903\pi$
$504$	−15.2299	−	16.4939i	−0.678396	−	0.734697i
$505$	43.3297			1.92814
$506$	−5.07925	−	27.0024i	−0.225800	−	1.20040i
$507$	−43.9442	+	15.5323i	−1.95163	+	0.689814i
$508$	−12.3159	−	31.5786i	−0.546429	−	1.40108i
$509$		−	9.99588i		−	0.443059i	−0.975154	−	0.221530i	$-0.928895\pi$
$509$		−	9.99588i		−	0.443059i	0.975154	−	0.221530i	$-0.0711050\pi$
$510$	13.0219	−	22.6635i	0.576620	−	1.00355i
$511$	−0.988806	−	31.0026i	−0.0437422	−	1.37147i
$512$	−22.5085	+	2.31710i	−0.994743	+	0.102402i
$513$	0.305686	−	10.9344i	0.0134964	−	0.482768i
$514$	22.7296	−	4.27551i	1.00256	−	0.188585i
$515$	4.14289			0.182558
$516$	12.5343	+	14.5353i	0.551791	+	0.639880i
$517$	3.61116	−	6.25472i	0.158819	−	0.275082i
$518$	−1.62407	+	5.14459i	−0.0713577	+	0.226041i
$519$	−7.09649	+	8.29901i	−0.311501	+	0.364286i
$520$	1.75492	+	51.3023i	0.0769582	+	2.24975i
$521$	−10.2779	−	5.93396i	−0.450284	−	0.259971i	0.257666	−	0.966234i	$-0.417046\pi$
$521$	−10.2779	−	5.93396i	−0.450284	−	0.259971i	−0.707950	+	0.706263i	$0.750380\pi$
$522$	3.81320	+	10.7173i	0.166899	+	0.469084i
$523$	13.5741	−	7.83700i	0.593553	−	0.342688i	−0.172948	−	0.984931i	$-0.555329\pi$
$523$	13.5741	−	7.83700i	0.593553	−	0.342688i	0.766501	+	0.642243i	$0.221996\pi$
$524$	9.69225	−	3.78004i	0.423408	−	0.165132i
$525$	5.41347	+	13.8898i	0.236263	+	0.606203i
$526$	−4.66850	−	24.8188i	−0.203556	−	1.08215i
$527$	−0.953686			−0.0415432
$528$	−13.0165	−	20.7675i	−0.566472	−	0.903789i
$529$	7.16105			0.311350
$530$	8.68183	+	3.04832i	0.377115	+	0.132411i
$531$	3.31119	+	21.0668i	0.143693	+	0.914220i
$532$	1.33191	−	11.0595i	0.0577454	−	0.479492i
$533$	−33.1241	+	19.1242i	−1.43477	+	0.828362i
$534$	17.9190	−	10.3954i	0.775433	−	0.449851i
$535$	−9.09351	+	5.25014i	−0.393147	+	0.226983i
$536$	−18.3389	−	9.76774i	−0.792121	−	0.421902i
$537$	18.9428	+	16.1980i	0.817440	+	0.698994i
$538$	−4.46440	+	12.7149i	−0.192474	+	0.548180i
$539$	10.9900	−	22.1913i	0.473373	−	0.955847i
$540$	−29.3745	−	5.33573i	−1.26408	−	0.229613i
$541$	16.2898	+	28.2148i	0.700354	+	1.21305i	0.968342	+	0.249627i	$0.0803079\pi$
$541$	16.2898	+	28.2148i	0.700354	+	1.21305i	−0.267988	+	0.963422i	$0.586359\pi$
$542$	−1.07182	−	1.24817i	−0.0460386	−	0.0536135i
$543$	7.54586	−	40.5802i	0.323824	−	1.74146i
$544$	8.29949	+	19.3034i	0.355838	+	0.827625i
$545$	36.2442	+	20.9256i	1.55253	+	0.896353i
$546$	−1.39032	−	40.9177i	−0.0595000	−	1.75112i
$547$	14.3949	−	8.31091i	0.615482	−	0.355349i	−0.159626	−	0.987178i	$-0.551029\pi$
$547$	14.3949	−	8.31091i	0.615482	−	0.355349i	0.775108	+	0.631829i	$0.217695\pi$
$548$	9.51978	+	24.4093i	0.406665	+	1.04271i
$549$	13.2335	−	10.6905i	0.564792	−	0.456258i
$550$	3.00865	+	15.9946i	0.128289	+	0.682014i
$551$	−2.82220	+	4.88819i	−0.120230	+	0.208244i
$552$	25.0455	−	9.82802i	1.06601	−	0.418308i
$553$	32.7450	−	1.04438i	1.39246	−	0.0444116i
$554$	6.20654	+	32.9954i	0.263691	+	1.40184i
$555$	2.39087	+	6.76428i	0.101487	+	0.287128i
$556$	−8.86087	−	1.35494i	−0.375785	−	0.0574621i
$557$	9.30728	+	5.37356i	0.394362	+	0.227685i	0.684049	−	0.729436i	$-0.260218\pi$
$557$	9.30728	+	5.37356i	0.394362	+	0.227685i	−0.289686	+	0.957122i	$0.593551\pi$
$558$	0.365150	+	1.02628i	0.0154580	+	0.0434460i
$559$			35.0023i			1.48044i
$560$	−29.2886	−	8.15603i	−1.23767	−	0.344655i
$561$	−14.7915	+	17.2979i	−0.624496	+	0.730318i
$562$	−6.48105	−	7.54741i	−0.273387	−	0.318368i
$563$	−0.348722	−	0.604004i	−0.0146969	−	0.0254557i	0.858583	−	0.512674i	$-0.171345\pi$
$563$	−0.348722	−	0.604004i	−0.0146969	−	0.0254557i	−0.873280	+	0.487218i	$0.838012\pi$
$564$	6.67767	+	2.32903i	0.281180	+	0.0980697i
$565$	−20.3081	+	35.1746i	−0.854366	+	1.47981i
$566$	17.5401	+	20.4261i	0.737266	+	0.858573i
$567$	23.4274	+	4.26101i	0.983859	+	0.178946i
$568$	13.5399	+	21.7028i	0.568121	+	0.910627i
$569$	5.08845	+	2.93782i	0.213319	+	0.123160i	0.602853	−	0.797852i	$-0.294031\pi$
$569$	5.08845	+	2.93782i	0.213319	+	0.123160i	−0.389534	+	0.921012i	$0.627364\pi$
$570$	−7.43362	−	12.8137i	−0.311360	−	0.536708i
$571$	−31.1397	+	17.9785i	−1.30316	+	0.752378i	−0.980944	−	0.194289i	$-0.937760\pi$
$571$	−31.1397	+	17.9785i	−1.30316	+	0.752378i	−0.322213	+	0.946667i	$0.604427\pi$
$572$	6.75625	−	44.1839i	0.282493	−	1.84742i
$573$	−7.23885	−	6.18994i	−0.302407	−	0.258589i
$574$	−4.89539	−	22.1185i	−0.204330	−	0.923209i
$575$	−17.8656			−0.745048
$576$	17.5951	−	16.3222i	0.733127	−	0.680091i
$577$	−15.0558	+	26.0774i	−0.626782	+	1.08562i	0.361411	+	0.932406i	$0.382295\pi$
$577$	−15.0558	+	26.0774i	−0.626782	+	1.08562i	−0.988193	+	0.153212i	$0.951038\pi$
$578$	−3.43664	+	2.95108i	−0.142946	+	0.122749i
$579$	19.6686	−	6.95197i	0.817400	−	0.288914i
$580$	12.0238	+	9.63078i	0.499262	+	0.399897i
$581$	−25.6345	−	13.7297i	−1.06350	−	0.569603i
$582$	−12.1832	−	21.0009i	−0.505012	−	0.870516i
$583$	−6.93870	−	4.00606i	−0.287372	−	0.165914i
$584$	33.1406	−	1.13365i	1.37137	−	0.0469110i
$585$	−34.2141	−	42.3530i	−1.41458	−	1.75108i
$586$	−7.09265	+	20.2004i	−0.292995	+	0.834469i
$587$	−16.3434	−	28.3076i	−0.674563	−	1.16838i	−0.976596	−	0.215080i	$-0.930999\pi$
$587$	−16.3434	−	28.3076i	−0.674563	−	1.16838i	0.302033	−	0.953297i	$-0.402335\pi$
$588$	23.3584	+	6.51040i	0.963284	+	0.268484i
$589$	−0.270252	+	0.468090i	−0.0111355	+	0.0192873i
$590$	18.8147	+	21.9104i	0.774591	+	0.902039i
$591$	19.0905	+	3.54985i	0.785277	+	0.146022i
$592$	−5.50380	−	1.72350i	−0.226205	−	0.0708352i
$593$	23.5045	−	13.5704i	0.965216	−	0.557268i	0.0674416	−	0.997723i	$-0.478516\pi$
$593$	23.5045	−	13.5704i	0.965216	−	0.557268i	0.897774	+	0.440455i	$0.145183\pi$
$594$	24.2781	+	9.29434i	0.996141	+	0.381352i
$595$	0.899997	+	28.2181i	0.0368963	+	1.15683i
$596$	−6.13693	−	15.7355i	−0.251379	−	0.644549i
$597$	20.4210	−	23.8814i	0.835777	−	0.977401i
$598$	46.2947	+	16.2548i	1.89313	+	0.664707i
$599$	−23.5306	−	40.7562i	−0.961433	−	1.66525i	−0.718907	−	0.695107i	$-0.755357\pi$
$599$	−23.5306	−	40.7562i	−0.961433	−	1.66525i	−0.242527	−	0.970145i	$-0.577976\pi$
$600$	−14.8355	+	5.82154i	−0.605655	+	0.237663i
$601$	6.84978	+	11.8642i	0.279408	+	0.483950i	0.971238	−	0.238111i	$-0.0765283\pi$
$601$	6.84978	+	11.8642i	0.279408	+	0.483950i	−0.691829	+	0.722061i	$0.743195\pi$
$602$	−19.7694	−	6.24092i	−0.805742	−	0.254361i
$603$	21.7711	−	3.42189i	0.886588	−	0.139350i
$604$	−4.57244	−	11.7240i	−0.186050	−	0.477043i
$605$		−	4.35225i		−	0.176944i
$606$	−0.0769083	−	36.9447i	−0.00312419	−	1.50077i
$607$		−	44.1997i		−	1.79401i	−0.442021	−	0.897005i	$-0.645738\pi$
$607$		−	44.1997i		−	1.79401i	0.442021	−	0.897005i	$-0.354262\pi$
$608$	11.8264	+	1.39655i	0.479624	+	0.0566374i
$609$	−9.58814	−	7.68347i	−0.388531	−	0.311350i
$610$	7.63247	−	21.7378i	0.309030	−	0.880138i
$611$	6.44866	+	11.1694i	0.260885	+	0.451866i
$612$	−19.3469	−	11.0628i	−0.782053	−	0.447188i
$613$	15.3894	−	26.6553i	0.621573	−	1.07660i	−0.367620	−	0.929976i	$-0.619827\pi$
$613$	15.3894	−	26.6553i	0.621573	−	1.07660i	0.989193	−	0.146620i	$-0.0468394\pi$
$614$	−20.6374	+	3.88196i	−0.832857	+	0.156663i
$615$	−22.8966	−	19.5789i	−0.923282	−	0.789499i
$616$	23.7506	+	11.6940i	0.956938	+	0.471163i
$617$	6.67742	+	3.85521i	0.268823	+	0.155205i	0.628353	−	0.777929i	$-0.283730\pi$
$617$	6.67742	+	3.85521i	0.268823	+	0.155205i	−0.359530	+	0.933134i	$0.617063\pi$
$618$	−0.00735346	−	3.53240i	−0.000295799	−	0.142094i
$619$			13.6833i			0.549978i	0.961447	+	0.274989i	$0.0886743\pi$
$619$			13.6833i			0.549978i	−0.961447	+	0.274989i	$0.911326\pi$
$620$	1.15139	+	0.922239i	0.0462411	+	0.0370380i
$621$	−14.9535	+	24.3052i	−0.600061	+	0.975334i
$622$	−6.93253	+	5.95304i	−0.277969	+	0.238695i
$623$	−10.5645	+	19.7249i	−0.423259	+	0.790262i
$624$	43.7394	−	1.58738i	1.75098	−	0.0635459i
$625$	−30.6829			−1.22731
$626$	−16.3199	−	5.73016i	−0.652274	−	0.229023i
$627$	4.29864	+	12.1618i	0.171671	+	0.485695i
$628$	−15.6039	−	12.4984i	−0.622664	−	0.498739i
$629$			5.35559i			0.213541i
$630$	30.0215	−	11.7727i	1.19609	−	0.469037i
$631$		−	7.14717i		−	0.284524i	−0.989829	−	0.142262i	$-0.954562\pi$
$631$		−	7.14717i		−	0.284524i	0.989829	−	0.142262i	$-0.0454376\pi$
$632$	1.19737	+	35.0032i	0.0476288	+	1.39235i
$633$	−2.06764	+	2.41800i	−0.0821811	+	0.0961069i
$634$	−9.38417	+	26.7268i	−0.372693	+	1.06146i
$635$	48.6875			1.93211
$636$	2.58372	−	7.40790i	0.102451	−	0.293742i
$637$	24.5064	+	36.8103i	0.970977	+	1.45848i
$638$	−8.73901	−	10.1769i	−0.345981	−	0.402907i
$639$	−25.3182	−	9.75301i	−1.00157	−	0.385823i
$640$	8.64680	−	31.3309i	0.341795	−	1.23846i
$641$		−	45.7652i		−	1.80762i	−0.427937	−	0.903809i	$-0.640759\pi$
$641$		−	45.7652i		−	1.80762i	0.427937	−	0.903809i	$-0.359241\pi$
$642$	4.49263	+	7.74418i	0.177310	+	0.305639i
$643$	−7.64287	−	4.41261i	−0.301405	−	0.174016i	0.341669	−	0.939820i	$-0.389008\pi$
$643$	−7.64287	−	4.41261i	−0.301405	−	0.174016i	−0.643074	+	0.765804i	$0.722341\pi$
$644$	−17.4351	+	23.2492i	−0.687040	+	0.916147i
$645$	−25.9935	+	9.18753i	−1.02349	+	0.361759i
$646$	−2.04426	−	10.8678i	−0.0804305	−	0.427586i
$647$	−9.24938	+	16.0204i	−0.363630	+	0.629826i	−0.988555	−	0.150858i	$-0.951796\pi$
$647$	−9.24938	+	16.0204i	−0.363630	+	0.629826i	0.624925	+	0.780685i	$0.285130\pi$
$648$	−4.49733	+	25.0554i	−0.176672	+	0.984270i
$649$	−12.5736	−	21.7782i	−0.493559	−	0.854869i
$650$	−27.4223	−	9.62837i	−1.07559	−	0.377656i
$651$	−0.918155	−	0.735765i	−0.0359853	−	0.0288369i
$652$	−15.7692	+	19.6875i	−0.617570	+	0.771023i
$653$			15.5423i			0.608218i	0.952637	+	0.304109i	$0.0983586\pi$
$653$			15.5423i			0.608218i	−0.952637	+	0.304109i	$0.901641\pi$
$654$	17.7777	−	30.9404i	0.695162	−	1.20987i
$655$			14.9434i			0.583886i
$656$	23.6335	−	5.28802i	0.922734	−	0.206462i
$657$	−27.3595	+	22.1019i	−1.06739	+	0.862277i
$658$	−7.45833	+	1.65072i	−0.290756	+	0.0643517i
$659$	−24.9174	−	43.1582i	−0.970644	−	1.68120i	−0.693619	−	0.720342i	$-0.743985\pi$
$659$	−24.9174	−	43.1582i	−0.970644	−	1.68120i	−0.277025	−	0.960863i	$-0.589348\pi$
$660$	34.5854	−	6.58020i	1.34623	−	0.256134i
$661$	−17.4624	−	30.2458i	−0.679209	−	1.17643i	−0.975219	−	0.221240i	$-0.928989\pi$
$661$	−17.4624	−	30.2458i	−0.679209	−	1.17643i	0.296010	−	0.955185i	$-0.404344\pi$
$662$	−12.8914	+	36.7155i	−0.501038	+	1.42699i
$663$	−13.5444	−	38.3201i	−0.526022	−	1.48823i
$664$	14.6143	−	27.4383i	0.567144	−	1.06481i
$665$	14.1051	+	7.55460i	0.546972	+	0.292955i
$666$	5.76327	−	2.05056i	0.223322	−	0.0794577i
$667$	12.7522	−	7.36251i	0.493769	−	0.285078i
$668$	2.70929	−	17.7179i	0.104825	−	0.685527i
$669$	−2.69258	−	7.61789i	−0.104101	−	0.294525i
$670$	22.6430	−	19.4438i	0.874775	−	0.751179i
$671$	−10.0305	+	17.3733i	−0.387222	+	0.670689i
$672$	−6.90219	+	24.9872i	−0.266258	+	0.963902i
$673$	−17.4451	−	30.2158i	−0.672459	−	1.16473i	−0.977205	−	0.212300i	$-0.931905\pi$
$673$	−17.4451	−	30.2158i	−0.672459	−	1.16473i	0.304745	−	0.952434i	$-0.401429\pi$
$674$	−18.7629	−	6.58795i	−0.722722	−	0.253758i
$675$	8.85754	−	14.3970i	0.340927	−	0.554140i
$676$	42.0054	+	33.6453i	1.61559	+	1.29405i
$677$	22.1167	+	12.7691i	0.850015	+	0.490757i	0.860656	−	0.509187i	$-0.170054\pi$
$677$	22.1167	+	12.7691i	0.850015	+	0.490757i	−0.0106407	+	0.999943i	$0.503387\pi$
$678$	30.0274	+	17.2531i	1.15319	+	0.662600i
$679$	23.1174	+	12.3815i	0.887163	+	0.475159i
$680$	−30.1641	+	1.03184i	−1.15674	+	0.0395691i
$681$	4.18454	−	22.5037i	0.160352	−	0.862343i
$682$	−0.836842	−	0.974533i	−0.0320443	−	0.0373168i
$683$	0.707620	−	1.22563i	0.0270763	−	0.0468976i	−0.852170	−	0.523265i	$-0.824714\pi$
$683$	0.707620	−	1.22563i	0.0270763	−	0.0468976i	0.879246	+	0.476368i	$0.158047\pi$
$684$	−10.9123	+	6.36096i	−0.417243	+	0.243217i
$685$	−37.6339			−1.43792
$686$	−25.1601	+	7.27800i	−0.960617	+	0.277875i
$687$	−4.81166	+	25.8762i	−0.183576	+	0.987239i
$688$	6.62298	−	21.1498i	0.252499	−	0.806327i
$689$	12.3908	−	7.15385i	0.472053	−	0.272540i
$690$	0.0804503	+	38.6461i	0.00306269	+	1.47123i
$691$	25.7347	+	14.8580i	0.978996	+	0.565223i	0.901967	−	0.431805i	$-0.142123\pi$
$691$	25.7347	+	14.8580i	0.978996	+	0.565223i	0.0770289	+	0.997029i	$0.475457\pi$
$692$	12.4638	+	1.90587i	0.473802	+	0.0724501i
$693$	−27.5856	+	5.24189i	−1.04789	+	0.199123i
$694$	18.0557	−	15.5046i	0.685384	−	0.588547i
$695$	6.43789	−	11.1508i	0.244203	−	0.422972i
$696$	8.19027	−	10.2691i	0.310451	−	0.389249i
$697$	−11.2444	−	19.4759i	−0.425913	−	0.737703i
$698$	1.43693	−	1.23391i	0.0543886	−	0.0467041i
$699$	3.70617	+	10.4856i	0.140180	+	0.396600i
$700$	10.3275	−	13.7715i	0.390344	−	0.520512i
$701$		−	37.7345i		−	1.42521i	−0.701565	−	0.712605i	$-0.747515\pi$
$701$		−	37.7345i		−	1.42521i	0.701565	−	0.712605i	$-0.252485\pi$
$702$	−36.0512	+	29.2476i	−1.36066	+	1.10388i
$703$	2.62864	+	1.51765i	0.0991410	+	0.0572391i
$704$	−12.4427	+	25.4193i	−0.468951	+	0.958024i
$705$	−6.60199	+	7.72071i	−0.248645	+	0.290779i
$706$	−2.02376	+	0.380677i	−0.0761653	+	0.0143270i
$707$	21.0440	+	33.9050i	0.791440	+	1.27513i
$708$	18.6484	−	16.0811i	0.700848	−	0.604366i
$709$	−2.19013	+	3.79342i	−0.0822521	+	0.142465i	−0.904217	−	0.427073i	$-0.859545\pi$
$709$	−2.19013	+	3.79342i	−0.0822521	+	0.142465i	0.821965	+	0.569538i	$0.192878\pi$
$710$	−36.1101	+	6.79244i	−1.35519	+	0.254916i
$711$	−23.3441	−	28.8971i	−0.875471	−	1.08373i
$712$	−21.1129	−	11.2452i	−0.791238	−	0.421432i
$713$	1.22115	−	0.705030i	0.0457324	−	0.0264036i
$714$	24.0583	−	0.817461i	0.900360	−	0.0305927i
$715$	55.6021	+	32.1019i	2.07940	+	1.20054i
$716$	4.35020	−	28.4490i	0.162575	−	1.06319i
$717$	−14.5183	−	12.4146i	−0.542195	−	0.463631i
$718$	−1.23202	+	1.05795i	−0.0459784	+	0.0394822i
$719$	−21.7265	−	37.6314i	−0.810261	−	1.40341i	−0.912681	−	0.408672i	$-0.865992\pi$
$719$	−21.7265	−	37.6314i	−0.810261	−	1.40341i	0.102421	−	0.994741i	$-0.467341\pi$
$720$	12.6597	+	32.0652i	0.471799	+	1.19500i
$721$	2.01208	+	3.24177i	0.0749339	+	0.120730i
$722$	19.4393	+	6.82542i	0.723455	+	0.254016i
$723$	−1.30469	+	7.01636i	−0.0485218	+	0.260941i
$724$	−44.4037	+	17.3177i	−1.65025	+	0.643609i
$725$	−7.55368	+	4.36112i	−0.280537	+	0.161968i
$726$	−3.71091	+	0.00772506i	−0.137725	+	0.000286704i
$727$	−21.6003	+	12.4710i	−0.801112	+	0.462522i	−0.843860	−	0.536564i	$-0.819722\pi$
$727$	−21.6003	+	12.4710i	−0.801112	+	0.462522i	0.0427480	+	0.999086i	$0.486389\pi$
$728$	−39.2912	+	26.2893i	−1.45623	+	0.974345i
$729$	−12.1726	−	24.1004i	−0.450835	−	0.892607i
$730$	−15.7797	+	44.9416i	−0.584032	+	1.66336i
$731$	−20.5802			−0.761187
$732$	−18.5481	−	6.46918i	−0.685557	−	0.239108i
$733$	−15.0009			−0.554070			−0.277035	−	0.960860i	$-0.589352\pi$
$733$	−15.0009			−0.554070			−0.277035	+	0.960860i	$0.589352\pi$
$734$	−3.49720	+	0.657835i	−0.129084	+	0.0242811i
$735$	−20.9037	+	27.8611i	−0.771043	+	1.02767i
$736$	−24.8974	−	18.5815i	−0.917732	−	0.684922i
$737$	−22.5063	+	12.9940i	−0.829030	+	0.478641i
$738$	−16.6532	+	19.5574i	−0.613012	+	0.719917i
$739$	−3.08238	−	1.77962i	−0.113387	−	0.0654642i	0.442234	−	0.896900i	$-0.354186\pi$
$739$	−3.08238	−	1.77962i	−0.113387	−	0.0654642i	−0.555621	+	0.831436i	$0.687519\pi$
$740$	5.17898	−	6.46584i	0.190383	−	0.237689i
$741$	−22.6465	−	4.21110i	−0.831940	−	0.154698i
$742$	1.83123	+	8.27393i	0.0672267	+	0.303746i
$743$	24.3308	−	42.1422i	0.892610	−	1.54605i	0.0558753	−	0.998438i	$-0.482205\pi$
$743$	24.3308	−	42.1422i	0.892610	−	1.54605i	0.836735	−	0.547608i	$-0.184462\pi$
$744$	0.784295	−	0.983363i	0.0287537	−	0.0360518i
$745$	24.2607			0.888844
$746$	1.03465	+	5.50040i	0.0378811	+	0.201384i
$747$	5.11975	+	32.5734i	0.187322	+	1.19180i
$748$	25.9787	+	3.97246i	0.949875	+	0.145247i
$749$	−8.52464	−	4.56574i	−0.311484	−	0.166829i
$750$	0.0255904	+	12.2929i	0.000934428	+	0.448874i
$751$			21.4737i			0.783588i	0.920053	+	0.391794i	$0.128145\pi$
$751$			21.4737i			0.783588i	−0.920053	+	0.391794i	$0.871855\pi$
$752$	−1.78311	−	7.96919i	−0.0650234	−	0.290606i
$753$	4.00143	−	21.5189i	0.145820	−	0.784194i
$754$	23.5415	−	4.42825i	0.857332	−	0.161267i
$755$	18.0759			0.657849
$756$	−10.0912	−	25.5767i	−0.367014	−	0.930216i
$757$	2.47427			0.0899289			0.0449645	−	0.998989i	$-0.485683\pi$
$757$	2.47427			0.0899289			0.0449645	+	0.998989i	$0.485683\pi$
$758$	−7.78125	+	1.46368i	−0.282628	+	0.0531632i
$759$	6.15193	−	33.0840i	0.223301	−	1.20087i
$760$	−8.04134	+	15.0976i	−0.291690	+	0.547647i
$761$			45.0235i			1.63210i	0.577980	+	0.816051i	$0.303841\pi$
$761$			45.0235i			1.63210i	−0.577980	+	0.816051i	$0.696159\pi$
$762$	−0.0864183	−	41.5130i	−0.00313060	−	1.50386i
$763$	1.22869	+	38.5237i	0.0444814	+	1.39465i
$764$	−1.66240	+	10.8716i	−0.0601435	+	0.393320i
$765$	24.9022	−	20.1168i	0.900340	−	0.727325i
$766$	6.82026	+	36.2580i	0.246426	+	1.31006i
$767$	44.9070			1.62150
$768$	−26.7294	−	7.31701i	−0.964515	−	0.264030i
$769$	−7.14970	+	12.3836i	−0.257825	+	0.446566i	−0.965659	−	0.259813i	$-0.916339\pi$
$769$	−7.14970	+	12.3836i	−0.257825	+	0.446566i	0.707834	+	0.706379i	$0.249672\pi$
$770$	−28.0452	+	25.6805i	−1.01068	+	0.925462i
$771$	27.8488	+	5.17845i	1.00295	+	0.186497i
$772$	−18.8008	−	15.0590i	−0.676657	−	0.541986i
$773$	42.1150	+	24.3151i	1.51477	+	0.874553i	0.999850	+	0.0173147i	$0.00551170\pi$
$773$	42.1150	+	24.3151i	1.51477	+	0.874553i	0.514920	+	0.857238i	$0.327822\pi$
$774$	7.87981	+	22.1468i	0.283234	+	0.796051i
$775$	−0.723336	+	0.417618i	−0.0259830	+	0.0150013i
$776$	−13.1793	+	24.7440i	−0.473108	+	0.888259i
$777$	−4.13181	+	5.15605i	−0.148228	+	0.184972i
$778$	8.90520	−	1.67510i	0.319267	−	0.0600553i
$779$	−12.7456			−0.456659
$780$	−20.7042	+	59.3620i	−0.741328	+	2.12550i
$781$	31.9942			1.14484
$782$	−9.55728	+	27.2198i	−0.341768	+	0.973378i
$783$	−0.389335	+	13.9266i	−0.0139137	+	0.497696i
$784$	−7.84263	−	26.8792i	−0.280094	−	0.959973i
$785$	24.8697	−	14.3585i	0.887639	−	0.512478i
$786$	12.7413	−	0.0265239i	0.454469	−	0.000946074i
$787$	33.7450	−	19.4827i	1.20288	−	0.694482i	0.241684	−	0.970355i	$-0.422300\pi$
$787$	33.7450	−	19.4827i	1.20288	−	0.694482i	0.961194	+	0.275873i	$0.0889669\pi$
$788$	−8.14692	−	20.8892i	−0.290222	−	0.744146i
$789$	5.65443	−	30.4085i	0.201303	−	1.08257i
$790$	−47.4674	−	16.6665i	−1.68881	−	0.592968i
$791$	−37.3868	+	1.19243i	−1.32932	+	0.0423978i
$792$	−5.67194	−	29.4772i	−0.201544	−	1.04743i
$793$	−17.9120	−	31.0245i	−0.636074	−	1.10171i
$794$	−24.7768	+	21.2762i	−0.879297	+	0.755062i
$795$	8.56501	+	7.32395i	0.303770	+	0.259754i
$796$	−35.8661	−	5.48436i	−1.27124	−	0.194388i
$797$	−26.8665	−	15.5114i	−0.951662	−	0.549442i	−0.0580649	−	0.998313i	$-0.518493\pi$
$797$	−26.8665	−	15.5114i	−0.951662	−	0.549442i	−0.893597	+	0.448871i	$0.851826\pi$
$798$	6.41633	−	12.0400i	0.227136	−	0.426211i
$799$	−6.56725	+	3.79161i	−0.232333	+	0.134137i
$800$	14.7478	+	11.0066i	0.521413	+	0.389141i
$801$	25.0642	−	3.93949i	0.885600	−	0.139195i
$802$	45.6401	−	8.58507i	1.61161	−	0.303149i
$803$	20.7374	−	35.9183i	0.731807	−	1.26753i
$804$	−16.6188	−	19.2718i	−0.586099	−	0.679665i
$805$	−22.0131	−	35.4665i	−0.775861	−	1.25003i
$806$	2.25432	−	0.424046i	0.0794052	−	0.0149364i
$807$	−10.7263	+	12.5438i	−0.377582	+	0.441564i
$808$	−36.1939	+	22.5806i	−1.27330	+	0.794384i
$809$	5.35787	+	3.09337i	0.188373	+	0.108757i	0.591221	−	0.806510i	$-0.298646\pi$
$809$	5.35787	+	3.09337i	0.188373	+	0.108757i	−0.402848	+	0.915267i	$0.631980\pi$
$810$	−31.1828	−	19.0954i	−1.09565	−	0.670944i
$811$			6.48257i			0.227634i	0.993502	+	0.113817i	$0.0363077\pi$
$811$			6.48257i			0.227634i	−0.993502	+	0.113817i	$0.963692\pi$
$812$	−1.69637	+	14.0859i	−0.0595311	+	0.494319i
$813$	−0.671490	−	1.89979i	−0.0235502	−	0.0666285i
$814$	−5.47265	+	4.69943i	−0.191816	+	0.164715i
$815$	−18.1162	−	31.3782i	−0.634584	−	1.09913i
$816$	0.933326	+	25.7173i	0.0326729	+	0.900287i
$817$	−5.83194	+	10.1012i	−0.204034	+	0.353397i
$818$	7.84081	−	6.73299i	0.274148	−	0.235414i
$819$	16.5240	−	47.3418i	0.577394	−	1.65426i
$820$	−5.25821	+	34.3871i	−0.183625	+	1.20085i
$821$	−22.9617	−	13.2569i	−0.801369	−	0.462670i	0.0425809	−	0.999093i	$-0.486442\pi$
$821$	−22.9617	−	13.2569i	−0.801369	−	0.462670i	−0.843949	+	0.536423i	$0.819775\pi$
$822$	0.0667985	+	32.0882i	0.00232987	+	1.11920i
$823$	22.3440	−	12.9003i	0.778862	−	0.449676i	−0.0571645	−	0.998365i	$-0.518206\pi$
$823$	22.3440	−	12.9003i	0.778862	−	0.449676i	0.836027	+	0.548688i	$0.184873\pi$
$824$	−3.46062	+	2.15901i	−0.120556	+	0.0752126i
$825$	−3.64404	+	19.5970i	−0.126869	+	0.682280i
$826$	−8.00693	+	25.3636i	−0.278597	+	0.882514i
$827$	−40.3698			−1.40379			−0.701897	−	0.712278i	$-0.747663\pi$
$827$	−40.3698			−1.40379			−0.701897	+	0.712278i	$0.747663\pi$
$828$	32.9512	−	0.137190i	1.14513	−	0.00476770i
$829$	−13.9633	+	24.1851i	−0.484965	+	0.839984i	−0.999851	−	0.0172749i	$-0.994501\pi$
$829$	−13.9633	+	24.1851i	−0.484965	+	0.839984i	0.514886	+	0.857259i	$0.327834\pi$
$830$	29.0913	+	33.8779i	1.00978	+	1.17592i
$831$	−7.51729	+	40.4266i	−0.260772	+	1.40238i
$832$	−28.2014	−	41.9390i	−0.977707	−	1.45397i
$833$	−21.6433	+	14.4090i	−0.749895	+	0.499241i
$834$	−9.51902	−	5.46942i	−0.329617	−	0.189391i
$835$	22.2967	+	12.8730i	0.771609	+	0.445489i
$836$	9.31151	−	11.6252i	0.322045	−	0.402066i
$837$	−0.0372825	+	1.33360i	−0.00128867	+	0.0460961i
$838$	11.7340	+	4.11998i	0.405344	+	0.142322i
$839$	−6.10301	−	10.5707i	−0.210699	−	0.364942i	0.741234	−	0.671246i	$-0.234241\pi$
$839$	−6.10301	−	10.5707i	−0.210699	−	0.364942i	−0.951934	+	0.306305i	$0.900907\pi$
$840$	−29.8363	−	22.2781i	−1.02945	−	0.768666i
$841$	−10.9055	+	18.8889i	−0.376053	+	0.651342i
$842$	40.0370	−	34.3802i	1.37977	−	1.18482i
$843$	−4.06035	−	11.4876i	−0.139846	−	0.395654i
$844$	3.63145	+	0.555294i	0.125000	+	0.0191140i
$845$	−66.9488	+	38.6529i	−2.30311	+	1.32970i
$846$	6.59472	+	5.61543i	0.226731	+	0.193062i
$847$	3.40559	−	2.11376i	0.117018	−	0.0726297i
$848$	−8.84066	+	1.97810i	−0.303589	+	0.0679283i
$849$	10.9888	+	31.0897i	0.377135	+	1.06699i
$850$	5.66117	−	16.1234i	0.194177	−	0.553028i
$851$	−3.95921	−	6.85756i	−0.135720	−	0.235074i
$852$	5.85561	+	30.7769i	0.200610	+	1.05440i
$853$	−4.47707	−	7.75452i	−0.153292	−	0.265510i	0.779144	−	0.626845i	$-0.215654\pi$
$853$	−4.47707	−	7.75452i	−0.153292	−	0.265510i	−0.932436	+	0.361336i	$0.882321\pi$
$854$	20.7165	−	4.58509i	0.708904	−	0.156899i
$855$	−2.81709	−	17.9232i	−0.0963423	−	0.612959i
$856$	4.85991	−	9.12448i	0.166108	−	0.311868i
$857$			16.2364i			0.554626i	0.960780	+	0.277313i	$0.0894439\pi$
$857$			16.2364i			0.554626i	−0.960780	+	0.277313i	$0.910556\pi$
$858$	27.2727	−	47.4657i	0.931075	−	1.62045i
$859$		−	33.8234i		−	1.15404i	−0.816731	−	0.577019i	$-0.804216\pi$
$859$		−	33.8234i		−	1.15404i	0.816731	−	0.577019i	$-0.195784\pi$
$860$	24.8467	+	19.9016i	0.847264	+	0.678638i
$861$	4.20009	−	27.4253i	0.143139	−	0.934653i
$862$	29.9038	+	10.4997i	1.01853	+	0.357620i
$863$	10.1074	+	17.5066i	0.344062	+	0.595932i	0.985183	−	0.171507i	$-0.0548638\pi$
$863$	10.1074	+	17.5066i	0.344062	+	0.595932i	−0.641121	+	0.767440i	$0.721530\pi$
$864$	27.3176	−	10.8511i	0.929365	−	0.369162i
$865$	−9.05560	+	15.6848i	−0.307900	+	0.533298i
$866$	10.7316	+	57.0514i	0.364674	+	1.93869i
$867$	−5.23077	+	1.84884i	−0.177646	+	0.0627899i
$868$	−0.162444	+	1.34886i	−0.00551371	+	0.0457833i
$869$	37.9370	+	21.9029i	1.28692	+	0.743005i
$870$	9.46779	+	16.3201i	0.320988	+	0.553305i
$871$		−	46.4083i		−	1.57249i
$872$	−41.1804	+	1.40867i	−1.39454	+	0.0477037i
$873$	−4.61703	−	29.3750i	−0.156263	−	0.994191i
$874$	10.6518	+	12.4044i	0.360302	+	0.419584i
$875$	−7.00214	−	11.2815i	−0.236716	−	0.381385i
$876$	38.3471	+	13.3746i	1.29563	+	0.451887i
$877$	−22.3432			−0.754475			−0.377237	−	0.926117i	$-0.623126\pi$
$877$	−22.3432			−0.754475			−0.377237	+	0.926117i	$0.623126\pi$
$878$	18.2845	−	52.0757i	0.617074	−	1.75747i
$879$	−17.0409	+	19.9285i	−0.574776	+	0.672173i
$880$	−27.5228	−	29.9180i	−0.927794	−	1.00854i
$881$		−	50.5729i		−	1.70384i	−0.523669	−	0.851922i	$-0.675437\pi$
$881$		−	50.5729i		−	1.70384i	0.523669	−	0.851922i	$-0.324563\pi$
$882$	23.7926	+	17.7739i	0.801140	+	0.598477i
$883$		−	48.7254i		−	1.63974i	−0.572549	−	0.819870i	$-0.694046\pi$
$883$		−	48.7254i		−	1.63974i	0.572549	−	0.819870i	$-0.305954\pi$
$884$	−29.3393	+	36.6294i	−0.986787	+	1.23198i
$885$	11.7874	+	33.3489i	0.396228	+	1.12101i
$886$	19.5111	+	6.85066i	0.655490	+	0.230152i
$887$	−28.4596			−0.955581			−0.477791	−	0.878474i	$-0.658562\pi$
$887$	−28.4596			−0.955581			−0.477791	+	0.878474i	$0.658562\pi$
$888$	−5.52224	−	4.40434i	−0.185314	−	0.147800i
$889$	23.6461	+	38.0975i	0.793066	+	1.27775i
$890$	26.0680	−	22.3848i	0.873800	−	0.750342i
$891$	23.6106	+	21.3601i	0.790984	+	0.715590i
$892$	−5.83254	+	7.28179i	−0.195288	+	0.243812i
$893$			4.29780i			0.143821i
$894$	−0.0430617	−	20.6857i	−0.00144020	−	0.691833i
$895$	35.8009	+	20.6697i	1.19669	+	0.690911i
$896$	28.7157	−	8.45050i	0.959323	−	0.282311i
$897$	45.6718	+	39.0540i	1.52494	+	1.30397i
$898$	6.80448	−	1.27995i	0.227068	−	0.0427124i
$899$	0.344205	−	0.596181i	0.0114799	−	0.0198837i
$900$	−19.5183	+	0.0812636i	−0.650611	+	0.00270879i
$901$	4.20624	+	7.28541i	0.140130	+	0.242712i
$902$	10.0349	−	28.5800i	0.334124	−	0.951609i
$903$	−19.8134	−	15.8775i	−0.659350	−	0.528371i
$904$	−1.36710	−	39.9651i	−0.0454692	−	1.32922i
$905$		−	68.4610i		−	2.27572i
$906$	−0.0320839	−	15.4123i	−0.00106592	−	0.512038i
$907$		−	16.6344i		−	0.552337i	−0.961109	−	0.276168i	$-0.910935\pi$
$907$		−	16.6344i		−	0.552337i	0.961109	−	0.276168i	$-0.0890647\pi$
$908$	−24.6240	+	9.60352i	−0.817176	+	0.318704i
$909$	16.2652	−	42.2234i	0.539483	−	1.40046i
$910$	−14.6743	−	66.3017i	−0.486448	−	2.19788i
$911$	20.7017	+	35.8564i	0.685877	+	1.18797i	0.973160	+	0.230129i	$0.0739147\pi$
$911$	20.7017	+	35.8564i	0.685877	+	1.18797i	−0.287283	+	0.957846i	$0.592752\pi$
$912$	12.8871	+	6.82958i	0.426735	+	0.226150i
$913$	−19.4414	−	33.6734i	−0.643415	−	1.11443i
$914$	−38.7166	−	13.5940i	−1.28063	−	0.449649i
$915$	18.3379	−	21.4453i	0.606232	−	0.708960i
$916$	28.3143	−	11.0428i	0.935530	−	0.364863i
$917$	−11.6930	+	7.25757i	−0.386138	+	0.239666i
$918$	−17.1966	−	21.1969i	−0.567573	−	0.699603i
$919$	32.1594	−	18.5672i	1.06084	−	0.612476i	0.135175	−	0.990822i	$-0.456840\pi$
$919$	32.1594	−	18.5672i	1.06084	−	0.612476i	0.925664	+	0.378346i	$0.123507\pi$
$920$	37.8608	−	23.6206i	1.24823	−	0.778747i
$921$	−25.2854	−	4.70179i	−0.833181	−	0.154929i
$922$	7.02186	+	8.17720i	0.231253	+	0.269302i
$923$	−28.5669	+	49.4794i	−0.940292	+	1.62863i
$924$	21.9461	+	23.8669i	0.721972	+	0.785163i
$925$	2.34521	+	4.06202i	0.0771099	+	0.133558i
$926$	6.19065	−	17.6314i	0.203437	−	0.579404i
$927$	1.55517	−	4.03712i	0.0510785	−	0.132596i
$928$	−15.0626	−	1.77870i	−0.494455	−	0.0583888i
$929$	29.0451	+	16.7692i	0.952939	+	0.550180i	0.893993	−	0.448081i	$-0.147893\pi$
$929$	29.0451	+	16.7692i	0.952939	+	0.550180i	0.0589466	+	0.998261i	$0.481226\pi$
$930$	0.906630	+	1.56281i	0.0297296	+	0.0512465i
$931$	0.939041	+	14.7062i	0.0307758	+	0.481975i
$932$	8.02813	−	10.0229i	0.262970	−	0.328312i
$933$	−10.5517	+	3.72956i	−0.345447	+	0.122100i
$934$	10.1187	−	8.68907i	0.331095	−	0.284315i
$935$	−18.8749	+	32.6923i	−0.617275	+	1.06915i
$936$	50.6512	+	17.5479i	1.65559	+	0.573570i
$937$	20.2579			0.661796			0.330898	−	0.943666i	$-0.392648\pi$
$937$	20.2579			0.661796			0.330898	+	0.943666i	$0.392648\pi$
$938$	26.2116	+	8.27463i	0.855840	+	0.270176i
$939$	−16.1003	−	13.7674i	−0.525413	−	0.449281i
$940$	11.5953	+	1.77306i	0.378196	+	0.0578308i
$941$	−6.81838	+	3.93660i	−0.222273	+	0.128329i	−0.607002	−	0.794700i	$-0.707628\pi$
$941$	−6.81838	+	3.93660i	−0.222273	+	0.128329i	0.384729	+	0.923029i	$0.374295\pi$
$942$	−12.2868	−	21.1795i	−0.400327	−	0.690065i
$943$	28.7959	+	16.6253i	0.937723	+	0.541394i
$944$	−27.1346	−	8.49710i	−0.883155	−	0.276557i
$945$	39.4944	−	0.155395i	1.28475	−	0.00505500i
$946$	−18.0588	−	21.0301i	−0.587141	−	0.683747i
$947$	17.7016	−	30.6601i	0.575225	−	0.996319i	−0.420792	−	0.907157i	$-0.638248\pi$
$947$	17.7016	−	30.6601i	0.575225	−	0.996319i	0.996017	−	0.0891620i	$-0.0284189\pi$
$948$	−14.1263	+	40.5023i	−0.458802	+	1.31545i
$949$	37.0320	+	64.1413i	1.20211	+	2.08211i
$950$	−6.30948	−	7.34762i	−0.204707	−	0.238388i
$951$	−22.5466	+	26.3671i	−0.731123	+	0.855013i
$952$	−15.4572	−	23.1020i	−0.500972	−	0.748739i
$953$		−	23.9458i		−	0.775681i	−0.921727	−	0.387840i	$-0.873221\pi$
$953$		−	23.9458i		−	0.775681i	0.921727	−	0.387840i	$-0.126779\pi$
$954$	6.22950	−	7.31589i	0.201688	−	0.236861i
$955$	−13.6811	−	7.89878i	−0.442710	−	0.255599i
$956$	−3.33412	+	21.8041i	−0.107833	+	0.705196i
$957$	−5.47495	−	15.4898i	−0.176980	−	0.500714i
$958$	−1.03011	−	5.47630i	−0.0332814	−	0.176931i
$959$	−18.2777	−	29.4481i	−0.590217	−	0.950930i
$960$	23.7425	−	31.9513i	0.766286	−	1.03122i
$961$	−15.4670	+	26.7897i	−0.498937	+	0.864184i
$962$	−2.38130	−	12.6595i	−0.0767763	−	0.408160i
$963$	1.70255	+	10.8322i	0.0548640	+	0.349061i
$964$	7.67744	−	2.99425i	0.247274	−	0.0964384i
$965$	29.9650	−	17.3003i	0.964609	−	0.556917i
$966$	−30.2012	+	18.8323i	−0.971706	+	0.605918i
$967$	2.20834	+	1.27499i	0.0710154	+	0.0410008i	0.535087	−	0.844797i	$-0.320279\pi$
$967$	2.20834	+	1.27499i	0.0710154	+	0.0410008i	−0.464072	+	0.885798i	$0.653612\pi$
$968$	2.26811	+	3.63550i	0.0728999	+	0.116849i
$969$	2.47599	−	13.3154i	0.0795402	−	0.427753i
$970$	−26.2348	−	30.5513i	−0.842348	−	0.980944i
$971$	18.4002	+	31.8700i	0.590489	+	1.02276i	0.994167	+	0.107856i	$0.0343985\pi$
$971$	18.4002	+	31.8700i	0.590489	+	1.02276i	−0.403677	+	0.914901i	$0.632268\pi$
$972$	−16.2262	+	26.6216i	−0.520455	+	0.853889i
$973$	11.8521	−	0.378013i	0.379959	−	0.0121185i
$974$	−16.0939	+	45.8365i	−0.515681	+	1.46870i
$975$	−27.0533	−	23.1333i	−0.866398	−	0.740858i
$976$	4.95283	+	22.1355i	0.158536	+	0.708539i
$977$	−13.2746	+	7.66408i	−0.424691	+	0.245196i	−0.697082	−	0.716991i	$-0.745519\pi$
$977$	−13.2746	+	7.66408i	−0.424691	+	0.245196i	0.272391	+	0.962187i	$0.412185\pi$
$978$	−26.7222	+	15.5023i	−0.854483	+	0.495710i
$979$	−25.9106	+	14.9595i	−0.828107	+	0.478108i
$980$	40.0639	+	3.53354i	1.27980	+	0.112875i
$981$	33.9967	−	27.4637i	1.08543	−	0.876848i
$982$	41.1927	+	14.4634i	1.31451	+	0.461545i
$983$	8.73571			0.278626			0.139313	−	0.990248i	$-0.455511\pi$
$983$	8.73571			0.278626			0.139313	+	0.990248i	$0.455511\pi$
$984$	29.3292	+	4.42233i	0.934981	+	0.140979i
$985$	32.2066			1.02619
$986$	2.60367	+	13.8417i	0.0829177	+	0.440809i
$987$	−9.24778	−	1.41626i	−0.294360	−	0.0450802i
$988$	9.66447	+	24.7803i	0.307468	+	0.788365i
$989$	26.3519	−	15.2143i	0.837943	−	0.483787i
$990$	42.4077	+	7.79438i	1.34781	+	0.247722i
$991$	−14.8582	−	8.57839i	−0.471986	−	0.272501i	0.245084	−	0.969502i	$-0.421184\pi$
$991$	−14.8582	−	8.57839i	−0.471986	−	0.272501i	−0.717071	+	0.697000i	$0.754518\pi$
$992$	−1.44239	−	0.170328i	−0.0457959	−	0.00540791i
$993$	−30.9731	+	36.2215i	−0.982900	+	1.14946i
$994$	−22.8527	−	24.9569i	−0.724842	−	0.791585i
$995$	26.0586	−	45.1348i	0.826113	−	1.43087i
$996$	28.8341	−	24.8646i	0.913643	−	0.787866i
$997$	16.8766			0.534487			0.267243	−	0.963629i	$-0.413887\pi$
$997$	16.8766			0.534487			0.267243	+	0.963629i	$0.413887\pi$
$998$	7.12635	−	1.34049i	0.225581	−	0.0424325i
$999$	7.48907	+	0.209366i	0.236944	+	0.00662405i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.19	yes	88
3.2	odd	2		756.2.o.a.179.26		88
4.3	odd	2	inner	252.2.o.a.95.4	✓	88
7.2	even	3		252.2.bb.a.23.11	yes	88
9.2	odd	6		252.2.bb.a.11.34	yes	88
9.7	even	3		756.2.bb.a.683.11		88
12.11	even	2		756.2.o.a.179.41		88
21.2	odd	6		756.2.bb.a.611.34		88
28.23	odd	6		252.2.bb.a.23.34	yes	88
36.7	odd	6		756.2.bb.a.683.34		88
36.11	even	6		252.2.bb.a.11.11	yes	88
63.2	odd	6	inner	252.2.o.a.191.4	yes	88
63.16	even	3		756.2.o.a.359.41		88
84.23	even	6		756.2.bb.a.611.11		88
252.79	odd	6		756.2.o.a.359.26		88
252.191	even	6	inner	252.2.o.a.191.19	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.4	✓	88	4.3	odd	2	inner
252.2.o.a.95.19	yes	88	1.1	even	1	trivial
252.2.o.a.191.4	yes	88	63.2	odd	6	inner
252.2.o.a.191.19	yes	88	252.191	even	6	inner
252.2.bb.a.11.11	yes	88	36.11	even	6
252.2.bb.a.11.34	yes	88	9.2	odd	6
252.2.bb.a.23.11	yes	88	7.2	even	3
252.2.bb.a.23.34	yes	88	28.23	odd	6
756.2.o.a.179.26		88	3.2	odd	2
756.2.o.a.179.41		88	12.11	even	2
756.2.o.a.359.26		88	252.79	odd	6
756.2.o.a.359.41		88	63.16	even	3
756.2.bb.a.611.11		88	84.23	even	6
756.2.bb.a.611.34		88	21.2	odd	6
756.2.bb.a.683.11		88	9.7	even	3
756.2.bb.a.683.34		88	36.7	odd	6

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.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.261434 - 1.38984i) q^{2} +(0.316645 - 1.70286i) q^{3} +(-1.86330 + 0.726701i) q^{4} -2.87282i q^{5} +(-2.44948 + 0.00509913i) q^{6} +(2.24795 - 1.39525i) q^{7} +(1.49713 + 2.39971i) q^{8} +(-2.79947 - 1.07841i) q^{9} +O(q^{10})\)	\(q+(-0.261434 - 1.38984i) q^{2} +(0.316645 - 1.70286i) q^{3} +(-1.86330 + 0.726701i) q^{4} -2.87282i q^{5} +(-2.44948 + 0.00509913i) q^{6} +(2.24795 - 1.39525i) q^{7} +(1.49713 + 2.39971i) q^{8} +(-2.79947 - 1.07841i) q^{9} +(-3.99275 + 0.751051i) q^{10} +3.53765 q^{11} +(0.647465 + 3.40306i) q^{12} +(-3.15869 + 5.47102i) q^{13} +(-2.52686 - 2.75953i) q^{14} +(-4.89201 - 0.909664i) q^{15} +(2.94381 - 2.70813i) q^{16} +(-3.21678 - 1.85721i) q^{17} +(-0.766935 + 4.17275i) q^{18} +(-1.82312 + 1.05258i) q^{19} +(2.08768 + 5.35294i) q^{20} +(-1.66411 - 4.26975i) q^{21} +(-0.924861 - 4.91677i) q^{22} +5.49191 q^{23} +(4.56043 - 1.78955i) q^{24} -3.25308 q^{25} +(8.42962 + 2.95977i) q^{26} +(-2.72282 + 4.42564i) q^{27} +(-3.17469 + 4.23336i) q^{28} +(2.32201 - 1.34061i) q^{29} +(0.0146489 + 7.03692i) q^{30} +(0.222354 - 0.128376i) q^{31} +(-4.53348 - 3.38343i) q^{32} +(1.12018 - 6.02413i) q^{33} +(-1.74025 + 4.95635i) q^{34} +(-4.00829 - 6.45796i) q^{35} +(5.99995 - 0.0249805i) q^{36} +(-0.720918 - 1.24867i) q^{37} +(1.93954 + 2.25866i) q^{38} +(8.31620 + 7.11119i) q^{39} +(6.89393 - 4.30098i) q^{40} +(5.24333 + 3.02724i) q^{41} +(-5.49921 + 3.42909i) q^{42} +(4.79832 - 2.77031i) q^{43} +(-6.59172 + 2.57082i) q^{44} +(-3.09806 + 8.04237i) q^{45} +(-1.43577 - 7.63287i) q^{46} +(1.02078 - 1.76804i) q^{47} +(-3.67943 - 5.87042i) q^{48} +(3.10658 - 6.27289i) q^{49} +(0.850465 + 4.52126i) q^{50} +(-4.18115 + 4.88966i) q^{51} +(1.90981 - 12.4896i) q^{52} +(-1.96139 - 1.13241i) q^{53} +(6.86276 + 2.62726i) q^{54} -10.1630i q^{55} +(6.71366 + 3.30557i) q^{56} +(1.21511 + 3.43781i) q^{57} +(-2.47028 - 2.87673i) q^{58} +(-3.55424 - 6.15612i) q^{59} +(9.77636 - 1.86005i) q^{60} +(-2.83535 + 4.91097i) q^{61} +(-0.236553 - 0.275474i) q^{62} +(-7.79772 + 1.48174i) q^{63} +(-3.51721 + 7.18535i) q^{64} +(15.7172 + 9.07435i) q^{65} +(-8.66542 + 0.0180389i) q^{66} +(-6.36193 + 3.67306i) q^{67} +(7.34348 + 1.12291i) q^{68} +(1.73899 - 9.35196i) q^{69} +(-7.92762 + 7.25920i) q^{70} +9.04391 q^{71} +(-1.60331 - 8.33243i) q^{72} +(5.86192 - 10.1531i) q^{73} +(-1.54697 + 1.32840i) q^{74} +(-1.03007 + 5.53955i) q^{75} +(2.63212 - 3.28614i) q^{76} +(7.95247 - 4.93589i) q^{77} +(7.70927 - 13.4173i) q^{78} +(10.7238 + 6.19137i) q^{79} +(-7.77997 - 8.45703i) q^{80} +(6.67408 + 6.03793i) q^{81} +(2.83659 - 8.07880i) q^{82} +(-5.49556 - 9.51858i) q^{83} +(6.20357 + 6.74654i) q^{84} +(-5.33543 + 9.24123i) q^{85} +(-5.10473 - 5.94464i) q^{86} +(-1.54762 - 4.37855i) q^{87} +(5.29632 + 8.48934i) q^{88} +(-7.32424 + 4.22865i) q^{89} +(11.9875 + 2.20326i) q^{90} +(0.532818 + 16.7057i) q^{91} +(-10.2331 + 3.99098i) q^{92} +(-0.148199 - 0.419288i) q^{93} +(-2.72416 - 0.956494i) q^{94} +(3.02387 + 5.23749i) q^{95} +(-7.19701 + 6.64854i) q^{96} +(4.95593 + 8.58392i) q^{97} +(-9.53047 - 2.67770i) q^{98} +(-9.90355 - 3.81502i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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