LMFDB - Embedded newform 252.2.bb.a.11.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("252.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.11
Character	$\chi$	$=$	252.11
Dual form			252.2.bb.a.23.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.07292 - 0.921328i) q^{2} +(1.31640 - 1.12565i) q^{3} +(0.302311 + 1.97702i) q^{4} +(-2.48793 - 1.43641i) q^{5} +(-2.44948 - 0.00509913i) q^{6} +(2.33229 + 1.24916i) q^{7} +(1.49713 - 2.39971i) q^{8} +(0.465809 - 2.96362i) q^{9} +O(q^{10})$	\(q+(-1.07292 - 0.921328i) q^{2} +(1.31640 - 1.12565i) q^{3} +(0.302311 + 1.97702i) q^{4} +(-2.48793 - 1.43641i) q^{5} +(-2.44948 - 0.00509913i) q^{6} +(2.33229 + 1.24916i) q^{7} +(1.49713 - 2.39971i) q^{8} +(0.465809 - 2.96362i) q^{9} +(1.34595 + 3.83335i) q^{10} +(-1.76883 - 3.06370i) q^{11} +(2.62340 + 2.26225i) q^{12} +(-3.15869 - 5.47102i) q^{13} +(-1.35148 - 3.48906i) q^{14} +(-4.89201 + 0.909664i) q^{15} +(-3.81722 + 1.19535i) q^{16} +(3.21678 + 1.85721i) q^{17} +(-3.23024 + 2.75056i) q^{18} +(1.82312 - 1.05258i) q^{19} +(2.08768 - 5.35294i) q^{20} +(4.47635 - 0.980961i) q^{21} +(-0.924861 + 4.91677i) q^{22} +(-2.74595 + 4.75613i) q^{23} +(-0.730424 - 4.84422i) q^{24} +(1.62654 + 2.81725i) q^{25} +(-1.65158 + 8.78015i) q^{26} +(-2.72282 - 4.42564i) q^{27} +(-1.76454 + 4.98863i) q^{28} +(2.32201 + 1.34061i) q^{29} +(6.08683 + 3.53115i) q^{30} -0.256752i q^{31} +(5.19687 + 2.23440i) q^{32} +(-5.77714 - 2.04196i) 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} +(-2.92583 - 0.550359i) q^{38} +(-10.3166 - 3.64644i) q^{39} +(-7.17172 + 3.81983i) q^{40} +(5.24333 - 3.02724i) q^{41} +(-5.70655 - 3.07169i) q^{42} +(4.79832 + 2.77031i) q^{43} +(5.52225 - 4.42319i) q^{44} +(-5.41587 + 6.70419i) q^{45} +(7.32814 - 2.57302i) q^{46} -2.04156 q^{47} +(-3.67943 + 5.87042i) q^{48} +(3.87919 + 5.82682i) q^{49} +(0.850465 - 4.52126i) q^{50} +(6.32514 - 1.17615i) q^{51} +(9.86141 - 7.89875i) q^{52} +(1.96139 + 1.13241i) q^{53} +(-1.15610 + 7.25696i) q^{54} +10.1630i q^{55} +(6.48937 - 3.72667i) q^{56} +(1.21511 - 3.43781i) q^{57} +(-1.25618 - 3.57770i) q^{58} +7.10847 q^{59} +(-3.27733 - 9.39660i) q^{60} +5.67070 q^{61} +(-0.236553 + 0.275474i) q^{62} +(4.78844 - 6.33015i) q^{63} +(-3.51721 - 7.18535i) q^{64} +18.1487i q^{65} +(4.31709 + 7.51349i) q^{66} +7.34613i q^{67} +(-2.69927 + 6.92110i) q^{68} +(1.73899 + 9.35196i) q^{69} +(-1.64933 + 10.6218i) q^{70} +9.04391 q^{71} +(-6.41444 - 5.55472i) q^{72} +(5.86192 - 10.1531i) q^{73} +(-0.376944 + 2.00392i) q^{74} +(5.31243 + 1.87770i) q^{75} +(2.63212 + 3.28614i) q^{76} +(-0.298371 - 9.35499i) q^{77} +(7.70927 + 13.4173i) q^{78} +12.3827i q^{79} +(11.2140 + 2.50914i) q^{80} +(-8.56604 - 2.76096i) q^{81} +(-8.41474 - 1.58284i) q^{82} +(-5.49556 + 9.51858i) q^{83} +(3.29263 + 8.55328i) q^{84} +(-5.33543 - 9.24123i) q^{85} +(-2.59585 - 7.39315i) q^{86} +(4.56575 - 0.848997i) q^{87} +(-10.0001 - 0.342079i) 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} +(-0.289014 - 0.337988i) q^{93} +(2.19043 + 1.88095i) q^{94} -6.04773 q^{95} +(9.35631 - 2.90852i) q^{96} +(4.95593 - 8.58392i) q^{97} +(1.20636 - 9.82572i) q^{98} +(-9.90355 + 3.81502i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−1.07292	−	0.921328i	−0.758668	−	0.651477i
$2$	−1.07292	−	0.921328i	−0.758668	−	0.651477i
$3$	1.31640	−	1.12565i	0.760023	−	0.649896i
$3$	1.31640	−	1.12565i	0.760023	−	0.649896i
$4$	0.302311	+	1.97702i	0.151155	+	0.988510i
$5$	−2.48793	−	1.43641i	−1.11264	−	0.642382i	−0.173126	−	0.984900i	$-0.555387\pi$
$5$	−2.48793	−	1.43641i	−1.11264	−	0.642382i	−0.939511	+	0.342518i	$0.888720\pi$
$6$	−2.44948	−	0.00509913i	−0.999998	−	0.00208171i
$7$	2.33229	+	1.24916i	0.881524	+	0.472139i
$7$	2.33229	+	1.24916i	0.881524	+	0.472139i
$8$	1.49713	−	2.39971i	0.529315	−	0.848425i
$9$	0.465809	−	2.96362i	0.155270	−	0.987872i
$10$	1.34595	+	3.83335i	0.425626	+	1.21221i
$11$	−1.76883	−	3.06370i	−0.533321	−	0.923739i	−0.999243	−	0.0389130i	$-0.987610\pi$
$11$	−1.76883	−	3.06370i	−0.533321	−	0.923739i	0.465922	−	0.884826i	$-0.345723\pi$
$12$	2.62340	+	2.26225i	0.757311	+	0.653055i
$13$	−3.15869	−	5.47102i	−0.876064	−	1.51739i	−0.855625	−	0.517596i	$-0.826827\pi$
$13$	−3.15869	−	5.47102i	−0.876064	−	1.51739i	−0.0204391	−	0.999791i	$-0.506506\pi$
$14$	−1.35148	−	3.48906i	−0.361197	−	0.932489i
$15$	−4.89201	+	0.909664i	−1.26311	+	0.234874i
$16$	−3.81722	+	1.19535i	−0.954304	+	0.298837i
$17$	3.21678	+	1.85721i	0.780184	+	0.450440i	0.836496	−	0.547974i	$-0.184601\pi$
$17$	3.21678	+	1.85721i	0.780184	+	0.450440i	−0.0563112	+	0.998413i	$0.517934\pi$
$18$	−3.23024	+	2.75056i	−0.761374	+	0.648313i
$19$	1.82312	−	1.05258i	0.418252	−	0.241478i	−0.276077	−	0.961136i	$-0.589034\pi$
$19$	1.82312	−	1.05258i	0.418252	−	0.241478i	0.694329	+	0.719657i	$0.255701\pi$
$20$	2.08768	−	5.35294i	0.466820	−	1.19695i
$21$	4.47635	−	0.980961i	0.976820	−	0.214063i
$22$	−0.924861	+	4.91677i	−0.197181	+	1.04826i
$23$	−2.74595	+	4.75613i	−0.572571	+	0.991722i	0.423730	+	0.905789i	$0.360721\pi$
$23$	−2.74595	+	4.75613i	−0.572571	+	0.991722i	−0.996301	+	0.0859334i	$0.972613\pi$
$24$	−0.730424	−	4.84422i	−0.149097	−	0.988823i
$25$	1.62654	+	2.81725i	0.325308	+	0.563450i
$26$	−1.65158	+	8.78015i	−0.323901	+	1.72193i
$27$	−2.72282	−	4.42564i	−0.524006	−	0.851715i
$28$	−1.76454	+	4.98863i	−0.333467	+	0.942762i
$29$	2.32201	+	1.34061i	0.431186	+	0.248945i	0.699852	−	0.714288i	$-0.253249\pi$
$29$	2.32201	+	1.34061i	0.431186	+	0.248945i	−0.268666	+	0.963233i	$0.586583\pi$
$30$	6.08683	+	3.53115i	1.11130	+	0.644696i
$31$		−	0.256752i		−	0.0461141i	−0.999734	−	0.0230570i	$-0.992660\pi$
$31$		−	0.256752i		−	0.0461141i	0.999734	−	0.0230570i	$-0.00733993\pi$
$32$	5.19687	+	2.23440i	0.918686	+	0.394989i
$33$	−5.77714	−	2.04196i	−1.00567	−	0.355459i
$34$	−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	$0.871148\pi$
$38$	−2.92583	−	0.550359i	−0.474632	−	0.0892800i
$39$	−10.3166	−	3.64644i	−1.65197	−	0.583898i
$40$	−7.17172	+	3.81983i	−1.13395	+	0.603968i
$41$	5.24333	−	3.02724i	0.818870	−	0.472775i	−0.0311565	−	0.999515i	$-0.509919\pi$
$41$	5.24333	−	3.02724i	0.818870	−	0.472775i	0.850027	+	0.526740i	$0.176586\pi$
$42$	−5.70655	−	3.07169i	−0.880540	−	0.473973i
$43$	4.79832	+	2.77031i	0.731737	+	0.422469i	0.819057	−	0.573712i	$-0.194497\pi$
$43$	4.79832	+	2.77031i	0.731737	+	0.422469i	−0.0873202	+	0.996180i	$0.527830\pi$
$44$	5.52225	−	4.42319i	0.832511	−	0.666821i
$45$	−5.41587	+	6.70419i	−0.807350	+	0.999401i
$46$	7.32814	−	2.57302i	1.08048	−	0.379371i
$47$	−2.04156			−0.297792			−0.148896	−	0.988853i	$-0.547572\pi$
$47$	−2.04156			−0.297792			−0.148896	+	0.988853i	$0.547572\pi$
$48$	−3.67943	+	5.87042i	−0.531080	+	0.847322i
$49$	3.87919	+	5.82682i	0.554170	+	0.832403i
$50$	0.850465	−	4.52126i	0.120274	−	0.639403i
$51$	6.32514	−	1.17615i	0.885697	−	0.164695i
$52$	9.86141	−	7.89875i	1.36753	−	1.09536i
$53$	1.96139	+	1.13241i	0.269417	+	0.155548i	0.628623	−	0.777710i	$-0.283619\pi$
$53$	1.96139	+	1.13241i	0.269417	+	0.155548i	−0.359206	+	0.933258i	$0.616952\pi$
$54$	−1.15610	+	7.25696i	−0.157326	+	0.987547i
$55$			10.1630i			1.37038i
$56$	6.48937	−	3.72667i	0.867178	−	0.497998i
$57$	1.21511	−	3.43781i	0.160946	−	0.455350i
$58$	−1.25618	−	3.57770i	−0.164945	−	0.469775i
$59$	7.10847			0.925444			0.462722	−	0.886503i	$-0.346873\pi$
$59$	7.10847			0.925444			0.462722	+	0.886503i	$0.346873\pi$
$60$	−3.27733	−	9.39660i	−0.423102	−	1.21310i
$61$	5.67070			0.726059			0.363029	−	0.931778i	$-0.381742\pi$
$61$	5.67070			0.726059			0.363029	+	0.931778i	$0.381742\pi$
$62$	−0.236553	+	0.275474i	−0.0300423	+	0.0349853i
$63$	4.78844	−	6.33015i	0.603286	−	0.797525i
$64$	−3.51721	−	7.18535i	−0.439652	−	0.898168i
$65$			18.1487i			2.25107i
$66$	4.31709	+	7.51349i	0.531397	+	0.924847i
$67$			7.34613i			0.897472i	0.893664	+	0.448736i	$0.148126\pi$
$67$			7.34613i			0.897472i	−0.893664	+	0.448736i	$0.851874\pi$
$68$	−2.69927	+	6.92110i	−0.327335	+	0.839306i
$69$	1.73899	+	9.35196i	0.209349	+	1.12584i
$70$	−1.64933	+	10.6218i	−0.197133	+	1.26955i
$71$	9.04391			1.07331			0.536657	−	0.843800i	$-0.319687\pi$
$71$	9.04391			1.07331			0.536657	+	0.843800i	$0.319687\pi$
$72$	−6.41444	−	5.55472i	−0.755949	−	0.654630i
$73$	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	$-0.0740057\pi$
$74$	−0.376944	+	2.00392i	−0.0438189	+	0.232951i
$75$	5.31243	+	1.87770i	0.613426	+	0.216819i
$76$	2.63212	+	3.28614i	0.301925	+	0.376946i
$77$	−0.298371	−	9.35499i	−0.0340025	−	1.06610i
$78$	7.70927	+	13.4173i	0.872903	+	1.51921i
$79$			12.3827i			1.39317i	0.717476	+	0.696584i	$0.245298\pi$
$79$			12.3827i			1.39317i	−0.717476	+	0.696584i	$0.754702\pi$
$80$	11.2140	+	2.50914i	1.25376	+	0.280530i
$81$	−8.56604	−	2.76096i	−0.951783	−	0.306773i
$82$	−8.41474	−	1.58284i	−0.929253	−	0.174796i
$83$	−5.49556	+	9.51858i	−0.603216	+	1.04480i	0.389115	+	0.921189i	$0.372781\pi$
$83$	−5.49556	+	9.51858i	−0.603216	+	1.04480i	−0.992331	+	0.123611i	$0.960553\pi$
$84$	3.29263	+	8.55328i	0.359255	+	0.933239i
$85$	−5.33543	−	9.24123i	−0.578708	−	1.00235i
$86$	−2.59585	−	7.39315i	−0.279917	−	0.797224i
$87$	4.56575	−	0.848997i	0.489500	−	0.0910220i
$88$	−10.0001	−	0.342079i	−1.06602	−	0.0364657i
$89$	7.32424	−	4.22865i	0.776368	−	0.448236i	−0.0587737	−	0.998271i	$-0.518719\pi$
$89$	7.32424	−	4.22865i	0.776368	−	0.448236i	0.835142	+	0.550035i	$0.185386\pi$
$90$	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
$93$	−0.289014	−	0.337988i	−0.0299694	−	0.0350478i
$94$	2.19043	+	1.88095i	0.225925	+	0.194005i
$95$	−6.04773			−0.620484
$96$	9.35631	−	2.90852i	0.954924	−	0.296850i
$97$	4.95593	−	8.58392i	0.503198	−	0.871565i	−0.496795	−	0.867868i	$-0.665490\pi$
$97$	4.95593	−	8.58392i	0.503198	−	0.871565i	0.999993	−	0.00369720i	$-0.00117686\pi$
$98$	1.20636	−	9.82572i	0.121860	−	0.992547i
$99$	−9.90355	+	3.81502i	−0.995345	+	0.383424i
$100$	−5.07804	+	4.06739i	−0.507804	+	0.406739i
$101$	−13.0619	+	7.54132i	−1.29971	+	0.750389i	−0.980354	−	0.197245i	$-0.936800\pi$
$101$	−13.0619	+	7.54132i	−1.29971	+	0.750389i	−0.319358	+	0.947634i	$0.603467\pi$
$102$	−7.86999	−	4.56561i	−0.779245	−	0.452063i
$103$	1.24890	+	0.721050i	0.123057	+	0.0710472i	0.560265	−	0.828313i	$-0.310699\pi$
$103$	1.24890	+	0.721050i	0.123057	+	0.0710472i	−0.437208	+	0.899361i	$0.644033\pi$
$104$	−17.8578	−	0.610870i	−1.75110	−	0.0599007i
$105$	−12.5459	−	3.98930i	−1.22436	−	0.389316i
$106$	−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	$0.889867\pi$
$108$	7.92644	−	6.72098i	0.762722	−	0.646726i
$109$	−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	$0.920883\pi$
$110$	9.36348	−	10.9041i	0.892773	−	1.03967i
$111$	−2.35458	−	0.832239i	−0.223487	−	0.0789926i
$112$	−10.3961	−	1.98042i	−0.982335	−	0.187132i
$113$	−12.2439	+	7.06904i	−1.15181	+	0.664999i	−0.949328	−	0.314286i	$-0.898235\pi$
$113$	−12.2439	+	7.06904i	−1.15181	+	0.664999i	−0.202484	+	0.979286i	$0.564901\pi$
$114$	−4.47107	+	2.56898i	−0.418754	+	0.240607i
$115$	13.6635	−	7.88863i	1.27413	−	0.735618i
$116$	−1.94845	+	4.99594i	−0.180909	+	0.463861i
$117$	−17.6853	+	6.81271i	−1.63501	+	0.629835i
$118$	−7.62681	−	6.54923i	−0.702105	−	0.602906i
$119$	5.18253	+	8.34984i	0.475082	+	0.765429i
$120$	−5.14104	+	13.1013i	−0.469310	+	1.19598i
$121$	−0.757488	+	1.31201i	−0.0688625	+	0.119273i
$122$	−6.08420	−	5.22457i	−0.550838	−	0.473011i
$123$	3.49469	−	9.88722i	0.315105	−	0.891501i
$124$	0.507605	−	0.0776189i	0.0455842	−	0.00697039i
$125$			5.01857i			0.448875i
$126$	−10.9698	+	2.38002i	−0.977263	+	0.212029i
$127$		−	16.9477i		−	1.50386i	−0.659242	−	0.751931i	$-0.729123\pi$
$127$		−	16.9477i		−	1.50386i	0.659242	−	0.751931i	$-0.270877\pi$
$128$	−2.84638	+	10.9498i	−0.251586	+	0.967835i
$129$	9.43491	−	1.75441i	0.830698	−	0.154467i
$130$	16.7209	−	19.4721i	1.46652	−	1.70782i
$131$	2.60082	−	4.50475i	0.227235	−	0.393582i	−0.729753	−	0.683711i	$-0.760365\pi$
$131$	2.60082	−	4.50475i	0.227235	−	0.393582i	0.956988	+	0.290129i	$0.0936982\pi$
$132$	2.29050	−	12.0388i	0.199363	−	1.04785i
$133$	5.56689	−	0.177552i	0.482711	−	0.0153957i
$134$	6.76819	−	7.88180i	0.584683	−	0.680884i
$135$	0.417156	+	14.9218i	0.0359031	+	1.28426i
$136$	9.27270	−	4.93886i	0.795128	−	0.423504i
$137$	11.3449	−	6.54999i	0.969262	−	0.559604i	0.0702508	−	0.997529i	$-0.477620\pi$
$137$	11.3449	−	6.54999i	0.969262	−	0.559604i	0.899011	+	0.437926i	$0.144287\pi$
$138$	6.75042	−	11.6361i	0.574634	−	0.990528i
$139$	3.88147	−	2.24097i	0.329222	−	0.190076i	−0.326274	−	0.945275i	$-0.605793\pi$
$139$	3.88147	−	2.24097i	0.329222	−	0.190076i	0.655496	+	0.755199i	$0.272460\pi$
$140$	11.5558	−	9.87677i	0.976640	−	0.834739i
$141$	−2.68750	+	2.29809i	−0.226329	+	0.193534i
$142$	−9.70338	−	8.33240i	−0.814290	−	0.699240i
$143$	−11.1744	+	19.3546i	−0.934447	+	1.61851i
$144$	1.76446	+	11.8696i	0.147038	+	0.989131i
$145$	−3.85133	−	6.67070i	−0.319836	−	0.553972i
$146$	−15.6437	+	5.49275i	−1.29468	+	0.454583i
$147$	11.6655	+	3.30379i	0.962158	+	0.272492i
$148$	2.25070	−	1.80275i	0.185006	−	0.148185i
$149$	7.31351	+	4.22246i	0.599146	+	0.345917i	0.768706	−	0.639603i	$-0.220901\pi$
$149$	7.31351	+	4.22246i	0.599146	+	0.345917i	−0.169559	+	0.985520i	$0.554234\pi$
$150$	−3.96982	−	6.90911i	−0.324135	−	0.564126i
$151$	−5.44907	+	3.14602i	−0.443439	+	0.256020i	−0.705055	−	0.709152i	$-0.749078\pi$
$151$	−5.44907	+	3.14602i	−0.443439	+	0.256020i	0.261616	+	0.965172i	$0.415744\pi$
$152$	0.203562	−	5.95080i	0.0165110	−	0.482674i
$153$	7.00246	−	8.66821i	0.566116	−	0.700783i
$154$	−8.29888	+	10.3120i	−0.668743	+	0.830968i
$155$	−0.368801	+	0.638783i	−0.0296228	+	0.0513083i
$156$	4.09029	−	21.4984i	0.327485	−	1.72125i
$157$	−9.99614			−0.797779			−0.398889	−	0.916999i	$-0.630604\pi$
$157$	−9.99614			−0.797779			−0.398889	+	0.916999i	$0.630604\pi$
$158$	11.4086	−	13.2857i	0.907617	−	1.05695i
$159$	3.85666	−	0.717143i	0.305853	−	0.0568731i
$160$	−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	−0.862507	−	0.506045i	$-0.831107\pi$
$163$	−10.9225	+	6.30608i	−0.855513	+	0.493930i	0.00699437	+	0.999976i	$0.497774\pi$
$164$	7.57002	+	9.45100i	0.591119	+	0.737999i
$165$	11.4400	+	13.3786i	0.890606	+	1.04152i
$166$	14.6660	−	5.14946i	1.13830	−	0.399676i
$167$	−4.48097	−	7.76126i	−0.346748	−	0.600585i	0.638922	−	0.769272i	$-0.279381\pi$
$167$	−4.48097	−	7.76126i	−0.346748	−	0.600585i	−0.985670	+	0.168687i	$0.946047\pi$
$168$	4.34765	−	12.2106i	0.335429	−	0.942066i
$169$	−13.4547	+	23.3042i	−1.03498	+	1.79263i
$170$	−2.78972	+	14.8308i	−0.213962	+	1.13747i
$171$	−2.27021	−	5.89333i	−0.173608	−	0.450674i
$172$	−4.02638	+	10.3239i	−0.307009	+	0.787188i
$173$		−	6.30433i		−	0.479309i	−0.970858	−	0.239655i	$-0.922966\pi$
$173$		−	6.30433i		−	0.479309i	0.970858	−	0.239655i	$-0.0770342\pi$
$174$	−5.68088	−	3.29565i	−0.430667	−	0.249842i
$175$	0.274370	+	8.60247i	0.0207404	+	0.650286i
$176$	10.4142	+	9.58043i	0.784998	+	0.722152i
$177$	9.35758	−	8.00167i	0.703359	−	0.601443i
$178$	−11.7543	−	2.21102i	−0.881021	−	0.165723i
$179$	−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	$0.985932\pi$
$180$	−14.8916	−	8.68053i	−1.10995	−	0.647008i
$181$	23.8306			1.77132			0.885658	−	0.464338i	$-0.153708\pi$
$181$	23.8306			1.77132			0.885658	+	0.464338i	$0.153708\pi$
$182$	−14.8198	+	18.4148i	−1.09852	+	1.36500i
$183$	7.46490	−	6.38324i	0.551821	−	0.471863i
$184$	7.30229	+	13.7100i	0.538332	+	1.01072i
$185$			4.14213i			0.304536i
$186$	−0.00130921	+	0.628911i	−9.59962e−5	+	0.0461140i
$187$		−	13.1403i		−	0.960916i
$188$	−0.617185	−	4.03620i	−0.0450128	−	0.294370i
$189$	−0.822069	−	13.7231i	−0.0597968	−	0.998211i
$190$	6.48873	+	5.57194i	0.470742	+	0.404231i
$191$	−5.49898			−0.397892			−0.198946	−	0.980010i	$-0.563752\pi$
$191$	−5.49898			−0.397892			−0.198946	+	0.980010i	$0.563752\pi$
$192$	−12.7183	−	5.49962i	−0.917862	−	0.396901i
$193$	−12.0441			−0.866957			−0.433478	−	0.901164i	$-0.642714\pi$
$193$	−12.0441			−0.866957			−0.433478	+	0.901164i	$0.642714\pi$
$194$	−13.2259	+	4.64382i	−0.949566	+	0.333407i
$195$	20.4292	+	23.8909i	1.46296	+	1.71086i
$196$	−10.3470	+	9.43075i	−0.739073	+	0.673625i
$197$		−	11.2108i		−	0.798738i	−0.916790	−	0.399369i	$-0.869229\pi$
$197$		−	11.2108i		−	0.798738i	0.916790	−	0.399369i	$-0.130771\pi$
$198$	14.1406	+	5.03121i	1.00493	+	0.357552i
$199$	−15.7110	−	9.07074i	−1.11372	−	0.643008i	−0.173931	−	0.984758i	$-0.555647\pi$
$199$	−15.7110	−	9.07074i	−1.11372	−	0.643008i	−0.939791	+	0.341750i	$0.888980\pi$
$200$	9.19573	+	0.314562i	0.650236	+	0.0222429i
$201$	8.26920	+	9.67043i	0.583264	+	0.682100i
$202$	20.9624	+	3.94311i	1.47491	+	0.277436i
$203$	3.74096	+	6.02726i	0.262564	+	0.423031i
$204$	4.23744	+	12.1494i	0.296680	+	0.850626i
$205$	−17.3934			−1.21481
$206$	−0.675640	−	1.92427i	−0.0470741	−	0.134070i
$207$	12.8163	+	10.3534i	0.890792	+	0.719611i
$208$	18.5972	+	17.1083i	1.28948	+	1.18625i
$209$	−6.44956	−	3.72366i	−0.446125	−	0.257571i
$210$	9.78530	+	15.8391i	0.675250	+	1.09300i
$211$	−1.59074	+	0.918416i	−0.109511	+	0.0632264i	−0.553755	−	0.832679i	$-0.686806\pi$
$211$	−1.59074	+	0.918416i	−0.109511	+	0.0632264i	0.444244	+	0.895906i	$0.353472\pi$
$212$	−1.64584	+	4.22004i	−0.113037	+	0.289833i
$213$	11.9054	−	10.1803i	0.815744	−	0.697543i
$214$	−0.955552	+	5.07992i	−0.0653202	+	0.347256i
$215$	−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
$219$	−3.71230	−	19.9641i	−0.250854	−	1.34905i
$220$	−20.0925	+	3.07239i	−1.35464	+	0.207141i
$221$		−	23.4654i		−	1.57846i
$222$	1.75951	+	3.06227i	0.118091	+	0.205526i
$223$	4.03987	+	2.33242i	0.270530	+	0.156190i	0.629128	−	0.777301i	$-0.283412\pi$
$223$	4.03987	+	2.33242i	0.270530	+	0.156190i	−0.358599	+	0.933492i	$0.616745\pi$
$224$	9.32951	+	11.7030i	0.623354	+	0.781940i
$225$	9.10691	−	3.50814i	0.607128	−	0.233876i
$226$	19.6496	+	3.69617i	1.30708	+	0.245866i
$227$	−6.60761	−	11.4447i	−0.438563	−	0.759613i	0.559016	−	0.829157i	$-0.311179\pi$
$227$	−6.60761	−	11.4447i	−0.438563	−	0.759613i	−0.997579	+	0.0695441i	$0.977846\pi$
$228$	7.16397	+	1.36301i	0.474445	+	0.0902679i
$229$	7.59786	−	13.1599i	0.502081	−	0.869630i	−0.497916	−	0.867225i	$-0.665901\pi$
$229$	7.59786	−	13.1599i	0.502081	−	0.869630i	0.999997	−	0.00240457i	$-0.000765399\pi$
$230$	−21.9278	−	4.12470i	−1.44588	−	0.271975i
$231$	−10.9232	−	11.9790i	−0.718697	−	0.788162i
$232$	6.69342	−	3.56507i	0.439445	−	0.234059i
$233$	5.56063	−	3.21043i	0.364289	−	0.210322i	−0.306671	−	0.951815i	$-0.599215\pi$
$233$	5.56063	−	3.21043i	0.364289	−	0.210322i	0.670961	+	0.741493i	$0.265882\pi$
$234$	25.2517	+	8.98451i	1.65075	+	0.587336i
$235$	5.07926	+	2.93251i	0.331335	+	0.191296i
$236$	2.14897	+	14.0536i	0.139886	+	0.914811i
$237$	13.9387	+	16.3006i	0.905414	+	1.05884i
$238$	2.13251	−	13.7335i	0.138230	−	0.890211i
$239$	5.51439	+	9.55121i	0.356696	+	0.617816i	0.987407	−	0.158202i	$-0.0505697\pi$
$239$	5.51439	+	9.55121i	0.356696	+	0.617816i	−0.630710	+	0.776018i	$0.717236\pi$
$240$	17.5865	−	9.32004i	1.13520	−	0.601606i
$241$	2.06017	+	3.56832i	0.132707	+	0.229855i	0.924719	−	0.380650i	$-0.124300\pi$
$241$	2.06017	+	3.56832i	0.132707	+	0.229855i	−0.792012	+	0.610505i	$0.790966\pi$
$242$	2.02151	−	0.709783i	0.129948	−	0.0456266i
$243$	−14.3842	+	6.00788i	−0.922747	+	0.385406i
$244$	1.71431	+	11.2111i	0.109748	+	0.717716i
$245$	−1.28147	−	20.0689i	−0.0818700	−	1.28215i
$246$	−12.8589	+	7.38843i	−0.819853	+	0.471069i
$247$	−11.5174	−	6.64955i	−0.732832	−	0.423101i
$248$	−0.616131	−	0.384391i	−0.0391244	−	0.0244089i
$249$	3.48028	+	18.7163i	0.220554	+	1.18610i
$250$	4.62375	−	5.38452i	0.292432	−	0.340547i
$251$	12.6369			0.797636			0.398818	−	0.917030i	$-0.369421\pi$
$251$	12.6369			0.797636			0.398818	+	0.917030i	$0.369421\pi$
$252$	13.9624	+	7.55317i	0.879551	+	0.475805i
$253$	19.4285			1.22146
$254$	−15.6143	+	18.1835i	−0.979731	+	1.14093i
$255$	−17.4260	−	6.15930i	−1.09126	−	0.385710i
$256$	13.1423	−	9.12581i	0.821393	−	0.570363i
$257$	14.1631	+	8.17705i	0.883468	+	0.510070i	0.871800	−	0.489862i	$-0.162953\pi$
$257$	14.1631	+	8.17705i	0.883468	+	0.510070i	0.0116674	+	0.999932i	$0.496286\pi$
$258$	−11.7393	−	6.81030i	−0.730856	−	0.423991i
$259$	−0.121607	−	3.81280i	−0.00755627	−	0.236916i
$260$	−35.8804	+	5.48655i	−2.22521	+	0.340261i
$261$	5.05467	−	6.25707i	0.312876	−	0.387303i
$262$	−6.94083	+	2.43703i	−0.428806	+	0.150560i
$263$	−8.92864	−	15.4649i	−0.550564	−	0.953604i	−0.998234	−	0.0594057i	$-0.981079\pi$
$263$	−8.92864	−	15.4649i	−0.550564	−	0.953604i	0.447670	−	0.894199i	$-0.352254\pi$
$264$	−13.5492	+	10.8064i	−0.833897	+	0.665087i
$265$	−3.25320	−	5.63471i	−0.199842	−	0.346137i
$266$	−6.13641	−	4.93843i	−0.376247	−	0.302795i
$267$	4.88162	−	13.8111i	0.298750	−	0.845228i
$268$	−14.5234	+	2.22081i	−0.887161	+	0.135658i
$269$	8.25228	+	4.76446i	0.503150	+	0.290494i	0.730014	−	0.683433i	$-0.239514\pi$
$269$	8.25228	+	4.76446i	0.503150	+	0.290494i	−0.226863	+	0.973927i	$0.572847\pi$
$270$	13.3003	−	16.3942i	0.809428	−	0.997719i
$271$	−1.00748	+	0.581671i	−0.0612002	+	0.0353340i	−0.530288	−	0.847818i	$-0.677916\pi$
$271$	−1.00748	+	0.581671i	−0.0612002	+	0.0353340i	0.469088	+	0.883152i	$0.344583\pi$
$272$	−14.4992	−	3.24420i	−0.879141	−	0.196708i
$273$	−19.5063	−	21.3916i	−1.18057	−	1.29468i
$274$	−18.2069	−	3.42478i	−1.09992	−	0.206898i
$275$	5.75414	−	9.96646i	0.346987	−	0.601000i
$276$	−17.9633	+	6.26521i	−1.08126	+	0.377121i
$277$	11.8702	+	20.5598i	0.713212	+	1.23532i	0.963645	+	0.267185i	$0.0860935\pi$
$277$	11.8702	+	20.5598i	0.713212	+	1.23532i	−0.250434	+	0.968134i	$0.580573\pi$
$278$	−6.22917	−	1.17173i	−0.373601	−	0.0702756i
$279$	−0.760915	−	0.119597i	−0.0455548	−	0.00716011i
$280$	−21.4981	−	0.0496727i	−1.28476	−	0.00296851i
$281$	6.09203	+	3.51723i	0.363420	+	0.209821i	0.670580	−	0.741837i	$-0.266045\pi$
$281$	6.09203	+	3.51723i	0.363420	+	0.209821i	−0.307160	+	0.951658i	$0.599379\pi$
$282$	5.00077	+	0.0104102i	0.297791	+	0.000619917i
$283$			19.0379i			1.13168i	0.824514	+	0.565842i	$0.191449\pi$
$283$			19.0379i			1.13168i	−0.824514	+	0.565842i	$0.808551\pi$
$284$	2.73407	+	17.8800i	0.162237	+	1.06098i
$285$	−7.96123	+	6.80765i	−0.471582	+	0.403251i
$286$	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
$290$	−2.01374	+	10.7055i	−0.118251	+	0.628646i
$291$	−3.13854	−	16.8785i	−0.183985	−	0.989436i
$292$	21.8451	+	8.51973i	1.27839	+	0.498579i
$293$	−13.1105	+	7.56934i	−0.765923	+	0.442206i	−0.831418	−	0.555647i	$-0.812471\pi$
$293$	−13.1105	+	7.56934i	−0.765923	+	0.442206i	0.0654953	+	0.997853i	$0.479137\pi$
$294$	−9.47231	−	14.2925i	−0.552436	−	0.833555i
$295$	−17.6854	−	10.2107i	−1.02968	−	0.594488i
$296$	−4.07574	−	0.139421i	−0.236898	−	0.00810366i
$297$	−8.74262	+	16.1701i	−0.507299	+	0.938282i
$298$	−3.95654	−	11.2685i	−0.229196	−	0.652766i
$299$	34.6945			2.00644
$300$	−2.10626	+	11.0704i	−0.121605	+	0.639151i
$301$	7.73053	+	12.4551i	0.445580	+	0.717898i
$302$	8.74493	+	1.64495i	0.503214	+	0.0946563i
$303$	−8.70581	+	24.6306i	−0.500136	+	1.41499i
$304$	−5.70104	+	6.19718i	−0.326977	+	0.355433i
$305$	−14.1083	−	8.14544i	−0.807840	−	0.466407i
$306$	−15.4993	+	2.84872i	−0.886038	+	0.162850i
$307$			14.8488i			0.847463i	0.905788	+	0.423732i	$0.139280\pi$
$307$			14.8488i			0.847463i	−0.905788	+	0.423732i	$0.860720\pi$
$308$	18.4048	−	3.41800i	1.04871	−	0.194758i
$309$	2.45570	−	0.456634i	0.139700	−	0.0259770i
$310$	0.984222	−	0.345575i	0.0559001	−	0.0196274i
$311$	6.46138			0.366391			0.183195	−	0.983077i	$-0.441356\pi$
$311$	6.46138			0.366391			0.183195	+	0.983077i	$0.441356\pi$
$312$	−24.1956	+	19.2976i	−1.36981	+	1.09251i
$313$	−12.2306			−0.691312			−0.345656	−	0.938361i	$-0.612344\pi$
$313$	−12.2306			−0.691312			−0.345656	+	0.938361i	$0.612344\pi$
$314$	10.7250	+	9.20972i	0.605250	+	0.519735i
$315$	−21.0060	+	8.87085i	−1.18355	+	0.499816i
$316$	−24.4809	+	3.74343i	−1.37716	+	0.210585i
$317$		−	20.0298i		−	1.12498i	−0.826803	−	0.562492i	$-0.809843\pi$
$317$		−	20.0298i		−	1.12498i	0.826803	−	0.562492i	$-0.190157\pi$
$318$	−4.79861	−	2.78381i	−0.269093	−	0.156109i
$319$		−	9.48523i		−	0.531071i
$320$	−1.57051	+	22.9288i	−0.0877941	+	1.28176i
$321$	−5.96885	−	2.10972i	−0.333149	−	0.117753i
$322$	20.3055	+	3.15299i	1.13158	+	0.175709i
$323$	7.81944			0.435085
$324$	2.86886	−	17.7699i	0.159381	−	0.987217i
$325$	10.2755	−	17.7977i	0.569982	−	0.987237i
$326$	17.5289	+	3.29724i	0.970835	+	0.182617i
$327$	4.61288	+	24.8072i	0.255093	+	1.37184i
$328$	0.585447	−	17.1146i	0.0323259	−	0.944997i
$329$	−4.76152	−	2.55024i	−0.262511	−	0.140599i
$330$	0.0518226	−	24.8942i	0.00285274	−	1.37038i
$331$		−	27.5156i		−	1.51240i	−0.654343	−	0.756198i	$-0.727055\pi$
$331$		−	27.5156i		−	1.51240i	0.654343	−	0.756198i	$-0.272945\pi$
$332$	−20.4798	−	7.98726i	−1.12397	−	0.438358i
$333$	−4.03638	+	1.55488i	−0.221192	+	0.0852072i
$334$	−2.34295	+	12.4556i	−0.128201	+	0.681543i
$335$	10.5520	−	18.2767i	0.576520	−	0.998562i
$336$	−15.9146	+	9.09534i	−0.868213	+	0.496191i
$337$	7.03073	+	12.1776i	0.382988	+	0.663355i	0.991488	−	0.130199i	$-0.0415616\pi$
$337$	7.03073	+	12.1776i	0.382988	+	0.663355i	−0.608500	+	0.793554i	$0.708228\pi$
$338$	35.9066	−	12.6074i	1.95306	−	0.685750i
$339$	−8.16060	+	23.0881i	−0.443223	+	1.25397i
$340$	16.6571	−	13.3420i	0.903360	−	0.723570i
$341$	−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
$345$	9.10675	−	25.7649i	0.490291	−	1.38714i
$346$	−5.80835	+	6.76404i	−0.312259	+	0.363637i
$347$	−16.8286			−0.903404			−0.451702	−	0.892169i	$-0.649183\pi$
$347$	−16.8286			−0.903404			−0.451702	+	0.892169i	$0.649183\pi$
$348$	3.05876	+	8.76992i	0.163967	+	0.470117i
$349$	0.669636	−	1.15984i	0.0358448	−	0.0620850i	−0.847546	−	0.530721i	$-0.821921\pi$
$349$	0.669636	−	1.15984i	0.0358448	−	0.0620850i	0.883391	+	0.468636i	$0.155254\pi$
$350$	7.63132	−	9.48254i	0.407911	−	0.506863i
$351$	−15.6122	+	28.8758i	−0.833318	+	1.54128i
$352$	−2.34685	−	19.8739i	−0.125088	−	1.05928i
$353$	1.26103	−	0.728056i	0.0671179	−	0.0387505i	−0.466066	−	0.884750i	$-0.654329\pi$
$353$	1.26103	−	0.728056i	0.0671179	−	0.0387505i	0.533183	+	0.846000i	$0.320996\pi$
$354$	−17.4121	−	0.0362470i	−0.925442	−	0.00192651i
$355$	−22.5006	−	12.9908i	−1.19421	−	0.689478i
$356$	10.5743	+	13.2018i	0.560438	+	0.699694i
$357$	16.2213	+	5.15799i	0.858522	+	0.272990i
$358$	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	$0.842980\pi$
$360$	7.97986	+	23.0335i	0.420575	+	1.21397i
$361$	−7.28416	+	12.6165i	−0.383377	+	0.664028i
$362$	−25.5683	−	21.9558i	−1.34384	−	1.15397i
$363$	0.479710	+	2.57979i	0.0251782	+	0.135404i
$364$	32.8665	−	6.10371i	1.72267	−	0.319922i
$365$	−29.1681	+	16.8402i	−1.52673	+	0.881457i
$366$	−13.8903	−	0.0289156i	−0.726057	−	0.00151144i
$367$	2.17914	−	1.25813i	0.113750	−	0.0656738i	−0.442045	−	0.896993i	$-0.645747\pi$
$367$	2.17914	−	1.25813i	0.113750	−	0.0656738i	0.555796	+	0.831319i	$0.312414\pi$
$368$	4.79667	−	21.4376i	0.250044	−	1.11751i
$369$	−6.52918	−	16.9493i	−0.339896	−	0.882347i
$370$	3.81626	−	4.44417i	0.198398	−	0.231042i
$371$	3.15997	+	5.09119i	0.164058	+	0.264322i
$372$	0.580838	−	0.673564i	0.0301150	−	0.0349227i
$373$	1.97879	−	3.42737i	0.102458	−	0.177462i	−0.810239	−	0.586100i	$-0.800663\pi$
$373$	1.97879	−	3.42737i	0.102458	−	0.177462i	0.912697	+	0.408637i	$0.133996\pi$
$374$	−12.1065	+	14.0985i	−0.626015	+	0.729016i
$375$	5.64918	+	6.60644i	0.291722	+	0.341155i
$376$	−3.05648	+	4.89915i	−0.157626	+	0.252654i
$377$		−	16.9383i		−	0.872368i
$378$	−11.7615	+	15.4812i	−0.604945	+	0.796267i
$379$			5.59867i			0.287584i	0.989608	+	0.143792i	$0.0459297\pi$
$379$			5.59867i			0.287584i	−0.989608	+	0.143792i	$0.954070\pi$
$380$	−1.82829	−	11.9565i	−0.0937895	−	0.613355i
$381$	−19.0772	−	22.3099i	−0.977354	−	1.14297i
$382$	5.89996	+	5.06636i	0.301868	+	0.259218i
$383$	13.0440	−	22.5928i	0.666516	−	1.15444i	−0.312357	−	0.949965i	$-0.601118\pi$
$383$	13.0440	−	22.5928i	0.666516	−	1.15444i	0.978872	−	0.204474i	$-0.0655483\pi$
$384$	8.57872	+	17.6183i	0.437781	+	0.899082i
$385$	−12.6953	+	23.7032i	−0.647010	+	1.20803i
$386$	12.9224	+	11.0966i	0.657733	+	0.564802i
$387$	10.4452	−	12.9299i	0.530962	−	0.657266i
$388$	18.4688	+	7.20296i	0.937612	+	0.365675i
$389$	−5.54894	+	3.20368i	−0.281342	+	0.162433i	−0.634031	−	0.773308i	$-0.718601\pi$
$389$	−5.54894	+	3.20368i	−0.281342	+	0.162433i	0.352689	+	0.935741i	$0.385268\pi$
$390$	0.0925426	−	44.4550i	0.00468608	−	2.25106i
$391$	−17.6663	+	10.1996i	−0.893422	+	0.515817i
$392$	19.7903	−	0.585430i	0.999563	−	0.0295687i
$393$	−1.64708	−	8.85767i	−0.0830840	−	0.446811i
$394$	−10.3288	+	12.0283i	−0.520359	+	0.605977i
$395$	17.7867	−	30.8074i	0.894945	−	1.55009i
$396$	−10.5363	−	18.4262i	−0.529470	−	0.925951i
$397$	−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
$399$	7.12838	−	6.50012i	0.356866	−	0.325413i
$400$	−9.57646	−	8.80978i	−0.478823	−	0.440489i
$401$	28.4389	+	16.4192i	1.42017	+	0.819936i	0.996313	−	0.0857921i	$-0.0273421\pi$
$401$	28.4389	+	16.4192i	1.42017	+	0.819936i	0.423858	+	0.905728i	$0.360675\pi$
$402$	0.0374589	−	17.9942i	0.00186828	−	0.897471i
$403$	−1.40470	+	0.811002i	−0.0699729	+	0.0403989i
$404$	−18.8581	−	23.5439i	−0.938225	−	1.17135i
$405$	17.3459	+	19.1734i	0.861924	+	0.952735i
$406$	1.53933	−	9.91342i	0.0763958	−	0.491995i
$407$	−2.55036	+	4.41735i	−0.126416	+	0.218960i
$408$	6.64712	−	16.9394i	0.329082	−	0.838623i
$409$	−7.30793			−0.361354			−0.180677	−	0.983543i	$-0.557829\pi$
$409$	−7.30793			−0.361354			−0.180677	+	0.983543i	$0.557829\pi$
$410$	18.6617	+	16.0250i	0.921636	+	0.791419i
$411$	7.56141	−	21.3928i	0.372977	−	1.05523i
$412$	−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
$416$	−4.19091	−	35.4900i	−0.205476	−	1.74004i
$417$	2.58701	−	7.31919i	0.126686	−	0.358422i
$418$	3.48915	+	9.93734i	0.170660	+	0.486051i
$419$	−4.39689	−	7.61563i	−0.214802	−	0.372048i	0.738409	−	0.674353i	$-0.235577\pi$
$419$	−4.39689	−	7.61563i	−0.214802	−	0.372048i	−0.953211	+	0.302305i	$0.902244\pi$
$420$	4.09417	−	26.0096i	0.199775	−	1.26914i
$421$	18.6580	−	32.3165i	0.909334	−	1.57501i	0.0943413	−	0.995540i	$-0.469926\pi$
$421$	18.6580	−	32.3165i	0.909334	−	1.57501i	0.814992	−	0.579472i	$-0.196741\pi$
$422$	2.55290	+	0.480210i	0.124273	+	0.0233762i
$423$	−0.950976	+	6.05040i	−0.0462380	+	0.294180i
$424$	5.65390	−	3.01140i	0.274577	−	0.146246i
$425$			12.0833i			0.586127i
$426$	−22.1529	−	0.0461161i	−1.07331	−	0.00223433i
$427$	13.2257	+	7.08362i	0.640038	+	0.342800i
$428$	5.70550	−	4.56997i	0.275786	−	0.220898i
$429$	7.07662	+	38.0568i	0.341662	+	1.83740i
$430$	−4.16129	+	22.1224i	−0.200675	+	1.06683i
$431$	−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	$0.985188\pi$
$432$	15.6838	+	13.6389i	0.754585	+	0.656202i
$433$	−41.0490			−1.97269			−0.986343	−	0.164702i	$-0.947334\pi$
$433$	−41.0490			−1.97269			−0.986343	+	0.164702i	$0.947334\pi$
$434$	−0.895823	+	0.346995i	−0.0430009	+	0.0166563i
$435$	−12.5788	−	4.44604i	−0.603107	−	0.213171i
$436$	−27.1446	−	10.5866i	−1.29999	−	0.507005i
$437$			11.5613i			0.553053i
$438$	−14.4104	+	24.8401i	−0.688558	+	1.18690i
$439$			39.0269i			1.86265i	0.364186	+	0.931326i	$0.381347\pi$
$439$			39.0269i			1.86265i	−0.364186	+	0.931326i	$0.618653\pi$
$440$	24.3883	+	15.2154i	1.16267	+	0.725364i
$441$	19.0754	−	8.78225i	0.908354	−	0.418202i
$442$	−21.6194	+	25.1765i	−1.02833	+	1.19752i
$443$	14.6222			0.694721			0.347360	−	0.937732i	$-0.387078\pi$
$443$	14.6222			0.694721			0.347360	+	0.937732i	$0.387078\pi$
$444$	0.933538	−	4.90665i	0.0443037	−	0.232859i
$445$	−24.2963			−1.15175
$446$	−2.18553	−	6.22454i	−0.103488	−	0.294741i
$447$	14.3805	−	2.67404i	0.680175	−	0.126478i
$448$	0.772486	−	21.1519i	0.0364965	−	0.999334i
$449$		−	4.89587i		−	0.231051i	−0.993305	−	0.115525i	$-0.963145\pi$
$449$		−	4.89587i		−	0.231051i	0.993305	−	0.115525i	$-0.0368551\pi$
$450$	−13.0031	−	4.62650i	−0.612973	−	0.218095i
$451$	−18.5491	−	10.7093i	−0.873441	−	0.504282i
$452$	−17.6771	−	22.0695i	−0.831461	−	1.03806i
$453$	−3.63182	+	10.2752i	−0.170638	+	0.482770i
$454$	−3.45490	+	18.3670i	−0.162147	+	0.862007i
$455$	−22.6707	+	42.3281i	−1.06282	+	1.98437i
$456$	−6.43057	−	8.06277i	−0.301139	−	0.377574i
$457$	−29.0153			−1.35728			−0.678639	−	0.734472i	$-0.737430\pi$
$457$	−29.0153			−1.35728			−0.678639	+	0.734472i	$0.737430\pi$
$458$	−20.2765	+	7.11937i	−0.947457	+	0.332666i
$459$	−0.539364	−	19.2932i	−0.0251753	−	0.900528i
$460$	19.7266	+	24.6282i	0.919757	+	1.14830i
$461$	−6.60037	−	3.81073i	−0.307410	−	0.177483i	0.338357	−	0.941018i	$-0.390129\pi$
$461$	−6.60037	−	3.81073i	−0.307410	−	0.177483i	−0.645767	+	0.763535i	$0.723462\pi$
$462$	0.683153	+	22.9164i	0.0317832	+	1.06617i
$463$	11.4432	−	6.60672i	0.531810	−	0.307040i	−0.209943	−	0.977714i	$-0.567328\pi$
$463$	11.4432	−	6.60672i	0.531810	−	0.307040i	0.741753	+	0.670673i	$0.233995\pi$
$464$	−10.4661	−	2.34180i	−0.485877	−	0.108715i
$465$	0.233558	+	1.25604i	0.0108310	+	0.0582472i
$466$	−8.92397	−	1.67863i	−0.413395	−	0.0777610i
$467$	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
$471$	−13.1589	+	11.2522i	−0.606330	+	0.518474i
$472$	10.6423	−	17.0583i	0.489851	−	0.785170i
$473$		−	19.6008i		−	0.901246i
$474$	0.0631412	−	30.3313i	0.00290017	−	1.39316i
$475$	5.93076	+	3.42413i	0.272122	+	0.157110i
$476$	−14.9411	+	12.7702i	−0.684823	+	0.585321i
$477$	4.26965	−	5.28531i	0.195494	−	0.241998i
$478$	2.88330	−	15.3282i	0.131879	−	0.701097i
$479$	−1.97012	−	3.41235i	−0.0900170	−	0.155914i	0.817501	−	0.575927i	$-0.195359\pi$
$479$	−1.97012	−	3.41235i	−0.0900170	−	0.155914i	−0.907518	+	0.420013i	$0.862025\pi$
$480$	−27.4557	−	6.20328i	−1.25318	−	0.283140i
$481$	−4.55432	+	7.88831i	−0.207659	+	0.359676i
$482$	1.07719	−	5.72660i	0.0490649	−	0.260840i
$483$	−7.62627	+	23.9838i	−0.347007	+	1.09130i
$484$	−2.82286	−	1.10093i	−0.128312	−	0.0500425i
$485$	−24.6600	+	14.2375i	−1.11976	+	0.646491i
$486$	20.9683	+	6.80660i	0.951142	+	0.308754i
$487$	29.7489	+	17.1756i	1.34805	+	0.778299i	0.987974	−	0.154623i	$-0.0494162\pi$
$487$	29.7489	+	17.1756i	1.34805	+	0.778299i	0.360079	+	0.932922i	$0.382750\pi$
$488$	8.48977	−	13.6080i	0.384314	−	0.616007i
$489$	−7.27984	+	20.5962i	−0.329206	+	0.931393i
$490$	−17.1151	+	22.7129i	−0.773180	+	1.02606i
$491$	−15.4355	−	26.7350i	−0.696592	−	1.20653i	−0.969641	−	0.244533i	$-0.921365\pi$
$491$	−15.4355	−	26.7350i	−0.696592	−	1.20653i	0.273049	−	0.962000i	$-0.411968\pi$
$492$	20.6037	+	3.92006i	0.928887	+	0.176730i
$493$	4.97959	+	8.62491i	0.224270	+	0.388446i
$494$	6.23078	+	17.7457i	0.280336	+	0.798416i
$495$	30.1193	+	4.73403i	1.35376	+	0.212779i
$496$	0.306908	+	0.980079i	0.0137806	+	0.0440069i
$497$	21.0931	+	11.2973i	0.946153	+	0.506753i
$498$	13.5098	−	23.2876i	0.605389	−	1.04354i
$499$	4.44052	+	2.56373i	0.198785	+	0.114768i	0.596089	−	0.802919i	$-0.296721\pi$
$499$	4.44052	+	2.56373i	0.198785	+	0.114768i	−0.397304	+	0.917687i	$0.630054\pi$
$500$	−9.92182	+	1.51717i	−0.443717	+	0.0678498i
$501$	−14.6352	−	5.17290i	−0.653854	−	0.231108i
$502$	−13.5584	−	11.6428i	−0.605141	−	0.519642i
$503$	−6.16708			−0.274976			−0.137488	−	0.990503i	$-0.543903\pi$
$503$	−6.16708			−0.274976			−0.137488	+	0.990503i	$0.543903\pi$
$504$	−8.02163	−	20.9679i	−0.357312	−	0.933985i
$505$	43.3297			1.92814
$506$	−20.8452	−	17.9000i	−0.926680	−	0.795751i
$507$	8.52073	+	45.8229i	0.378419	+	2.03507i
$508$	33.5059	−	5.12346i	1.48658	−	0.227317i
$509$	−8.65668	−	4.99794i	−0.383701	−	0.221530i	0.295726	−	0.955273i	$-0.404438\pi$
$509$	−8.65668	−	4.99794i	−0.383701	−	0.221530i	−0.679427	+	0.733743i	$0.737772\pi$
$510$	13.0219	+	22.6635i	0.576620	+	1.00355i
$511$	26.3546	−	16.3576i	1.16586	−	0.723619i
$512$	−22.5085	−	2.31710i	−0.994743	−	0.102402i
$513$	−9.62235	−	5.20249i	−0.424837	−	0.229696i
$514$	−7.66208	−	21.8221i	−0.337960	−	0.962533i
$515$	−2.07145	−	3.58785i	−0.0912788	−	0.158099i
$516$	6.32078	+	18.1226i	0.278257	+	0.797805i
$517$	3.61116	+	6.25472i	0.158819	+	0.275082i
$518$	−3.38236	+	4.20287i	−0.148613	+	0.184663i
$519$	−7.09649	−	8.29901i	−0.311501	−	0.364286i
$520$	43.5516	+	27.1709i	1.90986	+	1.19152i
$521$	10.2779	+	5.93396i	0.450284	+	0.259971i	0.707950	−	0.706263i	$-0.249620\pi$
$521$	10.2779	+	5.93396i	0.450284	+	0.259971i	−0.257666	+	0.966234i	$0.582954\pi$
$522$	−11.1881	+	2.05632i	−0.489688	+	0.0900028i
$523$	−13.5741	+	7.83700i	−0.593553	+	0.342688i	−0.766501	−	0.642243i	$-0.778004\pi$
$523$	−13.5741	+	7.83700i	−0.593553	+	0.342688i	0.172948	+	0.984931i	$0.444671\pi$
$524$	9.69225	+	3.78004i	0.423408	+	0.165132i
$525$	10.0446	+	11.0154i	0.438382	+	0.480753i
$526$	−4.66850	+	24.8188i	−0.203556	+	1.08215i
$527$	0.476843	−	0.825917i	0.0207716	−	0.0359775i
$528$	24.4934	+	0.888909i	1.06594	+	0.0386848i
$529$	−3.58052	−	6.20165i	−0.155675	−	0.269637i
$530$	−1.70099	+	9.04285i	−0.0738863	+	0.392796i
$531$	3.31119	−	21.0668i	0.143693	−	0.914220i
$532$	2.03395	+	10.9522i	0.0881831	+	0.474837i
$533$	−33.1241	−	19.1242i	−1.43477	−	0.828362i
$534$	−17.9622	+	10.3207i	−0.777299	+	0.446619i
$535$			10.5003i			0.453967i
$536$	17.6286	+	10.9981i	0.761439	+	0.475046i
$537$	4.55647	+	24.5039i	0.196626	+	1.05742i
$538$	−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	$0.586359\pi$
$542$	1.61686	+	0.304137i	0.0694500	+	0.0130638i
$543$	31.3706	−	26.8250i	1.34624	−	1.15117i
$544$	12.5675	+	16.8392i	0.538826	+	0.721977i
$545$	36.2442	−	20.9256i	1.55253	−	0.896353i
$546$	1.21995	+	40.9232i	0.0522089	+	1.75135i
$547$	14.3949	+	8.31091i	0.615482	+	0.355349i	0.775108	−	0.631829i	$-0.217695\pi$
$547$	14.3949	+	8.31091i	0.615482	+	0.355349i	−0.159626	+	0.987178i	$0.551029\pi$
$548$	16.3792	+	20.4490i	0.699683	+	0.873538i
$549$	2.64146	−	16.8058i	0.112735	−	0.717253i
$550$	−15.3561	+	5.39176i	−0.654786	+	0.229905i
$551$	5.64440			0.240459
$552$	25.0455	+	9.82802i	1.06601	+	0.418308i
$553$	−15.4680	+	28.8802i	−0.657768	+	1.22811i
$554$	6.20654	−	32.9954i	0.263691	−	1.40184i
$555$	4.66261	+	5.45270i	0.197917	+	0.231454i
$556$	5.60384	+	6.99627i	0.237656	+	0.296708i
$557$	−9.30728	−	5.37356i	−0.394362	−	0.227685i	0.289686	−	0.957122i	$-0.406449\pi$
$557$	−9.30728	−	5.37356i	−0.394362	−	0.227685i	−0.684049	+	0.729436i	$0.739782\pi$
$558$	0.706212	+	0.829371i	0.0298963	+	0.0351101i
$559$		−	35.0023i		−	1.48044i
$560$	23.0200	+	19.8601i	0.972773	+	0.839244i
$561$	−14.7915	−	17.2979i	−0.624496	−	0.730318i
$562$	−3.29573	−	9.38646i	−0.139022	−	0.395944i
$563$	0.697444			0.0293937			0.0146969	−	0.999892i	$-0.495322\pi$
$563$	0.697444			0.0293937			0.0146969	+	0.999892i	$0.495322\pi$
$564$	−5.35583	−	4.61851i	−0.225521	−	0.194475i
$565$	40.6161			1.70873
$566$	17.5401	−	20.4261i	0.737266	−	0.858573i
$567$	−16.5297	−	17.1397i	−0.694180	−	0.719801i
$568$	13.5399	−	21.7028i	0.568121	−	0.910627i
$569$			5.87563i			0.246319i	0.992387	+	0.123160i	$0.0393027\pi$
$569$			5.87563i			0.246319i	−0.992387	+	0.123160i	$0.960697\pi$
$570$	14.8138	+	0.0308382i	0.620483	+	0.00129167i
$571$			35.9571i			1.50476i	0.658732	+	0.752378i	$0.271093\pi$
$571$			35.9571i			1.50476i	−0.658732	+	0.752378i	$0.728907\pi$
$572$	−41.6425	−	16.2408i	−1.74116	−	0.679064i
$573$	−7.23885	+	6.18994i	−0.302407	+	0.258589i
$574$	−17.6484	−	14.2030i	−0.736631	−	0.592823i
$575$	−17.8656			−0.745048
$576$	−22.9330	+	7.07667i	−0.955540	+	0.294861i
$577$	−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	$0.951038\pi$
$578$	−0.837393	+	4.45176i	−0.0348309	+	0.185169i
$579$	−15.8549	+	13.5575i	−0.658907	+	0.563432i
$580$	12.0238	−	9.63078i	0.499262	−	0.399897i
$581$	−24.7075	+	15.3353i	−1.02504	+	0.636215i
$582$	−12.1832	+	21.0009i	−0.505012	+	0.870516i
$583$		−	8.01212i		−	0.331828i
$584$	−15.5885	−	29.2674i	−0.645058	−	1.21110i
$585$	53.7858	+	8.45382i	2.22377	+	0.349523i
$586$	21.0403	+	3.95776i	0.869168	+	0.163494i
$587$	−16.3434	+	28.3076i	−0.674563	+	1.16838i	0.302033	+	0.953297i	$0.402335\pi$
$587$	−16.3434	+	28.3076i	−0.674563	+	1.16838i	−0.976596	+	0.215080i	$0.930999\pi$
$588$	−3.00505	+	24.0618i	−0.123926	+	0.992291i
$589$	−0.270252	−	0.468090i	−0.0111355	−	0.0192873i
$590$	9.56763	+	27.2493i	0.393893	+	1.12183i
$591$	−12.6195	−	14.7579i	−0.519097	−	0.607059i
$592$	4.24449	+	3.90468i	0.174448	+	0.160481i
$593$	−23.5045	+	13.5704i	−0.965216	+	0.557268i	−0.897774	−	0.440455i	$-0.854817\pi$
$593$	−23.5045	+	13.5704i	−0.965216	+	0.557268i	−0.0674416	+	0.997723i	$0.521484\pi$
$594$	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
$597$	−30.8924	+	5.74442i	−1.26434	+	0.235103i
$598$	−37.2244	−	31.9650i	−1.52222	−	1.30715i
$599$	47.0612			1.92287			0.961433	−	0.275038i	$-0.0886904\pi$
$599$	47.0612			1.92287			0.961433	+	0.275038i	$0.0886904\pi$
$600$	12.4593	−	9.93712i	0.508650	−	0.405681i
$601$	6.84978	−	11.8642i	0.279408	−	0.483950i	−0.691829	−	0.722061i	$-0.743195\pi$
$601$	6.84978	−	11.8642i	0.279408	−	0.483950i	0.971238	+	0.238111i	$0.0765283\pi$
$602$	3.18096	−	20.4856i	0.129646	−	0.834932i
$603$	21.7711	+	3.42189i	0.886588	+	0.139350i
$604$	−7.86706	−	9.82184i	−0.320106	−	0.399645i
$605$	3.76916	−	2.17612i	0.153238	−	0.0884720i
$606$	32.0335	−	18.4057i	1.30127	−	0.747682i
$607$	−38.2780	−	22.0998i	−1.55366	−	0.897005i	−0.997839	−	0.0657010i	$-0.979072\pi$
$607$	−38.2780	−	22.0998i	−1.55366	−	0.897005i	−0.555818	−	0.831304i	$-0.687595\pi$
$608$	11.8264	−	1.39655i	0.479624	−	0.0566374i
$609$	11.7092	+	3.72325i	0.474481	+	0.150874i
$610$	7.63247	+	21.7378i	0.309030	+	0.880138i
$611$	6.44866	+	11.1694i	0.260885	+	0.451866i
$612$	19.2541	+	11.2235i	0.778302	+	0.453684i
$613$	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	$-0.0468394\pi$
$614$	13.6806	−	15.9315i	0.552103	−	0.642943i
$615$	−22.8966	+	19.5789i	−0.923282	+	0.789499i
$616$	−22.8960	−	13.2896i	−0.922504	−	0.535454i
$617$	6.67742	−	3.85521i	0.268823	−	0.155205i	−0.359530	−	0.933134i	$-0.617063\pi$
$617$	6.67742	−	3.85521i	0.268823	−	0.155205i	0.628353	+	0.777929i	$0.283730\pi$
$618$	−3.05547	−	1.77257i	−0.122909	−	0.0713032i
$619$	−11.8501	+	6.84165i	−0.476295	+	0.274989i	−0.718871	−	0.695143i	$-0.755341\pi$
$619$	−11.8501	+	6.84165i	−0.476295	+	0.274989i	0.242576	+	0.970132i	$0.422008\pi$
$620$	−1.37438	−	0.536017i	−0.0551964	−	0.0215270i
$621$	28.5256	−	0.797469i	1.14469	−	0.0320013i
$622$	−6.93253	−	5.95304i	−0.277969	−	0.238695i
$623$	22.3645	−	0.713302i	0.896017	−	0.0285779i
$624$	43.7394	+	1.58738i	1.75098	+	0.0635459i
$625$	15.3414	−	26.5721i	0.613657	−	1.06289i
$626$	13.1224	+	11.2684i	0.524477	+	0.450374i
$627$	−12.6817	+	2.35816i	−0.506460	+	0.0941757i
$628$	−3.02194	−	19.7626i	−0.120588	−	0.788612i
$629$		−	5.35559i		−	0.213541i
$630$	30.7107	+	9.83571i	1.22354	+	0.391864i
$631$			7.14717i			0.284524i	0.989829	+	0.142262i	$0.0454376\pi$
$631$			7.14717i			0.284524i	−0.989829	+	0.142262i	$0.954562\pi$
$632$	29.7150	+	18.5386i	1.18200	+	0.737424i
$633$	−1.06023	+	2.99963i	−0.0421405	+	0.119224i
$634$	−18.4540	+	21.4903i	−0.732901	+	0.853489i
$635$	−24.3438	+	42.1646i	−0.966053	+	1.67325i
$636$	2.58372	+	7.40790i	0.102451	+	0.293742i
$637$	19.6255	−	39.6283i	0.777590	−	1.57013i
$638$	−8.73901	+	10.1769i	−0.345981	+	0.402907i
$639$	4.21273	−	26.8027i	0.166653	−	1.06030i
$640$	22.8100	−	23.1538i	0.901644	−	0.915235i
$641$	39.6338	−	22.8826i	1.56544	−	0.903809i	0.568753	−	0.822509i	$-0.307426\pi$
$641$	39.6338	−	22.8826i	1.56544	−	0.903809i	0.996690	−	0.0813000i	$-0.0259072\pi$
$642$	4.46035	+	7.76282i	0.176036	+	0.306374i
$643$	−7.64287	+	4.41261i	−0.301405	+	0.174016i	−0.643074	−	0.765804i	$-0.722341\pi$
$643$	−7.64287	+	4.41261i	−0.301405	+	0.174016i	0.341669	+	0.939820i	$0.389008\pi$
$644$	−18.8812	−	22.0909i	−0.744024	−	0.870504i
$645$	−25.9935	−	9.18753i	−1.02349	−	0.361759i
$646$	−8.38963	−	7.20427i	−0.330085	−	0.283448i
$647$	−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	$0.285130\pi$
$648$	−19.4500	+	16.4225i	−0.764067	+	0.645137i
$649$	−12.5736	−	21.7782i	−0.493559	−	0.854869i
$650$	−27.4223	+	9.62837i	−1.07559	+	0.377656i
$651$	−0.251864	−	1.14931i	−0.00987133	−	0.0450452i
$652$	−15.7692	−	19.6875i	−0.617570	−	0.771023i
$653$	13.4600	+	7.77115i	0.526732	+	0.304109i	0.739685	−	0.672954i	$-0.234975\pi$
$653$	13.4600	+	7.77115i	0.526732	+	0.304109i	−0.212953	+	0.977062i	$0.568308\pi$
$654$	17.9063	−	30.8661i	0.700194	−	1.20696i
$655$	−12.9413	+	7.47169i	−0.505660	+	0.291943i
$656$	−16.3963	+	17.8232i	−0.640169	+	0.695880i
$657$	−27.3595	−	22.1019i	−1.06739	−	0.862277i
$658$	2.75912	+	7.12311i	0.107562	+	0.277688i
$659$	−24.9174	+	43.1582i	−0.970644	+	1.68120i	−0.277025	+	0.960863i	$0.589348\pi$
$659$	−24.9174	+	43.1582i	−0.970644	+	1.68120i	−0.693619	+	0.720342i	$0.743985\pi$
$660$	−22.9913	+	26.6617i	−0.894935	+	1.03780i
$661$	34.9248			1.35842			0.679209	−	0.733945i	$-0.262323\pi$
$661$	34.9248			1.35842			0.679209	+	0.733945i	$0.262323\pi$
$662$	−25.3509	+	29.5220i	−0.985291	+	1.14741i
$663$	−26.4139	−	30.8899i	−1.02583	−	1.19966i
$664$	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
$668$	13.9895	−	11.2053i	0.541271	−	0.433545i
$669$	7.94358	−	1.47710i	0.307116	−	0.0571080i
$670$	−28.1603	+	9.88751i	−1.08793	+	0.381988i
$671$	−10.0305	−	17.3733i	−0.387222	−	0.670689i
$672$	25.4549	+	4.90401i	0.981943	+	0.189176i
$673$	−17.4451	+	30.2158i	−0.672459	+	1.16473i	0.304745	+	0.952434i	$0.401429\pi$
$673$	−17.4451	+	30.2158i	−0.672459	+	1.16473i	−0.977205	+	0.212300i	$0.931905\pi$
$674$	3.67614	−	19.5432i	0.141600	−	0.752775i
$675$	8.03937	−	14.8693i	0.309435	−	0.572321i
$676$	−50.1404	−	19.5551i	−1.92848	−	0.752119i
$677$			25.5382i			0.981513i	0.871297	+	0.490757i	$0.163280\pi$
$677$			25.5382i			0.981513i	−0.871297	+	0.490757i	$0.836720\pi$
$678$	30.0274	−	17.2531i	1.15319	−	0.662600i
$679$	22.2814	−	13.8295i	0.855081	−	0.530727i
$680$	−30.1641	−	1.03184i	−1.15674	−	0.0395691i
$681$	−21.5810	−	7.62793i	−0.826987	−	0.292303i
$682$	1.26239	+	0.237460i	0.0483395	+	0.00909282i
$683$	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	$0.158047\pi$
$684$	10.9649	−	6.26987i	0.419254	−	0.239735i
$685$	−37.6339			−1.43792
$686$	15.0875	−	21.4095i	0.576043	−	0.817420i
$687$	−4.81166	−	25.8762i	−0.183576	−	0.987239i
$688$	−21.6277	−	4.83922i	−0.824549	−	0.184493i
$689$		−	14.3077i		−	0.545080i
$690$	−33.5088	+	19.2534i	−1.27566	+	0.732964i
$691$			29.7159i			1.13045i	0.824938	+	0.565223i	$0.191210\pi$
$691$			29.7159i			1.13045i	−0.824938	+	0.565223i	$0.808790\pi$
$692$	12.4638	−	1.90587i	0.473802	−	0.0724501i
$693$	−27.8636	−	3.47338i	−1.05845	−	0.131943i
$694$	18.0557	+	15.5046i	0.685384	+	0.588547i
$695$	−12.8758			−0.488406
$696$	4.79817	−	12.2275i	0.181874	−	0.463483i
$697$	22.4889			0.851826
$698$	−1.78706	+	0.627464i	−0.0676413	+	0.0237499i
$699$	3.70617	−	10.4856i	0.140180	−	0.396600i
$700$	−16.9243	+	3.14305i	−0.639679	+	0.118796i
$701$			37.7345i			1.42521i	0.701565	+	0.712605i	$0.252485\pi$
$701$			37.7345i			1.42521i	−0.701565	+	0.712605i	$0.747515\pi$
$702$	43.3547	−	16.5974i	1.63632	−	0.626430i
$703$	−2.62864	−	1.51765i	−0.0991410	−	0.0572391i
$704$	−15.7924	+	23.4853i	−0.595198	+	0.885135i
$705$	9.98733	−	1.85713i	0.376145	−	0.0699437i
$706$	−2.02376	−	0.380677i	−0.0761653	−	0.0143270i
$707$	−39.8846	+	1.27209i	−1.50002	+	0.0478420i
$708$	18.6484	+	16.0811i	0.700848	+	0.604366i
$709$	4.38026			0.164504			0.0822521	−	0.996612i	$-0.473789\pi$
$709$	4.38026			0.164504			0.0822521	+	0.996612i	$0.473789\pi$
$710$	12.1726	+	34.6685i	0.456831	+	1.30109i
$711$	36.6977	+	5.76799i	1.37627	+	0.216316i
$712$	0.817792	−	23.9069i	0.0306481	−	0.895948i
$713$	1.22115	+	0.705030i	0.0457324	+	0.0264036i
$714$	−12.6519	−	20.4792i	−0.473487	−	0.766416i
$715$	55.6021	−	32.1019i	2.07940	−	1.20054i
$716$	−26.8126	−	10.4571i	−1.00204	−	0.390801i
$717$	18.0105	+	6.36590i	0.672614	+	0.237739i
$718$	−0.300200	+	1.59593i	−0.0112034	+	0.0595596i
$719$	−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
$723$	6.72869	+	2.37829i	0.250243	+	0.0884495i
$724$	7.20425	+	47.1136i	0.267744	+	1.75096i
$725$			8.72224i			0.323936i
$726$	1.86214	−	3.20988i	0.0691107	−	0.119130i
$727$	−21.6003	−	12.4710i	−0.801112	−	0.462522i	0.0427480	−	0.999086i	$-0.486389\pi$
$727$	−21.6003	−	12.4710i	−0.801112	−	0.462522i	−0.843860	+	0.536564i	$0.819722\pi$
$728$	−40.8866	−	23.7320i	−1.51536	−	0.879568i
$729$	−12.1726	+	24.1004i	−0.450835	+	0.892607i
$730$	46.8104	+	8.80520i	1.73253	+	0.325895i
$731$	10.2901	+	17.8230i	0.380593	+	0.659207i
$732$	14.8765	+	12.8285i	0.549852	+	0.474156i
$733$	7.50044	−	12.9912i	0.277035	−	0.479839i	−0.693611	−	0.720349i	$-0.743981\pi$
$733$	7.50044	−	12.9912i	0.277035	−	0.479839i	0.970647	+	0.240510i	$0.0773148\pi$
$734$	−3.49720	−	0.657835i	−0.129084	−	0.0242811i
$735$	−24.2775	−	24.9761i	−0.895489	−	0.921258i
$736$	−24.8974	+	18.5815i	−0.917732	+	0.684922i
$737$	22.5063	−	12.9940i	0.829030	−	0.478641i
$738$	−8.61060	+	24.2008i	−0.316961	+	0.890843i
$739$	3.08238	+	1.77962i	0.113387	+	0.0654642i	0.555621	−	0.831436i	$-0.312481\pi$
$739$	3.08238	+	1.77962i	0.113387	+	0.0654642i	−0.442234	+	0.896900i	$0.645814\pi$
$740$	−8.18908	+	1.25221i	−0.301036	+	0.0460322i
$741$	−22.6465	+	4.21110i	−0.831940	+	0.154698i
$742$	1.30027	−	8.37381i	0.0477342	−	0.307412i
$743$	24.3308	+	42.1422i	0.892610	+	1.54605i	0.836735	+	0.547608i	$0.184462\pi$
$743$	24.3308	+	42.1422i	0.892610	+	1.54605i	0.0558753	+	0.998438i	$0.482205\pi$
$744$	−1.24377	+	0.187538i	−0.0455986	+	0.00687548i
$745$	−12.1304	−	21.0104i	−0.444422	−	0.769761i
$746$	−5.28081	+	1.85417i	−0.193344	+	0.0678861i
$747$	25.6495	+	20.7206i	0.938468	+	0.758126i
$748$	25.9787	−	3.97246i	0.949875	−	0.145247i
$749$	−0.308272	−	9.66542i	−0.0112640	−	0.353167i
$750$	0.0255904	−	12.2929i	0.000934428	−	0.448874i
$751$	18.5968	+	10.7369i	0.678607	+	0.391794i	0.799330	−	0.600892i	$-0.205188\pi$
$751$	18.5968	+	10.7369i	0.678607	+	0.391794i	−0.120723	+	0.992686i	$0.538521\pi$
$752$	7.79307	−	2.44037i	0.284184	−	0.0889913i
$753$	16.6352	−	14.2248i	0.606222	−	0.518381i
$754$	−15.6057	+	18.1734i	−0.568328	+	0.661838i
$755$	18.0759			0.657849
$756$	26.8824	−	5.77389i	0.977703	−	0.209994i
$757$	2.47427			0.0899289			0.0449645	−	0.998989i	$-0.485683\pi$
$757$	2.47427			0.0899289			0.0449645	+	0.998989i	$0.485683\pi$
$758$	5.15821	−	6.00692i	0.187354	−	0.218181i
$759$	25.5756	−	21.8697i	0.928335	−	0.793820i
$760$	−9.05423	+	14.5128i	−0.328432	+	0.526435i
$761$	38.9915	+	22.5118i	1.41344	+	0.816051i	0.995711	−	0.0925199i	$-0.0294922\pi$
$761$	38.9915	+	22.5118i	1.41344	+	0.816051i	0.417731	+	0.908571i	$0.362826\pi$
$762$	−0.0864183	+	41.5130i	−0.00313060	+	1.50386i
$763$	−32.7481	+	20.3259i	−1.18556	+	0.735847i
$764$	−1.66240	−	10.8716i	−0.0601435	−	0.393320i
$765$	−29.8728	+	11.5075i	−1.08005	+	0.416055i
$766$	−34.8105	+	12.2225i	−1.25775	+	0.441617i
$767$	−22.4535	−	38.8906i	−0.810748	−	1.40426i
$768$	7.02799	−	26.8069i	0.253601	−	0.967309i
$769$	−7.14970	−	12.3836i	−0.257825	−	0.446566i	0.707834	−	0.706379i	$-0.249672\pi$
$769$	−7.14970	−	12.3836i	−0.257825	−	0.446566i	−0.965659	+	0.259813i	$0.916339\pi$
$770$	35.4594	−	13.7351i	1.27787	−	0.494978i
$771$	27.8488	−	5.17845i	1.00295	−	0.186497i
$772$	−3.64107	−	23.8115i	−0.131045	−	0.856995i
$773$	−42.1150	−	24.3151i	−1.51477	−	0.874553i	−0.999850	−	0.0173147i	$-0.994488\pi$
$773$	−42.1150	−	24.3151i	−1.51477	−	0.874553i	−0.514920	−	0.857238i	$-0.672178\pi$
$774$	−23.1196	+	4.24930i	−0.831018	+	0.152738i
$775$	0.723336	−	0.417618i	0.0259830	−	0.0150013i
$776$	−13.1793	−	24.7440i	−0.473108	−	0.888259i
$777$	−4.45197	−	4.88228i	−0.159714	−	0.175151i
$778$	8.90520	+	1.67510i	0.319267	+	0.0600553i
$779$	6.37281	−	11.0380i	0.228330	−	0.395478i
$780$	−41.0569	+	47.6113i	−1.47007	+	1.70476i
$781$	−15.9971	−	27.7078i	−0.572421	−	0.991463i
$782$	28.3517	+	5.33305i	1.01385	+	0.190710i
$783$	−0.389335	−	13.9266i	−0.0139137	−	0.497696i
$784$	−21.7728	−	17.6053i	−0.777600	−	0.628759i
$785$	24.8697	+	14.3585i	0.887639	+	0.512478i
$786$	−6.39364	+	11.0211i	−0.228054	+	0.393108i
$787$		−	38.9653i		−	1.38896i	−0.719510	−	0.694482i	$-0.755634\pi$
$787$		−	38.9653i		−	1.38896i	0.719510	−	0.694482i	$-0.244366\pi$
$788$	22.1640	−	3.38915i	0.789560	−	0.120733i
$789$	−29.1617	−	10.3074i	−1.03819	−	0.366952i
$790$	−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
$794$	−6.03727	+	32.0955i	−0.214255	+	1.13902i
$795$	−10.6252	−	3.75554i	−0.376838	−	0.133195i
$796$	13.1834	−	33.8031i	0.467275	−	1.19812i
$797$	−26.8665	+	15.5114i	−0.951662	+	0.549442i	−0.893597	−	0.448871i	$-0.851826\pi$
$797$	−26.8665	+	15.5114i	−0.951662	+	0.549442i	−0.0580649	+	0.998313i	$0.518493\pi$
$798$	−13.6369	+	0.406525i	−0.482742	+	0.0143908i
$799$	−6.56725	−	3.79161i	−0.232333	−	0.134137i
$800$	2.15807	+	18.2752i	0.0762993	+	0.646127i
$801$	−9.12041	−	23.6760i	−0.322254	−	0.836550i
$802$	−15.3852	−	43.8180i	−0.543269	−	1.54727i
$803$	−41.4748			−1.46361
$804$	−16.6188	+	19.2718i	−0.586099	+	0.679665i
$805$	41.7215	−	1.33068i	1.47049	−	0.0469002i
$806$	2.25432	+	0.424046i	0.0794052	+	0.0149364i
$807$	16.2264	−	3.01729i	0.571197	−	0.106213i
$808$	−1.45844	+	42.6352i	−0.0513077	+	1.49990i
$809$	−5.35787	−	3.09337i	−0.188373	−	0.108757i	0.402848	−	0.915267i	$-0.368020\pi$
$809$	−5.35787	−	3.09337i	−0.188373	−	0.108757i	−0.591221	+	0.806510i	$0.701354\pi$
$810$	−0.945729	−	36.5528i	−0.0332295	−	1.28433i
$811$		−	6.48257i		−	0.227634i	−0.993502	−	0.113817i	$-0.963692\pi$
$811$		−	6.48257i		−	0.227634i	0.993502	−	0.113817i	$-0.0363077\pi$
$812$	−10.7851	+	9.21806i	−0.378482	+	0.323491i
$813$	−0.671490	+	1.89979i	−0.0235502	+	0.0666285i
$814$	6.80615	−	2.38974i	0.238555	−	0.0837604i
$815$	36.2325			1.26917
$816$	−22.7385	+	12.0504i	−0.796008	+	0.421848i
$817$	11.6639			0.408068
$818$	7.84081	+	6.73299i	0.274148	+	0.235414i
$819$	−49.7576	−	6.20261i	−1.73867	−	0.216737i
$820$	−5.25821	−	34.3871i	−0.183625	−	1.20085i
$821$		−	26.5139i		−	0.925341i	−0.886530	−	0.462670i	$-0.846891\pi$
$821$		−	26.5139i		−	0.925341i	0.886530	−	0.462670i	$-0.153109\pi$
$822$	−27.8226	+	15.9863i	−0.970425	+	0.557585i
$823$		−	25.8006i		−	0.899353i	−0.893192	−	0.449676i	$-0.851539\pi$
$823$		−	25.8006i		−	0.899353i	0.893192	−	0.449676i	$-0.148461\pi$
$824$	3.60007	−	1.91748i	0.125414	−	0.0667986i
$825$	−3.64404	−	19.5970i	−0.126869	−	0.682280i
$826$	−9.60693	−	24.8019i	−0.334268	−	0.862967i
$827$	−40.3698			−1.40379			−0.701897	−	0.712278i	$-0.747663\pi$
$827$	−40.3698			−1.40379			−0.701897	+	0.712278i	$0.747663\pi$
$828$	−16.5944	+	28.4679i	−0.576695	+	0.989330i
$829$	−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	$0.327834\pi$
$830$	−43.8848	−	8.25489i	−1.52326	−	0.286531i
$831$	38.7691	+	13.7031i	1.34489	+	0.475357i
$832$	−28.2014	+	41.9390i	−0.977707	+	1.45397i
$833$	1.65688	+	25.9481i	0.0574075	+	0.899048i
$834$	−9.51902	+	5.46942i	−0.329617	+	0.189391i
$835$			25.7460i			0.890977i
$836$	5.41197	−	13.8766i	0.187177	−	0.479933i
$837$	−1.13629	+	0.699089i	−0.0392760	+	0.0241641i
$838$	−2.29899	+	12.2219i	−0.0794172	+	0.422200i
$839$	−6.10301	+	10.5707i	−0.210699	+	0.364942i	−0.951934	−	0.306305i	$-0.900907\pi$
$839$	−6.10301	+	10.5707i	−0.210699	+	0.364942i	0.741234	+	0.671246i	$0.234241\pi$
$840$	−28.3560	+	24.1341i	−0.978376	+	0.832705i
$841$	−10.9055	−	18.8889i	−0.376053	−	0.651342i
$842$	−49.7926	+	17.4829i	−1.71597	+	0.602502i
$843$	11.9787	−	2.22743i	0.412569	−	0.0767168i
$844$	−2.29662	−	2.86728i	−0.0790531	−	0.0986960i
$845$	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
$849$	21.4300	+	25.0614i	0.735477	+	0.860105i
$850$	11.1327	−	12.9644i	0.381848	−	0.444676i
$851$	7.91843			0.271440
$852$	23.7258	+	20.4596i	0.812832	+	0.700933i
$853$	−4.47707	+	7.75452i	−0.153292	+	0.265510i	−0.932436	−	0.361336i	$-0.882321\pi$
$853$	−4.47707	+	7.75452i	−0.153292	+	0.265510i	0.779144	+	0.626845i	$0.215654\pi$
$854$	−7.66381	−	19.7854i	−0.262250	−	0.677042i
$855$	−2.81709	+	17.9232i	−0.0963423	+	0.612959i
$856$	−10.3320	−	0.353430i	−0.353140	−	0.0120800i
$857$	−14.0612	+	8.11822i	−0.480320	+	0.277313i	−0.720550	−	0.693403i	$-0.756111\pi$
$857$	−14.0612	+	8.11822i	−0.480320	+	0.277313i	0.240230	+	0.970716i	$0.422777\pi$
$858$	27.4701	−	47.3517i	0.937814	−	1.61656i
$859$	−29.2919	−	16.9117i	−0.999426	−	0.577019i	−0.0913477	−	0.995819i	$-0.529117\pi$
$859$	−29.2919	−	16.9117i	−0.999426	−	0.577019i	−0.908078	+	0.418800i	$0.862451\pi$
$860$	24.8467	−	19.9016i	0.847264	−	0.678638i
$861$	20.5014	−	18.6945i	0.698685	−	0.637106i
$862$	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	$0.721530\pi$
$864$	−4.26149	−	29.0833i	−0.144979	−	0.989435i
$865$	−9.05560	+	15.6848i	−0.307900	+	0.533298i
$866$	44.0422	+	37.8195i	1.49662	+	1.28516i
$867$	−5.23077	−	1.84884i	−0.177646	−	0.0627899i
$868$	1.28084	+	0.453050i	0.0434746	+	0.0153775i
$869$	37.9370	−	21.9029i	1.28692	−	0.743005i
$870$	9.39976	+	16.3594i	0.318682	+	0.554636i
$871$	40.1908	−	23.2042i	1.36181	−	0.786243i
$872$	19.3702	+	36.3676i	0.655959	+	1.23156i
$873$	−23.1309	−	18.6859i	−0.782864	−	0.632423i
$874$	10.6518	−	12.4044i	0.360302	−	0.419584i
$875$	−6.26901	+	11.7048i	−0.211931	+	0.395694i
$876$	38.3471	−	13.3746i	1.29563	−	0.451887i
$877$	11.1716	−	19.3497i	0.377237	−	0.653394i	−0.613422	−	0.789755i	$-0.710207\pi$
$877$	11.1716	−	19.3497i	0.377237	−	0.653394i	0.990659	+	0.136361i	$0.0435408\pi$
$878$	35.9566	−	41.8727i	1.21348	−	1.41314i
$879$	−8.73817	+	24.7221i	−0.294731	+	0.833857i
$880$	−12.1484	−	38.7945i	−0.409521	−	1.30776i
$881$			50.5729i			1.70384i	0.523669	+	0.851922i	$0.324563\pi$
$881$			50.5729i			1.70384i	−0.523669	+	0.851922i	$0.675437\pi$
$882$	−28.5577	−	8.15208i	−0.961589	−	0.274495i
$883$			48.7254i			1.63974i	0.572549	+	0.819870i	$0.305954\pi$
$883$			48.7254i			1.63974i	−0.572549	+	0.819870i	$0.694046\pi$
$884$	46.3916	−	7.09385i	1.56032	−	0.238592i
$885$	−34.7747	+	6.46632i	−1.16894	+	0.217363i
$886$	−15.6884	−	13.4718i	−0.527063	−	0.452595i
$887$	14.2298	−	24.6468i	0.477791	−	0.827558i	−0.521885	−	0.853016i	$-0.674771\pi$
$887$	14.2298	−	24.6468i	0.477791	−	0.827558i	0.999676	+	0.0254580i	$0.00810442\pi$
$888$	−5.52224	+	4.40434i	−0.185314	+	0.147800i
$889$	21.1704	−	39.5269i	0.710031	−	1.32569i
$890$	26.0680	+	22.3848i	0.873800	+	0.750342i
$891$	6.69311	+	31.1274i	0.224228	+	1.04281i
$892$	−3.38995	+	8.69202i	−0.113504	+	0.291030i
$893$	−3.72201	+	2.14890i	−0.124552	+	0.0719103i
$894$	−17.8928	−	10.3801i	−0.598425	−	0.347164i
$895$	35.8009	−	20.6697i	1.19669	−	0.690911i
$896$	−20.3167	+	21.9826i	−0.678732	+	0.734386i
$897$	45.6718	−	39.0540i	1.52494	−	1.30397i
$898$	−4.51070	+	5.25288i	−0.150524	+	0.175291i
$899$	0.344205	−	0.596181i	0.0114799	−	0.0198837i
$900$	9.68879	+	16.9440i	0.322960	+	0.564800i
$901$	4.20624	+	7.28541i	0.140130	+	0.242712i
$902$	10.0349	+	28.5800i	0.334124	+	0.951609i
$903$	24.1965	+	7.69392i	0.805210	+	0.256038i
$904$	−1.36710	+	39.9651i	−0.0454692	+	1.32922i
$905$	−59.2890	−	34.2305i	−1.97083	−	1.13786i
$906$	13.3635	−	7.67835i	0.443971	−	0.255096i
$907$	14.4058	−	8.31721i	0.478338	−	0.276168i	−0.241386	−	0.970429i	$-0.577602\pi$
$907$	14.4058	−	8.31721i	0.478338	−	0.276168i	0.719723	+	0.694261i	$0.244269\pi$
$908$	20.6289	−	16.5232i	0.684594	−	0.548343i
$909$	16.2652	+	42.2234i	0.539483	+	1.40046i
$910$	63.3218	−	24.5275i	2.09910	−	0.813080i
$911$	20.7017	−	35.8564i	0.685877	−	1.18797i	−0.287283	−	0.957846i	$-0.592752\pi$
$911$	20.7017	−	35.8564i	0.685877	−	1.18797i	0.973160	−	0.230129i	$-0.0739147\pi$
$912$	−0.528965	+	14.5754i	−0.0175158	+	0.482638i
$913$	38.8827			1.28683
$914$	31.1311	+	26.7326i	1.02972	+	0.884236i
$915$	−27.7411	+	5.15843i	−0.917093	+	0.170533i
$916$	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	−0.925664	−	0.378346i	$-0.876493\pi$
$919$	−32.1594	+	18.5672i	−1.06084	+	0.612476i	−0.135175	+	0.990822i	$0.543160\pi$
$920$	1.52561	−	44.5987i	0.0502978	−	1.47038i
$921$	16.7145	+	19.5469i	0.550763	+	0.644091i
$922$	3.57074	+	10.1697i	0.117596	+	0.334921i
$923$	−28.5669	−	49.4794i	−0.940292	−	1.62863i
$924$	20.3806	−	25.2169i	0.670471	−	0.829574i
$925$	2.34521	−	4.06202i	0.0771099	−	0.133558i
$926$	−18.3646	−	3.45444i	−0.603497	−	0.113520i
$927$	2.71866	−	3.36538i	0.0892926	−	0.110533i
$928$	9.07172	+	12.1553i	0.297794	+	0.399016i
$929$			33.5384i			1.10036i	0.835046	+	0.550180i	$0.185441\pi$
$929$			33.5384i			1.10036i	−0.835046	+	0.550180i	$0.814559\pi$
$930$	0.906630	−	1.56281i	0.0297296	−	0.0512465i
$931$	13.2054	+	6.53984i	0.432790	+	0.214335i
$932$	8.02813	+	10.0229i	0.262970	+	0.328312i
$933$	8.50574	−	7.27327i	0.278466	−	0.238116i
$934$	2.46559	−	13.1076i	0.0806765	−	0.428894i
$935$	−18.8749	+	32.6923i	−0.617275	+	1.06915i
$936$	−10.1287	+	52.6392i	−0.331067	+	1.72057i
$937$	20.2579			0.661796			0.330898	−	0.943666i	$-0.392648\pi$
$937$	20.2579			0.661796			0.330898	+	0.943666i	$0.392648\pi$
$938$	25.6311	−	9.92812i	0.836884	−	0.324164i
$939$	−16.1003	+	13.7674i	−0.525413	+	0.449281i
$940$	−4.26212	+	10.9283i	−0.139015	+	0.356443i
$941$			7.87319i			0.256659i	0.991732	+	0.128329i	$0.0409615\pi$
$941$			7.87319i			0.256659i	−0.991732	+	0.128329i	$0.959039\pi$
$942$	24.4854	+	0.0509716i	0.797777	+	0.00166075i
$943$			33.2506i			1.08279i
$944$	−27.1346	+	8.49710i	−0.883155	+	0.276557i
$945$	−17.6668	+	35.3231i	−0.574700	+	1.14906i
$946$	−18.0588	+	21.0301i	−0.587141	+	0.683747i
$947$	−35.4032			−1.15045			−0.575225	−	0.817995i	$-0.695086\pi$
$947$	−35.4032			−1.15045			−0.575225	+	0.817995i	$0.695086\pi$
$948$	−28.0128	+	32.4849i	−0.909815	+	1.05506i
$949$	−74.0640			−2.40422
$950$	−3.20848	−	9.13798i	−0.104097	−	0.296475i
$951$	−22.5466	−	26.3671i	−0.731123	−	0.855013i
$952$	27.7961	+	0.0642244i	0.900877	+	0.00208153i
$953$			23.9458i			0.775681i	0.921727	+	0.387840i	$0.126779\pi$
$953$			23.9458i			0.775681i	−0.921727	+	0.387840i	$0.873221\pi$
$954$	−9.45049	+	1.73696i	−0.305971	+	0.0562363i
$955$	13.6811	+	7.89878i	0.442710	+	0.255599i
$956$	−17.2159	+	13.7895i	−0.556801	+	0.445984i
$957$	−10.6771	−	12.4863i	−0.345141	−	0.403626i
$958$	−1.03011	+	5.47630i	−0.0332814	+	0.176931i
$959$	34.6417	−	1.10487i	1.11864	−	0.0356782i
$960$	23.7425	+	31.9513i	0.766286	+	1.03122i
$961$	30.9341			0.997873
$962$	12.1541	−	4.26750i	0.391865	−	0.137590i
$963$	−10.2322	+	3.94162i	−0.329728	+	0.127017i
$964$	−6.43182	+	5.15173i	−0.207155	+	0.165926i
$965$	29.9650	+	17.3003i	0.964609	+	0.556917i
$966$	30.2793	−	18.7064i	0.974220	−	0.601867i
$967$	2.20834	−	1.27499i	0.0710154	−	0.0410008i	−0.464072	−	0.885798i	$-0.653612\pi$
$967$	2.20834	−	1.27499i	0.0710154	−	0.0410008i	0.535087	+	0.844797i	$0.320279\pi$
$968$	2.01438	+	3.78199i	0.0647446	+	0.121558i
$969$	10.2935	−	8.80198i	0.330675	−	0.282760i
$970$	39.5756	+	7.44432i	1.27070	+	0.239023i
$971$	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
$975$	−6.50737	−	34.9955i	−0.208403	−	1.12075i
$976$	−21.6463	+	6.77846i	−0.692881	+	0.216973i
$977$			15.3282i			0.490391i	0.969474	+	0.245196i	$0.0788522\pi$
$977$			15.3282i			0.490391i	−0.969474	+	0.245196i	$0.921148\pi$
$978$	26.7865	−	15.3910i	0.856539	−	0.492148i
$979$	−25.9106	−	14.9595i	−0.828107	−	0.478108i
$980$	39.2891	−	8.60052i	1.25505	−	0.274733i
$981$	33.9967	+	27.4637i	1.08543	+	0.876848i
$982$	−8.07069	+	42.9056i	−0.257546	+	1.36917i
$983$	−4.36785	−	7.56535i	−0.139313	−	0.241297i	0.787924	−	0.615773i	$-0.211156\pi$
$983$	−4.36785	−	7.56535i	−0.139313	−	0.241297i	−0.927237	+	0.374476i	$0.877823\pi$
$984$	−18.4945	−	23.1887i	−0.589582	−	0.739228i
$985$	−16.1033	+	27.8918i	−0.513095	+	0.888706i
$986$	2.60367	−	13.8417i	0.0829177	−	0.440809i
$987$	−9.13874	+	2.00269i	−0.290889	+	0.0637463i
$988$	9.66447	−	24.7803i	0.307468	−	0.788365i
$989$	−26.3519	+	15.2143i	−0.837943	+	0.483787i
$990$	−27.9540	−	32.8290i	−0.888436	−	1.04337i
$991$	14.8582	+	8.57839i	0.471986	+	0.272501i	0.717071	−	0.697000i	$-0.245482\pi$
$991$	14.8582	+	8.57839i	0.471986	+	0.272501i	−0.245084	+	0.969502i	$0.578816\pi$
$992$	0.573686	−	1.33431i	0.0182146	−	0.0423644i
$993$	−30.9731	−	36.2215i	−0.982900	−	1.14946i
$994$	−12.2226	−	31.5547i	−0.387678	−	1.00085i
$995$	26.0586	+	45.1348i	0.826113	+	1.43087i
$996$	−35.9504	+	12.5387i	−1.13913	+	0.397305i
$997$	−8.43829	−	14.6155i	−0.267243	−	0.462879i	0.700906	−	0.713254i	$-0.252779\pi$
$997$	−8.43829	−	14.6155i	−0.267243	−	0.462879i	−0.968149	+	0.250375i	$0.919446\pi$
$998$	−2.40228	−	6.84185i	−0.0760427	−	0.216575i
$999$	−3.56322	+	6.59041i	−0.112735	+	0.208511i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bb.a.11.11	yes	88
3.2	odd	2		756.2.bb.a.683.34		88
4.3	odd	2	inner	252.2.bb.a.11.34	yes	88
7.2	even	3		252.2.o.a.191.19	yes	88
9.4	even	3		756.2.o.a.179.41		88
9.5	odd	6		252.2.o.a.95.4	✓	88
12.11	even	2		756.2.bb.a.683.11		88
21.2	odd	6		756.2.o.a.359.26		88
28.23	odd	6		252.2.o.a.191.4	yes	88
36.23	even	6		252.2.o.a.95.19	yes	88
36.31	odd	6		756.2.o.a.179.26		88
63.23	odd	6	inner	252.2.bb.a.23.34	yes	88
63.58	even	3		756.2.bb.a.611.11		88
84.23	even	6		756.2.o.a.359.41		88
252.23	even	6	inner	252.2.bb.a.23.11	yes	88
252.247	odd	6		756.2.bb.a.611.34		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.4	✓	88	9.5	odd	6
252.2.o.a.95.19	yes	88	36.23	even	6
252.2.o.a.191.4	yes	88	28.23	odd	6
252.2.o.a.191.19	yes	88	7.2	even	3
252.2.bb.a.11.11	yes	88	1.1	even	1	trivial
252.2.bb.a.11.34	yes	88	4.3	odd	2	inner
252.2.bb.a.23.11	yes	88	252.23	even	6	inner
252.2.bb.a.23.34	yes	88	63.23	odd	6	inner
756.2.o.a.179.26		88	36.31	odd	6
756.2.o.a.179.41		88	9.4	even	3
756.2.o.a.359.26		88	21.2	odd	6
756.2.o.a.359.41		88	84.23	even	6
756.2.bb.a.611.11		88	63.58	even	3
756.2.bb.a.611.34		88	252.247	odd	6
756.2.bb.a.683.11		88	12.11	even	2
756.2.bb.a.683.34		88	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.07292 - 0.921328i) q^{2} +(1.31640 - 1.12565i) q^{3} +(0.302311 + 1.97702i) q^{4} +(-2.48793 - 1.43641i) q^{5} +(-2.44948 - 0.00509913i) q^{6} +(2.33229 + 1.24916i) q^{7} +(1.49713 - 2.39971i) q^{8} +(0.465809 - 2.96362i) q^{9} +O(q^{10})\)	\(q+(-1.07292 - 0.921328i) q^{2} +(1.31640 - 1.12565i) q^{3} +(0.302311 + 1.97702i) q^{4} +(-2.48793 - 1.43641i) q^{5} +(-2.44948 - 0.00509913i) q^{6} +(2.33229 + 1.24916i) q^{7} +(1.49713 - 2.39971i) q^{8} +(0.465809 - 2.96362i) q^{9} +(1.34595 + 3.83335i) q^{10} +(-1.76883 - 3.06370i) q^{11} +(2.62340 + 2.26225i) q^{12} +(-3.15869 - 5.47102i) q^{13} +(-1.35148 - 3.48906i) q^{14} +(-4.89201 + 0.909664i) q^{15} +(-3.81722 + 1.19535i) q^{16} +(3.21678 + 1.85721i) q^{17} +(-3.23024 + 2.75056i) q^{18} +(1.82312 - 1.05258i) q^{19} +(2.08768 - 5.35294i) q^{20} +(4.47635 - 0.980961i) q^{21} +(-0.924861 + 4.91677i) q^{22} +(-2.74595 + 4.75613i) q^{23} +(-0.730424 - 4.84422i) q^{24} +(1.62654 + 2.81725i) q^{25} +(-1.65158 + 8.78015i) q^{26} +(-2.72282 - 4.42564i) q^{27} +(-1.76454 + 4.98863i) q^{28} +(2.32201 + 1.34061i) q^{29} +(6.08683 + 3.53115i) q^{30} -0.256752i q^{31} +(5.19687 + 2.23440i) q^{32} +(-5.77714 - 2.04196i) 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} +(-2.92583 - 0.550359i) q^{38} +(-10.3166 - 3.64644i) q^{39} +(-7.17172 + 3.81983i) q^{40} +(5.24333 - 3.02724i) q^{41} +(-5.70655 - 3.07169i) q^{42} +(4.79832 + 2.77031i) q^{43} +(5.52225 - 4.42319i) q^{44} +(-5.41587 + 6.70419i) q^{45} +(7.32814 - 2.57302i) q^{46} -2.04156 q^{47} +(-3.67943 + 5.87042i) q^{48} +(3.87919 + 5.82682i) q^{49} +(0.850465 - 4.52126i) q^{50} +(6.32514 - 1.17615i) q^{51} +(9.86141 - 7.89875i) q^{52} +(1.96139 + 1.13241i) q^{53} +(-1.15610 + 7.25696i) q^{54} +10.1630i q^{55} +(6.48937 - 3.72667i) q^{56} +(1.21511 - 3.43781i) q^{57} +(-1.25618 - 3.57770i) q^{58} +7.10847 q^{59} +(-3.27733 - 9.39660i) q^{60} +5.67070 q^{61} +(-0.236553 + 0.275474i) q^{62} +(4.78844 - 6.33015i) q^{63} +(-3.51721 - 7.18535i) q^{64} +18.1487i q^{65} +(4.31709 + 7.51349i) q^{66} +7.34613i q^{67} +(-2.69927 + 6.92110i) q^{68} +(1.73899 + 9.35196i) q^{69} +(-1.64933 + 10.6218i) q^{70} +9.04391 q^{71} +(-6.41444 - 5.55472i) q^{72} +(5.86192 - 10.1531i) q^{73} +(-0.376944 + 2.00392i) q^{74} +(5.31243 + 1.87770i) q^{75} +(2.63212 + 3.28614i) q^{76} +(-0.298371 - 9.35499i) q^{77} +(7.70927 + 13.4173i) q^{78} +12.3827i q^{79} +(11.2140 + 2.50914i) q^{80} +(-8.56604 - 2.76096i) q^{81} +(-8.41474 - 1.58284i) q^{82} +(-5.49556 + 9.51858i) q^{83} +(3.29263 + 8.55328i) q^{84} +(-5.33543 - 9.24123i) q^{85} +(-2.59585 - 7.39315i) q^{86} +(4.56575 - 0.848997i) q^{87} +(-10.0001 - 0.342079i) 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} +(-0.289014 - 0.337988i) q^{93} +(2.19043 + 1.88095i) q^{94} -6.04773 q^{95} +(9.35631 - 2.90852i) q^{96} +(4.95593 - 8.58392i) q^{97} +(1.20636 - 9.82572i) q^{98} +(-9.90355 + 3.81502i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

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