LMFDB - Embedded newform 165.2.p.b.101.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(41,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 3]))

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

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

chi := DirichletCharacter("165.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.p (of order $10$, degree $4$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			101.7
Character	$\chi$	$=$	165.101
Dual form			165.2.p.b.116.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0403345 - 0.124137i) q^{2} +(-1.72819 + 0.115636i) q^{3} +(1.60425 + 1.16556i) q^{4} +(0.951057 - 0.309017i) q^{5} +(-0.0553509 + 0.219196i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(0.420589 - 0.305576i) q^{8} +(2.97326 - 0.399681i) q^{9} +O(q^{10})$	\(q+(0.0403345 - 0.124137i) q^{2} +(-1.72819 + 0.115636i) q^{3} +(1.60425 + 1.16556i) q^{4} +(0.951057 - 0.309017i) q^{5} +(-0.0553509 + 0.219196i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(0.420589 - 0.305576i) q^{8} +(2.97326 - 0.399681i) q^{9} -0.130525i q^{10} +(1.12707 + 3.11925i) q^{11} +(-2.90722 - 1.82879i) q^{12} +(4.12821 + 1.34134i) q^{13} +(0.196231 + 0.270088i) q^{14} +(-1.60787 + 0.644015i) q^{15} +(1.20457 + 3.70728i) q^{16} +(-1.85931 - 5.72238i) q^{17} +(0.0703097 - 0.385212i) q^{18} +(-0.284091 - 0.391017i) q^{19} +(1.88591 + 0.612769i) q^{20} +(2.35886 - 3.74988i) q^{21} +(0.432673 - 0.0140982i) q^{22} +4.22749i q^{23} +(-0.691521 + 0.576728i) q^{24} +(0.809017 - 0.587785i) q^{25} +(0.333019 - 0.458361i) q^{26} +(-5.09212 + 1.03454i) q^{27} +(-4.82364 + 1.56729i) q^{28} +(-8.15082 - 5.92192i) q^{29} +(0.0150934 + 0.225572i) q^{30} +(2.89135 - 8.89865i) q^{31} +1.54855 q^{32} +(-2.30849 - 5.26031i) q^{33} -0.785353 q^{34} +(-0.790380 + 2.43254i) q^{35} +(5.23570 + 2.82431i) q^{36} +(-4.66136 - 3.38667i) q^{37} +(-0.0599983 + 0.0194946i) q^{38} +(-7.28943 - 1.84071i) q^{39} +(0.305576 - 0.420589i) q^{40} +(-3.66070 + 2.65965i) q^{41} +(-0.370355 - 0.444071i) q^{42} -4.35604i q^{43} +(-1.82755 + 6.31772i) q^{44} +(2.70423 - 1.29891i) q^{45} +(0.524787 + 0.170514i) q^{46} +(-0.504824 - 0.694830i) q^{47} +(-2.51042 - 6.26759i) q^{48} +(0.141546 + 0.435633i) q^{49} +(-0.0403345 - 0.124137i) q^{50} +(3.87495 + 9.67434i) q^{51} +(5.05929 + 6.96351i) q^{52} +(8.89730 + 2.89091i) q^{53} +(-0.0769640 + 0.673848i) q^{54} +(2.03581 + 2.61830i) q^{55} +1.32970i q^{56} +(0.536178 + 0.642900i) q^{57} +(-1.06389 + 0.772959i) q^{58} +(4.80009 - 6.60676i) q^{59} +(-3.33006 - 0.840901i) q^{60} +(4.13344 - 1.34304i) q^{61} +(-0.988029 - 0.717845i) q^{62} +(-3.64293 + 6.75326i) q^{63} +(-2.34668 + 7.22234i) q^{64} +4.34066 q^{65} +(-0.746110 + 0.0743969i) q^{66} +4.84220 q^{67} +(3.68695 - 11.3473i) q^{68} +(-0.488850 - 7.30589i) q^{69} +(0.270088 + 0.196231i) q^{70} +(-1.92221 + 0.624564i) q^{71} +(1.12839 - 1.07666i) q^{72} +(-0.412774 + 0.568135i) q^{73} +(-0.608425 + 0.442046i) q^{74} +(-1.33016 + 1.10935i) q^{75} -0.958414i q^{76} +(-8.14891 - 2.35726i) q^{77} +(-0.522516 + 0.830643i) q^{78} +(-9.67436 - 3.14339i) q^{79} +(2.29123 + 3.15360i) q^{80} +(8.68051 - 2.37671i) q^{81} +(0.182508 + 0.561703i) q^{82} +(-0.211827 - 0.651936i) q^{83} +(8.15491 - 3.26636i) q^{84} +(-3.53663 - 4.86775i) q^{85} +(-0.540745 - 0.175699i) q^{86} +(14.7709 + 9.29165i) q^{87} +(1.42720 + 0.967515i) q^{88} +5.26944i q^{89} +(-0.0521684 - 0.388085i) q^{90} +(-8.98188 + 6.52572i) q^{91} +(-4.92738 + 6.78196i) q^{92} +(-3.96778 + 15.7129i) q^{93} +(-0.106616 + 0.0346416i) q^{94} +(-0.391017 - 0.284091i) q^{95} +(-2.67618 + 0.179068i) q^{96} +(2.30394 - 7.09081i) q^{97} +0.0597872 q^{98} +(4.59779 + 8.82385i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9}+O(q^{10}) $ 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9	$ 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9} + 8 q^{12} + 6 q^{15} + 32 q^{16} - 30 q^{18} - 100 q^{19} - 82 q^{22} + 100 q^{24} + 12 q^{25} + 14 q^{27} + 30 q^{28} + 10 q^{30} + 10 q^{31} - 46 q^{33} - 28 q^{34} + 14 q^{36} + 6 q^{37} - 50 q^{40} - 52 q^{42} + 32 q^{45} + 20 q^{46} - 80 q^{48} - 26 q^{49} - 30 q^{51} + 40 q^{52} + 6 q^{55} - 70 q^{57} + 92 q^{58} + 44 q^{60} + 70 q^{61} - 20 q^{63} + 18 q^{64} + 76 q^{66} + 20 q^{67} + 42 q^{69} - 4 q^{70} - 80 q^{72} + 90 q^{73} - 6 q^{75} - 108 q^{78} - 100 q^{79} + 38 q^{81} - 34 q^{82} + 70 q^{84} + 20 q^{85} + 74 q^{88} + 20 q^{90} - 86 q^{91} + 76 q^{93} + 10 q^{94} - 30 q^{96} + 6 q^{97} - 28 q^{99}+O(q^{100}) $ 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9 + 8 * q^12 + 6 * q^15 + 32 * q^16 - 30 * q^18 - 100 * q^19 - 82 * q^22 + 100 * q^24 + 12 * q^25 + 14 * q^27 + 30 * q^28 + 10 * q^30 + 10 * q^31 - 46 * q^33 - 28 * q^34 + 14 * q^36 + 6 * q^37 - 50 * q^40 - 52 * q^42 + 32 * q^45 + 20 * q^46 - 80 * q^48 - 26 * q^49 - 30 * q^51 + 40 * q^52 + 6 * q^55 - 70 * q^57 + 92 * q^58 + 44 * q^60 + 70 * q^61 - 20 * q^63 + 18 * q^64 + 76 * q^66 + 20 * q^67 + 42 * q^69 - 4 * q^70 - 80 * q^72 + 90 * q^73 - 6 * q^75 - 108 * q^78 - 100 * q^79 + 38 * q^81 - 34 * q^82 + 70 * q^84 + 20 * q^85 + 74 * q^88 + 20 * q^90 - 86 * q^91 + 76 * q^93 + 10 * q^94 - 30 * q^96 + 6 * q^97 - 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$-1$	$1$

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 $

$2$	0.0403345	−	0.124137i	0.0285208	−	0.0877780i	−0.935783	−	0.352577i	$-0.885306\pi$
$2$	0.0403345	−	0.124137i	0.0285208	−	0.0877780i	0.964304	+	0.264799i	$0.0853055\pi$
$3$	−1.72819	+	0.115636i	−0.997769	+	0.0667624i
$3$	−1.72819	+	0.115636i	−0.997769	+	0.0667624i
$4$	1.60425	+	1.16556i	0.802125	+	0.582778i
$5$	0.951057	−	0.309017i	0.425325	−	0.138197i
$5$	0.951057	−	0.309017i	0.425325	−	0.138197i
$6$	−0.0553509	+	0.219196i	−0.0225969	+	0.0894863i
$7$	−1.50339	+	2.06924i	−0.568229	+	0.782100i	−0.992343	−	0.123509i	$-0.960585\pi$
$7$	−1.50339	+	2.06924i	−0.568229	+	0.782100i	0.424115	+	0.905608i	$0.360585\pi$
$8$	0.420589	−	0.305576i	0.148701	−	0.108037i
$9$	2.97326	−	0.399681i	0.991086	−	0.133227i
$10$		−	0.130525i		−	0.0412757i
$11$	1.12707	+	3.11925i	0.339826	+	0.940488i
$11$	1.12707	+	3.11925i	0.339826	+	0.940488i
$12$	−2.90722	−	1.82879i	−0.839244	−	0.527926i
$13$	4.12821	+	1.34134i	1.14496	+	0.372020i	0.819243	−	0.573447i	$-0.194394\pi$
$13$	4.12821	+	1.34134i	1.14496	+	0.372020i	0.325718	+	0.945467i	$0.394394\pi$
$14$	0.196231	+	0.270088i	0.0524448	+	0.0721841i
$15$	−1.60787	+	0.644015i	−0.415150	+	0.166284i
$16$	1.20457	+	3.70728i	0.301142	+	0.926821i
$17$	−1.85931	−	5.72238i	−0.450950	−	1.38788i	−0.875825	−	0.482629i	$-0.839682\pi$
$17$	−1.85931	−	5.72238i	−0.450950	−	1.38788i	0.424875	−	0.905252i	$-0.360318\pi$
$18$	0.0703097	−	0.385212i	0.0165722	−	0.0907952i
$19$	−0.284091	−	0.391017i	−0.0651749	−	0.0897056i	0.775185	−	0.631734i	$-0.217656\pi$
$19$	−0.284091	−	0.391017i	−0.0651749	−	0.0897056i	−0.840360	+	0.542028i	$0.817656\pi$
$20$	1.88591	+	0.612769i	0.421702	+	0.137019i
$21$	2.35886	−	3.74988i	0.514746	−	0.818291i
$22$	0.432673	−	0.0140982i	0.0922463	−	0.00300575i
$23$			4.22749i			0.881493i	0.897632	+	0.440746i	$0.145286\pi$
$23$			4.22749i			0.881493i	−0.897632	+	0.440746i	$0.854714\pi$
$24$	−0.691521	+	0.576728i	−0.141156	+	0.117724i
$25$	0.809017	−	0.587785i	0.161803	−	0.117557i
$26$	0.333019	−	0.458361i	0.0653104	−	0.0898920i
$27$	−5.09212	+	1.03454i	−0.979980	+	0.199097i
$28$	−4.82364	+	1.56729i	−0.911582	+	0.296191i
$29$	−8.15082	−	5.92192i	−1.51357	−	1.09967i	−0.964562	−	0.263855i	$-0.915006\pi$
$29$	−8.15082	−	5.92192i	−1.51357	−	1.09967i	−0.549007	−	0.835818i	$-0.684994\pi$
$30$	0.0150934	+	0.225572i	0.00275567	+	0.0411836i
$31$	2.89135	−	8.89865i	0.519301	−	1.59824i	−0.256017	−	0.966672i	$-0.582410\pi$
$31$	2.89135	−	8.89865i	0.519301	−	1.59824i	0.775318	−	0.631572i	$-0.217590\pi$
$32$	1.54855			0.273748
$33$	−2.30849	−	5.26031i	−0.401857	−	0.915702i
$34$	−0.785353			−0.134687
$35$	−0.790380	+	2.43254i	−0.133599	+	0.411174i
$36$	5.23570	+	2.82431i	0.872617	+	0.470718i
$37$	−4.66136	−	3.38667i	−0.766323	−	0.556766i	0.134521	−	0.990911i	$-0.457051\pi$
$37$	−4.66136	−	3.38667i	−0.766323	−	0.556766i	−0.900843	+	0.434145i	$0.857051\pi$
$38$	−0.0599983	+	0.0194946i	−0.00973301	+	0.00316245i
$39$	−7.28943	−	1.84071i	−1.16724	−	0.294750i
$40$	0.305576	−	0.420589i	0.0483158	−	0.0665010i
$41$	−3.66070	+	2.65965i	−0.571705	+	0.415368i	−0.835724	−	0.549149i	$-0.814952\pi$
$41$	−3.66070	+	2.65965i	−0.571705	+	0.415368i	0.264019	+	0.964517i	$0.414952\pi$
$42$	−0.370355	−	0.444071i	−0.0571470	−	0.0685217i
$43$		−	4.35604i		−	0.664289i	−0.943228	−	0.332145i	$-0.892228\pi$
$43$		−	4.35604i		−	0.664289i	0.943228	−	0.332145i	$-0.107772\pi$
$44$	−1.82755	+	6.31772i	−0.275513	+	0.952433i
$45$	2.70423	−	1.29891i	0.403122	−	0.193629i
$46$	0.524787	+	0.170514i	0.0773757	+	0.0251409i
$47$	−0.504824	−	0.694830i	−0.0736361	−	0.101351i	0.770610	−	0.637307i	$-0.219952\pi$
$47$	−0.504824	−	0.694830i	−0.0736361	−	0.101351i	−0.844246	+	0.535955i	$0.819952\pi$
$48$	−2.51042	−	6.26759i	−0.362347	−	0.904648i
$49$	0.141546	+	0.435633i	0.0202208	+	0.0622333i
$50$	−0.0403345	−	0.124137i	−0.00570416	−	0.0175556i
$51$	3.87495	+	9.67434i	0.542602	+	1.35468i
$52$	5.05929	+	6.96351i	0.701597	+	0.965665i
$53$	8.89730	+	2.89091i	1.22214	+	0.397097i	0.847860	−	0.530220i	$-0.177891\pi$
$53$	8.89730	+	2.89091i	1.22214	+	0.397097i	0.374278	+	0.927316i	$0.377891\pi$
$54$	−0.0769640	+	0.673848i	−0.0104735	+	0.0916991i
$55$	2.03581	+	2.61830i	0.274509	+	0.353051i
$56$			1.32970i			0.177689i
$57$	0.536178	+	0.642900i	0.0710184	+	0.0851542i
$58$	−1.06389	+	0.772959i	−0.139695	+	0.101495i
$59$	4.80009	−	6.60676i	0.624919	−	0.860127i	−0.372780	−	0.927920i	$-0.621595\pi$
$59$	4.80009	−	6.60676i	0.624919	−	0.860127i	0.997699	+	0.0677922i	$0.0215955\pi$
$60$	−3.33006	−	0.840901i	−0.429909	−	0.108560i
$61$	4.13344	−	1.34304i	0.529233	−	0.171958i	−0.0321984	−	0.999481i	$-0.510251\pi$
$61$	4.13344	−	1.34304i	0.529233	−	0.171958i	0.561431	+	0.827523i	$0.310251\pi$
$62$	−0.988029	−	0.717845i	−0.125480	−	0.0911664i
$63$	−3.64293	+	6.75326i	−0.458967	+	0.850831i
$64$	−2.34668	+	7.22234i	−0.293335	+	0.902792i
$65$	4.34066			0.538393
$66$	−0.746110	+	0.0743969i	−0.0918398	+	0.00915763i
$67$	4.84220			0.591569			0.295785	−	0.955255i	$-0.404419\pi$
$67$	4.84220			0.591569			0.295785	+	0.955255i	$0.404419\pi$
$68$	3.68695	−	11.3473i	0.447108	−	1.37606i
$69$	−0.488850	−	7.30589i	−0.0588506	−	0.879526i
$70$	0.270088	+	0.196231i	0.0322817	+	0.0234540i
$71$	−1.92221	+	0.624564i	−0.228125	+	0.0741222i	−0.420849	−	0.907131i	$-0.638268\pi$
$71$	−1.92221	+	0.624564i	−0.228125	+	0.0741222i	0.192724	+	0.981253i	$0.438268\pi$
$72$	1.12839	−	1.07666i	0.132982	−	0.126885i
$73$	−0.412774	+	0.568135i	−0.0483115	+	0.0664951i	−0.832489	−	0.554041i	$-0.813085\pi$
$73$	−0.412774	+	0.568135i	−0.0483115	+	0.0664951i	0.784178	+	0.620536i	$0.213085\pi$
$74$	−0.608425	+	0.442046i	−0.0707279	+	0.0513868i
$75$	−1.33016	+	1.10935i	−0.153594	+	0.128097i
$76$		−	0.958414i		−	0.109938i
$77$	−8.14891	−	2.35726i	−0.928655	−	0.268635i
$78$	−0.522516	+	0.830643i	−0.0591633	+	0.0940518i
$79$	−9.67436	−	3.14339i	−1.08845	−	0.353659i	−0.290803	−	0.956783i	$-0.593922\pi$
$79$	−9.67436	−	3.14339i	−1.08845	−	0.353659i	−0.797647	+	0.603124i	$0.793922\pi$
$80$	2.29123	+	3.15360i	0.256167	+	0.352584i
$81$	8.68051	−	2.37671i	0.964501	−	0.264079i
$82$	0.182508	+	0.561703i	0.0201547	+	0.0620298i
$83$	−0.211827	−	0.651936i	−0.0232510	−	0.0715593i	0.938758	−	0.344578i	$-0.111978\pi$
$83$	−0.211827	−	0.651936i	−0.0232510	−	0.0715593i	−0.962009	+	0.273019i	$0.911978\pi$
$84$	8.15491	−	3.26636i	0.889773	−	0.356389i
$85$	−3.53663	−	4.86775i	−0.383601	−	0.527981i
$86$	−0.540745	−	0.175699i	−0.0583100	−	0.0189461i
$87$	14.7709	+	9.29165i	1.58361	+	0.996170i
$88$	1.42720	+	0.967515i	0.152140	+	0.103137i
$89$			5.26944i			0.558560i	0.960210	+	0.279280i	$0.0900957\pi$
$89$			5.26944i			0.558560i	−0.960210	+	0.279280i	$0.909904\pi$
$90$	−0.0521684	−	0.388085i	−0.00549904	−	0.0409077i
$91$	−8.98188	+	6.52572i	−0.941557	+	0.684081i
$92$	−4.92738	+	6.78196i	−0.513715	+	0.707068i
$93$	−3.96778	+	15.7129i	−0.411440	+	1.62935i
$94$	−0.106616	+	0.0346416i	−0.0109966	+	0.00357301i
$95$	−0.391017	−	0.284091i	−0.0401175	−	0.0291471i
$96$	−2.67618	+	0.179068i	−0.273137	+	0.0182761i
$97$	2.30394	−	7.09081i	0.233930	−	0.719962i	−0.763332	−	0.646007i	$-0.776438\pi$
$97$	2.30394	−	7.09081i	0.233930	−	0.719962i	0.997262	−	0.0739554i	$-0.0235622\pi$
$98$	0.0597872			0.00603942
$99$	4.59779	+	8.82385i	0.462095	+	0.886830i
$100$	1.98296			0.198296
$101$	0.714923	−	2.20031i	0.0711375	−	0.218939i	−0.909167	−	0.416432i	$-0.863280\pi$
$101$	0.714923	−	2.20031i	0.0711375	−	0.218939i	0.980304	+	0.197494i	$0.0632802\pi$
$102$	1.35724	−	0.0908150i	0.134386	−	0.00899202i
$103$	−0.692311	−	0.502993i	−0.0682154	−	0.0495614i	0.553155	−	0.833078i	$-0.313424\pi$
$103$	−0.692311	−	0.502993i	−0.0682154	−	0.0495614i	−0.621370	+	0.783517i	$0.713424\pi$
$104$	2.14616	−	0.697331i	0.210449	−	0.0683789i
$105$	1.08463	−	4.29528i	0.105850	−	0.419176i
$106$	0.717737	−	0.987880i	0.0697127	−	0.0959513i
$107$	4.64017	−	3.37128i	0.448582	−	0.325914i	−0.340454	−	0.940261i	$-0.610581\pi$
$107$	4.64017	−	3.37128i	0.448582	−	0.325914i	0.789036	+	0.614347i	$0.210581\pi$
$108$	−9.37486	−	4.27550i	−0.902096	−	0.411410i
$109$		−	2.18576i		−	0.209358i	−0.994506	−	0.104679i	$-0.966619\pi$
$109$		−	2.18576i		−	0.209358i	0.994506	−	0.104679i	$-0.0333814\pi$
$110$	0.407140	−	0.147112i	0.0388193	−	0.0140265i
$111$	8.44732	+	5.31378i	0.801784	+	0.504362i
$112$	−9.48221	−	3.08096i	−0.895984	−	0.291123i
$113$	5.92609	+	8.15657i	0.557480	+	0.767305i	0.991003	−	0.133837i	$-0.0427299\pi$
$113$	5.92609	+	8.15657i	0.557480	+	0.767305i	−0.433523	+	0.901142i	$0.642730\pi$
$114$	0.101434	−	0.0406283i	0.00950017	−	0.00380519i
$115$	1.30637	+	4.02058i	0.121819	+	0.374921i
$116$	−6.17363	−	19.0005i	−0.573207	−	1.76415i
$117$	12.8103	+	2.33817i	1.18432	+	0.216164i
$118$	−0.626533	−	0.862349i	−0.0576771	−	0.0793857i
$119$	14.6363	+	4.75561i	1.34170	+	0.435946i
$120$	−0.479457	+	0.762192i	−0.0437682	+	0.0695783i
$121$	−8.45941	+	7.03125i	−0.769037	+	0.639204i
$122$		−	0.567283i		−	0.0513594i
$123$	6.01882	−	5.01969i	0.542699	−	0.452610i
$124$	15.0103	−	10.9056i	1.34797	−	0.979355i
$125$	0.587785	−	0.809017i	0.0525731	−	0.0723607i
$126$	0.691393	+	0.724612i	0.0615942	+	0.0645535i
$127$	−19.0261	+	6.18195i	−1.68829	+	0.548559i	−0.986491	−	0.163814i	$-0.947620\pi$
$127$	−19.0261	+	6.18195i	−1.68829	+	0.548559i	−0.701801	+	0.712373i	$0.747620\pi$
$128$	3.30751	+	2.40305i	0.292346	+	0.212401i
$129$	0.503714	+	7.52804i	0.0443496	+	0.662807i
$130$	0.175078	−	0.538836i	0.0153554	−	0.0472590i
$131$	−10.7194			−0.936560			−0.468280	−	0.883580i	$-0.655126\pi$
$131$	−10.7194			−0.936560			−0.468280	+	0.883580i	$0.655126\pi$
$132$	2.42779	−	11.1295i	0.211312	−	0.968702i
$133$	1.23621			0.107193
$134$	0.195308	−	0.601096i	0.0168720	−	0.0519268i
$135$	−4.52321	+	2.55746i	−0.389296	+	0.220111i
$136$	−2.53063	−	1.83861i	−0.217000	−	0.157660i
$137$	−7.92696	+	2.57563i	−0.677246	+	0.220051i	−0.627389	−	0.778706i	$-0.715877\pi$
$137$	−7.92696	+	2.57563i	−0.677246	+	0.220051i	−0.0498569	+	0.998756i	$0.515877\pi$
$138$	−0.926648	−	0.233995i	−0.0788815	−	0.0199190i
$139$	2.97300	−	4.09199i	0.252167	−	0.347078i	−0.664102	−	0.747642i	$-0.731186\pi$
$139$	2.97300	−	4.09199i	0.252167	−	0.347078i	0.916269	+	0.400564i	$0.131186\pi$
$140$	−4.10323	+	2.98117i	−0.346786	+	0.251955i
$141$	0.952777	+	1.14242i	0.0802383	+	0.0962092i
$142$			0.263809i			0.0221383i
$143$	0.468841	+	14.3887i	0.0392065	+	1.20324i
$144$	5.06323	+	10.5413i	0.421935	+	0.878439i
$145$	−9.58187	−	3.11334i	−0.795731	−	0.258549i
$146$	0.0538774	+	0.0741559i	0.00445892	+	0.00613718i
$147$	−0.294992	−	0.736487i	−0.0243305	−	0.0607444i
$148$	−3.53063	−	10.8662i	−0.290216	−	0.893192i
$149$	0.673500	+	2.07282i	0.0551753	+	0.169812i	0.974847	−	0.222877i	$-0.0715448\pi$
$149$	0.673500	+	2.07282i	0.0551753	+	0.169812i	−0.919671	+	0.392689i	$0.871545\pi$
$150$	0.0840602	+	0.209867i	0.00686349	+	0.0171356i
$151$	−6.74378	−	9.28202i	−0.548801	−	0.755360i	0.441048	−	0.897484i	$-0.354607\pi$
$151$	−6.74378	−	9.28202i	−0.548801	−	0.755360i	−0.989849	+	0.142124i	$0.954607\pi$
$152$	−0.238971	−	0.0776464i	−0.0193831	−	0.00629796i
$153$	−7.81534	−	16.2710i	−0.631833	−	1.31543i
$154$	−0.621305	+	0.916501i	−0.0500662	+	0.0738538i
$155$		−	9.35659i		−	0.751539i
$156$	−9.54862	−	11.4492i	−0.764502	−	0.916670i
$157$	7.85291	−	5.70547i	0.626730	−	0.455346i	−0.228536	−	0.973536i	$-0.573394\pi$
$157$	7.85291	−	5.70547i	0.626730	−	0.455346i	0.855266	+	0.518189i	$0.173394\pi$
$158$	−0.780421	+	1.07416i	−0.0620869	+	0.0854553i
$159$	−15.7105	−	3.96718i	−1.24592	−	0.314618i
$160$	1.47276	−	0.478528i	0.116432	−	0.0378310i
$161$	−8.74770	−	6.35558i	−0.689415	−	0.500890i
$162$	0.0550870	−	1.17343i	0.00432805	−	0.0921937i
$163$	−0.273572	+	0.841967i	−0.0214278	+	0.0659479i	−0.961199	−	0.275857i	$-0.911038\pi$
$163$	−0.273572	+	0.841967i	−0.0214278	+	0.0659479i	0.939771	+	0.341805i	$0.111038\pi$
$164$	−8.97266			−0.700647
$165$	−3.82103	−	4.28949i	−0.297467	−	0.333936i
$166$	−0.0894732			−0.00694447
$167$	−3.79818	+	11.6896i	−0.293912	+	0.904569i	0.689672	+	0.724122i	$0.257755\pi$
$167$	−3.79818	+	11.6896i	−0.293912	+	0.904569i	−0.983585	+	0.180447i	$0.942245\pi$
$168$	−0.153761	−	2.29797i	−0.0118629	−	0.177292i
$169$	4.72575	+	3.43346i	0.363519	+	0.264112i
$170$	−0.746915	+	0.242687i	−0.0572857	+	0.0186133i
$171$	−1.00096	−	1.04905i	−0.0765451	−	0.0802228i
$172$	5.07721	−	6.98818i	0.387133	−	0.532843i
$173$	9.31279	−	6.76614i	0.708038	−	0.514420i	−0.174502	−	0.984657i	$-0.555831\pi$
$173$	9.31279	−	6.76614i	0.708038	−	0.514420i	0.882540	+	0.470237i	$0.155831\pi$
$174$	1.74921	−	1.45884i	0.132608	−	0.110595i
$175$			2.55772i			0.193346i
$176$	−10.2063	+	7.93574i	−0.769328	+	0.598179i
$177$	−7.53148	+	11.9728i	−0.566101	+	0.899929i
$178$	0.654132	+	0.212540i	0.0490292	+	0.0159306i
$179$	−5.03062	−	6.92406i	−0.376006	−	0.517528i	0.578515	−	0.815672i	$-0.303633\pi$
$179$	−5.03062	−	6.92406i	−0.376006	−	0.517528i	−0.954521	+	0.298144i	$0.903633\pi$
$180$	5.85221	+	1.06816i	0.436198	+	0.0796158i
$181$	2.78811	+	8.58092i	0.207239	+	0.637815i	0.999614	+	0.0277810i	$0.00884411\pi$
$181$	2.78811	+	8.58092i	0.207239	+	0.637815i	−0.792375	+	0.610034i	$0.791156\pi$
$182$	0.447802	+	1.37819i	0.0331933	+	0.102158i
$183$	−6.98805	+	2.79899i	−0.516572	+	0.206907i
$184$	1.29182	+	1.77804i	0.0952342	+	0.131079i
$185$	−5.47975	−	1.78048i	−0.402880	−	0.130904i
$186$	1.79051	+	1.12632i	0.131286	+	0.0825857i
$187$	15.7539	−	12.2492i	1.15204	−	0.895751i
$188$		−	1.70308i		−	0.124210i
$189$	5.51475	−	12.0922i	0.401139	−	0.879575i
$190$	−0.0510376	+	0.0370810i	−0.00370266	+	0.00269014i
$191$	−3.78329	+	5.20726i	−0.273750	+	0.376784i	−0.923651	−	0.383234i	$-0.874810\pi$
$191$	−3.78329	+	5.20726i	−0.273750	+	0.376784i	0.649902	+	0.760018i	$0.274810\pi$
$192$	3.22034	−	12.7529i	0.232408	−	0.920362i
$193$	7.01233	−	2.27844i	0.504758	−	0.164006i	−0.0455587	−	0.998962i	$-0.514507\pi$
$193$	7.01233	−	2.27844i	0.504758	−	0.164006i	0.550317	+	0.834956i	$0.314507\pi$
$194$	−0.787302	−	0.572008i	−0.0565250	−	0.0410678i
$195$	−7.50147	+	0.501937i	−0.537192	+	0.0359444i
$196$	−0.280680	+	0.863844i	−0.0200486	+	0.0617031i
$197$	20.7238			1.47651			0.738255	−	0.674521i	$-0.235650\pi$
$197$	20.7238			1.47651			0.738255	+	0.674521i	$0.235650\pi$
$198$	1.28081	−	0.214849i	0.0910235	−	0.0152686i
$199$	−14.0916			−0.998930			−0.499465	−	0.866334i	$-0.666470\pi$
$199$	−14.0916			−0.998930			−0.499465	+	0.866334i	$0.666470\pi$
$200$	0.160651	−	0.494432i	0.0113597	−	0.0349617i
$201$	−8.36823	+	0.559933i	−0.590249	+	0.0394946i
$202$	−0.244303	−	0.177496i	−0.0171891	−	0.0124886i
$203$	24.5078	−	7.96305i	1.72011	−	0.558897i
$204$	−5.05959	+	20.0365i	−0.354242	+	1.40284i
$205$	−2.65965	+	3.66070i	−0.185758	+	0.255674i
$206$	−0.0903640	+	0.0656533i	−0.00629596	+	0.00457428i
$207$	1.68965	+	12.5694i	0.117439	+	0.873635i
$208$			16.9202i			1.17320i
$209$	0.899488	−	1.32686i	0.0622189	−	0.0917805i
$210$	−0.489454	−	0.307891i	−0.0337755	−	0.0212465i
$211$	19.8881	+	6.46203i	1.36915	+	0.444864i	0.899088	−	0.437768i	$-0.144231\pi$
$211$	19.8881	+	6.46203i	1.36915	+	0.444864i	0.470064	+	0.882632i	$0.344231\pi$
$212$	10.9040	+	15.0081i	0.748889	+	1.03076i
$213$	3.24972	−	1.30164i	0.222667	−	0.0891869i
$214$	−0.231341	−	0.711995i	−0.0158142	−	0.0486710i
$215$	−1.34609	−	4.14284i	−0.0918025	−	0.282539i
$216$	−1.82556	+	1.99115i	−0.124214	+	0.135480i
$217$	14.0666	+	19.3610i	0.954905	+	1.31431i
$218$	−0.271333	−	0.0881614i	−0.0183770	−	0.00597104i
$219$	0.647654	−	1.02957i	0.0437644	−	0.0695722i
$220$	0.214183	+	6.57326i	0.0144402	+	0.443169i
$221$		−	26.1172i		−	1.75683i
$222$	1.00035	−	0.834294i	0.0671394	−	0.0559942i
$223$	3.71942	−	2.70231i	0.249071	−	0.180960i	−0.456244	−	0.889855i	$-0.650806\pi$
$223$	3.71942	−	2.70231i	0.249071	−	0.180960i	0.705315	+	0.708894i	$0.250806\pi$
$224$	−2.32808	+	3.20432i	−0.155551	+	0.214098i
$225$	2.17049	−	2.07099i	0.144699	−	0.138066i
$226$	1.25156	−	0.406655i	0.0832523	−	0.0270503i
$227$	−14.4004	−	10.4625i	−0.955787	−	0.694420i	−0.00361831	−	0.999993i	$-0.501152\pi$
$227$	−14.4004	−	10.4625i	−0.955787	−	0.694420i	−0.952168	+	0.305574i	$0.901152\pi$
$228$	0.110827	+	1.65632i	0.00733970	+	0.109692i
$229$	−4.63660	+	14.2700i	−0.306395	+	0.942988i	0.672757	+	0.739863i	$0.265110\pi$
$229$	−4.63660	+	14.2700i	−0.306395	+	0.942988i	−0.979153	+	0.203125i	$0.934890\pi$
$230$	0.551794			0.0363842
$231$	14.3554	+	3.13148i	0.944517	+	0.206036i
$232$	−5.23774			−0.343875
$233$	−8.62391	+	26.5417i	−0.564971	+	1.73880i	0.103066	+	0.994675i	$0.467135\pi$
$233$	−8.62391	+	26.5417i	−0.564971	+	1.73880i	−0.668037	+	0.744128i	$0.732865\pi$
$234$	0.806953	−	1.49593i	0.0527521	−	0.0977918i
$235$	−0.694830	−	0.504824i	−0.0453257	−	0.0329311i
$236$	15.4011	−	5.00413i	1.00253	−	0.325741i
$237$	17.0826	+	4.31366i	1.10963	+	0.280202i
$238$	1.18069	−	1.62508i	0.0765329	−	0.105339i
$239$	10.8038	−	7.84942i	0.698840	−	0.507737i	−0.180714	−	0.983536i	$-0.557841\pi$
$239$	10.8038	−	7.84942i	0.698840	−	0.507737i	0.879554	+	0.475799i	$0.157841\pi$
$240$	−4.32434	−	5.18507i	−0.279135	−	0.334695i
$241$		−	16.7564i		−	1.07938i	−0.841865	−	0.539688i	$-0.818542\pi$
$241$		−	16.7564i		−	1.07938i	0.841865	−	0.539688i	$-0.181458\pi$
$242$	0.531631	+	1.33373i	0.0341745	+	0.0857351i
$243$	−14.7267	+	5.11117i	−0.944719	+	0.327882i
$244$	8.19646	+	2.66319i	0.524725	+	0.170493i
$245$	0.269236	+	0.370571i	0.0172008	+	0.0236749i
$246$	−0.380362	−	0.949624i	−0.0242510	−	0.0605458i
$247$	−0.648301	−	1.99527i	−0.0412504	−	0.126956i
$248$	−1.50314	−	4.62620i	−0.0954497	−	0.293764i
$249$	0.441464	+	1.10217i	0.0279766	+	0.0698473i
$250$	−0.0767208	−	0.105597i	−0.00485225	−	0.00667855i
$251$	−11.2915	−	3.66882i	−0.712711	−	0.231574i	−0.0698506	−	0.997557i	$-0.522252\pi$
$251$	−11.2915	−	3.66882i	−0.712711	−	0.231574i	−0.642860	+	0.765984i	$0.722252\pi$
$252$	−13.7155	+	6.58788i	−0.863995	+	0.414998i
$253$	−13.1866	+	4.76470i	−0.829034	+	0.299554i
$254$			2.61118i			0.163840i
$255$	6.67483	+	8.00341i	0.417994	+	0.501193i
$256$	−11.8557	+	8.61364i	−0.740979	+	0.538353i
$257$	−11.0844	+	15.2564i	−0.691426	+	0.951667i	0.308574	+	0.951200i	$0.400148\pi$
$257$	−11.0844	+	15.2564i	−0.691426	+	0.951667i	−1.00000		0.000466223i	$0.999852\pi$
$258$	0.954824	+	0.241110i	0.0594448	+	0.0150109i
$259$	14.0157	−	4.55398i	0.870893	−	0.282970i
$260$	6.96351	+	5.05929i	0.431859	+	0.313764i
$261$	−26.6014	−	14.3497i	−1.64658	−	0.888221i
$262$	−0.432363	+	1.33068i	−0.0267114	+	0.0822094i
$263$	−0.176130			−0.0108606			−0.00543031	−	0.999985i	$-0.501729\pi$
$263$	−0.176130			−0.0108606			−0.00543031	+	0.999985i	$0.501729\pi$
$264$	−2.57835	−	1.50701i	−0.158687	−	0.0927501i
$265$	9.35518			0.574684
$266$	0.0498619	−	0.153459i	0.00305723	−	0.00940918i
$267$	−0.609337	−	9.10658i	−0.0372908	−	0.557313i
$268$	7.76811	+	5.64386i	0.474513	+	0.344754i
$269$	0.136449	−	0.0443350i	0.00831945	−	0.00270315i	−0.304854	−	0.952399i	$-0.598608\pi$
$269$	0.136449	−	0.0443350i	0.00831945	−	0.00270315i	0.313174	+	0.949696i	$0.398608\pi$
$270$	0.135033	+	0.664650i	0.00821787	+	0.0404493i
$271$	−17.2927	+	23.8013i	−1.05046	+	1.44583i	−0.162043	+	0.986784i	$0.551808\pi$
$271$	−17.2927	+	23.8013i	−1.05046	+	1.44583i	−0.888413	+	0.459045i	$0.848192\pi$
$272$	18.9748	−	13.7860i	1.15052	−	0.835900i
$273$	14.7678	−	12.3163i	0.893785	−	0.745415i
$274$			1.08791i			0.0657233i
$275$	2.74527	+	1.86105i	0.165546	+	0.112225i
$276$	7.73119	−	12.2903i	0.465363	−	0.739787i
$277$	18.8444	+	6.12290i	1.13225	+	0.367890i	0.814430	−	0.580262i	$-0.197050\pi$
$277$	18.8444	+	6.12290i	1.13225	+	0.367890i	0.317818	+	0.948152i	$0.397050\pi$
$278$	−0.388052	−	0.534107i	−0.0232738	−	0.0320336i
$279$	5.04009	−	27.6136i	0.301742	−	1.65318i
$280$	0.410900	+	1.26462i	0.0245560	+	0.0755756i
$281$	3.92842	+	12.0904i	0.234350	+	0.721255i	0.997207	+	0.0746880i	$0.0237961\pi$
$281$	3.92842	+	12.0904i	0.234350	+	0.721255i	−0.762857	+	0.646567i	$0.776204\pi$
$282$	0.180246	−	0.0721957i	0.0107335	−	0.00429919i
$283$	7.34319	+	10.1070i	0.436507	+	0.600801i	0.969431	−	0.245362i	$-0.0789070\pi$
$283$	7.34319	+	10.1070i	0.436507	+	0.600801i	−0.532924	+	0.846163i	$0.678907\pi$
$284$	−3.81167	−	1.23849i	−0.226181	−	0.0734907i
$285$	0.708602	+	0.445746i	0.0419740	+	0.0264037i
$286$	1.80508	+	0.522161i	0.106737	+	0.0308760i
$287$		−	11.5734i		−	0.683155i
$288$	4.60424	−	0.618926i	0.271307	−	0.0364706i
$289$	−15.5353	+	11.2871i	−0.913841	+	0.663944i
$290$	−0.772959	+	1.06389i	−0.0453897	+	0.0624736i
$291$	−3.16169	+	12.5207i	−0.185342	+	0.733974i
$292$	−1.32439	+	0.430319i	−0.0775038	+	0.0251825i
$293$	−25.5694	−	18.5773i	−1.49378	−	1.08530i	−0.972778	−	0.231740i	$-0.925558\pi$
$293$	−25.5694	−	18.5773i	−1.49378	−	1.08530i	−0.521003	−	0.853555i	$-0.674442\pi$
$294$	−0.103324	+	0.00691355i	−0.00602595	+	0.000403207i
$295$	2.52356	−	7.76672i	0.146927	−	0.452196i
$296$	−2.99540			−0.174104
$297$	−8.96619	−	14.7176i	−0.520271	−	0.854001i
$298$	0.284479			0.0164794
$299$	−5.67050	+	17.4520i	−0.327933	+	1.00927i
$300$	−3.42693	+	0.229302i	−0.197854	+	0.0132387i
$301$	9.01369	+	6.54883i	0.519541	+	0.377468i
$302$	−1.42425	+	0.462766i	−0.0819562	+	0.0266292i
$303$	−0.981085	+	3.88521i	−0.0563619	+	0.223199i
$304$	1.10741	−	1.52421i	0.0635141	−	0.0874196i
$305$	3.51612	−	2.55461i	0.201332	−	0.146276i
$306$	−2.33505	+	0.313890i	−0.133486	+	0.0179439i
$307$			5.29014i			0.301924i	0.988540	+	0.150962i	$0.0482371\pi$
$307$			5.29014i			0.301924i	−0.988540	+	0.150962i	$0.951763\pi$
$308$	−10.3254	−	13.2797i	−0.588343	−	0.756679i
$309$	1.25461	+	0.789210i	0.0713721	+	0.0448966i
$310$	−1.16150	−	0.377393i	−0.0659686	−	0.0214345i
$311$	11.7840	+	16.2193i	0.668208	+	0.919710i	0.999718	−	0.0237420i	$-0.00755802\pi$
$311$	11.7840	+	16.2193i	0.668208	+	0.919710i	−0.331510	+	0.943452i	$0.607558\pi$
$312$	−3.62833	+	1.45329i	−0.205414	+	0.0822764i
$313$	−3.27461	−	10.0782i	−0.185092	−	0.569654i	0.814858	−	0.579661i	$-0.196815\pi$
$313$	−3.27461	−	10.0782i	−0.185092	−	0.569654i	−0.999950	+	0.0100063i	$0.996815\pi$
$314$	−0.391516	−	1.20496i	−0.0220945	−	0.0680000i
$315$	−1.37776	+	7.54846i	−0.0776281	+	0.425308i
$316$	−11.8563	−	16.3188i	−0.666969	−	0.918004i
$317$	8.69406	+	2.82487i	0.488307	+	0.158661i	0.542814	−	0.839853i	$-0.317359\pi$
$317$	8.69406	+	2.82487i	0.488307	+	0.158661i	−0.0545071	+	0.998513i	$0.517359\pi$
$318$	−1.12615	+	1.79024i	−0.0631513	+	0.100391i
$319$	9.28534	−	32.0989i	0.519879	−	1.79719i
$320$			7.59401i			0.424518i
$321$	−7.62924	+	6.36277i	−0.425822	+	0.355135i
$322$	−1.14180	+	0.829563i	−0.0636298	+	0.0462297i
$323$	−1.70934	+	2.35270i	−0.0951100	+	0.130908i
$324$	16.6959	+	6.30479i	0.927550	+	0.350266i
$325$	4.12821	−	1.34134i	0.228992	−	0.0744041i
$326$	0.0934847	+	0.0679206i	0.00517764	+	0.00376177i
$327$	0.252752	+	3.77740i	0.0139772	+	0.208890i
$328$	−0.726925	+	2.23724i	−0.0401377	+	0.123531i
$329$	2.19672			0.121109
$330$	−0.686603	+	0.301316i	−0.0377962	+	0.0165869i
$331$	24.3959			1.34092			0.670461	−	0.741945i	$-0.266096\pi$
$331$	24.3959			1.34092			0.670461	+	0.741945i	$0.266096\pi$
$332$	0.420045	−	1.29277i	0.0230530	−	0.0709497i
$333$	−15.2130	−	8.20640i	−0.833667	−	0.449708i
$334$	1.29791	+	0.942989i	0.0710186	+	0.0515981i
$335$	4.60521	−	1.49632i	0.251609	−	0.0817529i
$336$	16.7433	+	4.22798i	0.913421	+	0.230655i
$337$	−1.36006	+	1.87197i	−0.0740874	+	0.101973i	−0.844452	−	0.535631i	$-0.820074\pi$
$337$	−1.36006	+	1.87197i	−0.0740874	+	0.101973i	0.770365	+	0.637603i	$0.220074\pi$
$338$	0.616829	−	0.448152i	0.0335511	−	0.0243763i
$339$	−11.1846	−	13.4108i	−0.607463	−	0.728375i
$340$		−	11.9312i		−	0.647061i
$341$	31.0158	−	1.01062i	1.67960	−	0.0547281i
$342$	−0.170599	+	0.0819427i	−0.00922493	+	0.00443096i
$343$	−18.1420	−	5.89469i	−0.979576	−	0.318284i
$344$	−1.33110	−	1.83210i	−0.0717681	−	0.0987803i
$345$	−2.72257	−	6.79725i	−0.146578	−	0.365952i
$346$	−0.464300	−	1.42897i	−0.0249609	−	0.0768219i
$347$	3.24245	+	9.97924i	0.174064	+	0.535714i	0.999589	−	0.0286510i	$-0.00912114\pi$
$347$	3.24245	+	9.97924i	0.174064	+	0.535714i	−0.825526	+	0.564365i	$0.809121\pi$
$348$	12.8663	+	32.1225i	0.689707	+	1.72195i
$349$	0.773614	+	1.06479i	0.0414106	+	0.0569968i	0.829220	−	0.558922i	$-0.188785\pi$
$349$	0.773614	+	1.06479i	0.0414106	+	0.0569968i	−0.787810	+	0.615919i	$0.788785\pi$
$350$	0.317508	+	0.103164i	0.0169715	+	0.00551437i
$351$	−22.4090	−	2.55946i	−1.19611	−	0.136614i
$352$	1.74533	+	4.83031i	0.0930265	+	0.257456i
$353$		−	5.89657i		−	0.313843i	−0.987611	−	0.156921i	$-0.949843\pi$
$353$		−	5.89657i		−	0.313843i	0.987611	−	0.156921i	$-0.0501569\pi$
$354$	1.18248	+	1.41785i	0.0628484	+	0.0753579i
$355$	−1.63513	+	1.18799i	−0.0867837	+	0.0630521i
$356$	−6.14183	+	8.45350i	−0.325516	+	0.448035i
$357$	−25.8441	−	6.52610i	−1.36782	−	0.345398i
$358$	−1.06244	+	0.345207i	−0.0561516	+	0.0182448i
$359$	3.27896	+	2.38230i	0.173057	+	0.125733i	0.670942	−	0.741510i	$-0.265890\pi$
$359$	3.27896	+	2.38230i	0.173057	+	0.125733i	−0.497885	+	0.867243i	$0.665890\pi$
$360$	0.740454	−	1.37265i	0.0390254	−	0.0723452i
$361$	5.79914	−	17.8479i	0.305218	−	0.939363i
$362$	1.17767			0.0618967
$363$	13.8064	−	13.1295i	0.724646	−	0.689121i
$364$	−22.0153			−1.15391
$365$	−0.217008	+	0.667882i	−0.0113587	+	0.0349586i
$366$	0.0655983	+	0.980371i	0.00342888	+	0.0512448i
$367$	−24.4003	−	17.7278i	−1.27368	−	0.925386i	−0.274342	−	0.961632i	$-0.588460\pi$
$367$	−24.4003	−	17.7278i	−1.27368	−	0.925386i	−0.999343	+	0.0362460i	$0.988460\pi$
$368$	−15.6725	+	5.09231i	−0.816986	+	0.265455i
$369$	−9.82119	+	9.37095i	−0.511271	+	0.487832i
$370$	−0.442046	+	0.608425i	−0.0229809	+	0.0316305i
$371$	−19.3581	+	14.0645i	−1.00502	+	0.730192i
$372$	−24.6795	+	20.5827i	−1.27957	+	1.06716i
$373$			13.5910i			0.703714i	0.936054	+	0.351857i	$0.114450\pi$
$373$			13.5910i			0.703714i	−0.936054	+	0.351857i	$0.885550\pi$
$374$	−0.885151	−	2.44971i	−0.0457701	−	0.126671i
$375$	−0.922251	+	1.46610i	−0.0476248	+	0.0757091i
$376$	−0.424647	−	0.137976i	−0.0218995	−	0.00711558i
$377$	−25.7050	−	35.3800i	−1.32388	−	1.82216i
$378$	−1.27865	−	1.17231i	−0.0657665	−	0.0602973i
$379$	−1.99240	−	6.13198i	−0.102343	−	0.314979i	0.886755	−	0.462240i	$-0.152954\pi$
$379$	−1.99240	−	6.13198i	−0.102343	−	0.314979i	−0.989098	+	0.147261i	$0.952954\pi$
$380$	−0.296166	−	0.911506i	−0.0151930	−	0.0467593i
$381$	32.1658	−	12.8837i	1.64790	−	0.660050i
$382$	0.493815	+	0.679678i	0.0252658	+	0.0347754i
$383$	−20.6077	−	6.69583i	−1.05300	−	0.342141i	−0.269156	−	0.963097i	$-0.586745\pi$
$383$	−20.6077	−	6.69583i	−1.05300	−	0.342141i	−0.783846	+	0.620956i	$0.786745\pi$
$384$	−5.99388	−	3.77045i	−0.305874	−	0.192410i
$385$	−8.47851	+	0.276263i	−0.432105	+	0.0140797i
$386$		−	0.962388i		−	0.0489843i
$387$	−1.74102	−	12.9516i	−0.0885013	−	0.658368i
$388$	11.9608	−	8.69006i	0.607219	−	0.441171i
$389$	−21.9802	+	30.2531i	−1.11444	+	1.53389i	−0.299729	+	0.954024i	$0.596896\pi$
$389$	−21.9802	+	30.2531i	−1.11444	+	1.53389i	−0.814710	+	0.579869i	$0.803104\pi$
$390$	−0.240259	+	0.951454i	−0.0121660	+	0.0481788i
$391$	24.1913	−	7.86023i	1.22341	−	0.397509i
$392$	0.192652	+	0.139970i	0.00973037	+	0.00706953i
$393$	18.5252	−	1.23955i	0.934471	−	0.0625271i
$394$	0.835885	−	2.57259i	0.0421113	−	0.129605i
$395$	−10.1722			−0.511820
$396$	−2.90870	+	19.5147i	−0.146167	+	0.980648i
$397$	−35.2745			−1.77038			−0.885188	−	0.465233i	$-0.845970\pi$
$397$	−35.2745			−1.77038			−0.885188	+	0.465233i	$0.845970\pi$
$398$	−0.568380	+	1.74929i	−0.0284903	+	0.0876841i
$399$	−2.13640	+	0.142950i	−0.106954	+	0.00715646i
$400$	3.15360	+	2.29123i	0.157680	+	0.114561i
$401$	22.5444	−	7.32511i	1.12581	−	0.365798i	0.313829	−	0.949480i	$-0.398388\pi$
$401$	22.5444	−	7.32511i	1.12581	−	0.365798i	0.811983	+	0.583681i	$0.198388\pi$
$402$	−0.268020	+	1.06139i	−0.0133676	+	0.0529373i
$403$	23.8722	−	32.8572i	1.18916	−	1.63674i
$404$	3.71150	−	2.69656i	0.184654	−	0.134159i
$405$	7.52121	−	4.94281i	0.373732	−	0.245610i
$406$		−	3.36350i		−	0.166928i
$407$	5.31018	−	18.3570i	0.263216	−	0.909921i
$408$	4.58601	+	2.88483i	0.227041	+	0.142820i
$409$	25.2396	+	8.20085i	1.24802	+	0.405506i	0.857210	−	0.514967i	$-0.172196\pi$
$409$	25.2396	+	8.20085i	1.24802	+	0.405506i	0.390808	+	0.920472i	$0.372196\pi$
$410$	0.347152	+	0.477813i	0.0171446	+	0.0235975i
$411$	13.4014	−	5.36781i	0.661044	−	0.264774i
$412$	−0.524373	−	1.61385i	−0.0258340	−	0.0795089i
$413$	6.45457	+	19.8651i	0.317608	+	0.977498i
$414$	1.62848	+	0.297234i	0.0800354	+	0.0146082i
$415$	−0.402919	−	0.554570i	−0.0197785	−	0.0272228i
$416$	6.39275	+	2.07713i	0.313430	+	0.101840i
$417$	−4.66472	+	7.41550i	−0.228432	+	0.363139i
$418$	−0.128431	−	0.165178i	−0.00628177	−	0.00807910i
$419$		−	21.0530i		−	1.02851i	−0.857639	−	0.514253i	$-0.828069\pi$
$419$		−	21.0530i		−	1.02851i	0.857639	−	0.514253i	$-0.171931\pi$
$420$	6.74642	−	5.62650i	0.329191	−	0.274545i
$421$	−22.9891	+	16.7026i	−1.12042	+	0.814034i	−0.984273	−	0.176655i	$-0.943472\pi$
$421$	−22.9891	+	16.7026i	−1.12042	+	0.814034i	−0.136148	+	0.990688i	$0.543472\pi$
$422$	1.60435	−	2.20820i	0.0780986	−	0.107494i
$423$	−1.77868	−	1.86414i	−0.0864824	−	0.0906376i
$424$	4.62550	−	1.50292i	0.224634	−	0.0729881i
$425$	−4.86775	−	3.53663i	−0.236120	−	0.171552i
$426$	−0.0305058	−	0.455911i	−0.00147801	−	0.0220889i
$427$	−3.43512	+	10.5722i	−0.166237	+	0.511625i
$428$	11.3734			0.549755
$429$	−2.47410	−	24.8122i	−0.119451	−	1.19794i
$430$	−0.568572			−0.0274190
$431$	−7.51398	+	23.1257i	−0.361936	+	1.11392i	0.589942	+	0.807446i	$0.299151\pi$
$431$	−7.51398	+	23.1257i	−0.361936	+	1.11392i	−0.951878	+	0.306478i	$0.900849\pi$
$432$	−9.96915	−	17.6318i	−0.479641	−	0.848309i
$433$	8.69858	+	6.31989i	0.418027	+	0.303714i	0.776843	−	0.629694i	$-0.216820\pi$
$433$	8.69858	+	6.31989i	0.418027	+	0.303714i	−0.358816	+	0.933408i	$0.616820\pi$
$434$	2.97079	−	0.965268i	0.142602	−	0.0463343i
$435$	16.9193	+	4.27242i	0.811217	+	0.204847i
$436$	2.54762	−	3.50650i	0.122009	−	0.167931i
$437$	1.65302	−	1.20099i	0.0790748	−	0.0574512i
$438$	−0.101685	−	0.121925i	−0.00485871	−	0.00582580i
$439$			33.5174i			1.59970i	0.600201	+	0.799849i	$0.295087\pi$
$439$			33.5174i			1.59970i	−0.600201	+	0.799849i	$0.704913\pi$
$440$	1.65633	+	0.479132i	0.0789624	+	0.0228417i
$441$	0.594966	+	1.23868i	0.0283317	+	0.0589845i
$442$	−3.24210	−	1.05342i	−0.154211	−	0.0501062i
$443$	−11.2280	−	15.4540i	−0.533457	−	0.734240i	0.454196	−	0.890902i	$-0.349927\pi$
$443$	−11.2280	−	15.4540i	−0.533457	−	0.734240i	−0.987652	+	0.156662i	$0.949927\pi$
$444$	7.35810	+	18.3705i	0.349200	+	0.871824i
$445$	1.62835	+	5.01154i	0.0771910	+	0.237570i
$446$	−0.185436	−	0.570713i	−0.00878065	−	0.0270241i
$447$	−1.40363	−	3.50434i	−0.0663893	−	0.165750i
$448$	−11.4168	−	15.7138i	−0.539392	−	0.742410i
$449$	−17.3167	−	5.62652i	−0.817224	−	0.265532i	−0.129569	−	0.991570i	$-0.541360\pi$
$449$	−17.3167	−	5.62652i	−0.817224	−	0.265532i	−0.687654	+	0.726038i	$0.741360\pi$
$450$	−0.169540	−	0.352970i	−0.00799219	−	0.0166392i
$451$	−12.4220	−	8.42100i	−0.584929	−	0.396529i
$452$			19.9924i			0.940362i
$453$	12.7278	+	15.2612i	0.598006	+	0.717035i
$454$	−1.87961	+	1.36562i	−0.0882146	+	0.0640916i
$455$	−6.52572	+	8.98188i	−0.305930	+	0.421077i
$456$	0.421965	+	0.106554i	0.0197603	+	0.00498984i
$457$	−23.8370	+	7.74510i	−1.11505	+	0.362301i	−0.807875	−	0.589354i	$-0.799383\pi$
$457$	−23.8370	+	7.74510i	−1.11505	+	0.362301i	−0.307171	+	0.951654i	$0.599383\pi$
$458$	1.58442	+	1.15115i	0.0740349	+	0.0537895i
$459$	15.3879	+	27.2155i	0.718245	+	1.27031i
$460$	−2.59048	+	7.97267i	−0.120782	+	0.371728i
$461$	15.5866			0.725943			0.362971	−	0.931800i	$-0.381762\pi$
$461$	15.5866			0.725943			0.362971	+	0.931800i	$0.381762\pi$
$462$	0.967751	−	1.65573i	0.0450238	−	0.0770315i
$463$	−6.73740			−0.313113			−0.156557	−	0.987669i	$-0.550039\pi$
$463$	−6.73740			−0.313113			−0.156557	+	0.987669i	$0.550039\pi$
$464$	12.1360	−	37.3508i	0.563400	−	1.73397i
$465$	1.08196	+	16.1699i	0.0501746	+	0.749863i
$466$	2.94696	+	2.14109i	0.136515	+	0.0991841i
$467$	34.7212	−	11.2816i	1.60670	−	0.522050i	0.637951	−	0.770077i	$-0.279782\pi$
$467$	34.7212	−	11.2816i	1.60670	−	0.522050i	0.968753	+	0.248027i	$0.0797823\pi$
$468$	17.8257	+	18.6822i	0.823995	+	0.863585i
$469$	−7.27973	+	10.0197i	−0.336147	+	0.462666i
$470$	−0.0906928	+	0.0658922i	−0.00418335	+	0.00303938i
$471$	−12.9115	+	10.7682i	−0.594932	+	0.496172i
$472$		−	4.24553i		−	0.195416i
$473$	13.5876	−	4.90958i	0.624756	−	0.225743i
$474$	1.22450	−	1.94659i	0.0562432	−	0.0894097i
$475$	−0.459669	−	0.149355i	−0.0210910	−	0.00685289i
$476$	17.9373	+	24.6886i	0.822155	+	1.13160i
$477$	27.6094	+	5.03933i	1.26415	+	0.230735i
$478$	−0.538636	−	1.65775i	−0.0246366	−	0.0758238i
$479$	2.94845	+	9.07440i	0.134718	+	0.414620i	0.995546	−	0.0942762i	$-0.0300537\pi$
$479$	2.94845	+	9.07440i	0.134718	+	0.414620i	−0.860828	+	0.508896i	$0.830054\pi$
$480$	−2.48987	+	0.997290i	−0.113646	+	0.0455199i
$481$	−14.7004	−	20.2334i	−0.670281	−	0.922563i
$482$	−2.08009	−	0.675862i	−0.0947455	−	0.0307847i
$483$	15.8526	+	9.97207i	0.721318	+	0.453745i
$484$	−21.7663	+	1.41997i	−0.989378	+	0.0645442i
$485$		−	7.45571i		−	0.338547i
$486$	0.0404905	+	2.03428i	0.00183669	+	0.0922770i
$487$	18.0418	−	13.1081i	0.817551	−	0.593986i	−0.0984587	−	0.995141i	$-0.531391\pi$
$487$	18.0418	−	13.1081i	0.817551	−	0.593986i	0.916010	+	0.401155i	$0.131391\pi$
$488$	1.32808	−	1.82795i	0.0601194	−	0.0827473i
$489$	0.375421	−	1.48671i	0.0169771	−	0.0672314i
$490$	0.0568611	−	0.0184753i	0.00256872	−	0.000834628i
$491$	32.0194	+	23.2635i	1.44502	+	1.04987i	0.986964	+	0.160939i	$0.0514523\pi$
$491$	32.0194	+	23.2635i	1.44502	+	1.04987i	0.458051	+	0.888926i	$0.348548\pi$
$492$	15.5064	−	1.03756i	0.699084	−	0.0467769i
$493$	−18.7325	+	57.6528i	−0.843671	+	2.59655i
$494$	−0.273835			−0.0123204
$495$	7.09947	+	6.97119i	0.319098	+	0.313332i
$496$	36.4726			1.63767
$497$	1.59746	−	4.91648i	0.0716560	−	0.220534i
$498$	0.154626	−	0.0103463i	0.00692897	−	0.000463630i
$499$	−19.9401	−	14.4873i	−0.892642	−	0.648543i	0.0439233	−	0.999035i	$-0.486014\pi$
$499$	−19.9401	−	14.4873i	−0.892642	−	0.648543i	−0.936566	+	0.350492i	$0.886014\pi$
$500$	1.88591	−	0.612769i	0.0843405	−	0.0274039i
$501$	5.21223	−	20.6410i	0.232865	−	0.922173i
$502$	−0.910871	+	1.25371i	−0.0406541	+	0.0559556i
$503$	−4.37741	+	3.18037i	−0.195179	+	0.141806i	−0.681083	−	0.732206i	$-0.738491\pi$
$503$	−4.37741	+	3.18037i	−0.195179	+	0.141806i	0.485904	+	0.874012i	$0.338491\pi$
$504$	0.531456	+	3.95354i	0.0236729	+	0.176105i
$505$		−	2.31354i		−	0.102951i
$506$	0.0596001	+	1.82912i	0.00264955	+	0.0813144i
$507$	−8.56400	−	5.38719i	−0.380341	−	0.239253i
$508$	−37.7280	−	12.2586i	−1.67391	−	0.543886i
$509$	12.6453	+	17.4048i	0.560494	+	0.771454i	0.991389	−	0.130948i	$-0.0418020\pi$
$509$	12.6453	+	17.4048i	0.560494	+	0.771454i	−0.430895	+	0.902402i	$0.641802\pi$
$510$	1.26274	−	0.505779i	0.0559153	−	0.0223963i
$511$	−0.555047	−	1.70826i	−0.0245538	−	0.0755689i
$512$	3.11779	+	9.59558i	0.137788	+	0.424069i
$513$	1.85115	+	1.69721i	0.0817302	+	0.0749335i
$514$	1.44679	+	1.99134i	0.0638154	+	0.0878343i
$515$	−0.813860	−	0.264439i	−0.0358630	−	0.0116526i
$516$	−7.96627	+	12.6640i	−0.350696	+	0.557500i
$517$	1.59837	−	2.35780i	0.0702964	−	0.103696i
$518$		−	1.92355i		−	0.0845158i
$519$	−15.3118	+	12.7700i	−0.672115	+	0.560543i
$520$	1.82564	−	1.32640i	0.0800594	−	0.0581666i
$521$	16.9489	−	23.3282i	0.742545	−	1.02203i	−0.255923	−	0.966697i	$-0.582379\pi$
$521$	16.9489	−	23.3282i	0.742545	−	1.02203i	0.998468	−	0.0553285i	$-0.0176206\pi$
$522$	−2.85427	+	2.72342i	−0.124928	+	0.119201i
$523$	7.19854	−	2.33895i	0.314770	−	0.102275i	−0.147371	−	0.989081i	$-0.547081\pi$
$523$	7.19854	−	2.33895i	0.314770	−	0.102275i	0.462141	+	0.886806i	$0.347081\pi$
$524$	−17.1966	−	12.4941i	−0.751239	−	0.545807i
$525$	−0.295765	−	4.42022i	−0.0129082	−	0.192914i
$526$	−0.00710410	+	0.0218642i	−0.000309754	+	0.000953324i
$527$	−56.2974			−2.45235
$528$	16.7207	−	14.8946i	0.727676	−	0.648206i
$529$	5.12831			0.222970
$530$	0.377336	−	1.16132i	0.0163904	−	0.0504446i
$531$	11.6313	−	21.5621i	0.504756	−	0.935716i
$532$	1.98319	+	1.44087i	0.0859822	+	0.0624697i
$533$	−18.6796	+	6.06939i	−0.809105	+	0.262894i
$534$	−1.15504	−	0.291668i	−0.0499834	−	0.0126217i
$535$	3.37128	−	4.64017i	0.145753	−	0.200612i
$536$	2.03658	−	1.47966i	0.0879668	−	0.0639116i
$537$	9.49452	+	11.3843i	0.409719	+	0.491271i
$538$		−	0.0187266i		−	0.000807360i
$539$	−1.19931	+	0.932507i	−0.0516581	+	0.0401659i
$540$	−10.2372	−	1.16925i	−0.440540	−	0.0503165i
$541$	1.07320	+	0.348704i	0.0461405	+	0.0149920i	0.331996	−	0.943281i	$-0.392278\pi$
$541$	1.07320	+	0.348704i	0.0461405	+	0.0149920i	−0.285856	+	0.958273i	$0.592278\pi$
$542$	2.25713	+	3.10667i	0.0969521	+	0.133443i
$543$	−5.81064	−	14.5070i	−0.249358	−	0.622556i
$544$	−2.87924	−	8.86139i	−0.123446	−	0.379929i
$545$	−0.675436	−	2.07878i	−0.0289325	−	0.0890451i
$546$	−0.933254	−	2.32999i	−0.0399396	−	0.0997145i
$547$	16.2666	+	22.3891i	0.695510	+	0.957287i	0.999989	+	0.00476805i	$0.00151772\pi$
$547$	16.2666	+	22.3891i	0.695510	+	0.957287i	−0.304479	+	0.952519i	$0.598482\pi$
$548$	−15.7189	−	5.10737i	−0.671477	−	0.218176i
$549$	11.7530	−	5.64525i	0.501606	−	0.240933i
$550$	0.341753	−	0.265725i	0.0145724	−	0.0113305i
$551$			4.86948i			0.207447i
$552$	−2.43811	−	2.92340i	−0.103773	−	0.124428i
$553$	21.0488	−	15.2928i	0.895085	−	0.650317i
$554$	1.52016	−	2.09231i	0.0645852	−	0.0888939i
$555$	9.67593	+	2.44335i	0.410720	+	0.103714i
$556$	9.53888	−	3.09937i	0.404539	−	0.131443i
$557$	−6.65734	−	4.83684i	−0.282080	−	0.204943i	0.437744	−	0.899100i	$-0.355778\pi$
$557$	−6.65734	−	4.83684i	−0.282080	−	0.204943i	−0.719824	+	0.694156i	$0.755778\pi$
$558$	−3.22457	−	1.73944i	−0.136507	−	0.0736364i
$559$	5.84292	−	17.9827i	0.247129	−	0.760585i
$560$	−9.97018			−0.421317
$561$	−25.8093	+	22.9906i	−1.08967	+	0.970666i
$562$	1.65932			0.0699942
$563$	5.28782	−	16.2742i	0.222855	−	0.685877i	−0.775647	−	0.631166i	$-0.782576\pi$
$563$	5.28782	−	16.2742i	0.222855	−	0.685877i	0.998502	−	0.0547103i	$-0.0174235\pi$
$564$	0.196938	+	2.94324i	0.00829257	+	0.123933i
$565$	8.15657	+	5.92609i	0.343149	+	0.249313i
$566$	1.55084	−	0.503898i	0.0651866	−	0.0211804i
$567$	−8.13223	+	21.5352i	−0.341521	+	0.904393i
$568$	−0.617610	+	0.850067i	−0.0259143	+	0.0356680i
$569$	32.3243	−	23.4850i	1.35511	−	0.984543i	0.356368	−	0.934346i	$-0.384015\pi$
$569$	32.3243	−	23.4850i	1.35511	−	0.984543i	0.998739	−	0.0501972i	$-0.0159850\pi$
$570$	0.0839146	−	0.0699847i	0.00351480	−	0.00293134i
$571$		−	12.5031i		−	0.523236i	−0.965171	−	0.261618i	$-0.915744\pi$
$571$		−	12.5031i		−	0.523236i	0.965171	−	0.261618i	$-0.0842561\pi$
$572$	−16.0187	+	23.6296i	−0.669776	+	0.988002i
$573$	5.93609	−	9.43660i	0.247984	−	0.394219i
$574$	−1.43668	−	0.466806i	−0.0599659	−	0.0194841i
$575$	2.48486	+	3.42011i	0.103626	+	0.142629i
$576$	−4.09065	+	22.4118i	−0.170444	+	0.933824i
$577$	2.66411	+	8.19928i	0.110908	+	0.341340i	0.991072	−	0.133330i	$-0.0425671\pi$
$577$	2.66411	+	8.19928i	0.110908	+	0.341340i	−0.880163	+	0.474671i	$0.842567\pi$
$578$	0.774531	+	2.38376i	0.0322162	+	0.0991513i
$579$	−11.8551	+	4.74845i	−0.492683	+	0.197339i
$580$	−11.7429	−	16.1628i	−0.487599	−	0.671123i
$581$	1.66747	+	0.541795i	0.0691784	+	0.0224774i
$582$	1.42675	+	0.897496i	0.0591406	+	0.0372024i
$583$	1.01047	+	31.0112i	0.0418492	+	1.28435i
$584$			0.365085i			0.0151073i
$585$	12.9059	−	1.73488i	0.533593	−	0.0717284i
$586$	−3.33745	+	2.42480i	−0.137869	+	0.100168i
$587$	16.1844	−	22.2759i	0.668000	−	0.919423i	−0.331713	−	0.943380i	$-0.607626\pi$
$587$	16.1844	−	22.2759i	0.668000	−	0.919423i	0.999713	+	0.0239570i	$0.00762648\pi$
$588$	0.385176	−	1.52534i	0.0158844	−	0.0629040i
$589$	−4.30093	+	1.39746i	−0.177217	+	0.0575812i
$590$	−0.862349	−	0.626533i	−0.0355023	−	0.0257940i
$591$	−35.8146	+	2.39642i	−1.47322	+	0.0985755i
$592$	6.94044	−	21.3605i	0.285250	−	0.877910i
$593$	−18.3716			−0.754430			−0.377215	−	0.926126i	$-0.623118\pi$
$593$	−18.3716			−0.754430			−0.377215	+	0.926126i	$0.623118\pi$
$594$	−2.18864	+	0.519407i	−0.0898011	+	0.0213115i
$595$	15.3895			0.630907
$596$	−1.33553	+	4.11033i	−0.0547053	+	0.168366i
$597$	24.3530	−	1.62950i	0.996702	−	0.0666910i
$598$	1.93772	+	1.40783i	0.0792392	+	0.0575706i
$599$	13.4488	−	4.36978i	0.549503	−	0.178544i	−0.0210896	−	0.999778i	$-0.506714\pi$
$599$	13.4488	−	4.36978i	0.549503	−	0.178544i	0.570593	+	0.821233i	$0.306714\pi$
$600$	−0.220460	+	0.873048i	−0.00900026	+	0.0356421i
$601$	−22.8952	+	31.5126i	−0.933916	+	1.28543i	0.0243960	+	0.999702i	$0.492234\pi$
$601$	−22.8952	+	31.5126i	−0.933916	+	1.28543i	−0.958312	+	0.285723i	$0.907766\pi$
$602$	1.17651	−	0.854787i	0.0479511	−	0.0348385i
$603$	14.3971	−	1.93534i	0.586296	−	0.0788130i
$604$		−	22.7509i		−	0.925723i
$605$	−5.87260	+	9.30122i	−0.238755	+	0.378148i
$606$	0.442726	+	0.278497i	0.0179845	+	0.0113132i
$607$	4.65715	+	1.51320i	0.189028	+	0.0614189i	0.402001	−	0.915639i	$-0.368315\pi$
$607$	4.65715	+	1.51320i	0.189028	+	0.0614189i	−0.212973	+	0.977058i	$0.568315\pi$
$608$	−0.439929	−	0.605510i	−0.0178415	−	0.0245567i
$609$	−41.4332	+	16.5956i	−1.67896	+	0.672488i
$610$	−0.175300	−	0.539518i	−0.00709769	−	0.0218445i
$611$	−1.15202	−	3.54555i	−0.0466057	−	0.143437i
$612$	6.42696	−	35.2119i	0.259795	−	1.42336i
$613$	−19.0606	−	26.2347i	−0.769852	−	1.05961i	−0.996330	−	0.0855940i	$-0.972721\pi$
$613$	−19.0606	−	26.2347i	−0.769852	−	1.05961i	0.226478	−	0.974016i	$-0.427279\pi$
$614$	0.656701	+	0.213375i	0.0265023	+	0.00861112i
$615$	4.17307	−	6.63392i	0.168274	−	0.267506i
$616$	−4.14767	+	1.49867i	−0.167114	+	0.0603833i
$617$			39.3841i			1.58554i	0.609519	+	0.792772i	$0.291363\pi$
$617$			39.3841i			1.58554i	−0.609519	+	0.792772i	$0.708637\pi$
$618$	0.148574	−	0.123910i	0.00597652	−	0.00498441i
$619$	−5.49629	+	3.99329i	−0.220914	+	0.160504i	−0.692738	−	0.721189i	$-0.743596\pi$
$619$	−5.49629	+	3.99329i	−0.220914	+	0.160504i	0.471824	+	0.881693i	$0.343596\pi$
$620$	10.9056	−	15.0103i	0.437981	−	0.602829i
$621$	−4.37350	−	21.5269i	−0.175503	−	0.863845i
$622$	2.48871	−	0.808630i	0.0997881	−	0.0324231i
$623$	−10.9037	−	7.92203i	−0.436849	−	0.317390i
$624$	−1.95658	−	29.2413i	−0.0783260	−	1.17059i
$625$	0.309017	−	0.951057i	0.0123607	−	0.0380423i
$626$	−1.38316			−0.0552821
$627$	−1.40105	+	2.39707i	−0.0559526	+	0.0957296i
$628$	19.2481			0.768082
$629$	−10.7129	+	32.9710i	−0.427152	+	1.31464i
$630$	0.881471	+	0.475495i	0.0351186	+	0.0189442i
$631$	16.5700	+	12.0388i	0.659642	+	0.479258i	0.866542	−	0.499104i	$-0.166338\pi$
$631$	16.5700	+	12.0388i	0.659642	+	0.479258i	−0.206900	+	0.978362i	$0.566338\pi$
$632$	−5.02947	+	1.63418i	−0.200062	+	0.0650040i
$633$	−35.1176	−	8.86782i	−1.39580	−	0.352464i
$634$	0.701341	−	0.965313i	0.0278538	−	0.0383375i
$635$	−16.1846	+	11.7588i	−0.642264	+	0.466632i
$636$	−20.5796	−	24.6758i	−0.816034	−	0.978460i
$637$			1.98825i			0.0787772i
$638$	−3.61013	−	2.44734i	−0.142927	−	0.0968913i
$639$	−5.46560	+	2.62526i	−0.216216	+	0.103854i
$640$	3.88821	+	1.26336i	0.153695	+	0.0499386i
$641$	−22.0293	−	30.3208i	−0.870107	−	1.19760i	−0.979064	−	0.203553i	$-0.934751\pi$
$641$	−22.0293	−	30.3208i	−0.870107	−	1.19760i	0.108957	−	0.994046i	$-0.465249\pi$
$642$	0.482133	+	1.20371i	0.0190283	+	0.0475066i
$643$	−3.83120	−	11.7912i	−0.151088	−	0.465001i	0.846656	−	0.532141i	$-0.178612\pi$
$643$	−3.83120	−	11.7912i	−0.151088	−	0.465001i	−0.997744	+	0.0671403i	$0.978612\pi$
$644$	−6.62572	−	20.3919i	−0.261090	−	0.803553i
$645$	2.80535	+	7.00394i	0.110461	+	0.275780i
$646$	0.223111	+	0.307087i	0.00877820	+	0.0120822i
$647$	5.05416	+	1.64220i	0.198700	+	0.0645614i	0.406676	−	0.913572i	$-0.366688\pi$
$647$	5.05416	+	1.64220i	0.198700	+	0.0645614i	−0.207976	+	0.978134i	$0.566688\pi$
$648$	2.92466	−	3.65217i	0.114892	−	0.143471i
$649$	26.0182	+	7.52637i	1.02130	+	0.295436i
$650$		−	0.566566i		−	0.0222225i
$651$	−26.5486	−	31.8329i	−1.04052	−	1.24763i
$652$	−1.42024	+	1.03186i	−0.0556208	+	0.0404109i
$653$	−11.7859	+	16.2219i	−0.461219	+	0.634814i	−0.974761	−	0.223251i	$-0.928333\pi$
$653$	−11.7859	+	16.2219i	−0.461219	+	0.634814i	0.513542	+	0.858064i	$0.328333\pi$
$654$	0.479108	+	0.120984i	0.0187346	+	0.00473083i
$655$	−10.1948	+	3.31248i	−0.398343	+	0.129429i
$656$	−14.2697	−	10.3675i	−0.557137	−	0.404783i
$657$	−1.00021	+	1.85419i	−0.0390219	+	0.0723388i
$658$	0.0886036	−	0.272694i	0.00345413	−	0.0106307i
$659$	27.8677			1.08557			0.542785	−	0.839871i	$-0.317370\pi$
$659$	27.8677			1.08557			0.542785	+	0.839871i	$0.317370\pi$
$660$	−1.13025	−	11.3350i	−0.0439950	−	0.441216i
$661$	−40.0686			−1.55849			−0.779244	−	0.626721i	$-0.784397\pi$
$661$	−40.0686			−1.55849			−0.779244	+	0.626721i	$0.784397\pi$
$662$	0.983998	−	3.02843i	0.0382442	−	0.117703i
$663$	3.02008	+	45.1354i	0.117290	+	1.75291i
$664$	−0.288308	−	0.209468i	−0.0111885	−	0.00812894i
$665$	1.17571	−	0.382010i	0.0455919	−	0.0148137i
$666$	−1.63232	+	1.55749i	−0.0632513	+	0.0603516i
$667$	25.0349	−	34.4575i	0.969354	−	1.33420i
$668$	−19.7181	+	14.3261i	−0.762918	+	0.554292i
$669$	−6.11536	+	5.10020i	−0.236434	+	0.197185i
$670$		−	0.632029i		−	0.0244174i
$671$	8.84796	+	11.3795i	0.341572	+	0.439302i
$672$	3.65282	−	5.80688i	0.140911	−	0.224005i
$673$	−10.4957	−	3.41026i	−0.404580	−	0.131456i	0.0996560	−	0.995022i	$-0.468226\pi$
$673$	−10.4957	−	3.41026i	−0.404580	−	0.131456i	−0.504236	+	0.863566i	$0.668226\pi$
$674$	0.177523	+	0.244339i	0.00683791	+	0.00941158i
$675$	−3.51153	+	3.83003i	−0.135159	+	0.147418i
$676$	3.57940	+	11.0162i	0.137669	+	0.423702i
$677$	7.83983	+	24.1285i	0.301309	+	0.927334i	0.981029	+	0.193862i	$0.0621014\pi$
$677$	7.83983	+	24.1285i	0.301309	+	0.927334i	−0.679720	+	0.733472i	$0.737899\pi$
$678$	−2.11590	+	0.847501i	−0.0812606	+	0.0325481i
$679$	11.2089	+	15.4277i	0.430157	+	0.592060i
$680$	−2.97493	−	0.966615i	−0.114083	−	0.0370680i
$681$	26.0964	+	16.4159i	1.00002	+	0.629060i
$682$	1.12555	−	3.89097i	0.0430997	−	0.148993i
$683$		−	23.8680i		−	0.913285i	−0.889650	−	0.456643i	$-0.849052\pi$
$683$		−	23.8680i		−	0.913285i	0.889650	−	0.456643i	$-0.150948\pi$
$684$	−0.383060	−	2.84961i	−0.0146467	−	0.108958i
$685$	−6.74308	+	4.89913i	−0.257640	+	0.187186i
$686$	−1.46350	+	2.01433i	−0.0558766	+	0.0769075i
$687$	6.36279	−	25.1974i	0.242756	−	0.961340i
$688$	16.1491	−	5.24715i	0.615677	−	0.200046i
$689$	32.8523	+	23.8686i	1.25157	+	0.909321i
$690$	−0.953603	+	0.0638072i	−0.0363030	+	0.00242910i
$691$	6.27270	−	19.3054i	0.238625	−	0.734411i	−0.757995	−	0.652260i	$-0.773821\pi$
$691$	6.27270	−	19.3054i	0.238625	−	0.734411i	0.996620	−	0.0821509i	$-0.0261790\pi$
$692$	22.8264			0.867728
$693$	−25.1710	−	3.75178i	−0.956166	−	0.142518i
$694$	1.36957			0.0519883
$695$	1.56300	−	4.81042i	0.0592879	−	0.182470i
$696$	9.05180	−	0.605672i	0.343108	−	0.0229579i
$697$	22.0259	+	16.0028i	0.834292	+	0.606149i
$698$	0.163383	−	0.0530863i	0.00618413	−	0.00200935i
$699$	11.8346	−	46.8662i	0.447624	−	1.77264i
$700$	−2.98117	+	4.10323i	−0.112678	+	0.155088i
$701$	8.55052	−	6.21232i	0.322949	−	0.234636i	−0.414484	−	0.910057i	$-0.636038\pi$
$701$	8.55052	−	6.21232i	0.322949	−	0.234636i	0.737433	+	0.675421i	$0.236038\pi$
$702$	−1.22158	+	2.67855i	−0.0461056	+	0.101095i
$703$			2.78480i			0.105031i
$704$	−25.1731	+	0.820240i	−0.948748	+	0.0309140i
$705$	1.25917	+	0.792082i	0.0474232	+	0.0298315i
$706$	−0.731981	−	0.237835i	−0.0275485	−	0.00895105i
$707$	3.47816	+	4.78727i	0.130810	+	0.180044i
$708$	−26.0373	+	10.4290i	−0.978543	+	0.391945i
$709$	−2.84547	−	8.75747i	−0.106864	−	0.328894i	0.883299	−	0.468809i	$-0.155317\pi$
$709$	−2.84547	−	8.75747i	−0.106864	−	0.328894i	−0.990163	+	0.139916i	$0.955317\pi$
$710$	0.0815214	+	0.250897i	0.00305944	+	0.00941600i
$711$	−30.0207	−	5.47945i	−1.12586	−	0.205495i
$712$	1.61021	+	2.21627i	0.0603453	+	0.0830582i
$713$	37.6190	+	12.2231i	1.40884	+	0.457760i
$714$	−1.85254	+	2.94498i	−0.0693295	+	0.110213i
$715$	4.89225	+	13.5396i	0.182960	+	0.506352i
$716$		−	16.9714i		−	0.634251i
$717$	−17.7633	+	14.8146i	−0.663383	+	0.553260i
$718$	0.427987	−	0.310951i	0.0159723	−	0.0116046i
$719$	−6.06864	+	8.35276i	−0.226322	+	0.311505i	−0.907044	−	0.421037i	$-0.861666\pi$
$719$	−6.06864	+	8.35276i	−0.226322	+	0.311505i	0.680722	+	0.732542i	$0.261666\pi$
$720$	8.07284	+	8.46072i	0.300857	+	0.315312i
$721$	2.08163	−	0.676362i	0.0775239	−	0.0251891i
$722$	−1.98168	−	1.43977i	−0.0737504	−	0.0535828i
$723$	1.93764	+	28.9582i	0.0720618	+	1.07697i
$724$	−5.52872	+	17.0156i	−0.205473	+	0.632382i
$725$	−10.0750			−0.374175
$726$	−1.07298	−	2.24345i	−0.0398222	−	0.0832623i
$727$	−24.8289			−0.920851			−0.460426	−	0.887698i	$-0.652303\pi$
$727$	−24.8289			−0.920851			−0.460426	+	0.887698i	$0.652303\pi$
$728$	−1.78358	+	5.48929i	−0.0661039	+	0.203447i
$729$	24.8595	−	10.5360i	0.920721	−	0.390222i
$730$	0.0741559	+	0.0538774i	0.00274463	+	0.00199409i
$731$	−24.9269	+	8.09924i	−0.921954	+	0.299561i
$732$	−14.4730	−	3.65469i	−0.534937	−	0.135081i
$733$	−1.98126	+	2.72697i	−0.0731796	+	0.100723i	−0.844038	−	0.536284i	$-0.819828\pi$
$733$	−1.98126	+	2.72697i	−0.0731796	+	0.100723i	0.770858	+	0.637007i	$0.219828\pi$
$734$	−3.18485	+	2.31393i	−0.117555	+	0.0854087i
$735$	−0.508141	−	0.609283i	−0.0187431	−	0.0224737i
$736$			6.54648i			0.241307i
$737$	5.45752	+	15.1040i	0.201031	+	0.556364i
$738$	0.767147	+	1.59714i	0.0282391	+	0.0587917i
$739$	13.0473	+	4.23933i	0.479953	+	0.155946i	0.538994	−	0.842309i	$-0.318804\pi$
$739$	13.0473	+	4.23933i	0.479953	+	0.155946i	−0.0590413	+	0.998256i	$0.518804\pi$
$740$	−6.71565	−	9.24330i	−0.246872	−	0.339791i
$741$	1.35111	+	3.37322i	0.0496343	+	0.123918i
$742$	0.965122	+	2.97034i	0.0354307	+	0.109045i
$743$	−13.3049	−	40.9483i	−0.488110	−	1.50225i	−0.827425	−	0.561576i	$-0.810195\pi$
$743$	−13.3049	−	40.9483i	−0.488110	−	1.50225i	0.339315	−	0.940673i	$-0.389805\pi$
$744$	3.13267	+	7.82112i	0.114849	+	0.286736i
$745$	1.28107	+	1.76325i	0.0469349	+	0.0646004i
$746$	1.68714	+	0.548185i	0.0617706	+	0.0200705i
$747$	−0.890382	−	1.85371i	−0.0325774	−	0.0678237i
$748$	39.5504	−	1.28871i	1.44611	−	0.0471198i
$749$			14.6700i			0.536030i
$750$	0.144799	+	0.173620i	0.00528730	+	0.00633970i
$751$	−2.60026	+	1.88920i	−0.0948848	+	0.0689378i	−0.634216	−	0.773156i	$-0.718677\pi$
$751$	−2.60026	+	1.88920i	−0.0948848	+	0.0689378i	0.539331	+	0.842094i	$0.318677\pi$
$752$	1.96784	−	2.70850i	0.0717597	−	0.0987687i
$753$	19.9380	+	5.03470i	0.726581	+	0.183475i
$754$	−5.42876	+	1.76391i	−0.197704	+	0.0642378i
$755$	−9.28202	−	6.74378i	−0.337807	−	0.245431i
$756$	22.9411	−	12.9711i	0.834361	−	0.471754i
$757$	−1.81985	+	5.60091i	−0.0661434	+	0.203569i	−0.978666	−	0.205458i	$-0.934132\pi$
$757$	−1.81985	+	5.60091i	−0.0661434	+	0.203569i	0.912523	+	0.409026i	$0.134132\pi$
$758$	−0.841567			−0.0305671
$759$	22.2379	−	9.75913i	0.807185	−	0.354234i
$760$	−0.251269			−0.00911449
$761$	8.94581	−	27.5324i	0.324285	−	0.998047i	−0.647477	−	0.762085i	$-0.724176\pi$
$761$	8.94581	−	27.5324i	0.324285	−	0.998047i	0.971762	−	0.235962i	$-0.0758242\pi$
$762$	−0.301947	−	4.51261i	−0.0109384	−	0.163475i
$763$	4.52286	+	3.28605i	0.163738	+	0.118963i
$764$	−12.1387	+	3.94410i	−0.439163	+	0.142693i
$765$	−12.4608	−	13.0595i	−0.450523	−	0.472169i
$766$	−1.66240	+	2.28810i	−0.0600649	+	0.0826723i
$767$	28.6777	−	20.8356i	1.03549	−	0.752329i
$768$	19.4927	−	16.2569i	0.703384	−	0.586621i
$769$			11.4514i			0.412950i	0.978452	+	0.206475i	$0.0661992\pi$
$769$			11.4514i			0.412950i	−0.978452	+	0.206475i	$0.933801\pi$
$770$	−0.307682	+	1.06364i	−0.0110881	+	0.0383309i
$771$	17.3917	−	27.6476i	0.626348	−	0.995705i
$772$	13.9052	+	4.51807i	0.500459	+	0.162609i
$773$	−4.57474	−	6.29659i	−0.164542	−	0.226473i	0.718782	−	0.695235i	$-0.244700\pi$
$773$	−4.57474	−	6.29659i	−0.164542	−	0.226473i	−0.883324	+	0.468763i	$0.844700\pi$
$774$	−1.67800	−	0.306272i	−0.0603143	−	0.0110087i
$775$	−2.89135	−	8.89865i	−0.103860	−	0.319649i
$776$	−1.19777	−	3.68635i	−0.0429973	−	0.132332i
$777$	−23.6951	+	9.49084i	−0.850058	+	0.340482i
$778$	2.86897	+	3.94879i	0.102857	+	0.141571i
$779$	2.07994	+	0.675814i	0.0745217	+	0.0242136i
$780$	−12.6193	−	7.93816i	−0.451843	−	0.284232i
$781$	−4.11465	−	5.29192i	−0.147234	−	0.189360i
$782$		−	3.32007i		−	0.118726i
$783$	47.6314	+	21.7228i	1.70221	+	0.776310i
$784$	−1.44451	+	1.04950i	−0.0515897	+	0.0374821i
$785$	5.70547	−	7.85291i	0.203637	−	0.280282i
$786$	0.593329	−	2.34965i	0.0211634	−	0.0838093i
$787$	−7.51741	+	2.44255i	−0.267967	+	0.0870676i	−0.439918	−	0.898038i	$-0.644993\pi$
$787$	−7.51741	+	2.44255i	−0.267967	+	0.0870676i	0.171952	+	0.985105i	$0.444993\pi$
$788$	33.2462	+	24.1548i	1.18435	+	0.860478i
$789$	0.304385	−	0.0203669i	0.0108364	−	0.000725082i
$790$	−0.410291	+	1.26275i	−0.0145975	+	0.0449265i
$791$	−25.7871			−0.916885
$792$	4.63014	+	2.30624i	0.164525	+	0.0819488i
$793$	18.8652			0.669923
$794$	−1.42278	+	4.37886i	−0.0504925	+	0.155400i
$795$	−16.1675	+	1.08179i	−0.573402	+	0.0383673i
$796$	−22.6065	−	16.4246i	−0.801268	−	0.582155i
$797$	−39.4773	+	12.8270i	−1.39836	+	0.454354i	−0.908660	−	0.417537i	$-0.862893\pi$
$797$	−39.4773	+	12.8270i	−1.39836	+	0.454354i	−0.489699	+	0.871891i	$0.662893\pi$
$798$	−0.0684252	+	0.270972i	−0.00242223	+	0.00959230i
$799$	−3.03746	+	4.18070i	−0.107457	+	0.147903i
$800$	1.25280	−	0.910215i	0.0442933	−	0.0321810i
$801$	2.10609	+	15.6674i	0.0744152	+	0.553580i
$802$		−	3.09404i		−	0.109254i
$803$	−2.23738	−	0.647214i	−0.0789554	−	0.0228397i
$804$	−14.0774	−	8.85537i	−0.496471	−	0.312305i
$805$	−10.2835	−	3.34132i	−0.362447	−	0.117766i
$806$	−3.11592	−	4.28870i	−0.109754	−	0.151063i
$807$	−0.230683	+	0.0923975i	−0.00812042	+	0.00325255i
$808$	−0.371672	−	1.14389i	−0.0130754	−	0.0402419i
$809$	8.78591	+	27.0402i	0.308896	+	0.950684i	0.978195	+	0.207691i	$0.0665948\pi$
$809$	8.78591	+	27.0402i	0.308896	+	0.950684i	−0.669298	+	0.742994i	$0.733405\pi$
$810$	−0.310220	−	1.13303i	−0.0109000	−	0.0398104i
$811$	19.7528	+	27.1874i	0.693615	+	0.954679i	0.999996	+	0.00277001i	$0.000881722\pi$
$811$	19.7528	+	27.1874i	0.693615	+	0.954679i	−0.306381	+	0.951909i	$0.599118\pi$
$812$	48.5980	+	15.7904i	1.70545	+	0.554136i
$813$	27.1327	−	43.1328i	0.951585	−	1.51273i
$814$	−2.06459	−	1.39961i	−0.0723639	−	0.0490562i
$815$			0.885296i			0.0310106i
$816$	−31.1979	+	26.0190i	−1.09214	+	0.910846i
$817$	−1.70329	+	1.23751i	−0.0595904	+	0.0432950i
$818$	2.03605	−	2.80239i	0.0711890	−	0.0979832i
$819$	−24.0972	+	22.9925i	−0.842025	+	0.803423i
$820$	−8.53350	+	2.77270i	−0.298003	+	0.0968270i
$821$	−8.45957	−	6.14624i	−0.295241	−	0.214505i	0.430297	−	0.902687i	$-0.358409\pi$
$821$	−8.45957	−	6.14624i	−0.295241	−	0.214505i	−0.725538	+	0.688182i	$0.758409\pi$
$822$	−0.125802	−	1.88012i	−0.00438785	−	0.0655767i
$823$	0.347250	−	1.06873i	0.0121044	−	0.0372534i	−0.944822	−	0.327584i	$-0.893765\pi$
$823$	0.347250	−	1.06873i	0.0121044	−	0.0372534i	0.956926	+	0.290331i	$0.0937654\pi$
$824$	−0.444881			−0.0154982
$825$	−4.95954	−	2.89878i	−0.172669	−	0.100923i
$826$	2.72633			0.0948613
$827$	11.0475	−	34.0008i	0.384160	−	1.18232i	−0.552928	−	0.833229i	$-0.686490\pi$
$827$	11.0475	−	34.0008i	0.384160	−	1.18232i	0.937088	−	0.349094i	$-0.113510\pi$
$828$	−11.9397	+	22.1339i	−0.414935	+	0.769205i
$829$	−3.55774	−	2.58485i	−0.123565	−	0.0897755i	0.524286	−	0.851542i	$-0.324332\pi$
$829$	−3.55774	−	2.58485i	−0.123565	−	0.0897755i	−0.647851	+	0.761767i	$0.724332\pi$
$830$	−0.0850941	+	0.0276487i	−0.00295366	+	0.000959702i
$831$	−33.2746	−	8.40243i	−1.15428	−	0.291477i
$832$	−19.3752	+	26.6677i	−0.671714	+	0.924535i
$833$	2.22968	−	1.61996i	0.0772538	−	0.0561282i
$834$	0.732387	+	0.878164i	0.0253605	+	0.0304083i
$835$			12.2912i			0.425354i
$836$	2.98953	−	1.08020i	0.103395	−	0.0373596i
$837$	−5.51710	+	48.3042i	−0.190699	+	1.66964i
$838$	−2.61345	−	0.849161i	−0.0902801	−	0.0293338i
$839$	4.58343	+	6.30855i	0.158238	+	0.217795i	0.880773	−	0.473538i	$-0.157023\pi$
$839$	4.58343	+	6.30855i	0.158238	+	0.217795i	−0.722536	+	0.691334i	$0.757023\pi$
$840$	−0.856348	−	2.13799i	−0.0295468	−	0.0737675i
$841$	22.4053	+	68.9564i	0.772596	+	2.37781i
$842$	1.14615	+	3.52749i	0.0394989	+	0.121565i
$843$	−8.18714	−	20.4403i	−0.281980	−	0.704000i
$844$	24.3736	+	33.5474i	0.838974	+	1.15475i
$845$	5.55545	+	1.80507i	0.191113	+	0.0620964i
$846$	−0.303151	+	0.145611i	−0.0104225	+	0.00500620i
$847$	−1.83155	−	28.0753i	−0.0629329	−	0.964678i
$848$			36.4671i			1.25229i
$849$	−13.8591	−	16.6177i	−0.475644	−	0.570318i
$850$	−0.635364	+	0.461619i	−0.0217928	+	0.0158334i
$851$	14.3171	−	19.7059i	0.490785	−	0.675508i
$852$	6.73050	+	1.69957i	0.230583	+	0.0582264i
$853$	−36.0474	+	11.7125i	−1.23424	+	0.401029i	−0.852249	−	0.523137i	$-0.824762\pi$
$853$	−36.0474	+	11.7125i	−1.23424	+	0.401029i	−0.381992	+	0.924166i	$0.624762\pi$
$854$	1.17385	+	0.852849i	0.0401682	+	0.0291839i
$855$	−1.27614	−	0.688393i	−0.0436431	−	0.0235425i
$856$	0.921423	−	2.83585i	0.0314936	−	0.0969273i
$857$	16.6747			0.569596			0.284798	−	0.958588i	$-0.408073\pi$
$857$	16.6747			0.569596			0.284798	+	0.958588i	$0.408073\pi$
$858$	−3.17989	−	0.693659i	−0.108560	−	0.0236811i
$859$	45.2451			1.54374			0.771872	−	0.635778i	$-0.219321\pi$
$859$	45.2451			1.54374			0.771872	+	0.635778i	$0.219321\pi$
$860$	2.66925	−	8.21509i	0.0910205	−	0.280132i
$861$	1.33830	+	20.0009i	0.0456091	+	0.681630i
$862$	2.56767	+	1.86552i	0.0874553	+	0.0635400i
$863$	12.2995	−	3.99635i	0.418680	−	0.136037i	−0.0920982	−	0.995750i	$-0.529357\pi$
$863$	12.2995	−	3.99635i	0.418680	−	0.136037i	0.510778	+	0.859713i	$0.329357\pi$
$864$	−7.88541	+	1.60203i	−0.268267	+	0.0545023i
$865$	6.76614	−	9.31279i	0.230056	−	0.316644i
$866$	1.13538	−	0.824904i	0.0385819	−	0.0280314i
$867$	25.5427	−	21.3026i	0.867475	−	0.723473i
$868$			47.4554i			1.61074i
$869$	−1.09872	−	33.7195i	−0.0372714	−	1.14386i
$870$	1.21279	−	1.92798i	0.0411176	−	0.0653646i
$871$	19.9897	+	6.49503i	0.677324	+	0.220076i
$872$	−0.667915	−	0.919306i	−0.0226185	−	0.0311316i
$873$	4.01615	−	22.0036i	0.135926	−	0.744710i
$874$	−0.0824134	−	0.253642i	−0.00278768	−	0.00857958i
$875$	0.790380	+	2.43254i	0.0267197	+	0.0822348i
$876$	2.23903	−	0.896818i	0.0756497	−	0.0303007i
$877$	2.90071	+	3.99249i	0.0979500	+	0.134817i	0.855179	−	0.518333i	$-0.173447\pi$
$877$	2.90071	+	3.99249i	0.0979500	+	0.134817i	−0.757229	+	0.653150i	$0.773447\pi$
$878$	4.16074	+	1.35191i	0.140418	+	0.0456247i
$879$	46.3369	+	29.1482i	1.56290	+	0.983145i
$880$	−7.25449	+	10.7013i	−0.244549	+	0.360739i
$881$			23.5554i			0.793600i	0.917905	+	0.396800i	$0.129879\pi$
$881$			23.5554i			0.793600i	−0.917905	+	0.396800i	$0.870121\pi$
$882$	0.177763	−	0.0238958i	0.00598559	−	0.000804614i
$883$	18.5807	−	13.4996i	0.625289	−	0.454299i	−0.229476	−	0.973314i	$-0.573701\pi$
$883$	18.5807	−	13.4996i	0.625289	−	0.454299i	0.854765	+	0.519015i	$0.173701\pi$
$884$	30.4411	−	41.8985i	1.02384	−	1.40920i
$885$	−3.46307	+	13.7141i	−0.116410	+	0.460996i
$886$	−2.37128	+	0.770476i	−0.0796647	+	0.0258846i
$887$	20.3042	+	14.7519i	0.681748	+	0.495319i	0.873937	−	0.486039i	$-0.161559\pi$
$887$	20.3042	+	14.7519i	0.681748	+	0.495319i	−0.192189	+	0.981358i	$0.561559\pi$
$888$	5.17662	−	0.346376i	0.173716	−	0.0116236i
$889$	15.8117	−	48.6635i	0.530308	−	1.63212i
$890$	0.687795			0.0230549
$891$	17.1971	+	24.3979i	0.576125	+	0.817361i
$892$	9.11658			0.305246
$893$	−0.128275	+	0.394790i	−0.00429256	+	0.0132111i
$894$	−0.491632	+	0.0328960i	−0.0164426	+	0.00110021i
$895$	−6.92406	−	5.03062i	−0.231446	−	0.168155i
$896$	−9.94498	+	3.23132i	−0.332238	+	0.107951i
$897$	7.78160	−	30.8160i	0.259820	−	1.02892i
$898$	−1.39692	+	1.92269i	−0.0466157	+	0.0641611i
$899$	−76.2639	+	55.4090i	−2.54354	+	1.84799i
$900$	5.89586	−	0.792553i	0.196529	−	0.0264184i
$901$		−	56.2889i		−	1.87525i
$902$	−1.54639	+	1.20237i	−0.0514892	+	0.0400346i
$903$	−16.3346	−	10.2753i	−0.543582	−	0.341940i
$904$	4.98490	+	1.61969i	0.165795	+	0.0538702i
$905$	5.30330	+	7.29937i	0.176288	+	0.242639i
$906$	2.40785	−	0.964440i	0.0799956	−	0.0320414i
$907$	0.659365	+	2.02932i	0.0218939	+	0.0673824i	0.961407	−	0.275132i	$-0.0887215\pi$
$907$	0.659365	+	2.02932i	0.0218939	+	0.0673824i	−0.939513	+	0.342514i	$0.888722\pi$
$908$	−10.9072	−	33.5689i	−0.361968	−	1.11402i
$909$	1.24623	−	6.82782i	0.0413348	−	0.226464i
$910$	0.851770	+	1.17236i	0.0282359	+	0.0388634i
$911$	−10.9254	−	3.54987i	−0.361973	−	0.117612i	0.122383	−	0.992483i	$-0.460946\pi$
$911$	−10.9254	−	3.54987i	−0.361973	−	0.117612i	−0.484357	+	0.874871i	$0.660946\pi$
$912$	−1.73755	+	2.76218i	−0.0575360	+	0.0914649i
$913$	1.79481	−	1.39552i	0.0593994	−	0.0461850i
$914$			3.27144i			0.108210i
$915$	−5.78110	+	4.82143i	−0.191117	+	0.159391i
$916$	−24.0708	+	17.4884i	−0.795320	+	0.577834i
$917$	16.1155	−	22.1811i	0.532181	−	0.732484i
$918$	3.99911	−	0.812477i	0.131990	−	0.0268158i
$919$	−16.9659	+	5.51254i	−0.559652	+	0.181842i	−0.575165	−	0.818038i	$-0.695062\pi$
$919$	−16.9659	+	5.51254i	−0.559652	+	0.181842i	0.0155127	+	0.999880i	$0.495062\pi$
$920$	1.77804	+	1.29182i	0.0586202	+	0.0425900i
$921$	−0.611730	−	9.14234i	−0.0201572	−	0.301250i
$922$	0.628680	−	1.93488i	0.0207045	−	0.0637218i
$923$	−8.77305			−0.288769
$924$	19.3798	+	21.7557i	0.637548	+	0.715711i
$925$	−5.76176			−0.189445
$926$	−0.271750	+	0.836359i	−0.00893025	+	0.0274845i
$927$	−2.25945	−	1.21882i	−0.0742102	−	0.0400315i
$928$	−12.6220	−	9.17039i	−0.414336	−	0.301033i
$929$	−45.6689	+	14.8387i	−1.49835	+	0.486843i	−0.939536	−	0.342450i	$-0.888743\pi$
$929$	−45.6689	+	14.8387i	−1.49835	+	0.486843i	−0.558813	+	0.829294i	$0.688743\pi$
$930$	2.05092	+	0.517895i	0.0672525	+	0.0169825i
$931$	0.130128	−	0.179106i	0.00426478	−	0.00586997i
$932$	−44.7707	+	32.5278i	−1.46651	+	1.06548i
$933$	−22.2404	−	26.6673i	−0.728119	−	0.873047i
$934$		−	4.76521i		−	0.155923i
$935$	11.1977	−	16.5179i	0.366203	−	0.540194i
$936$	6.10239	−	2.93112i	0.199463	−	0.0958068i
$937$	23.3319	+	7.58098i	0.762219	+	0.247660i	0.664231	−	0.747528i	$-0.268759\pi$
$937$	23.3319	+	7.58098i	0.762219	+	0.247660i	0.0979880	+	0.995188i	$0.468759\pi$
$938$	0.950188	+	1.30782i	0.0310247	+	0.0427019i
$939$	6.82454	+	17.0384i	0.222710	+	0.556026i
$940$	−0.526281	−	1.61973i	−0.0171654	−	0.0528297i
$941$	−10.5426	−	32.4467i	−0.343678	−	1.05773i	−0.962288	−	0.272033i	$-0.912304\pi$
$941$	−10.5426	−	32.4467i	−0.343678	−	1.05773i	0.618610	−	0.785698i	$-0.287696\pi$
$942$	0.815950	+	2.03713i	0.0265851	+	0.0663732i
$943$	−11.2437	−	15.4756i	−0.366144	−	0.503954i
$944$	30.2752	+	9.83701i	0.985374	+	0.320167i
$945$	1.50816	−	13.2045i	0.0490604	−	0.429541i
$946$	−0.0614123	−	1.88474i	−0.00199669	−	0.0612782i
$947$			5.29676i			0.172121i	0.996290	+	0.0860607i	$0.0274279\pi$
$947$			5.29676i			0.172121i	−0.996290	+	0.0860607i	$0.972572\pi$
$948$	22.3769	+	26.8309i	0.726769	+	0.871427i
$949$	−2.46608	+	1.79171i	−0.0800523	+	0.0581614i
$950$	−0.0370810	+	0.0510376i	−0.00120307	+	0.00165588i
$951$	−15.3516	−	3.87656i	−0.497810	−	0.125706i
$952$	7.60906	−	2.47233i	0.246611	−	0.0801288i
$953$	2.74912	+	1.99736i	0.0890529	+	0.0647007i	0.631421	−	0.775440i	$-0.282472\pi$
$953$	2.74912	+	1.99736i	0.0890529	+	0.0647007i	−0.542368	+	0.840141i	$0.682472\pi$
$954$	1.73918	−	3.22409i	0.0563080	−	0.104384i
$955$	−1.98900	+	6.12150i	−0.0643624	+	0.198087i
$956$	26.4809			0.856455
$957$	−12.3350	+	56.5466i	−0.398735	+	1.82789i
$958$	1.24539			0.0402368
$959$	6.58774	−	20.2750i	0.212729	−	0.654713i
$960$	−0.878141	−	13.1239i	−0.0283419	−	0.423571i
$961$	−45.7465	−	33.2368i	−1.47569	−	1.07215i
$962$	−3.10464	+	1.00876i	−0.100098	+	0.0325237i
$963$	12.4490	−	11.8783i	0.401163	−	0.382772i
$964$	19.5306	−	26.8815i	0.629037	−	0.865795i
$965$	5.96504	−	4.33386i	0.192022	−	0.139512i
$966$	1.87731	−	1.56567i	0.0604014	−	0.0503747i
$967$		−	59.7411i		−	1.92115i	−0.278029	−	0.960573i	$-0.589681\pi$
$967$		−	59.7411i		−	1.92115i	0.278029	−	0.960573i	$-0.410319\pi$
$968$	−1.40935	+	5.54226i	−0.0452984	+	0.178135i
$969$	2.68200	−	4.26356i	0.0861581	−	0.136965i
$970$	−0.925529	−	0.300722i	−0.0297169	−	0.00965562i
$971$	18.3382	+	25.2404i	0.588501	+	0.810003i	0.994595	−	0.103829i	$-0.0331094\pi$
$971$	18.3382	+	25.2404i	0.588501	+	0.810003i	−0.406094	+	0.913831i	$0.633109\pi$
$972$	−29.5827	−	8.96520i	−0.948865	−	0.287559i
$973$	3.99772	+	12.3037i	0.128161	+	0.394439i
$974$	−0.899495	−	2.76836i	−0.0288217	−	0.0887040i
$975$	−6.97922	+	2.79545i	−0.223514	+	0.0895261i
$976$	9.95804	+	13.7061i	0.318749	+	0.438720i
$977$	−27.8798	−	9.05868i	−0.891953	−	0.289813i	−0.173041	−	0.984915i	$-0.555359\pi$
$977$	−27.8798	−	9.05868i	−0.891953	−	0.289813i	−0.718911	+	0.695102i	$0.755359\pi$
$978$	−0.169413	−	0.106569i	−0.00541723	−	0.00340771i
$979$	−16.4367	+	5.93905i	−0.525319	+	0.189813i
$980$			0.908299i			0.0290146i
$981$	−0.873605	−	6.49882i	−0.0278921	−	0.207491i
$982$	4.17934	−	3.03647i	0.133368	−	0.0968976i
$983$	−2.80618	+	3.86238i	−0.0895034	+	0.123191i	−0.851420	−	0.524484i	$-0.824258\pi$
$983$	−2.80618	+	3.86238i	−0.0895034	+	0.123191i	0.761917	+	0.647675i	$0.224258\pi$
$984$	0.997555	−	3.95043i	0.0318009	−	0.125935i
$985$	19.7095	−	6.40401i	0.627998	−	0.204049i
$986$	6.40127	+	4.65079i	0.203858	+	0.148111i
$987$	−3.79634	+	0.254020i	−0.120839	+	0.00808554i
$988$	1.28556	−	3.95654i	0.0408990	−	0.125874i
$989$	18.4151			0.585566
$990$	1.15173	−	0.600127i	0.0366045	−	0.0190733i
$991$	−20.0130			−0.635735			−0.317867	−	0.948135i	$-0.602967\pi$
$991$	−20.0130			−0.635735			−0.317867	+	0.948135i	$0.602967\pi$
$992$	4.47739	−	13.7800i	0.142157	−	0.437515i
$993$	−42.1607	+	2.82105i	−1.33793	+	0.0895232i
$994$	−0.545884	−	0.396608i	−0.0173144	−	0.0125796i
$995$	−13.4020	+	4.35456i	−0.424870	+	0.138049i
$996$	−0.576426	+	2.28271i	−0.0182648	+	0.0723305i
$997$	−9.26976	+	12.7587i	−0.293576	+	0.404073i	−0.930172	−	0.367125i	$-0.880342\pi$
$997$	−9.26976	+	12.7587i	−0.293576	+	0.404073i	0.636595	+	0.771198i	$0.280342\pi$
$998$	−2.60269	+	1.89096i	−0.0823866	+	0.0598574i
$999$	27.2399	+	12.4230i	0.861831	+	0.393047i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.p.b.101.7	yes	48
3.2	odd	2	inner	165.2.p.b.101.6	✓	48
5.2	odd	4		825.2.bs.h.299.8		48
5.3	odd	4		825.2.bs.g.299.5		48
5.4	even	2		825.2.bi.e.101.6		48
11.6	odd	10	inner	165.2.p.b.116.6	yes	48
15.2	even	4		825.2.bs.g.299.6		48
15.8	even	4		825.2.bs.h.299.7		48
15.14	odd	2		825.2.bi.e.101.7		48
33.17	even	10	inner	165.2.p.b.116.7	yes	48
55.17	even	20		825.2.bs.h.149.7		48
55.28	even	20		825.2.bs.g.149.6		48
55.39	odd	10		825.2.bi.e.776.7		48
165.17	odd	20		825.2.bs.g.149.5		48
165.83	odd	20		825.2.bs.h.149.8		48
165.149	even	10		825.2.bi.e.776.6		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.b.101.6	✓	48	3.2	odd	2	inner
165.2.p.b.101.7	yes	48	1.1	even	1	trivial
165.2.p.b.116.6	yes	48	11.6	odd	10	inner
165.2.p.b.116.7	yes	48	33.17	even	10	inner
825.2.bi.e.101.6		48	5.4	even	2
825.2.bi.e.101.7		48	15.14	odd	2
825.2.bi.e.776.6		48	165.149	even	10
825.2.bi.e.776.7		48	55.39	odd	10
825.2.bs.g.149.5		48	165.17	odd	20
825.2.bs.g.149.6		48	55.28	even	20
825.2.bs.g.299.5		48	5.3	odd	4
825.2.bs.g.299.6		48	15.2	even	4
825.2.bs.h.149.7		48	55.17	even	20
825.2.bs.h.149.8		48	165.83	odd	20
825.2.bs.h.299.7		48	15.8	even	4
825.2.bs.h.299.8		48	5.2	odd	4

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.p (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0403345 - 0.124137i) q^{2} +(-1.72819 + 0.115636i) q^{3} +(1.60425 + 1.16556i) q^{4} +(0.951057 - 0.309017i) q^{5} +(-0.0553509 + 0.219196i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(0.420589 - 0.305576i) q^{8} +(2.97326 - 0.399681i) q^{9} +O(q^{10})\)	\(q+(0.0403345 - 0.124137i) q^{2} +(-1.72819 + 0.115636i) q^{3} +(1.60425 + 1.16556i) q^{4} +(0.951057 - 0.309017i) q^{5} +(-0.0553509 + 0.219196i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(0.420589 - 0.305576i) q^{8} +(2.97326 - 0.399681i) q^{9} -0.130525i q^{10} +(1.12707 + 3.11925i) q^{11} +(-2.90722 - 1.82879i) q^{12} +(4.12821 + 1.34134i) q^{13} +(0.196231 + 0.270088i) q^{14} +(-1.60787 + 0.644015i) q^{15} +(1.20457 + 3.70728i) q^{16} +(-1.85931 - 5.72238i) q^{17} +(0.0703097 - 0.385212i) q^{18} +(-0.284091 - 0.391017i) q^{19} +(1.88591 + 0.612769i) q^{20} +(2.35886 - 3.74988i) q^{21} +(0.432673 - 0.0140982i) q^{22} +4.22749i q^{23} +(-0.691521 + 0.576728i) q^{24} +(0.809017 - 0.587785i) q^{25} +(0.333019 - 0.458361i) q^{26} +(-5.09212 + 1.03454i) q^{27} +(-4.82364 + 1.56729i) q^{28} +(-8.15082 - 5.92192i) q^{29} +(0.0150934 + 0.225572i) q^{30} +(2.89135 - 8.89865i) q^{31} +1.54855 q^{32} +(-2.30849 - 5.26031i) q^{33} -0.785353 q^{34} +(-0.790380 + 2.43254i) q^{35} +(5.23570 + 2.82431i) q^{36} +(-4.66136 - 3.38667i) q^{37} +(-0.0599983 + 0.0194946i) q^{38} +(-7.28943 - 1.84071i) q^{39} +(0.305576 - 0.420589i) q^{40} +(-3.66070 + 2.65965i) q^{41} +(-0.370355 - 0.444071i) q^{42} -4.35604i q^{43} +(-1.82755 + 6.31772i) q^{44} +(2.70423 - 1.29891i) q^{45} +(0.524787 + 0.170514i) q^{46} +(-0.504824 - 0.694830i) q^{47} +(-2.51042 - 6.26759i) q^{48} +(0.141546 + 0.435633i) q^{49} +(-0.0403345 - 0.124137i) q^{50} +(3.87495 + 9.67434i) q^{51} +(5.05929 + 6.96351i) q^{52} +(8.89730 + 2.89091i) q^{53} +(-0.0769640 + 0.673848i) q^{54} +(2.03581 + 2.61830i) q^{55} +1.32970i q^{56} +(0.536178 + 0.642900i) q^{57} +(-1.06389 + 0.772959i) q^{58} +(4.80009 - 6.60676i) q^{59} +(-3.33006 - 0.840901i) q^{60} +(4.13344 - 1.34304i) q^{61} +(-0.988029 - 0.717845i) q^{62} +(-3.64293 + 6.75326i) q^{63} +(-2.34668 + 7.22234i) q^{64} +4.34066 q^{65} +(-0.746110 + 0.0743969i) q^{66} +4.84220 q^{67} +(3.68695 - 11.3473i) q^{68} +(-0.488850 - 7.30589i) q^{69} +(0.270088 + 0.196231i) q^{70} +(-1.92221 + 0.624564i) q^{71} +(1.12839 - 1.07666i) q^{72} +(-0.412774 + 0.568135i) q^{73} +(-0.608425 + 0.442046i) q^{74} +(-1.33016 + 1.10935i) q^{75} -0.958414i q^{76} +(-8.14891 - 2.35726i) q^{77} +(-0.522516 + 0.830643i) q^{78} +(-9.67436 - 3.14339i) q^{79} +(2.29123 + 3.15360i) q^{80} +(8.68051 - 2.37671i) q^{81} +(0.182508 + 0.561703i) q^{82} +(-0.211827 - 0.651936i) q^{83} +(8.15491 - 3.26636i) q^{84} +(-3.53663 - 4.86775i) q^{85} +(-0.540745 - 0.175699i) q^{86} +(14.7709 + 9.29165i) q^{87} +(1.42720 + 0.967515i) q^{88} +5.26944i q^{89} +(-0.0521684 - 0.388085i) q^{90} +(-8.98188 + 6.52572i) q^{91} +(-4.92738 + 6.78196i) q^{92} +(-3.96778 + 15.7129i) q^{93} +(-0.106616 + 0.0346416i) q^{94} +(-0.391017 - 0.284091i) q^{95} +(-2.67618 + 0.179068i) q^{96} +(2.30394 - 7.09081i) q^{97} +0.0597872 q^{98} +(4.59779 + 8.82385i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9}+O(q^{10}) \) 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9	\( 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9} + 8 q^{12} + 6 q^{15} + 32 q^{16} - 30 q^{18} - 100 q^{19} - 82 q^{22} + 100 q^{24} + 12 q^{25} + 14 q^{27} + 30 q^{28} + 10 q^{30} + 10 q^{31} - 46 q^{33} - 28 q^{34} + 14 q^{36} + 6 q^{37} - 50 q^{40} - 52 q^{42} + 32 q^{45} + 20 q^{46} - 80 q^{48} - 26 q^{49} - 30 q^{51} + 40 q^{52} + 6 q^{55} - 70 q^{57} + 92 q^{58} + 44 q^{60} + 70 q^{61} - 20 q^{63} + 18 q^{64} + 76 q^{66} + 20 q^{67} + 42 q^{69} - 4 q^{70} - 80 q^{72} + 90 q^{73} - 6 q^{75} - 108 q^{78} - 100 q^{79} + 38 q^{81} - 34 q^{82} + 70 q^{84} + 20 q^{85} + 74 q^{88} + 20 q^{90} - 86 q^{91} + 76 q^{93} + 10 q^{94} - 30 q^{96} + 6 q^{97} - 28 q^{99}+O(q^{100}) \) 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9 + 8 * q^12 + 6 * q^15 + 32 * q^16 - 30 * q^18 - 100 * q^19 - 82 * q^22 + 100 * q^24 + 12 * q^25 + 14 * q^27 + 30 * q^28 + 10 * q^30 + 10 * q^31 - 46 * q^33 - 28 * q^34 + 14 * q^36 + 6 * q^37 - 50 * q^40 - 52 * q^42 + 32 * q^45 + 20 * q^46 - 80 * q^48 - 26 * q^49 - 30 * q^51 + 40 * q^52 + 6 * q^55 - 70 * q^57 + 92 * q^58 + 44 * q^60 + 70 * q^61 - 20 * q^63 + 18 * q^64 + 76 * q^66 + 20 * q^67 + 42 * q^69 - 4 * q^70 - 80 * q^72 + 90 * q^73 - 6 * q^75 - 108 * q^78 - 100 * q^79 + 38 * q^81 - 34 * q^82 + 70 * q^84 + 20 * q^85 + 74 * q^88 + 20 * q^90 - 86 * q^91 + 76 * q^93 + 10 * q^94 - 30 * q^96 + 6 * q^97 - 28 * q^99

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