LMFDB - Embedded newform 165.2.p.b.101.6

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			101.6
Character	$\chi$	$=$	165.101
Dual form			165.2.p.b.116.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0403345 + 0.124137i) q^{2} +(-0.644015 + 1.60787i) q^{3} +(1.60425 + 1.16556i) q^{4} +(-0.951057 + 0.309017i) q^{5} +(-0.173620 - 0.144799i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(-0.420589 + 0.305576i) q^{8} +(-2.17049 - 2.07099i) q^{9} +O(q^{10})$	\(q+(-0.0403345 + 0.124137i) q^{2} +(-0.644015 + 1.60787i) q^{3} +(1.60425 + 1.16556i) q^{4} +(-0.951057 + 0.309017i) q^{5} +(-0.173620 - 0.144799i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(-0.420589 + 0.305576i) q^{8} +(-2.17049 - 2.07099i) 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} +(0.115636 - 1.72819i) q^{15} +(1.20457 + 3.70728i) q^{16} +(1.85931 + 5.72238i) q^{17} +(0.344631 - 0.185905i) 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} +(-0.220460 - 0.873048i) q^{24} +(0.809017 - 0.587785i) q^{25} +(-0.333019 + 0.458361i) q^{26} +(4.72770 - 2.15612i) q^{27} +(-4.82364 + 1.56729i) q^{28} +(8.15082 + 5.92192i) q^{29} +(0.209867 + 0.0840602i) q^{30} +(2.89135 - 8.89865i) q^{31} -1.54855 q^{32} +(5.74120 + 0.196654i) q^{33} -0.785353 q^{34} +(0.790380 - 2.43254i) q^{35} +(-1.06816 - 5.85221i) q^{36} +(-4.66136 - 3.38667i) q^{37} +(0.0599983 - 0.0194946i) q^{38} +(-4.81533 + 5.77379i) q^{39} +(0.305576 - 0.420589i) q^{40} +(3.66070 - 2.65965i) q^{41} +(0.560642 - 0.141572i) 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} +(-6.73659 - 0.450757i) q^{48} +(0.141546 + 0.435633i) q^{49} +(0.0403345 + 0.124137i) q^{50} +(-10.3983 - 0.695766i) 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} +(0.811664 - 0.204960i) q^{57} +(-1.06389 + 0.772959i) q^{58} +(-4.80009 + 6.60676i) q^{59} +(2.19981 - 2.63766i) q^{60} +(4.13344 - 1.34304i) q^{61} +(0.988029 + 0.717845i) q^{62} +(7.54846 - 1.37776i) q^{63} +(-2.34668 + 7.22234i) q^{64} -4.34066 q^{65} +(-0.255980 + 0.704762i) q^{66} +4.84220 q^{67} +(-3.68695 + 11.3473i) q^{68} +(6.79725 + 2.72257i) q^{69} +(0.270088 + 0.196231i) q^{70} +(1.92221 - 0.624564i) q^{71} +(1.54573 + 0.207785i) q^{72} +(-0.412774 + 0.568135i) q^{73} +(0.608425 - 0.442046i) q^{74} +(0.424063 + 1.67934i) 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} +(0.422042 + 8.99010i) q^{81} +(0.182508 + 0.561703i) q^{82} +(0.211827 + 0.651936i) q^{83} +(0.586491 - 8.76514i) 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} +(-0.270316 + 0.283303i) q^{90} +(-8.98188 + 6.52572i) q^{91} +(4.92738 - 6.78196i) q^{92} +(12.4458 + 10.3798i) q^{93} +(-0.106616 + 0.0346416i) q^{94} +(0.391017 + 0.284091i) q^{95} +(0.997290 - 2.48987i) q^{96} +(2.30394 - 7.09081i) q^{97} -0.0597872 q^{98} +(-4.01361 + 9.10445i) 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	−0.964304	−	0.264799i	$-0.914694\pi$
$2$	−0.0403345	+	0.124137i	−0.0285208	+	0.0877780i	0.935783	+	0.352577i	$0.114694\pi$
$3$	−0.644015	+	1.60787i	−0.371822	+	0.928304i
$3$	−0.644015	+	1.60787i	−0.371822	+	0.928304i
$4$	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
$6$	−0.173620	−	0.144799i	−0.0708800	−	0.0591138i
$7$	−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
$9$	−2.17049	−	2.07099i	−0.723496	−	0.690328i
$10$		−	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
$15$	0.115636	−	1.72819i	0.0298571	−	0.446216i
$16$	1.20457	+	3.70728i	0.301142	+	0.926821i
$17$	1.85931	+	5.72238i	0.450950	+	1.38788i	0.875825	+	0.482629i	$0.160318\pi$
$17$	1.85931	+	5.72238i	0.450950	+	1.38788i	−0.424875	+	0.905252i	$0.639682\pi$
$18$	0.344631	−	0.185905i	0.0812303	−	0.0438183i
$19$	−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	$-0.854714\pi$
$23$		−	4.22749i		−	0.881493i	0.897632	−	0.440746i	$-0.145286\pi$
$24$	−0.220460	−	0.873048i	−0.0450013	−	0.178210i
$25$	0.809017	−	0.587785i	0.161803	−	0.117557i
$26$	−0.333019	+	0.458361i	−0.0653104	+	0.0898920i
$27$	4.72770	−	2.15612i	0.909847	−	0.414945i
$28$	−4.82364	+	1.56729i	−0.911582	+	0.296191i
$29$	8.15082	+	5.92192i	1.51357	+	1.09967i	0.964562	+	0.263855i	$0.0849941\pi$
$29$	8.15082	+	5.92192i	1.51357	+	1.09967i	0.549007	+	0.835818i	$0.315006\pi$
$30$	0.209867	+	0.0840602i	0.0383164	+	0.0153472i
$31$	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
$33$	5.74120	+	0.196654i	0.999414	+	0.0342330i
$34$	−0.785353			−0.134687
$35$	0.790380	−	2.43254i	0.133599	−	0.411174i
$36$	−1.06816	−	5.85221i	−0.178026	−	0.975368i
$37$	−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
$39$	−4.81533	+	5.77379i	−0.771070	+	0.924546i
$40$	0.305576	−	0.420589i	0.0483158	−	0.0665010i
$41$	3.66070	−	2.65965i	0.571705	−	0.415368i	−0.264019	−	0.964517i	$-0.585048\pi$
$41$	3.66070	−	2.65965i	0.571705	−	0.415368i	0.835724	+	0.549149i	$0.185048\pi$
$42$	0.560642	−	0.141572i	0.0865089	−	0.0218451i
$43$		−	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	0.844246	−	0.535955i	$-0.180048\pi$
$47$	0.504824	+	0.694830i	0.0736361	+	0.101351i	−0.770610	+	0.637307i	$0.780048\pi$
$48$	−6.73659	−	0.450757i	−0.972343	−	0.0650612i
$49$	0.141546	+	0.435633i	0.0202208	+	0.0622333i
$50$	0.0403345	+	0.124137i	0.00570416	+	0.0175556i
$51$	−10.3983	−	0.695766i	−1.45605	−	0.0974267i
$52$	5.05929	+	6.96351i	0.701597	+	0.965665i
$53$	−8.89730	−	2.89091i	−1.22214	−	0.397097i	−0.374278	−	0.927316i	$-0.622109\pi$
$53$	−8.89730	−	2.89091i	−1.22214	−	0.397097i	−0.847860	+	0.530220i	$0.822109\pi$
$54$	0.0769640	+	0.673848i	0.0104735	+	0.0916991i
$55$	2.03581	+	2.61830i	0.274509	+	0.353051i
$56$		−	1.32970i		−	0.177689i
$57$	0.811664	−	0.204960i	0.107508	−	0.0271476i
$58$	−1.06389	+	0.772959i	−0.139695	+	0.101495i
$59$	−4.80009	+	6.60676i	−0.624919	+	0.860127i	−0.997699	−	0.0677922i	$-0.978405\pi$
$59$	−4.80009	+	6.60676i	−0.624919	+	0.860127i	0.372780	+	0.927920i	$0.378405\pi$
$60$	2.19981	−	2.63766i	0.283994	−	0.340521i
$61$	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
$63$	7.54846	−	1.37776i	0.951017	−	0.173582i
$64$	−2.34668	+	7.22234i	−0.293335	+	0.902792i
$65$	−4.34066			−0.538393
$66$	−0.255980	+	0.704762i	−0.0315090	+	0.0867502i
$67$	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
$69$	6.79725	+	2.72257i	0.818293	+	0.327759i
$70$	0.270088	+	0.196231i	0.0322817	+	0.0234540i
$71$	1.92221	−	0.624564i	0.228125	−	0.0741222i	−0.192724	−	0.981253i	$-0.561732\pi$
$71$	1.92221	−	0.624564i	0.228125	−	0.0741222i	0.420849	+	0.907131i	$0.361732\pi$
$72$	1.54573	+	0.207785i	0.182166	+	0.0244877i
$73$	−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
$75$	0.424063	+	1.67934i	0.0489665	+	0.193913i
$76$		−	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
$81$	0.422042	+	8.99010i	0.0468935	+	0.998900i
$82$	0.182508	+	0.561703i	0.0201547	+	0.0620298i
$83$	0.211827	+	0.651936i	0.0232510	+	0.0715593i	0.962009	−	0.273019i	$-0.0880221\pi$
$83$	0.211827	+	0.651936i	0.0232510	+	0.0715593i	−0.938758	+	0.344578i	$0.888022\pi$
$84$	0.586491	−	8.76514i	0.0639914	−	0.956355i
$85$	−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	$-0.909904\pi$
$89$		−	5.26944i		−	0.558560i	0.960210	−	0.279280i	$-0.0900957\pi$
$90$	−0.270316	+	0.283303i	−0.0284938	+	0.0298628i
$91$	−8.98188	+	6.52572i	−0.941557	+	0.684081i
$92$	4.92738	−	6.78196i	0.513715	−	0.707068i
$93$	12.4458	+	10.3798i	1.29057	+	1.07633i
$94$	−0.106616	+	0.0346416i	−0.0109966	+	0.00357301i
$95$	0.391017	+	0.284091i	0.0401175	+	0.0291471i
$96$	0.997290	−	2.48987i	0.101785	−	0.254121i
$97$	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
$99$	−4.01361	+	9.10445i	−0.403383	+	0.915031i
$100$	1.98296			0.198296
$101$	−0.714923	+	2.20031i	−0.0711375	+	0.218939i	−0.980304	−	0.197494i	$-0.936720\pi$
$101$	−0.714923	+	2.20031i	−0.0711375	+	0.218939i	0.909167	+	0.416432i	$0.136720\pi$
$102$	0.505779	−	1.26274i	0.0500796	−	0.125030i
$103$	−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
$105$	3.40219	+	2.83742i	0.332020	+	0.276904i
$106$	0.717737	−	0.987880i	0.0697127	−	0.0959513i
$107$	−4.64017	+	3.37128i	−0.448582	+	0.325914i	−0.789036	−	0.614347i	$-0.789419\pi$
$107$	−4.64017	+	3.37128i	−0.448582	+	0.325914i	0.340454	+	0.940261i	$0.389419\pi$
$108$	10.0975	+	2.05145i	0.971632	+	0.197401i
$109$		−	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	0.433523	−	0.901142i	$-0.357270\pi$
$113$	−5.92609	−	8.15657i	−0.557480	−	0.767305i	−0.991003	+	0.133837i	$0.957270\pi$
$114$	−0.00729501	+	0.109024i	−0.000683240	+	0.0102111i
$115$	1.30637	+	4.02058i	0.121819	+	0.374921i
$116$	6.17363	+	19.0005i	0.573207	+	1.76415i
$117$	−6.18235	−	11.4608i	−0.571559	−	1.05955i
$118$	−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
$123$	1.91883	+	7.59878i	0.173015	+	0.685159i
$124$	15.0103	−	10.9056i	1.34797	−	0.979355i
$125$	−0.587785	+	0.809017i	−0.0525731	+	0.0723607i
$126$	−0.133432	+	0.992614i	−0.0118871	+	0.0884291i
$127$	−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
$129$	7.00394	+	2.80535i	0.616662	+	0.246998i
$130$	0.175078	−	0.538836i	0.0153554	−	0.0472590i
$131$	10.7194			0.936560			0.468280	−	0.883580i	$-0.344874\pi$
$131$	10.7194			0.936560			0.468280	+	0.883580i	$0.344874\pi$
$132$	8.98111	+	7.00717i	0.781705	+	0.609896i
$133$	1.23621			0.107193
$134$	−0.195308	+	0.601096i	−0.0168720	+	0.0519268i
$135$	−3.83003	+	3.51153i	−0.329637	+	0.302224i
$136$	−2.53063	−	1.83861i	−0.217000	−	0.157660i
$137$	7.92696	−	2.57563i	0.677246	−	0.220051i	0.0498569	−	0.998756i	$-0.484123\pi$
$137$	7.92696	−	2.57563i	0.677246	−	0.220051i	0.627389	+	0.778706i	$0.284123\pi$
$138$	−0.612135	+	0.733976i	−0.0521084	+	0.0624802i
$139$	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
$141$	−1.44231	+	0.364209i	−0.121464	+	0.0306720i
$142$			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
$147$	−0.791598	−	0.0529672i	−0.0652899	−	0.00436866i
$148$	−3.53063	−	10.8662i	−0.290216	−	0.893192i
$149$	−0.673500	−	2.07282i	−0.0551753	−	0.169812i	0.919671	−	0.392689i	$-0.128455\pi$
$149$	−0.673500	−	2.07282i	−0.0551753	−	0.169812i	−0.974847	+	0.222877i	$0.928455\pi$
$150$	−0.225572	−	0.0150934i	−0.0184179	−	0.00123237i
$151$	−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
$156$	−14.4547	+	3.65007i	−1.15730	+	0.292239i
$157$	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
$159$	10.3782	−	12.4439i	0.823045	−	0.986866i
$160$	1.47276	−	0.478528i	0.116432	−	0.0378310i
$161$	8.74770	+	6.35558i	0.689415	+	0.500890i
$162$	−1.13303	−	0.310220i	−0.0890189	−	0.0243732i
$163$	−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
$165$	−5.52097	+	1.58710i	−0.429807	+	0.123555i
$166$	−0.0894732			−0.00694447
$167$	3.79818	−	11.6896i	0.293912	−	0.904569i	−0.689672	−	0.724122i	$-0.742245\pi$
$167$	3.79818	−	11.6896i	0.293912	−	0.904569i	0.983585	−	0.180447i	$-0.0577546\pi$
$168$	2.13799	+	0.856348i	0.164949	+	0.0660687i
$169$	4.72575	+	3.43346i	0.363519	+	0.264112i
$170$	0.746915	−	0.242687i	0.0572857	−	0.0186133i
$171$	−0.193175	+	1.43705i	−0.0147725	+	0.109894i
$172$	5.07721	−	6.98818i	0.387133	−	0.532843i
$173$	−9.31279	+	6.76614i	−0.708038	+	0.514420i	−0.882540	−	0.470237i	$-0.844169\pi$
$173$	−9.31279	+	6.76614i	−0.708038	+	0.514420i	0.174502	+	0.984657i	$0.444169\pi$
$174$	−0.557658	−	2.20839i	−0.0422760	−	0.167418i
$175$			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	0.954521	−	0.298144i	$-0.0963674\pi$
$179$	5.03062	+	6.92406i	0.376006	+	0.517528i	−0.578515	+	0.815672i	$0.696367\pi$
$180$	2.82431	+	5.23570i	0.210512	+	0.390246i
$181$	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
$183$	−0.502572	+	7.51097i	−0.0371512	+	0.555227i
$184$	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
$189$	−2.64606	+	13.0242i	−0.192473	+	0.947374i
$190$	−0.0510376	+	0.0370810i	−0.00370266	+	0.00269014i
$191$	3.78329	−	5.20726i	0.273750	−	0.376784i	−0.649902	−	0.760018i	$-0.725190\pi$
$191$	3.78329	−	5.20726i	0.273750	−	0.376784i	0.923651	+	0.383234i	$0.125190\pi$
$192$	−10.1013	−	8.42445i	−0.728997	−	0.607982i
$193$	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
$195$	2.79545	−	6.97922i	0.200187	−	0.499792i
$196$	−0.280680	+	0.863844i	−0.0200486	+	0.0617031i
$197$	−20.7238			−1.47651			−0.738255	−	0.674521i	$-0.764350\pi$
$197$	−20.7238			−1.47651			−0.738255	+	0.674521i	$0.764350\pi$
$198$	−0.968310	−	0.865460i	−0.0688148	−	0.0615056i
$199$	−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
$201$	−3.11845	+	7.78563i	−0.219959	+	0.549156i
$202$	−0.244303	−	0.177496i	−0.0171891	−	0.0124886i
$203$	−24.5078	+	7.96305i	−1.72011	+	0.558897i
$204$	−15.8705	−	13.2360i	−1.11116	−	0.926702i
$205$	−2.65965	+	3.66070i	−0.185758	+	0.255674i
$206$	0.0903640	−	0.0656533i	0.00629596	−	0.00457428i
$207$	−8.75507	+	9.17572i	−0.608520	+	0.637757i
$208$			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
$213$	−0.233716	+	3.49289i	−0.0160139	+	0.239329i
$214$	−0.231341	−	0.711995i	−0.0158142	−	0.0486710i
$215$	1.34609	+	4.14284i	0.0918025	+	0.282539i
$216$	−1.32956	+	2.35151i	−0.0904653	+	0.160000i
$217$	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
$222$	0.318918	+	1.26295i	0.0214044	+	0.0847638i
$223$	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
$225$	−2.97326	−	0.399681i	−0.198217	−	0.0266454i
$226$	1.25156	−	0.406655i	0.0832523	−	0.0270503i
$227$	14.4004	+	10.4625i	0.955787	+	0.694420i	0.952168	−	0.305574i	$-0.0988483\pi$
$227$	14.4004	+	10.4625i	0.955787	+	0.694420i	0.00361831	+	0.999993i	$0.498848\pi$
$228$	1.54100	+	0.617233i	0.102056	+	0.0408773i
$229$	−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
$231$	−9.03819	+	11.5843i	−0.594669	+	0.762189i
$232$	−5.23774			−0.343875
$233$	8.62391	−	26.5417i	0.564971	−	1.73880i	−0.103066	−	0.994675i	$-0.532865\pi$
$233$	8.62391	−	26.5417i	0.564971	−	1.73880i	0.668037	−	0.744128i	$-0.267135\pi$
$234$	1.67207	−	0.305191i	0.109307	−	0.0199509i
$235$	−0.694830	−	0.504824i	−0.0453257	−	0.0329311i
$236$	−15.4011	+	5.00413i	−1.00253	+	0.325741i
$237$	11.2846	−	13.5307i	0.733013	−	0.878914i
$238$	1.18069	−	1.62508i	0.0765329	−	0.105339i
$239$	−10.8038	+	7.84942i	−0.698840	+	0.507737i	−0.879554	−	0.475799i	$-0.842159\pi$
$239$	−10.8038	+	7.84942i	−0.698840	+	0.507737i	0.180714	+	0.983536i	$0.442159\pi$
$240$	6.54617	−	1.65303i	0.422553	−	0.106702i
$241$		−	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
$246$	−1.02068	−	0.0682957i	−0.0650764	−	0.00435438i
$247$	−0.648301	−	1.99527i	−0.0412504	−	0.126956i
$248$	1.50314	+	4.62620i	0.0954497	+	0.293764i
$249$	−1.18465	−	0.0792668i	−0.0750740	−	0.00502333i
$250$	−0.0767208	−	0.105597i	−0.00485225	−	0.00667855i
$251$	11.2915	+	3.66882i	0.712711	+	0.231574i	0.642860	−	0.765984i	$-0.277748\pi$
$251$	11.2915	+	3.66882i	0.712711	+	0.231574i	0.0698506	+	0.997557i	$0.477748\pi$
$252$	13.7155	+	6.58788i	0.863995	+	0.414998i
$253$	−13.1866	+	4.76470i	−0.829034	+	0.299554i
$254$		−	2.61118i		−	0.163840i
$255$	10.1043	−	2.55153i	0.632758	−	0.159783i
$256$	−11.8557	+	8.61364i	−0.740979	+	0.538353i
$257$	11.0844	−	15.2564i	0.691426	−	0.951667i	−0.308574	−	0.951200i	$-0.599852\pi$
$257$	11.0844	−	15.2564i	0.691426	−	0.951667i	1.00000		0.000466223i	$-0.000148403\pi$
$258$	−0.630748	+	0.756294i	−0.0392687	+	0.0470848i
$259$	14.0157	−	4.55398i	0.870893	−	0.282970i
$260$	−6.96351	−	5.05929i	−0.431859	−	0.313764i
$261$	−5.42706	−	29.7337i	−0.335927	−	1.84047i
$262$	−0.432363	+	1.33068i	−0.0267114	+	0.0822094i
$263$	0.176130			0.0108606			0.00543031	−	0.999985i	$-0.498271\pi$
$263$	0.176130			0.0108606			0.00543031	+	0.999985i	$0.498271\pi$
$264$	−2.47478	+	1.67166i	−0.152312	+	0.102884i
$265$	9.35518			0.574684
$266$	−0.0498619	+	0.153459i	−0.00305723	+	0.00940918i
$267$	8.47257	+	3.39360i	0.518513	+	0.207685i
$268$	7.76811	+	5.64386i	0.474513	+	0.344754i
$269$	−0.136449	+	0.0443350i	−0.00831945	+	0.00270315i	−0.313174	−	0.949696i	$-0.601392\pi$
$269$	−0.136449	+	0.0443350i	−0.00831945	+	0.00270315i	0.304854	+	0.952399i	$0.401392\pi$
$270$	−0.281427	−	0.617084i	−0.0171271	−	0.0375545i
$271$	−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
$273$	−4.70803	−	18.6443i	−0.284943	−	1.12841i
$274$			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
$279$	−24.7046	+	13.3265i	−1.47903	+	0.797835i
$280$	0.410900	+	1.26462i	0.0245560	+	0.0755756i
$281$	−3.92842	−	12.0904i	−0.234350	−	0.721255i	−0.997207	−	0.0746880i	$-0.976204\pi$
$281$	−3.92842	−	12.0904i	−0.234350	−	0.721255i	0.762857	−	0.646567i	$-0.223796\pi$
$282$	0.0129631	−	0.193734i	0.000771940	−	0.0115367i
$283$	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
$288$	3.36111	+	3.20702i	0.198055	+	0.188976i
$289$	−15.5353	+	11.2871i	−0.913841	+	0.663944i
$290$	0.772959	−	1.06389i	0.0453897	−	0.0624736i
$291$	9.91732	+	8.27103i	0.581363	+	0.484856i
$292$	−1.32439	+	0.430319i	−0.0775038	+	0.0251825i
$293$	25.5694	+	18.5773i	1.49378	+	1.08530i	0.972778	+	0.231740i	$0.0744419\pi$
$293$	25.5694	+	18.5773i	1.49378	+	1.08530i	0.521003	+	0.853555i	$0.325558\pi$
$294$	0.0385039	−	0.0961301i	0.00224559	−	0.00560642i
$295$	2.52356	−	7.76672i	0.146927	−	0.452196i
$296$	2.99540			0.174104
$297$	−12.0539	−	12.3168i	−0.699440	−	0.714691i
$298$	0.284479			0.0164794
$299$	5.67050	−	17.4520i	0.327933	−	1.00927i
$300$	−1.27706	+	3.18835i	−0.0737310	+	0.184079i
$301$	9.01369	+	6.54883i	0.519541	+	0.377468i
$302$	1.42425	−	0.462766i	0.0819562	−	0.0266292i
$303$	−3.07738	−	2.56653i	−0.176791	−	0.147443i
$304$	1.10741	−	1.52421i	0.0635141	−	0.0874196i
$305$	−3.51612	+	2.55461i	−0.201332	+	0.146276i
$306$	1.70460	+	1.62645i	0.0974454	+	0.0929782i
$307$			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	0.331510	−	0.943452i	$-0.392442\pi$
$311$	−11.7840	−	16.2193i	−0.668208	−	0.919710i	−0.999718	+	0.0237420i	$0.992442\pi$
$312$	0.260945	−	3.89984i	0.0147731	−	0.220785i
$313$	−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
$315$	−6.75326	+	3.64293i	−0.380503	+	0.205256i
$316$	−11.8563	−	16.3188i	−0.666969	−	0.918004i
$317$	−8.69406	−	2.82487i	−0.488307	−	0.158661i	0.0545071	−	0.998513i	$-0.482641\pi$
$317$	−8.69406	−	2.82487i	−0.488307	−	0.158661i	−0.542814	+	0.839853i	$0.682641\pi$
$318$	1.12615	+	1.79024i	0.0631513	+	0.100391i
$319$	9.28534	−	32.0989i	0.519879	−	1.79719i
$320$		−	7.59401i		−	0.424518i
$321$	−2.43224	−	9.63194i	−0.135754	−	0.537603i
$322$	−1.14180	+	0.829563i	−0.0636298	+	0.0462297i
$323$	1.70934	−	2.35270i	0.0951100	−	0.130908i
$324$	−9.80141	+	14.9143i	−0.544523	+	0.828572i
$325$	4.12821	−	1.34134i	0.228992	−	0.0744041i
$326$	−0.0934847	−	0.0679206i	−0.00517764	−	0.00376177i
$327$	3.51441	+	1.40766i	0.194347	+	0.0778438i
$328$	−0.726925	+	2.23724i	−0.0401377	+	0.123531i
$329$	−2.19672			−0.121109
$330$	0.0256683	−	0.749371i	0.00141299	−	0.0412515i
$331$	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
$333$	3.10367	+	17.0043i	0.170080	+	0.931832i
$334$	1.29791	+	0.942989i	0.0710186	+	0.0515981i
$335$	−4.60521	+	1.49632i	−0.251609	+	0.0817529i
$336$	11.0605	−	13.2620i	0.603398	−	0.723500i
$337$	−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
$339$	16.9312	−	4.27543i	0.919576	−	0.232209i
$340$		−	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
$345$	−7.30589	−	0.488850i	−0.393336	−	0.0263188i
$346$	−0.464300	−	1.42897i	−0.0249609	−	0.0768219i
$347$	−3.24245	−	9.97924i	−0.174064	−	0.535714i	0.825526	−	0.564365i	$-0.190879\pi$
$347$	−3.24245	−	9.97924i	−0.174064	−	0.535714i	−0.999589	+	0.0286510i	$0.990879\pi$
$348$	−34.5262	−	2.31021i	−1.85080	−	0.123840i
$349$	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	$0.0501569\pi$
$353$			5.89657i			0.313843i	−0.987611	+	0.156921i	$0.949843\pi$
$354$	1.79004	−	0.452018i	0.0951396	−	0.0240245i
$355$	−1.63513	+	1.18799i	−0.0867837	+	0.0630521i
$356$	6.14183	−	8.45350i	0.325516	−	0.448035i
$357$	17.0724	−	20.4705i	0.903566	−	1.08341i
$358$	−1.06244	+	0.345207i	−0.0561516	+	0.0182448i
$359$	−3.27896	−	2.38230i	−0.173057	−	0.125733i	0.497885	−	0.867243i	$-0.334110\pi$
$359$	−3.27896	−	2.38230i	−0.173057	−	0.125733i	−0.670942	+	0.741510i	$0.734110\pi$
$360$	−1.53428	+	0.280041i	−0.0808638	+	0.0147595i
$361$	5.79914	−	17.8479i	0.305218	−	0.939363i
$362$	−1.17767			−0.0618967
$363$	−5.85734	−	18.1299i	−0.307431	−	0.951570i
$364$	−22.0153			−1.15391
$365$	0.217008	−	0.667882i	0.0113587	−	0.0349586i
$366$	−0.912117	−	0.365339i	−0.0476771	−	0.0190966i
$367$	−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
$369$	−13.4536	−	1.80851i	−0.700367	−	0.0941470i
$370$	−0.442046	+	0.608425i	−0.0229809	+	0.0316305i
$371$	19.3581	−	14.0645i	1.00502	−	0.730192i
$372$	7.86796	+	31.1580i	0.407935	+	1.61547i
$373$			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
$378$	−1.51006	−	0.853800i	−0.0776691	−	0.0439147i
$379$	−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
$381$	2.31332	−	34.5727i	0.118515	−	1.77121i
$382$	0.493815	+	0.679678i	0.0252658	+	0.0347754i
$383$	20.6077	+	6.69583i	1.05300	+	0.342141i	0.783846	−	0.620956i	$-0.213255\pi$
$383$	20.6077	+	6.69583i	1.05300	+	0.342141i	0.269156	+	0.963097i	$0.413255\pi$
$384$	5.99388	−	3.77045i	0.305874	−	0.192410i
$385$	−8.47851	+	0.276263i	−0.432105	+	0.0140797i
$386$			0.962388i			0.0489843i
$387$	−9.02129	+	9.45473i	−0.458578	+	0.480611i
$388$	11.9608	−	8.69006i	0.607219	−	0.441171i
$389$	21.9802	−	30.2531i	1.11444	−	1.53389i	0.299729	−	0.954024i	$-0.403104\pi$
$389$	21.9802	−	30.2531i	1.11444	−	1.53389i	0.814710	−	0.579869i	$-0.196896\pi$
$390$	0.753625	+	0.628522i	0.0381613	+	0.0318264i
$391$	24.1913	−	7.86023i	1.22341	−	0.397509i
$392$	−0.192652	−	0.139970i	−0.00973037	−	0.00706953i
$393$	−6.90347	+	17.2354i	−0.348234	+	0.869413i
$394$	0.835885	−	2.57259i	0.0421113	−	0.129605i
$395$	10.1722			0.511820
$396$	−17.0506	+	9.92772i	−0.856824	+	0.498887i
$397$	−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
$399$	−0.796138	+	1.98766i	−0.0398567	+	0.0995076i
$400$	3.15360	+	2.29123i	0.157680	+	0.114561i
$401$	−22.5444	+	7.32511i	−1.12581	+	0.365798i	−0.811983	−	0.583681i	$-0.801612\pi$
$401$	−22.5444	+	7.32511i	−1.12581	+	0.365798i	−0.313829	+	0.949480i	$0.601612\pi$
$402$	−0.840702	−	0.701144i	−0.0419304	−	0.0349699i
$403$	23.8722	−	32.8572i	1.18916	−	1.63674i
$404$	−3.71150	+	2.69656i	−0.184654	+	0.134159i
$405$	−3.17948	−	8.41967i	−0.157990	−	0.418377i
$406$		−	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
$411$	−0.963815	+	14.4043i	−0.0475415	+	0.710510i
$412$	−0.524373	−	1.61385i	−0.0258340	−	0.0795089i
$413$	−6.45457	−	19.8651i	−0.317608	−	0.977498i
$414$	−0.785914	−	1.45693i	−0.0386255	−	0.0716040i
$415$	−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	$0.171931\pi$
$419$			21.0530i			1.02851i	−0.857639	+	0.514253i	$0.828069\pi$
$420$	2.15079	+	8.51738i	0.104948	+	0.415605i
$421$	−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
$423$	0.343269	−	2.55360i	0.0166903	−	0.124160i
$424$	4.62550	−	1.50292i	0.224634	−	0.0729881i
$425$	4.86775	+	3.53663i	0.236120	+	0.171552i
$426$	−0.424170	−	0.169897i	−0.0205511	−	0.00823153i
$427$	−3.43512	+	10.5722i	−0.166237	+	0.511625i
$428$	−11.3734			−0.549755
$429$	23.4371	+	8.51271i	1.13155	+	0.410998i
$430$	−0.568572			−0.0274190
$431$	7.51398	−	23.1257i	0.361936	−	1.11392i	−0.589942	−	0.807446i	$-0.700849\pi$
$431$	7.51398	−	23.1257i	0.361936	−	1.11392i	0.951878	−	0.306478i	$-0.0991506\pi$
$432$	13.6882	+	14.9297i	0.658573	+	0.718308i
$433$	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
$435$	11.1767	−	13.4014i	0.535882	−	0.642546i
$436$	2.54762	−	3.50650i	0.122009	−	0.167931i
$437$	−1.65302	+	1.20099i	−0.0790748	+	0.0574512i
$438$	0.153931	−	0.0388703i	0.00735510	−	0.00185729i
$439$			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	0.987652	−	0.156662i	$-0.0500733\pi$
$443$	11.2280	+	15.4540i	0.533457	+	0.734240i	−0.454196	+	0.890902i	$0.650073\pi$
$444$	19.7451	+	1.32118i	0.937063	+	0.0627005i
$445$	1.62835	+	5.01154i	0.0771910	+	0.237570i
$446$	0.185436	+	0.570713i	0.00878065	+	0.0270241i
$447$	3.76657	+	0.252028i	0.178153	+	0.0119205i
$448$	−11.4168	−	15.7138i	−0.539392	−	0.742410i
$449$	17.3167	+	5.62652i	0.817224	+	0.265532i	0.687654	−	0.726038i	$-0.258640\pi$
$449$	17.3167	+	5.62652i	0.817224	+	0.265532i	0.129569	+	0.991570i	$0.458640\pi$
$450$	0.169540	−	0.352970i	0.00799219	−	0.0166392i
$451$	−12.4220	−	8.42100i	−0.584929	−	0.396529i
$452$		−	19.9924i		−	0.940362i
$453$	19.2674	−	4.86536i	0.905260	−	0.228595i
$454$	−1.87961	+	1.36562i	−0.0882146	+	0.0640916i
$455$	6.52572	−	8.98188i	0.305930	−	0.421077i
$456$	−0.278746	+	0.334229i	−0.0130535	+	0.0156517i
$457$	−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
$459$	21.1284	+	23.0448i	0.986189	+	1.07564i
$460$	−2.59048	+	7.97267i	−0.120782	+	0.371728i
$461$	−15.5866			−0.725943			−0.362971	−	0.931800i	$-0.618238\pi$
$461$	−15.5866			−0.725943			−0.362971	+	0.931800i	$0.618238\pi$
$462$	−1.07348	−	1.58922i	−0.0499430	−	0.0739371i
$463$	−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
$465$	−15.0442	−	6.02579i	−0.697657	−	0.279439i
$466$	2.94696	+	2.14109i	0.136515	+	0.0991841i
$467$	−34.7212	+	11.2816i	−1.60670	+	0.522050i	−0.968753	−	0.248027i	$-0.920218\pi$
$467$	−34.7212	+	11.2816i	−1.60670	+	0.522050i	−0.637951	+	0.770077i	$0.720218\pi$
$468$	3.44020	−	25.5919i	0.159023	−	1.18299i
$469$	−7.27973	+	10.0197i	−0.336147	+	0.462666i
$470$	0.0906928	−	0.0658922i	0.00418335	−	0.00303938i
$471$	4.11626	+	16.3009i	0.189667	+	0.751104i
$472$		−	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
$477$	13.3245	+	24.7009i	0.610085	+	1.13098i
$478$	−0.538636	−	1.65775i	−0.0246366	−	0.0758238i
$479$	−2.94845	−	9.07440i	−0.134718	−	0.414620i	0.860828	−	0.508896i	$-0.169946\pi$
$479$	−2.94845	−	9.07440i	−0.134718	−	0.414620i	−0.995546	+	0.0942762i	$0.969946\pi$
$480$	−0.179068	+	2.67618i	−0.00817330	+	0.122151i
$481$	−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
$486$	1.22848	−	1.62197i	0.0557249	−	0.0735741i
$487$	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
$489$	−1.17759	−	0.982107i	−0.0532524	−	0.0444124i
$490$	0.0568611	−	0.0184753i	0.00256872	−	0.000834628i
$491$	−32.0194	−	23.2635i	−1.44502	−	1.04987i	−0.986964	−	0.160939i	$-0.948548\pi$
$491$	−32.0194	−	23.2635i	−1.44502	−	1.04987i	−0.458051	−	0.888926i	$-0.651452\pi$
$492$	−5.77853	+	14.4269i	−0.260516	+	0.650413i
$493$	−18.7325	+	57.6528i	−0.843671	+	2.59655i
$494$	0.273835			0.0123204
$495$	1.00374	−	9.89912i	0.0451149	−	0.444932i
$496$	36.4726			1.63767
$497$	−1.59746	+	4.91648i	−0.0716560	+	0.220534i
$498$	0.0576221	−	0.143861i	0.00258211	−	0.00644658i
$499$	−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
$501$	16.3493	+	13.6353i	0.730432	+	0.609179i
$502$	−0.910871	+	1.25371i	−0.0406541	+	0.0559556i
$503$	4.37741	−	3.18037i	0.195179	−	0.141806i	−0.485904	−	0.874012i	$-0.661509\pi$
$503$	4.37741	−	3.18037i	0.195179	−	0.141806i	0.681083	+	0.732206i	$0.261509\pi$
$504$	−2.75379	+	2.88610i	−0.122664	+	0.128557i
$505$		−	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	0.430895	−	0.902402i	$-0.358198\pi$
$509$	−12.6453	−	17.4048i	−0.560494	−	0.771454i	−0.991389	+	0.130948i	$0.958198\pi$
$510$	−0.0908150	+	1.35724i	−0.00402136	+	0.0600994i
$511$	−0.555047	−	1.70826i	−0.0245538	−	0.0755689i
$512$	−3.11779	−	9.59558i	−0.137788	−	0.424069i
$513$	−2.18618	−	1.23608i	−0.0965220	−	0.0545743i
$514$	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
$519$	−4.88149	−	19.3313i	−0.214274	−	0.848548i
$520$	1.82564	−	1.32640i	0.0800594	−	0.0581666i
$521$	−16.9489	+	23.3282i	−0.742545	+	1.02203i	0.255923	+	0.966697i	$0.417621\pi$
$521$	−16.9489	+	23.3282i	−0.742545	+	1.02203i	−0.998468	+	0.0553285i	$0.982379\pi$
$522$	3.90994	+	0.525595i	0.171134	+	0.0230047i
$523$	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
$525$	−4.11249	−	1.64721i	−0.179484	−	0.0718903i
$526$	−0.00710410	+	0.0218642i	−0.000309754	+	0.000953324i
$527$	56.2974			2.45235
$528$	6.18662	+	21.5211i	0.269238	+	0.936587i
$529$	5.12831			0.222970
$530$	−0.377336	+	1.16132i	−0.0163904	+	0.0504446i
$531$	24.1011	−	4.39898i	1.04590	−	0.190900i
$532$	1.98319	+	1.44087i	0.0859822	+	0.0624697i
$533$	18.6796	−	6.06939i	0.809105	−	0.262894i
$534$	−0.763008	+	0.914879i	−0.0330186	+	0.0395907i
$535$	3.37128	−	4.64017i	0.145753	−	0.200612i
$536$	−2.03658	+	1.47966i	−0.0879668	+	0.0639116i
$537$	−14.3728	+	3.62939i	−0.620231	+	0.156620i
$538$		−	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
$543$	−15.5926	−	1.04333i	−0.669142	−	0.0447734i
$544$	−2.87924	−	8.86139i	−0.123446	−	0.379929i
$545$	0.675436	+	2.07878i	0.0289325	+	0.0890451i
$546$	2.50435	+	0.167570i	0.107176	+	0.00717134i
$547$	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
$552$	−3.69080	+	0.931995i	−0.157091	+	0.0396683i
$553$	21.0488	−	15.2928i	0.895085	−	0.650317i
$554$	−1.52016	+	2.09231i	−0.0645852	+	0.0888939i
$555$	−6.39183	+	7.66407i	−0.271318	+	0.325322i
$556$	9.53888	−	3.09937i	0.404539	−	0.131443i
$557$	6.65734	+	4.83684i	0.282080	+	0.204943i	0.719824	−	0.694156i	$-0.244222\pi$
$557$	6.65734	+	4.83684i	0.282080	+	0.204943i	−0.437744	+	0.899100i	$0.644222\pi$
$558$	−0.657859	−	3.60427i	−0.0278494	−	0.152581i
$559$	5.84292	−	17.9827i	0.247129	−	0.760585i
$560$	9.97018			0.421317
$561$	9.54936	+	33.2189i	0.403174	+	1.40250i
$562$	1.65932			0.0699942
$563$	−5.28782	+	16.2742i	−0.222855	+	0.685877i	0.775647	+	0.631166i	$0.217424\pi$
$563$	−5.28782	+	16.2742i	−0.222855	+	0.685877i	−0.998502	+	0.0547103i	$0.982576\pi$
$564$	−2.73833	−	1.09681i	−0.115305	−	0.0461841i
$565$	8.15657	+	5.92609i	0.343149	+	0.249313i
$566$	−1.55084	+	0.503898i	−0.0651866	+	0.0211804i
$567$	−19.2372	−	12.6423i	−0.807886	−	0.530928i
$568$	−0.617610	+	0.850067i	−0.0259143	+	0.0356680i
$569$	−32.3243	+	23.4850i	−1.35511	+	0.984543i	−0.356368	+	0.934346i	$0.615985\pi$
$569$	−32.3243	+	23.4850i	−1.35511	+	0.984543i	−0.998739	+	0.0501972i	$0.984015\pi$
$570$	−0.0267524	−	0.105943i	−0.00112053	−	0.00443745i
$571$		−	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
$576$	20.0508	−	10.8161i	0.835450	−	0.450669i
$577$	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
$579$	−0.852607	+	12.7423i	−0.0354331	+	0.529550i
$580$	−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
$585$	9.42136	+	8.98945i	0.389525	+	0.371668i
$586$	−3.33745	+	2.42480i	−0.137869	+	0.100168i
$587$	−16.1844	+	22.2759i	−0.668000	+	0.919423i	−0.999713	−	0.0239570i	$-0.992374\pi$
$587$	−16.1844	+	22.2759i	−0.668000	+	0.919423i	0.331713	+	0.943380i	$0.392374\pi$
$588$	−1.20819	−	1.00763i	−0.0498247	−	0.0415538i
$589$	−4.30093	+	1.39746i	−0.177217	+	0.0575812i
$590$	0.862349	+	0.626533i	0.0355023	+	0.0257940i
$591$	13.3465	−	33.3212i	0.549000	−	1.37065i
$592$	6.94044	−	21.3605i	0.285250	−	0.877910i
$593$	18.3716			0.754430			0.377215	−	0.926126i	$-0.376882\pi$
$593$	18.3716			0.754430			0.377215	+	0.926126i	$0.376882\pi$
$594$	2.01515	−	0.999546i	0.0826827	−	0.0410119i
$595$	15.3895			0.630907
$596$	1.33553	−	4.11033i	0.0547053	−	0.168366i
$597$	9.07524	−	22.6575i	0.371425	−	0.927311i
$598$	1.93772	+	1.40783i	0.0792392	+	0.0575706i
$599$	−13.4488	+	4.36978i	−0.549503	+	0.178544i	−0.570593	−	0.821233i	$-0.693286\pi$
$599$	−13.4488	+	4.36978i	−0.549503	+	0.178544i	0.0210896	+	0.999778i	$0.493286\pi$
$600$	−0.691521	−	0.576728i	−0.0282312	−	0.0235448i
$601$	−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
$603$	−10.5099	−	10.0281i	−0.427998	−	0.408377i
$604$		−	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
$609$	2.97982	−	44.5336i	0.120748	−	1.80459i
$610$	−0.175300	−	0.539518i	−0.00709769	−	0.0218445i
$611$	1.15202	+	3.54555i	0.0466057	+	0.143437i
$612$	31.5025	−	16.9935i	1.27341	−	0.686921i
$613$	−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	$-0.708637\pi$
$617$		−	39.3841i		−	1.58554i	0.609519	−	0.792772i	$-0.291363\pi$
$618$	0.0473661	+	0.187575i	0.00190534	+	0.00754538i
$619$	−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
$621$	−9.11496	−	19.9863i	−0.365771	−	0.802023i
$622$	2.48871	−	0.808630i	0.0997881	−	0.0324231i
$623$	10.9037	+	7.92203i	0.436849	+	0.317390i
$624$	−27.2055	−	10.8969i	−1.08909	−	0.436224i
$625$	0.309017	−	0.951057i	0.0123607	−	0.0380423i
$626$	1.38316			0.0552821
$627$	−1.55413	−	2.30078i	−0.0620658	−	0.0918841i
$628$	19.2481			0.768082
$629$	10.7129	−	32.9710i	0.427152	−	1.31464i
$630$	−0.179833	−	0.985265i	−0.00716471	−	0.0392539i
$631$	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
$633$	−23.1983	+	27.8158i	−0.922051	+	1.10558i
$634$	0.701341	−	0.965313i	0.0278538	−	0.0383375i
$635$	16.1846	−	11.7588i	0.642264	−	0.466632i
$636$	31.1533	−	7.86678i	1.23531	−	0.311938i
$637$			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	$0.0652489\pi$
$641$	22.0293	+	30.3208i	0.870107	+	1.19760i	−0.108957	+	0.994046i	$0.534751\pi$
$642$	1.29378	+	0.0865692i	0.0510615	+	0.00341661i
$643$	−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
$645$	−7.52804	−	0.503714i	−0.296416	−	0.0198337i
$646$	0.223111	+	0.307087i	0.00877820	+	0.0120822i
$647$	−5.05416	−	1.64220i	−0.198700	−	0.0645614i	0.207976	−	0.978134i	$-0.433312\pi$
$647$	−5.05416	−	1.64220i	−0.198700	−	0.0645614i	−0.406676	+	0.913572i	$0.633312\pi$
$648$	−2.92466	−	3.65217i	−0.114892	−	0.143471i
$649$	26.0182	+	7.52637i	1.02130	+	0.295436i
$650$			0.566566i			0.0222225i
$651$	−40.1892	+	10.1485i	−1.57514	+	0.397750i
$652$	−1.42024	+	1.03186i	−0.0556208	+	0.0404109i
$653$	11.7859	−	16.2219i	0.461219	−	0.634814i	−0.513542	−	0.858064i	$-0.671667\pi$
$653$	11.7859	−	16.2219i	0.461219	−	0.634814i	0.974761	+	0.223251i	$0.0716669\pi$
$654$	−0.316495	+	0.379491i	−0.0123759	+	0.0148393i
$655$	−10.1948	+	3.31248i	−0.398343	+	0.129429i
$656$	14.2697	+	10.3675i	0.557137	+	0.404783i
$657$	2.07252	−	0.378281i	0.0808567	−	0.0147581i
$658$	0.0886036	−	0.272694i	0.00345413	−	0.0106307i
$659$	−27.8677			−1.08557			−0.542785	−	0.839871i	$-0.682630\pi$
$659$	−27.8677			−1.08557			−0.542785	+	0.839871i	$0.682630\pi$
$660$	−10.7069	−	3.88890i	−0.416765	−	0.151375i
$661$	−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
$663$	−41.9930	−	16.8199i	−1.63087	−	0.653229i
$664$	−0.288308	−	0.209468i	−0.0111885	−	0.00812894i
$665$	−1.17571	+	0.382010i	−0.0455919	+	0.0148137i
$666$	−2.23605	−	0.300582i	−0.0866452	−	0.0116473i
$667$	25.0349	−	34.4575i	0.969354	−	1.33420i
$668$	19.7181	−	14.3261i	0.762918	−	0.554292i
$669$	1.94961	+	7.72067i	0.0753762	+	0.298498i
$670$		−	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
$675$	2.55746	−	4.52321i	0.0984366	−	0.174098i
$676$	3.57940	+	11.0162i	0.137669	+	0.423702i
$677$	−7.83983	−	24.1285i	−0.301309	−	0.927334i	−0.981029	−	0.193862i	$-0.937899\pi$
$677$	−7.83983	−	24.1285i	−0.301309	−	0.927334i	0.679720	−	0.733472i	$-0.262101\pi$
$678$	−0.152173	+	2.27423i	−0.00584416	+	0.0873413i
$679$	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	$0.150948\pi$
$683$			23.8680i			0.913285i	−0.889650	+	0.456643i	$0.849052\pi$
$684$	−1.98486	+	2.08023i	−0.0758931	+	0.0795395i
$685$	−6.74308	+	4.89913i	−0.257640	+	0.187186i
$686$	1.46350	−	2.01433i	0.0558766	−	0.0769075i
$687$	−19.9583	−	16.6451i	−0.761455	−	0.635052i
$688$	16.1491	−	5.24715i	0.615677	−	0.200046i
$689$	−32.8523	−	23.8686i	−1.25157	−	0.909321i
$690$	0.355364	−	0.887213i	0.0135285	−	0.0337756i
$691$	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
$693$	−12.8053	−	21.9927i	−0.486432	−	0.835433i
$694$	1.36957			0.0519883
$695$	−1.56300	+	4.81042i	−0.0592879	+	0.182470i
$696$	3.37319	−	8.42161i	0.127860	−	0.319220i
$697$	22.0259	+	16.0028i	0.834292	+	0.606149i
$698$	−0.163383	+	0.0530863i	−0.00618413	+	0.00200935i
$699$	37.1216	+	30.9594i	1.40407	+	1.17099i
$700$	−2.98117	+	4.10323i	−0.112678	+	0.155088i
$701$	−8.55052	+	6.21232i	−0.322949	+	0.234636i	−0.737433	−	0.675421i	$-0.763962\pi$
$701$	−8.55052	+	6.21232i	−0.322949	+	0.234636i	0.414484	+	0.910057i	$0.363962\pi$
$702$	−0.586134	+	2.88502i	−0.0221222	+	0.108888i
$703$			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
$708$	1.87257	−	27.9857i	0.0703756	−	1.05177i
$709$	−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
$711$	14.4882	+	26.8581i	0.543349	+	1.00726i
$712$	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
$717$	−5.66303	−	22.4262i	−0.211490	−	0.837524i
$718$	0.427987	−	0.310951i	0.0159723	−	0.0116046i
$719$	6.06864	−	8.35276i	0.226322	−	0.311505i	−0.680722	−	0.732542i	$-0.738334\pi$
$719$	6.06864	−	8.35276i	0.226322	−	0.311505i	0.907044	+	0.421037i	$0.138334\pi$
$720$	−1.55798	+	11.5900i	−0.0580626	+	0.431932i
$721$	2.08163	−	0.676362i	0.0775239	−	0.0251891i
$722$	1.98168	+	1.43977i	0.0737504	+	0.0535828i
$723$	26.9421	+	10.7914i	1.00199	+	0.401336i
$724$	−5.52872	+	17.0156i	−0.205473	+	0.632382i
$725$	10.0750			0.374175
$726$	2.48684	+	0.00414627i	0.0922951	+	0.000153883i
$727$	−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
$729$	17.7023	−	20.3869i	0.655642	−	0.755072i
$730$	0.0741559	+	0.0538774i	0.00274463	+	0.00199409i
$731$	24.9269	−	8.09924i	0.921954	−	0.299561i
$732$	−9.56071	+	11.4637i	−0.353374	+	0.423711i
$733$	−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
$735$	0.769222	−	0.194243i	0.0283732	−	0.00716474i
$736$			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
$741$	3.62564	+	0.242598i	0.133191	+	0.00891206i
$742$	0.965122	+	2.97034i	0.0354307	+	0.109045i
$743$	13.3049	+	40.9483i	0.488110	+	1.50225i	0.827425	+	0.561576i	$0.189805\pi$
$743$	13.3049	+	40.9483i	0.488110	+	1.50225i	−0.339315	+	0.940673i	$0.610195\pi$
$744$	−8.40638	−	0.562485i	−0.308193	−	0.0206217i
$745$	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
$750$	0.219196	−	0.0553509i	0.00800390	−	0.00202113i
$751$	−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
$753$	−13.1709	+	15.7924i	−0.479972	+	0.575508i
$754$	−5.42876	+	1.76391i	−0.197704	+	0.0642378i
$755$	9.28202	+	6.74378i	0.337807	+	0.245431i
$756$	−19.4254	+	17.8100i	−0.706497	+	0.647744i
$757$	−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
$759$	0.831352	−	24.2709i	0.0301762	−	0.880976i
$760$	−0.251269			−0.00911449
$761$	−8.94581	+	27.5324i	−0.324285	+	0.998047i	0.647477	+	0.762085i	$0.275824\pi$
$761$	−8.94581	+	27.5324i	−0.324285	+	0.998047i	−0.971762	+	0.235962i	$0.924176\pi$
$762$	4.19844	+	1.68164i	0.152094	+	0.0609195i
$763$	4.52286	+	3.28605i	0.163738	+	0.118963i
$764$	12.1387	−	3.94410i	0.439163	−	0.142693i
$765$	−2.40483	+	17.8897i	−0.0869467	+	0.646803i
$766$	−1.66240	+	2.28810i	−0.0600649	+	0.0826723i
$767$	−28.6777	+	20.8356i	−1.03549	+	0.752329i
$768$	−6.21438	−	24.6097i	−0.224242	−	0.888025i
$769$			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	0.883324	−	0.468763i	$-0.155300\pi$
$773$	4.57474	+	6.29659i	0.164542	+	0.226473i	−0.718782	+	0.695235i	$0.755300\pi$
$774$	−0.809811	−	1.50123i	−0.0291080	−	0.0539604i
$775$	−2.89135	−	8.89865i	−0.103860	−	0.319649i
$776$	1.19777	+	3.68635i	0.0429973	+	0.132332i
$777$	−1.70412	+	25.4682i	−0.0611351	+	0.913668i
$778$	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
$783$	51.3030	+	10.4229i	1.83342	+	0.372486i
$784$	−1.44451	+	1.04950i	−0.0515897	+	0.0374821i
$785$	−5.70547	+	7.85291i	−0.203637	+	0.280282i
$786$	−1.86110	−	1.55216i	−0.0663834	−	0.0553636i
$787$	−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
$789$	−0.113430	+	0.283194i	−0.00403822	+	0.0100820i
$790$	−0.410291	+	1.26275i	−0.0145975	+	0.0449265i
$791$	25.7871			0.916885
$792$	−1.09402	−	5.05570i	−0.0388742	−	0.179646i
$793$	18.8652			0.669923
$794$	1.42278	−	4.37886i	0.0504925	−	0.155400i
$795$	−6.02488	+	15.0419i	−0.213680	+	0.533481i
$796$	−22.6065	−	16.4246i	−0.801268	−	0.582155i
$797$	39.4773	−	12.8270i	1.39836	−	0.454354i	0.489699	−	0.871891i	$-0.337107\pi$
$797$	39.4773	−	12.8270i	1.39836	−	0.454354i	0.908660	+	0.417537i	$0.137107\pi$
$798$	−0.214630	−	0.179001i	−0.00759783	−	0.00633658i
$799$	−3.03746	+	4.18070i	−0.107457	+	0.147903i
$800$	−1.25280	+	0.910215i	−0.0442933	+	0.0321810i
$801$	−10.9129	+	11.4373i	−0.385589	+	0.404116i
$802$		−	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
$807$	0.0165904	−	0.247945i	0.000584010	−	0.00872807i
$808$	−0.371672	−	1.14389i	−0.0130754	−	0.0402419i
$809$	−8.78591	−	27.0402i	−0.308896	−	0.950684i	−0.978195	−	0.207691i	$-0.933405\pi$
$809$	−8.78591	−	27.0402i	−0.308896	−	0.950684i	0.669298	−	0.742994i	$-0.266595\pi$
$810$	1.17343	−	0.0550870i	0.0412303	−	0.00193556i
$811$	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
$816$	−9.94603	−	39.3874i	−0.348181	−	1.37884i
$817$	−1.70329	+	1.23751i	−0.0595904	+	0.0432950i
$818$	−2.03605	+	2.80239i	−0.0711890	+	0.0979832i
$819$	33.0097	+	4.43734i	1.15345	+	0.155053i
$820$	−8.53350	+	2.77270i	−0.298003	+	0.0968270i
$821$	8.45957	+	6.14624i	0.295241	+	0.214505i	0.725538	−	0.688182i	$-0.241591\pi$
$821$	8.45957	+	6.14624i	0.295241	+	0.214505i	−0.430297	+	0.902687i	$0.641591\pi$
$822$	−1.74923	−	0.700634i	−0.0610112	−	0.0244374i
$823$	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
$825$	4.76032	−	3.21549i	0.165733	−	0.111949i
$826$	2.72633			0.0948613
$827$	−11.0475	+	34.0008i	−0.384160	+	1.18232i	0.552928	+	0.833229i	$0.313510\pi$
$827$	−11.0475	+	34.0008i	−0.384160	+	1.18232i	−0.937088	+	0.349094i	$0.886490\pi$
$828$	−24.7402	+	4.51563i	−0.859780	+	0.156929i
$829$	−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
$831$	−21.9809	+	26.3560i	−0.762508	+	0.914280i
$832$	−19.3752	+	26.6677i	−0.671714	+	0.924535i
$833$	−2.22968	+	1.61996i	−0.0772538	+	0.0561282i
$834$	−1.10869	+	0.279963i	−0.0383906	+	0.00969433i
$835$			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	0.722536	−	0.691334i	$-0.242977\pi$
$839$	−4.58343	−	6.30855i	−0.158238	−	0.217795i	−0.880773	+	0.473538i	$0.842977\pi$
$840$	−2.29797	−	0.153761i	−0.0792876	−	0.00530527i
$841$	22.4053	+	68.9564i	0.772596	+	2.37781i
$842$	−1.14615	−	3.52749i	−0.0394989	−	0.121565i
$843$	21.9698	+	1.47004i	0.756681	+	0.0506308i
$844$	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
$849$	−20.9799	+	5.29780i	−0.720029	+	0.181820i
$850$	−0.635364	+	0.461619i	−0.0217928	+	0.0158334i
$851$	−14.3171	+	19.7059i	−0.490785	+	0.675508i
$852$	−4.44610	+	5.33107i	−0.152321	+	0.182639i
$853$	−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
$855$	−0.260351	−	1.42641i	−0.00890382	−	0.0487821i
$856$	0.921423	−	2.83585i	0.0314936	−	0.0969273i
$857$	−16.6747			−0.569596			−0.284798	−	0.958588i	$-0.591927\pi$
$857$	−16.6747			−0.569596			−0.284798	+	0.958588i	$0.591927\pi$
$858$	−2.00207	+	2.56605i	−0.0683494	+	0.0876036i
$859$	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
$861$	−18.6085	−	7.45343i	−0.634175	−	0.254012i
$862$	2.56767	+	1.86552i	0.0874553	+	0.0635400i
$863$	−12.2995	+	3.99635i	−0.418680	+	0.136037i	−0.510778	−	0.859713i	$-0.670643\pi$
$863$	−12.2995	+	3.99635i	−0.418680	+	0.136037i	0.0920982	+	0.995750i	$0.470643\pi$
$864$	−7.32108	+	3.33885i	−0.249068	+	0.113590i
$865$	6.76614	−	9.31279i	0.230056	−	0.316644i
$866$	−1.13538	+	0.824904i	−0.0385819	+	0.0280314i
$867$	−8.14314	−	32.2478i	−0.276556	−	1.09519i
$868$			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
$873$	−19.6856	+	10.6191i	−0.666258	+	0.359401i
$874$	−0.0824134	−	0.253642i	−0.00278768	−	0.00857958i
$875$	−0.790380	−	2.43254i	−0.0267197	−	0.0822348i
$876$	0.161028	−	2.40657i	0.00544063	−	0.0813105i
$877$	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	$-0.870121\pi$
$881$		−	23.5554i		−	0.793600i	0.917905	−	0.396800i	$-0.129879\pi$
$882$	0.129768	+	0.123818i	0.00436950	+	0.00416919i
$883$	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
$885$	10.8627	+	9.05944i	0.365144	+	0.304530i
$886$	−2.37128	+	0.770476i	−0.0796647	+	0.0258846i
$887$	−20.3042	−	14.7519i	−0.681748	−	0.495319i	0.192189	−	0.981358i	$-0.438441\pi$
$887$	−20.3042	−	14.7519i	−0.681748	−	0.495319i	−0.873937	+	0.486039i	$0.838441\pi$
$888$	−1.92909	+	4.81622i	−0.0647359	+	0.161622i
$889$	15.8117	−	48.6635i	0.530308	−	1.63212i
$890$	−0.687795			−0.0230549
$891$	27.5667	−	11.4490i	0.923518	−	0.383555i
$892$	9.11658			0.305246
$893$	0.128275	−	0.394790i	0.00429256	−	0.0132111i
$894$	−0.183209	+	0.457405i	−0.00612741	+	0.0152979i
$895$	−6.92406	−	5.03062i	−0.231446	−	0.168155i
$896$	9.94498	−	3.23132i	0.332238	−	0.107951i
$897$	24.4086	+	20.3568i	0.814981	+	0.679693i
$898$	−1.39692	+	1.92269i	−0.0466157	+	0.0641611i
$899$	76.2639	−	55.4090i	2.54354	−	1.84799i
$900$	−4.30400	−	4.10669i	−0.143467	−	0.136890i
$901$		−	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
$906$	−0.173170	+	2.58803i	−0.00575318	+	0.0859816i
$907$	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
$909$	6.10853	−	3.29514i	0.202607	−	0.109293i
$910$	0.851770	+	1.17236i	0.0282359	+	0.0388634i
$911$	10.9254	+	3.54987i	0.361973	+	0.117612i	0.484357	−	0.874871i	$-0.339054\pi$
$911$	10.9254	+	3.54987i	0.361973	+	0.117612i	−0.122383	+	0.992483i	$0.539054\pi$
$912$	1.73755	+	2.76218i	0.0575360	+	0.0914649i
$913$	1.79481	−	1.39552i	0.0593994	−	0.0461850i
$914$		−	3.27144i		−	0.108210i
$915$	−1.84304	−	7.29866i	−0.0609291	−	0.241286i
$916$	−24.0708	+	17.4884i	−0.795320	+	0.577834i
$917$	−16.1155	+	22.1811i	−0.532181	+	0.732484i
$918$	−3.71291	+	1.69331i	−0.122544	+	0.0558876i
$919$	−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
$921$	−8.50585	−	3.40693i	−0.280277	−	0.112262i
$922$	0.628680	−	1.93488i	0.0207045	−	0.0637218i
$923$	8.77305			0.288769
$924$	−28.0017	+	8.04956i	−0.921187	+	0.264811i
$925$	−5.76176			−0.189445
$926$	0.271750	−	0.836359i	0.00893025	−	0.0274845i
$927$	0.460961	+	2.52551i	0.0151400	+	0.0829485i
$928$	−12.6220	−	9.17039i	−0.414336	−	0.301033i
$929$	45.6689	−	14.8387i	1.49835	−	0.486843i	0.558813	−	0.829294i	$-0.311257\pi$
$929$	45.6689	−	14.8387i	1.49835	−	0.486843i	0.939536	+	0.342450i	$0.111257\pi$
$930$	1.35482	−	1.62449i	0.0444263	−	0.0532691i
$931$	0.130128	−	0.179106i	0.00426478	−	0.00586997i
$932$	44.7707	−	32.5278i	1.46651	−	1.06548i
$933$	33.6675	−	8.50165i	1.10222	−	0.278332i
$934$		−	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
$939$	18.3134	+	1.22538i	0.597634	+	0.0399887i
$940$	−0.526281	−	1.61973i	−0.0171654	−	0.0528297i
$941$	10.5426	+	32.4467i	0.343678	+	1.05773i	0.962288	+	0.272033i	$0.0876960\pi$
$941$	10.5426	+	32.4467i	0.343678	+	1.05773i	−0.618610	+	0.785698i	$0.712304\pi$
$942$	−2.18956	−	0.146508i	−0.0713399	−	0.00477347i
$943$	−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	$-0.972572\pi$
$947$		−	5.29676i		−	0.172121i	0.996290	−	0.0860607i	$-0.0274279\pi$
$948$	33.8741	−	8.55383i	1.10018	−	0.277815i
$949$	−2.46608	+	1.79171i	−0.0800523	+	0.0581614i
$950$	0.0370810	−	0.0510376i	0.00120307	−	0.00165588i
$951$	10.1411	−	12.1597i	0.328849	−	0.394304i
$952$	7.60906	−	2.47233i	0.246611	−	0.0801288i
$953$	−2.74912	−	1.99736i	−0.0890529	−	0.0647007i	0.542368	−	0.840141i	$-0.317528\pi$
$953$	−2.74912	−	1.99736i	−0.0890529	−	0.0647007i	−0.631421	+	0.775440i	$0.717528\pi$
$954$	−3.60372	+	0.657760i	−0.116675	+	0.0212958i
$955$	−1.98900	+	6.12150i	−0.0643624	+	0.198087i
$956$	−26.4809			−0.856455
$957$	45.6309	+	35.6018i	1.47504	+	1.15084i
$958$	1.24539			0.0402368
$959$	−6.58774	+	20.2750i	−0.212729	+	0.654713i
$960$	12.2102	+	4.89066i	0.394082	+	0.157845i
$961$	−45.7465	−	33.2368i	−1.47569	−	1.07215i
$962$	3.10464	−	1.00876i	0.100098	−	0.0325237i
$963$	17.0533	+	2.29240i	0.549535	+	0.0738714i
$964$	19.5306	−	26.8815i	0.629037	−	0.865795i
$965$	−5.96504	+	4.33386i	−0.192022	+	0.139512i
$966$	−0.598495	−	2.37011i	−0.0192563	−	0.0762570i
$967$		−	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	0.406094	−	0.913831i	$-0.366891\pi$
$971$	−18.3382	−	25.2404i	−0.588501	−	0.810003i	−0.994595	+	0.103829i	$0.966891\pi$
$972$	−17.6680	−	25.3644i	−0.566700	−	0.813564i
$973$	3.99772	+	12.3037i	0.128161	+	0.394439i
$974$	0.899495	+	2.76836i	0.0288217	+	0.0887040i
$975$	−0.501937	+	7.50147i	−0.0160748	+	0.240239i
$976$	9.95804	+	13.7061i	0.318749	+	0.438720i
$977$	27.8798	+	9.05868i	0.891953	+	0.289813i	0.718911	−	0.695102i	$-0.244641\pi$
$977$	27.8798	+	9.05868i	0.891953	+	0.289813i	0.173041	+	0.984915i	$0.444641\pi$
$978$	0.169413	−	0.106569i	0.00541723	−	0.00340771i
$979$	−16.4367	+	5.93905i	−0.525319	+	0.189813i
$980$		−	0.908299i		−	0.0290146i
$981$	−4.52667	+	4.74416i	−0.144525	+	0.151469i
$982$	4.17934	−	3.03647i	0.133368	−	0.0968976i
$983$	2.80618	−	3.86238i	0.0895034	−	0.123191i	−0.761917	−	0.647675i	$-0.775742\pi$
$983$	2.80618	−	3.86238i	0.0895034	−	0.123191i	0.851420	+	0.524484i	$0.175742\pi$
$984$	−3.12905	−	2.60962i	−0.0997503	−	0.0831916i
$985$	19.7095	−	6.40401i	0.627998	−	0.204049i
$986$	−6.40127	−	4.65079i	−0.203858	−	0.148111i
$987$	1.41472	−	3.53204i	0.0450311	−	0.112426i
$988$	1.28556	−	3.95654i	0.0408990	−	0.125874i
$989$	−18.4151			−0.585566
$990$	1.18836	+	0.523877i	0.0377685	+	0.0166499i
$991$	−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
$993$	−15.7114	+	39.2255i	−0.498585	+	1.24478i
$994$	−0.545884	−	0.396608i	−0.0173144	−	0.0125796i
$995$	13.4020	−	4.35456i	0.424870	−	0.138049i
$996$	−1.80808	−	1.50794i	−0.0572913	−	0.0477808i
$997$	−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
$999$	−29.3396	−	5.96076i	−0.928263	−	0.188590i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(-0.0403345 + 0.124137i) q^{2} +(-0.644015 + 1.60787i) q^{3} +(1.60425 + 1.16556i) q^{4} +(-0.951057 + 0.309017i) q^{5} +(-0.173620 - 0.144799i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(-0.420589 + 0.305576i) q^{8} +(-2.17049 - 2.07099i) q^{9} +O(q^{10})\)	\(q+(-0.0403345 + 0.124137i) q^{2} +(-0.644015 + 1.60787i) q^{3} +(1.60425 + 1.16556i) q^{4} +(-0.951057 + 0.309017i) q^{5} +(-0.173620 - 0.144799i) q^{6} +(-1.50339 + 2.06924i) q^{7} +(-0.420589 + 0.305576i) q^{8} +(-2.17049 - 2.07099i) 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} +(0.115636 - 1.72819i) q^{15} +(1.20457 + 3.70728i) q^{16} +(1.85931 + 5.72238i) q^{17} +(0.344631 - 0.185905i) 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} +(-0.220460 - 0.873048i) q^{24} +(0.809017 - 0.587785i) q^{25} +(-0.333019 + 0.458361i) q^{26} +(4.72770 - 2.15612i) q^{27} +(-4.82364 + 1.56729i) q^{28} +(8.15082 + 5.92192i) q^{29} +(0.209867 + 0.0840602i) q^{30} +(2.89135 - 8.89865i) q^{31} -1.54855 q^{32} +(5.74120 + 0.196654i) q^{33} -0.785353 q^{34} +(0.790380 - 2.43254i) q^{35} +(-1.06816 - 5.85221i) q^{36} +(-4.66136 - 3.38667i) q^{37} +(0.0599983 - 0.0194946i) q^{38} +(-4.81533 + 5.77379i) q^{39} +(0.305576 - 0.420589i) q^{40} +(3.66070 - 2.65965i) q^{41} +(0.560642 - 0.141572i) 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} +(-6.73659 - 0.450757i) q^{48} +(0.141546 + 0.435633i) q^{49} +(0.0403345 + 0.124137i) q^{50} +(-10.3983 - 0.695766i) 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} +(0.811664 - 0.204960i) q^{57} +(-1.06389 + 0.772959i) q^{58} +(-4.80009 + 6.60676i) q^{59} +(2.19981 - 2.63766i) q^{60} +(4.13344 - 1.34304i) q^{61} +(0.988029 + 0.717845i) q^{62} +(7.54846 - 1.37776i) q^{63} +(-2.34668 + 7.22234i) q^{64} -4.34066 q^{65} +(-0.255980 + 0.704762i) q^{66} +4.84220 q^{67} +(-3.68695 + 11.3473i) q^{68} +(6.79725 + 2.72257i) q^{69} +(0.270088 + 0.196231i) q^{70} +(1.92221 - 0.624564i) q^{71} +(1.54573 + 0.207785i) q^{72} +(-0.412774 + 0.568135i) q^{73} +(0.608425 - 0.442046i) q^{74} +(0.424063 + 1.67934i) 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} +(0.422042 + 8.99010i) q^{81} +(0.182508 + 0.561703i) q^{82} +(0.211827 + 0.651936i) q^{83} +(0.586491 - 8.76514i) 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} +(-0.270316 + 0.283303i) q^{90} +(-8.98188 + 6.52572i) q^{91} +(4.92738 - 6.78196i) q^{92} +(12.4458 + 10.3798i) q^{93} +(-0.106616 + 0.0346416i) q^{94} +(0.391017 + 0.284091i) q^{95} +(0.997290 - 2.48987i) q^{96} +(2.30394 - 7.09081i) q^{97} -0.0597872 q^{98} +(-4.01361 + 9.10445i) 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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