LMFDB - Embedded newform 165.2.w.a.13.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(7,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 14]))

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

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

chi := DirichletCharacter("165.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.w (of order $20$, degree $8$, 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:	$96$
Relative dimension:	$12$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			13.6
Character	$\chi$	$=$	165.13
Dual form			165.2.w.a.127.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.169439 + 0.0863333i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.15431 + 1.58878i) q^{4} +(-2.23301 - 0.116851i) q^{5} +(-0.180858 + 0.0587644i) q^{6} +(0.692240 + 4.37063i) q^{7} +(0.117918 - 0.744505i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-0.169439 + 0.0863333i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.15431 + 1.58878i) q^{4} +(-2.23301 - 0.116851i) q^{5} +(-0.180858 + 0.0587644i) q^{6} +(0.692240 + 4.37063i) q^{7} +(0.117918 - 0.744505i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.388447 - 0.172984i) q^{10} +(2.19294 + 2.48818i) q^{11} +(-1.38864 + 1.38864i) q^{12} +(-0.337736 - 0.662843i) q^{13} +(-0.494623 - 0.680791i) q^{14} +(-2.18724 - 0.464733i) q^{15} +(-1.16942 - 3.59911i) q^{16} +(2.77493 - 5.44611i) q^{17} +(-0.187824 + 0.0297484i) q^{18} +(-1.86290 + 1.35348i) q^{19} +(2.76325 - 3.41288i) q^{20} +4.42511i q^{21} +(-0.586381 - 0.232270i) q^{22} +(1.08373 + 1.08373i) q^{23} +(0.232932 - 0.716892i) q^{24} +(4.97269 + 0.521861i) q^{25} +(0.114451 + 0.0831535i) q^{26} +(0.891007 + 0.453990i) q^{27} +(-7.74302 - 3.94527i) q^{28} +(-3.68428 - 2.67678i) q^{29} +(0.410725 - 0.110088i) q^{30} +(-1.83770 + 5.65587i) q^{31} +(1.57488 + 1.57488i) q^{32} +(1.77670 + 2.80059i) q^{33} +1.16235i q^{34} +(-1.03507 - 9.84056i) q^{35} +(-1.58878 + 1.15431i) q^{36} +(11.2960 - 1.78912i) q^{37} +(0.198798 - 0.390163i) q^{38} +(-0.229886 - 0.707516i) q^{39} +(-0.350309 + 1.64871i) q^{40} +(-2.87880 - 3.96233i) q^{41} +(-0.382035 - 0.749785i) q^{42} +(6.69477 - 6.69477i) q^{43} +(-6.48450 + 0.611950i) q^{44} +(-2.08761 - 0.801171i) q^{45} +(-0.277187 - 0.0900636i) q^{46} +(-0.447653 + 2.82637i) q^{47} +(-0.592000 - 3.73774i) q^{48} +(-11.9658 + 3.88793i) q^{49} +(-0.887621 + 0.340886i) q^{50} +(3.59273 - 4.94497i) q^{51} +(1.44296 + 0.228543i) q^{52} +(1.76806 - 0.900873i) q^{53} -0.190166 q^{54} +(-4.60611 - 5.81238i) q^{55} +3.33558 q^{56} +(-2.05170 + 1.04539i) q^{57} +(0.855355 + 0.135475i) q^{58} +(3.76070 - 5.17616i) q^{59} +(3.26312 - 2.93859i) q^{60} +(-3.31609 + 1.07746i) q^{61} +(-0.176912 - 1.11698i) q^{62} +(-0.692240 + 4.37063i) q^{63} +(6.79541 + 2.20796i) q^{64} +(0.676714 + 1.51960i) q^{65} +(-0.542827 - 0.321141i) q^{66} +(-1.67534 + 1.67534i) q^{67} +(5.44952 + 10.6953i) q^{68} +(0.900853 + 1.23992i) q^{69} +(1.02495 + 1.57801i) q^{70} +(4.04768 + 12.4575i) q^{71} +(0.342211 - 0.671627i) q^{72} +(6.38959 - 1.01201i) q^{73} +(-1.75952 + 1.27837i) q^{74} +(4.82983 + 1.29334i) q^{75} -4.52208i q^{76} +(-9.35687 + 11.3069i) q^{77} +(0.100034 + 0.100034i) q^{78} +(0.682893 - 2.10173i) q^{79} +(2.19077 + 8.17351i) q^{80} +(0.809017 + 0.587785i) q^{81} +(0.829862 + 0.422836i) q^{82} +(-5.71124 - 2.91002i) q^{83} +(-7.03052 - 5.10797i) q^{84} +(-6.83285 + 11.8370i) q^{85} +(-0.556372 + 1.71234i) q^{86} +(-3.22018 - 3.22018i) q^{87} +(2.11105 - 1.33925i) q^{88} +12.1570i q^{89} +(0.422890 - 0.0444811i) q^{90} +(2.66325 - 1.93496i) q^{91} +(-2.97277 + 0.470840i) q^{92} +(-2.69985 + 5.29875i) q^{93} +(-0.168160 - 0.517544i) q^{94} +(4.31805 - 2.80465i) q^{95} +(1.30913 + 1.80186i) q^{96} +(-3.16781 - 6.21718i) q^{97} +(1.69182 - 1.69182i) q^{98} +(1.31672 + 3.04405i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) $ 96 * q - 8 * q^5 - 20 * q^7	$ 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) $ 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.169439	+	0.0863333i	−0.119811	+	0.0610469i	−0.512869	−	0.858467i	$-0.671417\pi$
$2$	−0.169439	+	0.0863333i	−0.119811	+	0.0610469i	0.393058	+	0.919514i	$0.371417\pi$
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	−1.15431	+	1.58878i	−0.577157	+	0.794389i
$5$	−2.23301	−	0.116851i	−0.998634	−	0.0522575i
$5$	−2.23301	−	0.116851i	−0.998634	−	0.0522575i
$6$	−0.180858	+	0.0587644i	−0.0738350	+	0.0239905i
$7$	0.692240	+	4.37063i	0.261642	+	1.65194i	0.672392	+	0.740195i	$0.265267\pi$
$7$	0.692240	+	4.37063i	0.261642	+	1.65194i	−0.410750	+	0.911748i	$0.634733\pi$
$8$	0.117918	−	0.744505i	0.0416903	−	0.263222i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	0.388447	−	0.172984i	0.122838	−	0.0547024i
$11$	2.19294	+	2.48818i	0.661195	+	0.750214i
$11$	2.19294	+	2.48818i	0.661195	+	0.750214i
$12$	−1.38864	+	1.38864i	−0.400867	+	0.400867i
$13$	−0.337736	−	0.662843i	−0.0936710	−	0.183840i	0.839417	−	0.543488i	$-0.182897\pi$
$13$	−0.337736	−	0.662843i	−0.0936710	−	0.183840i	−0.933088	+	0.359648i	$0.882897\pi$
$14$	−0.494623	−	0.680791i	−0.132194	−	0.181949i
$15$	−2.18724	−	0.464733i	−0.564743	−	0.119994i
$16$	−1.16942	−	3.59911i	−0.292356	−	0.899778i
$17$	2.77493	−	5.44611i	0.673020	−	1.32088i	−0.261582	−	0.965181i	$-0.584244\pi$
$17$	2.77493	−	5.44611i	0.673020	−	1.32088i	0.934602	−	0.355695i	$-0.115756\pi$
$18$	−0.187824	+	0.0297484i	−0.0442706	+	0.00701177i
$19$	−1.86290	+	1.35348i	−0.427380	+	0.310510i	−0.780600	−	0.625031i	$-0.785087\pi$
$19$	−1.86290	+	1.35348i	−0.427380	+	0.310510i	0.353221	+	0.935540i	$0.385087\pi$
$20$	2.76325	−	3.41288i	0.617881	−	0.763143i
$21$			4.42511i			0.965638i
$22$	−0.586381	−	0.232270i	−0.125017	−	0.0495201i
$23$	1.08373	+	1.08373i	0.225973	+	0.225973i	0.811008	−	0.585035i	$-0.198919\pi$
$23$	1.08373	+	1.08373i	0.225973	+	0.225973i	−0.585035	+	0.811008i	$0.698919\pi$
$24$	0.232932	−	0.716892i	0.0475471	−	0.146335i
$25$	4.97269	+	0.521861i	0.994538	+	0.104372i
$26$	0.114451	+	0.0831535i	0.0224457	+	0.0163077i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	−7.74302	−	3.94527i	−1.46329	−	0.745585i
$29$	−3.68428	−	2.67678i	−0.684153	−	0.497066i	0.190580	−	0.981672i	$-0.438963\pi$
$29$	−3.68428	−	2.67678i	−0.684153	−	0.497066i	−0.874733	+	0.484605i	$0.838963\pi$
$30$	0.410725	−	0.110088i	0.0749878	−	0.0200992i
$31$	−1.83770	+	5.65587i	−0.330061	+	1.01582i	0.639043	+	0.769171i	$0.279331\pi$
$31$	−1.83770	+	5.65587i	−0.330061	+	1.01582i	−0.969104	+	0.246652i	$0.920669\pi$
$32$	1.57488	+	1.57488i	0.278402	+	0.278402i
$33$	1.77670	+	2.80059i	0.309284	+	0.487521i
$34$			1.16235i			0.199342i
$35$	−1.03507	−	9.84056i	−0.174958	−	1.66336i
$36$	−1.58878	+	1.15431i	−0.264796	+	0.192386i
$37$	11.2960	−	1.78912i	1.85706	−	0.294129i	0.875201	−	0.483760i	$-0.160729\pi$
$37$	11.2960	−	1.78912i	1.85706	−	0.294129i	0.981855	+	0.189631i	$0.0607291\pi$
$38$	0.198798	−	0.390163i	0.0322493	−	0.0632927i
$39$	−0.229886	−	0.707516i	−0.0368112	−	0.113293i
$40$	−0.350309	+	1.64871i	−0.0553887	+	0.260684i
$41$	−2.87880	−	3.96233i	−0.449594	−	0.618812i	0.522717	−	0.852506i	$-0.324919\pi$
$41$	−2.87880	−	3.96233i	−0.449594	−	0.618812i	−0.972310	+	0.233694i	$0.924919\pi$
$42$	−0.382035	−	0.749785i	−0.0589492	−	0.115694i
$43$	6.69477	−	6.69477i	1.02094	−	1.02094i	0.0211675	−	0.999776i	$-0.493262\pi$
$43$	6.69477	−	6.69477i	1.02094	−	1.02094i	0.999776	−	0.0211675i	$-0.00673832\pi$
$44$	−6.48450	+	0.611950i	−0.977575	+	0.0922549i
$45$	−2.08761	−	0.801171i	−0.311203	−	0.119432i
$46$	−0.277187	−	0.0900636i	−0.0408690	−	0.0132792i
$47$	−0.447653	+	2.82637i	−0.0652969	+	0.412268i	0.933290	+	0.359124i	$0.116924\pi$
$47$	−0.447653	+	2.82637i	−0.0652969	+	0.412268i	−0.998587	+	0.0531445i	$0.983076\pi$
$48$	−0.592000	−	3.73774i	−0.0854478	−	0.539496i
$49$	−11.9658	+	3.88793i	−1.70940	+	0.555419i
$50$	−0.887621	+	0.340886i	−0.125528	+	0.0482085i
$51$	3.59273	−	4.94497i	0.503083	−	0.692434i
$52$	1.44296	+	0.228543i	0.200103	+	0.0316932i
$53$	1.76806	−	0.900873i	0.242862	−	0.123744i	−0.328324	−	0.944565i	$-0.606484\pi$
$53$	1.76806	−	0.900873i	0.242862	−	0.123744i	0.571186	+	0.820821i	$0.306484\pi$
$54$	−0.190166			−0.0258782
$55$	−4.60611	−	5.81238i	−0.621088	−	0.783741i
$56$	3.33558			0.445736
$57$	−2.05170	+	1.04539i	−0.271754	+	0.138466i
$58$	0.855355	+	0.135475i	0.112314	+	0.0177887i
$59$	3.76070	−	5.17616i	0.489602	−	0.673879i	−0.490713	−	0.871321i	$-0.663264\pi$
$59$	3.76070	−	5.17616i	0.489602	−	0.673879i	0.980314	+	0.197443i	$0.0632636\pi$
$60$	3.26312	−	2.93859i	0.421267	−	0.379371i
$61$	−3.31609	+	1.07746i	−0.424581	+	0.137955i	−0.513511	−	0.858083i	$-0.671655\pi$
$61$	−3.31609	+	1.07746i	−0.424581	+	0.137955i	0.0889296	+	0.996038i	$0.471655\pi$
$62$	−0.176912	−	1.11698i	−0.0224678	−	0.141856i
$63$	−0.692240	+	4.37063i	−0.0872140	+	0.550648i
$64$	6.79541	+	2.20796i	0.849427	+	0.275995i
$65$	0.676714	+	1.51960i	0.0839360	+	0.188484i
$66$	−0.542827	−	0.321141i	−0.0668174	−	0.0395297i
$67$	−1.67534	+	1.67534i	−0.204675	+	0.204675i	−0.802000	−	0.597325i	$-0.796230\pi$
$67$	−1.67534	+	1.67534i	−0.204675	+	0.204675i	0.597325	+	0.802000i	$0.296230\pi$
$68$	5.44952	+	10.6953i	0.660851	+	1.29699i
$69$	0.900853	+	1.23992i	0.108450	+	0.149269i
$70$	1.02495	+	1.57801i	0.122505	+	0.188608i
$71$	4.04768	+	12.4575i	0.480372	+	1.47843i	0.838574	+	0.544788i	$0.183390\pi$
$71$	4.04768	+	12.4575i	0.480372	+	1.47843i	−0.358202	+	0.933644i	$0.616610\pi$
$72$	0.342211	−	0.671627i	0.0403300	−	0.0791521i
$73$	6.38959	−	1.01201i	0.747845	−	0.118447i	0.229132	−	0.973395i	$-0.426411\pi$
$73$	6.38959	−	1.01201i	0.747845	−	0.118447i	0.518713	+	0.854948i	$0.326411\pi$
$74$	−1.75952	+	1.27837i	−0.204541	+	0.148607i
$75$	4.82983	+	1.29334i	0.557701	+	0.149342i
$76$		−	4.52208i		−	0.518718i
$77$	−9.35687	+	11.3069i	−1.06631	+	1.28854i
$78$	0.100034	+	0.100034i	0.0113266	+	0.0113266i
$79$	0.682893	−	2.10173i	0.0768315	−	0.236463i	−0.905263	−	0.424851i	$-0.860326\pi$
$79$	0.682893	−	2.10173i	0.0768315	−	0.236463i	0.982095	+	0.188388i	$0.0603264\pi$
$80$	2.19077	+	8.17351i	0.244936	+	0.913826i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	0.829862	+	0.422836i	0.0916429	+	0.0466944i
$83$	−5.71124	−	2.91002i	−0.626890	−	0.319416i	0.111526	−	0.993761i	$-0.464426\pi$
$83$	−5.71124	−	2.91002i	−0.626890	−	0.319416i	−0.738416	+	0.674345i	$0.764426\pi$
$84$	−7.03052	−	5.10797i	−0.767092	−	0.557325i
$85$	−6.83285	+	11.8370i	−0.741126	+	1.28390i
$86$	−0.556372	+	1.71234i	−0.0599951	+	0.184646i
$87$	−3.22018	−	3.22018i	−0.345239	−	0.345239i
$88$	2.11105	−	1.33925i	0.225038	−	0.142765i
$89$			12.1570i			1.28864i	0.764755	+	0.644321i	$0.222860\pi$
$89$			12.1570i			1.28864i	−0.764755	+	0.644321i	$0.777140\pi$
$90$	0.422890	−	0.0444811i	0.0445765	−	0.00468872i
$91$	2.66325	−	1.93496i	0.279184	−	0.202839i
$92$	−2.97277	+	0.470840i	−0.309932	+	0.0490884i
$93$	−2.69985	+	5.29875i	−0.279961	+	0.549455i
$94$	−0.168160	−	0.517544i	−0.0173444	−	0.0533805i
$95$	4.31805	−	2.80465i	0.443022	−	0.287751i
$96$	1.30913	+	1.80186i	0.133612	+	0.183901i
$97$	−3.16781	−	6.21718i	−0.321642	−	0.631259i	0.672408	−	0.740181i	$-0.265260\pi$
$97$	−3.16781	−	6.21718i	−0.321642	−	0.631259i	−0.994050	+	0.108922i	$0.965260\pi$
$98$	1.69182	−	1.69182i	0.170899	−	0.170899i
$99$	1.31672	+	3.04405i	0.132335	+	0.305939i
$100$	−6.56917	+	7.29811i	−0.656917	+	0.729811i
$101$	−12.2021	−	3.96471i	−1.21416	−	0.394503i	−0.369205	−	0.929348i	$-0.620370\pi$
$101$	−12.2021	−	3.96471i	−1.21416	−	0.394503i	−0.844950	+	0.534845i	$0.820370\pi$
$102$	−0.181832	+	1.14804i	−0.0180040	+	0.113673i
$103$	−0.512329	−	3.23472i	−0.0504812	−	0.318726i	−0.999988	−	0.00497827i	$-0.998415\pi$
$103$	−0.512329	−	3.23472i	−0.0504812	−	0.318726i	0.949506	−	0.313748i	$-0.101585\pi$
$104$	−0.533315	+	0.173285i	−0.0522959	+	0.0169920i
$105$	0.517080	−	9.88133i	0.0504619	−	0.964319i
$106$	−0.221803	+	0.305286i	−0.0215434	+	0.0296520i
$107$	−1.58358	−	0.250814i	−0.153090	−	0.0242471i	0.0794190	−	0.996841i	$-0.474694\pi$
$107$	−1.58358	−	0.250814i	−0.153090	−	0.0242471i	−0.232509	+	0.972594i	$0.574694\pi$
$108$	−1.74979	+	0.891563i	−0.168374	+	0.0857907i
$109$	6.56393			0.628711			0.314355	−	0.949305i	$-0.398212\pi$
$109$	6.56393			0.628711			0.314355	+	0.949305i	$0.398212\pi$
$110$	1.28226	+	0.587181i	0.122258	+	0.0559856i
$111$	11.4368			1.08554
$112$	14.9209	−	7.60256i	1.40989	−	0.718375i
$113$	−4.47836	−	0.709303i	−0.421289	−	0.0667256i	−0.0578091	−	0.998328i	$-0.518411\pi$
$113$	−4.47836	−	0.709303i	−0.421289	−	0.0667256i	−0.363480	+	0.931602i	$0.618411\pi$
$114$	0.257385	−	0.354260i	0.0241063	−	0.0331795i
$115$	−2.29334	−	2.54661i	−0.213855	−	0.237473i
$116$	8.50563	−	2.76365i	0.789728	−	0.256598i
$117$	−0.116376	−	0.734768i	−0.0107589	−	0.0679293i
$118$	−0.190333	+	1.20172i	−0.0175216	+	0.110627i
$119$	25.7239	+	8.35819i	2.35810	+	0.766194i
$120$	−0.603911	+	1.57361i	−0.0551293	+	0.143650i
$121$	−1.38206	+	10.9128i	−0.125641	+	0.992076i
$122$	0.468852	−	0.468852i	0.0424479	−	0.0424479i
$123$	−2.22352	−	4.36389i	−0.200488	−	0.393479i
$124$	−6.86463	−	9.44835i	−0.616462	−	0.848487i
$125$	−11.0431	−	1.74639i	−0.987725	−	0.156202i
$126$	−0.260039	−	0.800317i	−0.0231661	−	0.0712979i
$127$	3.53761	−	6.94296i	0.313913	−	0.616088i	−0.679107	−	0.734039i	$-0.737633\pi$
$127$	3.53761	−	6.94296i	0.313913	−	0.616088i	0.993019	+	0.117951i	$0.0376327\pi$
$128$	−5.74162	+	0.909384i	−0.507493	+	0.0803789i
$129$	7.65964	−	5.56506i	0.674394	−	0.489976i
$130$	−0.245854	−	0.199057i	−0.0215628	−	0.0174584i
$131$		−	3.58351i		−	0.313092i	−0.987671	−	0.156546i	$-0.949964\pi$
$131$		−	3.58351i		−	0.313092i	0.987671	−	0.156546i	$-0.0500360\pi$
$132$	−6.50039	−	0.409984i	−0.565787	−	0.0356845i
$133$	−7.20514	−	7.20514i	−0.624765	−	0.624765i
$134$	0.139229	−	0.428504i	0.0120276	−	0.0370171i
$135$	−1.93658	−	1.11788i	−0.166674	−	0.0962120i
$136$	−3.72744	−	2.70815i	−0.319626	−	0.232222i
$137$	−6.63085	−	3.37859i	−0.566512	−	0.288652i	0.147182	−	0.989109i	$-0.452980\pi$
$137$	−6.63085	−	3.37859i	−0.566512	−	0.288652i	−0.713695	+	0.700457i	$0.752980\pi$
$138$	−0.259686	−	0.132316i	−0.0221059	−	0.0112635i
$139$	1.65255	+	1.20065i	0.140168	+	0.101838i	0.655659	−	0.755057i	$-0.272391\pi$
$139$	1.65255	+	1.20065i	0.140168	+	0.101838i	−0.515492	+	0.856895i	$0.672391\pi$
$140$	16.8293	+	9.71461i	1.42233	+	0.821035i
$141$	−0.884283	+	2.72154i	−0.0744700	+	0.229195i
$142$	−1.76133	−	1.76133i	−0.147808	−	0.147808i
$143$	0.908639	−	2.29392i	0.0759842	−	0.191827i
$144$		−	3.78433i		−	0.315361i
$145$	7.91425	+	6.40780i	0.657243	+	0.532139i
$146$	−0.995274	+	0.723109i	−0.0823695	+	0.0598449i
$147$	−12.4267	+	1.96820i	−1.02494	+	0.162334i
$148$	−10.1967	+	20.0121i	−0.838161	+	1.64498i
$149$	−4.73400	−	14.5698i	−0.387825	−	1.19360i	−0.934410	−	0.356198i	$-0.884073\pi$
$149$	−4.73400	−	14.5698i	−0.387825	−	1.19360i	0.546586	−	0.837403i	$-0.315927\pi$
$150$	−0.930019	+	0.197834i	−0.0759357	+	0.0161531i
$151$	−13.1927	−	18.1583i	−1.07361	−	1.47770i	−0.866367	−	0.499408i	$-0.833551\pi$
$151$	−13.1927	−	18.1583i	−1.07361	−	1.47770i	−0.207244	−	0.978289i	$-0.566449\pi$
$152$	0.788002	+	1.54654i	0.0639154	+	0.125441i
$153$	4.32206	−	4.32206i	0.349418	−	0.349418i
$154$	0.609250	−	2.72364i	0.0490948	−	0.219477i
$155$	4.76451	−	12.4149i	0.382695	−	0.997187i
$156$	1.38945	+	0.451459i	0.111245	+	0.0361456i
$157$	−0.00220742	+	0.0139371i	−0.000176171	+	0.00111230i	−0.987776	−	0.155878i	$-0.950179\pi$
$157$	−0.00220742	+	0.0139371i	−0.000176171	+	0.00111230i	0.987600	+	0.156991i	$0.0501792\pi$
$158$	0.0657407	+	0.415071i	0.00523005	+	0.0330212i
$159$	1.88722	−	0.613196i	0.149667	−	0.0486296i
$160$	−3.33270	−	3.70076i	−0.263473	−	0.292571i
$161$	−3.98637	+	5.48677i	−0.314170	+	0.432418i
$162$	−0.187824	−	0.0297484i	−0.0147569	−	0.00233726i
$163$	4.04798	−	2.06255i	0.317062	−	0.161551i	−0.288216	−	0.957566i	$-0.593062\pi$
$163$	4.04798	−	2.06255i	0.317062	−	0.161551i	0.605278	+	0.796014i	$0.293062\pi$
$164$	9.61831			0.751064
$165$	−3.64014	−	6.46137i	−0.283385	−	0.503017i
$166$	1.21894			0.0946079
$167$	−6.51699	+	3.32057i	−0.504300	+	0.256954i	−0.687582	−	0.726107i	$-0.741328\pi$
$167$	−6.51699	+	3.32057i	−0.504300	+	0.256954i	0.183282	+	0.983060i	$0.441328\pi$
$168$	3.29452	+	0.521800i	0.254177	+	0.0402578i
$169$	7.31591	−	10.0695i	0.562762	−	0.774576i
$170$	0.135822	−	2.59555i	0.0104171	−	0.199069i
$171$	−2.18998	+	0.711566i	−0.167472	+	0.0544148i
$172$	2.90863	+	18.3644i	0.221781	+	1.40027i
$173$	−2.76250	+	17.4418i	−0.210029	+	1.32607i	0.627045	+	0.778983i	$0.284264\pi$
$173$	−2.76250	+	17.4418i	−0.210029	+	1.32607i	−0.837074	+	0.547090i	$0.815736\pi$
$174$	0.823631	+	0.267614i	0.0624393	+	0.0202878i
$175$	1.16143	+	22.0951i	0.0877960	+	1.67023i
$176$	6.39076	−	10.8024i	0.481722	−	0.814258i
$177$	4.52413	−	4.52413i	0.340054	−	0.340054i
$178$	−1.04956	−	2.05987i	−0.0786676	−	0.154394i
$179$	−2.77733	−	3.82267i	−0.207588	−	0.285720i	0.692510	−	0.721408i	$-0.256505\pi$
$179$	−2.77733	−	3.82267i	−0.207588	−	0.285720i	−0.900098	+	0.435688i	$0.856505\pi$
$180$	3.68264	−	2.39195i	0.274488	−	0.178285i
$181$	−6.17415	−	19.0021i	−0.458921	−	1.41241i	−0.866470	−	0.499230i	$-0.833616\pi$
$181$	−6.17415	−	19.0021i	−0.458921	−	1.41241i	0.407549	−	0.913183i	$-0.366384\pi$
$182$	−0.284206	+	0.557785i	−0.0210667	+	0.0413458i
$183$	−3.44381	+	0.545446i	−0.254574	+	0.0403205i
$184$	0.934632	−	0.679050i	0.0689020	−	0.0500602i
$185$	−25.4332	+	2.67516i	−1.86989	+	0.196682i
$186$		−	1.13090i		−	0.0829217i
$187$	19.6361	−	5.03846i	1.43594	−	0.368448i
$188$	−3.97374	−	3.97374i	−0.289815	−	0.289815i
$189$	−1.36743	+	4.20853i	−0.0994662	+	0.306126i
$190$	−0.489509	+	0.848008i	−0.0355127	+	0.0615210i
$191$	5.16580	+	3.75318i	0.373784	+	0.271570i	0.758779	−	0.651349i	$-0.225796\pi$
$191$	5.16580	+	3.75318i	0.373784	+	0.271570i	−0.384994	+	0.922919i	$0.625796\pi$
$192$	6.36635	+	3.24382i	0.459452	+	0.234102i
$193$	2.49147	+	1.26947i	0.179340	+	0.0913782i	0.541356	−	0.840794i	$-0.317911\pi$
$193$	2.49147	+	1.26947i	0.179340	+	0.0913782i	−0.362016	+	0.932172i	$0.617911\pi$
$194$	1.07350	+	0.779943i	0.0770728	+	0.0559966i
$195$	0.430664	+	1.60676i	0.0308405	+	0.115062i
$196$	7.63526	−	23.4989i	0.545376	−	1.67849i
$197$	−3.13803	−	3.13803i	−0.223576	−	0.223576i	0.586427	−	0.810002i	$-0.300534\pi$
$197$	−3.13803	−	3.13803i	−0.223576	−	0.223576i	−0.810002	+	0.586427i	$0.800534\pi$
$198$	−0.485906	−	0.402104i	−0.0345318	−	0.0285763i
$199$			17.1904i			1.21859i	0.792942	+	0.609296i	$0.208548\pi$
$199$			17.1904i			1.21859i	−0.792942	+	0.609296i	$0.791452\pi$
$200$	0.974898	−	3.64066i	0.0689357	−	0.257433i
$201$	−1.91679	+	1.39263i	−0.135200	+	0.0982285i
$202$	2.40980	−	0.381674i	0.169553	−	0.0268545i
$203$	9.14883	−	17.9556i	0.642122	−	1.26024i
$204$	3.70931	+	11.4161i	0.259704	+	0.799286i
$205$	5.96540	+	9.18433i	0.416642	+	0.641462i
$206$	0.366072	+	0.503855i	0.0255055	+	0.0351052i
$207$	0.695796	+	1.36558i	0.0483612	+	0.0949142i
$208$	−1.99069	+	1.99069i	−0.138030	+	0.138030i
$209$	−7.45293	−	1.66714i	−0.515530	−	0.115319i
$210$	0.765475	+	1.71892i	0.0528228	+	0.118617i
$211$	−4.67240	−	1.51816i	−0.321661	−	0.104514i	0.143736	−	0.989616i	$-0.454088\pi$
$211$	−4.67240	−	1.51816i	−0.321661	−	0.104514i	−0.465397	+	0.885102i	$0.654088\pi$
$212$	−0.609614	+	3.84895i	−0.0418685	+	0.264347i
$213$	2.04907	+	12.9373i	0.140400	+	0.886450i
$214$	0.289973	−	0.0942178i	0.0198221	−	0.00644060i
$215$	−15.7318	+	14.1672i	−1.07290	+	0.966196i
$216$	0.443064	−	0.609825i	0.0301467	−	0.0414933i
$217$	−25.9918	−	4.11670i	−1.76444	−	0.279460i
$218$	−1.11218	+	0.566686i	−0.0753266	+	0.0383808i
$219$	6.46924			0.437151
$220$	14.5515	−	0.608768i	0.981060	−	0.0410432i
$221$	−4.54711			−0.305872
$222$	−1.93784	+	0.987381i	−0.130060	+	0.0662686i
$223$	7.26815	+	1.15116i	0.486711	+	0.0770875i	0.394967	−	0.918695i	$-0.370756\pi$
$223$	7.26815	+	1.15116i	0.486711	+	0.0770875i	0.0917438	+	0.995783i	$0.470756\pi$
$224$	−5.79303	+	7.97342i	−0.387063	+	0.532747i
$225$	4.56805	+	2.03297i	0.304536	+	0.135531i
$226$	0.820045	−	0.266449i	0.0545486	−	0.0177239i
$227$	−4.00337	−	25.2763i	−0.265713	−	1.67765i	−0.654300	−	0.756235i	$-0.727037\pi$
$227$	−4.00337	−	25.2763i	−0.265713	−	1.67765i	0.388587	−	0.921412i	$-0.372963\pi$
$228$	0.707410	−	4.46641i	0.0468493	−	0.295795i
$229$	−13.0683	−	4.24616i	−0.863579	−	0.280594i	−0.156457	−	0.987685i	$-0.550007\pi$
$229$	−13.0683	−	4.24616i	−0.863579	−	0.280594i	−0.707123	+	0.707091i	$0.750007\pi$
$230$	0.608439	+	0.233503i	0.0401193	+	0.0153967i
$231$	−11.0105	+	9.70399i	−0.724435	+	0.638476i
$232$	−2.42732	+	2.42732i	−0.159361	+	0.159361i
$233$	6.48583	+	12.7292i	0.424901	+	0.833915i	0.999876	+	0.0157440i	$0.00501167\pi$
$233$	6.48583	+	12.7292i	0.424901	+	0.833915i	−0.574975	+	0.818171i	$0.694988\pi$
$234$	0.0831535	+	0.114451i	0.00543591	+	0.00748189i
$235$	1.32988	−	6.25901i	0.0867518	−	0.408293i
$236$	3.88274	+	11.9498i	0.252745	+	0.777868i
$237$	1.00327	−	1.96902i	0.0651693	−	0.127902i
$238$	−5.08021	+	0.804626i	−0.329301	+	0.0521562i
$239$	20.7592	−	15.0824i	1.34280	−	0.975602i	0.343465	−	0.939166i	$-0.388399\pi$
$239$	20.7592	−	15.0824i	1.34280	−	0.975602i	0.999336	−	0.0364361i	$-0.0116005\pi$
$240$	0.885183	+	8.41559i	0.0571383	+	0.543224i
$241$			16.1768i			1.04204i	0.853545	+	0.521019i	$0.174448\pi$
$241$			16.1768i			1.04204i	−0.853545	+	0.521019i	$0.825552\pi$
$242$	−0.707968	−	1.96837i	−0.0455099	−	0.126532i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	2.11596	−	6.51225i	0.135460	−	0.416904i
$245$	27.1741	−	7.28358i	1.73609	−	0.465331i
$246$	0.753499	+	0.547449i	0.0480413	+	0.0349041i
$247$	1.52631	+	0.777696i	0.0971171	+	0.0494836i
$248$	3.99412	+	2.03511i	0.253627	+	0.129229i
$249$	−5.18570	−	3.76763i	−0.328630	−	0.238764i
$250$	2.02190	−	0.657482i	0.127876	−	0.0415828i
$251$	4.62775	−	14.2428i	0.292101	−	0.898995i	−0.692079	−	0.721822i	$-0.743305\pi$
$251$	4.62775	−	14.2428i	0.292101	−	0.898995i	0.984180	−	0.177173i	$-0.0566952\pi$
$252$	−6.14490	−	6.14490i	−0.387092	−	0.387092i
$253$	−0.319960	+	5.07305i	−0.0201157	+	0.318940i
$254$			1.48182i			0.0929777i
$255$	−8.60043	+	10.6224i	−0.538580	+	0.665198i
$256$	−10.6667	+	7.74981i	−0.666669	+	0.484363i
$257$	10.0010	−	1.58401i	0.623846	−	0.0988076i	0.163495	−	0.986544i	$-0.447723\pi$
$257$	10.0010	−	1.58401i	0.623846	−	0.0988076i	0.460352	+	0.887737i	$0.347723\pi$
$258$	−0.817390	+	1.60422i	−0.0508885	+	0.0998743i
$259$	15.6391	+	48.1323i	0.971768	+	2.99079i
$260$	−3.19545	−	0.678952i	−0.198173	−	0.0421068i
$261$	−2.67678	−	3.68428i	−0.165689	−	0.228051i
$262$	0.309376	+	0.607185i	0.0191133	+	0.0375120i
$263$	−13.4431	+	13.4431i	−0.828936	+	0.828936i	−0.987370	−	0.158433i	$-0.949356\pi$
$263$	−13.4431	+	13.4431i	−0.828936	+	0.828936i	0.158433	+	0.987370i	$0.449356\pi$
$264$	2.29456	−	0.992522i	0.141220	−	0.0610855i
$265$	−4.05338	+	1.80506i	−0.248997	+	0.110884i
$266$	1.84287	+	0.598786i	0.112994	+	0.0367139i
$267$	−1.90178	+	12.0074i	−0.116387	+	0.734838i
$268$	−0.727871	−	4.59560i	−0.0444618	−	0.280721i
$269$	7.88581	−	2.56225i	0.480806	−	0.156223i	−0.0585787	−	0.998283i	$-0.518657\pi$
$269$	7.88581	−	2.56225i	0.480806	−	0.156223i	0.539385	+	0.842059i	$0.318657\pi$
$270$	0.424642	+	0.0222211i	0.0258429	+	0.00135233i
$271$	−9.98575	+	13.7442i	−0.606591	+	0.834901i	−0.996292	−	0.0860405i	$-0.972579\pi$
$271$	−9.98575	+	13.7442i	−0.606591	+	0.834901i	0.389700	+	0.920942i	$0.372579\pi$
$272$	−22.8462	−	3.61849i	−1.38526	−	0.219403i
$273$	2.93316	−	1.49452i	0.177523	−	0.0904523i
$274$	1.41521			0.0854959
$275$	9.60632	+	13.5173i	0.579283	+	0.815127i
$276$	−3.00982			−0.181170
$277$	−0.985295	+	0.502033i	−0.0592006	+	0.0301642i	−0.483340	−	0.875433i	$-0.660577\pi$
$277$	−0.985295	+	0.502033i	−0.0592006	+	0.0301642i	0.424140	+	0.905597i	$0.360577\pi$
$278$	−0.383662	−	0.0607661i	−0.0230105	−	0.00364451i
$279$	−3.49552	+	4.81117i	−0.209271	+	0.288037i
$280$	−7.44840	−	0.389768i	−0.445127	−	0.0232931i
$281$	4.97129	−	1.61527i	0.296562	−	0.0963590i	−0.156957	−	0.987605i	$-0.550168\pi$
$281$	4.97129	−	1.61527i	0.296562	−	0.0963590i	0.453519	+	0.891246i	$0.350168\pi$
$282$	−0.0851281	−	0.537478i	−0.00506931	−	0.0320063i
$283$	0.113868	−	0.718933i	0.00676873	−	0.0427361i	−0.984073	−	0.177766i	$-0.943113\pi$
$283$	0.113868	−	0.718933i	0.00676873	−	0.0427361i	0.990842	+	0.135030i	$0.0431130\pi$
$284$	−24.4645	−	7.94899i	−1.45170	−	0.471686i
$285$	4.70363	−	2.09463i	0.278619	−	0.124075i
$286$	0.0440831	+	0.467125i	0.00260669	+	0.0276217i
$287$	15.3251	−	15.3251i	0.904610	−	0.904610i
$288$	1.01114	+	1.98447i	0.0595818	+	0.116936i
$289$	−11.9675	−	16.4719i	−0.703973	−	0.968935i
$290$	−1.89419	−	0.402467i	−0.111231	−	0.0236337i
$291$	−2.15623	−	6.63619i	−0.126400	−	0.389020i
$292$	−5.76774	+	11.3198i	−0.337531	+	0.662442i
$293$	21.9777	−	3.48092i	1.28395	−	0.203358i	0.523092	−	0.852276i	$-0.324779\pi$
$293$	21.9777	−	3.48092i	1.28395	−	0.203358i	0.760858	+	0.648919i	$0.224779\pi$
$294$	1.93564	−	1.40633i	0.112889	−	0.0820187i
$295$	−9.00254	+	11.1190i	−0.524148	+	0.647373i
$296$		−	8.62092i		−	0.501081i
$297$	0.824312	+	3.21255i	0.0478314	+	0.186411i
$298$	2.05998	+	2.05998i	0.119331	+	0.119331i
$299$	0.352328	−	1.08436i	0.0203757	−	0.0627099i
$300$	−7.62997	+	6.18061i	−0.440517	+	0.356838i
$301$	33.8948	+	24.6260i	1.95366	+	1.41942i
$302$	3.80302	+	1.93774i	0.218839	+	0.111504i
$303$	−11.4317	−	5.82472i	−0.656732	−	0.334622i
$304$	7.04985	+	5.12201i	0.404336	+	0.293768i
$305$	7.53076	−	2.01850i	0.431210	−	0.115579i
$306$	−0.359186	+	1.10546i	−0.0205333	+	0.0631951i
$307$	−14.7837	−	14.7837i	−0.843751	−	0.843751i	0.145593	−	0.989345i	$-0.453491\pi$
$307$	−14.7837	−	14.7837i	−0.843751	−	0.843751i	−0.989345	+	0.145593i	$0.953491\pi$
$308$	−7.16343	−	27.9177i	−0.408175	−	1.59076i
$309$		−	3.27504i		−	0.186310i
$310$	0.264526	+	2.51490i	0.0150241	+	0.142837i
$311$	7.12179	−	5.17429i	0.403840	−	0.293407i	−0.367263	−	0.930117i	$-0.619705\pi$
$311$	7.12179	−	5.17429i	0.403840	−	0.293407i	0.771103	+	0.636710i	$0.219705\pi$
$312$	−0.553857	+	0.0877223i	−0.0313560	+	0.00496630i
$313$	14.7025	−	28.8552i	0.831033	−	1.63099i	0.0565500	−	0.998400i	$-0.481990\pi$
$313$	14.7025	−	28.8552i	0.831033	−	1.63099i	0.774483	−	0.632595i	$-0.218010\pi$
$314$	−0.000829215	−	0.00255206i	−4.67953e−5	−	0.000144021i
$315$	2.05649	−	9.67878i	0.115870	−	0.545338i
$316$	2.55091	+	3.51102i	0.143500	+	0.197510i
$317$	11.5550	+	22.6779i	0.648992	+	1.27372i	0.947635	+	0.319354i	$0.103466\pi$
$317$	11.5550	+	22.6779i	0.648992	+	1.27372i	−0.298643	+	0.954365i	$0.596534\pi$
$318$	−0.266829	+	0.266829i	−0.0149631	+	0.0149631i
$319$	−1.41907	−	15.0372i	−0.0794529	−	0.841919i
$320$	−14.9162	−	5.72446i	−0.833843	−	0.320007i
$321$	−1.52484	−	0.495452i	−0.0851084	−	0.0276534i
$322$	0.201755	−	1.27383i	0.0112433	−	0.0709877i
$323$	2.20177	+	13.9014i	0.122510	+	0.773495i
$324$	−1.86772	+	0.606859i	−0.103762	+	0.0337144i
$325$	−1.33354	−	3.47237i	−0.0739716	−	0.192612i
$326$	−0.507818	+	0.698951i	−0.0281254	+	0.0387113i
$327$	6.48312	+	1.02683i	0.358517	+	0.0567836i
$328$	−3.28944	+	1.67605i	−0.181629	+	0.0925445i
$329$	−12.6629			−0.698128
$330$	1.17461	+	0.780541i	0.0646603	+	0.0429674i
$331$	12.3019			0.676173			0.338086	−	0.941115i	$-0.390220\pi$
$331$	12.3019			0.676173			0.338086	+	0.941115i	$0.390220\pi$
$332$	11.2159	−	5.71481i	0.615555	−	0.313641i
$333$	11.2960	+	1.78912i	0.619019	+	0.0980429i
$334$	0.817554	−	1.12527i	0.0447346	−	0.0615719i
$335$	3.93681	−	3.54528i	0.215091	−	0.193699i
$336$	15.9265	−	5.17482i	0.868860	−	0.282310i
$337$	2.94573	+	18.5986i	0.160464	+	1.01313i	0.928123	+	0.372273i	$0.121422\pi$
$337$	2.94573	+	18.5986i	0.160464	+	1.01313i	−0.767659	+	0.640859i	$0.778578\pi$
$338$	−0.370266	+	2.33777i	−0.0201398	+	0.127158i
$339$	−4.31227	−	1.40114i	−0.234210	−	0.0760995i
$340$	−10.9191	−	24.5195i	−0.592170	−	1.32976i
$341$	−18.1028	+	7.83043i	−0.980320	+	0.424041i
$342$	0.309635	−	0.309635i	0.0167431	−	0.0167431i
$343$	−11.2132	−	22.0072i	−0.605457	−	1.18828i
$344$	−4.19486	−	5.77373i	−0.226172	−	0.311298i
$345$	−1.86673	−	2.87402i	−0.100501	−	0.154732i
$346$	−1.03773	−	3.19381i	−0.0557887	−	0.171700i
$347$	2.87896	−	5.65028i	0.154551	−	0.303323i	−0.800729	−	0.599027i	$-0.795554\pi$
$347$	2.87896	−	5.65028i	0.154551	−	0.303323i	0.955280	+	0.295704i	$0.0955542\pi$
$348$	8.83324	−	1.39905i	0.473511	−	0.0749968i
$349$	22.7730	−	16.5456i	1.21901	−	0.885664i	0.222995	−	0.974820i	$-0.428417\pi$
$349$	22.7730	−	16.5456i	1.21901	−	0.885664i	0.996018	+	0.0891551i	$0.0284167\pi$
$350$	−2.10433	−	3.64349i	−0.112481	−	0.194753i
$351$		−	0.743927i		−	0.0397079i
$352$	−0.464969	+	7.37220i	−0.0247829	+	0.392940i
$353$	−19.0832	−	19.0832i	−1.01570	−	1.01570i	−0.999875	−	0.0158237i	$-0.994963\pi$
$353$	−19.0832	−	19.0832i	−1.01570	−	1.01570i	−0.0158237	−	0.999875i	$-0.505037\pi$
$354$	−0.375980	+	1.15715i	−0.0199831	+	0.0615016i
$355$	−7.58286	−	28.2907i	−0.402456	−	1.50152i
$356$	−19.3148	−	14.0330i	−1.02368	−	0.743750i
$357$	24.0997	+	12.2794i	1.27549	+	0.649894i
$358$	0.800612	+	0.407932i	0.0423137	+	0.0215599i
$359$	−15.3144	−	11.1265i	−0.808261	−	0.587236i	0.105065	−	0.994465i	$-0.466495\pi$
$359$	−15.3144	−	11.1265i	−0.808261	−	0.587236i	−0.913326	+	0.407230i	$0.866495\pi$
$360$	−0.842643	+	1.45976i	−0.0444112	+	0.0769364i
$361$	−4.23282	+	13.0273i	−0.222780	+	0.685646i
$362$	2.68665	+	2.68665i	0.141207	+	0.141207i
$363$	−3.07218	+	10.5623i	−0.161248	+	0.554376i
$364$			6.46487i			0.338851i
$365$	−14.3863	+	1.51320i	−0.753013	+	0.0792047i
$366$	0.536425	−	0.389735i	0.0280394	−	0.0203718i
$367$	−19.5302	+	3.09327i	−1.01947	+	0.161467i	−0.643725	−	0.765257i	$-0.722612\pi$
$367$	−19.5302	+	3.09327i	−1.01947	+	0.161467i	−0.375741	+	0.926725i	$0.622612\pi$
$368$	2.63312	−	5.16779i	0.137261	−	0.269390i
$369$	−1.51348	−	4.65800i	−0.0787884	−	0.242486i
$370$	4.07842	−	2.64901i	0.212027	−	0.137716i
$371$	5.16131	+	7.10393i	0.267962	+	0.368818i
$372$	−5.30206	−	10.4059i	−0.274899	−	0.539520i
$373$	−16.0773	+	16.0773i	−0.832449	+	0.832449i	−0.987851	−	0.155402i	$-0.950333\pi$
$373$	−16.0773	+	16.0773i	−0.832449	+	0.832449i	0.155402	+	0.987851i	$0.450333\pi$
$374$	−2.89214	+	2.54896i	−0.149549	+	0.131804i
$375$	−10.6339	−	3.45241i	−0.549135	−	0.178282i
$376$	2.05146	+	0.666559i	0.105796	+	0.0343752i
$377$	−0.529977	+	3.34614i	−0.0272952	+	0.172335i
$378$	−0.131640	−	0.831143i	−0.00677084	−	0.0427494i
$379$	−16.0699	+	5.22143i	−0.825455	+	0.268207i	−0.691130	−	0.722731i	$-0.742887\pi$
$379$	−16.0699	+	5.22143i	−0.825455	+	0.268207i	−0.134325	+	0.990937i	$0.542887\pi$
$380$	−0.528412	+	10.0979i	−0.0271069	+	0.518010i
$381$	4.58018	−	6.30407i	0.234650	−	0.322968i
$382$	−1.19931	−	0.189952i	−0.0613621	−	0.00971880i
$383$	−18.6567	+	9.50605i	−0.953312	+	0.485736i	−0.860221	−	0.509921i	$-0.829675\pi$
$383$	−18.6567	+	9.50605i	−0.953312	+	0.485736i	−0.0930904	+	0.995658i	$0.529675\pi$
$384$	−5.81319			−0.296653
$385$	22.2152	−	24.1552i	1.13219	−	1.23106i
$386$	−0.531749			−0.0270653
$387$	8.43591	−	4.29831i	0.428821	−	0.218495i
$388$	13.5344	+	2.14363i	0.687103	+	0.108826i
$389$	−13.9705	+	19.2287i	−0.708331	+	0.974933i	0.291501	+	0.956571i	$0.405845\pi$
$389$	−13.9705	+	19.2287i	−0.708331	+	0.974933i	−0.999831	+	0.0183628i	$0.994155\pi$
$390$	−0.211688	−	0.235066i	−0.0107192	−	0.0119030i
$391$	8.90938	−	2.89483i	0.450567	−	0.146398i
$392$	1.48360	+	9.36707i	0.0749330	+	0.473108i
$393$	0.560584	−	3.53939i	0.0282777	−	0.178539i
$394$	0.802622	+	0.260788i	0.0404355	+	0.0131383i
$395$	−1.77050	+	4.61339i	−0.0890835	+	0.232125i
$396$	−6.35623	−	1.42182i	−0.319412	−	0.0714492i
$397$	14.2109	−	14.2109i	0.713224	−	0.713224i	−0.253984	−	0.967208i	$-0.581741\pi$
$397$	14.2109	−	14.2109i	0.713224	−	0.713224i	0.967208	+	0.253984i	$0.0817412\pi$
$398$	−1.48410	−	2.91271i	−0.0743913	−	0.146001i
$399$	−5.98930	−	8.24356i	−0.299840	−	0.412694i
$400$	−3.93694	−	18.5075i	−0.196847	−	0.925377i
$401$	8.89287	+	27.3694i	0.444089	+	1.36676i	0.883480	+	0.468469i	$0.155194\pi$
$401$	8.89287	+	27.3694i	0.444089	+	1.36676i	−0.439391	+	0.898296i	$0.644806\pi$
$402$	0.204548	−	0.401448i	0.0102019	−	0.0200224i
$403$	4.36961	−	0.692078i	0.217666	−	0.0344749i
$404$	20.3841	−	14.8099i	1.01415	−	0.736821i
$405$	−1.73786	−	1.40707i	−0.0863550	−	0.0699177i
$406$			3.83222i			0.190190i
$407$	29.2231	+	24.1831i	1.44854	+	1.19871i
$408$	−3.25790	−	3.25790i	−0.161290	−	0.161290i
$409$	−2.37486	+	7.30906i	−0.117429	+	0.361410i	−0.992446	−	0.122683i	$-0.960850\pi$
$409$	−2.37486	+	7.30906i	−0.117429	+	0.361410i	0.875017	+	0.484093i	$0.160850\pi$
$410$	−1.80368	−	1.04117i	−0.0890776	−	0.0514196i
$411$	−6.02069	−	4.37429i	−0.296979	−	0.215768i
$412$	5.73063	+	2.91990i	0.282328	+	0.143853i
$413$	25.2264	+	12.8535i	1.24131	+	0.632479i
$414$	−0.235790	−	0.171311i	−0.0115884	−	0.00841949i
$415$	12.4132	+	7.16548i	0.609341	+	0.351740i
$416$	0.512007	−	1.57579i	0.0251032	−	0.0772597i
$417$	1.44438	+	1.44438i	0.0707318	+	0.0707318i
$418$	1.40675	−	0.360958i	0.0688061	−	0.0176550i
$419$			27.9317i			1.36455i	0.731095	+	0.682276i	$0.239010\pi$
$419$			27.9317i			1.36455i	−0.731095	+	0.682276i	$0.760990\pi$
$420$	15.1024	+	12.2277i	0.736920	+	0.596650i
$421$	−0.946780	+	0.687876i	−0.0461432	+	0.0335250i	−0.610618	−	0.791925i	$-0.709079\pi$
$421$	−0.946780	+	0.687876i	−0.0461432	+	0.0335250i	0.564475	+	0.825450i	$0.309079\pi$
$422$	0.922753	−	0.146150i	0.0449189	−	0.00711446i
$423$	−1.29914	+	2.54970i	−0.0631663	+	0.123971i
$424$	−0.462218	−	1.42256i	−0.0224473	−	0.0690857i
$425$	16.6410	−	25.6337i	0.807207	−	1.24342i
$426$	−1.46411	−	2.01518i	−0.0709365	−	0.0976358i
$427$	−7.00471	−	13.7475i	−0.338982	−	0.665289i
$428$	2.22643	−	2.22643i	0.107619	−	0.107619i
$429$	1.25630	−	2.12354i	0.0606548	−	0.102525i
$430$	1.44247	−	3.75866i	0.0695623	−	0.181258i
$431$	18.1172	+	5.88663i	0.872674	+	0.283549i	0.710912	−	0.703281i	$-0.248282\pi$
$431$	18.1172	+	5.88663i	0.872674	+	0.283549i	0.161762	+	0.986830i	$0.448282\pi$
$432$	0.592000	−	3.73774i	0.0284826	−	0.179832i
$433$	0.271485	+	1.71409i	0.0130467	+	0.0823739i	0.993353	−	0.115111i	$-0.0367225\pi$
$433$	0.271485	+	1.71409i	0.0130467	+	0.0823739i	−0.980306	+	0.197485i	$0.936723\pi$
$434$	4.75943	−	1.54643i	0.228460	−	0.0742312i
$435$	6.81441	+	7.56698i	0.326726	+	0.362809i
$436$	−7.57684	+	10.4286i	−0.362865	+	0.499441i
$437$	−3.48569	−	0.552078i	−0.166743	−	0.0264095i
$438$	−1.09614	+	0.558511i	−0.0523756	+	0.0266867i
$439$	−22.8382			−1.09001			−0.545003	−	0.838434i	$-0.683472\pi$
$439$	−22.8382			−1.09001			−0.545003	+	0.838434i	$0.683472\pi$
$440$	−4.87049	+	2.74389i	−0.232191	+	0.130810i
$441$	−12.5816			−0.599124
$442$	0.770457	−	0.392568i	0.0366469	−	0.0186725i
$443$	−15.9876	−	2.53219i	−0.759593	−	0.120308i	−0.235390	−	0.971901i	$-0.575637\pi$
$443$	−15.9876	−	2.53219i	−0.759593	−	0.120308i	−0.524203	+	0.851593i	$0.675637\pi$
$444$	−13.2017	+	18.1706i	−0.626525	+	0.862338i
$445$	1.42057	−	27.1468i	0.0673413	−	1.28688i
$446$	−1.33089	+	0.432432i	−0.0630194	+	0.0204763i
$447$	−2.39651	−	15.1309i	−0.113351	−	0.715669i
$448$	−4.94614	+	31.2287i	−0.233683	+	1.47542i
$449$	2.29224	+	0.744794i	0.108178	+	0.0351490i	0.362606	−	0.931943i	$-0.381887\pi$
$449$	2.29224	+	0.744794i	0.108178	+	0.0351490i	−0.254428	+	0.967092i	$0.581887\pi$
$450$	−0.949517	+	0.0499116i	−0.0447606	+	0.00235286i
$451$	3.54595	−	15.8521i	0.166972	−	0.746447i
$452$	6.29637	−	6.29637i	0.296156	−	0.296156i
$453$	−10.1897	−	19.9985i	−0.478756	−	0.939611i
$454$	2.86051	+	3.93716i	0.134251	+	0.184780i
$455$	−6.17317	+	4.00960i	−0.289403	+	0.187973i
$456$	0.536368	+	1.65077i	0.0251177	+	0.0773045i
$457$	−5.12436	+	10.0571i	−0.239708	+	0.470453i	−0.979250	−	0.202658i	$-0.935042\pi$
$457$	−5.12436	+	10.0571i	−0.239708	+	0.470453i	0.739542	+	0.673110i	$0.235042\pi$
$458$	2.58087	−	0.408769i	0.120596	−	0.0191005i
$459$	4.94497	−	3.59273i	0.230811	−	0.167694i
$460$	6.69324	−	0.704019i	0.312074	−	0.0328251i
$461$		−	29.7449i		−	1.38536i	−0.721246	−	0.692679i	$-0.756430\pi$
$461$		−	29.7449i		−	1.38536i	0.721246	−	0.692679i	$-0.243570\pi$
$462$	1.02782	−	2.59480i	0.0478185	−	0.120721i
$463$	5.66807	+	5.66807i	0.263418	+	0.263418i	0.826441	−	0.563023i	$-0.190362\pi$
$463$	5.66807	+	5.66807i	0.263418	+	0.263418i	−0.563023	+	0.826441i	$0.690362\pi$
$464$	−5.32557	+	16.3904i	−0.247233	+	0.760906i
$465$	6.64797	−	11.5167i	0.308292	−	0.534074i
$466$	−2.19790	−	1.59687i	−0.101816	−	0.0739735i
$467$	−1.24715	−	0.635455i	−0.0577112	−	0.0294053i	0.424897	−	0.905242i	$-0.360310\pi$
$467$	−1.24715	−	0.635455i	−0.0577112	−	0.0294053i	−0.482608	+	0.875836i	$0.660310\pi$
$468$	1.30172	+	0.663258i	0.0601719	+	0.0306591i
$469$	−8.48201	−	6.16254i	−0.391663	−	0.284560i
$470$	0.315028	+	1.17533i	0.0145312	+	0.0542140i
$471$	−0.00436049	+	0.0134202i	−0.000200921	+	0.000618371i
$472$	−3.41022	−	3.41022i	−0.156968	−	0.156968i
$473$	31.3390	+	1.97657i	1.44097	+	0.0908827i
$474$			0.420245i			0.0193025i
$475$	−9.96998	+	5.75826i	−0.457454	+	0.264207i
$476$	−42.9727	+	31.2215i	−1.96965	+	1.43104i
$477$	1.95991	−	0.310420i	0.0897383	−	0.0142131i
$478$	−2.21529	+	4.34776i	−0.101325	+	0.198862i
$479$	12.2568	+	37.7227i	0.560029	+	1.72359i	0.682277	+	0.731093i	$0.260990\pi$
$479$	12.2568	+	37.7227i	0.560029	+	1.72359i	−0.122248	+	0.992500i	$0.539010\pi$
$480$	−2.71275	−	4.17655i	−0.123819	−	0.190632i
$481$	−5.00098	−	6.88325i	−0.228025	−	0.313849i
$482$	−1.39660	−	2.74097i	−0.0636132	−	0.124848i
$483$	−4.79562	+	4.79562i	−0.218208	+	0.218208i
$484$	−15.7427	−	14.7926i	−0.715579	−	0.672392i
$485$	6.34727	+	14.2532i	0.288215	+	0.647204i
$486$	−0.180858	−	0.0587644i	−0.00820389	−	0.00266561i
$487$	−2.27578	+	14.3687i	−0.103126	+	0.651109i	0.880930	+	0.473247i	$0.156918\pi$
$487$	−2.27578	+	14.3687i	−0.103126	+	0.651109i	−0.984055	+	0.177862i	$0.943082\pi$
$488$	0.411149	+	2.59589i	0.0186118	+	0.117511i
$489$	4.32080	−	1.40391i	0.195393	−	0.0634871i
$490$	−3.97554	+	3.58015i	−0.179596	+	0.161735i
$491$	−6.25410	+	8.60803i	−0.282244	+	0.388475i	−0.926475	−	0.376355i	$-0.877177\pi$
$491$	−6.25410	+	8.60803i	−0.282244	+	0.388475i	0.644232	+	0.764830i	$0.277177\pi$
$492$	9.49989	+	1.50464i	0.428288	+	0.0678342i
$493$	−24.8017	+	12.6371i	−1.11701	+	0.569146i
$494$	−0.325758			−0.0146565
$495$	−2.58455	−	6.95127i	−0.116167	−	0.312436i
$496$	22.5051			1.01051
$497$	−51.6451	+	26.3145i	−2.31660	+	1.18037i
$498$	1.20393	+	0.190684i	0.0539494	+	0.00854474i
$499$	−7.53307	+	10.3684i	−0.337226	+	0.464152i	−0.943629	−	0.331006i	$-0.892612\pi$
$499$	−7.53307	+	10.3684i	−0.337226	+	0.464152i	0.606402	+	0.795158i	$0.292612\pi$
$500$	15.5218	−	15.5292i	0.694158	−	0.694485i
$501$	−6.95620	+	2.26021i	−0.310780	+	0.100979i
$502$	0.445504	+	2.81280i	0.0198838	+	0.125542i
$503$	4.96126	−	31.3242i	0.221212	−	1.39668i	−0.587859	−	0.808964i	$-0.700029\pi$
$503$	4.96126	−	31.3242i	0.221212	−	1.39668i	0.809070	−	0.587712i	$-0.199971\pi$
$504$	3.17233	+	1.03075i	0.141307	+	0.0459133i
$505$	26.7842	+	10.2791i	1.19188	+	0.457413i
$506$	−0.383760	−	0.887195i	−0.0170602	−	0.0394406i
$507$	8.80106	−	8.80106i	0.390869	−	0.390869i
$508$	6.94730	+	13.6348i	0.308237	+	0.604948i
$509$	13.1400	+	18.0856i	0.582419	+	0.801631i	0.993958	−	0.109761i	$-0.0350086\pi$
$509$	13.1400	+	18.0856i	0.582419	+	0.801631i	−0.411539	+	0.911392i	$0.635009\pi$
$510$	0.540183	−	2.54234i	0.0239197	−	0.112577i
$511$	8.84626	+	27.2260i	0.391336	+	1.20441i
$512$	6.41656	−	12.5932i	0.283574	−	0.556546i
$513$	−2.27433	+	0.360218i	−0.100414	+	0.0159040i
$514$	−1.55781	+	1.13181i	−0.0687119	+	0.0499221i
$515$	0.766055	+	7.28303i	0.0337564	+	0.320929i
$516$			18.5933i			0.818524i
$517$	−8.01418	+	5.08421i	−0.352463	+	0.223603i
$518$	−6.80530	−	6.80530i	−0.299007	−	0.299007i
$519$	−5.45699	+	16.7949i	−0.239535	+	0.737213i
$520$	1.21115	−	0.324628i	0.0531124	−	0.0142359i
$521$	−11.9897	−	8.71104i	−0.525279	−	0.381638i	0.293310	−	0.956017i	$-0.405243\pi$
$521$	−11.9897	−	8.71104i	−0.525279	−	0.381638i	−0.818589	+	0.574380i	$0.805243\pi$
$522$	0.771627	+	0.393163i	0.0337732	+	0.0172083i
$523$	15.4615	+	7.87801i	0.676083	+	0.344482i	0.758090	−	0.652150i	$-0.226133\pi$
$523$	15.4615	+	7.87801i	0.676083	+	0.344482i	−0.0820067	+	0.996632i	$0.526133\pi$
$524$	5.69340	+	4.13649i	0.248717	+	0.180704i
$525$	−2.30929	+	22.0047i	−0.100786	+	0.960364i
$526$	1.11719	−	3.43837i	0.0487119	−	0.149920i
$527$	25.7030	+	25.7030i	1.11964	+	1.11964i
$528$	8.00194	−	9.66963i	0.348240	−	0.420816i
$529$		−	20.6511i		−	0.897873i
$530$	0.530962	−	0.655789i	0.0230635	−	0.0284856i
$531$	5.17616	−	3.76070i	0.224626	−	0.163201i
$532$	19.7644	−	3.13037i	0.856893	−	0.135719i
$533$	−1.65413	+	3.24642i	−0.0716484	+	0.140618i
$534$	−0.714400	−	2.19870i	−0.0309151	−	0.0951470i
$535$	3.50684	+	0.745113i	0.151614	+	0.0322141i
$536$	1.04974	+	1.44485i	0.0453420	+	0.0624079i
$537$	−2.14514	−	4.21008i	−0.0925697	−	0.181678i
$538$	−1.11495	+	1.11495i	−0.0480690	+	0.0480690i
$539$	−35.9141	−	21.2471i	−1.54693	−	0.915177i
$540$	4.01149	−	1.78641i	0.172627	−	0.0768747i
$541$	13.1946	+	4.28720i	0.567282	+	0.184321i	0.578595	−	0.815615i	$-0.303601\pi$
$541$	13.1946	+	4.28720i	0.567282	+	0.184321i	−0.0113134	+	0.999936i	$0.503601\pi$
$542$	0.505390	−	3.19090i	0.0217083	−	0.137061i
$543$	−3.12555	−	19.7340i	−0.134130	−	0.846866i
$544$	12.9472	−	4.20679i	0.555106	−	0.180365i
$545$	−14.6573	−	0.767005i	−0.627852	−	0.0328549i
$546$	−0.367963	+	0.506458i	−0.0157474	+	0.0216744i
$547$	−2.83177	−	0.448508i	−0.121078	−	0.0191768i	0.0956015	−	0.995420i	$-0.469523\pi$
$547$	−2.83177	−	0.448508i	−0.121078	−	0.0191768i	−0.216679	+	0.976243i	$0.569523\pi$
$548$	13.0219	−	6.63500i	0.556269	−	0.283433i
$549$	−3.48674			−0.148810
$550$	−2.79468	−	1.46102i	−0.119166	−	0.0622980i
$551$	10.4864			0.446737
$552$	1.02935	−	0.524481i	0.0438121	−	0.0223234i
$553$	9.65861	+	1.52977i	0.410726	+	0.0650526i
$554$	0.123605	−	0.170128i	0.00525147	−	0.00722803i
$555$	−25.5386	−	1.33641i	−1.08405	−	0.0567275i
$556$	−3.81513	+	1.23961i	−0.161798	+	0.0525712i
$557$	2.25969	+	14.2671i	0.0957462	+	0.604518i	0.988175	+	0.153330i	$0.0489997\pi$
$557$	2.25969	+	14.2671i	0.0957462	+	0.604518i	−0.892429	+	0.451188i	$0.851000\pi$
$558$	0.176912	−	1.11698i	0.00748928	−	0.0472854i
$559$	−6.69865	−	2.17652i	−0.283323	−	0.0920571i
$560$	−34.2069	+	15.2331i	−1.44550	+	0.643716i
$561$	20.1826	−	1.90465i	0.852109	−	0.0804145i
$562$	−0.702878	+	0.702878i	−0.0296491	+	0.0296491i
$563$	2.90103	+	5.69360i	0.122264	+	0.239957i	0.944024	−	0.329878i	$-0.107007\pi$
$563$	2.90103	+	5.69360i	0.122264	+	0.239957i	−0.821760	+	0.569834i	$0.807007\pi$
$564$	−3.30319	−	4.54644i	−0.139089	−	0.191440i
$565$	9.91736	+	2.10719i	0.417227	+	0.0886500i
$566$	0.0427742	+	0.131646i	0.00179794	+	0.00553348i
$567$	−2.00896	+	3.94280i	−0.0843683	+	0.165582i
$568$	9.75196	−	1.54456i	0.409183	−	0.0648082i
$569$	−13.8960	+	10.0961i	−0.582552	+	0.423249i	−0.839643	−	0.543138i	$-0.817236\pi$
$569$	−13.8960	+	10.0961i	−0.582552	+	0.423249i	0.257091	+	0.966387i	$0.417236\pi$
$570$	−0.616140	+	0.760992i	−0.0258073	+	0.0318744i
$571$		−	29.9153i		−	1.25192i	−0.779857	−	0.625958i	$-0.784708\pi$
$571$		−	29.9153i		−	1.25192i	0.779857	−	0.625958i	$-0.215292\pi$
$572$	2.59567	+	4.09153i	0.108531	+	0.171076i
$573$	4.51508	+	4.51508i	0.188620	+	0.188620i
$574$	−1.27360	+	3.91972i	−0.0531589	+	0.163606i
$575$	4.82349	+	5.95460i	0.201153	+	0.248324i
$576$	5.78052	+	4.19980i	0.240855	+	0.174992i
$577$	−15.3915	−	7.84236i	−0.640757	−	0.326482i	0.103249	−	0.994656i	$-0.467076\pi$
$577$	−15.3915	−	7.84236i	−0.640757	−	0.326482i	−0.744005	+	0.668174i	$0.767076\pi$
$578$	3.44984	+	1.75778i	0.143494	+	0.0731140i
$579$	2.26221	+	1.64359i	0.0940141	+	0.0683052i
$580$	−19.3161	+	5.17736i	−0.802058	+	0.214978i
$581$	8.76508	−	26.9761i	0.363637	−	1.11916i
$582$	0.938273	+	0.938273i	0.0388927	+	0.0388927i
$583$	6.11878	+	2.42370i	0.253414	+	0.100379i
$584$		−	4.87642i		−	0.201788i
$585$	0.174010	+	1.65434i	0.00719443	+	0.0683987i
$586$	−3.42335	+	2.48721i	−0.141417	+	0.102746i
$587$	26.8858	−	4.25830i	1.10970	−	0.175759i	0.425431	−	0.904991i	$-0.360123\pi$
$587$	26.8858	−	4.25830i	1.10970	−	0.175759i	0.684266	+	0.729232i	$0.260123\pi$
$588$	11.2173	−	22.0152i	0.462594	−	0.907891i
$589$	−4.23163	−	13.0236i	−0.174361	−	0.536629i
$590$	0.565438	−	2.66121i	0.0232787	−	0.109560i
$591$	−2.60850	−	3.59030i	−0.107299	−	0.147685i
$592$	−19.6491	−	38.5635i	−0.807571	−	1.58495i
$593$	1.12865	−	1.12865i	0.0463483	−	0.0463483i	−0.683553	−	0.729901i	$-0.739566\pi$
$593$	1.12865	−	1.12865i	0.0463483	−	0.0463483i	0.729901	+	0.683553i	$0.239566\pi$
$594$	−0.417021	−	0.473166i	−0.0171106	−	0.0194142i
$595$	−56.4650	−	21.6698i	−2.31484	−	0.888376i
$596$	28.6126	+	9.29681i	1.17202	+	0.380812i
$597$	−2.68917	+	16.9787i	−0.110060	+	0.694893i
$598$	0.0339179	+	0.214150i	0.00138701	+	0.00875722i
$599$	−21.6535	+	7.03564i	−0.884738	+	0.287469i	−0.715923	−	0.698179i	$-0.753994\pi$
$599$	−21.6535	+	7.03564i	−0.884738	+	0.287469i	−0.168814	+	0.985648i	$0.553994\pi$
$600$	1.53242	−	3.44333i	0.0625608	−	0.140573i
$601$	7.97873	−	10.9818i	0.325459	−	0.447956i	−0.614665	−	0.788788i	$-0.710709\pi$
$601$	7.97873	−	10.9818i	0.325459	−	0.447956i	0.940124	+	0.340832i	$0.110709\pi$
$602$	−7.86913	−	1.24635i	−0.320722	−	0.0507973i
$603$	−2.11105	+	1.07563i	−0.0859684	+	0.0438031i
$604$	44.0780			1.79351
$605$	4.36133	−	24.2070i	0.177313	−	0.984154i
$606$	2.43983			0.0991115
$607$	−9.26190	+	4.71917i	−0.375929	+	0.191545i	−0.631738	−	0.775182i	$-0.717658\pi$
$607$	−9.26190	+	4.71917i	−0.375929	+	0.191545i	0.255809	+	0.966727i	$0.417658\pi$
$608$	−5.06543	−	0.802285i	−0.205430	−	0.0325369i
$609$	11.8451	−	16.3033i	0.479986	−	0.660644i
$610$	−1.10174	+	0.992167i	−0.0446081	+	0.0401717i
$611$	2.02463	−	0.657841i	0.0819077	−	0.0266134i
$612$	1.87778	+	11.8558i	0.0759046	+	0.479243i
$613$	2.12402	−	13.4105i	0.0857883	−	0.541646i	−0.906939	−	0.421262i	$-0.861587\pi$
$613$	2.12402	−	13.4105i	0.0857883	−	0.541646i	0.992727	−	0.120384i	$-0.0384127\pi$
$614$	3.78126	+	1.22861i	0.152599	+	0.0495825i
$615$	4.45521	+	10.0045i	0.179651	+	0.403418i
$616$	7.31472	+	8.29952i	0.294719	+	0.334397i
$617$	14.9503	−	14.9503i	0.601878	−	0.601878i	−0.338933	−	0.940811i	$-0.610066\pi$
$617$	14.9503	−	14.9503i	0.601878	−	0.601878i	0.940811	+	0.338933i	$0.110066\pi$
$618$	0.282745	+	0.554918i	0.0113737	+	0.0223221i
$619$	−19.3520	−	26.6357i	−0.777821	−	1.07058i	−0.995519	−	0.0945626i	$-0.969855\pi$
$619$	−19.3520	−	26.6357i	−0.777821	−	1.07058i	0.217698	−	0.976016i	$-0.430145\pi$
$620$	14.2247	+	21.9004i	0.571280	+	0.879542i
$621$	0.473606	+	1.45761i	0.0190052	+	0.0584919i
$622$	−0.759994	+	1.49157i	−0.0304730	+	0.0598066i
$623$	−53.1339	+	8.41558i	−2.12876	+	0.337163i
$624$	−2.27760	+	1.65477i	−0.0911768	+	0.0662438i
$625$	24.4553	+	5.19011i	0.978213	+	0.207604i
$626$			6.15851i			0.246143i
$627$	−7.10037	−	2.81251i	−0.283562	−	0.112321i
$628$	−0.0195949	−	0.0195949i	−0.000781922	−	0.000781922i
$629$	21.6020	−	66.4841i	0.861328	−	2.65090i
$630$	0.487152	+	1.81750i	0.0194086	+	0.0724111i
$631$	4.57313	+	3.32258i	0.182054	+	0.132270i	0.675080	−	0.737745i	$-0.264109\pi$
$631$	4.57313	+	3.32258i	0.182054	+	0.132270i	−0.493026	+	0.870015i	$0.664109\pi$
$632$	−1.48422	−	0.756249i	−0.0590392	−	0.0300820i
$633$	−4.37738	−	2.23039i	−0.173985	−	0.0886500i
$634$	−3.91572	−	2.84494i	−0.155513	−	0.112987i
$635$	−8.71083	+	15.0903i	−0.345679	+	0.598842i
$636$	−1.20422	+	3.70620i	−0.0477503	+	0.146960i
$637$	6.61837	+	6.61837i	0.262229	+	0.262229i
$638$	1.53865	+	2.42536i	0.0609159	+	0.0960210i
$639$			13.0986i			0.518172i
$640$	12.9274	−	1.35975i	0.511000	−	0.0537488i
$641$	−15.4964	+	11.2588i	−0.612069	+	0.444695i	−0.850142	−	0.526553i	$-0.823484\pi$
$641$	−15.4964	+	11.2588i	−0.612069	+	0.444695i	0.238073	+	0.971247i	$0.423484\pi$
$642$	0.301141	−	0.0476961i	0.0118851	−	0.00188242i
$643$	4.93502	−	9.68552i	0.194618	−	0.381960i	−0.772989	−	0.634419i	$-0.781239\pi$
$643$	4.93502	−	9.68552i	0.194618	−	0.381960i	0.967607	+	0.252459i	$0.0812394\pi$
$644$	−4.11573	−	12.6669i	−0.162183	−	0.499147i
$645$	−17.7544	+	11.5318i	−0.699077	+	0.454064i
$646$	−1.57322	−	2.16535i	−0.0618975	−	0.0851946i
$647$	−6.97259	−	13.6845i	−0.274121	−	0.537992i	0.712371	−	0.701803i	$-0.247621\pi$
$647$	−6.97259	−	13.6845i	−0.274121	−	0.537992i	−0.986492	+	0.163811i	$0.947621\pi$
$648$	0.533007	−	0.533007i	0.0209385	−	0.0209385i
$649$	21.1262	−	1.99370i	0.829275	−	0.0782597i
$650$	0.525735	+	0.473224i	0.0206210	+	0.0185614i
$651$	−25.0278	−	8.13204i	−0.980918	−	0.318720i
$652$	−1.39571	+	8.81217i	−0.0546603	+	0.345111i
$653$	−7.28495	−	45.9954i	−0.285082	−	1.79994i	−0.549461	−	0.835520i	$-0.685167\pi$
$653$	−7.28495	−	45.9954i	−0.285082	−	1.79994i	0.264379	−	0.964419i	$-0.414833\pi$
$654$	−1.18714	+	0.385725i	−0.0464209	+	0.0150831i
$655$	−0.418738	+	8.00202i	−0.0163614	+	0.312665i
$656$	−10.8943	+	14.9948i	−0.425353	+	0.585448i
$657$	6.38959	+	1.01201i	0.249282	+	0.0394823i
$658$	2.14558	−	1.09323i	0.0836436	−	0.0426185i
$659$	29.7821			1.16015			0.580074	−	0.814564i	$-0.303024\pi$
$659$	29.7821			1.16015			0.580074	+	0.814564i	$0.303024\pi$
$660$	14.4676	+	1.67508i	0.563149	+	0.0652024i
$661$	−36.1689			−1.40681			−0.703404	−	0.710790i	$-0.748337\pi$
$661$	−36.1689			−1.40681			−0.703404	+	0.710790i	$0.748337\pi$
$662$	−2.08442	+	1.06206i	−0.0810131	+	0.0412782i
$663$	−4.49113	−	0.711325i	−0.174421	−	0.0276256i
$664$	−2.83998	+	3.90890i	−0.110213	+	0.151695i
$665$	15.2472	+	16.9311i	0.591262	+	0.656560i
$666$	−2.06845	+	0.672079i	−0.0801506	+	0.0260425i
$667$	−1.09185	−	6.89366i	−0.0422765	−	0.266924i
$668$	2.24700	−	14.1870i	0.0869392	−	0.548913i
$669$	6.99858	+	2.27398i	0.270581	+	0.0879170i
$670$	−0.360972	+	0.940586i	−0.0139456	+	0.0363380i
$671$	−9.95288	−	5.88820i	−0.384227	−	0.227312i
$672$	−6.96903	+	6.96903i	−0.268836	+	0.268836i
$673$	6.18092	+	12.1307i	0.238257	+	0.467606i	0.978913	−	0.204279i	$-0.0654850\pi$
$673$	6.18092	+	12.1307i	0.238257	+	0.467606i	−0.740656	+	0.671885i	$0.765485\pi$
$674$	−2.10480	−	2.89701i	−0.0810740	−	0.111589i
$675$	4.19378	+	2.72254i	0.161419	+	0.104790i
$676$	7.55332	+	23.2467i	0.290512	+	0.894104i
$677$	8.71895	−	17.1119i	0.335096	−	0.657664i	−0.660559	−	0.750774i	$-0.729681\pi$
$677$	8.71895	−	17.1119i	0.335096	−	0.657664i	0.995656	+	0.0931100i	$0.0296808\pi$
$678$	0.851631	−	0.134885i	0.0327067	−	0.00518023i
$679$	24.9801	−	18.1491i	0.958648	−	0.696499i
$680$	8.00698	+	6.48288i	0.307053	+	0.248607i
$681$		−	25.5914i		−	0.980664i
$682$	2.39128	−	2.88965i	0.0915669	−	0.110650i
$683$	33.9002	+	33.9002i	1.29716	+	1.29716i	0.930263	+	0.366893i	$0.119579\pi$
$683$	33.9002	+	33.9002i	1.29716	+	1.29716i	0.366893	+	0.930263i	$0.380421\pi$
$684$	1.39740	−	4.30076i	0.0534309	−	0.164444i
$685$	14.4120	+	8.31926i	0.550654	+	0.317862i
$686$	3.79991	+	2.76079i	0.145081	+	0.105408i
$687$	−12.2432	−	6.23822i	−0.467107	−	0.238003i
$688$	−31.9243	−	16.2662i	−1.21710	−	0.620144i
$689$	−1.19428	−	0.867692i	−0.0454983	−	0.0330564i
$690$	0.564420	+	0.325809i	0.0214871	+	0.0124033i
$691$	−8.49128	+	26.1335i	−0.323024	+	0.994165i	0.649301	+	0.760531i	$0.275061\pi$
$691$	−8.49128	+	26.1335i	−0.323024	+	0.994165i	−0.972325	+	0.233633i	$0.924939\pi$
$692$	−24.5223	−	24.5223i	−0.932197	−	0.932197i
$693$	−12.3929	+	7.86210i	−0.470769	+	0.298657i
$694$			1.20593i			0.0457764i
$695$	−3.54987	−	2.87417i	−0.134654	−	0.109023i
$696$	−2.77715	+	2.01772i	−0.105268	+	0.0764815i
$697$	−29.5678	+	4.68308i	−1.11996	+	0.177384i
$698$	−2.43020	+	4.76953i	−0.0919844	+	0.180530i
$699$	4.41470	+	13.5870i	0.166979	+	0.513909i
$700$	−36.4448	−	23.6594i	−1.37748	−	0.894240i
$701$	−23.2406	−	31.9879i	−0.877786	−	1.20817i	−0.977029	−	0.213105i	$-0.931642\pi$
$701$	−23.2406	−	31.9879i	−0.877786	−	1.20817i	0.0992437	−	0.995063i	$-0.468358\pi$
$702$	0.0642257	+	0.126050i	0.00242404	+	0.00475745i
$703$	−18.6219	+	18.6219i	−0.702338	+	0.702338i
$704$	9.40811	+	21.7501i	0.354581	+	0.819738i
$705$	2.29263	−	5.97391i	0.0863455	−	0.224990i
$706$	4.88096	+	1.58592i	0.183697	+	0.0596869i
$707$	8.88148	−	56.0754i	0.334022	−	2.10893i
$708$	1.96557	+	12.4101i	0.0738706	+	0.466400i
$709$	−4.44119	+	1.44303i	−0.166792	+	0.0541941i	−0.391223	−	0.920296i	$-0.627948\pi$
$709$	−4.44119	+	1.44303i	−0.166792	+	0.0541941i	0.224430	+	0.974490i	$0.427948\pi$
$710$	3.72726	+	4.13889i	0.139882	+	0.155330i
$711$	1.29894	−	1.78784i	0.0487140	−	0.0670491i
$712$	9.05097	+	1.43353i	0.339199	+	0.0537239i
$713$	−8.12099	+	4.13785i	−0.304133	+	0.154964i
$714$	−5.14353			−0.192492
$715$	−2.29705	+	5.01618i	−0.0859048	+	0.187594i
$716$	9.27929			0.346783
$717$	22.8630	−	11.6493i	0.853835	−	0.435051i
$718$	3.55543	+	0.563125i	0.132688	+	0.0210157i
$719$	−4.83861	+	6.65977i	−0.180450	+	0.248368i	−0.889654	−	0.456635i	$-0.849054\pi$
$719$	−4.83861	+	6.65977i	−0.180450	+	0.248368i	0.709204	+	0.705003i	$0.249054\pi$
$720$	−0.442204	+	8.45046i	−0.0164800	+	0.314930i
$721$	13.7831	−	4.47840i	0.513309	−	0.166784i
$722$	−0.407485	−	2.57276i	−0.0151650	−	0.0957481i
$723$	−2.53061	+	15.9776i	−0.0941142	+	0.594214i
$724$	37.3170	+	12.1250i	1.38687	+	0.450623i
$725$	−16.9239	−	15.2335i	−0.628536	−	0.565758i
$726$	−0.391330	−	2.05489i	−0.0145236	−	0.0762641i
$727$	−28.8705	+	28.8705i	−1.07075	+	1.07075i	−0.0734487	+	0.997299i	$0.523401\pi$
$727$	−28.8705	+	28.8705i	−1.07075	+	1.07075i	−0.997299	+	0.0734487i	$0.976599\pi$
$728$	−1.12655	−	2.21097i	−0.0417525	−	0.0819440i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	2.30696	−	1.49841i	0.0853843	−	0.0554587i
$731$	−17.8829	−	55.0380i	−0.661425	−	2.03566i
$732$	3.10865	−	6.10107i	0.114899	−	0.225502i
$733$	32.4641	−	5.14182i	1.19909	−	0.189917i	0.475229	−	0.879862i	$-0.342365\pi$
$733$	32.4641	−	5.14182i	1.19909	−	0.189917i	0.723862	+	0.689945i	$0.242365\pi$
$734$	3.04211	−	2.21022i	0.112286	−	0.0815808i
$735$	27.9790	−	2.94293i	1.03202	−	0.108552i
$736$			3.41349i			0.125823i
$737$	−7.84244	−	0.494627i	−0.288880	−	0.0182198i
$738$	0.658582	+	0.658582i	0.0242428	+	0.0242428i
$739$	−0.756674	+	2.32880i	−0.0278347	+	0.0856664i	−0.964009	−	0.265870i	$-0.914341\pi$
$739$	−0.756674	+	2.32880i	−0.0278347	+	0.0856664i	0.936174	+	0.351537i	$0.114341\pi$
$740$	25.1077	−	43.4957i	0.922978	−	1.59894i
$741$	1.38586	+	1.00689i	0.0509110	+	0.0369890i
$742$	−1.48783	−	0.758088i	−0.0546200	−	0.0278303i
$743$	−37.2296	−	18.9695i	−1.36582	−	0.695922i	−0.391312	−	0.920258i	$-0.627979\pi$
$743$	−37.2296	−	18.9695i	−1.36582	−	0.695922i	−0.974512	+	0.224336i	$0.927979\pi$
$744$	3.62659	+	2.63487i	0.132957	+	0.0965990i
$745$	8.86859	+	33.0876i	0.324920	+	1.21224i
$746$	1.33611	−	4.11211i	0.0489183	−	0.150555i
$747$	−4.53247	−	4.53247i	−0.165834	−	0.165834i
$748$	−14.6613	+	37.0134i	−0.536070	+	1.35335i
$749$		−	7.09485i		−	0.259240i
$750$	2.09986	−	0.333092i	0.0766761	−	0.0121628i
$751$	22.6496	−	16.4559i	0.826494	−	0.600483i	−0.0920710	−	0.995752i	$-0.529349\pi$
$751$	22.6496	−	16.4559i	0.826494	−	0.600483i	0.918565	+	0.395269i	$0.129349\pi$
$752$	10.6959	−	1.69407i	0.390040	−	0.0617762i
$753$	6.79884	−	13.3435i	0.247763	−	0.486263i
$754$	−0.199085	−	0.612721i	−0.00725025	−	0.0223140i
$755$	27.3377	+	42.0892i	0.994922	+	1.53178i
$756$	−5.10797	−	7.03052i	−0.185775	−	0.255697i
$757$	1.37369	+	2.69602i	0.0499276	+	0.0979885i	0.914622	−	0.404309i	$-0.132488\pi$
$757$	1.37369	+	2.69602i	0.0499276	+	0.0979885i	−0.864695	+	0.502298i	$0.832488\pi$
$758$	2.27208	−	2.27208i	0.0825256	−	0.0825256i
$759$	−1.10962	+	4.96054i	−0.0402767	+	0.180056i
$760$	−1.57890	−	3.54553i	−0.0572728	−	0.128610i
$761$	37.8510	+	12.2985i	1.37210	+	0.445821i	0.900063	−	0.435760i	$-0.143520\pi$
$761$	37.8510	+	12.2985i	1.37210	+	0.445821i	0.472033	+	0.881581i	$0.343520\pi$
$762$	−0.231808	+	1.46358i	−0.00839751	+	0.0530198i
$763$	4.54382	+	28.6885i	0.164497	+	1.03859i
$764$	−11.9259	+	3.87497i	−0.431465	+	0.140191i
$765$	−10.1563	+	9.14617i	−0.367200	+	0.330681i
$766$	2.34047	−	3.22139i	0.0845648	−	0.116393i
$767$	−4.70111	−	0.744582i	−0.169747	−	0.0268853i
$768$	−11.7477	+	5.98576i	−0.423909	+	0.215993i
$769$	−3.06707			−0.110601			−0.0553006	−	0.998470i	$-0.517612\pi$
$769$	−3.06707			−0.110601			−0.0553006	+	0.998470i	$0.517612\pi$
$770$	−1.67872	+	6.01073i	−0.0604970	+	0.216612i
$771$	10.1257			0.364668
$772$	−4.89284	+	2.49303i	−0.176097	+	0.0897260i
$773$	9.08637	+	1.43914i	0.326814	+	0.0517622i	0.317686	−	0.948196i	$-0.397094\pi$
$773$	9.08637	+	1.43914i	0.326814	+	0.0517622i	0.00912826	+	0.999958i	$0.497094\pi$
$774$	−1.05828	+	1.45660i	−0.0380392	+	0.0523564i
$775$	−12.0899	+	27.1659i	−0.434282	+	0.975826i
$776$	−5.00226	+	1.62533i	−0.179571	+	0.0583460i
$777$	7.91704	+	49.9862i	0.284022	+	1.79324i
$778$	0.707060	−	4.46420i	0.0253493	−	0.160049i
$779$	10.7259	+	3.48505i	0.384294	+	0.124865i
$780$	−3.04990	−	1.17047i	−0.109204	−	0.0419096i
$781$	−22.1201	+	37.3899i	−0.791521	+	1.33791i
$782$	−1.25967	+	1.25967i	−0.0450458	+	0.0450458i
$783$	−2.06748	−	4.05766i	−0.0738857	−	0.145009i
$784$	27.9862	+	38.5197i	0.999507	+	1.37570i
$785$	0.00655777	−	0.0308638i	0.000234057	−	0.00110158i
$786$	0.210583	+	0.648106i	0.00751123	+	0.0231172i
$787$	16.9103	−	33.1883i	0.602787	−	1.18304i	−0.364939	−	0.931032i	$-0.618910\pi$
$787$	16.9103	−	33.1883i	0.602787	−	1.18304i	0.967726	−	0.252005i	$-0.0810899\pi$
$788$	8.60792	−	1.36336i	0.306644	−	0.0485677i
$789$	−15.3805	+	11.1746i	−0.547562	+	0.397827i
$790$	−0.0982983	−	0.934540i	−0.00349730	−	0.0332494i
$791$		−	20.0643i		−	0.713404i
$792$	2.42158	−	0.621354i	0.0860470	−	0.0220789i
$793$	1.83415	+	1.83415i	0.0651325	+	0.0651325i
$794$	−1.18100	+	3.63475i	−0.0419122	+	0.128992i
$795$	−4.28585	+	1.14875i	−0.152003	+	0.0407420i
$796$	−27.3117	−	19.8431i	−0.968037	−	0.703320i
$797$	−3.06743	−	1.56293i	−0.108654	−	0.0553619i	0.398819	−	0.917030i	$-0.369420\pi$
$797$	−3.06743	−	1.56293i	−0.108654	−	0.0553619i	−0.507473	+	0.861668i	$0.669420\pi$
$798$	1.72651	+	0.879702i	0.0611179	+	0.0311411i
$799$	14.1505	+	10.2809i	0.500609	+	0.363714i
$800$	7.00953	+	8.65327i	0.247824	+	0.305939i
$801$	−3.75673	+	11.5620i	−0.132738	+	0.408524i
$802$	−3.86969	−	3.86969i	−0.136644	−	0.136644i
$803$	16.5300	+	13.6792i	0.583332	+	0.482727i
$804$		−	4.65288i		−	0.164095i
$805$	9.54276	−	11.7862i	0.336338	−	0.415410i
$806$	−0.680632	+	0.494508i	−0.0239742	+	0.0174183i
$807$	8.18954	−	1.29710i	0.288286	−	0.0456599i
$808$	−4.39059	+	8.61702i	−0.154460	+	0.303146i
$809$	0.213947	+	0.658462i	0.00752199	+	0.0231503i	0.954747	−	0.297419i	$-0.0961258\pi$
$809$	0.213947	+	0.658462i	0.00752199	+	0.0231503i	−0.947225	+	0.320569i	$0.896126\pi$
$810$	0.415938	+	0.0883762i	0.0146146	+	0.00310522i
$811$	−7.02822	−	9.67351i	−0.246794	−	0.339683i	0.667591	−	0.744528i	$-0.267325\pi$
$811$	−7.02822	−	9.67351i	−0.246794	−	0.339683i	−0.914385	+	0.404845i	$0.867325\pi$
$812$	17.9668	+	35.2618i	0.630511	+	1.23745i
$813$	−12.0129	+	12.0129i	−0.421310	+	0.421310i
$814$	−7.03934	−	1.57463i	−0.246729	−	0.0551906i
$815$	−9.28020	+	4.13269i	−0.325071	+	0.144762i
$816$	−21.9989	−	7.14788i	−0.770116	−	0.250226i
$817$	−3.41049	+	21.5330i	−0.119318	+	0.753343i
$818$	−0.228623	−	1.44347i	−0.00799361	−	0.0504696i
$819$	3.13084	−	1.01727i	0.109400	−	0.0355463i
$820$	−21.4778	−	1.12391i	−0.750038	−	0.0392487i
$821$	10.7173	−	14.7511i	0.374038	−	0.514819i	−0.579955	−	0.814648i	$-0.696930\pi$
$821$	10.7173	−	14.7511i	0.374038	−	0.514819i	0.953993	+	0.299830i	$0.0969299\pi$
$822$	1.39778	+	0.221387i	0.0487533	+	0.00772177i
$823$	12.7010	−	6.47150i	0.442730	−	0.225582i	−0.218391	−	0.975861i	$-0.570081\pi$
$823$	12.7010	−	6.47150i	0.442730	−	0.225582i	0.661121	+	0.750279i	$0.270081\pi$
$824$	−2.46867			−0.0860003
$825$	7.37347	+	14.8537i	0.256711	+	0.517139i
$826$	−5.38401			−0.187334
$827$	−35.7734	+	18.2275i	−1.24396	+	0.633831i	−0.947054	−	0.321075i	$-0.895956\pi$
$827$	−35.7734	+	18.2275i	−1.24396	+	0.633831i	−0.296909	+	0.954906i	$0.595956\pi$
$828$	−2.97277	−	0.470840i	−0.103311	−	0.0163628i
$829$	−8.70895	+	11.9868i	−0.302474	+	0.416320i	−0.933016	−	0.359835i	$-0.882833\pi$
$829$	−8.70895	+	11.9868i	−0.302474	+	0.416320i	0.630542	+	0.776155i	$0.282833\pi$
$830$	−2.72190	−	0.142434i	−0.0944786	−	0.00494397i
$831$	−1.05170	+	0.341718i	−0.0364831	+	0.0118541i
$832$	−0.831519	−	5.25000i	−0.0288277	−	0.182011i
$833$	−12.0302	+	75.9559i	−0.416823	+	2.63172i
$834$	−0.369433	−	0.120036i	−0.0127924	−	0.00415651i
$835$	14.9405	−	6.65336i	0.517038	−	0.230249i
$836$	11.2517	−	9.91664i	0.389150	−	0.342974i
$837$	−4.20511	+	4.20511i	−0.145350	+	0.145350i
$838$	−2.41144	−	4.73271i	−0.0833017	−	0.163489i
$839$	−1.50918	−	2.07721i	−0.0521028	−	0.0717133i	0.782171	−	0.623064i	$-0.214113\pi$
$839$	−1.50918	−	2.07721i	−0.0521028	−	0.0717133i	−0.834273	+	0.551351i	$0.814113\pi$
$840$	−7.29572	−	1.55016i	−0.251726	−	0.0534854i
$841$	−2.55277	−	7.85662i	−0.0880265	−	0.270918i
$842$	0.101035	−	0.198291i	0.00348188	−	0.00683357i
$843$	5.16277	−	0.817703i	0.177815	−	0.0281632i
$844$	7.80543	−	5.67098i	0.268674	−	0.195203i
$845$	−17.5132	+	21.6304i	−0.602471	+	0.744109i
$846$		−	0.544177i		−	0.0187092i
$847$	−48.6527	+	1.51385i	−1.67173	+	0.0520164i
$848$	−5.30996	−	5.30996i	−0.182345	−	0.182345i
$849$	0.224932	−	0.692268i	0.00771963	−	0.0237586i
$850$	−0.606586	+	5.78002i	−0.0208057	+	0.198253i
$851$	14.1807	+	10.3029i	0.486110	+	0.353179i
$852$	−22.9198	−	11.6782i	−0.785219	−	0.400089i
$853$	−18.3699	−	9.35992i	−0.628972	−	0.320477i	0.110285	−	0.993900i	$-0.464823\pi$
$853$	−18.3699	−	9.35992i	−0.628972	−	0.320477i	−0.739258	+	0.673423i	$0.764823\pi$
$854$	2.37374	+	1.72462i	0.0812277	+	0.0590154i
$855$	4.97339	−	1.33303i	0.170086	−	0.0455888i
$856$	−0.373464	+	1.14940i	−0.0127647	+	0.0392858i
$857$	22.0282	+	22.0282i	0.752468	+	0.752468i	0.974939	−	0.222471i	$-0.0714123\pi$
$857$	22.0282	+	22.0282i	0.752468	+	0.752468i	−0.222471	+	0.974939i	$0.571412\pi$
$858$	−0.0295340	+	0.468270i	−0.00100828	+	0.0159865i
$859$			22.7654i			0.776744i	0.921503	+	0.388372i	$0.126962\pi$
$859$			22.7654i			0.776744i	−0.921503	+	0.388372i	$0.873038\pi$
$860$	−4.34911	−	41.3478i	−0.148303	−	1.40995i
$861$	17.5338	−	12.7390i	0.597549	−	0.434145i
$862$	−3.57796	+	0.566694i	−0.121866	+	0.0193017i
$863$	−21.0429	+	41.2990i	−0.716308	+	1.40583i	0.189386	+	0.981903i	$0.439350\pi$
$863$	−21.0429	+	41.2990i	−0.716308	+	1.40583i	−0.905694	+	0.423931i	$0.860650\pi$
$864$	0.688249	+	2.11821i	0.0234147	+	0.0720630i
$865$	8.20680	−	38.6249i	0.279040	−	1.31329i
$866$	−0.193983	−	0.266995i	−0.00659182	−	0.00907286i
$867$	−9.24342	−	18.1412i	−0.313923	−	0.616109i
$868$	36.5433	−	36.5433i	1.24036	−	1.24036i
$869$	6.72702	−	2.90980i	0.228198	−	0.0987082i
$870$	−1.80791	−	0.693828i	−0.0612938	−	0.0235230i
$871$	1.67631	+	0.544665i	0.0567995	+	0.0184553i
$872$	0.774006	−	4.88688i	0.0262111	−	0.165491i
$873$	−1.09155	−	6.89179i	−0.0369435	−	0.233252i
$874$	0.638273	−	0.207387i	0.0215899	−	0.00701498i
$875$	−0.0116551	−	49.4742i	−0.000394016	−	1.67253i
$876$	−7.46754	+	10.2782i	−0.252305	+	0.347268i
$877$	−19.0539	−	3.01784i	−0.643404	−	0.101905i	−0.173798	−	0.984781i	$-0.555604\pi$
$877$	−19.0539	−	3.01784i	−0.643404	−	0.101905i	−0.469606	+	0.882876i	$0.655604\pi$
$878$	3.86967	−	1.97170i	0.130595	−	0.0665415i
$879$	22.2516			0.750529
$880$	−15.5329	+	23.3750i	−0.523615	+	0.787972i
$881$	7.98555			0.269040			0.134520	−	0.990911i	$-0.457051\pi$
$881$	7.98555			0.269040			0.134520	+	0.990911i	$0.457051\pi$
$882$	2.13181	−	1.08621i	0.0717818	−	0.0365747i
$883$	−30.1466	−	4.77475i	−1.01451	−	0.160683i	−0.373029	−	0.927820i	$-0.621681\pi$
$883$	−30.1466	−	4.77475i	−1.01451	−	0.160683i	−0.641484	+	0.767137i	$0.721681\pi$
$884$	5.24880	−	7.22435i	0.176536	−	0.242981i
$885$	−10.6311	+	9.57379i	−0.357360	+	0.321819i
$886$	2.92753	−	0.951212i	0.0983523	−	0.0319566i
$887$	−5.13620	−	32.4287i	−0.172457	−	1.08885i	−0.910322	−	0.413901i	$-0.864166\pi$
$887$	−5.13620	−	32.4287i	−0.172457	−	1.08885i	0.737865	−	0.674948i	$-0.235834\pi$
$888$	1.34861	−	8.51478i	0.0452564	−	0.285737i
$889$	32.7940	+	10.6554i	1.09987	+	0.357371i
$890$	2.10298	+	4.72236i	0.0704919	+	0.158294i
$891$	0.311609	+	3.30195i	0.0104393	+	0.110620i
$892$	−10.2187	+	10.2187i	−0.342146	+	0.342146i
$893$	−2.99150	−	5.87114i	−0.100107	−	0.196470i
$894$	1.71237	+	2.35687i	0.0572701	+	0.0788255i
$895$	5.75514	+	8.86061i	0.192373	+	0.296178i
$896$	−7.94916	−	24.4650i	−0.265563	−	0.817318i
$897$	0.517621	−	1.01589i	0.0172829	−	0.0339195i
$898$	−0.452695	+	0.0716999i	−0.0151066	+	0.00239266i
$899$	21.9101	−	15.9186i	0.730744	−	0.530916i
$900$	−8.50289	+	4.91093i	−0.283430	+	0.163698i
$901$		−	12.1289i		−	0.404073i
$902$	0.767745	+	2.99210i	0.0255631	+	0.0996259i
$903$	29.6251	+	29.6251i	0.985862	+	0.985862i
$904$	−1.05616	+	3.25052i	−0.0351273	+	0.108111i
$905$	11.5665	+	43.1533i	0.384484	+	1.43447i
$906$	3.45307	+	2.50881i	0.114721	+	0.0833495i
$907$	41.9516	+	21.3754i	1.39298	+	0.709759i	0.979630	−	0.200812i	$-0.0643581\pi$
$907$	41.9516	+	21.3754i	1.39298	+	0.709759i	0.413351	+	0.910572i	$0.364358\pi$
$908$	44.7796	+	22.8163i	1.48606	+	0.757187i
$909$	−10.3797	−	7.54132i	−0.344274	−	0.250130i
$910$	0.699813	−	1.21233i	0.0231986	−	0.0401884i
$911$	6.72698	−	20.7035i	0.222875	−	0.685938i	−0.775626	−	0.631193i	$-0.782565\pi$
$911$	6.72698	−	20.7035i	0.222875	−	0.685938i	0.998500	−	0.0547449i	$-0.0174345\pi$
$912$	6.16179	+	6.16179i	0.204037	+	0.204037i
$913$	−5.28374	−	20.5921i	−0.174866	−	0.681498i
$914$		−	2.14647i		−	0.0709989i
$915$	7.75381	−	0.815574i	0.256333	−	0.0269620i
$916$	21.8312	−	15.8613i	0.721322	−	0.524071i
$917$	15.6622	−	2.48065i	0.517211	−	0.0819182i
$918$	−0.527697	+	1.03566i	−0.0174166	+	0.0341820i
$919$	−14.5168	−	44.6782i	−0.478866	−	1.47380i	−0.840672	−	0.541545i	$-0.817840\pi$
$919$	−14.5168	−	44.6782i	−0.478866	−	1.47380i	0.361806	−	0.932253i	$-0.382160\pi$
$920$	−2.16639	+	1.40711i	−0.0714238	+	0.0463912i
$921$	−12.2890	−	16.9144i	−0.404937	−	0.557348i
$922$	2.56798	+	5.03994i	0.0845718	+	0.165981i
$923$	6.89032	−	6.89032i	0.226798	−	0.226798i
$924$	−2.70795	−	28.6946i	−0.0890849	−	0.943984i
$925$	57.1054	−	3.00176i	1.87761	−	0.0986972i
$926$	−1.44973	−	0.471047i	−0.0476412	−	0.0154796i
$927$	0.512329	−	3.23472i	0.0168271	−	0.106242i
$928$	−1.58668	−	10.0179i	−0.0520854	−	0.328854i
$929$	−18.1275	+	5.88998i	−0.594744	+	0.193244i	−0.590895	−	0.806749i	$-0.701225\pi$
$929$	−18.1275	+	5.88998i	−0.594744	+	0.193244i	−0.00384901	+	0.999993i	$0.501225\pi$
$930$	−0.132147	+	2.52532i	−0.00433328	+	0.0828084i
$931$	17.0289	−	23.4383i	0.558101	−	0.768160i
$932$	−27.7105	−	4.38891i	−0.907687	−	0.143764i
$933$	7.84355	−	3.99649i	0.256786	−	0.130839i
$934$	0.266176			0.00870956
$935$	−44.4365	+	8.95642i	−1.45323	+	0.292906i
$936$	−0.560761			−0.0183290
$937$	29.7708	−	15.1690i	0.972571	−	0.495549i	0.105871	−	0.994380i	$-0.466237\pi$
$937$	29.7708	−	15.1690i	0.972571	−	0.495549i	0.866700	+	0.498830i	$0.166237\pi$
$938$	1.96921	+	0.311893i	0.0642971	+	0.0101837i
$939$	19.0354	−	26.2000i	0.621197	−	0.855005i
$940$	8.40907	+	9.33774i	0.274274	+	0.304564i
$941$	−54.3859	+	17.6710i	−1.77293	+	0.576060i	−0.998404	−	0.0564829i	$-0.982011\pi$
$941$	−54.3859	+	17.6710i	−1.77293	+	0.576060i	−0.774526	+	0.632542i	$0.782011\pi$
$942$	−0.000419776	−	0.00265036i	−1.36770e−5	−	8.63534e-5i
$943$	1.17425	−	7.41393i	0.0382389	−	0.241431i
$944$	−23.0274	−	7.48207i	−0.749479	−	0.243520i
$945$	3.54527	−	9.23792i	0.115328	−	0.300509i
$946$	−5.48068	+	2.37069i	−0.178192	+	0.0770779i
$947$	−20.6982	+	20.6982i	−0.672602	+	0.672602i	−0.958315	−	0.285713i	$-0.907770\pi$
$947$	−20.6982	+	20.6982i	−0.672602	+	0.672602i	0.285713	+	0.958315i	$0.407770\pi$
$948$	1.97026	+	3.86684i	0.0639909	+	0.125589i
$949$	−2.82880	−	3.89351i	−0.0918267	−	0.126389i
$950$	1.19217	−	1.83641i	0.0386791	−	0.0595811i
$951$	7.86511	+	24.2063i	0.255044	+	0.784943i
$952$	9.25602	−	18.1660i	0.299989	−	0.588762i
$953$	−16.7534	+	2.65348i	−0.542697	+	0.0859548i	−0.421764	−	0.906706i	$-0.638589\pi$
$953$	−16.7534	+	2.65348i	−0.542697	+	0.0859548i	−0.120933	+	0.992661i	$0.538589\pi$
$954$	−0.305286	+	0.221803i	−0.00988399	+	0.00718114i
$955$	−11.0967	−	8.98452i	−0.359082	−	0.290732i
$956$			50.3916i			1.62978i
$957$	0.950727	−	15.0740i	0.0307326	−	0.487274i
$958$	−5.33351	−	5.33351i	−0.172318	−	0.172318i
$959$	10.1764	−	31.3198i	0.328614	−	1.01137i
$960$	−13.8371	−	7.98740i	−0.446590	−	0.257792i
$961$	−3.53214	−	2.56625i	−0.113940	−	0.0827824i
$962$	1.44161	+	0.734539i	0.0464795	+	0.0236825i
$963$	−1.42856	−	0.727890i	−0.0460348	−	0.0234559i
$964$	−25.7013	−	18.6731i	−0.827783	−	0.601420i
$965$	−5.41514	−	3.12587i	−0.174320	−	0.100625i
$966$	0.398542	−	1.22658i	0.0128229	−	0.0394647i
$967$	21.6357	+	21.6357i	0.695757	+	0.695757i	0.963492	−	0.267736i	$-0.0862754\pi$
$967$	21.6357	+	21.6357i	0.695757	+	0.695757i	−0.267736	+	0.963492i	$0.586275\pi$
$968$	7.96169	+	2.31577i	0.255898	+	0.0744315i
$969$			14.0747i			0.452144i
$970$	−2.30600	−	1.86706i	−0.0740412	−	0.0599478i
$971$	−29.3023	+	21.2894i	−0.940355	+	0.683208i	−0.948506	−	0.316759i	$-0.897405\pi$
$971$	−29.3023	+	21.2894i	−0.940355	+	0.683208i	0.00815105	+	0.999967i	$0.497405\pi$
$972$	−1.93966	+	0.307212i	−0.0622146	+	0.00985382i
$973$	−4.10363	+	8.05383i	−0.131556	+	0.258194i
$974$	−0.854895	−	2.63110i	−0.0273926	−	0.0843057i
$975$	−0.773927	−	3.63823i	−0.0247855	−	0.116517i
$976$	7.75581	+	10.6750i	0.248257	+	0.341697i
$977$	9.91006	+	19.4496i	0.317051	+	0.622248i	0.993447	−	0.114290i	$-0.0364593\pi$
$977$	9.91006	+	19.4496i	0.317051	+	0.622248i	−0.676396	+	0.736538i	$0.736459\pi$
$978$	−0.610906	+	0.610906i	−0.0195346	+	0.0195346i
$979$	−30.2489	+	26.6596i	−0.966758	+	0.852045i
$980$	−19.7955	+	51.5812i	−0.632345	+	1.64770i
$981$	6.24267	+	2.02837i	0.199313	+	0.0647608i
$982$	0.316527	−	1.99847i	0.0101008	−	0.0637738i
$983$	−7.82924	−	49.4319i	−0.249714	−	1.57663i	−0.719909	−	0.694069i	$-0.755816\pi$
$983$	−7.82924	−	49.4319i	−0.249714	−	1.57663i	0.470195	−	0.882563i	$-0.344184\pi$
$984$	−3.51113	+	1.14084i	−0.111931	+	0.0363685i
$985$	6.64059	+	7.37396i	0.211587	+	0.234954i
$986$	3.11136	−	4.28242i	0.0990860	−	0.136380i
$987$	−12.5070	−	1.98091i	−0.398102	−	0.0630532i
$988$	−2.99743	+	1.52727i	−0.0953610	+	0.0485889i
$989$	14.5106			0.461411
$990$	1.03805	+	0.954681i	0.0329913	+	0.0303418i
$991$	46.0083			1.46150			0.730751	−	0.682645i	$-0.239170\pi$
$991$	46.0083			1.46150			0.730751	+	0.682645i	$0.239170\pi$
$992$	−11.8015	+	6.01316i	−0.374698	+	0.190918i
$993$	12.1504	+	1.92444i	0.385582	+	0.0610702i
$994$	6.47886	−	8.91739i	0.205497	−	0.282843i
$995$	2.00872	−	38.3863i	0.0636807	−	1.21693i
$996$	11.9718	−	3.88989i	0.379343	−	0.123256i
$997$	−4.02506	−	25.4132i	−0.127475	−	0.804846i	−0.965727	−	0.259562i	$-0.916422\pi$
$997$	−4.02506	−	25.4132i	−0.127475	−	0.804846i	0.838252	−	0.545284i	$-0.183578\pi$
$998$	0.381257	−	2.40716i	0.0120685	−	0.0761973i
$999$	10.8771	+	3.53418i	0.344136	+	0.111816i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.13.6	✓	96
3.2	odd	2		495.2.bj.c.343.7		96
5.2	odd	4	inner	165.2.w.a.112.6	yes	96
5.3	odd	4		825.2.cw.b.607.7		96
5.4	even	2		825.2.cw.b.343.7		96
11.6	odd	10	inner	165.2.w.a.28.6	yes	96
15.2	even	4		495.2.bj.c.442.7		96
33.17	even	10		495.2.bj.c.28.7		96
55.17	even	20	inner	165.2.w.a.127.6	yes	96
55.28	even	20		825.2.cw.b.457.7		96
55.39	odd	10		825.2.cw.b.193.7		96
165.17	odd	20		495.2.bj.c.127.7		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.13.6	✓	96	1.1	even	1	trivial
165.2.w.a.28.6	yes	96	11.6	odd	10	inner
165.2.w.a.112.6	yes	96	5.2	odd	4	inner
165.2.w.a.127.6	yes	96	55.17	even	20	inner
495.2.bj.c.28.7		96	33.17	even	10
495.2.bj.c.127.7		96	165.17	odd	20
495.2.bj.c.343.7		96	3.2	odd	2
495.2.bj.c.442.7		96	15.2	even	4
825.2.cw.b.193.7		96	55.39	odd	10
825.2.cw.b.343.7		96	5.4	even	2
825.2.cw.b.457.7		96	55.28	even	20
825.2.cw.b.607.7		96	5.3	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.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.169439 + 0.0863333i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.15431 + 1.58878i) q^{4} +(-2.23301 - 0.116851i) q^{5} +(-0.180858 + 0.0587644i) q^{6} +(0.692240 + 4.37063i) q^{7} +(0.117918 - 0.744505i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-0.169439 + 0.0863333i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.15431 + 1.58878i) q^{4} +(-2.23301 - 0.116851i) q^{5} +(-0.180858 + 0.0587644i) q^{6} +(0.692240 + 4.37063i) q^{7} +(0.117918 - 0.744505i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.388447 - 0.172984i) q^{10} +(2.19294 + 2.48818i) q^{11} +(-1.38864 + 1.38864i) q^{12} +(-0.337736 - 0.662843i) q^{13} +(-0.494623 - 0.680791i) q^{14} +(-2.18724 - 0.464733i) q^{15} +(-1.16942 - 3.59911i) q^{16} +(2.77493 - 5.44611i) q^{17} +(-0.187824 + 0.0297484i) q^{18} +(-1.86290 + 1.35348i) q^{19} +(2.76325 - 3.41288i) q^{20} +4.42511i q^{21} +(-0.586381 - 0.232270i) q^{22} +(1.08373 + 1.08373i) q^{23} +(0.232932 - 0.716892i) q^{24} +(4.97269 + 0.521861i) q^{25} +(0.114451 + 0.0831535i) q^{26} +(0.891007 + 0.453990i) q^{27} +(-7.74302 - 3.94527i) q^{28} +(-3.68428 - 2.67678i) q^{29} +(0.410725 - 0.110088i) q^{30} +(-1.83770 + 5.65587i) q^{31} +(1.57488 + 1.57488i) q^{32} +(1.77670 + 2.80059i) q^{33} +1.16235i q^{34} +(-1.03507 - 9.84056i) q^{35} +(-1.58878 + 1.15431i) q^{36} +(11.2960 - 1.78912i) q^{37} +(0.198798 - 0.390163i) q^{38} +(-0.229886 - 0.707516i) q^{39} +(-0.350309 + 1.64871i) q^{40} +(-2.87880 - 3.96233i) q^{41} +(-0.382035 - 0.749785i) q^{42} +(6.69477 - 6.69477i) q^{43} +(-6.48450 + 0.611950i) q^{44} +(-2.08761 - 0.801171i) q^{45} +(-0.277187 - 0.0900636i) q^{46} +(-0.447653 + 2.82637i) q^{47} +(-0.592000 - 3.73774i) q^{48} +(-11.9658 + 3.88793i) q^{49} +(-0.887621 + 0.340886i) q^{50} +(3.59273 - 4.94497i) q^{51} +(1.44296 + 0.228543i) q^{52} +(1.76806 - 0.900873i) q^{53} -0.190166 q^{54} +(-4.60611 - 5.81238i) q^{55} +3.33558 q^{56} +(-2.05170 + 1.04539i) q^{57} +(0.855355 + 0.135475i) q^{58} +(3.76070 - 5.17616i) q^{59} +(3.26312 - 2.93859i) q^{60} +(-3.31609 + 1.07746i) q^{61} +(-0.176912 - 1.11698i) q^{62} +(-0.692240 + 4.37063i) q^{63} +(6.79541 + 2.20796i) q^{64} +(0.676714 + 1.51960i) q^{65} +(-0.542827 - 0.321141i) q^{66} +(-1.67534 + 1.67534i) q^{67} +(5.44952 + 10.6953i) q^{68} +(0.900853 + 1.23992i) q^{69} +(1.02495 + 1.57801i) q^{70} +(4.04768 + 12.4575i) q^{71} +(0.342211 - 0.671627i) q^{72} +(6.38959 - 1.01201i) q^{73} +(-1.75952 + 1.27837i) q^{74} +(4.82983 + 1.29334i) q^{75} -4.52208i q^{76} +(-9.35687 + 11.3069i) q^{77} +(0.100034 + 0.100034i) q^{78} +(0.682893 - 2.10173i) q^{79} +(2.19077 + 8.17351i) q^{80} +(0.809017 + 0.587785i) q^{81} +(0.829862 + 0.422836i) q^{82} +(-5.71124 - 2.91002i) q^{83} +(-7.03052 - 5.10797i) q^{84} +(-6.83285 + 11.8370i) q^{85} +(-0.556372 + 1.71234i) q^{86} +(-3.22018 - 3.22018i) q^{87} +(2.11105 - 1.33925i) q^{88} +12.1570i q^{89} +(0.422890 - 0.0444811i) q^{90} +(2.66325 - 1.93496i) q^{91} +(-2.97277 + 0.470840i) q^{92} +(-2.69985 + 5.29875i) q^{93} +(-0.168160 - 0.517544i) q^{94} +(4.31805 - 2.80465i) q^{95} +(1.30913 + 1.80186i) q^{96} +(-3.16781 - 6.21718i) q^{97} +(1.69182 - 1.69182i) q^{98} +(1.31672 + 3.04405i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) \) 96 * q - 8 * q^5 - 20 * q^7	\( 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) \) 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

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