LMFDB - Embedded newform 165.2.w.a.13.4

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			13.4
Character	$\chi$	$=$	165.13
Dual form			165.2.w.a.127.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.48575 + 0.757027i) q^{2} +(0.987688 + 0.156434i) q^{3} +(0.458789 - 0.631469i) q^{4} +(1.81791 - 1.30201i) q^{5} +(-1.58588 + 0.515284i) q^{6} +(0.372318 + 2.35072i) q^{7} +(0.318101 - 2.00841i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-1.48575 + 0.757027i) q^{2} +(0.987688 + 0.156434i) q^{3} +(0.458789 - 0.631469i) q^{4} +(1.81791 - 1.30201i) q^{5} +(-1.58588 + 0.515284i) q^{6} +(0.372318 + 2.35072i) q^{7} +(0.318101 - 2.00841i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-1.71530 + 3.31066i) q^{10} +(1.92214 - 2.70285i) q^{11} +(0.551924 - 0.551924i) q^{12} +(1.36195 + 2.67299i) q^{13} +(-2.33273 - 3.21073i) q^{14} +(1.99920 - 1.00159i) q^{15} +(1.53020 + 4.70948i) q^{16} +(-2.67306 + 5.24617i) q^{17} +(-1.64696 + 0.260854i) q^{18} +(0.249256 - 0.181095i) q^{19} +(0.0118595 - 1.74530i) q^{20} +2.38003i q^{21} +(-0.809684 + 5.47086i) q^{22} +(1.94743 + 1.94743i) q^{23} +(0.628369 - 1.93392i) q^{24} +(1.60956 - 4.73385i) q^{25} +(-4.04704 - 2.94035i) q^{26} +(0.891007 + 0.453990i) q^{27} +(1.65522 + 0.843379i) q^{28} +(-3.45657 - 2.51135i) q^{29} +(-2.21208 + 3.00156i) q^{30} +(1.71810 - 5.28777i) q^{31} +(-2.96297 - 2.96297i) q^{32} +(2.32129 - 2.36888i) q^{33} -9.81806i q^{34} +(3.73750 + 3.78864i) q^{35} +(0.631469 - 0.458789i) q^{36} +(-8.34124 + 1.32112i) q^{37} +(-0.233238 + 0.457755i) q^{38} +(0.927039 + 2.85313i) q^{39} +(-2.03668 - 4.06527i) q^{40} +(-5.02602 - 6.91772i) q^{41} +(-1.80174 - 3.53612i) q^{42} +(1.57732 - 1.57732i) q^{43} +(-0.824909 - 2.45381i) q^{44} +(2.13127 - 0.676517i) q^{45} +(-4.36766 - 1.41914i) q^{46} +(1.94661 - 12.2904i) q^{47} +(0.774638 + 4.89087i) q^{48} +(1.27011 - 0.412684i) q^{49} +(1.19224 + 8.25179i) q^{50} +(-3.46083 + 4.76342i) q^{51} +(2.31276 + 0.366305i) q^{52} +(-8.15060 + 4.15294i) q^{53} -1.66749 q^{54} +(-0.0248582 - 7.41616i) q^{55} +4.83966 q^{56} +(0.274516 - 0.139873i) q^{57} +(7.03676 + 1.11451i) q^{58} +(-1.67463 + 2.30494i) q^{59} +(0.284738 - 1.72195i) q^{60} +(-6.02876 + 1.95886i) q^{61} +(1.45032 + 9.15694i) q^{62} +(-0.372318 + 2.35072i) q^{63} +(-2.77368 - 0.901224i) q^{64} +(5.95615 + 3.08597i) q^{65} +(-1.65555 + 5.27684i) q^{66} +(0.118005 - 0.118005i) q^{67} +(2.08642 + 4.09483i) q^{68} +(1.61881 + 2.22810i) q^{69} +(-8.42108 - 2.79958i) q^{70} +(3.29824 + 10.1509i) q^{71} +(0.923165 - 1.81181i) q^{72} +(7.89863 - 1.25102i) q^{73} +(11.3929 - 8.27740i) q^{74} +(2.33028 - 4.42377i) q^{75} -0.240481i q^{76} +(7.06930 + 3.51210i) q^{77} +(-3.53725 - 3.53725i) q^{78} +(0.565763 - 1.74124i) q^{79} +(8.91353 + 6.56905i) q^{80} +(0.809017 + 0.587785i) q^{81} +(12.7043 + 6.47316i) q^{82} +(-14.9719 - 7.62857i) q^{83} +(1.50291 + 1.09193i) q^{84} +(1.97117 + 13.0174i) q^{85} +(-1.14943 + 3.53758i) q^{86} +(-3.02116 - 3.02116i) q^{87} +(-4.81700 - 4.72022i) q^{88} +11.9509i q^{89} +(-2.65439 + 2.61856i) q^{90} +(-5.77637 + 4.19678i) q^{91} +(2.12321 - 0.336283i) q^{92} +(2.52414 - 4.95390i) q^{93} +(6.41199 + 19.7341i) q^{94} +(0.217337 - 0.653746i) q^{95} +(-2.46298 - 3.39000i) q^{96} +(-0.570148 - 1.11898i) q^{97} +(-1.57465 + 1.57465i) q^{98} +(2.66329 - 1.97659i) 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 $

$2$	−1.48575	+	0.757027i	−1.05058	+	0.535299i	−0.891995	−	0.452046i	$-0.850694\pi$
$2$	−1.48575	+	0.757027i	−1.05058	+	0.535299i	−0.158588	+	0.987345i	$0.550694\pi$
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	0.458789	−	0.631469i	0.229394	−	0.315734i
$5$	1.81791	−	1.30201i	0.812992	−	0.582274i
$5$	1.81791	−	1.30201i	0.812992	−	0.582274i
$6$	−1.58588	+	0.515284i	−0.647433	+	0.210364i
$7$	0.372318	+	2.35072i	0.140723	+	0.888490i	0.952504	+	0.304528i	$0.0984986\pi$
$7$	0.372318	+	2.35072i	0.140723	+	0.888490i	−0.811780	+	0.583963i	$0.801501\pi$
$8$	0.318101	−	2.00841i	0.112466	−	0.710081i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−1.71530	+	3.31066i	−0.542425	+	1.04692i
$11$	1.92214	−	2.70285i	0.579546	−	0.814939i
$11$	1.92214	−	2.70285i	0.579546	−	0.814939i
$12$	0.551924	−	0.551924i	0.159327	−	0.159327i
$13$	1.36195	+	2.67299i	0.377738	+	0.741353i	0.999111	−	0.0421623i	$-0.0134246\pi$
$13$	1.36195	+	2.67299i	0.377738	+	0.741353i	−0.621373	+	0.783515i	$0.713425\pi$
$14$	−2.33273	−	3.21073i	−0.623449	−	0.858104i
$15$	1.99920	−	1.00159i	0.516192	−	0.258610i
$16$	1.53020	+	4.70948i	0.382550	+	1.17737i
$17$	−2.67306	+	5.24617i	−0.648311	+	1.27238i	0.299666	+	0.954044i	$0.403125\pi$
$17$	−2.67306	+	5.24617i	−0.648311	+	1.27238i	−0.947977	+	0.318338i	$0.896875\pi$
$18$	−1.64696	+	0.260854i	−0.388193	+	0.0614838i
$19$	0.249256	−	0.181095i	0.0571832	−	0.0415460i	−0.558826	−	0.829285i	$-0.688748\pi$
$19$	0.249256	−	0.181095i	0.0571832	−	0.0415460i	0.616010	+	0.787739i	$0.288748\pi$
$20$	0.0118595	−	1.74530i	0.00265186	−	0.390260i
$21$			2.38003i			0.519364i
$22$	−0.809684	+	5.47086i	−0.172625	+	1.16639i
$23$	1.94743	+	1.94743i	0.406068	+	0.406068i	0.880365	−	0.474297i	$-0.157298\pi$
$23$	1.94743	+	1.94743i	0.406068	+	0.406068i	−0.474297	+	0.880365i	$0.657298\pi$
$24$	0.628369	−	1.93392i	0.128265	−	0.394760i
$25$	1.60956	−	4.73385i	0.321913	−	0.946769i
$26$	−4.04704	−	2.94035i	−0.793691	−	0.576650i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	1.65522	+	0.843379i	0.312808	+	0.159384i
$29$	−3.45657	−	2.51135i	−0.641870	−	0.466346i	0.218622	−	0.975810i	$-0.429844\pi$
$29$	−3.45657	−	2.51135i	−0.641870	−	0.466346i	−0.860492	+	0.509464i	$0.829844\pi$
$30$	−2.21208	+	3.00156i	−0.403869	+	0.548008i
$31$	1.71810	−	5.28777i	0.308580	−	0.949711i	−0.669737	−	0.742598i	$-0.733593\pi$
$31$	1.71810	−	5.28777i	0.308580	−	0.949711i	0.978317	−	0.207113i	$-0.0664067\pi$
$32$	−2.96297	−	2.96297i	−0.523784	−	0.523784i
$33$	2.32129	−	2.36888i	0.404085	−	0.412370i
$34$		−	9.81806i		−	1.68378i
$35$	3.73750	+	3.78864i	0.631752	+	0.640396i
$36$	0.631469	−	0.458789i	0.105245	−	0.0764648i
$37$	−8.34124	+	1.32112i	−1.37129	+	0.217191i	−0.798246	−	0.602332i	$-0.794238\pi$
$37$	−8.34124	+	1.32112i	−1.37129	+	0.217191i	−0.573046	+	0.819523i	$0.694238\pi$
$38$	−0.233238	+	0.457755i	−0.0378361	+	0.0742576i
$39$	0.927039	+	2.85313i	0.148445	+	0.456867i
$40$	−2.03668	−	4.06527i	−0.322028	−	0.642776i
$41$	−5.02602	−	6.91772i	−0.784932	−	1.08037i	−0.994721	−	0.102619i	$-0.967278\pi$
$41$	−5.02602	−	6.91772i	−0.784932	−	1.08037i	0.209789	−	0.977747i	$-0.432722\pi$
$42$	−1.80174	−	3.53612i	−0.278015	−	0.545635i
$43$	1.57732	−	1.57732i	0.240539	−	0.240539i	−0.576534	−	0.817073i	$-0.695595\pi$
$43$	1.57732	−	1.57732i	0.240539	−	0.240539i	0.817073	+	0.576534i	$0.195595\pi$
$44$	−0.824909	−	2.45381i	−0.124360	−	0.369925i
$45$	2.13127	−	0.676517i	0.317711	−	0.100849i
$46$	−4.36766	−	1.41914i	−0.643976	−	0.209241i
$47$	1.94661	−	12.2904i	0.283942	−	1.79274i	−0.272819	−	0.962065i	$-0.587956\pi$
$47$	1.94661	−	12.2904i	0.283942	−	1.79274i	0.556761	−	0.830673i	$-0.312044\pi$
$48$	0.774638	+	4.89087i	0.111809	+	0.705936i
$49$	1.27011	−	0.412684i	0.181444	−	0.0589549i
$50$	1.19224	+	8.25179i	0.168608	+	1.16698i
$51$	−3.46083	+	4.76342i	−0.484613	+	0.667012i
$52$	2.31276	+	0.366305i	0.320722	+	0.0507973i
$53$	−8.15060	+	4.15294i	−1.11957	+	0.570450i	−0.912991	−	0.407979i	$-0.866234\pi$
$53$	−8.15060	+	4.15294i	−1.11957	+	0.570450i	−0.206580	+	0.978430i	$0.566234\pi$
$54$	−1.66749			−0.226917
$55$	−0.0248582	−	7.41616i	−0.00335188	−	0.999994i
$56$	4.83966			0.646726
$57$	0.274516	−	0.139873i	0.0363606	−	0.0185266i
$58$	7.03676	+	1.11451i	0.923971	+	0.146343i
$59$	−1.67463	+	2.30494i	−0.218019	+	0.300077i	−0.903992	−	0.427550i	$-0.859377\pi$
$59$	−1.67463	+	2.30494i	−0.218019	+	0.300077i	0.685973	+	0.727627i	$0.259377\pi$
$60$	0.284738	−	1.72195i	0.0367595	−	0.222303i
$61$	−6.02876	+	1.95886i	−0.771904	+	0.250807i	−0.668380	−	0.743820i	$-0.733012\pi$
$61$	−6.02876	+	1.95886i	−0.771904	+	0.250807i	−0.103524	+	0.994627i	$0.533012\pi$
$62$	1.45032	+	9.15694i	0.184190	+	1.16293i
$63$	−0.372318	+	2.35072i	−0.0469077	+	0.296163i
$64$	−2.77368	−	0.901224i	−0.346710	−	0.112653i
$65$	5.95615	+	3.08597i	0.738769	+	0.382767i
$66$	−1.65555	+	5.27684i	−0.203784	+	0.649535i
$67$	0.118005	−	0.118005i	0.0144166	−	0.0144166i	−0.699862	−	0.714278i	$-0.746755\pi$
$67$	0.118005	−	0.118005i	0.0144166	−	0.0144166i	0.714278	+	0.699862i	$0.246755\pi$
$68$	2.08642	+	4.09483i	0.253016	+	0.496571i
$69$	1.61881	+	2.22810i	0.194882	+	0.268232i
$70$	−8.42108	−	2.79958i	−1.00651	−	0.334613i
$71$	3.29824	+	10.1509i	0.391429	+	1.20470i	0.931708	+	0.363209i	$0.118319\pi$
$71$	3.29824	+	10.1509i	0.391429	+	1.20470i	−0.540279	+	0.841486i	$0.681681\pi$
$72$	0.923165	−	1.81181i	0.108796	−	0.213524i
$73$	7.89863	−	1.25102i	0.924465	−	0.146421i	0.323987	−	0.946062i	$-0.394977\pi$
$73$	7.89863	−	1.25102i	0.924465	−	0.146421i	0.600479	+	0.799641i	$0.294977\pi$
$74$	11.3929	−	8.27740i	1.32439	−	0.962228i
$75$	2.33028	−	4.42377i	0.269078	−	0.510813i
$76$		−	0.240481i		−	0.0275851i
$77$	7.06930	+	3.51210i	0.805621	+	0.400240i
$78$	−3.53725	−	3.53725i	−0.400514	−	0.400514i
$79$	0.565763	−	1.74124i	0.0636533	−	0.195905i	−0.914172	−	0.405326i	$-0.867158\pi$
$79$	0.565763	−	1.74124i	0.0636533	−	0.195905i	0.977826	+	0.209421i	$0.0671580\pi$
$80$	8.91353	+	6.56905i	0.996562	+	0.734443i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	12.7043	+	6.47316i	1.40295	+	0.714841i
$83$	−14.9719	−	7.62857i	−1.64338	−	0.837344i	−0.997249	−	0.0741179i	$-0.976386\pi$
$83$	−14.9719	−	7.62857i	−1.64338	−	0.837344i	−0.646131	−	0.763226i	$-0.723614\pi$
$84$	1.50291	+	1.09193i	0.163981	+	0.119139i
$85$	1.97117	+	13.0174i	0.213804	+	1.41193i
$86$	−1.14943	+	3.53758i	−0.123946	+	0.381467i
$87$	−3.02116	−	3.02116i	−0.323902	−	0.323902i
$88$	−4.81700	−	4.72022i	−0.513494	−	0.503177i
$89$			11.9509i			1.26679i	0.773828	+	0.633396i	$0.218339\pi$
$89$			11.9509i			1.26679i	−0.773828	+	0.633396i	$0.781661\pi$
$90$	−2.65439	+	2.61856i	−0.279798	+	0.276021i
$91$	−5.77637	+	4.19678i	−0.605528	+	0.439942i
$92$	2.12321	−	0.336283i	0.221359	−	0.0350599i
$93$	2.52414	−	4.95390i	0.261741	−	0.513695i
$94$	6.41199	+	19.7341i	0.661346	+	2.03541i
$95$	0.217337	−	0.653746i	0.0222983	−	0.0670729i
$96$	−2.46298	−	3.39000i	−0.251377	−	0.345990i
$97$	−0.570148	−	1.11898i	−0.0578898	−	0.113615i	0.860249	−	0.509874i	$-0.170308\pi$
$97$	−0.570148	−	1.11898i	−0.0578898	−	0.113615i	−0.918139	+	0.396259i	$0.870308\pi$
$98$	−1.57465	+	1.57465i	−0.159064	+	0.159064i
$99$	2.66329	−	1.97659i	0.267670	−	0.198655i
$100$	−2.25083	−	3.18823i	−0.225083	−	0.318823i
$101$	5.93915	+	1.92975i	0.590967	+	0.192017i	0.589208	−	0.807981i	$-0.299440\pi$
$101$	5.93915	+	1.92975i	0.590967	+	0.192017i	0.00175958	+	0.999998i	$0.499440\pi$
$102$	1.53588	−	9.69718i	0.152075	−	0.960164i
$103$	1.21446	+	7.66782i	0.119665	+	0.755533i	0.972422	+	0.233227i	$0.0749284\pi$
$103$	1.21446	+	7.66782i	0.119665	+	0.755533i	−0.852758	+	0.522307i	$0.825072\pi$
$104$	5.80169	−	1.88508i	0.568903	−	0.184848i
$105$	3.09881	+	4.32666i	0.302413	+	0.422239i
$106$	8.96586	−	12.3404i	0.870841	−	1.19861i
$107$	0.340719	+	0.0539646i	0.0329385	+	0.00521695i	0.172882	−	0.984943i	$-0.444692\pi$
$107$	0.340719	+	0.0539646i	0.0329385	+	0.00521695i	−0.139943	+	0.990159i	$0.544692\pi$
$108$	0.695465	−	0.354357i	0.0669211	−	0.0340980i
$109$	−3.56802			−0.341755			−0.170877	−	0.985292i	$-0.554660\pi$
$109$	−3.56802			−0.341755			−0.170877	+	0.985292i	$0.554660\pi$
$110$	5.65116	+	10.9997i	0.538817	+	1.04878i
$111$	−8.44522			−0.801585
$112$	−10.5010	+	5.35051i	−0.992247	+	0.505575i
$113$	−15.2182	−	2.41032i	−1.43160	−	0.226744i	−0.608012	−	0.793928i	$-0.708033\pi$
$113$	−15.2182	−	2.41032i	−1.43160	−	0.226744i	−0.823591	+	0.567184i	$0.808033\pi$
$114$	−0.301975	+	0.415633i	−0.0282825	+	0.0389276i
$115$	6.07582	+	1.00468i	0.566573	+	0.0936872i
$116$	−3.17167	+	1.03054i	−0.294483	+	0.0956832i
$117$	0.469298	+	2.96303i	0.0433866	+	0.273932i
$118$	0.743187	−	4.69230i	0.0684159	−	0.431961i
$119$	−13.3275	−	4.33037i	−1.22173	−	0.396965i
$120$	−1.37566	−	4.33383i	−0.125580	−	0.395623i
$121$	−3.61078	−	10.3905i	−0.328253	−	0.944590i
$122$	7.47431	−	7.47431i	0.676692	−	0.676692i
$123$	−3.88197	−	7.61879i	−0.350025	−	0.686963i
$124$	−2.55081	−	3.51089i	−0.229070	−	0.315288i
$125$	−3.23746	−	10.7013i	−0.289567	−	0.957158i
$126$	−1.22639	−	3.77444i	−0.109256	−	0.336254i
$127$	7.02985	−	13.7969i	0.623799	−	1.22427i	−0.335543	−	0.942025i	$-0.608920\pi$
$127$	7.02985	−	13.7969i	0.623799	−	1.22427i	0.959341	−	0.282249i	$-0.0910803\pi$
$128$	13.0806	−	2.07176i	1.15617	−	0.183120i
$129$	1.80465	−	1.31115i	0.158891	−	0.115441i
$130$	−11.1855	−	0.0760066i	−0.981033	−	0.00666622i
$131$		−	9.79364i		−	0.855675i	−0.903856	−	0.427837i	$-0.859276\pi$
$131$		−	9.79364i		−	0.855675i	0.903856	−	0.427837i	$-0.140724\pi$
$132$	−0.430893	−	2.55264i	−0.0375044	−	0.222179i
$133$	0.518507	+	0.518507i	0.0449602	+	0.0449602i
$134$	−0.0859930	+	0.264659i	−0.00742866	+	0.0228631i
$135$	2.21086	−	0.334783i	0.190281	−	0.0288135i
$136$	9.68616	+	7.03741i	0.830581	+	0.603453i
$137$	−7.03457	−	3.58429i	−0.601004	−	0.306227i	0.126890	−	0.991917i	$-0.459500\pi$
$137$	−7.03457	−	3.58429i	−0.601004	−	0.306227i	−0.727894	+	0.685690i	$0.759500\pi$
$138$	−4.09188	−	2.08492i	−0.348324	−	0.177480i
$139$	−9.94819	−	7.22778i	−0.843794	−	0.613052i	0.0796339	−	0.996824i	$-0.474625\pi$
$139$	−9.94819	−	7.22778i	−0.843794	−	0.613052i	−0.923428	+	0.383772i	$0.874625\pi$
$140$	4.10713	−	0.621927i	0.347115	−	0.0525624i
$141$	3.84528	−	11.8346i	0.323831	−	0.996650i
$142$	−12.5849	−	12.5849i	−1.05610	−	1.05610i
$143$	9.84254	+	1.45669i	0.823074	+	0.121814i
$144$			4.95184i			0.412653i
$145$	−9.55351	−	0.0649171i	−0.793376	−	0.00539107i
$146$	−10.7883	+	7.83818i	−0.892848	+	0.648692i
$147$	1.31903	−	0.208914i	0.108792	−	0.0172309i
$148$	−2.99262	+	5.87335i	−0.245992	+	0.482786i
$149$	7.32688	+	22.5498i	0.600241	+	1.84735i	0.526684	+	0.850061i	$0.323435\pi$
$149$	7.32688	+	22.5498i	0.600241	+	1.84735i	0.0735572	+	0.997291i	$0.476565\pi$
$150$	−0.113303	+	8.33670i	−0.00925113	+	0.680689i
$151$	7.87840	+	10.8437i	0.641135	+	0.882446i	0.998676	−	0.0514512i	$-0.0163847\pi$
$151$	7.87840	+	10.8437i	0.641135	+	0.882446i	−0.357541	+	0.933898i	$0.616385\pi$
$152$	−0.284424	−	0.558214i	−0.0230699	−	0.0452772i
$153$	−4.16338	+	4.16338i	−0.336589	+	0.336589i
$154$	−13.1619	+	0.133557i	−1.06062	+	0.0107624i
$155$	−3.76136	−	11.8496i	−0.302119	−	0.951786i
$156$	2.22698	+	0.723590i	0.178301	+	0.0579335i
$157$	−3.17082	+	20.0198i	−0.253059	+	1.59775i	0.454269	+	0.890864i	$0.349900\pi$
$157$	−3.17082	+	20.0198i	−0.253059	+	1.59775i	−0.707328	+	0.706886i	$0.750100\pi$
$158$	0.477583	+	3.01534i	0.0379945	+	0.239888i
$159$	−8.69992	+	2.82678i	−0.689949	+	0.224178i
$160$	−9.24419	−	1.52860i	−0.730818	−	0.120846i
$161$	−3.85282	+	5.30295i	−0.303645	+	0.417931i
$162$	−1.64696	−	0.260854i	−0.129398	−	0.0204946i
$163$	8.30645	−	4.23235i	0.650611	−	0.331503i	−0.0973455	−	0.995251i	$-0.531035\pi$
$163$	8.30645	−	4.23235i	0.650611	−	0.331503i	0.747956	+	0.663748i	$0.231035\pi$
$164$	−6.67420			−0.521168
$165$	1.13559	−	7.32874i	0.0884056	−	0.570542i
$166$	28.0195			2.17474
$167$	8.79347	−	4.48050i	0.680459	−	0.346711i	−0.0793599	−	0.996846i	$-0.525288\pi$
$167$	8.79347	−	4.48050i	0.680459	−	0.346711i	0.759819	+	0.650135i	$0.225288\pi$
$168$	4.78007	+	0.757089i	0.368791	+	0.0584107i
$169$	2.35127	−	3.23625i	0.180867	−	0.248942i
$170$	−12.7832	−	17.8483i	−0.980424	−	1.36890i
$171$	0.293018	−	0.0952072i	0.0224076	−	0.00728068i
$172$	−0.272372	−	1.71969i	−0.0207681	−	0.131125i
$173$	−0.589201	+	3.72007i	−0.0447961	+	0.282832i	−0.999910	−	0.0134069i	$-0.995732\pi$
$173$	−0.589201	+	3.72007i	−0.0447961	+	0.282832i	0.955114	+	0.296238i	$0.0957323\pi$
$174$	6.77577	+	2.20158i	0.513670	+	0.166902i
$175$	11.7272	+	2.02115i	0.886496	+	0.152784i
$176$	15.6703	+	4.91636i	1.18119	+	0.370584i
$177$	−2.01459	+	2.01459i	−0.151426	+	0.151426i
$178$	−9.04714	−	17.7560i	−0.678112	−	1.33087i
$179$	3.46864	+	4.77417i	0.259258	+	0.356838i	0.918727	−	0.394894i	$-0.129219\pi$
$179$	3.46864	+	4.77417i	0.259258	+	0.356838i	−0.659469	+	0.751732i	$0.729219\pi$
$180$	0.550605	−	1.65621i	0.0410397	−	0.123447i
$181$	−0.859916	−	2.64655i	−0.0639170	−	0.196716i	0.913998	−	0.405718i	$-0.132979\pi$
$181$	−0.859916	−	2.64655i	−0.0639170	−	0.196716i	−0.977915	+	0.209002i	$0.932979\pi$
$182$	5.40516	−	10.6082i	0.400657	−	0.786334i
$183$	−6.26097	+	0.991640i	−0.462824	+	0.0733041i
$184$	4.53073	−	3.29177i	0.334010	−	0.242672i
$185$	−13.4435	+	13.2620i	−0.988385	+	0.975043i
$186$			9.27108i			0.679789i
$187$	9.04162	+	17.3087i	0.661188	+	1.26574i
$188$	−6.86791	−	6.86791i	−0.500894	−	0.500894i
$189$	−0.735469	+	2.26354i	−0.0534975	+	0.164648i
$190$	0.171995	+	1.13583i	0.0124778	+	0.0824019i
$191$	12.4023	+	9.01081i	0.897400	+	0.651999i	0.937797	−	0.347185i	$-0.112862\pi$
$191$	12.4023	+	9.01081i	0.897400	+	0.651999i	−0.0403972	+	0.999184i	$0.512862\pi$
$192$	−2.59855	−	1.32403i	−0.187534	−	0.0955535i
$193$	7.69333	+	3.91995i	0.553778	+	0.282164i	0.708402	−	0.705810i	$-0.249417\pi$
$193$	7.69333	+	3.91995i	0.553778	+	0.282164i	−0.154624	+	0.987973i	$0.549417\pi$
$194$	1.69419	+	1.23090i	0.121636	+	0.0883737i
$195$	5.40007	+	3.97972i	0.386707	+	0.284994i
$196$	0.322116	−	0.991370i	0.0230083	−	0.0708121i
$197$	−8.32790	−	8.32790i	−0.593338	−	0.593338i	0.345193	−	0.938532i	$-0.387813\pi$
$197$	−8.32790	−	8.32790i	−0.593338	−	0.593338i	−0.938532	+	0.345193i	$0.887813\pi$
$198$	−2.46064	+	4.95289i	−0.174870	+	0.351987i
$199$			11.7947i			0.836101i	0.908424	+	0.418050i	$0.137286\pi$
$199$			11.7947i			0.836101i	−0.908424	+	0.418050i	$0.862714\pi$
$200$	−8.99551	−	4.73851i	−0.636078	−	0.335063i
$201$	0.135012	−	0.0980923i	0.00952305	−	0.00691890i
$202$	−10.2850	+	1.62898i	−0.723647	+	0.114614i
$203$	4.61654	−	9.06047i	0.324018	−	0.635920i
$204$	1.42016	+	4.37081i	0.0994312	+	0.306018i
$205$	−18.1437	−	6.03186i	−1.26721	−	0.421284i
$206$	−7.60914	−	10.4731i	−0.530154	−	0.729694i
$207$	1.25033	+	2.45391i	0.0869039	+	0.170559i
$208$	−10.5043	+	10.5043i	−0.728342	+	0.728342i
$209$	−0.0103683	−	1.02179i	−0.000717193	−	0.0706787i
$210$	−7.87945	−	4.08246i	−0.543734	−	0.281716i
$211$	−13.8490	−	4.49980i	−0.953403	−	0.309779i	−0.209305	−	0.977850i	$-0.567120\pi$
$211$	−13.8490	−	4.49980i	−0.953403	−	0.309779i	−0.744097	+	0.668071i	$0.767120\pi$
$212$	−1.11695	+	7.05217i	−0.0767127	+	0.484345i
$213$	1.66968	+	10.5419i	0.114404	+	0.722321i
$214$	−0.547075	+	0.177755i	−0.0373973	+	0.0121511i
$215$	0.813741	−	4.92110i	0.0554967	−	0.335616i
$216$	1.19523	−	1.64509i	0.0813251	−	0.111934i
$217$	13.0698	+	2.07005i	0.887233	+	0.140524i
$218$	5.30118	−	2.70109i	0.359041	−	0.182941i
$219$	7.99709			0.540393
$220$	−4.69447	−	3.38675i	−0.316501	−	0.228335i
$221$	−17.6635			−1.18818
$222$	12.5475	−	6.39325i	0.842131	−	0.429087i
$223$	−7.50484	−	1.18865i	−0.502561	−	0.0795979i	−0.0999936	−	0.994988i	$-0.531882\pi$
$223$	−7.50484	−	1.18865i	−0.502561	−	0.0795979i	−0.402568	+	0.915390i	$0.631882\pi$
$224$	5.86195	−	8.06829i	0.391668	−	0.539085i
$225$	2.99363	−	4.00477i	0.199575	−	0.266985i
$226$	24.4350	−	7.93942i	1.62539	−	0.528122i
$227$	0.124917	+	0.788698i	0.00829106	+	0.0523477i	0.991487	−	0.130206i	$-0.0415638\pi$
$227$	0.124917	+	0.788698i	0.00829106	+	0.0523477i	−0.983196	+	0.182553i	$0.941564\pi$
$228$	0.0376196	−	0.237521i	0.00249142	−	0.0157302i
$229$	19.8588	+	6.45253i	1.31231	+	0.426395i	0.879847	−	0.475257i	$-0.157645\pi$
$229$	19.8588	+	6.45253i	1.31231	+	0.426395i	0.432462	+	0.901652i	$0.357645\pi$
$230$	−9.78772	+	3.10685i	−0.645383	+	0.204860i
$231$	6.43285	+	4.57474i	0.423251	+	0.300996i
$232$	−6.14336	+	6.14336i	−0.403331	+	0.403331i
$233$	8.42985	+	16.5445i	0.552258	+	1.08387i	0.983378	+	0.181572i	$0.0581185\pi$
$233$	8.42985	+	16.5445i	0.552258	+	1.08387i	−0.431120	+	0.902295i	$0.641881\pi$
$234$	−2.94035	−	4.04704i	−0.192217	−	0.264564i
$235$	−12.4634	−	24.8773i	−0.813023	−	1.62281i
$236$	0.687191	+	2.11496i	0.0447324	+	0.137672i
$237$	0.831188	−	1.63130i	0.0539915	−	0.105964i
$238$	23.0796	−	3.65544i	1.49603	−	0.236947i
$239$	−3.89537	+	2.83015i	−0.251971	+	0.183067i	−0.706600	−	0.707614i	$-0.749772\pi$
$239$	−3.89537	+	2.83015i	−0.251971	+	0.183067i	0.454629	+	0.890681i	$0.349772\pi$
$240$	7.77616	+	7.88256i	0.501949	+	0.508817i
$241$		−	21.2768i		−	1.37056i	−0.728280	−	0.685280i	$-0.759680\pi$
$241$		−	21.2768i		−	1.37056i	0.728280	−	0.685280i	$-0.240320\pi$
$242$	13.2306	+	12.7042i	0.850494	+	0.816657i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	−1.52897	+	4.70568i	−0.0978821	+	0.301250i
$245$	1.77163	−	2.40391i	0.113185	−	0.153580i
$246$	11.5353	+	8.38086i	0.735461	+	0.534344i
$247$	0.823539	+	0.419614i	0.0524005	+	0.0266994i
$248$	−10.0735	−	5.13269i	−0.639667	−	0.325926i
$249$	−13.5942	−	9.87677i	−0.861498	−	0.625915i
$250$	12.9113	+	13.4487i	0.816579	+	0.850569i
$251$	5.47755	−	16.8582i	0.345740	−	1.06408i	−0.615446	−	0.788179i	$-0.711024\pi$
$251$	5.47755	−	16.8582i	0.345740	−	1.06408i	0.961186	−	0.275900i	$-0.0889759\pi$
$252$	1.31359	+	1.31359i	0.0827486	+	0.0827486i
$253$	9.00686	−	1.52038i	0.566256	−	0.0955857i
$254$			25.8205i			1.62012i
$255$	−0.0894607	+	13.1655i	−0.00560225	+	0.824453i
$256$	−13.1472	+	9.55203i	−0.821702	+	0.597002i
$257$	−11.9929	+	1.89950i	−0.748100	+	0.118487i	−0.518832	−	0.854876i	$-0.673633\pi$
$257$	−11.9929	+	1.89950i	−0.748100	+	0.118487i	−0.229267	+	0.973363i	$0.573633\pi$
$258$	−1.68868	+	3.31421i	−0.105132	+	0.206334i
$259$	−6.21119	−	19.1161i	−0.385945	−	1.18782i
$260$	4.68130	−	2.34531i	0.290322	−	0.145450i
$261$	−2.51135	−	3.45657i	−0.155449	−	0.213957i
$262$	7.41405	+	14.5509i	0.458041	+	0.898957i
$263$	14.3217	−	14.3217i	0.883113	−	0.883113i	−0.110737	−	0.993850i	$-0.535321\pi$
$263$	14.3217	−	14.3217i	0.883113	−	0.883113i	0.993850	+	0.110737i	$0.0353212\pi$
$264$	−4.01929	−	5.41565i	−0.247370	−	0.333310i
$265$	−9.40988	+	18.1618i	−0.578044	+	1.11567i
$266$	−1.16289	−	0.377847i	−0.0713016	−	0.0231673i
$267$	−1.86953	+	11.8037i	−0.114413	+	0.722378i
$268$	−0.0203771	−	0.128656i	−0.00124473	−	0.00785892i
$269$	7.23126	−	2.34958i	0.440897	−	0.143256i	−0.0801522	−	0.996783i	$-0.525541\pi$
$269$	7.23126	−	2.34958i	0.440897	−	0.143256i	0.521050	+	0.853526i	$0.325541\pi$
$270$	−3.03135	+	2.17109i	−0.184482	+	0.132128i
$271$	−2.12229	+	2.92108i	−0.128920	+	0.177443i	−0.868597	−	0.495519i	$-0.834978\pi$
$271$	−2.12229	+	2.92108i	−0.128920	+	0.177443i	0.739678	+	0.672961i	$0.234978\pi$
$272$	−28.7970	−	4.56100i	−1.74608	−	0.276551i
$273$	−6.36178	+	3.24149i	−0.385032	+	0.196184i
$274$	13.1650			0.795327
$275$	−9.70107	−	13.4495i	−0.584996	−	0.811036i
$276$	2.14967			0.129395
$277$	18.4552	−	9.40339i	1.10887	−	0.564995i	0.199042	−	0.979991i	$-0.436217\pi$
$277$	18.4552	−	9.40339i	1.10887	−	0.564995i	0.909823	+	0.414996i	$0.136217\pi$
$278$	20.2521	+	3.20762i	1.21464	+	0.192380i
$279$	3.26802	−	4.49804i	0.195651	−	0.269291i
$280$	8.79804	−	6.30126i	0.525783	−	0.376572i
$281$	0.874482	−	0.284136i	0.0521672	−	0.0169502i	−0.282817	−	0.959174i	$-0.591269\pi$
$281$	0.874482	−	0.284136i	0.0521672	−	0.0169502i	0.334984	+	0.942224i	$0.391269\pi$
$282$	3.24596	+	20.4942i	0.193294	+	1.22041i
$283$	−2.45998	+	15.5317i	−0.146231	+	0.923265i	0.800053	+	0.599929i	$0.204805\pi$
$283$	−2.45998	+	15.5317i	−0.146231	+	0.923265i	−0.946284	+	0.323336i	$0.895195\pi$
$284$	7.92320	+	2.57440i	0.470155	+	0.152763i
$285$	0.316930	−	0.611698i	0.0187733	−	0.0362339i
$286$	−15.7263	+	5.28679i	−0.929915	+	0.312614i
$287$	14.3904	−	14.3904i	0.849437	−	0.849437i
$288$	−1.90234	−	3.73356i	−0.112097	−	0.220002i
$289$	−10.3847	−	14.2933i	−0.610864	−	0.840783i
$290$	14.2433	−	7.13581i	0.836393	−	0.419029i
$291$	−0.388082	−	1.19439i	−0.0227498	−	0.0700165i
$292$	2.83382	−	5.56169i	0.165837	−	0.325473i
$293$	−10.3227	+	1.63496i	−0.603059	+	0.0955151i	−0.450496	−	0.892779i	$-0.648753\pi$
$293$	−10.3227	+	1.63496i	−0.603059	+	0.0955151i	−0.152563	+	0.988294i	$0.548753\pi$
$294$	−1.80160	+	1.30894i	−0.105071	+	0.0763387i
$295$	−0.0432885	+	6.37054i	−0.00252035	+	0.370907i
$296$			17.1729i			0.998154i
$297$	2.93970	−	1.53562i	0.170579	−	0.0891059i
$298$	−27.9567	−	27.9567i	−1.61949	−	1.61949i
$299$	−2.55315	+	7.85778i	−0.147652	+	0.454427i
$300$	−1.72437	−	3.50108i	−0.0995563	−	0.202135i
$301$	4.29511	+	3.12058i	0.247566	+	0.179867i
$302$	−19.9143	−	10.1468i	−1.14594	−	0.583884i
$303$	5.56415	+	2.83508i	0.319652	+	0.162871i
$304$	1.23427	+	0.896752i	0.0707904	+	0.0514323i
$305$	−8.40927	+	11.4105i	−0.481513	+	0.653364i
$306$	3.03395	−	9.33753i	0.173439	−	0.533791i
$307$	8.43379	+	8.43379i	0.481342	+	0.481342i	0.905560	−	0.424218i	$-0.139451\pi$
$307$	8.43379	+	8.43379i	0.481342	+	0.481342i	−0.424218	+	0.905560i	$0.639451\pi$
$308$	5.46109	−	2.85273i	0.311175	−	0.162549i
$309$			7.76340i			0.441645i
$310$	14.5589	+	14.7581i	0.826891	+	0.838206i
$311$	−8.08491	+	5.87403i	−0.458453	+	0.333086i	−0.792924	−	0.609320i	$-0.791442\pi$
$311$	−8.08491	+	5.87403i	−0.458453	+	0.333086i	0.334471	+	0.942406i	$0.391442\pi$
$312$	6.02516	−	0.954291i	0.341107	−	0.0540261i
$313$	−10.5647	+	20.7343i	−0.597151	+	1.17197i	0.372627	+	0.927981i	$0.378457\pi$
$313$	−10.5647	+	20.7343i	−0.597151	+	1.17197i	−0.969777	+	0.243993i	$0.921543\pi$
$314$	−10.4444	−	32.1447i	−0.589414	−	1.81403i
$315$	2.38382	+	4.75816i	0.134313	+	0.268092i
$316$	−0.839973	−	1.15612i	−0.0472522	−	0.0650370i
$317$	4.80041	+	9.42134i	0.269618	+	0.529155i	0.985627	−	0.168936i	$-0.0540330\pi$
$317$	4.80041	+	9.42134i	0.269618	+	0.529155i	−0.716009	+	0.698091i	$0.754033\pi$
$318$	10.7859	−	10.7859i	0.604846	−	0.604846i
$319$	−13.4318	+	4.51544i	−0.752036	+	0.252816i
$320$	−6.21570	+	1.97301i	−0.347468	+	0.110295i
$321$	0.328082	+	0.106600i	0.0183118	+	0.00594985i
$322$	1.70984	−	10.7955i	0.0952859	−	0.601612i
$323$	0.283780	+	1.79171i	0.0157899	+	0.0996936i
$324$	0.742336	−	0.241200i	0.0412409	−	0.0134000i
$325$	14.8457	−	2.14494i	0.823489	−	0.118980i
$326$	−9.13729	+	12.5764i	−0.506068	+	0.696542i
$327$	−3.52409	−	0.558162i	−0.194883	−	0.0308664i
$328$	−15.4924	+	7.89377i	−0.855425	+	0.435861i
$329$	29.6161			1.63279
$330$	3.86085	+	11.7483i	0.212533	+	0.646725i
$331$	22.1360			1.21671			0.608353	−	0.793666i	$-0.291830\pi$
$331$	22.1360			1.21671			0.608353	+	0.793666i	$0.291830\pi$
$332$	−11.6861	+	5.95439i	−0.641361	+	0.326790i
$333$	−8.34124	−	1.32112i	−0.457097	−	0.0723971i
$334$	−9.67303	+	13.3138i	−0.529284	+	0.728498i
$335$	0.0608790	−	0.368166i	0.00332617	−	0.0201150i
$336$	−11.2087	+	3.64192i	−0.611484	+	0.198683i
$337$	−3.96224	−	25.0166i	−0.215837	−	1.36274i	−0.822945	−	0.568121i	$-0.807671\pi$
$337$	−3.96224	−	25.0166i	−0.215837	−	1.36274i	0.607108	−	0.794619i	$-0.292329\pi$
$338$	−1.04347	+	6.58823i	−0.0567575	+	0.358352i
$339$	−14.6537	−	4.76129i	−0.795882	−	0.258598i
$340$	9.12441	+	4.72749i	0.494841	+	0.256384i
$341$	−10.9896	−	14.8076i	−0.595121	−	0.801875i
$342$	−0.363276	+	0.363276i	−0.0196437	+	0.0196437i
$343$	9.00656	+	17.6764i	0.486308	+	0.954434i
$344$	−2.66616	−	3.66966i	−0.143750	−	0.197855i
$345$	5.84385	+	1.94278i	0.314622	+	0.104596i
$346$	−1.94079	−	5.97313i	−0.104337	−	0.321117i
$347$	6.76472	−	13.2765i	0.363149	−	0.712720i	−0.635065	−	0.772459i	$-0.719027\pi$
$347$	6.76472	−	13.2765i	0.363149	−	0.712720i	0.998214	+	0.0597384i	$0.0190266\pi$
$348$	−3.29384	+	0.521693i	−0.176568	+	0.0279657i
$349$	22.6086	−	16.4261i	1.21021	−	0.879268i	0.214958	−	0.976623i	$-0.431038\pi$
$349$	22.6086	−	16.4261i	1.21021	−	0.879268i	0.995250	+	0.0973556i	$0.0310384\pi$
$350$	−18.9538	+	5.87492i	−1.01312	+	0.314028i
$351$			2.99996i			0.160126i
$352$	−13.7037	+	2.31322i	−0.730409	+	0.123295i
$353$	2.87080	+	2.87080i	0.152797	+	0.152797i	0.779366	−	0.626569i	$-0.215541\pi$
$353$	2.87080	+	2.87080i	0.152797	+	0.152797i	−0.626569	+	0.779366i	$0.715541\pi$
$354$	1.46807	−	4.51827i	0.0780273	−	0.240143i
$355$	19.2125	+	14.1591i	1.01969	+	0.751489i
$356$	7.54661	+	5.48293i	0.399969	+	0.290595i
$357$	−12.4860	−	6.36194i	−0.660830	−	0.336710i
$358$	−8.76770	−	4.46736i	−0.463387	−	0.236108i
$359$	−1.36848	−	0.994256i	−0.0722254	−	0.0524748i	0.551087	−	0.834448i	$-0.314213\pi$
$359$	−1.36848	−	0.994256i	−0.0722254	−	0.0524748i	−0.623312	+	0.781973i	$0.714213\pi$
$360$	−0.680763	−	4.49567i	−0.0358794	−	0.236943i
$361$	−5.84199	+	17.9798i	−0.307473	+	0.946305i
$362$	3.28113	+	3.28113i	0.172452	+	0.172452i
$363$	−1.94089	−	10.8274i	−0.101870	−	0.568292i
$364$			5.57303i			0.292106i
$365$	12.7301	−	12.5583i	0.666326	−	0.657332i
$366$	8.55153	−	6.21305i	0.446996	−	0.324761i
$367$	−15.3698	+	2.43434i	−0.802298	+	0.127072i	−0.544100	−	0.839020i	$-0.683129\pi$
$367$	−15.3698	+	2.43434i	−0.802298	+	0.127072i	−0.258198	+	0.966092i	$0.583129\pi$
$368$	−6.19143	+	12.1514i	−0.322751	+	0.633434i
$369$	−2.64233	−	8.13227i	−0.137554	−	0.423349i
$370$	9.93394	−	29.8811i	0.516441	−	1.55344i
$371$	−12.7970	−	17.6136i	−0.664389	−	0.914453i
$372$	−1.97018	−	3.86670i	−0.102149	−	0.200479i
$373$	−14.3005	+	14.3005i	−0.740451	+	0.740451i	−0.972665	−	0.232214i	$-0.925403\pi$
$373$	−14.3005	+	14.3005i	−0.740451	+	0.740451i	0.232214	+	0.972665i	$0.425403\pi$
$374$	−26.5367	−	18.8717i	−1.37218	−	0.975830i
$375$	−1.52354	−	11.0760i	−0.0786751	−	0.571965i
$376$	−24.0649	−	7.81917i	−1.24105	−	0.403243i
$377$	2.00510	−	12.6597i	0.103268	−	0.652008i
$378$	−0.620839	−	3.91982i	−0.0319325	−	0.201614i
$379$	−34.5164	+	11.2151i	−1.77299	+	0.576080i	−0.998409	−	0.0563940i	$-0.982040\pi$
$379$	−34.5164	+	11.2151i	−1.77299	+	0.576080i	−0.774582	+	0.632474i	$0.782040\pi$
$380$	−0.313108	−	0.437173i	−0.0160621	−	0.0224265i
$381$	9.10161	−	12.5273i	0.466289	−	0.641792i
$382$	−25.2481	−	3.99891i	−1.29181	−	0.204602i
$383$	28.8099	−	14.6794i	1.47212	−	0.750081i	0.480222	−	0.877147i	$-0.340556\pi$
$383$	28.8099	−	14.6794i	1.47212	−	0.750081i	0.991894	+	0.127066i	$0.0405560\pi$
$384$	13.2437			0.675838
$385$	17.4241	−	2.81960i	0.888014	−	0.143700i
$386$	−14.3979			−0.732831
$387$	1.98754	−	1.01270i	0.101032	−	0.0514786i
$388$	−0.968177	−	0.153344i	−0.0491517	−	0.00778487i
$389$	2.38300	−	3.27992i	0.120823	−	0.166298i	−0.744321	−	0.667822i	$-0.767227\pi$
$389$	2.38300	−	3.27992i	0.120823	−	0.166298i	0.865144	+	0.501523i	$0.167227\pi$
$390$	−11.0359	−	1.82487i	−0.558824	−	0.0924058i
$391$	−15.4222	+	5.01097i	−0.779933	+	0.253415i
$392$	−0.424816	−	2.68218i	−0.0214564	−	0.135471i
$393$	1.53206	−	9.67307i	0.0772824	−	0.487942i
$394$	18.6776	+	6.06872i	0.940964	+	0.305738i
$395$	−1.23860	−	3.90204i	−0.0623207	−	0.196333i
$396$	−0.0262673	−	2.58862i	−0.00131998	−	0.130083i
$397$	8.18196	−	8.18196i	0.410641	−	0.410641i	−0.471321	−	0.881962i	$-0.656223\pi$
$397$	8.18196	−	8.18196i	0.410641	−	0.410641i	0.881962	+	0.471321i	$0.156223\pi$
$398$	−8.92887	−	17.5239i	−0.447564	−	0.878393i
$399$	0.431011	+	0.593235i	0.0215775	+	0.0296989i
$400$	24.7569	+	0.336467i	1.23784	+	0.0168233i
$401$	4.24315	+	13.0591i	0.211893	+	0.652139i	0.999360	+	0.0357817i	$0.0113921\pi$
$401$	4.24315	+	13.0591i	0.211893	+	0.652139i	−0.787467	+	0.616357i	$0.788608\pi$
$402$	−0.126336	+	0.247949i	−0.00630107	+	0.0123665i
$403$	16.4741	−	2.60924i	0.820634	−	0.129976i
$404$	3.94339	−	2.86504i	0.196191	−	0.142541i
$405$	2.23602	+	0.0151940i	0.111109	+	0.000754994i
$406$			16.9564i			0.841533i
$407$	−12.4622	+	25.0845i	−0.617729	+	1.24339i
$408$	8.46601	+	8.46601i	0.419130	+	0.419130i
$409$	0.827668	−	2.54730i	0.0409256	−	0.125956i	−0.928506	−	0.371317i	$-0.878906\pi$
$409$	0.827668	−	2.54730i	0.0409256	−	0.125956i	0.969432	+	0.245361i	$0.0789064\pi$
$410$	31.5233	−	4.77346i	1.55682	−	0.235744i
$411$	−6.38725	−	4.64061i	−0.315060	−	0.228904i
$412$	5.39917	+	2.75102i	0.265998	+	0.135533i
$413$	−6.04177	−	3.07843i	−0.297296	−	0.151480i
$414$	−3.71535	−	2.69936i	−0.182600	−	0.132666i
$415$	−37.1500	+	5.62548i	−1.82362	+	0.276144i
$416$	3.88454	−	11.9554i	0.190455	−	0.586162i
$417$	−8.69503	−	8.69503i	−0.425798	−	0.425798i
$418$	0.788927	+	1.51027i	0.0385877	+	0.0738699i
$419$		−	2.69341i		−	0.131581i	−0.997833	−	0.0657907i	$-0.979043\pi$
$419$		−	2.69341i		−	0.131581i	0.997833	−	0.0657907i	$-0.0209570\pi$
$420$	4.15385	+	0.0282258i	0.202687	+	0.00137728i
$421$	−1.74806	+	1.27004i	−0.0851951	+	0.0618979i	−0.629567	−	0.776946i	$-0.716768\pi$
$421$	−1.74806	+	1.27004i	−0.0851951	+	0.0618979i	0.544372	+	0.838844i	$0.316768\pi$
$422$	23.9826	−	3.79846i	1.16745	−	0.184906i
$423$	5.64927	−	11.0873i	0.274677	−	0.539084i
$424$	5.74810	+	17.6908i	0.279152	+	0.859142i
$425$	20.5321	+	21.0979i	0.995953	+	1.02340i
$426$	−10.4612	−	14.3987i	−0.506849	−	0.697617i
$427$	−6.84936	−	13.4426i	−0.331464	−	0.650535i
$428$	0.190395	−	0.190395i	0.00920308	−	0.00920308i
$429$	9.49349	+	2.97847i	0.458350	+	0.143802i
$430$	2.51639	+	7.92755i	0.121351	+	0.382300i
$431$	26.8404	+	8.72098i	1.29286	+	0.420075i	0.873091	−	0.487558i	$-0.162112\pi$
$431$	26.8404	+	8.72098i	1.29286	+	0.420075i	0.419766	+	0.907632i	$0.362112\pi$
$432$	−0.774638	+	4.89087i	−0.0372698	+	0.235312i
$433$	−4.01173	−	25.3290i	−0.192791	−	1.21724i	−0.874285	−	0.485412i	$-0.838669\pi$
$433$	−4.01173	−	25.3290i	−0.192791	−	1.21724i	0.681494	−	0.731824i	$-0.261331\pi$
$434$	−20.9855	+	6.81859i	−1.00733	+	0.327303i
$435$	−9.42574	−	1.55862i	−0.451930	−	0.0747299i
$436$	−1.63697	+	2.25309i	−0.0783966	+	0.107904i
$437$	0.838080	+	0.132739i	0.0400908	+	0.00634976i
$438$	−11.8817	+	6.05401i	−0.567728	+	0.289272i
$439$	−3.22433			−0.153889			−0.0769444	−	0.997035i	$-0.524516\pi$
$439$	−3.22433			−0.153889			−0.0769444	+	0.997035i	$0.524516\pi$
$440$	−14.9026	−	2.30916i	−0.710454	−	0.110085i
$441$	1.33547			0.0635940
$442$	26.2435	−	13.3718i	1.24828	−	0.636029i
$443$	4.26507	+	0.675521i	0.202640	+	0.0320950i	0.256929	−	0.966430i	$-0.417289\pi$
$443$	4.26507	+	0.675521i	0.202640	+	0.0320950i	−0.0542893	+	0.998525i	$0.517289\pi$
$444$	−3.87457	+	5.33289i	−0.183879	+	0.253088i
$445$	15.5601	+	21.7256i	0.737620	+	1.02989i
$446$	12.0501	−	3.91533i	0.570591	−	0.185396i
$447$	3.70910	+	23.4184i	0.175435	+	1.10765i
$448$	1.08584	−	6.85571i	0.0513010	−	0.323902i
$449$	21.7447	+	7.06529i	1.02620	+	0.333432i	0.773286	−	0.634058i	$-0.218612\pi$
$449$	21.7447	+	7.06529i	1.02620	+	0.333432i	0.252911	+	0.967489i	$0.418612\pi$
$450$	−1.41606	+	8.21634i	−0.0667535	+	0.387322i
$451$	−28.3582	+	0.287758i	−1.33534	+	0.0135500i
$452$	−8.50396	+	8.50396i	−0.399993	+	0.399993i
$453$	6.08507	+	11.9426i	0.285902	+	0.561114i
$454$	−0.782661	−	1.07724i	−0.0367321	−	0.0505574i
$455$	−5.03667	+	15.1502i	−0.236123	+	0.710253i
$456$	−0.193599	−	0.595836i	−0.00906609	−	0.0279026i
$457$	14.9557	−	29.3523i	0.699600	−	1.37304i	−0.218163	−	0.975912i	$-0.570007\pi$
$457$	14.9557	−	29.3523i	0.699600	−	1.37304i	0.917763	−	0.397129i	$-0.129993\pi$
$458$	−34.3900	+	5.44684i	−1.60694	+	0.254514i
$459$	−4.76342	+	3.46083i	−0.222337	+	0.161538i
$460$	3.42195	−	3.37575i	0.159549	−	0.157395i
$461$			28.2662i			1.31649i	0.752805	+	0.658243i	$0.228700\pi$
$461$			28.2662i			1.31649i	−0.752805	+	0.658243i	$0.771300\pi$
$462$	−13.0208	−	1.92707i	−0.605782	−	0.0896554i
$463$	1.51870	+	1.51870i	0.0705801	+	0.0705801i	0.741516	−	0.670936i	$-0.234107\pi$
$463$	1.51870	+	1.51870i	0.0705801	+	0.0705801i	−0.670936	+	0.741516i	$0.734107\pi$
$464$	6.53788	−	20.1215i	0.303513	−	0.934118i
$465$	−1.86136	−	12.2922i	−0.0863183	−	0.570035i
$466$	−25.0493	−	18.1994i	−1.16038	−	0.843069i
$467$	23.5147	+	11.9813i	1.08813	+	0.554429i	0.903591	−	0.428396i	$-0.140921\pi$
$467$	23.5147	+	11.9813i	1.08813	+	0.554429i	0.184538	+	0.982825i	$0.440921\pi$
$468$	2.08637	+	1.06306i	0.0964424	+	0.0491398i
$469$	0.321333	+	0.233462i	0.0148378	+	0.0107803i
$470$	37.3502	+	27.5262i	1.72284	+	1.26969i
$471$	−6.26356	+	19.2772i	−0.288610	+	0.888249i
$472$	4.09656	+	4.09656i	0.188559	+	0.188559i
$473$	−1.23143	−	7.29509i	−0.0566213	−	0.335429i
$474$			3.05293i			0.140226i
$475$	−0.456082	−	1.47142i	−0.0209265	−	0.0675135i
$476$	−8.84901	+	6.42918i	−0.405594	+	0.294681i
$477$	−9.03501	+	1.43101i	−0.413685	+	0.0655212i
$478$	3.64504	−	7.15379i	0.166720	−	0.327207i
$479$	9.16840	+	28.2174i	0.418915	+	1.28929i	0.908702	+	0.417445i	$0.137074\pi$
$479$	9.16840	+	28.2174i	0.418915	+	1.28929i	−0.489787	+	0.871842i	$0.662926\pi$
$480$	−8.89126	−	2.95589i	−0.405829	−	0.134917i
$481$	−14.8917	−	20.4967i	−0.679005	−	0.934570i
$482$	16.1071	+	31.6120i	0.733659	+	1.43989i
$483$	−4.63495	+	4.63495i	−0.210897	+	0.210897i
$484$	−8.21785	−	2.48695i	−0.373539	−	0.113043i
$485$	−2.49339	−	1.29186i	−0.113219	−	0.0586604i
$486$	−1.58588	−	0.515284i	−0.0719370	−	0.0233738i
$487$	−4.50764	+	28.4601i	−0.204261	+	1.28965i	0.646020	+	0.763320i	$0.276432\pi$
$487$	−4.50764	+	28.4601i	−0.204261	+	1.28965i	−0.850281	+	0.526330i	$0.823568\pi$
$488$	2.01645	+	12.7313i	0.0912803	+	0.576321i
$489$	8.86626	−	2.88082i	0.400946	−	0.130275i
$490$	−0.812365	+	4.91278i	−0.0366989	+	0.221937i
$491$	−3.67658	+	5.06037i	−0.165922	+	0.228371i	−0.883879	−	0.467716i	$-0.845077\pi$
$491$	−3.67658	+	5.06037i	−0.165922	+	0.228371i	0.717958	+	0.696087i	$0.245077\pi$
$492$	−6.59203	−	1.04408i	−0.297192	−	0.0470705i
$493$	22.4146	−	11.4208i	1.00950	−	0.514366i
$494$	−1.54123			−0.0693433
$495$	2.26808	−	7.06087i	0.101942	−	0.317362i
$496$	27.5317			1.23621
$497$	−22.6341	+	11.5326i	−1.01528	+	0.517309i
$498$	27.6746	+	4.38322i	1.24013	+	0.196417i
$499$	25.0423	−	34.4678i	1.12105	−	1.54299i	0.317003	−	0.948425i	$-0.397324\pi$
$499$	25.0423	−	34.4678i	1.12105	−	1.54299i	0.804046	−	0.594567i	$-0.202676\pi$
$500$	−8.24287	−	2.86531i	−0.368633	−	0.128140i
$501$	9.38611	−	3.04973i	0.419340	−	0.136252i
$502$	4.62382	+	29.1937i	0.206371	+	1.30298i
$503$	−5.81512	+	36.7152i	−0.259283	+	1.63705i	0.423119	+	0.906074i	$0.360935\pi$
$503$	−5.81512	+	36.7152i	−0.259283	+	1.63705i	−0.682403	+	0.730976i	$0.739065\pi$
$504$	4.60279	+	1.49554i	0.205024	+	0.0666165i
$505$	13.3094	−	4.22471i	0.592259	−	0.187997i
$506$	−12.2310	+	9.07734i	−0.543732	+	0.403537i
$507$	2.82859	−	2.82859i	0.125622	−	0.125622i
$508$	−5.48707	−	10.7690i	−0.243449	−	0.477796i
$509$	−20.8175	−	28.6528i	−0.922719	−	1.27001i	−0.962633	−	0.270811i	$-0.912708\pi$
$509$	−20.8175	−	28.6528i	−0.922719	−	1.27001i	0.0399132	−	0.999203i	$-0.487292\pi$
$510$	−9.83369	−	19.6283i	−0.435443	−	0.869156i
$511$	5.88161	+	18.1017i	0.260187	+	0.800774i
$512$	0.277360	−	0.544349i	0.0122577	−	0.0240571i
$513$	0.304304	−	0.0481970i	0.0134353	−	0.00212795i
$514$	16.3805	−	11.9012i	0.722515	−	0.524938i
$515$	12.1913	+	12.3581i	0.537214	+	0.544565i
$516$		−	1.74112i		−	0.0766486i
$517$	−29.4774	−	28.8852i	−1.29642	−	1.27037i
$518$	23.6997	+	23.6997i	1.04130	+	1.04130i
$519$	−1.16389	+	3.58210i	−0.0510893	+	0.157237i
$520$	8.09254	−	10.9807i	0.354882	−	0.481537i
$521$	6.19688	+	4.50230i	0.271490	+	0.197249i	0.715197	−	0.698923i	$-0.246337\pi$
$521$	6.19688	+	4.50230i	0.271490	+	0.197249i	−0.443707	+	0.896172i	$0.646337\pi$
$522$	6.34795	+	3.23444i	0.277842	+	0.141568i
$523$	−23.3224	−	11.8833i	−1.01982	−	0.519622i	−0.137610	−	0.990487i	$-0.543942\pi$
$523$	−23.3224	−	11.8833i	−1.01982	−	0.519622i	−0.882205	+	0.470865i	$0.843942\pi$
$524$	−6.18438	−	4.49321i	−0.270166	−	0.196287i
$525$	11.2667	+	3.83081i	0.491718	+	0.167190i
$526$	−10.4365	+	32.1203i	−0.455054	+	1.40051i
$527$	23.1479	+	23.1479i	1.00834	+	1.00834i
$528$	14.7082	+	7.30720i	0.640094	+	0.318005i
$529$		−	15.4150i		−	0.670217i
$530$	0.231763	−	34.1074i	0.0100671	−	1.48153i
$531$	−2.30494	+	1.67463i	−0.100026	+	0.0726729i
$532$	0.565306	−	0.0895356i	0.0245091	−	0.00388186i
$533$	11.6458	−	22.8561i	0.504434	−	0.990007i
$534$	−6.15810	−	18.9527i	−0.266487	−	0.820163i
$535$	0.689657	−	0.345515i	0.0298165	−	0.0149379i
$536$	−0.199465	−	0.274541i	−0.00861559	−	0.0118583i
$537$	2.67909	+	5.25801i	0.115611	+	0.226900i
$538$	−8.96514	+	8.96514i	−0.386514	+	0.386514i
$539$	1.32591	−	4.22615i	0.0571108	−	0.182033i
$540$	0.802915	−	1.54969i	0.0345519	−	0.0666879i
$541$	2.61546	+	0.849815i	0.112447	+	0.0365364i	0.364700	−	0.931125i	$-0.381171\pi$
$541$	2.61546	+	0.849815i	0.112447	+	0.0365364i	−0.252253	+	0.967661i	$0.581171\pi$
$542$	0.941851	−	5.94661i	0.0404560	−	0.255429i
$543$	−0.435317	−	2.74849i	−0.0186813	−	0.117949i
$544$	23.4644	−	7.62404i	1.00603	−	0.326878i
$545$	−6.48633	+	4.64558i	−0.277844	+	0.198995i
$546$	6.99811	−	9.63207i	0.299491	−	0.412215i
$547$	−28.0736	−	4.44642i	−1.20034	−	0.190115i	−0.475929	−	0.879484i	$-0.657888\pi$
$547$	−28.0736	−	4.44642i	−1.20034	−	0.190115i	−0.724411	+	0.689368i	$0.757888\pi$
$548$	−5.49075	+	2.79768i	−0.234553	+	0.119511i
$549$	−6.33901			−0.270542
$550$	24.5950	+	12.6386i	1.04873	+	0.538913i
$551$	−1.31636			−0.0560789
$552$	4.98990	−	2.54248i	0.212384	−	0.108215i
$553$	4.30382	+	0.681658i	0.183017	+	0.0289871i
$554$	−20.3012	+	27.9422i	−0.862514	+	1.18715i
$555$	−15.3526	+	10.9957i	−0.651682	+	0.466742i
$556$	−9.12823	+	2.96594i	−0.387123	+	0.125784i
$557$	3.88443	+	24.5253i	0.164589	+	1.03917i	0.922270	+	0.386546i	$0.126332\pi$
$557$	3.88443	+	24.5253i	0.164589	+	1.03917i	−0.757681	+	0.652625i	$0.773668\pi$
$558$	−1.45032	+	9.15694i	−0.0613968	+	0.387644i
$559$	6.36440	+	2.06792i	0.269185	+	0.0874636i
$560$	−12.1234	+	23.3990i	−0.512306	+	0.988789i
$561$	6.22262	+	18.5100i	0.262719	+	0.781494i
$562$	−1.08416	+	1.08416i	−0.0457326	+	0.0457326i
$563$	−1.40224	−	2.75204i	−0.0590972	−	0.115985i	0.859569	−	0.511020i	$-0.170732\pi$
$563$	−1.40224	−	2.75204i	−0.0590972	−	0.115985i	−0.918666	+	0.395035i	$0.870732\pi$
$564$	−5.70898	−	7.85774i	−0.240391	−	0.330870i
$565$	−30.8034	+	15.4324i	−1.29591	+	0.649245i
$566$	−8.10302	−	24.9385i	−0.340595	−	1.04824i
$567$	−1.08051	+	2.12062i	−0.0453771	+	0.0890576i
$568$	21.4364	−	3.39520i	0.899453	−	0.142459i
$569$	14.2926	−	10.3842i	0.599176	−	0.435327i	−0.246410	−	0.969166i	$-0.579251\pi$
$569$	14.2926	−	10.3842i	0.599176	−	0.435327i	0.845586	+	0.533839i	$0.179251\pi$
$570$	−0.00780590	+	1.14875i	−0.000326953	+	0.0481160i
$571$		−	22.2492i		−	0.931101i	−0.885021	−	0.465550i	$-0.845856\pi$
$571$		−	22.2492i		−	0.931101i	0.885021	−	0.465550i	$-0.154144\pi$
$572$	5.43550	−	5.54694i	0.227270	−	0.231929i
$573$	10.8400	+	10.8400i	0.452848	+	0.452848i
$574$	−10.4866	+	32.2744i	−0.437701	+	1.34711i
$575$	12.3534	−	6.08434i	0.515172	−	0.253734i
$576$	−2.35944	−	1.71423i	−0.0983098	−	0.0714263i
$577$	−11.7738	−	5.99906i	−0.490150	−	0.249744i	0.191404	−	0.981511i	$-0.438696\pi$
$577$	−11.7738	−	5.99906i	−0.490150	−	0.249744i	−0.681555	+	0.731767i	$0.738696\pi$
$578$	26.2495	+	13.3748i	1.09183	+	0.556317i
$579$	6.98539	+	5.07519i	0.290303	+	0.210918i
$580$	−4.42404	+	6.00296i	−0.183698	+	0.249259i
$581$	12.3584	−	38.0351i	0.512711	−	1.57796i
$582$	1.48078	+	1.48078i	0.0613803	+	0.0613803i
$583$	−4.44181	+	30.0124i	−0.183961	+	1.24299i
$584$		−	16.2617i		−	0.672912i
$585$	4.71102	+	4.77548i	0.194777	+	0.197442i
$586$	14.0992	−	10.2437i	0.582434	−	0.423163i
$587$	−9.30510	+	1.47378i	−0.384063	+	0.0608296i	−0.345481	−	0.938426i	$-0.612284\pi$
$587$	−9.30510	+	1.47378i	−0.384063	+	0.0608296i	−0.0385821	+	0.999255i	$0.512284\pi$
$588$	0.473234	−	0.928775i	0.0195159	−	0.0383020i
$589$	−0.529341	−	1.62915i	−0.0218111	−	0.0671278i
$590$	−4.75835	−	9.49779i	−0.195898	−	0.391018i
$591$	−6.92260	−	9.52814i	−0.284758	−	0.391935i
$592$	−18.9856	−	37.2613i	−0.780303	−	1.53143i
$593$	−22.5770	+	22.5770i	−0.927125	+	0.927125i	−0.997519	−	0.0703945i	$-0.977574\pi$
$593$	−22.5770	+	22.5770i	−0.927125	+	0.927125i	0.0703945	+	0.997519i	$0.477574\pi$
$594$	−3.20515	+	4.50698i	−0.131509	+	0.184924i
$595$	−29.8664	+	9.48029i	−1.22440	+	0.388654i
$596$	17.6010	+	5.71891i	0.720964	+	0.234256i
$597$	−1.84509	+	11.6494i	−0.0755145	+	0.476780i
$598$	−2.15522	−	13.6075i	−0.0881333	−	0.556452i
$599$	−6.38085	+	2.07327i	−0.260715	+	0.0847113i	−0.436458	−	0.899725i	$-0.643767\pi$
$599$	−6.38085	+	2.07327i	−0.260715	+	0.0847113i	0.175743	+	0.984436i	$0.443767\pi$
$600$	−8.14349	−	6.08738i	−0.332457	−	0.248516i
$601$	−13.0977	+	18.0274i	−0.534266	+	0.735354i	−0.987773	−	0.155899i	$-0.950173\pi$
$601$	−13.0977	+	18.0274i	−0.534266	+	0.735354i	0.453507	+	0.891253i	$0.350173\pi$
$602$	−8.74382	−	1.38489i	−0.356372	−	0.0564437i
$603$	0.148695	−	0.0757640i	0.00605534	−	0.00308535i
$604$	10.4620			0.425691
$605$	−20.0925	−	14.1877i	−0.816877	−	0.576811i
$606$	−10.4132			−0.423006
$607$	−4.88313	+	2.48808i	−0.198200	+	0.100988i	−0.550274	−	0.834984i	$-0.685477\pi$
$607$	−4.88313	+	2.48808i	−0.198200	+	0.100988i	0.352074	+	0.935972i	$0.385477\pi$
$608$	−1.27511	−	0.201958i	−0.0517127	−	0.00819049i
$609$	5.97707	−	8.22674i	0.242203	−	0.333364i
$610$	3.85600	−	23.3192i	0.156125	−	0.944166i
$611$	35.5032	−	11.5357i	1.43631	−	0.466685i
$612$	0.718932	+	4.53916i	0.0290611	+	0.183485i
$613$	1.10984	−	7.00725i	0.0448260	−	0.283020i	−0.955085	−	0.296331i	$-0.904237\pi$
$613$	1.10984	−	7.00725i	0.0448260	−	0.283020i	0.999911	+	0.0133105i	$0.00423699\pi$
$614$	−18.9151	−	6.14589i	−0.763351	−	0.248028i
$615$	−16.9768	−	8.79590i	−0.684569	−	0.354685i
$616$	9.30248	−	13.0809i	0.374808	−	0.527043i
$617$	−2.89243	+	2.89243i	−0.116445	+	0.116445i	−0.762928	−	0.646483i	$-0.776239\pi$
$617$	−2.89243	+	2.89243i	−0.116445	+	0.116445i	0.646483	+	0.762928i	$0.276239\pi$
$618$	−5.87710	−	11.5345i	−0.236412	−	0.463984i
$619$	−0.605723	−	0.833706i	−0.0243461	−	0.0335095i	0.796670	−	0.604414i	$-0.206593\pi$
$619$	−0.605723	−	0.833706i	−0.0243461	−	0.0335095i	−0.821017	+	0.570904i	$0.806593\pi$
$620$	−9.20834	−	3.06130i	−0.369816	−	0.122945i
$621$	0.851060	+	2.61929i	0.0341519	+	0.105109i
$622$	7.56534	−	14.8478i	0.303343	−	0.595343i
$623$	−28.0932	+	4.44953i	−1.12553	+	0.178267i
$624$	−12.0182	+	8.73174i	−0.481113	+	0.349549i
$625$	−19.8186	−	15.2389i	−0.792744	−	0.609555i
$626$		−	38.8037i		−	1.55091i
$627$	0.149602	−	1.01083i	0.00597455	−	0.0403687i
$628$	11.1871	+	11.1871i	0.446414	+	0.446414i
$629$	15.3658	−	47.2910i	0.612674	−	1.88562i
$630$	−7.14380	−	5.26481i	−0.284616	−	0.209755i
$631$	36.8673	+	26.7857i	1.46766	+	1.06632i	0.981283	+	0.192574i	$0.0616835\pi$
$631$	36.8673	+	26.7857i	1.46766	+	1.06632i	0.486381	+	0.873747i	$0.338317\pi$
$632$	−3.31716	−	1.69018i	−0.131949	−	0.0672316i
$633$	−12.9745	−	6.61086i	−0.515692	−	0.262758i
$634$	−14.2644	−	10.3637i	−0.566512	−	0.411595i
$635$	−5.18398	−	34.2343i	−0.205720	−	1.35855i
$636$	−2.20641	+	6.79062i	−0.0874897	+	0.269266i
$637$	2.83293	+	2.83293i	0.112245	+	0.112245i
$638$	16.5380	−	16.8770i	0.654744	−	0.668168i
$639$			10.6733i			0.422230i
$640$	21.0819	−	20.7973i	0.833334	−	0.822085i
$641$	30.3674	−	22.0632i	1.19944	−	0.871445i	0.205212	−	0.978718i	$-0.434212\pi$
$641$	30.3674	−	22.0632i	1.19944	−	0.871445i	0.994230	+	0.107272i	$0.0342117\pi$
$642$	−0.568147	+	0.0899856i	−0.0224230	+	0.00355145i
$643$	11.0577	−	21.7020i	0.436074	−	0.855844i	−0.563484	−	0.826127i	$-0.690539\pi$
$643$	11.0577	−	21.7020i	0.436074	−	0.855844i	0.999558	−	0.0297172i	$-0.00946066\pi$
$644$	1.58102	+	4.86587i	0.0623007	+	0.191742i
$645$	1.57355	−	4.73322i	0.0619586	−	0.186370i
$646$	−1.77800	−	2.44721i	−0.0699545	−	0.0962841i
$647$	−16.2657	−	31.9232i	−0.639469	−	1.25503i	−0.952284	−	0.305214i	$-0.901272\pi$
$647$	−16.2657	−	31.9232i	−0.639469	−	1.25503i	0.312815	−	0.949814i	$-0.398728\pi$
$648$	1.43786	−	1.43786i	0.0564846	−	0.0564846i
$649$	3.01102	+	8.95669i	0.118193	+	0.351581i
$650$	−20.4331	+	14.4254i	−0.801454	+	0.565811i
$651$	12.5850	+	4.08912i	0.493246	+	0.160265i
$652$	1.13831	−	7.18701i	0.0445797	−	0.281465i
$653$	−4.18222	−	26.4055i	−0.163663	−	1.03333i	−0.923608	−	0.383339i	$-0.874774\pi$
$653$	−4.18222	−	26.4055i	−0.163663	−	1.03333i	0.759945	−	0.649988i	$-0.225226\pi$
$654$	5.65846	−	1.83855i	0.221263	−	0.0718928i
$655$	−12.7514	−	17.8039i	−0.498237	−	0.695657i
$656$	24.8880	−	34.2554i	0.971714	−	1.33745i
$657$	7.89863	+	1.25102i	0.308155	+	0.0488070i
$658$	−44.0020	+	22.4202i	−1.71538	+	0.874029i
$659$	−28.2054			−1.09873			−0.549364	−	0.835583i	$-0.685130\pi$
$659$	−28.2054			−1.09873			−0.549364	+	0.835583i	$0.685130\pi$
$660$	−4.10687	−	4.07943i	−0.159860	−	0.158792i
$661$	−2.49280			−0.0969588			−0.0484794	−	0.998824i	$-0.515438\pi$
$661$	−2.49280			−0.0969588			−0.0484794	+	0.998824i	$0.515438\pi$
$662$	−32.8886	+	16.7576i	−1.27825	+	0.651301i
$663$	−17.4460	−	2.76318i	−0.677548	−	0.107313i
$664$	−20.0839	+	27.6431i	−0.779406	+	1.07276i
$665$	1.61769	+	0.267498i	0.0627315	+	0.0103731i
$666$	13.3931	−	4.35169i	0.518973	−	0.168624i
$667$	−1.84077	−	11.6221i	−0.0712747	−	0.450011i
$668$	1.20505	−	7.60840i	0.0466249	−	0.294378i
$669$	−7.22650	−	2.34803i	−0.279393	−	0.0907802i
$670$	0.188260	+	0.593089i	0.00727314	+	0.0229130i
$671$	−6.29359	+	20.0600i	−0.242961	+	0.774409i
$672$	7.05194	−	7.05194i	0.272034	−	0.272034i
$673$	5.87290	+	11.5262i	0.226384	+	0.444303i	0.976060	−	0.217502i	$-0.0697907\pi$
$673$	5.87290	+	11.5262i	0.226384	+	0.444303i	−0.749676	+	0.661805i	$0.769791\pi$
$674$	24.8251	+	34.1688i	0.956227	+	1.31613i
$675$	3.58325	−	3.48716i	0.137920	−	0.134221i
$676$	−0.964852	−	2.96951i	−0.0371097	−	0.114212i
$677$	−13.6768	+	26.8423i	−0.525643	+	1.03163i	0.463695	+	0.885995i	$0.346523\pi$
$677$	−13.6768	+	26.8423i	−0.525643	+	1.03163i	−0.989338	+	0.145638i	$0.953477\pi$
$678$	25.3762	−	4.01919i	0.974567	−	0.154356i
$679$	2.41813	−	1.75688i	0.0927994	−	0.0674227i
$680$	26.7713	+	0.181914i	1.02663	+	0.00697607i
$681$			0.798529i			0.0305997i
$682$	27.5375	+	13.6809i	1.05447	+	0.523869i
$683$	−18.8956	−	18.8956i	−0.723021	−	0.723021i	0.246198	−	0.969219i	$-0.420819\pi$
$683$	−18.8956	−	18.8956i	−0.723021	−	0.723021i	−0.969219	+	0.246198i	$0.920819\pi$
$684$	0.0743129	−	0.228711i	0.00284142	−	0.00874500i
$685$	−17.4549	+	2.64314i	−0.666919	+	0.100989i
$686$	−26.7630	−	19.4444i	−1.02181	−	0.742392i
$687$	18.6050	+	9.47970i	0.709823	+	0.361673i
$688$	9.84198	+	5.01474i	0.375222	+	0.191185i
$689$	−22.2015	−	16.1303i	−0.845810	−	0.614517i
$690$	−10.1532	+	1.53747i	−0.386527	+	0.0585304i
$691$	−11.9779	+	36.8641i	−0.455660	+	1.40238i	0.414698	+	0.909959i	$0.363887\pi$
$691$	−11.9779	+	36.8641i	−0.455660	+	1.40238i	−0.870358	+	0.492419i	$0.836113\pi$
$692$	2.07879	+	2.07879i	0.0790237	+	0.0790237i
$693$	5.63801	+	5.52473i	0.214170	+	0.209867i
$694$			24.8466i			0.943165i
$695$	−27.4955	−	0.186835i	−1.04296	−	0.00708704i
$696$	−7.02876	+	5.10669i	−0.266424	+	0.193569i
$697$	49.7263	−	7.87588i	1.88352	−	0.298320i
$698$	−21.1556	+	41.5203i	−0.800753	+	1.57157i
$699$	5.73793	+	17.6595i	0.217028	+	0.667945i
$700$	6.65662	−	6.47810i	0.251596	−	0.244849i
$701$	16.3481	+	22.5013i	0.617460	+	0.849861i	0.997165	−	0.0752465i	$-0.0239744\pi$
$701$	16.3481	+	22.5013i	0.617460	+	0.849861i	−0.379705	+	0.925108i	$0.623974\pi$
$702$	−2.27105	−	4.45719i	−0.0857153	−	0.168226i
$703$	−1.83985	+	1.83985i	−0.0693914	+	0.0693914i
$704$	−7.76727	+	5.76457i	−0.292740	+	0.217260i
$705$	−8.41830	−	26.5207i	−0.317051	−	0.998827i
$706$	−6.43856	−	2.09201i	−0.242318	−	0.0787340i
$707$	−2.32505	+	14.6798i	−0.0874425	+	0.552090i
$708$	0.347879	+	2.19642i	0.0130741	+	0.0825465i
$709$	−43.6776	+	14.1917i	−1.64035	+	0.532981i	−0.976616	−	0.214990i	$-0.931028\pi$
$709$	−43.6776	+	14.1917i	−1.64035	+	0.532981i	−0.663731	+	0.747971i	$0.731028\pi$
$710$	−39.2637	−	6.49255i	−1.47354	−	0.243661i
$711$	1.07615	−	1.48119i	0.0403586	−	0.0555489i
$712$	24.0023	+	3.80159i	0.899524	+	0.142471i
$713$	13.6435	−	6.95169i	0.510952	−	0.260343i
$714$	23.3672			0.874497
$715$	19.7894	−	10.1669i	0.740083	−	0.380221i
$716$	4.60611			0.172138
$717$	−4.29014	+	2.18594i	−0.160218	+	0.0816353i
$718$	2.78589	+	0.441241i	0.103968	+	0.0164670i
$719$	−17.3847	+	23.9280i	−0.648340	+	0.892364i	−0.999026	−	0.0441292i	$-0.985949\pi$
$719$	−17.3847	+	23.9280i	−0.648340	+	0.892364i	0.350685	+	0.936493i	$0.385949\pi$
$720$	6.44732	+	9.00197i	0.240277	+	0.335484i
$721$	−17.5728	+	5.70974i	−0.654444	+	0.212642i
$722$	−4.93146	−	31.1360i	−0.183530	−	1.15876i
$723$	3.32843	−	21.0149i	0.123785	−	0.781551i
$724$	−2.06573	−	0.671197i	−0.0767723	−	0.0249448i
$725$	−17.4519	+	12.3207i	−0.648148	+	0.457580i
$726$	11.0803	+	14.6175i	0.411229	+	0.542507i
$727$	10.3892	−	10.3892i	0.385314	−	0.385314i	−0.487698	−	0.873012i	$-0.662163\pi$
$727$	10.3892	−	10.3892i	0.385314	−	0.385314i	0.873012	+	0.487698i	$0.162163\pi$
$728$	6.59139	+	12.9363i	0.244293	+	0.479452i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−9.40682	+	28.2955i	−0.348162	+	1.04726i
$731$	4.05862	+	12.4912i	0.150114	+	0.462002i
$732$	−2.24627	+	4.40856i	−0.0830246	+	0.162945i
$733$	−18.3517	+	2.90662i	−0.677836	+	0.107359i	−0.485854	−	0.874040i	$-0.661491\pi$
$733$	−18.3517	+	2.90662i	−0.677836	+	0.107359i	−0.191981	+	0.981399i	$0.561491\pi$
$734$	20.9928	−	15.2522i	0.774859	−	0.562968i
$735$	2.12587	−	2.09717i	0.0784138	−	0.0773554i
$736$		−	11.5404i		−	0.425384i
$737$	−0.0921280	−	0.545772i	−0.00339358	−	0.0201038i
$738$	10.0822	+	10.0822i	0.371130	+	0.371130i
$739$	−5.27011	+	16.2197i	−0.193864	+	0.596653i	0.806124	+	0.591747i	$0.201562\pi$
$739$	−5.27011	+	16.2197i	−0.193864	+	0.596653i	−0.999988	+	0.00490568i	$0.998438\pi$
$740$	2.20683	+	14.5736i	0.0811246	+	0.535736i
$741$	0.747758	+	0.543278i	0.0274696	+	0.0199578i
$742$	32.3471	+	16.4817i	1.18750	+	0.605062i
$743$	1.26823	+	0.646197i	0.0465270	+	0.0237067i	0.477099	−	0.878849i	$-0.341688\pi$
$743$	1.26823	+	0.646197i	0.0465270	+	0.0237067i	−0.430572	+	0.902556i	$0.641688\pi$
$744$	−9.14653	−	6.64534i	−0.335328	−	0.243630i
$745$	42.6795	+	31.4538i	1.56366	+	1.15238i
$746$	10.4211	−	32.0728i	0.381543	−	1.17427i
$747$	−11.8818	−	11.8818i	−0.434731	−	0.434731i
$748$	15.0781	+	2.23155i	0.551310	+	0.0815935i
$749$			0.821028i			0.0299997i
$750$	10.6485	+	15.3029i	0.388827	+	0.558782i
$751$	−2.65537	+	1.92924i	−0.0968958	+	0.0703989i	−0.635178	−	0.772366i	$-0.719073\pi$
$751$	−2.65537	+	1.92924i	−0.0968958	+	0.0703989i	0.538282	+	0.842765i	$0.319073\pi$
$752$	60.8600	−	9.63928i	2.21934	−	0.351508i
$753$	8.04732	−	15.7937i	0.293261	−	0.575556i
$754$	6.60466	+	20.3271i	0.240528	+	0.740268i
$755$	28.4407	+	9.45508i	1.03506	+	0.344106i
$756$	1.09193	+	1.50291i	0.0397131	+	0.0546604i
$757$	−5.24633	−	10.2965i	−0.190681	−	0.374233i	0.775797	−	0.630983i	$-0.217348\pi$
$757$	−5.24633	−	10.2965i	−0.190681	−	0.374233i	−0.966478	+	0.256750i	$0.917348\pi$
$758$	42.7926	−	42.7926i	1.55430	−	1.55430i
$759$	9.13381	−	0.0926829i	0.331536	−	0.00336418i
$760$	−1.24385	−	0.644459i	−0.0451194	−	0.0233770i
$761$	1.17257	+	0.380991i	0.0425056	+	0.0138109i	0.330193	−	0.943914i	$-0.392886\pi$
$761$	1.17257	+	0.380991i	0.0425056	+	0.0138109i	−0.287687	+	0.957724i	$0.592886\pi$
$762$	−4.03921	+	25.5026i	−0.146325	+	0.923860i
$763$	−1.32844	−	8.38744i	−0.0480927	−	0.303646i
$764$	11.3801	−	3.69761i	0.411717	−	0.133775i
$765$	−2.14789	+	12.9894i	−0.0776572	+	0.469632i
$766$	−31.6916	+	43.6197i	−1.14506	+	1.57604i
$767$	−8.44184	−	1.33706i	−0.304817	−	0.0482783i
$768$	−14.4796	+	7.37774i	−0.522489	+	0.266221i
$769$	15.6706			0.565097			0.282548	−	0.959253i	$-0.408820\pi$
$769$	15.6706			0.565097			0.282548	+	0.959253i	$0.408820\pi$
$770$	−23.7533	+	17.3797i	−0.856009	+	0.626322i
$771$	−12.1424			−0.437299
$772$	6.00493	−	3.05967i	0.216122	−	0.110120i
$773$	−43.2281	−	6.84665i	−1.55480	−	0.246257i	−0.680908	−	0.732369i	$-0.738415\pi$
$773$	−43.2281	−	6.84665i	−1.55480	−	0.246257i	−0.873897	+	0.486112i	$0.838415\pi$
$774$	−2.18634	+	3.00924i	−0.0785865	+	0.108165i
$775$	−22.2661	−	16.6442i	−0.799821	−	0.597878i
$776$	−2.42873	+	0.789143i	−0.0871864	+	0.0283286i
$777$	−3.14431	−	19.8524i	−0.112801	−	0.712200i
$778$	−1.05755	+	6.67713i	−0.0379151	+	0.239387i
$779$	−2.50553	−	0.814095i	−0.0897698	−	0.0291680i
$780$	4.99056	−	1.58412i	0.178691	−	0.0567206i
$781$	33.7761	+	10.5969i	1.20860	+	0.379185i
$782$	19.1200	−	19.1200i	0.683731	−	0.683731i
$783$	−1.93970	−	3.80688i	−0.0693193	−	0.136047i
$784$	3.88705	+	5.35007i	0.138823	+	0.191074i
$785$	20.3016	+	40.5224i	0.724594	+	1.44631i
$786$	5.04651	+	15.5316i	0.180003	+	0.553992i
$787$	−14.7856	+	29.0184i	−0.527051	+	1.03440i	0.462008	+	0.886876i	$0.347129\pi$
$787$	−14.7856	+	29.0184i	−0.527051	+	1.03440i	−0.989059	+	0.147520i	$0.952871\pi$
$788$	−9.07955	+	1.43806i	−0.323446	+	0.0512288i
$789$	16.3858	−	11.9050i	0.583348	−	0.423827i
$790$	4.79419	+	4.85979i	0.170570	+	0.172904i
$791$		−	36.6711i		−	1.30387i
$792$	−3.12261	−	5.97773i	−0.110957	−	0.212409i
$793$	−13.4469	−	13.4469i	−0.477514	−	0.477514i
$794$	−5.96238	+	18.3503i	−0.211597	+	0.651228i
$795$	−12.1352	+	16.4662i	−0.430390	+	0.583994i
$796$	7.44795	+	5.41126i	0.263986	+	0.191797i
$797$	−28.0345	−	14.2843i	−0.993033	−	0.505976i	−0.119549	−	0.992828i	$-0.538145\pi$
$797$	−28.0345	−	14.2843i	−0.993033	−	0.505976i	−0.873484	+	0.486852i	$0.838145\pi$
$798$	−1.08947	−	0.555112i	−0.0385668	−	0.0196507i
$799$	59.2741	+	43.0651i	2.09697	+	1.52353i
$800$	−18.7953	+	9.25714i	−0.664515	+	0.327289i
$801$	−3.69303	+	11.3660i	−0.130487	+	0.401597i
$802$	−16.1903	−	16.1903i	−0.571700	−	0.571700i
$803$	11.8009	−	23.7534i	0.416446	−	0.838241i
$804$		−	0.130260i		−	0.00459391i
$805$	−0.0995935	+	14.6566i	−0.00351021	+	0.516579i
$806$	−22.5011	+	16.3480i	−0.792568	+	0.575834i
$807$	7.50978	−	1.18943i	0.264357	−	0.0418700i
$808$	5.76497	−	11.3144i	0.202811	−	0.398039i
$809$	10.9348	+	33.6540i	0.384448	+	1.18321i	0.936880	+	0.349652i	$0.113700\pi$
$809$	10.9348	+	33.6540i	0.384448	+	1.18321i	−0.552432	+	0.833558i	$0.686300\pi$
$810$	−3.33366	+	1.67015i	−0.117133	+	0.0586831i
$811$	4.80671	+	6.61588i	0.168787	+	0.232315i	0.885028	−	0.465538i	$-0.154139\pi$
$811$	4.80671	+	6.61588i	0.168787	+	0.232315i	−0.716241	+	0.697853i	$0.754139\pi$
$812$	−3.60339	−	7.07204i	−0.126454	−	0.248180i
$813$	−2.55311	+	2.55311i	−0.0895417	+	0.0895417i
$814$	−0.473911	−	46.7035i	−0.0166106	−	1.63696i
$815$	9.58980	−	18.5090i	0.335916	−	0.648343i
$816$	−27.7290	−	9.00969i	−0.970708	−	0.315402i
$817$	0.107512	−	0.678801i	0.00376135	−	0.0237482i
$818$	0.698668	+	4.41121i	0.0244283	+	0.154234i
$819$	−6.79053	+	2.20638i	−0.237280	+	0.0770971i
$820$	−12.1331	+	8.68985i	−0.423705	+	0.303463i
$821$	2.11373	−	2.90931i	0.0737698	−	0.101535i	−0.770538	−	0.637395i	$-0.780012\pi$
$821$	2.11373	−	2.90931i	0.0737698	−	0.101535i	0.844307	+	0.535859i	$0.180012\pi$
$822$	13.0029	+	2.05946i	0.453529	+	0.0718319i
$823$	6.27832	−	3.19896i	0.218848	−	0.111509i	−0.341130	−	0.940016i	$-0.610810\pi$
$823$	6.27832	−	3.19896i	0.218848	−	0.111509i	0.559978	+	0.828507i	$0.310810\pi$
$824$	15.7865			0.549948
$825$	−7.47766	−	14.8015i	−0.260339	−	0.515322i
$826$	11.3070			0.393421
$827$	−37.8139	+	19.2672i	−1.31492	+	0.669985i	−0.963870	−	0.266372i	$-0.914175\pi$
$827$	−37.8139	+	19.2672i	−1.31492	+	0.669985i	−0.351049	+	0.936357i	$0.614175\pi$
$828$	2.12321	+	0.336283i	0.0737865	+	0.0116866i
$829$	−7.54028	+	10.3783i	−0.261885	+	0.360454i	−0.919629	−	0.392788i	$-0.871511\pi$
$829$	−7.54028	+	10.3783i	−0.261885	+	0.360454i	0.657744	+	0.753241i	$0.271511\pi$
$830$	50.9369	−	36.4816i	1.76804	−	1.26629i
$831$	19.6990	−	6.40059i	0.683351	−	0.222034i
$832$	−1.36867	−	8.64145i	−0.0474501	−	0.299588i
$833$	−1.23007	+	7.76634i	−0.0426193	+	0.269088i
$834$	19.5010	+	6.33626i	0.675265	+	0.219407i
$835$	10.1521	−	19.5943i	0.351327	−	0.678087i
$836$	−0.649985	−	0.462238i	−0.0224802	−	0.0159868i
$837$	3.93143	−	3.93143i	0.135890	−	0.135890i
$838$	2.03898	+	4.00172i	0.0704354	+	0.138237i
$839$	0.908596	+	1.25058i	0.0313682	+	0.0431747i	0.824413	−	0.565989i	$-0.191505\pi$
$839$	0.908596	+	1.25058i	0.0313682	+	0.0431747i	−0.793045	+	0.609163i	$0.791505\pi$
$840$	9.67545	−	4.84736i	0.333835	−	0.167250i
$841$	−3.32046	−	10.2193i	−0.114499	−	0.352391i
$842$	1.63572	−	3.21028i	0.0563707	−	0.110634i
$843$	0.908164	−	0.143839i	0.0312788	−	0.00495408i
$844$	−9.19524	+	6.68073i	−0.316513	+	0.229960i
$845$	0.0607793	−	8.94457i	0.00209087	−	0.307703i
$846$			20.7496i			0.713387i
$847$	23.0808	−	12.3565i	0.793066	−	0.424575i
$848$	−32.0302	−	32.0302i	−1.09992	−	1.09992i
$849$	−4.85940	+	14.9557i	−0.166774	+	0.513278i
$850$	−46.4772	−	15.8028i	−1.59415	−	0.542032i
$851$	−18.8168	−	13.6712i	−0.645033	−	0.468644i
$852$	7.42292	+	3.78217i	0.254305	+	0.129575i
$853$	13.7075	+	6.98430i	0.469334	+	0.239138i	0.672629	−	0.739980i	$-0.265165\pi$
$853$	13.7075	+	6.98430i	0.469334	+	0.239138i	−0.203295	+	0.979118i	$0.565165\pi$
$854$	20.3529	+	14.7872i	0.696461	+	0.506008i
$855$	0.408718	−	0.554588i	0.0139779	−	0.0189665i
$856$	0.216766	−	0.667137i	0.00740891	−	0.0228023i
$857$	−4.15409	−	4.15409i	−0.141901	−	0.141901i	0.632588	−	0.774489i	$-0.281993\pi$
$857$	−4.15409	−	4.15409i	−0.141901	−	0.141901i	−0.774489	+	0.632588i	$0.781993\pi$
$858$	−16.3597	+	2.76157i	−0.558511	+	0.0942784i
$859$		−	39.4162i		−	1.34486i	−0.740159	−	0.672432i	$-0.765250\pi$
$859$		−	39.4162i		−	1.34486i	0.740159	−	0.672432i	$-0.234750\pi$
$860$	−2.73419	−	2.77160i	−0.0932350	−	0.0945107i
$861$	16.4644	−	11.9621i	0.561104	−	0.407666i
$862$	−46.4801	+	7.36173i	−1.58312	+	0.250741i
$863$	9.77985	−	19.1940i	0.332910	−	0.653373i	−0.662501	−	0.749061i	$-0.730505\pi$
$863$	9.77985	−	19.1940i	0.332910	−	0.653373i	0.995411	+	0.0956880i	$0.0305051\pi$
$864$	−1.29486	−	3.98518i	−0.0440522	−	0.135579i
$865$	3.77244	+	7.52988i	0.128267	+	0.256024i
$866$	25.1352	+	34.5956i	0.854128	+	1.17561i
$867$	−8.02088	−	15.7419i	−0.272403	−	0.534621i
$868$	7.30343	−	7.30343i	0.247895	−	0.247895i
$869$	−3.61883	−	4.87608i	−0.122761	−	0.165410i
$870$	15.1842	−	4.81982i	0.514792	−	0.163407i
$871$	0.476144	+	0.154709i	0.0161335	+	0.00524210i
$872$	−1.13499	+	7.16606i	−0.0384357	+	0.242673i
$873$	−0.196460	−	1.24040i	−0.00664915	−	0.0419811i
$874$	−1.34566	+	0.437232i	−0.0455177	+	0.0147896i
$875$	23.9506	−	11.5947i	0.809677	−	0.391971i
$876$	3.66898	−	5.04991i	0.123963	−	0.170621i
$877$	2.58057	+	0.408722i	0.0871396	+	0.0138016i	0.199852	−	0.979826i	$-0.435954\pi$
$877$	2.58057	+	0.408722i	0.0871396	+	0.0138016i	−0.112712	+	0.993628i	$0.535954\pi$
$878$	4.79054	−	2.44090i	0.161673	−	0.0823765i
$879$	−10.4514			−0.352516
$880$	34.8882	−	11.4653i	1.17608	−	0.386495i
$881$	−31.3336			−1.05566			−0.527828	−	0.849351i	$-0.676993\pi$
$881$	−31.3336			−1.05566			−0.527828	+	0.849351i	$0.676993\pi$
$882$	−1.98418	+	1.01099i	−0.0668108	+	0.0340418i
$883$	12.2923	+	1.94692i	0.413670	+	0.0655190i	0.359801	−	0.933029i	$-0.382845\pi$
$883$	12.2923	+	1.94692i	0.413670	+	0.0655190i	0.0538693	+	0.998548i	$0.482845\pi$
$884$	−8.10382	+	11.1540i	−0.272561	+	0.375148i
$885$	−1.03933	+	6.28534i	−0.0349366	+	0.211279i
$886$	−6.84821	+	2.22512i	−0.230070	+	0.0747544i
$887$	−2.61111	−	16.4859i	−0.0876725	−	0.553542i	−0.991953	−	0.126604i	$-0.959592\pi$
$887$	−2.61111	−	16.4859i	−0.0876725	−	0.553542i	0.904281	−	0.426938i	$-0.140408\pi$
$888$	−2.68643	+	16.9615i	−0.0901508	+	0.569190i
$889$	35.0500	+	11.3884i	1.17554	+	0.381955i
$890$	−39.5653	−	20.4993i	−1.32623	−	0.687139i
$891$	3.14374	−	1.05685i	0.105319	−	0.0354057i
$892$	−4.19373	+	4.19373i	−0.140417	+	0.140417i
$893$	−1.74052	−	3.41597i	−0.0582444	−	0.114311i
$894$	−23.2391	−	31.9859i	−0.777232	−	1.06977i
$895$	12.5216	+	4.16281i	0.418553	+	0.139147i
$896$	9.74029	+	29.9775i	0.325400	+	1.00148i
$897$	−3.75094	+	7.36164i	−0.125240	+	0.245798i
$898$	−37.6558	+	5.96409i	−1.25659	+	0.199024i
$899$	−19.2182	+	13.9628i	−0.640961	+	0.465686i
$900$	−1.15545	−	3.72773i	−0.0385149	−	0.124258i
$901$		−	53.8605i		−	1.79435i
$902$	41.9154	−	21.8955i	1.39563	−	0.729040i
$903$	3.75407	+	3.75407i	0.124928	+	0.124928i
$904$	−9.68182	+	29.7976i	−0.322013	+	0.991053i
$905$	−5.00907	−	3.69156i	−0.166507	−	0.122712i
$906$	−18.0818	−	13.1372i	−0.600727	−	0.436454i
$907$	16.5144	+	8.41448i	0.548350	+	0.279398i	0.706137	−	0.708075i	$-0.250436\pi$
$907$	16.5144	+	8.41448i	0.548350	+	0.279398i	−0.157787	+	0.987473i	$0.550436\pi$
$908$	0.555349	+	0.282964i	0.0184299	+	0.00939050i
$909$	5.05214	+	3.67060i	0.167569	+	0.121746i
$910$	−3.98589	−	26.3223i	−0.132131	−	0.872576i
$911$	−8.29645	+	25.5338i	−0.274874	+	0.845974i	0.714379	+	0.699759i	$0.246709\pi$
$911$	−8.29645	+	25.5338i	−0.274874	+	0.845974i	−0.989253	+	0.146215i	$0.953291\pi$
$912$	1.07879	+	1.07879i	0.0357225	+	0.0357225i
$913$	−49.3969	+	25.8036i	−1.63480	+	0.853976i
$914$			54.9320i			1.81699i
$915$	−10.0907	+	9.95452i	−0.333589	+	0.329086i
$916$	13.1856	−	9.57989i	0.435664	−	0.316528i
$917$	23.0222	−	3.64635i	0.760259	−	0.120413i
$918$	4.45731	−	8.74796i	0.147113	−	0.288726i
$919$	−1.20019	−	3.69382i	−0.0395907	−	0.121848i	0.929308	−	0.369306i	$-0.120405\pi$
$919$	−1.20019	−	3.69382i	−0.0395907	−	0.121848i	−0.968899	+	0.247458i	$0.920405\pi$
$920$	3.95054	−	11.8832i	0.130246	−	0.391776i
$921$	7.01062	+	9.64930i	0.231008	+	0.317955i
$922$	−21.3982	−	41.9964i	−0.704714	−	1.38308i
$923$	−22.6413	+	22.6413i	−0.745247	+	0.745247i
$924$	5.84012	−	1.96330i	0.192126	−	0.0645880i
$925$	−7.17177	+	41.6126i	−0.235807	+	1.36821i
$926$	−3.40611	−	1.10671i	−0.111932	−	0.0363688i
$927$	−1.21446	+	7.66782i	−0.0398882	+	0.251844i
$928$	2.80067	+	17.6828i	0.0919366	+	0.580465i
$929$	−22.1063	+	7.18277i	−0.725284	+	0.235659i	−0.648312	−	0.761374i	$-0.724525\pi$
$929$	−22.1063	+	7.18277i	−0.725284	+	0.235659i	−0.0769712	+	0.997033i	$0.524525\pi$
$930$	12.0710	+	16.8540i	0.395824	+	0.552663i
$931$	0.241847	−	0.332874i	0.00792623	−	0.0109095i
$932$	14.3149	+	2.26725i	0.468899	+	0.0742662i
$933$	−8.90427	+	4.53695i	−0.291513	+	0.148533i
$934$	−44.0070			−1.43995
$935$	38.9728	+	19.6934i	1.27455	+	0.644043i
$936$	6.10026			0.199393
$937$	9.34760	−	4.76284i	0.305373	−	0.155595i	−0.294589	−	0.955624i	$-0.595183\pi$
$937$	9.34760	−	4.76284i	0.305373	−	0.155595i	0.599961	+	0.800029i	$0.295183\pi$
$938$	−0.654158	−	0.103608i	−0.0213590	−	0.00338293i
$939$	−13.6782	+	18.8264i	−0.446370	+	0.614376i
$940$	−21.4273	−	3.54316i	−0.698881	−	0.115565i
$941$	4.36210	−	1.41733i	0.142201	−	0.0462037i	−0.237052	−	0.971497i	$-0.576181\pi$
$941$	4.36210	−	1.41733i	0.142201	−	0.0462037i	0.379253	+	0.925293i	$0.376181\pi$
$942$	−5.28732	−	33.3828i	−0.172270	−	1.08767i
$943$	3.68397	−	23.2596i	0.119966	−	0.757438i
$944$	−13.4176	−	4.35963i	−0.436705	−	0.141894i
$945$	1.61013	+	5.07249i	0.0523775	+	0.165008i
$946$	7.35218	+	9.90644i	0.239040	+	0.322086i
$947$	31.9809	−	31.9809i	1.03924	−	1.03924i	0.0400429	−	0.999198i	$-0.487251\pi$
$947$	31.9809	−	31.9809i	1.03924	−	1.03924i	0.999198	−	0.0400429i	$-0.0127494\pi$
$948$	−0.648774	−	1.27329i	−0.0210712	−	0.0413545i
$949$	14.1015	+	19.4091i	0.457755	+	0.630046i
$950$	1.79153	+	1.84090i	0.0581249	+	0.0597266i
$951$	3.26749	+	10.0563i	0.105956	+	0.326098i
$952$	−12.9367	+	25.3896i	−0.419280	+	0.822883i
$953$	50.3311	−	7.97167i	1.63039	−	0.258228i	0.726867	−	0.686778i	$-0.240976\pi$
$953$	50.3311	−	7.97167i	1.63039	−	0.258228i	0.903518	+	0.428550i	$0.140976\pi$
$954$	12.3404	−	8.96586i	0.399537	−	0.290280i
$955$	34.2783	+	0.232925i	1.10922	+	0.00753727i
$956$			3.75825i			0.121550i
$957$	−13.9728	+	2.35865i	−0.451677	+	0.0762443i
$958$	−34.9833	−	34.9833i	−1.13026	−	1.13026i
$959$	5.80658	−	17.8708i	0.187504	−	0.577079i
$960$	−6.44782	+	0.976369i	−0.208102	+	0.0315122i
$961$	0.0709094	+	0.0515187i	0.00228740	+	0.00166189i
$962$	37.6419	+	19.1795i	1.21362	+	0.618373i
$963$	0.307367	+	0.156611i	0.00990476	+	0.00504673i
$964$	−13.4356	−	9.76156i	−0.432733	−	0.314399i
$965$	19.0895	−	2.89066i	0.614514	−	0.0930536i
$966$	3.37759	−	10.3951i	0.108672	−	0.334458i
$967$	3.81257	+	3.81257i	0.122604	+	0.122604i	0.765747	−	0.643142i	$-0.222370\pi$
$967$	3.81257	+	3.81257i	0.122604	+	0.122604i	−0.643142	+	0.765747i	$0.722370\pi$
$968$	−22.0170	+	3.94670i	−0.707652	+	0.126852i
$969$			1.81405i			0.0582756i
$970$	4.68253	+	0.0318183i	0.150347	+	0.00102162i
$971$	−30.6986	+	22.3038i	−0.985165	+	0.715764i	−0.958857	−	0.283890i	$-0.908375\pi$
$971$	−30.6986	+	22.3038i	−0.985165	+	0.715764i	−0.0263078	+	0.999654i	$0.508375\pi$
$972$	0.770928	−	0.122103i	0.0247275	−	0.00391646i
$973$	13.2866	−	26.0765i	0.425950	−	0.835973i
$974$	−14.8478	−	45.6969i	−0.475755	−	1.46422i
$975$	14.9984	+	0.203841i	0.480334	+	0.00652814i
$976$	−18.4504	−	25.3948i	−0.590584	−	0.812869i
$977$	8.01978	+	15.7397i	0.256575	+	0.503558i	0.982981	−	0.183709i	$-0.0588104\pi$
$977$	8.01978	+	15.7397i	0.256575	+	0.503558i	−0.726405	+	0.687267i	$0.758810\pi$
$978$	−10.9922	+	10.9922i	−0.351491	+	0.351491i
$979$	32.3014	+	22.9712i	1.03236	+	0.734164i
$980$	−0.705193	−	2.22161i	−0.0225266	−	0.0709669i
$981$	−3.39339	−	1.10258i	−0.108343	−	0.0352027i
$982$	1.63163	−	10.3017i	0.0520674	−	0.328741i
$983$	−7.84244	−	49.5152i	−0.250135	−	1.57929i	−0.718354	−	0.695677i	$-0.755104\pi$
$983$	−7.84244	−	49.5152i	−0.250135	−	1.57929i	0.468220	−	0.883612i	$-0.344896\pi$
$984$	−16.5365	+	5.37304i	−0.527165	+	0.171286i
$985$	−25.9823	−	4.29637i	−0.827865	−	0.136894i
$986$	−24.6566	+	33.9368i	−0.785225	+	1.08077i
$987$	29.2515	+	4.63298i	0.931084	+	0.147469i
$988$	0.642804	−	0.327525i	0.0204503	−	0.0104200i
$989$	6.14346			0.195351
$990$	1.97547	+	12.2077i	0.0627846	+	0.387985i
$991$	19.3970			0.616165			0.308082	−	0.951360i	$-0.400313\pi$
$991$	19.3970			0.616165			0.308082	+	0.951360i	$0.400313\pi$
$992$	−20.7582	+	10.5768i	−0.659072	+	0.335814i
$993$	21.8635	+	3.46284i	0.693817	+	0.109890i
$994$	24.8980	−	34.2692i	0.789717	−	1.08695i
$995$	15.3567	+	21.4416i	0.486840	+	0.679744i
$996$	−12.4737	+	4.05296i	−0.395246	+	0.128423i
$997$	1.60027	+	10.1037i	0.0506811	+	0.319988i	0.999984	+	0.00562543i	$0.00179064\pi$
$997$	1.60027	+	10.1037i	0.0506811	+	0.319988i	−0.949303	+	0.314362i	$0.898209\pi$
$998$	−11.1136	+	70.1682i	−0.351793	+	2.22114i
$999$	−8.03188	−	2.60972i	−0.254117	−	0.0825677i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.13.4	✓	96
3.2	odd	2		495.2.bj.c.343.9		96
5.2	odd	4	inner	165.2.w.a.112.4	yes	96
5.3	odd	4		825.2.cw.b.607.9		96
5.4	even	2		825.2.cw.b.343.9		96
11.6	odd	10	inner	165.2.w.a.28.4	yes	96
15.2	even	4		495.2.bj.c.442.9		96
33.17	even	10		495.2.bj.c.28.9		96
55.17	even	20	inner	165.2.w.a.127.4	yes	96
55.28	even	20		825.2.cw.b.457.9		96
55.39	odd	10		825.2.cw.b.193.9		96
165.17	odd	20		495.2.bj.c.127.9		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.13.4	✓	96	1.1	even	1	trivial
165.2.w.a.28.4	yes	96	11.6	odd	10	inner
165.2.w.a.112.4	yes	96	5.2	odd	4	inner
165.2.w.a.127.4	yes	96	55.17	even	20	inner
495.2.bj.c.28.9		96	33.17	even	10
495.2.bj.c.127.9		96	165.17	odd	20
495.2.bj.c.343.9		96	3.2	odd	2
495.2.bj.c.442.9		96	15.2	even	4
825.2.cw.b.193.9		96	55.39	odd	10
825.2.cw.b.343.9		96	5.4	even	2
825.2.cw.b.457.9		96	55.28	even	20
825.2.cw.b.607.9		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)

\(f(q)\)	\(=\)	\(q+(-1.48575 + 0.757027i) q^{2} +(0.987688 + 0.156434i) q^{3} +(0.458789 - 0.631469i) q^{4} +(1.81791 - 1.30201i) q^{5} +(-1.58588 + 0.515284i) q^{6} +(0.372318 + 2.35072i) q^{7} +(0.318101 - 2.00841i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-1.48575 + 0.757027i) q^{2} +(0.987688 + 0.156434i) q^{3} +(0.458789 - 0.631469i) q^{4} +(1.81791 - 1.30201i) q^{5} +(-1.58588 + 0.515284i) q^{6} +(0.372318 + 2.35072i) q^{7} +(0.318101 - 2.00841i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-1.71530 + 3.31066i) q^{10} +(1.92214 - 2.70285i) q^{11} +(0.551924 - 0.551924i) q^{12} +(1.36195 + 2.67299i) q^{13} +(-2.33273 - 3.21073i) q^{14} +(1.99920 - 1.00159i) q^{15} +(1.53020 + 4.70948i) q^{16} +(-2.67306 + 5.24617i) q^{17} +(-1.64696 + 0.260854i) q^{18} +(0.249256 - 0.181095i) q^{19} +(0.0118595 - 1.74530i) q^{20} +2.38003i q^{21} +(-0.809684 + 5.47086i) q^{22} +(1.94743 + 1.94743i) q^{23} +(0.628369 - 1.93392i) q^{24} +(1.60956 - 4.73385i) q^{25} +(-4.04704 - 2.94035i) q^{26} +(0.891007 + 0.453990i) q^{27} +(1.65522 + 0.843379i) q^{28} +(-3.45657 - 2.51135i) q^{29} +(-2.21208 + 3.00156i) q^{30} +(1.71810 - 5.28777i) q^{31} +(-2.96297 - 2.96297i) q^{32} +(2.32129 - 2.36888i) q^{33} -9.81806i q^{34} +(3.73750 + 3.78864i) q^{35} +(0.631469 - 0.458789i) q^{36} +(-8.34124 + 1.32112i) q^{37} +(-0.233238 + 0.457755i) q^{38} +(0.927039 + 2.85313i) q^{39} +(-2.03668 - 4.06527i) q^{40} +(-5.02602 - 6.91772i) q^{41} +(-1.80174 - 3.53612i) q^{42} +(1.57732 - 1.57732i) q^{43} +(-0.824909 - 2.45381i) q^{44} +(2.13127 - 0.676517i) q^{45} +(-4.36766 - 1.41914i) q^{46} +(1.94661 - 12.2904i) q^{47} +(0.774638 + 4.89087i) q^{48} +(1.27011 - 0.412684i) q^{49} +(1.19224 + 8.25179i) q^{50} +(-3.46083 + 4.76342i) q^{51} +(2.31276 + 0.366305i) q^{52} +(-8.15060 + 4.15294i) q^{53} -1.66749 q^{54} +(-0.0248582 - 7.41616i) q^{55} +4.83966 q^{56} +(0.274516 - 0.139873i) q^{57} +(7.03676 + 1.11451i) q^{58} +(-1.67463 + 2.30494i) q^{59} +(0.284738 - 1.72195i) q^{60} +(-6.02876 + 1.95886i) q^{61} +(1.45032 + 9.15694i) q^{62} +(-0.372318 + 2.35072i) q^{63} +(-2.77368 - 0.901224i) q^{64} +(5.95615 + 3.08597i) q^{65} +(-1.65555 + 5.27684i) q^{66} +(0.118005 - 0.118005i) q^{67} +(2.08642 + 4.09483i) q^{68} +(1.61881 + 2.22810i) q^{69} +(-8.42108 - 2.79958i) q^{70} +(3.29824 + 10.1509i) q^{71} +(0.923165 - 1.81181i) q^{72} +(7.89863 - 1.25102i) q^{73} +(11.3929 - 8.27740i) q^{74} +(2.33028 - 4.42377i) q^{75} -0.240481i q^{76} +(7.06930 + 3.51210i) q^{77} +(-3.53725 - 3.53725i) q^{78} +(0.565763 - 1.74124i) q^{79} +(8.91353 + 6.56905i) q^{80} +(0.809017 + 0.587785i) q^{81} +(12.7043 + 6.47316i) q^{82} +(-14.9719 - 7.62857i) q^{83} +(1.50291 + 1.09193i) q^{84} +(1.97117 + 13.0174i) q^{85} +(-1.14943 + 3.53758i) q^{86} +(-3.02116 - 3.02116i) q^{87} +(-4.81700 - 4.72022i) q^{88} +11.9509i q^{89} +(-2.65439 + 2.61856i) q^{90} +(-5.77637 + 4.19678i) q^{91} +(2.12321 - 0.336283i) q^{92} +(2.52414 - 4.95390i) q^{93} +(6.41199 + 19.7341i) q^{94} +(0.217337 - 0.653746i) q^{95} +(-2.46298 - 3.39000i) q^{96} +(-0.570148 - 1.11898i) q^{97} +(-1.57465 + 1.57465i) q^{98} +(2.66329 - 1.97659i) 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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