LMFDB - Embedded newform 273.2.bz.a.73.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 2, 9]))

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

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

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			73.6
Character	$\chi$	$=$	273.73
Dual form			273.2.bz.a.187.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0704795 - 0.263033i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.66783 + 0.962923i) q^{4} +(-2.42785 - 0.650540i) q^{5} +(0.192554 - 0.192554i) q^{6} +(1.21724 + 2.34911i) q^{7} +(0.755936 - 0.755936i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.0704795 - 0.263033i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.66783 + 0.962923i) q^{4} +(-2.42785 - 0.650540i) q^{5} +(0.192554 - 0.192554i) q^{6} +(1.21724 + 2.34911i) q^{7} +(0.755936 - 0.755936i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.342227 + 0.592755i) q^{10} +(0.435358 + 1.62478i) q^{11} +(0.962923 + 1.66783i) q^{12} +(3.50774 - 0.834105i) q^{13} +(0.703685 - 0.154611i) q^{14} +(-1.77731 - 1.77731i) q^{15} +(1.78029 + 3.08355i) q^{16} +(1.60806 - 2.78524i) q^{17} +(0.263033 - 0.0704795i) q^{18} +(-3.80388 - 1.01925i) q^{19} +(-3.42282 - 3.42282i) q^{20} +(-0.120393 + 2.64301i) q^{21} +0.458054 q^{22} +(-4.67914 + 2.70150i) q^{23} +(1.03263 - 0.276692i) q^{24} +(1.14111 + 0.658821i) q^{25} +(0.0278270 - 0.981440i) q^{26} +1.00000i q^{27} +(-0.231859 + 5.09003i) q^{28} +6.19984 q^{29} +(-0.592755 + 0.342227i) q^{30} +(-2.33583 - 8.71743i) q^{31} +(3.00181 - 0.804331i) q^{32} +(-0.435358 + 1.62478i) q^{33} +(-0.619276 - 0.619276i) q^{34} +(-1.42709 - 6.49515i) q^{35} +1.92585i q^{36} +(-3.29329 - 0.882434i) q^{37} +(-0.536191 + 0.928711i) q^{38} +(3.45485 + 1.03152i) q^{39} +(-2.32706 + 1.34353i) q^{40} +(-0.762243 + 0.762243i) q^{41} +(0.686714 + 0.217946i) q^{42} -5.62140i q^{43} +(-0.838432 + 3.12907i) q^{44} +(-0.650540 - 2.42785i) q^{45} +(0.380801 + 1.42117i) q^{46} +(1.68194 - 6.27707i) q^{47} +3.56058i q^{48} +(-4.03664 + 5.71887i) q^{49} +(0.253717 - 0.253717i) q^{50} +(2.78524 - 1.60806i) q^{51} +(6.65351 + 1.98654i) q^{52} +(0.358264 - 0.620531i) q^{53} +(0.263033 + 0.0704795i) q^{54} -4.22793i q^{55} +(2.69593 + 0.855621i) q^{56} +(-2.78463 - 2.78463i) q^{57} +(0.436962 - 1.63076i) q^{58} +(-9.44933 + 2.53194i) q^{59} +(-1.25284 - 4.67566i) q^{60} +(0.943810 - 0.544909i) q^{61} -2.45760 q^{62} +(-1.42577 + 2.22872i) q^{63} +6.27489i q^{64} +(-9.05888 - 0.256848i) q^{65} +(0.396686 + 0.229027i) q^{66} +(-2.12507 + 0.569411i) q^{67} +(5.36395 - 3.09688i) q^{68} -5.40300 q^{69} +(-1.80902 - 0.0824036i) q^{70} +(-6.04224 - 6.04224i) q^{71} +(1.03263 + 0.276692i) q^{72} +(3.98330 - 1.06732i) q^{73} +(-0.464219 + 0.804051i) q^{74} +(0.658821 + 1.14111i) q^{75} +(-5.36278 - 5.36278i) q^{76} +(-3.28684 + 3.00045i) q^{77} +(0.514819 - 0.836039i) q^{78} +(-3.96221 - 6.86275i) q^{79} +(-2.31630 - 8.64453i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.146773 + 0.254218i) q^{82} +(-10.0477 + 10.0477i) q^{83} +(-2.74581 + 4.29217i) q^{84} +(-5.71604 + 5.71604i) q^{85} +(-1.47862 - 0.396194i) q^{86} +(5.36922 + 3.09992i) q^{87} +(1.55733 + 0.899125i) q^{88} +(3.25472 - 12.1468i) q^{89} -0.684454 q^{90} +(6.22918 + 7.22477i) q^{91} -10.4053 q^{92} +(2.33583 - 8.71743i) q^{93} +(-1.53254 - 0.884810i) q^{94} +(8.57218 + 4.94915i) q^{95} +(3.00181 + 0.804331i) q^{96} +(-4.84712 + 4.84712i) q^{97} +(1.21975 + 1.46484i) q^{98} +(-1.18942 + 1.18942i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q - 6 * q^7 + 18 * q^9	$ 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.0704795	−	0.263033i	0.0498366	−	0.185993i	−0.936520	−	0.350613i	$-0.885973\pi$
$2$	0.0704795	−	0.263033i	0.0498366	−	0.185993i	0.986357	+	0.164620i	$0.0526399\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$	1.66783	+	0.962923i	0.833916	+	0.481462i
$5$	−2.42785	−	0.650540i	−1.08577	−	0.290930i	−0.328810	−	0.944396i	$-0.606648\pi$
$5$	−2.42785	−	0.650540i	−1.08577	−	0.290930i	−0.756956	+	0.653466i	$0.773314\pi$
$6$	0.192554	−	0.192554i	0.0786097	−	0.0786097i
$7$	1.21724	+	2.34911i	0.460074	+	0.887880i
$7$	1.21724	+	2.34911i	0.460074	+	0.887880i
$8$	0.755936	−	0.755936i	0.267264	−	0.267264i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−0.342227	+	0.592755i	−0.108222	+	0.187445i
$11$	0.435358	+	1.62478i	0.131265	+	0.489889i	0.999985	−	0.00541479i	$-0.00172359\pi$
$11$	0.435358	+	1.62478i	0.131265	+	0.489889i	−0.868720	+	0.495303i	$0.835057\pi$
$12$	0.962923	+	1.66783i	0.277972	+	0.481462i
$13$	3.50774	−	0.834105i	0.972873	−	0.231339i
$13$	3.50774	−	0.834105i	0.972873	−	0.231339i
$14$	0.703685	−	0.154611i	0.188068	−	0.0413215i
$15$	−1.77731	−	1.77731i	−0.458899	−	0.458899i
$16$	1.78029	+	3.08355i	0.445072	+	0.770887i
$17$	1.60806	−	2.78524i	0.390012	−	0.675521i	−0.602438	−	0.798165i	$-0.705804\pi$
$17$	1.60806	−	2.78524i	0.390012	−	0.675521i	0.992451	+	0.122644i	$0.0391374\pi$
$18$	0.263033	−	0.0704795i	0.0619975	−	0.0166122i
$19$	−3.80388	−	1.01925i	−0.872670	−	0.233831i	−0.205428	−	0.978672i	$-0.565859\pi$
$19$	−3.80388	−	1.01925i	−0.872670	−	0.233831i	−0.667242	+	0.744841i	$0.732525\pi$
$20$	−3.42282	−	3.42282i	−0.765366	−	0.765366i
$21$	−0.120393	+	2.64301i	−0.0262719	+	0.576752i
$22$	0.458054			0.0976574
$23$	−4.67914	+	2.70150i	−0.975667	+	0.563302i	−0.900959	−	0.433904i	$-0.857136\pi$
$23$	−4.67914	+	2.70150i	−0.975667	+	0.563302i	−0.0747079	+	0.997205i	$0.523802\pi$
$24$	1.03263	−	0.276692i	0.210784	−	0.0564795i
$25$	1.14111	+	0.658821i	0.228222	+	0.131764i
$26$	0.0278270	−	0.981440i	0.00545732	−	0.192476i
$27$			1.00000i			0.192450i
$28$	−0.231859	+	5.09003i	−0.0438172	+	0.961926i
$29$	6.19984			1.15128			0.575641	−	0.817703i	$-0.304753\pi$
$29$	6.19984			1.15128			0.575641	+	0.817703i	$0.304753\pi$
$30$	−0.592755	+	0.342227i	−0.108222	+	0.0624818i
$31$	−2.33583	−	8.71743i	−0.419527	−	1.56570i	−0.775592	−	0.631235i	$-0.782548\pi$
$31$	−2.33583	−	8.71743i	−0.419527	−	1.56570i	0.356065	−	0.934461i	$-0.384118\pi$
$32$	3.00181	−	0.804331i	0.530649	−	0.142187i
$33$	−0.435358	+	1.62478i	−0.0757860	+	0.282837i
$34$	−0.619276	−	0.619276i	−0.106205	−	0.106205i
$35$	−1.42709	−	6.49515i	−0.241222	−	1.09788i
$36$			1.92585i			0.320974i
$37$	−3.29329	−	0.882434i	−0.541414	−	0.145071i	−0.0222598	−	0.999752i	$-0.507086\pi$
$37$	−3.29329	−	0.882434i	−0.541414	−	0.145071i	−0.519154	+	0.854681i	$0.673753\pi$
$38$	−0.536191	+	0.928711i	−0.0869817	+	0.150657i
$39$	3.45485	+	1.03152i	0.553218	+	0.165175i
$40$	−2.32706	+	1.34353i	−0.367941	+	0.212431i
$41$	−0.762243	+	0.762243i	−0.119042	+	0.119042i	−0.764118	−	0.645076i	$-0.776826\pi$
$41$	−0.762243	+	0.762243i	−0.119042	+	0.119042i	0.645076	+	0.764118i	$0.276826\pi$
$42$	0.686714	+	0.217946i	0.105962	+	0.0336297i
$43$		−	5.62140i		−	0.857256i	−0.903481	−	0.428628i	$-0.858997\pi$
$43$		−	5.62140i		−	0.857256i	0.903481	−	0.428628i	$-0.141003\pi$
$44$	−0.838432	+	3.12907i	−0.126398	+	0.471725i
$45$	−0.650540	−	2.42785i	−0.0969767	−	0.361922i
$46$	0.380801	+	1.42117i	0.0561460	+	0.209540i
$47$	1.68194	−	6.27707i	0.245335	−	0.915604i	−0.727879	−	0.685706i	$-0.759494\pi$
$47$	1.68194	−	6.27707i	0.245335	−	0.915604i	0.973215	−	0.229899i	$-0.0738395\pi$
$48$			3.56058i			0.513925i
$49$	−4.03664	+	5.71887i	−0.576664	+	0.816982i
$50$	0.253717	−	0.253717i	0.0358810	−	0.0358810i
$51$	2.78524	−	1.60806i	0.390012	−	0.225174i
$52$	6.65351	+	1.98654i	0.922675	+	0.275484i
$53$	0.358264	−	0.620531i	0.0492113	−	0.0852365i	−0.840370	−	0.542012i	$-0.817663\pi$
$53$	0.358264	−	0.620531i	0.0492113	−	0.0852365i	0.889582	+	0.456776i	$0.150996\pi$
$54$	0.263033	+	0.0704795i	0.0357943	+	0.00959105i
$55$		−	4.22793i		−	0.570093i
$56$	2.69593	+	0.855621i	0.360259	+	0.114337i
$57$	−2.78463	−	2.78463i	−0.368834	−	0.368834i
$58$	0.436962	−	1.63076i	0.0573759	−	0.214130i
$59$	−9.44933	+	2.53194i	−1.23020	+	0.329631i	−0.814657	−	0.579944i	$-0.803075\pi$
$59$	−9.44933	+	2.53194i	−1.23020	+	0.329631i	−0.415541	+	0.909574i	$0.636408\pi$
$60$	−1.25284	−	4.67566i	−0.161741	−	0.603625i
$61$	0.943810	−	0.544909i	0.120842	−	0.0697684i	−0.438360	−	0.898799i	$-0.644441\pi$
$61$	0.943810	−	0.544909i	0.120842	−	0.0697684i	0.559203	+	0.829031i	$0.311107\pi$
$62$	−2.45760			−0.312116
$63$	−1.42577	+	2.22872i	−0.179630	+	0.280792i
$64$			6.27489i			0.784361i
$65$	−9.05888	−	0.256848i	−1.12362	−	0.0318581i
$66$	0.396686	+	0.229027i	0.0488287	+	0.0281913i
$67$	−2.12507	+	0.569411i	−0.259619	+	0.0695646i	−0.386281	−	0.922381i	$-0.626240\pi$
$67$	−2.12507	+	0.569411i	−0.259619	+	0.0695646i	0.126662	+	0.991946i	$0.459574\pi$
$68$	5.36395	−	3.09688i	0.650475	−	0.375552i
$69$	−5.40300			−0.650445
$70$	−1.80902	−	0.0824036i	−0.216219	−	0.00984911i
$71$	−6.04224	−	6.04224i	−0.717082	−	0.717082i	0.250925	−	0.968007i	$-0.419265\pi$
$71$	−6.04224	−	6.04224i	−0.717082	−	0.717082i	−0.968007	+	0.250925i	$0.919265\pi$
$72$	1.03263	+	0.276692i	0.121696	+	0.0326084i
$73$	3.98330	−	1.06732i	0.466210	−	0.124921i	−0.0180641	−	0.999837i	$-0.505750\pi$
$73$	3.98330	−	1.06732i	0.466210	−	0.124921i	0.484274	+	0.874916i	$0.339084\pi$
$74$	−0.464219	+	0.804051i	−0.0539644	+	0.0934690i
$75$	0.658821	+	1.14111i	0.0760741	+	0.131764i
$76$	−5.36278	−	5.36278i	−0.615153	−	0.615153i
$77$	−3.28684	+	3.00045i	−0.374571	+	0.341933i
$78$	0.514819	−	0.836039i	0.0582918	−	0.0946628i
$79$	−3.96221	−	6.86275i	−0.445784	−	0.772120i	0.552323	−	0.833630i	$-0.313742\pi$
$79$	−3.96221	−	6.86275i	−0.445784	−	0.772120i	−0.998106	+	0.0615104i	$0.980408\pi$
$80$	−2.31630	−	8.64453i	−0.258970	−	0.966488i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	0.146773	+	0.254218i	0.0162083	+	0.0280736i
$83$	−10.0477	+	10.0477i	−1.10288	+	1.10288i	−0.108822	+	0.994061i	$0.534708\pi$
$83$	−10.0477	+	10.0477i	−1.10288	+	1.10288i	−0.994061	+	0.108822i	$0.965292\pi$
$84$	−2.74581	+	4.29217i	−0.299593	+	0.468314i
$85$	−5.71604	+	5.71604i	−0.619991	+	0.619991i
$86$	−1.47862	−	0.396194i	−0.159443	−	0.0427227i
$87$	5.36922	+	3.09992i	0.575641	+	0.332346i
$88$	1.55733	+	0.899125i	0.166012	+	0.0958470i
$89$	3.25472	−	12.1468i	0.344999	−	1.28756i	−0.547613	−	0.836731i	$-0.684464\pi$
$89$	3.25472	−	12.1468i	0.344999	−	1.28756i	0.892613	−	0.450824i	$-0.148870\pi$
$90$	−0.684454			−0.0721478
$91$	6.22918	+	7.22477i	0.652995	+	0.757362i
$92$	−10.4053			−1.08483
$93$	2.33583	−	8.71743i	0.242214	−	0.903955i
$94$	−1.53254	−	0.884810i	−0.158069	−	0.0912611i
$95$	8.57218	+	4.94915i	0.879487	+	0.507772i
$96$	3.00181	+	0.804331i	0.306370	+	0.0820917i
$97$	−4.84712	+	4.84712i	−0.492151	+	0.492151i	−0.908983	−	0.416833i	$-0.863140\pi$
$97$	−4.84712	+	4.84712i	−0.492151	+	0.492151i	0.416833	+	0.908983i	$0.363140\pi$
$98$	1.21975	+	1.46484i	0.123214	+	0.147971i
$99$	−1.18942	+	1.18942i	−0.119541	+	0.119541i
$100$	1.26879	+	2.19761i	0.126879	+	0.219761i
$101$	7.44718	−	12.8989i	0.741022	−	1.28349i	−0.211009	−	0.977484i	$-0.567675\pi$
$101$	7.44718	−	12.8989i	0.741022	−	1.28349i	0.952031	−	0.306003i	$-0.0989917\pi$
$102$	−0.226671	−	0.845947i	−0.0224438	−	0.0837612i
$103$	8.25935	+	14.3056i	0.813818	+	1.40957i	0.910174	+	0.414227i	$0.135948\pi$
$103$	8.25935	+	14.3056i	0.813818	+	1.40957i	−0.0963555	+	0.995347i	$0.530719\pi$
$104$	2.02110	−	3.28216i	0.198185	−	0.321842i
$105$	2.01168	−	6.33850i	0.196320	−	0.618575i
$106$	−0.137970	−	0.137970i	−0.0134008	−	0.0134008i
$107$	5.10563	+	8.84320i	0.493580	+	0.854905i	0.999973	−	0.00739788i	$-0.00235484\pi$
$107$	5.10563	+	8.84320i	0.493580	+	0.854905i	−0.506393	+	0.862303i	$0.669022\pi$
$108$	−0.962923	+	1.66783i	−0.0926573	+	0.160487i
$109$	3.32206	−	0.890142i	0.318195	−	0.0852601i	−0.0961865	−	0.995363i	$-0.530665\pi$
$109$	3.32206	−	0.890142i	0.318195	−	0.0852601i	0.414382	+	0.910103i	$0.363998\pi$
$110$	−1.11208	−	0.297982i	−0.106033	−	0.0284115i
$111$	−2.41086	−	2.41086i	−0.228828	−	0.228828i
$112$	−5.07656	+	7.93552i	−0.479690	+	0.749836i
$113$	11.1655			1.05036			0.525179	−	0.850992i	$-0.323998\pi$
$113$	11.1655			1.05036			0.525179	+	0.850992i	$0.323998\pi$
$114$	−0.928711	+	0.536191i	−0.0869817	+	0.0502189i
$115$	13.1177	−	3.51487i	1.22323	−	0.327763i
$116$	10.3403	+	5.96997i	0.960072	+	0.554298i
$117$	2.47623	+	2.62074i	0.228927	+	0.242288i
$118$			2.66394i			0.245235i
$119$	8.50025	+	0.387199i	0.779216	+	0.0354945i
$120$	−2.68706			−0.245294
$121$	7.07592	−	4.08528i	0.643265	−	0.371389i
$122$	−0.0768099	−	0.286658i	−0.00695404	−	0.0259528i
$123$	−1.04124	+	0.279000i	−0.0938857	+	0.0251566i
$124$	4.49844	−	16.7884i	0.403972	−	1.50764i
$125$	6.54468	+	6.54468i	0.585374	+	0.585374i
$126$	0.485739	+	0.532104i	0.0432731	+	0.0474036i
$127$		−	7.71529i		−	0.684621i	−0.939587	−	0.342311i	$-0.888790\pi$
$127$		−	7.71529i		−	0.684621i	0.939587	−	0.342311i	$-0.111210\pi$
$128$	7.65411	+	2.05091i	0.676535	+	0.181277i
$129$	2.81070	−	4.86828i	0.247468	−	0.428628i
$130$	−0.706026	+	2.36468i	−0.0619225	+	0.207397i
$131$	−13.7082	+	7.91445i	−1.19769	+	0.691489i	−0.960040	−	0.279862i	$-0.909711\pi$
$131$	−13.7082	+	7.91445i	−1.19769	+	0.691489i	−0.237653	+	0.971350i	$0.576378\pi$
$132$	−2.29064	+	2.29064i	−0.199374	+	0.199374i
$133$	−2.23592	−	10.1764i	−0.193879	−	0.882406i
$134$			0.599096i			0.0517540i
$135$	0.650540	−	2.42785i	0.0559895	−	0.208956i
$136$	−0.889875	−	3.32106i	−0.0763061	−	0.284778i
$137$	5.11589	+	19.0928i	0.437080	+	1.63120i	0.736040	+	0.676938i	$0.236694\pi$
$137$	5.11589	+	19.0928i	0.437080	+	1.63120i	−0.298960	+	0.954266i	$0.596640\pi$
$138$	−0.380801	+	1.42117i	−0.0324159	+	0.120978i
$139$			8.90424i			0.755248i	0.925959	+	0.377624i	$0.123259\pi$
$139$			8.90424i			0.755248i	−0.925959	+	0.377624i	$0.876741\pi$
$140$	3.87418	−	12.2070i	0.327428	−	1.03168i
$141$	4.59513	−	4.59513i	0.386980	−	0.386980i
$142$	−2.01516	+	1.16346i	−0.169109	+	0.0976350i
$143$	2.88236	+	5.33617i	0.241035	+	0.446233i
$144$	−1.78029	+	3.08355i	−0.148357	+	0.256962i
$145$	−15.0523	−	4.03324i	−1.25002	−	0.334942i
$146$		−	1.12297i		−	0.0929373i
$147$	−6.35527	+	2.93437i	−0.524174	+	0.242022i
$148$	−4.64294	−	4.64294i	−0.381647	−	0.381647i
$149$	−2.49306	+	9.30422i	−0.204239	+	0.762232i	0.785441	+	0.618937i	$0.212436\pi$
$149$	−2.49306	+	9.30422i	−0.204239	+	0.762232i	−0.989680	+	0.143295i	$0.954230\pi$
$150$	0.346584	−	0.0928668i	0.0282984	−	0.00758254i
$151$	−1.25143	−	4.67041i	−0.101840	−	0.380072i	0.896127	−	0.443797i	$-0.146369\pi$
$151$	−1.25143	−	4.67041i	−0.101840	−	0.380072i	−0.997968	+	0.0637244i	$0.979702\pi$
$152$	−3.64598	+	2.10501i	−0.295728	+	0.170738i
$153$	3.21612			0.260008
$154$	0.557562	+	1.07602i	0.0449297	+	0.0867081i
$155$			22.6841i			1.82203i
$156$	4.76883	+	5.04715i	0.381812	+	0.404095i
$157$	−2.83742	−	1.63818i	−0.226451	−	0.130741i	0.382483	−	0.923963i	$-0.375069\pi$
$157$	−2.83742	−	1.63818i	−0.226451	−	0.130741i	−0.608934	+	0.793221i	$0.708402\pi$
$158$	−2.08439	+	0.558510i	−0.165825	+	0.0444326i
$159$	0.620531	−	0.358264i	0.0492113	−	0.0284122i
$160$	−7.81117			−0.617527
$161$	−12.0418	−	7.70343i	−0.949024	−	0.607115i
$162$	0.192554	+	0.192554i	0.0151284	+	0.0151284i
$163$	15.6332	+	4.18891i	1.22449	+	0.328101i	0.812432	−	0.583057i	$-0.198143\pi$
$163$	15.6332	+	4.18891i	1.22449	+	0.328101i	0.412058	+	0.911158i	$0.364810\pi$
$164$	−2.00527	+	0.537311i	−0.156586	+	0.0419570i
$165$	2.11396	−	3.66149i	0.164572	−	0.285047i
$166$	1.93473	+	3.35105i	0.150164	+	0.260092i
$167$	9.74251	+	9.74251i	0.753898	+	0.753898i	0.975204	−	0.221306i	$-0.0710321\pi$
$167$	9.74251	+	9.74251i	0.753898	+	0.753898i	−0.221306	+	0.975204i	$0.571032\pi$
$168$	1.90694	+	2.08896i	0.147123	+	0.161167i
$169$	11.6085	−	5.85165i	0.892965	−	0.450127i
$170$	1.10064	+	1.90637i	0.0844156	+	0.146212i
$171$	−1.01925	−	3.80388i	−0.0779437	−	0.290890i
$172$	5.41298	−	9.37555i	0.412736	−	0.714879i
$173$	−9.39739	−	16.2768i	−0.714470	−	1.23750i	−0.963163	−	0.268917i	$-0.913334\pi$
$173$	−9.39739	−	16.2768i	−0.714470	−	1.23750i	0.248693	−	0.968582i	$-0.419999\pi$
$174$	1.19380	−	1.19380i	0.0905019	−	0.0905019i
$175$	−0.158635	+	3.48254i	−0.0119917	+	0.263255i
$176$	−4.23502	+	4.23502i	−0.319226	+	0.319226i
$177$	−9.44933	−	2.53194i	−0.710255	−	0.190312i
$178$	−2.96561	−	1.71220i	−0.222282	−	0.128335i
$179$	16.1863	+	9.34515i	1.20982	+	0.698489i	0.962720	−	0.270501i	$-0.0871894\pi$
$179$	16.1863	+	9.34515i	1.20982	+	0.698489i	0.247099	+	0.968990i	$0.420523\pi$
$180$	1.25284	−	4.67566i	0.0933811	−	0.348503i
$181$	−13.8297			−1.02796			−0.513978	−	0.857803i	$-0.671829\pi$
$181$	−13.8297			−1.02796			−0.513978	+	0.857803i	$0.671829\pi$
$182$	2.33938	−	1.12928i	0.173407	−	0.0837079i
$183$	1.08982			0.0805617
$184$	−1.49497	+	5.57929i	−0.110210	+	0.411311i
$185$	7.42155	+	4.28483i	0.545643	+	0.315027i
$186$	−2.12834	−	1.22880i	−0.156058	−	0.0901000i
$187$	5.22548	+	1.40016i	0.382125	+	0.102390i
$188$	8.84952	−	8.84952i	0.645417	−	0.645417i
$189$	−2.34911	+	1.21724i	−0.170873	+	0.0885413i
$190$	1.90595	−	1.90595i	0.138272	−	0.138272i
$191$	−12.2050	−	21.1397i	−0.883126	−	1.52962i	−0.847847	−	0.530241i	$-0.822102\pi$
$191$	−12.2050	−	21.1397i	−0.883126	−	1.52962i	−0.0352784	−	0.999378i	$-0.511232\pi$
$192$	−3.13744	+	5.43421i	−0.226426	+	0.392181i
$193$	−3.85605	−	14.3910i	−0.277565	−	1.03588i	−0.954103	−	0.299478i	$-0.903188\pi$
$193$	−3.85605	−	14.3910i	−0.277565	−	1.03588i	0.676539	−	0.736407i	$-0.263479\pi$
$194$	0.933331	+	1.61658i	0.0670093	+	0.116063i
$195$	−7.71680	−	4.75188i	−0.552611	−	0.340289i
$196$	−12.2393	+	5.65114i	−0.874234	+	0.403653i
$197$	16.8258	+	16.8258i	1.19879	+	1.19879i	0.974530	+	0.224256i	$0.0719951\pi$
$197$	16.8258	+	16.8258i	1.19879	+	1.19879i	0.224256	+	0.974530i	$0.428005\pi$
$198$	0.229027	+	0.396686i	0.0162762	+	0.0281913i
$199$	−6.38259	+	11.0550i	−0.452450	+	0.783666i	−0.998538	−	0.0540617i	$-0.982783\pi$
$199$	−6.38259	+	11.0550i	−0.452450	+	0.783666i	0.546088	+	0.837728i	$0.316117\pi$
$200$	1.36063	−	0.364581i	0.0962113	−	0.0257798i
$201$	−2.12507	−	0.569411i	−0.149891	−	0.0401632i
$202$	−2.86796	−	2.86796i	−0.201789	−	0.201789i
$203$	7.54670	+	14.5641i	0.529675	+	1.02220i
$204$	6.19376			0.433650
$205$	2.34648	−	1.35474i	0.163885	−	0.0946191i
$206$	4.34497	−	1.16423i	0.302728	−	0.0811158i
$207$	−4.67914	−	2.70150i	−0.325222	−	0.187767i
$208$	8.81680	+	9.33136i	0.611335	+	0.647013i
$209$		−	6.62419i		−	0.458205i
$210$	−1.52545	−	0.975873i	−0.105266	−	0.0673417i
$211$	−21.3715			−1.47127			−0.735637	−	0.677376i	$-0.763117\pi$
$211$	−21.3715			−1.47127			−0.735637	+	0.677376i	$0.763117\pi$
$212$	1.19505	−	0.689961i	0.0820762	−	0.0473867i
$213$	−2.21161	−	8.25385i	−0.151537	−	0.565545i
$214$	2.68590	−	0.719684i	0.183604	−	0.0491966i
$215$	−3.65694	+	13.6479i	−0.249402	+	0.930779i
$216$	0.755936	+	0.755936i	0.0514349	+	0.0514349i
$217$	17.6349	−	16.0983i	1.19714	−	1.09283i
$218$		−	0.936548i		−	0.0634310i
$219$	3.98330	+	1.06732i	0.269167	+	0.0721230i
$220$	4.07117	−	7.05147i	0.274478	−	0.475410i
$221$	3.31748	−	11.1112i	0.223158	−	0.747421i
$222$	−0.804051	+	0.464219i	−0.0539644	+	0.0311563i
$223$	13.5431	−	13.5431i	0.906913	−	0.906913i	−0.0891091	−	0.996022i	$-0.528402\pi$
$223$	13.5431	−	13.5431i	0.906913	−	0.906913i	0.996022	+	0.0891091i	$0.0284020\pi$
$224$	5.54339	+	6.07251i	0.370383	+	0.405737i
$225$			1.31764i			0.0878428i
$226$	0.786937	−	2.93689i	0.0523463	−	0.195359i
$227$	6.60231	+	24.6402i	0.438211	+	1.63543i	0.733263	+	0.679945i	$0.237996\pi$
$227$	6.60231	+	24.6402i	0.438211	+	1.63543i	−0.295052	+	0.955481i	$0.595337\pi$
$228$	−1.96291	−	7.32569i	−0.129997	−	0.485156i
$229$	−4.35250	+	16.2437i	−0.287621	+	1.07342i	0.659282	+	0.751896i	$0.270861\pi$
$229$	−4.35250	+	16.2437i	−0.287621	+	1.07342i	−0.946903	+	0.321520i	$0.895806\pi$
$230$		−	3.69811i		−	0.243846i
$231$	−4.34672	+	0.955043i	−0.285993	+	0.0628372i
$232$	4.68668	−	4.68668i	0.307696	−	0.307696i
$233$	−23.3194	+	13.4634i	−1.52770	+	0.882020i	−0.528245	+	0.849092i	$0.677150\pi$
$233$	−23.3194	+	13.4634i	−1.52770	+	0.882020i	−0.999458	+	0.0329275i	$0.989517\pi$
$234$	0.863866	−	0.466621i	0.0564727	−	0.0305040i
$235$	−8.16696	+	14.1456i	−0.532754	+	0.922757i
$236$	−18.1980	−	4.87613i	−1.18459	−	0.317409i
$237$		−	7.92442i		−	0.514747i
$238$	0.700940	−	2.20856i	0.0454352	−	0.143160i
$239$	1.13268	+	1.13268i	0.0732671	+	0.0732671i	0.742791	−	0.669524i	$-0.233502\pi$
$239$	1.13268	+	1.13268i	0.0732671	+	0.0732671i	−0.669524	+	0.742791i	$0.733502\pi$
$240$	2.31630	−	8.64453i	0.149516	−	0.558002i
$241$	−10.0427	+	2.69094i	−0.646910	+	0.173339i	−0.567331	−	0.823490i	$-0.692024\pi$
$241$	−10.0427	+	2.69094i	−0.646910	+	0.173339i	−0.0795784	+	0.996829i	$0.525357\pi$
$242$	−0.575858	−	2.14913i	−0.0370175	−	0.138151i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	2.09882			0.134363
$245$	13.5207	−	11.2585i	0.863806	−	0.719282i
$246$			0.293545i			0.0187158i
$247$	−14.1932	−	0.402423i	−0.903092	−	0.0256055i
$248$	−8.35555	−	4.82408i	−0.530578	−	0.306329i
$249$	−13.7255	+	3.67773i	−0.869817	+	0.233067i
$250$	2.18273	−	1.26020i	0.138048	−	0.0797022i
$251$	−9.75662			−0.615833			−0.307916	−	0.951413i	$-0.599632\pi$
$251$	−9.75662			−0.615833			−0.307916	+	0.951413i	$0.599632\pi$
$252$	−4.52403	+	2.34422i	−0.284987	+	0.147672i
$253$	−6.42643	−	6.42643i	−0.404026	−	0.404026i
$254$	−2.02938	−	0.543770i	−0.127334	−	0.0341192i
$255$	−7.80825	+	2.09222i	−0.488972	+	0.131020i
$256$	−5.19597	+	8.99969i	−0.324748	+	0.562480i
$257$	−9.84031	−	17.0439i	−0.613822	−	1.06317i	−0.990590	−	0.136863i	$-0.956298\pi$
$257$	−9.84031	−	17.0439i	−0.613822	−	1.06317i	0.376768	−	0.926307i	$-0.377035\pi$
$258$	−1.08242	−	1.08242i	−0.0673886	−	0.0673886i
$259$	−1.93579	−	8.81044i	−0.120284	−	0.547454i
$260$	−14.8614	−	9.15139i	−0.921663	−	0.567545i
$261$	3.09992	+	5.36922i	0.191880	+	0.332346i
$262$	1.11561	+	4.16353i	0.0689228	+	0.257223i
$263$	2.30989	−	4.00084i	0.142434	−	0.246703i	−0.785979	−	0.618253i	$-0.787841\pi$
$263$	2.30989	−	4.00084i	0.142434	−	0.246703i	0.928413	+	0.371551i	$0.121174\pi$
$264$	0.899125	+	1.55733i	0.0553373	+	0.0958470i
$265$	−1.27349	+	1.27349i	−0.0782299	+	0.0782299i
$266$	−2.83432	−	0.129108i	−0.173783	−	0.00791609i
$267$	8.89206	−	8.89206i	0.544185	−	0.544185i
$268$	−4.09256	−	1.09660i	−0.249993	−	0.0669854i
$269$	−3.63092	−	2.09631i	−0.221381	−	0.127814i	0.385209	−	0.922830i	$-0.374129\pi$
$269$	−3.63092	−	2.09631i	−0.221381	−	0.127814i	−0.606590	+	0.795015i	$0.707463\pi$
$270$	−0.592755	−	0.342227i	−0.0360739	−	0.0208273i
$271$	1.55227	−	5.79316i	0.0942938	−	0.351909i	−0.902618	−	0.430443i	$-0.858357\pi$
$271$	1.55227	−	5.79316i	0.0942938	−	0.351909i	0.996911	+	0.0785340i	$0.0250239\pi$
$272$	11.4513			0.694334
$273$	1.78224	+	9.37143i	0.107866	+	0.567185i
$274$	5.38259			0.325174
$275$	−0.573645	+	2.14087i	−0.0345921	+	0.129100i
$276$	−9.01129	−	5.20267i	−0.542416	−	0.313164i
$277$	−15.0666	−	8.69873i	−0.905266	−	0.522656i	−0.0263613	−	0.999652i	$-0.508392\pi$
$277$	−15.0666	−	8.69873i	−0.905266	−	0.522656i	−0.878905	+	0.476997i	$0.841725\pi$
$278$	2.34211	+	0.627567i	0.140470	+	0.0376389i
$279$	6.38160	−	6.38160i	0.382056	−	0.382056i
$280$	−5.98870	−	3.83113i	−0.357893	−	0.228954i
$281$	10.4663	−	10.4663i	0.624370	−	0.624370i	−0.322276	−	0.946646i	$-0.604448\pi$
$281$	10.4663	−	10.4663i	0.624370	−	0.624370i	0.946646	+	0.322276i	$0.104448\pi$
$282$	−0.884810	−	1.53254i	−0.0526896	−	0.0912611i
$283$	−11.8653	+	20.5512i	−0.705316	+	1.22164i	0.261261	+	0.965268i	$0.415862\pi$
$283$	−11.8653	+	20.5512i	−0.705316	+	1.22164i	−0.966577	+	0.256375i	$0.917472\pi$
$284$	−4.25923	−	15.8956i	−0.252739	−	0.943233i
$285$	4.94915	+	8.57218i	0.293162	+	0.507772i
$286$	1.60674	−	0.382065i	0.0950083	−	0.0225920i
$287$	−2.71843	−	0.862759i	−0.160464	−	0.0509271i
$288$	2.19747	+	2.19747i	0.129487	+	0.129487i
$289$	3.32828	+	5.76474i	0.195781	+	0.339103i
$290$	−2.12175	+	3.67498i	−0.124594	+	0.215802i
$291$	−6.62129	+	1.77417i	−0.388147	+	0.104004i
$292$	7.67123	+	2.05550i	0.448925	+	0.120289i
$293$	−2.84344	−	2.84344i	−0.166116	−	0.166116i	0.619154	−	0.785270i	$-0.287476\pi$
$293$	−2.84344	−	2.84344i	−0.166116	−	0.166116i	−0.785270	+	0.619154i	$0.787476\pi$
$294$	0.323919	+	1.87846i	0.0188913	+	0.109554i
$295$	24.5887			1.43161
$296$	−3.15658	+	1.82245i	−0.183473	+	0.105928i
$297$	−1.62478	+	0.435358i	−0.0942791	+	0.0252620i
$298$	2.27161	+	1.31151i	0.131591	+	0.0759740i
$299$	−14.1599	+	13.3791i	−0.818887	+	0.773731i
$300$			2.53758i			0.146507i
$301$	13.2053	−	6.84261i	0.761141	−	0.394401i
$302$	−1.31667			−0.0757660
$303$	12.8989	−	7.44718i	0.741022	−	0.427829i
$304$	−3.62911	−	13.5440i	−0.208143	−	0.776802i
$305$	−2.64591	+	0.708970i	−0.151504	+	0.0405955i
$306$	0.226671	−	0.845947i	0.0129579	−	0.0483596i
$307$	−2.25090	−	2.25090i	−0.128466	−	0.128466i	0.639951	−	0.768416i	$-0.278955\pi$
$307$	−2.25090	−	2.25090i	−0.128466	−	0.128466i	−0.768416	+	0.639951i	$0.778955\pi$
$308$	−8.37111	+	1.83927i	−0.476988	+	0.104802i
$309$			16.5187i			0.939716i
$310$	5.96668	+	1.59877i	0.338885	+	0.0908038i
$311$	8.11431	−	14.0544i	0.460120	−	0.796951i	−0.538846	−	0.842404i	$-0.681140\pi$
$311$	8.11431	−	14.0544i	0.460120	−	0.796951i	0.998966	+	0.0454526i	$0.0144730\pi$
$312$	3.39140	−	1.83188i	0.192000	−	0.103710i
$313$	10.2909	−	5.94143i	0.581673	−	0.335829i	−0.180125	−	0.983644i	$-0.557650\pi$
$313$	10.2909	−	5.94143i	0.581673	−	0.335829i	0.761798	+	0.647814i	$0.224317\pi$
$314$	−0.630877	+	0.630877i	−0.0356024	+	0.0356024i
$315$	4.91142	−	4.48347i	0.276727	−	0.252615i
$316$		−	15.2612i		−	0.858511i
$317$	2.36812	−	8.83796i	0.133007	−	0.496389i	−0.866991	−	0.498324i	$-0.833949\pi$
$317$	2.36812	−	8.83796i	0.133007	−	0.496389i	0.999998	+	0.00193457i	$0.000615793\pi$
$318$	−0.0505005	−	0.188471i	−0.00283193	−	0.0105689i
$319$	2.69915	+	10.0734i	0.151123	+	0.563999i
$320$	4.08206	−	15.2345i	0.228194	−	0.851633i
$321$			10.2113i			0.569937i
$322$	−2.87496	+	2.62445i	−0.160215	+	0.146255i
$323$	−8.95572	+	8.95572i	−0.498310	+	0.498310i
$324$	−1.66783	+	0.962923i	−0.0926573	+	0.0534957i
$325$	4.55225	+	1.35917i	0.252514	+	0.0753931i
$326$	2.20365	−	3.81683i	0.122049	−	0.211395i
$327$	3.32206	+	0.890142i	0.183710	+	0.0492250i
$328$			1.15241i			0.0636314i
$329$	16.7929	−	3.68966i	0.925820	−	0.203417i
$330$	−0.814103	−	0.814103i	−0.0448149	−	0.0448149i
$331$	4.67575	−	17.4501i	0.257002	−	0.959146i	−0.709963	−	0.704239i	$-0.751288\pi$
$331$	4.67575	−	17.4501i	0.257002	−	0.959146i	0.966966	−	0.254907i	$-0.0820449\pi$
$332$	−26.4332	+	7.08274i	−1.45071	+	0.388716i
$333$	−0.882434	−	3.29329i	−0.0483571	−	0.180471i
$334$	3.24925	−	1.87596i	0.177791	−	0.102648i
$335$	5.52977			0.302124
$336$	−8.36419	+	4.33408i	−0.456304	+	0.236444i
$337$			28.5273i			1.55398i	0.629514	+	0.776989i	$0.283254\pi$
$337$			28.5273i			1.55398i	−0.629514	+	0.776989i	$0.716746\pi$
$338$	−0.721014	−	3.46585i	−0.0392180	−	0.188518i
$339$	9.66958	+	5.58273i	0.525179	+	0.303212i
$340$	−15.0375	+	4.02929i	−0.815523	+	0.218519i
$341$	13.1469	−	7.59039i	0.711947	−	0.411043i
$342$	−1.07238			−0.0579878
$343$	−18.3478	−	2.52128i	−0.990690	−	0.136136i
$344$	−4.24942	−	4.24942i	−0.229113	−	0.229113i
$345$	13.1177	+	3.51487i	0.706231	+	0.189234i
$346$	−4.94365	+	1.32465i	−0.265772	+	0.0712135i
$347$	−5.60560	+	9.70918i	−0.300924	+	0.521216i	−0.976346	−	0.216216i	$-0.930629\pi$
$347$	−5.60560	+	9.70918i	−0.300924	+	0.521216i	0.675421	+	0.737432i	$0.263962\pi$
$348$	5.96997	+	10.3403i	0.320024	+	0.554298i
$349$	11.0732	+	11.0732i	0.592736	+	0.592736i	0.938369	−	0.345634i	$-0.112336\pi$
$349$	11.0732	+	11.0732i	0.592736	+	0.592736i	−0.345634	+	0.938369i	$0.612336\pi$
$350$	0.904844	+	0.287174i	0.0483659	+	0.0153501i
$351$	0.834105	+	3.50774i	0.0445212	+	0.187230i
$352$	2.61372	+	4.52709i	0.139312	+	0.241295i
$353$	7.52390	+	28.0796i	0.400457	+	1.49453i	0.812283	+	0.583263i	$0.198224\pi$
$353$	7.52390	+	28.0796i	0.400457	+	1.49453i	−0.411827	+	0.911262i	$0.635109\pi$
$354$	−1.33197	+	2.30704i	−0.0707933	+	0.122618i
$355$	10.7389	+	18.6003i	0.569962	+	0.987204i
$356$	17.1247	−	17.1247i	0.907609	−	0.907609i
$357$	7.16783	+	4.58545i	0.379362	+	0.242688i
$358$	3.59888	−	3.59888i	0.190207	−	0.190207i
$359$	−4.93013	−	1.32102i	−0.260202	−	0.0697210i	0.126359	−	0.991985i	$-0.459671\pi$
$359$	−4.93013	−	1.32102i	−0.260202	−	0.0697210i	−0.386562	+	0.922264i	$0.626337\pi$
$360$	−2.32706	−	1.34353i	−0.122647	−	0.0708103i
$361$	−3.02384	−	1.74582i	−0.159150	−	0.0918850i
$362$	−0.974714	+	3.63768i	−0.0512298	+	0.191192i
$363$	8.17057			0.428843
$364$	3.43232	+	18.0479i	0.179902	+	0.945968i
$365$	−10.3652			−0.542539
$366$	0.0768099	−	0.286658i	0.00401492	−	0.0149839i
$367$	14.6249	+	8.44369i	0.763414	+	0.440757i	0.830520	−	0.556989i	$-0.188043\pi$
$367$	14.6249	+	8.44369i	0.763414	+	0.440757i	−0.0671064	+	0.997746i	$0.521377\pi$
$368$	−16.6604	−	9.61890i	−0.868484	−	0.501420i
$369$	−1.04124	−	0.279000i	−0.0542049	−	0.0145242i
$370$	1.65012	−	1.65012i	0.0857856	−	0.0857856i
$371$	1.89379	+	0.0862651i	0.0983207	+	0.00447866i
$372$	12.2900	−	12.2900i	0.637206	−	0.637206i
$373$	−3.45010	−	5.97576i	−0.178640	−	0.309413i	0.762775	−	0.646664i	$-0.223836\pi$
$373$	−3.45010	−	5.97576i	−0.178640	−	0.309413i	−0.941415	+	0.337251i	$0.890503\pi$
$374$	0.736579	−	1.27579i	0.0380876	−	0.0659696i
$375$	2.39552	+	8.94020i	0.123704	+	0.461670i
$376$	−3.47363	−	6.01650i	−0.179139	−	0.310277i
$377$	21.7474	−	5.17131i	1.12005	−	0.266336i
$378$	0.154611	+	0.703685i	0.00795232	+	0.0361936i
$379$	−23.9464	−	23.9464i	−1.23005	−	1.23005i	−0.963945	−	0.266101i	$-0.914264\pi$
$379$	−23.9464	−	23.9464i	−1.23005	−	1.23005i	−0.266101	−	0.963945i	$-0.585736\pi$
$380$	9.53130	+	16.5087i	0.488945	+	0.846878i
$381$	3.85765	−	6.68164i	0.197633	−	0.342311i
$382$	−6.42066	+	1.72041i	−0.328510	+	0.0880239i
$383$	5.37600	+	1.44049i	0.274701	+	0.0736058i	0.393539	−	0.919308i	$-0.371251\pi$
$383$	5.37600	+	1.44049i	0.274701	+	0.0736058i	−0.118839	+	0.992914i	$0.537917\pi$
$384$	5.60320	+	5.60320i	0.285937	+	0.285937i
$385$	9.93187	−	5.14641i	0.506175	−	0.262285i
$386$	−4.05708			−0.206500
$387$	4.86828	−	2.81070i	0.247468	−	0.142876i
$388$	−12.7516	+	3.41678i	−0.647364	+	0.173461i
$389$	−27.8629	−	16.0866i	−1.41270	−	0.815625i	−0.417061	−	0.908878i	$-0.636940\pi$
$389$	−27.8629	−	16.0866i	−1.41270	−	0.815625i	−0.995642	+	0.0932534i	$0.970273\pi$
$390$	−1.79378	+	1.69486i	−0.0908315	+	0.0858228i
$391$			17.3767i			0.878778i
$392$	1.27166	+	7.37455i	0.0642283	+	0.372471i
$393$	−15.8289			−0.798462
$394$	5.61161	−	3.23986i	0.282709	−	0.163222i
$395$	5.15515	+	19.2393i	0.259384	+	0.968034i
$396$	−3.12907	+	0.838432i	−0.157242	+	0.0421328i
$397$	−2.42732	+	9.05886i	−0.121823	+	0.454651i	−0.999707	−	0.0242236i	$-0.992289\pi$
$397$	−2.42732	+	9.05886i	−0.121823	+	0.454651i	0.877883	+	0.478875i	$0.158955\pi$
$398$	2.45798	+	2.45798i	0.123208	+	0.123208i
$399$	3.15184	−	9.93099i	0.157789	−	0.497171i
$400$			4.69156i			0.234578i
$401$	−30.4574	−	8.16105i	−1.52097	−	0.407543i	−0.600910	−	0.799316i	$-0.705195\pi$
$401$	−30.4574	−	8.16105i	−1.52097	−	0.407543i	−0.920062	+	0.391773i	$0.871862\pi$
$402$	−0.299548	+	0.518833i	−0.0149401	+	0.0258770i
$403$	−15.4647	−	28.6302i	−0.770353	−	1.42617i
$404$	24.8413	−	14.3421i	1.23590	−	0.713547i
$405$	1.77731	−	1.77731i	0.0883151	−	0.0883151i
$406$	4.36273	−	0.958562i	0.216519	−	0.0475726i
$407$		−	5.73503i		−	0.284275i
$408$	0.889875	−	3.32106i	0.0440554	−	0.164417i
$409$	1.93485	+	7.22097i	0.0956723	+	0.357054i	0.997121	−	0.0758330i	$-0.0241616\pi$
$409$	1.93485	+	7.22097i	0.0956723	+	0.357054i	−0.901448	+	0.432887i	$0.857495\pi$
$410$	−0.190963	−	0.712683i	−0.00943098	−	0.0351969i
$411$	−5.11589	+	19.0928i	−0.252348	+	0.941776i
$412$			31.8125i			1.56729i
$413$	−17.4499	−	19.1155i	−0.858655	−	0.940614i
$414$	−1.04037	+	1.04037i	−0.0511313	+	0.0511313i
$415$	30.9309	−	17.8579i	1.51834	−	0.876612i
$416$	9.85867	−	5.32521i	0.483361	−	0.261090i
$417$	−4.45212	+	7.71130i	−0.218021	+	0.377624i
$418$	−1.74238	−	0.466870i	−0.0852227	−	0.0228354i
$419$			11.9331i			0.582969i	0.956575	+	0.291485i	$0.0941493\pi$
$419$			11.9331i			0.582969i	−0.956575	+	0.291485i	$0.905851\pi$
$420$	9.45863	−	8.63447i	0.461534	−	0.421319i
$421$	2.09088	+	2.09088i	0.101903	+	0.101903i	0.756220	−	0.654317i	$-0.227044\pi$
$421$	2.09088	+	2.09088i	0.101903	+	0.101903i	−0.654317	+	0.756220i	$0.727044\pi$
$422$	−1.50625	+	5.62141i	−0.0733232	+	0.273646i
$423$	6.27707	−	1.68194i	0.305201	−	0.0817785i
$424$	−0.198257	−	0.739906i	−0.00962823	−	0.0359330i
$425$	3.66995	−	2.11885i	0.178019	−	0.102779i
$426$	−2.32691			−0.112739
$427$	2.42890	+	1.55383i	0.117543	+	0.0751950i
$428$			19.6653i			0.950558i
$429$	−0.171889	+	6.06243i	−0.00829890	+	0.292697i
$430$	3.33211	+	1.92380i	0.160689	+	0.0927737i
$431$	19.6979	−	5.27803i	0.948814	−	0.254234i	0.248955	−	0.968515i	$-0.419913\pi$
$431$	19.6979	−	5.27803i	0.948814	−	0.254234i	0.699859	+	0.714281i	$0.253246\pi$
$432$	−3.08355	+	1.78029i	−0.148357	+	0.0856541i
$433$	17.8044			0.855625			0.427813	−	0.903867i	$-0.359284\pi$
$433$	17.8044			0.855625			0.427813	+	0.903867i	$0.359284\pi$
$434$	−2.99149	−	5.77318i	−0.143596	−	0.277121i
$435$	−11.0190	−	11.0190i	−0.528321	−	0.528321i
$436$	6.39777	+	1.71428i	0.306397	+	0.0820990i
$437$	20.5524	−	5.50699i	0.983153	−	0.263435i
$438$	0.561483	−	0.972516i	0.0268287	−	0.0464686i
$439$	5.44240	+	9.42652i	0.259752	+	0.449903i	0.966175	−	0.257886i	$-0.0830260\pi$
$439$	5.44240	+	9.42652i	0.259752	+	0.449903i	−0.706424	+	0.707789i	$0.749693\pi$
$440$	−3.19604	−	3.19604i	−0.152365	−	0.152365i
$441$	−6.97101	−	0.636401i	−0.331953	−	0.0303048i
$442$	−2.68880	−	1.65572i	−0.127893	−	0.0787546i
$443$	0.504674	+	0.874120i	0.0239778	+	0.0415307i	0.877765	−	0.479091i	$-0.159034\pi$
$443$	0.504674	+	0.874120i	0.0239778	+	0.0415307i	−0.853788	+	0.520622i	$0.825700\pi$
$444$	−1.69943	−	6.34237i	−0.0806515	−	0.300996i
$445$	−15.8039	+	27.3732i	−0.749177	+	1.29761i
$446$	−2.60777	−	4.51680i	−0.123482	−	0.213876i
$447$	−6.81116	+	6.81116i	−0.322157	+	0.322157i
$448$	−14.7404	+	7.63806i	−0.696419	+	0.360864i
$449$	4.39731	−	4.39731i	0.207522	−	0.207522i	−0.595691	−	0.803213i	$-0.703122\pi$
$449$	4.39731	−	4.39731i	0.207522	−	0.207522i	0.803213	+	0.595691i	$0.203122\pi$
$450$	0.346584	+	0.0928668i	0.0163381	+	0.00437778i
$451$	−1.57032	−	0.906626i	−0.0739436	−	0.0426913i
$452$	18.6221	+	10.7515i	0.875911	+	0.505707i
$453$	1.25143	−	4.67041i	0.0587974	−	0.219435i
$454$	6.94651			0.326016
$455$	−10.4235	−	21.5930i	−0.488661	−	1.01229i
$456$	−4.21001			−0.197152
$457$	2.13422	−	7.96500i	0.0998344	−	0.372587i	−0.897874	−	0.440253i	$-0.854889\pi$
$457$	2.13422	−	7.96500i	0.0998344	−	0.372587i	0.997708	+	0.0676663i	$0.0215553\pi$
$458$	3.96588	+	2.28970i	0.185313	+	0.106991i
$459$	2.78524	+	1.60806i	0.130004	+	0.0750579i
$460$	25.2626	+	6.76909i	1.17787	+	0.315610i
$461$	8.70768	−	8.70768i	0.405557	−	0.405557i	−0.474629	−	0.880186i	$-0.657418\pi$
$461$	8.70768	−	8.70768i	0.405557	−	0.405557i	0.880186	+	0.474629i	$0.157418\pi$
$462$	−0.0551466	+	1.21064i	−0.00256565	+	0.0563241i
$463$	−14.5871	+	14.5871i	−0.677922	+	0.677922i	−0.959530	−	0.281608i	$-0.909132\pi$
$463$	−14.5871	+	14.5871i	−0.677922	+	0.677922i	0.281608	+	0.959530i	$0.409132\pi$
$464$	11.0375	+	19.1175i	0.512403	+	0.887508i
$465$	−11.3421	+	19.6450i	−0.525976	+	0.911016i
$466$	1.89779	+	7.08267i	0.0879136	+	0.328098i
$467$	−1.12496	−	1.94848i	−0.0520568	−	0.0901650i	0.838823	−	0.544405i	$-0.183244\pi$
$467$	−1.12496	−	1.94848i	−0.0520568	−	0.0901650i	−0.890880	+	0.454240i	$0.849911\pi$
$468$	1.60636	+	6.75538i	0.0742539	+	0.312267i
$469$	−3.92434	−	4.29892i	−0.181209	−	0.198506i
$470$	3.14516	+	3.14516i	0.145075	+	0.145075i
$471$	−1.63818	−	2.83742i	−0.0754836	−	0.130741i
$472$	−5.22910	+	9.05707i	−0.240689	+	0.416886i
$473$	9.13352	−	2.44732i	0.419960	−	0.112528i
$474$	−2.08439	−	0.558510i	−0.0957390	−	0.0256532i
$475$	−3.66915	−	3.66915i	−0.168352	−	0.168352i
$476$	13.8041	+	8.83087i	0.632712	+	0.404762i
$477$	0.716528			0.0328076
$478$	0.377764	−	0.218102i	0.0172785	−	0.00997576i
$479$	−22.3195	+	5.98049i	−1.01980	+	0.273256i	−0.729721	−	0.683746i	$-0.760350\pi$
$479$	−22.3195	+	5.98049i	−1.01980	+	0.273256i	−0.290084	+	0.957001i	$0.593683\pi$
$480$	−6.76467	−	3.90559i	−0.308764	−	0.178265i
$481$	−12.2881	−	0.348406i	−0.560287	−	0.0158859i
$482$			2.83123i			0.128959i
$483$	−6.57676	−	12.6922i	−0.299253	−	0.577517i
$484$	15.7353			0.715239
$485$	14.9213	−	8.61482i	0.677542	−	0.391179i
$486$	0.0704795	+	0.263033i	0.00319702	+	0.0119314i
$487$	30.1555	−	8.08015i	1.36648	−	0.366147i	0.500287	−	0.865860i	$-0.333228\pi$
$487$	30.1555	−	8.08015i	1.36648	−	0.366147i	0.866191	+	0.499713i	$0.166561\pi$
$488$	0.301544	−	1.12538i	0.0136502	−	0.0509434i
$489$	11.4443	+	11.4443i	0.517530	+	0.517530i
$490$	−2.00844	−	4.34989i	−0.0907320	−	0.196508i
$491$		−	23.7061i		−	1.06984i	−0.844902	−	0.534922i	$-0.820341\pi$
$491$		−	23.7061i		−	1.06984i	0.844902	−	0.534922i	$-0.179659\pi$
$492$	−2.00527	−	0.537311i	−0.0904047	−	0.0242239i
$493$	9.96972	−	17.2681i	0.449014	−	0.777715i
$494$	−1.10618	+	3.70492i	−0.0497694	+	0.166692i
$495$	3.66149	−	2.11396i	0.164572	−	0.0950156i
$496$	22.7222	−	22.7222i	1.02026	−	1.02026i
$497$	6.83902	−	21.5488i	0.306772	−	0.966594i
$498$			3.86946i			0.173395i
$499$	−9.72944	+	36.3108i	−0.435550	+	1.62549i	0.304198	+	0.952609i	$0.401612\pi$
$499$	−9.72944	+	36.3108i	−0.435550	+	1.62549i	−0.739747	+	0.672885i	$0.765055\pi$
$500$	4.61340	+	17.2175i	0.206318	+	0.769988i
$501$	3.56601	+	13.3085i	0.159317	+	0.594580i
$502$	−0.687642	+	2.56632i	−0.0306910	+	0.114540i
$503$			1.81099i			0.0807479i	0.999185	+	0.0403740i	$0.0128549\pi$
$503$			1.81099i			0.0807479i	−0.999185	+	0.0403740i	$0.987145\pi$
$504$	0.606978	+	2.76256i	0.0270370	+	0.123054i
$505$	−26.4718	+	26.4718i	−1.17798	+	1.17798i
$506$	−2.14330	+	1.23743i	−0.0952811	+	0.0550106i
$507$	12.9791	+	0.736591i	0.576423	+	0.0327132i
$508$	7.42923	−	12.8678i	0.329619	−	0.570917i
$509$	10.1537	+	2.72066i	0.450053	+	0.120591i	0.476724	−	0.879053i	$-0.341824\pi$
$509$	10.1537	+	2.72066i	0.450053	+	0.120591i	−0.0266713	+	0.999644i	$0.508491\pi$
$510$			2.20129i			0.0974747i
$511$	7.35590	+	8.05803i	0.325406	+	0.356466i
$512$	13.2074	+	13.2074i	0.583690	+	0.583690i
$513$	1.01925	−	3.80388i	0.0450008	−	0.167945i
$514$	−5.17666	+	1.38708i	−0.228332	+	0.0611815i
$515$	−10.7461	−	40.1049i	−0.473528	−	1.76723i
$516$	9.37555	−	5.41298i	0.412736	−	0.238293i
$517$	10.9311			0.480748
$518$	−2.45387	−	0.111778i	−0.107817	−	0.00491123i
$519$		−	18.7948i		−	0.824999i
$520$	−7.04210	+	6.65378i	−0.308816	+	0.291787i
$521$	−38.1189	−	22.0079i	−1.67002	−	0.964185i	−0.967624	−	0.252396i	$-0.918781\pi$
$521$	−38.1189	−	22.0079i	−1.67002	−	0.964185i	−0.702394	−	0.711789i	$-0.747885\pi$
$522$	1.63076	−	0.436962i	0.0713766	−	0.0191253i
$523$	−6.68744	+	3.86100i	−0.292422	+	0.168830i	−0.639033	−	0.769179i	$-0.720665\pi$
$523$	−6.68744	+	3.86100i	−0.292422	+	0.168830i	0.346612	+	0.938009i	$0.387332\pi$
$524$	−30.4840			−1.33170
$525$	−1.87865	+	2.93665i	−0.0819911	+	0.128166i
$526$	−0.889555	−	0.889555i	−0.0387864	−	0.0387864i
$527$	−28.0363	−	7.51231i	−1.22128	−	0.327241i
$528$	−5.78514	+	1.55012i	−0.251766	+	0.0674605i
$529$	3.09621	−	5.36279i	0.134618	−	0.233165i
$530$	0.245215	+	0.424725i	0.0106515	+	0.0184489i
$531$	−6.91739	−	6.91739i	−0.300189	−	0.300189i
$532$	6.06996	−	19.1256i	0.263166	−	0.829198i
$533$	−2.03796	+	3.30954i	−0.0882739	+	0.143352i
$534$	−1.71220	−	2.96561i	−0.0740941	−	0.128335i
$535$	−6.64282	−	24.7914i	−0.287194	−	1.07182i
$536$	−1.17598	+	2.03686i	−0.0507946	+	0.0879788i
$537$	9.34515	+	16.1863i	0.403273	+	0.698489i
$538$	−0.807305	+	0.807305i	−0.0348054	+	0.0348054i
$539$	−11.0493	−	4.06889i	−0.475926	−	0.175260i
$540$	3.42282	−	3.42282i	0.147295	−	0.147295i
$541$	−0.342223	−	0.0916984i	−0.0147133	−	0.00394242i	0.251455	−	0.967869i	$-0.419091\pi$
$541$	−0.342223	−	0.0916984i	−0.0147133	−	0.00394242i	−0.266168	+	0.963927i	$0.585758\pi$
$542$	−1.41439	−	0.816598i	−0.0607532	−	0.0350759i
$543$	−11.9769	−	6.91487i	−0.513978	−	0.296745i
$544$	2.58683	−	9.65418i	0.110909	−	0.413919i
$545$	−8.64451			−0.370290
$546$	2.59061	+	0.191706i	0.110868	+	0.00820425i
$547$	39.2068			1.67636			0.838180	−	0.545393i	$-0.183620\pi$
$547$	39.2068			1.67636			0.838180	+	0.545393i	$0.183620\pi$
$548$	−9.85241	+	36.7697i	−0.420874	+	1.57072i
$549$	0.943810	+	0.544909i	0.0402808	+	0.0232561i
$550$	0.522691	+	0.301776i	0.0222876	+	0.0128678i
$551$	−23.5834	−	6.31916i	−1.00469	−	0.269205i
$552$	−4.08432	+	4.08432i	−0.173840	+	0.173840i
$553$	11.2984	−	17.6613i	0.480457	−	0.751035i
$554$	−3.34994	+	3.34994i	−0.142325	+	0.142325i
$555$	4.28483	+	7.42155i	0.181881	+	0.315027i
$556$	−8.57410	+	14.8508i	−0.363623	+	0.629813i
$557$	−4.01498	−	14.9841i	−0.170120	−	0.634898i	−0.997331	−	0.0730065i	$-0.976741\pi$
$557$	−4.01498	−	14.9841i	−0.170120	−	0.634898i	0.827211	−	0.561891i	$-0.189926\pi$
$558$	−1.22880	−	2.12834i	−0.0520193	−	0.0901000i
$559$	−4.68884	−	19.7184i	−0.198317	−	0.834001i
$560$	17.4875	−	15.9637i	0.738981	−	0.674590i
$561$	3.82532	+	3.82532i	0.161505	+	0.161505i
$562$	−2.01533	−	3.49066i	−0.0850117	−	0.147245i
$563$	−7.57791	+	13.1253i	−0.319371	+	0.553167i	−0.980357	−	0.197231i	$-0.936805\pi$
$563$	−7.57791	+	13.1253i	−0.319371	+	0.553167i	0.660986	+	0.750398i	$0.270138\pi$
$564$	12.0887	−	3.23915i	0.509025	−	0.136393i
$565$	−27.1080	−	7.26358i	−1.14044	−	0.305581i
$566$	4.56940	+	4.56940i	0.192066	+	0.192066i
$567$	−2.64301	−	0.120393i	−0.110996	−	0.00505604i
$568$	−9.13509			−0.383300
$569$	31.1862	−	18.0054i	1.30739	−	0.754824i	0.325733	−	0.945462i	$-0.394389\pi$
$569$	31.1862	−	18.0054i	1.30739	−	0.754824i	0.981660	+	0.190638i	$0.0610555\pi$
$570$	2.60358	−	0.697627i	0.109052	−	0.0292204i
$571$	−30.5823	−	17.6567i	−1.27983	−	0.738910i	−0.303012	−	0.952987i	$-0.597992\pi$
$571$	−30.5823	−	17.6567i	−1.27983	−	0.738910i	−0.976817	+	0.214077i	$0.931326\pi$
$572$	−0.331033	+	11.6753i	−0.0138412	+	0.488169i
$573$		−	24.4101i		−	1.01975i
$574$	−0.418528	+	0.654229i	−0.0174690	+	0.0273070i
$575$	−7.11922			−0.296892
$576$	−5.43421	+	3.13744i	−0.226426	+	0.130727i
$577$	5.10495	+	19.0519i	0.212522	+	0.793142i	0.987024	+	0.160571i	$0.0513336\pi$
$577$	5.10495	+	19.0519i	0.212522	+	0.793142i	−0.774503	+	0.632571i	$0.782000\pi$
$578$	1.75089	−	0.469151i	0.0728276	−	0.0195141i
$579$	3.85605	−	14.3910i	0.160252	−	0.598068i
$580$	−21.2209	−	21.2209i	−0.881151	−	0.881151i
$581$	−35.8338	−	11.3727i	−1.48664	−	0.471821i
$582$			1.86666i			0.0773756i
$583$	1.16420	+	0.311946i	0.0482161	+	0.0129195i
$584$	2.20429	−	3.81795i	0.0912144	−	0.157988i
$585$	−4.30700	−	7.97365i	−0.178073	−	0.329670i
$586$	−0.948324	+	0.547515i	−0.0391749	+	0.0226176i
$587$	−10.7666	+	10.7666i	−0.444387	+	0.444387i	−0.893483	−	0.449096i	$-0.851746\pi$
$587$	−10.7666	+	10.7666i	−0.444387	+	0.444387i	0.449096	+	0.893483i	$0.351746\pi$
$588$	−13.4251	−	1.22561i	−0.553642	−	0.0505433i
$589$			35.5408i			1.46443i
$590$	1.73300	−	6.46763i	0.0713463	−	0.266268i
$591$	6.15866	+	22.9844i	0.253333	+	0.945453i
$592$	−3.14197	−	11.7260i	−0.129134	−	0.481936i
$593$	3.01321	−	11.2454i	0.123738	−	0.461795i	−0.876054	−	0.482213i	$-0.839833\pi$
$593$	3.01321	−	11.2454i	0.123738	−	0.461795i	0.999792	+	0.0204181i	$0.00649972\pi$
$594$			0.458054i			0.0187942i
$595$	−20.3854	−	6.46981i	−0.835720	−	0.265236i
$596$	−13.1173	+	13.1173i	−0.537304	+	0.537304i
$597$	−11.0550	+	6.38259i	−0.452450	+	0.261222i
$598$	2.52116	+	4.66747i	0.103098	+	0.190867i
$599$	−8.70889	+	15.0842i	−0.355836	+	0.616325i	−0.987261	−	0.159112i	$-0.949137\pi$
$599$	−8.70889	+	15.0842i	−0.355836	+	0.616325i	0.631425	+	0.775437i	$0.282470\pi$
$600$	1.36063	+	0.364581i	0.0555476	+	0.0148839i
$601$			8.65804i			0.353169i	0.984285	+	0.176584i	$0.0565049\pi$
$601$			8.65804i			0.353169i	−0.984285	+	0.176584i	$0.943495\pi$
$602$	−0.869129	−	3.95570i	−0.0354231	−	0.161222i
$603$	−1.55566	−	1.55566i	−0.0633514	−	0.0633514i
$604$	2.41007	−	8.99449i	0.0980642	−	0.365981i
$605$	−19.8369	+	5.31528i	−0.806484	+	0.216097i
$606$	−1.04975	−	3.91771i	−0.0426431	−	0.159146i
$607$	−27.6529	+	15.9654i	−1.12240	+	0.648017i	−0.942012	−	0.335579i	$-0.891068\pi$
$607$	−27.6529	+	15.9654i	−1.12240	+	0.648017i	−0.180386	+	0.983596i	$0.557735\pi$
$608$	−12.2383			−0.496329
$609$	−0.746418	+	16.3862i	−0.0302464	+	0.664004i
$610$			0.745930i			0.0302018i
$611$	0.664068	−	23.4213i	0.0268653	−	0.947523i
$612$	5.36395	+	3.09688i	0.216825	+	0.125184i
$613$	−31.1331	+	8.34209i	−1.25745	+	0.336934i	−0.825212	−	0.564823i	$-0.808944\pi$
$613$	−31.1331	+	8.34209i	−1.25745	+	0.336934i	−0.432243	+	0.901757i	$0.642278\pi$
$614$	−0.750703	+	0.433419i	−0.0302959	+	0.0174914i
$615$	2.70948			0.109257
$616$	−0.216497	+	4.75279i	−0.00872291	+	0.191495i
$617$	−4.00949	−	4.00949i	−0.161416	−	0.161416i	0.621778	−	0.783194i	$-0.286411\pi$
$617$	−4.00949	−	4.00949i	−0.161416	−	0.161416i	−0.783194	+	0.621778i	$0.786411\pi$
$618$	4.34497	+	1.16423i	0.174780	+	0.0468322i
$619$	−7.16396	+	1.91958i	−0.287944	+	0.0771544i	−0.399900	−	0.916559i	$-0.630955\pi$
$619$	−7.16396	+	1.91958i	−0.287944	+	0.0771544i	0.111956	+	0.993713i	$0.464288\pi$
$620$	−21.8431	+	37.8333i	−0.877239	+	1.51942i
$621$	−2.70150	−	4.67914i	−0.108407	−	0.187767i
$622$	−3.12488	−	3.12488i	−0.125296	−	0.125296i
$623$	32.4959	−	7.13987i	1.30192	−	0.286053i
$624$	2.96989	+	12.4896i	0.118891	+	0.499984i
$625$	−14.9260	−	25.8526i	−0.597041	−	1.03410i
$626$	−0.837498	−	3.12558i	−0.0334732	−	0.124923i
$627$	3.31210	−	5.73672i	0.132272	−	0.229102i
$628$	−3.15489	−	5.46443i	−0.125894	−	0.218055i
$629$	−7.75361	+	7.75361i	−0.309157	+	0.309157i
$630$	−0.833146	−	1.60786i	−0.0331933	−	0.0640586i
$631$	33.6574	−	33.6574i	1.33988	−	1.33988i	0.443709	−	0.896171i	$-0.353662\pi$
$631$	33.6574	−	33.6574i	1.33988	−	1.33988i	0.896171	−	0.443709i	$-0.146338\pi$
$632$	−8.18298	−	2.19262i	−0.325502	−	0.0872179i
$633$	−18.5083	−	10.6857i	−0.735637	−	0.424720i
$634$	−2.15777	−	1.24579i	−0.0856961	−	0.0494766i
$635$	−5.01910	+	18.7315i	−0.199177	+	0.743339i
$636$	1.37992			0.0547175
$637$	−9.38938	+	23.4273i	−0.372021	+	0.928224i
$638$	2.83986			0.112431
$639$	2.21161	−	8.25385i	0.0874900	−	0.326517i
$640$	−17.2488	−	9.95861i	−0.681819	−	0.393649i
$641$	36.4104	+	21.0215i	1.43812	+	0.830301i	0.997719	−	0.0674993i	$-0.0215020\pi$
$641$	36.4104	+	21.0215i	1.43812	+	0.830301i	0.440404	+	0.897800i	$0.354835\pi$
$642$	2.68590	+	0.719684i	0.106004	+	0.0284037i
$643$	5.96442	−	5.96442i	0.235214	−	0.235214i	−0.579651	−	0.814865i	$-0.696811\pi$
$643$	5.96442	−	5.96442i	0.235214	−	0.235214i	0.814865	+	0.579651i	$0.196811\pi$
$644$	−12.6658	−	24.4433i	−0.499103	−	0.963202i
$645$	−9.99096	+	9.99096i	−0.393394	+	0.393394i
$646$	1.72446	+	2.98685i	0.0678479	+	0.117516i
$647$	19.1961	−	33.2485i	0.754675	−	1.30713i	−0.190861	−	0.981617i	$-0.561128\pi$
$647$	19.1961	−	33.2485i	0.754675	−	1.30713i	0.945536	−	0.325518i	$-0.105539\pi$
$648$	0.276692	+	1.03263i	0.0108695	+	0.0405655i
$649$	−8.22767	−	14.2507i	−0.322964	−	0.559391i
$650$	0.678347	−	1.10160i	0.0266070	−	0.0432083i
$651$	23.3215	−	5.12410i	0.914040	−	0.200829i
$652$	22.0400	+	22.0400i	0.863153	+	0.863153i
$653$	9.31196	+	16.1288i	0.364405	+	0.631168i	0.988681	−	0.150036i	$-0.0479390\pi$
$653$	9.31196	+	16.1288i	0.364405	+	0.631168i	−0.624275	+	0.781204i	$0.714606\pi$
$654$	0.468274	−	0.811074i	0.0183110	−	0.0317155i
$655$	38.4301	−	10.2973i	1.50159	−	0.402350i
$656$	−3.70742	−	0.993401i	−0.144751	−	0.0387858i
$657$	2.91598	+	2.91598i	0.113763	+	0.113763i
$658$	0.213050	−	4.67712i	0.00830556	−	0.182333i
$659$	19.0983			0.743965			0.371983	−	0.928240i	$-0.378678\pi$
$659$	19.0983			0.743965			0.371983	+	0.928240i	$0.378678\pi$
$660$	7.05147	−	4.07117i	0.274478	−	0.158470i
$661$	40.5183	−	10.8568i	1.57598	−	0.422282i	0.638301	−	0.769787i	$-0.279637\pi$
$661$	40.5183	−	10.8568i	1.57598	−	0.422282i	0.937678	+	0.347504i	$0.112971\pi$
$662$	−4.26042	−	2.45975i	−0.165586	−	0.0956010i
$663$	8.42863	−	7.96385i	0.327341	−	0.309290i
$664$			15.1909i			0.589522i
$665$	−1.19169	+	26.1613i	−0.0462117	+	1.01449i
$666$	−0.928438			−0.0359762
$667$	−29.0099	+	16.7489i	−1.12327	+	0.648519i
$668$	6.86758	+	25.6301i	0.265715	+	0.991660i
$669$	18.5002	−	4.95712i	0.715260	−	0.191653i
$670$	0.389736	−	1.45451i	0.0150568	−	0.0561928i
$671$	1.29625	+	1.29625i	0.0500412	+	0.0500412i
$672$	1.76446	+	8.03064i	0.0680655	+	0.309789i
$673$		−	5.07896i		−	0.195780i	−0.995197	−	0.0978898i	$-0.968791\pi$
$673$		−	5.07896i		−	0.195780i	0.995197	−	0.0978898i	$-0.0312093\pi$
$674$	7.50361	+	2.01059i	0.289028	+	0.0774449i
$675$	−0.658821	+	1.14111i	−0.0253580	+	0.0439214i
$676$	24.9958	+	1.41856i	0.961376	+	0.0545601i
$677$	−3.95405	+	2.28287i	−0.151967	+	0.0877380i	−0.574055	−	0.818817i	$-0.694630\pi$
$677$	−3.95405	+	2.28287i	−0.151967	+	0.0877380i	0.422088	+	0.906555i	$0.361297\pi$
$678$	2.14995	−	2.14995i	0.0825684	−	0.0825684i
$679$	−17.2865	−	5.48631i	−0.663397	−	0.210545i
$680$			8.64192i			0.331403i
$681$	−6.60231	+	24.6402i	−0.253001	+	0.944213i
$682$	−1.06993	−	3.99305i	−0.0409699	−	0.152902i
$683$	1.25324	+	4.67716i	0.0479539	+	0.178966i	0.985749	−	0.168223i	$-0.0538028\pi$
$683$	1.25324	+	4.67716i	0.0479539	+	0.178966i	−0.937795	+	0.347189i	$0.887136\pi$
$684$	1.96291	−	7.32569i	0.0750538	−	0.280105i
$685$		−	49.6824i		−	1.89827i
$686$	−1.95633	+	4.64839i	−0.0746929	+	0.177476i
$687$	−11.8912	+	11.8912i	−0.453679	+	0.453679i
$688$	17.3339	−	10.0077i	0.660848	−	0.381541i
$689$	0.739110	−	2.47549i	0.0281579	−	0.0943088i
$690$	1.84905	−	3.20265i	0.0703922	−	0.121923i
$691$	31.5001	+	8.44042i	1.19832	+	0.321089i	0.802169	−	0.597097i	$-0.203679\pi$
$691$	31.5001	+	8.44042i	1.19832	+	0.321089i	0.396151	+	0.918186i	$0.370346\pi$
$692$		−	36.1959i		−	1.37596i
$693$	−4.24189	−	1.34627i	−0.161136	−	0.0511404i
$694$	2.15876	+	2.15876i	0.0819453	+	0.0819453i
$695$	5.79256	−	21.6181i	0.219724	−	0.820022i
$696$	6.40213	−	1.71544i	0.242672	−	0.0650238i
$697$	0.897299	+	3.34877i	0.0339876	+	0.126844i
$698$	3.69306	−	2.13219i	0.139784	−	0.0807045i
$699$	−26.9269			−1.01847
$700$	−3.61800	+	5.65554i	−0.136747	+	0.213759i
$701$		−	21.7888i		−	0.822951i	−0.911421	−	0.411475i	$-0.865014\pi$
$701$		−	21.7888i		−	0.822951i	0.911421	−	0.411475i	$-0.134986\pi$
$702$	0.981440	+	0.0278270i	0.0370421	+	0.00105026i
$703$	11.6279	+	6.71335i	0.438553	+	0.253199i
$704$	−10.1953	+	2.73182i	−0.384249	+	0.102959i
$705$	−14.1456	+	8.16696i	−0.532754	+	0.307586i
$706$	7.91614			0.297928
$707$	39.3659	+	1.79318i	1.48051	+	0.0674394i
$708$	−13.3218	−	13.3218i	−0.500665	−	0.500665i
$709$	20.0434	+	5.37061i	0.752746	+	0.201698i	0.614736	−	0.788733i	$-0.289263\pi$
$709$	20.0434	+	5.37061i	0.752746	+	0.201698i	0.138010	+	0.990431i	$0.455929\pi$
$710$	5.64938	−	1.51375i	0.212018	−	0.0568099i
$711$	3.96221	−	6.86275i	0.148595	−	0.257373i
$712$	−6.72183	−	11.6425i	−0.251911	−	0.436323i
$713$	34.4798	+	34.4798i	1.29128	+	1.29128i
$714$	1.71131	−	1.56220i	0.0640442	−	0.0584638i
$715$	−3.52653	−	14.8305i	−0.131885	−	0.554629i
$716$	17.9973	+	31.1723i	0.672591	+	1.16496i
$717$	0.414591	+	1.54727i	0.0154832	+	0.0577840i
$718$	−0.694947	+	1.20368i	−0.0259352	+	0.0449211i
$719$	16.6905	+	28.9088i	0.622452	+	1.07812i	0.989028	+	0.147730i	$0.0471967\pi$
$719$	16.6905	+	28.9088i	0.622452	+	1.07812i	−0.366576	+	0.930388i	$0.619470\pi$
$720$	6.32824	−	6.32824i	0.235839	−	0.235839i
$721$	−23.5519	+	36.8155i	−0.877117	+	1.37108i
$722$	−0.672326	+	0.672326i	−0.0250214	+	0.0250214i
$723$	−10.0427	−	2.69094i	−0.373493	−	0.100077i
$724$	−23.0657	−	13.3170i	−0.857229	−	0.494922i
$725$	7.07471	+	4.08458i	0.262748	+	0.151698i
$726$	0.575858	−	2.14913i	0.0213721	−	0.0797617i
$727$	−44.2909			−1.64266			−0.821329	−	0.570454i	$-0.806767\pi$
$727$	−44.2909			−1.64266			−0.821329	+	0.570454i	$0.806767\pi$
$728$	10.1703	+	0.752607i	0.376937	+	0.0278935i
$729$	−1.00000			−0.0370370
$730$	−0.730533	+	2.72639i	−0.0270383	+	0.100908i
$731$	−15.6570	−	9.03956i	−0.579094	−	0.334340i
$732$	1.81763	+	1.04941i	0.0671817	+	0.0387873i
$733$	−11.3053	−	3.02925i	−0.417571	−	0.111888i	0.0439152	−	0.999035i	$-0.486017\pi$
$733$	−11.3053	−	3.02925i	−0.417571	−	0.111888i	−0.461486	+	0.887148i	$0.652684\pi$
$734$	3.25173	−	3.25173i	0.120023	−	0.120023i
$735$	17.3386	−	2.98983i	0.639542	−	0.110282i
$736$	−11.8730	+	11.8730i	−0.437643	+	0.437643i
$737$	−1.85033	−	3.20487i	−0.0681578	−	0.118053i
$738$	−0.146773	+	0.254218i	−0.00540277	+	0.00935788i
$739$	7.12838	+	26.6035i	0.262222	+	0.978625i	0.963929	+	0.266159i	$0.0857548\pi$
$739$	7.12838	+	26.6035i	0.262222	+	0.978625i	−0.701707	+	0.712465i	$0.747579\pi$
$740$	8.25193	+	14.2928i	0.303347	+	0.525412i
$741$	−12.0905	−	7.44511i	−0.444154	−	0.273503i
$742$	0.156164	−	0.492050i	0.00573296	−	0.0180637i
$743$	20.8708	+	20.8708i	0.765677	+	0.765677i	0.977342	−	0.211665i	$-0.0678887\pi$
$743$	20.8708	+	20.8708i	0.765677	+	0.765677i	−0.211665	+	0.977342i	$0.567889\pi$
$744$	−4.82408	−	8.35555i	−0.176859	−	0.306329i
$745$	12.1055	−	20.9674i	0.443512	−	0.768186i
$746$	−1.81498	+	0.486324i	−0.0664513	+	0.0178056i
$747$	−13.7255	−	3.67773i	−0.502189	−	0.134561i
$748$	7.36697	+	7.36697i	0.269363	+	0.269363i
$749$	−14.5589	+	22.7580i	−0.531970	+	0.831559i
$750$	2.52040			0.0920322
$751$	−15.3148	+	8.84202i	−0.558846	+	0.322650i	−0.752682	−	0.658384i	$-0.771240\pi$
$751$	−15.3148	+	8.84202i	−0.558846	+	0.322650i	0.193836	+	0.981034i	$0.437907\pi$
$752$	22.3500	−	5.98866i	0.815020	−	0.218384i
$753$	−8.44948	−	4.87831i	−0.307916	−	0.177776i
$754$	0.172523	−	6.08477i	0.00628291	−	0.221594i
$755$			12.1531i			0.442298i
$756$	−5.09003	−	0.231859i	−0.185123	−	0.00843262i
$757$	4.84701			0.176168			0.0880838	−	0.996113i	$-0.471926\pi$
$757$	4.84701			0.176168			0.0880838	+	0.996113i	$0.471926\pi$
$758$	−7.98645	+	4.61098i	−0.290081	+	0.167478i
$759$	−2.35224	−	8.77867i	−0.0853808	−	0.318645i
$760$	10.2213	−	2.73878i	0.370764	−	0.0993459i
$761$	2.69279	−	10.0496i	0.0976137	−	0.364299i	−0.899789	−	0.436325i	$-0.856280\pi$
$761$	2.69279	−	10.0496i	0.0976137	−	0.364299i	0.997403	+	0.0720259i	$0.0229464\pi$
$762$	−1.48561	−	1.48561i	−0.0538179	−	0.0538179i
$763$	6.13479	+	6.72036i	0.222094	+	0.243293i
$764$		−	47.0101i		−	1.70076i
$765$	−7.80825	−	2.09222i	−0.282308	−	0.0756442i
$766$	0.757795	−	1.31254i	0.0273803	−	0.0474240i
$767$	−31.0339	+	16.7631i	−1.12057	+	0.605281i
$768$	−8.99969	+	5.19597i	−0.324748	+	0.187493i
$769$	4.90786	−	4.90786i	0.176982	−	0.176982i	−0.613057	−	0.790039i	$-0.710060\pi$
$769$	4.90786	−	4.90786i	0.176982	−	0.176982i	0.790039	+	0.613057i	$0.210060\pi$
$770$	−0.653683	−	2.97513i	−0.0235571	−	0.107216i
$771$		−	19.6806i		−	0.708780i
$772$	7.42616	−	27.7148i	0.267273	−	0.997478i
$773$	7.07020	+	26.3864i	0.254298	+	0.949051i	0.968480	+	0.249092i	$0.0801321\pi$
$773$	7.07020	+	26.3864i	0.254298	+	0.949051i	−0.714182	+	0.699960i	$0.753201\pi$
$774$	−0.396194	−	1.47862i	−0.0142409	−	0.0531477i
$775$	3.07778	−	11.4864i	0.110557	−	0.412605i
$776$			7.32823i			0.263068i
$777$	2.72877	−	8.59796i	0.0978942	−	0.308450i
$778$	−6.19508	+	6.19508i	−0.222104	+	0.222104i
$779$	3.67639	−	2.12257i	0.131720	−	0.0760488i
$780$	−8.29463	−	15.3560i	−0.296995	−	0.549834i
$781$	7.18675	−	12.4478i	0.257162	−	0.445418i
$782$	4.57065	+	1.22470i	0.163446	+	0.0437953i
$783$			6.19984i			0.221564i
$784$	−24.8208	−	2.26595i	−0.886458	−	0.0809269i
$785$	5.82311	+	5.82311i	0.207836	+	0.207836i
$786$	−1.11561	+	4.16353i	−0.0397926	+	0.148508i
$787$	17.5144	−	4.69297i	0.624322	−	0.167286i	0.0672300	−	0.997738i	$-0.478584\pi$
$787$	17.5144	−	4.69297i	0.624322	−	0.167286i	0.557092	+	0.830451i	$0.311917\pi$
$788$	11.8606	+	44.2645i	0.422517	+	1.57686i
$789$	4.00084	−	2.30989i	0.142434	−	0.0822342i
$790$	5.42390			0.192974
$791$	13.5911	+	26.2289i	0.483243	+	0.932593i
$792$			1.79825i			0.0638980i
$793$	2.85613	−	2.69864i	0.101424	−	0.0958314i
$794$	2.21171	+	1.27693i	0.0784905	+	0.0453165i
$795$	−1.73962	+	0.466130i	−0.0616979	+	0.0165319i
$796$	−21.2902	+	12.2919i	−0.754610	+	0.435675i
$797$	8.64429			0.306196			0.153098	−	0.988211i	$-0.451075\pi$
$797$	8.64429			0.306196			0.153098	+	0.988211i	$0.451075\pi$
$798$	−2.39004	−	1.52897i	−0.0846065	−	0.0541250i
$799$	−14.7785	−	14.7785i	−0.522826	−	0.522826i
$800$	3.95530	+	1.05982i	0.139841	+	0.0374703i
$801$	12.1468	−	3.25472i	0.429185	−	0.115000i
$802$	−4.29325	+	7.43613i	−0.151600	+	0.262579i
$803$	3.46832	+	6.00731i	0.122394	+	0.211993i
$804$	−2.99596	−	2.99596i	−0.105659	−	0.105659i
$805$	24.2242	+	26.5364i	0.853790	+	0.935285i
$806$	−8.62063	+	2.04990i	−0.303649	+	0.0722045i
$807$	−2.09631	−	3.63092i	−0.0737936	−	0.127814i
$808$	−4.12114	−	15.3803i	−0.144981	−	0.541078i
$809$	−2.49511	+	4.32165i	−0.0877233	+	0.151941i	−0.906548	−	0.422102i	$-0.861292\pi$
$809$	−2.49511	+	4.32165i	−0.0877233	+	0.151941i	0.818825	+	0.574043i	$0.194626\pi$
$810$	−0.342227	−	0.592755i	−0.0120246	−	0.0208273i
$811$	−22.1052	+	22.1052i	−0.776218	+	0.776218i	−0.979185	−	0.202967i	$-0.934941\pi$
$811$	−22.1052	+	22.1052i	−0.776218	+	0.776218i	0.202967	+	0.979185i	$0.434941\pi$
$812$	−1.43749	+	31.5574i	−0.0504459	+	1.10745i
$813$	4.24089	−	4.24089i	0.148734	−	0.148734i
$814$	−1.50850	−	0.404203i	−0.0528731	−	0.0141673i
$815$	−35.2300	−	20.3401i	−1.23405	−	0.712482i
$816$	9.91707	+	5.72563i	0.347167	+	0.200437i
$817$	−5.72960	+	21.3831i	−0.200453	+	0.748101i
$818$	2.03572			0.0711773
$819$	−3.14225	+	9.00701i	−0.109799	+	0.314730i
$820$	5.21804			0.182222
$821$	2.30548	−	8.60418i	0.0804619	−	0.300288i	−0.913954	−	0.405817i	$-0.866987\pi$
$821$	2.30548	−	8.60418i	0.0804619	−	0.300288i	0.994416	+	0.105529i	$0.0336537\pi$
$822$	4.66146	+	2.69130i	0.162587	+	0.0938697i
$823$	6.55551	+	3.78483i	0.228511	+	0.131931i	0.609885	−	0.792490i	$-0.291216\pi$
$823$	6.55551	+	3.78483i	0.228511	+	0.131931i	−0.381374	+	0.924421i	$0.624549\pi$
$824$	17.0577	+	4.57059i	0.594232	+	0.159224i
$825$	−1.56723	+	1.56723i	−0.0545639	+	0.0545639i
$826$	−6.25788	+	3.24266i	−0.217740	+	0.112826i
$827$	10.8615	−	10.8615i	0.377691	−	0.377691i	−0.492578	−	0.870268i	$-0.663945\pi$
$827$	10.8615	−	10.8615i	0.377691	−	0.377691i	0.870268	+	0.492578i	$0.163945\pi$
$828$	−5.20267	−	9.01129i	−0.180805	−	0.313164i
$829$	−17.6352	+	30.5450i	−0.612495	+	1.06087i	0.378323	+	0.925673i	$0.376501\pi$
$829$	−17.6352	+	30.5450i	−0.612495	+	1.06087i	−0.990818	+	0.135199i	$0.956833\pi$
$830$	−2.51724	−	9.39446i	−0.0873746	−	0.326086i
$831$	−8.69873	−	15.0666i	−0.301755	−	0.522656i
$832$	5.23391	+	22.0107i	0.181453	+	0.763084i
$833$	9.43728	+	20.4393i	0.326982	+	0.708181i
$834$	1.71454	+	1.71454i	0.0593698	+	0.0593698i
$835$	−17.3154	−	29.9912i	−0.599225	−	1.03789i
$836$	6.37859	−	11.0480i	0.220608	−	0.382104i
$837$	8.71743	−	2.33583i	0.301318	−	0.0807380i
$838$	3.13880	+	0.841038i	0.108428	+	0.0290532i
$839$	4.53781	+	4.53781i	0.156663	+	0.156663i	0.781086	−	0.624423i	$-0.214666\pi$
$839$	4.53781	+	4.53781i	0.156663	+	0.156663i	−0.624423	+	0.781086i	$0.714666\pi$
$840$	−3.27080	−	6.31221i	−0.112853	−	0.217792i
$841$	9.43800			0.325448
$842$	0.697334	−	0.402606i	0.0240317	−	0.0138747i
$843$	14.2973	−	3.83095i	0.492425	−	0.131945i
$844$	−35.6441	−	20.5791i	−1.22692	−	0.708362i
$845$	−31.9905	+	6.65510i	−1.10051	+	0.228942i
$846$		−	1.76962i		−	0.0608408i
$847$	18.2099	+	11.6493i	0.625699	+	0.400276i
$848$	2.55125			0.0876103
$849$	−20.5512	+	11.8653i	−0.705316	+	0.407215i
$850$	−0.298671	−	1.11466i	−0.0102443	−	0.0382324i
$851$	17.7936	−	4.76779i	0.609958	−	0.163438i
$852$	4.25923	−	15.8956i	0.145919	−	0.544576i
$853$	14.2303	+	14.2303i	0.487235	+	0.487235i	0.907433	−	0.420198i	$-0.138039\pi$
$853$	14.2303	+	14.2303i	0.487235	+	0.487235i	−0.420198	+	0.907433i	$0.638039\pi$
$854$	0.579896	−	0.529367i	0.0198436	−	0.0181146i
$855$			9.89830i			0.338515i
$856$	10.5444	+	2.82537i	0.360401	+	0.0965692i
$857$	24.0631	−	41.6785i	0.821979	−	1.42371i	−0.0822268	−	0.996614i	$-0.526203\pi$
$857$	24.0631	−	41.6785i	0.821979	−	1.42371i	0.904206	−	0.427096i	$-0.140463\pi$
$858$	1.58251	+	0.472490i	0.0540259	+	0.0161305i
$859$	45.8474	−	26.4700i	1.56429	−	0.903145i	0.567478	−	0.823389i	$-0.307919\pi$
$859$	45.8474	−	26.4700i	1.56429	−	0.903145i	0.996814	−	0.0797561i	$-0.0254141\pi$
$860$	−19.2411	+	19.2411i	−0.656114	+	0.656114i
$861$	−1.92285	−	2.10638i	−0.0655304	−	0.0717854i
$862$		−	5.55319i		−	0.189142i
$863$	5.16020	−	19.2581i	0.175655	−	0.655554i	−0.820784	−	0.571239i	$-0.806463\pi$
$863$	5.16020	−	19.2581i	0.175655	−	0.655554i	0.996439	−	0.0843153i	$-0.0268703\pi$
$864$	0.804331	+	3.00181i	0.0273639	+	0.102123i
$865$	12.2267	+	45.6308i	0.415722	+	1.55150i
$866$	1.25485	−	4.68315i	0.0426414	−	0.159140i
$867$			6.65655i			0.226068i
$868$	44.9136	−	9.86822i	1.52447	−	0.334949i
$869$	9.42546	−	9.42546i	0.319737	−	0.319737i
$870$	−3.67498	+	2.12175i	−0.124594	+	0.0719341i
$871$	−6.97926	+	3.76988i	−0.236483	+	0.127738i
$872$	1.83837	−	3.18415i	0.0622551	−	0.107829i
$873$	−6.62129	−	1.77417i	−0.224097	−	0.0600465i
$874$		−	5.79408i		−	0.195988i
$875$	−7.40772	+	23.3406i	−0.250427	+	0.789058i
$876$	5.61573	+	5.61573i	0.189738	+	0.189738i
$877$	5.16244	−	19.2665i	0.174323	−	0.650583i	−0.822343	−	0.568993i	$-0.807333\pi$
$877$	5.16244	−	19.2665i	0.174323	−	0.650583i	0.996666	−	0.0815907i	$-0.0260000\pi$
$878$	2.86306	−	0.767156i	0.0966237	−	0.0258903i
$879$	−1.04077	−	3.88421i	−0.0351044	−	0.131011i
$880$	13.0370	−	7.52693i	0.439478	−	0.253733i
$881$	28.5396			0.961524			0.480762	−	0.876851i	$-0.340360\pi$
$881$	28.5396			0.961524			0.480762	+	0.876851i	$0.340360\pi$
$882$	−0.658708	+	1.78875i	−0.0221799	+	0.0602305i
$883$		−	6.63568i		−	0.223308i	−0.993747	−	0.111654i	$-0.964385\pi$
$883$		−	6.63568i		−	0.223308i	0.993747	−	0.111654i	$-0.0356149\pi$
$884$	16.2323	−	15.3372i	0.545950	−	0.515844i
$885$	21.2944	+	12.2943i	0.715803	+	0.413269i
$886$	0.265492	−	0.0711383i	0.00891937	−	0.00238994i
$887$	−5.34220	+	3.08432i	−0.179373	+	0.103561i	−0.586998	−	0.809588i	$-0.699690\pi$
$887$	−5.34220	+	3.08432i	−0.179373	+	0.103561i	0.407625	+	0.913150i	$0.366357\pi$
$888$	−3.64491			−0.122315
$889$	18.1241	−	9.39137i	0.607862	−	0.314977i
$890$	6.08620	+	6.08620i	0.204010	+	0.204010i
$891$	−1.62478	−	0.435358i	−0.0544321	−	0.0145850i
$892$	35.6286	−	9.54665i	1.19293	−	0.319645i
$893$	−12.7958	+	22.1629i	−0.428194	+	0.741653i
$894$	1.31151	+	2.27161i	0.0438636	+	0.0759740i
$895$	−33.2184	−	33.2184i	−1.11037	−	1.11037i
$896$	4.49908	+	20.4768i	0.150304	+	0.684083i
$897$	−18.9523	+	4.50667i	−0.632800	+	0.150473i
$898$	−0.846718	−	1.46656i	−0.0282554	−	0.0489397i
$899$	−14.4818	−	54.0466i	−0.482993	−	1.80256i
$900$	−1.26879	+	2.19761i	−0.0422929	+	0.0732535i
$901$	−1.15222	−	1.99570i	−0.0383860	−	0.0664866i
$902$	−0.349148	+	0.349148i	−0.0116254	+	0.0116254i
$903$	14.8574	+	0.676779i	0.494424	+	0.0225218i
$904$	8.44038	−	8.44038i	0.280723	−	0.280723i
$905$	33.5765	+	8.99679i	1.11612	+	0.299064i
$906$	−1.14027	−	0.658336i	−0.0378830	−	0.0218718i
$907$	15.1088	+	8.72308i	0.501680	+	0.289645i	0.729407	−	0.684080i	$-0.239796\pi$
$907$	15.1088	+	8.72308i	0.501680	+	0.289645i	−0.227727	+	0.973725i	$0.573129\pi$
$908$	−12.7150	+	47.4532i	−0.421963	+	1.57479i
$909$	14.8944			0.494014
$910$	−6.41431	+	1.21986i	−0.212632	+	0.0404380i
$911$	5.47776			0.181486			0.0907431	−	0.995874i	$-0.471076\pi$
$911$	5.47776			0.181486			0.0907431	+	0.995874i	$0.471076\pi$
$912$	3.62911	−	13.5440i	0.120172	−	0.448487i
$913$	−20.6997	−	11.9510i	−0.685060	−	0.395520i
$914$	−1.94464	−	1.12274i	−0.0643230	−	0.0371369i
$915$	−2.64591	−	0.708970i	−0.0874711	−	0.0234378i
$916$	−22.9007	+	22.9007i	−0.756661	+	0.756661i
$917$	−35.2781	−	22.5683i	−1.16499	−	0.745273i
$918$	0.619276	−	0.619276i	0.0204392	−	0.0204392i
$919$	26.6486	+	46.1567i	0.879056	+	1.52257i	0.852378	+	0.522925i	$0.175159\pi$
$919$	26.6486	+	46.1567i	0.879056	+	1.52257i	0.0266774	+	0.999644i	$0.491507\pi$
$920$	7.25910	−	12.5731i	0.239325	−	0.414524i
$921$	−0.823886	−	3.07478i	−0.0271480	−	0.101318i
$922$	−1.67670	−	2.90412i	−0.0552190	−	0.0956421i
$923$	−26.2345	−	16.1548i	−0.863519	−	0.531741i
$924$	−8.16922	−	2.59270i	−0.268748	−	0.0852936i
$925$	−3.17664	−	3.17664i	−0.104447	−	0.104447i
$926$	2.80881	+	4.86500i	0.0923032	+	0.159874i
$927$	−8.25935	+	14.3056i	−0.271273	+	0.469858i
$928$	18.6107	−	4.98672i	0.610926	−	0.163697i
$929$	22.4322	+	6.01069i	0.735977	+	0.197204i	0.607289	−	0.794481i	$-0.292257\pi$
$929$	22.4322	+	6.01069i	0.735977	+	0.197204i	0.128687	+	0.991685i	$0.458924\pi$
$930$	4.36791	+	4.36791i	0.143229	+	0.143229i
$931$	21.1839	−	17.6396i	0.694273	−	0.578114i
$932$	−51.8570			−1.69863
$933$	14.0544	−	8.11431i	0.460120	−	0.265650i
$934$	−0.591802	+	0.158573i	−0.0193643	+	0.00518866i
$935$	−11.7758	−	6.79877i	−0.385110	−	0.222343i
$936$	3.85298	+	0.109244i	0.125939	+	0.00357077i
$937$			21.3348i			0.696977i	0.937313	+	0.348488i	$0.113305\pi$
$937$			21.3348i			0.696977i	−0.937313	+	0.348488i	$0.886695\pi$
$938$	−1.40734	+	0.729245i	−0.0459514	+	0.0238107i
$939$	11.8829			0.387782
$940$	−27.2422	+	15.7283i	−0.888544	+	0.513001i
$941$	9.44095	+	35.2341i	0.307766	+	1.14860i	0.930538	+	0.366196i	$0.119340\pi$
$941$	9.44095	+	35.2341i	0.307766	+	1.14860i	−0.622772	+	0.782404i	$0.713993\pi$
$942$	−0.861794	+	0.230917i	−0.0280788	+	0.00752368i
$943$	1.50744	−	5.62584i	0.0490889	−	0.183202i
$944$	−24.6299	−	24.6299i	−0.801635	−	0.801635i
$945$	6.49515	−	1.42709i	0.211287	−	0.0464231i
$946$		−	2.57491i		−	0.0837174i
$947$	−20.9304	−	5.60828i	−0.680147	−	0.182245i	−0.0978255	−	0.995204i	$-0.531189\pi$
$947$	−20.9304	−	5.60828i	−0.680147	−	0.182245i	−0.582321	+	0.812959i	$0.697855\pi$
$948$	7.63061	−	13.2166i	0.247831	−	0.429255i
$949$	13.0821	−	7.06639i	0.424665	−	0.229385i
$950$	−1.22371	+	0.706508i	−0.0397023	+	0.0229222i
$951$	6.46983	−	6.46983i	0.209799	−	0.209799i
$952$	6.71834	−	6.13295i	0.217743	−	0.198770i
$953$		−	6.31913i		−	0.204697i	−0.994749	−	0.102348i	$-0.967364\pi$
$953$		−	6.31913i		−	0.204697i	0.994749	−	0.102348i	$-0.0326357\pi$
$954$	0.0505005	−	0.188471i	0.00163502	−	0.00610196i
$955$	15.8797	+	59.2639i	0.513856	+	1.91774i
$956$	0.798438	+	2.97981i	0.0258233	+	0.0963739i
$957$	−2.69915	+	10.0734i	−0.0872510	+	0.325625i
$958$			6.29227i			0.203294i
$959$	−38.6237	+	35.2583i	−1.24723	+	1.13855i
$960$	11.1524	−	11.1524i	0.359942	−	0.359942i
$961$	−43.6906	+	25.2248i	−1.40938	+	0.813703i
$962$	−0.957699	+	3.20761i	−0.0308775	+	0.103418i
$963$	−5.10563	+	8.84320i	−0.164527	+	0.284968i
$964$	−19.3408	−	5.18234i	−0.622924	−	0.166912i
$965$			37.4476i			1.20548i
$966$	−3.80201	+	0.835362i	−0.122328	+	0.0268773i
$967$	−26.8293	−	26.8293i	−0.862771	−	0.862771i	0.128888	−	0.991659i	$-0.458859\pi$
$967$	−26.8293	−	26.8293i	−0.862771	−	0.862771i	−0.991659	+	0.128888i	$0.958859\pi$
$968$	2.26073	−	8.43715i	0.0726626	−	0.271180i
$969$	−12.2337	+	3.27802i	−0.393005	+	0.105305i
$970$	−1.21434	−	4.53197i	−0.0389900	−	0.145513i
$971$	44.4611	−	25.6696i	1.42683	−	0.823778i	0.429957	−	0.902849i	$-0.358529\pi$
$971$	44.4611	−	25.6696i	1.42683	−	0.823778i	0.996869	+	0.0790713i	$0.0251955\pi$
$972$	−1.92585			−0.0617715
$973$	−20.9170	+	10.8386i	−0.670570	+	0.347470i
$974$		−	8.50140i		−	0.272402i
$975$	3.26278	+	3.45320i	0.104493	+	0.110591i
$976$	3.36051	+	1.94019i	0.107567	+	0.0621040i
$977$	32.7329	−	8.77076i	1.04722	−	0.280601i	0.306117	−	0.951994i	$-0.400970\pi$
$977$	32.7329	−	8.77076i	1.04722	−	0.280601i	0.741102	+	0.671392i	$0.234303\pi$
$978$	3.81683	−	2.20365i	0.122049	−	0.0704648i
$979$	21.1528			0.676045
$980$	33.3914	−	5.75796i	1.06665	−	0.183931i
$981$	2.43191	+	2.43191i	0.0776450	+	0.0776450i
$982$	−6.23550	−	1.67080i	−0.198983	−	0.0533173i
$983$	10.1246	−	2.71287i	0.322923	−	0.0865271i	−0.0937158	−	0.995599i	$-0.529875\pi$
$983$	10.1246	−	2.71287i	0.322923	−	0.0865271i	0.416639	+	0.909072i	$0.363208\pi$
$984$	−0.576207	+	0.998019i	−0.0183688	+	0.0318157i
$985$	−29.9046	−	51.7962i	−0.952838	−	1.65036i
$986$	−3.83941	−	3.83941i	−0.122272	−	0.122272i
$987$	16.3879	+	5.20109i	0.521631	+	0.165552i
$988$	−23.2844	−	14.3381i	−0.740774	−	0.456157i
$989$	15.1862	+	26.3033i	0.482894	+	0.836396i
$990$	−0.297982	−	1.11208i	−0.00947050	−	0.0353444i
$991$	0.445132	−	0.770992i	0.0141401	−	0.0244914i	−0.858869	−	0.512196i	$-0.828832\pi$
$991$	0.445132	−	0.770992i	0.0141401	−	0.0244914i	0.873009	+	0.487704i	$0.162166\pi$
$992$	−14.0234	−	24.2892i	−0.445243	−	0.771184i
$993$	12.7744	−	12.7744i	0.405383	−	0.405383i
$994$	−5.18603	−	3.31764i	−0.164491	−	0.105229i
$995$	22.6877	−	22.6877i	0.719247	−	0.719247i
$996$	−26.4332	−	7.08274i	−0.837567	−	0.224425i
$997$	−24.4661	−	14.1255i	−0.774850	−	0.447360i	0.0597519	−	0.998213i	$-0.480969\pi$
$997$	−24.4661	−	14.1255i	−0.774850	−	0.447360i	−0.834602	+	0.550853i	$0.814302\pi$
$998$	8.86521	+	5.11833i	0.280623	+	0.162018i
$999$	0.882434	−	3.29329i	0.0279190	−	0.104195i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.a.73.6	✓	36
3.2	odd	2		819.2.fn.f.73.4		36
7.5	odd	6		273.2.bz.b.229.4	yes	36
13.5	odd	4		273.2.bz.b.31.4	yes	36
21.5	even	6		819.2.fn.g.775.6		36
39.5	even	4		819.2.fn.g.577.6		36
91.5	even	12	inner	273.2.bz.a.187.6	yes	36
273.5	odd	12		819.2.fn.f.460.4		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.73.6	✓	36	1.1	even	1	trivial
273.2.bz.a.187.6	yes	36	91.5	even	12	inner
273.2.bz.b.31.4	yes	36	13.5	odd	4
273.2.bz.b.229.4	yes	36	7.5	odd	6
819.2.fn.f.73.4		36	3.2	odd	2
819.2.fn.f.460.4		36	273.5	odd	12
819.2.fn.g.577.6		36	39.5	even	4
819.2.fn.g.775.6		36	21.5	even	6

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0704795 - 0.263033i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.66783 + 0.962923i) q^{4} +(-2.42785 - 0.650540i) q^{5} +(0.192554 - 0.192554i) q^{6} +(1.21724 + 2.34911i) q^{7} +(0.755936 - 0.755936i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.0704795 - 0.263033i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.66783 + 0.962923i) q^{4} +(-2.42785 - 0.650540i) q^{5} +(0.192554 - 0.192554i) q^{6} +(1.21724 + 2.34911i) q^{7} +(0.755936 - 0.755936i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.342227 + 0.592755i) q^{10} +(0.435358 + 1.62478i) q^{11} +(0.962923 + 1.66783i) q^{12} +(3.50774 - 0.834105i) q^{13} +(0.703685 - 0.154611i) q^{14} +(-1.77731 - 1.77731i) q^{15} +(1.78029 + 3.08355i) q^{16} +(1.60806 - 2.78524i) q^{17} +(0.263033 - 0.0704795i) q^{18} +(-3.80388 - 1.01925i) q^{19} +(-3.42282 - 3.42282i) q^{20} +(-0.120393 + 2.64301i) q^{21} +0.458054 q^{22} +(-4.67914 + 2.70150i) q^{23} +(1.03263 - 0.276692i) q^{24} +(1.14111 + 0.658821i) q^{25} +(0.0278270 - 0.981440i) q^{26} +1.00000i q^{27} +(-0.231859 + 5.09003i) q^{28} +6.19984 q^{29} +(-0.592755 + 0.342227i) q^{30} +(-2.33583 - 8.71743i) q^{31} +(3.00181 - 0.804331i) q^{32} +(-0.435358 + 1.62478i) q^{33} +(-0.619276 - 0.619276i) q^{34} +(-1.42709 - 6.49515i) q^{35} +1.92585i q^{36} +(-3.29329 - 0.882434i) q^{37} +(-0.536191 + 0.928711i) q^{38} +(3.45485 + 1.03152i) q^{39} +(-2.32706 + 1.34353i) q^{40} +(-0.762243 + 0.762243i) q^{41} +(0.686714 + 0.217946i) q^{42} -5.62140i q^{43} +(-0.838432 + 3.12907i) q^{44} +(-0.650540 - 2.42785i) q^{45} +(0.380801 + 1.42117i) q^{46} +(1.68194 - 6.27707i) q^{47} +3.56058i q^{48} +(-4.03664 + 5.71887i) q^{49} +(0.253717 - 0.253717i) q^{50} +(2.78524 - 1.60806i) q^{51} +(6.65351 + 1.98654i) q^{52} +(0.358264 - 0.620531i) q^{53} +(0.263033 + 0.0704795i) q^{54} -4.22793i q^{55} +(2.69593 + 0.855621i) q^{56} +(-2.78463 - 2.78463i) q^{57} +(0.436962 - 1.63076i) q^{58} +(-9.44933 + 2.53194i) q^{59} +(-1.25284 - 4.67566i) q^{60} +(0.943810 - 0.544909i) q^{61} -2.45760 q^{62} +(-1.42577 + 2.22872i) q^{63} +6.27489i q^{64} +(-9.05888 - 0.256848i) q^{65} +(0.396686 + 0.229027i) q^{66} +(-2.12507 + 0.569411i) q^{67} +(5.36395 - 3.09688i) q^{68} -5.40300 q^{69} +(-1.80902 - 0.0824036i) q^{70} +(-6.04224 - 6.04224i) q^{71} +(1.03263 + 0.276692i) q^{72} +(3.98330 - 1.06732i) q^{73} +(-0.464219 + 0.804051i) q^{74} +(0.658821 + 1.14111i) q^{75} +(-5.36278 - 5.36278i) q^{76} +(-3.28684 + 3.00045i) q^{77} +(0.514819 - 0.836039i) q^{78} +(-3.96221 - 6.86275i) q^{79} +(-2.31630 - 8.64453i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.146773 + 0.254218i) q^{82} +(-10.0477 + 10.0477i) q^{83} +(-2.74581 + 4.29217i) q^{84} +(-5.71604 + 5.71604i) q^{85} +(-1.47862 - 0.396194i) q^{86} +(5.36922 + 3.09992i) q^{87} +(1.55733 + 0.899125i) q^{88} +(3.25472 - 12.1468i) q^{89} -0.684454 q^{90} +(6.22918 + 7.22477i) q^{91} -10.4053 q^{92} +(2.33583 - 8.71743i) q^{93} +(-1.53254 - 0.884810i) q^{94} +(8.57218 + 4.94915i) q^{95} +(3.00181 + 0.804331i) q^{96} +(-4.84712 + 4.84712i) q^{97} +(1.21975 + 1.46484i) q^{98} +(-1.18942 + 1.18942i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q - 6 * q^7 + 18 * q^9	\( 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

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