LMFDB - Embedded newform 315.2.cb.a.97.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [315,2,Mod(13,315)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(315, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9, 6]))

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

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

chi := DirichletCharacter("315.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 315 = 3^{2} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	315.cb (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:	$2.51528766367$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.5
Character	$\chi$	$=$	315.97
Dual form			315.2.cb.a.13.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.12971 + 0.570655i) q^{2} +(-0.712199 + 1.57885i) q^{3} +(2.47798 - 1.43066i) q^{4} +(0.544352 - 2.16880i) q^{5} +(0.615799 - 3.76892i) q^{6} +(-0.222357 + 2.63639i) q^{7} +(-1.34285 + 1.34285i) q^{8} +(-1.98555 - 2.24891i) q^{9} +O(q^{10})$	\(q+(-2.12971 + 0.570655i) q^{2} +(-0.712199 + 1.57885i) q^{3} +(2.47798 - 1.43066i) q^{4} +(0.544352 - 2.16880i) q^{5} +(0.615799 - 3.76892i) q^{6} +(-0.222357 + 2.63639i) q^{7} +(-1.34285 + 1.34285i) q^{8} +(-1.98555 - 2.24891i) q^{9} +(0.0783216 + 4.92955i) q^{10} +(-0.876372 + 1.51792i) q^{11} +(0.493990 + 4.93127i) q^{12} +(-0.812378 + 3.03183i) q^{13} +(-1.03091 - 5.74164i) q^{14} +(3.03652 + 2.40407i) q^{15} +(-0.767742 + 1.32977i) q^{16} +(-2.30636 + 2.30636i) q^{17} +(5.51199 + 3.65647i) q^{18} +3.57294 q^{19} +(-1.75392 - 6.15301i) q^{20} +(-4.00411 - 2.22870i) q^{21} +(1.00021 - 3.73284i) q^{22} +(-5.32424 - 1.42663i) q^{23} +(-1.16378 - 3.07654i) q^{24} +(-4.40736 - 2.36118i) q^{25} -6.92052i q^{26} +(4.96480 - 1.53321i) q^{27} +(3.22079 + 6.85103i) q^{28} +(-6.02234 - 3.47700i) q^{29} +(-7.83881 - 3.38716i) q^{30} +(-6.71758 + 3.87840i) q^{31} +(1.85926 - 6.93887i) q^{32} +(-1.77242 - 2.46472i) q^{33} +(3.59574 - 6.22801i) q^{34} +(5.59676 + 1.91737i) q^{35} +(-8.13757 - 2.73211i) q^{36} +(0.170853 + 0.170853i) q^{37} +(-7.60934 + 2.03892i) q^{38} +(-4.20824 - 3.44189i) q^{39} +(2.18139 + 3.64335i) q^{40} +(1.26037 - 0.727677i) q^{41} +(9.79942 + 2.46153i) q^{42} +(-2.05207 - 7.65841i) q^{43} +5.01517i q^{44} +(-5.95827 + 3.08205i) q^{45} +12.1532 q^{46} +(2.21504 + 8.26663i) q^{47} +(-1.55272 - 2.15921i) q^{48} +(-6.90112 - 1.17244i) q^{49} +(10.7338 + 2.51355i) q^{50} +(-1.99881 - 5.28398i) q^{51} +(2.32447 + 8.67505i) q^{52} +(-9.80072 + 9.80072i) q^{53} +(-9.69867 + 6.09849i) q^{54} +(2.81501 + 2.72696i) q^{55} +(-3.24168 - 3.83887i) q^{56} +(-2.54465 + 5.64115i) q^{57} +(14.8100 + 3.96833i) q^{58} +(3.13922 + 5.43728i) q^{59} +(10.9638 + 1.61298i) q^{60} +(-1.32933 - 0.767487i) q^{61} +(12.0933 - 12.0933i) q^{62} +(6.37051 - 4.73462i) q^{63} +12.7678i q^{64} +(6.13321 + 3.41227i) q^{65} +(5.18126 + 4.23771i) q^{66} +(0.866492 - 3.23379i) q^{67} +(-2.41548 + 9.01471i) q^{68} +(6.04434 - 7.39014i) q^{69} +(-13.0136 - 0.889632i) q^{70} +8.05964 q^{71} +(5.68624 + 0.353660i) q^{72} +(-5.55668 - 5.55668i) q^{73} +(-0.461366 - 0.266370i) q^{74} +(6.86687 - 5.27695i) q^{75} +(8.85367 - 5.11167i) q^{76} +(-3.80697 - 2.64798i) q^{77} +(10.9265 + 4.92879i) q^{78} +(12.3685 + 7.14098i) q^{79} +(2.46607 + 2.38894i) q^{80} +(-1.11521 + 8.93064i) q^{81} +(-2.26898 + 2.26898i) q^{82} +(-9.90736 + 2.65467i) q^{83} +(-13.1106 + 0.205849i) q^{84} +(3.74655 + 6.25749i) q^{85} +(8.74062 + 15.1392i) q^{86} +(9.77877 - 7.03207i) q^{87} +(-0.861504 - 3.21518i) q^{88} -7.95210 q^{89} +(10.9306 - 9.96399i) q^{90} +(-7.81246 - 2.81589i) q^{91} +(-15.2344 + 4.08203i) q^{92} +(-1.33916 - 13.3683i) q^{93} +(-9.43478 - 16.3415i) q^{94} +(1.94494 - 7.74899i) q^{95} +(9.63128 + 7.87736i) q^{96} +(-1.61964 - 6.04459i) q^{97} +(15.3664 - 1.44120i) q^{98} +(5.15375 - 1.04302i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

$n$	$127$	$136$	$281$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−2.12971	+	0.570655i	−1.50593	+	0.403514i	−0.915083	−	0.403267i	$-0.867875\pi$
$2$	−2.12971	+	0.570655i	−1.50593	+	0.403514i	−0.590851	+	0.806780i	$0.701208\pi$
$3$	−0.712199	+	1.57885i	−0.411188	+	0.911551i
$3$	−0.712199	+	1.57885i	−0.411188	+	0.911551i
$4$	2.47798	−	1.43066i	1.23899	−	0.715330i
$5$	0.544352	−	2.16880i	0.243442	−	0.969916i
$5$	0.544352	−	2.16880i	0.243442	−	0.969916i
$6$	0.615799	−	3.76892i	0.251399	−	1.53866i
$7$	−0.222357	+	2.63639i	−0.0840429	+	0.996462i
$7$	−0.222357	+	2.63639i	−0.0840429	+	0.996462i
$8$	−1.34285	+	1.34285i	−0.474769	+	0.474769i
$9$	−1.98555	−	2.24891i	−0.661849	−	0.749637i
$10$	0.0783216	+	4.92955i	0.0247675	+	1.55886i
$11$	−0.876372	+	1.51792i	−0.264236	+	0.457671i	−0.967363	−	0.253394i	$-0.918453\pi$
$11$	−0.876372	+	1.51792i	−0.264236	+	0.457671i	0.703127	+	0.711064i	$0.251787\pi$
$12$	0.493990	+	4.93127i	0.142603	+	1.42354i
$13$	−0.812378	+	3.03183i	−0.225313	+	0.840880i	0.756966	+	0.653454i	$0.226681\pi$
$13$	−0.812378	+	3.03183i	−0.225313	+	0.840880i	−0.982279	+	0.187425i	$0.939986\pi$
$14$	−1.03091	−	5.74164i	−0.275523	−	1.53452i
$15$	3.03652	+	2.40407i	0.784027	+	0.620727i
$16$	−0.767742	+	1.32977i	−0.191935	+	0.332442i
$17$	−2.30636	+	2.30636i	−0.559374	+	0.559374i	−0.929129	−	0.369755i	$-0.879441\pi$
$17$	−2.30636	+	2.30636i	−0.559374	+	0.559374i	0.369755	+	0.929129i	$0.379441\pi$
$18$	5.51199	+	3.65647i	1.29919	+	0.861839i
$19$	3.57294			0.819690			0.409845	−	0.912155i	$-0.365583\pi$
$19$	3.57294			0.819690			0.409845	+	0.912155i	$0.365583\pi$
$20$	−1.75392	−	6.15301i	−0.392189	−	1.37586i
$21$	−4.00411	−	2.22870i	−0.873768	−	0.486343i
$22$	1.00021	−	3.73284i	0.213246	−	0.795845i
$23$	−5.32424	−	1.42663i	−1.11018	−	0.297472i	−0.343277	−	0.939234i	$-0.611537\pi$
$23$	−5.32424	−	1.42663i	−1.11018	−	0.297472i	−0.766904	+	0.641762i	$0.778204\pi$
$24$	−1.16378	−	3.07654i	−0.237557	−	0.627995i
$25$	−4.40736	−	2.36118i	−0.881472	−	0.472235i
$26$		−	6.92052i		−	1.35723i
$27$	4.96480	−	1.53321i	0.955477	−	0.295067i
$28$	3.22079	+	6.85103i	0.608671	+	1.29472i
$29$	−6.02234	−	3.47700i	−1.11832	−	0.645662i	−0.177349	−	0.984148i	$-0.556752\pi$
$29$	−6.02234	−	3.47700i	−1.11832	−	0.645662i	−0.940972	+	0.338486i	$0.890085\pi$
$30$	−7.83881	−	3.38716i	−1.43116	−	0.618408i
$31$	−6.71758	+	3.87840i	−1.20651	+	0.696581i	−0.961996	−	0.273064i	$-0.911963\pi$
$31$	−6.71758	+	3.87840i	−1.20651	+	0.696581i	−0.244517	+	0.969645i	$0.578630\pi$
$32$	1.85926	−	6.93887i	0.328675	−	1.22663i
$33$	−1.77242	−	2.46472i	−0.308539	−	0.429053i
$34$	3.59574	−	6.22801i	0.616665	−	1.06809i
$35$	5.59676	+	1.91737i	0.946025	+	0.324095i
$36$	−8.13757	−	2.73211i	−1.35626	−	0.455351i
$37$	0.170853	+	0.170853i	0.0280881	+	0.0280881i	0.721011	−	0.692923i	$-0.243678\pi$
$37$	0.170853	+	0.170853i	0.0280881	+	0.0280881i	−0.692923	+	0.721011i	$0.743678\pi$
$38$	−7.60934	+	2.03892i	−1.23440	+	0.330756i
$39$	−4.20824	−	3.44189i	−0.673858	−	0.551144i
$40$	2.18139	+	3.64335i	0.344907	+	0.576064i
$41$	1.26037	−	0.727677i	0.196837	−	0.113644i	−0.398342	−	0.917237i	$-0.630414\pi$
$41$	1.26037	−	0.727677i	0.196837	−	0.113644i	0.595179	+	0.803593i	$0.297081\pi$
$42$	9.79942	+	2.46153i	1.51208	+	0.379822i
$43$	−2.05207	−	7.65841i	−0.312937	−	1.16790i	−0.925895	−	0.377781i	$-0.876687\pi$
$43$	−2.05207	−	7.65841i	−0.312937	−	1.16790i	0.612958	−	0.790116i	$-0.289980\pi$
$44$			5.01517i			0.756065i
$45$	−5.95827	+	3.08205i	−0.888206	+	0.459445i
$46$	12.1532			1.79189
$47$	2.21504	+	8.26663i	0.323096	+	1.20581i	0.916212	+	0.400694i	$0.131231\pi$
$47$	2.21504	+	8.26663i	0.323096	+	1.20581i	−0.593115	+	0.805117i	$0.702102\pi$
$48$	−1.55272	−	2.15921i	−0.224116	−	0.311655i
$49$	−6.90112	−	1.17244i	−0.985874	−	0.167491i
$50$	10.7338	+	2.51355i	1.51799	+	0.355469i
$51$	−1.99881	−	5.28398i	−0.279890	−	0.739905i
$52$	2.32447	+	8.67505i	0.322346	+	1.20301i
$53$	−9.80072	+	9.80072i	−1.34623	+	1.34623i	−0.456518	+	0.889714i	$0.650904\pi$
$53$	−9.80072	+	9.80072i	−1.34623	+	1.34623i	−0.889714	+	0.456518i	$0.849096\pi$
$54$	−9.69867	+	6.09849i	−1.31982	+	0.829899i
$55$	2.81501	+	2.72696i	0.379576	+	0.367703i
$56$	−3.24168	−	3.83887i	−0.433188	−	0.512990i
$57$	−2.54465	+	5.64115i	−0.337047	+	0.747188i
$58$	14.8100	+	3.96833i	1.94465	+	0.521067i
$59$	3.13922	+	5.43728i	0.408691	+	0.707874i	0.994743	−	0.102400i	$-0.0326520\pi$
$59$	3.13922	+	5.43728i	0.408691	+	0.707874i	−0.586052	+	0.810273i	$0.699319\pi$
$60$	10.9638	+	1.61298i	1.41542	+	0.208235i
$61$	−1.32933	−	0.767487i	−0.170203	−	0.0982666i	0.412479	−	0.910967i	$-0.364663\pi$
$61$	−1.32933	−	0.767487i	−0.170203	−	0.0982666i	−0.582681	+	0.812701i	$0.697996\pi$
$62$	12.0933	−	12.0933i	1.53585	−	1.53585i
$63$	6.37051	−	4.73462i	0.802609	−	0.596506i
$64$			12.7678i			1.59598i
$65$	6.13321	+	3.41227i	0.760732	+	0.423240i
$66$	5.18126	+	4.23771i	0.637768	+	0.521626i
$67$	0.866492	−	3.23379i	0.105859	−	0.395070i	−0.892582	−	0.450884i	$-0.851109\pi$
$67$	0.866492	−	3.23379i	0.105859	−	0.395070i	0.998441	+	0.0558139i	$0.0177754\pi$
$68$	−2.41548	+	9.01471i	−0.292921	+	1.09319i
$69$	6.04434	−	7.39014i	0.727654	−	0.889669i
$70$	−13.0136	−	0.889632i	−1.55543	−	0.106331i
$71$	8.05964			0.956504			0.478252	−	0.878223i	$-0.341271\pi$
$71$	8.05964			0.956504			0.478252	+	0.878223i	$0.341271\pi$
$72$	5.68624	+	0.353660i	0.670130	+	0.0416793i
$73$	−5.55668	−	5.55668i	−0.650361	−	0.650361i	0.302719	−	0.953080i	$-0.402106\pi$
$73$	−5.55668	−	5.55668i	−0.650361	−	0.650361i	−0.953080	+	0.302719i	$0.902106\pi$
$74$	−0.461366	−	0.266370i	−0.0536327	−	0.0309649i
$75$	6.86687	−	5.27695i	0.792917	−	0.609329i
$76$	8.85367	−	5.11167i	1.01559	−	0.586349i
$77$	−3.80697	−	2.64798i	−0.433844	−	0.301765i
$78$	10.9265	+	4.92879i	1.23718	+	0.558075i
$79$	12.3685	+	7.14098i	1.39157	+	0.803423i	0.993489	−	0.113927i	$-0.0363431\pi$
$79$	12.3685	+	7.14098i	1.39157	+	0.803423i	0.398081	+	0.917350i	$0.369676\pi$
$80$	2.46607	+	2.38894i	0.275716	+	0.267091i
$81$	−1.11521	+	8.93064i	−0.123912	+	0.992293i
$82$	−2.26898	+	2.26898i	−0.250567	+	0.250567i
$83$	−9.90736	+	2.65467i	−1.08747	+	0.291388i	−0.757654	−	0.652656i	$-0.773655\pi$
$83$	−9.90736	+	2.65467i	−1.08747	+	0.291388i	−0.329820	+	0.944044i	$0.606988\pi$
$84$	−13.1106	+	0.205849i	−1.43048	+	0.0224600i
$85$	3.74655	+	6.25749i	0.406370	+	0.678720i
$86$	8.74062	+	15.1392i	0.942525	+	1.63250i
$87$	9.77877	−	7.03207i	1.04839	−	0.753917i
$88$	−0.861504	−	3.21518i	−0.0918366	−	0.342739i
$89$	−7.95210			−0.842921			−0.421461	−	0.906847i	$-0.638482\pi$
$89$	−7.95210			−0.842921			−0.421461	+	0.906847i	$0.638482\pi$
$90$	10.9306	−	9.96399i	1.15219	−	1.05030i
$91$	−7.81246	−	2.81589i	−0.818969	−	0.295186i
$92$	−15.2344	+	4.08203i	−1.58829	+	0.425581i
$93$	−1.33916	−	13.3683i	−0.138865	−	1.38622i
$94$	−9.43478	−	16.3415i	−0.973124	−	1.68550i
$95$	1.94494	−	7.74899i	0.199546	−	0.795030i
$96$	9.63128	+	7.87736i	0.982989	+	0.803979i
$97$	−1.61964	−	6.04459i	−0.164450	−	0.613735i	−0.998110	−	0.0614571i	$-0.980425\pi$
$97$	−1.61964	−	6.04459i	−0.164450	−	0.613735i	0.833660	−	0.552278i	$-0.186241\pi$
$98$	15.3664	−	1.44120i	1.55225	−	0.145583i
$99$	5.15375	−	1.04302i	0.517971	−	0.104827i
$100$	−14.2994	+	0.454497i	−1.42994	+	0.0454497i
$101$	8.28600	+	4.78393i	0.824488	+	0.476018i	0.851962	−	0.523604i	$-0.175413\pi$
$101$	8.28600	+	4.78393i	0.824488	+	0.476018i	−0.0274735	+	0.999623i	$0.508746\pi$
$102$	7.27222	+	10.1127i	0.720057	+	1.00131i
$103$	−0.482767	+	1.80171i	−0.0475684	+	0.177528i	−0.985623	−	0.168960i	$-0.945959\pi$
$103$	−0.482767	+	1.80171i	−0.0475684	+	0.177528i	0.938054	+	0.346488i	$0.112626\pi$
$104$	−2.98040	−	5.16220i	−0.292252	−	0.506195i
$105$	−7.01325	+	7.47090i	−0.684423	+	0.729085i
$106$	15.2799	−	26.4655i	1.48411	−	2.57056i
$107$	8.48589	+	8.48589i	0.820362	+	0.820362i	0.986160	−	0.165798i	$-0.0530200\pi$
$107$	8.48589	+	8.48589i	0.820362	+	0.820362i	−0.165798	+	0.986160i	$0.553020\pi$
$108$	10.1092	−	10.9022i	0.972754	−	1.04907i
$109$			3.69213i			0.353642i	0.984243	+	0.176821i	$0.0565813\pi$
$109$			3.69213i			0.353642i	−0.984243	+	0.176821i	$0.943419\pi$
$110$	−7.55131	−	4.20124i	−0.719989	−	0.400572i
$111$	−0.391433	+	0.148070i	−0.0371532	+	0.0140542i
$112$	−3.33507	−	2.31975i	−0.315135	−	0.219196i
$113$	−4.09519	−	1.09730i	−0.385243	−	0.103225i	0.0609993	−	0.998138i	$-0.480571\pi$
$113$	−4.09519	−	1.09730i	−0.385243	−	0.103225i	−0.446242	+	0.894912i	$0.647238\pi$
$114$	2.20021	−	13.4661i	0.206069	−	1.26122i
$115$	−5.99232	+	10.7706i	−0.558787	+	1.00436i
$116$	−19.8976			−1.84745
$117$	8.43134	−	4.19288i	0.779478	−	0.387632i
$118$	−9.78844	−	9.78844i	−0.901099	−	0.901099i
$119$	−5.56762	−	6.59329i	−0.510383	−	0.604406i
$120$	−7.30589	+	0.849296i	−0.666933	+	0.0775297i
$121$	3.96394	+	6.86575i	0.360358	+	0.624159i
$122$	3.26905	+	0.875940i	0.295966	+	0.0793038i
$123$	0.251258	+	2.50819i	0.0226552	+	0.226156i
$124$	−11.0973	+	19.2212i	−0.996571	+	1.72611i
$125$	−7.52007	+	8.27336i	−0.672615	+	0.739992i
$126$	−10.8655	+	13.7187i	−0.967978	+	1.22216i
$127$	−5.77752	−	5.77752i	−0.512672	−	0.512672i	0.402672	−	0.915344i	$-0.368081\pi$
$127$	−5.77752	−	5.77752i	−0.512672	−	0.512672i	−0.915344	+	0.402672i	$0.868081\pi$
$128$	−3.56749	−	13.3141i	−0.315325	−	1.17681i
$129$	13.5530	+	2.21440i	1.19327	+	0.194967i
$130$	−15.0092	−	3.76720i	−1.31639	−	0.330405i
$131$	−11.8905	+	6.86501i	−1.03888	+	0.599799i	−0.919516	−	0.393052i	$-0.871419\pi$
$131$	−11.8905	+	6.86501i	−1.03888	+	0.599799i	−0.119365	+	0.992850i	$0.538086\pi$
$132$	−7.91820	−	3.57179i	−0.689191	−	0.310885i
$133$	−0.794468	+	9.41968i	−0.0688891	+	0.816790i
$134$			7.38151i			0.637665i
$135$	−0.622627	−	11.6023i	−0.0535872	−	0.998563i
$136$		−	6.19418i		−	0.531147i
$137$	2.13216	−	0.571311i	0.182163	−	0.0488104i	−0.166584	−	0.986027i	$-0.553274\pi$
$137$	2.13216	−	0.571311i	0.182163	−	0.0488104i	0.348747	+	0.937217i	$0.386607\pi$
$138$	−8.65550	+	19.1881i	−0.736805	+	1.63340i
$139$	3.06051	+	5.30095i	0.259589	+	0.449621i	0.966132	−	0.258049i	$-0.0830797\pi$
$139$	3.06051	+	5.30095i	0.259589	+	0.449621i	−0.706543	+	0.707670i	$0.749746\pi$
$140$	16.6117	−	3.25586i	1.40395	−	0.275170i
$141$	−14.6293	−	2.39027i	−1.23201	−	0.201297i
$142$	−17.1647	+	4.59927i	−1.44043	+	0.385962i
$143$	−3.89014	−	3.89014i	−0.325310	−	0.325310i
$144$	4.51492	−	0.913732i	0.376243	−	0.0761443i
$145$	−10.8192	+	11.1685i	−0.898484	+	0.927495i
$146$	15.0051	+	8.66319i	1.24183	+	0.716971i
$147$	6.76607	−	10.0608i	0.558056	−	0.829803i
$148$	0.667803	+	0.178937i	0.0548930	+	0.0147085i
$149$	10.7410	−	6.20133i	0.879938	−	0.508032i	0.00929995	−	0.999957i	$-0.497040\pi$
$149$	10.7410	−	6.20133i	0.879938	−	0.508032i	0.870638	+	0.491924i	$0.163706\pi$
$150$	−11.6131	+	15.1570i	−0.948209	+	1.23756i
$151$	6.93222	−	12.0070i	0.564136	−	0.977112i	−0.432994	−	0.901397i	$-0.642543\pi$
$151$	6.93222	−	12.0070i	0.564136	−	0.977112i	0.997129	−	0.0757150i	$-0.0241239\pi$
$152$	−4.79793	+	4.79793i	−0.389163	+	0.389163i
$153$	9.76617	+	0.607415i	0.789548	+	0.0491066i
$154$	9.61883	+	3.46697i	0.775107	+	0.279377i
$155$	4.75473	+	16.6803i	0.381909	+	1.33979i
$156$	−15.3521	−	2.50836i	−1.22915	−	0.200830i
$157$	10.6638	+	2.85737i	0.851067	+	0.228043i	0.657883	−	0.753120i	$-0.271452\pi$
$157$	10.6638	+	2.85737i	0.851067	+	0.228043i	0.193184	+	0.981163i	$0.438119\pi$
$158$	−30.4165	−	8.15007i	−2.41980	−	0.648385i
$159$	−8.49383	−	22.4539i	−0.673604	−	1.78071i
$160$	−14.0369	−	7.80955i	−1.10972	−	0.617399i
$161$	4.94502	−	13.7196i	0.389722	−	1.08125i
$162$	−2.72123	−	19.6561i	−0.213800	−	1.54433i
$163$	−9.51744	+	9.51744i	−0.745463	+	0.745463i	−0.973624	−	0.228160i	$-0.926729\pi$
$163$	−9.51744	+	9.51744i	−0.745463	+	0.745463i	0.228160	+	0.973624i	$0.426729\pi$
$164$	2.08212	−	3.60633i	0.162586	−	0.281607i
$165$	−6.31031	+	2.50235i	−0.491257	+	0.194807i
$166$	19.5849	−	11.3074i	1.52009	−	0.877622i
$167$	−2.98365	−	0.799467i	−0.230882	−	0.0618646i	0.141523	−	0.989935i	$-0.454800\pi$
$167$	−2.98365	−	0.799467i	−0.230882	−	0.0618646i	−0.372405	+	0.928070i	$0.621467\pi$
$168$	8.36973	−	2.38410i	0.645738	−	0.183938i
$169$	2.72627	+	1.57401i	0.209713	+	0.121078i
$170$	−11.5499	−	11.1887i	−0.885840	−	0.858131i
$171$	−7.09425	−	8.03524i	−0.542511	−	0.614470i
$172$	−16.0416	−	16.0416i	−1.22316	−	1.22316i
$173$	22.2701	−	5.96726i	1.69317	−	0.453682i	0.721962	−	0.691933i	$-0.243241\pi$
$173$	22.2701	−	5.96726i	1.69317	−	0.453682i	0.971204	+	0.238251i	$0.0765740\pi$
$174$	−16.8131	+	20.5566i	−1.27460	+	1.55839i
$175$	7.20499	−	11.0945i	0.544646	−	0.838666i
$176$	−1.34566	−	2.33074i	−0.101433	−	0.175686i
$177$	−10.8204	+	1.08393i	−0.813312	+	0.0814734i
$178$	16.9357	−	4.53790i	1.26938	−	0.340130i
$179$		−	7.45699i		−	0.557362i	−0.960384	−	0.278681i	$-0.910103\pi$
$179$		−	7.45699i		−	0.557362i	0.960384	−	0.278681i	$-0.0898971\pi$
$180$	−10.3551	+	16.1615i	−0.771823	+	1.20461i
$181$			5.81736i			0.432401i	0.976349	+	0.216201i	$0.0693665\pi$
$181$			5.81736i			0.432401i	−0.976349	+	0.216201i	$0.930633\pi$
$182$	18.2452	+	1.53882i	1.35242	+	0.114065i
$183$	2.15849	−	1.55221i	0.159560	−	0.114742i
$184$	9.06539	−	5.23391i	0.668310	−	0.385849i
$185$	0.463550	−	0.277541i	0.0340809	−	0.0204053i
$186$	10.4807	+	27.7063i	0.768481	+	2.03153i
$187$	−1.47964	−	5.52210i	−0.108202	−	0.403816i
$188$	17.3156	+	17.3156i	1.26287	+	1.26287i
$189$	2.93819	+	13.4301i	0.213722	+	0.976895i
$190$	0.279839	+	17.6130i	0.0203016	+	1.27778i
$191$	5.63691	−	9.76342i	0.407873	−	0.706456i	−0.586778	−	0.809748i	$-0.699604\pi$
$191$	5.63691	−	9.76342i	0.407873	−	0.706456i	0.994651	+	0.103291i	$0.0329374\pi$
$192$	−20.1585	−	9.09323i	−1.45482	−	0.656247i
$193$	10.1409	+	2.71724i	0.729957	+	0.195591i	0.604610	−	0.796522i	$-0.293329\pi$
$193$	10.1409	+	2.71724i	0.729957	+	0.195591i	0.125347	+	0.992113i	$0.459996\pi$
$194$	6.89875	+	11.9490i	0.495301	+	0.857887i
$195$	−9.75553	+	7.25323i	−0.698608	+	0.519414i
$196$	−18.7782	+	6.96788i	−1.34130	+	0.497706i
$197$	−1.41022	−	1.41022i	−0.100474	−	0.100474i	0.655083	−	0.755557i	$-0.272634\pi$
$197$	−1.41022	−	1.41022i	−0.100474	−	0.100474i	−0.755557	+	0.655083i	$0.772634\pi$
$198$	−10.3808	+	5.16234i	−0.737731	+	0.366872i
$199$	18.0015			1.27609			0.638046	−	0.769998i	$-0.279743\pi$
$199$	18.0015			1.27609			0.638046	+	0.769998i	$0.279743\pi$
$200$	9.08913	−	2.74772i	0.642699	−	0.194293i
$201$	4.48856	+	3.67116i	0.316599	+	0.258944i
$202$	−20.3768	−	5.45994i	−1.43370	−	0.384160i
$203$	10.5058	−	15.1041i	0.737365	−	1.06010i
$204$	−12.5126	−	10.2340i	−0.876057	−	0.716520i
$205$	−0.892097	−	3.12960i	−0.0623067	−	0.218581i
$206$		−	4.11262i		−	0.286540i
$207$	7.36317	+	14.8064i	0.511776	+	1.02911i
$208$	−3.40794	−	3.40794i	−0.236298	−	0.236298i
$209$	−3.13123	+	5.42345i	−0.216592	+	0.375148i
$210$	10.6729	−	19.9130i	0.736499	−	1.37413i
$211$	−2.80345	−	4.85572i	−0.192997	−	0.334281i	0.753245	−	0.657740i	$-0.228488\pi$
$211$	−2.80345	−	4.85572i	−0.192997	−	0.334281i	−0.946242	+	0.323459i	$0.895154\pi$
$212$	−10.2645	+	38.3075i	−0.704966	+	2.63097i
$213$	−5.74007	+	12.7250i	−0.393303	+	0.871901i
$214$	−22.9150	−	13.2300i	−1.56644	−	0.904383i
$215$	−17.7266	+	0.281643i	−1.20894	+	0.0192079i
$216$	−4.60811	+	8.72585i	−0.313542	+	0.593719i
$217$	−8.73127	−	18.5726i	−0.592717	−	1.26079i
$218$	−2.10693	−	7.86317i	−0.142699	−	0.532561i
$219$	12.7306	−	4.81572i	0.860257	−	0.325416i
$220$	10.8769	+	2.73001i	0.733319	+	0.184058i
$221$	−5.11886	−	8.86612i	−0.344332	−	0.596400i
$222$	0.749142	−	0.538720i	0.0502792	−	0.0361565i
$223$	27.4745	−	7.36177i	1.83983	−	0.492980i	0.840985	−	0.541059i	$-0.181976\pi$
$223$	27.4745	−	7.36177i	1.83983	−	0.492980i	0.998844	+	0.0480785i	$0.0153098\pi$
$224$	17.8802	+	6.44465i	1.19467	+	0.430601i
$225$	3.44094	+	14.6000i	0.229396	+	0.973333i
$226$	9.34775			0.621803
$227$	−1.84008	−	6.86726i	−0.122130	−	0.455796i	0.877591	−	0.479410i	$-0.159149\pi$
$227$	−1.84008	−	6.86726i	−0.122130	−	0.455796i	−0.999721	+	0.0236143i	$0.992483\pi$
$228$	1.76500	+	17.6192i	0.116890	+	1.16686i
$229$	4.36252	+	7.55611i	0.288284	+	0.499322i	0.973400	−	0.229112i	$-0.0735821\pi$
$229$	4.36252	+	7.55611i	0.288284	+	0.499322i	−0.685117	+	0.728433i	$0.740249\pi$
$230$	6.61562	−	26.3578i	0.436221	−	1.73798i
$231$	6.89208	−	4.12475i	0.453466	−	0.271389i
$232$	12.7562	−	3.41801i	0.837484	−	0.224403i
$233$	19.9337	−	19.9337i	1.30590	−	1.30590i	0.381549	−	0.924348i	$-0.375391\pi$
$233$	19.9337	−	19.9337i	1.30590	−	1.30590i	0.924348	−	0.381549i	$-0.124609\pi$
$234$	−15.5636	+	13.7410i	−1.01743	+	0.898278i
$235$	19.1344	−	0.304011i	1.24819	−	0.0198315i
$236$	15.5578	+	8.98230i	1.01273	+	0.584698i
$237$	−20.0834	+	14.4423i	−1.30456	+	0.938128i
$238$	15.6199	+	10.8646i	1.01249	+	0.704249i
$239$	−24.1018	+	13.9152i	−1.55901	+	0.900097i	−0.561661	+	0.827367i	$0.689838\pi$
$239$	−24.1018	+	13.9152i	−1.55901	+	0.900097i	−0.997352	+	0.0727294i	$0.976829\pi$
$240$	−5.52811	+	2.19217i	−0.356838	+	0.141504i
$241$	−19.1183	−	11.0379i	−1.23152	−	0.711016i	−0.264171	−	0.964476i	$-0.585098\pi$
$241$	−19.1183	−	11.0379i	−1.23152	−	0.711016i	−0.967346	+	0.253460i	$0.918432\pi$
$242$	−12.3600	−	12.3600i	−0.794533	−	0.794533i
$243$	−13.3059	−	8.12114i	−0.853574	−	0.520971i
$244$	−4.39205			−0.281172
$245$	−6.29941	+	14.3289i	−0.402455	+	0.915440i
$246$	−1.96642	−	5.19835i	−0.125374	−	0.331434i
$247$	−2.90258	+	10.8326i	−0.184687	+	0.689260i
$248$	3.81260	−	14.2288i	0.242100	−	0.903530i
$249$	2.86468	−	17.5329i	0.181542	−	1.11110i
$250$	11.2944	−	21.9112i	0.714317	−	1.38579i
$251$			19.7802i			1.24851i	0.781219	+	0.624257i	$0.214598\pi$
$251$			19.7802i			1.24851i	−0.781219	+	0.624257i	$0.785402\pi$
$252$	9.01235	−	20.8463i	0.567725	−	1.31319i
$253$	6.83152	−	6.83152i	0.429494	−	0.429494i
$254$	15.6014	+	9.00748i	0.978920	+	0.565180i
$255$	−12.5479	+	1.45867i	−0.785782	+	0.0913457i
$256$	2.42763	+	4.20479i	0.151727	+	0.262799i
$257$	13.0385	+	3.49366i	0.813321	+	0.217929i	0.641424	−	0.767186i	$-0.278344\pi$
$257$	13.0385	+	3.49366i	0.813321	+	0.217929i	0.171897	+	0.985115i	$0.445010\pi$
$258$	−30.1276	+	3.01803i	−1.87566	+	0.187894i
$259$	−0.488426	+	0.412445i	−0.0303493	+	0.0256281i
$260$	20.0798	−	0.319031i	1.24529	−	0.0197855i
$261$	4.13817	+	20.4475i	0.256146	+	1.26567i
$262$	21.4059	−	21.4059i	1.32246	−	1.32246i
$263$	4.73537	+	17.6726i	0.291995	+	1.08974i	0.943574	+	0.331160i	$0.107440\pi$
$263$	4.73537	+	17.6726i	0.291995	+	1.08974i	−0.651579	+	0.758581i	$0.725893\pi$
$264$	5.68985	+	0.929657i	0.350186	+	0.0572164i
$265$	15.9207	+	26.5908i	0.978003	+	1.63346i
$266$	−3.68340	−	20.5146i	−0.225843	−	1.25783i
$267$	5.66348	−	12.5552i	0.346599	−	0.768365i
$268$	−2.47931	−	9.25291i	−0.151448	−	0.565212i
$269$	−2.07408			−0.126459			−0.0632293	−	0.997999i	$-0.520140\pi$
$269$	−2.07408			−0.126459			−0.0632293	+	0.997999i	$0.520140\pi$
$270$	7.94690	+	24.3542i	0.483633	+	1.48215i
$271$			2.38937i			0.145144i	0.997363	+	0.0725719i	$0.0231207\pi$
$271$			2.38937i			0.145144i	−0.997363	+	0.0725719i	$0.976879\pi$
$272$	−1.29623	−	4.83760i	−0.0785956	−	0.293323i
$273$	10.0099	−	10.3292i	0.605827	−	0.625154i
$274$	−4.21487	+	2.43346i	−0.254630	+	0.147011i
$275$	7.44657	−	4.62076i	0.449045	−	0.278642i
$276$	4.40496	−	26.9600i	0.265147	−	1.62280i
$277$	−3.49670	+	0.936937i	−0.210096	+	0.0562951i	−0.362332	−	0.932049i	$-0.618019\pi$
$277$	−3.49670	+	0.936937i	−0.210096	+	0.0562951i	0.152236	+	0.988344i	$0.451353\pi$
$278$	−9.54301	−	9.54301i	−0.572352	−	0.572352i
$279$	22.0602	+	7.40651i	1.32071	+	0.443416i
$280$	−10.0903	+	4.94086i	−0.603013	+	0.295273i
$281$	−7.00835	+	12.1388i	−0.418083	+	0.724141i	−0.995747	−	0.0921338i	$-0.970631\pi$
$281$	−7.00835	+	12.1388i	−0.418083	+	0.724141i	0.577664	+	0.816275i	$0.303965\pi$
$282$	32.5203	−	3.25772i	1.93655	−	0.193994i
$283$	−2.45859	+	9.17558i	−0.146148	+	0.545432i	0.853554	+	0.521005i	$0.174443\pi$
$283$	−2.45859	+	9.17558i	−0.146148	+	0.545432i	−0.999702	+	0.0244267i	$0.992224\pi$
$284$	19.9716	−	11.5306i	1.18510	−	0.684216i
$285$	10.8493	+	8.58959i	0.642659	+	0.508803i
$286$	10.5048	+	6.06495i	0.621162	+	0.358628i
$287$	1.63819	+	3.48464i	0.0966992	+	0.205692i
$288$	−19.2966	+	9.59613i	−1.13706	+	0.565457i
$289$			6.36144i			0.374202i
$290$	16.6684	−	29.9597i	0.978800	−	1.75930i
$291$	10.6970	+	1.74777i	0.627071	+	0.102456i
$292$	−21.7191	−	5.81961i	−1.27101	−	0.340567i
$293$	0.234655	−	0.875743i	0.0137087	−	0.0511615i	−0.958733	−	0.284309i	$-0.908236\pi$
$293$	0.234655	−	0.875743i	0.0137087	−	0.0511615i	0.972441	+	0.233148i	$0.0749025\pi$
$294$	−8.66852	+	25.2878i	−0.505558	+	1.47481i
$295$	13.5012	−	3.84853i	0.786070	−	0.224070i
$296$	−0.458860			−0.0266707
$297$	−2.02372	+	8.87984i	−0.117428	+	0.515261i
$298$	−19.3364	+	19.3364i	−1.12013	+	1.12013i
$299$	8.65058	−	14.9833i	0.500276	−	0.866504i
$300$	9.46642	−	22.9003i	0.546544	−	1.32215i
$301$	20.6469	−	3.70715i	1.19007	−	0.213676i
$302$	−7.91180	+	29.5273i	−0.455273	+	1.69910i
$303$	−13.4544	+	9.67527i	−0.772935	+	0.555830i
$304$	−2.74310	+	4.75118i	−0.157327	+	0.272499i
$305$	−2.38814	+	2.46526i	−0.136745	+	0.141160i
$306$	−21.1458	+	4.27949i	−1.20882	+	0.244642i
$307$	−21.7148	+	21.7148i	−1.23933	+	1.23933i	−0.279057	+	0.960275i	$0.590022\pi$
$307$	−21.7148	+	21.7148i	−1.23933	+	1.23933i	−0.960275	+	0.279057i	$0.909978\pi$
$308$	−13.2219	−	1.11516i	−0.753390	−	0.0635419i
$309$	−2.50081	−	2.04539i	−0.142266	−	0.116358i
$310$	−19.6449	−	32.8109i	−1.11575	−	1.86353i
$311$	−10.7337	+	6.19709i	−0.608650	+	0.351405i	−0.772437	−	0.635091i	$-0.780962\pi$
$311$	−10.7337	+	6.19709i	−0.608650	+	0.351405i	0.163787	+	0.986496i	$0.447629\pi$
$312$	10.2730	−	1.02909i	0.581593	−	0.0582610i
$313$	−9.10889	+	2.44072i	−0.514865	+	0.137958i	−0.506890	−	0.862011i	$-0.669205\pi$
$313$	−9.10889	+	2.44072i	−0.514865	+	0.137958i	−0.00797448	+	0.999968i	$0.502538\pi$
$314$	−24.3415			−1.37367
$315$	−6.80062	−	16.3936i	−0.383172	−	0.923677i
$316$	40.8653			2.29885
$317$	−5.85056	+	1.56765i	−0.328600	+	0.0880482i	−0.419348	−	0.907826i	$-0.637741\pi$
$317$	−5.85056	+	1.56765i	−0.328600	+	0.0880482i	0.0907473	+	0.995874i	$0.471074\pi$
$318$	30.9029	+	42.9734i	1.73295	+	2.40983i
$319$	10.5556	−	6.09429i	0.591001	−	0.341215i
$320$	27.6908	+	6.95019i	1.54796	+	0.388527i
$321$	−19.4416	+	7.35432i	−1.08512	+	0.410478i
$322$	−2.70235	+	32.0406i	−0.150596	+	1.78555i
$323$	−8.24048	+	8.24048i	−0.458513	+	0.458513i
$324$	10.0132	+	23.7254i	0.556292	+	1.31808i
$325$	10.7391	−	11.4442i	0.595700	−	0.634811i
$326$	14.8382	−	25.7006i	0.821814	−	1.42342i
$327$	−5.82932	−	2.62953i	−0.322362	−	0.145413i
$328$	−0.715331	+	2.66965i	−0.0394975	+	0.147407i
$329$	−22.2866	+	4.00156i	−1.22870	+	0.220613i
$330$	12.0112	−	8.93029i	0.661193	−	0.491596i
$331$	−1.25161	+	2.16786i	−0.0687950	+	0.119156i	−0.898371	−	0.439237i	$-0.855249\pi$
$331$	−1.25161	+	2.16786i	−0.0687950	+	0.119156i	0.829576	+	0.558394i	$0.188582\pi$
$332$	−20.7523	+	20.7523i	−1.13893	+	1.13893i
$333$	0.0449968	−	0.723470i	0.00246581	−	0.0396459i
$334$	6.81054			0.372656
$335$	−6.54176	−	3.63956i	−0.357415	−	0.198851i
$336$	6.03778	−	3.61347i	0.329388	−	0.197131i
$337$	8.09436	−	30.2086i	0.440928	−	1.64557i	−0.285542	−	0.958366i	$-0.592173\pi$
$337$	8.09436	−	30.2086i	0.440928	−	1.64557i	0.726469	−	0.687199i	$-0.241160\pi$
$338$	−6.70438	−	1.79643i	−0.364670	−	0.0977131i
$339$	4.64906	−	5.68419i	0.252502	−	0.308723i
$340$	18.2362	+	10.1459i	0.988997	+	0.550237i
$341$		−	13.5957i		−	0.736247i
$342$	19.6940	+	13.0644i	1.06493	+	0.706441i
$343$	4.62551	−	17.9333i	0.249754	−	0.968309i
$344$	13.0397	+	7.52848i	0.703054	+	0.405908i
$345$	−12.7375	−	17.1318i	−0.685762	−	0.922345i
$346$	−44.0237	+	25.4171i	−2.36673	+	1.36643i
$347$	−0.474786	+	1.77193i	−0.0254879	+	0.0951220i	−0.977498	−	0.210944i	$-0.932346\pi$
$347$	−0.474786	+	1.77193i	−0.0254879	+	0.0951220i	0.952010	+	0.306066i	$0.0990129\pi$
$348$	14.1711	−	31.4154i	0.759648	−	1.68404i
$349$	−7.34498	+	12.7219i	−0.393168	+	0.680987i	−0.992865	−	0.119240i	$-0.961954\pi$
$349$	−7.34498	+	12.7219i	−0.393168	+	0.680987i	0.599698	+	0.800227i	$0.295288\pi$
$350$	−9.01343	+	27.7397i	−0.481788	+	1.48275i
$351$	0.615151	+	16.2980i	0.0328343	+	0.869923i
$352$	8.90325	+	8.90325i	0.474545	+	0.474545i
$353$	−12.2129	+	3.27245i	−0.650029	+	0.174175i	−0.568742	−	0.822516i	$-0.692570\pi$
$353$	−12.2129	+	3.27245i	−0.650029	+	0.174175i	−0.0812870	+	0.996691i	$0.525903\pi$
$354$	22.4258	−	8.48318i	1.19192	−	0.450876i
$355$	4.38728	−	17.4797i	0.232853	−	0.927728i
$356$	−19.7051	+	11.3768i	−1.04437	+	0.602967i
$357$	14.3751	−	4.09472i	0.760810	−	0.216716i
$358$	4.25537	+	15.8812i	0.224903	+	0.839350i
$359$		−	25.7474i		−	1.35890i	−0.733723	−	0.679449i	$-0.762219\pi$
$359$		−	25.7474i		−	1.35890i	0.733723	−	0.679449i	$-0.237781\pi$
$360$	3.86233	−	12.1398i	0.203563	−	0.639823i
$361$	−6.23407			−0.328109
$362$	−3.31970	−	12.3893i	−0.174480	−	0.651168i
$363$	−13.6631	+	1.36870i	−0.717128	+	0.0718382i
$364$	−23.3877	+	4.19927i	−1.22585	+	0.220101i
$365$	−15.0761	+	9.02653i	−0.789120	+	0.472470i
$366$	−3.71119	+	4.53750i	−0.193987	+	0.237179i
$367$	8.29897	+	30.9722i	0.433203	+	1.61674i	0.745331	+	0.666695i	$0.232292\pi$
$367$	8.29897	+	30.9722i	0.433203	+	1.61674i	−0.312128	+	0.950040i	$0.601042\pi$
$368$	5.98472	−	5.98472i	0.311975	−	0.311975i
$369$	−4.13901	−	1.38963i	−0.215468	−	0.0723413i
$370$	−0.828847	+	0.855610i	−0.0430897	+	0.0444811i
$371$	−23.6593	−	28.0178i	−1.22833	−	1.45461i
$372$	−22.4439	−	31.2103i	−1.16366	−	1.61818i
$373$	−31.3144	−	8.39068i	−1.62140	−	0.434453i	−0.669987	−	0.742372i	$-0.733701\pi$
$373$	−31.3144	−	8.39068i	−1.62140	−	0.434453i	−0.951412	+	0.307920i	$0.900367\pi$
$374$	6.30242	+	10.9161i	0.325890	+	0.564459i
$375$	−7.70663	−	17.7654i	−0.397969	−	0.917399i
$376$	−14.0753	−	8.12638i	−0.725878	−	0.419086i
$377$	15.4341	−	15.4341i	0.794896	−	0.794896i
$378$	−13.9214	−	26.9255i	−0.716041	−	1.38490i
$379$		−	16.1461i		−	0.829367i	−0.909966	−	0.414684i	$-0.863892\pi$
$379$		−	16.1461i		−	0.829367i	0.909966	−	0.414684i	$-0.136108\pi$
$380$	−6.26666	−	21.9844i	−0.321473	−	1.12777i
$381$	13.2366	−	5.00710i	0.678131	−	0.256522i
$382$	−6.43346	+	24.0100i	−0.329165	+	1.22846i
$383$	−0.321827	+	1.20107i	−0.0164446	+	0.0613720i	−0.973661	−	0.228002i	$-0.926781\pi$
$383$	−0.321827	+	1.20107i	−0.0164446	+	0.0613720i	0.957216	+	0.289374i	$0.0934473\pi$
$384$	23.5617	+	3.84971i	1.20238	+	0.196455i
$385$	−7.81526	+	6.81511i	−0.398303	+	0.347330i
$386$	−23.1478			−1.17819
$387$	−13.1486	+	19.8210i	−0.668382	+	1.00756i
$388$	−12.6612	−	12.6612i	−0.642775	−	0.642775i
$389$	11.6837	+	6.74559i	0.592387	+	0.342015i	0.766041	−	0.642792i	$-0.222224\pi$
$389$	11.6837	+	6.74559i	0.592387	+	0.342015i	−0.173654	+	0.984807i	$0.555557\pi$
$390$	16.6374	−	21.0143i	0.842467	−	1.06410i
$391$	15.5699	−	8.98929i	0.787404	−	0.454608i
$392$	10.8416	−	7.69275i	0.547582	−	0.388543i
$393$	−2.37040	−	23.6627i	−0.119571	−	1.19362i
$394$	3.80812	+	2.19862i	0.191850	+	0.110765i
$395$	22.2202	−	22.9377i	1.11802	−	1.15412i
$396$	11.2787	−	9.95784i	0.566774	−	0.500401i
$397$	7.91088	−	7.91088i	0.397035	−	0.397035i	−0.480151	−	0.877186i	$-0.659418\pi$
$397$	7.91088	−	7.91088i	0.397035	−	0.397035i	0.877186	+	0.480151i	$0.159418\pi$
$398$	−38.3380	+	10.2726i	−1.92171	+	0.514921i
$399$	−14.3065	−	7.96303i	−0.716219	−	0.398650i
$400$	6.52353	−	4.04799i	0.326177	−	0.202400i
$401$	−0.691907	−	1.19842i	−0.0345522	−	0.0598461i	0.848232	−	0.529625i	$-0.177667\pi$
$401$	−0.691907	−	1.19842i	−0.0345522	−	0.0598461i	−0.882784	+	0.469778i	$0.844334\pi$
$402$	−11.6543	−	5.25710i	−0.581264	−	0.262200i
$403$	−6.30145	−	23.5173i	−0.313897	−	1.17148i
$404$	27.3767			1.36204
$405$	18.7617	+	7.28007i	0.932275	+	0.361750i
$406$	−13.7552	+	38.1626i	−0.682658	+	1.89398i
$407$	−0.409072	+	0.109611i	−0.0202770	+	0.00543320i
$408$	9.77969	+	4.41149i	0.484167	+	0.218401i
$409$	−10.4603	−	18.1177i	−0.517226	−	0.895862i	−0.999800	−	0.0200066i	$-0.993631\pi$
$409$	−10.4603	−	18.1177i	−0.517226	−	0.895862i	0.482574	−	0.875855i	$-0.339702\pi$
$410$	3.68583	+	6.15608i	0.182030	+	0.304027i
$411$	−0.616507	+	3.77326i	−0.0304101	+	0.186121i
$412$	1.38135	+	5.15527i	0.0680543	+	0.253982i
$413$	−15.0328	+	7.06718i	−0.739717	+	0.347753i
$414$	−24.1308	−	27.3315i	−1.18596	−	1.34327i
$415$	0.364350	+	22.9321i	0.0178852	+	1.12569i
$416$	19.5271	+	11.2740i	0.957394	+	0.552752i
$417$	−10.5491	+	1.05676i	−0.516592	+	0.0517495i
$418$	3.57370	−	13.3372i	0.174795	−	0.652346i
$419$	−7.71733	−	13.3668i	−0.377016	−	0.653011i	0.613610	−	0.789609i	$-0.289717\pi$
$419$	−7.71733	−	13.3668i	−0.377016	−	0.653011i	−0.990627	+	0.136598i	$0.956383\pi$
$420$	−6.69034	+	28.5463i	−0.326455	+	1.39292i
$421$	−20.0884	+	34.7941i	−0.979047	+	1.69576i	−0.313172	+	0.949696i	$0.601392\pi$
$421$	−20.0884	+	34.7941i	−0.979047	+	1.69576i	−0.665875	+	0.746063i	$0.731942\pi$
$422$	8.74148	+	8.74148i	0.425529	+	0.425529i
$423$	14.1929	−	21.3952i	0.690081	−	1.04027i
$424$		−	26.3218i		−	1.27830i
$425$	15.6107	−	4.71923i	0.757229	−	0.228916i
$426$	4.96312	−	30.3761i	0.240464	−	1.47173i
$427$	2.31898	−	3.33397i	0.112223	−	0.161342i
$428$	33.1683	+	8.88741i	1.60325	+	0.429589i
$429$	8.91251	−	3.37140i	0.430300	−	0.162773i
$430$	37.5918	−	10.7156i	1.81284	−	0.516751i
$431$	15.5584			0.749421			0.374710	−	0.927142i	$-0.377742\pi$
$431$	15.5584			0.749421			0.374710	+	0.927142i	$0.377742\pi$
$432$	−1.77287	+	7.77914i	−0.0852972	+	0.374274i
$433$	−18.6472	−	18.6472i	−0.896125	−	0.896125i	0.0989656	−	0.995091i	$-0.468447\pi$
$433$	−18.6472	−	18.6472i	−0.896125	−	0.896125i	−0.995091	+	0.0989656i	$0.968447\pi$
$434$	29.1936	+	34.5717i	1.40134	+	1.65949i
$435$	−9.92804	−	25.0361i	−0.476013	−	1.20039i
$436$	5.28218	+	9.14900i	0.252971	+	0.438158i
$437$	−19.0232	−	5.09725i	−0.910003	−	0.243835i
$438$	−24.3645	+	17.5209i	−1.16418	+	0.837181i
$439$	−0.122085	+	0.211458i	−0.00582682	+	0.0100923i	−0.868924	−	0.494945i	$-0.835188\pi$
$439$	−0.122085	+	0.211458i	−0.00582682	+	0.0100923i	0.863097	+	0.505038i	$0.168521\pi$
$440$	−7.44203	+	0.118240i	−0.354785	+	0.00563688i
$441$	11.0658	+	17.8479i	0.526942	+	0.849901i
$442$	15.9612	+	15.9612i	0.759197	+	0.759197i
$443$	8.60028	+	32.0967i	0.408611	+	1.52496i	0.797296	+	0.603588i	$0.206263\pi$
$443$	8.60028	+	32.0967i	0.408611	+	1.52496i	−0.388685	+	0.921371i	$0.627071\pi$
$444$	−0.758123	+	0.926923i	−0.0359789	+	0.0439898i
$445$	−4.32874	+	17.2465i	−0.205202	+	0.817562i
$446$	−54.3117	+	31.3569i	−2.57174	+	1.48479i
$447$	2.14124	+	21.3750i	0.101277	+	1.01100i
$448$	−33.6610	−	2.83901i	−1.59033	−	0.134131i
$449$		−	17.6583i		−	0.833345i	−0.909057	−	0.416673i	$-0.863196\pi$
$449$		−	17.6583i		−	0.833345i	0.909057	−	0.416673i	$-0.136804\pi$
$450$	−15.6598	−	29.1302i	−0.738209	−	1.37321i
$451$			2.55086i			0.120115i
$452$	−11.7176	+	3.13973i	−0.551151	+	0.147681i
$453$	14.0201	+	19.4963i	0.658721	+	0.916015i
$454$	7.83766	+	13.5752i	0.367840	+	0.637117i
$455$	−10.3598	+	15.4108i	−0.485676	+	0.722470i
$456$	−4.15814	−	10.9923i	−0.194723	−	0.514761i
$457$	18.1851	−	4.87269i	0.850664	−	0.227935i	0.192956	−	0.981208i	$-0.438193\pi$
$457$	18.1851	−	4.87269i	0.850664	−	0.227935i	0.657708	+	0.753273i	$0.271526\pi$
$458$	−13.6028	−	13.6028i	−0.635619	−	0.635619i
$459$	−7.91447	+	14.9867i	−0.369416	+	0.699521i
$460$	0.560254	+	35.2623i	0.0261220	+	1.64411i
$461$	−6.06003	−	3.49876i	−0.282244	−	0.162953i	0.352195	−	0.935927i	$-0.385435\pi$
$461$	−6.06003	−	3.49876i	−0.282244	−	0.162953i	−0.634439	+	0.772973i	$0.718769\pi$
$462$	−12.3244	+	12.7175i	−0.573381	+	0.591673i
$463$	24.0499	+	6.44415i	1.11769	+	0.299485i	0.769949	−	0.638105i	$-0.220281\pi$
$463$	24.0499	+	6.44415i	1.11769	+	0.299485i	0.347743	+	0.937590i	$0.386948\pi$
$464$	9.24720	−	5.33887i	0.429290	−	0.247851i
$465$	−29.7220	−	4.37266i	−1.37833	−	0.202777i
$466$	−31.0777	+	53.8282i	−1.43965	+	2.49354i
$467$	−5.85773	+	5.85773i	−0.271063	+	0.271063i	−0.829528	−	0.558465i	$-0.811391\pi$
$467$	−5.85773	+	5.85773i	−0.271063	+	0.271063i	0.558465	+	0.829528i	$0.311391\pi$
$468$	14.8941	−	22.4523i	0.688479	−	1.03786i
$469$	8.33287	+	3.00347i	0.384776	+	0.138687i
$470$	−40.5773	+	11.5666i	−1.87169	+	0.533527i
$471$	−12.1061	+	14.8016i	−0.557821	+	0.682022i
$472$	−11.5169	−	3.08596i	−0.530110	−	0.142043i
$473$	13.4232	+	3.59675i	0.617201	+	0.165379i
$474$	34.5303	−	42.2186i	1.58603	−	1.93917i
$475$	−15.7473	−	8.43635i	−0.722534	−	0.387086i
$476$	−23.2292	−	8.37264i	−1.06471	−	0.383759i
$477$	41.5007	+	2.58117i	1.90019	+	0.118184i
$478$	43.3891	−	43.3891i	1.98457	−	1.98457i
$479$	−13.1613	+	22.7960i	−0.601355	+	1.04158i	0.391261	+	0.920280i	$0.372039\pi$
$479$	−13.1613	+	22.7960i	−0.601355	+	1.04158i	−0.992616	+	0.121298i	$0.961294\pi$
$480$	22.3272	−	16.6002i	1.01909	−	0.757694i
$481$	−0.656795	+	0.379201i	−0.0299473	+	0.0172901i
$482$	47.0153	+	12.5977i	2.14149	+	0.573810i
$483$	18.1393	+	17.5785i	0.825367	+	0.799850i
$484$	19.6451	+	11.3421i	0.892960	+	0.515551i
$485$	−13.9912	+	0.222294i	−0.635305	+	0.0100938i
$486$	32.9721	+	9.70262i	1.49565	+	0.440120i
$487$	−22.6835	−	22.6835i	−1.02789	−	1.02789i	−0.999600	−	0.0282893i	$-0.990994\pi$
$487$	−22.6835	−	22.6835i	−1.02789	−	1.02789i	−0.0282893	−	0.999600i	$-0.509006\pi$
$488$	2.81570	−	0.754465i	0.127461	−	0.0341530i
$489$	−8.24832	−	21.8049i	−0.373002	−	0.986053i
$490$	5.23909	−	34.1112i	0.236678	−	1.54099i
$491$	2.51643	+	4.35858i	0.113565	+	0.196700i	0.917205	−	0.398415i	$-0.130440\pi$
$491$	2.51643	+	4.35858i	0.113565	+	0.196700i	−0.803640	+	0.595115i	$0.797106\pi$
$492$	4.21098	+	5.85578i	0.189846	+	0.263999i
$493$	21.9089	−	5.87046i	0.986725	−	0.264392i
$494$		−	24.7266i		−	1.11250i
$495$	0.543356	−	11.7452i	0.0244220	−	0.527908i
$496$		−	11.9104i		−	0.534794i
$497$	−1.79211	+	21.2484i	−0.0803873	+	0.953120i
$498$	3.90430	+	38.9748i	0.174956	+	1.74650i
$499$	−32.7497	+	18.9081i	−1.46608	+	0.846441i	−0.999281	−	0.0379228i	$-0.987926\pi$
$499$	−32.7497	+	18.9081i	−1.46608	+	0.846441i	−0.466798	+	0.884364i	$0.654593\pi$
$500$	−6.79818	+	31.2599i	−0.304024	+	1.39798i
$501$	3.38719	−	4.14136i	0.151329	−	0.185022i
$502$	−11.2876	−	42.1261i	−0.503792	−	1.88018i
$503$	30.8656	+	30.8656i	1.37623	+	1.37623i	0.850898	+	0.525331i	$0.176059\pi$
$503$	30.8656	+	30.8656i	1.37623	+	1.37623i	0.525331	+	0.850898i	$0.323941\pi$
$504$	−2.19676	+	14.9125i	−0.0978515	+	0.664256i
$505$	14.8859	−	15.3665i	0.662412	−	0.683801i
$506$	−10.6507	+	18.4476i	−0.473483	+	0.820096i
$507$	−4.42677	+	3.18336i	−0.196600	+	0.141378i
$508$	−22.5822	−	6.05089i	−1.00192	−	0.268465i
$509$	8.81390	+	15.2661i	0.390669	+	0.676659i	0.992538	−	0.121936i	$-0.0389103\pi$
$509$	8.81390	+	15.2661i	0.390669	+	0.676659i	−0.601869	+	0.798595i	$0.705577\pi$
$510$	25.8911	−	10.2671i	1.14648	−	0.454635i
$511$	15.8852	−	13.4140i	0.702718	−	0.593402i
$512$	11.9235	+	11.9235i	0.526949	+	0.526949i
$513$	17.7390	−	5.47808i	0.783194	−	0.241863i
$514$	−29.7620			−1.31274
$515$	3.64475	+	2.02779i	0.160607	+	0.0893550i
$516$	36.7520	−	13.9025i	1.61792	−	0.612022i
$517$	−14.4893	−	3.88239i	−0.637238	−	0.170748i
$518$	0.804843	−	1.15711i	0.0353627	−	0.0508406i
$519$	−6.43932	+	39.4111i	−0.282655	+	1.72995i
$520$	−12.8181	+	3.65382i	−0.562113	+	0.160231i
$521$		−	26.9138i		−	1.17911i	−0.807727	−	0.589557i	$-0.799302\pi$
$521$		−	26.9138i		−	1.17911i	0.807727	−	0.589557i	$-0.200698\pi$
$522$	−20.4815	−	41.1857i	−0.896453	−	1.80265i
$523$	11.2917	+	11.2917i	0.493754	+	0.493754i	0.909487	−	0.415733i	$-0.136475\pi$
$523$	11.2917	+	11.2917i	0.493754	+	0.493754i	−0.415733	+	0.909487i	$0.636475\pi$
$524$	−19.6430	+	34.0227i	−0.858108	+	1.48629i
$525$	12.3852	+	19.2771i	0.540534	+	0.841322i
$526$	−20.1699	−	34.9354i	−0.879451	−	1.52325i
$527$	6.54817	−	24.4381i	0.285243	−	1.06454i
$528$	4.63827	−	0.464638i	0.201855	−	0.0202208i
$529$	6.39367	+	3.69139i	0.277986	+	0.160495i
$530$	−49.0808	−	47.5455i	−2.13193	−	2.06525i
$531$	5.99491	−	17.8558i	0.260157	−	0.774875i
$532$	11.5077	+	24.4784i	0.498922	+	1.06127i
$533$	1.18230	+	4.41239i	0.0512109	+	0.191122i
$534$	−4.89689	+	29.9708i	−0.211909	+	1.29696i
$535$	23.0235	−	13.7849i	0.995392	−	0.595971i
$536$	3.17893	+	5.50606i	0.137309	+	0.237826i
$537$	11.7735	+	5.31086i	0.508063	+	0.229180i
$538$	4.41719	−	1.18358i	0.190438	−	0.0510278i
$539$	7.82762	−	9.44786i	0.337159	−	0.406948i
$540$	−18.1417	−	27.8594i	−0.780696	−	1.19888i
$541$	−31.5540			−1.35661			−0.678307	−	0.734778i	$-0.737286\pi$
$541$	−31.5540			−1.35661			−0.678307	+	0.734778i	$0.737286\pi$
$542$	−1.36350	−	5.08867i	−0.0585676	−	0.218577i
$543$	−9.18475	−	4.14312i	−0.394155	−	0.177798i
$544$	11.7154	+	20.2916i	0.502293	+	0.869997i
$545$	8.00747	+	2.00982i	0.343002	+	0.0860910i
$546$	−15.4238	+	27.7105i	−0.660077	+	1.18590i
$547$	34.1328	−	9.14586i	1.45941	−	0.391049i	0.560126	−	0.828407i	$-0.310753\pi$
$547$	34.1328	−	9.14586i	1.45941	−	0.391049i	0.899287	+	0.437359i	$0.144086\pi$
$548$	4.46610	−	4.46610i	0.190782	−	0.190782i
$549$	0.913428	+	4.51342i	0.0389842	+	0.192628i
$550$	−13.2222	+	14.0903i	−0.563796	+	0.600813i
$551$	−21.5175	−	12.4231i	−0.916675	−	0.529243i
$552$	1.80720	+	18.0405i	0.0769197	+	0.767854i
$553$	−21.5766	+	31.0205i	−0.917532	+	1.31912i
$554$	6.91229	−	3.99081i	0.293675	−	0.169553i
$555$	0.108057	+	0.929541i	0.00458678	+	0.0394568i
$556$	15.1677	+	8.75709i	0.643255	+	0.371383i
$557$	3.15765	+	3.15765i	0.133794	+	0.133794i	0.770832	−	0.637038i	$-0.219841\pi$
$557$	3.15765	+	3.15765i	0.133794	+	0.133794i	−0.637038	+	0.770832i	$0.719841\pi$
$558$	−51.2085	−	3.18496i	−2.16783	−	0.134830i
$559$	24.8861			1.05257
$560$	−6.84652	+	5.97034i	−0.289318	+	0.252293i
$561$	9.77237	+	1.59669i	0.412590	+	0.0674125i
$562$	7.99870	−	29.8515i	0.337405	−	1.25921i
$563$	−3.30932	+	12.3505i	−0.139471	+	0.520514i	0.860468	+	0.509504i	$0.170171\pi$
$563$	−3.30932	+	12.3505i	−0.139471	+	0.520514i	−0.999939	+	0.0110094i	$0.996496\pi$
$564$	−39.6708	+	15.0066i	−1.67044	+	0.631891i
$565$	−4.60905	+	8.28431i	−0.193904	+	0.348523i
$566$		−	20.9444i		−	0.880357i
$567$	−23.2967	−	4.92592i	−0.978369	−	0.206869i
$568$	−10.8229	+	10.8229i	−0.454118	+	0.454118i
$569$	−23.6366	−	13.6466i	−0.990898	−	0.572095i	−0.0853557	−	0.996351i	$-0.527203\pi$
$569$	−23.6366	−	13.6466i	−0.990898	−	0.572095i	−0.905543	+	0.424255i	$0.860536\pi$
$570$	−28.0076	−	12.1021i	−1.17311	−	0.506903i
$571$	6.55125	+	11.3471i	0.274161	+	0.474861i	0.969923	−	0.243411i	$-0.0782665\pi$
$571$	6.55125	+	11.3471i	0.274161	+	0.474861i	−0.695762	+	0.718273i	$0.744933\pi$
$572$	−15.2052	−	4.07421i	−0.635759	−	0.170351i
$573$	11.4004	+	15.8533i	0.476258	+	0.662283i
$574$	−5.47739	−	6.48644i	−0.228622	−	0.270739i
$575$	20.0973	+	18.8591i	0.838117	+	0.786480i
$576$	28.7137	−	25.3511i	1.19641	−	1.05630i
$577$	−8.35680	+	8.35680i	−0.347898	+	0.347898i	−0.859326	−	0.511428i	$-0.829117\pi$
$577$	−8.35680	+	8.35680i	−0.347898	+	0.347898i	0.511428	+	0.859326i	$0.329117\pi$
$578$	−3.63018	−	13.5480i	−0.150996	−	0.563524i
$579$	−11.5125	+	14.0757i	−0.478441	+	0.584968i
$580$	−10.8313	+	43.1539i	−0.449745	+	1.79187i
$581$	−4.79578	−	26.7100i	−0.198963	−	1.10812i
$582$	−23.7790	+	2.38205i	−0.985670	+	0.0987393i
$583$	−6.28764	−	23.4658i	−0.260408	−	0.971854i
$584$	14.9236			0.617542
$585$	−4.50390	−	20.5683i	−0.186213	−	0.850393i
$586$			1.99899i			0.0825774i
$587$	−6.05220	−	22.5871i	−0.249801	−	0.932270i	−0.970909	−	0.239448i	$-0.923034\pi$
$587$	−6.05220	−	22.5871i	−0.249801	−	0.932270i	0.721108	−	0.692823i	$-0.243633\pi$
$588$	2.37253	−	34.6105i	0.0978415	−	1.42731i
$589$	−24.0015	+	13.8573i	−0.988966	+	0.570980i
$590$	−26.5575	+	15.9008i	−1.09335	+	0.654625i
$591$	3.23089	−	1.22217i	0.132901	−	0.0502736i
$592$	−0.358366	+	0.0960238i	−0.0147287	+	0.00394655i
$593$	7.12078	+	7.12078i	0.292415	+	0.292415i	0.838034	−	0.545618i	$-0.183705\pi$
$593$	7.12078	+	7.12078i	0.292415	+	0.292415i	−0.545618	+	0.838034i	$0.683705\pi$
$594$	−0.757383	−	20.0664i	−0.0310758	−	0.823333i
$595$	−17.3303	+	8.48598i	−0.710471	+	0.347891i
$596$	17.7440	−	30.7335i	0.726822	−	1.25889i
$597$	−12.8206	+	28.4217i	−0.524714	+	1.16322i
$598$	−9.87299	+	36.8465i	−0.403737	+	1.50677i
$599$	16.7800	−	9.68794i	0.685613	−	0.395839i	−0.116354	−	0.993208i	$-0.537121\pi$
$599$	16.7800	−	9.68794i	0.685613	−	0.395839i	0.801966	+	0.597369i	$0.203787\pi$
$600$	−2.13502	+	16.3073i	−0.0871620	+	0.665743i
$601$	17.0506	+	9.84418i	0.695509	+	0.401552i	0.805673	−	0.592361i	$-0.201804\pi$
$601$	17.0506	+	9.84418i	0.695509	+	0.401552i	−0.110163	+	0.993913i	$0.535137\pi$
$602$	−41.8564	+	19.6774i	−1.70594	+	0.801990i
$603$	−8.99297	+	4.47218i	−0.366222	+	0.182121i
$604$		−	39.6706i		−	1.61417i
$605$	17.0482	−	4.85960i	0.693108	−	0.197571i
$606$	23.1327	−	28.2833i	0.939704	−	1.14893i
$607$	−6.21134	−	1.66432i	−0.252110	−	0.0675528i	0.130550	−	0.991442i	$-0.458326\pi$
$607$	−6.21134	−	1.66432i	−0.252110	−	0.0675528i	−0.382661	+	0.923889i	$0.624992\pi$
$608$	6.64305	−	24.7922i	0.269411	−	1.00546i
$609$	16.3649	+	27.3443i	0.663139	+	1.10805i
$610$	3.67925	−	6.61309i	0.148968	−	0.267756i
$611$	−26.8625			−1.08674
$612$	25.0694	−	12.4669i	1.01337	−	0.503945i
$613$	−8.09798	+	8.09798i	−0.327074	+	0.327074i	−0.851473	−	0.524399i	$-0.824290\pi$
$613$	−8.09798	+	8.09798i	−0.327074	+	0.327074i	0.524399	+	0.851473i	$0.324290\pi$
$614$	33.8547	−	58.6380i	1.36626	−	2.36644i
$615$	5.57653	+	0.820412i	0.224867	+	0.0330822i
$616$	8.66802	−	1.55635i	0.349245	−	0.0627069i
$617$	3.91740	−	14.6199i	0.157708	−	0.588576i	−0.841150	−	0.540802i	$-0.818121\pi$
$617$	3.91740	−	14.6199i	0.157708	−	0.588576i	0.998858	−	0.0477737i	$-0.0152126\pi$
$618$	6.49321	+	2.92900i	0.261195	+	0.117822i
$619$	7.21757	−	12.5012i	0.290098	−	0.502465i	−0.683734	−	0.729731i	$-0.739645\pi$
$619$	7.21757	−	12.5012i	0.290098	−	0.502465i	0.973833	+	0.227266i	$0.0729786\pi$
$620$	35.6459	+	34.5310i	1.43158	+	1.38680i
$621$	−28.6211	+	1.08027i	−1.14853	+	0.0433498i
$622$	19.3232	−	19.3232i	0.774791	−	0.774791i
$623$	1.76820	−	20.9649i	0.0708415	−	0.839939i
$624$	7.80776	−	2.95350i	0.312561	−	0.118235i
$625$	13.8497	+	20.8131i	0.553987	+	0.832525i
$626$	18.0065	−	10.3961i	0.719684	−	0.415510i
$627$	−6.33276	−	8.80632i	−0.252906	−	0.351691i
$628$	30.5127	−	8.17584i	1.21759	−	0.326252i
$629$	−0.788096			−0.0314234
$630$	23.8385	+	31.0329i	0.949748	+	1.23638i
$631$	−15.6090			−0.621384			−0.310692	−	0.950511i	$-0.600561\pi$
$631$	−15.6090			−0.621384			−0.310692	+	0.950511i	$0.600561\pi$
$632$	−26.1984	+	7.01983i	−1.04211	+	0.279234i
$633$	9.66307	−	0.967997i	0.384073	−	0.0384744i
$634$	11.5654	−	6.67730i	0.459322	−	0.265190i
$635$	−15.6753	+	9.38526i	−0.622054	+	0.372443i
$636$	−53.1715	−	43.4886i	−2.10839	−	1.72443i
$637$	9.16095	−	19.9706i	0.362970	−	0.791263i
$638$	−19.0027	+	19.0027i	−0.752324	+	0.752324i
$639$	−16.0028	−	18.1254i	−0.633061	−	0.717031i
$640$	−30.8175	+	0.489634i	−1.21817	+	0.0193545i
$641$	11.2506	−	19.4866i	0.444371	−	0.769673i	−0.553637	−	0.832758i	$-0.686761\pi$
$641$	11.2506	−	19.4866i	0.444371	−	0.769673i	0.998008	+	0.0630849i	$0.0200939\pi$
$642$	37.2082	−	26.7570i	1.46849	−	1.05602i
$643$	2.36759	−	8.83595i	0.0933685	−	0.348456i	−0.903399	−	0.428802i	$-0.858936\pi$
$643$	2.36759	−	8.83595i	0.0933685	−	0.348456i	0.996767	+	0.0803459i	$0.0256025\pi$
$644$	−7.37438	−	41.0714i	−0.290591	−	1.61844i
$645$	12.1802	−	28.1882i	0.479594	−	1.10991i
$646$	12.8474	−	22.2523i	0.505474	−	0.875506i
$647$	−10.7787	+	10.7787i	−0.423754	+	0.423754i	−0.886494	−	0.462740i	$-0.846866\pi$
$647$	−10.7787	+	10.7787i	−0.423754	+	0.423754i	0.462740	+	0.886494i	$0.346866\pi$
$648$	−10.4949	−	13.4901i	−0.412280	−	0.529940i
$649$	−11.0045			−0.431964
$650$	−16.3406	+	30.5012i	−0.640930	+	1.19636i
$651$	35.5417	−	0.558039i	1.39299	−	0.0218713i
$652$	−9.96777	+	37.2002i	−0.390368	+	1.45687i
$653$	−8.73699	−	2.34107i	−0.341905	−	0.0916131i	0.0837810	−	0.996484i	$-0.473300\pi$
$653$	−8.73699	−	2.34107i	−0.341905	−	0.0916131i	−0.425686	+	0.904871i	$0.639967\pi$
$654$	13.9153	+	2.27361i	0.544132	+	0.0889051i
$655$	8.41617	+	29.5252i	0.328847	+	1.15364i
$656$			2.23467i			0.0872492i
$657$	−1.46344	+	23.5296i	−0.0570942	+	0.917975i
$658$	45.1805	−	21.2401i	1.76132	−	0.828027i
$659$	−18.4598	−	10.6578i	−0.719092	−	0.415168i	0.0953264	−	0.995446i	$-0.469611\pi$
$659$	−18.4598	−	10.6578i	−0.719092	−	0.415168i	−0.814418	+	0.580278i	$0.802944\pi$
$660$	−12.0568	+	15.2287i	−0.469310	+	0.592775i
$661$	−33.4746	+	19.3266i	−1.30201	+	0.751717i	−0.980749	−	0.195273i	$-0.937441\pi$
$661$	−33.4746	+	19.3266i	−1.30201	+	0.751717i	−0.321263	+	0.946990i	$0.604107\pi$
$662$	1.42848	−	5.33116i	0.0555194	−	0.207201i
$663$	17.6439	−	1.76748i	0.685234	−	0.0686432i
$664$	9.73928	−	16.8689i	0.377957	−	0.654641i
$665$	19.9969	+	6.85066i	0.775447	+	0.265657i
$666$	0.317021	+	1.56646i	0.0122843	+	0.0606991i
$667$	27.1040	+	27.1040i	1.04947	+	1.04947i
$668$	−8.53718	+	2.28753i	−0.330313	+	0.0885072i
$669$	−7.94415	+	48.6212i	−0.307139	+	1.87980i
$670$	16.0090	+	4.01814i	0.618482	+	0.155234i
$671$	2.32997	−	1.34521i	0.0899474	−	0.0519312i
$672$	−22.9094	+	23.6402i	−0.883748	+	0.911942i
$673$	−9.19874	−	34.3302i	−0.354585	−	1.32333i	−0.881006	−	0.473106i	$-0.843133\pi$
$673$	−9.19874	−	34.3302i	−0.354585	−	1.32333i	0.526420	−	0.850224i	$-0.323534\pi$
$674$			68.9546i			2.65603i
$675$	−25.5019	−	4.96536i	−0.981567	−	0.191117i
$676$	9.00750			0.346442
$677$	−4.34930	−	16.2318i	−0.167157	−	0.623839i	−0.997755	−	0.0669665i	$-0.978668\pi$
$677$	−4.34930	−	16.2318i	−0.167157	−	0.623839i	0.830598	−	0.556872i	$-0.187999\pi$
$678$	−6.65745	+	14.7587i	−0.255678	+	0.566805i
$679$	16.2960	−	2.92596i	0.625385	−	0.112288i
$680$	−13.4339	−	3.37181i	−0.515167	−	0.129303i
$681$	12.1529	+	1.98564i	0.465699	+	0.0760900i
$682$	7.75844	+	28.9549i	0.297086	+	1.10874i
$683$	−14.7830	+	14.7830i	−0.565656	+	0.565656i	−0.930909	−	0.365252i	$-0.880983\pi$
$683$	−14.7830	+	14.7830i	−0.565656	+	0.565656i	0.365252	+	0.930909i	$0.380983\pi$
$684$	−29.0751	−	9.76167i	−1.11171	−	0.373247i
$685$	−0.0784117	−	4.93522i	−0.00299596	−	0.188565i
$686$	0.382732	+	40.8324i	0.0146128	+	1.55899i
$687$	−15.0370	+	1.50633i	−0.573696	+	0.0574699i
$688$	11.7594	+	3.15091i	0.448322	+	0.120127i
$689$	−21.7523	−	37.6760i	−0.828696	−	1.43534i
$690$	36.9035	+	29.2171i	1.40489	+	1.11228i
$691$	17.7537	+	10.2501i	0.675383	+	0.389933i	0.798113	−	0.602507i	$-0.205832\pi$
$691$	17.7537	+	10.2501i	0.675383	+	0.389933i	−0.122730	+	0.992440i	$0.539165\pi$
$692$	46.6477	−	46.6477i	1.77328	−	1.77328i
$693$	1.60384	+	13.8192i	0.0609247	+	0.524949i
$694$		−	4.04463i		−	0.153532i
$695$	13.1627	−	3.75203i	0.499289	−	0.142323i
$696$	−3.68840	+	22.5744i	−0.139809	+	0.855681i
$697$	−1.22859	+	4.58515i	−0.0465361	+	0.173675i
$698$	8.38290	−	31.2854i	0.317297	−	1.18417i
$699$	17.2756	+	45.6690i	0.653422	+	1.72736i
$700$	1.98133	−	37.7998i	0.0748872	−	1.42870i
$701$	11.4734			0.433346			0.216673	−	0.976244i	$-0.430479\pi$
$701$	11.4734			0.433346			0.216673	+	0.976244i	$0.430479\pi$
$702$	−10.6106	−	34.3590i	−0.400472	−	1.29680i
$703$	0.610448	+	0.610448i	0.0230235	+	0.0230235i
$704$	−19.3806	−	11.1894i	−0.730432	−	0.421715i
$705$	−13.1475	+	30.4269i	−0.495164	+	1.14594i
$706$	24.1426	−	13.9387i	0.908619	−	0.524591i
$707$	−14.4547	+	20.7814i	−0.543627	+	0.781565i
$708$	−25.2620	+	18.1663i	−0.949403	+	0.682731i
$709$	36.6042	+	21.1334i	1.37470	+	0.793682i	0.991515	−	0.129990i	$-0.0414945\pi$
$709$	36.6042	+	21.1334i	1.37470	+	0.793682i	0.383183	+	0.923672i	$0.374828\pi$
$710$	0.631244	+	39.7304i	0.0236902	+	1.49106i
$711$	−8.49888	−	41.9945i	−0.318733	−	1.57492i
$712$	10.6785	−	10.6785i	0.400193	−	0.400193i
$713$	41.2990	−	11.0660i	1.54666	−	0.414426i
$714$	−28.2781	+	16.9238i	−1.05828	+	0.633357i
$715$	−10.5545	+	6.31932i	−0.394717	+	0.236329i
$716$	−10.6684	−	18.4782i	−0.398698	−	0.690565i
$717$	−4.80473	−	47.9635i	−0.179436	−	1.79123i
$718$	14.6929	+	54.8346i	0.548334	+	2.04641i
$719$	6.32327			0.235818			0.117909	−	0.993024i	$-0.462381\pi$
$719$	6.32327			0.235818			0.117909	+	0.993024i	$0.462381\pi$
$720$	0.476004	−	10.2893i	0.0177396	−	0.383461i
$721$	−4.64267	−	1.67338i	−0.172902	−	0.0623201i
$722$	13.2768	−	3.55750i	0.494110	−	0.132397i
$723$	31.0433	−	22.3237i	1.15451	−	0.830228i
$724$	8.32267	+	14.4153i	0.309310	+	0.535740i
$725$	18.3328	+	29.5442i	0.680864	+	1.09724i
$726$	28.3175	−	10.7119i	1.05096	−	0.397554i
$727$	−6.28549	−	23.4578i	−0.233116	−	0.870000i	−0.978989	−	0.203912i	$-0.934634\pi$
$727$	−6.28549	−	23.4578i	−0.233116	−	0.870000i	0.745873	−	0.666088i	$-0.232032\pi$
$728$	14.2723	−	6.70964i	0.528966	−	0.248676i
$729$	22.2985	−	15.2242i	0.825871	−	0.563859i
$730$	26.9568	−	27.8272i	0.997714	−	1.02993i
$731$	22.3958	+	12.9302i	0.828339	+	0.478242i
$732$	3.12801	−	6.93440i	0.115615	−	0.256303i
$733$	−5.11473	+	19.0884i	−0.188917	+	0.705047i	0.804841	+	0.593490i	$0.202250\pi$
$733$	−5.11473	+	19.0884i	−0.188917	+	0.705047i	−0.993758	+	0.111557i	$0.964416\pi$
$734$	−35.3489	−	61.2260i	−1.30475	−	2.25989i
$735$	−18.1368	−	20.1509i	−0.668985	−	0.743276i
$736$	−19.7983	+	34.2917i	−0.729776	+	1.26401i
$737$	4.14927	+	4.14927i	0.152840	+	0.152840i
$738$	9.60790	+	0.597571i	0.353672	+	0.0219969i
$739$			12.6572i			0.465601i	0.972525	+	0.232800i	$0.0747889\pi$
$739$			12.6572i			0.465601i	−0.972525	+	0.232800i	$0.925211\pi$
$740$	0.751598	−	1.35092i	0.0276293	−	0.0496609i
$741$	−15.0358	−	12.2977i	−0.552355	−	0.451767i
$742$	66.3759	+	46.1685i	2.43674	+	1.69490i
$743$	19.8976	+	5.33154i	0.729971	+	0.195595i	0.604616	−	0.796517i	$-0.293326\pi$
$743$	19.8976	+	5.33154i	0.729971	+	0.195595i	0.125355	+	0.992112i	$0.459993\pi$
$744$	19.7498	+	16.1533i	0.724065	+	0.592207i
$745$	−7.60253	−	26.6708i	−0.278535	−	0.977142i
$746$	71.4789			2.61703
$747$	25.6417	+	17.0098i	0.938179	+	0.622357i
$748$	−11.5668	−	11.5668i	−0.422923	−	0.422923i
$749$	−24.2590	+	20.4852i	−0.886405	+	0.748514i
$750$	26.5508	+	33.4373i	0.969498	+	1.22096i
$751$	7.87465	+	13.6393i	0.287350	+	0.497705i	0.973176	−	0.230060i	$-0.0738923\pi$
$751$	7.87465	+	13.6393i	0.287350	+	0.497705i	−0.685826	+	0.727765i	$0.740559\pi$
$752$	−12.6933	−	3.40115i	−0.462876	−	0.124027i
$753$	−31.2300	−	14.0874i	−1.13808	−	0.513374i
$754$	−24.0626	+	41.6777i	−0.876310	+	1.51781i
$755$	−22.2671	−	21.5706i	−0.810382	−	0.785034i
$756$	26.4947	+	29.0759i	0.963601	+	1.05748i
$757$	−9.54364	−	9.54364i	−0.346869	−	0.346869i	0.512073	−	0.858942i	$-0.328878\pi$
$757$	−9.54364	−	9.54364i	−0.346869	−	0.346869i	−0.858942	+	0.512073i	$0.828878\pi$
$758$	9.21382	+	34.3865i	0.334661	+	1.24897i
$759$	5.92056	+	15.6514i	0.214903	+	0.568108i
$760$	7.79397	+	13.0175i	0.282717	+	0.472194i
$761$	24.1954	−	13.9692i	0.877084	−	0.506385i	0.00738822	−	0.999973i	$-0.497648\pi$
$761$	24.1954	−	13.9692i	0.877084	−	0.506385i	0.869696	+	0.493588i	$0.164315\pi$
$762$	−25.3328	+	18.2172i	−0.917710	+	0.659940i
$763$	−9.73389	−	0.820969i	−0.352390	−	0.0297211i
$764$		−	32.2580i		−	1.16705i
$765$	6.63359	−	20.8502i	0.239838	−	0.753841i
$766$		−	2.74159i		−	0.0990578i
$767$	−19.0352	+	5.10046i	−0.687320	+	0.184167i
$768$	−8.36769	+	0.838233i	−0.301943	+	0.0302471i
$769$	−16.8614	−	29.2048i	−0.608038	−	1.05315i	−0.991563	−	0.129623i	$-0.958623\pi$
$769$	−16.8614	−	29.2048i	−0.608038	−	1.05315i	0.383525	−	0.923530i	$-0.374710\pi$
$770$	12.7552	−	18.9740i	0.459665	−	0.683777i
$771$	−14.8020	+	18.0977i	−0.533081	+	0.651774i
$772$	29.0163	−	7.77490i	1.04432	−	0.279825i
$773$	−13.2116	−	13.2116i	−0.475188	−	0.475188i	0.428401	−	0.903589i	$-0.359077\pi$
$773$	−13.2116	−	13.2116i	−0.475188	−	0.475188i	−0.903589	+	0.428401i	$0.859077\pi$
$774$	16.6918	−	49.7165i	0.599975	−	1.78702i
$775$	38.7644	−	1.23210i	1.39246	−	0.0442584i
$776$	10.2919	+	5.94204i	0.369458	+	0.213307i
$777$	−0.303334	−	1.06489i	−0.0108820	−	0.0382029i
$778$	−28.7323	−	7.69880i	−1.03010	−	0.276015i
$779$	4.50324	−	2.59995i	0.161345	−	0.0931528i
$780$	−13.7971	+	31.9302i	−0.494014	+	1.14328i
$781$	−7.06325	+	12.2339i	−0.252743	+	0.437764i
$782$	−28.0296	+	28.0296i	−1.00234	+	1.00234i
$783$	−35.2307	−	8.02909i	−1.25904	−	0.286936i
$784$	6.85734	−	8.27675i	0.244905	−	0.295598i
$785$	12.0019	−	21.5723i	0.428367	−	0.769948i
$786$	18.5515	+	49.0420i	0.661710	+	1.74927i
$787$	15.3371	+	4.10957i	0.546709	+	0.146490i	0.521593	−	0.853194i	$-0.325338\pi$
$787$	15.3371	+	4.10957i	0.546709	+	0.146490i	0.0251160	+	0.999685i	$0.492005\pi$
$788$	−5.51205	−	1.47695i	−0.196359	−	0.0526142i
$789$	−31.2750	−	5.10998i	−1.11342	−	0.181920i
$790$	−34.2331	+	61.5307i	−1.21796	+	2.18916i
$791$	3.80351	−	10.5525i	0.135237	−	0.375204i
$792$	−5.52009	+	8.32133i	−0.196148	+	0.295686i
$793$	3.40681	−	3.40681i	0.120979	−	0.120979i
$794$	−12.3335	+	21.3623i	−0.437700	+	0.758119i
$795$	−53.3217	+	6.19854i	−1.89113	+	0.219840i
$796$	44.6073	−	25.7540i	1.58106	−	0.912827i
$797$	44.5240	+	11.9302i	1.57712	+	0.422588i	0.938033	−	0.346546i	$-0.112645\pi$
$797$	44.5240	+	11.9302i	1.57712	+	0.422588i	0.639088	+	0.769134i	$0.279312\pi$
$798$	35.0128	+	8.79491i	1.23944	+	0.311336i
$799$	−24.1745	−	13.9571i	−0.855231	−	0.493768i
$800$	−24.5784	+	26.1921i	−0.868976	+	0.926029i
$801$	15.7893	+	17.8836i	0.557886	+	0.631885i
$802$	2.15745	+	2.15745i	0.0761821	+	0.0761821i
$803$	13.3043	−	3.56489i	0.469500	−	0.125802i
$804$	16.3747	+	2.67545i	0.577493	+	0.0943557i
$805$	−27.0631	−	18.1930i	−0.953849	−	0.641219i
$806$	26.8405	+	46.4892i	0.945417	+	1.63751i
$807$	1.47715	−	3.27466i	0.0519983	−	0.115273i
$808$	−17.5509	+	4.70276i	−0.617440	+	0.165443i
$809$			4.10297i			0.144253i	0.997396	+	0.0721263i	$0.0229785\pi$
$809$			4.10297i			0.144253i	−0.997396	+	0.0721263i	$0.977022\pi$
$810$	−44.1114	−	4.79802i	−1.54992	−	0.168585i
$811$			17.3387i			0.608843i	0.952537	+	0.304422i	$0.0984631\pi$
$811$			17.3387i			0.608843i	−0.952537	+	0.304422i	$0.901537\pi$
$812$	4.42437	−	52.4579i	0.155265	−	1.84091i
$813$	−3.77246	−	1.70171i	−0.132306	−	0.0596814i
$814$	0.808657	−	0.466878i	0.0283434	−	0.0163641i
$815$	15.4606	+	25.8222i	0.541560	+	0.904513i
$816$	8.56103	+	1.39878i	0.299696	+	0.0489670i
$817$	−7.33191	−	27.3631i	−0.256511	−	0.957313i
$818$	32.6163	+	32.6163i	1.14040	+	1.14040i
$819$	9.17931	+	23.1606i	0.320751	+	0.809298i
$820$	−6.68800	−	6.47880i	−0.233555	−	0.226250i
$821$	17.8147	−	30.8560i	0.621738	−	1.07688i	−0.367423	−	0.930054i	$-0.619760\pi$
$821$	17.8147	−	30.8560i	0.621738	−	1.07688i	0.989162	−	0.146829i	$-0.0469067\pi$
$822$	−0.840243	−	8.38776i	−0.0293068	−	0.292557i
$823$	7.46093	+	1.99915i	0.260072	+	0.0696860i	0.386499	−	0.922290i	$-0.373684\pi$
$823$	7.46093	+	1.99915i	0.260072	+	0.0696860i	−0.126427	+	0.991976i	$0.540351\pi$
$824$	−1.77114	−	3.06771i	−0.0617007	−	0.106869i
$825$	1.99206	+	15.0479i	0.0693545	+	0.523902i
$826$	27.9827	−	23.6296i	0.973642	−	0.822180i
$827$	10.2064	+	10.2064i	0.354911	+	0.354911i	0.861933	−	0.507022i	$-0.169254\pi$
$827$	10.2064	+	10.2064i	0.354911	+	0.354911i	−0.507022	+	0.861933i	$0.669254\pi$
$828$	39.4287	+	26.1557i	1.37024	+	0.908972i
$829$	−44.7171			−1.55309			−0.776544	−	0.630063i	$-0.783029\pi$
$829$	−44.7171			−1.55309			−0.776544	+	0.630063i	$0.783029\pi$
$830$	−13.8623	−	48.6309i	−0.481167	−	1.68800i
$831$	1.01106	−	6.18805i	0.0350732	−	0.214661i
$832$	−38.7099	−	10.3723i	−1.34203	−	0.359595i
$833$	18.6205	−	13.2124i	0.645162	−	0.457782i
$834$	21.8635	−	8.27048i	0.757072	−	0.286383i
$835$	−3.35804	+	6.03574i	−0.116210	+	0.208875i
$836$			17.9189i			0.619738i
$837$	−27.4051	+	29.5549i	−0.947257	+	1.02157i
$838$	24.0635	+	24.0635i	0.831261	+	0.831261i
$839$	−15.7657	+	27.3071i	−0.544294	+	0.942745i	0.454357	+	0.890820i	$0.349869\pi$
$839$	−15.7657	+	27.3071i	−0.544294	+	0.942745i	−0.998651	+	0.0519250i	$0.983464\pi$
$840$	−0.614563	−	19.4500i	−0.0212044	−	0.671090i
$841$	9.67904	+	16.7646i	0.333760	+	0.578089i
$842$	22.9270	−	85.5649i	0.790118	−	2.94876i
$843$	−14.1741	−	19.7104i	−0.488180	−	0.678862i
$844$	−13.8938	−	8.02157i	−0.478243	−	0.276114i
$845$	4.89776	−	5.05591i	0.168488	−	0.173928i
$846$	−18.0174	+	53.6648i	−0.619453	+	1.84504i
$847$	−18.9822	+	8.92386i	−0.652237	+	0.306627i
$848$	−5.50826	−	20.5571i	−0.189154	−	0.705934i
$849$	−12.7359	−	10.4166i	−0.437094	−	0.357496i
$850$	−30.5532	+	18.9589i	−1.04797	+	0.650285i
$851$	−0.665919	−	1.15341i	−0.0228274	−	0.0395382i
$852$	3.98138	+	39.7443i	0.136400	+	1.36162i
$853$	−5.51391	+	1.47745i	−0.188793	+	0.0505869i	−0.351977	−	0.936009i	$-0.614490\pi$
$853$	−5.51391	+	1.47745i	−0.188793	+	0.0505869i	0.163184	+	0.986596i	$0.447824\pi$
$854$	−3.03621	+	8.42373i	−0.103897	+	0.288254i
$855$	−21.2886	+	11.0120i	−0.728054	+	0.376602i
$856$	−22.7905			−0.778965
$857$	2.54975	+	9.51581i	0.0870979	+	0.325054i	0.995703	−	0.0926020i	$-0.0295184\pi$
$857$	2.54975	+	9.51581i	0.0870979	+	0.325054i	−0.908605	+	0.417656i	$0.862852\pi$
$858$	−17.0572	+	12.2661i	−0.582322	+	0.418757i
$859$	−26.2192	−	45.4130i	−0.894588	−	1.54947i	−0.834314	−	0.551290i	$-0.814136\pi$
$859$	−26.2192	−	45.4130i	−0.894588	−	1.54947i	−0.0602743	−	0.998182i	$-0.519198\pi$
$860$	−43.5231	+	26.0586i	−1.48413	+	0.888592i
$861$	−6.66844	+	0.104701i	−0.227260	+	0.00356820i
$862$	−33.1349	+	8.87846i	−1.12858	+	0.302402i
$863$	−6.28470	+	6.28470i	−0.213934	+	0.213934i	−0.805936	−	0.592002i	$-0.798338\pi$
$863$	−6.28470	+	6.28470i	−0.213934	+	0.213934i	0.592002	+	0.805936i	$0.298338\pi$
$864$	−1.40788	−	37.3008i	−0.0478969	−	1.26900i
$865$	−0.818998	−	51.5476i	−0.0278468	−	1.75267i
$866$	50.3542	+	29.0720i	1.71110	+	0.987907i
$867$	−10.0438	−	4.53061i	−0.341104	−	0.153867i
$868$	−48.2069	−	33.5309i	−1.63625	−	1.13811i
$869$	−21.6789	+	12.5163i	−0.735406	+	0.424587i
$870$	35.4308	+	47.6542i	1.20122	+	1.61563i
$871$	9.10040	+	5.25412i	0.308355	+	0.178029i
$872$	−4.95797	−	4.95797i	−0.167898	−	0.167898i
$873$	−10.3779	+	15.6443i	−0.351238	+	0.529478i
$874$	43.4227			1.46880
$875$	−20.1397	−	21.6655i	−0.680846	−	0.732427i
$876$	24.6566	−	30.1465i	0.833069	−	1.01855i
$877$	1.59034	−	5.93525i	0.0537021	−	0.200419i	−0.933863	−	0.357632i	$-0.883584\pi$
$877$	1.59034	−	5.93525i	0.0537021	−	0.200419i	0.987565	+	0.157213i	$0.0502509\pi$
$878$	0.139337	−	0.520013i	0.00470240	−	0.0175496i
$879$	1.21555	+	0.994188i	0.0409994	+	0.0335331i
$880$	−5.78742	+	1.64971i	−0.195094	+	0.0556117i
$881$			39.8374i			1.34215i	0.741387	+	0.671077i	$0.234168\pi$
$881$			39.8374i			1.34215i	−0.741387	+	0.671077i	$0.765832\pi$
$882$	−33.7519	−	31.6962i	−1.13649	−	1.06727i
$883$	−24.0661	+	24.0661i	−0.809889	+	0.809889i	−0.984617	−	0.174728i	$-0.944095\pi$
$883$	−24.0661	+	24.0661i	−0.809889	+	0.809889i	0.174728	+	0.984617i	$0.444095\pi$
$884$	−25.3688	−	14.6467i	−0.853246	−	0.492622i
$885$	−3.53928	+	24.0573i	−0.118971	+	0.808678i
$886$	−36.6322	−	63.4489i	−1.23068	−	2.13161i
$887$	18.1586	+	4.86559i	0.609707	+	0.163371i	0.550444	−	0.834872i	$-0.314458\pi$
$887$	18.1586	+	4.86559i	0.609707	+	0.163371i	0.0592630	+	0.998242i	$0.481125\pi$
$888$	0.326799	−	0.724472i	0.0109667	−	0.0243117i
$889$	16.5165	−	13.9471i	0.553944	−	0.467771i
$890$	−0.622821	−	39.2003i	−0.0208770	−	1.31400i
$891$	−12.5787	−	9.51937i	−0.421401	−	0.318911i
$892$	57.5490	−	57.5490i	1.92688	−	1.92688i
$893$	7.91420	+	29.5362i	0.264839	+	0.988391i
$894$	−16.7580	−	44.3008i	−0.560471	−	1.48164i
$895$	−16.1727	−	4.05923i	−0.540594	−	0.135685i
$896$	35.8943	−	6.44483i	1.19915	−	0.215307i
$897$	17.4954	+	24.3290i	0.584154	+	0.812323i
$898$	10.0768	+	37.6070i	0.336266	+	1.25496i
$899$	53.9407			1.79902
$900$	29.4142	+	31.2556i	0.980474	+	1.04185i
$901$		−	45.2079i		−	1.50609i
$902$	−1.45566	−	5.43260i	−0.0484682	−	0.180886i
$903$	−8.85162	+	35.2386i	−0.294564	+	1.17267i
$904$	6.97273	−	4.02571i	0.231909	−	0.133893i
$905$	12.6167	+	3.16669i	0.419393	+	0.105264i
$906$	−40.9844	−	33.5208i	−1.36162	−	1.11366i
$907$	−38.4697	+	10.3079i	−1.27737	+	0.342269i	−0.832849	−	0.553501i	$-0.813292\pi$
$907$	−38.4697	+	10.3079i	−1.27737	+	0.342269i	−0.444518	+	0.895770i	$0.646625\pi$
$908$	−14.3844	−	14.3844i	−0.477362	−	0.477362i
$909$	−5.69362	−	28.1332i	−0.188845	−	0.933119i
$910$	13.2692	−	38.7325i	0.439870	−	1.28397i
$911$	−10.7958	+	18.6988i	−0.357679	+	0.619519i	−0.987573	−	0.157163i	$-0.949765\pi$
$911$	−10.7958	+	18.6988i	−0.357679	+	0.619519i	0.629893	+	0.776682i	$0.283099\pi$
$912$	−5.54779	−	7.71473i	−0.183706	−	0.255460i
$913$	4.65296	−	17.3651i	0.153990	−	0.574700i
$914$	−35.9484	+	20.7548i	−1.18907	+	0.686509i
$915$	−2.19144	−	5.52628i	−0.0724468	−	0.182693i
$916$	21.6205	+	12.4826i	0.714360	+	0.412436i
$917$	−15.4549	−	32.8746i	−0.510366	−	1.08562i
$918$	8.30329	−	36.4339i	0.274050	−	1.20250i
$919$			4.60295i			0.151837i	0.997114	+	0.0759187i	$0.0241889\pi$
$919$			4.60295i			0.151837i	−0.997114	+	0.0759187i	$0.975811\pi$
$920$	−6.41652	−	22.5101i	−0.211546	−	0.742136i
$921$	−18.8192	−	49.7498i	−0.620115	−	1.63931i
$922$	14.9027	+	3.99317i	0.490794	+	0.131508i
$923$	−6.54747	+	24.4355i	−0.215513	+	0.804304i
$924$	11.1773	−	20.0813i	0.367706	−	0.660625i
$925$	−0.349597	−	1.15643i	−0.0114947	−	0.0380230i
$926$	−54.8967			−1.80402
$927$	5.01044	−	2.49168i	0.164565	−	0.0818375i
$928$	−35.3236	+	35.3236i	−1.15955	+	1.15955i
$929$	−27.3004	+	47.2857i	−0.895697	+	1.55139i	−0.0627567	+	0.998029i	$0.519989\pi$
$929$	−27.3004	+	47.2857i	−0.895697	+	1.55139i	−0.832940	+	0.553363i	$0.813344\pi$
$930$	65.7946	−	7.64850i	2.15749	−	0.250804i
$931$	−24.6573	−	4.18905i	−0.808110	−	0.137291i
$932$	20.8769	−	77.9135i	0.683844	−	2.55214i
$933$	−2.13978	−	21.3604i	−0.0700532	−	0.699309i
$934$	9.13254	−	15.8180i	0.298826	−	0.517581i
$935$	−12.7818	+	0.203079i	−0.418008	+	0.00664139i
$936$	−5.69161	+	16.9524i	−0.186036	+	0.554108i
$937$	−12.2975	+	12.2975i	−0.401741	+	0.401741i	−0.878846	−	0.477105i	$-0.841686\pi$
$937$	−12.2975	+	12.2975i	−0.401741	+	0.401741i	0.477105	+	0.878846i	$0.341686\pi$
$938$	−19.4605	−	1.64133i	−0.635409	−	0.0535912i
$939$	2.63380	−	16.1199i	0.0859509	−	0.526052i
$940$	46.9797	−	28.1282i	1.53231	−	0.917440i
$941$	27.9778	−	16.1530i	0.912050	−	0.526572i	0.0309597	−	0.999521i	$-0.490144\pi$
$941$	27.9778	−	16.1530i	0.912050	−	0.526572i	0.881090	+	0.472948i	$0.156810\pi$
$942$	17.3360	−	38.4316i	0.564836	−	1.25217i
$943$	−7.74865	+	2.07624i	−0.252331	+	0.0676118i
$944$	−9.64043			−0.313769
$945$	30.7265	+	0.938351i	0.999534	+	0.0305245i
$946$	−30.6401			−0.996197
$947$	−11.7363	+	3.14474i	−0.381379	+	0.102190i	−0.444415	−	0.895821i	$-0.646588\pi$
$947$	−11.7363	+	3.14474i	−0.381379	+	0.102190i	0.0630360	+	0.998011i	$0.479922\pi$
$948$	−29.1042	+	64.5202i	−0.945260	+	2.09552i
$949$	21.3611	−	12.3328i	0.693410	−	0.400340i
$950$	38.3514	+	8.98076i	1.24428	+	0.291374i
$951$	1.69167	−	10.3537i	0.0548561	−	0.335740i
$952$	16.3303	+	1.37732i	0.529267	+	0.0446391i
$953$	13.9500	−	13.9500i	0.451884	−	0.451884i	−0.444095	−	0.895979i	$-0.646475\pi$
$953$	13.9500	−	13.9500i	0.451884	−	0.451884i	0.895979	+	0.444095i	$0.146475\pi$
$954$	−89.8576	+	18.1854i	−2.90925	+	0.588775i
$955$	−18.1064	−	17.5401i	−0.585910	−	0.567583i
$956$	−39.8157	+	68.9629i	−1.28773	+	2.23042i
$957$	2.10428	+	21.0061i	0.0680219	+	0.679031i
$958$	15.0211	−	56.0596i	0.485310	−	1.81120i
$959$	1.03210	+	5.74825i	0.0333282	+	0.185621i
$960$	−30.6947	+	38.7698i	−0.990667	+	1.25129i
$961$	14.5839	−	25.2601i	0.470449	−	0.814842i
$962$	1.18239	−	1.18239i	0.0381219	−	0.0381219i
$963$	2.23489	−	35.9331i	0.0720183	−	1.15793i
$964$	−63.1662			−2.03445
$965$	11.4134	−	20.5144i	0.367409	−	0.660382i
$966$	−48.6628	−	27.0859i	−1.56570	−	0.871474i
$967$	−1.70728	+	6.37166i	−0.0549025	+	0.204899i	−0.987929	−	0.154910i	$-0.950491\pi$
$967$	−1.70728	+	6.37166i	−0.0549025	+	0.204899i	0.933026	+	0.359809i	$0.117158\pi$
$968$	−14.5426	−	3.89669i	−0.467418	−	0.125244i
$969$	−7.14164	−	18.8794i	−0.229423	−	0.606493i
$970$	29.6703	−	8.45754i	0.952655	−	0.271555i
$971$			47.5610i			1.52630i	0.646219	+	0.763152i	$0.276349\pi$
$971$			47.5610i			1.52630i	−0.646219	+	0.763152i	$0.723651\pi$
$972$	−44.5903	−	1.08776i	−1.43024	−	0.0348900i
$973$	−14.6559	+	6.88999i	−0.469847	+	0.220883i
$974$	61.2539	+	35.3649i	1.96270	+	1.13317i
$975$	10.4203	+	25.1061i	0.333718	+	0.804038i
$976$	2.04116	−	1.17846i	0.0653359	−	0.0377217i
$977$	3.79585	−	14.1663i	0.121440	−	0.453220i	−0.878248	−	0.478206i	$-0.841287\pi$
$977$	3.79585	−	14.1663i	0.121440	−	0.453220i	0.999688	+	0.0249858i	$0.00795406\pi$
$978$	30.0096	+	41.7313i	0.959602	+	1.33442i
$979$	6.96900	−	12.0707i	0.222730	−	0.385780i
$980$	4.88999	+	44.5190i	0.156205	+	1.42211i
$981$	8.30327	−	7.33089i	0.265103	−	0.234057i
$982$	−7.84651	−	7.84651i	−0.250392	−	0.250392i
$983$	−18.9708	+	5.08321i	−0.605075	+	0.162129i	−0.548334	−	0.836260i	$-0.684738\pi$
$983$	−18.9708	+	5.08321i	−0.605075	+	0.162129i	−0.0567410	+	0.998389i	$0.518071\pi$
$984$	−3.70553	−	3.03072i	−0.118128	−	0.0966159i
$985$	−3.82615	+	2.29083i	−0.121911	+	0.0729919i
$986$	−43.3096	+	25.0048i	−1.37926	+	0.796315i
$987$	9.55461	−	38.0371i	0.304126	−	1.21074i
$988$	8.30521	+	30.9955i	0.264224	+	0.986097i
$989$			43.7027i			1.38967i
$990$	5.54527	+	25.3240i	0.176240	+	0.804849i
$991$	41.5394			1.31954			0.659771	−	0.751467i	$-0.270653\pi$
$991$	41.5394			1.31954			0.659771	+	0.751467i	$0.270653\pi$
$992$	14.4219	+	53.8234i	0.457897	+	1.70889i
$993$	−2.53133	−	3.52006i	−0.0803294	−	0.111706i
$994$	−8.30879	−	46.2756i	−0.263539	−	1.46777i
$995$	9.79914	−	39.0416i	0.310654	−	1.23770i
$996$	−17.9850	−	47.5445i	−0.569878	−	1.50651i
$997$	−10.4463	−	38.9862i	−0.330838	−	1.23470i	−0.908311	−	0.418295i	$-0.862628\pi$
$997$	−10.4463	−	38.9862i	−0.330838	−	1.23470i	0.577473	−	0.816410i	$-0.304039\pi$
$998$	58.9575	−	58.9575i	1.86627	−	1.86627i
$999$	1.11021	+	0.586298i	0.0351253	+	0.0185496i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.cb.a.97.5	yes	176
3.2	odd	2		945.2.ce.a.937.39		176
5.3	odd	4	inner	315.2.cb.a.223.39	yes	176
7.6	odd	2	inner	315.2.cb.a.97.6	yes	176
9.4	even	3	inner	315.2.cb.a.202.40	yes	176
9.5	odd	6		945.2.ce.a.307.6		176
15.8	even	4		945.2.ce.a.748.5		176
21.20	even	2		945.2.ce.a.937.40		176
35.13	even	4	inner	315.2.cb.a.223.40	yes	176
45.13	odd	12	inner	315.2.cb.a.13.6	yes	176
45.23	even	12		945.2.ce.a.118.40		176
63.13	odd	6	inner	315.2.cb.a.202.39	yes	176
63.41	even	6		945.2.ce.a.307.5		176
105.83	odd	4		945.2.ce.a.748.6		176
315.13	even	12	inner	315.2.cb.a.13.5	✓	176
315.293	odd	12		945.2.ce.a.118.39		176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.cb.a.13.5	✓	176	315.13	even	12	inner
315.2.cb.a.13.6	yes	176	45.13	odd	12	inner
315.2.cb.a.97.5	yes	176	1.1	even	1	trivial
315.2.cb.a.97.6	yes	176	7.6	odd	2	inner
315.2.cb.a.202.39	yes	176	63.13	odd	6	inner
315.2.cb.a.202.40	yes	176	9.4	even	3	inner
315.2.cb.a.223.39	yes	176	5.3	odd	4	inner
315.2.cb.a.223.40	yes	176	35.13	even	4	inner
945.2.ce.a.118.39		176	315.293	odd	12
945.2.ce.a.118.40		176	45.23	even	12
945.2.ce.a.307.5		176	63.41	even	6
945.2.ce.a.307.6		176	9.5	odd	6
945.2.ce.a.748.5		176	15.8	even	4
945.2.ce.a.748.6		176	105.83	odd	4
945.2.ce.a.937.39		176	3.2	odd	2
945.2.ce.a.937.40		176	21.20	even	2

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:	\( N \)	\(=\)	\( 315 = 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	315.cb (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.12971 + 0.570655i) q^{2} +(-0.712199 + 1.57885i) q^{3} +(2.47798 - 1.43066i) q^{4} +(0.544352 - 2.16880i) q^{5} +(0.615799 - 3.76892i) q^{6} +(-0.222357 + 2.63639i) q^{7} +(-1.34285 + 1.34285i) q^{8} +(-1.98555 - 2.24891i) q^{9} +O(q^{10})\)	\(q+(-2.12971 + 0.570655i) q^{2} +(-0.712199 + 1.57885i) q^{3} +(2.47798 - 1.43066i) q^{4} +(0.544352 - 2.16880i) q^{5} +(0.615799 - 3.76892i) q^{6} +(-0.222357 + 2.63639i) q^{7} +(-1.34285 + 1.34285i) q^{8} +(-1.98555 - 2.24891i) q^{9} +(0.0783216 + 4.92955i) q^{10} +(-0.876372 + 1.51792i) q^{11} +(0.493990 + 4.93127i) q^{12} +(-0.812378 + 3.03183i) q^{13} +(-1.03091 - 5.74164i) q^{14} +(3.03652 + 2.40407i) q^{15} +(-0.767742 + 1.32977i) q^{16} +(-2.30636 + 2.30636i) q^{17} +(5.51199 + 3.65647i) q^{18} +3.57294 q^{19} +(-1.75392 - 6.15301i) q^{20} +(-4.00411 - 2.22870i) q^{21} +(1.00021 - 3.73284i) q^{22} +(-5.32424 - 1.42663i) q^{23} +(-1.16378 - 3.07654i) q^{24} +(-4.40736 - 2.36118i) q^{25} -6.92052i q^{26} +(4.96480 - 1.53321i) q^{27} +(3.22079 + 6.85103i) q^{28} +(-6.02234 - 3.47700i) q^{29} +(-7.83881 - 3.38716i) q^{30} +(-6.71758 + 3.87840i) q^{31} +(1.85926 - 6.93887i) q^{32} +(-1.77242 - 2.46472i) q^{33} +(3.59574 - 6.22801i) q^{34} +(5.59676 + 1.91737i) q^{35} +(-8.13757 - 2.73211i) q^{36} +(0.170853 + 0.170853i) q^{37} +(-7.60934 + 2.03892i) q^{38} +(-4.20824 - 3.44189i) q^{39} +(2.18139 + 3.64335i) q^{40} +(1.26037 - 0.727677i) q^{41} +(9.79942 + 2.46153i) q^{42} +(-2.05207 - 7.65841i) q^{43} +5.01517i q^{44} +(-5.95827 + 3.08205i) q^{45} +12.1532 q^{46} +(2.21504 + 8.26663i) q^{47} +(-1.55272 - 2.15921i) q^{48} +(-6.90112 - 1.17244i) q^{49} +(10.7338 + 2.51355i) q^{50} +(-1.99881 - 5.28398i) q^{51} +(2.32447 + 8.67505i) q^{52} +(-9.80072 + 9.80072i) q^{53} +(-9.69867 + 6.09849i) q^{54} +(2.81501 + 2.72696i) q^{55} +(-3.24168 - 3.83887i) q^{56} +(-2.54465 + 5.64115i) q^{57} +(14.8100 + 3.96833i) q^{58} +(3.13922 + 5.43728i) q^{59} +(10.9638 + 1.61298i) q^{60} +(-1.32933 - 0.767487i) q^{61} +(12.0933 - 12.0933i) q^{62} +(6.37051 - 4.73462i) q^{63} +12.7678i q^{64} +(6.13321 + 3.41227i) q^{65} +(5.18126 + 4.23771i) q^{66} +(0.866492 - 3.23379i) q^{67} +(-2.41548 + 9.01471i) q^{68} +(6.04434 - 7.39014i) q^{69} +(-13.0136 - 0.889632i) q^{70} +8.05964 q^{71} +(5.68624 + 0.353660i) q^{72} +(-5.55668 - 5.55668i) q^{73} +(-0.461366 - 0.266370i) q^{74} +(6.86687 - 5.27695i) q^{75} +(8.85367 - 5.11167i) q^{76} +(-3.80697 - 2.64798i) q^{77} +(10.9265 + 4.92879i) q^{78} +(12.3685 + 7.14098i) q^{79} +(2.46607 + 2.38894i) q^{80} +(-1.11521 + 8.93064i) q^{81} +(-2.26898 + 2.26898i) q^{82} +(-9.90736 + 2.65467i) q^{83} +(-13.1106 + 0.205849i) q^{84} +(3.74655 + 6.25749i) q^{85} +(8.74062 + 15.1392i) q^{86} +(9.77877 - 7.03207i) q^{87} +(-0.861504 - 3.21518i) q^{88} -7.95210 q^{89} +(10.9306 - 9.96399i) q^{90} +(-7.81246 - 2.81589i) q^{91} +(-15.2344 + 4.08203i) q^{92} +(-1.33916 - 13.3683i) q^{93} +(-9.43478 - 16.3415i) q^{94} +(1.94494 - 7.74899i) q^{95} +(9.63128 + 7.87736i) q^{96} +(-1.61964 - 6.04459i) q^{97} +(15.3664 - 1.44120i) q^{98} +(5.15375 - 1.04302i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

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