LMFDB - Embedded newform 315.2.cb.a.13.6

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			13.6
Character	$\chi$	$=$	315.13
Dual form			315.2.cb.a.97.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.12971 - 0.570655i) q^{2} +(0.712199 + 1.57885i) q^{3} +(2.47798 + 1.43066i) q^{4} +(-0.544352 - 2.16880i) q^{5} +(-0.615799 - 3.76892i) q^{6} +(-1.51076 + 2.17200i) q^{7} +(-1.34285 - 1.34285i) q^{8} +(-1.98555 + 2.24891i) q^{9} +O(q^{10})$	\(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} +(-1.51076 + 2.17200i) 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} +(4.45695 - 3.76362i) 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} +(-4.50523 - 0.838372i) 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} +(-6.85103 + 3.22079i) 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} +(5.53302 + 2.09420i) 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} +(9.11643 + 4.35642i) 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} +(-2.43520 - 6.56276i) 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} +(4.94540 - 0.887948i) 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} +(-1.88496 - 7.71018i) 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} +(-10.5887 - 7.61749i) 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} +(4.62092 + 0.389734i) 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} +(-9.96444 - 8.52293i) 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} +(1.44120 + 15.3664i) 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 $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

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

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	−0.590851	−	0.806780i	$-0.701208\pi$
$2$	−2.12971	−	0.570655i	−1.50593	−	0.403514i	−0.915083	+	0.403267i	$0.867875\pi$
$3$	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
$7$	−1.51076	+	2.17200i	−0.571014	+	0.820940i
$7$	−1.51076	+	2.17200i	−0.571014	+	0.820940i
$8$	−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	0.703127	−	0.711064i	$-0.251787\pi$
$11$	−0.876372	−	1.51792i	−0.264236	−	0.457671i	−0.967363	+	0.253394i	$0.918453\pi$
$12$	−0.493990	+	4.93127i	−0.142603	+	1.42354i
$13$	0.812378	+	3.03183i	0.225313	+	0.840880i	0.982279	+	0.187425i	$0.0600142\pi$
$13$	0.812378	+	3.03183i	0.225313	+	0.840880i	−0.756966	+	0.653454i	$0.773319\pi$
$14$	4.45695	−	3.76362i	1.19117	−	1.00587i
$15$	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	$-0.120559\pi$
$17$	2.30636	+	2.30636i	0.559374	+	0.559374i	−0.369755	+	0.929129i	$0.620559\pi$
$18$	5.51199	−	3.65647i	1.29919	−	0.861839i
$19$	−3.57294			−0.819690			−0.409845	−	0.912155i	$-0.634417\pi$
$19$	−3.57294			−0.819690			−0.409845	+	0.912155i	$0.634417\pi$
$20$	1.75392	−	6.15301i	0.392189	−	1.37586i
$21$	−4.50523	−	0.838372i	−0.983123	−	0.182948i
$22$	1.00021	+	3.73284i	0.213246	+	0.795845i
$23$	−5.32424	+	1.42663i	−1.11018	+	0.297472i	−0.766904	−	0.641762i	$-0.778204\pi$
$23$	−5.32424	+	1.42663i	−1.11018	+	0.297472i	−0.343277	+	0.939234i	$0.611537\pi$
$24$	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
$28$	−6.85103	+	3.22079i	−1.29472	+	0.608671i
$29$	−6.02234	+	3.47700i	−1.11832	+	0.645662i	−0.940972	−	0.338486i	$-0.890085\pi$
$29$	−6.02234	+	3.47700i	−1.11832	+	0.645662i	−0.177349	+	0.984148i	$0.556752\pi$
$30$	−7.83881	+	3.38716i	−1.43116	+	0.618408i
$31$	6.71758	+	3.87840i	1.20651	+	0.696581i	0.961996	−	0.273064i	$-0.0880372\pi$
$31$	6.71758	+	3.87840i	1.20651	+	0.696581i	0.244517	+	0.969645i	$0.421370\pi$
$32$	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
$35$	5.53302	+	2.09420i	0.935251	+	0.353985i
$36$	−8.13757	+	2.73211i	−1.35626	+	0.455351i
$37$	0.170853	−	0.170853i	0.0280881	−	0.0280881i	−0.692923	−	0.721011i	$-0.743678\pi$
$37$	0.170853	−	0.170853i	0.0280881	−	0.0280881i	0.721011	+	0.692923i	$0.243678\pi$
$38$	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	$-0.369586\pi$
$41$	−1.26037	−	0.727677i	−0.196837	−	0.113644i	−0.595179	+	0.803593i	$0.702919\pi$
$42$	9.11643	+	4.35642i	1.40670	+	0.672211i
$43$	−2.05207	+	7.65841i	−0.312937	+	1.16790i	0.612958	+	0.790116i	$0.289980\pi$
$43$	−2.05207	+	7.65841i	−0.312937	+	1.16790i	−0.925895	+	0.377781i	$0.876687\pi$
$44$		−	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	0.593115	+	0.805117i	$0.297898\pi$
$47$	−2.21504	+	8.26663i	−0.323096	+	1.20581i	−0.916212	+	0.400694i	$0.868769\pi$
$48$	1.55272	−	2.15921i	0.224116	−	0.311655i
$49$	−2.43520	−	6.56276i	−0.347885	−	0.937537i
$50$	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	−0.889714	−	0.456518i	$-0.849096\pi$
$53$	−9.80072	−	9.80072i	−1.34623	−	1.34623i	−0.456518	−	0.889714i	$-0.650904\pi$
$54$	9.69867	+	6.09849i	1.31982	+	0.829899i
$55$	−2.81501	+	2.72696i	−0.379576	+	0.367703i
$56$	4.94540	−	0.887948i	0.660857	−	0.118657i
$57$	−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	$-0.967348\pi$
$59$	−3.13922	+	5.43728i	−0.408691	+	0.707874i	0.586052	+	0.810273i	$0.300681\pi$
$60$	10.9638	−	1.61298i	1.41542	−	0.208235i
$61$	1.32933	−	0.767487i	0.170203	−	0.0982666i	−0.412479	−	0.910967i	$-0.635337\pi$
$61$	1.32933	−	0.767487i	0.170203	−	0.0982666i	0.582681	+	0.812701i	$0.302004\pi$
$62$	−12.0933	−	12.0933i	−1.53585	−	1.53585i
$63$	−1.88496	−	7.71018i	−0.237482	−	0.971392i
$64$		−	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	0.998441	−	0.0558139i	$-0.0177754\pi$
$67$	0.866492	+	3.23379i	0.105859	+	0.395070i	−0.892582	+	0.450884i	$0.851109\pi$
$68$	2.41548	+	9.01471i	0.292921	+	1.09319i
$69$	−6.04434	−	7.39014i	−0.727654	−	0.889669i
$70$	−10.5887	−	7.61749i	−1.26559	−	0.910465i
$71$	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	$-0.597894\pi$
$73$	5.55668	−	5.55668i	0.650361	−	0.650361i	0.953080	+	0.302719i	$0.0978944\pi$
$74$	−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
$77$	4.62092	+	0.389734i	0.526603	+	0.0444144i
$78$	10.9265	−	4.92879i	1.23718	−	0.558075i
$79$	12.3685	−	7.14098i	1.39157	−	0.803423i	0.398081	−	0.917350i	$-0.369676\pi$
$79$	12.3685	−	7.14098i	1.39157	−	0.803423i	0.993489	+	0.113927i	$0.0363431\pi$
$80$	−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	$-0.226345\pi$
$83$	9.90736	+	2.65467i	1.08747	+	0.291388i	0.329820	+	0.944044i	$0.393012\pi$
$84$	−9.96444	−	8.52293i	−1.08721	−	0.929928i
$85$	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	$-0.361518\pi$
$89$	7.95210			0.842921			0.421461	+	0.906847i	$0.361518\pi$
$90$	−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	−0.833660	−	0.552278i	$-0.813759\pi$
$97$	1.61964	−	6.04459i	0.164450	−	0.613735i	0.998110	−	0.0614571i	$-0.0195747\pi$
$98$	1.44120	+	15.3664i	0.145583	+	1.55225i
$99$	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	$-0.824587\pi$
$101$	−8.28600	+	4.78393i	−0.824488	+	0.476018i	0.0274735	+	0.999623i	$0.491254\pi$
$102$	7.27222	−	10.1127i	0.720057	−	1.00131i
$103$	0.482767	+	1.80171i	0.0475684	+	0.177528i	0.985623	−	0.168960i	$-0.0540409\pi$
$103$	0.482767	+	1.80171i	0.0475684	+	0.177528i	−0.938054	+	0.346488i	$0.887374\pi$
$104$	2.98040	−	5.16220i	0.292252	−	0.506195i
$105$	0.634174	+	10.2273i	0.0618890	+	0.998083i
$106$	15.2799	+	26.4655i	1.48411	+	2.57056i
$107$	8.48589	−	8.48589i	0.820362	−	0.820362i	−0.165798	−	0.986160i	$-0.553020\pi$
$107$	8.48589	−	8.48589i	0.820362	−	0.820362i	0.986160	+	0.165798i	$0.0530200\pi$
$108$	−10.1092	−	10.9022i	−0.972754	−	1.04907i
$109$		−	3.69213i		−	0.353642i	−0.984243	−	0.176821i	$-0.943419\pi$
$109$		−	3.69213i		−	0.353642i	0.984243	−	0.176821i	$-0.0565813\pi$
$110$	7.55131	−	4.20124i	0.719989	−	0.400572i
$111$	0.391433	+	0.148070i	0.0371532	+	0.0140542i
$112$	4.04813	+	0.341425i	0.382513	+	0.0322616i
$113$	−4.09519	+	1.09730i	−0.385243	+	0.103225i	−0.446242	−	0.894912i	$-0.647238\pi$
$113$	−4.09519	+	1.09730i	−0.385243	+	0.103225i	0.0609993	+	0.998138i	$0.480571\pi$
$114$	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
$119$	−8.49377	+	1.52506i	−0.778623	+	0.139802i
$120$	−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
$126$	−0.385438	+	17.4961i	−0.0343376	+	1.55868i
$127$	−5.77752	+	5.77752i	−0.512672	+	0.512672i	−0.915344	−	0.402672i	$-0.868081\pi$
$127$	−5.77752	+	5.77752i	−0.512672	+	0.512672i	0.402672	+	0.915344i	$0.368081\pi$
$128$	−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	$-0.128581\pi$
$131$	11.8905	+	6.86501i	1.03888	+	0.599799i	0.119365	+	0.992850i	$0.461914\pi$
$132$	7.91820	−	3.57179i	0.689191	−	0.310885i
$133$	5.39787	−	7.76045i	0.468055	−	0.672916i
$134$		−	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	0.348747	−	0.937217i	$-0.386607\pi$
$137$	2.13216	+	0.571311i	0.182163	+	0.0488104i	−0.166584	+	0.986027i	$0.553274\pi$
$138$	8.65550	+	19.1881i	0.736805	+	1.63340i
$139$	−3.06051	+	5.30095i	−0.259589	+	0.449621i	−0.966132	−	0.258049i	$-0.916920\pi$
$139$	−3.06051	+	5.30095i	−0.259589	+	0.449621i	0.706543	+	0.707670i	$0.250254\pi$
$140$	10.7146	+	13.1053i	0.905549	+	1.10760i
$141$	−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
$147$	8.62728	−	8.51880i	0.711566	−	0.702619i
$148$	0.667803	−	0.178937i	0.0548930	−	0.0147085i
$149$	10.7410	+	6.20133i	0.879938	+	0.508032i	0.870638	−	0.491924i	$-0.163706\pi$
$149$	10.7410	+	6.20133i	0.879938	+	0.508032i	0.00929995	+	0.999957i	$0.497040\pi$
$150$	11.6131	+	15.1570i	0.948209	+	1.23756i
$151$	6.93222	+	12.0070i	0.564136	+	0.977112i	0.997129	+	0.0757150i	$0.0241239\pi$
$151$	6.93222	+	12.0070i	0.564136	+	0.977112i	−0.432994	+	0.901397i	$0.642543\pi$
$152$	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	$-0.728548\pi$
$157$	−10.6638	+	2.85737i	−0.851067	+	0.228043i	−0.193184	+	0.981163i	$0.561881\pi$
$158$	−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	0.228160	−	0.973624i	$-0.426729\pi$
$163$	−9.51744	−	9.51744i	−0.745463	−	0.745463i	−0.973624	+	0.228160i	$0.926729\pi$
$164$	−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	$-0.545200\pi$
$167$	2.98365	−	0.799467i	0.230882	−	0.0618646i	0.372405	+	0.928070i	$0.378533\pi$
$168$	4.92404	+	7.17566i	0.379898	+	0.553614i
$169$	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	$-0.756759\pi$
$173$	−22.2701	−	5.96726i	−1.69317	−	0.453682i	−0.971204	+	0.238251i	$0.923426\pi$
$174$	16.8131	+	20.5566i	1.27460	+	1.55839i
$175$	1.52999	−	13.1400i	0.115656	−	0.993289i
$176$	−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	$0.0898971\pi$
$179$			7.45699i			0.557362i	−0.960384	+	0.278681i	$0.910103\pi$
$180$	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	$0.930633\pi$
$182$	15.0314	+	10.4553i	1.11420	+	0.774996i
$183$	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
$189$	10.8308	−	8.46725i	0.787823	−	0.615902i
$190$	0.279839	−	17.6130i	0.0203016	−	1.27778i
$191$	5.63691	+	9.76342i	0.407873	+	0.706456i	0.994651	−	0.103291i	$-0.0329374\pi$
$191$	5.63691	+	9.76342i	0.407873	+	0.706456i	−0.586778	+	0.809748i	$0.699604\pi$
$192$	20.1585	−	9.09323i	1.45482	−	0.656247i
$193$	10.1409	−	2.71724i	0.729957	−	0.195591i	0.125347	−	0.992113i	$-0.459996\pi$
$193$	10.1409	−	2.71724i	0.729957	−	0.195591i	0.604610	+	0.796522i	$0.293329\pi$
$194$	−6.89875	+	11.9490i	−0.495301	+	0.857887i
$195$	9.75553	+	7.25323i	0.698608	+	0.519414i
$196$	3.35472	−	19.7463i	0.239623	−	1.41045i
$197$	−1.41022	+	1.41022i	−0.100474	+	0.100474i	−0.755557	−	0.655083i	$-0.772634\pi$
$197$	−1.41022	+	1.41022i	−0.100474	+	0.100474i	0.655083	+	0.755557i	$0.272634\pi$
$198$	−10.3808	−	5.16234i	−0.737731	−	0.366872i
$199$	−18.0015			−1.27609			−0.638046	−	0.769998i	$-0.720257\pi$
$199$	−18.0015			−1.27609			−0.638046	+	0.769998i	$0.720257\pi$
$200$	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
$203$	1.54627	−	18.3335i	0.108527	−	1.28676i
$204$	−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
$210$	4.48565	−	22.1431i	0.309539	−	1.52802i
$211$	−2.80345	+	4.85572i	−0.192997	+	0.334281i	−0.946242	−	0.323459i	$-0.895154\pi$
$211$	−2.80345	+	4.85572i	−0.192997	+	0.334281i	0.753245	+	0.657740i	$0.228488\pi$
$212$	−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
$217$	−18.5726	+	8.73127i	−1.26079	+	0.592717i
$218$	−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	$-0.818024\pi$
$223$	−27.4745	−	7.36177i	−1.83983	−	0.492980i	−0.998844	+	0.0480785i	$0.984690\pi$
$224$	−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	$-0.840851\pi$
$227$	1.84008	−	6.86726i	0.122130	−	0.455796i	0.999721	+	0.0236143i	$0.00751735\pi$
$228$	1.76500	−	17.6192i	0.116890	−	1.16686i
$229$	−4.36252	+	7.55611i	−0.288284	+	0.499322i	−0.973400	−	0.229112i	$-0.926418\pi$
$229$	−4.36252	+	7.55611i	−0.288284	+	0.499322i	0.685117	+	0.728433i	$0.259751\pi$
$230$	−6.61562	−	26.3578i	−0.436221	−	1.73798i
$231$	2.67568	+	7.57332i	0.176047	+	0.498288i
$232$	12.7562	+	3.41801i	0.837484	+	0.224403i
$233$	19.9337	+	19.9337i	1.30590	+	1.30590i	0.924348	+	0.381549i	$0.124609\pi$
$233$	19.9337	+	19.9337i	1.30590	+	1.30590i	0.381549	+	0.924348i	$0.375391\pi$
$234$	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
$238$	18.9596	+	1.59907i	1.22897	+	0.103653i
$239$	−24.1018	−	13.9152i	−1.55901	−	0.900097i	−0.997352	−	0.0727294i	$-0.976829\pi$
$239$	−24.1018	−	13.9152i	−1.55901	−	0.900097i	−0.561661	−	0.827367i	$-0.689838\pi$
$240$	−5.52811	−	2.19217i	−0.356838	−	0.141504i
$241$	19.1183	−	11.0379i	1.23152	−	0.711016i	0.264171	−	0.964476i	$-0.414902\pi$
$241$	19.1183	−	11.0379i	1.23152	−	0.711016i	0.967346	+	0.253460i	$0.0815685\pi$
$242$	−12.3600	+	12.3600i	−0.794533	+	0.794533i
$243$	13.3059	−	8.12114i	0.853574	−	0.520971i
$244$	4.39205			0.281172
$245$	−12.9077	+	8.85390i	−0.824642	+	0.565655i
$246$	−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	$0.785402\pi$
$252$	6.35978	−	21.8024i	0.400628	−	1.37342i
$253$	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	$-0.721656\pi$
$257$	−13.0385	+	3.49366i	−0.813321	+	0.217929i	−0.171897	+	0.985115i	$0.554990\pi$
$258$	30.1276	+	3.01803i	1.87566	+	0.187894i
$259$	0.112975	+	0.629212i	0.00701993	+	0.0390973i
$260$	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	−0.651579	−	0.758581i	$-0.725893\pi$
$263$	4.73537	−	17.6726i	0.291995	−	1.08974i	0.943574	−	0.331160i	$-0.107440\pi$
$264$	−5.68985	+	0.929657i	−0.350186	+	0.0572164i
$265$	−15.9207	+	26.5908i	−0.978003	+	1.63346i
$266$	−15.9244	+	13.4472i	−0.976390	+	0.824501i
$267$	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	$-0.479860\pi$
$269$	2.07408			0.126459			0.0632293	+	0.997999i	$0.479860\pi$
$270$	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
$273$	−1.11815	−	14.3402i	−0.0676733	−	0.867908i
$274$	−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	0.152236	−	0.988344i	$-0.451353\pi$
$277$	−3.49670	−	0.936937i	−0.210096	−	0.0562951i	−0.362332	+	0.932049i	$0.618019\pi$
$278$	9.54301	−	9.54301i	0.572352	−	0.572352i
$279$	−22.0602	+	7.40651i	−1.32071	+	0.443416i
$280$	−4.61781	−	10.2422i	−0.275967	−	0.612089i
$281$	−7.00835	−	12.1388i	−0.418083	−	0.724141i	0.577664	−	0.816275i	$-0.303965\pi$
$281$	−7.00835	−	12.1388i	−0.418083	−	0.724141i	−0.995747	+	0.0921338i	$0.970631\pi$
$282$	32.5203	+	3.25772i	1.93655	+	0.193994i
$283$	2.45859	+	9.17558i	0.146148	+	0.545432i	0.999702	+	0.0244267i	$0.00777603\pi$
$283$	2.45859	+	9.17558i	0.146148	+	0.545432i	−0.853554	+	0.521005i	$0.825557\pi$
$284$	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
$287$	3.48464	−	1.63819i	0.205692	−	0.0966992i
$288$	−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	$-0.0917642\pi$
$293$	−0.234655	−	0.875743i	−0.0137087	−	0.0511615i	−0.972441	+	0.233148i	$0.925097\pi$
$294$	−23.2349	+	13.2194i	−1.35509	+	0.770971i
$295$	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
$301$	−13.5339	−	16.0271i	−0.780082	−	0.923788i
$302$	−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	0.960275	+	0.279057i	$0.0900218\pi$
$307$	21.7148	+	21.7148i	1.23933	+	1.23933i	0.279057	+	0.960275i	$0.409978\pi$
$308$	10.8930	+	7.57672i	0.620684	+	0.431724i
$309$	−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	$-0.219038\pi$
$311$	10.7337	+	6.19709i	0.608650	+	0.351405i	−0.163787	+	0.986496i	$0.552371\pi$
$312$	10.2730	+	1.02909i	0.581593	+	0.0582610i
$313$	9.10889	+	2.44072i	0.514865	+	0.137958i	0.506890	−	0.862011i	$-0.330795\pi$
$313$	9.10889	+	2.44072i	0.514865	+	0.137958i	0.00797448	+	0.999968i	$0.497462\pi$
$314$	24.3415			1.37367
$315$	−15.6957	+	8.28514i	−0.884355	+	0.466815i
$316$	40.8653			2.29885
$317$	−5.85056	−	1.56765i	−0.328600	−	0.0880482i	0.0907473	−	0.995874i	$-0.471074\pi$
$317$	−5.85056	−	1.56765i	−0.328600	−	0.0880482i	−0.419348	+	0.907826i	$0.637741\pi$
$318$	−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
$322$	−18.3606	+	26.3968i	−1.02320	+	1.47104i
$323$	−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
$329$	−14.6088	−	17.3000i	−0.805407	−	0.953779i
$330$	12.0112	+	8.93029i	0.661193	+	0.491596i
$331$	−1.25161	−	2.16786i	−0.0687950	−	0.119156i	0.829576	−	0.558394i	$-0.188582\pi$
$331$	−1.25161	−	2.16786i	−0.0687950	−	0.119156i	−0.898371	+	0.439237i	$0.855249\pi$
$332$	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
$336$	2.34402	+	6.63457i	0.127877	+	0.361945i
$337$	8.09436	+	30.2086i	0.440928	+	1.64557i	0.726469	+	0.687199i	$0.241160\pi$
$337$	8.09436	+	30.2086i	0.440928	+	1.64557i	−0.285542	+	0.958366i	$0.592173\pi$
$338$	−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
$343$	17.9333	+	4.62551i	0.968309	+	0.249754i
$344$	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	0.952010	−	0.306066i	$-0.0990129\pi$
$347$	−0.474786	−	1.77193i	−0.0254879	−	0.0951220i	−0.977498	+	0.210944i	$0.932346\pi$
$348$	−14.1711	−	31.4154i	−0.759648	−	1.68404i
$349$	7.34498	+	12.7219i	0.393168	+	0.680987i	0.992865	−	0.119240i	$-0.0380458\pi$
$349$	7.34498	+	12.7219i	0.393168	+	0.680987i	−0.599698	+	0.800227i	$0.704712\pi$
$350$	−10.7568	+	27.1113i	−0.574977	+	1.44916i
$351$	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	$-0.307430\pi$
$353$	12.2129	+	3.27245i	0.650029	+	0.174175i	0.0812870	+	0.996691i	$0.474097\pi$
$354$	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
$357$	−8.45709	−	12.3243i	−0.447597	−	0.652269i
$358$	4.25537	−	15.8812i	0.224903	−	0.839350i
$359$			25.7474i			1.35890i	0.733723	+	0.679449i	$0.237781\pi$
$359$			25.7474i			1.35890i	−0.733723	+	0.679449i	$0.762219\pi$
$360$	−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
$364$	−15.3305	−	18.1547i	−0.803537	−	0.951565i
$365$	−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	0.312128	+	0.950040i	$0.398958\pi$
$367$	−8.29897	+	30.9722i	−0.433203	+	1.61674i	−0.745331	+	0.666695i	$0.767708\pi$
$368$	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
$371$	36.0938	−	6.48064i	1.87389	−	0.336458i
$372$	−22.4439	+	31.2103i	−1.16366	+	1.61818i
$373$	−31.3144	+	8.39068i	−1.62140	+	0.434453i	−0.951412	−	0.307920i	$-0.900367\pi$
$373$	−31.3144	+	8.39068i	−1.62140	+	0.434453i	−0.669987	+	0.742372i	$0.733701\pi$
$374$	−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
$378$	−27.8983	+	11.8522i	−1.43493	+	0.609610i
$379$			16.1461i			0.829367i	0.909966	+	0.414684i	$0.136108\pi$
$379$			16.1461i			0.829367i	−0.909966	+	0.414684i	$0.863892\pi$
$380$	−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	$-0.0732194\pi$
$383$	0.321827	+	1.20107i	0.0164446	+	0.0613720i	−0.957216	+	0.289374i	$0.906553\pi$
$384$	−23.5617	+	3.84971i	−1.20238	+	0.196455i
$385$	−1.67015	−	10.2340i	−0.0851188	−	0.521573i
$386$	−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	−0.173654	−	0.984807i	$-0.555557\pi$
$389$	11.6837	−	6.74559i	0.592387	−	0.342015i	0.766041	+	0.642792i	$0.222224\pi$
$390$	−16.6374	−	21.0143i	−0.842467	−	1.06410i
$391$	−15.5699	−	8.98929i	−0.787404	−	0.454608i
$392$	−5.54270	+	12.0829i	−0.279948	+	0.610279i
$393$	−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	$-0.340582\pi$
$397$	−7.91088	−	7.91088i	−0.397035	−	0.397035i	−0.877186	+	0.480151i	$0.840582\pi$
$398$	38.3380	+	10.2726i	1.92171	+	0.514921i
$399$	16.0969	+	2.99546i	0.805855	+	0.149960i
$400$	6.52353	+	4.04799i	0.326177	+	0.202400i
$401$	−0.691907	+	1.19842i	−0.0345522	+	0.0598461i	−0.882784	−	0.469778i	$-0.844334\pi$
$401$	−0.691907	+	1.19842i	−0.0345522	+	0.0598461i	0.848232	+	0.529625i	$0.177667\pi$
$402$	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	−0.482574	−	0.875855i	$-0.660298\pi$
$409$	10.4603	−	18.1177i	0.517226	−	0.895862i	0.999800	−	0.0200066i	$-0.00636874\pi$
$410$	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
$413$	−7.06718	−	15.0328i	−0.347753	−	0.739717i
$414$	−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	$-0.710283\pi$
$419$	7.71733	−	13.3668i	0.377016	−	0.653011i	0.990627	+	0.136598i	$0.0436167\pi$
$420$	−13.0603	+	26.2503i	−0.637279	+	1.28088i
$421$	−20.0884	−	34.7941i	−0.979047	−	1.69576i	−0.665875	−	0.746063i	$-0.731942\pi$
$421$	−20.0884	−	34.7941i	−0.979047	−	1.69576i	−0.313172	−	0.949696i	$-0.601392\pi$
$422$	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
$427$	−0.341311	+	4.04679i	−0.0165172	+	0.195838i
$428$	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	$-0.531553\pi$
$433$	18.6472	−	18.6472i	0.896125	−	0.896125i	0.995091	+	0.0989656i	$0.0315534\pi$
$434$	44.5367	−	7.99658i	2.13783	−	0.383848i
$435$	−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	$-0.164812\pi$
$439$	0.122085	+	0.211458i	0.00582682	+	0.0100923i	−0.863097	+	0.505038i	$0.831479\pi$
$440$	7.44203	+	0.118240i	0.354785	+	0.00563688i
$441$	19.5943	+	7.55412i	0.933060	+	0.359720i
$442$	15.9612	−	15.9612i	0.759197	−	0.759197i
$443$	8.60028	−	32.0967i	0.408611	−	1.52496i	−0.388685	−	0.921371i	$-0.627071\pi$
$443$	8.60028	−	32.0967i	0.408611	−	1.52496i	0.797296	−	0.603588i	$-0.206263\pi$
$444$	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
$448$	27.7318	+	19.2892i	1.31020	+	0.911327i
$449$			17.6583i			0.833345i	0.909057	+	0.416673i	$0.136804\pi$
$449$			17.6583i			0.833345i	−0.909057	+	0.416673i	$0.863196\pi$
$450$	−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
$455$	−1.85437	+	18.4765i	−0.0869344	+	0.866191i
$456$	−4.15814	+	10.9923i	−0.194723	+	0.514761i
$457$	18.1851	+	4.87269i	0.850664	+	0.227935i	0.657708	−	0.753273i	$-0.271526\pi$
$457$	18.1851	+	4.87269i	0.850664	+	0.227935i	0.192956	+	0.981208i	$0.438193\pi$
$458$	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	$-0.614565\pi$
$461$	6.06003	−	3.49876i	0.282244	−	0.162953i	0.634439	+	0.772973i	$0.281231\pi$
$462$	−1.37668	−	17.6559i	−0.0640489	−	0.821426i
$463$	24.0499	−	6.44415i	1.11769	−	0.299485i	0.347743	−	0.937590i	$-0.386948\pi$
$463$	24.0499	−	6.44415i	1.11769	−	0.299485i	0.769949	+	0.638105i	$0.220281\pi$
$464$	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	$-0.188609\pi$
$467$	5.85773	+	5.85773i	0.271063	+	0.271063i	−0.558465	+	0.829528i	$0.688609\pi$
$468$	−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	0.992616	+	0.121298i	$0.0387057\pi$
$479$	13.1613	+	22.7960i	0.601355	+	1.04158i	−0.391261	+	0.920280i	$0.627961\pi$
$480$	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
$483$	25.1830	−	1.96359i	1.14587	−	0.0893464i
$484$	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	−0.0282893	+	0.999600i	$0.509006\pi$
$487$	−22.6835	+	22.6835i	−1.02789	+	1.02789i	−0.999600	+	0.0282893i	$0.990994\pi$
$488$	−2.81570	−	0.754465i	−0.127461	−	0.0341530i
$489$	8.24832	−	21.8049i	0.373002	−	0.986053i
$490$	32.5422	−	11.4904i	1.47011	−	0.519084i
$491$	2.51643	−	4.35858i	0.113565	−	0.196700i	−0.803640	−	0.595115i	$-0.797106\pi$
$491$	2.51643	−	4.35858i	0.113565	−	0.196700i	0.917205	+	0.398415i	$0.130440\pi$
$492$	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
$497$	−12.1762	+	17.5056i	−0.546177	+	0.785232i
$498$	3.90430	−	38.9748i	0.174956	−	1.74650i
$499$	−32.7497	−	18.9081i	−1.46608	−	0.846441i	−0.466798	−	0.884364i	$-0.654593\pi$
$499$	−32.7497	−	18.9081i	−1.46608	−	0.846441i	−0.999281	+	0.0379228i	$0.987926\pi$
$500$	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	−0.525331	+	0.850898i	$0.676059\pi$
$503$	−30.8656	+	30.8656i	−1.37623	+	1.37623i	−0.850898	+	0.525331i	$0.823941\pi$
$504$	−7.82240	+	12.8848i	−0.348438	+	0.573936i
$505$	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	$-0.961090\pi$
$509$	−8.81390	+	15.2661i	−0.390669	+	0.676659i	0.601869	+	0.798595i	$0.294423\pi$
$510$	−25.8911	−	10.2671i	−1.14648	−	0.454635i
$511$	3.67431	+	20.4640i	0.162542	+	0.905273i
$512$	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
$518$	0.118458	−	1.40451i	0.00520475	−	0.0617106i
$519$	−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	$-0.863525\pi$
$523$	−11.2917	+	11.2917i	−0.493754	+	0.493754i	0.415733	+	0.909487i	$0.363525\pi$
$524$	19.6430	+	34.0227i	0.858108	+	1.48629i
$525$	21.8357	−	6.94265i	0.952990	−	0.303002i
$526$	−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
$532$	24.4784	−	11.5077i	1.06127	−	0.498922i
$533$	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
$546$	−5.80197	+	31.1786i	−0.248301	+	1.33432i
$547$	34.1328	+	9.14586i	1.45941	+	0.391049i	0.899287	−	0.437359i	$-0.144086\pi$
$547$	34.1328	+	9.14586i	1.45941	+	0.391049i	0.560126	+	0.828407i	$0.310753\pi$
$548$	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
$553$	−3.17569	+	37.6528i	−0.135044	+	1.60116i
$554$	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	−0.637038	−	0.770832i	$-0.719841\pi$
$557$	3.15765	−	3.15765i	0.133794	−	0.133794i	0.770832	+	0.637038i	$0.219841\pi$
$558$	51.2085	−	3.18496i	2.16783	−	0.134830i
$559$	−24.8861			−1.05257
$560$	−1.46313	−	8.96544i	−0.0618284	−	0.378859i
$561$	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	0.999939	+	0.0110094i	$0.00350447\pi$
$563$	3.30932	+	12.3505i	0.139471	+	0.520514i	−0.860468	+	0.509504i	$0.829829\pi$
$564$	−39.6708	−	15.0066i	−1.67044	−	0.631891i
$565$	4.60905	+	8.28431i	0.193904	+	0.348523i
$566$		−	20.9444i		−	0.880357i
$567$	21.0822	+	11.0698i	0.885369	+	0.464889i
$568$	−10.8229	−	10.8229i	−0.454118	−	0.454118i
$569$	−23.6366	+	13.6466i	−0.990898	+	0.572095i	−0.905543	−	0.424255i	$-0.860536\pi$
$569$	−23.6366	+	13.6466i	−0.990898	+	0.572095i	−0.0853557	+	0.996351i	$0.527203\pi$
$570$	28.0076	−	12.1021i	1.17311	−	0.506903i
$571$	6.55125	−	11.3471i	0.274161	−	0.474861i	−0.695762	−	0.718273i	$-0.744933\pi$
$571$	6.55125	−	11.3471i	0.274161	−	0.474861i	0.969923	+	0.243411i	$0.0782665\pi$
$572$	15.2052	−	4.07421i	0.635759	−	0.170351i
$573$	−11.4004	+	15.8533i	−0.476258	+	0.662283i
$574$	−8.35612	+	1.50034i	−0.348778	+	0.0626231i
$575$	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	$-0.170883\pi$
$577$	8.35680	+	8.35680i	0.347898	+	0.347898i	−0.511428	+	0.859326i	$0.670883\pi$
$578$	−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
$581$	−20.7336	+	17.5083i	−0.860176	+	0.726365i
$582$	−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	−0.721108	−	0.692823i	$-0.756367\pi$
$587$	6.05220	−	22.5871i	0.249801	−	0.932270i	0.970909	−	0.239448i	$-0.0769664\pi$
$588$	33.5657	−	8.76668i	1.38423	−	0.361532i
$589$	−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	$-0.816295\pi$
$593$	−7.12078	+	7.12078i	−0.292415	+	0.292415i	0.545618	+	0.838034i	$0.316295\pi$
$594$	0.757383	−	20.0664i	0.0310758	−	0.823333i
$595$	7.93114	+	17.5911i	0.325145	+	0.721165i
$596$	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	0.801966	−	0.597369i	$-0.203787\pi$
$599$	16.7800	+	9.68794i	0.685613	+	0.395839i	−0.116354	+	0.993208i	$0.537121\pi$
$600$	2.13502	+	16.3073i	0.0871620	+	0.665743i
$601$	−17.0506	+	9.84418i	−0.695509	+	0.401552i	−0.805673	−	0.592361i	$-0.798196\pi$
$601$	−17.0506	+	9.84418i	−0.695509	+	0.401552i	0.110163	+	0.993913i	$0.464863\pi$
$602$	19.6774	+	41.8564i	0.801990	+	1.70594i
$603$	−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	$-0.541674\pi$
$607$	6.21134	−	1.66432i	0.252110	−	0.0675528i	0.382661	+	0.923889i	$0.375008\pi$
$608$	−6.64305	−	24.7922i	−0.269411	−	1.00546i
$609$	30.0471	−	10.6157i	1.21757	−	0.430171i
$610$	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	0.524399	−	0.851473i	$-0.324290\pi$
$613$	−8.09798	−	8.09798i	−0.327074	−	0.327074i	−0.851473	+	0.524399i	$0.824290\pi$
$614$	−33.8547	−	58.6380i	−1.36626	−	2.36644i
$615$	−5.57653	+	0.820412i	−0.224867	+	0.0330822i
$616$	−5.68185	−	6.72856i	−0.228928	−	0.271101i
$617$	3.91740	+	14.6199i	0.157708	+	0.588576i	0.998858	+	0.0477737i	$0.0152126\pi$
$617$	3.91740	+	14.6199i	0.157708	+	0.588576i	−0.841150	+	0.540802i	$0.818121\pi$
$618$	6.49321	−	2.92900i	0.261195	−	0.117822i
$619$	−7.21757	−	12.5012i	−0.290098	−	0.502465i	0.683734	−	0.729731i	$-0.260355\pi$
$619$	−7.21757	−	12.5012i	−0.290098	−	0.502465i	−0.973833	+	0.227266i	$0.927021\pi$
$620$	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
$623$	−12.0137	+	17.2720i	−0.481320	+	0.691988i
$624$	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
$630$	38.1554	−	8.68811i	1.52015	−	0.346143i
$631$	−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
$637$	17.9189	−	12.7146i	0.709973	−	0.503769i
$638$	−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	0.998008	−	0.0630849i	$-0.0200939\pi$
$641$	11.2506	+	19.4866i	0.444371	+	0.769673i	−0.553637	+	0.832758i	$0.686761\pi$
$642$	−37.2082	−	26.7570i	−1.46849	−	1.05602i
$643$	−2.36759	−	8.83595i	−0.0933685	−	0.348456i	0.903399	−	0.428802i	$-0.141064\pi$
$643$	−2.36759	−	8.83595i	−0.0933685	−	0.348456i	−0.996767	+	0.0803459i	$0.974398\pi$
$644$	31.8817	−	26.9221i	1.25631	−	1.06088i
$645$	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	$-0.153134\pi$
$647$	10.7787	+	10.7787i	0.423754	+	0.423754i	−0.462740	+	0.886494i	$0.653134\pi$
$648$	−10.4949	+	13.4901i	−0.412280	+	0.529940i
$649$	11.0045			0.431964
$650$	16.3406	+	30.5012i	0.640930	+	1.19636i
$651$	−27.0127	−	23.1049i	−1.05871	−	0.905553i
$652$	−9.96777	−	37.2002i	−0.390368	−	1.45687i
$653$	−8.73699	+	2.34107i	−0.341905	+	0.0916131i	−0.425686	−	0.904871i	$-0.639967\pi$
$653$	−8.73699	+	2.34107i	−0.341905	+	0.0916131i	0.0837810	+	0.996484i	$0.473300\pi$
$654$	−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
$658$	21.2401	+	45.1805i	0.828027	+	1.76132i
$659$	−18.4598	+	10.6578i	−0.719092	+	0.415168i	−0.814418	−	0.580278i	$-0.802944\pi$
$659$	−18.4598	+	10.6578i	−0.719092	+	0.415168i	0.0953264	+	0.995446i	$0.469611\pi$
$660$	−12.0568	−	15.2287i	−0.469310	−	0.592775i
$661$	33.4746	+	19.3266i	1.30201	+	0.751717i	0.980749	−	0.195273i	$-0.0625593\pi$
$661$	33.4746	+	19.3266i	1.30201	+	0.751717i	0.321263	+	0.946990i	$0.395893\pi$
$662$	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
$665$	−19.7692	−	7.48247i	−0.766616	−	0.290158i
$666$	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
$672$	−2.55907	−	32.8200i	−0.0987182	−	1.26606i
$673$	−9.19874	+	34.3302i	−0.354585	+	1.32333i	0.526420	+	0.850224i	$0.323534\pi$
$673$	−9.19874	+	34.3302i	−0.354585	+	1.32333i	−0.881006	+	0.473106i	$0.843133\pi$
$674$		−	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	−0.830598	−	0.556872i	$-0.812001\pi$
$677$	4.34930	−	16.2318i	0.167157	−	0.623839i	0.997755	−	0.0669665i	$-0.0213321\pi$
$678$	6.65745	+	14.7587i	0.255678	+	0.566805i
$679$	10.6820	+	12.6498i	0.409937	+	0.485455i
$680$	−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	0.365252	−	0.930909i	$-0.380983\pi$
$683$	−14.7830	−	14.7830i	−0.565656	−	0.565656i	−0.930909	+	0.365252i	$0.880983\pi$
$684$	29.0751	−	9.76167i	1.11171	−	0.373247i
$685$	0.0784117	−	4.93522i	0.00299596	−	0.188565i
$686$	−35.5533	−	20.0848i	−1.35743	−	0.766840i
$687$	−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	$-0.794168\pi$
$691$	−17.7537	+	10.2501i	−0.675383	+	0.389933i	0.122730	+	0.992440i	$0.460835\pi$
$692$	−46.6477	−	46.6477i	−1.77328	−	1.77328i
$693$	−10.0515	+	9.61821i	−0.381826	+	0.365366i
$694$			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
$700$	22.5901	−	30.3717i	0.853827	−	1.14794i
$701$	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
$707$	2.12748	−	25.2246i	0.0800119	−	0.948669i
$708$	−25.2620	−	18.1663i	−0.949403	−	0.682731i
$709$	36.6042	−	21.1334i	1.37470	−	0.793682i	0.383183	−	0.923672i	$-0.374828\pi$
$709$	36.6042	−	21.1334i	1.37470	−	0.793682i	0.991515	+	0.129990i	$0.0414945\pi$
$710$	−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
$714$	10.9783	+	31.0732i	0.410852	+	1.16289i
$715$	−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	$-0.537619\pi$
$719$	−6.32327			−0.235818			−0.117909	+	0.993024i	$0.537619\pi$
$720$	−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	−0.745873	−	0.666088i	$-0.767968\pi$
$727$	6.28549	−	23.4578i	0.233116	−	0.870000i	0.978989	−	0.203912i	$-0.0653657\pi$
$728$	6.70964	+	14.2723i	0.248676	+	0.528966i
$729$	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	0.993758	+	0.111557i	$0.0355837\pi$
$733$	5.11473	+	19.0884i	0.188917	+	0.705047i	−0.804841	+	0.593490i	$0.797750\pi$
$734$	35.3489	−	61.2260i	1.30475	−	2.25989i
$735$	−23.1718	−	14.0736i	−0.854706	−	0.519113i
$736$	−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	$-0.925211\pi$
$739$		−	12.6572i		−	0.465601i	0.972525	−	0.232800i	$-0.0747889\pi$
$740$	−0.751598	−	1.35092i	−0.0276293	−	0.0496609i
$741$	15.0358	−	12.2977i	0.552355	−	0.451767i
$742$	−80.5675	−	6.79517i	−2.95773	−	0.249458i
$743$	19.8976	−	5.33154i	0.729971	−	0.195595i	0.125355	−	0.992112i	$-0.459993\pi$
$743$	19.8976	−	5.33154i	0.729971	−	0.195595i	0.604616	+	0.796517i	$0.293326\pi$
$744$	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
$749$	5.61122	+	31.2515i	0.205029	+	1.14191i
$750$	26.5508	−	33.4373i	0.969498	−	1.22096i
$751$	7.87465	−	13.6393i	0.287350	−	0.497705i	−0.685826	−	0.727765i	$-0.740559\pi$
$751$	7.87465	−	13.6393i	0.287350	−	0.497705i	0.973176	+	0.230060i	$0.0738923\pi$
$752$	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
$756$	38.9522	−	5.48648i	1.41668	−	0.199541i
$757$	−9.54364	+	9.54364i	−0.346869	+	0.346869i	−0.858942	−	0.512073i	$-0.828878\pi$
$757$	−9.54364	+	9.54364i	−0.346869	+	0.346869i	0.512073	+	0.858942i	$0.328878\pi$
$758$	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	$-0.502352\pi$
$761$	−24.1954	−	13.9692i	−0.877084	−	0.506385i	−0.869696	+	0.493588i	$0.835685\pi$
$762$	25.3328	+	18.2172i	0.917710	+	0.659940i
$763$	8.01931	+	5.57792i	0.290319	+	0.201934i
$764$			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	−0.383525	−	0.923530i	$-0.625290\pi$
$769$	16.8614	−	29.2048i	0.608038	−	1.05315i	0.991563	−	0.129623i	$-0.0413766\pi$
$770$	−2.28313	+	22.7485i	−0.0822784	+	0.819800i
$771$	−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	$-0.640923\pi$
$773$	13.2116	−	13.2116i	0.475188	−	0.475188i	0.903589	+	0.428401i	$0.140923\pi$
$774$	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
$777$	−0.912971	+	0.626495i	−0.0327527	+	0.0224754i
$778$	−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	$-0.674662\pi$
$787$	−15.3371	+	4.10957i	−0.546709	+	0.146490i	−0.0251160	+	0.999685i	$0.507995\pi$
$788$	−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	$-0.887355\pi$
$797$	−44.5240	+	11.9302i	−1.57712	+	0.422588i	−0.639088	+	0.769134i	$0.720688\pi$
$798$	−32.5725	−	15.5653i	−1.15305	−	0.551004i
$799$	−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
$805$	−32.4468	−	3.25649i	−1.14360	−	0.114776i
$806$	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	$-0.977022\pi$
$809$		−	4.10297i		−	0.144253i	0.997396	−	0.0721263i	$-0.0229785\pi$
$810$	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	$0.901537\pi$
$812$	30.0606	−	43.2177i	1.05492	−	1.51664i
$813$	−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
$819$	21.8447	−	11.9785i	0.763316	−	0.418561i
$820$	−6.68800	+	6.47880i	−0.233555	+	0.226250i
$821$	17.8147	+	30.8560i	0.621738	+	1.07688i	0.989162	+	0.146829i	$0.0469067\pi$
$821$	17.8147	+	30.8560i	0.621738	+	1.07688i	−0.367423	+	0.930054i	$0.619760\pi$
$822$	0.840243	−	8.38776i	0.0293068	−	0.292557i
$823$	7.46093	−	1.99915i	0.260072	−	0.0696860i	−0.126427	−	0.991976i	$-0.540351\pi$
$823$	7.46093	−	1.99915i	0.260072	−	0.0696860i	0.386499	+	0.922290i	$0.373684\pi$
$824$	1.77114	−	3.06771i	0.0617007	−	0.106869i
$825$	−1.99206	+	15.0479i	−0.0693545	+	0.523902i
$826$	6.47252	+	36.0485i	0.225208	+	1.25429i
$827$	10.2064	−	10.2064i	0.354911	−	0.354911i	−0.507022	−	0.861933i	$-0.669254\pi$
$827$	10.2064	−	10.2064i	0.354911	−	0.354911i	0.861933	+	0.507022i	$0.169254\pi$
$828$	39.4287	−	26.1557i	1.37024	−	0.908972i
$829$	44.7171			1.55309			0.776544	−	0.630063i	$-0.216971\pi$
$829$	44.7171			1.55309			0.776544	+	0.630063i	$0.216971\pi$
$830$	−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
$833$	9.51963	−	20.7525i	0.329836	−	0.719031i
$834$	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	0.998651	+	0.0519250i	$0.0165357\pi$
$839$	15.7657	+	27.3071i	0.544294	+	0.942745i	−0.454357	+	0.890820i	$0.650131\pi$
$840$	12.8821	−	14.5853i	0.444476	−	0.503242i
$841$	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
$847$	8.92386	+	18.9822i	0.306627	+	0.652237i
$848$	−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	$-0.385510\pi$
$853$	5.51391	+	1.47745i	0.188793	+	0.0505869i	−0.163184	+	0.986596i	$0.552176\pi$
$854$	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	$-0.970482\pi$
$857$	−2.54975	+	9.51581i	−0.0870979	+	0.325054i	0.908605	+	0.417656i	$0.137148\pi$
$858$	−17.0572	−	12.2661i	−0.582322	−	0.418757i
$859$	26.2192	−	45.4130i	0.894588	−	1.54947i	0.0602743	−	0.998182i	$-0.480802\pi$
$859$	26.2192	−	45.4130i	0.894588	−	1.54947i	0.834314	−	0.551290i	$-0.185864\pi$
$860$	43.5231	+	26.0586i	1.48413	+	0.888592i
$861$	5.06821	+	4.33501i	0.172724	+	0.147737i
$862$	−33.1349	−	8.87846i	−1.12858	−	0.302402i
$863$	−6.28470	−	6.28470i	−0.213934	−	0.213934i	0.592002	−	0.805936i	$-0.298338\pi$
$863$	−6.28470	−	6.28470i	−0.213934	−	0.213934i	−0.805936	+	0.592002i	$0.798338\pi$
$864$	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
$868$	−58.5139	−	4.93513i	−1.98609	−	0.167509i
$869$	−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
$875$	−29.3308	+	3.83453i	−0.991562	+	0.129631i
$876$	24.6566	+	30.1465i	0.833069	+	1.01855i
$877$	1.59034	+	5.93525i	0.0537021	+	0.200419i	0.987565	−	0.157213i	$-0.0502509\pi$
$877$	1.59034	+	5.93525i	0.0537021	+	0.200419i	−0.933863	+	0.357632i	$0.883584\pi$
$878$	−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	$0.765832\pi$
$882$	−37.4194	−	27.2697i	−1.25998	−	0.918217i
$883$	−24.0661	−	24.0661i	−0.809889	−	0.809889i	0.174728	−	0.984617i	$-0.444095\pi$
$883$	−24.0661	−	24.0661i	−0.809889	−	0.809889i	−0.984617	+	0.174728i	$0.944095\pi$
$884$	−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	$-0.685542\pi$
$887$	−18.1586	+	4.86559i	−0.609707	+	0.163371i	−0.0592630	+	0.998242i	$0.518875\pi$
$888$	−0.326799	−	0.724472i	−0.0109667	−	0.0243117i
$889$	−3.82033	−	21.2772i	−0.128130	−	0.713616i
$890$	−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
$896$	−23.5286	−	27.8630i	−0.786034	−	0.930837i
$897$	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
$903$	15.6656	−	32.7825i	0.521320	−	1.09093i
$904$	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	−0.444518	−	0.895770i	$-0.646625\pi$
$907$	−38.4697	−	10.3079i	−1.27737	−	0.342269i	−0.832849	+	0.553501i	$0.813292\pi$
$908$	14.3844	−	14.3844i	0.477362	−	0.477362i
$909$	5.69362	−	28.1332i	0.188845	−	0.933119i
$910$	14.4930	−	38.2914i	0.480437	−	1.26935i
$911$	−10.7958	−	18.6988i	−0.357679	−	0.619519i	0.629893	−	0.776682i	$-0.283099\pi$
$911$	−10.7958	−	18.6988i	−0.357679	−	0.619519i	−0.987573	+	0.157163i	$0.949765\pi$
$912$	−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
$917$	−32.8746	+	15.4549i	−1.08562	+	0.510366i
$918$	8.30329	+	36.4339i	0.274050	+	1.20250i
$919$		−	4.60295i		−	0.151837i	−0.997114	−	0.0759187i	$-0.975811\pi$
$919$		−	4.60295i		−	0.151837i	0.997114	−	0.0759187i	$-0.0241889\pi$
$920$	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
$924$	−4.20457	+	22.5945i	−0.138320	+	0.743304i
$925$	−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	0.832940	+	0.553363i	$0.186656\pi$
$929$	27.3004	+	47.2857i	0.895697	+	1.55139i	0.0627567	+	0.998029i	$0.480011\pi$
$930$	−65.7946	−	7.64850i	−2.15749	−	0.250804i
$931$	8.70082	+	23.4484i	0.285158	+	0.768489i
$932$	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	$-0.158314\pi$
$937$	12.2975	+	12.2975i	0.401741	+	0.401741i	−0.477105	+	0.878846i	$0.658314\pi$
$938$	16.0327	+	11.1517i	0.523485	+	0.364116i
$939$	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	$-0.509856\pi$
$941$	−27.9778	−	16.1530i	−0.912050	−	0.526572i	−0.881090	+	0.472948i	$0.843190\pi$
$942$	17.3360	+	38.4316i	0.564836	+	1.25217i
$943$	7.74865	+	2.07624i	0.252331	+	0.0676118i
$944$	9.64043			0.313769
$945$	−24.2595	−	18.8806i	−0.789161	−	0.614186i
$946$	−30.6401			−0.996197
$947$	−11.7363	−	3.14474i	−0.381379	−	0.102190i	0.0630360	−	0.998011i	$-0.479922\pi$
$947$	−11.7363	−	3.14474i	−0.381379	−	0.102190i	−0.444415	+	0.895821i	$0.646588\pi$
$948$	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
$952$	13.4538	+	9.35793i	0.436039	+	0.303292i
$953$	13.9500	+	13.9500i	0.451884	+	0.451884i	0.895979	−	0.444095i	$-0.146475\pi$
$953$	13.9500	+	13.9500i	0.451884	+	0.451884i	−0.444095	+	0.895979i	$0.646475\pi$
$954$	−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
$959$	−4.46208	+	3.76795i	−0.144088	+	0.121673i
$960$	−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
$966$	−54.7530	−	10.1889i	−1.76165	−	0.327823i
$967$	−1.70728	−	6.37166i	−0.0549025	−	0.204899i	0.933026	−	0.359809i	$-0.117158\pi$
$967$	−1.70728	−	6.37166i	−0.0549025	−	0.204899i	−0.987929	+	0.154910i	$0.950491\pi$
$968$	−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
$973$	−6.88999	−	14.6559i	−0.220883	−	0.469847i
$974$	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	0.999688	−	0.0249858i	$-0.00795406\pi$
$977$	3.79585	+	14.1663i	0.121440	+	0.453220i	−0.878248	+	0.478206i	$0.841287\pi$
$978$	−30.0096	+	41.7313i	−0.959602	+	1.33442i
$979$	−6.96900	−	12.0707i	−0.222730	−	0.385780i
$980$	−44.6519	+	3.47323i	−1.42635	+	0.110948i
$981$	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	$-0.315262\pi$
$983$	18.9708	+	5.08321i	0.605075	+	0.162129i	0.0567410	+	0.998389i	$0.481929\pi$
$984$	−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
$987$	16.9098	−	35.3861i	0.538244	−	1.12635i
$988$	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
$994$	35.9214	−	30.3334i	1.13936	−	0.962118i
$995$	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	−0.577473	−	0.816410i	$-0.695961\pi$
$997$	10.4463	−	38.9862i	0.330838	−	1.23470i	0.908311	−	0.418295i	$-0.137372\pi$
$998$	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.13.6	yes	176
3.2	odd	2		945.2.ce.a.118.40		176
5.2	odd	4	inner	315.2.cb.a.202.40	yes	176
7.6	odd	2	inner	315.2.cb.a.13.5	✓	176
9.2	odd	6		945.2.ce.a.748.5		176
9.7	even	3	inner	315.2.cb.a.223.39	yes	176
15.2	even	4		945.2.ce.a.307.6		176
21.20	even	2		945.2.ce.a.118.39		176
35.27	even	4	inner	315.2.cb.a.202.39	yes	176
45.2	even	12		945.2.ce.a.937.39		176
45.7	odd	12	inner	315.2.cb.a.97.5	yes	176
63.20	even	6		945.2.ce.a.748.6		176
63.34	odd	6	inner	315.2.cb.a.223.40	yes	176
105.62	odd	4		945.2.ce.a.307.5		176
315.97	even	12	inner	315.2.cb.a.97.6	yes	176
315.272	odd	12		945.2.ce.a.937.40		176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.cb.a.13.5	✓	176	7.6	odd	2	inner
315.2.cb.a.13.6	yes	176	1.1	even	1	trivial
315.2.cb.a.97.5	yes	176	45.7	odd	12	inner
315.2.cb.a.97.6	yes	176	315.97	even	12	inner
315.2.cb.a.202.39	yes	176	35.27	even	4	inner
315.2.cb.a.202.40	yes	176	5.2	odd	4	inner
315.2.cb.a.223.39	yes	176	9.7	even	3	inner
315.2.cb.a.223.40	yes	176	63.34	odd	6	inner
945.2.ce.a.118.39		176	21.20	even	2
945.2.ce.a.118.40		176	3.2	odd	2
945.2.ce.a.307.5		176	105.62	odd	4
945.2.ce.a.307.6		176	15.2	even	4
945.2.ce.a.748.5		176	9.2	odd	6
945.2.ce.a.748.6		176	63.20	even	6
945.2.ce.a.937.39		176	45.2	even	12
945.2.ce.a.937.40		176	315.272	odd	12

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)

\(f(q)\)	\(=\)	\(q+(-2.12971 - 0.570655i) q^{2} +(0.712199 + 1.57885i) q^{3} +(2.47798 + 1.43066i) q^{4} +(-0.544352 - 2.16880i) q^{5} +(-0.615799 - 3.76892i) q^{6} +(-1.51076 + 2.17200i) q^{7} +(-1.34285 - 1.34285i) q^{8} +(-1.98555 + 2.24891i) q^{9} +O(q^{10})\)	\(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} +(-1.51076 + 2.17200i) 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} +(4.45695 - 3.76362i) 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} +(-4.50523 - 0.838372i) 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} +(-6.85103 + 3.22079i) 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} +(5.53302 + 2.09420i) 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} +(9.11643 + 4.35642i) 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} +(-2.43520 - 6.56276i) 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} +(4.94540 - 0.887948i) 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} +(-1.88496 - 7.71018i) 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} +(-10.5887 - 7.61749i) 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} +(4.62092 + 0.389734i) 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} +(-9.96444 - 8.52293i) 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} +(1.44120 + 15.3664i) 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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