LMFDB - Embedded newform 252.2.o.a.95.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.7
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.30585 + 0.542910i) q^{2} +(0.773010 + 1.54999i) q^{3} +(1.41050 - 1.41792i) q^{4} +2.45799i q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.25199 - 1.38871i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(-1.80491 + 2.39631i) q^{9} +O(q^{10})$	\(q+(-1.30585 + 0.542910i) q^{2} +(0.773010 + 1.54999i) q^{3} +(1.41050 - 1.41792i) q^{4} +2.45799i q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.25199 - 1.38871i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(-1.80491 + 2.39631i) q^{9} +(-1.33447 - 3.20977i) q^{10} +3.73252 q^{11} +(3.28808 + 1.09018i) q^{12} +(-0.708051 + 1.22638i) q^{13} +(-2.18682 + 3.03608i) q^{14} +(-3.80985 + 1.90005i) q^{15} +(-0.0209987 - 3.99994i) q^{16} +(-3.50791 - 2.02529i) q^{17} +(1.05597 - 4.10913i) q^{18} +(-1.98185 + 1.14422i) q^{19} +(3.48523 + 3.46699i) q^{20} +(3.89330 + 2.41707i) q^{21} +(-4.87411 + 2.02642i) q^{22} +3.61698 q^{23} +(-4.88562 + 0.361519i) q^{24} -1.04171 q^{25} +(0.258795 - 1.98588i) q^{26} +(-5.10946 - 0.945216i) q^{27} +(1.20735 - 5.15192i) q^{28} +(-4.59226 + 2.65135i) q^{29} +(3.94354 - 4.54959i) q^{30} +(-5.38753 + 3.11049i) q^{31} +(2.19903 + 5.21193i) q^{32} +(2.88527 + 5.78535i) q^{33} +(5.68037 + 0.740251i) q^{34} +(3.41344 + 5.53538i) q^{35} +(0.851955 + 5.93921i) q^{36} +(2.37386 + 4.11165i) q^{37} +(1.96679 - 2.57015i) q^{38} +(-2.44820 - 0.149465i) q^{39} +(-6.43346 - 2.63520i) q^{40} +(-7.67307 - 4.43005i) q^{41} +(-6.39632 - 1.04262i) q^{42} +(10.5542 - 6.09346i) q^{43} +(5.26470 - 5.29241i) q^{44} +(-5.89010 - 4.43645i) q^{45} +(-4.72324 + 1.96370i) q^{46} +(4.33970 - 7.51657i) q^{47} +(6.18363 - 3.12454i) q^{48} +(3.14296 - 6.25474i) q^{49} +(1.36032 - 0.565555i) q^{50} +(0.427526 - 7.00279i) q^{51} +(0.740207 + 2.73377i) q^{52} +(6.93030 + 4.00121i) q^{53} +(7.18536 - 1.53967i) q^{54} +9.17448i q^{55} +(1.22042 + 7.38313i) q^{56} +(-3.30552 - 2.18735i) q^{57} +(4.55737 - 5.95545i) q^{58} +(-1.75698 - 3.04317i) q^{59} +(-2.67966 + 8.08208i) q^{60} +(5.23289 - 9.06363i) q^{61} +(5.34660 - 6.98679i) q^{62} +(-0.736868 + 7.90298i) q^{63} +(-5.70122 - 5.61213i) q^{64} +(-3.01443 - 1.74038i) q^{65} +(-6.90866 - 5.98836i) q^{66} +(9.49365 - 5.48116i) q^{67} +(-7.81961 + 2.11727i) q^{68} +(2.79596 + 5.60627i) q^{69} +(-7.46266 - 5.37519i) q^{70} -2.01888 q^{71} +(-4.33698 - 7.29319i) q^{72} +(0.474356 - 0.821609i) q^{73} +(-5.33217 - 4.08041i) q^{74} +(-0.805252 - 1.61464i) q^{75} +(-1.17298 + 4.42403i) q^{76} +(8.40560 - 5.18339i) q^{77} +(3.27813 - 1.13398i) q^{78} +(-3.49588 - 2.01835i) q^{79} +(9.83182 - 0.0516145i) q^{80} +(-2.48459 - 8.65025i) q^{81} +(12.4250 + 1.61920i) q^{82} +(0.112352 + 0.194599i) q^{83} +(8.91870 - 2.11112i) q^{84} +(4.97815 - 8.62241i) q^{85} +(-10.4740 + 13.6871i) q^{86} +(-7.65941 - 5.06843i) q^{87} +(-4.00161 + 9.76936i) q^{88} +(8.55343 - 4.93832i) q^{89} +(10.1002 + 2.59555i) q^{90} +(0.108562 + 3.74508i) q^{91} +(5.10174 - 5.12859i) q^{92} +(-8.98583 - 5.94615i) q^{93} +(-1.58617 + 12.1716i) q^{94} +(-2.81249 - 4.87137i) q^{95} +(-6.37855 + 7.43735i) q^{96} +(6.52412 + 11.3001i) q^{97} +(-0.708472 + 9.87411i) q^{98} +(-6.73686 + 8.94426i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.30585	+	0.542910i	−0.923376	+	0.383896i
$2$	−1.30585	+	0.542910i	−0.923376	+	0.383896i
$3$	0.773010	+	1.54999i	0.446298	+	0.894885i
$3$	0.773010	+	1.54999i	0.446298	+	0.894885i
$4$	1.41050	−	1.41792i	0.705248	−	0.708960i
$5$			2.45799i			1.09925i	0.835413	+	0.549623i	$0.185229\pi$
$5$			2.45799i			1.09925i	−0.835413	+	0.549623i	$0.814771\pi$
$6$	−1.85094	−	1.60438i	−0.755643	−	0.654984i
$7$	2.25199	−	1.38871i	0.851174	−	0.524884i
$7$	2.25199	−	1.38871i	0.851174	−	0.524884i
$8$	−1.07210	+	2.61737i	−0.379043	+	0.925379i
$9$	−1.80491	+	2.39631i	−0.601637	+	0.798770i
$10$	−1.33447	−	3.20977i	−0.421996	−	1.01502i
$11$	3.73252			1.12540			0.562698	−	0.826663i	$-0.309763\pi$
$11$	3.73252			1.12540			0.562698	+	0.826663i	$0.309763\pi$
$12$	3.28808	+	1.09018i	0.949188	+	0.314709i
$13$	−0.708051	+	1.22638i	−0.196378	+	0.340137i	−0.947351	−	0.320196i	$-0.896251\pi$
$13$	−0.708051	+	1.22638i	−0.196378	+	0.340137i	0.750973	+	0.660332i	$0.229585\pi$
$14$	−2.18682	+	3.03608i	−0.584453	+	0.811427i
$15$	−3.80985	+	1.90005i	−0.983698	+	0.490591i
$16$	−0.0209987	−	3.99994i	−0.00524967	−	0.999986i
$17$	−3.50791	−	2.02529i	−0.850794	−	0.491206i	0.0101248	−	0.999949i	$-0.496777\pi$
$17$	−3.50791	−	2.02529i	−0.850794	−	0.491206i	−0.860919	+	0.508743i	$0.830110\pi$
$18$	1.05597	−	4.10913i	0.248893	−	0.968531i
$19$	−1.98185	+	1.14422i	−0.454668	+	0.262503i	−0.709800	−	0.704404i	$-0.751215\pi$
$19$	−1.98185	+	1.14422i	−0.454668	+	0.262503i	0.255132	+	0.966906i	$0.417881\pi$
$20$	3.48523	+	3.46699i	0.779322	+	0.775241i
$21$	3.89330	+	2.41707i	0.849587	+	0.527448i
$22$	−4.87411	+	2.02642i	−1.03916	+	0.432035i
$23$	3.61698			0.754192			0.377096	−	0.926174i	$-0.376923\pi$
$23$	3.61698			0.754192			0.377096	+	0.926174i	$0.376923\pi$
$24$	−4.88562	+	0.361519i	−0.997273	+	0.0737947i
$25$	−1.04171			−0.208342
$26$	0.258795	−	1.98588i	0.0507539	−	0.389463i
$27$	−5.10946	−	0.945216i	−0.983316	−	0.181907i
$28$	1.20735	−	5.15192i	0.228167	−	0.973622i
$29$	−4.59226	+	2.65135i	−0.852762	+	0.492342i	−0.861582	−	0.507619i	$-0.830526\pi$
$29$	−4.59226	+	2.65135i	−0.852762	+	0.492342i	0.00881973	+	0.999961i	$0.497193\pi$
$30$	3.94354	−	4.54959i	0.719988	−	0.830638i
$31$	−5.38753	+	3.11049i	−0.967629	+	0.558661i	−0.898513	−	0.438948i	$-0.855351\pi$
$31$	−5.38753	+	3.11049i	−0.967629	+	0.558661i	−0.0691164	+	0.997609i	$0.522018\pi$
$32$	2.19903	+	5.21193i	0.388738	+	0.921348i
$33$	2.88527	+	5.78535i	0.502261	+	1.00710i
$34$	5.68037	+	0.740251i	0.974175	+	0.126952i
$35$	3.41344	+	5.53538i	0.576976	+	0.935650i
$36$	0.851955	+	5.93921i	0.141992	+	0.989868i
$37$	2.37386	+	4.11165i	0.390261	+	0.675952i	0.992484	−	0.122376i	$-0.0390515\pi$
$37$	2.37386	+	4.11165i	0.390261	+	0.675952i	−0.602223	+	0.798328i	$0.705718\pi$
$38$	1.96679	−	2.57015i	0.319056	−	0.416934i
$39$	−2.44820	−	0.149465i	−0.392026	−	0.0239335i
$40$	−6.43346	−	2.63520i	−1.01722	−	0.416661i
$41$	−7.67307	−	4.43005i	−1.19833	−	0.691857i	−0.238149	−	0.971229i	$-0.576541\pi$
$41$	−7.67307	−	4.43005i	−1.19833	−	0.691857i	−0.960183	+	0.279372i	$0.909874\pi$
$42$	−6.39632	−	1.04262i	−0.986974	−	0.160880i
$43$	10.5542	−	6.09346i	1.60950	−	0.929244i	0.620016	−	0.784590i	$-0.287126\pi$
$43$	10.5542	−	6.09346i	1.60950	−	0.929244i	0.989482	−	0.144654i	$-0.0462070\pi$
$44$	5.26470	−	5.29241i	0.793683	−	0.797861i
$45$	−5.89010	−	4.43645i	−0.878044	−	0.661347i
$46$	−4.72324	+	1.96370i	−0.696403	+	0.289531i
$47$	4.33970	−	7.51657i	0.633010	−	1.09640i	−0.353923	−	0.935274i	$-0.615153\pi$
$47$	4.33970	−	7.51657i	0.633010	−	1.09640i	0.986933	−	0.161130i	$-0.0515140\pi$
$48$	6.18363	−	3.12454i	0.892529	−	0.450989i
$49$	3.14296	−	6.25474i	0.448994	−	0.893535i
$50$	1.36032	−	0.565555i	0.192378	−	0.0799816i
$51$	0.427526	−	7.00279i	0.0598656	−	0.980586i
$52$	0.740207	+	2.73377i	0.102648	+	0.379105i
$53$	6.93030	+	4.00121i	0.951950	+	0.549609i	0.893686	−	0.448693i	$-0.148110\pi$
$53$	6.93030	+	4.00121i	0.951950	+	0.549609i	0.0582640	+	0.998301i	$0.481443\pi$
$54$	7.18536	−	1.53967i	0.977804	−	0.209522i
$55$			9.17448i			1.23709i
$56$	1.22042	+	7.38313i	0.163085	+	0.986612i
$57$	−3.30552	−	2.18735i	−0.437827	−	0.289721i
$58$	4.55737	−	5.95545i	0.598412	−	0.781989i
$59$	−1.75698	−	3.04317i	−0.228739	−	0.396187i	0.728696	−	0.684838i	$-0.240127\pi$
$59$	−1.75698	−	3.04317i	−0.228739	−	0.396187i	−0.957435	+	0.288650i	$0.906794\pi$
$60$	−2.67966	+	8.08208i	−0.345942	+	1.04339i
$61$	5.23289	−	9.06363i	0.670003	−	1.16048i	−0.307900	−	0.951419i	$-0.599626\pi$
$61$	5.23289	−	9.06363i	0.670003	−	1.16048i	0.977903	−	0.209060i	$-0.0670404\pi$
$62$	5.34660	−	6.98679i	0.679018	−	0.887323i
$63$	−0.736868	+	7.90298i	−0.0928366	+	0.995681i
$64$	−5.70122	−	5.61213i	−0.712653	−	0.701517i
$65$	−3.01443	−	1.74038i	−0.373894	−	0.215868i
$66$	−6.90866	−	5.98836i	−0.850397	−	0.737116i
$67$	9.49365	−	5.48116i	1.15983	−	0.669630i	0.208570	−	0.978008i	$-0.433119\pi$
$67$	9.49365	−	5.48116i	1.15983	−	0.669630i	0.951264	+	0.308377i	$0.0997859\pi$
$68$	−7.81961	+	2.11727i	−0.948266	+	0.256757i
$69$	2.79596	+	5.60627i	0.336594	+	0.674915i
$70$	−7.46266	−	5.37519i	−0.891958	−	0.642458i
$71$	−2.01888			−0.239597			−0.119799	−	0.992798i	$-0.538225\pi$
$71$	−2.01888			−0.239597			−0.119799	+	0.992798i	$0.538225\pi$
$72$	−4.33698	−	7.29319i	−0.511118	−	0.859510i
$73$	0.474356	−	0.821609i	0.0555192	−	0.0961621i	−0.836930	−	0.547310i	$-0.815652\pi$
$73$	0.474356	−	0.821609i	0.0555192	−	0.0961621i	0.892449	+	0.451148i	$0.148985\pi$
$74$	−5.33217	−	4.08041i	−0.619853	−	0.474338i
$75$	−0.805252	−	1.61464i	−0.0929825	−	0.186442i
$76$	−1.17298	+	4.42403i	−0.134550	+	0.507471i
$77$	8.40560	−	5.18339i	0.957908	−	0.590702i
$78$	3.27813	−	1.13398i	0.371176	−	0.128397i
$79$	−3.49588	−	2.01835i	−0.393318	−	0.227082i	0.290279	−	0.956942i	$-0.406252\pi$
$79$	−3.49588	−	2.01835i	−0.393318	−	0.227082i	−0.683597	+	0.729860i	$0.739585\pi$
$80$	9.83182	−	0.0516145i	1.09923	−	0.00577068i
$81$	−2.48459	−	8.65025i	−0.276066	−	0.961139i
$82$	12.4250	+	1.61920i	1.37211	+	0.178810i
$83$	0.112352	+	0.194599i	0.0123322	+	0.0213601i	0.872126	−	0.489282i	$-0.162741\pi$
$83$	0.112352	+	0.194599i	0.0123322	+	0.0213601i	−0.859793	+	0.510642i	$0.829408\pi$
$84$	8.91870	−	2.11112i	0.973110	−	0.230342i
$85$	4.97815	−	8.62241i	0.539956	−	0.935232i
$86$	−10.4740	+	13.6871i	−1.12944	+	1.47592i
$87$	−7.65941	−	5.06843i	−0.821175	−	0.543393i
$88$	−4.00161	+	9.76936i	−0.426573	+	1.04142i
$89$	8.55343	−	4.93832i	0.906662	−	0.523461i	0.0273061	−	0.999627i	$-0.491307\pi$
$89$	8.55343	−	4.93832i	0.906662	−	0.523461i	0.879356	+	0.476166i	$0.157974\pi$
$90$	10.1002	+	2.59555i	1.06465	+	0.273595i
$91$	0.108562	+	3.74508i	0.0113804	+	0.392591i
$92$	5.10174	−	5.12859i	0.531893	−	0.534692i
$93$	−8.98583	−	5.94615i	−0.931787	−	0.616587i
$94$	−1.58617	+	12.1716i	−0.163601	+	1.25540i
$95$	−2.81249	−	4.87137i	−0.288555	−	0.499792i
$96$	−6.37855	+	7.43735i	−0.651008	+	0.759071i
$97$	6.52412	+	11.3001i	0.662424	+	1.14735i	0.979977	+	0.199111i	$0.0638056\pi$
$97$	6.52412	+	11.3001i	0.662424	+	1.14735i	−0.317553	+	0.948241i	$0.602861\pi$
$98$	−0.708472	+	9.87411i	−0.0715665	+	0.997436i
$99$	−6.73686	+	8.94426i	−0.677080	+	0.898932i
$100$	−1.46933	+	1.47706i	−0.146933	+	0.147706i
$101$		−	5.48128i		−	0.545408i	−0.962098	−	0.272704i	$-0.912082\pi$
$101$		−	5.48128i		−	0.545408i	0.962098	−	0.272704i	$-0.0879180\pi$
$102$	3.24360	+	9.37671i	0.321164	+	0.928432i
$103$			16.4461i			1.62048i	0.586097	+	0.810241i	$0.300664\pi$
$103$			16.4461i			1.62048i	−0.586097	+	0.810241i	$0.699336\pi$
$104$	−2.45079	−	3.16803i	−0.240320	−	0.310650i
$105$	−5.94113	+	9.56968i	−0.579795	+	0.933905i
$106$	−11.2222	−	1.46246i	−1.09000	−	0.142046i
$107$	−4.38000	−	7.58638i	−0.423431	−	0.733404i	0.572842	−	0.819666i	$-0.305841\pi$
$107$	−4.38000	−	7.58638i	−0.423431	−	0.733404i	−0.996272	+	0.0862625i	$0.972508\pi$
$108$	−8.54712	+	5.91158i	−0.822447	+	0.568842i
$109$	−5.83206	+	10.1014i	−0.558610	+	0.967541i	0.439003	+	0.898486i	$0.355332\pi$
$109$	−5.83206	+	10.1014i	−0.558610	+	0.967541i	−0.997613	+	0.0690550i	$0.978002\pi$
$110$	−4.98092	−	11.9805i	−0.474912	−	1.14230i
$111$	−4.53798	+	6.85780i	−0.430726	+	0.650914i
$112$	−5.60206	−	8.97869i	−0.529345	−	0.848407i
$113$	−8.35926	−	4.82622i	−0.786373	−	0.454013i	0.0523109	−	0.998631i	$-0.483341\pi$
$113$	−8.35926	−	4.82622i	−0.786373	−	0.454013i	−0.838684	+	0.544618i	$0.816675\pi$
$114$	5.50405	+	1.06175i	0.515502	+	0.0994419i
$115$			8.89049i			0.829043i
$116$	−2.71798	+	10.2512i	−0.252358	+	0.951798i
$117$	−1.66082	−	3.91022i	−0.153543	−	0.361500i
$118$	3.94652	+	3.02005i	0.363307	+	0.278018i
$119$	−10.7124	+	0.310528i	−0.982000	+	0.0284661i
$120$	−0.888609	−	12.0088i	−0.0811185	−	1.09625i
$121$	2.93167			0.266516
$122$	−1.91264	+	14.6767i	−0.173162	+	1.32877i
$123$	0.935153	−	15.3176i	0.0843199	−	1.38114i
$124$	−3.18866	+	12.0264i	−0.286350	+	1.08001i
$125$			9.72943i			0.870227i
$126$	−3.32837	−	10.7202i	−0.296515	−	0.955028i
$127$		−	0.937979i		−	0.0832322i	−0.999134	−	0.0416161i	$-0.986749\pi$
$127$		−	0.937979i		−	0.0832322i	0.999134	−	0.0416161i	$-0.0132506\pi$
$128$	10.4918	+	4.23336i	0.927356	+	0.374180i
$129$	17.6033	+	11.6485i	1.54988	+	1.02560i
$130$	4.88127	+	0.636115i	0.428116	+	0.0557910i
$131$	6.97190			0.609138			0.304569	−	0.952490i	$-0.401488\pi$
$131$	6.97190			0.609138			0.304569	+	0.952490i	$0.401488\pi$
$132$	12.2728	+	4.06912i	1.06821	+	0.354172i
$133$	−2.87412	+	5.32900i	−0.249218	+	0.462083i
$134$	−9.42152	+	12.3118i	−0.813895	+	1.06358i
$135$	2.32333	−	12.5590i	0.199960	−	1.08091i
$136$	9.06176	−	7.01019i	0.777039	−	0.601119i
$137$		−	14.5675i		−	1.24459i	−0.782784	−	0.622293i	$-0.786201\pi$
$137$		−	14.5675i		−	1.24459i	0.782784	−	0.622293i	$-0.213799\pi$
$138$	−6.69481	−	5.80299i	−0.569900	−	0.493984i
$139$	−11.2990	−	6.52347i	−0.958368	−	0.553314i	−0.0626973	−	0.998033i	$-0.519970\pi$
$139$	−11.2990	−	6.52347i	−0.958368	−	0.553314i	−0.895670	+	0.444719i	$0.853304\pi$
$140$	12.6634	+	2.96765i	1.07025	+	0.250812i
$141$	15.0052	+	0.916080i	1.26367	+	0.0771479i
$142$	2.63636	−	1.09607i	0.221239	−	0.0919804i
$143$	−2.64281	+	4.57748i	−0.221003	+	0.382788i
$144$	9.62300	+	7.16923i	0.801917	+	0.597436i
$145$	−6.51698	−	11.2877i	−0.541205	−	0.937395i
$146$	−0.173379	+	1.33043i	−0.0143489	+	0.110107i
$147$	12.1243	+	0.0365619i	0.999995	+	0.00301557i
$148$	9.17833	+	2.43352i	0.754454	+	0.200034i
$149$			22.2238i			1.82064i	0.413902	+	0.910321i	$0.364166\pi$
$149$			22.2238i			1.82064i	−0.413902	+	0.910321i	$0.635834\pi$
$150$	1.92814	+	1.67129i	0.157432	+	0.136461i
$151$		−	2.25709i		−	0.183679i	−0.995774	−	0.0918395i	$-0.970725\pi$
$151$		−	2.25709i		−	0.183679i	0.995774	−	0.0918395i	$-0.0292747\pi$
$152$	−0.870117	−	6.41395i	−0.0705758	−	0.520240i
$153$	11.1847	−	4.75057i	0.904229	−	0.384060i
$154$	−8.16236	+	11.3322i	−0.657741	+	0.913177i
$155$	−7.64556	−	13.2425i	−0.614106	−	1.06366i
$156$	−3.66511	+	3.26054i	−0.293444	+	0.261052i
$157$	1.11181	+	1.92570i	0.0887317	+	0.153688i	0.906975	−	0.421184i	$-0.138385\pi$
$157$	1.11181	+	1.92570i	0.0887317	+	0.153688i	−0.818244	+	0.574872i	$0.805052\pi$
$158$	5.66089	+	0.737713i	0.450356	+	0.0586893i
$159$	−0.844628	+	13.8348i	−0.0669834	+	1.09717i
$160$	−12.8109	+	5.40520i	−1.01279	+	0.427318i
$161$	8.14542	−	5.02294i	0.641949	−	0.395863i
$162$	7.94082	+	9.94703i	0.623890	+	0.781513i
$163$	−0.479974	+	0.277113i	−0.0375945	+	0.0217052i	−0.518679	−	0.854969i	$-0.673576\pi$
$163$	−0.479974	+	0.277113i	−0.0375945	+	0.0217052i	0.481085	+	0.876674i	$0.340243\pi$
$164$	−17.1043	+	4.63123i	−1.33562	+	0.361639i
$165$	−14.2203	+	7.09197i	−1.10705	+	0.552109i
$166$	−0.252365	−	0.193121i	−0.0195873	−	0.0149891i
$167$	5.78903	−	10.0269i	0.447968	−	0.775904i	−0.550285	−	0.834977i	$-0.685481\pi$
$167$	5.78903	−	10.0269i	0.447968	−	0.775904i	0.998254	+	0.0590727i	$0.0188144\pi$
$168$	−10.5003	+	7.59886i	−0.810120	+	0.586265i
$169$	5.49733	+	9.52165i	0.422871	+	0.732435i
$170$	−1.81953	+	13.9623i	−0.139552	+	1.07086i
$171$	0.835156	−	6.81435i	0.0638660	−	0.521106i
$172$	6.24659	−	23.5598i	0.476298	−	1.79642i
$173$	−9.23186	−	5.33002i	−0.701886	−	0.405234i	0.106164	−	0.994349i	$-0.466143\pi$
$173$	−9.23186	−	5.33002i	−0.701886	−	0.405234i	−0.808049	+	0.589115i	$0.799477\pi$
$174$	12.7538	+	2.46024i	0.966860	+	0.186510i
$175$	−2.34592	+	1.44663i	−0.177335	+	0.109355i
$176$	−0.0783779	−	14.9299i	−0.00590795	−	1.12538i
$177$	3.35871	−	5.07569i	0.252456	−	0.381512i
$178$	−8.48844	+	11.0925i	−0.636235	+	0.831415i
$179$	10.5947	−	18.3506i	0.791886	−	1.37159i	−0.132911	−	0.991128i	$-0.542433\pi$
$179$	10.5947	−	18.3506i	0.791886	−	1.37159i	0.924798	−	0.380459i	$-0.124234\pi$
$180$	−14.5985	+	2.09410i	−1.08811	+	0.156085i
$181$	−16.5889			−1.23304			−0.616521	−	0.787338i	$-0.711459\pi$
$181$	−16.5889			−1.23304			−0.616521	+	0.787338i	$0.711459\pi$
$182$	−2.17501	−	4.83158i	−0.161222	−	0.358141i
$183$	18.0936	+	1.10463i	1.33751	+	0.0816564i
$184$	−3.87775	+	9.46696i	−0.285871	+	0.697914i
$185$	−10.1064	+	5.83493i	−0.743037	+	0.428993i
$186$	14.9624	+	2.88629i	1.09710	+	0.211633i
$187$	−13.0933	−	7.55944i	−0.957480	−	0.552801i
$188$	−4.53678	−	16.7554i	−0.330879	−	1.22202i
$189$	−12.8191	+	4.96694i	−0.932453	+	0.361292i
$190$	6.31741	+	4.83436i	0.458313	+	0.350721i
$191$	−8.24273	+	14.2768i	−0.596423	+	1.03303i	0.396922	+	0.917853i	$0.370078\pi$
$191$	−8.24273	+	14.2768i	−0.596423	+	1.03303i	−0.993344	+	0.115182i	$0.963255\pi$
$192$	4.29163	−	13.1751i	0.309721	−	0.950827i
$193$	−11.5854	−	20.0665i	−0.833936	−	1.44442i	−0.894894	−	0.446280i	$-0.852749\pi$
$193$	−11.5854	−	20.0665i	−0.833936	−	1.44442i	0.0609572	−	0.998140i	$-0.480585\pi$
$194$	−14.6545	−	11.2142i	−1.05213	−	0.805136i
$195$	0.367383	−	6.01765i	0.0263088	−	0.430933i
$196$	−4.43560	−	13.2788i	−0.316828	−	0.948483i
$197$		−	14.4116i		−	1.02679i	−0.858154	−	0.513393i	$-0.828389\pi$
$197$		−	14.4116i		−	1.02679i	0.858154	−	0.513393i	$-0.171611\pi$
$198$	3.94141	−	15.3374i	0.280104	−	1.08998i
$199$	2.36477	+	1.36530i	0.167634	+	0.0967837i	0.581470	−	0.813568i	$-0.302478\pi$
$199$	2.36477	+	1.36530i	0.167634	+	0.0967837i	−0.413836	+	0.910352i	$0.635811\pi$
$200$	1.11681	−	2.72654i	0.0789705	−	0.192795i
$201$	15.8344	+	10.4780i	1.11687	+	0.739063i
$202$	2.97585	+	7.15774i	0.209380	+	0.503617i
$203$	−6.65980	+	12.3481i	−0.467426	+	0.866670i
$204$	−9.32637	−	10.4836i	−0.652977	−	0.733999i
$205$	10.8890	−	18.8603i	0.760521	−	1.31726i
$206$	−8.92876	−	21.4762i	−0.622096	−	1.49632i
$207$	−6.52833	+	8.66740i	−0.453750	+	0.602426i
$208$	4.92032	+	2.80641i	0.341163	+	0.194590i
$209$	−7.39729	+	4.27083i	−0.511681	+	0.295419i
$210$	2.56276	−	15.7221i	0.176847	−	1.08493i
$211$	−7.91848	−	4.57174i	−0.545131	−	0.314731i	0.202025	−	0.979380i	$-0.435248\pi$
$211$	−7.91848	−	4.57174i	−0.545131	−	0.314731i	−0.747156	+	0.664649i	$0.768581\pi$
$212$	15.4486	−	4.18292i	1.06101	−	0.287284i
$213$	−1.56062	−	3.12924i	−0.106932	−	0.214412i
$214$	9.83836	+	7.52874i	0.672536	+	0.514654i
$215$	14.9777	+	25.9421i	1.02147	+	1.76923i
$216$	7.95180	−	12.3600i	0.541052	−	0.840989i
$217$	−7.81311	+	14.4865i	−0.530389	+	0.983410i
$218$	2.13164	−	16.3572i	0.144373	−	1.10785i
$219$	1.64017	+	0.100133i	0.110832	+	0.00676639i
$220$	13.0087	+	12.9406i	0.877046	+	0.872453i
$221$	4.96756	−	2.86802i	0.334154	−	0.192924i
$222$	2.20276	−	11.4190i	0.147840	−	0.766393i
$223$	−7.77997	+	4.49177i	−0.520985	+	0.300791i	−0.737338	−	0.675524i	$-0.763917\pi$
$223$	−7.77997	+	4.49177i	−0.520985	+	0.300791i	0.216352	+	0.976315i	$0.430584\pi$
$224$	12.1901	+	8.68342i	0.814484	+	0.580186i
$225$	1.88019	−	2.49626i	0.125346	−	0.166417i
$226$	13.5362	+	1.76400i	0.900412	+	0.117340i
$227$	10.3688			0.688198			0.344099	−	0.938933i	$-0.388184\pi$
$227$	10.3688			0.688198			0.344099	+	0.938933i	$0.388184\pi$
$228$	−7.76391	+	1.60172i	−0.514177	+	0.106077i
$229$	−3.71000			−0.245164			−0.122582	−	0.992458i	$-0.539117\pi$
$229$	−3.71000			−0.245164			−0.122582	+	0.992458i	$0.539117\pi$
$230$	−4.82674	−	11.6097i	−0.318266	−	0.765519i
$231$	14.5318	+	9.02176i	0.956122	+	0.593588i
$232$	−2.01620	−	14.8621i	−0.132370	−	0.975747i
$233$	−12.9602	+	7.48260i	−0.849054	+	0.490201i	−0.860331	−	0.509735i	$-0.829743\pi$
$233$	−12.9602	+	7.48260i	−0.849054	+	0.490201i	0.0112778	+	0.999936i	$0.496410\pi$
$234$	4.29168	+	4.20449i	0.280556	+	0.274856i
$235$	18.4757	+	10.6669i	1.20522	+	0.695833i
$236$	−6.79319	−	1.80113i	−0.442199	−	0.117244i
$237$	0.426060	−	6.97877i	0.0276756	−	0.453320i
$238$	13.8202	−	6.22135i	0.895827	−	0.403270i
$239$	−6.84478	+	11.8555i	−0.442752	+	0.766869i	−0.997893	−	0.0648877i	$-0.979331\pi$
$239$	−6.84478	+	11.8555i	−0.442752	+	0.766869i	0.555141	+	0.831756i	$0.312664\pi$
$240$	7.68010	+	15.1993i	0.495748	+	0.981109i
$241$	11.7384			0.756135			0.378067	−	0.925778i	$-0.376589\pi$
$241$	11.7384			0.756135			0.378067	+	0.925778i	$0.376589\pi$
$242$	−3.82833	+	1.59164i	−0.246094	+	0.102314i
$243$	11.4871	−	10.5378i	0.736901	−	0.676001i
$244$	−5.47054	−	20.2040i	−0.350215	−	1.29343i
$245$	15.3741	+	7.72536i	0.982215	+	0.493555i
$246$	7.09492	+	20.5102i	0.452356	+	1.30768i
$247$		−	3.24067i		−	0.206199i
$248$	−2.36535	−	17.4359i	−0.150200	−	1.10718i
$249$	−0.214777	+	0.324571i	−0.0136109	+	0.0205689i
$250$	−5.28221	−	12.7052i	−0.334076	−	0.803547i
$251$	−17.6466			−1.11384			−0.556922	−	0.830565i	$-0.688018\pi$
$251$	−17.6466			−1.11384			−0.556922	+	0.830565i	$0.688018\pi$
$252$	10.1664	+	12.1919i	0.640426	+	0.768020i
$253$	13.5004			0.848765
$254$	0.509239	+	1.22486i	0.0319525	+	0.0768547i
$255$	17.2128	+	1.05085i	1.07791	+	0.0658070i
$256$	−15.9991	+	0.167987i	−0.999945	+	0.0104992i
$257$			14.9206i			0.930720i	0.885121	+	0.465360i	$0.154075\pi$
$257$			14.9206i			0.930720i	−0.885121	+	0.465360i	$0.845925\pi$
$258$	−29.3114	−	5.65425i	−1.82485	−	0.352018i
$259$	11.0558	+	5.96281i	0.686976	+	0.370511i
$260$	−6.71956	+	1.81942i	−0.416730	+	0.112836i
$261$	1.93519	−	15.7899i	0.119785	−	0.977372i
$262$	−9.10426	+	3.78512i	−0.562463	+	0.233845i
$263$	0.853210			0.0526112			0.0263056	−	0.999654i	$-0.491626\pi$
$263$	0.853210			0.0526112			0.0263056	+	0.999654i	$0.491626\pi$
$264$	−18.2357	+	1.34937i	−1.12233	+	0.0830482i
$265$	−9.83493	+	17.0346i	−0.604155	+	1.04643i
$266$	0.860007	−	8.51928i	0.0527304	−	0.522351i
$267$	14.2662	+	9.44032i	0.873078	+	0.577738i
$268$	5.61891	−	21.1924i	0.343229	−	1.29453i
$269$	−6.98964	−	4.03547i	−0.426166	−	0.246047i	0.271546	−	0.962425i	$-0.412465\pi$
$269$	−6.98964	−	4.03547i	−0.426166	−	0.246047i	−0.697712	+	0.716378i	$0.745798\pi$
$270$	3.78448	+	17.6615i	0.230316	+	1.07485i
$271$	13.5435	−	7.81935i	0.822710	−	0.474992i	−0.0286401	−	0.999590i	$-0.509118\pi$
$271$	13.5435	−	7.81935i	0.822710	−	0.474992i	0.851350	+	0.524598i	$0.175784\pi$
$272$	−8.02740	+	14.0740i	−0.486733	+	0.853361i
$273$	−5.72090	+	3.06325i	−0.346245	+	0.185397i
$274$	7.90885	+	19.0230i	0.477791	+	1.14922i
$275$	−3.88820			−0.234467
$276$	11.8929	+	3.94317i	0.715870	+	0.237351i
$277$	−20.2469			−1.21652			−0.608259	−	0.793739i	$-0.708132\pi$
$277$	−20.2469			−1.21652			−0.608259	+	0.793739i	$0.708132\pi$
$278$	18.2965	+	2.38435i	1.09735	+	0.143004i
$279$	2.27031	−	18.5243i	0.135920	−	1.10902i
$280$	−18.1476	+	2.99977i	−1.08453	+	0.179271i
$281$	5.50545	−	3.17857i	0.328428	−	0.189618i	−0.326715	−	0.945123i	$-0.605942\pi$
$281$	5.50545	−	3.17857i	0.328428	−	0.189618i	0.655143	+	0.755505i	$0.272608\pi$
$282$	−20.0919	+	6.95022i	−1.19646	+	0.413880i
$283$	8.85659	−	5.11336i	0.526470	−	0.303958i	−0.213108	−	0.977029i	$-0.568359\pi$
$283$	8.85659	−	5.11336i	0.526470	−	0.303958i	0.739578	+	0.673071i	$0.235025\pi$
$284$	−2.84763	+	2.86262i	−0.168976	+	0.169865i
$285$	5.37647	−	8.12493i	0.318475	−	0.481279i
$286$	0.965956	−	7.41232i	0.0571182	−	0.438300i
$287$	−23.4318	+	0.679237i	−1.38313	+	0.0400941i
$288$	−16.4585	−	4.13752i	−0.969824	−	0.243805i
$289$	−0.296366	−	0.513321i	−0.0174333	−	0.0301954i
$290$	14.6384	+	11.2020i	0.859598	+	0.657802i
$291$	−12.4718	+	18.8474i	−0.731110	+	1.10485i
$292$	−0.495899	−	1.83148i	−0.0290203	−	0.107179i
$293$	20.6599	+	11.9280i	1.20696	+	0.696840i	0.962094	−	0.272716i	$-0.0879221\pi$
$293$	20.6599	+	11.9280i	1.20696	+	0.696840i	0.244868	+	0.969556i	$0.421255\pi$
$294$	−15.8524	+	6.53466i	−0.924530	+	0.381109i
$295$	7.48009	−	4.31863i	0.435507	−	0.251440i
$296$	−13.3067	+	1.80519i	−0.773437	+	0.104925i
$297$	−19.0711	−	3.52803i	−1.10662	−	0.204717i
$298$	−12.0655	−	29.0210i	−0.698937	−	1.68114i
$299$	−2.56101	+	4.43579i	−0.148107	+	0.256528i
$300$	−3.42523	−	1.13565i	−0.197756	−	0.0655670i
$301$	15.3059	−	28.3792i	0.882217	−	1.63575i
$302$	1.22540	+	2.94742i	0.0705136	+	0.169605i
$303$	8.49591	−	4.23709i	0.488077	−	0.243414i
$304$	4.61844	+	7.90327i	0.264886	+	0.453284i
$305$	22.2783	+	12.8624i	1.27565	+	0.736498i
$306$	−12.0264	+	12.2758i	−0.687505	+	0.701762i
$307$		−	6.44982i		−	0.368111i	−0.982916	−	0.184055i	$-0.941077\pi$
$307$		−	6.44982i		−	0.368111i	0.982916	−	0.184055i	$-0.0589226\pi$
$308$	4.50644	−	19.2296i	0.256778	−	1.09571i
$309$	−25.4912	+	12.7130i	−1.45014	+	0.723217i
$310$	17.1734	+	13.1419i	0.975386	+	0.746408i
$311$	0.253074	+	0.438337i	0.0143505	+	0.0248558i	0.873111	−	0.487521i	$-0.162099\pi$
$311$	0.253074	+	0.438337i	0.0143505	+	0.0248558i	−0.858761	+	0.512376i	$0.828765\pi$
$312$	3.01591	−	6.24760i	0.170742	−	0.353701i
$313$	−12.6914	+	21.9822i	−0.717362	+	1.24251i	0.244679	+	0.969604i	$0.421317\pi$
$313$	−12.6914	+	21.9822i	−0.717362	+	1.24251i	−0.962041	+	0.272904i	$0.912016\pi$
$314$	−2.49734	−	1.91107i	−0.140933	−	0.107848i
$315$	−19.4254	−	1.81121i	−1.09450	−	0.102050i
$316$	−7.79279	+	2.11001i	−0.438379	+	0.118697i
$317$	20.8397	+	12.0318i	1.17048	+	0.675774i	0.953792	−	0.300468i	$-0.0971427\pi$
$317$	20.8397	+	12.0318i	1.17048	+	0.675774i	0.216683	+	0.976242i	$0.430476\pi$
$318$	−6.40812	−	18.5248i	−0.359350	−	1.03882i
$319$	−17.1407	+	9.89619i	−0.959695	+	0.554080i
$320$	13.7946	−	14.0135i	0.771140	−	0.783381i
$321$	8.37300	−	12.6533i	0.467335	−	0.706238i
$322$	−7.90970	+	10.9814i	−0.440790	+	0.611972i
$323$	9.26955			0.515772
$324$	−15.7699	−	8.67819i	−0.876104	−	0.482122i
$325$	0.737584	−	1.27753i	0.0409138	−	0.0708647i
$326$	0.476327	−	0.622451i	0.0263813	−	0.0344744i
$327$	−20.1653	−	1.23111i	−1.11514	−	0.0680804i
$328$	19.8213	−	15.3338i	1.09445	−	0.846668i
$329$	−0.665384	−	22.9539i	−0.0366838	−	1.26549i
$330$	14.7193	−	16.9814i	0.810272	−	0.934796i
$331$	−5.80713	−	3.35275i	−0.319189	−	0.184284i	0.331842	−	0.943335i	$-0.392330\pi$
$331$	−5.80713	−	3.35275i	−0.319189	−	0.184284i	−0.651031	+	0.759051i	$0.725663\pi$
$332$	0.434399	+	0.115176i	0.0238407	+	0.00632108i
$333$	−14.1374	−	1.73266i	−0.774725	−	0.0949491i
$334$	−2.11591	+	16.2366i	−0.115777	+	0.888425i
$335$	13.4726	+	23.3353i	0.736089	+	1.27494i
$336$	9.58640	−	15.6237i	0.522981	−	0.852344i
$337$	−15.3334	+	26.5582i	−0.835263	+	1.44672i	0.0585525	+	0.998284i	$0.481351\pi$
$337$	−15.3334	+	26.5582i	−0.835263	+	1.44672i	−0.893816	+	0.448434i	$0.851982\pi$
$338$	−12.3481	−	9.44931i	−0.671648	−	0.513975i
$339$	1.01878	−	16.6875i	0.0553327	−	0.906338i
$340$	−5.20423	−	19.2205i	−0.282239	−	1.04238i
$341$	−20.1090	+	11.6100i	−1.08897	+	0.628715i
$342$	2.60899	+	9.35194i	0.141078	+	0.505695i
$343$	−1.60811	−	18.4503i	−0.0868298	−	0.996223i
$344$	4.63373	+	34.1569i	0.249834	+	1.84162i
$345$	−13.7801	+	6.87244i	−0.741898	+	0.370000i
$346$	14.9492	+	1.94814i	0.803672	+	0.104733i
$347$	4.51700	+	7.82368i	0.242485	+	0.419997i	0.961422	−	0.275079i	$-0.0887040\pi$
$347$	4.51700	+	7.82368i	0.242485	+	0.419997i	−0.718936	+	0.695076i	$0.755371\pi$
$348$	−17.9902	+	3.71144i	−0.964376	+	0.198954i
$349$	10.9004	+	18.8800i	0.583485	+	1.01063i	0.995062	+	0.0992507i	$0.0316446\pi$
$349$	10.9004	+	18.8800i	0.583485	+	1.01063i	−0.411578	+	0.911375i	$0.635022\pi$
$350$	2.27804	−	3.16272i	0.121766	−	0.169054i
$351$	4.77695	−	5.59688i	0.254975	−	0.298739i
$352$	8.20792	+	19.4536i	0.437484	+	1.03688i
$353$			11.9218i			0.634536i	0.948336	+	0.317268i	$0.102765\pi$
$353$			11.9218i			0.634536i	−0.948336	+	0.317268i	$0.897235\pi$
$354$	−1.63034	+	8.45158i	−0.0866514	+	0.449196i
$355$		−	4.96239i		−	0.263376i
$356$	5.06243	−	19.0936i	0.268308	−	1.01196i
$357$	−8.76207	−	16.3639i	−0.463738	−	0.866072i
$358$	−3.87240	+	29.7151i	−0.204663	+	1.57049i
$359$	−5.13759	−	8.89857i	−0.271152	−	0.469649i	0.698005	−	0.716093i	$-0.254071\pi$
$359$	−5.13759	−	8.89857i	−0.271152	−	0.469649i	−0.969157	+	0.246444i	$0.920738\pi$
$360$	17.9266	−	10.6603i	0.944813	−	0.561845i
$361$	−6.88151	+	11.9191i	−0.362185	+	0.627322i
$362$	21.6626	−	9.00628i	1.13856	−	0.473360i
$363$	2.26621	+	4.54405i	0.118945	+	0.238501i
$364$	5.46335	+	5.12849i	0.286358	+	0.268806i
$365$	2.01951	+	1.16596i	0.105706	+	0.0610293i
$366$	−24.2272	+	8.38071i	−1.26638	+	0.438067i
$367$		−	27.4387i		−	1.43229i	−0.697951	−	0.716145i	$-0.745905\pi$
$367$		−	27.4387i		−	1.43229i	0.697951	−	0.716145i	$-0.254095\pi$
$368$	−0.0759517	−	14.4677i	−0.00395926	−	0.754182i
$369$	24.4650	−	10.3912i	1.27360	−	0.540944i
$370$	10.0296	−	13.1064i	0.521415	−	0.681371i
$371$	21.1635	−	0.613486i	1.09876	−	0.0318506i
$372$	−21.1057	+	4.35417i	−1.09428	+	0.225753i
$373$	−5.06521			−0.262266			−0.131133	−	0.991365i	$-0.541862\pi$
$373$	−5.06521			−0.262266			−0.131133	+	0.991365i	$0.541862\pi$
$374$	21.2021	+	2.76300i	1.09633	+	0.142871i
$375$	−15.0805	+	7.52095i	−0.778753	+	0.388380i
$376$	15.0211	+	19.4171i	0.774652	+	1.00136i
$377$		−	7.50915i		−	0.386741i
$378$	14.0432	−	13.4457i	0.722306	−	0.691573i
$379$			1.02589i			0.0526966i	0.999653	+	0.0263483i	$0.00838790\pi$
$379$			1.02589i			0.0526966i	−0.999653	+	0.0263483i	$0.991612\pi$
$380$	−10.8742	−	2.88317i	−0.557836	−	0.147903i
$381$	1.45385	−	0.725067i	0.0744832	−	0.0371463i
$382$	3.01274	−	23.1185i	0.154145	−	1.18284i
$383$	−25.2687			−1.29117			−0.645584	−	0.763689i	$-0.723386\pi$
$383$	−25.2687			−1.29117			−0.645584	+	0.763689i	$0.723386\pi$
$384$	1.54865	+	19.5346i	0.0790290	+	0.996872i
$385$	12.7407	+	20.6609i	0.649327	+	1.05298i
$386$	26.0232	+	19.9141i	1.32454	+	1.01360i
$387$	−4.44755	+	36.2892i	−0.226082	+	1.84469i
$388$	25.2249	+	6.68808i	1.28060	+	0.339536i
$389$			9.30821i			0.471945i	0.971760	+	0.235973i	$0.0758276\pi$
$389$			9.30821i			0.471945i	−0.971760	+	0.235973i	$0.924172\pi$
$390$	2.78730	+	8.05762i	0.141140	+	0.408013i
$391$	−12.6880	−	7.32545i	−0.641662	−	0.370464i
$392$	13.0014	+	14.9320i	0.656670	+	0.754178i
$393$	5.38935	+	10.8063i	0.271857	+	0.545108i
$394$	7.82422	+	18.8194i	0.394178	+	0.948109i
$395$	4.96108	−	8.59284i	0.249619	−	0.432353i
$396$	3.17993	+	22.1682i	0.159798	+	1.11399i
$397$	−7.25979	−	12.5743i	−0.364358	−	0.631087i	0.624315	−	0.781173i	$-0.285378\pi$
$397$	−7.25979	−	12.5743i	−0.364358	−	0.631087i	−0.988673	+	0.150086i	$0.952045\pi$
$398$	−3.82928	−	0.499022i	−0.191944	−	0.0250137i
$399$	−10.4816	−	0.335477i	−0.524737	−	0.0167949i
$400$	0.0218745	+	4.16678i	0.00109373	+	0.208339i
$401$		−	17.9574i		−	0.896748i	−0.893846	−	0.448374i	$-0.852003\pi$
$401$		−	17.9574i		−	0.896748i	0.893846	−	0.448374i	$-0.147997\pi$
$402$	−26.3660	−	5.08609i	−1.31502	−	0.253671i
$403$		−	8.80955i		−	0.438835i
$404$	−7.77203	−	7.73133i	−0.386673	−	0.384648i
$405$	21.2622	−	6.10710i	1.05653	−	0.303464i
$406$	1.99277	−	19.7405i	0.0988996	−	0.979706i
$407$	8.86048	+	15.3468i	0.439198	+	0.760713i
$408$	17.8705	+	8.62665i	0.884722	+	0.427083i
$409$	0.158417	+	0.274386i	0.00783322	+	0.0135675i	0.869915	−	0.493201i	$-0.164173\pi$
$409$	0.158417	+	0.274386i	0.00783322	+	0.0135675i	−0.862082	+	0.506768i	$0.830840\pi$
$410$	−3.97997	+	30.5405i	−0.196557	+	1.50829i
$411$	22.5794	−	11.2608i	1.11376	−	0.555456i
$412$	23.3193	+	23.1972i	1.14886	+	1.14284i
$413$	−8.18279	−	4.41327i	−0.402649	−	0.217163i
$414$	3.81940	−	14.8626i	0.187713	−	0.730458i
$415$	−0.478323	+	0.276160i	−0.0234800	+	0.0135562i
$416$	−7.94884	−	0.993464i	−0.389724	−	0.0487086i
$417$	1.37706	−	22.5560i	0.0674349	−	1.10457i
$418$	7.34109	−	9.59314i	0.359064	−	0.469216i
$419$	8.80022	−	15.2424i	0.429919	−	0.744641i	−0.566947	−	0.823754i	$-0.691876\pi$
$419$	8.80022	−	15.2424i	0.429919	−	0.744641i	0.996866	+	0.0791133i	$0.0252089\pi$
$420$	5.18910	+	21.9221i	0.253202	+	1.06969i
$421$	−11.4743	−	19.8741i	−0.559224	−	0.968605i	−0.997561	−	0.0697943i	$-0.977766\pi$
$421$	−11.4743	−	19.8741i	−0.559224	−	0.968605i	0.438337	−	0.898811i	$-0.355568\pi$
$422$	12.8224	+	1.67099i	0.624185	+	0.0813423i
$423$	10.1793	+	23.9660i	0.494933	+	1.16527i
$424$	−17.9026	+	13.8495i	−0.869426	+	0.672590i
$425$	3.65423	+	2.10977i	0.177256	+	0.102339i
$426$	3.73683	+	3.23905i	0.181050	+	0.156932i
$427$	−0.802333	−	27.6782i	−0.0388276	−	1.33944i
$428$	−16.9349	−	4.49008i	−0.818578	−	0.217036i
$429$	−9.13795	−	0.557879i	−0.441185	−	0.0269347i
$430$	−33.6428	−	25.7450i	−1.62240	−	1.24153i
$431$	11.3929	−	19.7331i	0.548778	−	0.950512i	−0.449580	−	0.893240i	$-0.648426\pi$
$431$	11.3929	−	19.7331i	0.548778	−	0.950512i	0.998359	−	0.0572722i	$-0.0182403\pi$
$432$	−3.67352	+	20.4574i	−0.176742	+	0.984257i
$433$	−25.9567			−1.24740			−0.623700	−	0.781664i	$-0.714371\pi$
$433$	−25.9567			−1.24740			−0.623700	+	0.781664i	$0.714371\pi$
$434$	2.33787	−	23.1591i	0.112221	−	1.11167i
$435$	12.4581	−	18.8268i	0.597322	−	0.902674i
$436$	6.09692	+	22.5174i	0.291989	+	1.07839i
$437$	−7.16832	+	4.13863i	−0.342907	+	0.197977i
$438$	−2.19618	+	0.759703i	−0.104937	+	0.0363000i
$439$	−3.39989	−	1.96293i	−0.162268	−	0.0936854i	0.416667	−	0.909059i	$-0.363198\pi$
$439$	−3.39989	−	1.96293i	−0.162268	−	0.0936854i	−0.578935	+	0.815374i	$0.696531\pi$
$440$	−24.0130	−	9.83592i	−1.14477	−	0.468909i
$441$	9.31553	+	18.8208i	0.443597	+	0.896226i
$442$	−4.92982	+	6.44215i	−0.234488	+	0.306422i
$443$	−5.66882	+	9.81868i	−0.269334	+	0.466500i	−0.968690	−	0.248274i	$-0.920137\pi$
$443$	−5.66882	+	9.81868i	−0.269334	+	0.466500i	0.699356	+	0.714773i	$0.253470\pi$
$444$	3.32301	+	16.1074i	0.157703	+	0.764424i
$445$	12.1383	+	21.0242i	0.575413	+	0.996644i
$446$	7.72086	−	10.0894i	0.365593	−	0.477747i
$447$	−34.4465	+	17.1792i	−1.62927	+	0.812548i
$448$	−20.6328	−	4.72114i	−0.974806	−	0.223053i
$449$		−	15.6718i		−	0.739600i	−0.929111	−	0.369800i	$-0.879426\pi$
$449$		−	15.6718i		−	0.739600i	0.929111	−	0.369800i	$-0.120574\pi$
$450$	−1.10001	+	4.28052i	−0.0518549	+	0.201786i
$451$	−28.6398	−	16.5352i	−1.34860	−	0.778613i
$452$	−18.6339	+	5.04540i	−0.876466	+	0.237316i
$453$	3.49845	−	1.74475i	0.164372	−	0.0819755i
$454$	−13.5401	+	5.62930i	−0.635466	+	0.264196i
$455$	−9.20537	+	0.266844i	−0.431554	+	0.0125098i
$456$	9.26892	−	6.30672i	0.434057	−	0.295339i
$457$	8.74272	−	15.1428i	0.408967	−	0.708352i	−0.585807	−	0.810451i	$-0.699222\pi$
$457$	8.74272	−	15.1428i	0.408967	−	0.708352i	0.994774	+	0.102099i	$0.0325557\pi$
$458$	4.84471	−	2.01420i	0.226379	−	0.0941174i
$459$	16.0092	+	13.6639i	0.747245	+	0.637776i
$460$	12.6060	+	12.5400i	0.587759	+	0.584681i
$461$	2.17782	−	1.25736i	0.101431	−	0.0585613i	−0.448426	−	0.893820i	$-0.648015\pi$
$461$	2.17782	−	1.25736i	0.101431	−	0.0585613i	0.549857	+	0.835259i	$0.314682\pi$
$462$	−23.8744	−	3.89161i	−1.11074	−	0.181054i
$463$	−15.3322	−	8.85204i	−0.712547	−	0.411389i	0.0994566	−	0.995042i	$-0.468290\pi$
$463$	−15.3322	−	8.85204i	−0.712547	−	0.411389i	−0.812003	+	0.583653i	$0.801623\pi$
$464$	10.7017	+	18.3131i	0.496812	+	0.850166i
$465$	14.6156	−	22.0871i	0.677781	−	1.02426i
$466$	12.8618	−	16.8074i	0.595810	−	0.778588i
$467$	11.9222	+	20.6498i	0.551693	+	0.955560i	0.998153	+	0.0607566i	$0.0193514\pi$
$467$	11.9222	+	20.6498i	0.551693	+	0.955560i	−0.446460	+	0.894804i	$0.647315\pi$
$468$	−7.88695	−	3.16044i	−0.364575	−	0.146091i
$469$	13.7679	−	25.5275i	0.635742	−	1.17875i
$470$	−29.9176	−	3.89879i	−1.38000	−	0.179838i
$471$	−2.12538	+	3.21187i	−0.0979322	+	0.147995i
$472$	9.84875	−	1.33608i	0.453325	−	0.0614982i
$473$	39.3937	−	22.7439i	1.81132	−	1.04577i
$474$	3.23248	+	9.34455i	0.148473	+	0.429210i
$475$	2.06451	−	1.19195i	0.0947264	−	0.0546903i
$476$	−14.6694	+	15.6273i	−0.672372	+	0.716274i
$477$	−22.0967	+	9.38531i	−1.01174	+	0.429724i
$478$	2.50179	−	19.1976i	0.114429	−	0.878079i
$479$	1.78481			0.0815499			0.0407750	−	0.999168i	$-0.487017\pi$
$479$	1.78481			0.0815499			0.0407750	+	0.999168i	$0.487017\pi$
$480$	−18.2809	−	15.6784i	−0.834406	−	0.715618i
$481$	−6.72327			−0.306555
$482$	−15.3286	+	6.37288i	−0.698197	+	0.290277i
$483$	14.0820	+	8.74250i	0.640752	+	0.397797i
$484$	4.13511	−	4.15688i	0.187960	−	0.188949i
$485$	−27.7755	+	16.0362i	−1.26122	+	0.728167i
$486$	−9.27942	+	19.9973i	−0.420923	+	0.907096i
$487$	14.2958	+	8.25366i	0.647803	+	0.374009i	0.787614	−	0.616169i	$-0.211316\pi$
$487$	14.2958	+	8.25366i	0.647803	+	0.374009i	−0.139811	+	0.990178i	$0.544649\pi$
$488$	18.1127	+	23.4135i	0.819923	+	1.05988i
$489$	−0.800546	−	0.529742i	−0.0362019	−	0.0239557i
$490$	−24.2705	−	1.74142i	−1.09643	−	0.0786692i
$491$	−16.6450	+	28.8300i	−0.751179	+	1.30108i	0.196072	+	0.980589i	$0.437181\pi$
$491$	−16.6450	+	28.8300i	−0.751179	+	1.30108i	−0.947252	+	0.320491i	$0.896152\pi$
$492$	−20.4001	−	22.9314i	−0.919709	−	1.03383i
$493$	21.4790			0.967366
$494$	1.75939	+	4.23184i	0.0791589	+	0.190399i
$495$	−21.9849	−	16.5591i	−0.988147	−	0.744277i
$496$	12.5549	+	21.4845i	0.563733	+	0.964683i
$497$	−4.54651	+	2.80365i	−0.203939	+	0.125761i
$498$	0.104254	−	0.540447i	0.00467173	−	0.0242180i
$499$			27.9415i			1.25083i	0.780291	+	0.625417i	$0.215071\pi$
$499$			27.9415i			1.25083i	−0.780291	+	0.625417i	$0.784929\pi$
$500$	13.7956	+	13.7233i	0.616956	+	0.613726i
$501$	20.0165	+	1.22202i	0.894272	+	0.0545960i
$502$	23.0438	−	9.58052i	1.02850	−	0.427600i
$503$	−1.00731			−0.0449138			−0.0224569	−	0.999748i	$-0.507149\pi$
$503$	−1.00731			−0.0449138			−0.0224569	+	0.999748i	$0.507149\pi$
$504$	−19.8950	−	10.4014i	−0.886194	−	0.463315i
$505$	13.4729			0.599538
$506$	−17.6296	+	7.32952i	−0.783729	+	0.325837i
$507$	−10.5089	+	15.8811i	−0.466718	+	0.705305i
$508$	−1.32998	−	1.32302i	−0.0590083	−	0.0586994i
$509$		−	5.35143i		−	0.237198i	−0.992942	−	0.118599i	$-0.962160\pi$
$509$		−	5.35143i		−	0.237198i	0.992942	−	0.118599i	$-0.0378403\pi$
$510$	−23.0478	+	7.97273i	−1.02058	+	0.353039i
$511$	−0.0727307	−	2.50900i	−0.00321742	−	0.110992i
$512$	20.8013	−	8.90545i	0.919295	−	0.393569i
$513$	11.2077	−	3.97308i	0.494833	−	0.175416i
$514$	−8.10054	−	19.4841i	−0.357299	−	0.859405i
$515$	−40.4243			−1.78131
$516$	41.3460	−	8.52983i	1.82016	−	0.375505i
$517$	16.1980	−	28.0557i	0.712386	−	1.23389i
$518$	−17.6745	−	1.78422i	−0.776575	−	0.0783939i
$519$	1.12513	−	18.4294i	0.0493878	−	0.808962i
$520$	7.78697	−	6.02401i	0.341481	−	0.264170i
$521$	−0.0326842	−	0.0188702i	−0.00143192	−	0.000826719i	0.499284	−	0.866438i	$-0.333596\pi$
$521$	−0.0326842	−	0.0188702i	−0.00143192	−	0.000826719i	−0.500716	+	0.865612i	$0.666930\pi$
$522$	6.04545	+	21.6699i	0.264602	+	0.948467i
$523$	−22.6882	+	13.0990i	−0.992086	+	0.572781i	−0.905897	−	0.423498i	$-0.860802\pi$
$523$	−22.6882	+	13.0990i	−0.992086	+	0.572781i	−0.0861890	+	0.996279i	$0.527469\pi$
$524$	9.83384	−	9.88560i	0.429593	−	0.431854i
$525$	−4.05569	−	2.51789i	−0.177005	−	0.109890i
$526$	−1.11417	+	0.463217i	−0.0485799	+	0.0201972i
$527$	25.1986			1.09767
$528$	23.0805	−	11.6624i	1.00445	−	0.507541i
$529$	−9.91746			−0.431194
$530$	3.59470	−	27.5842i	0.156144	−	1.19818i
$531$	10.4636	+	1.28240i	0.454080	+	0.0556514i
$532$	3.50216	+	11.5918i	0.151838	+	0.502569i
$533$	10.8658	−	6.27340i	0.470652	−	0.271731i
$534$	−23.7548	−	4.58238i	−1.02797	−	0.198299i
$535$	18.6473	−	10.7660i	0.806191	−	0.465455i
$536$	4.16812	+	30.7247i	0.180035	+	1.32710i
$537$	36.6330	+	2.23647i	1.58083	+	0.0965109i
$538$	11.3183	+	1.47498i	0.487968	+	0.0635908i
$539$	11.7311	−	23.3459i	0.505296	−	1.00558i
$540$	−14.5306	−	21.0087i	−0.625298	−	0.904071i
$541$	3.71877	+	6.44110i	0.159882	+	0.276925i	0.934826	−	0.355106i	$-0.115555\pi$
$541$	3.71877	+	6.44110i	0.159882	+	0.276925i	−0.774944	+	0.632030i	$0.782222\pi$
$542$	−13.4406	+	17.5638i	−0.577324	+	0.754431i
$543$	−12.8234	−	25.7125i	−0.550304	−	1.10343i
$544$	2.84168	−	22.7367i	0.121836	−	0.974828i
$545$	−24.8292	−	14.3351i	−1.06357	−	0.614050i
$546$	5.80758	−	7.10609i	0.248541	−	0.304113i
$547$	−1.62692	+	0.939303i	−0.0695621	+	0.0401617i	−0.534378	−	0.845246i	$-0.679454\pi$
$547$	−1.62692	+	0.939303i	−0.0695621	+	0.0401617i	0.464816	+	0.885408i	$0.346121\pi$
$548$	−20.6556	−	20.5474i	−0.882362	−	0.877742i
$549$	12.2744	+	28.8987i	0.523857	+	1.23336i
$550$	5.07741	−	2.11094i	0.216501	−	0.0900109i
$551$	6.06746	−	10.5091i	0.258482	−	0.447705i
$552$	−17.6712	+	1.30761i	−0.752136	+	0.0556554i
$553$	−10.6756	+	0.309464i	−0.453973	+	0.0131597i
$554$	26.4394	−	10.9922i	1.12330	−	0.467016i
$555$	−16.8564	−	11.1543i	−0.715515	−	0.473474i
$556$	−25.1870	+	6.81973i	−1.06816	+	0.289221i
$557$	8.36838	+	4.83149i	0.354580	+	0.204717i	0.666700	−	0.745326i	$-0.267706\pi$
$557$	8.36838	+	4.83149i	0.354580	+	0.204717i	−0.312121	+	0.950042i	$0.601039\pi$
$558$	7.09237	+	25.4226i	0.300244	+	1.07623i
$559$			17.2579i			0.729932i
$560$	22.0695	−	13.7698i	0.932608	−	0.581880i
$561$	1.59575	−	26.1380i	0.0673725	−	1.10355i
$562$	−5.46362	+	7.13971i	−0.230469	+	0.301171i
$563$	7.44672	+	12.8981i	0.313842	+	0.543590i	0.979191	−	0.202943i	$-0.0650505\pi$
$563$	7.44672	+	12.8981i	0.313842	+	0.543590i	−0.665349	+	0.746533i	$0.731717\pi$
$564$	22.4637	−	19.9841i	0.945893	−	0.841481i
$565$	11.8628	−	20.5470i	0.499072	−	0.864418i
$566$	−8.78930	+	11.4856i	−0.369442	+	0.482777i
$567$	−17.6080	−	16.0299i	−0.739466	−	0.673194i
$568$	2.16444	−	5.28416i	0.0908177	−	0.221718i
$569$	3.30697	+	1.90928i	0.138635	+	0.0800412i	0.567714	−	0.823226i	$-0.307828\pi$
$569$	3.30697	+	1.90928i	0.138635	+	0.0800412i	−0.429078	+	0.903267i	$0.641161\pi$
$570$	−2.60977	+	13.5289i	−0.109311	+	0.566663i
$571$	3.92146	−	2.26406i	0.164108	−	0.0947478i	−0.415697	−	0.909503i	$-0.636462\pi$
$571$	3.92146	−	2.26406i	0.164108	−	0.0947478i	0.579805	+	0.814756i	$0.303129\pi$
$572$	2.76283	+	10.2038i	0.115520	+	0.426643i
$573$	−28.5006	−	1.73998i	−1.19063	−	0.0726888i
$574$	30.2296	−	13.6083i	1.26176	−	0.568001i
$575$	−3.76784			−0.157130
$576$	23.7386	−	3.53249i	0.989109	−	0.147187i
$577$	11.9152	−	20.6378i	0.496038	−	0.859162i	−0.503952	−	0.863732i	$-0.668121\pi$
$577$	11.9152	−	20.6378i	0.496038	−	0.859162i	0.999990	+	0.00456937i	$0.00145448\pi$
$578$	0.665698	+	0.509421i	0.0276894	+	0.0211891i
$579$	22.1472	−	33.4688i	0.920406	−	1.39092i
$580$	−25.1973	−	6.68076i	−1.04626	−	0.277403i
$581$	0.523259	+	0.282212i	0.0217084	+	0.0117081i
$582$	6.05387	−	31.3830i	0.250941	−	1.30087i
$583$	25.8675	+	14.9346i	1.07132	+	0.618527i
$584$	1.64190	+	2.12241i	0.0679422	+	0.0878259i
$585$	9.61127	−	4.08227i	0.397377	−	0.168781i
$586$	−33.4545	−	4.35971i	−1.38199	−	0.180098i
$587$	−8.04599	−	13.9361i	−0.332094	−	0.575203i	0.650829	−	0.759225i	$-0.274422\pi$
$587$	−8.04599	−	13.9361i	−0.332094	−	0.575203i	−0.982922	+	0.184022i	$0.941088\pi$
$588$	17.1531	−	17.1397i	0.707383	−	0.706830i
$589$	7.11819	−	12.3291i	0.293300	−	0.508010i
$590$	−7.42325	+	9.70051i	−0.305610	+	0.399364i
$591$	22.3378	−	11.1403i	0.918854	−	0.458252i
$592$	16.3965	−	9.58166i	0.673894	−	0.393804i
$593$	−21.5747	+	12.4561i	−0.885966	+	0.511513i	−0.872621	−	0.488398i	$-0.837581\pi$
$593$	−21.5747	+	12.4561i	−0.885966	+	0.511513i	−0.0133450	+	0.999911i	$0.504248\pi$
$594$	26.8195	−	5.74683i	1.10042	−	0.235795i
$595$	−0.763275	−	26.3308i	−0.0312912	−	1.07946i
$596$	31.5116	+	31.3466i	1.29076	+	1.28401i
$597$	−0.288206	+	4.72075i	−0.0117955	+	0.193208i
$598$	0.936056	−	7.18288i	0.0382782	−	0.293730i
$599$	−5.20340	−	9.01255i	−0.212605	−	0.368243i	0.739924	−	0.672691i	$-0.234861\pi$
$599$	−5.20340	−	9.01255i	−0.212605	−	0.368243i	−0.952529	+	0.304448i	$0.901528\pi$
$600$	5.08940	−	0.376598i	0.207774	−	0.0153745i
$601$	−19.7275	−	34.1690i	−0.804701	−	1.39378i	−0.916493	−	0.400052i	$-0.868992\pi$
$601$	−19.7275	−	34.1690i	−0.804701	−	1.39378i	0.111791	−	0.993732i	$-0.464341\pi$
$602$	−4.57989	+	45.3687i	−0.186663	+	1.84909i
$603$	−4.00064	+	32.6427i	−0.162919	+	1.32931i
$604$	−3.20037	−	3.18361i	−0.130221	−	0.129539i
$605$			7.20602i			0.292966i
$606$	−8.79404	+	10.1455i	−0.357234	+	0.412134i
$607$			10.3456i			0.419914i	0.977711	+	0.209957i	$0.0673323\pi$
$607$			10.3456i			0.419914i	−0.977711	+	0.209957i	$0.932668\pi$
$608$	−10.3218	−	7.81310i	−0.418603	−	0.316863i
$609$	−24.2875	−	0.777354i	−0.984181	−	0.0315000i
$610$	−36.0753	−	4.70124i	−1.46064	−	0.190348i
$611$	6.14545	+	10.6442i	0.248618	+	0.430620i
$612$	9.04006	−	22.5597i	0.365423	−	0.911921i
$613$	−18.1531	+	31.4421i	−0.733196	+	1.26993i	0.222314	+	0.974975i	$0.428639\pi$
$613$	−18.1531	+	31.4421i	−0.733196	+	1.26993i	−0.955510	+	0.294958i	$0.904694\pi$
$614$	3.50168	+	8.42251i	0.141316	+	0.339905i
$615$	37.6505	+	2.29860i	1.51822	+	0.0926883i
$616$	4.55522	+	27.5576i	0.183535	+	1.11033i
$617$	−5.74103	−	3.31459i	−0.231125	−	0.133440i	0.379966	−	0.925001i	$-0.375936\pi$
$617$	−5.74103	−	3.31459i	−0.231125	−	0.133440i	−0.611091	+	0.791560i	$0.709269\pi$
$618$	26.3857	−	30.4407i	1.06139	−	1.22451i
$619$			38.3693i			1.54219i	0.636717	+	0.771097i	$0.280292\pi$
$619$			38.3693i			1.54219i	−0.636717	+	0.771097i	$0.719708\pi$
$620$	−29.5608	−	7.83770i	−1.18719	−	0.314769i
$621$	−18.4808	−	3.41883i	−0.741609	−	0.137193i
$622$	−0.568455	−	0.435007i	−0.0227930	−	0.0174422i
$623$	12.4044	−	22.9993i	0.496970	−	0.921449i
$624$	−0.546442	+	9.79581i	−0.0218752	+	0.392146i
$625$	−29.1234			−1.16494
$626$	4.63876	−	35.5958i	0.185402	−	1.42270i
$627$	−12.3379	−	8.16430i	−0.492728	−	0.326051i
$628$	4.29869	+	1.13975i	0.171537	+	0.0454808i
$629$		−	19.2311i		−	0.766794i
$630$	26.3501	−	8.18109i	1.04981	−	0.325942i
$631$			24.9683i			0.993973i	0.867758	+	0.496986i	$0.165560\pi$
$631$			24.9683i			0.993973i	−0.867758	+	0.496986i	$0.834440\pi$
$632$	9.03068	−	6.98615i	0.359221	−	0.277894i
$633$	0.965063	−	15.8075i	0.0383578	−	0.628293i
$634$	−33.7458	−	4.39767i	−1.34022	−	0.174654i
$635$	2.30554			0.0914927
$636$	18.4254	+	20.7116i	0.730613	+	0.821269i
$637$	5.44532	+	8.28314i	0.215751	+	0.328190i
$638$	17.0105	−	22.2288i	0.673451	−	0.880047i
$639$	3.64391	−	4.83787i	0.144151	−	0.191383i
$640$	−10.4056	+	25.7888i	−0.411316	+	1.01939i
$641$			7.58006i			0.299394i	0.988732	+	0.149697i	$0.0478299\pi$
$641$			7.58006i			0.299394i	−0.988732	+	0.149697i	$0.952170\pi$
$642$	−4.06430	+	21.0691i	−0.160405	+	0.831531i
$643$	29.8134	+	17.2128i	1.17573	+	0.678806i	0.955022	−	0.296535i	$-0.0958310\pi$
$643$	29.8134	+	17.2128i	1.17573	+	0.678806i	0.220705	+	0.975341i	$0.429164\pi$
$644$	4.36695	−	18.6344i	0.172082	−	0.734298i
$645$	−28.6319	+	43.2686i	−1.12738	+	1.70370i
$646$	−12.1047	+	5.03254i	−0.476251	+	0.198002i
$647$	−18.3282	+	31.7454i	−0.720557	+	1.24804i	0.240220	+	0.970719i	$0.422780\pi$
$647$	−18.3282	+	31.7454i	−0.720557	+	1.24804i	−0.960777	+	0.277323i	$0.910553\pi$
$648$	25.3046	+	2.77080i	0.994058	+	0.108847i
$649$	−6.55794	−	11.3587i	−0.257422	−	0.445868i
$650$	−0.269589	+	2.06871i	−0.0105742	+	0.0811414i
$651$	−28.4935	−	0.911972i	−1.11675	−	0.0357430i
$652$	−0.284077	+	1.07143i	−0.0111253	+	0.0419605i
$653$			14.7474i			0.577110i	0.957463	+	0.288555i	$0.0931748\pi$
$653$			14.7474i			0.577110i	−0.957463	+	0.288555i	$0.906825\pi$
$654$	27.0013	−	9.34031i	1.05583	−	0.365235i
$655$			17.1368i			0.669592i
$656$	−17.5588	+	30.7849i	−0.685557	+	1.20195i
$657$	1.11266	+	2.61964i	0.0434089	+	0.102202i
$658$	13.3308	+	29.6131i	0.519688	+	1.15444i
$659$	−14.0724	−	24.3742i	−0.548184	−	0.949483i	−0.998399	−	0.0565626i	$-0.981986\pi$
$659$	−14.0724	−	24.3742i	−0.548184	−	0.949483i	0.450215	−	0.892920i	$-0.351347\pi$
$660$	−10.0019	+	30.1665i	−0.389322	+	1.17423i
$661$	−0.520581	−	0.901673i	−0.0202483	−	0.0350710i	0.855724	−	0.517433i	$-0.173112\pi$
$661$	−0.520581	−	0.901673i	−0.0202483	−	0.0350710i	−0.875972	+	0.482362i	$0.839779\pi$
$662$	9.40349	+	1.22544i	0.365477	+	0.0476281i
$663$	8.28537	+	5.48264i	0.321777	+	0.212928i
$664$	−0.629790	+	0.0854374i	−0.0244406	+	0.00331562i
$665$	−13.0986	−	7.06456i	−0.507943	−	0.273952i
$666$	19.4020	−	5.41275i	0.751813	−	0.209740i
$667$	−16.6101	+	9.58986i	−0.643147	+	0.371321i
$668$	−6.05193	−	22.3513i	−0.234156	−	0.864797i
$669$	−12.9762	−	8.58666i	−0.501688	−	0.331979i
$670$	−30.2622	−	23.1580i	−1.16913	−	0.894671i
$671$	19.5318	−	33.8301i	0.754018	−	1.30600i
$672$	−4.03613	+	25.6068i	−0.155697	+	0.987805i
$673$	6.14987	+	10.6519i	0.237060	+	0.410600i	0.959869	−	0.280448i	$-0.0904829\pi$
$673$	6.14987	+	10.6519i	0.237060	+	0.410600i	−0.722809	+	0.691047i	$0.757150\pi$
$674$	5.60441	−	43.0058i	0.215874	−	1.65652i
$675$	5.32257	+	0.984641i	0.204866	+	0.0378988i
$676$	21.2549	+	5.63548i	0.817496	+	0.216749i
$677$	8.08976	+	4.67062i	0.310915	+	0.179507i	0.647336	−	0.762205i	$-0.275883\pi$
$677$	8.08976	+	4.67062i	0.310915	+	0.179507i	−0.336421	+	0.941712i	$0.609217\pi$
$678$	7.72942	+	22.3444i	0.296846	+	0.858133i
$679$	30.3849	+	16.3877i	1.16606	+	0.628900i
$680$	17.2310	+	22.2737i	0.660777	+	0.854157i
$681$	8.01515	+	16.0714i	0.307141	+	0.615858i
$682$	19.9563	−	26.0783i	0.764165	−	0.998589i
$683$	−10.8870	+	18.8568i	−0.416578	+	0.721535i	−0.995593	−	0.0937826i	$-0.970104\pi$
$683$	−10.8870	+	18.8568i	−0.416578	+	0.721535i	0.579014	+	0.815317i	$0.303437\pi$
$684$	−8.48422	−	10.7958i	−0.324402	−	0.412788i
$685$	35.8068			1.36811
$686$	12.1168	+	23.2203i	0.462622	+	0.886555i
$687$	−2.86787	−	5.75045i	−0.109416	−	0.219393i
$688$	−24.5951	−	42.0882i	−0.937680	−	1.60460i
$689$	−9.81401	+	5.66612i	−0.373884	+	0.215862i
$690$	14.2637	−	16.4558i	0.543010	−	0.626460i
$691$	−21.1790	−	12.2277i	−0.805689	−	0.465165i	0.0397677	−	0.999209i	$-0.487338\pi$
$691$	−21.1790	−	12.2277i	−0.805689	−	0.465165i	−0.845456	+	0.534044i	$0.820672\pi$
$692$	−20.5791	+	5.57208i	−0.782298	+	0.211819i
$693$	−2.75037	+	29.4980i	−0.104478	+	1.12054i
$694$	−10.1461	−	7.76423i	−0.385140	−	0.294726i
$695$	16.0346	−	27.7728i	0.608228	−	1.05348i
$696$	21.4776	−	14.6137i	0.814105	−	0.553929i
$697$	17.9443	+	31.0804i	0.679689	+	1.17726i
$698$	−24.4845	−	18.7366i	−0.926751	−	0.709190i
$699$	−21.6163	−	14.3041i	−0.817604	−	0.541029i
$700$	−1.25771	+	5.36681i	−0.0475368	+	0.202846i
$701$			10.4921i			0.396279i	0.980174	+	0.198140i	$0.0634900\pi$
$701$			10.4921i			0.396279i	−0.980174	+	0.198140i	$0.936510\pi$
$702$	−3.19939	+	9.90215i	−0.120753	+	0.373733i
$703$	−9.40929	−	5.43246i	−0.354878	−	0.204889i
$704$	−21.2799	−	20.9474i	−0.802017	−	0.789484i
$705$	−2.25171	+	36.8826i	−0.0848045	+	1.38908i
$706$	−6.47249	−	15.5682i	−0.243596	−	0.585915i
$707$	−7.61192	−	12.3438i	−0.286276	−	0.464237i
$708$	−2.45947	−	11.9216i	−0.0924327	−	0.448043i
$709$	−3.34723	+	5.79758i	−0.125708	+	0.217733i	−0.922009	−	0.387167i	$-0.873454\pi$
$709$	−3.34723	+	5.79758i	−0.125708	+	0.217733i	0.796301	+	0.604900i	$0.206787\pi$
$710$	2.69413	+	6.48015i	0.101109	+	0.243196i
$711$	11.1463	−	4.73427i	0.418021	−	0.177549i
$712$	3.75532	+	27.6818i	0.140737	+	1.03742i
$713$	−19.4866	+	11.2506i	−0.729778	+	0.421338i
$714$	20.3261	+	16.6119i	0.760686	+	0.621684i
$715$	−11.2514	−	6.49600i	−0.420779	−	0.242937i
$716$	−11.0759	−	40.9059i	−0.413925	−	1.52873i
$717$	−23.6669	−	1.44489i	−0.883858	−	0.0539603i
$718$	11.5401	+	8.83096i	0.430671	+	0.329569i
$719$	−8.66863	−	15.0145i	−0.323285	−	0.559947i	0.657879	−	0.753124i	$-0.271454\pi$
$719$	−8.66863	−	15.0145i	−0.323285	−	0.559947i	−0.981164	+	0.193177i	$0.938121\pi$
$720$	−17.6219	+	23.6532i	−0.656729	+	0.881504i
$721$	22.8389	+	37.0365i	0.850565	+	1.37931i
$722$	2.51521	−	19.3006i	0.0936065	−	0.718296i
$723$	9.07387	+	18.1943i	0.337461	+	0.676653i
$724$	−23.3986	+	23.5217i	−0.869601	+	0.874178i
$725$	4.78381	−	2.76193i	0.177666	−	0.102576i
$726$	−5.42635	−	4.70351i	−0.201391	−	0.174563i
$727$	18.0236	−	10.4059i	0.668458	−	0.385934i	−0.127034	−	0.991898i	$-0.540546\pi$
$727$	18.0236	−	10.4059i	0.668458	−	0.385934i	0.795492	+	0.605964i	$0.207213\pi$
$728$	−9.91864	−	3.73094i	−0.367609	−	0.138278i
$729$	25.2131	+	9.65908i	0.933820	+	0.357744i
$730$	−3.27019	−	0.426163i	−0.121035	−	0.0157730i
$731$	−49.3642			−1.82580
$732$	27.0872	−	24.0972i	1.00117	−	0.890657i
$733$	1.69574			0.0626336			0.0313168	−	0.999510i	$-0.490030\pi$
$733$	1.69574			0.0626336			0.0313168	+	0.999510i	$0.490030\pi$
$734$	14.8968	+	35.8309i	0.549850	+	1.32254i
$735$	−0.0898687	+	29.8014i	−0.00331486	+	1.09924i
$736$	7.95386	+	18.8515i	0.293183	+	0.694874i
$737$	35.4352	−	20.4585i	1.30527	−	0.753599i
$738$	−26.3061	+	26.8516i	−0.968342	+	0.988423i
$739$	42.4863	+	24.5295i	1.56288	+	0.902331i	0.996963	+	0.0778716i	$0.0248124\pi$
$739$	42.4863	+	24.5295i	1.56288	+	0.902331i	0.565920	+	0.824460i	$0.308521\pi$
$740$	−5.98157	+	22.5602i	−0.219887	+	0.829330i
$741$	5.02299	−	2.50507i	0.184524	−	0.0920261i
$742$	−27.3034	+	12.2910i	−1.00234	+	0.451218i
$743$	13.4749	−	23.3392i	0.494346	−	0.856232i	−0.505633	−	0.862749i	$-0.668741\pi$
$743$	13.4749	−	23.3392i	0.494346	−	0.856232i	0.999979	+	0.00651646i	$0.00207427\pi$
$744$	25.1969	−	17.1444i	0.923765	−	0.628544i
$745$	−54.6258			−2.00133
$746$	6.61441	−	2.74995i	0.242171	−	0.100683i
$747$	−0.669106	−	0.0820046i	−0.0244813	−	0.00300039i
$748$	−29.1868	+	7.90275i	−1.06718	+	0.288953i
$749$	−20.3990	−	11.0019i	−0.745365	−	0.402002i
$750$	15.6097	−	18.0086i	0.569985	−	0.657581i
$751$		−	33.6139i		−	1.22659i	−0.789855	−	0.613294i	$-0.789844\pi$
$751$		−	33.6139i		−	1.22659i	0.789855	−	0.613294i	$-0.210156\pi$
$752$	−30.1570	−	17.2007i	−1.09971	−	0.627245i
$753$	−13.6410	−	27.3520i	−0.497106	−	0.996761i
$754$	4.07680	+	9.80584i	0.148468	+	0.357107i
$755$	5.54789			0.201908
$756$	−11.0386	+	25.1823i	−0.401469	+	0.915873i
$757$	30.1721			1.09662			0.548312	−	0.836274i	$-0.315271\pi$
$757$	30.1721			1.09662			0.548312	+	0.836274i	$0.315271\pi$
$758$	−0.556968	−	1.33967i	−0.0202300	−	0.0486588i
$759$	10.4360	+	20.9255i	0.378802	+	0.759547i
$760$	15.7654	−	2.13874i	0.571872	−	0.0775802i
$761$		−	15.9088i		−	0.576694i	−0.957526	−	0.288347i	$-0.906894\pi$
$761$		−	15.9088i		−	0.576694i	0.957526	−	0.288347i	$-0.0931056\pi$
$762$	−1.50487	+	1.73614i	−0.0545157	+	0.0628938i
$763$	0.894201	+	30.8474i	0.0323722	+	1.11675i
$764$	8.61706	+	31.8249i	0.311754	+	1.15139i
$765$	11.6768	+	27.4919i	0.422177	+	0.993971i
$766$	32.9971	−	13.7186i	1.19223	−	0.495674i
$767$	4.97612			0.179677
$768$	−12.6279	−	24.6685i	−0.455668	−	0.890150i
$769$	−2.11592	+	3.66489i	−0.0763022	+	0.132159i	−0.901652	−	0.432463i	$-0.857645\pi$
$769$	−2.11592	+	3.66489i	−0.0763022	+	0.132159i	0.825350	+	0.564622i	$0.190978\pi$
$770$	−27.8545	−	20.0630i	−1.00381	−	0.723020i
$771$	−23.1267	+	11.5338i	−0.832887	+	0.415378i
$772$	−44.7939	−	11.8766i	−1.61217	−	0.427447i
$773$	24.1708	+	13.9550i	0.869362	+	0.501927i	0.867136	−	0.498071i	$-0.165958\pi$
$773$	24.1708	+	13.9550i	0.869362	+	0.501927i	0.00222598	+	0.999998i	$0.499291\pi$
$774$	−13.8940	−	49.8030i	−0.499408	−	1.79013i
$775$	5.61224	−	3.24023i	0.201598	−	0.116392i
$776$	−36.5710	+	4.96123i	−1.31282	+	0.178098i
$777$	−0.695998	+	21.7457i	−0.0249688	+	0.780122i
$778$	−5.05353	−	12.1551i	−0.181178	−	0.435783i
$779$	20.2758			0.726457
$780$	−8.01436	−	9.00880i	−0.286960	−	0.322567i
$781$	−7.53551			−0.269642
$782$	20.5458	+	2.67747i	0.734715	+	0.0957463i
$783$	25.9701	−	9.20626i	0.928095	−	0.329005i
$784$	−25.0846	−	12.4403i	−0.895879	−	0.444297i
$785$	−4.73336	+	2.73281i	−0.168941	+	0.0975380i
$786$	−12.9046	−	11.1855i	−0.460291	−	0.398975i
$787$	−5.59132	+	3.22815i	−0.199309	+	0.115071i	−0.596333	−	0.802737i	$-0.703376\pi$
$787$	−5.59132	+	3.22815i	−0.199309	+	0.115071i	0.397024	+	0.917808i	$0.370043\pi$
$788$	−20.4345	−	20.3275i	−0.727950	−	0.724138i
$789$	0.659540	+	1.32246i	0.0234802	+	0.0470809i
$790$	−1.81329	+	13.9144i	−0.0645140	+	0.495052i
$791$	−25.5272	+	0.739981i	−0.907644	+	0.0263107i
$792$	−16.1879	−	27.2219i	−0.575210	−	0.967289i
$793$	7.41030	+	12.8350i	0.263148	+	0.455785i
$794$	16.3069	+	12.4788i	0.578712	+	0.442856i
$795$	−34.0059	−	2.07609i	−1.20606	−	0.0736312i
$796$	5.27139	−	1.42731i	0.186840	−	0.0505895i
$797$	29.3156	+	16.9254i	1.03841	+	0.599528i	0.919383	−	0.393363i	$-0.128688\pi$
$797$	29.3156	+	16.9254i	1.03841	+	0.599528i	0.119029	+	0.992891i	$0.462022\pi$
$798$	13.8696	−	5.25249i	0.490977	−	0.185936i
$799$	−30.4465	+	17.5783i	−1.07712	+	0.621876i
$800$	−2.29075	−	5.42932i	−0.0809904	−	0.191956i
$801$	−3.60443	+	29.4099i	−0.127356	+	1.03915i
$802$	9.74924	+	23.4497i	0.344258	+	0.828036i
$803$	1.77054	−	3.06667i	0.0624811	−	0.108220i
$804$	37.1914	−	7.67271i	1.31164	−	0.270596i
$805$	12.3463	+	20.0213i	0.435151	+	0.705660i
$806$	4.78280	+	11.5040i	0.168467	+	0.405210i
$807$	0.851861	−	13.9533i	0.0299869	−	0.491180i
$808$	14.3465	+	5.87646i	0.504709	+	0.206733i
$809$	−6.11435	−	3.53012i	−0.214969	−	0.124112i	0.388650	−	0.921386i	$-0.372942\pi$
$809$	−6.11435	−	3.53012i	−0.214969	−	0.124112i	−0.603619	+	0.797273i	$0.706275\pi$
$810$	−24.4497	+	19.5184i	−0.859075	+	0.685808i
$811$			40.7979i			1.43261i	0.697789	+	0.716304i	$0.254167\pi$
$811$			40.7979i			1.43261i	−0.697789	+	0.716304i	$0.745833\pi$
$812$	8.11507	+	26.8601i	0.284783	+	0.942604i
$813$	22.5892	+	14.9478i	0.792236	+	0.524243i
$814$	−19.9024	−	15.2302i	−0.697579	−	0.533818i
$815$	−0.681141	−	1.17977i	−0.0238593	−	0.0413256i
$816$	−28.0197	−	1.56303i	−0.980887	−	0.0547170i
$817$	−13.9446	+	24.1527i	−0.487858	+	0.844995i
$818$	−0.355836	−	0.272302i	−0.0124415	−	0.00952081i
$819$	−9.17031	−	6.49939i	−0.320437	−	0.227107i
$820$	−11.3835	−	42.0422i	−0.397530	−	1.46818i
$821$	−32.0732	−	18.5175i	−1.11936	−	0.646265i	−0.178125	−	0.984008i	$-0.557003\pi$
$821$	−32.0732	−	18.5175i	−1.11936	−	0.646265i	−0.941238	+	0.337743i	$0.890337\pi$
$822$	−23.3718	+	26.9636i	−0.815184	+	0.940463i
$823$	−10.2150	+	5.89764i	−0.356073	+	0.205579i	−0.667357	−	0.744738i	$-0.732574\pi$
$823$	−10.2150	+	5.89764i	−0.356073	+	0.205579i	0.311284	+	0.950317i	$0.399241\pi$
$824$	−43.0455	−	17.6318i	−1.49956	−	0.614232i
$825$	−3.00562	−	6.02665i	−0.104642	−	0.209821i
$826$	13.0815	+	1.32056i	0.455164	+	0.0459481i
$827$	9.85297			0.342621			0.171311	−	0.985217i	$-0.445200\pi$
$827$	9.85297			0.342621			0.171311	+	0.985217i	$0.445200\pi$
$828$	3.08150	+	21.4820i	0.107090	+	0.746551i
$829$	−6.91019	+	11.9688i	−0.240001	+	0.415693i	−0.960714	−	0.277540i	$-0.910481\pi$
$829$	−6.91019	+	11.9688i	−0.240001	+	0.415693i	0.720713	+	0.693233i	$0.243814\pi$
$830$	0.474689	−	0.620311i	0.0164767	−	0.0215313i
$831$	−15.6510	−	31.3824i	−0.542929	−	1.08864i
$832$	10.9194	−	3.01819i	0.378561	−	0.104637i
$833$	−23.6929	+	15.5757i	−0.820911	+	0.539665i
$834$	10.4476	+	30.2024i	0.361772	+	1.04582i
$835$	24.6460	+	14.2294i	0.852909	+	0.492428i
$836$	−4.37816	+	16.5128i	−0.151422	+	0.571106i
$837$	30.4675	−	10.8006i	1.05311	−	0.373322i
$838$	−3.21651	+	24.6821i	−0.111112	+	0.852628i
$839$	21.5036	+	37.2454i	0.742388	+	1.28585i	0.951405	+	0.307942i	$0.0996402\pi$
$839$	21.5036	+	37.2454i	0.742388	+	1.28585i	−0.209017	+	0.977912i	$0.567026\pi$
$840$	−18.6779	−	25.8097i	−0.644449	−	0.890521i
$841$	−0.440737	+	0.763379i	−0.0151978	+	0.0263234i
$842$	25.7736	+	19.7231i	0.888218	+	0.679703i
$843$	9.18251	+	6.07630i	0.316263	+	0.209279i
$844$	−17.6514	+	4.77936i	−0.607585	+	0.164512i
$845$	−23.4041	+	13.5124i	−0.805126	+	0.464840i
$846$	−26.3040	−	25.7696i	−0.904350	−	0.885977i
$847$	6.60211	−	4.07125i	0.226851	−	0.139890i
$848$	15.8591	−	27.8048i	0.544604	−	0.954822i
$849$	14.7719	+	9.77492i	0.506969	+	0.335474i
$850$	−5.91729	−	0.771127i	−0.202961	−	0.0264494i
$851$	8.58622	+	14.8718i	0.294332	+	0.509797i
$852$	−6.63826	−	2.20095i	−0.227423	−	0.0754034i
$853$	−27.0808	−	46.9054i	−0.927230	−	1.60601i	−0.787935	−	0.615759i	$-0.788849\pi$
$853$	−27.0808	−	46.9054i	−0.927230	−	1.60601i	−0.139296	−	0.990251i	$-0.544484\pi$
$854$	16.0745	+	35.7080i	0.550059	+	1.22190i
$855$	16.7496	+	2.05280i	0.572824	+	0.0702044i
$856$	24.5521	−	3.33075i	0.839175	−	0.113843i
$857$		−	35.0389i		−	1.19691i	−0.801158	−	0.598453i	$-0.795782\pi$
$857$		−	35.0389i		−	1.19691i	0.801158	−	0.598453i	$-0.204218\pi$
$858$	12.2357	−	4.23258i	0.417720	−	0.144498i
$859$			32.4153i			1.10600i	0.833182	+	0.552999i	$0.186517\pi$
$859$			32.4153i			1.10600i	−0.833182	+	0.552999i	$0.813483\pi$
$860$	57.9097	+	15.3541i	1.97471	+	0.523569i
$861$	−19.1658	−	35.7938i	−0.653169	−	1.21985i
$862$	−4.16415	+	31.9539i	−0.141832	+	1.08835i
$863$	0.619701	+	1.07335i	0.0210949	+	0.0365374i	0.876380	−	0.481620i	$-0.159951\pi$
$863$	0.619701	+	1.07335i	0.0210949	+	0.0365374i	−0.855285	+	0.518157i	$0.826618\pi$
$864$	−6.30946	−	28.7087i	−0.214652	−	0.976691i
$865$	13.1011	−	22.6918i	0.445452	−	0.771545i
$866$	33.8956	−	14.0922i	1.15182	−	0.478871i
$867$	0.566547	−	0.856166i	0.0192409	−	0.0290769i
$868$	9.52040	+	31.5116i	0.323143	+	1.06957i
$869$	−13.0484	−	7.53352i	−0.442638	−	0.255557i
$870$	−6.04724	+	31.3486i	−0.205021	+	1.06282i
$871$			15.5238i			0.526003i
$872$	−20.1866	−	26.0943i	−0.683605	−	0.883665i
$873$	−38.8540	−	4.76188i	−1.31501	−	0.161165i
$874$	7.11385	−	9.29619i	0.240630	−	0.314448i
$875$	13.5114	+	21.9106i	0.456768	+	0.740715i
$876$	2.45543	−	2.18439i	0.0829612	−	0.0738036i
$877$	48.0956			1.62407			0.812037	−	0.583606i	$-0.198359\pi$
$877$	48.0956			1.62407			0.812037	+	0.583606i	$0.198359\pi$
$878$	5.50544	+	0.717456i	0.185800	+	0.0242130i
$879$	−2.51792	+	41.2429i	−0.0849272	+	1.39109i
$880$	36.6974	−	0.192652i	1.23707	−	0.00649429i
$881$			5.79121i			0.195111i	0.995230	+	0.0975554i	$0.0311023\pi$
$881$			5.79121i			0.195111i	−0.995230	+	0.0975554i	$0.968898\pi$
$882$	−22.3827	−	19.5196i	−0.753664	−	0.657260i
$883$		−	52.6107i		−	1.77049i	−0.465125	−	0.885245i	$-0.653991\pi$
$883$		−	52.6107i		−	1.77049i	0.465125	−	0.885245i	$-0.346009\pi$
$884$	2.94010	−	11.0889i	0.0988862	−	0.372962i
$885$	12.4760	+	8.25568i	0.419376	+	0.277512i
$886$	2.07197	−	15.8994i	0.0696092	−	0.534151i
$887$	47.6931			1.60138			0.800689	−	0.599080i	$-0.204467\pi$
$887$	47.6931			1.60138			0.800689	+	0.599080i	$0.204467\pi$
$888$	−13.0842	−	19.2298i	−0.439078	−	0.645309i
$889$	−1.30258	−	2.11232i	−0.0436872	−	0.0708451i
$890$	−27.2652	−	20.8645i	−0.913930	−	0.699379i
$891$	−9.27377	−	32.2872i	−0.310683	−	1.08166i
$892$	−4.60465	+	17.3670i	−0.154175	+	0.581490i
$893$			19.8623i			0.664667i
$894$	35.6553	−	41.1349i	1.19249	−	1.37576i
$895$	45.1055	+	26.0417i	1.50771	+	0.870478i
$896$	29.5065	−	5.03663i	0.985742	−	0.168262i
$897$	−8.85510	−	0.540611i	−0.295663	−	0.0180505i
$898$	8.50840	+	20.4651i	0.283929	+	0.682929i
$899$	16.4940	−	28.5684i	0.550105	−	0.952810i
$900$	−0.887489	−	6.18693i	−0.0295830	−	0.206231i
$901$	−16.2073	−	28.0718i	−0.539942	−	0.935207i
$902$	46.3765	+	6.04368i	1.54417	+	0.201232i
$903$	55.8189	+	1.78656i	1.85754	+	0.0594528i
$904$	21.5939	−	16.7051i	0.718203	−	0.555603i
$905$		−	40.7753i		−	1.35542i
$906$	−3.62122	+	4.17773i	−0.120307	+	0.138796i
$907$		−	5.99987i		−	0.199223i	−0.995026	−	0.0996113i	$-0.968240\pi$
$907$		−	5.99987i		−	0.199223i	0.995026	−	0.0996113i	$-0.0317599\pi$
$908$	14.6251	−	14.7021i	0.485351	−	0.487905i
$909$	13.1348	+	9.89323i	0.435655	+	0.328138i
$910$	11.8760	−	5.34615i	0.393685	−	0.177223i
$911$	−8.56559	−	14.8360i	−0.283791	−	0.491540i	0.688525	−	0.725213i	$-0.258259\pi$
$911$	−8.56559	−	14.8360i	−0.283791	−	0.491540i	−0.972315	+	0.233673i	$0.924925\pi$
$912$	−8.67985	+	13.2678i	−0.287419	+	0.439342i
$913$	0.419356	+	0.726346i	0.0138787	+	0.0240385i
$914$	−3.19549	+	24.5208i	−0.105697	+	0.811076i
$915$	−2.71516	+	44.4738i	−0.0897604	+	1.47026i
$916$	−5.23295	+	5.26049i	−0.172901	+	0.173812i
$917$	15.7007	−	9.68196i	0.518482	−	0.319726i
$918$	−28.3239	−	9.15146i	−0.934828	−	0.302043i
$919$	−7.67873	+	4.43332i	−0.253298	+	0.146242i	−0.621273	−	0.783594i	$-0.713384\pi$
$919$	−7.67873	+	4.43332i	−0.253298	+	0.146242i	0.367975	+	0.929836i	$0.380051\pi$
$920$	−23.2697	−	9.53146i	−0.767179	−	0.314243i
$921$	9.99713	−	4.98578i	0.329417	−	0.164287i
$922$	−2.16127	+	2.82429i	−0.0711777	+	0.0930130i
$923$	1.42947	−	2.47592i	0.0470517	−	0.0814959i
$924$	33.2892	−	7.87978i	1.09513	−	0.259226i
$925$	−2.47288	−	4.28315i	−0.0813077	−	0.140829i
$926$	24.8274	+	3.23545i	0.815879	+	0.106323i
$927$	−39.4099	−	29.6837i	−1.29439	−	0.974942i
$928$	−23.9172	−	18.1042i	−0.785120	−	0.594299i
$929$	−9.29468	−	5.36629i	−0.304949	−	0.176062i	0.339715	−	0.940528i	$-0.389669\pi$
$929$	−9.29468	−	5.36629i	−0.304949	−	0.176062i	−0.644664	+	0.764466i	$0.723003\pi$
$930$	−7.09447	+	36.7774i	−0.232637	+	1.20598i
$931$	0.927941	+	15.9922i	0.0304120	+	0.524124i
$932$	−7.67064	+	28.9308i	−0.251260	+	0.947659i
$933$	−0.483788	+	0.731101i	−0.0158385	+	0.0239352i
$934$	−26.7796	−	20.4929i	−0.876256	−	0.670550i
$935$	18.5810	−	32.1833i	0.607665	−	1.05251i
$936$	12.0150	−	0.154843i	0.392723	−	0.00506119i
$937$	−21.5535			−0.704121			−0.352061	−	0.935977i	$-0.614519\pi$
$937$	−21.5535			−0.704121			−0.352061	+	0.935977i	$0.614519\pi$
$938$	−4.11968	+	40.8098i	−0.134512	+	1.33249i
$939$	−43.8827	−	2.67908i	−1.43206	−	0.0874283i
$940$	41.1847	−	11.1514i	1.34330	−	0.363717i
$941$	−8.80806	+	5.08533i	−0.287134	+	0.165777i	−0.636649	−	0.771154i	$-0.719680\pi$
$941$	−8.80806	+	5.08533i	−0.287134	+	0.165777i	0.349514	+	0.936931i	$0.386347\pi$
$942$	1.03167	−	5.34811i	0.0336136	−	0.174251i
$943$	−27.7533	−	16.0234i	−0.903772	−	0.521793i
$944$	−12.1356	+	7.09171i	−0.394981	+	0.230816i
$945$	−12.2087	−	31.5092i	−0.397149	−	1.02499i
$946$	−39.0943	+	51.0874i	−1.27107	+	1.66100i
$947$	3.11631	−	5.39761i	0.101267	−	0.175399i	−0.810940	−	0.585129i	$-0.801044\pi$
$947$	3.11631	−	5.39761i	0.101267	−	0.175399i	0.912207	+	0.409730i	$0.134377\pi$
$948$	−9.29439	−	10.4477i	−0.301868	−	0.339324i
$949$	0.671737	+	1.16348i	0.0218055	+	0.0377682i
$950$	−2.04883	+	2.67735i	−0.0664728	+	0.0868648i
$951$	−2.53983	+	41.6020i	−0.0823598	+	1.34904i
$952$	10.6719	−	28.3711i	0.345878	−	0.919512i
$953$		−	24.0752i		−	0.779871i	−0.920842	−	0.389936i	$-0.872497\pi$
$953$		−	24.0752i		−	0.779871i	0.920842	−	0.389936i	$-0.127503\pi$
$954$	23.7597	−	24.2524i	0.769247	−	0.785199i
$955$	−35.0923	−	20.2605i	−1.13556	−	0.655615i
$956$	7.15563	+	26.4275i	0.231430	+	0.854726i
$957$	−28.5889	−	18.9180i	−0.924147	−	0.611532i
$958$	−2.33069	+	0.968990i	−0.0753013	+	0.0313067i
$959$	−20.2301	−	32.8059i	−0.653263	−	1.05936i
$960$	32.3841	+	10.5488i	1.04519	+	0.340460i
$961$	3.85032	−	6.66896i	0.124204	−	0.215128i
$962$	8.77959	−	3.65013i	0.283065	−	0.117685i
$963$	26.0848	+	3.19692i	0.840572	+	0.103019i
$964$	16.5569	−	16.6441i	0.533263	−	0.536069i
$965$	49.3233	−	28.4768i	1.58777	−	0.916701i
$966$	−23.1354	−	3.77115i	−0.744368	−	0.121335i
$967$	−1.08046	−	0.623806i	−0.0347454	−	0.0200603i	0.482527	−	0.875881i	$-0.339719\pi$
$967$	−1.08046	−	0.623806i	−0.0347454	−	0.0200603i	−0.517272	+	0.855821i	$0.673052\pi$
$968$	−3.14303	+	7.67326i	−0.101021	+	0.246628i
$969$	7.16545	+	14.3677i	0.230188	+	0.461556i
$970$	27.5645	−	36.0205i	0.885043	−	1.15655i
$971$	−7.33316	−	12.7014i	−0.235332	−	0.407608i	0.724037	−	0.689761i	$-0.242285\pi$
$971$	−7.33316	−	12.7014i	−0.235332	−	0.407608i	−0.959369	+	0.282154i	$0.908951\pi$
$972$	1.26081	−	31.1514i	0.0404404	−	0.999182i
$973$	−34.5045	+	1.00021i	−1.10616	+	0.0320653i
$974$	−23.1491	−	3.01674i	−0.741747	−	0.0966626i
$975$	2.55032	+	0.155699i	0.0816755	+	0.00498635i
$976$	−36.3639	−	20.7409i	−1.16398	−	0.663901i
$977$	−36.4261	+	21.0306i	−1.16538	+	0.672830i	−0.952586	−	0.304268i	$-0.901588\pi$
$977$	−36.4261	+	21.0306i	−1.16538	+	0.672830i	−0.212789	+	0.977098i	$0.568255\pi$
$978$	1.33300	+	0.257139i	0.0426245	+	0.00822240i
$979$	31.9258	−	18.4324i	1.02035	−	0.589101i
$980$	32.6390	−	10.9027i	1.04262	−	0.348272i
$981$	−13.6798	−	32.2076i	−0.436762	−	1.02831i
$982$	6.08381	−	46.6845i	0.194142	−	1.48976i
$983$	7.02310			0.224002			0.112001	−	0.993708i	$-0.464274\pi$
$983$	7.02310			0.224002			0.112001	+	0.993708i	$0.464274\pi$
$984$	39.0893	+	18.8696i	1.24612	+	0.601540i
$985$	35.4236			1.12869
$986$	−28.0484	+	11.6612i	−0.893243	+	0.371368i
$987$	35.0638	−	18.7749i	1.11609	−	0.597612i
$988$	−4.59502	−	4.57096i	−0.146187	−	0.145422i
$989$	38.1743	−	22.0399i	1.21387	−	0.700829i
$990$	37.6991	+	9.68793i	1.19816	+	0.307903i
$991$	−34.0177	−	19.6402i	−1.08061	−	0.623890i	−0.149548	−	0.988754i	$-0.547782\pi$
$991$	−34.0177	−	19.6402i	−1.08061	−	0.623890i	−0.931061	+	0.364864i	$0.881115\pi$
$992$	−28.0590	−	21.2394i	−0.890875	−	0.674351i
$993$	0.707742	−	11.5927i	0.0224595	−	0.367883i
$994$	4.41494	−	6.12950i	0.140034	−	0.194416i
$995$	−3.35590	+	5.81258i	−0.106389	+	0.184271i
$996$	0.157274	+	0.762344i	0.00498342	+	0.0241558i
$997$	−4.54078			−0.143808			−0.0719039	−	0.997412i	$-0.522908\pi$
$997$	−4.54078			−0.143808			−0.0719039	+	0.997412i	$0.522908\pi$
$998$	−15.1697	−	36.4874i	−0.480189	−	1.15499i
$999$	−8.24276	−	23.2521i	−0.260789	−	0.735665i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.7	✓	88
3.2	odd	2		756.2.o.a.179.38		88
4.3	odd	2	inner	252.2.o.a.95.21	yes	88
7.2	even	3		252.2.bb.a.23.36	yes	88
9.2	odd	6		252.2.bb.a.11.9	yes	88
9.7	even	3		756.2.bb.a.683.36		88
12.11	even	2		756.2.o.a.179.24		88
21.2	odd	6		756.2.bb.a.611.9		88
28.23	odd	6		252.2.bb.a.23.9	yes	88
36.7	odd	6		756.2.bb.a.683.9		88
36.11	even	6		252.2.bb.a.11.36	yes	88
63.2	odd	6	inner	252.2.o.a.191.21	yes	88
63.16	even	3		756.2.o.a.359.24		88
84.23	even	6		756.2.bb.a.611.36		88
252.79	odd	6		756.2.o.a.359.38		88
252.191	even	6	inner	252.2.o.a.191.7	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.7	✓	88	1.1	even	1	trivial
252.2.o.a.95.21	yes	88	4.3	odd	2	inner
252.2.o.a.191.7	yes	88	252.191	even	6	inner
252.2.o.a.191.21	yes	88	63.2	odd	6	inner
252.2.bb.a.11.9	yes	88	9.2	odd	6
252.2.bb.a.11.36	yes	88	36.11	even	6
252.2.bb.a.23.9	yes	88	28.23	odd	6
252.2.bb.a.23.36	yes	88	7.2	even	3
756.2.o.a.179.24		88	12.11	even	2
756.2.o.a.179.38		88	3.2	odd	2
756.2.o.a.359.24		88	63.16	even	3
756.2.o.a.359.38		88	252.79	odd	6
756.2.bb.a.611.9		88	21.2	odd	6
756.2.bb.a.611.36		88	84.23	even	6
756.2.bb.a.683.9		88	36.7	odd	6
756.2.bb.a.683.36		88	9.7	even	3

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.30585 + 0.542910i) q^{2} +(0.773010 + 1.54999i) q^{3} +(1.41050 - 1.41792i) q^{4} +2.45799i q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.25199 - 1.38871i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(-1.80491 + 2.39631i) q^{9} +O(q^{10})\)	\(q+(-1.30585 + 0.542910i) q^{2} +(0.773010 + 1.54999i) q^{3} +(1.41050 - 1.41792i) q^{4} +2.45799i q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.25199 - 1.38871i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(-1.80491 + 2.39631i) q^{9} +(-1.33447 - 3.20977i) q^{10} +3.73252 q^{11} +(3.28808 + 1.09018i) q^{12} +(-0.708051 + 1.22638i) q^{13} +(-2.18682 + 3.03608i) q^{14} +(-3.80985 + 1.90005i) q^{15} +(-0.0209987 - 3.99994i) q^{16} +(-3.50791 - 2.02529i) q^{17} +(1.05597 - 4.10913i) q^{18} +(-1.98185 + 1.14422i) q^{19} +(3.48523 + 3.46699i) q^{20} +(3.89330 + 2.41707i) q^{21} +(-4.87411 + 2.02642i) q^{22} +3.61698 q^{23} +(-4.88562 + 0.361519i) q^{24} -1.04171 q^{25} +(0.258795 - 1.98588i) q^{26} +(-5.10946 - 0.945216i) q^{27} +(1.20735 - 5.15192i) q^{28} +(-4.59226 + 2.65135i) q^{29} +(3.94354 - 4.54959i) q^{30} +(-5.38753 + 3.11049i) q^{31} +(2.19903 + 5.21193i) q^{32} +(2.88527 + 5.78535i) q^{33} +(5.68037 + 0.740251i) q^{34} +(3.41344 + 5.53538i) q^{35} +(0.851955 + 5.93921i) q^{36} +(2.37386 + 4.11165i) q^{37} +(1.96679 - 2.57015i) q^{38} +(-2.44820 - 0.149465i) q^{39} +(-6.43346 - 2.63520i) q^{40} +(-7.67307 - 4.43005i) q^{41} +(-6.39632 - 1.04262i) q^{42} +(10.5542 - 6.09346i) q^{43} +(5.26470 - 5.29241i) q^{44} +(-5.89010 - 4.43645i) q^{45} +(-4.72324 + 1.96370i) q^{46} +(4.33970 - 7.51657i) q^{47} +(6.18363 - 3.12454i) q^{48} +(3.14296 - 6.25474i) q^{49} +(1.36032 - 0.565555i) q^{50} +(0.427526 - 7.00279i) q^{51} +(0.740207 + 2.73377i) q^{52} +(6.93030 + 4.00121i) q^{53} +(7.18536 - 1.53967i) q^{54} +9.17448i q^{55} +(1.22042 + 7.38313i) q^{56} +(-3.30552 - 2.18735i) q^{57} +(4.55737 - 5.95545i) q^{58} +(-1.75698 - 3.04317i) q^{59} +(-2.67966 + 8.08208i) q^{60} +(5.23289 - 9.06363i) q^{61} +(5.34660 - 6.98679i) q^{62} +(-0.736868 + 7.90298i) q^{63} +(-5.70122 - 5.61213i) q^{64} +(-3.01443 - 1.74038i) q^{65} +(-6.90866 - 5.98836i) q^{66} +(9.49365 - 5.48116i) q^{67} +(-7.81961 + 2.11727i) q^{68} +(2.79596 + 5.60627i) q^{69} +(-7.46266 - 5.37519i) q^{70} -2.01888 q^{71} +(-4.33698 - 7.29319i) q^{72} +(0.474356 - 0.821609i) q^{73} +(-5.33217 - 4.08041i) q^{74} +(-0.805252 - 1.61464i) q^{75} +(-1.17298 + 4.42403i) q^{76} +(8.40560 - 5.18339i) q^{77} +(3.27813 - 1.13398i) q^{78} +(-3.49588 - 2.01835i) q^{79} +(9.83182 - 0.0516145i) q^{80} +(-2.48459 - 8.65025i) q^{81} +(12.4250 + 1.61920i) q^{82} +(0.112352 + 0.194599i) q^{83} +(8.91870 - 2.11112i) q^{84} +(4.97815 - 8.62241i) q^{85} +(-10.4740 + 13.6871i) q^{86} +(-7.65941 - 5.06843i) q^{87} +(-4.00161 + 9.76936i) q^{88} +(8.55343 - 4.93832i) q^{89} +(10.1002 + 2.59555i) q^{90} +(0.108562 + 3.74508i) q^{91} +(5.10174 - 5.12859i) q^{92} +(-8.98583 - 5.94615i) q^{93} +(-1.58617 + 12.1716i) q^{94} +(-2.81249 - 4.87137i) q^{95} +(-6.37855 + 7.43735i) q^{96} +(6.52412 + 11.3001i) q^{97} +(-0.708472 + 9.87411i) q^{98} +(-6.73686 + 8.94426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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