LMFDB - Embedded newform 252.2.bj.b.103.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (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:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.18
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.379891 + 1.36223i) q^{2} +(1.39755 + 1.02316i) q^{3} +(-1.71137 - 1.03500i) q^{4} +(-2.34739 + 1.35527i) q^{5} +(-1.92470 + 1.51511i) q^{6} +(1.09995 + 2.40626i) q^{7} +(2.06005 - 1.93809i) q^{8} +(0.906301 + 2.85983i) q^{9} +O(q^{10})$	\(q+(-0.379891 + 1.36223i) q^{2} +(1.39755 + 1.02316i) q^{3} +(-1.71137 - 1.03500i) q^{4} +(-2.34739 + 1.35527i) q^{5} +(-1.92470 + 1.51511i) q^{6} +(1.09995 + 2.40626i) q^{7} +(2.06005 - 1.93809i) q^{8} +(0.906301 + 2.85983i) q^{9} +(-0.954438 - 3.71255i) q^{10} +(-3.92695 - 2.26722i) q^{11} +(-1.33275 - 3.19746i) q^{12} +(1.85139 + 1.06890i) q^{13} +(-3.69576 + 0.584274i) q^{14} +(-4.66725 - 0.507693i) q^{15} +(1.85755 + 3.54253i) q^{16} +(-5.38138 + 3.10694i) q^{17} +(-4.24005 + 0.148171i) q^{18} +(0.634425 - 1.09886i) q^{19} +(5.41994 + 0.110195i) q^{20} +(-0.924746 + 4.48830i) q^{21} +(4.58030 - 4.48813i) q^{22} +(7.14959 - 4.12782i) q^{23} +(4.86200 - 0.600836i) q^{24} +(1.17349 - 2.03254i) q^{25} +(-2.15941 + 2.11596i) q^{26} +(-1.65945 + 4.92405i) q^{27} +(0.608066 - 5.25645i) q^{28} +(3.10948 + 5.38578i) q^{29} +(2.46464 - 6.16502i) q^{30} +2.80368 q^{31} +(-5.53142 + 1.18464i) q^{32} +(-3.16839 - 7.18644i) q^{33} +(-2.18804 - 8.51100i) q^{34} +(-5.84314 - 4.15771i) q^{35} +(1.40891 - 5.83223i) q^{36} +(1.47631 - 2.55705i) q^{37} +(1.25589 + 1.28168i) q^{38} +(1.49376 + 3.38810i) q^{39} +(-2.20910 + 7.34137i) q^{40} +(5.01860 + 2.89749i) q^{41} +(-5.76282 - 2.96479i) q^{42} +(1.36962 - 0.790750i) q^{43} +(4.37386 + 7.94444i) q^{44} +(-6.00327 - 5.48485i) q^{45} +(2.90699 + 11.3075i) q^{46} +8.56470 q^{47} +(-1.02855 + 6.85143i) q^{48} +(-4.58021 + 5.29355i) q^{49} +(2.32300 + 2.37071i) q^{50} +(-10.6996 - 1.16388i) q^{51} +(-2.06209 - 3.74546i) q^{52} +(-1.70345 - 2.95046i) q^{53} +(-6.07729 - 4.13116i) q^{54} +12.2908 q^{55} +(6.92952 + 2.82521i) q^{56} +(2.01094 - 0.886592i) q^{57} +(-8.51795 + 2.18983i) q^{58} +4.01854 q^{59} +(7.46190 + 5.69945i) q^{60} +4.50965i q^{61} +(-1.06509 + 3.81926i) q^{62} +(-5.88462 + 5.32647i) q^{63} +(0.487582 - 7.98513i) q^{64} -5.79456 q^{65} +(10.9933 - 1.58602i) q^{66} -8.13154i q^{67} +(12.4252 + 0.252620i) q^{68} +(14.2153 + 1.54631i) q^{69} +(7.88353 - 6.38025i) q^{70} +7.04037i q^{71} +(7.40964 + 4.13488i) q^{72} +(9.12307 - 5.26721i) q^{73} +(2.92246 + 2.98248i) q^{74} +(3.71962 - 1.63992i) q^{75} +(-2.22305 + 1.22391i) q^{76} +(1.13609 - 11.9431i) q^{77} +(-5.18285 + 0.747740i) q^{78} -2.64972i q^{79} +(-9.16145 - 5.79823i) q^{80} +(-7.35724 + 5.18373i) q^{81} +(-5.85358 + 5.73578i) q^{82} +(0.131722 + 0.228149i) q^{83} +(6.22797 - 6.72401i) q^{84} +(8.42146 - 14.5864i) q^{85} +(0.556881 + 2.16614i) q^{86} +(-1.16484 + 10.7084i) q^{87} +(-12.4838 + 2.94021i) q^{88} +(2.21148 + 1.27680i) q^{89} +(9.75224 - 6.09421i) q^{90} +(-0.535616 + 5.63066i) q^{91} +(-16.5079 - 0.335626i) q^{92} +(3.91828 + 2.86860i) q^{93} +(-3.25365 + 11.6671i) q^{94} +3.43926i q^{95} +(-8.94252 - 4.00392i) q^{96} +(-13.4397 + 7.75940i) q^{97} +(-5.47107 - 8.25030i) q^{98} +(2.92488 - 13.2852i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.379891	+	1.36223i	−0.268623	+	0.963245i
$2$	−0.379891	+	1.36223i	−0.268623	+	0.963245i
$3$	1.39755	+	1.02316i	0.806877	+	0.590720i
$3$	1.39755	+	1.02316i	0.806877	+	0.590720i
$4$	−1.71137	−	1.03500i	−0.855683	−	0.517500i
$5$	−2.34739	+	1.35527i	−1.04978	+	0.606093i	−0.922589	−	0.385785i	$-0.873931\pi$
$5$	−2.34739	+	1.35527i	−1.04978	+	0.606093i	−0.127195	+	0.991878i	$0.540597\pi$
$6$	−1.92470	+	1.51511i	−0.785754	+	0.618539i
$7$	1.09995	+	2.40626i	0.415743	+	0.909482i
$7$	1.09995	+	2.40626i	0.415743	+	0.909482i
$8$	2.06005	−	1.93809i	0.728336	−	0.685220i
$9$	0.906301	+	2.85983i	0.302100	+	0.953276i
$10$	−0.954438	−	3.71255i	−0.301820	−	1.17401i
$11$	−3.92695	−	2.26722i	−1.18402	−	0.683594i	−0.227078	−	0.973877i	$-0.572917\pi$
$11$	−3.92695	−	2.26722i	−1.18402	−	0.683594i	−0.956941	+	0.290283i	$0.906251\pi$
$12$	−1.33275	−	3.19746i	−0.384733	−	0.923028i
$13$	1.85139	+	1.06890i	0.513482	+	0.296459i	0.734264	−	0.678864i	$-0.237528\pi$
$13$	1.85139	+	1.06890i	0.513482	+	0.296459i	−0.220782	+	0.975323i	$0.570861\pi$
$14$	−3.69576	+	0.584274i	−0.987733	+	0.156154i
$15$	−4.66725	−	0.507693i	−1.20508	−	0.131086i
$16$	1.85755	+	3.54253i	0.464386	+	0.885633i
$17$	−5.38138	+	3.10694i	−1.30518	+	0.753544i	−0.981287	−	0.192551i	$-0.938324\pi$
$17$	−5.38138	+	3.10694i	−1.30518	+	0.753544i	−0.323889	+	0.946095i	$0.604990\pi$
$18$	−4.24005	+	0.148171i	−0.999390	+	0.0349243i
$19$	0.634425	−	1.09886i	0.145547	−	0.252095i	−0.784030	−	0.620723i	$-0.786839\pi$
$19$	0.634425	−	1.09886i	0.145547	−	0.252095i	0.929577	+	0.368628i	$0.120172\pi$
$20$	5.41994	+	0.110195i	1.21194	+	0.0246402i
$21$	−0.924746	+	4.48830i	−0.201796	+	0.979428i
$22$	4.58030	−	4.48813i	0.976524	−	0.956872i
$23$	7.14959	−	4.12782i	1.49079	−	0.860709i	0.490848	−	0.871245i	$-0.336687\pi$
$23$	7.14959	−	4.12782i	1.49079	−	0.860709i	0.999944	+	0.0105358i	$0.00335371\pi$
$24$	4.86200	−	0.600836i	0.992451	−	0.122645i
$25$	1.17349	−	2.03254i	0.234698	−	0.406508i
$26$	−2.15941	+	2.11596i	−0.423496	+	0.414973i
$27$	−1.65945	+	4.92405i	−0.319361	+	0.947633i
$28$	0.608066	−	5.25645i	0.114914	−	0.993375i
$29$	3.10948	+	5.38578i	0.577416	+	1.00011i	0.995775	+	0.0918317i	$0.0292722\pi$
$29$	3.10948	+	5.38578i	0.577416	+	1.00011i	−0.418359	+	0.908282i	$0.637394\pi$
$30$	2.46464	−	6.16502i	0.449980	−	1.12557i
$31$	2.80368			0.503555			0.251778	−	0.967785i	$-0.418985\pi$
$31$	2.80368			0.503555			0.251778	+	0.967785i	$0.418985\pi$
$32$	−5.53142	+	1.18464i	−0.977827	+	0.209416i
$33$	−3.16839	−	7.18644i	−0.551545	−	1.25100i
$34$	−2.18804	−	8.51100i	−0.375247	−	1.45962i
$35$	−5.84314	−	4.15771i	−0.987671	−	0.702781i
$36$	1.40891	−	5.83223i	0.234819	−	0.972039i
$37$	1.47631	−	2.55705i	0.242704	−	0.420376i	−0.718779	−	0.695238i	$-0.755299\pi$
$37$	1.47631	−	2.55705i	0.242704	−	0.420376i	0.961484	+	0.274862i	$0.0886322\pi$
$38$	1.25589	+	1.28168i	0.203732	+	0.207916i
$39$	1.49376	+	3.38810i	0.239193	+	0.542530i
$40$	−2.20910	+	7.34137i	−0.349289	+	1.16077i
$41$	5.01860	+	2.89749i	0.783773	+	0.452512i	0.837766	−	0.546030i	$-0.183861\pi$
$41$	5.01860	+	2.89749i	0.783773	+	0.452512i	−0.0539925	+	0.998541i	$0.517195\pi$
$42$	−5.76282	−	2.96479i	−0.889222	−	0.457476i
$43$	1.36962	−	0.790750i	0.208865	−	0.120588i	−0.391919	−	0.920000i	$-0.628189\pi$
$43$	1.36962	−	0.790750i	0.208865	−	0.120588i	0.600784	+	0.799412i	$0.294855\pi$
$44$	4.37386	+	7.94444i	0.659385	+	1.19767i
$45$	−6.00327	−	5.48485i	−0.894914	−	0.817633i
$46$	2.90699	+	11.3075i	0.428613	+	1.66721i
$47$	8.56470			1.24929			0.624645	−	0.780909i	$-0.285244\pi$
$47$	8.56470			1.24929			0.624645	+	0.780909i	$0.285244\pi$
$48$	−1.02855	+	6.85143i	−0.148458	+	0.988919i
$49$	−4.58021	+	5.29355i	−0.654316	+	0.756221i
$50$	2.32300	+	2.37071i	0.328522	+	0.335269i
$51$	−10.6996	−	1.16388i	−1.49825	−	0.162976i
$52$	−2.06209	−	3.74546i	−0.285960	−	0.519402i
$53$	−1.70345	−	2.95046i	−0.233987	−	0.405278i	0.724991	−	0.688759i	$-0.241844\pi$
$53$	−1.70345	−	2.95046i	−0.233987	−	0.405278i	−0.958978	+	0.283481i	$0.908511\pi$
$54$	−6.07729	−	4.13116i	−0.827015	−	0.562180i
$55$	12.2908			1.65729
$56$	6.92952	+	2.82521i	0.925996	+	0.377534i
$57$	2.01094	−	0.886592i	0.266356	−	0.117432i
$58$	−8.51795	+	2.18983i	−1.11846	+	0.287539i
$59$	4.01854			0.523169			0.261584	−	0.965181i	$-0.415755\pi$
$59$	4.01854			0.523169			0.261584	+	0.965181i	$0.415755\pi$
$60$	7.46190	+	5.69945i	0.963327	+	0.735796i
$61$			4.50965i			0.577401i	0.957419	+	0.288701i	$0.0932232\pi$
$61$			4.50965i			0.577401i	−0.957419	+	0.288701i	$0.906777\pi$
$62$	−1.06509	+	3.81926i	−0.135267	+	0.485047i
$63$	−5.88462	+	5.32647i	−0.741392	+	0.671072i
$64$	0.487582	−	7.98513i	0.0609477	−	0.998141i
$65$	−5.79456			−0.718727
$66$	10.9933	−	1.58602i	1.35318	−	0.195226i
$67$		−	8.13154i		−	0.993425i	−0.867915	−	0.496713i	$-0.834540\pi$
$67$		−	8.13154i		−	0.993425i	0.867915	−	0.496713i	$-0.165460\pi$
$68$	12.4252	+	0.252620i	1.50678	+	0.0306347i
$69$	14.2153	+	1.54631i	1.71132	+	0.186154i
$70$	7.88353	−	6.38025i	0.942262	−	0.762586i
$71$			7.04037i			0.835539i	0.908553	+	0.417769i	$0.137188\pi$
$71$			7.04037i			0.835539i	−0.908553	+	0.417769i	$0.862812\pi$
$72$	7.40964	+	4.13488i	0.873234	+	0.487301i
$73$	9.12307	−	5.26721i	1.06777	−	0.616480i	0.140202	−	0.990123i	$-0.455225\pi$
$73$	9.12307	−	5.26721i	1.06777	−	0.616480i	0.927573	+	0.373643i	$0.121891\pi$
$74$	2.92246	+	2.98248i	0.339729	+	0.346706i
$75$	3.71962	−	1.63992i	0.429505	−	0.189362i
$76$	−2.22305	+	1.22391i	−0.255001	+	0.140393i
$77$	1.13609	−	11.9431i	0.129469	−	1.36104i
$78$	−5.18285	+	0.747740i	−0.586842	+	0.0846648i
$79$		−	2.64972i		−	0.298117i	−0.988828	−	0.149058i	$-0.952376\pi$
$79$		−	2.64972i		−	0.298117i	0.988828	−	0.149058i	$-0.0476242\pi$
$80$	−9.16145	−	5.79823i	−1.02428	−	0.648262i
$81$	−7.35724	+	5.18373i	−0.817471	+	0.575970i
$82$	−5.85358	+	5.73578i	−0.646420	+	0.633411i
$83$	0.131722	+	0.228149i	0.0144584	+	0.0250426i	0.873164	−	0.487426i	$-0.162064\pi$
$83$	0.131722	+	0.228149i	0.0144584	+	0.0250426i	−0.858706	+	0.512469i	$0.828731\pi$
$84$	6.22797	−	6.72401i	0.679528	−	0.733650i
$85$	8.42146	−	14.5864i	0.913435	−	1.58212i
$86$	0.556881	+	2.16614i	0.0600500	+	0.233581i
$87$	−1.16484	+	10.7084i	−0.124883	+	1.14806i
$88$	−12.4838	+	2.94021i	−1.33078	+	0.313427i
$89$	2.21148	+	1.27680i	0.234416	+	0.135340i	0.612608	−	0.790387i	$-0.290121\pi$
$89$	2.21148	+	1.27680i	0.234416	+	0.135340i	−0.378191	+	0.925727i	$0.623454\pi$
$90$	9.75224	−	6.09421i	1.02798	−	0.642386i
$91$	−0.535616	+	5.63066i	−0.0561479	+	0.590254i
$92$	−16.5079	−	0.335626i	−1.72106	−	0.0349915i
$93$	3.91828	+	2.86860i	0.406307	+	0.297460i
$94$	−3.25365	+	11.6671i	−0.335588	+	1.20337i
$95$			3.43926i			0.352860i
$96$	−8.94252	−	4.00392i	−0.912692	−	0.408648i
$97$	−13.4397	+	7.75940i	−1.36459	+	0.787848i	−0.990231	−	0.139436i	$-0.955471\pi$
$97$	−13.4397	+	7.75940i	−1.36459	+	0.787848i	−0.374361	+	0.927283i	$0.622138\pi$
$98$	−5.47107	−	8.25030i	−0.552662	−	0.833406i
$99$	2.92488	−	13.2852i	0.293961	−	1.33521i
$100$	−4.11195	+	2.26386i	−0.411195	+	0.226386i
$101$	0.728797	+	0.420771i	0.0725180	+	0.0418683i	0.535821	−	0.844332i	$-0.320002\pi$
$101$	0.728797	+	0.420771i	0.0725180	+	0.0418683i	−0.463303	+	0.886200i	$0.653336\pi$
$102$	5.65018	−	14.1333i	0.559451	−	1.39940i
$103$	2.60619	+	4.51406i	0.256796	+	0.444784i	0.965382	−	0.260841i	$-0.0839998\pi$
$103$	2.60619	+	4.51406i	0.256796	+	0.444784i	−0.708586	+	0.705625i	$0.750667\pi$
$104$	5.88557	−	1.38618i	0.577127	−	0.135926i
$105$	−3.91210	−	11.7891i	−0.381782	−	1.15049i
$106$	4.66635	−	1.19965i	0.453236	−	0.116520i
$107$	−11.1755	−	6.45219i	−1.08038	−	0.623757i	−0.149380	−	0.988780i	$-0.547728\pi$
$107$	−11.1755	−	6.45219i	−1.08038	−	0.623757i	−0.930998	+	0.365023i	$0.881061\pi$
$108$	7.93632	−	6.70931i	0.763673	−	0.645604i
$109$	−6.22438	−	10.7809i	−0.596188	−	1.03263i	−0.993378	−	0.114891i	$-0.963348\pi$
$109$	−6.22438	−	10.7809i	−0.596188	−	1.03263i	0.397190	−	0.917736i	$-0.369985\pi$
$110$	−4.66915	+	16.7429i	−0.445186	+	1.59637i
$111$	4.67948	−	2.06311i	0.444157	−	0.195821i
$112$	−6.48105	+	8.36636i	−0.612402	+	0.790547i
$113$	−0.428504	+	0.742191i	−0.0403103	+	0.0698194i	−0.885477	−	0.464684i	$-0.846168\pi$
$113$	−0.428504	+	0.742191i	−0.0403103	+	0.0698194i	0.845166	+	0.534503i	$0.179501\pi$
$114$	0.443807	+	3.07619i	0.0415664	+	0.288111i
$115$	−11.1886	+	19.3792i	−1.04334	+	1.80712i
$116$	0.252827	−	12.4353i	0.0234744	−	1.15459i
$117$	−1.37895	+	6.26339i	−0.127484	+	0.579051i
$118$	−1.52661	+	5.47419i	−0.140535	+	0.503940i
$119$	−13.3954	−	9.53153i	−1.22795	−	0.873754i
$120$	−10.5987	+	7.99969i	−0.967524	+	0.730268i
$121$	4.78061	+	8.28026i	0.434601	+	0.752751i
$122$	−6.14320	−	1.71317i	−0.556179	−	0.155103i
$123$	4.04916	+	9.18420i	0.365101	+	0.828112i
$124$	−4.79812	−	2.90181i	−0.430883	−	0.260590i
$125$		−	7.19110i		−	0.643191i
$126$	−5.02039	−	10.0397i	−0.447252	−	0.894408i
$127$		−	1.79431i		−	0.159220i	−0.996826	−	0.0796098i	$-0.974633\pi$
$127$		−	1.79431i		−	0.159220i	0.996826	−	0.0796098i	$-0.0253674\pi$
$128$	10.6924	+	3.69768i	0.945083	+	0.326832i
$129$	2.72317	+	0.296221i	0.239762	+	0.0260808i
$130$	2.20130	−	7.89355i	0.193067	−	0.692310i
$131$	−4.29806	−	7.44445i	−0.375523	−	0.650425i	0.614882	−	0.788619i	$-0.289204\pi$
$131$	−4.29806	−	7.44445i	−0.375523	−	0.650425i	−0.990405	+	0.138194i	$0.955870\pi$
$132$	−2.01571	+	15.5779i	−0.175445	+	1.35588i
$133$	3.34198	+	0.317905i	0.289786	+	0.0275659i
$134$	11.0771	+	3.08910i	0.956912	+	0.266857i
$135$	−2.77801	−	13.8076i	−0.239093	−	1.18837i
$136$	−5.06435	+	16.8301i	−0.434264	+	1.44317i
$137$	5.11201	−	8.85426i	0.436748	−	0.756470i	−0.560688	−	0.828027i	$-0.689463\pi$
$137$	5.11201	−	8.85426i	0.436748	−	0.756470i	0.997437	+	0.0715568i	$0.0227967\pi$
$138$	−7.50671	+	18.7772i	−0.639014	+	1.59842i
$139$	−0.0394811	+	0.0683833i	−0.00334875	+	0.00580020i	−0.867695	−	0.497097i	$-0.834399\pi$
$139$	−0.0394811	+	0.0683833i	−0.00334875	+	0.00580020i	0.864346	+	0.502897i	$0.167733\pi$
$140$	5.69652	+	13.1630i	0.481443	+	1.11248i
$141$	11.9696	+	8.76303i	1.00802	+	0.737980i
$142$	−9.59064	−	2.67457i	−0.804829	−	0.224445i
$143$	−4.84686	−	8.39501i	−0.405315	−	0.702026i
$144$	−8.44753	+	8.52286i	−0.703961	+	0.710238i
$145$	−14.5983	−	8.42834i	−1.21232	−	0.699936i
$146$	3.70940	+	14.4287i	0.306992	+	1.19413i
$147$	−11.8172	+	2.71173i	−0.974667	+	0.223660i
$148$	−5.17306	+	2.84806i	−0.425223	+	0.234109i
$149$	−8.88595	−	15.3909i	−0.727966	−	1.26087i	−0.957742	−	0.287630i	$-0.907133\pi$
$149$	−8.88595	−	15.3909i	−0.727966	−	1.26087i	0.229776	−	0.973244i	$-0.426201\pi$
$150$	0.820905	+	5.68999i	0.0670266	+	0.464585i
$151$	−3.91349	−	2.25945i	−0.318475	−	0.183872i	0.332238	−	0.943196i	$-0.392196\pi$
$151$	−3.91349	−	2.25945i	−0.318475	−	0.183872i	−0.650713	+	0.759324i	$0.725530\pi$
$152$	−0.822742	−	3.49327i	−0.0667332	−	0.283342i
$153$	−13.7625	−	12.5740i	−1.11263	−	1.01655i
$154$	15.8377	+	6.08470i	1.27624	+	0.490319i
$155$	−6.58132	+	3.79973i	−0.528624	+	0.305201i
$156$	0.950320	−	7.34432i	0.0760865	−	0.588016i
$157$			10.0523i			0.802257i	0.916022	+	0.401129i	$0.131382\pi$
$157$			10.0523i			0.802257i	−0.916022	+	0.401129i	$0.868618\pi$
$158$	3.60954	+	1.00660i	0.287159	+	0.0800811i
$159$	0.638126	−	5.86633i	0.0506067	−	0.465230i
$160$	11.3789	−	10.2774i	0.899581	−	0.812496i
$161$	17.7968	+	12.6634i	1.40259	+	0.998016i
$162$	−4.26651	−	11.9915i	−0.335208	−	0.942144i
$163$	−13.5307	−	7.81195i	−1.05981	−	0.611879i	−0.134427	−	0.990923i	$-0.542919\pi$
$163$	−13.5307	−	7.81195i	−1.05981	−	0.611879i	−0.925379	+	0.379044i	$0.876253\pi$
$164$	−5.58975	−	10.1529i	−0.436486	−	0.792810i
$165$	17.1770	+	12.5754i	1.33723	+	0.978992i
$166$	−0.360832	+	0.0927644i	−0.0280060	+	0.00719991i
$167$	6.38841	−	11.0650i	0.494350	−	0.856239i	−0.505629	−	0.862751i	$-0.668740\pi$
$167$	6.38841	−	11.0650i	0.494350	−	0.856239i	0.999979	+	0.00651214i	$0.00207289\pi$
$168$	6.79373	+	11.0384i	0.524148	+	0.851627i
$169$	−4.21491	−	7.30044i	−0.324224	−	0.561573i
$170$	16.6709	+	17.0132i	1.27860	+	1.30486i
$171$	3.71752	+	0.818453i	0.284286	+	0.0625886i
$172$	−3.16234	−	0.0642946i	−0.241127	−	0.00490242i
$173$			3.73481i			0.283953i	0.989870	+	0.141976i	$0.0453457\pi$
$173$			3.73481i			0.283953i	−0.989870	+	0.141976i	$0.954654\pi$
$174$	−14.1448	−	5.65480i	−1.07232	−	0.428689i
$175$	6.18161	+	0.588026i	0.467286	+	0.0444506i
$176$	0.737225	−	18.1228i	0.0555705	−	1.36606i
$177$	5.61611	+	4.11159i	0.422133	+	0.309046i
$178$	−2.57942	+	2.52751i	−0.193336	+	0.189445i
$179$	19.9897	−	11.5410i	1.49410	−	0.862618i	0.494121	−	0.869393i	$-0.335490\pi$
$179$	19.9897	−	11.5410i	1.49410	−	0.862618i	0.999977	+	0.00677562i	$0.00215676\pi$
$180$	4.59696	+	15.6000i	0.342637	+	1.16275i
$181$			4.48155i			0.333111i	0.986032	+	0.166555i	$0.0532644\pi$
$181$			4.48155i			0.333111i	−0.986032	+	0.166555i	$0.946736\pi$
$182$	−7.46680	−	2.86867i	−0.553476	−	0.212640i
$183$	−4.61408	+	6.30247i	−0.341082	+	0.465892i
$184$	6.72839	−	22.3601i	0.496023	−	1.64841i
$185$			8.00318i			0.588405i
$186$	−5.39623	+	4.24786i	−0.395670	+	0.311468i
$187$	28.1765			2.06047
$188$	−14.6573	−	8.86447i	−1.06900	−	0.646508i
$189$	−13.6739	+	1.42313i	−0.994628	+	0.103518i
$190$	−4.68508	−	1.30654i	−0.339891	−	0.0947866i
$191$			12.3313i			0.892262i	0.894968	+	0.446131i	$0.147199\pi$
$191$			12.3313i			0.892262i	−0.894968	+	0.446131i	$0.852801\pi$
$192$	8.85146	−	10.6608i	0.638799	−	0.769374i
$193$	12.8533			0.925198			0.462599	−	0.886568i	$-0.346917\pi$
$193$	12.8533			0.925198			0.462599	+	0.886568i	$0.346917\pi$
$194$	−5.46451	−	21.2557i	−0.392329	−	1.52607i
$195$	−8.09820	−	5.92875i	−0.579924	−	0.424566i
$196$	13.3172	−	4.31867i	0.951232	−	0.308477i
$197$	−10.1752			−0.724956			−0.362478	−	0.931992i	$-0.618069\pi$
$197$	−10.1752			−0.724956			−0.362478	+	0.931992i	$0.618069\pi$
$198$	16.9864	+	9.03129i	1.20717	+	0.641826i
$199$	4.82735	+	8.36121i	0.342202	+	0.592711i	0.984841	−	0.173458i	$-0.0554940\pi$
$199$	4.82735	+	8.36121i	0.342202	+	0.592711i	−0.642640	+	0.766169i	$0.722161\pi$
$200$	−1.52182	−	6.46146i	−0.107609	−	0.456894i
$201$	8.31984	−	11.3642i	0.586836	−	0.801572i
$202$	−0.850052	+	0.832945i	−0.0598094	+	0.0586058i
$203$	−9.53932	+	13.4063i	−0.669529	+	0.940939i
$204$	17.1064	+	13.0660i	1.19769	+	0.914801i
$205$	−15.7075			−1.09706
$206$	−7.13928	+	1.83540i	−0.497417	+	0.127878i
$207$	18.2845	+	16.7056i	1.27086	+	1.16112i
$208$	−0.347570	+	8.54412i	−0.0240996	+	0.592428i
$209$	−4.98271	+	2.87677i	−0.344661	+	0.198990i
$210$	17.5456	−	0.850641i	1.21076	−	0.0586998i
$211$	−0.112760	−	0.0651019i	−0.00776270	−	0.00448180i	0.496114	−	0.868258i	$-0.334760\pi$
$211$	−0.112760	−	0.0651019i	−0.00776270	−	0.00448180i	−0.503876	+	0.863776i	$0.668093\pi$
$212$	−0.138505	+	6.81240i	−0.00951256	+	0.467877i
$213$	−7.20341	+	9.83929i	−0.493569	+	0.674177i
$214$	13.0349	−	12.7726i	0.891046	−	0.873114i
$215$	−2.14335	+	3.71239i	−0.146175	+	0.253183i
$216$	6.12472	+	13.3599i	0.416734	+	0.909028i
$217$	3.08391	+	6.74639i	0.209349	+	0.457974i
$218$	17.0508	−	4.38349i	1.15482	−	0.296887i
$219$	18.1391	+	1.97314i	1.22573	+	0.133332i
$220$	−21.0340	−	12.7209i	−1.41811	−	0.857646i
$221$	−13.2840			−0.893579
$222$	1.03274	+	7.15831i	0.0693132	+	0.480434i
$223$	−3.96310	−	6.86430i	−0.265389	−	0.459667i	0.702276	−	0.711904i	$-0.252167\pi$
$223$	−3.96310	−	6.86430i	−0.265389	−	0.459667i	−0.967665	+	0.252237i	$0.918834\pi$
$224$	−8.93485	−	12.0070i	−0.596985	−	0.802253i
$225$	6.87626	+	1.51388i	0.458417	+	0.100925i
$226$	−0.848253	−	0.865674i	−0.0564249	−	0.0575838i
$227$	−4.74985	+	8.22699i	−0.315259	+	0.546044i	−0.979492	−	0.201481i	$-0.935425\pi$
$227$	−4.74985	+	8.22699i	−0.315259	+	0.546044i	0.664234	+	0.747525i	$0.268758\pi$
$228$	−4.35908	−	0.564045i	−0.288687	−	0.0373548i
$229$	4.11588	−	2.37631i	0.271985	−	0.157031i	−0.357804	−	0.933797i	$-0.616474\pi$
$229$	4.11588	−	2.37631i	0.271985	−	0.157031i	0.629789	+	0.776766i	$0.283141\pi$
$230$	−22.1486	−	22.6034i	−1.46043	−	1.49043i
$231$	13.8074	−	15.5287i	0.908461	−	1.02171i
$232$	16.8438	+	5.06849i	1.10585	+	0.332762i
$233$	−7.57886	+	13.1270i	−0.496508	+	0.859976i	−0.999992	−	0.00402795i	$-0.998718\pi$
$233$	−7.57886	+	13.1270i	−0.496508	+	0.859976i	0.503484	+	0.864004i	$0.332051\pi$
$234$	−8.00835	−	4.25786i	−0.523522	−	0.278345i
$235$	−20.1047	+	11.6074i	−1.31148	+	0.757186i
$236$	−6.87719	−	4.15919i	−0.447667	−	0.270740i
$237$	2.71108	−	3.70312i	0.176103	−	0.240543i
$238$	18.0730	−	14.6267i	1.17150	−	0.948108i
$239$	16.2272	+	9.36877i	1.04965	+	0.606015i	0.922551	−	0.385875i	$-0.126100\pi$
$239$	16.2272	+	9.36877i	1.04965	+	0.606015i	0.127098	+	0.991890i	$0.459434\pi$
$240$	−6.87111	−	17.4769i	−0.443528	−	1.12813i
$241$	21.6559	+	12.5030i	1.39498	+	0.805392i	0.993861	−	0.110634i	$-0.0352881\pi$
$241$	21.6559	+	12.5030i	1.39498	+	0.805392i	0.401119	+	0.916026i	$0.368621\pi$
$242$	−13.0958	+	3.36672i	−0.841828	+	0.216421i
$243$	−15.5859	−	0.283079i	−0.999835	−	0.0181595i
$244$	4.66749	−	7.71766i	0.298805	−	0.494072i
$245$	3.57738	−	18.6334i	0.228550	−	1.19045i
$246$	−14.0493	+	2.02692i	−0.895749	+	0.129231i
$247$	2.34913	−	1.35627i	0.149472	−	0.0862975i
$248$	5.77570	−	5.43379i	0.366757	−	0.345046i
$249$	−0.0493441	+	0.453622i	−0.00312705	+	0.0287471i
$250$	9.79596	+	2.73183i	0.619551	+	0.172776i
$251$	5.60075			0.353516			0.176758	−	0.984254i	$-0.443439\pi$
$251$	5.60075			0.353516			0.176758	+	0.984254i	$0.443439\pi$
$252$	15.5836	−	3.02496i	0.981677	−	0.190554i
$253$	−37.4347			−2.35350
$254$	2.44427	+	0.681643i	0.153367	+	0.0427701i
$255$	26.6936	−	11.7688i	1.67162	−	0.736989i
$256$	−9.09905	+	13.1608i	−0.568690	+	0.822552i
$257$	2.60475	−	1.50386i	0.162480	−	0.0938080i	−0.416555	−	0.909110i	$-0.636763\pi$
$257$	2.60475	−	1.50386i	0.162480	−	0.0938080i	0.579035	+	0.815303i	$0.303429\pi$
$258$	−1.43803	+	3.59707i	−0.0895279	+	0.223944i
$259$	7.77680	+	0.739768i	0.483227	+	0.0459670i
$260$	9.91662	+	5.99738i	0.615003	+	0.371942i
$261$	−12.5843	+	13.7737i	−0.778947	+	0.852571i
$262$	11.7739	−	3.02688i	0.727393	−	0.187001i
$263$	10.3914	+	5.99950i	0.640763	+	0.369945i	0.784909	−	0.619612i	$-0.212710\pi$
$263$	10.3914	+	5.99950i	0.640763	+	0.369945i	−0.144145	+	0.989557i	$0.546043\pi$
$264$	−20.4550	−	8.66378i	−1.25892	−	0.533219i
$265$	7.99733	+	4.61726i	0.491272	+	0.283636i
$266$	−1.70265	+	4.43179i	−0.104396	+	0.271730i
$267$	1.78429	+	4.04708i	0.109197	+	0.247677i
$268$	−8.41615	+	13.9160i	−0.514098	+	0.850057i
$269$	12.7680	−	7.37162i	0.778480	−	0.449456i	−0.0574114	−	0.998351i	$-0.518285\pi$
$269$	12.7680	−	7.37162i	0.778480	−	0.449456i	0.835891	+	0.548895i	$0.184951\pi$
$270$	19.8646	+	1.46109i	1.20892	+	0.0889193i
$271$	0.793431	−	1.37426i	0.0481975	−	0.0834806i	−0.840920	−	0.541159i	$-0.817986\pi$
$271$	0.793431	−	1.37426i	0.0481975	−	0.0834806i	0.889118	+	0.457679i	$0.151319\pi$
$272$	−21.0026	−	13.2924i	−1.27347	−	0.805971i
$273$	−6.50960	+	7.32112i	−0.393979	+	0.443094i
$274$	10.1196	+	10.3274i	0.611345	+	0.623901i
$275$	−9.21646	+	5.32112i	−0.555773	+	0.320876i
$276$	−22.7272	−	17.3592i	−1.36802	−	1.04490i
$277$	−12.1712	+	21.0811i	−0.731294	+	1.26664i	0.225036	+	0.974350i	$0.427750\pi$
$277$	−12.1712	+	21.0811i	−0.731294	+	1.26664i	−0.956330	+	0.292288i	$0.905583\pi$
$278$	−0.0781556	−	0.0797608i	−0.00468746	−	0.00478373i
$279$	2.54097	+	8.01803i	0.152124	+	0.480027i
$280$	−20.0952	+	2.75948i	−1.20092	+	0.164910i
$281$	2.42545	+	4.20101i	0.144691	+	0.250611i	0.929257	−	0.369433i	$-0.120448\pi$
$281$	2.42545	+	4.20101i	0.144691	+	0.250611i	−0.784567	+	0.620044i	$0.787115\pi$
$282$	−16.4844	+	12.9764i	−0.981634	+	0.772734i
$283$	−16.3710			−0.973155			−0.486578	−	0.873637i	$-0.661755\pi$
$283$	−16.3710			−0.973155			−0.486578	+	0.873637i	$0.661755\pi$
$284$	7.28679	−	12.0487i	0.432392	−	0.714956i
$285$	−3.51890	+	4.80654i	−0.208442	+	0.284715i
$286$	13.2773	−	3.41338i	0.785101	−	0.201837i
$287$	−1.45191	+	15.2632i	−0.0857035	+	0.900956i
$288$	−8.40099	−	14.7453i	−0.495033	−	0.868874i
$289$	10.8062	−	18.7168i	0.635656	−	1.10099i
$290$	17.0271	−	16.6845i	0.999868	−	0.979746i
$291$	−26.7217	−	2.90673i	−1.56645	−	0.170396i
$292$	−21.0645	−	0.428268i	−1.23271	−	0.0250625i
$293$	22.7526	+	13.1362i	1.32922	+	0.767425i	0.985179	−	0.171530i	$-0.0548709\pi$
$293$	22.7526	+	13.1362i	1.32922	+	0.767425i	0.344040	+	0.938955i	$0.388204\pi$
$294$	0.795239	−	17.1280i	0.0463793	−	0.998924i
$295$	−9.43307	+	5.44618i	−0.549214	+	0.317089i
$296$	−1.91453	−	8.12887i	−0.111280	−	0.472481i
$297$	17.6805	−	15.5741i	1.02593	−	0.903702i
$298$	24.3417	−	6.25788i	1.41008	−	0.362509i
$299$	17.6489			1.02066
$300$	−8.06295	−	1.04331i	−0.465515	−	0.0602354i
$301$	3.40927	+	2.42588i	0.196507	+	0.139825i
$302$	4.56460	−	4.47274i	0.262663	−	0.257377i
$303$	0.588016	+	1.33372i	0.0337807	+	0.0766203i
$304$	5.07121	+	0.206294i	0.290854	+	0.0118318i
$305$	−6.11177	−	10.5859i	−0.349959	−	0.606147i
$306$	22.3570	−	13.9710i	1.27806	−	0.798666i
$307$	−4.04236			−0.230710			−0.115355	−	0.993324i	$-0.536801\pi$
$307$	−4.04236			−0.230710			−0.115355	+	0.993324i	$0.536801\pi$
$308$	−14.3054	+	19.2632i	−0.815125	+	1.09762i
$309$	−0.976301	+	8.97518i	−0.0555398	+	0.510580i
$310$	−2.67593	−	10.4088i	−0.151983	−	0.591179i
$311$	−16.4164			−0.930887			−0.465443	−	0.885078i	$-0.654105\pi$
$311$	−16.4164			−0.930887			−0.465443	+	0.885078i	$0.654105\pi$
$312$	9.64366	+	4.08460i	0.545965	+	0.231245i
$313$		−	21.1740i		−	1.19682i	−0.801188	−	0.598412i	$-0.795798\pi$
$313$		−	21.1740i		−	1.19682i	0.801188	−	0.598412i	$-0.204202\pi$
$314$	−13.6935	−	3.81876i	−0.772770	−	0.215505i
$315$	6.59470	−	20.4785i	0.371569	−	1.15383i
$316$	−2.74246	+	4.53464i	−0.154275	+	0.255093i
$317$	30.5621			1.71654			0.858269	−	0.513201i	$-0.171540\pi$
$317$	30.5621			1.71654			0.858269	+	0.513201i	$0.171540\pi$
$318$	7.74889	+	3.09784i	0.434536	+	0.173718i
$319$		−	28.1995i		−	1.57887i
$320$	9.67742	+	19.4050i	0.540984	+	1.08477i
$321$	−9.01676	−	20.4516i	−0.503267	−	1.14150i
$322$	−24.0114	+	19.4327i	−1.33810	+	1.08294i
$323$			7.88448i			0.438704i
$324$	17.9561	−	1.25651i	0.997561	−	0.0698060i
$325$	4.34516	−	2.50868i	0.241026	−	0.139157i
$326$	15.7819	−	15.4643i	0.874078	−	0.856488i
$327$	2.33170	−	21.4354i	0.128943	−	1.18538i
$328$	15.9542	−	3.75755i	0.880921	−	0.207476i
$329$	9.42075	+	20.6089i	0.519383	+	1.13621i
$330$	−23.6560	+	18.6218i	−1.30222	+	1.02510i
$331$		−	33.5285i		−	1.84290i	−0.388502	−	0.921448i	$-0.627007\pi$
$331$		−	33.5285i		−	1.84290i	0.388502	−	0.921448i	$-0.372993\pi$
$332$	0.0107101	−	0.526779i	0.000587793	−	0.0289107i
$333$	8.65070	+	1.90455i	0.474055	+	0.104368i
$334$	12.6463	+	12.9060i	0.691974	+	0.706186i
$335$	11.0204	+	19.0879i	0.602108	+	1.04288i
$336$	−17.6177	+	5.06128i	−0.961124	+	0.276116i
$337$	5.86189	−	10.1531i	0.319318	−	0.553074i	−0.661028	−	0.750361i	$-0.729880\pi$
$337$	5.86189	−	10.1531i	0.319318	−	0.553074i	0.980346	+	0.197287i	$0.0632130\pi$
$338$	11.5461	−	2.96833i	0.628026	−	0.161456i
$339$	−1.35823	+	0.598823i	−0.0737691	+	0.0325236i
$340$	−29.5091	+	16.2464i	−1.60036	+	0.881087i
$341$	−11.0099	−	6.35656i	−0.596219	−	0.344227i
$342$	−2.52718	+	4.75321i	−0.136654	+	0.257024i
$343$	−17.7757	−	5.19856i	−0.959797	−	0.280696i
$344$	1.28893	−	4.28343i	0.0694945	−	0.230947i
$345$	−35.4646	+	15.6357i	−1.90935	+	0.841800i
$346$	−5.08769	−	1.41882i	−0.273516	−	0.0762763i
$347$			10.6037i			0.569239i	0.958641	+	0.284619i	$0.0918672\pi$
$347$			10.6037i			0.569239i	−0.958641	+	0.284619i	$0.908133\pi$
$348$	13.0766	−	17.1204i	0.700982	−	0.917748i
$349$	−30.2002	+	17.4361i	−1.61658	+	0.933332i	−0.628782	+	0.777582i	$0.716446\pi$
$349$	−30.2002	+	17.4361i	−1.61658	+	0.933332i	−0.987796	+	0.155750i	$0.950221\pi$
$350$	−3.14937	+	8.19742i	−0.168341	+	0.438171i
$351$	−8.33559	+	7.34252i	−0.444921	+	0.391915i
$352$	24.4074	+	7.88896i	1.30092	+	0.420483i
$353$	−19.4282	−	11.2169i	−1.03406	−	0.597015i	−0.115915	−	0.993259i	$-0.536980\pi$
$353$	−19.4282	−	11.2169i	−1.03406	−	0.597015i	−0.918145	+	0.396244i	$0.870313\pi$
$354$	−7.73446	+	6.08851i	−0.411082	+	0.323600i
$355$	−9.54158	−	16.5265i	−0.506414	−	0.877135i
$356$	−2.46316	−	4.47395i	−0.130547	−	0.237119i
$357$	−8.96847	−	27.0264i	−0.474662	−	1.43039i
$358$	8.12771	+	31.6149i	0.429563	+	1.67090i
$359$	13.9467	+	8.05211i	0.736077	+	0.424974i	0.820641	−	0.571444i	$-0.193617\pi$
$359$	13.9467	+	8.05211i	0.736077	+	0.424974i	−0.0845645	+	0.996418i	$0.526950\pi$
$360$	−22.9972	+	0.335849i	−1.21206	+	0.0177008i
$361$	8.69501	+	15.0602i	0.457632	+	0.792642i
$362$	−6.10492	−	1.70250i	−0.320867	−	0.0894813i
$363$	−1.79085	+	16.4634i	−0.0939954	+	0.864104i
$364$	6.74437	−	9.08176i	0.353501	−	0.476013i
$365$	−14.2769	+	24.7284i	−0.747289	+	1.29434i
$366$	−6.83259	−	8.67970i	−0.357145	−	0.453695i
$367$	7.18913	−	12.4519i	0.375269	−	0.649986i	−0.615098	−	0.788451i	$-0.710884\pi$
$367$	7.18913	−	12.4519i	0.375269	−	0.649986i	0.990367	+	0.138465i	$0.0442168\pi$
$368$	27.9036	+	17.6600i	1.45458	+	0.920593i
$369$	−3.73796	+	16.9783i	−0.194591	+	0.883856i
$370$	−10.9022	−	3.04033i	−0.566779	−	0.158059i
$371$	5.22588	−	7.34432i	0.271314	−	0.381298i
$372$	−3.73661	−	8.96465i	−0.193734	−	0.464795i
$373$	2.87738	+	4.98377i	0.148985	+	0.258050i	0.930853	−	0.365395i	$-0.119066\pi$
$373$	2.87738	+	4.98377i	0.148985	+	0.258050i	−0.781868	+	0.623445i	$0.785733\pi$
$374$	−10.7040	+	38.3830i	−0.553491	+	1.98474i
$375$	7.35762	−	10.0499i	0.379946	−	0.518976i
$376$	17.6437	−	16.5992i	0.909903	−	0.856038i
$377$			13.2949i			0.684721i
$378$	3.25593	−	19.1677i	0.167467	−	0.985878i
$379$		−	5.07756i		−	0.260817i	−0.991460	−	0.130408i	$-0.958371\pi$
$379$		−	5.07756i		−	0.260817i	0.991460	−	0.130408i	$-0.0416289\pi$
$380$	3.55963	−	5.88583i	0.182605	−	0.301937i
$381$	1.83586	−	2.50764i	0.0940541	−	0.128471i
$382$	−16.7981	−	4.68455i	−0.859468	−	0.239683i
$383$	−7.92135	−	13.7202i	−0.404762	−	0.701069i	0.589532	−	0.807745i	$-0.299312\pi$
$383$	−7.92135	−	13.7202i	−0.404762	−	0.701069i	−0.994294	+	0.106677i	$0.965979\pi$
$384$	11.1599	+	16.1077i	0.569499	+	0.821992i
$385$	13.5192	+	29.5748i	0.689004	+	1.50727i
$386$	−4.88284	+	17.5092i	−0.248530	+	0.891193i
$387$	3.50269	+	3.20022i	0.178052	+	0.162676i
$388$	31.0312	+	0.630905i	1.57537	+	0.0320293i
$389$	−11.9431	+	20.6861i	−0.605540	+	1.04883i	0.386426	+	0.922320i	$0.373710\pi$
$389$	−11.9431	+	20.6861i	−0.605540	+	1.04883i	−0.991966	+	0.126506i	$0.959624\pi$
$390$	11.1528	−	8.77937i	0.564743	−	0.444561i
$391$	−25.6498	+	44.4267i	−1.29716	+	2.24675i
$392$	0.823943	+	19.7818i	0.0416154	+	0.999134i
$393$	1.61009	−	14.8016i	0.0812181	−	0.746642i
$394$	3.86548	−	13.8611i	0.194740	−	0.698311i
$395$	3.59107	+	6.21992i	0.180686	+	0.312958i
$396$	−18.7557	+	19.7086i	−0.942510	+	0.990392i
$397$	28.3601	+	16.3737i	1.42335	+	0.821773i	0.996584	−	0.0825886i	$-0.0263187\pi$
$397$	28.3601	+	16.3737i	1.42335	+	0.821773i	0.426768	+	0.904361i	$0.359652\pi$
$398$	−13.2238	+	3.39963i	−0.662849	+	0.170408i
$399$	4.34532	+	3.86365i	0.217538	+	0.193425i
$400$	9.38015	+	0.381579i	0.469008	+	0.0190790i
$401$	−12.1418	−	21.0301i	−0.606330	−	1.05019i	−0.991840	−	0.127491i	$-0.959308\pi$
$401$	−12.1418	−	21.0301i	−0.606330	−	1.05019i	0.385510	−	0.922704i	$-0.374026\pi$
$402$	12.3201	+	15.6507i	0.614472	+	0.780588i
$403$	5.19069	+	2.99684i	0.258567	+	0.149283i
$404$	−0.811739	−	1.47440i	−0.0403855	−	0.0733541i
$405$	10.2450	−	22.1392i	0.509077	−	1.10011i
$406$	−14.6387	−	18.0877i	−0.726504	−	0.897679i
$407$	−11.5948	+	6.69426i	−0.574733	+	0.331822i
$408$	−24.2975	+	18.3393i	−1.20290	+	0.907929i
$409$			5.43369i			0.268679i	0.990935	+	0.134339i	$0.0428912\pi$
$409$			5.43369i			0.268679i	−0.990935	+	0.134339i	$0.957109\pi$
$410$	5.96712	−	21.3973i	0.294695	−	1.05674i
$411$	16.2036	−	7.14389i	0.799264	−	0.352382i
$412$	0.211906	−	10.4226i	0.0104398	−	0.513486i
$413$	4.42020	+	9.66966i	0.217504	+	0.475813i
$414$	−29.7030	+	18.5615i	−1.45982	+	0.912249i
$415$	−0.618405	−	0.357036i	−0.0303563	−	0.0175262i
$416$	−11.5071	−	3.71930i	−0.564180	−	0.182354i
$417$	−0.125144	+	0.0551738i	−0.00612832	+	0.00270187i
$418$	−2.02595	−	7.88047i	−0.0990923	−	0.385447i
$419$	−5.14325	+	8.90838i	−0.251264	+	0.435203i	−0.963874	−	0.266358i	$-0.914180\pi$
$419$	−5.14325	+	8.90838i	−0.251264	+	0.435203i	0.712610	+	0.701561i	$0.247513\pi$
$420$	−5.50666	+	24.2244i	−0.268697	+	1.18203i
$421$	−4.24651	−	7.35517i	−0.206962	−	0.358469i	0.743794	−	0.668409i	$-0.233024\pi$
$421$	−4.24651	−	7.35517i	−0.206962	−	0.358469i	−0.950756	+	0.309940i	$0.899691\pi$
$422$	0.131520	−	0.128874i	0.00640231	−	0.00627347i
$423$	7.76219	+	24.4936i	0.377411	+	1.19092i
$424$	−9.22747	−	2.77664i	−0.448125	−	0.134846i
$425$			14.5838i			0.707420i
$426$	−10.6669	−	13.5506i	−0.516813	−	0.656528i
$427$	−10.8514	+	4.96039i	−0.525136	+	0.240050i
$428$	12.4474	+	22.6087i	0.601667	+	1.09283i
$429$	1.81567	−	16.6916i	0.0876615	−	0.805876i
$430$	−4.24291	−	4.33005i	−0.204611	−	0.208814i
$431$	3.31490	−	1.91386i	0.159673	−	0.0921873i	−0.418034	−	0.908431i	$-0.637281\pi$
$431$	3.31490	−	1.91386i	0.159673	−	0.0921873i	0.577707	+	0.816244i	$0.303947\pi$
$432$	−20.5261	+	3.26799i	−0.987562	+	0.157231i
$433$		−	34.5478i		−	1.66026i	−0.557567	−	0.830132i	$-0.688265\pi$
$433$		−	34.5478i		−	1.66026i	0.557567	−	0.830132i	$-0.311735\pi$
$434$	−10.3617	+	1.63812i	−0.497378	+	0.0786321i
$435$	−11.7784	−	26.7154i	−0.564730	−	1.28091i
$436$	−0.506095	+	24.8924i	−0.0242375	+	1.19213i
$437$		−	10.4752i		−	0.501095i
$438$	−9.57877	+	23.9602i	−0.457691	+	1.14486i
$439$	−32.3781			−1.54532			−0.772661	−	0.634819i	$-0.781075\pi$
$439$	−32.3781			−1.54532			−0.772661	+	0.634819i	$0.781075\pi$
$440$	25.3195	−	23.8207i	1.20706	−	1.13561i
$441$	−19.2897	−	8.30108i	−0.918557	−	0.395289i
$442$	5.04648	−	18.0959i	0.240036	−	0.860736i
$443$		−	12.5117i		−	0.594449i	−0.954808	−	0.297224i	$-0.903939\pi$
$443$		−	12.5117i		−	0.594449i	0.954808	−	0.297224i	$-0.0960609\pi$
$444$	−10.1436	−	1.31254i	−0.481395	−	0.0622903i
$445$	−6.92160			−0.328115
$446$	10.8563	−	2.79099i	0.514062	−	0.132157i
$447$	3.32875	−	30.6013i	0.157444	−	1.44739i
$448$	19.7506	−	7.61000i	0.933130	−	0.359539i
$449$	−7.79064			−0.367663			−0.183831	−	0.982958i	$-0.558850\pi$
$449$	−7.79064			−0.367663			−0.183831	+	0.982958i	$0.558850\pi$
$450$	−4.67449	+	8.79196i	−0.220358	+	0.414457i
$451$	−13.1385	−	22.7566i	−0.618668	−	1.07157i
$452$	1.50149	−	0.826658i	0.0706244	−	0.0388827i
$453$	−3.15753	−	7.16182i	−0.148354	−	0.336491i
$454$	−9.40266	−	9.59577i	−0.441289	−	0.450352i
$455$	−6.37374	−	13.9432i	−0.298805	−	0.653670i
$456$	2.42434	−	5.72382i	0.113530	−	0.268042i
$457$	38.2989			1.79155			0.895774	−	0.444509i	$-0.146622\pi$
$457$	38.2989			1.79155			0.895774	+	0.444509i	$0.146622\pi$
$458$	1.67350	+	6.50954i	0.0781975	+	0.304171i
$459$	−6.36858	−	31.6540i	−0.297260	−	1.47748i
$460$	39.2052	−	21.5847i	1.82795	−	1.00639i
$461$	17.5428	−	10.1283i	0.817049	−	0.471723i	−0.0323489	−	0.999477i	$-0.510299\pi$
$461$	17.5428	−	10.1283i	0.817049	−	0.471723i	0.849398	+	0.527753i	$0.176965\pi$
$462$	15.9084	+	24.7082i	0.740128	+	1.14953i
$463$	21.0319	+	12.1428i	0.977434	+	0.564322i	0.901494	−	0.432791i	$-0.142471\pi$
$463$	21.0319	+	12.1428i	0.977434	+	0.564322i	0.0759392	+	0.997112i	$0.475804\pi$
$464$	−13.3033	+	21.0198i	−0.617589	+	0.975818i
$465$	−13.0854	−	1.42341i	−0.606823	−	0.0660089i
$466$	−15.0029	−	15.3110i	−0.694995	−	0.709268i
$467$	−15.1767	+	26.2867i	−0.702292	+	1.21641i	0.265368	+	0.964147i	$0.414507\pi$
$467$	−15.1767	+	26.2867i	−0.702292	+	1.21641i	−0.967660	+	0.252258i	$0.918827\pi$
$468$	8.84251	−	9.29173i	0.408745	−	0.429511i
$469$	19.5666	−	8.94430i	0.903503	−	0.413009i
$470$	−8.17447	−	31.7968i	−0.377060	−	1.46668i
$471$	−10.2850	+	14.0485i	−0.473909	+	0.647323i
$472$	8.27837	−	7.78830i	0.381043	−	0.358486i
$473$	−7.17123			−0.329733
$474$	4.01460	+	5.09990i	0.184397	+	0.234246i
$475$	−1.48898	−	2.57899i	−0.0683192	−	0.118332i
$476$	13.0592	+	30.1762i	0.598569	+	1.38312i
$477$	6.89398	−	7.54559i	0.315654	−	0.345489i
$478$	−18.9270	+	18.5461i	−0.865702	+	0.848280i
$479$	11.0511	−	19.1411i	0.504940	−	0.874581i	−0.495044	−	0.868868i	$-0.664848\pi$
$479$	11.0511	−	19.1411i	0.504940	−	0.874581i	0.999984	−	0.00571345i	$-0.00181866\pi$
$480$	26.4179	−	2.72073i	1.20581	−	0.124184i
$481$	5.46645	−	3.15605i	0.249249	−	0.143904i
$482$	−25.2590	+	24.7506i	−1.15051	+	1.12736i
$483$	11.9153	+	35.9067i	0.542166	+	1.63381i
$484$	0.388704	−	19.1185i	0.0176684	−	0.869022i
$485$	21.0321	−	36.4286i	0.955018	−	1.65414i
$486$	6.30656	−	21.1241i	0.286071	−	0.958208i
$487$	−1.80749	+	1.04356i	−0.0819053	+	0.0472880i	−0.540393	−	0.841413i	$-0.681725\pi$
$487$	−1.80749	+	1.04356i	−0.0819053	+	0.0472880i	0.458488	+	0.888701i	$0.348391\pi$
$488$	8.74012	+	9.29008i	0.395647	+	0.420542i
$489$	−10.9170	−	24.7616i	−0.493684	−	1.11976i
$490$	24.0241	+	11.9519i	1.08530	+	0.539932i
$491$	13.5131	+	7.80182i	0.609840	+	0.352091i	0.772903	−	0.634525i	$-0.218804\pi$
$491$	13.5131	+	7.80182i	0.609840	+	0.352091i	−0.163063	+	0.986616i	$0.552137\pi$
$492$	2.57606	−	19.9084i	0.116138	−	0.897541i
$493$	−33.4666	−	19.3219i	−1.50726	−	0.870216i
$494$	0.955146	+	3.71530i	0.0429741	+	0.167159i
$495$	11.1391	+	35.1495i	0.500666	+	1.57985i
$496$	5.20796	+	9.93211i	0.233844	+	0.445965i
$497$	−16.9410	+	7.74407i	−0.759908	+	0.347369i
$498$	−0.599194	−	0.239545i	−0.0268505	−	0.0107343i
$499$	−2.29409	+	1.32449i	−0.102698	+	0.0592925i	−0.550469	−	0.834855i	$-0.685551\pi$
$499$	−2.29409	+	1.32449i	−0.102698	+	0.0592925i	0.447771	+	0.894148i	$0.352218\pi$
$500$	−7.44279	+	12.3066i	−0.332852	+	0.550368i
$501$	20.2494	−	8.92763i	0.904677	−	0.398857i
$502$	−2.12767	+	7.62953i	−0.0949627	+	0.340523i
$503$	−2.56426			−0.114335			−0.0571673	−	0.998365i	$-0.518207\pi$
$503$	−2.56426			−0.114335			−0.0571673	+	0.998365i	$0.518207\pi$
$504$	−1.79938	+	22.3777i	−0.0801506	+	0.996783i
$505$	−2.28103			−0.101504
$506$	14.2211	−	50.9949i	0.632206	−	2.26700i
$507$	1.57894	−	14.5153i	0.0701232	−	0.644645i
$508$	−1.85712	+	3.07073i	−0.0823962	+	0.136241i
$509$	30.4016	−	17.5524i	1.34753	−	0.777995i	0.359628	−	0.933096i	$-0.382904\pi$
$509$	30.4016	−	17.5524i	1.34753	−	0.777995i	0.987899	+	0.155101i	$0.0495703\pi$
$510$	5.89117	+	40.8338i	0.260865	+	1.80815i
$511$	22.7092	+	16.1588i	1.00460	+	0.714825i
$512$	−14.4715	−	17.3947i	−0.639555	−	0.768745i
$513$	4.35802	+	4.94744i	0.192411	+	0.218435i
$514$	1.05908	+	4.11959i	0.0467141	+	0.181707i
$515$	−12.2355	−	7.06417i	−0.539161	−	0.311285i
$516$	−4.35376	−	3.32543i	−0.191663	−	0.146394i
$517$	−33.6331	−	19.4181i	−1.47918	−	0.854006i
$518$	−3.96207	+	10.3128i	−0.174084	+	0.453118i
$519$	−3.82130	+	5.21959i	−0.167736	+	0.229115i
$520$	−11.9371	+	11.2304i	−0.523475	+	0.492486i
$521$	21.0289	−	12.1410i	0.921292	−	0.531908i	0.0372447	−	0.999306i	$-0.488142\pi$
$521$	21.0289	−	12.1410i	0.921292	−	0.531908i	0.884047	+	0.467398i	$0.154809\pi$
$522$	−13.9824	−	22.3752i	−0.611992	−	0.979338i
$523$	−1.58550	+	2.74617i	−0.0693291	+	0.120082i	−0.898606	−	0.438756i	$-0.855419\pi$
$523$	−1.58550	+	2.74617i	−0.0693291	+	0.120082i	0.829277	+	0.558838i	$0.188753\pi$
$524$	−0.349468	+	17.1887i	−0.0152666	+	0.750891i
$525$	8.03748	+	7.14656i	0.350785	+	0.311901i
$526$	−12.1203	+	11.8764i	−0.528472	+	0.517837i
$527$	−15.0876	+	8.71085i	−0.657228	+	0.379451i
$528$	19.5728	−	24.5733i	0.851796	−	1.06941i
$529$	22.5778	−	39.1058i	0.981641	−	1.70025i
$530$	−9.32790	+	9.14018i	−0.405178	+	0.397024i
$531$	3.64200	+	11.4923i	0.158049	+	0.498725i
$532$	−5.39031	−	4.00300i	−0.233700	−	0.173552i
$533$	6.19424	+	10.7287i	0.268302	+	0.464713i
$534$	−6.19091	+	0.893175i	−0.267907	+	0.0386514i
$535$	34.9777			1.51222
$536$	−15.7597	−	16.7513i	−0.680715	−	0.723548i
$537$	39.7449	+	4.32336i	1.71512	+	0.186567i
$538$	5.19142	+	20.1934i	0.223818	+	0.870601i
$539$	29.9879	−	10.4031i	1.29167	−	0.448094i
$540$	−9.53673	+	26.5052i	−0.410395	+	1.14060i
$541$	−3.76989	+	6.52964i	−0.162080	+	0.280731i	−0.935615	−	0.353023i	$-0.885154\pi$
$541$	−3.76989	+	6.52964i	−0.162080	+	0.280731i	0.773534	+	0.633754i	$0.218487\pi$
$542$	1.57065	+	1.60291i	0.0674653	+	0.0688509i
$543$	−4.58532	+	6.26319i	−0.196775	+	0.268779i
$544$	26.0861	−	23.5608i	1.11843	−	1.01016i
$545$	29.2221	+	16.8714i	1.25174	+	0.722691i
$546$	−7.50014	−	11.6488i	−0.320976	−	0.498524i
$547$	5.23369	−	3.02167i	0.223777	−	0.129197i	−0.383921	−	0.923366i	$-0.625427\pi$
$547$	5.23369	−	3.02167i	0.223777	−	0.129197i	0.607698	+	0.794168i	$0.292093\pi$
$548$	−17.9127	+	9.86194i	−0.765192	+	0.421281i
$549$	−12.8968	+	4.08710i	−0.550423	+	0.174433i
$550$	−3.74737	−	14.5764i	−0.159788	−	0.621541i
$551$	7.89093			0.336165
$552$	32.2811	−	24.3652i	1.37398	−	1.03705i
$553$	6.37592	−	2.91456i	0.271132	−	0.123940i
$554$	−24.0936	−	24.5885i	−1.02364	−	1.04466i
$555$	−8.18851	+	11.1849i	−0.347583	+	0.474771i
$556$	0.138343	−	0.0761659i	0.00586707	−	0.00323015i
$557$	−14.5904	−	25.2713i	−0.618215	−	1.07078i	−0.989811	−	0.142385i	$-0.954523\pi$
$557$	−14.5904	−	25.2713i	−0.618215	−	1.07078i	0.371597	−	0.928394i	$-0.378810\pi$
$558$	−11.8877	+	0.415424i	−0.503248	+	0.0175863i
$559$	3.38092			0.142998
$560$	3.87491	−	28.4226i	0.163745	−	1.20108i
$561$	39.3781	+	28.8290i	1.66255	+	1.21716i
$562$	−6.64417	+	1.70811i	−0.280267	+	0.0720524i
$563$	−11.1660			−0.470593			−0.235296	−	0.971924i	$-0.575606\pi$
$563$	−11.1660			−0.470593			−0.235296	+	0.971924i	$0.575606\pi$
$564$	−11.4146	−	27.3853i	−0.480643	−	1.15313i
$565$		−	2.32295i		−	0.0977271i
$566$	6.21920	−	22.3012i	0.261412	−	0.937387i
$567$	−20.5660	−	12.0016i	−0.863692	−	0.504020i
$568$	13.6449	+	14.5035i	0.572528	+	0.608553i
$569$	−28.3877			−1.19007			−0.595037	−	0.803699i	$-0.702862\pi$
$569$	−28.3877			−1.19007			−0.595037	+	0.803699i	$0.702862\pi$
$570$	−5.21084	−	6.61953i	−0.218258	−	0.277261i
$571$			17.4624i			0.730779i	0.930855	+	0.365389i	$0.119064\pi$
$571$			17.4624i			0.730779i	−0.930855	+	0.365389i	$0.880936\pi$
$572$	−0.394091	+	19.3834i	−0.0164778	+	0.810463i
$573$	−12.6169	+	17.2336i	−0.527077	+	0.719946i
$574$	−20.2405	−	7.77618i	−0.844820	−	0.324571i
$575$		−	19.3758i		−	0.808026i
$576$	23.2780	−	5.84253i	0.969916	−	0.243439i
$577$	−19.5911	+	11.3109i	−0.815588	+	0.470880i	−0.848893	−	0.528565i	$-0.822730\pi$
$577$	−19.5911	+	11.3109i	−0.815588	+	0.470880i	0.0333046	+	0.999445i	$0.489397\pi$
$578$	21.3915	+	21.8309i	0.889770	+	0.908044i
$579$	17.9631	+	13.1509i	0.746521	+	0.546533i
$580$	16.2597	+	29.5332i	0.675148	+	1.22630i
$581$	−0.404099	+	0.567911i	−0.0167649	+	0.0235609i
$582$	14.1110	−	35.2970i	0.584919	−	1.46311i
$583$			15.4484i			0.639808i
$584$	8.58560	−	28.5321i	0.355275	−	1.18067i
$585$	−5.25162	−	16.5715i	−0.217128	−	0.685145i
$586$	−26.5381	+	26.0040i	−1.09628	+	1.07422i
$587$	−17.5604	−	30.4156i	−0.724797	−	1.25539i	−0.959057	−	0.283212i	$-0.908600\pi$
$587$	−17.5604	−	30.4156i	−0.724797	−	1.25539i	0.234260	−	0.972174i	$-0.424733\pi$
$588$	23.0302	+	7.59006i	0.949750	+	0.313009i
$589$	1.77872	−	3.08084i	0.0732910	−	0.126944i
$590$	−3.83544	−	14.9190i	−0.157903	−	0.614206i
$591$	−14.2204	−	10.4109i	−0.584950	−	0.428246i
$592$	11.8007	+	0.480047i	0.485007	+	0.0197298i
$593$	−25.7528	−	14.8684i	−1.05754	−	0.610572i	−0.132791	−	0.991144i	$-0.542394\pi$
$593$	−25.7528	−	14.8684i	−1.05754	−	0.610572i	−0.924751	+	0.380572i	$0.875727\pi$
$594$	14.4989	+	30.0014i	0.594899	+	1.23097i
$595$	44.3619	+	4.21993i	1.81866	+	0.173000i
$596$	−0.722503	+	35.5365i	−0.0295949	+	1.45563i
$597$	−1.80836	+	16.6244i	−0.0740114	+	0.680390i
$598$	−6.70464	+	24.0419i	−0.274173	+	0.983146i
$599$			0.195888i			0.00800375i	0.999992	+	0.00400187i	$0.00127384\pi$
$599$			0.195888i			0.00800375i	−0.999992	+	0.00400187i	$0.998726\pi$
$600$	4.48427	−	10.5873i	0.183070	−	0.432224i
$601$	−10.8454	+	6.26158i	−0.442392	+	0.255415i	−0.704612	−	0.709593i	$-0.748879\pi$
$601$	−10.8454	+	6.26158i	−0.442392	+	0.255415i	0.262220	+	0.965008i	$0.415545\pi$
$602$	−4.59976	+	3.72265i	−0.187472	+	0.151724i
$603$	23.2548	−	7.36962i	0.947009	−	0.300114i
$604$	4.35887	+	7.91722i	0.177360	+	0.322147i
$605$	−22.4439	−	12.9580i	−0.912474	−	0.526817i
$606$	−2.04022	+	0.294347i	−0.0828785	+	0.0119570i
$607$	6.32895	+	10.9621i	0.256884	+	0.444937i	0.965406	−	0.260753i	$-0.0839707\pi$
$607$	6.32895	+	10.9621i	0.256884	+	0.444937i	−0.708521	+	0.705689i	$0.750637\pi$
$608$	−2.20753	+	6.82980i	−0.0895270	+	0.276985i
$609$	−27.0485	+	8.97580i	−1.09606	+	0.363718i
$610$	16.7423	−	4.30418i	0.677875	−	0.174271i
$611$	15.8566	+	9.15479i	0.641488	+	0.370363i
$612$	10.5385	+	35.7629i	0.425994	+	1.44563i
$613$	8.67478	+	15.0252i	0.350371	+	0.606861i	0.986314	−	0.164875i	$-0.0527221\pi$
$613$	8.67478	+	15.0252i	0.350371	+	0.606861i	−0.635943	+	0.771736i	$0.719389\pi$
$614$	1.53566	−	5.50665i	0.0619741	−	0.222230i
$615$	−21.9520	−	16.0712i	−0.885190	−	0.648053i
$616$	−20.8065	−	26.8052i	−0.838317	−	1.08001i
$617$	−16.7643	+	29.0366i	−0.674906	+	1.16897i	0.301591	+	0.953437i	$0.402482\pi$
$617$	−16.7643	+	29.0366i	−0.674906	+	1.16897i	−0.976496	+	0.215533i	$0.930851\pi$
$618$	−11.8554	−	4.73954i	−0.476895	−	0.190652i
$619$	−14.9380	+	25.8734i	−0.600411	+	1.03994i	0.392348	+	0.919817i	$0.371663\pi$
$619$	−14.9380	+	25.8734i	−0.600411	+	1.03994i	−0.992759	+	0.120125i	$0.961671\pi$
$620$	15.1958	+	0.308950i	0.610276	+	0.0124077i
$621$	8.46117	+	42.0548i	0.339535	+	1.68760i
$622$	6.23643	−	22.3629i	0.250058	−	0.896672i
$623$	−0.639793	+	6.72582i	−0.0256328	+	0.269464i
$624$	−9.22772	+	11.5852i	−0.369404	+	0.463780i
$625$	15.6133	+	27.0430i	0.624532	+	1.08172i
$626$	28.8439	+	8.04381i	1.15284	+	0.321495i
$627$	−9.90697	−	1.07766i	−0.395646	−	0.0430376i
$628$	10.4041	−	17.2031i	0.415168	−	0.686478i
$629$			18.3473i			0.731553i
$630$	25.3913	+	16.7631i	1.01161	+	0.667859i
$631$		−	33.1323i		−	1.31898i	−0.751714	−	0.659489i	$-0.770773\pi$
$631$		−	33.1323i		−	1.31898i	0.751714	−	0.659489i	$-0.229227\pi$
$632$	−5.13540	−	5.45854i	−0.204275	−	0.217129i
$633$	−0.0909782	−	0.206354i	−0.00361606	−	0.00820184i
$634$	−11.6103	+	41.6327i	−0.461102	+	1.65345i
$635$	2.43177	+	4.21195i	0.0965019	+	0.167146i
$636$	−7.16372	+	9.37897i	−0.284060	+	0.371900i
$637$	−14.1380	+	4.90462i	−0.560168	+	0.194328i
$638$	38.4144	+	10.7128i	1.52084	+	0.424122i
$639$	−20.1343	+	6.38070i	−0.796499	+	0.252416i
$640$	−30.1105	+	5.81114i	−1.19022	+	0.229705i
$641$	−9.00425	+	15.5958i	−0.355647	+	0.615998i	−0.987228	−	0.159311i	$-0.949073\pi$
$641$	−9.00425	+	15.5958i	−0.355647	+	0.615998i	0.631582	+	0.775309i	$0.282406\pi$
$642$	31.2852	−	4.51358i	1.23473	−	0.178137i
$643$	23.9799	−	41.5344i	0.945676	−	1.63796i	0.191284	−	0.981535i	$-0.438735\pi$
$643$	23.9799	−	41.5344i	0.945676	−	1.63796i	0.754392	−	0.656424i	$-0.227932\pi$
$644$	−17.3502	−	40.0914i	−0.683695	−	1.57982i
$645$	−6.79380	+	2.99528i	−0.267506	+	0.117939i
$646$	−10.7405	−	2.99524i	−0.422580	−	0.117846i
$647$	−22.5385	−	39.0378i	−0.886079	−	1.53473i	−0.844472	−	0.535600i	$-0.820086\pi$
$647$	−22.5385	−	39.0378i	−0.886079	−	1.53473i	−0.0416069	−	0.999134i	$-0.513248\pi$
$648$	−5.10970	+	24.9377i	−0.200728	+	0.979647i
$649$	−15.7806	−	9.11092i	−0.619442	−	0.357635i
$650$	1.76672	+	6.87215i	0.0692966	+	0.269548i
$651$	−2.59269	+	12.5837i	−0.101615	+	0.493196i
$652$	15.0706	+	27.3734i	0.590210	+	1.07202i
$653$	−13.3879	−	23.1886i	−0.523910	−	0.907438i	−0.999613	−	0.0278324i	$-0.991140\pi$
$653$	−13.3879	−	23.1886i	−0.523910	−	0.907438i	0.475703	−	0.879606i	$-0.342194\pi$
$654$	28.3143	+	11.3195i	1.10718	+	0.442626i
$655$	20.1784	+	11.6500i	0.788436	+	0.455204i
$656$	−0.942167	+	23.1608i	−0.0367854	+	0.904276i
$657$	23.3316	+	21.3167i	0.910251	+	0.831645i
$658$	−31.6530	+	5.00413i	−1.23396	+	0.195081i
$659$	10.2901	−	5.94100i	0.400846	−	0.231428i	−0.286003	−	0.958229i	$-0.592327\pi$
$659$	10.2901	−	5.94100i	0.400846	−	0.231428i	0.686849	+	0.726800i	$0.258993\pi$
$660$	−16.3806	−	39.2993i	−0.637612	−	1.52972i
$661$		−	10.5475i		−	0.410251i	−0.978736	−	0.205126i	$-0.934240\pi$
$661$		−	10.5475i		−	0.410251i	0.978736	−	0.205126i	$-0.0657603\pi$
$662$	45.6737	+	12.7372i	1.77516	+	0.495045i
$663$	−18.5651	−	13.5916i	−0.721008	−	0.527855i
$664$	0.713528	+	0.214708i	0.0276902	+	0.00833229i
$665$	−8.27576	+	3.78302i	−0.320920	+	0.146699i
$666$	−5.88076	+	11.0608i	−0.227875	+	0.428596i
$667$	44.4630	+	25.6707i	1.72161	+	0.993975i
$668$	−22.3852	+	12.3243i	−0.866111	+	0.476843i
$669$	1.48461	−	13.6481i	0.0573983	−	0.527665i
$670$	−30.1887	+	7.76105i	−1.16629	+	0.299835i
$671$	10.2244	−	17.7091i	0.394708	−	0.683654i
$672$	−0.201851	−	25.9222i	−0.00778658	−	0.999970i
$673$	−18.4043	−	31.8771i	−0.709432	−	1.22877i	−0.965068	−	0.261999i	$-0.915618\pi$
$673$	−18.4043	−	31.8771i	−0.709432	−	1.22877i	0.255636	−	0.966773i	$-0.417715\pi$
$674$	11.6040	+	11.8423i	0.446970	+	0.456150i
$675$	8.06098	+	9.15122i	0.310267	+	0.352231i
$676$	−0.342708	+	16.8562i	−0.0131811	+	0.648314i
$677$			6.15922i			0.236718i	0.992971	+	0.118359i	$0.0377634\pi$
$677$			6.15922i			0.236718i	−0.992971	+	0.118359i	$0.962237\pi$
$678$	−0.299757	−	2.07772i	−0.0115121	−	0.0797944i
$679$	−33.4541	−	23.8044i	−1.28385	−	0.913530i
$680$	−10.9212	−	46.3702i	−0.418809	−	1.77822i
$681$	−15.0557	+	6.63780i	−0.576934	+	0.254361i
$682$	12.8417	−	12.5832i	0.491733	−	0.481838i
$683$	−4.66531	+	2.69352i	−0.178513	+	0.103065i	−0.586594	−	0.809881i	$-0.699531\pi$
$683$	−4.66531	+	2.69352i	−0.178513	+	0.103065i	0.408081	+	0.912946i	$0.366198\pi$
$684$	−5.51494	−	5.24831i	−0.210869	−	0.200674i
$685$			27.7125i			1.05884i
$686$	13.8345	−	22.2398i	0.528203	−	0.849118i
$687$	8.18349	+	0.890183i	0.312220	+	0.0339626i
$688$	5.34538	+	3.38306i	0.203791	+	0.128978i
$689$		−	7.28327i		−	0.277470i
$690$	−7.82688	−	54.2509i	−0.297964	−	2.06530i
$691$	−48.5846			−1.84824			−0.924122	−	0.382098i	$-0.875202\pi$
$691$	−48.5846			−1.84824			−0.924122	+	0.382098i	$0.875202\pi$
$692$	3.86554	−	6.39163i	0.146946	−	0.242973i
$693$	35.1849	−	7.57503i	1.33656	−	0.287752i
$694$	−14.4448	−	4.02826i	−0.548316	−	0.152911i
$695$		−	0.214030i		−	0.00811861i
$696$	18.3542	+	24.3173i	0.695716	+	0.921746i
$697$	−36.0093			−1.36395
$698$	−12.2793	−	47.7635i	−0.464777	−	1.80788i
$699$	−24.0228	+	10.5913i	−0.908626	+	0.400598i
$700$	−9.97040	−	7.40430i	−0.376846	−	0.279856i
$701$	43.3568			1.63756			0.818782	−	0.574105i	$-0.194650\pi$
$701$	43.3568			1.63756			0.818782	+	0.574105i	$0.194650\pi$
$702$	−6.83563	−	14.1444i	−0.257994	−	0.533845i
$703$	−1.87322	−	3.24451i	−0.0706498	−	0.122369i
$704$	−20.0188	+	30.2517i	−0.754486	+	1.14015i
$705$	−39.9735	−	4.34824i	−1.50549	−	0.163764i
$706$	22.6607	−	22.2046i	0.852845	−	0.835682i
$707$	−0.210845	+	2.21651i	−0.00792964	+	0.0833603i
$708$	−5.35572	−	12.8491i	−0.201280	−	0.482900i
$709$	43.1877			1.62195			0.810974	−	0.585082i	$-0.198938\pi$
$709$	43.1877			1.62195			0.810974	+	0.585082i	$0.198938\pi$
$710$	26.1377	−	6.71960i	0.980931	−	0.252182i
$711$	7.57774	−	2.40144i	0.284187	−	0.0900611i
$712$	7.03031	−	1.65579i	0.263472	−	0.0620534i
$713$	20.0451	−	11.5731i	0.750696	−	0.433415i
$714$	40.2233	−	1.95009i	1.50532	−	0.0729803i
$715$	22.7549	+	13.1376i	0.850987	+	0.491317i
$716$	−46.1546	−	0.938384i	−1.72488	−	0.0350691i
$717$	13.0926	+	29.6963i	0.488953	+	1.10903i
$718$	−16.2671	+	15.9397i	−0.607082	+	0.594864i
$719$	−18.5699	+	32.1641i	−0.692542	+	1.19952i	0.278460	+	0.960448i	$0.410176\pi$
$719$	−18.5699	+	32.1641i	−0.692542	+	1.19952i	−0.971002	+	0.239070i	$0.923157\pi$
$720$	8.27891	−	31.4551i	0.308537	−	1.17226i
$721$	−7.99533	+	11.2364i	−0.297762	+	0.418467i
$722$	−23.8187	+	6.12341i	−0.886439	+	0.227890i
$723$	17.4727	+	39.6311i	0.649816	+	1.47389i
$724$	4.63840	−	7.66956i	0.172385	−	0.285037i
$725$	14.5958			0.542073
$726$	−21.7467	−	8.69386i	−0.807095	−	0.322659i
$727$	−9.92195	−	17.1853i	−0.367985	−	0.637369i	0.621265	−	0.783600i	$-0.286619\pi$
$727$	−9.92195	−	17.1853i	−0.367985	−	0.637369i	−0.989250	+	0.146232i	$0.953286\pi$
$728$	9.80935	+	12.6375i	0.363559	+	0.468377i
$729$	−21.4924	−	16.3424i	−0.796017	−	0.605275i
$730$	−28.2622	−	28.8426i	−1.04603	−	1.06751i
$731$	−4.91362	+	8.51065i	−0.181737	+	0.314778i
$732$	14.4194	−	6.01025i	0.532957	−	0.222145i
$733$	−22.4229	+	12.9459i	−0.828208	+	0.478166i	−0.853239	−	0.521520i	$-0.825365\pi$
$733$	−22.4229	+	12.9459i	−0.828208	+	0.478166i	0.0250306	+	0.999687i	$0.492032\pi$
$734$	14.2314	+	14.5237i	0.525290	+	0.536078i
$735$	24.0645	−	22.3809i	0.887632	−	0.825534i
$736$	−34.6574	+	31.3024i	−1.27749	+	1.15382i
$737$	−18.4360	+	31.9321i	−0.679099	+	1.17623i
$738$	−21.7084	−	11.5419i	−0.799099	−	0.424863i
$739$	−31.6257	+	18.2591i	−1.16337	+	0.671673i	−0.952110	−	0.305757i	$-0.901091\pi$
$739$	−31.6257	+	18.2591i	−1.16337	+	0.671673i	−0.211262	+	0.977430i	$0.567757\pi$
$740$	8.28330	−	13.6964i	0.304500	−	0.503488i
$741$	4.67071	+	0.508070i	0.171583	+	0.0186644i
$742$	8.01943	+	9.90892i	0.294402	+	0.363768i
$743$	−15.7067	−	9.06825i	−0.576222	−	0.332682i	0.183409	−	0.983037i	$-0.441287\pi$
$743$	−15.7067	−	9.06825i	−0.576222	−	0.332682i	−0.759630	+	0.650355i	$0.774620\pi$
$744$	13.6315	−	1.68455i	0.499754	−	0.0617586i
$745$	41.7176	+	24.0857i	1.52841	+	0.882430i
$746$	−7.88215	+	2.02638i	−0.288586	+	0.0741910i
$747$	−0.533087	+	0.583474i	−0.0195047	+	0.0213482i
$748$	−48.2203	−	29.1627i	−1.76311	−	1.06629i
$749$	3.23314	−	33.9883i	0.118136	−	1.24191i
$750$	10.8953	+	13.8407i	0.397839	+	0.505390i
$751$	6.86425	−	3.96307i	0.250480	−	0.144615i	−0.369504	−	0.929229i	$-0.620472\pi$
$751$	6.86425	−	3.96307i	0.250480	−	0.144615i	0.619984	+	0.784614i	$0.287139\pi$
$752$	15.9093	+	30.3407i	0.580153	+	1.10641i
$753$	7.82733	+	5.73044i	0.285244	+	0.208829i
$754$	−18.1107	−	5.05060i	−0.659554	−	0.183932i
$755$	12.2486			0.445774
$756$	24.8739	+	11.7170i	0.904656	+	0.426142i
$757$	11.8910			0.432184			0.216092	−	0.976373i	$-0.430669\pi$
$757$	11.8910			0.432184			0.216092	+	0.976373i	$0.430669\pi$
$758$	6.91683	+	1.92892i	0.251231	+	0.0700615i
$759$	−52.3170	−	38.3016i	−1.89899	−	1.39026i
$760$	6.66561	+	7.08503i	0.241787	+	0.257001i
$761$	−15.7009	+	9.06493i	−0.569158	+	0.328603i	−0.756813	−	0.653632i	$-0.773245\pi$
$761$	−15.7009	+	9.06493i	−0.569158	+	0.328603i	0.187655	+	0.982235i	$0.439911\pi$
$762$	2.71857	+	3.45351i	0.0984835	+	0.125107i
$763$	19.0953	−	26.8360i	0.691296	−	0.971529i
$764$	12.7629	−	21.1034i	0.461746	−	0.763494i
$765$	49.3470	+	10.8643i	1.78414	+	0.392798i
$766$	21.6994	−	5.57857i	0.784030	−	0.201562i
$767$	7.43986	+	4.29541i	0.268638	+	0.155098i
$768$	−26.1820	+	9.08318i	−0.944761	+	0.327761i
$769$	20.1896	+	11.6565i	0.728055	+	0.420343i	0.817710	−	0.575630i	$-0.195243\pi$
$769$	20.1896	+	11.6565i	0.728055	+	0.420343i	−0.0896550	+	0.995973i	$0.528576\pi$
$770$	−45.4237	+	7.18118i	−1.63696	+	0.258792i
$771$	5.17896	+	0.563356i	0.186516	+	0.0202888i
$772$	−21.9966	−	13.3031i	−0.791676	−	0.478791i
$773$	−17.4842	+	10.0945i	−0.628862	+	0.363074i	−0.780311	−	0.625391i	$-0.784939\pi$
$773$	−17.4842	+	10.0945i	−0.628862	+	0.363074i	0.151449	+	0.988465i	$0.451606\pi$
$774$	−5.69009	+	3.55576i	−0.204526	+	0.127809i
$775$	3.29008	−	5.69859i	0.118183	−	0.204699i
$776$	−12.6479	+	42.0321i	−0.454033	+	1.50886i
$777$	10.1116	+	8.99075i	0.362751	+	0.322541i
$778$	−23.6422	−	24.1278i	−0.847615	−	0.865023i
$779$	6.36785	−	3.67648i	0.228152	−	0.131724i
$780$	7.72273	+	18.5279i	0.276518	+	0.663405i
$781$	15.9621	−	27.6472i	0.571169	−	0.989294i
$782$	−50.7755	−	51.8183i	−1.81573	−	1.85302i
$783$	−31.6798	+	6.37379i	−1.13215	+	0.227781i
$784$	−27.2605	−	6.39254i	−0.973590	−	0.228305i
$785$	−13.6235	−	23.5965i	−0.486243	−	0.842197i
$786$	19.5516	+	7.81630i	0.697382	+	0.278798i
$787$	30.0453			1.07100			0.535500	−	0.844535i	$-0.320123\pi$
$787$	30.0453			1.07100			0.535500	+	0.844535i	$0.320123\pi$
$788$	17.4136	+	10.5314i	0.620333	+	0.375165i
$789$	8.38414	+	19.0167i	0.298483	+	0.677012i
$790$	−9.83720	+	2.52899i	−0.349992	+	0.0899775i
$791$	−2.25724	−	0.214720i	−0.0802582	−	0.00763456i
$792$	−19.7226	−	33.0368i	−0.700810	−	1.17391i
$793$	−4.82035	+	8.34910i	−0.171176	+	0.296485i
$794$	−33.0786	+	32.4129i	−1.17391	+	1.15029i
$795$	6.45250	+	14.6354i	0.228846	+	0.519063i
$796$	0.392504	−	19.3054i	0.0139119	−	0.684262i
$797$	−16.4999	−	9.52621i	−0.584456	−	0.337436i	0.178447	−	0.983950i	$-0.442893\pi$
$797$	−16.4999	−	9.52621i	−0.584456	−	0.337436i	−0.762902	+	0.646514i	$0.776226\pi$
$798$	−6.91395	+	4.45157i	−0.244751	+	0.157584i
$799$	−46.0899	+	26.6100i	−1.63054	+	0.941394i
$800$	−4.08324	+	12.6330i	−0.144364	+	0.446644i
$801$	−1.64716	+	7.48161i	−0.0581995	+	0.264350i
$802$	33.2605	−	8.55076i	1.17447	−	0.301938i
$803$	−47.7678			−1.68569
$804$	−26.0003	+	10.8373i	−0.916959	+	0.382203i
$805$	−58.9383	−	5.60651i	−2.07730	−	0.197603i
$806$	−6.05430	+	5.93246i	−0.213254	+	0.208962i
$807$	25.3863	+	2.76147i	0.893640	+	0.0972082i
$808$	2.31685	−	0.545669i	0.0815065	−	0.0191966i
$809$	24.9771	+	43.2616i	0.878148	+	1.52100i	0.853371	+	0.521305i	$0.174554\pi$
$809$	24.9771	+	43.2616i	0.878148	+	1.52100i	0.0247776	+	0.999693i	$0.492112\pi$
$810$	26.2669	+	22.3665i	0.922924	+	0.785880i
$811$	53.0225			1.86187			0.930936	−	0.365182i	$-0.118993\pi$
$811$	53.0225			1.86187			0.930936	+	0.365182i	$0.118993\pi$
$812$	30.2008	−	13.0699i	1.05984	−	0.458664i
$813$	2.51495	−	1.10880i	0.0882031	−	0.0388873i
$814$	−4.71439	−	18.3379i	−0.165239	−	0.642744i
$815$	42.3491			1.48342
$816$	−15.7520	−	40.0658i	−0.551430	−	1.40258i
$817$		−	2.00669i		−	0.0702050i
$818$	−7.40196	−	2.06421i	−0.258804	−	0.0721734i
$819$	−16.5882	+	3.57130i	−0.579637	+	0.124791i
$820$	26.8812	+	16.2572i	0.938733	+	0.567728i
$821$	23.5981			0.823579			0.411790	−	0.911279i	$-0.364904\pi$
$821$	23.5981			0.823579			0.411790	+	0.911279i	$0.364904\pi$
$822$	3.57607	+	24.7870i	0.124730	+	0.864545i
$823$		−	30.8791i		−	1.07638i	−0.842824	−	0.538189i	$-0.819109\pi$
$823$		−	30.8791i		−	1.07638i	0.842824	−	0.538189i	$-0.180891\pi$
$824$	14.1176	+	4.24812i	0.491808	+	0.147990i
$825$	−18.3248	−	1.99333i	−0.637988	−	0.0693990i
$826$	−14.8515	+	2.34793i	−0.516751	+	0.0816949i
$827$		−	14.7708i		−	0.513633i	−0.966460	−	0.256816i	$-0.917326\pi$
$827$		−	14.7708i		−	0.513633i	0.966460	−	0.256816i	$-0.0826735\pi$
$828$	−14.0012	−	47.5138i	−0.486577	−	1.65122i
$829$	−36.5377	+	21.0950i	−1.26901	+	0.732661i	−0.974800	−	0.223081i	$-0.928388\pi$
$829$	−36.5377	+	21.0950i	−1.26901	+	0.732661i	−0.294206	+	0.955742i	$0.595055\pi$
$830$	0.721294	−	0.706778i	0.0250365	−	0.0245326i
$831$	−38.5791	+	17.0089i	−1.33829	+	0.590031i
$832$	9.43799	−	14.2624i	0.327203	−	0.494459i
$833$	8.20112	−	42.7170i	0.284152	−	1.48006i
$834$	−0.0276187	−	0.191435i	−0.000956358	−	0.00662886i
$835$			34.6319i			1.19849i
$836$	11.5047	+	0.233905i	0.397898	+	0.00808979i
$837$	−4.65256	+	13.8054i	−0.160816	+	0.477185i
$838$	−10.1814	−	10.3905i	−0.351711	−	0.358935i
$839$	−16.9216	−	29.3092i	−0.584200	−	1.01186i	−0.994975	−	0.100127i	$-0.968075\pi$
$839$	−16.9216	−	29.3092i	−0.584200	−	1.01186i	0.410774	−	0.911737i	$-0.365258\pi$
$840$	−30.9074	−	16.7040i	−1.06641	−	0.576343i
$841$	−4.83773	+	8.37919i	−0.166818	+	0.288938i
$842$	11.6327	−	2.99058i	0.400889	−	0.103062i
$843$	−0.908594	+	8.35275i	−0.0312937	+	0.287684i
$844$	0.125593	+	0.228120i	0.00432308	+	0.00785220i
$845$	19.7881	+	11.4247i	0.680731	+	0.393020i
$846$	−36.3148	+	1.26904i	−1.24853	+	0.0436306i
$847$	−14.6660	+	20.6113i	−0.503931	+	0.708212i
$848$	7.28787	−	11.5152i	0.250267	−	0.395432i
$849$	−22.8793	−	16.7501i	−0.785216	−	0.574862i
$850$	−19.8666	−	5.54027i	−0.681419	−	0.190030i
$851$		−	24.3758i		−	0.835591i
$852$	22.5113	−	9.38309i	0.771226	−	0.321459i
$853$	−21.3822	+	12.3450i	−0.732113	+	0.422686i	−0.819195	−	0.573515i	$-0.805579\pi$
$853$	−21.3822	+	12.3450i	−0.732113	+	0.422686i	0.0870815	+	0.996201i	$0.472246\pi$
$854$	−2.63487	−	16.6666i	−0.0901634	−	0.570318i
$855$	−9.83569	+	3.11700i	−0.336373	+	0.106599i
$856$	−35.5270	+	8.36740i	−1.21429	+	0.285992i
$857$	21.3784	+	12.3428i	0.730273	+	0.421624i	0.818522	−	0.574475i	$-0.194794\pi$
$857$	21.3784	+	12.3428i	0.730273	+	0.421624i	−0.0882487	+	0.996098i	$0.528127\pi$
$858$	22.0481	+	8.81435i	0.752709	+	0.300917i
$859$	9.13125	+	15.8158i	0.311554	+	0.539628i	0.978699	−	0.205300i	$-0.0658171\pi$
$859$	9.13125	+	15.8158i	0.311554	+	0.539628i	−0.667145	+	0.744928i	$0.732484\pi$
$860$	7.51039	−	4.13489i	0.256102	−	0.140999i
$861$	−17.6457	+	19.8455i	−0.601365	+	0.676334i
$862$	1.34782	+	5.24272i	0.0459070	+	0.178568i
$863$	−25.7806	−	14.8844i	−0.877582	−	0.506672i	−0.00772143	−	0.999970i	$-0.502458\pi$
$863$	−25.7806	−	14.8844i	−0.877582	−	0.506672i	−0.869860	+	0.493298i	$0.835791\pi$
$864$	3.34591	−	29.2028i	0.113830	−	0.993500i
$865$	−5.06166	−	8.76706i	−0.172102	−	0.298089i
$866$	47.0623	+	13.1244i	1.59924	+	0.445986i
$867$	34.2524	−	15.1013i	1.16327	−	0.512868i
$868$	1.70482	−	14.7374i	0.0578654	−	0.500219i
$869$	−6.00750	+	10.4053i	−0.203791	+	0.352976i
$870$	40.8671	−	5.89598i	1.38553	−	0.199893i
$871$	8.69178	−	15.0546i	0.294510	−	0.510106i
$872$	−33.7170	−	10.1458i	−1.14180	−	0.343581i
$873$	−34.3709	−	31.4028i	−1.16328	−	1.06282i
$874$	14.2696	+	3.97942i	0.482677	+	0.134606i
$875$	17.3037	−	7.90986i	0.584971	−	0.267402i
$876$	−29.0005	−	22.1508i	−0.979836	−	0.748406i
$877$	−8.75286	−	15.1604i	−0.295563	−	0.511930i	0.679553	−	0.733627i	$-0.262174\pi$
$877$	−8.75286	−	15.1604i	−0.295563	−	0.511930i	−0.975116	+	0.221696i	$0.928841\pi$
$878$	12.3001	−	44.1066i	0.415110	−	1.48852i
$879$	18.3575	+	41.6380i	0.619183	+	1.40441i
$880$	22.8307	+	43.5404i	0.769621	+	1.46775i
$881$			26.9019i			0.906347i	0.891422	+	0.453174i	$0.149708\pi$
$881$			26.9019i			0.906347i	−0.891422	+	0.453174i	$0.850292\pi$
$882$	18.6360	−	23.1236i	0.627506	−	0.778611i
$883$			45.9843i			1.54749i	0.633495	+	0.773747i	$0.281620\pi$
$883$			45.9843i			1.54749i	−0.633495	+	0.773747i	$0.718380\pi$
$884$	22.7338	+	13.7490i	0.764621	+	0.462428i
$885$	−18.7555	−	2.04018i	−0.630459	−	0.0685800i
$886$	17.0439	+	4.75308i	0.572600	+	0.159683i
$887$	−4.18020	−	7.24033i	−0.140358	−	0.243106i	0.787274	−	0.616604i	$-0.211492\pi$
$887$	−4.18020	−	7.24033i	−0.140358	−	0.243106i	−0.927631	+	0.373497i	$0.878159\pi$
$888$	5.64145	−	13.3194i	0.189315	−	0.446969i
$889$	4.31759	−	1.97366i	0.144807	−	0.0661943i
$890$	2.62945	−	9.42885i	0.0881395	−	0.316056i
$891$	40.6442	−	3.67572i	1.36163	−	0.123141i
$892$	−0.322234	+	15.8491i	−0.0107892	+	0.530668i
$893$	5.43366	−	9.41137i	0.181830	−	0.314940i
$894$	40.4216	+	16.1597i	1.35190	+	0.540461i
$895$	−31.2823	+	54.1826i	−1.04565	+	1.81112i
$896$	2.86352	+	29.7960i	0.0956635	+	0.995414i
$897$	24.6652	+	18.0576i	0.823547	+	0.602924i
$898$	2.95959	−	10.6127i	0.0987629	−	0.354150i
$899$	8.71797	+	15.1000i	0.290761	+	0.503612i
$900$	−10.2009	−	9.70774i	−0.340031	−	0.323591i
$901$	18.3338	+	10.5850i	0.610789	+	0.352639i
$902$	35.9910	−	9.25272i	1.19837	−	0.308082i
$903$	2.28257	+	6.87850i	0.0759593	+	0.228902i
$904$	0.555697	+	2.35943i	0.0184822	+	0.0784734i
$905$	−6.07368	−	10.5199i	−0.201896	−	0.349694i
$906$	10.9556	−	1.58058i	0.363975	−	0.0525114i
$907$	37.5311	+	21.6686i	1.24620	+	0.719493i	0.970349	−	0.241707i	$-0.0777074\pi$
$907$	37.5311	+	21.6686i	1.24620	+	0.719493i	0.275850	+	0.961201i	$0.411041\pi$
$908$	16.6437	−	9.16328i	0.552340	−	0.304094i
$909$	−0.542824	+	2.46558i	−0.0180043	+	0.0817781i
$910$	21.4153	−	3.38561i	0.709910	−	0.112232i
$911$	47.4982	−	27.4231i	1.57368	−	0.908567i	0.577972	−	0.816056i	$-0.303844\pi$
$911$	47.4982	−	27.4231i	1.57368	−	0.908567i	0.995712	−	0.0925104i	$-0.0294891\pi$
$912$	6.87620	+	5.47695i	0.227694	+	0.181360i
$913$		−	1.19457i		−	0.0395346i
$914$	−14.5494	+	52.1721i	−0.481252	+	1.72570i
$915$	2.28952	−	21.0476i	0.0756891	−	0.695813i
$916$	−9.50326	−	0.193214i	−0.313997	−	0.00638396i
$917$	13.1857	−	18.5308i	0.435429	−	0.611941i
$918$	45.5395	+	3.34955i	1.50303	+	0.110552i
$919$	34.3270	+	19.8187i	1.13234	+	0.653759i	0.944523	−	0.328444i	$-0.106524\pi$
$919$	34.3270	+	19.8187i	1.13234	+	0.653759i	0.187821	+	0.982203i	$0.439858\pi$
$920$	14.5097	+	61.6065i	0.478371	+	2.03111i
$921$	−5.64941	−	4.13597i	−0.186154	−	0.136285i
$922$	7.13282	+	27.7450i	0.234907	+	0.913734i
$923$	−7.52544	+	13.0345i	−0.247703	+	0.429034i
$924$	−39.7018	+	12.2846i	−1.30609	+	0.404134i
$925$	−3.46487	−	6.00133i	−0.113924	−	0.197323i
$926$	−24.5311	+	24.0374i	−0.806142	+	0.789918i
$927$	−10.5474	+	11.5444i	−0.346424	+	0.379167i
$928$	−23.5800	−	26.1074i	−0.774053	−	0.857017i
$929$			14.2257i			0.466731i	0.972389	+	0.233365i	$0.0749738\pi$
$929$			14.2257i			0.466731i	−0.972389	+	0.233365i	$0.925026\pi$
$930$	6.91006	−	17.2847i	0.226590	−	0.566788i
$931$	2.91105	+	8.39136i	0.0954057	+	0.275016i
$932$	26.5566	−	14.6209i	0.869891	−	0.478924i
$933$	−22.9427	−	16.7965i	−0.751111	−	0.549893i
$934$	−30.0432	−	30.6603i	−0.983045	−	1.00323i
$935$	−66.1412	+	38.1867i	−2.16305	+	1.24884i
$936$	9.29833	+	15.5754i	0.303925	+	0.509098i
$937$			9.95411i			0.325187i	0.986693	+	0.162593i	$0.0519859\pi$
$937$			9.95411i			0.325187i	−0.986693	+	0.162593i	$0.948014\pi$
$938$	4.75105	+	30.0522i	0.155127	+	0.981239i
$939$	21.6643	−	29.5917i	0.706988	−	0.965690i
$940$	46.4202	+	0.943783i	1.51406	+	0.0307828i
$941$			15.9068i			0.518545i	0.965804	+	0.259273i	$0.0834829\pi$
$941$			15.9068i			0.518545i	−0.965804	+	0.259273i	$0.916517\pi$
$942$	−15.2302	−	19.3475i	−0.496227	−	0.630377i
$943$	47.8412			1.55792
$944$	7.46462	+	14.2358i	0.242953	+	0.463336i
$945$	30.1692	−	21.8724i	0.981403	−	0.711508i
$946$	2.72428	−	9.76889i	0.0885741	−	0.317614i
$947$		−	45.5669i		−	1.48072i	−0.672208	−	0.740362i	$-0.734654\pi$
$947$		−	45.5669i		−	1.48072i	0.672208	−	0.740362i	$-0.265346\pi$
$948$	−8.47238	+	3.53142i	−0.275170	+	0.114695i
$949$	22.5204			0.731044
$950$	4.07884	−	1.04861i	0.132335	−	0.0340213i
$951$	42.7121	+	31.2698i	1.38503	+	1.01399i
$952$	−46.0681	+	6.32610i	−1.49308	+	0.205030i
$953$	−18.2038			−0.589678			−0.294839	−	0.955547i	$-0.595266\pi$
$953$	−18.2038			−0.589678			−0.294839	+	0.955547i	$0.595266\pi$
$954$	7.65990	+	12.2577i	0.247998	+	0.396858i
$955$	−16.7122	−	28.9464i	−0.540794	−	0.936683i
$956$	−18.0740	−	32.8286i	−0.584554	−	1.06175i
$957$	28.8526	−	39.4103i	0.932671	−	1.27395i
$958$	21.8765	+	22.3258i	0.706798	+	0.721314i
$959$	26.9286	+	2.56159i	0.869571	+	0.0827179i
$960$	−6.32966	+	37.0210i	−0.204289	+	1.19485i
$961$	−23.1394			−0.746432
$962$	2.22263	+	8.64554i	0.0716606	+	0.278743i
$963$	8.32377	−	37.8077i	0.268230	−	1.21834i
$964$	−24.1205	−	43.8112i	−0.776870	−	1.41106i
$965$	−30.1716	+	17.4196i	−0.971258	+	0.560756i
$966$	−53.4399	+	2.59085i	−1.71940	+	0.0833592i
$967$	−51.7544	−	29.8804i	−1.66431	−	0.960889i	−0.970621	−	0.240613i	$-0.922652\pi$
$967$	−51.7544	−	29.8804i	−1.66431	−	0.960889i	−0.693687	−	0.720276i	$-0.744015\pi$
$968$	25.8962	+	7.79244i	0.832335	+	0.250459i
$969$	−8.06706	+	11.0190i	−0.259151	+	0.353980i
$970$	41.6345	+	42.4895i	1.33680	+	1.36426i
$971$	13.8644	−	24.0138i	0.444929	−	0.770640i	−0.553118	−	0.833103i	$-0.686562\pi$
$971$	13.8644	−	24.0138i	0.444929	−	0.770640i	0.998047	+	0.0624631i	$0.0198956\pi$
$972$	26.3802	+	16.6159i	0.846144	+	0.532954i
$973$	−0.207976	−	0.0197837i	−0.00666739	−	0.000634236i
$974$	−0.734918	−	2.85867i	−0.0235483	−	0.0915976i
$975$	8.63936	+	0.939771i	0.276681	+	0.0300968i
$976$	−15.9756	+	8.37688i	−0.511365	+	0.268137i
$977$	3.27200			0.104681			0.0523403	−	0.998629i	$-0.483332\pi$
$977$	3.27200			0.104681			0.0523403	+	0.998629i	$0.483332\pi$
$978$	37.8784	−	5.46479i	1.21122	−	0.174745i
$979$	−5.78957	−	10.0278i	−0.185036	−	0.320491i
$980$	−25.4078	+	28.1860i	−0.811623	+	0.900369i
$981$	25.1905	−	27.5714i	0.804271	−	0.880289i
$982$	−15.7614	+	15.4442i	−0.502967	+	0.492845i
$983$	−18.3387	+	31.7635i	−0.584912	+	1.01310i	0.409974	+	0.912097i	$0.365538\pi$
$983$	−18.3387	+	31.7635i	−0.584912	+	1.01310i	−0.994886	+	0.101001i	$0.967796\pi$
$984$	26.1413	+	11.0722i	0.833355	+	0.352970i
$985$	23.8853	−	13.7902i	0.761048	−	0.439391i
$986$	39.0347	−	38.2491i	1.24312	−	1.21810i
$987$	−7.92017	+	38.4409i	−0.252102	+	1.22359i
$988$	−5.42397	−	0.110276i	−0.172559	−	0.00350836i
$989$	6.52814	−	11.3071i	0.207583	−	0.359544i
$990$	−52.1135	+	1.82114i	−1.65627	+	0.0578796i
$991$	15.1697	−	8.75822i	0.481881	−	0.278214i	−0.239319	−	0.970941i	$-0.576924\pi$
$991$	15.1697	−	8.75822i	0.481881	−	0.278214i	0.721200	+	0.692727i	$0.243591\pi$
$992$	−15.5083	+	3.32134i	−0.492390	+	0.105453i
$993$	34.3050	−	46.8579i	1.08863	−	1.48699i
$994$	−4.11351	−	26.0195i	−0.130473	−	0.825289i
$995$	−22.6633	−	13.0847i	−0.718476	−	0.414812i
$996$	0.553945	−	0.725242i	0.0175524	−	0.0229802i
$997$	13.6620	+	7.88775i	0.432680	+	0.249808i	0.700488	−	0.713665i	$-0.252966\pi$
$997$	13.6620	+	7.88775i	0.432680	+	0.249808i	−0.267808	+	0.963472i	$0.586299\pi$
$998$	−0.932768	−	3.62826i	−0.0295263	−	0.114850i
$999$	10.1411	+	11.5127i	0.320852	+	0.364246i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.18	yes	84
3.2	odd	2		756.2.bj.b.523.25		84
4.3	odd	2	inner	252.2.bj.b.103.17	yes	84
7.3	odd	6		252.2.n.b.31.12	✓	84
9.2	odd	6		756.2.n.b.19.3		84
9.7	even	3		252.2.n.b.187.40	yes	84
12.11	even	2		756.2.bj.b.523.26		84
21.17	even	6		756.2.n.b.199.31		84
28.3	even	6		252.2.n.b.31.40	yes	84
36.7	odd	6		252.2.n.b.187.12	yes	84
36.11	even	6		756.2.n.b.19.31		84
63.38	even	6		756.2.bj.b.451.25		84
63.52	odd	6	inner	252.2.bj.b.115.18	yes	84
84.59	odd	6		756.2.n.b.199.3		84
252.115	even	6	inner	252.2.bj.b.115.17	yes	84
252.227	odd	6		756.2.bj.b.451.26		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.12	✓	84	7.3	odd	6
252.2.n.b.31.40	yes	84	28.3	even	6
252.2.n.b.187.12	yes	84	36.7	odd	6
252.2.n.b.187.40	yes	84	9.7	even	3
252.2.bj.b.103.17	yes	84	4.3	odd	2	inner
252.2.bj.b.103.18	yes	84	1.1	even	1	trivial
252.2.bj.b.115.17	yes	84	252.115	even	6	inner
252.2.bj.b.115.18	yes	84	63.52	odd	6	inner
756.2.n.b.19.3		84	9.2	odd	6
756.2.n.b.19.31		84	36.11	even	6
756.2.n.b.199.3		84	84.59	odd	6
756.2.n.b.199.31		84	21.17	even	6
756.2.bj.b.451.25		84	63.38	even	6
756.2.bj.b.451.26		84	252.227	odd	6
756.2.bj.b.523.25		84	3.2	odd	2
756.2.bj.b.523.26		84	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-0.379891 + 1.36223i) q^{2} +(1.39755 + 1.02316i) q^{3} +(-1.71137 - 1.03500i) q^{4} +(-2.34739 + 1.35527i) q^{5} +(-1.92470 + 1.51511i) q^{6} +(1.09995 + 2.40626i) q^{7} +(2.06005 - 1.93809i) q^{8} +(0.906301 + 2.85983i) q^{9} +O(q^{10})\)	\(q+(-0.379891 + 1.36223i) q^{2} +(1.39755 + 1.02316i) q^{3} +(-1.71137 - 1.03500i) q^{4} +(-2.34739 + 1.35527i) q^{5} +(-1.92470 + 1.51511i) q^{6} +(1.09995 + 2.40626i) q^{7} +(2.06005 - 1.93809i) q^{8} +(0.906301 + 2.85983i) q^{9} +(-0.954438 - 3.71255i) q^{10} +(-3.92695 - 2.26722i) q^{11} +(-1.33275 - 3.19746i) q^{12} +(1.85139 + 1.06890i) q^{13} +(-3.69576 + 0.584274i) q^{14} +(-4.66725 - 0.507693i) q^{15} +(1.85755 + 3.54253i) q^{16} +(-5.38138 + 3.10694i) q^{17} +(-4.24005 + 0.148171i) q^{18} +(0.634425 - 1.09886i) q^{19} +(5.41994 + 0.110195i) q^{20} +(-0.924746 + 4.48830i) q^{21} +(4.58030 - 4.48813i) q^{22} +(7.14959 - 4.12782i) q^{23} +(4.86200 - 0.600836i) q^{24} +(1.17349 - 2.03254i) q^{25} +(-2.15941 + 2.11596i) q^{26} +(-1.65945 + 4.92405i) q^{27} +(0.608066 - 5.25645i) q^{28} +(3.10948 + 5.38578i) q^{29} +(2.46464 - 6.16502i) q^{30} +2.80368 q^{31} +(-5.53142 + 1.18464i) q^{32} +(-3.16839 - 7.18644i) q^{33} +(-2.18804 - 8.51100i) q^{34} +(-5.84314 - 4.15771i) q^{35} +(1.40891 - 5.83223i) q^{36} +(1.47631 - 2.55705i) q^{37} +(1.25589 + 1.28168i) q^{38} +(1.49376 + 3.38810i) q^{39} +(-2.20910 + 7.34137i) q^{40} +(5.01860 + 2.89749i) q^{41} +(-5.76282 - 2.96479i) q^{42} +(1.36962 - 0.790750i) q^{43} +(4.37386 + 7.94444i) q^{44} +(-6.00327 - 5.48485i) q^{45} +(2.90699 + 11.3075i) q^{46} +8.56470 q^{47} +(-1.02855 + 6.85143i) q^{48} +(-4.58021 + 5.29355i) q^{49} +(2.32300 + 2.37071i) q^{50} +(-10.6996 - 1.16388i) q^{51} +(-2.06209 - 3.74546i) q^{52} +(-1.70345 - 2.95046i) q^{53} +(-6.07729 - 4.13116i) q^{54} +12.2908 q^{55} +(6.92952 + 2.82521i) q^{56} +(2.01094 - 0.886592i) q^{57} +(-8.51795 + 2.18983i) q^{58} +4.01854 q^{59} +(7.46190 + 5.69945i) q^{60} +4.50965i q^{61} +(-1.06509 + 3.81926i) q^{62} +(-5.88462 + 5.32647i) q^{63} +(0.487582 - 7.98513i) q^{64} -5.79456 q^{65} +(10.9933 - 1.58602i) q^{66} -8.13154i q^{67} +(12.4252 + 0.252620i) q^{68} +(14.2153 + 1.54631i) q^{69} +(7.88353 - 6.38025i) q^{70} +7.04037i q^{71} +(7.40964 + 4.13488i) q^{72} +(9.12307 - 5.26721i) q^{73} +(2.92246 + 2.98248i) q^{74} +(3.71962 - 1.63992i) q^{75} +(-2.22305 + 1.22391i) q^{76} +(1.13609 - 11.9431i) q^{77} +(-5.18285 + 0.747740i) q^{78} -2.64972i q^{79} +(-9.16145 - 5.79823i) q^{80} +(-7.35724 + 5.18373i) q^{81} +(-5.85358 + 5.73578i) q^{82} +(0.131722 + 0.228149i) q^{83} +(6.22797 - 6.72401i) q^{84} +(8.42146 - 14.5864i) q^{85} +(0.556881 + 2.16614i) q^{86} +(-1.16484 + 10.7084i) q^{87} +(-12.4838 + 2.94021i) q^{88} +(2.21148 + 1.27680i) q^{89} +(9.75224 - 6.09421i) q^{90} +(-0.535616 + 5.63066i) q^{91} +(-16.5079 - 0.335626i) q^{92} +(3.91828 + 2.86860i) q^{93} +(-3.25365 + 11.6671i) q^{94} +3.43926i q^{95} +(-8.94252 - 4.00392i) q^{96} +(-13.4397 + 7.75940i) q^{97} +(-5.47107 - 8.25030i) q^{98} +(2.92488 - 13.2852i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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