LMFDB - Embedded newform 150.2.g.c.61.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(31,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("150.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.g (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.1064390625.3
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 2x^{7} - 3x^{6} - 5x^{5} + 36x^{4} - 35x^{3} + 23x^{2} - 171x + 361 $ x^8 - 2x^7 - 3x^6 - 5x^5 + 36x^4 - 35x^3 + 23x^2 - 171*x + 361
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			61.2
Root			$2.36886 - 0.0809628i$ of defining polynomial
Character	$\chi$	$=$	150.61
Dual form			150.2.g.c.91.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.17787 + 0.506822i) q^{5} +(-0.309017 - 0.951057i) q^{6} -2.31003 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.17787 + 0.506822i) q^{5} +(-0.309017 - 0.951057i) q^{6} -2.31003 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(2.05984 - 0.870094i) q^{10} +(-2.77305 + 2.01474i) q^{11} +(-0.809017 - 0.587785i) q^{12} +(3.98689 + 2.89665i) q^{13} +(-1.86886 + 1.35780i) q^{14} +(1.15502 - 1.91466i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-2.36886 - 7.29059i) q^{17} -1.00000 q^{18} +(1.00000 + 3.07768i) q^{19} +(1.15502 - 1.91466i) q^{20} +(-0.713839 + 2.19697i) q^{21} +(-1.05921 + 3.25992i) q^{22} +(-3.61803 + 2.62866i) q^{23} -1.00000 q^{24} +(4.48626 + 2.20759i) q^{25} +4.92807 q^{26} +(-0.809017 + 0.587785i) q^{27} +(-0.713839 + 2.19697i) q^{28} +(-2.13279 + 6.56405i) q^{29} +(-0.190983 - 2.22790i) q^{30} +(1.09581 + 3.37254i) q^{31} -1.00000 q^{32} +(1.05921 + 3.25992i) q^{33} +(-6.20175 - 4.50583i) q^{34} +(-5.03096 - 1.17078i) q^{35} +(-0.809017 + 0.587785i) q^{36} +(-3.20175 - 2.32620i) q^{37} +(2.61803 + 1.90211i) q^{38} +(3.98689 - 2.89665i) q^{39} +(-0.190983 - 2.22790i) q^{40} +(0.132788 + 0.0964762i) q^{41} +(0.713839 + 2.19697i) q^{42} +6.71149 q^{43} +(1.05921 + 3.25992i) q^{44} +(-1.46403 - 1.69015i) q^{45} +(-1.38197 + 4.25325i) q^{46} +(1.92807 - 5.93398i) q^{47} +(-0.809017 + 0.587785i) q^{48} -1.66375 q^{49} +(4.92705 - 0.850981i) q^{50} -7.66578 q^{51} +(3.98689 - 2.89665i) q^{52} +(3.69971 - 11.3865i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-7.06047 + 2.98240i) q^{55} +(0.713839 + 2.19697i) q^{56} +3.23607 q^{57} +(2.13279 + 6.56405i) q^{58} +(-8.62715 - 6.26799i) q^{59} +(-1.46403 - 1.69015i) q^{60} +(0.249178 - 0.181038i) q^{61} +(2.86886 + 2.08435i) q^{62} +(1.86886 + 1.35780i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(7.21486 + 8.32917i) q^{65} +(2.77305 + 2.01474i) q^{66} +(-1.42642 - 4.39008i) q^{67} -7.66578 q^{68} +(1.38197 + 4.25325i) q^{69} +(-4.75830 + 2.00995i) q^{70} +(0.117646 - 0.362077i) q^{71} +(-0.309017 + 0.951057i) q^{72} +(0.0608552 - 0.0442139i) q^{73} -3.95758 q^{74} +(3.48587 - 3.58451i) q^{75} +3.23607 q^{76} +(6.40584 - 4.65411i) q^{77} +(1.52286 - 4.68687i) q^{78} +(4.72296 - 14.5358i) q^{79} +(-1.46403 - 1.69015i) q^{80} +(0.309017 + 0.951057i) q^{81} +0.164135 q^{82} +(0.403806 + 1.24279i) q^{83} +(1.86886 + 1.35780i) q^{84} +(-1.46403 - 17.0786i) q^{85} +(5.42971 - 3.94492i) q^{86} +(5.58371 + 4.05680i) q^{87} +(2.77305 + 2.01474i) q^{88} +(-3.58371 + 2.60372i) q^{89} +(-2.17787 - 0.506822i) q^{90} +(-9.20985 - 6.69135i) q^{91} +(1.38197 + 4.25325i) q^{92} +3.54610 q^{93} +(-1.92807 - 5.93398i) q^{94} +(0.618034 + 7.20963i) q^{95} +(-0.309017 + 0.951057i) q^{96} +(-5.31876 + 16.3695i) q^{97} +(-1.34600 + 0.977926i) q^{98} +3.42768 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} - 2 q^{3} - 2 q^{4} - 4 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 - 2 * q^3 - 2 * q^4 - 4 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 - 2 * q^9	\( 8 q + 2 q^{2} - 2 q^{3} - 2 q^{4} - 4 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} - 2 q^{9} + 4 q^{10} - 5 q^{11} - 2 q^{12} + 6 q^{13} + 2 q^{14} + q^{15} - 2 q^{16} - 2 q^{17} - 8 q^{18} + 8 q^{19} + q^{20} + 3 q^{21} - 20 q^{23} - 8 q^{24} + 14 q^{25} + 14 q^{26} - 2 q^{27} + 3 q^{28} - 18 q^{29} - 6 q^{30} + 9 q^{31} - 8 q^{32} - 3 q^{34} - 4 q^{35} - 2 q^{36} + 21 q^{37} + 12 q^{38} + 6 q^{39} - 6 q^{40} + 2 q^{41} - 3 q^{42} - 32 q^{43} + q^{45} - 20 q^{46} - 10 q^{47} - 2 q^{48} + 22 q^{49} + 26 q^{50} - 2 q^{51} + 6 q^{52} + 7 q^{53} + 2 q^{54} - 40 q^{55} - 3 q^{56} + 8 q^{57} + 18 q^{58} - 25 q^{59} + q^{60} + 10 q^{61} + 6 q^{62} - 2 q^{63} - 2 q^{64} + 37 q^{65} + 5 q^{66} - 2 q^{67} - 2 q^{68} + 20 q^{69} - 11 q^{70} + 2 q^{72} - 24 q^{73} - 26 q^{74} + 14 q^{75} + 8 q^{76} + 35 q^{77} - q^{78} - 6 q^{79} + q^{80} - 2 q^{81} - 42 q^{82} + 11 q^{83} - 2 q^{84} + q^{85} + 2 q^{86} + 7 q^{87} + 5 q^{88} + 9 q^{89} + 4 q^{90} - 4 q^{91} + 20 q^{92} - 6 q^{93} + 10 q^{94} - 4 q^{95} + 2 q^{96} + q^{97} - 7 q^{98} + 10 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 - 2 * q^3 - 2 * q^4 - 4 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 - 2 * q^9 + 4 * q^10 - 5 * q^11 - 2 * q^12 + 6 * q^13 + 2 * q^14 + q^15 - 2 * q^16 - 2 * q^17 - 8 * q^18 + 8 * q^19 + q^20 + 3 * q^21 - 20 * q^23 - 8 * q^24 + 14 * q^25 + 14 * q^26 - 2 * q^27 + 3 * q^28 - 18 * q^29 - 6 * q^30 + 9 * q^31 - 8 * q^32 - 3 * q^34 - 4 * q^35 - 2 * q^36 + 21 * q^37 + 12 * q^38 + 6 * q^39 - 6 * q^40 + 2 * q^41 - 3 * q^42 - 32 * q^43 + q^45 - 20 * q^46 - 10 * q^47 - 2 * q^48 + 22 * q^49 + 26 * q^50 - 2 * q^51 + 6 * q^52 + 7 * q^53 + 2 * q^54 - 40 * q^55 - 3 * q^56 + 8 * q^57 + 18 * q^58 - 25 * q^59 + q^60 + 10 * q^61 + 6 * q^62 - 2 * q^63 - 2 * q^64 + 37 * q^65 + 5 * q^66 - 2 * q^67 - 2 * q^68 + 20 * q^69 - 11 * q^70 + 2 * q^72 - 24 * q^73 - 26 * q^74 + 14 * q^75 + 8 * q^76 + 35 * q^77 - q^78 - 6 * q^79 + q^80 - 2 * q^81 - 42 * q^82 + 11 * q^83 - 2 * q^84 + q^85 + 2 * q^86 + 7 * q^87 + 5 * q^88 + 9 * q^89 + 4 * q^90 - 4 * q^91 + 20 * q^92 - 6 * q^93 + 10 * q^94 - 4 * q^95 + 2 * q^96 + q^97 - 7 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

Coefficient data

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

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

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

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	2.17787	+	0.506822i	0.973974	+	0.226658i
$5$	2.17787	+	0.506822i	0.973974	+	0.226658i
$6$	−0.309017	−	0.951057i	−0.126156	−	0.388267i
$7$	−2.31003			−0.873110			−0.436555	−	0.899677i	$-0.643802\pi$
$7$	−2.31003			−0.873110			−0.436555	+	0.899677i	$0.643802\pi$
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	2.05984	−	0.870094i	0.651378	−	0.275148i
$11$	−2.77305	+	2.01474i	−0.836106	+	0.607467i	−0.921280	−	0.388899i	$-0.872855\pi$
$11$	−2.77305	+	2.01474i	−0.836106	+	0.607467i	0.0851740	+	0.996366i	$0.472855\pi$
$12$	−0.809017	−	0.587785i	−0.233543	−	0.169679i
$13$	3.98689	+	2.89665i	1.10576	+	0.803385i	0.981991	−	0.188926i	$-0.0605005\pi$
$13$	3.98689	+	2.89665i	1.10576	+	0.803385i	0.123773	+	0.992311i	$0.460501\pi$
$14$	−1.86886	+	1.35780i	−0.499473	+	0.362888i
$15$	1.15502	−	1.91466i	0.298224	−	0.494364i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	−2.36886	−	7.29059i	−0.574532	−	1.76823i	−0.637767	−	0.770229i	$-0.720142\pi$
$17$	−2.36886	−	7.29059i	−0.574532	−	1.76823i	0.0632354	−	0.997999i	$-0.479858\pi$
$18$	−1.00000			−0.235702
$19$	1.00000	+	3.07768i	0.229416	+	0.706069i	0.997813	+	0.0660962i	$0.0210544\pi$
$19$	1.00000	+	3.07768i	0.229416	+	0.706069i	−0.768398	+	0.639973i	$0.778946\pi$
$20$	1.15502	−	1.91466i	0.258270	−	0.428132i
$21$	−0.713839	+	2.19697i	−0.155773	+	0.479419i
$22$	−1.05921	+	3.25992i	−0.225825	+	0.695017i
$23$	−3.61803	+	2.62866i	−0.754412	+	0.548113i	−0.897191	−	0.441642i	$-0.854396\pi$
$23$	−3.61803	+	2.62866i	−0.754412	+	0.548113i	0.142779	+	0.989755i	$0.454396\pi$
$24$	−1.00000			−0.204124
$25$	4.48626	+	2.20759i	0.897252	+	0.441518i
$26$	4.92807			0.966473
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	−0.713839	+	2.19697i	−0.134903	+	0.415189i
$29$	−2.13279	+	6.56405i	−0.396049	+	1.21891i	0.532093	+	0.846686i	$0.321406\pi$
$29$	−2.13279	+	6.56405i	−0.396049	+	1.21891i	−0.928142	+	0.372227i	$0.878594\pi$
$30$	−0.190983	−	2.22790i	−0.0348686	−	0.406756i
$31$	1.09581	+	3.37254i	0.196812	+	0.605727i	0.999951	+	0.00993372i	$0.00316205\pi$
$31$	1.09581	+	3.37254i	0.196812	+	0.605727i	−0.803138	+	0.595793i	$0.796838\pi$
$32$	−1.00000			−0.176777
$33$	1.05921	+	3.25992i	0.184385	+	0.567479i
$34$	−6.20175	−	4.50583i	−1.06359	−	0.772744i
$35$	−5.03096	−	1.17078i	−0.850387	−	0.197897i
$36$	−0.809017	+	0.587785i	−0.134836	+	0.0979642i
$37$	−3.20175	−	2.32620i	−0.526364	−	0.382426i	0.292632	−	0.956225i	$-0.405469\pi$
$37$	−3.20175	−	2.32620i	−0.526364	−	0.382426i	−0.818996	+	0.573799i	$0.805469\pi$
$38$	2.61803	+	1.90211i	0.424701	+	0.308563i
$39$	3.98689	−	2.89665i	0.638413	−	0.463834i
$40$	−0.190983	−	2.22790i	−0.0301971	−	0.352261i
$41$	0.132788	+	0.0964762i	0.0207380	+	0.0150670i	0.598106	−	0.801417i	$-0.295920\pi$
$41$	0.132788	+	0.0964762i	0.0207380	+	0.0150670i	−0.577368	+	0.816484i	$0.695920\pi$
$42$	0.713839	+	2.19697i	0.110148	+	0.339000i
$43$	6.71149			1.02349			0.511746	−	0.859137i	$-0.328999\pi$
$43$	6.71149			1.02349			0.511746	+	0.859137i	$0.328999\pi$
$44$	1.05921	+	3.25992i	0.159682	+	0.491451i
$45$	−1.46403	−	1.69015i	−0.218245	−	0.251953i
$46$	−1.38197	+	4.25325i	−0.203760	+	0.627108i
$47$	1.92807	−	5.93398i	0.281237	−	0.865560i	−0.706264	−	0.707949i	$-0.749621\pi$
$47$	1.92807	−	5.93398i	0.281237	−	0.865560i	0.987501	−	0.157611i	$-0.0503793\pi$
$48$	−0.809017	+	0.587785i	−0.116772	+	0.0848395i
$49$	−1.66375			−0.237678
$50$	4.92705	−	0.850981i	0.696790	−	0.120347i
$51$	−7.66578			−1.07342
$52$	3.98689	−	2.89665i	0.552882	−	0.401692i
$53$	3.69971	−	11.3865i	0.508195	−	1.56406i	−0.287138	−	0.957889i	$-0.592704\pi$
$53$	3.69971	−	11.3865i	0.508195	−	1.56406i	0.795333	−	0.606173i	$-0.207296\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	−7.06047	+	2.98240i	−0.952033	+	0.402147i
$56$	0.713839	+	2.19697i	0.0953908	+	0.293583i
$57$	3.23607			0.428628
$58$	2.13279	+	6.56405i	0.280049	+	0.861902i
$59$	−8.62715	−	6.26799i	−1.12316	−	0.816023i	−0.138475	−	0.990366i	$-0.544220\pi$
$59$	−8.62715	−	6.26799i	−1.12316	−	0.816023i	−0.984685	+	0.174343i	$0.944220\pi$
$60$	−1.46403	−	1.69015i	−0.189006	−	0.218197i
$61$	0.249178	−	0.181038i	0.0319040	−	0.0231796i	−0.571719	−	0.820450i	$-0.693723\pi$
$61$	0.249178	−	0.181038i	0.0319040	−	0.0231796i	0.603623	+	0.797270i	$0.293723\pi$
$62$	2.86886	+	2.08435i	0.364345	+	0.264712i
$63$	1.86886	+	1.35780i	0.235454	+	0.171067i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	7.21486	+	8.32917i	0.894893	+	1.03311i
$66$	2.77305	+	2.01474i	0.341339	+	0.247997i
$67$	−1.42642	−	4.39008i	−0.174265	−	0.536333i	0.825334	−	0.564645i	$-0.190987\pi$
$67$	−1.42642	−	4.39008i	−0.174265	−	0.536333i	−0.999599	+	0.0283116i	$0.990987\pi$
$68$	−7.66578			−0.929612
$69$	1.38197	+	4.25325i	0.166369	+	0.512032i
$70$	−4.75830	+	2.00995i	−0.568725	+	0.240234i
$71$	0.117646	−	0.362077i	0.0139620	−	0.0429706i	−0.943833	−	0.330423i	$-0.892808\pi$
$71$	0.117646	−	0.362077i	0.0139620	−	0.0429706i	0.957795	+	0.287453i	$0.0928085\pi$
$72$	−0.309017	+	0.951057i	−0.0364180	+	0.112083i
$73$	0.0608552	−	0.0442139i	0.00712256	−	0.00517484i	−0.584218	−	0.811597i	$-0.698599\pi$
$73$	0.0608552	−	0.0442139i	0.00712256	−	0.00517484i	0.591341	+	0.806422i	$0.298599\pi$
$74$	−3.95758			−0.460059
$75$	3.48587	−	3.58451i	0.402514	−	0.413903i
$76$	3.23607			0.371202
$77$	6.40584	−	4.65411i	0.730013	−	0.530386i
$78$	1.52286	−	4.68687i	0.172430	−	0.530684i
$79$	4.72296	−	14.5358i	0.531374	−	1.63540i	−0.219981	−	0.975504i	$-0.570600\pi$
$79$	4.72296	−	14.5358i	0.531374	−	1.63540i	0.751355	−	0.659898i	$-0.229400\pi$
$80$	−1.46403	−	1.69015i	−0.163684	−	0.188964i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	0.164135			0.0181257
$83$	0.403806	+	1.24279i	0.0443235	+	0.136414i	0.970769	−	0.240014i	$-0.0771522\pi$
$83$	0.403806	+	1.24279i	0.0443235	+	0.136414i	−0.926446	+	0.376428i	$0.877152\pi$
$84$	1.86886	+	1.35780i	0.203909	+	0.148148i
$85$	−1.46403	−	17.0786i	−0.158797	−	1.85243i
$86$	5.42971	−	3.94492i	0.585501	−	0.425391i
$87$	5.58371	+	4.05680i	0.598637	+	0.434935i
$88$	2.77305	+	2.01474i	0.295608	+	0.214772i
$89$	−3.58371	+	2.60372i	−0.379873	+	0.275994i	−0.761293	−	0.648408i	$-0.775435\pi$
$89$	−3.58371	+	2.60372i	−0.379873	+	0.275994i	0.381420	+	0.924402i	$0.375435\pi$
$90$	−2.17787	−	0.506822i	−0.229568	−	0.0534238i
$91$	−9.20985	−	6.69135i	−0.965454	−	0.701444i
$92$	1.38197	+	4.25325i	0.144080	+	0.443432i
$93$	3.54610			0.367714
$94$	−1.92807	−	5.93398i	−0.198865	−	0.612043i
$95$	0.618034	+	7.20963i	0.0634089	+	0.739692i
$96$	−0.309017	+	0.951057i	−0.0315389	+	0.0970668i
$97$	−5.31876	+	16.3695i	−0.540039	+	1.66207i	0.192464	+	0.981304i	$0.438352\pi$
$97$	−5.31876	+	16.3695i	−0.540039	+	1.66207i	−0.732503	+	0.680764i	$0.761648\pi$
$98$	−1.34600	+	0.977926i	−0.135966	+	0.0987854i
$99$	3.42768			0.344495
$100$	3.48587	−	3.58451i	0.348587	−	0.358451i
$101$	5.70946			0.568112			0.284056	−	0.958808i	$-0.408320\pi$
$101$	5.70946			0.568112			0.284056	+	0.958808i	$0.408320\pi$
$102$	−6.20175	+	4.50583i	−0.614064	+	0.446144i
$103$	5.36013	−	16.4968i	0.528149	−	1.62548i	−0.229855	−	0.973225i	$-0.573825\pi$
$103$	5.36013	−	16.4968i	0.528149	−	1.62548i	0.758004	−	0.652250i	$-0.226175\pi$
$104$	1.52286	−	4.68687i	0.149328	−	0.459585i
$105$	−2.66813	+	4.42294i	−0.260382	+	0.431634i
$106$	−3.69971	−	11.3865i	−0.359348	−	1.10596i
$107$	−1.57154			−0.151927			−0.0759635	−	0.997111i	$-0.524203\pi$
$107$	−1.57154			−0.151927			−0.0759635	+	0.997111i	$0.524203\pi$
$108$	0.309017	+	0.951057i	0.0297352	+	0.0915155i
$109$	10.3447	+	7.51584i	0.990840	+	0.719887i	0.960105	−	0.279641i	$-0.0902153\pi$
$109$	10.3447	+	7.51584i	0.990840	+	0.719887i	0.0307348	+	0.999528i	$0.490215\pi$
$110$	−3.95903	+	6.56285i	−0.377478	+	0.625743i
$111$	−3.20175	+	2.32620i	−0.303896	+	0.220794i
$112$	1.86886	+	1.35780i	0.176590	+	0.128300i
$113$	−4.08536	−	2.96818i	−0.384318	−	0.279223i	0.378805	−	0.925476i	$-0.376335\pi$
$113$	−4.08536	−	2.96818i	−0.384318	−	0.279223i	−0.763123	+	0.646253i	$0.776335\pi$
$114$	2.61803	−	1.90211i	0.245201	−	0.178149i
$115$	−9.21188	+	3.89118i	−0.859012	+	0.362854i
$116$	5.58371	+	4.05680i	0.518435	+	0.376665i
$117$	−1.52286	−	4.68687i	−0.140788	−	0.433301i
$118$	−10.6637			−0.981677
$119$	5.47214	+	16.8415i	0.501630	+	1.54386i
$120$	−2.17787	−	0.506822i	−0.198812	−	0.0462663i
$121$	0.231449	−	0.712325i	0.0210408	−	0.0647569i
$122$	0.0951775	−	0.292926i	0.00861697	−	0.0265203i
$123$	0.132788	−	0.0964762i	0.0119731	−	0.00869896i
$124$	3.54610			0.318449
$125$	8.65165	+	7.08159i	0.773827	+	0.633397i
$126$	2.31003			0.205794
$127$	−4.51076	+	3.27726i	−0.400265	+	0.290810i	−0.769649	−	0.638467i	$-0.779569\pi$
$127$	−4.51076	+	3.27726i	−0.400265	+	0.290810i	0.369384	+	0.929277i	$0.379569\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	2.07397	−	6.38301i	0.182602	−	0.561993i
$130$	10.7327	+	2.49765i	0.941320	+	0.219059i
$131$	1.89856	+	5.84316i	0.165878	+	0.510520i	0.999100	−	0.0424190i	$-0.0135064\pi$
$131$	1.89856	+	5.84316i	0.165878	+	0.510520i	−0.833222	+	0.552939i	$0.813506\pi$
$132$	3.42768			0.298341
$133$	−2.31003	−	7.10955i	−0.200305	−	0.616476i
$134$	−3.73442	−	2.71322i	−0.322605	−	0.234386i
$135$	−2.05984	+	0.870094i	−0.177283	+	0.0748857i
$136$	−6.20175	+	4.50583i	−0.531795	+	0.386372i
$137$	−4.10657	−	2.98360i	−0.350848	−	0.254906i	0.398377	−	0.917222i	$-0.369574\pi$
$137$	−4.10657	−	2.98360i	−0.350848	−	0.254906i	−0.749225	+	0.662316i	$0.769574\pi$
$138$	3.61803	+	2.62866i	0.307988	+	0.223766i
$139$	−4.80636	+	3.49202i	−0.407670	+	0.296189i	−0.772658	−	0.634823i	$-0.781073\pi$
$139$	−4.80636	+	3.49202i	−0.407670	+	0.296189i	0.364988	+	0.931012i	$0.381073\pi$
$140$	−2.66813	+	4.42294i	−0.225498	+	0.373806i
$141$	−5.04775	−	3.66740i	−0.425097	−	0.308851i
$142$	−0.117646	−	0.362077i	−0.00987262	−	0.0303848i
$143$	−16.8918			−1.41257
$144$	0.309017	+	0.951057i	0.0257514	+	0.0792547i
$145$	−7.97175	+	13.2147i	−0.662018	+	1.09742i
$146$	0.0232446	−	0.0715396i	0.00192374	−	0.00592066i
$147$	−0.514126	+	1.58232i	−0.0424044	+	0.130507i
$148$	−3.20175	+	2.32620i	−0.263182	+	0.191213i
$149$	9.88361			0.809697			0.404848	−	0.914384i	$-0.367324\pi$
$149$	9.88361			0.809697			0.404848	+	0.914384i	$0.367324\pi$
$150$	0.713211	−	4.94887i	0.0582335	−	0.404074i
$151$	−2.63424			−0.214371			−0.107186	−	0.994239i	$-0.534184\pi$
$151$	−2.63424			−0.214371			−0.107186	+	0.994239i	$0.534184\pi$
$152$	2.61803	−	1.90211i	0.212351	−	0.154282i
$153$	−2.36886	+	7.29059i	−0.191511	+	0.589409i
$154$	2.44681	−	7.53051i	0.197170	−	0.606826i
$155$	0.677245	+	7.90035i	0.0543976	+	0.634571i
$156$	−1.52286	−	4.68687i	−0.121926	−	0.375250i
$157$	−3.71822			−0.296746			−0.148373	−	0.988931i	$-0.547404\pi$
$157$	−3.71822			−0.296746			−0.148373	+	0.988931i	$0.547404\pi$
$158$	−4.72296	−	14.5358i	−0.375738	−	1.15640i
$159$	−9.68598	−	7.03727i	−0.768148	−	0.558092i
$160$	−2.17787	−	0.506822i	−0.172176	−	0.0400678i
$161$	8.35778	−	6.07228i	0.658685	−	0.478563i
$162$	0.809017	+	0.587785i	0.0635624	+	0.0461808i
$163$	11.3262	+	8.22899i	0.887139	+	0.644545i	0.935131	−	0.354303i	$-0.115282\pi$
$163$	11.3262	+	8.22899i	0.887139	+	0.644545i	−0.0479912	+	0.998848i	$0.515282\pi$
$164$	0.132788	−	0.0964762i	0.0103690	−	0.00753352i
$165$	0.654628	+	7.63652i	0.0509628	+	0.594502i
$166$	1.05718	+	0.768085i	0.0820530	+	0.0596150i
$167$	7.66452	+	23.5890i	0.593099	+	1.82537i	0.563972	+	0.825794i	$0.309273\pi$
$167$	7.66452	+	23.5890i	0.593099	+	1.82537i	0.0291269	+	0.999576i	$0.490727\pi$
$168$	2.31003			0.178223
$169$	3.48752	+	10.7335i	0.268271	+	0.825652i
$170$	−11.2230	−	12.9563i	−0.860762	−	0.993704i
$171$	1.00000	−	3.07768i	0.0764719	−	0.235356i
$172$	2.07397	−	6.38301i	0.158138	−	0.486700i
$173$	−17.2347	+	12.5218i	−1.31033	+	0.952012i	−0.310334	+	0.950628i	$0.600441\pi$
$173$	−17.2347	+	12.5218i	−1.31033	+	0.952012i	−0.999999	+	0.00138481i	$0.999559\pi$
$174$	6.90185			0.523228
$175$	−10.3634	−	5.09961i	−0.783400	−	0.385494i
$176$	3.42768			0.258371
$177$	−8.62715	+	6.26799i	−0.648456	+	0.471131i
$178$	−1.36886	+	4.21291i	−0.102600	+	0.315771i
$179$	2.94991	−	9.07888i	0.220486	−	0.678587i	−0.778232	−	0.627977i	$-0.783883\pi$
$179$	2.94991	−	9.07888i	0.220486	−	0.678587i	0.998718	−	0.0506106i	$-0.0161167\pi$
$180$	−2.05984	+	0.870094i	−0.153531	+	0.0648530i
$181$	−0.222958	−	0.686194i	−0.0165723	−	0.0510044i	0.942428	−	0.334408i	$-0.108536\pi$
$181$	−0.222958	−	0.686194i	−0.0165723	−	0.0510044i	−0.959001	+	0.283404i	$0.908536\pi$
$182$	−11.3840			−0.843838
$183$	−0.0951775	−	0.292926i	−0.00703572	−	0.0216537i
$184$	3.61803	+	2.62866i	0.266725	+	0.193787i
$185$	−5.79402	−	6.68889i	−0.425985	−	0.491777i
$186$	2.86886	−	2.08435i	0.210355	−	0.152832i
$187$	21.2576	+	15.4445i	1.55451	+	1.12942i
$188$	−5.04775	−	3.66740i	−0.368145	−	0.267473i
$189$	1.86886	−	1.35780i	0.135939	−	0.0987657i
$190$	4.73771	+	5.46944i	0.343710	+	0.396795i
$191$	1.00000	+	0.726543i	0.0723575	+	0.0525708i	0.623376	−	0.781922i	$-0.285761\pi$
$191$	1.00000	+	0.726543i	0.0723575	+	0.0525708i	−0.551018	+	0.834493i	$0.685761\pi$
$192$	0.309017	+	0.951057i	0.0223014	+	0.0686366i
$193$	−26.9529			−1.94011			−0.970055	−	0.242884i	$-0.921907\pi$
$193$	−26.9529			−1.94011			−0.970055	+	0.242884i	$0.921907\pi$
$194$	5.31876	+	16.3695i	0.381865	+	1.17526i
$195$	10.1510	−	4.28788i	0.726930	−	0.307061i
$196$	−0.514126	+	1.58232i	−0.0367233	+	0.113023i
$197$	7.85473	−	24.1744i	0.559626	−	1.72235i	−0.123775	−	0.992310i	$-0.539500\pi$
$197$	7.85473	−	24.1744i	0.559626	−	1.72235i	0.683402	−	0.730043i	$-0.260500\pi$
$198$	2.77305	−	2.01474i	0.197072	−	0.143181i
$199$	21.7585			1.54242			0.771208	−	0.636583i	$-0.219653\pi$
$199$	21.7585			1.54242			0.771208	+	0.636583i	$0.219653\pi$
$200$	0.713211	−	4.94887i	0.0504317	−	0.349938i
$201$	−4.61600			−0.325588
$202$	4.61905	−	3.35594i	0.324995	−	0.236123i
$203$	4.92681	−	15.1632i	0.345794	−	1.06425i
$204$	−2.36886	+	7.29059i	−0.165853	+	0.510443i
$205$	0.240299	+	0.277413i	0.0167832	+	0.0193754i
$206$	−5.36013	−	16.4968i	−0.373458	−	1.14938i
$207$	4.47214			0.310835
$208$	−1.52286	−	4.68687i	−0.105591	−	0.324976i
$209$	−8.97378	−	6.51983i	−0.620729	−	0.450986i
$210$	0.441177	+	5.14652i	0.0304441	+	0.355143i
$211$	17.9476	−	13.0397i	1.23556	−	0.897688i	0.238267	−	0.971200i	$-0.423421\pi$
$211$	17.9476	−	13.0397i	1.23556	−	0.897688i	0.997294	+	0.0735122i	$0.0234208\pi$
$212$	−9.68598	−	7.03727i	−0.665236	−	0.483322i
$213$	−0.308001	−	0.223776i	−0.0211039	−	0.0153329i
$214$	−1.27141	+	0.923731i	−0.0869116	+	0.0631449i
$215$	14.6168	+	3.40153i	0.996856	+	0.231983i
$216$	0.809017	+	0.587785i	0.0550466	+	0.0399937i
$217$	−2.53135	−	7.79069i	−0.171839	−	0.528866i
$218$	12.7867			0.866026
$219$	−0.0232446	−	0.0715396i	−0.00157073	−	0.00483420i
$220$	0.654628	+	7.63652i	0.0441350	+	0.514854i
$221$	11.6739	−	35.9285i	0.785270	−	2.41681i
$222$	−1.22296	+	3.76388i	−0.0820796	+	0.252615i
$223$	−6.39108	+	4.64339i	−0.427979	+	0.310945i	−0.780840	−	0.624731i	$-0.785209\pi$
$223$	−6.39108	+	4.64339i	−0.427979	+	0.310945i	0.352861	+	0.935676i	$0.385209\pi$
$224$	2.31003			0.154346
$225$	−2.33187	−	4.42294i	−0.155458	−	0.294862i
$226$	−5.04978			−0.335906
$227$	2.15502	−	1.56571i	0.143033	−	0.103920i	−0.513967	−	0.857810i	$-0.671825\pi$
$227$	2.15502	−	1.56571i	0.143033	−	0.103920i	0.657001	+	0.753890i	$0.271825\pi$
$228$	1.00000	−	3.07768i	0.0662266	−	0.203825i
$229$	−2.90685	+	8.94638i	−0.192090	+	0.591193i	0.807908	+	0.589309i	$0.200600\pi$
$229$	−2.90685	+	8.94638i	−0.192090	+	0.591193i	−0.999998	+	0.00188454i	$0.999400\pi$
$230$	−5.16539	+	8.56264i	−0.340596	+	0.564603i
$231$	−2.44681	−	7.53051i	−0.160988	−	0.495472i
$232$	6.90185			0.453128
$233$	4.56935	+	14.0630i	0.299348	+	0.921298i	0.981726	+	0.190299i	$0.0609456\pi$
$233$	4.56935	+	14.0630i	0.299348	+	0.921298i	−0.682378	+	0.730999i	$0.739054\pi$
$234$	−3.98689	−	2.89665i	−0.260631	−	0.189360i
$235$	7.20656	−	11.9463i	0.470104	−	0.779289i
$236$	−8.62715	+	6.26799i	−0.561580	+	0.408012i
$237$	−12.3649	−	8.98360i	−0.803184	−	0.583548i
$238$	14.3262	+	10.4086i	0.928632	+	0.674691i
$239$	10.2098	−	7.41789i	0.660420	−	0.479823i	−0.206385	−	0.978471i	$-0.566170\pi$
$239$	10.2098	−	7.41789i	0.660420	−	0.479823i	0.866805	+	0.498648i	$0.166170\pi$
$240$	−2.05984	+	0.870094i	−0.132962	+	0.0561643i
$241$	13.9247	+	10.1169i	0.896969	+	0.651686i	0.937686	−	0.347485i	$-0.112964\pi$
$241$	13.9247	+	10.1169i	0.896969	+	0.651686i	−0.0407167	+	0.999171i	$0.512964\pi$
$242$	−0.231449	−	0.712325i	−0.0148781	−	0.0457900i
$243$	1.00000			0.0641500
$244$	−0.0951775	−	0.292926i	−0.00609312	−	0.0187527i
$245$	−3.62343	−	0.843224i	−0.231492	−	0.0538716i
$246$	0.0507205	−	0.156102i	0.00323382	−	0.00995268i
$247$	−4.92807	+	15.1670i	−0.313565	+	0.965055i
$248$	2.86886	−	2.08435i	0.182173	−	0.132356i
$249$	1.30674			0.0828116
$250$	11.1618	+	0.643811i	0.705933	+	0.0407182i
$251$	−18.1097			−1.14307			−0.571536	−	0.820577i	$-0.693652\pi$
$251$	−18.1097			−1.14307			−0.571536	+	0.820577i	$0.693652\pi$
$252$	1.86886	−	1.35780i	0.117727	−	0.0855336i
$253$	4.73694	−	14.5788i	0.297809	−	0.916561i
$254$	−1.72296	+	5.30272i	−0.108108	+	0.332722i
$255$	−16.6951	−	3.88519i	−1.04549	−	0.243300i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−1.07193			−0.0668653			−0.0334327	−	0.999441i	$-0.510644\pi$
$257$	−1.07193			−0.0668653			−0.0334327	+	0.999441i	$0.510644\pi$
$258$	−2.07397	−	6.38301i	−0.129119	−	0.397389i
$259$	7.39614	+	5.37361i	0.459574	+	0.333900i
$260$	10.1510	−	4.28788i	0.629540	−	0.265923i
$261$	5.58371	−	4.05680i	0.345623	−	0.251110i
$262$	4.97049	+	3.61127i	0.307078	+	0.223105i
$263$	19.8756	+	14.4405i	1.22558	+	0.890439i	0.996551	−	0.0829801i	$-0.0264438\pi$
$263$	19.8756	+	14.4405i	1.22558	+	0.890439i	0.229032	+	0.973419i	$0.426444\pi$
$264$	2.77305	−	2.01474i	0.170669	−	0.123999i
$265$	13.8285	−	22.9234i	0.849476	−	1.40817i
$266$	−6.04775	−	4.39394i	−0.370811	−	0.269410i
$267$	1.36886	+	4.21291i	0.0837726	+	0.257826i
$268$	−4.61600			−0.281967
$269$	−6.23670	−	19.1946i	−0.380258	−	1.17031i	−0.939862	−	0.341554i	$-0.889047\pi$
$269$	−6.23670	−	19.1946i	−0.380258	−	1.17031i	0.559604	−	0.828760i	$-0.310953\pi$
$270$	−1.15502	+	1.91466i	−0.0702921	+	0.116523i
$271$	−1.55174	+	4.77575i	−0.0942613	+	0.290106i	−0.987060	−	0.160349i	$-0.948738\pi$
$271$	−1.55174	+	4.77575i	−0.0942613	+	0.290106i	0.892799	+	0.450455i	$0.148738\pi$
$272$	−2.36886	+	7.29059i	−0.143633	+	0.442057i
$273$	−9.20985	+	6.69135i	−0.557405	+	0.404979i
$274$	−5.07600			−0.306652
$275$	−16.8883	+	2.91689i	−1.01841	+	0.175895i
$276$	4.47214			0.269191
$277$	7.50975	−	5.45615i	0.451217	−	0.327828i	−0.338859	−	0.940837i	$-0.610041\pi$
$277$	7.50975	−	5.45615i	0.451217	−	0.327828i	0.790076	+	0.613009i	$0.210041\pi$
$278$	−1.83586	+	5.65021i	−0.110108	+	0.338877i
$279$	1.09581	−	3.37254i	0.0656042	−	0.201909i
$280$	0.441177	+	5.14652i	0.0263654	+	0.307563i
$281$	8.45092	+	26.0093i	0.504140	+	1.55158i	0.802212	+	0.597039i	$0.203656\pi$
$281$	8.45092	+	26.0093i	0.504140	+	1.55158i	−0.298072	+	0.954543i	$0.596344\pi$
$282$	−6.23936			−0.371548
$283$	4.33829	+	13.3519i	0.257884	+	0.793686i	0.993248	+	0.116013i	$0.0370115\pi$
$283$	4.33829	+	13.3519i	0.257884	+	0.793686i	−0.735363	+	0.677673i	$0.762988\pi$
$284$	−0.308001	−	0.223776i	−0.0182765	−	0.0132786i
$285$	7.04775	+	1.64011i	0.417472	+	0.0971518i
$286$	−13.6658	+	9.92877i	−0.808074	+	0.587100i
$287$	−0.306745	−	0.222863i	−0.0181066	−	0.0131552i
$288$	0.809017	+	0.587785i	0.0476718	+	0.0346356i
$289$	−33.7879	+	24.5484i	−1.98752	+	1.44402i
$290$	1.31814	+	15.3766i	0.0774036	+	0.902945i
$291$	13.9247	+	10.1169i	0.816281	+	0.593063i
$292$	−0.0232446	−	0.0715396i	−0.00136029	−	0.00418654i
$293$	−1.70695			−0.0997210			−0.0498605	−	0.998756i	$-0.515878\pi$
$293$	−1.70695			−0.0997210			−0.0498605	+	0.998756i	$0.515878\pi$
$294$	0.514126	+	1.58232i	0.0299844	+	0.0922826i
$295$	−15.6121	−	18.0233i	−0.908971	−	1.04936i
$296$	−1.22296	+	3.76388i	−0.0710830	+	0.218771i
$297$	1.05921	−	3.25992i	0.0614617	−	0.189160i
$298$	7.99601	−	5.80944i	0.463196	−	0.336532i
$299$	−22.0390			−1.27455
$300$	−2.33187	−	4.42294i	−0.134631	−	0.255358i
$301$	−15.5038			−0.893622
$302$	−2.13114	+	1.54837i	−0.122634	+	0.0890985i
$303$	1.76432	−	5.43002i	0.101358	−	0.311946i
$304$	1.00000	−	3.07768i	0.0573539	−	0.176517i
$305$	0.634432	−	0.267990i	0.0363275	−	0.0153450i
$306$	2.36886	+	7.29059i	0.135418	+	0.416775i
$307$	−17.5669			−1.00259			−0.501297	−	0.865276i	$-0.667143\pi$
$307$	−17.5669			−1.00259			−0.501297	+	0.865276i	$0.667143\pi$
$308$	−2.44681	−	7.53051i	−0.139420	−	0.429091i
$309$	−14.0330	−	10.1956i	−0.798309	−	0.580005i
$310$	5.19161	+	5.99344i	0.294864	+	0.340405i
$311$	−6.78546	+	4.92992i	−0.384768	+	0.279550i	−0.763308	−	0.646035i	$-0.776426\pi$
$311$	−6.78546	+	4.92992i	−0.384768	+	0.279550i	0.378540	+	0.925585i	$0.376426\pi$
$312$	−3.98689	−	2.89665i	−0.225713	−	0.163990i
$313$	−20.3407	−	14.7784i	−1.14972	−	0.835323i	−0.161279	−	0.986909i	$-0.551562\pi$
$313$	−20.3407	−	14.7784i	−1.14972	−	0.835323i	−0.988444	+	0.151586i	$0.951562\pi$
$314$	−3.00810	+	2.18551i	−0.169757	+	0.123336i
$315$	3.38197	+	3.90430i	0.190552	+	0.219982i
$316$	−12.3649	−	8.98360i	−0.695578	−	0.505367i
$317$	1.83857	+	5.65854i	0.103264	+	0.317815i	0.989319	−	0.145765i	$-0.0465644\pi$
$317$	1.83857	+	5.65854i	0.103264	+	0.317815i	−0.886055	+	0.463581i	$0.846564\pi$
$318$	−11.9725			−0.671386
$319$	−7.31051	−	22.4994i	−0.409310	−	1.25973i
$320$	−2.05984	+	0.870094i	−0.115149	+	0.0486397i
$321$	−0.485634	+	1.49463i	−0.0271054	+	0.0834220i
$322$	3.19239	−	9.82516i	0.177905	−	0.547535i
$323$	20.0693	−	14.5812i	1.11668	−	0.811318i
$324$	1.00000			0.0555556
$325$	11.4916	+	21.7965i	0.637441	+	1.20905i
$326$	14.0000			0.775388
$327$	10.3447	−	7.51584i	0.572061	−	0.415627i
$328$	0.0507205	−	0.156102i	0.00280057	−	0.00861928i
$329$	−4.45390	+	13.7077i	−0.245551	+	0.755729i
$330$	5.01824	+	5.79329i	0.276245	+	0.318910i
$331$	7.47339	+	23.0007i	0.410775	+	1.26423i	0.915976	+	0.401233i	$0.131418\pi$
$331$	7.47339	+	23.0007i	0.410775	+	1.26423i	−0.505201	+	0.863002i	$0.668582\pi$
$332$	1.30674			0.0717169
$333$	1.22296	+	3.76388i	0.0670177	+	0.206259i
$334$	20.0660	+	14.5788i	1.09796	+	0.797716i
$335$	−0.881578	−	10.2840i	−0.0481657	−	0.561874i
$336$	1.86886	−	1.35780i	0.101954	−	0.0740742i
$337$	9.18218	+	6.67124i	0.500185	+	0.363406i	0.809088	−	0.587688i	$-0.199962\pi$
$337$	9.18218	+	6.67124i	0.500185	+	0.363406i	−0.308903	+	0.951094i	$0.599962\pi$
$338$	9.13044	+	6.63365i	0.496631	+	0.360823i
$339$	−4.08536	+	2.96818i	−0.221886	+	0.161210i
$340$	−16.6951	−	3.88519i	−0.905419	−	0.210704i
$341$	−9.83352	−	7.14447i	−0.532515	−	0.386895i
$342$	−1.00000	−	3.07768i	−0.0540738	−	0.166422i
$343$	20.0135			1.08063
$344$	−2.07397	−	6.38301i	−0.111821	−	0.344149i
$345$	0.854102	+	9.96346i	0.0459833	+	0.536415i
$346$	−6.58308	+	20.2606i	−0.353909	+	1.08922i
$347$	−3.56086	+	10.9592i	−0.191157	+	0.588320i	0.808843	+	0.588024i	$0.200094\pi$
$347$	−3.56086	+	10.9592i	−0.191157	+	0.588320i	−1.00000		0.000295559i	$0.999906\pi$
$348$	5.58371	−	4.05680i	0.299318	−	0.217468i
$349$	−1.81216			−0.0970025			−0.0485013	−	0.998823i	$-0.515444\pi$
$349$	−1.81216			−0.0970025			−0.0485013	+	0.998823i	$0.515444\pi$
$350$	−11.3817	+	1.96579i	−0.608375	+	0.105076i
$351$	−4.92807			−0.263041
$352$	2.77305	−	2.01474i	0.147804	−	0.107386i
$353$	−0.939338	+	2.89099i	−0.0499959	+	0.153872i	−0.972938	−	0.231068i	$-0.925778\pi$
$353$	−0.939338	+	2.89099i	−0.0499959	+	0.153872i	0.922942	+	0.384940i	$0.125778\pi$
$354$	−3.29528	+	10.1418i	−0.175142	+	0.539032i
$355$	0.439726	−	0.728932i	0.0233383	−	0.0386877i
$356$	1.36886	+	4.21291i	0.0725492	+	0.223284i
$357$	17.7082			0.937218
$358$	−2.94991	−	9.07888i	−0.155907	−	0.479834i
$359$	−4.93136	−	3.58284i	−0.260267	−	0.189095i	0.449998	−	0.893030i	$-0.351425\pi$
$359$	−4.93136	−	3.58284i	−0.260267	−	0.189095i	−0.710265	+	0.703935i	$0.751425\pi$
$360$	−1.15502	+	1.91466i	−0.0608747	+	0.100912i
$361$	6.89919	−	5.01255i	0.363115	−	0.263819i
$362$	−0.583712	−	0.424091i	−0.0306792	−	0.0222897i
$363$	−0.605940	−	0.440241i	−0.0318036	−	0.0231067i
$364$	−9.20985	+	6.69135i	−0.482727	+	0.350722i
$365$	0.154943	−	0.0654495i	0.00811011	−	0.00342578i
$366$	−0.249178	−	0.181038i	−0.0130247	−	0.00946303i
$367$	−8.14152	−	25.0570i	−0.424984	−	1.30797i	−0.903010	−	0.429620i	$-0.858648\pi$
$367$	−8.14152	−	25.0570i	−0.424984	−	1.30797i	0.478026	−	0.878346i	$-0.341352\pi$
$368$	4.47214			0.233126
$369$	−0.0507205	−	0.156102i	−0.00264041	−	0.00812633i
$370$	−8.61910	−	2.00579i	−0.448085	−	0.104276i
$371$	−8.54646	+	26.3033i	−0.443710	+	1.36560i
$372$	1.09581	−	3.37254i	0.0568149	−	0.174858i
$373$	−11.4742	+	8.33647i	−0.594110	+	0.431646i	−0.843783	−	0.536684i	$-0.819677\pi$
$373$	−11.4742	+	8.33647i	−0.594110	+	0.431646i	0.249673	+	0.968330i	$0.419677\pi$
$374$	26.2758			1.35869
$375$	9.40850	−	6.03988i	0.485853	−	0.311898i
$376$	−6.23936			−0.321770
$377$	−27.5169	+	19.9922i	−1.41719	+	1.02965i
$378$	0.713839	−	2.19697i	0.0367159	−	0.113000i
$379$	9.82663	−	30.2432i	0.504760	−	1.55349i	−0.296414	−	0.955060i	$-0.595791\pi$
$379$	9.82663	−	30.2432i	0.504760	−	1.55349i	0.801174	−	0.598432i	$-0.204209\pi$
$380$	7.04775	+	1.64011i	0.361542	+	0.0841360i
$381$	1.72296	+	5.30272i	0.0882698	+	0.271667i
$382$	1.23607			0.0632427
$383$	7.16336	+	22.0466i	0.366031	+	1.12653i	0.949333	+	0.314271i	$0.101760\pi$
$383$	7.16336	+	22.0466i	0.366031	+	1.12653i	−0.583303	+	0.812255i	$0.698240\pi$
$384$	0.809017	+	0.587785i	0.0412850	+	0.0299953i
$385$	16.3099	−	6.88945i	0.831230	−	0.351119i
$386$	−21.8053	+	15.8425i	−1.10986	+	0.806362i
$387$	−5.42971	−	3.94492i	−0.276008	−	0.200531i
$388$	13.9247	+	10.1169i	0.706920	+	0.513607i
$389$	10.3323	−	7.50683i	0.523866	−	0.380611i	−0.294192	−	0.955746i	$-0.595051\pi$
$389$	10.3323	−	7.50683i	0.523866	−	0.380611i	0.818058	+	0.575135i	$0.195051\pi$
$390$	5.69200	−	9.43559i	0.288226	−	0.477790i
$391$	27.7350	+	20.1507i	1.40262	+	1.01906i
$392$	0.514126	+	1.58232i	0.0259673	+	0.0799191i
$393$	6.14387			0.309917
$394$	−7.85473	−	24.1744i	−0.395716	−	1.21789i
$395$	17.6531	−	29.2634i	0.888222	−	1.47240i
$396$	1.05921	−	3.25992i	0.0532274	−	0.163817i
$397$	5.21110	−	16.0381i	0.261538	−	0.804931i	−0.730933	−	0.682449i	$-0.760915\pi$
$397$	5.21110	−	16.0381i	0.261538	−	0.804931i	0.992471	−	0.122481i	$-0.0390852\pi$
$398$	17.6030	−	12.7893i	0.882357	−	0.641070i
$399$	−7.47542			−0.374239
$400$	−2.33187	−	4.42294i	−0.116594	−	0.221147i
$401$	2.02027			0.100887			0.0504437	−	0.998727i	$-0.483936\pi$
$401$	2.02027			0.100887			0.0504437	+	0.998727i	$0.483936\pi$
$402$	−3.73442	+	2.71322i	−0.186256	+	0.135323i
$403$	−5.40020	+	16.6201i	−0.269003	+	0.827907i
$404$	1.76432	−	5.43002i	0.0877782	−	0.270154i
$405$	0.190983	+	2.22790i	0.00949002	+	0.110705i
$406$	−4.92681	−	15.1632i	−0.244514	−	0.752535i
$407$	13.5653			0.672407
$408$	2.36886	+	7.29059i	0.117276	+	0.360938i
$409$	−3.07827	−	2.23649i	−0.152211	−	0.110587i	0.509073	−	0.860723i	$-0.329988\pi$
$409$	−3.07827	−	2.23649i	−0.152211	−	0.110587i	−0.661284	+	0.750136i	$0.729988\pi$
$410$	0.357465	+	0.0831873i	0.0176540	+	0.00410833i
$411$	−4.10657	+	2.98360i	−0.202562	+	0.147170i
$412$	−14.0330	−	10.1956i	−0.691356	−	0.502299i
$413$	19.9290	+	14.4793i	0.980642	+	0.712478i
$414$	3.61803	−	2.62866i	0.177817	−	0.129191i
$415$	0.249566	+	2.91129i	0.0122507	+	0.142910i
$416$	−3.98689	−	2.89665i	−0.195473	−	0.142020i
$417$	1.83586	+	5.65021i	0.0899027	+	0.276692i
$418$	−11.0922			−0.542537
$419$	−2.33265	−	7.17916i	−0.113957	−	0.350725i	0.877771	−	0.479081i	$-0.159030\pi$
$419$	−2.33265	−	7.17916i	−0.113957	−	0.350725i	−0.991728	+	0.128356i	$0.959030\pi$
$420$	3.38197	+	3.90430i	0.165023	+	0.190510i
$421$	4.73955	−	14.5868i	0.230992	−	0.710919i	−0.766636	−	0.642082i	$-0.778071\pi$
$421$	4.73955	−	14.5868i	0.230992	−	0.710919i	0.997628	−	0.0688374i	$-0.0219290\pi$
$422$	6.85536	−	21.0986i	0.333714	−	1.02706i
$423$	−5.04775	+	3.66740i	−0.245430	+	0.178315i
$424$	−11.9725			−0.581437
$425$	5.46732	−	37.9370i	0.265204	−	1.84021i
$426$	−0.380710			−0.0184455
$427$	−0.575609	+	0.418205i	−0.0278557	+	0.0202383i
$428$	−0.485634	+	1.49463i	−0.0234740	+	0.0722456i
$429$	−5.21986	+	16.0651i	−0.252017	+	0.775630i
$430$	13.8246	−	5.83963i	0.666681	−	0.281612i
$431$	2.89981	+	8.92471i	0.139679	+	0.429888i	0.996288	−	0.0860773i	$-0.0274332\pi$
$431$	2.89981	+	8.92471i	0.139679	+	0.429888i	−0.856609	+	0.515966i	$0.827433\pi$
$432$	1.00000			0.0481125
$433$	−9.34803	−	28.7703i	−0.449238	−	1.38261i	−0.877769	−	0.479085i	$-0.840969\pi$
$433$	−9.34803	−	28.7703i	−0.449238	−	1.38261i	0.428531	−	0.903527i	$-0.359031\pi$
$434$	−6.62715	−	4.81491i	−0.318114	−	0.231123i
$435$	10.1045	+	11.6652i	0.484475	+	0.559301i
$436$	10.3447	−	7.51584i	0.495420	−	0.359944i
$437$	−11.7082	−	8.50651i	−0.560079	−	0.406921i
$438$	−0.0608552	−	0.0442139i	−0.00290777	−	0.00211262i
$439$	−30.8108	+	22.3853i	−1.47052	+	1.06839i	−0.490055	+	0.871691i	$0.663023\pi$
$439$	−30.8108	+	22.3853i	−1.47052	+	1.06839i	−0.980463	+	0.196703i	$0.936977\pi$
$440$	5.01824	+	5.79329i	0.239235	+	0.276184i
$441$	1.34600	+	0.977926i	0.0640952	+	0.0465679i
$442$	−11.6739	−	35.9285i	−0.555270	−	1.70895i
$443$	−1.53797			−0.0730713			−0.0365356	−	0.999332i	$-0.511632\pi$
$443$	−1.53797			−0.0730713			−0.0365356	+	0.999332i	$0.511632\pi$
$444$	1.22296	+	3.76388i	0.0580390	+	0.178626i
$445$	−9.12449	+	3.85426i	−0.432542	+	0.182710i
$446$	−2.44118	+	7.51317i	−0.115593	+	0.355759i
$447$	3.05420	−	9.39987i	0.144459	−	0.444599i
$448$	1.86886	−	1.35780i	0.0882951	−	0.0641502i
$449$	14.0449			0.662822			0.331411	−	0.943487i	$-0.392475\pi$
$449$	14.0449			0.662822			0.331411	+	0.943487i	$0.392475\pi$
$450$	−4.48626	−	2.20759i	−0.211484	−	0.104067i
$451$	−0.562602			−0.0264919
$452$	−4.08536	+	2.96818i	−0.192159	+	0.139612i
$453$	−0.814025	+	2.50531i	−0.0382462	+	0.117710i
$454$	0.823143	−	2.53337i	0.0386320	−	0.118897i
$455$	−16.6666	−	19.2407i	−0.781340	−	0.902016i
$456$	−1.00000	−	3.07768i	−0.0468293	−	0.144126i
$457$	14.5748			0.681782			0.340891	−	0.940103i	$-0.389271\pi$
$457$	14.5748			0.681782			0.340891	+	0.940103i	$0.389271\pi$
$458$	2.90685	+	8.94638i	0.135828	+	0.418037i
$459$	6.20175	+	4.50583i	0.289473	+	0.210314i
$460$	0.854102	+	9.96346i	0.0398227	+	0.464549i
$461$	−14.6187	+	10.6211i	−0.680862	+	0.494675i	−0.873644	−	0.486566i	$-0.838249\pi$
$461$	−14.6187	+	10.6211i	−0.680862	+	0.494675i	0.192781	+	0.981242i	$0.438249\pi$
$462$	−6.40584	−	4.65411i	−0.298027	−	0.216529i
$463$	−16.6322	−	12.0840i	−0.772964	−	0.561591i	0.129895	−	0.991528i	$-0.458536\pi$
$463$	−16.6322	−	12.0840i	−0.772964	−	0.561591i	−0.902859	+	0.429936i	$0.858536\pi$
$464$	5.58371	−	4.05680i	0.259217	−	0.188332i
$465$	7.72296	+	1.79724i	0.358144	+	0.0833452i
$466$	11.9627	+	8.69141i	0.554161	+	0.402622i
$467$	7.78691	+	23.9656i	0.360335	+	1.10900i	0.952851	+	0.303439i	$0.0981348\pi$
$467$	7.78691	+	23.9656i	0.360335	+	1.10900i	−0.592516	+	0.805559i	$0.701865\pi$
$468$	−4.92807			−0.227800
$469$	3.29508	+	10.1412i	0.152153	+	0.468278i
$470$	−1.19161	−	13.9006i	−0.0549649	−	0.641189i
$471$	−1.14899	+	3.53624i	−0.0529428	+	0.162941i
$472$	−3.29528	+	10.1418i	−0.151678	+	0.466815i
$473$	−18.6113	+	13.5219i	−0.855749	+	0.621738i
$474$	−15.2838			−0.702009
$475$	−2.30800	+	16.0149i	−0.105898	+	0.734813i
$476$	17.7082			0.811654
$477$	−9.68598	+	7.03727i	−0.443490	+	0.322215i
$478$	3.89981	−	12.0024i	0.178373	−	0.548977i
$479$	0.809645	−	2.49183i	0.0369936	−	0.113855i	−0.930854	−	0.365390i	$-0.880936\pi$
$479$	0.809645	−	2.49183i	0.0369936	−	0.113855i	0.967848	+	0.251536i	$0.0809355\pi$
$480$	−1.15502	+	1.91466i	−0.0527191	+	0.0873920i
$481$	−6.02682	−	18.5486i	−0.274799	−	0.845745i
$482$	17.2119			0.783980
$483$	−3.19239	−	9.82516i	−0.145259	−	0.447060i
$484$	−0.605940	−	0.440241i	−0.0275427	−	0.0200110i
$485$	−19.8800	+	32.9550i	−0.902705	+	1.49641i
$486$	0.809017	−	0.587785i	0.0366978	−	0.0266625i
$487$	−20.3452	−	14.7817i	−0.921930	−	0.669821i	0.0220737	−	0.999756i	$-0.492973\pi$
$487$	−20.3452	−	14.7817i	−0.921930	−	0.669821i	−0.944004	+	0.329935i	$0.892973\pi$
$488$	−0.249178	−	0.181038i	−0.0112798	−	0.00819522i
$489$	11.3262	−	8.22899i	0.512190	−	0.372128i
$490$	−3.42705	+	1.44762i	−0.154818	+	0.0653966i
$491$	−25.5824	−	18.5867i	−1.15452	−	0.838805i	−0.165442	−	0.986220i	$-0.552905\pi$
$491$	−25.5824	−	18.5867i	−1.15452	−	0.838805i	−0.989075	+	0.147414i	$0.952905\pi$
$492$	−0.0507205	−	0.156102i	−0.00228666	−	0.00703761i
$493$	52.9080			2.38286
$494$	4.92807	+	15.1670i	0.221724	+	0.682397i
$495$	7.46505	+	1.73722i	0.335529	+	0.0780824i
$496$	1.09581	−	3.37254i	0.0492031	−	0.151432i
$497$	−0.271766	+	0.836409i	−0.0121904	+	0.0375181i
$498$	1.05718	−	0.768085i	0.0473733	−	0.0344187i
$499$	−28.6266			−1.28150			−0.640752	−	0.767748i	$-0.721377\pi$
$499$	−28.6266			−1.28150			−0.640752	+	0.767748i	$0.721377\pi$
$500$	9.40850	−	6.03988i	0.420761	−	0.270112i
$501$	24.8029			1.10811
$502$	−14.6510	+	10.6446i	−0.653907	+	0.475091i
$503$	1.48960	−	4.58451i	0.0664178	−	0.204413i	−0.912340	−	0.409434i	$-0.865726\pi$
$503$	1.48960	−	4.58451i	0.0664178	−	0.204413i	0.978758	+	0.205021i	$0.0657262\pi$
$504$	0.713839	−	2.19697i	0.0317969	−	0.0978609i
$505$	12.4345	+	2.89368i	0.553327	+	0.128767i
$506$	−4.73694	−	14.5788i	−0.210582	−	0.648106i
$507$	11.2858			0.501222
$508$	1.72296	+	5.30272i	0.0764439	+	0.235270i
$509$	10.8604	+	7.89057i	0.481380	+	0.349743i	0.801860	−	0.597512i	$-0.203844\pi$
$509$	10.8604	+	7.89057i	0.481380	+	0.349743i	−0.320479	+	0.947255i	$0.603844\pi$
$510$	−15.7903	+	6.66995i	−0.699205	+	0.295350i
$511$	−0.140578	+	0.102136i	−0.00621878	+	0.00451821i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	−2.61803	−	1.90211i	−0.115589	−	0.0839803i
$514$	−0.867212	+	0.630066i	−0.0382511	+	0.0277910i
$515$	20.0346	−	33.2112i	0.882830	−	1.46346i
$516$	−5.42971	−	3.94492i	−0.239030	−	0.173665i
$517$	6.60880	+	20.3398i	0.290654	+	0.894543i
$518$	9.14213			0.401682
$519$	6.58308	+	20.2606i	0.288965	+	0.889344i
$520$	5.69200	−	9.43559i	0.249611	−	0.413778i
$521$	−1.15710	+	3.56117i	−0.0506933	+	0.156018i	−0.973198	−	0.229967i	$-0.926138\pi$
$521$	−1.15710	+	3.56117i	−0.0506933	+	0.156018i	0.922505	+	0.385985i	$0.126138\pi$
$522$	2.13279	−	6.56405i	0.0933496	−	0.287301i
$523$	10.5938	−	7.69688i	0.463237	−	0.336561i	−0.331563	−	0.943433i	$-0.607576\pi$
$523$	10.5938	−	7.69688i	0.463237	−	0.336561i	0.794800	+	0.606872i	$0.207576\pi$
$524$	6.14387			0.268396
$525$	−8.05248	+	8.28033i	−0.351439	+	0.361383i
$526$	24.5676			1.07120
$527$	21.9920	−	15.9781i	0.957987	−	0.696019i
$528$	1.05921	−	3.25992i	0.0460962	−	0.141870i
$529$	−0.927051	+	2.85317i	−0.0403066	+	0.124051i
$530$	−2.28655	−	26.6736i	−0.0993213	−	1.15863i
$531$	3.29528	+	10.1418i	0.143003	+	0.440118i
$532$	−7.47542			−0.324101
$533$	0.249954	+	0.769280i	0.0108267	+	0.0333212i
$534$	3.58371	+	2.60372i	0.155082	+	0.112674i
$535$	−3.42262	−	0.796494i	−0.147973	−	0.0344354i
$536$	−3.73442	+	2.71322i	−0.161303	+	0.117193i
$537$	−7.72296	−	5.61106i	−0.333270	−	0.242135i
$538$	−16.3279	−	11.8629i	−0.703945	−	0.511446i
$539$	4.61365	−	3.35202i	0.198724	−	0.144382i
$540$	0.190983	+	2.22790i	0.00821860	+	0.0958734i
$541$	−17.0349	−	12.3766i	−0.732390	−	0.532112i	0.157929	−	0.987450i	$-0.449518\pi$
$541$	−17.0349	−	12.3766i	−0.732390	−	0.532112i	−0.890319	+	0.455338i	$0.849518\pi$
$542$	1.55174	+	4.77575i	0.0666528	+	0.205136i
$543$	−0.721507			−0.0309628
$544$	2.36886	+	7.29059i	0.101564	+	0.312581i
$545$	18.7202	+	21.6115i	0.801884	+	0.925733i
$546$	−3.51785	+	10.8268i	−0.150550	+	0.463345i
$547$	−4.24608	+	13.0681i	−0.181549	+	0.558752i	−0.999872	−	0.0160078i	$-0.994904\pi$
$547$	−4.24608	+	13.0681i	−0.181549	+	0.558752i	0.818322	+	0.574759i	$0.194904\pi$
$548$	−4.10657	+	2.98360i	−0.175424	+	0.127453i
$549$	−0.308001			−0.0131452
$550$	−11.9485	+	12.2865i	−0.509484	+	0.523900i
$551$	−22.3348			−0.951496
$552$	3.61803	−	2.62866i	0.153994	−	0.111883i
$553$	−10.9102	+	33.5781i	−0.463948	+	1.42789i
$554$	2.86847	−	8.82824i	0.121870	−	0.375076i
$555$	−8.15197	+	3.44346i	−0.346032	+	0.146167i
$556$	1.83586	+	5.65021i	0.0778580	+	0.239622i
$557$	−16.0148			−0.678569			−0.339284	−	0.940684i	$-0.610185\pi$
$557$	−16.0148			−0.678569			−0.339284	+	0.940684i	$0.610185\pi$
$558$	−1.09581	−	3.37254i	−0.0463891	−	0.142771i
$559$	26.7580	+	19.4408i	1.13174	+	0.822259i
$560$	3.38197	+	3.90430i	0.142914	+	0.164987i
$561$	21.2576	−	15.4445i	0.897496	−	0.652069i
$562$	22.1248	+	16.0746i	0.933279	+	0.678067i
$563$	−24.9328	−	18.1147i	−1.05079	−	0.763445i	−0.0784295	−	0.996920i	$-0.524991\pi$
$563$	−24.9328	−	18.1147i	−1.05079	−	0.763445i	−0.972363	+	0.233474i	$0.924991\pi$
$564$	−5.04775	+	3.66740i	−0.212548	+	0.154425i
$565$	−7.39304	−	8.53488i	−0.311028	−	0.359065i
$566$	11.3578	+	8.25191i	0.477403	+	0.346854i
$567$	−0.713839	−	2.19697i	−0.0299784	−	0.0922642i
$568$	−0.380710			−0.0159742
$569$	−11.0326	−	33.9549i	−0.462511	−	1.42346i	−0.862086	−	0.506762i	$-0.830842\pi$
$569$	−11.0326	−	33.9549i	−0.462511	−	1.42346i	0.399576	−	0.916700i	$-0.369158\pi$
$570$	6.66578	−	2.81568i	0.279199	−	0.117936i
$571$	9.21188	−	28.3513i	0.385505	−	1.18646i	−0.550608	−	0.834764i	$-0.685604\pi$
$571$	9.21188	−	28.3513i	0.385505	−	1.18646i	0.936113	−	0.351699i	$-0.114396\pi$
$572$	−5.21986	+	16.0651i	−0.218253	+	0.671715i
$573$	1.00000	−	0.726543i	0.0417756	−	0.0303517i
$574$	−0.379157			−0.0158257
$575$	−22.0344	+	3.80570i	−0.918900	+	0.158709i
$576$	1.00000			0.0416667
$577$	11.6772	−	8.48402i	0.486130	−	0.353194i	−0.317564	−	0.948237i	$-0.602865\pi$
$577$	11.6772	−	8.48402i	0.486130	−	0.353194i	0.803694	+	0.595043i	$0.202865\pi$
$578$	−12.9058	+	39.7201i	−0.536812	+	1.65214i
$579$	−8.32890	+	25.6337i	−0.346137	+	1.06530i
$580$	10.1045	+	11.6652i	0.419568	+	0.484369i
$581$	−0.932806	−	2.87088i	−0.0386993	−	0.119104i
$582$	17.2119			0.713455
$583$	12.6814	+	39.0294i	0.525211	+	1.61643i
$584$	−0.0608552	−	0.0442139i	−0.00251821	−	0.00182958i
$585$	−0.941177	−	10.9792i	−0.0389129	−	0.453935i
$586$	−1.38095	+	1.00332i	−0.0570465	+	0.0414467i
$587$	−8.65134	−	6.28557i	−0.357079	−	0.259433i	0.394754	−	0.918787i	$-0.370830\pi$
$587$	−8.65134	−	6.28557i	−0.357079	−	0.259433i	−0.751833	+	0.659354i	$0.770830\pi$
$588$	1.34600	+	0.977926i	0.0555081	+	0.0403290i
$589$	−9.28381	+	6.74509i	−0.382533	+	0.277926i
$590$	−23.2243	−	5.40463i	−0.956129	−	0.222505i
$591$	−20.5640	−	14.9406i	−0.845888	−	0.614574i
$592$	1.22296	+	3.76388i	0.0502633	+	0.154694i
$593$	1.89856			0.0779645			0.0389822	−	0.999240i	$-0.487588\pi$
$593$	1.89856			0.0779645			0.0389822	+	0.999240i	$0.487588\pi$
$594$	−1.05921	−	3.25992i	−0.0434600	−	0.133756i
$595$	3.38197	+	39.4521i	0.138647	+	1.61738i
$596$	3.05420	−	9.39987i	0.125105	−	0.385034i
$597$	6.72373	−	20.6935i	0.275184	−	0.846930i
$598$	−17.8299	+	12.9542i	−0.729119	+	0.529736i
$599$	−8.35410			−0.341339			−0.170670	−	0.985328i	$-0.554593\pi$
$599$	−8.35410			−0.341339			−0.170670	+	0.985328i	$0.554593\pi$
$600$	−4.48626	−	2.20759i	−0.183151	−	0.0901245i
$601$	2.38816			0.0974149			0.0487075	−	0.998813i	$-0.484490\pi$
$601$	2.38816			0.0974149			0.0487075	+	0.998813i	$0.484490\pi$
$602$	−12.5428	+	9.11289i	−0.511207	+	0.371414i
$603$	−1.42642	+	4.39008i	−0.0580884	+	0.178778i
$604$	−0.814025	+	2.50531i	−0.0331222	+	0.101940i
$605$	0.865088	−	1.43405i	0.0351708	−	0.0583025i
$606$	−1.76432	−	5.43002i	−0.0716706	−	0.220579i
$607$	−16.3129			−0.662122			−0.331061	−	0.943609i	$-0.607407\pi$
$607$	−16.3129			−0.662122			−0.331061	+	0.943609i	$0.607407\pi$
$608$	−1.00000	−	3.07768i	−0.0405554	−	0.124817i
$609$	−12.8986	−	9.37135i	−0.522676	−	0.379746i
$610$	0.355746	−	0.589718i	0.0144037	−	0.0238770i
$611$	24.8756	−	18.0732i	1.00636	−	0.731163i
$612$	6.20175	+	4.50583i	0.250691	+	0.182137i
$613$	−11.4823	−	8.34236i	−0.463765	−	0.336945i	0.331242	−	0.943546i	$-0.392532\pi$
$613$	−11.4823	−	8.34236i	−0.463765	−	0.336945i	−0.795006	+	0.606601i	$0.792532\pi$
$614$	−14.2119	+	10.3255i	−0.573545	+	0.416705i
$615$	0.338092	−	0.142813i	0.0136332	−	0.00575877i
$616$	−6.40584	−	4.65411i	−0.258099	−	0.187520i
$617$	9.01449	+	27.7437i	0.362910	+	1.11692i	0.951280	+	0.308329i	$0.0997698\pi$
$617$	9.01449	+	27.7437i	0.362910	+	1.11692i	−0.588370	+	0.808592i	$0.700230\pi$
$618$	−17.3457			−0.697748
$619$	−8.16617	−	25.1329i	−0.328226	−	1.01018i	−0.969963	−	0.243251i	$-0.921786\pi$
$619$	−8.16617	−	25.1329i	−0.328226	−	1.01018i	0.641737	−	0.766924i	$-0.278214\pi$
$620$	7.72296	+	1.79724i	0.310161	+	0.0721790i
$621$	1.38197	−	4.25325i	0.0554564	−	0.170677i
$622$	−2.59181	+	7.97678i	−0.103922	+	0.319840i
$623$	8.27849	−	6.01468i	0.331671	−	0.240973i
$624$	−4.92807			−0.197281
$625$	15.2531	+	19.8077i	0.610124	+	0.792306i
$626$	−25.1425			−1.00489
$627$	−8.97378	+	6.51983i	−0.358378	+	0.260377i
$628$	−1.14899	+	3.53624i	−0.0458498	+	0.141111i
$629$	−9.37493	+	28.8531i	−0.373803	+	1.15045i
$630$	5.03096	+	1.17078i	0.200438	+	0.0466449i
$631$	1.06192	+	3.26825i	0.0422743	+	0.130107i	0.969966	−	0.243240i	$-0.0782102\pi$
$631$	1.06192	+	3.26825i	0.0422743	+	0.130107i	−0.927692	+	0.373347i	$0.878210\pi$
$632$	−15.2838			−0.607957
$633$	−6.85536	−	21.0986i	−0.272476	−	0.838595i
$634$	4.81344	+	3.49717i	0.191166	+	0.138890i
$635$	−11.4849	+	4.85130i	−0.455763	+	0.192518i
$636$	−9.68598	+	7.03727i	−0.384074	+	0.279046i
$637$	−6.63318	−	4.81928i	−0.262816	−	0.190947i
$638$	−19.1392	−	13.9054i	−0.757727	−	0.550521i
$639$	−0.308001	+	0.223776i	−0.0121843	+	0.00885243i
$640$	−1.15502	+	1.91466i	−0.0456560	+	0.0756837i
$641$	7.17071	+	5.20983i	0.283226	+	0.205776i	0.720323	−	0.693638i	$-0.243993\pi$
$641$	7.17071	+	5.20983i	0.283226	+	0.205776i	−0.437097	+	0.899414i	$0.643993\pi$
$642$	0.485634	+	1.49463i	0.0191664	+	0.0589883i
$643$	−10.9508			−0.431859			−0.215930	−	0.976409i	$-0.569278\pi$
$643$	−10.9508			−0.431859			−0.215930	+	0.976409i	$0.569278\pi$
$644$	−3.19239	−	9.82516i	−0.125798	−	0.387165i
$645$	7.75188	−	12.8502i	0.305230	−	0.505978i
$646$	7.66578	−	23.5928i	0.301606	−	0.928248i
$647$	−11.2381	+	34.5873i	−0.441815	+	1.35977i	0.444124	+	0.895966i	$0.353515\pi$
$647$	−11.2381	+	34.5873i	−0.441815	+	1.35977i	−0.885939	+	0.463802i	$0.846485\pi$
$648$	0.809017	−	0.587785i	0.0317812	−	0.0230904i
$649$	36.5519			1.43479
$650$	22.1086	+	10.8792i	0.867171	+	0.426715i
$651$	−8.19161			−0.321055
$652$	11.3262	−	8.22899i	0.443570	−	0.322272i
$653$	3.58386	−	11.0300i	0.140247	−	0.431637i	−0.856122	−	0.516774i	$-0.827133\pi$
$653$	3.58386	−	11.0300i	0.140247	−	0.431637i	0.996369	+	0.0851371i	$0.0271328\pi$
$654$	3.95131	−	12.1609i	0.154509	−	0.475528i
$655$	1.17337	+	13.6879i	0.0458475	+	0.534831i
$656$	−0.0507205	−	0.156102i	−0.00198030	−	0.00609475i
$657$	−0.0752212			−0.00293466
$658$	4.45390	+	13.7077i	0.173631	+	0.534381i
$659$	39.1957	+	28.4774i	1.52685	+	1.10932i	0.957959	+	0.286907i	$0.0926270\pi$
$659$	39.1957	+	28.4774i	1.52685	+	1.10932i	0.568890	+	0.822414i	$0.307373\pi$
$660$	7.46505	+	1.73722i	0.290577	+	0.0676214i
$661$	−1.33751	+	0.971757i	−0.0520231	+	0.0377970i	−0.613493	−	0.789700i	$-0.710236\pi$
$661$	−1.33751	+	0.971757i	−0.0520231	+	0.0377970i	0.561470	+	0.827497i	$0.310236\pi$
$662$	19.5656	+	14.2152i	0.760438	+	0.552491i
$663$	−30.5626	−	22.2050i	−1.18695	−	0.862372i
$664$	1.05718	−	0.768085i	0.0410265	−	0.0298075i
$665$	−1.42768	−	16.6545i	−0.0553630	−	0.645833i
$666$	3.20175	+	2.32620i	0.124065	+	0.0901386i
$667$	−9.53812	−	29.3553i	−0.369317	−	1.13664i
$668$	24.8029			0.959654
$669$	2.44118	+	7.51317i	0.0943814	+	0.290476i
$670$	−6.75798	−	7.80173i	−0.261084	−	0.301407i
$671$	−0.326238	+	1.00406i	−0.0125943	+	0.0387612i
$672$	0.713839	−	2.19697i	0.0275370	−	0.0847500i
$673$	7.79971	−	5.66682i	0.300657	−	0.218440i	−0.427220	−	0.904147i	$-0.640507\pi$
$673$	7.79971	−	5.66682i	0.300657	−	0.218440i	0.727877	+	0.685708i	$0.240507\pi$
$674$	11.3498			0.437178
$675$	−4.92705	+	0.850981i	−0.189642	+	0.0327543i
$676$	11.2858			0.434071
$677$	7.61063	−	5.52945i	0.292500	−	0.212514i	−0.431851	−	0.901945i	$-0.642139\pi$
$677$	7.61063	−	5.52945i	0.292500	−	0.212514i	0.724351	+	0.689431i	$0.242139\pi$
$678$	−1.56047	+	4.80262i	−0.0599294	+	0.184444i
$679$	12.2865	−	37.8140i	0.471513	−	1.45117i
$680$	−15.7903	+	6.66995i	−0.605529	+	0.255781i
$681$	−0.823143	−	2.53337i	−0.0315429	−	0.0970791i
$682$	−12.1549			−0.465435
$683$	−3.20637	−	9.86818i	−0.122688	−	0.377595i	0.870785	−	0.491665i	$-0.163611\pi$
$683$	−3.20637	−	9.86818i	−0.122688	−	0.377595i	−0.993473	+	0.114069i	$0.963611\pi$
$684$	−2.61803	−	1.90211i	−0.100103	−	0.0727291i
$685$	−7.43143	−	8.57920i	−0.283940	−	0.327794i
$686$	16.1913	−	11.7637i	0.618187	−	0.449139i
$687$	7.61024	+	5.52917i	0.290349	+	0.210951i
$688$	−5.42971	−	3.94492i	−0.207006	−	0.150399i
$689$	47.7331	−	34.6802i	1.81849	−	1.32121i
$690$	6.54736	+	7.55858i	0.249254	+	0.287750i
$691$	−3.19568	−	2.32179i	−0.121569	−	0.0883252i	0.525339	−	0.850893i	$-0.323938\pi$
$691$	−3.19568	−	2.32179i	−0.121569	−	0.0883252i	−0.646908	+	0.762568i	$0.723938\pi$
$692$	6.58308	+	20.2606i	0.250251	+	0.770194i
$693$	−7.91805			−0.300782
$694$	3.56086	+	10.9592i	0.135168	+	0.416005i
$695$	−12.2375	+	5.16921i	−0.464194	+	0.196079i
$696$	2.13279	−	6.56405i	0.0808431	−	0.248810i
$697$	0.388812	−	1.19664i	0.0147273	−	0.0453260i
$698$	−1.46607	+	1.06516i	−0.0554914	+	0.0403169i
$699$	14.7867			0.559285
$700$	−8.05248	+	8.28033i	−0.304355	+	0.312967i
$701$	−14.6454			−0.553148			−0.276574	−	0.960993i	$-0.589199\pi$
$701$	−14.6454			−0.553148			−0.276574	+	0.960993i	$0.589199\pi$
$702$	−3.98689	+	2.89665i	−0.150475	+	0.109327i
$703$	3.95758	−	12.1802i	0.149263	−	0.459384i
$704$	1.05921	−	3.25992i	0.0399205	−	0.122863i
$705$	−9.13463	−	10.5454i	−0.344030	−	0.397164i
$706$	0.939338	+	2.89099i	0.0353525	+	0.108804i
$707$	−13.1890			−0.496025
$708$	3.29528	+	10.1418i	0.123844	+	0.381153i
$709$	37.2889	+	27.0920i	1.40042	+	1.01746i	0.994630	+	0.103493i	$0.0330020\pi$
$709$	37.2889	+	27.0920i	1.40042	+	1.01746i	0.405785	+	0.913968i	$0.366998\pi$
$710$	−0.0727091	−	0.848183i	−0.00272873	−	0.0318317i
$711$	−12.3649	+	8.98360i	−0.463719	+	0.336911i
$712$	3.58371	+	2.60372i	0.134305	+	0.0975785i
$713$	−12.8299	−	9.32148i	−0.480484	−	0.349092i
$714$	14.3262	−	10.4086i	0.536146	−	0.389533i
$715$	−36.7883	−	8.56116i	−1.37580	−	0.320169i
$716$	−7.72296	−	5.61106i	−0.288620	−	0.209695i
$717$	−3.89981	−	12.0024i	−0.145641	−	0.448238i
$718$	−6.09549			−0.227482
$719$	7.22238	+	22.2282i	0.269349	+	0.828971i	0.990659	+	0.136359i	$0.0435402\pi$
$719$	7.22238	+	22.2282i	0.269349	+	0.828971i	−0.721310	+	0.692612i	$0.756460\pi$
$720$	0.190983	+	2.22790i	0.00711752	+	0.0830288i
$721$	−12.3821	+	38.1081i	−0.461132	+	1.41922i
$722$	2.63525	−	8.11048i	0.0980740	−	0.301841i
$723$	13.9247	−	10.1169i	0.517865	−	0.376251i
$724$	−0.721507			−0.0268146
$725$	−24.0590	+	24.7397i	−0.893528	+	0.918810i
$726$	−0.748983			−0.0277974
$727$	6.97049	−	5.06436i	0.258521	−	0.187827i	−0.450974	−	0.892537i	$-0.648923\pi$
$727$	6.97049	−	5.06436i	0.258521	−	0.187827i	0.709495	+	0.704711i	$0.248923\pi$
$728$	−3.51785	+	10.8268i	−0.130380	+	0.401269i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	0.0868817	−	0.144023i	0.00321564	−	0.00533054i
$731$	−15.8986	−	48.9307i	−0.588029	−	1.80977i
$732$	−0.308001			−0.0113840
$733$	−4.61959	−	14.2176i	−0.170628	−	0.525140i	0.828779	−	0.559577i	$-0.189036\pi$
$733$	−4.61959	−	14.2176i	−0.170628	−	0.525140i	−0.999407	+	0.0344367i	$0.989036\pi$
$734$	−21.3148	−	15.4861i	−0.786743	−	0.571602i
$735$	−1.92166	+	3.18552i	−0.0708813	+	0.117500i
$736$	3.61803	−	2.62866i	0.133363	−	0.0968935i
$737$	12.8004	+	9.30004i	0.471509	+	0.342571i
$738$	−0.132788	−	0.0964762i	−0.00488800	−	0.00355134i
$739$	33.0484	−	24.0110i	1.21570	−	0.883261i	0.219968	−	0.975507i	$-0.429405\pi$
$739$	33.0484	−	24.0110i	1.21570	−	0.883261i	0.995736	+	0.0922465i	$0.0294048\pi$
$740$	−8.15197	+	3.44346i	−0.299672	+	0.126584i
$741$	12.9018	+	9.37374i	0.473961	+	0.344353i
$742$	8.54646	+	26.3033i	0.313750	+	0.965625i
$743$	13.6476			0.500683			0.250342	−	0.968158i	$-0.419457\pi$
$743$	13.6476			0.500683			0.250342	+	0.968158i	$0.419457\pi$
$744$	−1.09581	−	3.37254i	−0.0401742	−	0.123643i
$745$	21.5252	+	5.00924i	0.788624	+	0.183524i
$746$	−4.38274	+	13.4887i	−0.160464	+	0.493856i
$747$	0.403806	−	1.24279i	0.0147745	−	0.0454712i
$748$	21.2576	−	15.4445i	0.777255	−	0.564709i
$749$	3.63032			0.132649
$750$	4.06148	−	10.4165i	0.148304	−	0.380358i
$751$	41.3014			1.50711			0.753555	−	0.657385i	$-0.228337\pi$
$751$	41.3014			1.50711			0.753555	+	0.657385i	$0.228337\pi$
$752$	−5.04775	+	3.66740i	−0.184072	+	0.133736i
$753$	−5.59619	+	17.2233i	−0.203937	+	0.627652i
$754$	−10.5105	+	32.3481i	−0.382771	+	1.17805i
$755$	−5.73704	−	1.33509i	−0.208792	−	0.0485889i
$756$	−0.713839	−	2.19697i	−0.0259621	−	0.0799031i
$757$	18.1132			0.658337			0.329169	−	0.944271i	$-0.393232\pi$
$757$	18.1132			0.658337			0.329169	+	0.944271i	$0.393232\pi$
$758$	−9.82663	−	30.2432i	−0.356919	−	1.09848i
$759$	−12.4015	−	9.01019i	−0.450144	−	0.327049i
$760$	6.66578	−	2.81568i	0.241793	−	0.102136i
$761$	7.95941	−	5.78285i	0.288529	−	0.209628i	−0.434100	−	0.900865i	$-0.642934\pi$
$761$	7.95941	−	5.78285i	0.288529	−	0.209628i	0.722629	+	0.691236i	$0.242934\pi$
$762$	4.51076	+	3.27726i	0.163408	+	0.118723i
$763$	−23.8965	−	17.3618i	−0.865112	−	0.628541i
$764$	1.00000	−	0.726543i	0.0361787	−	0.0262854i
$765$	−8.85410	+	14.6774i	−0.320121	+	0.530662i
$766$	18.7539	+	13.6255i	0.677607	+	0.492310i
$767$	−16.2394	−	49.9796i	−0.586369	−	1.80466i
$768$	1.00000			0.0360844
$769$	−16.8687	−	51.9166i	−0.608302	−	1.87216i	−0.472262	−	0.881458i	$-0.656562\pi$
$769$	−16.8687	−	51.9166i	−0.608302	−	1.87216i	−0.136040	−	0.990703i	$-0.543438\pi$
$770$	9.14548	−	15.1604i	0.329580	−	0.546343i
$771$	−0.331245	+	1.01947i	−0.0119295	+	0.0367153i
$772$	−8.32890	+	25.6337i	−0.299764	+	0.922578i
$773$	25.9764	−	18.8729i	0.934305	−	0.678812i	−0.0127381	−	0.999919i	$-0.504055\pi$
$773$	25.9764	−	18.8729i	0.934305	−	0.678812i	0.947043	+	0.321107i	$0.104055\pi$
$774$	−6.71149			−0.241240
$775$	−2.52912	+	17.5492i	−0.0908487	+	0.630386i
$776$	17.2119			0.617870
$777$	7.39614	−	5.37361i	0.265335	−	0.192777i
$778$	3.94657	−	12.1463i	0.141491	−	0.435466i
$779$	−0.164135	+	0.505156i	−0.00588075	+	0.0180991i
$780$	−0.941177	−	10.9792i	−0.0336995	−	0.393119i
$781$	0.403252	+	1.24108i	0.0144295	+	0.0444094i
$782$	34.2824			1.22594
$783$	−2.13279	−	6.56405i	−0.0762196	−	0.234580i
$784$	1.34600	+	0.977926i	0.0480714	+	0.0349259i
$785$	−8.09781	−	1.88448i	−0.289023	−	0.0672599i
$786$	4.97049	−	3.61127i	0.177292	−	0.128810i
$787$	43.1703	+	31.3651i	1.53886	+	1.11804i	0.951048	+	0.309044i	$0.100009\pi$
$787$	43.1703	+	31.3651i	1.53886	+	1.11804i	0.587808	+	0.809000i	$0.299991\pi$
$788$	−20.5640	−	14.9406i	−0.732560	−	0.532236i
$789$	19.8756	−	14.4405i	0.707591	−	0.514095i
$790$	−2.91895	−	34.0508i	−0.103852	−	1.21147i
$791$	9.43731	+	6.85661i	0.335552	+	0.243793i
$792$	−1.05921	−	3.25992i	−0.0376374	−	0.115836i
$793$	1.51785			0.0539004
$794$	−5.21110	−	16.0381i	−0.184935	−	0.569172i
$795$	−17.5282	−	20.2354i	−0.621660	−	0.717674i
$796$	6.72373	−	20.6935i	0.238316	−	0.733463i
$797$	3.52634	−	10.8530i	0.124909	−	0.384431i	−0.868975	−	0.494856i	$-0.835221\pi$
$797$	3.52634	−	10.8530i	0.124909	−	0.384431i	0.993885	+	0.110424i	$0.0352209\pi$
$798$	−6.04775	+	4.39394i	−0.214088	+	0.155544i
$799$	−47.8295			−1.69209
$800$	−4.48626	−	2.20759i	−0.158613	−	0.0780501i
$801$	4.42971			0.156516
$802$	1.63443	−	1.18748i	0.0577138	−	0.0419315i
$803$	−0.0796751	+	0.245215i	−0.00281167	+	0.00865344i
$804$	−1.42642	+	4.39008i	−0.0503061	+	0.154826i
$805$	21.2797	−	8.98875i	0.750013	−	0.316812i
$806$	5.40020	+	16.6201i	0.190214	+	0.585419i
$807$	−20.1824			−0.710453
$808$	−1.76432	−	5.43002i	−0.0620686	−	0.191027i
$809$	−22.9630	−	16.6836i	−0.807337	−	0.586564i	0.105721	−	0.994396i	$-0.466285\pi$
$809$	−22.9630	−	16.6836i	−0.807337	−	0.586564i	−0.913057	+	0.407831i	$0.866285\pi$
$810$	1.46403	+	1.69015i	0.0514409	+	0.0593858i
$811$	−32.0027	+	23.2513i	−1.12377	+	0.816463i	−0.984776	−	0.173831i	$-0.944386\pi$
$811$	−32.0027	+	23.2513i	−1.12377	+	0.816463i	−0.138990	+	0.990294i	$0.544386\pi$
$812$	−12.8986	−	9.37135i	−0.452651	−	0.328870i
$813$	4.06250	+	2.95158i	0.142478	+	0.103516i
$814$	10.9746	−	7.97348i	0.384658	−	0.279470i
$815$	20.4965	+	23.6621i	0.717960	+	0.828847i
$816$	6.20175	+	4.50583i	0.217105	+	0.157736i
$817$	6.71149	+	20.6558i	0.234805	+	0.722657i
$818$	−3.80495			−0.133037
$819$	3.51785	+	10.8268i	0.122924	+	0.378320i
$820$	0.338092	−	0.142813i	0.0118067	−	0.00498724i
$821$	−7.65811	+	23.5692i	−0.267270	+	0.822572i	0.723892	+	0.689913i	$0.242351\pi$
$821$	−7.65811	+	23.5692i	−0.267270	+	0.822572i	−0.991162	+	0.132659i	$0.957649\pi$
$822$	−1.56857	+	4.82756i	−0.0547101	+	0.168381i
$823$	−5.39437	+	3.91924i	−0.188036	+	0.136616i	−0.677821	−	0.735227i	$-0.737075\pi$
$823$	−5.39437	+	3.91924i	−0.188036	+	0.136616i	0.489785	+	0.871843i	$0.337075\pi$
$824$	−17.3457			−0.604267
$825$	−2.44466	+	16.9631i	−0.0851121	+	0.590581i
$826$	24.6336			0.857113
$827$	−8.30060	+	6.03074i	−0.288640	+	0.209709i	−0.722677	−	0.691186i	$-0.757089\pi$
$827$	−8.30060	+	6.03074i	−0.288640	+	0.209709i	0.434037	+	0.900895i	$0.357089\pi$
$828$	1.38197	−	4.25325i	0.0480266	−	0.147811i
$829$	−13.0307	+	40.1043i	−0.452575	+	1.39288i	0.421385	+	0.906882i	$0.361544\pi$
$829$	−13.0307	+	40.1043i	−0.452575	+	1.39288i	−0.873959	+	0.485999i	$0.838456\pi$
$830$	1.91312	+	2.20859i	0.0664053	+	0.0766614i
$831$	−2.86847	−	8.82824i	−0.0995060	−	0.306248i
$832$	−4.92807			−0.170850
$833$	3.94118	+	12.1297i	0.136554	+	0.420269i
$834$	4.80636	+	3.49202i	0.166431	+	0.120919i
$835$	4.73694	+	55.2583i	0.163928	+	1.91229i
$836$	−8.97378	+	6.51983i	−0.310365	+	0.225493i
$837$	−2.86886	−	2.08435i	−0.0991622	−	0.0720455i
$838$	−6.10696	−	4.43696i	−0.210961	−	0.153272i
$839$	37.9625	−	27.5814i	1.31061	−	0.952215i	0.310613	−	0.950537i	$-0.399466\pi$
$839$	37.9625	−	27.5814i	1.31061	−	0.952215i	0.999999	−	0.00167835i	$-0.000534236\pi$
$840$	5.03096	+	1.17078i	0.173585	+	0.0403956i
$841$	−15.0764	−	10.9537i	−0.519877	−	0.377713i
$842$	−4.73955	−	14.5868i	−0.163336	−	0.502696i
$843$	27.3478			0.941907
$844$	−6.85536	−	21.0986i	−0.235971	−	0.726245i
$845$	2.15540	+	25.1437i	0.0741482	+	0.864970i
$846$	−1.92807	+	5.93398i	−0.0662883	+	0.204014i
$847$	−0.534654	+	1.64550i	−0.0183709	+	0.0565399i
$848$	−9.68598	+	7.03727i	−0.332618	+	0.241661i
$849$	14.0390			0.481817
$850$	−17.8756	−	33.9053i	−0.613129	−	1.16294i
$851$	17.6988			0.606708
$852$	−0.308001	+	0.223776i	−0.0105519	+	0.00766643i
$853$	−2.49257	+	7.67135i	−0.0853440	+	0.262662i	−0.984617	−	0.174726i	$-0.944096\pi$
$853$	−2.49257	+	7.67135i	−0.0853440	+	0.262662i	0.899273	+	0.437388i	$0.144096\pi$
$854$	−0.219863	+	0.676669i	−0.00752356	+	0.0231551i
$855$	3.73771	−	6.19598i	0.127827	−	0.211898i
$856$	0.485634	+	1.49463i	0.0165986	+	0.0510853i
$857$	15.1446			0.517331			0.258666	−	0.965967i	$-0.416717\pi$
$857$	15.1446			0.517331			0.258666	+	0.965967i	$0.416717\pi$
$858$	5.21986	+	16.0651i	0.178203	+	0.548453i
$859$	−7.55268	−	5.48734i	−0.257694	−	0.187226i	0.451436	−	0.892304i	$-0.350912\pi$
$859$	−7.55268	−	5.48734i	−0.257694	−	0.187226i	−0.709130	+	0.705078i	$0.750912\pi$
$860$	7.75188	−	12.8502i	0.264337	−	0.438190i
$861$	−0.306745	+	0.222863i	−0.0104538	+	0.00759516i
$862$	7.59181	+	5.51578i	0.258578	+	0.187868i
$863$	6.85207	+	4.97832i	0.233247	+	0.169464i	0.698270	−	0.715835i	$-0.253954\pi$
$863$	6.85207	+	4.97832i	0.233247	+	0.169464i	−0.465022	+	0.885299i	$0.653954\pi$
$864$	0.809017	−	0.587785i	0.0275233	−	0.0199969i
$865$	−43.8814	+	18.5359i	−1.49201	+	0.630239i
$866$	−24.4735	−	17.7810i	−0.831642	−	0.604223i
$867$	12.9058	+	39.7201i	0.438305	+	1.34896i
$868$	−8.19161			−0.278041
$869$	16.1888	+	49.8240i	0.549167	+	1.69016i
$870$	15.0313	+	3.49801i	0.509610	+	0.118594i
$871$	7.02951	−	21.6346i	0.238186	−	0.733061i
$872$	3.95131	−	12.1609i	0.133808	−	0.411820i
$873$	13.9247	−	10.1169i	0.471280	−	0.342405i
$874$	−14.4721			−0.489527
$875$	−19.9856	−	16.3587i	−0.675637	−	0.553025i
$876$	−0.0752212			−0.00254149
$877$	15.8678	−	11.5287i	0.535819	−	0.389295i	−0.286711	−	0.958017i	$-0.592562\pi$
$877$	15.8678	−	11.5287i	0.535819	−	0.389295i	0.822530	+	0.568722i	$0.192562\pi$
$878$	−11.7687	+	36.2202i	−0.397173	+	1.22237i
$879$	−0.527476	+	1.62340i	−0.0177913	+	0.0547561i
$880$	7.46505	+	1.73722i	0.251647	+	0.0585618i
$881$	−0.663267	−	2.04133i	−0.0223460	−	0.0687740i	0.939262	−	0.343202i	$-0.111512\pi$
$881$	−0.663267	−	2.04133i	−0.0223460	−	0.0687740i	−0.961608	+	0.274428i	$0.911512\pi$
$882$	1.66375			0.0560213
$883$	−0.291020	−	0.895667i	−0.00979360	−	0.0301416i	0.946040	−	0.324049i	$-0.105044\pi$
$883$	−0.291020	−	0.895667i	−0.00979360	−	0.0301416i	−0.955834	+	0.293907i	$0.905044\pi$
$884$	−30.5626	−	22.2050i	−1.02793	−	0.746836i
$885$	−21.9656	+	9.27846i	−0.738366	+	0.311892i
$886$	−1.24425	+	0.903997i	−0.0418012	+	0.0303704i
$887$	26.5838	+	19.3143i	0.892598	+	0.648510i	0.936554	−	0.350523i	$-0.113996\pi$
$887$	26.5838	+	19.3143i	0.892598	+	0.648510i	−0.0439563	+	0.999033i	$0.513996\pi$
$888$	3.20175	+	2.32620i	0.107444	+	0.0780623i
$889$	10.4200	−	7.57058i	0.349476	−	0.253909i
$890$	−5.11639	+	8.48141i	−0.171502	+	0.284297i
$891$	−2.77305	−	2.01474i	−0.0929007	−	0.0674963i
$892$	2.44118	+	7.51317i	0.0817367	+	0.251560i
$893$	20.1910			0.675665
$894$	−3.05420	−	9.39987i	−0.102148	−	0.314379i
$895$	11.0259	−	18.2776i	0.368555	−	0.610952i
$896$	0.713839	−	2.19697i	0.0238477	−	0.0733957i
$897$	−6.81042	+	20.9603i	−0.227393	+	0.699845i
$898$	11.3626	−	8.25541i	0.379175	−	0.275486i
$899$	−24.4746			−0.816275
$900$	−4.92705	+	0.850981i	−0.164235	+	0.0283660i
$901$	−91.7787			−3.05759
$902$	−0.455155	+	0.330689i	−0.0151550	+	0.0110108i
$903$	−4.79093	+	14.7450i	−0.159432	+	0.490682i
$904$	−1.56047	+	4.80262i	−0.0519004	+	0.159733i
$905$	−0.137796	−	1.60744i	−0.00458048	−	0.0534332i
$906$	0.814025	+	2.50531i	0.0270442	+	0.0832333i
$907$	−54.8128			−1.82003			−0.910014	−	0.414577i	$-0.863930\pi$
$907$	−54.8128			−1.82003			−0.910014	+	0.414577i	$0.863930\pi$
$908$	−0.823143	−	2.53337i	−0.0273170	−	0.0840730i
$909$	−4.61905	−	3.35594i	−0.153204	−	0.111309i
$910$	−24.7929	−	5.76967i	−0.821877	−	0.191263i
$911$	−10.0457	+	7.29864i	−0.332829	+	0.241815i	−0.741630	−	0.670809i	$-0.765947\pi$
$911$	−10.0457	+	7.29864i	−0.332829	+	0.241815i	0.408801	+	0.912624i	$0.365947\pi$
$912$	−2.61803	−	1.90211i	−0.0866918	−	0.0629853i
$913$	−3.62367	−	2.63275i	−0.119926	−	0.0871313i
$914$	11.7913	−	8.56687i	0.390021	−	0.283367i
$915$	−0.0588229	−	0.686194i	−0.00194463	−	0.0226849i
$916$	7.61024	+	5.52917i	0.251450	+	0.182689i
$917$	−4.38573	−	13.4979i	−0.144830	−	0.445740i
$918$	7.66578			0.253008
$919$	10.1076	+	31.1081i	0.333420	+	1.02616i	0.967495	+	0.252890i	$0.0813810\pi$
$919$	10.1076	+	31.1081i	0.333420	+	1.02616i	−0.634075	+	0.773271i	$0.718619\pi$
$920$	6.54736	+	7.55858i	0.215860	+	0.249199i
$921$	−5.42846	+	16.7071i	−0.178874	+	0.550517i
$922$	−5.58386	+	17.1854i	−0.183895	+	0.565969i
$923$	1.51785	−	1.10278i	0.0499606	−	0.0362985i
$924$	−7.91805			−0.260485
$925$	−9.22856	−	17.5041i	−0.303433	−	0.575531i
$926$	−20.5585			−0.675595
$927$	−14.0330	+	10.1956i	−0.460904	+	0.334866i
$928$	2.13279	−	6.56405i	0.0700122	−	0.215475i
$929$	−11.6232	+	35.7724i	−0.381344	+	1.17365i	0.557755	+	0.830006i	$0.311663\pi$
$929$	−11.6232	+	35.7724i	−0.381344	+	1.17365i	−0.939098	+	0.343649i	$0.888337\pi$
$930$	7.30440	−	3.08544i	0.239521	−	0.101176i
$931$	−1.66375	−	5.12049i	−0.0545271	−	0.167817i
$932$	14.7867			0.484355
$933$	2.59181	+	7.97678i	0.0848522	+	0.261148i
$934$	20.3864	+	14.8116i	0.667063	+	0.484650i
$935$	38.4687	+	44.4101i	1.25806	+	1.45237i
$936$	−3.98689	+	2.89665i	−0.130316	+	0.0946798i
$937$	−21.7311	−	15.7885i	−0.709923	−	0.515789i	0.173226	−	0.984882i	$-0.444581\pi$
$937$	−21.7311	−	15.7885i	−0.709923	−	0.515789i	−0.883149	+	0.469093i	$0.844581\pi$
$938$	8.62664	+	6.26762i	0.281670	+	0.204645i
$939$	−20.3407	+	14.7784i	−0.663793	+	0.482274i
$940$	−9.13463	−	10.5454i	−0.297939	−	0.343955i
$941$	34.6644	+	25.1852i	1.13003	+	0.821014i	0.985699	−	0.168516i	$-0.0538974\pi$
$941$	34.6644	+	25.1852i	1.13003	+	0.821014i	0.144330	+	0.989530i	$0.453897\pi$
$942$	1.14899	+	3.53624i	0.0374362	+	0.115217i
$943$	−0.734034			−0.0239035
$944$	3.29528	+	10.1418i	0.107252	+	0.330088i
$945$	4.75830	−	2.00995i	0.154787	−	0.0653835i
$946$	−7.10889	+	21.8789i	−0.231130	+	0.711345i
$947$	10.4191	−	32.0668i	0.338577	−	1.04203i	−0.626357	−	0.779537i	$-0.715455\pi$
$947$	10.4191	−	32.0668i	0.338577	−	1.04203i	0.964933	−	0.262495i	$-0.0845454\pi$
$948$	−12.3649	+	8.98360i	−0.401592	+	0.291774i
$949$	0.370695			0.0120333
$950$	7.54610	+	14.3129i	0.244828	+	0.464373i
$951$	5.94974			0.192934
$952$	14.3262	−	10.4086i	0.464316	−	0.337345i
$953$	−4.02931	+	12.4010i	−0.130522	+	0.401706i	−0.994867	−	0.101194i	$-0.967734\pi$
$953$	−4.02931	+	12.4010i	−0.130522	+	0.401706i	0.864344	+	0.502900i	$0.167734\pi$
$954$	−3.69971	+	11.3865i	−0.119783	+	0.368653i
$955$	1.80964	+	2.08914i	0.0585587	+	0.0676030i
$956$	−3.89981	−	12.0024i	−0.126129	−	0.388185i
$957$	−23.6573			−0.764732
$958$	−0.809645	−	2.49183i	−0.0261584	−	0.0805074i
$959$	9.48631	+	6.89221i	0.306329	+	0.222561i
$960$	0.190983	+	2.22790i	0.00616395	+	0.0719051i
$961$	14.9063	−	10.8300i	0.480848	−	0.349356i
$962$	−15.7784	−	11.4637i	−0.508717	−	0.369604i
$963$	1.27141	+	0.923731i	0.0409705	+	0.0297668i
$964$	13.9247	−	10.1169i	0.448485	−	0.325843i
$965$	−58.7000	−	13.6603i	−1.88962	−	0.439741i
$966$	−8.35778	−	6.07228i	−0.268907	−	0.195372i
$967$	−6.53843	−	20.1232i	−0.210262	−	0.647119i	−0.999456	−	0.0329758i	$-0.989502\pi$
$967$	−6.53843	−	20.1232i	−0.210262	−	0.647119i	0.789194	−	0.614144i	$-0.210498\pi$
$968$	−0.748983			−0.0240732
$969$	−7.66578	−	23.5928i	−0.246260	−	0.757911i
$970$	3.28718	+	38.3463i	0.105545	+	1.23123i
$971$	1.55251	−	4.77814i	0.0498225	−	0.153338i	−0.923050	−	0.384680i	$-0.874312\pi$
$971$	1.55251	−	4.77814i	0.0498225	−	0.153338i	0.972872	+	0.231342i	$0.0743117\pi$
$972$	0.309017	−	0.951057i	0.00991172	−	0.0305052i
$973$	11.1028	−	8.06669i	0.355941	−	0.258606i
$974$	−25.1481			−0.805796
$975$	24.2808	−	4.19369i	0.777609	−	0.134306i
$976$	−0.308001			−0.00985887
$977$	−49.4746	+	35.9454i	−1.58283	+	1.15000i	−0.669477	+	0.742833i	$0.733482\pi$
$977$	−49.4746	+	35.9454i	−1.58283	+	1.15000i	−0.913356	+	0.407162i	$0.866518\pi$
$978$	4.32624	−	13.3148i	0.138338	−	0.425760i
$979$	4.69200	−	14.4405i	0.149957	−	0.461520i
$980$	−1.92166	+	3.18552i	−0.0613850	+	0.101758i
$981$	−3.95131	−	12.1609i	−0.126156	−	0.388267i
$982$	−31.6216			−1.00908
$983$	−9.94678	−	30.6131i	−0.317253	−	0.976405i	−0.974817	−	0.223006i	$-0.928413\pi$
$983$	−9.94678	−	30.6131i	−0.317253	−	0.976405i	0.657564	−	0.753399i	$-0.271587\pi$
$984$	−0.132788	−	0.0964762i	−0.00423313	−	0.00307555i
$985$	29.3587	−	48.6678i	0.935447	−	1.55068i
$986$	42.8035	−	31.0986i	1.36314	−	0.990380i
$987$	11.6605	+	8.47182i	0.371156	+	0.269661i
$988$	12.9018	+	9.37374i	0.410462	+	0.298218i
$989$	−24.2824	+	17.6422i	−0.772136	+	0.560989i
$990$	7.06047	−	2.98240i	0.224396	−	0.0947870i
$991$	−22.8588	−	16.6079i	−0.726135	−	0.527568i	0.162203	−	0.986757i	$-0.448140\pi$
$991$	−22.8588	−	16.6079i	−0.726135	−	0.527568i	−0.888338	+	0.459189i	$0.848140\pi$
$992$	−1.09581	−	3.37254i	−0.0347919	−	0.107078i
$993$	24.1844			0.767469
$994$	0.271766	+	0.836409i	0.00861989	+	0.0265293i
$995$	47.3872	+	11.0277i	1.50227	+	0.349601i
$996$	0.403806	−	1.24279i	0.0127951	−	0.0393793i
$997$	1.06317	−	3.27211i	0.0336711	−	0.103629i	−0.932808	−	0.360372i	$-0.882650\pi$
$997$	1.06317	−	3.27211i	0.0336711	−	0.103629i	0.966480	+	0.256744i	$0.0826496\pi$
$998$	−23.1594	+	16.8263i	−0.733099	+	0.532628i
$999$	3.95758			0.125212

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.g.c.61.2	✓	8
3.2	odd	2		450.2.h.d.361.1		8
5.2	odd	4		750.2.h.e.199.3		16
5.3	odd	4		750.2.h.e.199.2		16
5.4	even	2		750.2.g.d.301.2		8
25.3	odd	20		3750.2.c.h.1249.7		8
25.4	even	10		3750.2.a.q.1.3		4
25.9	even	10		750.2.g.d.451.2		8
25.12	odd	20		750.2.h.e.49.1		16
25.13	odd	20		750.2.h.e.49.4		16
25.16	even	5	inner	150.2.g.c.91.2	yes	8
25.21	even	5		3750.2.a.l.1.2		4
25.22	odd	20		3750.2.c.h.1249.2		8
75.41	odd	10		450.2.h.d.91.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.g.c.61.2	✓	8	1.1	even	1	trivial
150.2.g.c.91.2	yes	8	25.16	even	5	inner
450.2.h.d.91.1		8	75.41	odd	10
450.2.h.d.361.1		8	3.2	odd	2
750.2.g.d.301.2		8	5.4	even	2
750.2.g.d.451.2		8	25.9	even	10
750.2.h.e.49.1		16	25.12	odd	20
750.2.h.e.49.4		16	25.13	odd	20
750.2.h.e.199.2		16	5.3	odd	4
750.2.h.e.199.3		16	5.2	odd	4
3750.2.a.l.1.2		4	25.21	even	5
3750.2.a.q.1.3		4	25.4	even	10
3750.2.c.h.1249.2		8	25.22	odd	20
3750.2.c.h.1249.7		8	25.3	odd	20

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:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	150.g (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.17787 + 0.506822i) q^{5} +(-0.309017 - 0.951057i) q^{6} -2.31003 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.17787 + 0.506822i) q^{5} +(-0.309017 - 0.951057i) q^{6} -2.31003 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(2.05984 - 0.870094i) q^{10} +(-2.77305 + 2.01474i) q^{11} +(-0.809017 - 0.587785i) q^{12} +(3.98689 + 2.89665i) q^{13} +(-1.86886 + 1.35780i) q^{14} +(1.15502 - 1.91466i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-2.36886 - 7.29059i) q^{17} -1.00000 q^{18} +(1.00000 + 3.07768i) q^{19} +(1.15502 - 1.91466i) q^{20} +(-0.713839 + 2.19697i) q^{21} +(-1.05921 + 3.25992i) q^{22} +(-3.61803 + 2.62866i) q^{23} -1.00000 q^{24} +(4.48626 + 2.20759i) q^{25} +4.92807 q^{26} +(-0.809017 + 0.587785i) q^{27} +(-0.713839 + 2.19697i) q^{28} +(-2.13279 + 6.56405i) q^{29} +(-0.190983 - 2.22790i) q^{30} +(1.09581 + 3.37254i) q^{31} -1.00000 q^{32} +(1.05921 + 3.25992i) q^{33} +(-6.20175 - 4.50583i) q^{34} +(-5.03096 - 1.17078i) q^{35} +(-0.809017 + 0.587785i) q^{36} +(-3.20175 - 2.32620i) q^{37} +(2.61803 + 1.90211i) q^{38} +(3.98689 - 2.89665i) q^{39} +(-0.190983 - 2.22790i) q^{40} +(0.132788 + 0.0964762i) q^{41} +(0.713839 + 2.19697i) q^{42} +6.71149 q^{43} +(1.05921 + 3.25992i) q^{44} +(-1.46403 - 1.69015i) q^{45} +(-1.38197 + 4.25325i) q^{46} +(1.92807 - 5.93398i) q^{47} +(-0.809017 + 0.587785i) q^{48} -1.66375 q^{49} +(4.92705 - 0.850981i) q^{50} -7.66578 q^{51} +(3.98689 - 2.89665i) q^{52} +(3.69971 - 11.3865i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-7.06047 + 2.98240i) q^{55} +(0.713839 + 2.19697i) q^{56} +3.23607 q^{57} +(2.13279 + 6.56405i) q^{58} +(-8.62715 - 6.26799i) q^{59} +(-1.46403 - 1.69015i) q^{60} +(0.249178 - 0.181038i) q^{61} +(2.86886 + 2.08435i) q^{62} +(1.86886 + 1.35780i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(7.21486 + 8.32917i) q^{65} +(2.77305 + 2.01474i) q^{66} +(-1.42642 - 4.39008i) q^{67} -7.66578 q^{68} +(1.38197 + 4.25325i) q^{69} +(-4.75830 + 2.00995i) q^{70} +(0.117646 - 0.362077i) q^{71} +(-0.309017 + 0.951057i) q^{72} +(0.0608552 - 0.0442139i) q^{73} -3.95758 q^{74} +(3.48587 - 3.58451i) q^{75} +3.23607 q^{76} +(6.40584 - 4.65411i) q^{77} +(1.52286 - 4.68687i) q^{78} +(4.72296 - 14.5358i) q^{79} +(-1.46403 - 1.69015i) q^{80} +(0.309017 + 0.951057i) q^{81} +0.164135 q^{82} +(0.403806 + 1.24279i) q^{83} +(1.86886 + 1.35780i) q^{84} +(-1.46403 - 17.0786i) q^{85} +(5.42971 - 3.94492i) q^{86} +(5.58371 + 4.05680i) q^{87} +(2.77305 + 2.01474i) q^{88} +(-3.58371 + 2.60372i) q^{89} +(-2.17787 - 0.506822i) q^{90} +(-9.20985 - 6.69135i) q^{91} +(1.38197 + 4.25325i) q^{92} +3.54610 q^{93} +(-1.92807 - 5.93398i) q^{94} +(0.618034 + 7.20963i) q^{95} +(-0.309017 + 0.951057i) q^{96} +(-5.31876 + 16.3695i) q^{97} +(-1.34600 + 0.977926i) q^{98} +3.42768 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} - 2 q^{3} - 2 q^{4} - 4 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 - 2 * q^3 - 2 * q^4 - 4 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 - 2 * q^9	\( 8 q + 2 q^{2} - 2 q^{3} - 2 q^{4} - 4 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} - 2 q^{9} + 4 q^{10} - 5 q^{11} - 2 q^{12} + 6 q^{13} + 2 q^{14} + q^{15} - 2 q^{16} - 2 q^{17} - 8 q^{18} + 8 q^{19} + q^{20} + 3 q^{21} - 20 q^{23} - 8 q^{24} + 14 q^{25} + 14 q^{26} - 2 q^{27} + 3 q^{28} - 18 q^{29} - 6 q^{30} + 9 q^{31} - 8 q^{32} - 3 q^{34} - 4 q^{35} - 2 q^{36} + 21 q^{37} + 12 q^{38} + 6 q^{39} - 6 q^{40} + 2 q^{41} - 3 q^{42} - 32 q^{43} + q^{45} - 20 q^{46} - 10 q^{47} - 2 q^{48} + 22 q^{49} + 26 q^{50} - 2 q^{51} + 6 q^{52} + 7 q^{53} + 2 q^{54} - 40 q^{55} - 3 q^{56} + 8 q^{57} + 18 q^{58} - 25 q^{59} + q^{60} + 10 q^{61} + 6 q^{62} - 2 q^{63} - 2 q^{64} + 37 q^{65} + 5 q^{66} - 2 q^{67} - 2 q^{68} + 20 q^{69} - 11 q^{70} + 2 q^{72} - 24 q^{73} - 26 q^{74} + 14 q^{75} + 8 q^{76} + 35 q^{77} - q^{78} - 6 q^{79} + q^{80} - 2 q^{81} - 42 q^{82} + 11 q^{83} - 2 q^{84} + q^{85} + 2 q^{86} + 7 q^{87} + 5 q^{88} + 9 q^{89} + 4 q^{90} - 4 q^{91} + 20 q^{92} - 6 q^{93} + 10 q^{94} - 4 q^{95} + 2 q^{96} + q^{97} - 7 q^{98} + 10 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 - 2 * q^3 - 2 * q^4 - 4 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 - 2 * q^9 + 4 * q^10 - 5 * q^11 - 2 * q^12 + 6 * q^13 + 2 * q^14 + q^15 - 2 * q^16 - 2 * q^17 - 8 * q^18 + 8 * q^19 + q^20 + 3 * q^21 - 20 * q^23 - 8 * q^24 + 14 * q^25 + 14 * q^26 - 2 * q^27 + 3 * q^28 - 18 * q^29 - 6 * q^30 + 9 * q^31 - 8 * q^32 - 3 * q^34 - 4 * q^35 - 2 * q^36 + 21 * q^37 + 12 * q^38 + 6 * q^39 - 6 * q^40 + 2 * q^41 - 3 * q^42 - 32 * q^43 + q^45 - 20 * q^46 - 10 * q^47 - 2 * q^48 + 22 * q^49 + 26 * q^50 - 2 * q^51 + 6 * q^52 + 7 * q^53 + 2 * q^54 - 40 * q^55 - 3 * q^56 + 8 * q^57 + 18 * q^58 - 25 * q^59 + q^60 + 10 * q^61 + 6 * q^62 - 2 * q^63 - 2 * q^64 + 37 * q^65 + 5 * q^66 - 2 * q^67 - 2 * q^68 + 20 * q^69 - 11 * q^70 + 2 * q^72 - 24 * q^73 - 26 * q^74 + 14 * q^75 + 8 * q^76 + 35 * q^77 - q^78 - 6 * q^79 + q^80 - 2 * q^81 - 42 * q^82 + 11 * q^83 - 2 * q^84 + q^85 + 2 * q^86 + 7 * q^87 + 5 * q^88 + 9 * q^89 + 4 * q^90 - 4 * q^91 + 20 * q^92 - 6 * q^93 + 10 * q^94 - 4 * q^95 + 2 * q^96 + q^97 - 7 * q^98 + 10 * q^99

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