LMFDB - Embedded newform 50.2.d.b.21.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [50,2,Mod(11,50)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(50, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([8]))

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

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

chi := DirichletCharacter("50.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 50 = 2 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	50.d (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:	$0.399252010106$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.58140625.2
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 4x^{6} - 7x^{5} + 11x^{4} + 5x^{3} - 10x^{2} - 25x + 25 $ x^8 - 3x^7 + 4x^6 - 7x^5 + 11x^4 + 5x^3 - 10x^2 - 25*x + 25
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			21.1
Root			$-0.983224 - 0.644389i$ of defining polynomial
Character	$\chi$	$=$	50.21
Dual form			50.2.d.b.31.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(-2.39991 - 1.74363i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.15743 + 0.587785i) q^{5} +(-2.39991 + 1.74363i) q^{6} +1.83337 q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.79224 + 5.51595i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(-2.39991 - 1.74363i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.15743 + 0.587785i) q^{5} +(-2.39991 + 1.74363i) q^{6} +1.83337 q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.79224 + 5.51595i) q^{9} +(1.22570 - 1.87020i) q^{10} +(-0.566541 + 1.74363i) q^{11} +(0.916683 + 2.82126i) q^{12} +(-0.747156 - 2.29951i) q^{13} +(0.566541 - 1.74363i) q^{14} +(-4.15275 - 5.17240i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-2.25284 + 1.63679i) q^{17} +5.79981 q^{18} +(1.35294 - 0.982966i) q^{19} +(-1.39991 - 1.74363i) q^{20} +(-4.39991 - 3.19672i) q^{21} +(1.48322 + 1.07763i) q^{22} +(-2.39991 + 7.38615i) q^{23} +2.96645 q^{24} +(4.30902 + 2.53621i) q^{25} -2.41785 q^{26} +(2.56654 - 7.89900i) q^{27} +(-1.48322 - 1.07763i) q^{28} +(-6.13597 - 4.45805i) q^{29} +(-6.20252 + 2.35114i) q^{30} +(4.28304 - 3.11181i) q^{31} +1.00000 q^{32} +(4.39991 - 3.19672i) q^{33} +(0.860510 + 2.64838i) q^{34} +(3.95536 + 1.07763i) q^{35} +(1.79224 - 5.51595i) q^{36} +(-0.406315 - 1.25051i) q^{37} +(-0.516776 - 1.59047i) q^{38} +(-2.21640 + 6.82138i) q^{39} +(-2.09089 + 0.792578i) q^{40} +(1.08621 + 3.34301i) q^{41} +(-4.39991 + 3.19672i) q^{42} -4.30550 q^{43} +(1.48322 - 1.07763i) q^{44} +(0.624442 + 12.9537i) q^{45} +(6.28304 + 4.56489i) q^{46} +(-1.48322 - 1.07763i) q^{47} +(0.916683 - 2.82126i) q^{48} -3.63877 q^{49} +(3.74364 - 3.31439i) q^{50} +8.26057 q^{51} +(-0.747156 + 2.29951i) q^{52} +(5.27267 + 3.83082i) q^{53} +(-6.71929 - 4.88185i) q^{54} +(-2.24716 + 3.42877i) q^{55} +(-1.48322 + 1.07763i) q^{56} -4.96086 q^{57} +(-6.13597 + 4.45805i) q^{58} +(-2.79981 - 8.61694i) q^{59} +(0.319385 + 6.62549i) q^{60} +(0.799717 - 2.46127i) q^{61} +(-1.63597 - 5.03501i) q^{62} +(3.28583 + 10.1128i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-0.260320 - 5.40020i) q^{65} +(-1.68061 - 5.17240i) q^{66} +(-7.68574 + 5.58402i) q^{67} +2.78467 q^{68} +(18.6383 - 13.5415i) q^{69} +(2.24716 - 3.42877i) q^{70} +(-0.247156 - 0.179569i) q^{71} +(-4.69215 - 3.40904i) q^{72} +(4.61920 - 14.2164i) q^{73} -1.31486 q^{74} +(-5.91901 - 13.6000i) q^{75} -1.67232 q^{76} +(-1.03868 + 3.19672i) q^{77} +(5.80261 + 4.21584i) q^{78} +(2.79981 + 2.03418i) q^{79} +(0.107666 + 2.23347i) q^{80} +(-5.85599 + 4.25462i) q^{81} +3.51505 q^{82} +(5.15555 - 3.74572i) q^{83} +(1.68061 + 5.17240i) q^{84} +(-5.82243 + 2.20707i) q^{85} +(-1.33047 + 4.09478i) q^{86} +(6.95256 + 21.3978i) q^{87} +(-0.566541 - 1.74363i) q^{88} +(-1.02608 + 3.15794i) q^{89} +(12.5127 + 3.40904i) q^{90} +(-1.36981 - 4.21584i) q^{91} +(6.28304 - 4.56489i) q^{92} -15.7047 q^{93} +(-1.48322 + 1.07763i) q^{94} +(3.49664 - 1.32545i) q^{95} +(-2.39991 - 1.74363i) q^{96} +(-8.97214 - 6.51864i) q^{97} +(-1.12444 + 3.46068i) q^{98} -10.6332 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 2 q^{2} - 3 q^{3} - 2 q^{4} - 3 q^{6} + 4 q^{7} - 2 q^{8} - q^{9}+O(q^{10}) $ 8 * q - 2 * q^2 - 3 * q^3 - 2 * q^4 - 3 * q^6 + 4 * q^7 - 2 * q^8 - q^9	\( 8 q - 2 q^{2} - 3 q^{3} - 2 q^{4} - 3 q^{6} + 4 q^{7} - 2 q^{8} - q^{9} + q^{11} + 2 q^{12} - 13 q^{13} - q^{14} - 10 q^{15} - 2 q^{16} - 11 q^{17} + 14 q^{18} + 20 q^{19} + 5 q^{20} - 19 q^{21} + q^{22} - 3 q^{23} + 2 q^{24} + 30 q^{25} + 22 q^{26} + 15 q^{27} - q^{28} - 15 q^{29} - 10 q^{30} - 9 q^{31} + 8 q^{32} + 19 q^{33} - q^{34} - 15 q^{35} - q^{36} - 6 q^{37} - 15 q^{38} - 12 q^{39} - 5 q^{40} - 9 q^{41} - 19 q^{42} + 12 q^{43} + q^{44} + 15 q^{45} + 7 q^{46} - q^{47} + 2 q^{48} - 4 q^{49} - 5 q^{50} + 26 q^{51} - 13 q^{52} + 7 q^{53} - 25 q^{54} - 25 q^{55} - q^{56} - 15 q^{58} + 10 q^{59} - 10 q^{60} + 6 q^{61} + 21 q^{62} - 8 q^{63} - 2 q^{64} - 10 q^{65} - 26 q^{66} - 11 q^{67} + 24 q^{68} + 43 q^{69} + 25 q^{70} - 9 q^{71} - 6 q^{72} - 8 q^{73} + 24 q^{74} + 30 q^{75} - 10 q^{76} + 33 q^{77} + 23 q^{78} - 10 q^{79} - 17 q^{81} + 26 q^{82} + 27 q^{83} + 26 q^{84} + 5 q^{85} - 23 q^{86} + q^{88} - 15 q^{89} + 20 q^{90} + q^{91} + 7 q^{92} - 46 q^{93} - q^{94} - 30 q^{95} - 3 q^{96} - 36 q^{97} - 19 q^{98} - 42 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 - 3 * q^3 - 2 * q^4 - 3 * q^6 + 4 * q^7 - 2 * q^8 - q^9 + q^11 + 2 * q^12 - 13 * q^13 - q^14 - 10 * q^15 - 2 * q^16 - 11 * q^17 + 14 * q^18 + 20 * q^19 + 5 * q^20 - 19 * q^21 + q^22 - 3 * q^23 + 2 * q^24 + 30 * q^25 + 22 * q^26 + 15 * q^27 - q^28 - 15 * q^29 - 10 * q^30 - 9 * q^31 + 8 * q^32 + 19 * q^33 - q^34 - 15 * q^35 - q^36 - 6 * q^37 - 15 * q^38 - 12 * q^39 - 5 * q^40 - 9 * q^41 - 19 * q^42 + 12 * q^43 + q^44 + 15 * q^45 + 7 * q^46 - q^47 + 2 * q^48 - 4 * q^49 - 5 * q^50 + 26 * q^51 - 13 * q^52 + 7 * q^53 - 25 * q^54 - 25 * q^55 - q^56 - 15 * q^58 + 10 * q^59 - 10 * q^60 + 6 * q^61 + 21 * q^62 - 8 * q^63 - 2 * q^64 - 10 * q^65 - 26 * q^66 - 11 * q^67 + 24 * q^68 + 43 * q^69 + 25 * q^70 - 9 * q^71 - 6 * q^72 - 8 * q^73 + 24 * q^74 + 30 * q^75 - 10 * q^76 + 33 * q^77 + 23 * q^78 - 10 * q^79 - 17 * q^81 + 26 * q^82 + 27 * q^83 + 26 * q^84 + 5 * q^85 - 23 * q^86 + q^88 - 15 * q^89 + 20 * q^90 + q^91 + 7 * q^92 - 46 * q^93 - q^94 - 30 * q^95 - 3 * q^96 - 36 * q^97 - 19 * q^98 - 42 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/50\mathbb{Z}\right)^\times$.

$n$	$27$
$\chi(n)$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$3$	−2.39991	−	1.74363i	−1.38559	−	1.00669i	−0.996333	−	0.0855571i	$-0.972733\pi$
$3$	−2.39991	−	1.74363i	−1.38559	−	1.00669i	−0.389254	−	0.921131i	$-0.627267\pi$
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	2.15743	+	0.587785i	0.964832	+	0.262866i
$5$	2.15743	+	0.587785i	0.964832	+	0.262866i
$6$	−2.39991	+	1.74363i	−0.979758	+	0.711836i
$7$	1.83337			0.692947			0.346474	−	0.938060i	$-0.387379\pi$
$7$	1.83337			0.692947			0.346474	+	0.938060i	$0.387379\pi$
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	1.79224	+	5.51595i	0.597414	+	1.83865i
$10$	1.22570	−	1.87020i	0.387600	−	0.591410i
$11$	−0.566541	+	1.74363i	−0.170819	+	0.525726i	−0.999418	−	0.0341166i	$-0.989138\pi$
$11$	−0.566541	+	1.74363i	−0.170819	+	0.525726i	0.828599	+	0.559842i	$0.189138\pi$
$12$	0.916683	+	2.82126i	0.264624	+	0.814428i
$13$	−0.747156	−	2.29951i	−0.207224	−	0.637769i	−0.999615	−	0.0277557i	$-0.991164\pi$
$13$	−0.747156	−	2.29951i	−0.207224	−	0.637769i	0.792391	−	0.610014i	$-0.208836\pi$
$14$	0.566541	−	1.74363i	0.151414	−	0.466006i
$15$	−4.15275	−	5.17240i	−1.07224	−	1.33551i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−2.25284	+	1.63679i	−0.546395	+	0.396979i	−0.826455	−	0.563003i	$-0.809646\pi$
$17$	−2.25284	+	1.63679i	−0.546395	+	0.396979i	0.280060	+	0.959983i	$0.409646\pi$
$18$	5.79981			1.36703
$19$	1.35294	−	0.982966i	0.310385	−	0.225508i	−0.421677	−	0.906746i	$-0.638558\pi$
$19$	1.35294	−	0.982966i	0.310385	−	0.225508i	0.732062	+	0.681238i	$0.238558\pi$
$20$	−1.39991	−	1.74363i	−0.313029	−	0.389889i
$21$	−4.39991	−	3.19672i	−0.960138	−	0.697581i
$22$	1.48322	+	1.07763i	0.316224	+	0.229750i
$23$	−2.39991	+	7.38615i	−0.500415	+	1.54012i	0.307929	+	0.951409i	$0.400364\pi$
$23$	−2.39991	+	7.38615i	−0.500415	+	1.54012i	−0.808344	+	0.588710i	$0.799636\pi$
$24$	2.96645			0.605524
$25$	4.30902	+	2.53621i	0.861803	+	0.507242i
$26$	−2.41785			−0.474179
$27$	2.56654	−	7.89900i	0.493931	−	1.52016i
$28$	−1.48322	−	1.07763i	−0.280303	−	0.203652i
$29$	−6.13597	−	4.45805i	−1.13942	−	0.827838i	−0.152383	−	0.988321i	$-0.548695\pi$
$29$	−6.13597	−	4.45805i	−1.13942	−	0.827838i	−0.987039	+	0.160483i	$0.948695\pi$
$30$	−6.20252	+	2.35114i	−1.13242	+	0.429258i
$31$	4.28304	−	3.11181i	0.769256	−	0.558897i	−0.132479	−	0.991186i	$-0.542294\pi$
$31$	4.28304	−	3.11181i	0.769256	−	0.558897i	0.901735	+	0.432288i	$0.142294\pi$
$32$	1.00000			0.176777
$33$	4.39991	−	3.19672i	0.765925	−	0.556477i
$34$	0.860510	+	2.64838i	0.147576	+	0.454193i
$35$	3.95536	+	1.07763i	0.668578	+	0.182152i
$36$	1.79224	−	5.51595i	0.298707	−	0.919325i
$37$	−0.406315	−	1.25051i	−0.0667977	−	0.205582i	0.912086	−	0.409998i	$-0.134471\pi$
$37$	−0.406315	−	1.25051i	−0.0667977	−	0.205582i	−0.978884	+	0.204416i	$0.934471\pi$
$38$	−0.516776	−	1.59047i	−0.0838321	−	0.258009i
$39$	−2.21640	+	6.82138i	−0.354908	+	1.09229i
$40$	−2.09089	+	0.792578i	−0.330599	+	0.125318i
$41$	1.08621	+	3.34301i	0.169637	+	0.522090i	0.999348	−	0.0361034i	$-0.0114946\pi$
$41$	1.08621	+	3.34301i	0.169637	+	0.522090i	−0.829711	+	0.558194i	$0.811495\pi$
$42$	−4.39991	+	3.19672i	−0.678920	+	0.493265i
$43$	−4.30550			−0.656583			−0.328291	−	0.944576i	$-0.606473\pi$
$43$	−4.30550			−0.656583			−0.328291	+	0.944576i	$0.606473\pi$
$44$	1.48322	−	1.07763i	0.223604	−	0.162458i
$45$	0.624442	+	12.9537i	0.0930863	+	1.93103i
$46$	6.28304	+	4.56489i	0.926383	+	0.673057i
$47$	−1.48322	−	1.07763i	−0.216350	−	0.157188i	0.474332	−	0.880346i	$-0.342690\pi$
$47$	−1.48322	−	1.07763i	−0.216350	−	0.157188i	−0.690682	+	0.723158i	$0.742690\pi$
$48$	0.916683	−	2.82126i	0.132312	−	0.407214i
$49$	−3.63877			−0.519824
$50$	3.74364	−	3.31439i	0.529431	−	0.468725i
$51$	8.26057			1.15671
$52$	−0.747156	+	2.29951i	−0.103612	+	0.318885i
$53$	5.27267	+	3.83082i	0.724257	+	0.526203i	0.887741	−	0.460342i	$-0.152273\pi$
$53$	5.27267	+	3.83082i	0.724257	+	0.526203i	−0.163485	+	0.986546i	$0.552273\pi$
$54$	−6.71929	−	4.88185i	−0.914380	−	0.664336i
$55$	−2.24716	+	3.42877i	−0.303006	+	0.462335i
$56$	−1.48322	+	1.07763i	−0.198204	+	0.144004i
$57$	−4.96086			−0.657082
$58$	−6.13597	+	4.45805i	−0.805693	+	0.585370i
$59$	−2.79981	−	8.61694i	−0.364505	−	1.12183i	−0.950291	−	0.311364i	$-0.899214\pi$
$59$	−2.79981	−	8.61694i	−0.364505	−	1.12183i	0.585786	−	0.810466i	$-0.300786\pi$
$60$	0.319385	+	6.62549i	0.0412324	+	0.855347i
$61$	0.799717	−	2.46127i	0.102393	−	0.315134i	−0.886717	−	0.462313i	$-0.847019\pi$
$61$	0.799717	−	2.46127i	0.102393	−	0.315134i	0.989110	+	0.147180i	$0.0470195\pi$
$62$	−1.63597	−	5.03501i	−0.207769	−	0.639447i
$63$	3.28583	+	10.1128i	0.413976	+	1.27409i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−0.260320	−	5.40020i	−0.0322887	−	0.669812i
$66$	−1.68061	−	5.17240i	−0.206869	−	0.636679i
$67$	−7.68574	+	5.58402i	−0.938963	+	0.682196i	−0.948171	−	0.317761i	$-0.897069\pi$
$67$	−7.68574	+	5.58402i	−0.938963	+	0.682196i	0.00920814	+	0.999958i	$0.497069\pi$
$68$	2.78467			0.337691
$69$	18.6383	−	13.5415i	2.24379	−	1.63021i
$70$	2.24716	−	3.42877i	0.268587	−	0.409816i
$71$	−0.247156	−	0.179569i	−0.0293320	−	0.0213110i	0.573023	−	0.819540i	$-0.305771\pi$
$71$	−0.247156	−	0.179569i	−0.0293320	−	0.0213110i	−0.602355	+	0.798229i	$0.705771\pi$
$72$	−4.69215	−	3.40904i	−0.552975	−	0.401760i
$73$	4.61920	−	14.2164i	0.540636	−	1.66391i	−0.190509	−	0.981685i	$-0.561014\pi$
$73$	4.61920	−	14.2164i	0.540636	−	1.66391i	0.731145	−	0.682222i	$-0.238986\pi$
$74$	−1.31486			−0.152850
$75$	−5.91901	−	13.6000i	−0.683469	−	1.57040i
$76$	−1.67232			−0.191829
$77$	−1.03868	+	3.19672i	−0.118368	+	0.364300i
$78$	5.80261	+	4.21584i	0.657016	+	0.477350i
$79$	2.79981	+	2.03418i	0.315004	+	0.228864i	0.734041	−	0.679106i	$-0.237632\pi$
$79$	2.79981	+	2.03418i	0.315004	+	0.228864i	−0.419037	+	0.907969i	$0.637632\pi$
$80$	0.107666	+	2.23347i	0.0120374	+	0.249710i
$81$	−5.85599	+	4.25462i	−0.650665	+	0.472736i
$82$	3.51505			0.388172
$83$	5.15555	−	3.74572i	0.565895	−	0.411147i	−0.267717	−	0.963498i	$-0.586269\pi$
$83$	5.15555	−	3.74572i	0.565895	−	0.411147i	0.833612	+	0.552351i	$0.186269\pi$
$84$	1.68061	+	5.17240i	0.183370	+	0.564355i
$85$	−5.82243	+	2.20707i	−0.631532	+	0.239390i
$86$	−1.33047	+	4.09478i	−0.143469	+	0.441551i
$87$	6.95256	+	21.3978i	0.745393	+	2.29408i
$88$	−0.566541	−	1.74363i	−0.0603935	−	0.185872i
$89$	−1.02608	+	3.15794i	−0.108764	+	0.334741i	−0.990595	−	0.136824i	$-0.956311\pi$
$89$	−1.02608	+	3.15794i	−0.108764	+	0.334741i	0.881832	+	0.471565i	$0.156311\pi$
$90$	12.5127	+	3.40904i	1.31895	+	0.359345i
$91$	−1.36981	−	4.21584i	−0.143595	−	0.441940i
$92$	6.28304	−	4.56489i	0.655052	−	0.475923i
$93$	−15.7047			−1.62851
$94$	−1.48322	+	1.07763i	−0.152983	+	0.111149i
$95$	3.49664	−	1.32545i	0.358748	−	0.135988i
$96$	−2.39991	−	1.74363i	−0.244939	−	0.177959i
$97$	−8.97214	−	6.51864i	−0.910982	−	0.661867i	0.0302807	−	0.999541i	$-0.490360\pi$
$97$	−8.97214	−	6.51864i	−0.910982	−	0.661867i	−0.941263	+	0.337674i	$0.890360\pi$
$98$	−1.12444	+	3.46068i	−0.113586	+	0.349581i
$99$	−10.6332			−1.06867
$100$	−1.99532	−	4.58462i	−0.199532	−	0.458462i
$101$	−13.1807			−1.31152			−0.655762	−	0.754968i	$-0.727653\pi$
$101$	−13.1807			−1.31152			−0.655762	+	0.754968i	$0.727653\pi$
$102$	2.55266	−	7.85627i	0.252751	−	0.777887i
$103$	2.13029	+	1.54774i	0.209903	+	0.152504i	0.687770	−	0.725929i	$-0.258590\pi$
$103$	2.13029	+	1.54774i	0.209903	+	0.152504i	−0.477867	+	0.878432i	$0.658590\pi$
$104$	1.95608	+	1.42118i	0.191809	+	0.139358i
$105$	−7.61351	−	9.48290i	−0.743003	−	0.925436i
$106$	5.27267	−	3.83082i	0.512127	−	0.372082i
$107$	18.8045			1.81790			0.908949	−	0.416908i	$-0.136886\pi$
$107$	18.8045			1.81790			0.908949	+	0.416908i	$0.136886\pi$
$108$	−6.71929	+	4.88185i	−0.646564	+	0.469756i
$109$	3.18574	+	9.80470i	0.305139	+	0.939120i	0.979625	+	0.200833i	$0.0643649\pi$
$109$	3.18574	+	9.80470i	0.305139	+	0.939120i	−0.674487	+	0.738287i	$0.735635\pi$
$110$	2.56654	+	3.19672i	0.244710	+	0.304795i
$111$	−1.20531	+	3.70957i	−0.114403	+	0.352097i
$112$	0.566541	+	1.74363i	0.0535331	+	0.164758i
$113$	1.87160	+	5.76019i	0.176065	+	0.541873i	0.999681	−	0.0252760i	$-0.00804646\pi$
$113$	1.87160	+	5.76019i	0.176065	+	0.541873i	−0.823615	+	0.567149i	$0.808046\pi$
$114$	−1.53299	+	4.71806i	−0.143578	+	0.441886i
$115$	−9.51911	+	14.5245i	−0.887661	+	1.35442i
$116$	2.34373	+	7.21327i	0.217610	+	0.669735i
$117$	11.3449	−	8.24255i	1.04884	−	0.762024i
$118$	−9.06039			−0.834076
$119$	−4.13029	+	3.00083i	−0.378623	+	0.275086i
$120$	6.39991	+	1.74363i	0.584229	+	0.159171i
$121$	6.17989	+	4.48996i	0.561809	+	0.408178i
$122$	−2.09369	−	1.52115i	−0.189553	−	0.137719i
$123$	3.22218	−	9.91686i	0.290535	−	0.894174i
$124$	−5.29413			−0.475427
$125$	7.80566	+	8.00448i	0.698159	+	0.715942i
$126$	10.6332			0.947279
$127$	0.102986	−	0.316957i	0.00913850	−	0.0281254i	−0.946383	−	0.323046i	$-0.895293\pi$
$127$	0.102986	−	0.316957i	0.00913850	−	0.0281254i	0.955522	+	0.294921i	$0.0952932\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	10.3328	+	7.50722i	0.909753	+	0.660974i
$130$	−5.21634	−	1.42118i	−0.457503	−	0.124645i
$131$	4.18910	−	3.04356i	0.366003	−	0.265917i	−0.389548	−	0.921006i	$-0.627369\pi$
$131$	4.18910	−	3.04356i	0.366003	−	0.265917i	0.755552	+	0.655089i	$0.227369\pi$
$132$	−5.43858			−0.473368
$133$	2.48043	−	1.80214i	0.215080	−	0.156265i
$134$	2.93569	+	9.03513i	0.253605	+	0.780516i
$135$	10.1801	−	15.5330i	0.876159	−	1.33687i
$136$	0.860510	−	2.64838i	0.0737881	−	0.227096i
$137$	−6.03299	−	18.5676i	−0.515433	−	1.58634i	−0.782493	−	0.622660i	$-0.786052\pi$
$137$	−6.03299	−	18.5676i	−0.515433	−	1.58634i	0.267060	−	0.963680i	$-0.413948\pi$
$138$	−7.11920	−	21.9106i	−0.606026	−	1.86516i
$139$	−2.45825	+	7.56572i	−0.208506	+	0.641716i	0.791045	+	0.611758i	$0.209537\pi$
$139$	−2.45825	+	7.56572i	−0.208506	+	0.641716i	−0.999551	+	0.0299582i	$0.990463\pi$
$140$	−2.56654	−	3.19672i	−0.216912	−	0.270172i
$141$	1.68061	+	5.17240i	0.141533	+	0.435595i
$142$	−0.247156	+	0.179569i	−0.0207409	+	0.0150691i
$143$	4.43280			0.370689
$144$	−4.69215	+	3.40904i	−0.391012	+	0.284087i
$145$	−10.6176	−	13.2246i	−0.881741	−	1.09824i
$146$	−12.0932	−	8.78624i	−1.00084	−	0.727154i
$147$	8.73271	+	6.34468i	0.720262	+	0.523301i
$148$	−0.406315	+	1.25051i	−0.0333989	+	0.102791i
$149$	−1.67955			−0.137594			−0.0687969	−	0.997631i	$-0.521916\pi$
$149$	−1.67955			−0.137594			−0.0687969	+	0.997631i	$0.521916\pi$
$150$	−14.7635	+	1.42668i	−1.20543	+	0.116488i
$151$	−21.2664			−1.73063			−0.865316	−	0.501227i	$-0.832882\pi$
$151$	−21.2664			−1.73063			−0.865316	+	0.501227i	$0.832882\pi$
$152$	−0.516776	+	1.59047i	−0.0419161	+	0.129004i
$153$	−13.0661	−	9.49306i	−1.05633	−	0.767468i
$154$	2.71929	+	1.97568i	0.219127	+	0.159205i
$155$	11.0694	−	4.19601i	0.889118	−	0.337031i
$156$	5.80261	−	4.21584i	0.464581	−	0.337538i
$157$	10.4514			0.834113			0.417056	−	0.908881i	$-0.363062\pi$
$157$	10.4514			0.834113			0.417056	+	0.908881i	$0.363062\pi$
$158$	2.79981	−	2.03418i	0.222741	−	0.161831i
$159$	−5.97437	−	18.3872i	−0.473798	−	1.45820i
$160$	2.15743	+	0.587785i	0.170560	+	0.0464685i
$161$	−4.39991	+	13.5415i	−0.346761	+	1.06722i
$162$	2.23679	+	6.88413i	0.175739	+	0.540868i
$163$	3.21706	+	9.90109i	0.251980	+	0.775513i	0.994410	+	0.105590i	$0.0336731\pi$
$163$	3.21706	+	9.90109i	0.251980	+	0.775513i	−0.742430	+	0.669923i	$0.766327\pi$
$164$	1.08621	−	3.34301i	0.0848187	−	0.261045i
$165$	11.3715	−	4.31050i	0.885269	−	0.335572i
$166$	−1.96924	−	6.06071i	−0.152843	−	0.470402i
$167$	−1.71650	+	1.24711i	−0.132826	+	0.0965041i	−0.652215	−	0.758034i	$-0.726160\pi$
$167$	−1.71650	+	1.24711i	−0.132826	+	0.0965041i	0.519388	+	0.854538i	$0.326160\pi$
$168$	5.43858			0.419596
$169$	5.78772	−	4.20502i	0.445209	−	0.323463i
$170$	0.299814	+	6.21949i	0.0229947	+	0.477013i
$171$	7.84678	+	5.70102i	0.600059	+	0.435968i
$172$	3.48322	+	2.53071i	0.265593	+	0.192965i
$173$	−5.59774	+	17.2281i	−0.425588	+	1.30983i	0.476841	+	0.878989i	$0.341782\pi$
$173$	−5.59774	+	17.2281i	−0.425588	+	1.30983i	−0.902430	+	0.430837i	$0.858218\pi$
$174$	22.4990			1.70564
$175$	7.90000	+	4.64980i	0.597184	+	0.351492i
$176$	−1.83337			−0.138195
$177$	−8.30550	+	25.5617i	−0.624280	+	1.92134i
$178$	2.68630	+	1.95171i	0.201347	+	0.146287i
$179$	−8.54361	−	6.20730i	−0.638579	−	0.463955i	0.220782	−	0.975323i	$-0.429139\pi$
$179$	−8.54361	−	6.20730i	−0.638579	−	0.463955i	−0.859362	+	0.511368i	$0.829139\pi$
$180$	7.10883	−	10.8468i	0.529861	−	0.808475i
$181$	−14.6886	+	10.6719i	−1.09180	+	0.793237i	−0.979702	−	0.200460i	$-0.935756\pi$
$181$	−14.6886	+	10.6719i	−1.09180	+	0.793237i	−0.112096	+	0.993697i	$0.535756\pi$
$182$	−4.43280			−0.328581
$183$	−6.21081	+	4.51242i	−0.459116	+	0.333567i
$184$	−2.39991	−	7.38615i	−0.176923	−	0.544514i
$185$	−0.141566	−	2.93671i	−0.0104081	−	0.215911i
$186$	−4.85303	+	14.9361i	−0.355842	+	1.09517i
$187$	−1.57763	−	4.85544i	−0.115368	−	0.355065i
$188$	0.566541	+	1.74363i	0.0413193	+	0.127168i
$189$	4.70541	−	14.4818i	0.342268	−	1.05339i
$190$	−0.180052	−	3.73509i	−0.0130623	−	0.270972i
$191$	−6.76906	−	20.8330i	−0.489792	−	1.50742i	−0.824919	−	0.565251i	$-0.808779\pi$
$191$	−6.76906	−	20.8330i	−0.489792	−	1.50742i	0.335127	−	0.942173i	$-0.391221\pi$
$192$	−2.39991	+	1.74363i	−0.173198	+	0.125836i
$193$	27.4248			1.97408			0.987041	−	0.160465i	$-0.0512995\pi$
$193$	27.4248			1.97408			0.987041	+	0.160465i	$0.0512995\pi$
$194$	−8.97214	+	6.51864i	−0.644162	+	0.468011i
$195$	−8.79123	+	13.4139i	−0.629553	+	0.960588i
$196$	2.94383	+	2.13882i	0.210273	+	0.152773i
$197$	0.909110	+	0.660507i	0.0647714	+	0.0470592i	0.619700	−	0.784839i	$-0.287254\pi$
$197$	0.909110	+	0.660507i	0.0647714	+	0.0470592i	−0.554928	+	0.831898i	$0.687254\pi$
$198$	−3.28583	+	10.1128i	−0.233514	+	0.718682i
$199$	25.4992			1.80759			0.903794	−	0.427968i	$-0.140770\pi$
$199$	25.4992			1.80759			0.903794	+	0.427968i	$0.140770\pi$
$200$	−4.97682	+	0.480938i	−0.351914	+	0.0340074i
$201$	28.1815			1.98777
$202$	−4.07305	+	12.5355i	−0.286579	+	0.881998i
$203$	−11.2495	−	8.17323i	−0.789559	−	0.573648i
$204$	−6.68294	−	4.85544i	−0.467900	−	0.339949i
$205$	0.378451	+	7.85077i	0.0264321	+	0.548322i
$206$	2.13029	−	1.54774i	0.148424	−	0.107836i
$207$	−45.0429			−3.13070
$208$	1.95608	−	1.42118i	0.135630	−	0.0985408i
$209$	0.947439	+	2.91592i	0.0655358	+	0.201698i
$210$	−11.3715	+	4.31050i	−0.784707	+	0.297453i
$211$	6.58341	−	20.2617i	0.453221	−	1.39487i	−0.419990	−	0.907529i	$-0.637967\pi$
$211$	6.58341	−	20.2617i	0.453221	−	1.39487i	0.873211	−	0.487342i	$-0.162033\pi$
$212$	−2.01398	−	6.19839i	−0.138321	−	0.425708i
$213$	0.280048	+	0.861899i	0.0191886	+	0.0590564i
$214$	5.81090	−	17.8841i	0.397225	−	1.22253i
$215$	−9.28882	−	2.53071i	−0.633492	−	0.172593i
$216$	2.56654	+	7.89900i	0.174631	+	0.537459i
$217$	7.85237	−	5.70508i	0.533054	−	0.387286i
$218$	10.3093			0.698232
$219$	−35.8739	+	26.0639i	−2.42413	+	1.76124i
$220$	3.83337	−	1.45309i	0.258445	−	0.0979670i
$221$	5.44703	+	3.95750i	0.366407	+	0.266210i
$222$	3.15555	+	2.29264i	0.211786	+	0.153872i
$223$	1.00280	−	3.08629i	0.0671522	−	0.206673i	−0.911850	−	0.410524i	$-0.865346\pi$
$223$	1.00280	−	3.08629i	0.0671522	−	0.206673i	0.979002	+	0.203851i	$0.0653458\pi$
$224$	1.83337			0.122497
$225$	−6.26682	+	28.3138i	−0.417788	+	1.88759i
$226$	6.05662			0.402880
$227$	5.06085	−	15.5757i	0.335901	−	1.03380i	−0.630376	−	0.776290i	$-0.717099\pi$
$227$	5.06085	−	15.5757i	0.335901	−	1.03380i	0.966277	−	0.257506i	$-0.0829007\pi$
$228$	4.01342	+	2.91592i	0.265795	+	0.193111i
$229$	4.11788	+	2.99181i	0.272117	+	0.197705i	0.715472	−	0.698642i	$-0.246212\pi$
$229$	4.11788	+	2.99181i	0.272117	+	0.197705i	−0.443355	+	0.896346i	$0.646212\pi$
$230$	10.8720	+	13.5415i	0.716881	+	0.892901i
$231$	8.06664	−	5.86076i	0.530746	−	0.385609i
$232$	7.58448			0.497946
$233$	1.34536	−	0.977464i	0.0881378	−	0.0640358i	−0.542844	−	0.839834i	$-0.682652\pi$
$233$	1.34536	−	0.977464i	0.0881378	−	0.0640358i	0.630981	+	0.775798i	$0.282652\pi$
$234$	−4.33337	−	13.3367i	−0.283281	−	0.871849i
$235$	−2.56654	−	3.19672i	−0.167423	−	0.208531i
$236$	−2.79981	+	8.61694i	−0.182252	+	0.560915i
$237$	−3.17242	−	9.76370i	−0.206071	−	0.634221i
$238$	1.57763	+	4.85544i	0.102263	+	0.314732i
$239$	3.95536	−	12.1733i	0.255851	−	0.787428i	−0.737810	−	0.675009i	$-0.764140\pi$
$239$	3.95536	−	12.1733i	0.255851	−	0.787428i	0.993661	−	0.112420i	$-0.0358601\pi$
$240$	3.63597	−	5.54786i	0.234701	−	0.358113i
$241$	0.122209	+	0.376121i	0.00787219	+	0.0242281i	0.954915	−	0.296878i	$-0.0959454\pi$
$241$	0.122209	+	0.376121i	0.00787219	+	0.0242281i	−0.947043	+	0.321106i	$0.895945\pi$
$242$	6.17989	−	4.48996i	0.397259	−	0.288625i
$243$	−3.44417			−0.220944
$244$	−2.09369	+	1.52115i	−0.134034	+	0.0973817i
$245$	−7.85040	−	2.13882i	−0.501543	−	0.136644i
$246$	−8.43579	−	6.12896i	−0.537846	−	0.390768i
$247$	−3.27120	−	2.37666i	−0.208141	−	0.151223i
$248$	−1.63597	+	5.03501i	−0.103885	+	0.319724i
$249$	−18.9040			−1.19799
$250$	10.0248	−	4.95010i	0.634024	−	0.313072i
$251$	9.36589			0.591170			0.295585	−	0.955316i	$-0.404485\pi$
$251$	9.36589			0.591170			0.295585	+	0.955316i	$0.404485\pi$
$252$	3.28583	−	10.1128i	0.206988	−	0.637044i
$253$	−11.5191	−	8.36912i	−0.724200	−	0.526162i
$254$	−0.269620	−	0.195890i	−0.0169175	−	0.0122913i
$255$	17.8216	+	4.85544i	1.11603	+	0.304060i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−4.97926			−0.310598			−0.155299	−	0.987868i	$-0.549634\pi$
$257$	−4.97926			−0.310598			−0.155299	+	0.987868i	$0.549634\pi$
$258$	10.3328	−	7.50722i	0.643292	−	0.467379i
$259$	−0.744923	−	2.29264i	−0.0462873	−	0.142458i
$260$	−2.96356	+	4.52187i	−0.183792	+	0.280434i
$261$	13.5932	−	41.8356i	0.841399	−	2.58956i
$262$	−1.60009	−	4.92458i	−0.0988541	−	0.304242i
$263$	−6.12199	−	18.8416i	−0.377498	−	1.16182i	−0.941778	−	0.336236i	$-0.890846\pi$
$263$	−6.12199	−	18.8416i	−0.377498	−	1.16182i	0.564279	−	0.825584i	$-0.309154\pi$
$264$	−1.68061	+	5.17240i	−0.103435	+	0.318339i
$265$	9.12372	+	11.3639i	0.560466	+	0.698080i
$266$	−0.947439	−	2.91592i	−0.0580912	−	0.178786i
$267$	7.96878	−	5.78966i	0.487681	−	0.354321i
$268$	9.50010			0.580311
$269$	−11.9685	+	8.69564i	−0.729734	+	0.530183i	−0.889479	−	0.456976i	$-0.848933\pi$
$269$	−11.9685	+	8.69564i	−0.729734	+	0.530183i	0.159745	+	0.987158i	$0.448933\pi$
$270$	−11.6269	−	14.4818i	−0.707592	−	0.881332i
$271$	10.1583	+	7.38047i	0.617075	+	0.448331i	0.851899	−	0.523707i	$-0.175451\pi$
$271$	10.1583	+	7.38047i	0.617075	+	0.448331i	−0.234823	+	0.972038i	$0.575451\pi$
$272$	−2.25284	−	1.63679i	−0.136599	−	0.0992448i
$273$	−4.06347	+	12.5061i	−0.245932	+	0.756902i
$274$	−19.5232			−1.17944
$275$	−6.86346	+	6.07648i	−0.413882	+	0.366426i
$276$	−23.0382			−1.38674
$277$	−1.95664	+	6.02193i	−0.117563	+	0.361823i	−0.992473	−	0.122463i	$-0.960921\pi$
$277$	−1.95664	+	6.02193i	−0.117563	+	0.361823i	0.874910	+	0.484286i	$0.160921\pi$
$278$	6.43579	+	4.67587i	0.385993	+	0.280440i
$279$	24.8408	+	18.0479i	1.48718	+	1.08050i
$280$	−3.83337	+	1.45309i	−0.229087	+	0.0868384i
$281$	16.2525	−	11.8082i	0.969545	−	0.704416i	0.0141971	−	0.999899i	$-0.495481\pi$
$281$	16.2525	−	11.8082i	0.969545	−	0.704416i	0.955348	+	0.295484i	$0.0954808\pi$
$282$	5.43858			0.323863
$283$	−1.46981	+	1.06788i	−0.0873709	+	0.0634787i	−0.630613	−	0.776097i	$-0.717197\pi$
$283$	−1.46981	+	1.06788i	−0.0873709	+	0.0634787i	0.543242	+	0.839576i	$0.317197\pi$
$284$	0.0944052	+	0.290549i	0.00560192	+	0.0172409i
$285$	−10.7027	−	2.91592i	−0.633974	−	0.172724i
$286$	1.36981	−	4.21584i	0.0809986	−	0.249288i
$287$	1.99142	+	6.12896i	0.117550	+	0.361781i
$288$	1.79224	+	5.51595i	0.105609	+	0.325031i
$289$	−2.85705	+	8.79311i	−0.168062	+	0.517242i
$290$	−15.8583	+	6.01129i	−0.931232	+	0.352995i
$291$	10.1662	+	31.2882i	0.595951	+	1.83415i
$292$	−12.0932	+	8.78624i	−0.707702	+	0.514176i
$293$	−6.85931			−0.400725			−0.200363	−	0.979722i	$-0.564212\pi$
$293$	−6.85931			−0.400725			−0.200363	+	0.979722i	$0.564212\pi$
$294$	8.73271	−	6.34468i	0.509302	−	0.370030i
$295$	−0.975494	−	20.2361i	−0.0567955	−	1.17819i
$296$	1.06375	+	0.772856i	0.0618290	+	0.0449214i
$297$	12.3189	+	8.95022i	0.714816	+	0.519344i
$298$	−0.519009	+	1.59734i	−0.0300654	+	0.0925317i
$299$	18.7776			1.08594
$300$	−3.20531	+	14.4818i	−0.185059	+	0.836105i
$301$	−7.89356			−0.454977
$302$	−6.57167	+	20.2255i	−0.378157	+	1.16385i
$303$	31.6323	+	22.9822i	1.81723	+	1.32030i
$304$	1.35294	+	0.982966i	0.0775963	+	0.0563770i
$305$	3.17203	−	4.83997i	0.181630	−	0.277136i
$306$	−13.0661	+	9.49306i	−0.746938	+	0.542682i
$307$	−2.89526			−0.165241			−0.0826206	−	0.996581i	$-0.526329\pi$
$307$	−2.89526			−0.165241			−0.0826206	+	0.996581i	$0.526329\pi$
$308$	2.71929	−	1.97568i	0.154946	−	0.112575i
$309$	−2.41379	−	7.42888i	−0.137316	−	0.422614i
$310$	−0.569997	−	11.8243i	−0.0323736	−	0.671575i
$311$	−6.38090	+	19.6384i	−0.361828	+	1.11359i	0.590116	+	0.807318i	$0.299082\pi$
$311$	−6.38090	+	19.6384i	−0.361828	+	1.11359i	−0.951944	+	0.306272i	$0.900918\pi$
$312$	−2.21640	−	6.82138i	−0.125479	−	0.386184i
$313$	5.07629	+	15.6232i	0.286929	+	0.883076i	0.985814	+	0.167842i	$0.0536798\pi$
$313$	5.07629	+	15.6232i	0.286929	+	0.883076i	−0.698885	+	0.715234i	$0.746320\pi$
$314$	3.22966	−	9.93987i	0.182260	−	0.560939i
$315$	1.14483	+	23.7489i	0.0645039	+	1.33810i
$316$	−1.06943	−	3.29138i	−0.0601603	−	0.185154i
$317$	−13.3535	+	9.70191i	−0.750009	+	0.544914i	−0.895830	−	0.444397i	$-0.853418\pi$
$317$	−13.3535	+	9.70191i	−0.750009	+	0.544914i	0.145820	+	0.989311i	$0.453418\pi$
$318$	−19.3335			−1.08417
$319$	11.2495	−	8.17323i	0.629850	−	0.457613i
$320$	1.22570	−	1.87020i	0.0685187	−	0.104548i
$321$	−45.1290	−	32.7881i	−2.51885	−	1.83005i
$322$	11.5191	+	8.36912i	0.641935	+	0.466393i
$323$	−1.43905	+	4.42894i	−0.0800709	+	0.246433i
$324$	7.23840			0.402133
$325$	2.61254	−	11.8036i	0.144917	−	0.654744i
$326$	10.4106			0.576591
$327$	9.45033	−	29.0851i	0.522605	−	1.60841i
$328$	−2.84373	−	2.06609i	−0.157019	−	0.114081i
$329$	−2.71929	−	1.97568i	−0.149919	−	0.108923i
$330$	−0.585550	−	12.1469i	−0.0322335	−	0.668667i
$331$	−22.2245	+	16.1471i	−1.22157	+	0.887522i	−0.996229	−	0.0867577i	$-0.972349\pi$
$331$	−22.2245	+	16.1471i	−1.22157	+	0.887522i	−0.225340	+	0.974280i	$0.572349\pi$
$332$	−6.37261			−0.349742
$333$	6.16953	−	4.48242i	0.338088	−	0.245635i
$334$	0.655643	+	2.01786i	0.0358752	+	0.110413i
$335$	−19.8637	+	7.52957i	−1.08527	+	0.411384i
$336$	1.68061	−	5.17240i	0.0916851	−	0.282178i
$337$	−0.848317	−	2.61085i	−0.0462108	−	0.142222i	0.925289	−	0.379263i	$-0.123822\pi$
$337$	−0.848317	−	2.61085i	−0.0462108	−	0.142222i	−0.971500	+	0.237041i	$0.923822\pi$
$338$	−2.21071	−	6.80387i	−0.120247	−	0.370082i
$339$	5.55200	−	17.0873i	0.301543	−	0.928054i
$340$	6.00773	+	1.63679i	0.325815	+	0.0887672i
$341$	2.99934	+	9.23102i	0.162423	+	0.499888i
$342$	7.84678	−	5.70102i	0.424305	−	0.308276i
$343$	−19.5048			−1.05316
$344$	3.48322	−	2.53071i	0.187803	−	0.136447i
$345$	48.1704	−	18.2596i	2.59341	−	0.983063i
$346$	14.6551	+	10.6475i	0.787862	+	0.572415i
$347$	17.2637	+	12.5428i	0.926762	+	0.673332i	0.945198	−	0.326498i	$-0.105869\pi$
$347$	17.2637	+	12.5428i	0.926762	+	0.673332i	−0.0184361	+	0.999830i	$0.505869\pi$
$348$	6.95256	−	21.3978i	0.372697	−	1.14704i
$349$	−16.7650			−0.897411			−0.448705	−	0.893680i	$-0.648115\pi$
$349$	−16.7650			−0.897411			−0.448705	+	0.893680i	$0.648115\pi$
$350$	6.86346	−	6.07648i	0.366867	−	0.324802i
$351$	−20.0814			−1.07187
$352$	−0.566541	+	1.74363i	−0.0301967	+	0.0929360i
$353$	−2.41785	−	1.75667i	−0.128689	−	0.0934981i	0.521579	−	0.853203i	$-0.325343\pi$
$353$	−2.41785	−	1.75667i	−0.128689	−	0.0934981i	−0.650268	+	0.759705i	$0.725343\pi$
$354$	21.7441	+	15.7980i	1.15569	+	0.839654i
$355$	−0.427674	−	0.532683i	−0.0226986	−	0.0282719i
$356$	2.68630	−	1.95171i	0.142374	−	0.103441i
$357$	15.1447			0.801540
$358$	−8.54361	+	6.20730i	−0.451544	+	0.328066i
$359$	2.07194	+	6.37678i	0.109353	+	0.336554i	0.990727	−	0.135865i	$-0.0433812\pi$
$359$	2.07194	+	6.37678i	0.109353	+	0.336554i	−0.881375	+	0.472418i	$0.843381\pi$
$360$	−8.11920	−	10.1128i	−0.427919	−	0.532989i
$361$	−5.00711	+	15.4103i	−0.263532	+	0.811068i
$362$	5.61056	+	17.2675i	0.294884	+	0.907561i
$363$	−7.00233	−	21.5510i	−0.367527	−	1.13113i
$364$	−1.36981	+	4.21584i	−0.0717976	+	0.220970i
$365$	18.3218	−	27.9559i	0.959007	−	1.46328i
$366$	2.37232	+	7.30124i	0.124003	+	0.381642i
$367$	−3.24949	+	2.36089i	−0.169622	+	0.123237i	−0.669357	−	0.742941i	$-0.733430\pi$
$367$	−3.24949	+	2.36089i	−0.169622	+	0.123237i	0.499736	+	0.866178i	$0.333430\pi$
$368$	−7.76626			−0.404844
$369$	−16.4931	+	11.9830i	−0.858598	+	0.623808i
$370$	−2.83672	−	0.772856i	−0.147474	−	0.0401789i
$371$	9.66673	+	7.02329i	0.501872	+	0.364631i
$372$	12.7054	+	9.23102i	0.658745	+	0.478606i
$373$	8.21467	−	25.2822i	0.425340	−	1.30906i	−0.477329	−	0.878725i	$-0.658395\pi$
$373$	8.21467	−	25.2822i	0.425340	−	1.30906i	0.902669	−	0.430336i	$-0.141605\pi$
$374$	−5.10532			−0.263990
$375$	−4.77597	−	32.8202i	−0.246630	−	1.69483i
$376$	1.83337			0.0945486
$377$	−5.66679	+	17.4406i	−0.291855	+	0.898236i
$378$	−12.3189	−	8.95022i	−0.633617	−	0.460350i
$379$	12.6431	+	9.18578i	0.649435	+	0.471842i	0.863079	−	0.505070i	$-0.168533\pi$
$379$	12.6431	+	9.18578i	0.649435	+	0.471842i	−0.213644	+	0.976912i	$0.568533\pi$
$380$	−3.60792	−	0.982966i	−0.185082	−	0.0504251i
$381$	−0.799814	+	0.581099i	−0.0409757	+	0.0297706i
$382$	−21.9051			−1.12076
$383$	−10.8776	+	7.90306i	−0.555821	+	0.403828i	−0.829927	−	0.557872i	$-0.811618\pi$
$383$	−10.8776	+	7.90306i	−0.555821	+	0.403828i	0.274106	+	0.961699i	$0.411618\pi$
$384$	0.916683	+	2.82126i	0.0467793	+	0.143972i
$385$	−4.11986	+	6.28618i	−0.209967	+	0.320374i
$386$	8.47474	−	26.0826i	0.431353	−	1.32757i
$387$	−7.71650	−	23.7489i	−0.392252	−	1.20723i
$388$	3.42705	+	10.5474i	0.173982	+	0.535462i
$389$	−7.75991	+	23.8826i	−0.393443	+	1.21089i	0.536724	+	0.843758i	$0.319662\pi$
$389$	−7.75991	+	23.8826i	−0.393443	+	1.21089i	−0.930167	+	0.367136i	$0.880338\pi$
$390$	10.0407	+	12.5061i	0.508432	+	0.633270i
$391$	−6.68294	−	20.5680i	−0.337971	−	1.04017i
$392$	2.94383	−	2.13882i	0.148686	−	0.108026i
$393$	−15.3603			−0.774825
$394$	0.909110	−	0.660507i	0.0458003	−	0.0332759i
$395$	4.84474	+	6.03430i	0.243765	+	0.303619i
$396$	8.60242	+	6.25003i	0.432288	+	0.314076i
$397$	−2.84628	−	2.06794i	−0.142850	−	0.103787i	0.514065	−	0.857751i	$-0.328139\pi$
$397$	−2.84628	−	2.06794i	−0.142850	−	0.103787i	−0.656915	+	0.753964i	$0.728139\pi$
$398$	7.87968	−	24.2511i	0.394972	−	1.21560i
$399$	−9.09507			−0.455323
$400$	−1.08052	+	4.88185i	−0.0540261	+	0.244093i
$401$	29.8696			1.49161			0.745807	−	0.666162i	$-0.232064\pi$
$401$	29.8696			1.49161			0.745807	+	0.666162i	$0.232064\pi$
$402$	8.70858	−	26.8022i	0.434344	−	1.33677i
$403$	−10.3557	−	7.52388i	−0.515856	−	0.374791i
$404$	10.6634	+	7.74739i	0.530523	+	0.385447i
$405$	−15.1347	+	5.73699i	−0.752049	+	0.285074i
$406$	−11.2495	+	8.17323i	−0.558303	+	0.405631i
$407$	2.41062			0.119490
$408$	−6.68294	+	4.85544i	−0.330855	+	0.240380i
$409$	−11.9784	−	36.8656i	−0.592291	−	1.82289i	−0.567771	−	0.823186i	$-0.692194\pi$
$409$	−11.9784	−	36.8656i	−0.592291	−	1.82289i	−0.0245200	−	0.999699i	$-0.507806\pi$
$410$	7.58347	+	2.06609i	0.374521	+	0.102037i
$411$	−17.8965	+	55.0799i	−0.882772	+	2.71689i
$412$	−0.813697	−	2.50430i	−0.0400880	−	0.123378i
$413$	−5.13308	−	15.7980i	−0.252582	−	0.777369i
$414$	−13.9190	+	42.8383i	−0.684082	+	2.10539i
$415$	13.3244	−	5.05079i	0.654070	−	0.247933i
$416$	−0.747156	−	2.29951i	−0.0366323	−	0.112743i
$417$	19.0914	−	13.8707i	0.934911	−	0.679253i
$418$	3.06598			0.149962
$419$	15.2988	−	11.1152i	0.747395	−	0.543014i	−0.147624	−	0.989044i	$-0.547162\pi$
$419$	15.2988	−	11.1152i	0.747395	−	0.543014i	0.895018	+	0.446030i	$0.147162\pi$
$420$	0.585550	+	12.1469i	0.0285719	+	0.592710i
$421$	17.8414	+	12.9625i	0.869536	+	0.631755i	0.930462	−	0.366388i	$-0.119406\pi$
$421$	17.8414	+	12.9625i	0.869536	+	0.631755i	−0.0609265	+	0.998142i	$0.519406\pi$
$422$	−17.2356	−	12.5224i	−0.839016	−	0.609581i
$423$	3.28583	−	10.1128i	0.159763	−	0.491699i
$424$	−6.51738			−0.316512
$425$	−13.8588	+	1.33925i	−0.672250	+	0.0649633i
$426$	0.906255			0.0439082
$427$	1.46617	−	4.51242i	0.0709531	−	0.218371i
$428$	−15.2131	−	11.0530i	−0.735355	−	0.534267i
$429$	−10.6383	−	7.72918i	−0.513622	−	0.373168i
$430$	−5.27725	+	8.05216i	−0.254492	+	0.388310i
$431$	7.44763	−	5.41102i	0.358740	−	0.260640i	−0.393787	−	0.919202i	$-0.628835\pi$
$431$	7.44763	−	5.41102i	0.358740	−	0.260640i	0.752526	+	0.658562i	$0.228835\pi$
$432$	8.30550			0.399599
$433$	−28.1516	+	20.4533i	−1.35288	+	0.982923i	−0.354015	+	0.935240i	$0.615184\pi$
$433$	−28.1516	+	20.4533i	−1.35288	+	0.982923i	−0.998862	+	0.0476837i	$0.984816\pi$
$434$	−2.99934	−	9.23102i	−0.143973	−	0.443103i
$435$	2.42237	+	50.2509i	0.116144	+	2.40935i
$436$	3.18574	−	9.80470i	0.152569	−	0.469560i
$437$	4.01342	+	12.3520i	0.191988	+	0.590878i
$438$	13.7026	+	42.1723i	0.654736	+	2.01507i
$439$	−2.58025	+	7.94118i	−0.123148	+	0.379012i	−0.993559	−	0.113314i	$-0.963853\pi$
$439$	−2.58025	+	7.94118i	−0.123148	+	0.379012i	0.870411	+	0.492326i	$0.163853\pi$
$440$	−0.197391	−	4.09478i	−0.00941024	−	0.195211i
$441$	−6.52155	−	20.0713i	−0.310550	−	0.955775i
$442$	5.44703	−	3.95750i	0.259089	−	0.188239i
$443$	−1.19887			−0.0569599			−0.0284799	−	0.999594i	$-0.509067\pi$
$443$	−1.19887			−0.0569599			−0.0284799	+	0.999594i	$0.509067\pi$
$444$	3.15555	−	2.29264i	0.149756	−	0.108804i
$445$	−4.06988	+	6.20992i	−0.192931	+	0.294379i
$446$	−2.62535	−	1.90743i	−0.124314	−	0.0903194i
$447$	4.03076	+	2.92852i	0.190648	+	0.138514i
$448$	0.566541	−	1.74363i	0.0267666	−	0.0823790i
$449$	32.7953			1.54771			0.773853	−	0.633365i	$-0.218327\pi$
$449$	32.7953			1.54771			0.773853	+	0.633365i	$0.218327\pi$
$450$	24.9915	+	14.7096i	1.17811	+	0.693415i
$451$	−6.44437			−0.303453
$452$	1.87160	−	5.76019i	0.0880326	−	0.270936i
$453$	51.0373	+	37.0808i	2.39794	+	1.74221i
$454$	−13.2495	−	9.62631i	−0.621829	−	0.451785i
$455$	−0.477261	−	9.90054i	−0.0223743	−	0.464145i
$456$	4.01342	−	2.91592i	0.187946	−	0.136550i
$457$	19.7884			0.925664			0.462832	−	0.886446i	$-0.346833\pi$
$457$	19.7884			0.925664			0.462832	+	0.886446i	$0.346833\pi$
$458$	4.11788	−	2.99181i	0.192416	−	0.139798i
$459$	7.14697	+	21.9961i	0.333592	+	1.02669i
$460$	16.2384	−	6.15537i	0.757119	−	0.286995i
$461$	2.90468	−	8.93970i	0.135285	−	0.416363i	−0.860350	−	0.509704i	$-0.829755\pi$
$461$	2.90468	−	8.93970i	0.135285	−	0.416363i	0.995634	+	0.0933412i	$0.0297547\pi$
$462$	−3.08118	−	9.48290i	−0.143350	−	0.441185i
$463$	5.47977	+	16.8650i	0.254666	+	0.783783i	0.993895	+	0.110328i	$0.0351902\pi$
$463$	5.47977	+	16.8650i	0.254666	+	0.783783i	−0.739229	+	0.673454i	$0.764810\pi$
$464$	2.34373	−	7.21327i	0.108805	−	0.334868i
$465$	−33.8819	−	9.23102i	−1.57124	−	0.428078i
$466$	−0.513883	−	1.58157i	−0.0238052	−	0.0732649i
$467$	−17.6857	+	12.8494i	−0.818398	+	0.594601i	−0.916253	−	0.400599i	$-0.868802\pi$
$467$	−17.6857	+	12.8494i	−0.818398	+	0.594601i	0.0978549	+	0.995201i	$0.468802\pi$
$468$	−14.0231			−0.648216
$469$	−14.0908	+	10.2375i	−0.650651	+	0.472726i
$470$	−3.83337	+	1.45309i	−0.176820	+	0.0670258i
$471$	−25.0824	−	18.2234i	−1.15574	−	0.839691i
$472$	7.33001	+	5.32556i	0.337391	+	0.245129i
$473$	2.43924	−	7.50722i	0.112157	−	0.345182i
$474$	−10.2662			−0.471541
$475$	8.32284	−	0.804283i	0.381878	−	0.0369030i
$476$	5.10532			0.234002
$477$	−11.6807	+	35.9495i	−0.534823	+	1.64602i
$478$	−10.3553	−	7.52354i	−0.473639	−	0.344119i
$479$	4.94352	+	3.59168i	0.225875	+	0.164108i	0.694967	−	0.719041i	$-0.255419\pi$
$479$	4.94352	+	3.59168i	0.225875	+	0.164108i	−0.469092	+	0.883149i	$0.655419\pi$
$480$	−4.15275	−	5.17240i	−0.189546	−	0.236087i
$481$	−2.57198	+	1.86865i	−0.117272	+	0.0852031i
$482$	0.395477			0.0180135
$483$	34.1708	−	24.8266i	1.55483	−	1.12965i
$484$	−2.36051	−	7.26490i	−0.107296	−	0.330223i
$485$	−15.5252	−	19.3372i	−0.704963	−	0.878057i
$486$	−1.06431	+	3.27560i	−0.0482780	+	0.148584i
$487$	1.56421	+	4.81415i	0.0708812	+	0.218150i	0.980222	−	0.197903i	$-0.0634131\pi$
$487$	1.56421	+	4.81415i	0.0708812	+	0.218150i	−0.909340	+	0.416053i	$0.863413\pi$
$488$	0.799717	+	2.46127i	0.0362015	+	0.111417i
$489$	9.54324	−	29.3711i	0.431560	−	1.32821i
$490$	−4.46004	+	6.80524i	−0.201484	+	0.307429i
$491$	0.736165	+	2.26568i	0.0332227	+	0.102249i	0.966293	−	0.257446i	$-0.0828809\pi$
$491$	0.736165	+	2.26568i	0.0332227	+	0.102249i	−0.933070	+	0.359695i	$0.882881\pi$
$492$	−8.43579	+	6.12896i	−0.380315	+	0.276315i
$493$	21.1203			0.951209
$494$	−3.27120	+	2.37666i	−0.147178	+	0.106931i
$495$	−22.9404	−	6.25003i	−1.03109	−	0.280918i
$496$	4.28304	+	3.11181i	0.192314	+	0.139724i
$497$	−0.453127	−	0.329216i	−0.0203255	−	0.0147674i
$498$	−5.84166	+	17.9788i	−0.261771	+	0.805648i
$499$	−0.0503313			−0.00225314			−0.00112657	−	0.999999i	$-0.500359\pi$
$499$	−0.0503313			−0.00225314			−0.00112657	+	0.999999i	$0.500359\pi$
$500$	−1.61000	−	11.0638i	−0.0720012	−	0.494789i
$501$	6.29393			0.281192
$502$	2.89422	−	8.90749i	0.129175	−	0.397561i
$503$	4.37744	+	3.18040i	0.195181	+	0.141807i	0.681083	−	0.732206i	$-0.261509\pi$
$503$	4.37744	+	3.18040i	0.195181	+	0.141807i	−0.485903	+	0.874013i	$0.661509\pi$
$504$	−8.60242	−	6.25003i	−0.383182	−	0.278398i
$505$	−28.4364	−	7.74739i	−1.26540	−	0.344755i
$506$	−11.5191	+	8.36912i	−0.512087	+	0.372053i
$507$	−21.2220			−0.942502
$508$	−0.269620	+	0.195890i	−0.0119625	+	0.00869123i
$509$	5.85472	+	18.0190i	0.259506	+	0.798678i	0.992908	+	0.118883i	$0.0379312\pi$
$509$	5.85472	+	18.0190i	0.259506	+	0.798678i	−0.733402	+	0.679795i	$0.762069\pi$
$510$	10.1250	−	15.4490i	0.448342	−	0.684091i
$511$	8.46868	−	26.0639i	0.374632	−	1.15300i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	−4.29208	−	13.2097i	−0.189500	−	0.583221i
$514$	−1.53868	+	4.73556i	−0.0678681	+	0.208877i
$515$	3.68621	+	4.59130i	0.162434	+	0.202317i
$516$	−3.94678	−	12.1469i	−0.173747	−	0.534739i
$517$	2.71929	−	1.97568i	0.119594	−	0.0868904i
$518$	−2.41062			−0.105917
$519$	43.4735	−	31.5854i	1.90828	−	1.38644i
$520$	3.38476	+	4.21584i	0.148432	+	0.184877i
$521$	−31.0817	−	22.5822i	−1.36171	−	0.989342i	−0.998334	−	0.0577005i	$-0.981623\pi$
$521$	−31.0817	−	22.5822i	−1.36171	−	0.989342i	−0.363379	−	0.931642i	$-0.618377\pi$
$522$	−35.5875	−	25.8558i	−1.55762	−	1.13168i
$523$	−3.79057	+	11.6662i	−0.165750	+	0.510127i	−0.999091	−	0.0426332i	$-0.986425\pi$
$523$	−3.79057	+	11.6662i	−0.165750	+	0.510127i	0.833341	+	0.552760i	$0.186425\pi$
$524$	−5.17801			−0.226202
$525$	−10.8517	−	24.9338i	−0.473608	−	1.08820i
$526$	−19.8112			−0.863809
$527$	−4.55565	+	14.0208i	−0.198447	+	0.610757i
$528$	4.39991	+	3.19672i	0.191481	+	0.139119i
$529$	−30.1883	−	21.9331i	−1.31254	−	0.953613i
$530$	13.6271	−	5.16553i	0.591924	−	0.224376i
$531$	42.5127	−	30.8873i	1.84489	−	1.34039i
$532$	−3.06598			−0.132927
$533$	6.87572	−	4.99550i	0.297820	−	0.216379i
$534$	−3.04380	−	9.36786i	−0.131718	−	0.405387i
$535$	40.5694	+	11.0530i	1.75397	+	0.477863i
$536$	2.93569	−	9.03513i	0.126803	−	0.390258i
$537$	9.68061	+	29.7939i	0.417749	+	1.28570i
$538$	4.57157	+	14.0698i	0.197094	+	0.606594i
$539$	2.06151	−	6.34468i	0.0887957	−	0.273285i
$540$	−17.3659	+	6.58276i	−0.747309	+	0.283277i
$541$	12.9872	+	39.9704i	0.558362	+	1.71846i	0.686896	+	0.726756i	$0.258973\pi$
$541$	12.9872	+	39.9704i	0.558362	+	1.71846i	−0.128534	+	0.991705i	$0.541027\pi$
$542$	10.1583	−	7.38047i	0.436338	−	0.317018i
$543$	53.8593			2.31132
$544$	−2.25284	+	1.63679i	−0.0965899	+	0.0701767i
$545$	1.10996	+	23.0255i	0.0475453	+	0.986304i
$546$	10.6383	+	7.72918i	0.455277	+	0.330778i
$547$	−15.6719	−	11.3863i	−0.670080	−	0.486842i	0.199972	−	0.979802i	$-0.435915\pi$
$547$	−15.6719	−	11.3863i	−0.670080	−	0.486842i	−0.870052	+	0.492960i	$0.835915\pi$
$548$	−6.03299	+	18.5676i	−0.257717	+	0.793170i
$549$	15.0096			0.640592
$550$	3.65815	+	8.40528i	0.155984	+	0.358402i
$551$	−12.6837			−0.540344
$552$	−7.11920	+	21.9106i	−0.303013	+	0.932579i
$553$	5.13308	+	3.72940i	0.218281	+	0.158590i
$554$	5.12256	+	3.72176i	0.217637	+	0.158122i
$555$	−4.78081	+	7.29467i	−0.202934	+	0.309642i
$556$	6.43579	−	4.67587i	0.272938	−	0.198301i
$557$	8.54685			0.362142			0.181071	−	0.983470i	$-0.442044\pi$
$557$	8.54685			0.362142			0.181071	+	0.983470i	$0.442044\pi$
$558$	24.8408	−	18.0479i	1.05160	−	0.764029i
$559$	3.21688	+	9.90054i	0.136060	+	0.418748i
$560$	0.197391	+	4.09478i	0.00834129	+	0.173036i
$561$	−4.67995	+	14.4034i	−0.197588	+	0.608113i
$562$	−6.20792	−	19.1060i	−0.261865	−	0.805938i
$563$	−7.24949	−	22.3116i	−0.305529	−	0.940323i	−0.979479	−	0.201546i	$-0.935404\pi$
$563$	−7.24949	−	22.3116i	−0.305529	−	0.940323i	0.673950	−	0.738777i	$-0.264596\pi$
$564$	1.68061	−	5.17240i	0.0707667	−	0.217797i
$565$	0.652091	+	13.5273i	0.0274337	+	0.569098i
$566$	0.561416	+	1.72786i	0.0235981	+	0.0726274i
$567$	−10.7362	+	7.80028i	−0.450877	+	0.327581i
$568$	0.305502			0.0128186
$569$	5.74445	−	4.17359i	0.240820	−	0.174966i	−0.460829	−	0.887489i	$-0.652448\pi$
$569$	5.74445	−	4.17359i	0.240820	−	0.174966i	0.701649	+	0.712523i	$0.252448\pi$
$570$	−6.08052	+	9.27781i	−0.254685	+	0.388605i
$571$	9.67745	+	7.03108i	0.404989	+	0.294241i	0.771570	−	0.636145i	$-0.219472\pi$
$571$	9.67745	+	7.03108i	0.404989	+	0.294241i	−0.366581	+	0.930386i	$0.619472\pi$
$572$	−3.58621	−	2.60553i	−0.149947	−	0.108943i
$573$	−20.0801	+	61.8001i	−0.838856	+	2.58173i
$574$	6.44437			0.268983
$575$	−29.0741	+	25.7404i	−1.21247	+	1.07345i
$576$	5.79981			0.241659
$577$	12.8457	−	39.5350i	0.534774	−	1.64587i	−0.209362	−	0.977838i	$-0.567139\pi$
$577$	12.8457	−	39.5350i	0.534774	−	1.64587i	0.744137	−	0.668027i	$-0.232861\pi$
$578$	7.47987	+	5.43444i	0.311121	+	0.226043i
$579$	−65.8171	−	47.8189i	−2.73526	−	1.98729i
$580$	0.816590	+	16.9397i	0.0339070	+	0.703385i
$581$	9.45200	−	6.86728i	0.392135	−	0.284903i
$582$	32.8984			1.36368
$583$	−9.66673	+	7.02329i	−0.400355	+	0.290875i
$584$	4.61920	+	14.2164i	0.191144	+	0.588280i
$585$	29.3207	−	11.1144i	1.21226	−	0.459523i
$586$	−2.11964	+	6.52359i	−0.0875617	+	0.269487i
$587$	5.91072	+	18.1913i	0.243962	+	0.750836i	0.995806	+	0.0914953i	$0.0291646\pi$
$587$	5.91072	+	18.1913i	0.243962	+	0.750836i	−0.751844	+	0.659341i	$0.770835\pi$
$588$	−3.33560	−	10.2659i	−0.137558	−	0.423359i
$589$	2.73588	−	8.42016i	0.112730	−	0.346947i
$590$	−19.5472	−	5.32556i	−0.804744	−	0.219250i
$591$	−1.03010	−	3.17031i	−0.0423725	−	0.130409i
$592$	1.06375	−	0.772856i	0.0437197	−	0.0317642i
$593$	0.538428			0.0221106			0.0110553	−	0.999939i	$-0.496481\pi$
$593$	0.538428			0.0221106			0.0110553	+	0.999939i	$0.496481\pi$
$594$	12.3189	−	8.95022i	0.505451	−	0.367232i
$595$	−10.6747	+	4.04636i	−0.437618	+	0.165885i
$596$	1.35878	+	0.987213i	0.0556579	+	0.0404378i
$597$	−61.1956	−	44.4612i	−2.50457	−	1.81968i
$598$	5.80261	−	17.8586i	0.237286	−	0.730292i
$599$	−38.4209			−1.56983			−0.784917	−	0.619601i	$-0.787295\pi$
$599$	−38.4209			−1.56983			−0.784917	+	0.619601i	$0.787295\pi$
$600$	12.7825	+	7.52354i	0.521842	+	0.307147i
$601$	19.6034			0.799639			0.399820	−	0.916594i	$-0.369073\pi$
$601$	19.6034			0.799639			0.399820	+	0.916594i	$0.369073\pi$
$602$	−2.43924	+	7.50722i	−0.0994162	+	0.305971i
$603$	−44.5759	−	32.3863i	−1.81527	−	1.31887i
$604$	17.2048	+	12.5001i	0.700055	+	0.508620i
$605$	10.6936	+	13.3192i	0.434755	+	0.541503i
$606$	31.6323	−	22.9822i	1.28498	−	0.933590i
$607$	−32.4415			−1.31676			−0.658381	−	0.752685i	$-0.728758\pi$
$607$	−32.4415			−1.31676			−0.658381	+	0.752685i	$0.728758\pi$
$608$	1.35294	−	0.982966i	0.0548688	−	0.0398646i
$609$	12.7466	+	39.2300i	0.516518	+	1.58968i
$610$	−3.62287	−	4.51242i	−0.146686	−	0.182702i
$611$	−1.36981	+	4.21584i	−0.0554166	+	0.170555i
$612$	4.99080	+	15.3601i	0.201741	+	0.620895i
$613$	−7.25273	−	22.3216i	−0.292935	−	0.901561i	−0.983907	−	0.178680i	$-0.942817\pi$
$613$	−7.25273	−	22.3216i	−0.292935	−	0.901561i	0.690972	−	0.722881i	$-0.257183\pi$
$614$	−0.894685	+	2.75356i	−0.0361065	+	0.111124i
$615$	12.7806	−	19.5010i	0.515365	−	0.786356i
$616$	−1.03868	−	3.19672i	−0.0418495	−	0.128799i
$617$	−14.0876	+	10.2353i	−0.567147	+	0.412056i	−0.834068	−	0.551662i	$-0.813994\pi$
$617$	−14.0876	+	10.2353i	−0.567147	+	0.412056i	0.266921	+	0.963718i	$0.413994\pi$
$618$	−7.81119			−0.314212
$619$	−10.1801	+	7.39624i	−0.409171	+	0.297280i	−0.773266	−	0.634082i	$-0.781378\pi$
$619$	−10.1801	+	7.39624i	−0.409171	+	0.297280i	0.364095	+	0.931362i	$0.381378\pi$
$620$	−11.4217	−	3.11181i	−0.458707	−	0.124973i
$621$	52.1838	+	37.9137i	2.09406	+	1.52143i
$622$	16.7054	+	12.1372i	0.669826	+	0.486657i
$623$	−1.88117	+	5.78966i	−0.0753676	+	0.231958i
$624$	−7.17242			−0.287127
$625$	12.1353	+	21.8572i	0.485410	+	0.874287i
$626$	16.4272			0.656563
$627$	2.81053	−	8.64992i	0.112242	−	0.345445i
$628$	−8.45536	−	6.14318i	−0.337406	−	0.245140i
$629$	2.96218	+	2.15215i	0.118110	+	0.0858118i
$630$	22.9404	+	6.25003i	0.913965	+	0.249007i
$631$	−33.7653	+	24.5319i	−1.34418	+	0.976601i	−0.344897	+	0.938640i	$0.612086\pi$
$631$	−33.7653	+	24.5319i	−1.34418	+	0.976601i	−0.999279	+	0.0379610i	$0.987914\pi$
$632$	−3.46076			−0.137662
$633$	−51.1285	+	37.1470i	−2.03218	+	1.47646i
$634$	5.10060	+	15.6980i	0.202571	+	0.623448i
$635$	0.408487	−	0.623280i	0.0162103	−	0.0247341i
$636$	−5.97437	+	18.3872i	−0.236899	+	0.729101i
$637$	2.71873	+	8.36739i	0.107720	+	0.331528i
$638$	−4.29692	−	13.2246i	−0.170117	−	0.523565i
$639$	0.547533	−	1.68513i	0.0216601	−	0.0666628i
$640$	−1.39991	−	1.74363i	−0.0553362	−	0.0689232i
$641$	−4.44926	−	13.6934i	−0.175735	−	0.540858i	0.823931	−	0.566690i	$-0.191776\pi$
$641$	−4.44926	−	13.6934i	−0.175735	−	0.540858i	−0.999666	+	0.0258324i	$0.991776\pi$
$642$	−45.1290	+	32.7881i	−1.78110	+	1.29404i
$643$	30.1666			1.18966			0.594828	−	0.803853i	$-0.297220\pi$
$643$	30.1666			1.18966			0.594828	+	0.803853i	$0.297220\pi$
$644$	11.5191	−	8.36912i	0.453916	−	0.329790i
$645$	17.8797	+	22.2698i	0.704012	+	0.876872i
$646$	3.76748	+	2.73724i	0.148230	+	0.107695i
$647$	8.64660	+	6.28212i	0.339933	+	0.246976i	0.744633	−	0.667474i	$-0.232624\pi$
$647$	8.64660	+	6.28212i	0.339933	+	0.246976i	−0.404701	+	0.914449i	$0.632624\pi$
$648$	2.23679	−	6.88413i	0.0878693	−	0.270434i
$649$	16.6110			0.652039
$650$	−10.4185	−	6.13217i	−0.408649	−	0.240524i
$651$	−28.7925			−1.12847
$652$	3.21706	−	9.90109i	0.125990	−	0.387757i
$653$	−8.22432	−	5.97532i	−0.321843	−	0.233832i	0.415119	−	0.909767i	$-0.363740\pi$
$653$	−8.22432	−	5.97532i	−0.321843	−	0.233832i	−0.736961	+	0.675935i	$0.763740\pi$
$654$	−24.7413	−	17.9756i	−0.967461	−	0.702902i
$655$	10.8266	−	4.10398i	0.423032	−	0.160356i
$656$	−2.84373	+	2.06609i	−0.111029	+	0.0806674i
$657$	86.6959			3.38233
$658$	−2.71929	+	1.97568i	−0.106009	+	0.0770201i
$659$	9.61668	+	29.5971i	0.374613	+	1.15294i	0.943740	+	0.330689i	$0.107281\pi$
$659$	9.61668	+	29.5971i	0.374613	+	1.15294i	−0.569127	+	0.822250i	$0.692719\pi$
$660$	−11.7334	−	3.19672i	−0.456721	−	0.124432i
$661$	12.8131	−	39.4347i	0.498372	−	1.53383i	−0.313262	−	0.949667i	$-0.601422\pi$
$661$	12.8131	−	39.4347i	0.498372	−	1.53383i	0.811635	−	0.584165i	$-0.198578\pi$
$662$	8.48901	+	26.1265i	0.329935	+	1.01543i
$663$	−6.17194	−	18.9953i	−0.239698	−	0.737715i
$664$	−1.96924	+	6.06071i	−0.0764215	+	0.235201i
$665$	6.41062	−	2.43003i	0.248593	−	0.0942324i
$666$	−2.35655	−	7.25271i	−0.0913144	−	0.281037i
$667$	47.6536	−	34.6224i	1.84515	−	1.34058i
$668$	2.12171			0.0820913
$669$	−7.78797	+	5.65829i	−0.301100	+	0.218762i
$670$	1.02284	+	21.2182i	0.0395156	+	0.819732i
$671$	3.83849	+	2.78883i	0.148183	+	0.107661i
$672$	−4.39991	−	3.19672i	−0.169730	−	0.123316i
$673$	0.662831	−	2.03998i	0.0255503	−	0.0786356i	−0.937468	−	0.348071i	$-0.886837\pi$
$673$	0.662831	−	2.03998i	0.0255503	−	0.0786356i	0.963019	+	0.269435i	$0.0868369\pi$
$674$	−2.74521			−0.105742
$675$	31.0928	−	27.5276i	1.19676	−	1.05954i
$676$	−7.15401			−0.275154
$677$	12.8391	−	39.5147i	0.493446	−	1.51867i	−0.325918	−	0.945398i	$-0.605673\pi$
$677$	12.8391	−	39.5147i	0.493446	−	1.51867i	0.819364	−	0.573274i	$-0.194327\pi$
$678$	−14.5353	−	10.5605i	−0.558226	−	0.405575i
$679$	−16.4492	−	11.9510i	−0.631263	−	0.458639i
$680$	3.41317	−	5.20790i	0.130889	−	0.199714i
$681$	−39.3039	+	28.5560i	−1.50613	+	1.09427i
$682$	9.70607			0.371665
$683$	23.3247	−	16.9464i	0.892495	−	0.648436i	−0.0440323	−	0.999030i	$-0.514020\pi$
$683$	23.3247	−	16.9464i	0.892495	−	0.648436i	0.936527	+	0.350595i	$0.114020\pi$
$684$	−2.99720	−	9.22445i	−0.114601	−	0.352706i
$685$	−2.10198	−	43.6045i	−0.0803124	−	1.66604i
$686$	−6.02730	+	18.5501i	−0.230123	+	0.708247i
$687$	−4.66589	−	14.3601i	−0.178015	−	0.547874i
$688$	−1.33047	−	4.09478i	−0.0507238	−	0.156112i
$689$	4.86950	−	14.9868i	0.185513	−	0.570951i
$690$	−2.48043	−	51.4553i	−0.0944283	−	1.95887i
$691$	−15.2050	−	46.7963i	−0.578426	−	1.78021i	−0.624204	−	0.781262i	$-0.714576\pi$
$691$	−15.2050	−	46.7963i	−0.578426	−	1.78021i	0.0457774	−	0.998952i	$-0.485424\pi$
$692$	14.6551	−	10.6475i	0.557103	−	0.404759i
$693$	−19.4945			−0.740535
$694$	17.2637	−	12.5428i	0.655319	−	0.476117i
$695$	−9.75053	+	14.8776i	−0.369859	+	0.564340i
$696$	−18.2021	−	13.2246i	−0.689947	−	0.501276i
$697$	−7.91886	−	5.75339i	−0.299948	−	0.217925i
$698$	−5.18067	+	15.9445i	−0.196091	+	0.603507i
$699$	−4.93309			−0.186587
$700$	−3.65815	−	8.40528i	−0.138265	−	0.317690i
$701$	−24.9783			−0.943419			−0.471709	−	0.881754i	$-0.656363\pi$
$701$	−24.9783			−0.943419			−0.471709	+	0.881754i	$0.656363\pi$
$702$	−6.20551	+	19.0986i	−0.234212	+	0.720830i
$703$	−1.77893	−	1.29247i	−0.0670935	−	0.0487462i
$704$	1.48322	+	1.07763i	0.0559011	+	0.0406145i
$705$	0.585550	+	12.1469i	0.0220531	+	0.457480i
$706$	−2.41785	+	1.75667i	−0.0909969	+	0.0661131i
$707$	−24.1650			−0.908817
$708$	21.7441	−	15.7980i	0.817193	−	0.593725i
$709$	3.02602	+	9.31312i	0.113644	+	0.349762i	0.991662	−	0.128867i	$-0.0411340\pi$
$709$	3.02602	+	9.31312i	0.113644	+	0.349762i	−0.878017	+	0.478629i	$0.841134\pi$
$710$	−0.638770	+	0.242134i	−0.0239726	+	0.00908712i
$711$	−6.20252	+	19.0894i	−0.232613	+	0.715908i
$712$	−1.02608	−	3.15794i	−0.0384538	−	0.118349i
$713$	12.7054	+	39.1032i	0.475821	+	1.46443i
$714$	4.67995	−	14.4034i	0.175143	−	0.539034i
$715$	9.56346	+	2.60553i	0.357653	+	0.0974414i
$716$	3.26337	+	10.0436i	0.121958	+	0.375348i
$717$	−30.7184	+	22.3182i	−1.14720	+	0.833488i
$718$	6.70494			0.250226
$719$	6.94474	−	5.04565i	0.258995	−	0.188171i	−0.450709	−	0.892671i	$-0.648829\pi$
$719$	6.94474	−	5.04565i	0.258995	−	0.188171i	0.709704	+	0.704500i	$0.248829\pi$
$720$	−12.1268	+	4.59680i	−0.451938	+	0.171313i
$721$	3.90559	+	2.83758i	0.145452	+	0.105677i
$722$	13.1088	+	9.52408i	0.487858	+	0.354450i
$723$	0.362527	−	1.11574i	0.0134825	−	0.0414950i
$724$	18.1561			0.674768
$725$	−15.1335	−	34.7719i	−0.562043	−	1.29140i
$726$	−22.6600			−0.840992
$727$	−7.42142	+	22.8408i	−0.275245	+	0.847118i	0.713909	+	0.700238i	$0.246923\pi$
$727$	−7.42142	+	22.8408i	−0.275245	+	0.847118i	−0.989154	+	0.146880i	$0.953077\pi$
$728$	3.58621	+	2.60553i	0.132914	+	0.0965675i
$729$	25.8337	+	18.7693i	0.956802	+	0.695157i
$730$	−20.9259	−	26.0639i	−0.774501	−	0.964669i
$731$	9.69962	−	7.04719i	0.358754	−	0.260650i
$732$	7.67698			0.283749
$733$	15.3787	−	11.1733i	0.568025	−	0.412695i	−0.266362	−	0.963873i	$-0.585822\pi$
$733$	15.3787	−	11.1733i	0.568025	−	0.412695i	0.834387	+	0.551178i	$0.185822\pi$
$734$	1.24119	+	3.82000i	0.0458133	+	0.140999i
$735$	15.1109	+	18.8212i	0.557374	+	0.694230i
$736$	−2.39991	+	7.38615i	−0.0884617	+	0.272257i
$737$	−5.38220	−	16.5647i	−0.198256	−	0.610168i
$738$	6.29981	+	19.3888i	0.231899	+	0.713713i
$739$	−6.42507	+	19.7743i	−0.236350	+	0.727411i	0.760589	+	0.649233i	$0.224910\pi$
$739$	−6.42507	+	19.7743i	−0.236350	+	0.727411i	−0.996939	+	0.0781776i	$0.975090\pi$
$740$	−1.61163	+	2.45906i	−0.0592446	+	0.0903968i
$741$	3.70653	+	11.4075i	0.136163	+	0.419066i
$742$	9.66673	−	7.02329i	0.354877	−	0.257833i
$743$	6.53365			0.239696			0.119848	−	0.992792i	$-0.461759\pi$
$743$	6.53365			0.239696			0.119848	+	0.992792i	$0.461759\pi$
$744$	12.7054	−	9.23102i	0.465803	−	0.338426i
$745$	−3.62351	−	0.987213i	−0.132755	−	0.0361687i
$746$	−21.5063	−	15.6252i	−0.787401	−	0.572080i
$747$	29.9012	+	21.7245i	1.09403	+	0.794858i
$748$	−1.57763	+	4.85544i	−0.0576838	+	0.177533i
$749$	34.4755			1.25971
$750$	−32.6897	−	5.59979i	−1.19366	−	0.204475i
$751$	27.9879			1.02129			0.510646	−	0.859791i	$-0.329406\pi$
$751$	27.9879			1.02129			0.510646	+	0.859791i	$0.329406\pi$
$752$	0.566541	−	1.74363i	0.0206596	−	0.0635838i
$753$	−22.4773	−	16.3307i	−0.819117	−	0.595123i
$754$	14.8359	+	10.7789i	0.540290	+	0.392544i
$755$	−45.8807	−	12.5001i	−1.66977	−	0.454923i
$756$	−12.3189	+	8.95022i	−0.448035	+	0.325516i
$757$	4.48558			0.163031			0.0815156	−	0.996672i	$-0.474024\pi$
$757$	4.48558			0.163031			0.0815156	+	0.996672i	$0.474024\pi$
$758$	12.6431	−	9.18578i	0.459220	−	0.333643i
$759$	13.0521	+	40.1702i	0.473761	+	1.45809i
$760$	−2.04977	+	3.12758i	−0.0743528	+	0.113449i
$761$	0.138770	−	0.427091i	0.00503042	−	0.0154820i	−0.948510	−	0.316748i	$-0.897409\pi$
$761$	0.138770	−	0.427091i	0.00503042	−	0.0154820i	0.953540	+	0.301266i	$0.0974091\pi$
$762$	0.305502	+	0.940237i	0.0110672	+	0.0340612i
$763$	5.84063	+	17.9756i	0.211445	+	0.650760i
$764$	−6.76906	+	20.8330i	−0.244896	+	0.753712i
$765$	−22.6093	−	28.1607i	−0.817440	−	1.01815i
$766$	4.15489	+	12.7874i	0.150122	+	0.462028i
$767$	−17.7228	+	12.8764i	−0.639935	+	0.464940i
$768$	2.96645			0.107042
$769$	−16.9783	+	12.3355i	−0.612254	+	0.444829i	−0.850207	−	0.526448i	$-0.823524\pi$
$769$	−16.9783	+	12.3355i	−0.612254	+	0.444829i	0.237953	+	0.971277i	$0.423524\pi$
$770$	4.70541	+	5.86076i	0.169571	+	0.211207i
$771$	11.9498	+	8.68202i	0.430360	+	0.312675i
$772$	−22.1872	−	16.1199i	−0.798533	−	0.580168i
$773$	10.8283	−	33.3262i	0.389468	−	1.19866i	−0.543718	−	0.839268i	$-0.682984\pi$
$773$	10.8283	−	33.3262i	0.389468	−	1.19866i	0.933187	−	0.359392i	$-0.117016\pi$
$774$	−24.9711			−0.897568
$775$	26.3479	−	2.54615i	0.946444	−	0.0914602i
$776$	11.0902			0.398114
$777$	−2.20978	+	6.80099i	−0.0792753	+	0.243984i
$778$	20.3157	+	14.7602i	0.728354	+	0.529180i
$779$	4.75564	+	3.45517i	0.170388	+	0.123794i
$780$	14.9967	−	5.68470i	0.536969	−	0.203545i
$781$	0.453127	−	0.329216i	0.0162142	−	0.0117803i
$782$	−21.6265			−0.773361
$783$	−50.9623	+	37.0263i	−1.82125	+	1.32321i
$784$	−1.12444	−	3.46068i	−0.0401586	−	0.123596i
$785$	22.5482	+	6.14318i	0.804779	+	0.219259i
$786$	−4.74659	+	14.6085i	−0.169305	+	0.521068i
$787$	12.1132	+	37.2807i	0.431790	+	1.32891i	0.896340	+	0.443367i	$0.146216\pi$
$787$	12.1132	+	37.2807i	0.431790	+	1.32891i	−0.464550	+	0.885547i	$0.653784\pi$
$788$	−0.347249	−	1.06872i	−0.0123702	−	0.0380717i
$789$	−18.1606	+	55.8925i	−0.646534	+	1.98983i
$790$	7.23607	−	2.74292i	0.257448	−	0.0975888i
$791$	3.43132	+	10.5605i	0.122004	+	0.375489i
$792$	8.60242	−	6.25003i	0.305674	−	0.222085i
$793$	−6.25724			−0.222201
$794$	−2.84628	+	2.06794i	−0.101011	+	0.0733884i
$795$	−2.08155	−	43.1808i	−0.0738251	−	1.53146i
$796$	−20.6293	−	14.9880i	−0.731185	−	0.531237i
$797$	6.98479	+	5.07475i	0.247414	+	0.179757i	0.704580	−	0.709625i	$-0.251135\pi$
$797$	6.98479	+	5.07475i	0.247414	+	0.179757i	−0.457166	+	0.889381i	$0.651135\pi$
$798$	−2.81053	+	8.64992i	−0.0994917	+	0.306204i
$799$	5.10532			0.180613
$800$	4.30902	+	2.53621i	0.152347	+	0.0896686i
$801$	−19.2580			−0.680448
$802$	9.23020	−	28.4076i	0.325930	−	1.00311i
$803$	22.1713	+	16.1084i	0.782408	+	0.568453i
$804$	−22.7993	−	16.5647i	−0.804071	−	0.584192i
$805$	−17.4520	+	26.6287i	−0.615102	+	0.938538i
$806$	−10.3557	+	7.52388i	−0.364765	+	0.265017i
$807$	43.8854			1.54484
$808$	10.6634	−	7.74739i	0.375136	−	0.272552i
$809$	−14.1830	−	43.6508i	−0.498648	−	1.53468i	−0.811194	−	0.584778i	$-0.801182\pi$
$809$	−14.1830	−	43.6508i	−0.498648	−	1.53468i	0.312546	−	0.949903i	$-0.398818\pi$
$810$	0.779328	+	16.1668i	0.0273828	+	0.568043i
$811$	12.1734	−	37.4660i	0.427467	−	1.31561i	−0.473145	−	0.880984i	$-0.656881\pi$
$811$	12.1734	−	37.4660i	0.427467	−	1.31561i	0.900612	−	0.434623i	$-0.143119\pi$
$812$	4.29692	+	13.2246i	0.150792	+	0.464091i
$813$	−11.5102	−	35.4249i	−0.403682	−	1.24240i
$814$	0.744923	−	2.29264i	0.0261096	−	0.0803569i
$815$	1.12087	+	23.2519i	0.0392623	+	0.814477i
$816$	2.55266	+	7.85627i	0.0893609	+	0.275025i
$817$	−5.82507	+	4.23216i	−0.203794	+	0.148065i
$818$	−38.7628			−1.35531
$819$	20.7993	−	15.1116i	0.726788	−	0.528042i
$820$	4.30839	−	6.57385i	0.150456	−	0.229569i
$821$	−22.0672	−	16.0328i	−0.770152	−	0.559548i	0.131855	−	0.991269i	$-0.457907\pi$
$821$	−22.0672	−	16.0328i	−0.770152	−	0.559548i	−0.902007	+	0.431721i	$0.857907\pi$
$822$	46.8538	+	34.0413i	1.63421	+	1.18733i
$823$	1.89701	−	5.83841i	0.0661258	−	0.203514i	−0.912534	−	0.409000i	$-0.865878\pi$
$823$	1.89701	−	5.83841i	0.0661258	−	0.203514i	0.978660	+	0.205486i	$0.0658775\pi$
$824$	−2.63318			−0.0917311
$825$	27.0668	−	2.61562i	0.942346	−	0.0910642i
$826$	−16.6110			−0.577971
$827$	13.6170	−	41.9087i	0.473508	−	1.45731i	−0.374451	−	0.927247i	$-0.622169\pi$
$827$	13.6170	−	41.9087i	0.473508	−	1.45731i	0.847959	−	0.530062i	$-0.177831\pi$
$828$	36.4404	+	26.4755i	1.26639	+	0.920088i
$829$	−3.80236	−	2.76257i	−0.132061	−	0.0959481i	0.519794	−	0.854292i	$-0.326009\pi$
$829$	−3.80236	−	2.76257i	−0.132061	−	0.0959481i	−0.651855	+	0.758344i	$0.726009\pi$
$830$	−0.686112	−	14.2331i	−0.0238153	−	0.494036i
$831$	15.1958	−	11.0404i	0.527136	−	0.382987i
$832$	−2.41785			−0.0838238
$833$	8.19758	−	5.95589i	0.284029	−	0.206359i
$834$	−7.29228	−	22.4433i	−0.252511	−	0.777149i
$835$	−4.43625	+	1.68162i	−0.153523	+	0.0581948i
$836$	0.947439	−	2.91592i	0.0327679	−	0.100849i
$837$	−13.5876	−	41.8183i	−0.469656	−	1.44545i
$838$	−5.84362	−	17.9848i	−0.201864	−	0.621275i
$839$	−14.2747	+	43.9331i	−0.492819	+	1.51674i	0.327509	+	0.944848i	$0.393791\pi$
$839$	−14.2747	+	43.9331i	−0.492819	+	1.51674i	−0.820328	+	0.571893i	$0.806209\pi$
$840$	11.7334	+	3.19672i	0.404840	+	0.110297i
$841$	8.81451	+	27.1283i	0.303949	+	0.935458i
$842$	17.8414	−	12.9625i	0.614855	−	0.446718i
$843$	−59.5937			−2.05252
$844$	−17.2356	+	12.5224i	−0.593274	+	0.431039i
$845$	14.9583	−	5.67011i	0.514580	−	0.195058i
$846$	−8.60242	−	6.25003i	−0.295757	−	0.214880i
$847$	11.3300	+	8.23173i	0.389304	+	0.282846i
$848$	−2.01398	+	6.19839i	−0.0691604	+	0.212854i
$849$	5.38938			0.184963
$850$	−3.00889	+	13.5943i	−0.103204	+	0.466282i
$851$	10.2116			0.350048
$852$	0.280048	−	0.861899i	0.00959429	−	0.0295282i
$853$	−10.2282	−	7.43121i	−0.350206	−	0.254440i	0.398749	−	0.917060i	$-0.369444\pi$
$853$	−10.2282	−	7.43121i	−0.350206	−	0.254440i	−0.748956	+	0.662620i	$0.769444\pi$
$854$	−3.83849	−	2.78883i	−0.131350	−	0.0954317i
$855$	13.5779	+	16.9118i	0.464355	+	0.578371i
$856$	−15.2131	+	11.0530i	−0.519974	+	0.377783i
$857$	−19.4162			−0.663245			−0.331623	−	0.943412i	$-0.607596\pi$
$857$	−19.4162			−0.663245			−0.331623	+	0.943412i	$0.607596\pi$
$858$	−10.6383	+	7.72918i	−0.363186	+	0.263870i
$859$	2.88593	+	8.88197i	0.0984665	+	0.303049i	0.988142	−	0.153545i	$-0.0490691\pi$
$859$	2.88593	+	8.88197i	0.0984665	+	0.303049i	−0.889675	+	0.456594i	$0.849069\pi$
$860$	6.02730	+	7.50722i	0.205529	+	0.255994i
$861$	5.90744	−	18.1812i	0.201325	−	0.619615i
$862$	−2.84474	−	8.75521i	−0.0968923	−	0.298204i
$863$	−5.05071	−	15.5445i	−0.171928	−	0.529141i	0.827552	−	0.561390i	$-0.189733\pi$
$863$	−5.05071	−	15.5445i	−0.171928	−	0.529141i	−0.999480	+	0.0322489i	$0.989733\pi$
$864$	2.56654	−	7.89900i	0.0873155	−	0.268729i
$865$	−22.2032	+	33.8781i	−0.754930	+	1.15189i
$866$	10.7529	+	33.0941i	0.365400	+	1.12458i
$867$	22.1886	−	16.1210i	0.753565	−	0.547497i
$868$	−9.70607			−0.329445
$869$	−5.13308	+	3.72940i	−0.174128	+	0.126511i
$870$	48.5400	+	13.2246i	1.64566	+	0.448355i
$871$	18.5829	+	13.5013i	0.629659	+	0.457474i
$872$	−8.34038	−	6.05964i	−0.282441	−	0.205205i
$873$	19.8763	−	61.1728i	0.672709	−	2.07039i
$874$	12.9877			0.439315
$875$	14.3106	+	14.6751i	0.483787	+	0.496110i
$876$	44.3426			1.49820
$877$	−10.9717	+	33.7673i	−0.370487	+	1.14024i	0.575986	+	0.817459i	$0.304618\pi$
$877$	−10.9717	+	33.7673i	−0.370487	+	1.14024i	−0.946473	+	0.322782i	$0.895382\pi$
$878$	6.75517	+	4.90792i	0.227976	+	0.165634i
$879$	16.4617	+	11.9601i	0.555240	+	0.403405i
$880$	−3.95536	−	1.07763i	−0.133335	−	0.0363267i
$881$	25.5378	−	18.5543i	0.860390	−	0.625110i	−0.0676008	−	0.997712i	$-0.521534\pi$
$881$	25.5378	−	18.5543i	0.860390	−	0.625110i	0.927991	+	0.372602i	$0.121534\pi$
$882$	−21.1042			−0.710615
$883$	−28.2592	+	20.5315i	−0.950997	+	0.690940i	−0.951042	−	0.309060i	$-0.899986\pi$
$883$	−28.2592	+	20.5315i	−0.950997	+	0.690940i	4.54670e−5		1.00000i	$0.499986\pi$
$884$	−2.08058	−	6.40337i	−0.0699775	−	0.215369i
$885$	−32.9433	+	50.2658i	−1.10738	+	1.68967i
$886$	−0.370470	+	1.14019i	−0.0124462	+	0.0383054i
$887$	−13.2668	−	40.8311i	−0.445456	−	1.37097i	−0.881982	−	0.471282i	$-0.843791\pi$
$887$	−13.2668	−	40.8311i	−0.445456	−	1.37097i	0.436526	−	0.899692i	$-0.356209\pi$
$888$	−1.20531	−	3.70957i	−0.0404476	−	0.124485i
$889$	0.188810	−	0.581099i	0.00633250	−	0.0194894i
$890$	4.64832	+	5.78966i	0.155812	+	0.194070i
$891$	−4.10085	−	12.6211i	−0.137384	−	0.422823i
$892$	−2.62535	+	1.90743i	−0.0879033	+	0.0638655i
$893$	−3.06598			−0.102599
$894$	4.03076	−	2.92852i	0.134809	−	0.0979442i
$895$	−14.7837	−	18.4136i	−0.494164	−	0.615500i
$896$	−1.48322	−	1.07763i	−0.0495510	−	0.0360009i
$897$	−45.0646	−	32.7413i	−1.50466	−	1.09320i
$898$	10.1343	−	31.1902i	0.338186	−	1.04083i
$899$	−40.1532			−1.33918
$900$	21.7124	−	19.2228i	0.723747	−	0.640761i
$901$	−18.1487			−0.604622
$902$	−1.99142	+	6.12896i	−0.0663070	+	0.204072i
$903$	18.9438	+	13.7635i	0.630410	+	0.458020i
$904$	−4.89991	−	3.55999i	−0.162968	−	0.118404i
$905$	−37.9625	+	14.3902i	−1.26192	+	0.478345i
$906$	51.0373	−	37.0808i	1.69560	−	1.23193i
$907$	−39.8259			−1.32240			−0.661199	−	0.750211i	$-0.729952\pi$
$907$	−39.8259			−1.32240			−0.661199	+	0.750211i	$0.729952\pi$
$908$	−13.2495	+	9.62631i	−0.439700	+	0.319460i
$909$	−23.6229	−	72.7038i	−0.783522	−	2.41143i
$910$	−9.56346	−	2.60553i	−0.317026	−	0.0863726i
$911$	−0.522189	+	1.60713i	−0.0173009	+	0.0532467i	−0.959334	−	0.282273i	$-0.908912\pi$
$911$	−0.522189	+	1.60713i	−0.0173009	+	0.0532467i	0.942033	+	0.335519i	$0.108912\pi$
$912$	−1.53299	−	4.71806i	−0.0507623	−	0.156230i
$913$	3.61034	+	11.1115i	0.119485	+	0.367737i
$914$	6.11496	−	18.8199i	0.202265	−	0.622508i
$915$	−16.0517	+	6.08461i	−0.530654	+	0.201151i
$916$	−1.57289	−	4.84085i	−0.0519697	−	0.159946i
$917$	7.68015	−	5.57995i	0.253621	−	0.184266i
$918$	23.1281			0.763340
$919$	24.2013	−	17.5833i	0.798327	−	0.580019i	−0.112096	−	0.993697i	$-0.535756\pi$
$919$	24.2013	−	17.5833i	0.798327	−	0.580019i	0.910423	+	0.413679i	$0.135756\pi$
$920$	−0.836161	−	17.3457i	−0.0275674	−	0.571872i
$921$	6.94836	+	5.04828i	0.228956	+	0.166346i
$922$	−7.60456	−	5.52504i	−0.250443	−	0.181957i
$923$	−0.228257	+	0.702504i	−0.00751318	+	0.0231232i
$924$	−9.97091			−0.328019
$925$	1.42074	−	6.41896i	0.0467135	−	0.211054i
$926$	17.7329			0.582739
$927$	−4.71929	+	14.5245i	−0.155002	+	0.477047i
$928$	−6.13597	−	4.45805i	−0.201423	−	0.146343i
$929$	12.8664	+	9.34795i	0.422131	+	0.306696i	0.778495	−	0.627651i	$-0.215983\pi$
$929$	12.8664	+	9.34795i	0.422131	+	0.306696i	−0.356363	+	0.934347i	$0.615983\pi$
$930$	−19.2493	+	29.3711i	−0.631210	+	0.963115i
$931$	−4.92303	+	3.57679i	−0.161346	+	0.117225i
$932$	−1.66296			−0.0544721
$933$	49.5557	−	36.0043i	1.62238	−	1.17873i
$934$	6.75535	+	20.7908i	0.221042	+	0.680297i
$935$	−0.549668	−	11.4026i	−0.0179761	−	0.372905i
$936$	−4.33337	+	13.3367i	−0.141640	+	0.435925i
$937$	14.2973	+	44.0026i	0.467073	+	1.43750i	0.856357	+	0.516384i	$0.172722\pi$
$937$	14.2973	+	44.0026i	0.467073	+	1.43750i	−0.389284	+	0.921118i	$0.627278\pi$
$938$	5.38220	+	16.5647i	0.175735	+	0.540856i
$939$	15.0585	−	46.3454i	0.491417	−	1.51243i
$940$	0.197391	+	4.09478i	0.00643818	+	0.133557i
$941$	−3.60650	−	11.0997i	−0.117569	−	0.361839i	0.874906	−	0.484294i	$-0.160923\pi$
$941$	−3.60650	−	11.0997i	−0.117569	−	0.361839i	−0.992474	+	0.122455i	$0.960923\pi$
$942$	−25.0824	+	18.2234i	−0.817228	+	0.593751i
$943$	−27.2988			−0.888971
$944$	7.33001	−	5.32556i	0.238571	−	0.173332i
$945$	18.6638	−	28.4776i	0.607132	−	0.926377i
$946$	−6.38602	−	4.63972i	−0.207628	−	0.150850i
$947$	2.37336	+	1.72435i	0.0771238	+	0.0560337i	0.625679	−	0.780081i	$-0.284822\pi$
$947$	2.37336	+	1.72435i	0.0771238	+	0.0560337i	−0.548555	+	0.836114i	$0.684822\pi$
$948$	−3.17242	+	9.76370i	−0.103035	+	0.317110i
$949$	−36.1421			−1.17322
$950$	1.80698	−	8.16403i	0.0586262	−	0.264876i
$951$	48.9638			1.58776
$952$	1.57763	−	4.85544i	0.0511313	−	0.157366i
$953$	8.03924	+	5.84085i	0.260417	+	0.189204i	0.710331	−	0.703868i	$-0.248545\pi$
$953$	8.03924	+	5.84085i	0.260417	+	0.189204i	−0.449914	+	0.893072i	$0.648545\pi$
$954$	30.5805	+	22.2180i	0.990080	+	0.719335i
$955$	−2.35843	−	48.9245i	−0.0763171	−	1.58316i
$956$	−10.3553	+	7.52354i	−0.334913	+	0.243329i
$957$	−41.2488			−1.33339
$958$	4.94352	−	3.59168i	0.159718	−	0.116042i
$959$	−11.0607	−	34.0413i	−0.357168	−	1.09925i
$960$	−6.20252	+	2.35114i	−0.200185	+	0.0758827i
$961$	−0.918471	+	2.82676i	−0.0296281	+	0.0911859i
$962$	0.982407	+	3.02354i	0.0316741	+	0.0974828i
$963$	33.7021	+	103.725i	1.08604	+	3.34248i
$964$	0.122209	−	0.376121i	0.00393610	−	0.0121141i
$965$	59.1672	+	16.1199i	1.90466	+	0.518918i
$966$	−13.0521	−	40.1702i	−0.419944	−	1.29246i
$967$	−36.7193	+	26.6781i	−1.18081	+	0.857910i	−0.992263	−	0.124153i	$-0.960379\pi$
$967$	−36.7193	+	26.6781i	−1.18081	+	0.857910i	−0.188549	+	0.982064i	$0.560379\pi$
$968$	−7.63877			−0.245519
$969$	11.1760	−	8.11987i	0.359026	−	0.260848i
$970$	−23.1883	+	8.78982i	−0.744532	+	0.282224i
$971$	3.78844	+	2.75246i	0.121577	+	0.0883307i	0.646912	−	0.762565i	$-0.276060\pi$
$971$	3.78844	+	2.75246i	0.121577	+	0.0883307i	−0.525335	+	0.850895i	$0.676060\pi$
$972$	2.78640	+	2.02444i	0.0893737	+	0.0649338i
$973$	−4.50688	+	13.8707i	−0.144484	+	0.444675i
$974$	5.06189			0.162194
$975$	−26.8510	+	23.7722i	−0.859919	+	0.761319i
$976$	2.58794			0.0828379
$977$	0.991339	−	3.05103i	0.0317157	−	0.0976110i	−0.933946	−	0.357415i	$-0.883658\pi$
$977$	0.991339	−	3.05103i	0.0317157	−	0.0976110i	0.965661	+	0.259804i	$0.0836581\pi$
$978$	−24.9845	−	18.1523i	−0.798917	−	0.580447i
$979$	−4.92498	−	3.57820i	−0.157403	−	0.114360i
$980$	5.09394	+	6.34468i	0.162720	+	0.202674i
$981$	−48.3726	+	35.1448i	−1.54442	+	1.12209i
$982$	2.38228			0.0760216
$983$	−15.8337	+	11.5038i	−0.505015	+	0.366915i	−0.810929	−	0.585144i	$-0.801038\pi$
$983$	−15.8337	+	11.5038i	−0.505015	+	0.366915i	0.305914	+	0.952059i	$0.401038\pi$
$984$	3.22218	+	9.91686i	0.102719	+	0.316138i
$985$	1.57311	+	1.95936i	0.0501233	+	0.0624304i
$986$	6.52652	−	20.0866i	0.207847	−	0.639687i
$987$	3.08118	+	9.48290i	0.0980751	+	0.301844i
$988$	1.24949	+	3.84552i	0.0397514	+	0.122342i
$989$	10.3328	−	31.8011i	0.328564	−	1.01122i
$990$	−13.0331	+	19.8862i	−0.414219	+	0.632025i
$991$	13.9762	+	43.0144i	0.443969	+	1.36640i	0.883610	+	0.468223i	$0.155106\pi$
$991$	13.9762	+	43.0144i	0.443969	+	1.36640i	−0.439641	+	0.898173i	$0.644894\pi$
$992$	4.28304	−	3.11181i	0.135987	−	0.0988000i
$993$	81.4913			2.58605
$994$	−0.453127	+	0.329216i	−0.0143723	+	0.0104421i
$995$	55.0127	+	14.9880i	1.74402	+	0.475153i
$996$	15.2937	+	11.1115i	0.484598	+	0.352081i
$997$	46.9808	+	34.1335i	1.48790	+	1.08102i	0.974904	+	0.222626i	$0.0714627\pi$
$997$	46.9808	+	34.1335i	1.48790	+	1.08102i	0.512991	+	0.858394i	$0.328537\pi$
$998$	−0.0155532	+	0.0478679i	−0.000492329	+	0.00151523i
$999$	−10.9206			−0.345512

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	50.2.d.b.21.1	✓	8
3.2	odd	2		450.2.h.e.271.1		8
4.3	odd	2		400.2.u.d.321.2		8
5.2	odd	4		250.2.e.c.149.3		16
5.3	odd	4		250.2.e.c.149.2		16
5.4	even	2		250.2.d.d.101.2		8
25.6	even	5	inner	50.2.d.b.31.1	yes	8
25.8	odd	20		250.2.e.c.99.3		16
25.9	even	10		1250.2.a.f.1.1		4
25.12	odd	20		1250.2.b.e.1249.5		8
25.13	odd	20		1250.2.b.e.1249.4		8
25.16	even	5		1250.2.a.l.1.4		4
25.17	odd	20		250.2.e.c.99.2		16
25.19	even	10		250.2.d.d.151.2		8
75.56	odd	10		450.2.h.e.181.1		8
100.31	odd	10		400.2.u.d.81.2		8
100.59	odd	10		10000.2.a.x.1.4		4
100.91	odd	10		10000.2.a.t.1.1		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
50.2.d.b.21.1	✓	8	1.1	even	1	trivial
50.2.d.b.31.1	yes	8	25.6	even	5	inner
250.2.d.d.101.2		8	5.4	even	2
250.2.d.d.151.2		8	25.19	even	10
250.2.e.c.99.2		16	25.17	odd	20
250.2.e.c.99.3		16	25.8	odd	20
250.2.e.c.149.2		16	5.3	odd	4
250.2.e.c.149.3		16	5.2	odd	4
400.2.u.d.81.2		8	100.31	odd	10
400.2.u.d.321.2		8	4.3	odd	2
450.2.h.e.181.1		8	75.56	odd	10
450.2.h.e.271.1		8	3.2	odd	2
1250.2.a.f.1.1		4	25.9	even	10
1250.2.a.l.1.4		4	25.16	even	5
1250.2.b.e.1249.4		8	25.13	odd	20
1250.2.b.e.1249.5		8	25.12	odd	20
10000.2.a.t.1.1		4	100.91	odd	10
10000.2.a.x.1.4		4	100.59	odd	10

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:	\( N \)	\(=\)	\( 50 = 2 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	50.d (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(-2.39991 - 1.74363i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.15743 + 0.587785i) q^{5} +(-2.39991 + 1.74363i) q^{6} +1.83337 q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.79224 + 5.51595i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(-2.39991 - 1.74363i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.15743 + 0.587785i) q^{5} +(-2.39991 + 1.74363i) q^{6} +1.83337 q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.79224 + 5.51595i) q^{9} +(1.22570 - 1.87020i) q^{10} +(-0.566541 + 1.74363i) q^{11} +(0.916683 + 2.82126i) q^{12} +(-0.747156 - 2.29951i) q^{13} +(0.566541 - 1.74363i) q^{14} +(-4.15275 - 5.17240i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-2.25284 + 1.63679i) q^{17} +5.79981 q^{18} +(1.35294 - 0.982966i) q^{19} +(-1.39991 - 1.74363i) q^{20} +(-4.39991 - 3.19672i) q^{21} +(1.48322 + 1.07763i) q^{22} +(-2.39991 + 7.38615i) q^{23} +2.96645 q^{24} +(4.30902 + 2.53621i) q^{25} -2.41785 q^{26} +(2.56654 - 7.89900i) q^{27} +(-1.48322 - 1.07763i) q^{28} +(-6.13597 - 4.45805i) q^{29} +(-6.20252 + 2.35114i) q^{30} +(4.28304 - 3.11181i) q^{31} +1.00000 q^{32} +(4.39991 - 3.19672i) q^{33} +(0.860510 + 2.64838i) q^{34} +(3.95536 + 1.07763i) q^{35} +(1.79224 - 5.51595i) q^{36} +(-0.406315 - 1.25051i) q^{37} +(-0.516776 - 1.59047i) q^{38} +(-2.21640 + 6.82138i) q^{39} +(-2.09089 + 0.792578i) q^{40} +(1.08621 + 3.34301i) q^{41} +(-4.39991 + 3.19672i) q^{42} -4.30550 q^{43} +(1.48322 - 1.07763i) q^{44} +(0.624442 + 12.9537i) q^{45} +(6.28304 + 4.56489i) q^{46} +(-1.48322 - 1.07763i) q^{47} +(0.916683 - 2.82126i) q^{48} -3.63877 q^{49} +(3.74364 - 3.31439i) q^{50} +8.26057 q^{51} +(-0.747156 + 2.29951i) q^{52} +(5.27267 + 3.83082i) q^{53} +(-6.71929 - 4.88185i) q^{54} +(-2.24716 + 3.42877i) q^{55} +(-1.48322 + 1.07763i) q^{56} -4.96086 q^{57} +(-6.13597 + 4.45805i) q^{58} +(-2.79981 - 8.61694i) q^{59} +(0.319385 + 6.62549i) q^{60} +(0.799717 - 2.46127i) q^{61} +(-1.63597 - 5.03501i) q^{62} +(3.28583 + 10.1128i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-0.260320 - 5.40020i) q^{65} +(-1.68061 - 5.17240i) q^{66} +(-7.68574 + 5.58402i) q^{67} +2.78467 q^{68} +(18.6383 - 13.5415i) q^{69} +(2.24716 - 3.42877i) q^{70} +(-0.247156 - 0.179569i) q^{71} +(-4.69215 - 3.40904i) q^{72} +(4.61920 - 14.2164i) q^{73} -1.31486 q^{74} +(-5.91901 - 13.6000i) q^{75} -1.67232 q^{76} +(-1.03868 + 3.19672i) q^{77} +(5.80261 + 4.21584i) q^{78} +(2.79981 + 2.03418i) q^{79} +(0.107666 + 2.23347i) q^{80} +(-5.85599 + 4.25462i) q^{81} +3.51505 q^{82} +(5.15555 - 3.74572i) q^{83} +(1.68061 + 5.17240i) q^{84} +(-5.82243 + 2.20707i) q^{85} +(-1.33047 + 4.09478i) q^{86} +(6.95256 + 21.3978i) q^{87} +(-0.566541 - 1.74363i) q^{88} +(-1.02608 + 3.15794i) q^{89} +(12.5127 + 3.40904i) q^{90} +(-1.36981 - 4.21584i) q^{91} +(6.28304 - 4.56489i) q^{92} -15.7047 q^{93} +(-1.48322 + 1.07763i) q^{94} +(3.49664 - 1.32545i) q^{95} +(-2.39991 - 1.74363i) q^{96} +(-8.97214 - 6.51864i) q^{97} +(-1.12444 + 3.46068i) q^{98} -10.6332 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 2 q^{2} - 3 q^{3} - 2 q^{4} - 3 q^{6} + 4 q^{7} - 2 q^{8} - q^{9}+O(q^{10}) \) 8 * q - 2 * q^2 - 3 * q^3 - 2 * q^4 - 3 * q^6 + 4 * q^7 - 2 * q^8 - q^9	\( 8 q - 2 q^{2} - 3 q^{3} - 2 q^{4} - 3 q^{6} + 4 q^{7} - 2 q^{8} - q^{9} + q^{11} + 2 q^{12} - 13 q^{13} - q^{14} - 10 q^{15} - 2 q^{16} - 11 q^{17} + 14 q^{18} + 20 q^{19} + 5 q^{20} - 19 q^{21} + q^{22} - 3 q^{23} + 2 q^{24} + 30 q^{25} + 22 q^{26} + 15 q^{27} - q^{28} - 15 q^{29} - 10 q^{30} - 9 q^{31} + 8 q^{32} + 19 q^{33} - q^{34} - 15 q^{35} - q^{36} - 6 q^{37} - 15 q^{38} - 12 q^{39} - 5 q^{40} - 9 q^{41} - 19 q^{42} + 12 q^{43} + q^{44} + 15 q^{45} + 7 q^{46} - q^{47} + 2 q^{48} - 4 q^{49} - 5 q^{50} + 26 q^{51} - 13 q^{52} + 7 q^{53} - 25 q^{54} - 25 q^{55} - q^{56} - 15 q^{58} + 10 q^{59} - 10 q^{60} + 6 q^{61} + 21 q^{62} - 8 q^{63} - 2 q^{64} - 10 q^{65} - 26 q^{66} - 11 q^{67} + 24 q^{68} + 43 q^{69} + 25 q^{70} - 9 q^{71} - 6 q^{72} - 8 q^{73} + 24 q^{74} + 30 q^{75} - 10 q^{76} + 33 q^{77} + 23 q^{78} - 10 q^{79} - 17 q^{81} + 26 q^{82} + 27 q^{83} + 26 q^{84} + 5 q^{85} - 23 q^{86} + q^{88} - 15 q^{89} + 20 q^{90} + q^{91} + 7 q^{92} - 46 q^{93} - q^{94} - 30 q^{95} - 3 q^{96} - 36 q^{97} - 19 q^{98} - 42 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 - 3 * q^3 - 2 * q^4 - 3 * q^6 + 4 * q^7 - 2 * q^8 - q^9 + q^11 + 2 * q^12 - 13 * q^13 - q^14 - 10 * q^15 - 2 * q^16 - 11 * q^17 + 14 * q^18 + 20 * q^19 + 5 * q^20 - 19 * q^21 + q^22 - 3 * q^23 + 2 * q^24 + 30 * q^25 + 22 * q^26 + 15 * q^27 - q^28 - 15 * q^29 - 10 * q^30 - 9 * q^31 + 8 * q^32 + 19 * q^33 - q^34 - 15 * q^35 - q^36 - 6 * q^37 - 15 * q^38 - 12 * q^39 - 5 * q^40 - 9 * q^41 - 19 * q^42 + 12 * q^43 + q^44 + 15 * q^45 + 7 * q^46 - q^47 + 2 * q^48 - 4 * q^49 - 5 * q^50 + 26 * q^51 - 13 * q^52 + 7 * q^53 - 25 * q^54 - 25 * q^55 - q^56 - 15 * q^58 + 10 * q^59 - 10 * q^60 + 6 * q^61 + 21 * q^62 - 8 * q^63 - 2 * q^64 - 10 * q^65 - 26 * q^66 - 11 * q^67 + 24 * q^68 + 43 * q^69 + 25 * q^70 - 9 * q^71 - 6 * q^72 - 8 * q^73 + 24 * q^74 + 30 * q^75 - 10 * q^76 + 33 * q^77 + 23 * q^78 - 10 * q^79 - 17 * q^81 + 26 * q^82 + 27 * q^83 + 26 * q^84 + 5 * q^85 - 23 * q^86 + q^88 - 15 * q^89 + 20 * q^90 + q^91 + 7 * q^92 - 46 * q^93 - q^94 - 30 * q^95 - 3 * q^96 - 36 * q^97 - 19 * q^98 - 42 * q^99

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