LMFDB - Embedded newform 22.2.c.a.9.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [22,2,Mod(3,22)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(22, 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("22.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 22 = 2 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	22.c (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:	$0.175670884447$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{10})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{3} + x^{2} - x + 1 $ x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			9.1
Root			$-0.309017 + 0.951057i$ of defining polynomial
Character	$\chi$	$=$	22.9
Dual form			22.2.c.a.5.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(-2.11803 + 1.53884i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.381966 - 1.17557i) q^{5} +(0.809017 + 2.48990i) q^{6} +(1.61803 + 1.17557i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.19098 - 3.66547i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(-2.11803 + 1.53884i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.381966 - 1.17557i) q^{5} +(0.809017 + 2.48990i) q^{6} +(1.61803 + 1.17557i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.19098 - 3.66547i) q^{9} -1.23607 q^{10} +(-0.809017 - 3.21644i) q^{11} +2.61803 q^{12} +(-1.00000 + 3.07768i) q^{13} +(1.61803 - 1.17557i) q^{14} +(2.61803 + 1.90211i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.500000 + 1.53884i) q^{17} +(-3.11803 - 2.26538i) q^{18} +(-0.690983 + 0.502029i) q^{19} +(-0.381966 + 1.17557i) q^{20} -5.23607 q^{21} +(-3.30902 - 0.224514i) q^{22} -3.23607 q^{23} +(0.809017 - 2.48990i) q^{24} +(2.80902 - 2.04087i) q^{25} +(2.61803 + 1.90211i) q^{26} +(0.690983 + 2.12663i) q^{27} +(-0.618034 - 1.90211i) q^{28} +(3.61803 + 2.62866i) q^{29} +(2.61803 - 1.90211i) q^{30} +(0.618034 - 1.90211i) q^{31} +1.00000 q^{32} +(6.66312 + 5.56758i) q^{33} +1.61803 q^{34} +(0.763932 - 2.35114i) q^{35} +(-3.11803 + 2.26538i) q^{36} +(-7.85410 - 5.70634i) q^{37} +(0.263932 + 0.812299i) q^{38} +(-2.61803 - 8.05748i) q^{39} +(1.00000 + 0.726543i) q^{40} +(-2.73607 + 1.98787i) q^{41} +(-1.61803 + 4.97980i) q^{42} +11.5623 q^{43} +(-1.23607 + 3.07768i) q^{44} -4.76393 q^{45} +(-1.00000 + 3.07768i) q^{46} +(-2.00000 + 1.45309i) q^{47} +(-2.11803 - 1.53884i) q^{48} +(-0.927051 - 2.85317i) q^{49} +(-1.07295 - 3.30220i) q^{50} +(-3.42705 - 2.48990i) q^{51} +(2.61803 - 1.90211i) q^{52} +(-3.23607 + 9.95959i) q^{53} +2.23607 q^{54} +(-3.47214 + 2.17963i) q^{55} -2.00000 q^{56} +(0.690983 - 2.12663i) q^{57} +(3.61803 - 2.62866i) q^{58} +(5.16312 + 3.75123i) q^{59} +(-1.00000 - 3.07768i) q^{60} +(2.00000 + 6.15537i) q^{61} +(-1.61803 - 1.17557i) q^{62} +(6.23607 - 4.53077i) q^{63} +(0.309017 - 0.951057i) q^{64} +4.00000 q^{65} +(7.35410 - 4.61653i) q^{66} -0.0901699 q^{67} +(0.500000 - 1.53884i) q^{68} +(6.85410 - 4.97980i) q^{69} +(-2.00000 - 1.45309i) q^{70} +(-0.236068 - 0.726543i) q^{71} +(1.19098 + 3.66547i) q^{72} +(-10.2082 - 7.41669i) q^{73} +(-7.85410 + 5.70634i) q^{74} +(-2.80902 + 8.64527i) q^{75} +0.854102 q^{76} +(2.47214 - 6.15537i) q^{77} -8.47214 q^{78} +(-4.14590 + 12.7598i) q^{79} +(1.00000 - 0.726543i) q^{80} +(4.61803 + 3.35520i) q^{81} +(1.04508 + 3.21644i) q^{82} +(-1.95492 - 6.01661i) q^{83} +(4.23607 + 3.07768i) q^{84} +(1.61803 - 1.17557i) q^{85} +(3.57295 - 10.9964i) q^{86} -11.7082 q^{87} +(2.54508 + 2.12663i) q^{88} +3.09017 q^{89} +(-1.47214 + 4.53077i) q^{90} +(-5.23607 + 3.80423i) q^{91} +(2.61803 + 1.90211i) q^{92} +(1.61803 + 4.97980i) q^{93} +(0.763932 + 2.35114i) q^{94} +(0.854102 + 0.620541i) q^{95} +(-2.11803 + 1.53884i) q^{96} +(4.28115 - 13.1760i) q^{97} -3.00000 q^{98} +(-12.7533 - 0.865300i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - q^{2} - 4 q^{3} - q^{4} - 6 q^{5} + q^{6} + 2 q^{7} - q^{8} + 7 q^{9}+O(q^{10}) $ 4 * q - q^2 - 4 * q^3 - q^4 - 6 * q^5 + q^6 + 2 * q^7 - q^8 + 7 * q^9	\( 4 q - q^{2} - 4 q^{3} - q^{4} - 6 q^{5} + q^{6} + 2 q^{7} - q^{8} + 7 q^{9} + 4 q^{10} - q^{11} + 6 q^{12} - 4 q^{13} + 2 q^{14} + 6 q^{15} - q^{16} + 2 q^{17} - 8 q^{18} - 5 q^{19} - 6 q^{20} - 12 q^{21} - 11 q^{22} - 4 q^{23} + q^{24} + 9 q^{25} + 6 q^{26} + 5 q^{27} + 2 q^{28} + 10 q^{29} + 6 q^{30} - 2 q^{31} + 4 q^{32} + 11 q^{33} + 2 q^{34} + 12 q^{35} - 8 q^{36} - 18 q^{37} + 10 q^{38} - 6 q^{39} + 4 q^{40} - 2 q^{41} - 2 q^{42} + 6 q^{43} + 4 q^{44} - 28 q^{45} - 4 q^{46} - 8 q^{47} - 4 q^{48} + 3 q^{49} - 11 q^{50} - 7 q^{51} + 6 q^{52} - 4 q^{53} + 4 q^{55} - 8 q^{56} + 5 q^{57} + 10 q^{58} + 5 q^{59} - 4 q^{60} + 8 q^{61} - 2 q^{62} + 16 q^{63} - q^{64} + 16 q^{65} + 16 q^{66} + 22 q^{67} + 2 q^{68} + 14 q^{69} - 8 q^{70} + 8 q^{71} + 7 q^{72} - 14 q^{73} - 18 q^{74} - 9 q^{75} - 10 q^{76} - 8 q^{77} - 16 q^{78} - 30 q^{79} + 4 q^{80} + 14 q^{81} - 7 q^{82} - 19 q^{83} + 8 q^{84} + 2 q^{85} + 21 q^{86} - 20 q^{87} - q^{88} - 10 q^{89} + 12 q^{90} - 12 q^{91} + 6 q^{92} + 2 q^{93} + 12 q^{94} - 10 q^{95} - 4 q^{96} - 3 q^{97} - 12 q^{98} - 13 q^{99}+O(q^{100}) \) 4 * q - q^2 - 4 * q^3 - q^4 - 6 * q^5 + q^6 + 2 * q^7 - q^8 + 7 * q^9 + 4 * q^10 - q^11 + 6 * q^12 - 4 * q^13 + 2 * q^14 + 6 * q^15 - q^16 + 2 * q^17 - 8 * q^18 - 5 * q^19 - 6 * q^20 - 12 * q^21 - 11 * q^22 - 4 * q^23 + q^24 + 9 * q^25 + 6 * q^26 + 5 * q^27 + 2 * q^28 + 10 * q^29 + 6 * q^30 - 2 * q^31 + 4 * q^32 + 11 * q^33 + 2 * q^34 + 12 * q^35 - 8 * q^36 - 18 * q^37 + 10 * q^38 - 6 * q^39 + 4 * q^40 - 2 * q^41 - 2 * q^42 + 6 * q^43 + 4 * q^44 - 28 * q^45 - 4 * q^46 - 8 * q^47 - 4 * q^48 + 3 * q^49 - 11 * q^50 - 7 * q^51 + 6 * q^52 - 4 * q^53 + 4 * q^55 - 8 * q^56 + 5 * q^57 + 10 * q^58 + 5 * q^59 - 4 * q^60 + 8 * q^61 - 2 * q^62 + 16 * q^63 - q^64 + 16 * q^65 + 16 * q^66 + 22 * q^67 + 2 * q^68 + 14 * q^69 - 8 * q^70 + 8 * q^71 + 7 * q^72 - 14 * q^73 - 18 * q^74 - 9 * q^75 - 10 * q^76 - 8 * q^77 - 16 * q^78 - 30 * q^79 + 4 * q^80 + 14 * q^81 - 7 * q^82 - 19 * q^83 + 8 * q^84 + 2 * q^85 + 21 * q^86 - 20 * q^87 - q^88 - 10 * q^89 + 12 * q^90 - 12 * q^91 + 6 * q^92 + 2 * q^93 + 12 * q^94 - 10 * q^95 - 4 * q^96 - 3 * q^97 - 12 * q^98 - 13 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/22\mathbb{Z}\right)^\times$.

$n$	$13$
$\chi(n)$	$e\left(\frac{3}{5}\right)$

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
$3$	−2.11803	+	1.53884i	−1.22285	+	0.888451i	−0.996333	−	0.0855571i	$-0.972733\pi$
$3$	−2.11803	+	1.53884i	−1.22285	+	0.888451i	−0.226514	+	0.974008i	$0.572733\pi$
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−0.381966	−	1.17557i	−0.170820	−	0.525731i	0.828598	−	0.559845i	$-0.189139\pi$
$5$	−0.381966	−	1.17557i	−0.170820	−	0.525731i	−0.999418	+	0.0341136i	$0.989139\pi$
$6$	0.809017	+	2.48990i	0.330280	+	1.01650i
$7$	1.61803	+	1.17557i	0.611559	+	0.444324i	0.849963	−	0.526842i	$-0.176624\pi$
$7$	1.61803	+	1.17557i	0.611559	+	0.444324i	−0.238404	+	0.971166i	$0.576624\pi$
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	1.19098	−	3.66547i	0.396994	−	1.22182i
$10$	−1.23607			−0.390879
$11$	−0.809017	−	3.21644i	−0.243928	−	0.969793i
$11$	−0.809017	−	3.21644i	−0.243928	−	0.969793i
$12$	2.61803			0.755761
$13$	−1.00000	+	3.07768i	−0.277350	+	0.853596i	0.711238	+	0.702951i	$0.248135\pi$
$13$	−1.00000	+	3.07768i	−0.277350	+	0.853596i	−0.988588	+	0.150644i	$0.951865\pi$
$14$	1.61803	−	1.17557i	0.432438	−	0.314184i
$15$	2.61803	+	1.90211i	0.675973	+	0.491123i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	0.500000	+	1.53884i	0.121268	+	0.373224i	0.993203	−	0.116398i	$-0.0371348\pi$
$17$	0.500000	+	1.53884i	0.121268	+	0.373224i	−0.871935	+	0.489622i	$0.837135\pi$
$18$	−3.11803	−	2.26538i	−0.734928	−	0.533956i
$19$	−0.690983	+	0.502029i	−0.158522	+	0.115173i	−0.664219	−	0.747538i	$-0.731236\pi$
$19$	−0.690983	+	0.502029i	−0.158522	+	0.115173i	0.505696	+	0.862712i	$0.331236\pi$
$20$	−0.381966	+	1.17557i	−0.0854102	+	0.262866i
$21$	−5.23607			−1.14260
$22$	−3.30902	−	0.224514i	−0.705485	−	0.0478665i
$23$	−3.23607			−0.674767			−0.337383	−	0.941367i	$-0.609542\pi$
$23$	−3.23607			−0.674767			−0.337383	+	0.941367i	$0.609542\pi$
$24$	0.809017	−	2.48990i	0.165140	−	0.508248i
$25$	2.80902	−	2.04087i	0.561803	−	0.408174i
$26$	2.61803	+	1.90211i	0.513439	+	0.373035i
$27$	0.690983	+	2.12663i	0.132980	+	0.409270i
$28$	−0.618034	−	1.90211i	−0.116797	−	0.359466i
$29$	3.61803	+	2.62866i	0.671852	+	0.488129i	0.870645	−	0.491912i	$-0.163702\pi$
$29$	3.61803	+	2.62866i	0.671852	+	0.488129i	−0.198793	+	0.980042i	$0.563702\pi$
$30$	2.61803	−	1.90211i	0.477985	−	0.347277i
$31$	0.618034	−	1.90211i	0.111002	−	0.341630i	−0.880090	−	0.474807i	$-0.842518\pi$
$31$	0.618034	−	1.90211i	0.111002	−	0.341630i	0.991092	+	0.133177i	$0.0425179\pi$
$32$	1.00000			0.176777
$33$	6.66312	+	5.56758i	1.15990	+	0.969192i
$34$	1.61803			0.277491
$35$	0.763932	−	2.35114i	0.129128	−	0.397415i
$36$	−3.11803	+	2.26538i	−0.519672	+	0.377564i
$37$	−7.85410	−	5.70634i	−1.29121	−	0.938116i	−0.291377	−	0.956608i	$-0.594114\pi$
$37$	−7.85410	−	5.70634i	−1.29121	−	0.938116i	−0.999829	+	0.0184918i	$0.994114\pi$
$38$	0.263932	+	0.812299i	0.0428154	+	0.131772i
$39$	−2.61803	−	8.05748i	−0.419221	−	1.29023i
$40$	1.00000	+	0.726543i	0.158114	+	0.114876i
$41$	−2.73607	+	1.98787i	−0.427302	+	0.310453i	−0.780569	−	0.625069i	$-0.785071\pi$
$41$	−2.73607	+	1.98787i	−0.427302	+	0.310453i	0.353267	+	0.935522i	$0.385071\pi$
$42$	−1.61803	+	4.97980i	−0.249668	+	0.768399i
$43$	11.5623			1.76324			0.881618	−	0.471964i	$-0.156455\pi$
$43$	11.5623			1.76324			0.881618	+	0.471964i	$0.156455\pi$
$44$	−1.23607	+	3.07768i	−0.186344	+	0.463978i
$45$	−4.76393			−0.710165
$46$	−1.00000	+	3.07768i	−0.147442	+	0.453780i
$47$	−2.00000	+	1.45309i	−0.291730	+	0.211954i	−0.724018	−	0.689782i	$-0.757707\pi$
$47$	−2.00000	+	1.45309i	−0.291730	+	0.211954i	0.432288	+	0.901736i	$0.357707\pi$
$48$	−2.11803	−	1.53884i	−0.305712	−	0.222113i
$49$	−0.927051	−	2.85317i	−0.132436	−	0.407596i
$50$	−1.07295	−	3.30220i	−0.151738	−	0.467001i
$51$	−3.42705	−	2.48990i	−0.479883	−	0.348655i
$52$	2.61803	−	1.90211i	0.363056	−	0.263776i
$53$	−3.23607	+	9.95959i	−0.444508	+	1.36806i	0.438514	+	0.898724i	$0.355505\pi$
$53$	−3.23607	+	9.95959i	−0.444508	+	1.36806i	−0.883022	+	0.469331i	$0.844495\pi$
$54$	2.23607			0.304290
$55$	−3.47214	+	2.17963i	−0.468183	+	0.293901i
$56$	−2.00000			−0.267261
$57$	0.690983	−	2.12663i	0.0915229	−	0.281679i
$58$	3.61803	−	2.62866i	0.475071	−	0.345159i
$59$	5.16312	+	3.75123i	0.672181	+	0.488368i	0.870755	−	0.491718i	$-0.163631\pi$
$59$	5.16312	+	3.75123i	0.672181	+	0.488368i	−0.198574	+	0.980086i	$0.563631\pi$
$60$	−1.00000	−	3.07768i	−0.129099	−	0.397327i
$61$	2.00000	+	6.15537i	0.256074	+	0.788114i	0.993616	+	0.112813i	$0.0359862\pi$
$61$	2.00000	+	6.15537i	0.256074	+	0.788114i	−0.737542	+	0.675301i	$0.764014\pi$
$62$	−1.61803	−	1.17557i	−0.205491	−	0.149298i
$63$	6.23607	−	4.53077i	0.785671	−	0.570823i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	4.00000			0.496139
$66$	7.35410	−	4.61653i	0.905227	−	0.568255i
$67$	−0.0901699			−0.0110160			−0.00550801	−	0.999985i	$-0.501753\pi$
$67$	−0.0901699			−0.0110160			−0.00550801	+	0.999985i	$0.501753\pi$
$68$	0.500000	−	1.53884i	0.0606339	−	0.186612i
$69$	6.85410	−	4.97980i	0.825137	−	0.599497i
$70$	−2.00000	−	1.45309i	−0.239046	−	0.173677i
$71$	−0.236068	−	0.726543i	−0.0280161	−	0.0862247i	0.936071	−	0.351812i	$-0.114434\pi$
$71$	−0.236068	−	0.726543i	−0.0280161	−	0.0862247i	−0.964087	+	0.265587i	$0.914434\pi$
$72$	1.19098	+	3.66547i	0.140359	+	0.431980i
$73$	−10.2082	−	7.41669i	−1.19478	−	0.868058i	−0.201019	−	0.979587i	$-0.564425\pi$
$73$	−10.2082	−	7.41669i	−1.19478	−	0.868058i	−0.993761	+	0.111529i	$0.964425\pi$
$74$	−7.85410	+	5.70634i	−0.913021	+	0.663348i
$75$	−2.80902	+	8.64527i	−0.324357	+	0.998269i
$76$	0.854102			0.0979722
$77$	2.47214	−	6.15537i	0.281726	−	0.701469i
$78$	−8.47214			−0.959280
$79$	−4.14590	+	12.7598i	−0.466450	+	1.43559i	0.390700	+	0.920518i	$0.372233\pi$
$79$	−4.14590	+	12.7598i	−0.466450	+	1.43559i	−0.857150	+	0.515067i	$0.827767\pi$
$80$	1.00000	−	0.726543i	0.111803	−	0.0812299i
$81$	4.61803	+	3.35520i	0.513115	+	0.372800i
$82$	1.04508	+	3.21644i	0.115410	+	0.355196i
$83$	−1.95492	−	6.01661i	−0.214580	−	0.660409i	−0.999183	−	0.0404107i	$-0.987133\pi$
$83$	−1.95492	−	6.01661i	−0.214580	−	0.660409i	0.784603	−	0.619998i	$-0.212867\pi$
$84$	4.23607	+	3.07768i	0.462193	+	0.335803i
$85$	1.61803	−	1.17557i	0.175500	−	0.127509i
$86$	3.57295	−	10.9964i	0.385281	−	1.18577i
$87$	−11.7082			−1.25525
$88$	2.54508	+	2.12663i	0.271307	+	0.226699i
$89$	3.09017			0.327557			0.163779	−	0.986497i	$-0.447632\pi$
$89$	3.09017			0.327557			0.163779	+	0.986497i	$0.447632\pi$
$90$	−1.47214	+	4.53077i	−0.155177	+	0.477585i
$91$	−5.23607	+	3.80423i	−0.548889	+	0.398791i
$92$	2.61803	+	1.90211i	0.272949	+	0.198309i
$93$	1.61803	+	4.97980i	0.167782	+	0.516381i
$94$	0.763932	+	2.35114i	0.0787936	+	0.242502i
$95$	0.854102	+	0.620541i	0.0876290	+	0.0636662i
$96$	−2.11803	+	1.53884i	−0.216171	+	0.157057i
$97$	4.28115	−	13.1760i	0.434685	−	1.33782i	−0.458724	−	0.888579i	$-0.651693\pi$
$97$	4.28115	−	13.1760i	0.434685	−	1.33782i	0.893409	−	0.449245i	$-0.148307\pi$
$98$	−3.00000			−0.303046
$99$	−12.7533	−	0.865300i	−1.28175	−	0.0869659i
$100$	−3.47214			−0.347214
$101$	5.61803	−	17.2905i	0.559015	−	1.72047i	−0.126081	−	0.992020i	$-0.540240\pi$
$101$	5.61803	−	17.2905i	0.559015	−	1.72047i	0.685097	−	0.728452i	$-0.259760\pi$
$102$	−3.42705	+	2.48990i	−0.339329	+	0.246537i
$103$	−1.85410	−	1.34708i	−0.182690	−	0.132732i	0.492682	−	0.870210i	$-0.336017\pi$
$103$	−1.85410	−	1.34708i	−0.182690	−	0.132732i	−0.675372	+	0.737478i	$0.736017\pi$
$104$	−1.00000	−	3.07768i	−0.0980581	−	0.301792i
$105$	2.00000	+	6.15537i	0.195180	+	0.600702i
$106$	8.47214	+	6.15537i	0.822887	+	0.597862i
$107$	6.35410	−	4.61653i	0.614274	−	0.446296i	−0.236643	−	0.971597i	$-0.576047\pi$
$107$	6.35410	−	4.61653i	0.614274	−	0.446296i	0.850917	+	0.525300i	$0.176047\pi$
$108$	0.690983	−	2.12663i	0.0664899	−	0.204635i
$109$	1.05573			0.101120			0.0505602	−	0.998721i	$-0.483899\pi$
$109$	1.05573			0.101120			0.0505602	+	0.998721i	$0.483899\pi$
$110$	1.00000	+	3.97574i	0.0953463	+	0.379072i
$111$	25.4164			2.41242
$112$	−0.618034	+	1.90211i	−0.0583987	+	0.179733i
$113$	−3.92705	+	2.85317i	−0.369426	+	0.268404i	−0.756973	−	0.653446i	$-0.773323\pi$
$113$	−3.92705	+	2.85317i	−0.369426	+	0.268404i	0.387547	+	0.921850i	$0.373323\pi$
$114$	−1.80902	−	1.31433i	−0.169430	−	0.123098i
$115$	1.23607	+	3.80423i	0.115264	+	0.354746i
$116$	−1.38197	−	4.25325i	−0.128312	−	0.394905i
$117$	10.0902	+	7.33094i	0.932837	+	0.677745i
$118$	5.16312	−	3.75123i	0.475304	−	0.345328i
$119$	−1.00000	+	3.07768i	−0.0916698	+	0.282131i
$120$	−3.23607			−0.295411
$121$	−9.69098	+	5.20431i	−0.880998	+	0.473119i
$122$	6.47214			0.585960
$123$	2.73607	−	8.42075i	0.246703	−	0.759274i
$124$	−1.61803	+	1.17557i	−0.145304	+	0.105569i
$125$	−8.47214	−	6.15537i	−0.757771	−	0.550553i
$126$	−2.38197	−	7.33094i	−0.212202	−	0.653092i
$127$	2.14590	+	6.60440i	0.190418	+	0.586045i	1.00000		0.000961675i	$-0.000306111\pi$
$127$	2.14590	+	6.60440i	0.190418	+	0.586045i	−0.809582	+	0.587007i	$0.800306\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	−24.4894	+	17.7926i	−2.15617	+	1.56655i
$130$	1.23607	−	3.80423i	0.108410	−	0.333653i
$131$	−17.7984			−1.55505			−0.777526	−	0.628851i	$-0.783525\pi$
$131$	−17.7984			−1.55505			−0.777526	+	0.628851i	$0.783525\pi$
$132$	−2.11803	−	8.42075i	−0.184351	−	0.732932i
$133$	−1.70820			−0.148120
$134$	−0.0278640	+	0.0857567i	−0.00240709	+	0.00740825i
$135$	2.23607	−	1.62460i	0.192450	−	0.139823i
$136$	−1.30902	−	0.951057i	−0.112247	−	0.0815524i
$137$	1.51722	+	4.66953i	0.129625	+	0.398945i	0.994715	−	0.102671i	$-0.0327390\pi$
$137$	1.51722	+	4.66953i	0.129625	+	0.398945i	−0.865090	+	0.501616i	$0.832739\pi$
$138$	−2.61803	−	8.05748i	−0.222862	−	0.685898i
$139$		0			0		0.587785	−	0.809017i	$-0.300000\pi$
$139$		0			0		−0.587785	+	0.809017i	$0.700000\pi$
$140$	−2.00000	+	1.45309i	−0.169031	+	0.122808i
$141$	2.00000	−	6.15537i	0.168430	−	0.518375i
$142$	−0.763932			−0.0641078
$143$	10.7082	+	0.726543i	0.895465	+	0.0607565i
$144$	3.85410			0.321175
$145$	1.70820	−	5.25731i	0.141859	−	0.436596i
$146$	−10.2082	+	7.41669i	−0.844837	+	0.613810i
$147$	6.35410	+	4.61653i	0.524077	+	0.380765i
$148$	3.00000	+	9.23305i	0.246598	+	0.758952i
$149$	5.00000	+	15.3884i	0.409616	+	1.26067i	0.916979	+	0.398936i	$0.130620\pi$
$149$	5.00000	+	15.3884i	0.409616	+	1.26067i	−0.507363	+	0.861732i	$0.669380\pi$
$150$	7.35410	+	5.34307i	0.600460	+	0.436260i
$151$	6.47214	−	4.70228i	0.526695	−	0.382666i	−0.292425	−	0.956288i	$-0.594462\pi$
$151$	6.47214	−	4.70228i	0.526695	−	0.382666i	0.819120	+	0.573622i	$0.194462\pi$
$152$	0.263932	−	0.812299i	0.0214077	−	0.0658862i
$153$	6.23607			0.504156
$154$	−5.09017	−	4.25325i	−0.410178	−	0.342737i
$155$	−2.47214			−0.198567
$156$	−2.61803	+	8.05748i	−0.209610	+	0.645115i
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	−0.461601	−	0.887087i	$-0.652725\pi$
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	0.701028	+	0.713134i	$0.252725\pi$
$158$	10.8541	+	7.88597i	0.863506	+	0.627374i
$159$	−8.47214	−	26.0746i	−0.671884	−	2.06785i
$160$	−0.381966	−	1.17557i	−0.0301971	−	0.0929370i
$161$	−5.23607	−	3.80423i	−0.412660	−	0.299815i
$162$	4.61803	−	3.35520i	0.362827	−	0.263609i
$163$	3.73607	−	11.4984i	0.292631	−	0.900627i	−0.691375	−	0.722496i	$-0.742995\pi$
$163$	3.73607	−	11.4984i	0.292631	−	0.900627i	0.984007	−	0.178131i	$-0.0570051\pi$
$164$	3.38197			0.264087
$165$	4.00000	−	9.95959i	0.311400	−	0.775353i
$166$	−6.32624			−0.491011
$167$	−5.94427	+	18.2946i	−0.459982	+	1.41568i	0.405204	+	0.914226i	$0.367200\pi$
$167$	−5.94427	+	18.2946i	−0.459982	+	1.41568i	−0.865186	+	0.501451i	$0.832800\pi$
$168$	4.23607	−	3.07768i	0.326820	−	0.237448i
$169$	2.04508	+	1.48584i	0.157314	+	0.114295i
$170$	−0.618034	−	1.90211i	−0.0474010	−	0.145885i
$171$	1.01722	+	3.13068i	0.0777888	+	0.239409i
$172$	−9.35410	−	6.79615i	−0.713244	−	0.518202i
$173$	11.2361	−	8.16348i	0.854262	−	0.620658i	−0.0720555	−	0.997401i	$-0.522956\pi$
$173$	11.2361	−	8.16348i	0.854262	−	0.620658i	0.926318	+	0.376743i	$0.122956\pi$
$174$	−3.61803	+	11.1352i	−0.274282	+	0.844155i
$175$	6.94427			0.524938
$176$	2.80902	−	1.76336i	0.211738	−	0.132918i
$177$	−16.7082			−1.25587
$178$	0.954915	−	2.93893i	0.0715739	−	0.220282i
$179$	5.16312	−	3.75123i	0.385910	−	0.280380i	−0.377868	−	0.925860i	$-0.623343\pi$
$179$	5.16312	−	3.75123i	0.385910	−	0.280380i	0.763777	+	0.645480i	$0.223343\pi$
$180$	3.85410	+	2.80017i	0.287268	+	0.208712i
$181$	5.61803	+	17.2905i	0.417585	+	1.28520i	0.909918	+	0.414788i	$0.136144\pi$
$181$	5.61803	+	17.2905i	0.417585	+	1.28520i	−0.492333	+	0.870407i	$0.663856\pi$
$182$	2.00000	+	6.15537i	0.148250	+	0.456266i
$183$	−13.7082	−	9.95959i	−1.01334	−	0.736234i
$184$	2.61803	−	1.90211i	0.193004	−	0.140226i
$185$	−3.70820	+	11.4127i	−0.272633	+	0.839077i
$186$	5.23607			0.383927
$187$	4.54508	−	2.85317i	0.332370	−	0.208644i
$188$	2.47214			0.180299
$189$	−1.38197	+	4.25325i	−0.100523	+	0.309379i
$190$	0.854102	−	0.620541i	0.0619631	−	0.0450188i
$191$	−7.47214	−	5.42882i	−0.540665	−	0.392816i	0.283667	−	0.958923i	$-0.408449\pi$
$191$	−7.47214	−	5.42882i	−0.540665	−	0.392816i	−0.824332	+	0.566107i	$0.808449\pi$
$192$	0.809017	+	2.48990i	0.0583858	+	0.179693i
$193$	−2.90983	−	8.95554i	−0.209454	−	0.644634i	−0.999501	−	0.0315871i	$-0.989944\pi$
$193$	−2.90983	−	8.95554i	−0.209454	−	0.644634i	0.790047	−	0.613046i	$-0.210056\pi$
$194$	−11.2082	−	8.14324i	−0.804702	−	0.584650i
$195$	−8.47214	+	6.15537i	−0.606702	+	0.440795i
$196$	−0.927051	+	2.85317i	−0.0662179	+	0.203798i
$197$	−3.05573			−0.217712			−0.108856	−	0.994058i	$-0.534719\pi$
$197$	−3.05573			−0.217712			−0.108856	+	0.994058i	$0.534719\pi$
$198$	−4.76393	+	11.8617i	−0.338558	+	0.842975i
$199$	−1.05573			−0.0748386			−0.0374193	−	0.999300i	$-0.511914\pi$
$199$	−1.05573			−0.0748386			−0.0374193	+	0.999300i	$0.511914\pi$
$200$	−1.07295	+	3.30220i	−0.0758690	+	0.233501i
$201$	0.190983	−	0.138757i	0.0134709	−	0.00978718i
$202$	−14.7082	−	10.6861i	−1.03487	−	0.751874i
$203$	2.76393	+	8.50651i	0.193990	+	0.597040i
$204$	1.30902	+	4.02874i	0.0916495	+	0.282068i
$205$	3.38197	+	2.45714i	0.236207	+	0.171614i
$206$	−1.85410	+	1.34708i	−0.129181	+	0.0938558i
$207$	−3.85410	+	11.8617i	−0.267879	+	0.824446i
$208$	−3.23607			−0.224381
$209$	2.17376	+	1.81636i	0.150362	+	0.125640i
$210$	6.47214			0.446620
$211$	1.57295	−	4.84104i	0.108286	−	0.333271i	−0.882201	−	0.470872i	$-0.843939\pi$
$211$	1.57295	−	4.84104i	0.108286	−	0.333271i	0.990488	+	0.137601i	$0.0439393\pi$
$212$	8.47214	−	6.15537i	0.581869	−	0.422752i
$213$	1.61803	+	1.17557i	0.110866	+	0.0805488i
$214$	−2.42705	−	7.46969i	−0.165910	−	0.510618i
$215$	−4.41641	−	13.5923i	−0.301197	−	0.926988i
$216$	−1.80902	−	1.31433i	−0.123088	−	0.0894287i
$217$	3.23607	−	2.35114i	0.219679	−	0.159606i
$218$	0.326238	−	1.00406i	0.0220956	−	0.0680033i
$219$	33.0344			2.23226
$220$	4.09017	+	0.277515i	0.275759	+	0.0187100i
$221$	−5.23607			−0.352216
$222$	7.85410	−	24.1724i	0.527133	−	1.62235i
$223$	−9.94427	+	7.22494i	−0.665918	+	0.483818i	−0.868656	−	0.495415i	$-0.835016\pi$
$223$	−9.94427	+	7.22494i	−0.665918	+	0.483818i	0.202739	+	0.979233i	$0.435016\pi$
$224$	1.61803	+	1.17557i	0.108109	+	0.0785461i
$225$	−4.13525	−	12.7270i	−0.275684	−	0.848467i
$226$	1.50000	+	4.61653i	0.0997785	+	0.307087i
$227$	19.0172	+	13.8168i	1.26222	+	0.917055i	0.998864	−	0.0476450i	$-0.0151716\pi$
$227$	19.0172	+	13.8168i	1.26222	+	0.917055i	0.263353	+	0.964700i	$0.415172\pi$
$228$	−1.80902	+	1.31433i	−0.119805	+	0.0870435i
$229$	−3.61803	+	11.1352i	−0.239086	+	0.735832i	0.757467	+	0.652874i	$0.226437\pi$
$229$	−3.61803	+	11.1352i	−0.239086	+	0.735832i	−0.996553	+	0.0829584i	$0.973563\pi$
$230$	4.00000			0.263752
$231$	4.23607	+	16.8415i	0.278713	+	1.10809i
$232$	−4.47214			−0.293610
$233$	−2.28115	+	7.02067i	−0.149443	+	0.459939i	−0.997556	−	0.0698773i	$-0.977739\pi$
$233$	−2.28115	+	7.02067i	−0.149443	+	0.459939i	0.848112	+	0.529817i	$0.177739\pi$
$234$	10.0902	−	7.33094i	0.659615	−	0.479238i
$235$	2.47214	+	1.79611i	0.161264	+	0.117165i
$236$	−1.97214	−	6.06961i	−0.128375	−	0.395098i
$237$	−10.8541	−	33.4055i	−0.705050	−	2.16992i
$238$	2.61803	+	1.90211i	0.169702	+	0.123296i
$239$	6.70820	−	4.87380i	0.433918	−	0.315260i	−0.349296	−	0.937012i	$-0.613579\pi$
$239$	6.70820	−	4.87380i	0.433918	−	0.315260i	0.783213	+	0.621753i	$0.213579\pi$
$240$	−1.00000	+	3.07768i	−0.0645497	+	0.198664i
$241$	0.0901699			0.00580836			0.00290418	−	0.999996i	$-0.499076\pi$
$241$	0.0901699			0.00580836			0.00290418	+	0.999996i	$0.499076\pi$
$242$	1.95492	+	10.8249i	0.125667	+	0.695850i
$243$	−21.6525			−1.38901
$244$	2.00000	−	6.15537i	0.128037	−	0.394057i
$245$	−3.00000	+	2.17963i	−0.191663	+	0.139251i
$246$	−7.16312	−	5.20431i	−0.456704	−	0.331815i
$247$	−0.854102	−	2.62866i	−0.0543452	−	0.167257i
$248$	0.618034	+	1.90211i	0.0392452	+	0.120784i
$249$	13.3992	+	9.73508i	0.849139	+	0.616936i
$250$	−8.47214	+	6.15537i	−0.535825	+	0.389300i
$251$	0.944272	−	2.90617i	0.0596019	−	0.183436i	−0.916823	−	0.399295i	$-0.869255\pi$
$251$	0.944272	−	2.90617i	0.0596019	−	0.183436i	0.976425	+	0.215859i	$0.0692551\pi$
$252$	−7.70820			−0.485571
$253$	2.61803	+	10.4086i	0.164594	+	0.654384i
$254$	6.94427			0.435722
$255$	−1.61803	+	4.97980i	−0.101325	+	0.311847i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	2.73607	+	1.98787i	0.170671	+	0.124000i	0.669842	−	0.742504i	$-0.266362\pi$
$257$	2.73607	+	1.98787i	0.170671	+	0.124000i	−0.499171	+	0.866504i	$0.666362\pi$
$258$	9.35410	+	28.7890i	0.582361	+	1.79232i
$259$	−6.00000	−	18.4661i	−0.372822	−	1.14743i
$260$	−3.23607	−	2.35114i	−0.200692	−	0.145812i
$261$	13.9443	−	10.1311i	0.863129	−	0.627100i
$262$	−5.50000	+	16.9273i	−0.339791	+	1.04577i
$263$	−18.7639			−1.15703			−0.578517	−	0.815670i	$-0.696368\pi$
$263$	−18.7639			−1.15703			−0.578517	+	0.815670i	$0.696368\pi$
$264$	−8.66312	−	0.587785i	−0.533178	−	0.0361757i
$265$	12.9443			0.795160
$266$	−0.527864	+	1.62460i	−0.0323654	+	0.0996105i
$267$	−6.54508	+	4.75528i	−0.400553	+	0.291019i
$268$	0.0729490	+	0.0530006i	0.00445607	+	0.00323752i
$269$	−5.00000	−	15.3884i	−0.304855	−	0.938248i	−0.979731	−	0.200317i	$-0.935803\pi$
$269$	−5.00000	−	15.3884i	−0.304855	−	0.938248i	0.674876	−	0.737931i	$-0.264197\pi$
$270$	−0.854102	−	2.62866i	−0.0519790	−	0.159975i
$271$	−1.61803	−	1.17557i	−0.0982886	−	0.0714108i	0.537555	−	0.843228i	$-0.319348\pi$
$271$	−1.61803	−	1.17557i	−0.0982886	−	0.0714108i	−0.635844	+	0.771818i	$0.719348\pi$
$272$	−1.30902	+	0.951057i	−0.0793708	+	0.0576663i
$273$	5.23607	−	16.1150i	0.316901	−	0.975322i
$274$	4.90983			0.296614
$275$	−8.83688	−	7.38394i	−0.532884	−	0.445268i
$276$	−8.47214			−0.509963
$277$	−3.18034	+	9.78808i	−0.191088	+	0.588109i	0.808912	+	0.587930i	$0.200057\pi$
$277$	−3.18034	+	9.78808i	−0.191088	+	0.588109i	−1.00000		0.000178809i	$0.999943\pi$
$278$		0			0
$279$	−6.23607	−	4.53077i	−0.373344	−	0.271250i
$280$	0.763932	+	2.35114i	0.0456537	+	0.140508i
$281$	−1.51722	−	4.66953i	−0.0905098	−	0.278561i	0.895548	−	0.444966i	$-0.146784\pi$
$281$	−1.51722	−	4.66953i	−0.0905098	−	0.278561i	−0.986057	+	0.166405i	$0.946784\pi$
$282$	−5.23607	−	3.80423i	−0.311803	−	0.226538i
$283$	−19.4164	+	14.1068i	−1.15419	+	0.838565i	−0.989032	−	0.147703i	$-0.952812\pi$
$283$	−19.4164	+	14.1068i	−1.15419	+	0.838565i	−0.165154	+	0.986268i	$0.552812\pi$
$284$	−0.236068	+	0.726543i	−0.0140081	+	0.0431124i
$285$	−2.76393			−0.163721
$286$	4.00000	−	9.95959i	0.236525	−	0.588923i
$287$	−6.76393			−0.399262
$288$	1.19098	−	3.66547i	0.0701793	−	0.215990i
$289$	11.6353	−	8.45351i	0.684427	−	0.497265i
$290$	−4.47214	−	3.24920i	−0.262613	−	0.190799i
$291$	11.2082	+	34.4953i	0.657037	+	2.02215i
$292$	3.89919	+	12.0005i	0.228183	+	0.702274i
$293$	−13.2361	−	9.61657i	−0.773259	−	0.561806i	0.129689	−	0.991555i	$-0.458602\pi$
$293$	−13.2361	−	9.61657i	−0.773259	−	0.561806i	−0.902948	+	0.429749i	$0.858602\pi$
$294$	6.35410	−	4.61653i	0.370579	−	0.269241i
$295$	2.43769	−	7.50245i	0.141928	−	0.436810i
$296$	9.70820			0.564278
$297$	6.28115	−	3.94298i	0.364469	−	0.228795i
$298$	16.1803			0.937302
$299$	3.23607	−	9.95959i	0.187147	−	0.575978i
$300$	7.35410	−	5.34307i	0.424589	−	0.308482i
$301$	18.7082	+	13.5923i	1.07832	+	0.783447i
$302$	−2.47214	−	7.60845i	−0.142255	−	0.437817i
$303$	14.7082	+	45.2672i	0.844964	+	2.60053i
$304$	−0.690983	−	0.502029i	−0.0396306	−	0.0287933i
$305$	6.47214	−	4.70228i	0.370593	−	0.269252i
$306$	1.92705	−	5.93085i	0.110162	−	0.339044i
$307$	3.20163			0.182726			0.0913632	−	0.995818i	$-0.470878\pi$
$307$	3.20163			0.182726			0.0913632	+	0.995818i	$0.470878\pi$
$308$	−5.61803	+	3.52671i	−0.320117	+	0.200953i
$309$	6.00000			0.341328
$310$	−0.763932	+	2.35114i	−0.0433884	+	0.133536i
$311$	25.9443	−	18.8496i	1.47116	−	1.06886i	0.490891	−	0.871221i	$-0.336672\pi$
$311$	25.9443	−	18.8496i	1.47116	−	1.06886i	0.980274	−	0.197642i	$-0.0633285\pi$
$312$	6.85410	+	4.97980i	0.388037	+	0.281925i
$313$	−3.50000	−	10.7719i	−0.197832	−	0.608863i	−0.999932	−	0.0116738i	$-0.996284\pi$
$313$	−3.50000	−	10.7719i	−0.197832	−	0.608863i	0.802100	−	0.597190i	$-0.203716\pi$
$314$	−1.14590	−	3.52671i	−0.0646668	−	0.199024i
$315$	−7.70820	−	5.60034i	−0.434308	−	0.315543i
$316$	10.8541	−	7.88597i	0.610591	−	0.443620i
$317$	3.00000	−	9.23305i	0.168497	−	0.518580i	−0.830780	−	0.556601i	$-0.812105\pi$
$317$	3.00000	−	9.23305i	0.168497	−	0.518580i	0.999277	+	0.0380209i	$0.0121053\pi$
$318$	−27.4164			−1.53744
$319$	5.52786	−	13.7638i	0.309501	−	0.770626i
$320$	−1.23607			−0.0690983
$321$	−6.35410	+	19.5559i	−0.354651	+	1.09150i
$322$	−5.23607	+	3.80423i	−0.291795	+	0.212001i
$323$	−1.11803	−	0.812299i	−0.0622091	−	0.0451975i
$324$	−1.76393	−	5.42882i	−0.0979962	−	0.301601i
$325$	3.47214	+	10.6861i	0.192599	+	0.592760i
$326$	−9.78115	−	7.10642i	−0.541728	−	0.393588i
$327$	−2.23607	+	1.62460i	−0.123655	+	0.0898405i
$328$	1.04508	−	3.21644i	0.0577052	−	0.177598i
$329$	−4.94427			−0.272587
$330$	−8.23607	−	6.88191i	−0.453381	−	0.378837i
$331$	−27.2705			−1.49892			−0.749461	−	0.662048i	$-0.769687\pi$
$331$	−27.2705			−1.49892			−0.749461	+	0.662048i	$0.769687\pi$
$332$	−1.95492	+	6.01661i	−0.107290	+	0.330204i
$333$	−30.2705	+	21.9928i	−1.65881	+	1.20520i
$334$	15.5623	+	11.3067i	0.851531	+	0.618674i
$335$	0.0344419	+	0.106001i	0.00188176	+	0.00579146i
$336$	−1.61803	−	4.97980i	−0.0882710	−	0.271670i
$337$	1.78115	+	1.29408i	0.0970256	+	0.0704932i	0.635240	−	0.772315i	$-0.280901\pi$
$337$	1.78115	+	1.29408i	0.0970256	+	0.0704932i	−0.538215	+	0.842808i	$0.680901\pi$
$338$	2.04508	−	1.48584i	0.111238	−	0.0808191i
$339$	3.92705	−	12.0862i	0.213288	−	0.656433i
$340$	−2.00000			−0.108465
$341$	−6.61803	−	0.449028i	−0.358387	−	0.0243162i
$342$	3.29180			0.178000
$343$	6.18034	−	19.0211i	0.333707	−	1.02704i
$344$	−9.35410	+	6.79615i	−0.504339	+	0.366424i
$345$	−8.47214	−	6.15537i	−0.456124	−	0.331394i
$346$	−4.29180	−	13.2088i	−0.230728	−	0.710109i
$347$	4.44427	+	13.6781i	0.238581	+	0.734277i	0.996626	+	0.0820748i	$0.0261546\pi$
$347$	4.44427	+	13.6781i	0.238581	+	0.734277i	−0.758045	+	0.652202i	$0.773845\pi$
$348$	9.47214	+	6.88191i	0.507760	+	0.368909i
$349$	−23.9443	+	17.3965i	−1.28171	+	0.931215i	−0.999603	−	0.0281687i	$-0.991032\pi$
$349$	−23.9443	+	17.3965i	−1.28171	+	0.931215i	−0.282104	+	0.959384i	$0.591032\pi$
$350$	2.14590	−	6.60440i	0.114703	−	0.353020i
$351$	−7.23607			−0.386233
$352$	−0.809017	−	3.21644i	−0.0431208	−	0.171437i
$353$	30.3820			1.61707			0.808534	−	0.588449i	$-0.200261\pi$
$353$	30.3820			1.61707			0.808534	+	0.588449i	$0.200261\pi$
$354$	−5.16312	+	15.8904i	−0.274417	+	0.844568i
$355$	−0.763932	+	0.555029i	−0.0405453	+	0.0294579i
$356$	−2.50000	−	1.81636i	−0.132500	−	0.0962667i
$357$	−2.61803	−	8.05748i	−0.138561	−	0.426447i
$358$	−1.97214	−	6.06961i	−0.104231	−	0.320789i
$359$	28.4164	+	20.6457i	1.49976	+	1.08964i	0.970477	+	0.241195i	$0.0775394\pi$
$359$	28.4164	+	20.6457i	1.49976	+	1.08964i	0.529284	+	0.848445i	$0.322461\pi$
$360$	3.85410	−	2.80017i	0.203129	−	0.147582i
$361$	−5.64590	+	17.3763i	−0.297153	+	0.914541i
$362$	18.1803			0.955537
$363$	12.5172	−	25.9358i	0.656984	−	1.36128i
$364$	6.47214			0.339232
$365$	−4.81966	+	14.8334i	−0.252273	+	0.776415i
$366$	−13.7082	+	9.95959i	−0.716539	+	0.520596i
$367$	−5.09017	−	3.69822i	−0.265705	−	0.193046i	0.446954	−	0.894557i	$-0.352509\pi$
$367$	−5.09017	−	3.69822i	−0.265705	−	0.193046i	−0.712658	+	0.701511i	$0.752509\pi$
$368$	−1.00000	−	3.07768i	−0.0521286	−	0.160435i
$369$	4.02786	+	12.3965i	0.209682	+	0.645336i
$370$	9.70820	+	7.05342i	0.504705	+	0.366690i
$371$	−16.9443	+	12.3107i	−0.879703	+	0.639141i
$372$	1.61803	−	4.97980i	0.0838912	−	0.258190i
$373$	−17.7082			−0.916896			−0.458448	−	0.888721i	$-0.651594\pi$
$373$	−17.7082			−0.916896			−0.458448	+	0.888721i	$0.651594\pi$
$374$	−1.30902	−	5.20431i	−0.0676877	−	0.269108i
$375$	27.4164			1.41578
$376$	0.763932	−	2.35114i	0.0393968	−	0.121251i
$377$	−11.7082	+	8.50651i	−0.603003	+	0.438107i
$378$	3.61803	+	2.62866i	0.186092	+	0.135203i
$379$	−5.95492	−	18.3273i	−0.305883	−	0.941412i	−0.979346	−	0.202191i	$-0.935194\pi$
$379$	−5.95492	−	18.3273i	−0.305883	−	0.941412i	0.673463	−	0.739221i	$-0.264806\pi$
$380$	−0.326238	−	1.00406i	−0.0167357	−	0.0515070i
$381$	−14.7082	−	10.6861i	−0.753524	−	0.547467i
$382$	−7.47214	+	5.42882i	−0.382308	+	0.277763i
$383$	5.05573	−	15.5599i	0.258336	−	0.795075i	−0.734818	−	0.678264i	$-0.762733\pi$
$383$	5.05573	−	15.5599i	0.258336	−	0.795075i	0.993154	−	0.116812i	$-0.0372673\pi$
$384$	2.61803			0.133601
$385$	−8.18034	−	0.555029i	−0.416909	−	0.0282869i
$386$	−9.41641			−0.479283
$387$	13.7705	−	42.3813i	0.699994	−	2.15436i
$388$	−11.2082	+	8.14324i	−0.569010	+	0.413410i
$389$	−16.7082	−	12.1392i	−0.847140	−	0.615483i	0.0772163	−	0.997014i	$-0.475397\pi$
$389$	−16.7082	−	12.1392i	−0.847140	−	0.615483i	−0.924356	+	0.381531i	$0.875397\pi$
$390$	3.23607	+	9.95959i	0.163865	+	0.504324i
$391$	−1.61803	−	4.97980i	−0.0818275	−	0.251839i
$392$	2.42705	+	1.76336i	0.122585	+	0.0890629i
$393$	37.6976	−	27.3889i	1.90159	−	1.38159i
$394$	−0.944272	+	2.90617i	−0.0475717	+	0.146411i
$395$	16.5836			0.834411
$396$	9.80902	+	8.19624i	0.492922	+	0.411876i
$397$	23.1246			1.16059			0.580295	−	0.814406i	$-0.302937\pi$
$397$	23.1246			1.16059			0.580295	+	0.814406i	$0.302937\pi$
$398$	−0.326238	+	1.00406i	−0.0163528	+	0.0503288i
$399$	3.61803	−	2.62866i	0.181128	−	0.131597i
$400$	2.80902	+	2.04087i	0.140451	+	0.102044i
$401$	2.10081	+	6.46564i	0.104910	+	0.322879i	0.989709	−	0.143093i	$-0.0457049\pi$
$401$	2.10081	+	6.46564i	0.104910	+	0.322879i	−0.884800	+	0.465972i	$0.845705\pi$
$402$	−0.0729490	−	0.224514i	−0.00363837	−	0.0111977i
$403$	5.23607	+	3.80423i	0.260827	+	0.189502i
$404$	−14.7082	+	10.6861i	−0.731760	+	0.531655i
$405$	2.18034	−	6.71040i	0.108342	−	0.333442i
$406$	8.94427			0.443897
$407$	−12.0000	+	29.8788i	−0.594818	+	1.48104i
$408$	4.23607			0.209717
$409$	4.14590	−	12.7598i	0.205001	−	0.630930i	−0.794712	−	0.606987i	$-0.792378\pi$
$409$	4.14590	−	12.7598i	0.205001	−	0.630930i	0.999713	−	0.0239428i	$-0.00762195\pi$
$410$	3.38197	−	2.45714i	0.167023	−	0.121350i
$411$	−10.3992	−	7.55545i	−0.512954	−	0.372683i
$412$	0.708204	+	2.17963i	0.0348907	+	0.107383i
$413$	3.94427	+	12.1392i	0.194085	+	0.597332i
$414$	10.0902	+	7.33094i	0.495905	+	0.360296i
$415$	−6.32624	+	4.59628i	−0.310543	+	0.225623i
$416$	−1.00000	+	3.07768i	−0.0490290	+	0.150896i
$417$		0			0
$418$	2.39919	−	1.50609i	0.117348	−	0.0736651i
$419$	−4.14590			−0.202540			−0.101270	−	0.994859i	$-0.532291\pi$
$419$	−4.14590			−0.202540			−0.101270	+	0.994859i	$0.532291\pi$
$420$	2.00000	−	6.15537i	0.0975900	−	0.300351i
$421$	3.70820	−	2.69417i	0.180727	−	0.131306i	−0.493744	−	0.869607i	$-0.664372\pi$
$421$	3.70820	−	2.69417i	0.180727	−	0.131306i	0.674471	+	0.738302i	$0.264372\pi$
$422$	−4.11803	−	2.99193i	−0.200463	−	0.145645i
$423$	2.94427	+	9.06154i	0.143155	+	0.440587i
$424$	−3.23607	−	9.95959i	−0.157157	−	0.483681i
$425$	4.54508	+	3.30220i	0.220469	+	0.160180i
$426$	1.61803	−	1.17557i	0.0783940	−	0.0569566i
$427$	−4.00000	+	12.3107i	−0.193574	+	0.595758i
$428$	−7.85410			−0.379642
$429$	−23.7984	+	14.9394i	−1.14900	+	0.721281i
$430$	−14.2918			−0.689212
$431$	0.291796	−	0.898056i	0.0140553	−	0.0432578i	−0.943783	−	0.330566i	$-0.892760\pi$
$431$	0.291796	−	0.898056i	0.0140553	−	0.0432578i	0.957838	+	0.287308i	$0.0927604\pi$
$432$	−1.80902	+	1.31433i	−0.0870364	+	0.0632356i
$433$	11.9271	+	8.66551i	0.573177	+	0.416438i	0.836258	−	0.548336i	$-0.184739\pi$
$433$	11.9271	+	8.66551i	0.573177	+	0.416438i	−0.263081	+	0.964774i	$0.584739\pi$
$434$	−1.23607	−	3.80423i	−0.0593332	−	0.182609i
$435$	4.47214	+	13.7638i	0.214423	+	0.659925i
$436$	−0.854102	−	0.620541i	−0.0409041	−	0.0297185i
$437$	2.23607	−	1.62460i	0.106966	−	0.0777151i
$438$	10.2082	−	31.4176i	0.487767	−	1.50119i
$439$	−33.4164			−1.59488			−0.797439	−	0.603399i	$-0.793812\pi$
$439$	−33.4164			−1.59488			−0.797439	+	0.603399i	$0.793812\pi$
$440$	1.52786	−	3.80423i	0.0728381	−	0.181359i
$441$	−11.5623			−0.550586
$442$	−1.61803	+	4.97980i	−0.0769620	+	0.236865i
$443$	−9.35410	+	6.79615i	−0.444427	+	0.322895i	−0.787391	−	0.616453i	$-0.788569\pi$
$443$	−9.35410	+	6.79615i	−0.444427	+	0.322895i	0.342965	+	0.939348i	$0.388569\pi$
$444$	−20.5623	−	14.9394i	−0.975844	−	0.708992i
$445$	−1.18034	−	3.63271i	−0.0559535	−	0.172207i
$446$	3.79837	+	11.6902i	0.179858	+	0.553547i
$447$	−34.2705	−	24.8990i	−1.62094	−	1.17768i
$448$	1.61803	−	1.17557i	0.0764449	−	0.0555405i
$449$	−7.50000	+	23.0826i	−0.353947	+	1.08934i	0.602671	+	0.797990i	$0.294103\pi$
$449$	−7.50000	+	23.0826i	−0.353947	+	1.08934i	−0.956618	+	0.291347i	$0.905897\pi$
$450$	−13.3820			−0.630832
$451$	8.60739	+	7.19218i	0.405306	+	0.338667i
$452$	4.85410			0.228318
$453$	−6.47214	+	19.9192i	−0.304087	+	0.935885i
$454$	19.0172	−	13.8168i	0.892522	−	0.648455i
$455$	6.47214	+	4.70228i	0.303418	+	0.220446i
$456$	0.690983	+	2.12663i	0.0323582	+	0.0995884i
$457$	−9.13525	−	28.1154i	−0.427329	−	1.31518i	−0.900746	−	0.434346i	$-0.856980\pi$
$457$	−9.13525	−	28.1154i	−0.427329	−	1.31518i	0.473417	−	0.880838i	$-0.343020\pi$
$458$	9.47214	+	6.88191i	0.442604	+	0.321571i
$459$	−2.92705	+	2.12663i	−0.136623	+	0.0992624i
$460$	1.23607	−	3.80423i	0.0576320	−	0.177373i
$461$	32.6525			1.52078			0.760389	−	0.649468i	$-0.225008\pi$
$461$	32.6525			1.52078			0.760389	+	0.649468i	$0.225008\pi$
$462$	17.3262	+	1.17557i	0.806090	+	0.0546925i
$463$	7.41641			0.344670			0.172335	−	0.985038i	$-0.444869\pi$
$463$	7.41641			0.344670			0.172335	+	0.985038i	$0.444869\pi$
$464$	−1.38197	+	4.25325i	−0.0641562	+	0.197452i
$465$	5.23607	−	3.80423i	0.242817	−	0.176417i
$466$	5.97214	+	4.33901i	0.276654	+	0.201001i
$467$	9.05573	+	27.8707i	0.419049	+	1.28970i	0.908579	+	0.417714i	$0.137169\pi$
$467$	9.05573	+	27.8707i	0.419049	+	1.28970i	−0.489530	+	0.871987i	$0.662831\pi$
$468$	−3.85410	−	11.8617i	−0.178156	−	0.548308i
$469$	−0.145898	−	0.106001i	−0.00673695	−	0.00489468i
$470$	2.47214	−	1.79611i	0.114031	−	0.0828485i
$471$	−3.00000	+	9.23305i	−0.138233	+	0.425437i
$472$	−6.38197			−0.293754
$473$	−9.35410	−	37.1895i	−0.430102	−	1.70997i
$474$	−35.1246			−1.61333
$475$	−0.916408	+	2.82041i	−0.0420477	+	0.129409i
$476$	2.61803	−	1.90211i	0.119997	−	0.0871832i
$477$	32.6525	+	23.7234i	1.49505	+	1.08622i
$478$	−2.56231	−	7.88597i	−0.117197	−	0.360696i
$479$	−7.88854	−	24.2784i	−0.360437	−	1.10931i	−0.952790	−	0.303632i	$-0.901801\pi$
$479$	−7.88854	−	24.2784i	−0.360437	−	1.10931i	0.592353	−	0.805679i	$-0.298199\pi$
$480$	2.61803	+	1.90211i	0.119496	+	0.0868192i
$481$	25.4164	−	18.4661i	1.15889	−	0.841982i
$482$	0.0278640	−	0.0857567i	0.00126917	−	0.00390611i
$483$	16.9443			0.770991
$484$	10.8992	+	1.48584i	0.495418	+	0.0675382i
$485$	−17.1246			−0.777589
$486$	−6.69098	+	20.5927i	−0.303509	+	0.934105i
$487$	26.4164	−	19.1926i	1.19704	−	0.869702i	0.203051	−	0.979168i	$-0.434914\pi$
$487$	26.4164	−	19.1926i	1.19704	−	0.869702i	0.993990	+	0.109466i	$0.0349142\pi$
$488$	−5.23607	−	3.80423i	−0.237026	−	0.172209i
$489$	9.78115	+	30.1033i	0.442319	+	1.36132i
$490$	1.14590	+	3.52671i	0.0517664	+	0.159321i
$491$	−13.0623	−	9.49032i	−0.589494	−	0.428292i	0.252641	−	0.967560i	$-0.418701\pi$
$491$	−13.0623	−	9.49032i	−0.589494	−	0.428292i	−0.842134	+	0.539268i	$0.818701\pi$
$492$	−7.16312	+	5.20431i	−0.322938	+	0.234628i
$493$	−2.23607	+	6.88191i	−0.100707	+	0.309946i
$494$	−2.76393			−0.124355
$495$	3.85410	+	15.3229i	0.173229	+	0.688713i
$496$	2.00000			0.0898027
$497$	0.472136	−	1.45309i	0.0211782	−	0.0651798i
$498$	13.3992	−	9.73508i	0.600432	−	0.436239i
$499$	19.5344	+	14.1926i	0.874482	+	0.635348i	0.931786	−	0.363009i	$-0.118250\pi$
$499$	19.5344	+	14.1926i	0.874482	+	0.635348i	−0.0573041	+	0.998357i	$0.518250\pi$
$500$	3.23607	+	9.95959i	0.144721	+	0.445407i
$501$	−15.5623	−	47.8959i	−0.695273	−	2.13983i
$502$	−2.47214	−	1.79611i	−0.110337	−	0.0801644i
$503$	−1.00000	+	0.726543i	−0.0445878	+	0.0323949i	−0.609856	−	0.792512i	$-0.708773\pi$
$503$	−1.00000	+	0.726543i	−0.0445878	+	0.0323949i	0.565268	+	0.824907i	$0.308773\pi$
$504$	−2.38197	+	7.33094i	−0.106101	+	0.326546i
$505$	−22.4721			−0.999997
$506$	10.7082	+	0.726543i	0.476038	+	0.0322988i
$507$	−6.61803			−0.293917
$508$	2.14590	−	6.60440i	0.0952088	−	0.293023i
$509$	17.5623	−	12.7598i	0.778436	−	0.565567i	−0.126074	−	0.992021i	$-0.540238\pi$
$509$	17.5623	−	12.7598i	0.778436	−	0.565567i	0.904509	+	0.426454i	$0.140238\pi$
$510$	4.23607	+	3.07768i	0.187576	+	0.136282i
$511$	−7.79837	−	24.0009i	−0.344980	−	1.06174i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	−1.54508	−	1.12257i	−0.0682172	−	0.0495627i
$514$	2.73607	−	1.98787i	0.120683	−	0.0876812i
$515$	−0.875388	+	2.69417i	−0.0385742	+	0.118719i
$516$	30.2705			1.33258
$517$	6.29180	+	5.25731i	0.276713	+	0.231216i
$518$	−19.4164			−0.853108
$519$	−11.2361	+	34.5811i	−0.493209	+	1.51794i
$520$	−3.23607	+	2.35114i	−0.141911	+	0.103104i
$521$	−7.30902	−	5.31031i	−0.320214	−	0.232649i	0.416053	−	0.909340i	$-0.363413\pi$
$521$	−7.30902	−	5.31031i	−0.320214	−	0.232649i	−0.736267	+	0.676691i	$0.763413\pi$
$522$	−5.32624	−	16.3925i	−0.233123	−	0.717479i
$523$	10.4443	+	32.1442i	0.456696	+	1.40557i	0.869132	+	0.494580i	$0.164678\pi$
$523$	10.4443	+	32.1442i	0.456696	+	1.40557i	−0.412436	+	0.910986i	$0.635322\pi$
$524$	14.3992	+	10.4616i	0.629031	+	0.457018i
$525$	−14.7082	+	10.6861i	−0.641919	+	0.466381i
$526$	−5.79837	+	17.8456i	−0.252821	+	0.778103i
$527$	3.23607			0.140965
$528$	−3.23607	+	8.05748i	−0.140832	+	0.350657i
$529$	−12.5279			−0.544690
$530$	4.00000	−	12.3107i	0.173749	−	0.534744i
$531$	19.8992	−	14.4576i	0.863551	−	0.627407i
$532$	1.38197	+	1.00406i	0.0599158	+	0.0435314i
$533$	−3.38197	−	10.4086i	−0.146489	−	0.450847i
$534$	2.50000	+	7.69421i	0.108186	+	0.332961i
$535$	−7.85410	−	5.70634i	−0.339562	−	0.246707i
$536$	0.0729490	−	0.0530006i	0.00315092	−	0.00228928i
$537$	−5.16312	+	15.8904i	−0.222805	+	0.685723i
$538$	−16.1803			−0.697584
$539$	−8.42705	+	5.29007i	−0.362979	+	0.227859i
$540$	−2.76393			−0.118941
$541$	11.4721	−	35.3076i	0.493226	−	1.51799i	−0.326478	−	0.945205i	$-0.605862\pi$
$541$	11.4721	−	35.3076i	0.493226	−	1.51799i	0.819704	−	0.572788i	$-0.194138\pi$
$542$	−1.61803	+	1.17557i	−0.0695005	+	0.0504951i
$543$	−38.5066	−	27.9767i	−1.65248	−	1.20059i
$544$	0.500000	+	1.53884i	0.0214373	+	0.0659773i
$545$	−0.403252	−	1.24108i	−0.0172734	−	0.0531621i
$546$	−13.7082	−	9.95959i	−0.586657	−	0.426231i
$547$	5.92705	−	4.30625i	0.253422	−	0.184122i	−0.453820	−	0.891093i	$-0.649939\pi$
$547$	5.92705	−	4.30625i	0.253422	−	0.184122i	0.707242	+	0.706971i	$0.249939\pi$
$548$	1.51722	−	4.66953i	0.0648125	−	0.199472i
$549$	24.9443			1.06460
$550$	−9.75329	+	6.12261i	−0.415882	+	0.261069i
$551$	−3.81966			−0.162723
$552$	−2.61803	+	8.05748i	−0.111431	+	0.342949i
$553$	−21.7082	+	15.7719i	−0.923127	+	0.670691i
$554$	8.32624	+	6.04937i	0.353748	+	0.257013i
$555$	−9.70820	−	29.8788i	−0.412090	−	1.26828i
$556$		0			0
$557$	−24.8885	−	18.0826i	−1.05456	−	0.766184i	−0.0814869	−	0.996674i	$-0.525967\pi$
$557$	−24.8885	−	18.0826i	−1.05456	−	0.766184i	−0.973075	+	0.230491i	$0.925967\pi$
$558$	−6.23607	+	4.53077i	−0.263994	+	0.191803i
$559$	−11.5623	+	35.5851i	−0.489033	+	1.50509i
$560$	2.47214			0.104467
$561$	−5.23607	+	13.0373i	−0.221067	+	0.550434i
$562$	−4.90983			−0.207109
$563$	0.809017	−	2.48990i	0.0340960	−	0.104937i	−0.932560	−	0.361015i	$-0.882430\pi$
$563$	0.809017	−	2.48990i	0.0340960	−	0.104937i	0.966656	+	0.256078i	$0.0824304\pi$
$564$	−5.23607	+	3.80423i	−0.220478	+	0.160187i
$565$	4.85410	+	3.52671i	0.204214	+	0.148370i
$566$	7.41641	+	22.8254i	0.311735	+	0.959421i
$567$	3.52786	+	10.8576i	0.148156	+	0.455978i
$568$	0.618034	+	0.449028i	0.0259321	+	0.0188408i
$569$	10.6910	−	7.76745i	0.448189	−	0.325629i	−0.340691	−	0.940175i	$-0.610661\pi$
$569$	10.6910	−	7.76745i	0.448189	−	0.325629i	0.788880	+	0.614547i	$0.210661\pi$
$570$	−0.854102	+	2.62866i	−0.0357744	+	0.110102i
$571$	6.47214			0.270850			0.135425	−	0.990788i	$-0.456760\pi$
$571$	6.47214			0.270850			0.135425	+	0.990788i	$0.456760\pi$
$572$	−8.23607	−	6.88191i	−0.344367	−	0.287747i
$573$	24.1803			1.01015
$574$	−2.09017	+	6.43288i	−0.0872420	+	0.268503i
$575$	−9.09017	+	6.60440i	−0.379086	+	0.275422i
$576$	−3.11803	−	2.26538i	−0.129918	−	0.0943910i
$577$	5.50000	+	16.9273i	0.228968	+	0.704691i	0.997865	+	0.0653178i	$0.0208061\pi$
$577$	5.50000	+	16.9273i	0.228968	+	0.704691i	−0.768897	+	0.639373i	$0.779194\pi$
$578$	−4.44427	−	13.6781i	−0.184857	−	0.568932i
$579$	19.9443	+	14.4904i	0.828856	+	0.602199i
$580$	−4.47214	+	3.24920i	−0.185695	+	0.134916i
$581$	3.90983	−	12.0332i	0.162207	−	0.499222i
$582$	36.2705			1.50346
$583$	34.6525	+	2.35114i	1.43516	+	0.0973743i
$584$	12.6180			0.522138
$585$	4.76393	−	14.6619i	0.196964	−	0.606194i
$586$	−13.2361	+	9.61657i	−0.546777	+	0.397257i
$587$	−23.3435	−	16.9600i	−0.963488	−	0.700015i	−0.00952954	−	0.999955i	$-0.503033\pi$
$587$	−23.3435	−	16.9600i	−0.963488	−	0.700015i	−0.953958	+	0.299940i	$0.903033\pi$
$588$	−2.42705	−	7.46969i	−0.100090	−	0.308045i
$589$	0.527864	+	1.62460i	0.0217503	+	0.0669404i
$590$	−6.38197	−	4.63677i	−0.262741	−	0.190893i
$591$	6.47214	−	4.70228i	0.266228	−	0.193426i
$592$	3.00000	−	9.23305i	0.123299	−	0.379476i
$593$	31.6869			1.30123			0.650613	−	0.759410i	$-0.274512\pi$
$593$	31.6869			1.30123			0.650613	+	0.759410i	$0.274512\pi$
$594$	−1.80902	−	7.19218i	−0.0742249	−	0.295099i
$595$	4.00000			0.163984
$596$	5.00000	−	15.3884i	0.204808	−	0.630334i
$597$	2.23607	−	1.62460i	0.0915162	−	0.0664904i
$598$	−8.47214	−	6.15537i	−0.346451	−	0.251712i
$599$	4.14590	+	12.7598i	0.169397	+	0.521350i	0.999333	−	0.0365080i	$-0.0116235\pi$
$599$	4.14590	+	12.7598i	0.169397	+	0.521350i	−0.829937	+	0.557858i	$0.811623\pi$
$600$	−2.80902	−	8.64527i	−0.114678	−	0.352941i
$601$	27.3885	+	19.8989i	1.11720	+	0.811695i	0.983783	−	0.179365i	$-0.0574043\pi$
$601$	27.3885	+	19.8989i	1.11720	+	0.811695i	0.133419	+	0.991060i	$0.457404\pi$
$602$	18.7082	−	13.5923i	0.762489	−	0.553981i
$603$	−0.107391	+	0.330515i	−0.00437329	+	0.0134596i
$604$	−8.00000			−0.325515
$605$	9.81966	+	9.40456i	0.399226	+	0.382350i
$606$	47.5967			1.93349
$607$	−5.29180	+	16.2865i	−0.214787	+	0.661048i	0.784381	+	0.620279i	$0.212981\pi$
$607$	−5.29180	+	16.2865i	−0.214787	+	0.661048i	−0.999169	+	0.0407685i	$0.987019\pi$
$608$	−0.690983	+	0.502029i	−0.0280231	+	0.0203599i
$609$	−18.9443	−	13.7638i	−0.767661	−	0.557738i
$610$	−2.47214	−	7.60845i	−0.100094	−	0.308057i
$611$	−2.47214	−	7.60845i	−0.100012	−	0.307805i
$612$	−5.04508	−	3.66547i	−0.203935	−	0.148168i
$613$	−18.0344	+	13.1028i	−0.728404	+	0.529217i	−0.889058	−	0.457794i	$-0.848640\pi$
$613$	−18.0344	+	13.1028i	−0.728404	+	0.529217i	0.160654	+	0.987011i	$0.448640\pi$
$614$	0.989357	−	3.04493i	0.0399272	−	0.122883i
$615$	−10.9443			−0.441316
$616$	1.61803	+	6.43288i	0.0651924	+	0.259188i
$617$	−32.4508			−1.30642			−0.653211	−	0.757176i	$-0.726579\pi$
$617$	−32.4508			−1.30642			−0.653211	+	0.757176i	$0.726579\pi$
$618$	1.85410	−	5.70634i	0.0745829	−	0.229543i
$619$	−24.1074	+	17.5150i	−0.968958	+	0.703989i	−0.955214	−	0.295916i	$-0.904375\pi$
$619$	−24.1074	+	17.5150i	−0.968958	+	0.703989i	−0.0137440	+	0.999906i	$0.504375\pi$
$620$	2.00000	+	1.45309i	0.0803219	+	0.0583573i
$621$	−2.23607	−	6.88191i	−0.0897303	−	0.276162i
$622$	−9.90983	−	30.4993i	−0.397348	−	1.22291i
$623$	5.00000	+	3.63271i	0.200321	+	0.145542i
$624$	6.85410	−	4.97980i	0.274384	−	0.199351i
$625$	1.36475	−	4.20025i	0.0545898	−	0.168010i
$626$	−11.3262			−0.452688
$627$	−7.39919	−	0.502029i	−0.295495	−	0.0200491i
$628$	−3.70820			−0.147973
$629$	4.85410	−	14.9394i	0.193546	−	0.595672i
$630$	−7.70820	+	5.60034i	−0.307102	+	0.223123i
$631$	−8.32624	−	6.04937i	−0.331462	−	0.240821i	0.409589	−	0.912270i	$-0.365672\pi$
$631$	−8.32624	−	6.04937i	−0.331462	−	0.240821i	−0.741051	+	0.671449i	$0.765672\pi$
$632$	−4.14590	−	12.7598i	−0.164915	−	0.507556i
$633$	4.11803	+	12.6740i	0.163677	+	0.503746i
$634$	−7.85410	−	5.70634i	−0.311926	−	0.226628i
$635$	6.94427	−	5.04531i	0.275575	−	0.200217i
$636$	−8.47214	+	26.0746i	−0.335942	+	1.03392i
$637$	9.70820			0.384653
$638$	−11.3820	−	9.51057i	−0.450616	−	0.376527i
$639$	−2.94427			−0.116474
$640$	−0.381966	+	1.17557i	−0.0150985	+	0.0464685i
$641$	−26.1525	+	19.0009i	−1.03296	+	0.750490i	−0.968899	−	0.247456i	$-0.920405\pi$
$641$	−26.1525	+	19.0009i	−1.03296	+	0.750490i	−0.0640616	+	0.997946i	$0.520405\pi$
$642$	16.6353	+	12.0862i	0.656541	+	0.477005i
$643$	−2.15654	−	6.63715i	−0.0850457	−	0.261744i	0.899486	−	0.436949i	$-0.143941\pi$
$643$	−2.15654	−	6.63715i	−0.0850457	−	0.261744i	−0.984532	+	0.175205i	$0.943941\pi$
$644$	2.00000	+	6.15537i	0.0788110	+	0.242555i
$645$	30.2705	+	21.9928i	1.19190	+	0.865966i
$646$	−1.11803	+	0.812299i	−0.0439885	+	0.0319595i
$647$	14.5066	−	44.6467i	0.570312	−	1.75524i	−0.0813006	−	0.996690i	$-0.525907\pi$
$647$	14.5066	−	44.6467i	0.570312	−	1.75524i	0.651613	−	0.758552i	$-0.274093\pi$
$648$	−5.70820			−0.224239
$649$	7.88854	−	19.6417i	0.309652	−	0.771003i
$650$	11.2361			0.440715
$651$	−3.23607	+	9.95959i	−0.126832	+	0.390347i
$652$	−9.78115	+	7.10642i	−0.383060	+	0.278309i
$653$	37.7426	+	27.4216i	1.47698	+	1.07309i	0.978513	+	0.206185i	$0.0661049\pi$
$653$	37.7426	+	27.4216i	1.47698	+	1.07309i	0.498471	+	0.866906i	$0.333895\pi$
$654$	0.854102	+	2.62866i	0.0333980	+	0.102789i
$655$	6.79837	+	20.9232i	0.265634	+	0.817539i
$656$	−2.73607	−	1.98787i	−0.106826	−	0.0776133i
$657$	−39.3435	+	28.5847i	−1.53493	+	1.11520i
$658$	−1.52786	+	4.70228i	−0.0595623	+	0.183314i
$659$	−28.0902			−1.09424			−0.547119	−	0.837055i	$-0.684275\pi$
$659$	−28.0902			−1.09424			−0.547119	+	0.837055i	$0.684275\pi$
$660$	−9.09017	+	5.70634i	−0.353834	+	0.222119i
$661$	−12.4721			−0.485110			−0.242555	−	0.970138i	$-0.577985\pi$
$661$	−12.4721			−0.485110			−0.242555	+	0.970138i	$0.577985\pi$
$662$	−8.42705	+	25.9358i	−0.327527	+	1.00802i
$663$	11.0902	−	8.05748i	0.430707	−	0.312927i
$664$	5.11803	+	3.71847i	0.198618	+	0.144305i
$665$	0.652476	+	2.00811i	0.0253019	+	0.0778713i
$666$	11.5623	+	35.5851i	0.448030	+	1.37890i
$667$	−11.7082	−	8.50651i	−0.453343	−	0.329373i
$668$	15.5623	−	11.3067i	0.602124	−	0.437468i
$669$	9.94427	−	30.6053i	0.384468	−	1.18327i
$670$	0.111456			0.00430593
$671$	18.1803	−	11.4127i	0.701844	−	0.440582i
$672$	−5.23607			−0.201986
$673$	0.972136	−	2.99193i	0.0374731	−	0.115330i	−0.930570	−	0.366114i	$-0.880688\pi$
$673$	0.972136	−	2.99193i	0.0374731	−	0.115330i	0.968043	+	0.250783i	$0.0806882\pi$
$674$	1.78115	−	1.29408i	0.0686074	−	0.0498462i
$675$	6.28115	+	4.56352i	0.241762	+	0.175650i
$676$	−0.781153	−	2.40414i	−0.0300443	−	0.0924670i
$677$	9.38197	+	28.8747i	0.360578	+	1.10975i	0.952704	+	0.303900i	$0.0982889\pi$
$677$	9.38197	+	28.8747i	0.360578	+	1.10975i	−0.592126	+	0.805846i	$0.701711\pi$
$678$	−10.2812	−	7.46969i	−0.394845	−	0.286872i
$679$	22.4164	−	16.2865i	0.860263	−	0.625017i
$680$	−0.618034	+	1.90211i	−0.0237005	+	0.0729427i
$681$	−61.5410			−2.35826
$682$	−2.47214	+	6.15537i	−0.0946630	+	0.235701i
$683$	9.52786			0.364574			0.182287	−	0.983245i	$-0.441650\pi$
$683$	9.52786			0.364574			0.182287	+	0.983245i	$0.441650\pi$
$684$	1.01722	−	3.13068i	0.0388944	−	0.119705i
$685$	4.90983	−	3.56720i	0.187595	−	0.136296i
$686$	−16.1803	−	11.7557i	−0.617768	−	0.448835i
$687$	−9.47214	−	29.1522i	−0.361385	−	1.11223i
$688$	3.57295	+	10.9964i	0.136217	+	0.419234i
$689$	−27.4164	−	19.9192i	−1.04448	−	0.758861i
$690$	−8.47214	+	6.15537i	−0.322529	+	0.234331i
$691$	7.79180	−	23.9807i	0.296414	−	0.912268i	−0.686329	−	0.727291i	$-0.740779\pi$
$691$	7.79180	−	23.9807i	0.296414	−	0.912268i	0.982743	−	0.184977i	$-0.0592210\pi$
$692$	−13.8885			−0.527963
$693$	−19.6180	−	16.3925i	−0.745227	−	0.622699i
$694$	14.3820			0.545932
$695$		0			0
$696$	9.47214	−	6.88191i	0.359040	−	0.260858i
$697$	−4.42705	−	3.21644i	−0.167687	−	0.121831i
$698$	9.14590	+	28.1482i	0.346177	+	1.06542i
$699$	−5.97214	−	18.3803i	−0.225887	−	0.695208i
$700$	−5.61803	−	4.08174i	−0.212342	−	0.154275i
$701$	−31.4164	+	22.8254i	−1.18658	+	0.862102i	−0.992899	−	0.118962i	$-0.962043\pi$
$701$	−31.4164	+	22.8254i	−1.18658	+	0.862102i	−0.193683	+	0.981064i	$0.562043\pi$
$702$	−2.23607	+	6.88191i	−0.0843949	+	0.259741i
$703$	8.29180			0.312731
$704$	−3.30902	−	0.224514i	−0.124713	−	0.00846169i
$705$	−8.00000			−0.301297
$706$	9.38854	−	28.8950i	0.353343	−	1.08748i
$707$	29.4164	−	21.3723i	1.10632	−	0.803787i
$708$	13.5172	+	9.82084i	0.508008	+	0.369090i
$709$	4.79837	+	14.7679i	0.180207	+	0.554619i	0.999833	−	0.0182794i	$-0.00581885\pi$
$709$	4.79837	+	14.7679i	0.180207	+	0.554619i	−0.819626	+	0.572899i	$0.805819\pi$
$710$	0.291796	+	0.898056i	0.0109509	+	0.0337034i
$711$	41.8328	+	30.3933i	1.56885	+	1.13984i
$712$	−2.50000	+	1.81636i	−0.0936915	+	0.0680708i
$713$	−2.00000	+	6.15537i	−0.0749006	+	0.230520i
$714$	−8.47214			−0.317062
$715$	−3.23607	−	12.8658i	−0.121022	−	0.481152i
$716$	−6.38197			−0.238505
$717$	−6.70820	+	20.6457i	−0.250522	+	0.771029i
$718$	28.4164	−	20.6457i	1.06049	−	0.770492i
$719$	21.7082	+	15.7719i	0.809579	+	0.588194i	0.913709	−	0.406370i	$-0.133206\pi$
$719$	21.7082	+	15.7719i	0.809579	+	0.588194i	−0.104129	+	0.994564i	$0.533206\pi$
$720$	−1.47214	−	4.53077i	−0.0548633	−	0.168852i
$721$	−1.41641	−	4.35926i	−0.0527498	−	0.162347i
$722$	14.7812	+	10.7391i	0.550098	+	0.399669i
$723$	−0.190983	+	0.138757i	−0.00710273	+	0.00516044i
$724$	5.61803	−	17.2905i	0.208793	−	0.642598i
$725$	15.5279			0.576690
$726$	−20.7984	−	19.9192i	−0.771900	−	0.739270i
$727$	43.1246			1.59940			0.799702	−	0.600398i	$-0.204991\pi$
$727$	43.1246			1.59940			0.799702	+	0.600398i	$0.204991\pi$
$728$	2.00000	−	6.15537i	0.0741249	−	0.228133i
$729$	32.0066	−	23.2541i	1.18543	−	0.861264i
$730$	12.6180	+	9.16754i	0.467014	+	0.339306i
$731$	5.78115	+	17.7926i	0.213824	+	0.658082i
$732$	5.23607	+	16.1150i	0.193531	+	0.595626i
$733$	−14.0902	−	10.2371i	−0.520432	−	0.378116i	0.296334	−	0.955084i	$-0.404236\pi$
$733$	−14.0902	−	10.2371i	−0.520432	−	0.378116i	−0.816767	+	0.576968i	$0.804236\pi$
$734$	−5.09017	+	3.69822i	−0.187882	+	0.136504i
$735$	3.00000	−	9.23305i	0.110657	−	0.340566i
$736$	−3.23607			−0.119283
$737$	0.0729490	+	0.290026i	0.00268711	+	0.0106833i
$738$	13.0344			0.479804
$739$	−5.38854	+	16.5842i	−0.198221	+	0.610061i	0.801703	+	0.597722i	$0.203928\pi$
$739$	−5.38854	+	16.5842i	−0.198221	+	0.610061i	−0.999924	+	0.0123384i	$0.996072\pi$
$740$	9.70820	−	7.05342i	0.356881	−	0.259289i
$741$	5.85410	+	4.25325i	0.215056	+	0.156247i
$742$	6.47214	+	19.9192i	0.237600	+	0.731256i
$743$	−4.09017	−	12.5882i	−0.150054	−	0.461818i	0.847572	−	0.530680i	$-0.178063\pi$
$743$	−4.09017	−	12.5882i	−0.150054	−	0.461818i	−0.997626	+	0.0688617i	$0.978063\pi$
$744$	−4.23607	−	3.07768i	−0.155302	−	0.112833i
$745$	16.1803	−	11.7557i	0.592802	−	0.430696i
$746$	−5.47214	+	16.8415i	−0.200349	+	0.616611i
$747$	−24.3820			−0.892089
$748$	−5.35410	−	0.363271i	−0.195765	−	0.0132825i
$749$	15.7082			0.573965
$750$	8.47214	−	26.0746i	0.309359	−	0.952108i
$751$	−30.5623	+	22.2048i	−1.11523	+	0.810265i	−0.983480	−	0.181017i	$-0.942061\pi$
$751$	−30.5623	+	22.2048i	−1.11523	+	0.810265i	−0.131754	+	0.991282i	$0.542061\pi$
$752$	−2.00000	−	1.45309i	−0.0729325	−	0.0529886i
$753$	2.47214	+	7.60845i	0.0900896	+	0.277267i
$754$	4.47214	+	13.7638i	0.162866	+	0.501249i
$755$	−8.00000	−	5.81234i	−0.291150	−	0.211533i
$756$	3.61803	−	2.62866i	0.131587	−	0.0956033i
$757$	8.85410	−	27.2501i	0.321808	−	0.990423i	−0.651053	−	0.759032i	$-0.725673\pi$
$757$	8.85410	−	27.2501i	0.321808	−	0.990423i	0.972861	−	0.231390i	$-0.0743275\pi$
$758$	−19.2705			−0.699936
$759$	−21.5623	−	18.0171i	−0.782662	−	0.653978i
$760$	−1.05573			−0.0382953
$761$	−14.4443	+	44.4549i	−0.523604	+	1.61149i	0.243455	+	0.969912i	$0.421719\pi$
$761$	−14.4443	+	44.4549i	−0.523604	+	1.61149i	−0.767059	+	0.641576i	$0.778281\pi$
$762$	−14.7082	+	10.6861i	−0.532822	+	0.387118i
$763$	1.70820	+	1.24108i	0.0618411	+	0.0449302i
$764$	2.85410	+	8.78402i	0.103258	+	0.317795i
$765$	−2.38197	−	7.33094i	−0.0861202	−	0.265051i
$766$	−13.2361	−	9.61657i	−0.478239	−	0.347461i
$767$	−16.7082	+	12.1392i	−0.603298	+	0.438322i
$768$	0.809017	−	2.48990i	0.0291929	−	0.0898465i
$769$	−13.4164			−0.483808			−0.241904	−	0.970300i	$-0.577772\pi$
$769$	−13.4164			−0.483808			−0.241904	+	0.970300i	$0.577772\pi$
$770$	−3.05573	+	7.60845i	−0.110121	+	0.274190i
$771$	−8.85410			−0.318873
$772$	−2.90983	+	8.95554i	−0.104727	+	0.322317i
$773$	−25.7984	+	18.7436i	−0.927903	+	0.674161i	−0.945478	−	0.325685i	$-0.894405\pi$
$773$	−25.7984	+	18.7436i	−0.927903	+	0.674161i	0.0175755	+	0.999846i	$0.494405\pi$
$774$	−36.0517	−	26.1931i	−1.29585	−	0.941490i
$775$	−2.14590	−	6.60440i	−0.0770829	−	0.237237i
$776$	4.28115	+	13.1760i	0.153684	+	0.472992i
$777$	41.1246	+	29.8788i	1.47534	+	1.07190i
$778$	−16.7082	+	12.1392i	−0.599018	+	0.435212i
$779$	0.892609	−	2.74717i	0.0319810	−	0.0984275i
$780$	10.4721			0.374963
$781$	−2.14590	+	1.34708i	−0.0767863	+	0.0482025i
$782$	−5.23607			−0.187241
$783$	−3.09017	+	9.51057i	−0.110434	+	0.339880i
$784$	2.42705	−	1.76336i	0.0866804	−	0.0629770i
$785$	−3.70820	−	2.69417i	−0.132351	−	0.0961590i
$786$	−14.3992	−	44.3161i	−0.513602	−	1.58070i
$787$	−7.79180	−	23.9807i	−0.277748	−	0.854819i	−0.988479	−	0.151356i	$-0.951636\pi$
$787$	−7.79180	−	23.9807i	−0.277748	−	0.854819i	0.710732	−	0.703463i	$-0.248364\pi$
$788$	2.47214	+	1.79611i	0.0880662	+	0.0639838i
$789$	39.7426	−	28.8747i	1.41488	−	1.02797i
$790$	5.12461	−	15.7719i	0.182326	−	0.561140i
$791$	−9.70820			−0.345184
$792$	10.8262	−	6.79615i	0.384694	−	0.241491i
$793$	−20.9443			−0.743753
$794$	7.14590	−	21.9928i	0.253598	−	0.780496i
$795$	−27.4164	+	19.9192i	−0.972360	+	0.706461i
$796$	0.854102	+	0.620541i	0.0302728	+	0.0219945i
$797$	−9.03444	−	27.8052i	−0.320016	−	0.984909i	−0.973640	−	0.228089i	$-0.926752\pi$
$797$	−9.03444	−	27.8052i	−0.320016	−	0.984909i	0.653624	−	0.756820i	$-0.273248\pi$
$798$	−1.38197	−	4.25325i	−0.0489211	−	0.150564i
$799$	−3.23607	−	2.35114i	−0.114484	−	0.0831774i
$800$	2.80902	−	2.04087i	0.0993137	−	0.0721557i
$801$	3.68034	−	11.3269i	0.130038	−	0.400217i
$802$	6.79837			0.240059
$803$	−15.5967	+	38.8343i	−0.550397	+	1.37043i
$804$	−0.236068			−0.00832548
$805$	−2.47214	+	7.60845i	−0.0871313	+	0.268163i
$806$	5.23607	−	3.80423i	0.184433	−	0.133998i
$807$	34.2705	+	24.8990i	1.20638	+	0.876486i
$808$	5.61803	+	17.2905i	0.197642	+	0.608279i
$809$	8.68034	+	26.7153i	0.305184	+	0.939261i	0.979608	+	0.200917i	$0.0643921\pi$
$809$	8.68034	+	26.7153i	0.305184	+	0.939261i	−0.674424	+	0.738344i	$0.735608\pi$
$810$	−5.70820	−	4.14725i	−0.200566	−	0.145720i
$811$	−8.59017	+	6.24112i	−0.301642	+	0.219155i	−0.728302	−	0.685257i	$-0.759690\pi$
$811$	−8.59017	+	6.24112i	−0.301642	+	0.219155i	0.426660	+	0.904412i	$0.359690\pi$
$812$	2.76393	−	8.50651i	0.0969950	−	0.298520i
$813$	5.23607			0.183637
$814$	24.7082	+	20.6457i	0.866022	+	0.723632i
$815$	−14.9443			−0.523475
$816$	1.30902	−	4.02874i	0.0458248	−	0.141034i
$817$	−7.98936	+	5.80461i	−0.279512	+	0.203078i
$818$	−10.8541	−	7.88597i	−0.379505	−	0.275726i
$819$	7.70820	+	23.7234i	0.269346	+	0.828963i
$820$	−1.29180	−	3.97574i	−0.0451115	−	0.138839i
$821$	29.5623	+	21.4783i	1.03173	+	0.749597i	0.968655	−	0.248412i	$-0.0799086\pi$
$821$	29.5623	+	21.4783i	1.03173	+	0.749597i	0.0630771	+	0.998009i	$0.479909\pi$
$822$	−10.3992	+	7.55545i	−0.362713	+	0.263527i
$823$	−7.90983	+	24.3440i	−0.275719	+	0.848577i	0.713309	+	0.700850i	$0.247196\pi$
$823$	−7.90983	+	24.3440i	−0.275719	+	0.848577i	−0.989028	+	0.147727i	$0.952804\pi$
$824$	2.29180			0.0798385
$825$	30.0795	+	2.04087i	1.04723	+	0.0710540i
$826$	12.7639			0.444114
$827$	12.8607	−	39.5811i	0.447210	−	1.37637i	−0.432833	−	0.901474i	$-0.642486\pi$
$827$	12.8607	−	39.5811i	0.447210	−	1.37637i	0.880042	−	0.474895i	$-0.157514\pi$
$828$	10.0902	−	7.33094i	0.350658	−	0.254768i
$829$	−39.5967	−	28.7687i	−1.37525	−	0.999179i	−0.997306	−	0.0733512i	$-0.976631\pi$
$829$	−39.5967	−	28.7687i	−1.37525	−	0.999179i	−0.377946	−	0.925828i	$-0.623369\pi$
$830$	2.41641	+	7.43694i	0.0838747	+	0.258140i
$831$	−8.32624	−	25.6255i	−0.288834	−	0.888940i
$832$	2.61803	+	1.90211i	0.0907640	+	0.0659439i
$833$	3.92705	−	2.85317i	0.136064	−	0.0988565i
$834$		0			0
$835$	23.7771			0.822840
$836$	−0.690983	−	2.74717i	−0.0238981	−	0.0950128i
$837$	4.47214			0.154580
$838$	−1.28115	+	3.94298i	−0.0442567	+	0.136208i
$839$	−38.7426	+	28.1482i	−1.33754	+	0.971783i	−0.338014	+	0.941141i	$0.609755\pi$
$839$	−38.7426	+	28.1482i	−1.33754	+	0.971783i	−0.999530	+	0.0306421i	$0.990245\pi$
$840$	−5.23607	−	3.80423i	−0.180662	−	0.131258i
$841$	−2.78115	−	8.55951i	−0.0959018	−	0.295155i
$842$	−1.41641	−	4.35926i	−0.0488126	−	0.150230i
$843$	10.3992	+	7.55545i	0.358167	+	0.260224i
$844$	−4.11803	+	2.99193i	−0.141749	+	0.102986i
$845$	0.965558	−	2.97168i	0.0332162	−	0.102229i
$846$	9.52786			0.327575
$847$	−21.7984	−	2.97168i	−0.749001	−	0.102108i
$848$	−10.4721			−0.359615
$849$	19.4164	−	59.7576i	0.666369	−	2.05087i
$850$	4.54508	−	3.30220i	0.155895	−	0.113264i
$851$	25.4164	+	18.4661i	0.871263	+	0.633010i
$852$	−0.618034	−	1.90211i	−0.0211735	−	0.0651653i
$853$	−6.65248	−	20.4742i	−0.227776	−	0.701024i	−0.997998	−	0.0632472i	$-0.979854\pi$
$853$	−6.65248	−	20.4742i	−0.227776	−	0.701024i	0.770221	−	0.637777i	$-0.220146\pi$
$854$	10.4721	+	7.60845i	0.358349	+	0.260356i
$855$	3.29180	−	2.39163i	0.112577	−	0.0817920i
$856$	−2.42705	+	7.46969i	−0.0829549	+	0.255309i
$857$	31.7426			1.08431			0.542154	−	0.840279i	$-0.317609\pi$
$857$	31.7426			1.08431			0.542154	+	0.840279i	$0.317609\pi$
$858$	6.85410	+	27.2501i	0.233995	+	0.930304i
$859$	8.49342			0.289792			0.144896	−	0.989447i	$-0.453715\pi$
$859$	8.49342			0.289792			0.144896	+	0.989447i	$0.453715\pi$
$860$	−4.41641	+	13.5923i	−0.150598	+	0.463494i
$861$	14.3262	−	10.4086i	0.488237	−	0.354725i
$862$	−0.763932	−	0.555029i	−0.0260196	−	0.0189044i
$863$	−8.88854	−	27.3561i	−0.302570	−	0.931213i	−0.980573	−	0.196155i	$-0.937155\pi$
$863$	−8.88854	−	27.3561i	−0.302570	−	0.931213i	0.678003	−	0.735059i	$-0.262845\pi$
$864$	0.690983	+	2.12663i	0.0235077	+	0.0723493i
$865$	−13.8885	−	10.0906i	−0.472225	−	0.343091i
$866$	11.9271	−	8.66551i	0.405298	−	0.294466i
$867$	−11.6353	+	35.8096i	−0.395154	+	1.21616i
$868$	−4.00000			−0.135769
$869$	44.3951	+	3.01217i	1.50600	+	0.102181i
$870$	14.4721			0.490651
$871$	0.0901699	−	0.277515i	0.00305529	−	0.00940322i
$872$	−0.854102	+	0.620541i	−0.0289235	+	0.0210142i
$873$	−43.1976	−	31.3849i	−1.46202	−	1.06222i
$874$	−0.854102	−	2.62866i	−0.0288904	−	0.0889156i
$875$	−6.47214	−	19.9192i	−0.218798	−	0.673391i
$876$	−26.7254	−	19.4172i	−0.902968	−	0.656045i
$877$	4.70820	−	3.42071i	0.158985	−	0.115509i	−0.505449	−	0.862857i	$-0.668673\pi$
$877$	4.70820	−	3.42071i	0.158985	−	0.115509i	0.664433	+	0.747348i	$0.268673\pi$
$878$	−10.3262	+	31.7809i	−0.348494	+	1.07255i
$879$	42.8328			1.44472
$880$	−3.14590	−	2.62866i	−0.106048	−	0.0886120i
$881$	45.3394			1.52752			0.763761	−	0.645499i	$-0.223350\pi$
$881$	45.3394			1.52752			0.763761	+	0.645499i	$0.223350\pi$
$882$	−3.57295	+	10.9964i	−0.120307	+	0.370268i
$883$	19.0623	−	13.8496i	0.641498	−	0.466075i	−0.218867	−	0.975755i	$-0.570236\pi$
$883$	19.0623	−	13.8496i	0.641498	−	0.466075i	0.860364	+	0.509679i	$0.170236\pi$
$884$	4.23607	+	3.07768i	0.142474	+	0.103514i
$885$	6.38197	+	19.6417i	0.214527	+	0.660248i
$886$	3.57295	+	10.9964i	0.120036	+	0.369431i
$887$	−27.3262	−	19.8537i	−0.917525	−	0.666621i	0.0253815	−	0.999678i	$-0.491920\pi$
$887$	−27.3262	−	19.8537i	−0.917525	−	0.666621i	−0.942907	+	0.333057i	$0.891920\pi$
$888$	−20.5623	+	14.9394i	−0.690026	+	0.501333i
$889$	−4.29180	+	13.2088i	−0.143942	+	0.443009i
$890$	−3.81966			−0.128035
$891$	7.05573	−	17.5680i	0.236376	−	0.588552i
$892$	12.2918			0.411560
$893$	0.652476	−	2.00811i	0.0218343	−	0.0671990i
$894$	−34.2705	+	24.8990i	−1.14618	+	0.832747i
$895$	−6.38197	−	4.63677i	−0.213326	−	0.154990i
$896$	−0.618034	−	1.90211i	−0.0206471	−	0.0635451i
$897$	8.47214	+	26.0746i	0.282876	+	0.870604i
$898$	19.6353	+	14.2658i	0.655237	+	0.476058i
$899$	7.23607	−	5.25731i	0.241336	−	0.175341i
$900$	−4.13525	+	12.7270i	−0.137842	+	0.424234i
$901$	−16.9443			−0.564496
$902$	9.50000	−	5.96361i	0.316315	−	0.198566i
$903$	−60.5410			−2.01468
$904$	1.50000	−	4.61653i	0.0498893	−	0.153543i
$905$	18.1803	−	13.2088i	0.604335	−	0.439075i
$906$	16.9443	+	12.3107i	0.562936	+	0.408997i
$907$	9.44427	+	29.0665i	0.313592	+	0.965137i	0.976330	+	0.216286i	$0.0693942\pi$
$907$	9.44427	+	29.0665i	0.313592	+	0.965137i	−0.662738	+	0.748851i	$0.730606\pi$
$908$	−7.26393	−	22.3561i	−0.241062	−	0.741913i
$909$	−56.6869	−	41.1855i	−1.88019	−	1.36604i
$910$	6.47214	−	4.70228i	0.214549	−	0.155879i
$911$	−1.29180	+	3.97574i	−0.0427991	+	0.131722i	−0.970173	−	0.242414i	$-0.922061\pi$
$911$	−1.29180	+	3.97574i	−0.0427991	+	0.131722i	0.927374	+	0.374136i	$0.122061\pi$
$912$	2.23607			0.0740436
$913$	−17.7705	+	11.1554i	−0.588118	+	0.369190i
$914$	−29.5623			−0.977834
$915$	−6.47214	+	19.9192i	−0.213962	+	0.658508i
$916$	9.47214	−	6.88191i	0.312968	−	0.227385i
$917$	−28.7984	−	20.9232i	−0.951006	−	0.690946i
$918$	1.11803	+	3.44095i	0.0369006	+	0.113568i
$919$	5.12461	+	15.7719i	0.169045	+	0.520268i	0.999312	−	0.0370989i	$-0.0118117\pi$
$919$	5.12461	+	15.7719i	0.169045	+	0.520268i	−0.830266	+	0.557367i	$0.811812\pi$
$920$	−3.23607	−	2.35114i	−0.106690	−	0.0775148i
$921$	−6.78115	+	4.92680i	−0.223447	+	0.162343i
$922$	10.0902	−	31.0543i	0.332302	−	1.02272i
$923$	2.47214			0.0813713
$924$	6.47214	−	16.1150i	0.212918	−	0.530143i
$925$	−33.7082			−1.10832
$926$	2.29180	−	7.05342i	0.0753131	−	0.231790i
$927$	−7.14590	+	5.19180i	−0.234702	+	0.170521i
$928$	3.61803	+	2.62866i	0.118768	+	0.0862898i
$929$	−18.1525	−	55.8676i	−0.595563	−	1.83296i	−0.551901	−	0.833909i	$-0.686098\pi$
$929$	−18.1525	−	55.8676i	−0.595563	−	1.83296i	−0.0436620	−	0.999046i	$-0.513902\pi$
$930$	−2.00000	−	6.15537i	−0.0655826	−	0.201842i
$931$	2.07295	+	1.50609i	0.0679382	+	0.0493600i
$932$	5.97214	−	4.33901i	0.195624	−	0.142129i
$933$	−25.9443	+	79.8483i	−0.849377	+	2.61411i
$934$	29.3050			0.958887
$935$	−5.09017	−	4.25325i	−0.166466	−	0.139096i
$936$	−12.4721			−0.407665
$937$	−9.62461	+	29.6215i	−0.314422	+	0.967693i	0.661569	+	0.749884i	$0.269891\pi$
$937$	−9.62461	+	29.6215i	−0.314422	+	0.967693i	−0.975992	+	0.217808i	$0.930109\pi$
$938$	−0.145898	+	0.106001i	−0.00476374	+	0.00346106i
$939$	23.9894	+	17.4293i	0.782863	+	0.568783i
$940$	−0.944272	−	2.90617i	−0.0307988	−	0.0947888i
$941$	7.97871	+	24.5560i	0.260099	+	0.800501i	0.992782	+	0.119932i	$0.0382676\pi$
$941$	7.97871	+	24.5560i	0.260099	+	0.800501i	−0.732684	+	0.680570i	$0.761732\pi$
$942$	7.85410	+	5.70634i	0.255900	+	0.185923i
$943$	8.85410	−	6.43288i	0.288329	−	0.209483i
$944$	−1.97214	+	6.06961i	−0.0641876	+	0.197549i
$945$	5.52786			0.179821
$946$	−38.2599	−	2.59590i	−1.24394	−	0.0844000i
$947$	21.2148			0.689388			0.344694	−	0.938715i	$-0.387983\pi$
$947$	21.2148			0.689388			0.344694	+	0.938715i	$0.387983\pi$
$948$	−10.8541	+	33.4055i	−0.352525	+	1.08496i
$949$	33.0344	−	24.0009i	1.07234	−	0.779103i
$950$	2.39919	+	1.74311i	0.0778399	+	0.0565540i
$951$	7.85410	+	24.1724i	0.254687	+	0.783845i
$952$	−1.00000	−	3.07768i	−0.0324102	−	0.0997483i
$953$	−3.50000	−	2.54290i	−0.113376	−	0.0823726i	0.529652	−	0.848215i	$-0.322322\pi$
$953$	−3.50000	−	2.54290i	−0.113376	−	0.0823726i	−0.643029	+	0.765842i	$0.722322\pi$
$954$	32.6525	−	23.7234i	1.05716	−	0.768074i
$955$	−3.52786	+	10.8576i	−0.114159	+	0.351345i
$956$	−8.29180			−0.268176
$957$	9.47214	+	37.6587i	0.306191	+	1.21733i
$958$	−25.5279			−0.824768
$959$	−3.03444	+	9.33905i	−0.0979872	+	0.301574i
$960$	2.61803	−	1.90211i	0.0844967	−	0.0613904i
$961$	21.8435	+	15.8702i	0.704628	+	0.511942i
$962$	−9.70820	−	29.8788i	−0.313005	−	0.963331i
$963$	−9.35410	−	28.7890i	−0.301432	−	0.927711i
$964$	−0.0729490	−	0.0530006i	−0.00234953	−	0.00170703i
$965$	−9.41641	+	6.84142i	−0.303125	+	0.220233i
$966$	5.23607	−	16.1150i	0.168468	−	0.518490i
$967$	38.0000			1.22200			0.610999	−	0.791632i	$-0.290768\pi$
$967$	38.0000			1.22200			0.610999	+	0.791632i	$0.290768\pi$
$968$	4.78115	−	9.90659i	0.153672	−	0.318410i
$969$	3.61803			0.116228
$970$	−5.29180	+	16.2865i	−0.169909	+	0.522927i
$971$	37.1246	−	26.9726i	1.19139	−	0.865592i	0.197975	−	0.980207i	$-0.436563\pi$
$971$	37.1246	−	26.9726i	1.19139	−	0.865592i	0.993410	+	0.114615i	$0.0365634\pi$
$972$	17.5172	+	12.7270i	0.561865	+	0.408219i
$973$		0			0
$974$	−10.0902	−	31.0543i	−0.323310	−	0.995046i
$975$	−23.7984	−	17.2905i	−0.762158	−	0.553740i
$976$	−5.23607	+	3.80423i	−0.167602	+	0.121770i
$977$	5.96556	−	18.3601i	0.190855	−	0.587392i	−0.809145	−	0.587609i	$-0.800069\pi$
$977$	5.96556	−	18.3601i	0.190855	−	0.587392i	1.00000		0.000217575i	$6.92562e-5\pi$
$978$	31.6525			1.01213
$979$	−2.50000	−	9.93935i	−0.0799003	−	0.317663i
$980$	3.70820			0.118454
$981$	1.25735	−	3.86974i	0.0401442	−	0.123551i
$982$	−13.0623	+	9.49032i	−0.416835	+	0.302848i
$983$	4.85410	+	3.52671i	0.154822	+	0.112485i	0.662499	−	0.749063i	$-0.269496\pi$
$983$	4.85410	+	3.52671i	0.154822	+	0.112485i	−0.507677	+	0.861547i	$0.669496\pi$
$984$	2.73607	+	8.42075i	0.0872227	+	0.268444i
$985$	1.16718	+	3.59222i	0.0371896	+	0.114458i
$986$	5.85410	+	4.25325i	0.186433	+	0.135451i
$987$	10.4721	−	7.60845i	0.333332	−	0.242180i
$988$	−0.854102	+	2.62866i	−0.0271726	+	0.0836287i
$989$	−37.4164			−1.18977
$990$	15.7639	+	1.06957i	0.501011	+	0.0339931i
$991$	−36.5410			−1.16076			−0.580382	−	0.814344i	$-0.697097\pi$
$991$	−36.5410			−1.16076			−0.580382	+	0.814344i	$0.697097\pi$
$992$	0.618034	−	1.90211i	0.0196226	−	0.0603921i
$993$	57.7599	−	41.9650i	1.83295	−	1.33172i
$994$	−1.23607	−	0.898056i	−0.0392057	−	0.0284846i
$995$	0.403252	+	1.24108i	0.0127840	+	0.0393450i
$996$	−5.11803	−	15.7517i	−0.162171	−	0.499111i
$997$	18.3262	+	13.3148i	0.580398	+	0.421684i	0.838867	−	0.544336i	$-0.183218\pi$
$997$	18.3262	+	13.3148i	0.580398	+	0.421684i	−0.258470	+	0.966019i	$0.583218\pi$
$998$	19.5344	−	14.1926i	0.618352	−	0.449259i
$999$	6.70820	−	20.6457i	0.212238	−	0.653202i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	22.2.c.a.9.1	yes	4
3.2	odd	2		198.2.f.e.163.1		4
4.3	odd	2		176.2.m.c.97.1		4
5.2	odd	4		550.2.ba.c.449.2		8
5.3	odd	4		550.2.ba.c.449.1		8
5.4	even	2		550.2.h.h.251.1		4
8.3	odd	2		704.2.m.a.449.1		4
8.5	even	2		704.2.m.h.449.1		4
11.2	odd	10		242.2.c.d.3.1		4
11.3	even	5		242.2.c.a.81.1		4
11.4	even	5		242.2.a.f.1.2		2
11.5	even	5	inner	22.2.c.a.5.1	✓	4
11.6	odd	10		242.2.c.c.27.1		4
11.7	odd	10		242.2.a.d.1.2		2
11.8	odd	10		242.2.c.d.81.1		4
11.9	even	5		242.2.c.a.3.1		4
11.10	odd	2		242.2.c.c.9.1		4
33.5	odd	10		198.2.f.e.181.1		4
33.26	odd	10		2178.2.a.p.1.2		2
33.29	even	10		2178.2.a.x.1.2		2
44.7	even	10		1936.2.a.n.1.1		2
44.15	odd	10		1936.2.a.o.1.1		2
44.27	odd	10		176.2.m.c.49.1		4
55.4	even	10		6050.2.a.bs.1.1		2
55.27	odd	20		550.2.ba.c.49.1		8
55.29	odd	10		6050.2.a.ci.1.1		2
55.38	odd	20		550.2.ba.c.49.2		8
55.49	even	10		550.2.h.h.401.1		4
88.5	even	10		704.2.m.h.577.1		4
88.27	odd	10		704.2.m.a.577.1		4
88.29	odd	10		7744.2.a.bn.1.1		2
88.37	even	10		7744.2.a.bm.1.1		2
88.51	even	10		7744.2.a.cy.1.2		2
88.59	odd	10		7744.2.a.cz.1.2		2

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
22.2.c.a.5.1	✓	4	11.5	even	5	inner
22.2.c.a.9.1	yes	4	1.1	even	1	trivial
176.2.m.c.49.1		4	44.27	odd	10
176.2.m.c.97.1		4	4.3	odd	2
198.2.f.e.163.1		4	3.2	odd	2
198.2.f.e.181.1		4	33.5	odd	10
242.2.a.d.1.2		2	11.7	odd	10
242.2.a.f.1.2		2	11.4	even	5
242.2.c.a.3.1		4	11.9	even	5
242.2.c.a.81.1		4	11.3	even	5
242.2.c.c.9.1		4	11.10	odd	2
242.2.c.c.27.1		4	11.6	odd	10
242.2.c.d.3.1		4	11.2	odd	10
242.2.c.d.81.1		4	11.8	odd	10
550.2.h.h.251.1		4	5.4	even	2
550.2.h.h.401.1		4	55.49	even	10
550.2.ba.c.49.1		8	55.27	odd	20
550.2.ba.c.49.2		8	55.38	odd	20
550.2.ba.c.449.1		8	5.3	odd	4
550.2.ba.c.449.2		8	5.2	odd	4
704.2.m.a.449.1		4	8.3	odd	2
704.2.m.a.577.1		4	88.27	odd	10
704.2.m.h.449.1		4	8.5	even	2
704.2.m.h.577.1		4	88.5	even	10
1936.2.a.n.1.1		2	44.7	even	10
1936.2.a.o.1.1		2	44.15	odd	10
2178.2.a.p.1.2		2	33.26	odd	10
2178.2.a.x.1.2		2	33.29	even	10
6050.2.a.bs.1.1		2	55.4	even	10
6050.2.a.ci.1.1		2	55.29	odd	10
7744.2.a.bm.1.1		2	88.37	even	10
7744.2.a.bn.1.1		2	88.29	odd	10
7744.2.a.cy.1.2		2	88.51	even	10
7744.2.a.cz.1.2		2	88.59	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:	\( N \)	\(=\)	\( 22 = 2 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	22.c (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(-2.11803 + 1.53884i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.381966 - 1.17557i) q^{5} +(0.809017 + 2.48990i) q^{6} +(1.61803 + 1.17557i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.19098 - 3.66547i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(-2.11803 + 1.53884i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.381966 - 1.17557i) q^{5} +(0.809017 + 2.48990i) q^{6} +(1.61803 + 1.17557i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(1.19098 - 3.66547i) q^{9} -1.23607 q^{10} +(-0.809017 - 3.21644i) q^{11} +2.61803 q^{12} +(-1.00000 + 3.07768i) q^{13} +(1.61803 - 1.17557i) q^{14} +(2.61803 + 1.90211i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.500000 + 1.53884i) q^{17} +(-3.11803 - 2.26538i) q^{18} +(-0.690983 + 0.502029i) q^{19} +(-0.381966 + 1.17557i) q^{20} -5.23607 q^{21} +(-3.30902 - 0.224514i) q^{22} -3.23607 q^{23} +(0.809017 - 2.48990i) q^{24} +(2.80902 - 2.04087i) q^{25} +(2.61803 + 1.90211i) q^{26} +(0.690983 + 2.12663i) q^{27} +(-0.618034 - 1.90211i) q^{28} +(3.61803 + 2.62866i) q^{29} +(2.61803 - 1.90211i) q^{30} +(0.618034 - 1.90211i) q^{31} +1.00000 q^{32} +(6.66312 + 5.56758i) q^{33} +1.61803 q^{34} +(0.763932 - 2.35114i) q^{35} +(-3.11803 + 2.26538i) q^{36} +(-7.85410 - 5.70634i) q^{37} +(0.263932 + 0.812299i) q^{38} +(-2.61803 - 8.05748i) q^{39} +(1.00000 + 0.726543i) q^{40} +(-2.73607 + 1.98787i) q^{41} +(-1.61803 + 4.97980i) q^{42} +11.5623 q^{43} +(-1.23607 + 3.07768i) q^{44} -4.76393 q^{45} +(-1.00000 + 3.07768i) q^{46} +(-2.00000 + 1.45309i) q^{47} +(-2.11803 - 1.53884i) q^{48} +(-0.927051 - 2.85317i) q^{49} +(-1.07295 - 3.30220i) q^{50} +(-3.42705 - 2.48990i) q^{51} +(2.61803 - 1.90211i) q^{52} +(-3.23607 + 9.95959i) q^{53} +2.23607 q^{54} +(-3.47214 + 2.17963i) q^{55} -2.00000 q^{56} +(0.690983 - 2.12663i) q^{57} +(3.61803 - 2.62866i) q^{58} +(5.16312 + 3.75123i) q^{59} +(-1.00000 - 3.07768i) q^{60} +(2.00000 + 6.15537i) q^{61} +(-1.61803 - 1.17557i) q^{62} +(6.23607 - 4.53077i) q^{63} +(0.309017 - 0.951057i) q^{64} +4.00000 q^{65} +(7.35410 - 4.61653i) q^{66} -0.0901699 q^{67} +(0.500000 - 1.53884i) q^{68} +(6.85410 - 4.97980i) q^{69} +(-2.00000 - 1.45309i) q^{70} +(-0.236068 - 0.726543i) q^{71} +(1.19098 + 3.66547i) q^{72} +(-10.2082 - 7.41669i) q^{73} +(-7.85410 + 5.70634i) q^{74} +(-2.80902 + 8.64527i) q^{75} +0.854102 q^{76} +(2.47214 - 6.15537i) q^{77} -8.47214 q^{78} +(-4.14590 + 12.7598i) q^{79} +(1.00000 - 0.726543i) q^{80} +(4.61803 + 3.35520i) q^{81} +(1.04508 + 3.21644i) q^{82} +(-1.95492 - 6.01661i) q^{83} +(4.23607 + 3.07768i) q^{84} +(1.61803 - 1.17557i) q^{85} +(3.57295 - 10.9964i) q^{86} -11.7082 q^{87} +(2.54508 + 2.12663i) q^{88} +3.09017 q^{89} +(-1.47214 + 4.53077i) q^{90} +(-5.23607 + 3.80423i) q^{91} +(2.61803 + 1.90211i) q^{92} +(1.61803 + 4.97980i) q^{93} +(0.763932 + 2.35114i) q^{94} +(0.854102 + 0.620541i) q^{95} +(-2.11803 + 1.53884i) q^{96} +(4.28115 - 13.1760i) q^{97} -3.00000 q^{98} +(-12.7533 - 0.865300i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - q^{2} - 4 q^{3} - q^{4} - 6 q^{5} + q^{6} + 2 q^{7} - q^{8} + 7 q^{9}+O(q^{10}) \) 4 * q - q^2 - 4 * q^3 - q^4 - 6 * q^5 + q^6 + 2 * q^7 - q^8 + 7 * q^9	\( 4 q - q^{2} - 4 q^{3} - q^{4} - 6 q^{5} + q^{6} + 2 q^{7} - q^{8} + 7 q^{9} + 4 q^{10} - q^{11} + 6 q^{12} - 4 q^{13} + 2 q^{14} + 6 q^{15} - q^{16} + 2 q^{17} - 8 q^{18} - 5 q^{19} - 6 q^{20} - 12 q^{21} - 11 q^{22} - 4 q^{23} + q^{24} + 9 q^{25} + 6 q^{26} + 5 q^{27} + 2 q^{28} + 10 q^{29} + 6 q^{30} - 2 q^{31} + 4 q^{32} + 11 q^{33} + 2 q^{34} + 12 q^{35} - 8 q^{36} - 18 q^{37} + 10 q^{38} - 6 q^{39} + 4 q^{40} - 2 q^{41} - 2 q^{42} + 6 q^{43} + 4 q^{44} - 28 q^{45} - 4 q^{46} - 8 q^{47} - 4 q^{48} + 3 q^{49} - 11 q^{50} - 7 q^{51} + 6 q^{52} - 4 q^{53} + 4 q^{55} - 8 q^{56} + 5 q^{57} + 10 q^{58} + 5 q^{59} - 4 q^{60} + 8 q^{61} - 2 q^{62} + 16 q^{63} - q^{64} + 16 q^{65} + 16 q^{66} + 22 q^{67} + 2 q^{68} + 14 q^{69} - 8 q^{70} + 8 q^{71} + 7 q^{72} - 14 q^{73} - 18 q^{74} - 9 q^{75} - 10 q^{76} - 8 q^{77} - 16 q^{78} - 30 q^{79} + 4 q^{80} + 14 q^{81} - 7 q^{82} - 19 q^{83} + 8 q^{84} + 2 q^{85} + 21 q^{86} - 20 q^{87} - q^{88} - 10 q^{89} + 12 q^{90} - 12 q^{91} + 6 q^{92} + 2 q^{93} + 12 q^{94} - 10 q^{95} - 4 q^{96} - 3 q^{97} - 12 q^{98} - 13 q^{99}+O(q^{100}) \) 4 * q - q^2 - 4 * q^3 - q^4 - 6 * q^5 + q^6 + 2 * q^7 - q^8 + 7 * q^9 + 4 * q^10 - q^11 + 6 * q^12 - 4 * q^13 + 2 * q^14 + 6 * q^15 - q^16 + 2 * q^17 - 8 * q^18 - 5 * q^19 - 6 * q^20 - 12 * q^21 - 11 * q^22 - 4 * q^23 + q^24 + 9 * q^25 + 6 * q^26 + 5 * q^27 + 2 * q^28 + 10 * q^29 + 6 * q^30 - 2 * q^31 + 4 * q^32 + 11 * q^33 + 2 * q^34 + 12 * q^35 - 8 * q^36 - 18 * q^37 + 10 * q^38 - 6 * q^39 + 4 * q^40 - 2 * q^41 - 2 * q^42 + 6 * q^43 + 4 * q^44 - 28 * q^45 - 4 * q^46 - 8 * q^47 - 4 * q^48 + 3 * q^49 - 11 * q^50 - 7 * q^51 + 6 * q^52 - 4 * q^53 + 4 * q^55 - 8 * q^56 + 5 * q^57 + 10 * q^58 + 5 * q^59 - 4 * q^60 + 8 * q^61 - 2 * q^62 + 16 * q^63 - q^64 + 16 * q^65 + 16 * q^66 + 22 * q^67 + 2 * q^68 + 14 * q^69 - 8 * q^70 + 8 * q^71 + 7 * q^72 - 14 * q^73 - 18 * q^74 - 9 * q^75 - 10 * q^76 - 8 * q^77 - 16 * q^78 - 30 * q^79 + 4 * q^80 + 14 * q^81 - 7 * q^82 - 19 * q^83 + 8 * q^84 + 2 * q^85 + 21 * q^86 - 20 * q^87 - q^88 - 10 * q^89 + 12 * q^90 - 12 * q^91 + 6 * q^92 + 2 * q^93 + 12 * q^94 - 10 * q^95 - 4 * q^96 - 3 * q^97 - 12 * q^98 - 13 * q^99

Introduction

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