LMFDB - Embedded newform 804.2.u.b.43.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(43,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 3]))

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

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

chi := DirichletCharacter("804.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.u (of order $22$, degree $10$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$340$
Relative dimension:	$34$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			43.3
Character	$\chi$	$=$	804.43
Dual form			804.2.u.b.187.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39651 - 0.223063i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(1.90049 + 0.623021i) q^{4} +(1.76201 + 0.253339i) q^{5} +(1.29542 - 0.567358i) q^{6} +(-0.821285 + 1.79836i) q^{7} +(-2.51508 - 1.29398i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(-1.39651 - 0.223063i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(1.90049 + 0.623021i) q^{4} +(1.76201 + 0.253339i) q^{5} +(1.29542 - 0.567358i) q^{6} +(-0.821285 + 1.79836i) q^{7} +(-2.51508 - 1.29398i) q^{8} +(0.415415 - 0.909632i) q^{9} +(-2.40416 - 0.746831i) q^{10} +(0.340507 - 2.36828i) q^{11} +(-1.93562 + 0.503362i) q^{12} +(0.566274 - 1.92855i) q^{13} +(1.54808 - 2.32824i) q^{14} +(-1.61927 + 0.739494i) q^{15} +(3.22369 + 2.36808i) q^{16} +(4.11188 - 4.74536i) q^{17} +(-0.783037 + 1.17765i) q^{18} +(0.948204 - 0.433030i) q^{19} +(3.19084 + 1.57924i) q^{20} +(-0.281360 - 1.95690i) q^{21} +(-1.00380 + 3.23137i) q^{22} +(-0.928479 - 1.44474i) q^{23} +(2.81540 - 0.271184i) q^{24} +(-1.75696 - 0.515889i) q^{25} +(-1.22100 + 2.56693i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-2.68126 + 2.90609i) q^{28} +4.21308 q^{29} +(2.42628 - 0.671512i) q^{30} +(3.78067 - 1.11010i) q^{31} +(-3.97369 - 4.02614i) q^{32} +(0.993935 + 2.17641i) q^{33} +(-6.80080 + 5.70974i) q^{34} +(-1.90271 + 2.96068i) q^{35} +(1.35621 - 1.46993i) q^{36} -3.34786 q^{37} +(-1.42077 + 0.393222i) q^{38} +(0.566274 + 1.92855i) q^{39} +(-4.10378 - 2.91718i) q^{40} +(5.72355 + 4.95949i) q^{41} +(-0.0435906 + 2.79559i) q^{42} +(-5.98082 + 6.90223i) q^{43} +(2.12261 - 4.28874i) q^{44} +(0.962412 - 1.49754i) q^{45} +(0.974362 + 2.22471i) q^{46} +(-1.52819 - 2.37791i) q^{47} +(-3.99222 - 0.249300i) q^{48} +(2.02442 + 2.33631i) q^{49} +(2.33853 + 1.11236i) q^{50} +(-0.893597 + 6.21510i) q^{51} +(2.27772 - 3.31238i) q^{52} +(9.62778 - 8.34251i) q^{53} +(0.0220486 - 1.41404i) q^{54} +(1.19996 - 4.08667i) q^{55} +(4.39265 - 3.46029i) q^{56} +(-0.563566 + 0.876926i) q^{57} +(-5.88361 - 0.939783i) q^{58} +(-0.922919 - 3.14317i) q^{59} +(-3.53811 + 0.396561i) q^{60} +(2.10509 - 0.302666i) q^{61} +(-5.52737 + 0.706945i) q^{62} +(1.29467 + 1.49413i) q^{63} +(4.65121 + 6.50893i) q^{64} +(1.48636 - 3.25467i) q^{65} +(-0.902563 - 3.26110i) q^{66} +(6.47628 + 5.00578i) q^{67} +(10.7710 - 6.45671i) q^{68} +(1.56217 + 0.713420i) q^{69} +(3.31757 - 3.71019i) q^{70} +(5.54718 - 4.80665i) q^{71} +(-2.22185 + 1.75025i) q^{72} +(-0.690269 - 4.80092i) q^{73} +(4.67533 + 0.746785i) q^{74} +(1.75696 - 0.515889i) q^{75} +(2.07183 - 0.232217i) q^{76} +(3.97937 + 2.55739i) q^{77} +(-0.360619 - 2.81956i) q^{78} +(14.8572 + 4.36247i) q^{79} +(5.08026 + 4.98928i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-6.88672 - 8.20269i) q^{82} +(6.76663 + 0.972894i) q^{83} +(0.684469 - 3.89435i) q^{84} +(8.44737 - 7.31969i) q^{85} +(9.89191 - 8.30494i) q^{86} +(-3.54426 + 2.27776i) q^{87} +(-3.92091 + 5.51579i) q^{88} +(-6.14420 - 3.94864i) q^{89} +(-1.67807 + 1.87666i) q^{90} +(3.00316 + 2.60226i) q^{91} +(-0.864457 - 3.32417i) q^{92} +(-2.58033 + 2.97786i) q^{93} +(1.60371 + 3.66167i) q^{94} +(1.78045 - 0.522788i) q^{95} +(5.51957 + 1.23867i) q^{96} -0.606253i q^{97} +(-2.30598 - 3.71426i) q^{98} +(-2.01281 - 1.29355i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 340 q + 34 q^{3} - 2 q^{4} - 11 q^{6} + 4 q^{7} + 27 q^{8} - 34 q^{9}+O(q^{10}) $ 340 * q + 34 * q^3 - 2 * q^4 - 11 * q^6 + 4 * q^7 + 27 * q^8 - 34 * q^9	$ 340 q + 34 q^{3} - 2 q^{4} - 11 q^{6} + 4 q^{7} + 27 q^{8} - 34 q^{9} - 27 q^{10} - 9 q^{12} + 4 q^{14} - 2 q^{16} - 12 q^{20} - 4 q^{21} - 3 q^{22} + 6 q^{24} + 34 q^{25} - 10 q^{26} + 34 q^{27} + 47 q^{28} + 16 q^{29} - 6 q^{30} - 4 q^{31} - 55 q^{32} + 9 q^{36} - 12 q^{37} + 26 q^{38} - 37 q^{40} - 4 q^{42} - 4 q^{43} - 51 q^{44} - 103 q^{46} + 2 q^{48} - 46 q^{49} - 51 q^{50} + 32 q^{52} - 14 q^{56} + 66 q^{57} + 92 q^{58} + 67 q^{60} + 2 q^{62} - 18 q^{63} + 7 q^{64} - 8 q^{66} - 18 q^{67} - 208 q^{68} + 56 q^{70} - 6 q^{72} + 54 q^{73} + 22 q^{74} - 34 q^{75} - 56 q^{76} + 8 q^{77} + 10 q^{78} + 10 q^{79} - 68 q^{80} - 34 q^{81} + 84 q^{82} + 8 q^{84} + 104 q^{86} - 16 q^{87} - 82 q^{88} - 27 q^{90} + 134 q^{92} + 4 q^{93} + 32 q^{94} - 40 q^{95} - 7 q^{98}+O(q^{100}) $ 340 * q + 34 * q^3 - 2 * q^4 - 11 * q^6 + 4 * q^7 + 27 * q^8 - 34 * q^9 - 27 * q^10 - 9 * q^12 + 4 * q^14 - 2 * q^16 - 12 * q^20 - 4 * q^21 - 3 * q^22 + 6 * q^24 + 34 * q^25 - 10 * q^26 + 34 * q^27 + 47 * q^28 + 16 * q^29 - 6 * q^30 - 4 * q^31 - 55 * q^32 + 9 * q^36 - 12 * q^37 + 26 * q^38 - 37 * q^40 - 4 * q^42 - 4 * q^43 - 51 * q^44 - 103 * q^46 + 2 * q^48 - 46 * q^49 - 51 * q^50 + 32 * q^52 - 14 * q^56 + 66 * q^57 + 92 * q^58 + 67 * q^60 + 2 * q^62 - 18 * q^63 + 7 * q^64 - 8 * q^66 - 18 * q^67 - 208 * q^68 + 56 * q^70 - 6 * q^72 + 54 * q^73 + 22 * q^74 - 34 * q^75 - 56 * q^76 + 8 * q^77 + 10 * q^78 + 10 * q^79 - 68 * q^80 - 34 * q^81 + 84 * q^82 + 8 * q^84 + 104 * q^86 - 16 * q^87 - 82 * q^88 - 27 * q^90 + 134 * q^92 + 4 * q^93 + 32 * q^94 - 40 * q^95 - 7 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$1$	$e\left(\frac{3}{22}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.39651	−	0.223063i	−0.987482	−	0.157730i
$2$	−1.39651	−	0.223063i	−0.987482	−	0.157730i
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$4$	1.90049	+	0.623021i	0.950243	+	0.311510i
$5$	1.76201	+	0.253339i	0.787996	+	0.113297i	0.524553	−	0.851378i	$-0.324233\pi$
$5$	1.76201	+	0.253339i	0.787996	+	0.113297i	0.263444	+	0.964675i	$0.415142\pi$
$6$	1.29542	−	0.567358i	0.528852	−	0.231623i
$7$	−0.821285	+	1.79836i	−0.310417	+	0.679717i	−0.998966	−	0.0454723i	$-0.985521\pi$
$7$	−0.821285	+	1.79836i	−0.310417	+	0.679717i	0.688549	+	0.725190i	$0.258248\pi$
$8$	−2.51508	−	1.29398i	−0.889214	−	0.457492i
$9$	0.415415	−	0.909632i	0.138472	−	0.303211i
$10$	−2.40416	−	0.746831i	−0.760262	−	0.236169i
$11$	0.340507	−	2.36828i	0.102667	−	0.714063i	−0.871854	−	0.489766i	$-0.837082\pi$
$11$	0.340507	−	2.36828i	0.102667	−	0.714063i	0.974521	−	0.224297i	$-0.0720086\pi$
$12$	−1.93562	+	0.503362i	−0.558766	+	0.145308i
$13$	0.566274	−	1.92855i	0.157056	−	0.534884i	−0.842939	−	0.538009i	$-0.819177\pi$
$13$	0.566274	−	1.92855i	0.157056	−	0.534884i	0.999995	+	0.00312511i	$0.000994756\pi$
$14$	1.54808	−	2.32824i	0.413742	−	0.622247i
$15$	−1.61927	+	0.739494i	−0.418092	+	0.190936i
$16$	3.22369	+	2.36808i	0.805923	+	0.592021i
$17$	4.11188	−	4.74536i	0.997278	−	1.15092i	0.00873750	−	0.999962i	$-0.497219\pi$
$17$	4.11188	−	4.74536i	0.997278	−	1.15092i	0.988540	−	0.150958i	$-0.0482358\pi$
$18$	−0.783037	+	1.17765i	−0.184564	+	0.277574i
$19$	0.948204	−	0.433030i	0.217533	−	0.0993440i	−0.303668	−	0.952778i	$-0.598211\pi$
$19$	0.948204	−	0.433030i	0.217533	−	0.0993440i	0.521201	+	0.853434i	$0.325484\pi$
$20$	3.19084	+	1.57924i	0.713494	+	0.353128i
$21$	−0.281360	−	1.95690i	−0.0613977	−	0.427031i
$22$	−1.00380	+	3.23137i	−0.214010	+	0.688931i
$23$	−0.928479	−	1.44474i	−0.193601	−	0.301249i	0.730859	−	0.682529i	$-0.239120\pi$
$23$	−0.928479	−	1.44474i	−0.193601	−	0.301249i	−0.924460	+	0.381280i	$0.875484\pi$
$24$	2.81540	−	0.271184i	0.574690	−	0.0553552i
$25$	−1.75696	−	0.515889i	−0.351391	−	0.103178i
$26$	−1.22100	+	2.56693i	−0.239457	+	0.503416i
$27$	0.142315	+	0.989821i	0.0273885	+	0.190491i
$28$	−2.68126	+	2.90609i	−0.506710	+	0.549199i
$29$	4.21308			0.782349			0.391174	−	0.920317i	$-0.372069\pi$
$29$	4.21308			0.782349			0.391174	+	0.920317i	$0.372069\pi$
$30$	2.42628	−	0.671512i	0.442975	−	0.122601i
$31$	3.78067	−	1.11010i	0.679028	−	0.199381i	0.0760088	−	0.997107i	$-0.475782\pi$
$31$	3.78067	−	1.11010i	0.679028	−	0.199381i	0.603019	+	0.797726i	$0.293964\pi$
$32$	−3.97369	−	4.02614i	−0.702455	−	0.711728i
$33$	0.993935	+	2.17641i	0.173022	+	0.378865i
$34$	−6.80080	+	5.70974i	−1.16633	+	0.979213i
$35$	−1.90271	+	2.96068i	−0.321617	+	0.500446i
$36$	1.35621	−	1.46993i	0.226035	−	0.244988i
$37$	−3.34786			−0.550385			−0.275193	−	0.961389i	$-0.588742\pi$
$37$	−3.34786			−0.550385			−0.275193	+	0.961389i	$0.588742\pi$
$38$	−1.42077	+	0.393222i	−0.230479	+	0.0637890i
$39$	0.566274	+	1.92855i	0.0906764	+	0.308815i
$40$	−4.10378	−	2.91718i	−0.648864	−	0.461247i
$41$	5.72355	+	4.95949i	0.893869	+	0.774542i	0.975010	−	0.222161i	$-0.0713111\pi$
$41$	5.72355	+	4.95949i	0.893869	+	0.774542i	−0.0811413	+	0.996703i	$0.525857\pi$
$42$	−0.0435906	+	2.79559i	−0.00672618	+	0.431369i
$43$	−5.98082	+	6.90223i	−0.912066	+	1.05258i	0.0863468	+	0.996265i	$0.472481\pi$
$43$	−5.98082	+	6.90223i	−0.912066	+	1.05258i	−0.998413	+	0.0563154i	$0.982065\pi$
$44$	2.12261	−	4.28874i	0.319996	−	0.646551i
$45$	0.962412	−	1.49754i	0.143468	−	0.223240i
$46$	0.974362	+	2.22471i	0.143662	+	0.328015i
$47$	−1.52819	−	2.37791i	−0.222910	−	0.346854i	0.711728	−	0.702455i	$-0.247913\pi$
$47$	−1.52819	−	2.37791i	−0.222910	−	0.346854i	−0.934638	+	0.355600i	$0.884276\pi$
$48$	−3.99222	−	0.249300i	−0.576228	−	0.0359833i
$49$	2.02442	+	2.33631i	0.289203	+	0.333758i
$50$	2.33853	+	1.11236i	0.330718	+	0.157311i
$51$	−0.893597	+	6.21510i	−0.125129	+	0.870289i
$52$	2.27772	−	3.31238i	0.315863	−	0.459345i
$53$	9.62778	−	8.34251i	1.32248	−	1.14593i	0.344139	−	0.938919i	$-0.388171\pi$
$53$	9.62778	−	8.34251i	1.32248	−	1.14593i	0.978338	−	0.207014i	$-0.0663744\pi$
$54$	0.0220486	−	1.41404i	0.00300044	−	0.192427i
$55$	1.19996	−	4.08667i	0.161802	−	0.551047i
$56$	4.39265	−	3.46029i	0.586992	−	0.462401i
$57$	−0.563566	+	0.876926i	−0.0746462	+	0.116152i
$58$	−5.88361	−	0.939783i	−0.772555	−	0.123399i
$59$	−0.922919	−	3.14317i	−0.120154	−	0.409206i	0.877347	−	0.479856i	$-0.159311\pi$
$59$	−0.922919	−	3.14317i	−0.120154	−	0.409206i	−0.997501	+	0.0706494i	$0.977493\pi$
$60$	−3.53811	+	0.396561i	−0.456768	+	0.0511958i
$61$	2.10509	−	0.302666i	0.269529	−	0.0387524i	−0.00622508	−	0.999981i	$-0.501982\pi$
$61$	2.10509	−	0.302666i	0.269529	−	0.0387524i	0.275754	+	0.961228i	$0.411072\pi$
$62$	−5.52737	+	0.706945i	−0.701977	+	0.0897821i
$63$	1.29467	+	1.49413i	0.163114	+	0.188243i
$64$	4.65121	+	6.50893i	0.581402	+	0.813617i
$65$	1.48636	−	3.25467i	0.184360	−	0.403693i
$66$	−0.902563	−	3.26110i	−0.111098	−	0.401413i
$67$	6.47628	+	5.00578i	0.791203	+	0.611553i
$67$	6.47628	+	5.00578i	0.791203	+	0.611553i
$68$	10.7710	−	6.45671i	1.30618	−	0.782991i
$69$	1.56217	+	0.713420i	0.188063	+	0.0858857i
$70$	3.31757	−	3.71019i	0.396526	−	0.443453i
$71$	5.54718	−	4.80665i	0.658329	−	0.570445i	−0.260319	−	0.965523i	$-0.583828\pi$
$71$	5.54718	−	4.80665i	0.658329	−	0.570445i	0.918648	+	0.395078i	$0.129282\pi$
$72$	−2.22185	+	1.75025i	−0.261847	+	0.206269i
$73$	−0.690269	−	4.80092i	−0.0807898	−	0.561906i	−0.989506	−	0.144491i	$-0.953845\pi$
$73$	−0.690269	−	4.80092i	−0.0807898	−	0.561906i	0.908716	−	0.417414i	$-0.137064\pi$
$74$	4.67533	+	0.746785i	0.543496	+	0.0868120i
$75$	1.75696	−	0.515889i	0.202876	−	0.0595697i
$76$	2.07183	−	0.232217i	0.237656	−	0.0266371i
$77$	3.97937	+	2.55739i	0.453491	+	0.291441i
$78$	−0.360619	−	2.81956i	−0.0408320	−	0.319252i
$79$	14.8572	+	4.36247i	1.67157	+	0.490817i	0.974160	−	0.225858i	$-0.0725186\pi$
$79$	14.8572	+	4.36247i	1.67157	+	0.490817i	0.697408	+	0.716675i	$0.254337\pi$
$80$	5.08026	+	4.98928i	0.567990	+	0.557819i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	−6.88672	−	8.20269i	−0.760511	−	0.905836i
$83$	6.76663	+	0.972894i	0.742734	+	0.106789i	0.503286	−	0.864120i	$-0.332124\pi$
$83$	6.76663	+	0.972894i	0.742734	+	0.106789i	0.239448	+	0.970909i	$0.423033\pi$
$84$	0.684469	−	3.89435i	0.0746817	−	0.424909i
$85$	8.44737	−	7.31969i	0.916246	−	0.793932i
$86$	9.89191	−	8.30494i	1.06667	−	0.895545i
$87$	−3.54426	+	2.27776i	−0.379985	+	0.244202i
$88$	−3.92091	+	5.51579i	−0.417971	+	0.587985i
$89$	−6.14420	−	3.94864i	−0.651284	−	0.418555i	0.172851	−	0.984948i	$-0.444702\pi$
$89$	−6.14420	−	3.94864i	−0.651284	−	0.418555i	−0.824135	+	0.566393i	$0.808338\pi$
$90$	−1.67807	+	1.87666i	−0.176884	+	0.197817i
$91$	3.00316	+	2.60226i	0.314817	+	0.272791i
$92$	−0.864457	−	3.32417i	−0.0901259	−	0.346569i
$93$	−2.58033	+	2.97786i	−0.267568	+	0.308790i
$94$	1.60371	+	3.66167i	0.165410	+	0.377672i
$95$	1.78045	−	0.522788i	0.182670	−	0.0536369i
$96$	5.51957	+	1.23867i	0.563339	+	0.126421i
$97$		−	0.606253i		−	0.0615556i	−0.999526	−	0.0307778i	$-0.990202\pi$
$97$		−	0.606253i		−	0.0615556i	0.999526	−	0.0307778i	$-0.00979843\pi$
$98$	−2.30598	−	3.71426i	−0.232940	−	0.375197i
$99$	−2.01281	−	1.29355i	−0.202295	−	0.130007i
$100$	−3.01766	−	2.07506i	−0.301766	−	0.207506i
$101$	0.0826705	−	0.0377544i	0.00822602	−	0.00375670i	−0.411298	−	0.911501i	$-0.634924\pi$
$101$	0.0826705	−	0.0377544i	0.00822602	−	0.00375670i	0.419524	+	0.907744i	$0.362197\pi$
$102$	2.63428	−	8.48013i	0.260833	−	0.839658i
$103$	−0.689707	−	2.34893i	−0.0679588	−	0.231447i	0.918509	−	0.395399i	$-0.129394\pi$
$103$	−0.689707	−	2.34893i	−0.0679588	−	0.231447i	−0.986468	+	0.163953i	$0.947576\pi$
$104$	−3.91974	+	4.11770i	−0.384362	+	0.403774i
$105$		−	3.51936i		−	0.343455i
$106$	−15.3062	+	9.50281i	−1.48667	+	0.922994i
$107$	4.80502	−	0.690857i	0.464519	−	0.0667877i	0.0939178	−	0.995580i	$-0.470061\pi$
$107$	4.80502	−	0.690857i	0.464519	−	0.0667877i	0.370601	+	0.928792i	$0.379152\pi$
$108$	−0.346212	+	1.96981i	−0.0333143	+	0.189545i
$109$	−1.10838	+	3.77479i	−0.106164	+	0.361560i	−0.995390	−	0.0959069i	$-0.969425\pi$
$109$	−1.10838	+	3.77479i	−0.106164	+	0.361560i	0.889227	+	0.457467i	$0.151243\pi$
$110$	−2.58734	+	5.43942i	−0.246693	+	0.518628i
$111$	2.81640	−	1.80999i	0.267321	−	0.171797i
$112$	−6.90624	+	3.85250i	−0.652579	+	0.364027i
$113$	−1.55991	+	0.224281i	−0.146744	+	0.0210986i	−0.215295	−	0.976549i	$-0.569071\pi$
$113$	−1.55991	+	0.224281i	−0.146744	+	0.0210986i	0.0685513	+	0.997648i	$0.478162\pi$
$114$	0.982636	−	1.09893i	0.0920323	−	0.102924i
$115$	−1.26998	−	2.78087i	−0.118426	−	0.259318i
$116$	8.00689	+	2.62483i	0.743421	+	0.243710i
$117$	−1.51903	−	1.31625i	−0.140435	−	0.121687i
$118$	0.587740	+	4.59535i	0.0541058	+	0.423036i
$119$	5.15686	+	11.2920i	0.472729	+	1.03513i
$120$	5.02947	+	0.235420i	0.459125	+	0.0214908i
$121$	5.06163	+	1.48623i	0.460148	+	0.135112i
$122$	−3.00729	−	0.0468916i	−0.272268	−	0.00424536i
$123$	−7.49626	−	1.07780i	−0.675915	−	0.0971819i
$124$	7.87673	+	0.245697i	0.707351	+	0.0220643i
$125$	−11.0614	−	5.05158i	−0.989363	−	0.451827i
$126$	−1.47474	−	2.37537i	−0.131380	−	0.211615i
$127$	−6.66004	−	3.04154i	−0.590983	−	0.269893i	0.0973940	−	0.995246i	$-0.468949\pi$
$127$	−6.66004	−	3.04154i	−0.590983	−	0.269893i	−0.688377	+	0.725353i	$0.741677\pi$
$128$	−5.04356	−	10.1273i	−0.445792	−	0.895136i
$129$	1.29976	−	9.04000i	0.114437	−	0.795928i
$130$	−2.80172	+	4.21364i	−0.245727	+	0.369560i
$131$	−5.78064	−	8.99486i	−0.505057	−	0.785884i	0.491316	−	0.870982i	$-0.336516\pi$
$131$	−5.78064	−	8.99486i	−0.505057	−	0.785884i	−0.996373	+	0.0850975i	$0.972880\pi$
$132$	0.533008	+	4.75549i	0.0463924	+	0.413912i
$133$			2.06086i			0.178699i
$134$	−7.92759	−	8.43524i	−0.684839	−	0.728694i
$135$			1.78013i			0.153209i
$136$	−16.4821	+	6.61424i	−1.41333	+	0.567167i
$137$	12.1909	+	18.9695i	1.04154	+	1.62067i	0.746743	+	0.665113i	$0.231617\pi$
$137$	12.1909	+	18.9695i	1.04154	+	1.62067i	0.294800	+	0.955559i	$0.404747\pi$
$138$	−2.02245	−	1.34476i	−0.172163	−	0.114474i
$139$	−0.199825	+	1.38981i	−0.0169490	+	0.117883i	−0.996539	−	0.0831210i	$-0.973511\pi$
$139$	−0.199825	+	1.38981i	−0.0169490	+	0.117883i	0.979591	+	0.201004i	$0.0644203\pi$
$140$	−5.46064	+	4.44129i	−0.461508	+	0.375358i
$141$	2.57120	+	1.17423i	0.216534	+	0.0988876i
$142$	−8.81888	+	5.47517i	−0.740064	+	0.459466i
$143$	−4.37453	−	1.99778i	−0.365816	−	0.167063i
$144$	3.49325	−	1.94863i	0.291104	−	0.162386i
$145$	7.42349	+	1.06734i	0.616488	+	0.0886375i
$146$	−0.106942	+	6.85852i	−0.00885060	+	0.567615i
$147$	−2.96616	−	0.870943i	−0.244645	−	0.0718341i
$148$	−6.36256	−	2.08579i	−0.523000	−	0.171451i
$149$	0.496798	+	1.08784i	0.0406993	+	0.0891191i	0.928890	−	0.370357i	$-0.120765\pi$
$149$	0.496798	+	1.08784i	0.0406993	+	0.0891191i	−0.888190	+	0.459476i	$0.848037\pi$
$150$	−2.56868	+	0.328532i	−0.209732	+	0.0268245i
$151$	−8.47854	−	7.34670i	−0.689974	−	0.597866i	0.237664	−	0.971347i	$-0.423618\pi$
$151$	−8.47854	−	7.34670i	−0.689974	−	0.597866i	−0.927637	+	0.373482i	$0.878164\pi$
$152$	−2.94514	−	0.137857i	−0.238882	−	0.0111817i
$153$	−2.60840	−	5.71159i	−0.210876	−	0.461755i
$154$	−4.98678	−	4.45907i	−0.401846	−	0.359322i
$155$	6.94282	−	0.998227i	0.557661	−	0.0801795i
$156$	−0.125332	+	4.01799i	−0.0100346	+	0.321696i
$157$	0.653067	−	0.419701i	0.0521205	−	0.0334958i	−0.514321	−	0.857598i	$-0.671956\pi$
$157$	0.653067	−	0.419701i	0.0521205	−	0.0334958i	0.566442	+	0.824102i	$0.308320\pi$
$158$	−19.7752	−	9.40634i	−1.57323	−	0.748328i
$159$	−3.58910	+	12.2233i	−0.284634	+	0.969374i
$160$	−5.98171	−	8.10080i	−0.472895	−	0.640425i
$161$	3.36072	−	0.483198i	0.264861	−	0.0380813i
$162$	0.745940	+	1.20149i	0.0586066	+	0.0943978i
$163$		−	9.72324i		−	0.761583i	−0.924661	−	0.380791i	$-0.875652\pi$
$163$		−	9.72324i		−	0.761583i	0.924661	−	0.380791i	$-0.124348\pi$
$164$	7.78767	+	12.9913i	0.608115	+	1.01445i
$165$	1.19996	+	4.08667i	0.0934164	+	0.318147i
$166$	−9.23265	−	2.86804i	−0.716593	−	0.222603i
$167$	−18.1833	+	8.30404i	−1.40707	+	0.642586i	−0.966859	−	0.255310i	$-0.917823\pi$
$167$	−18.1833	+	8.30404i	−1.40707	+	0.642586i	−0.440208	+	0.897896i	$0.645095\pi$
$168$	−1.82456	+	5.28583i	−0.140768	+	0.407810i
$169$	7.53765	+	4.84415i	0.579819	+	0.372627i
$170$	−13.4296	+	8.33773i	−1.03000	+	0.639475i
$171$		−	1.04240i		−	0.0797146i
$172$	−15.6667	+	9.39142i	−1.19457	+	0.716089i
$173$	−20.3429	+	5.97321i	−1.54664	+	0.454135i	−0.940094	−	0.340914i	$-0.889263\pi$
$173$	−20.3429	+	5.97321i	−1.54664	+	0.454135i	−0.606546	+	0.795049i	$0.707445\pi$
$174$	5.45769	−	2.39032i	0.413746	−	0.181210i
$175$	2.37072	−	2.73595i	0.179209	−	0.206819i
$176$	6.70597	−	6.82825i	0.505482	−	0.514698i
$177$	2.47574	+	2.14524i	0.186088	+	0.161246i
$178$	7.69965	+	6.88487i	0.577113	+	0.516043i
$179$	−17.7734	−	11.4223i	−1.32845	−	0.853740i	−0.332448	−	0.943122i	$-0.607874\pi$
$179$	−17.7734	−	11.4223i	−1.32845	−	0.853740i	−0.995997	+	0.0893818i	$0.971511\pi$
$180$	2.76205	−	2.24646i	0.205871	−	0.167441i
$181$	−5.17591	+	3.32636i	−0.384723	+	0.247246i	−0.718678	−	0.695343i	$-0.755253\pi$
$181$	−5.17591	+	3.32636i	−0.384723	+	0.247246i	0.333956	+	0.942589i	$0.391616\pi$
$182$	−3.61348	−	4.30398i	−0.267849	−	0.319032i
$183$	−1.60728	+	1.39272i	−0.118814	+	0.102953i
$184$	0.465723	+	4.83507i	0.0343335	+	0.356446i
$185$	−5.89898	−	0.848145i	−0.433701	−	0.0623568i
$186$	4.26772	−	3.58304i	0.312924	−	0.262721i
$187$	−9.83822	−	11.3539i	−0.719442	−	0.830280i
$188$	−1.42282	−	5.47129i	−0.103770	−	0.399035i
$189$	−1.89694	−	0.556992i	−0.137982	−	0.0405152i
$190$	−2.60303	+	0.332925i	−0.188844	+	0.0241529i
$191$	8.17808	+	5.25573i	0.591745	+	0.380291i	0.801972	−	0.597361i	$-0.203784\pi$
$191$	8.17808	+	5.25573i	0.591745	+	0.380291i	−0.210227	+	0.977653i	$0.567420\pi$
$192$	−7.43184	−	2.96103i	−0.536347	−	0.213694i
$193$	−18.6592	+	5.47884i	−1.34312	+	0.394375i	−0.872782	−	0.488111i	$-0.837686\pi$
$193$	−18.6592	+	5.47884i	−1.34312	+	0.394375i	−0.470338	+	0.882486i	$0.655868\pi$
$194$	−0.135233	+	0.846638i	−0.00970914	+	0.0607851i
$195$	0.509204	+	3.54159i	0.0364649	+	0.253619i
$196$	2.39182	+	5.70138i	0.170844	+	0.407241i
$197$	2.49101	−	2.15847i	0.177477	−	0.153785i	−0.561592	−	0.827414i	$-0.689811\pi$
$197$	2.49101	−	2.15847i	0.177477	−	0.153785i	0.739069	+	0.673629i	$0.235266\pi$
$198$	2.52237	+	2.25545i	0.179257	+	0.160288i
$199$	17.7051	+	8.08563i	1.25508	+	0.573175i	0.928267	−	0.371914i	$-0.121299\pi$
$199$	17.7051	+	8.08563i	1.25508	+	0.573175i	0.326811	+	0.945090i	$0.394026\pi$
$200$	3.75133	+	3.57097i	0.265259	+	0.252506i
$201$	−8.15452	−	0.709787i	−0.575176	−	0.0500645i
$202$	−0.123872	+	0.0342836i	−0.00871559	+	0.00241219i
$203$	−3.46014	+	7.57664i	−0.242854	+	0.531776i
$204$	−5.57041	+	11.2550i	−0.390007	+	0.788007i
$205$	8.82854	+	10.1887i	0.616612	+	0.711608i
$206$	0.439224	+	3.43415i	0.0306022	+	0.239269i
$207$	−1.69989	+	0.244407i	−0.118150	+	0.0169874i
$208$	6.39246	−	4.87607i	0.443238	−	0.338095i
$209$	−0.702666	−	2.39306i	−0.0486044	−	0.165531i
$210$	−0.785040	+	4.91483i	−0.0541729	+	0.339155i
$211$	7.72185	−	12.0154i	0.531594	−	0.827177i	−0.466768	−	0.884380i	$-0.654582\pi$
$211$	7.72185	−	12.0154i	0.531594	−	0.827177i	0.998363	+	0.0572028i	$0.0182181\pi$
$212$	23.4950	−	9.85653i	1.61364	−	0.676949i
$213$	−2.06791	+	7.04264i	−0.141691	+	0.482554i
$214$	−6.86436	−	0.107033i	−0.469238	−	0.00731665i
$215$	−12.2869	+	10.6466i	−0.837959	+	0.726095i
$216$	0.922880	−	2.67363i	0.0627940	−	0.181917i
$217$	−1.10864	+	7.71073i	−0.0752591	+	0.523438i
$218$	2.38988	−	5.02430i	0.161863	−	0.340289i
$219$	3.17627	+	3.66561i	0.214632	+	0.247699i
$220$	4.82658	−	7.01907i	0.325408	−	0.473225i
$221$	−6.82323	−	10.6172i	−0.458980	−	0.714187i
$222$	−4.33688	+	1.89944i	−0.291072	+	0.127482i
$223$	12.1667	−	18.9317i	0.814740	−	1.26776i	−0.145716	−	0.989326i	$-0.546549\pi$
$223$	12.1667	−	18.9317i	0.814740	−	1.26776i	0.960456	−	0.278433i	$-0.0898151\pi$
$224$	10.5040	−	3.83952i	0.701828	−	0.256539i
$225$	−1.19914	+	1.38388i	−0.0799423	+	0.0922584i
$226$	2.22846	+	0.0347475i	0.148235	+	0.00231137i
$227$	8.05718	+	6.98158i	0.534774	+	0.463384i	0.879891	−	0.475176i	$-0.157615\pi$
$227$	8.05718	+	6.98158i	0.534774	+	0.463384i	−0.345117	+	0.938559i	$0.612161\pi$
$228$	−1.61739	+	1.31547i	−0.107114	+	0.0871193i
$229$	−1.23012	−	4.18940i	−0.0812885	−	0.276843i	0.908812	−	0.417207i	$-0.136991\pi$
$229$	−1.23012	−	4.18940i	−0.0812885	−	0.276843i	−0.990100	+	0.140364i	$0.955173\pi$
$230$	1.15323	+	4.16681i	0.0760419	+	0.274751i
$231$	−4.73029			−0.311230
$232$	−10.5962	−	5.45165i	−0.695675	−	0.357918i
$233$	−12.6975	+	19.7577i	−0.831840	+	1.29437i	0.121538	+	0.992587i	$0.461217\pi$
$233$	−12.6975	+	19.7577i	−0.831840	+	1.29437i	−0.953377	+	0.301781i	$0.902419\pi$
$234$	1.82774	+	2.17700i	0.119483	+	0.142315i
$235$	−2.09028	−	4.57707i	−0.136355	−	0.298575i
$236$	0.204268	−	6.54855i	0.0132967	−	0.426275i
$237$	−14.8572	+	4.36247i	−0.965080	+	0.283373i
$238$	−4.68279	−	16.9196i	−0.303540	−	1.09674i
$239$	−10.4669			−0.677048			−0.338524	−	0.940958i	$-0.609928\pi$
$239$	−10.4669			−0.677048			−0.338524	+	0.940958i	$0.609928\pi$
$240$	−6.97119	−	1.45066i	−0.449989	−	0.0936395i
$241$	2.65578	+	18.4713i	0.171074	+	1.18984i	0.876621	+	0.481181i	$0.159792\pi$
$241$	2.65578	+	18.4713i	0.171074	+	1.18984i	−0.705548	+	0.708662i	$0.749299\pi$
$242$	−6.73709	−	3.20460i	−0.433077	−	0.205999i
$243$	0.959493	+	0.281733i	0.0615515	+	0.0180732i
$244$	4.18926	+	0.736302i	0.268190	+	0.0471369i
$245$	2.97518	+	4.62947i	0.190077	+	0.295766i
$246$	10.2282	+	3.17730i	0.652126	+	0.202577i
$247$	−0.298178	−	2.07387i	−0.0189726	−	0.131957i
$248$	−10.9451	−	2.10013i	−0.695016	−	0.133358i
$249$	−6.21844	+	2.83986i	−0.394077	+	0.179969i
$250$	14.3206	+	9.52198i	0.905712	+	0.602223i
$251$	6.80992	−	7.85907i	0.429838	−	0.496060i	−0.498971	−	0.866619i	$-0.666288\pi$
$251$	6.80992	−	7.85907i	0.429838	−	0.496060i	0.928809	+	0.370559i	$0.120834\pi$
$252$	1.52963	+	3.64619i	0.0963579	+	0.229688i
$253$	−3.73770	+	1.70695i	−0.234987	+	0.107315i
$254$	8.62237	+	5.73315i	0.541015	+	0.359730i
$255$	−3.14906	+	10.7247i	−0.197202	+	0.671607i
$256$	4.78436	+	15.2679i	0.299023	+	0.954246i
$257$	1.69235	−	11.7706i	0.105566	−	0.734227i	−0.866442	−	0.499278i	$-0.833599\pi$
$257$	1.69235	−	11.7706i	0.105566	−	0.734227i	0.972008	−	0.234949i	$-0.0754923\pi$
$258$	−3.83162	+	12.3345i	−0.238546	+	0.767915i
$259$	2.74955	−	6.02067i	0.170849	−	0.374106i
$260$	4.85253	−	5.25943i	0.300941	−	0.326176i
$261$	1.75017	−	3.83235i	0.108333	−	0.237216i
$262$	6.06631	+	13.8509i	0.374778	+	0.855709i
$263$	0.273729	+	0.0393562i	0.0168788	+	0.00242681i	0.150749	−	0.988572i	$-0.451831\pi$
$263$	0.273729	+	0.0393562i	0.0168788	+	0.00242681i	−0.133870	+	0.990999i	$0.542741\pi$
$264$	0.316423	−	6.75998i	0.0194745	−	0.416048i
$265$	19.0777	−	12.2605i	1.17194	−	0.753158i
$266$	0.459701	−	2.87801i	0.0281861	−	0.176462i
$267$	7.30363			0.446975
$268$	9.18937	+	13.5483i	0.561330	+	0.827592i
$269$	17.8885			1.09068			0.545342	−	0.838214i	$-0.316400\pi$
$269$	17.8885			1.09068			0.545342	+	0.838214i	$0.316400\pi$
$270$	0.397082	−	2.48597i	0.0241656	−	0.151292i
$271$	6.26914	−	4.02893i	0.380823	−	0.244740i	−0.336198	−	0.941791i	$-0.609141\pi$
$271$	6.26914	−	4.02893i	0.380823	−	0.244740i	0.717022	+	0.697051i	$0.245505\pi$
$272$	24.4929	−	5.56031i	1.48510	−	0.337143i
$273$	−3.93331	−	0.565524i	−0.238055	−	0.0342271i
$274$	−12.7934	−	29.2104i	−0.772877	−	1.76467i
$275$	−1.82002	+	3.98530i	−0.109752	+	0.240322i
$276$	2.52441	+	2.32911i	0.151952	+	0.140196i
$277$	−0.111969	+	0.245179i	−0.00672759	+	0.0147314i	−0.912966	−	0.408036i	$-0.866214\pi$
$277$	−0.111969	+	0.245179i	−0.00672759	+	0.0147314i	0.906238	+	0.422767i	$0.138941\pi$
$278$	0.589075	−	1.89632i	0.0353304	−	0.113734i
$279$	0.560760	−	3.90017i	0.0335718	−	0.233497i
$280$	8.61653	−	4.98425i	0.514936	−	0.297866i
$281$	−6.94070	+	23.6379i	−0.414048	+	1.41012i	0.443760	+	0.896146i	$0.353644\pi$
$281$	−6.94070	+	23.6379i	−0.414048	+	1.41012i	−0.857807	+	0.513971i	$0.828174\pi$
$282$	−3.32878	−	2.21336i	−0.198226	−	0.131804i
$283$	−7.80161	+	3.56288i	−0.463758	+	0.211791i	−0.633570	−	0.773685i	$-0.718411\pi$
$283$	−7.80161	+	3.56288i	−0.463758	+	0.211791i	0.169812	+	0.985476i	$0.445684\pi$
$284$	13.5370	−	5.67897i	0.803272	−	0.336985i
$285$	−1.21517	+	1.40238i	−0.0719805	+	0.0830699i
$286$	5.66344	+	3.76572i	0.334886	+	0.222672i
$287$	−13.6196	+	6.21987i	−0.803941	+	0.367148i
$288$	−5.31304	+	1.94207i	−0.313074	+	0.114438i
$289$	−3.19156	−	22.1978i	−0.187739	−	1.30575i
$290$	−10.1289	−	3.14646i	−0.594790	−	0.184766i
$291$	0.327765	+	0.510012i	0.0192139	+	0.0298974i
$292$	1.67923	−	9.55414i	0.0982695	−	0.559114i
$293$	−25.2052	−	7.40090i	−1.47250	−	0.432365i	−0.555590	−	0.831456i	$-0.687508\pi$
$293$	−25.2052	−	7.40090i	−1.47250	−	0.432365i	−0.916911	+	0.399091i	$0.869326\pi$
$294$	3.94800	+	1.87792i	0.230252	+	0.109523i
$295$	−0.829906	−	5.77212i	−0.0483190	−	0.336066i
$296$	8.42013	+	4.33208i	0.489410	+	0.251797i
$297$	2.39263			0.138835
$298$	−0.451128	−	1.62999i	−0.0261331	−	0.0944230i
$299$	−3.31203	+	0.972500i	−0.191540	+	0.0562411i
$300$	3.66048	+	0.114181i	0.211338	+	0.00659222i
$301$	−7.50076	−	16.4244i	−0.432337	−	0.946686i
$302$	10.2016	+	12.1510i	0.587036	+	0.699211i
$303$	−0.0491353	+	0.0764560i	−0.00282275	+	0.00439228i
$304$	4.08217	+	0.849471i	0.234128	+	0.0487205i
$305$	3.78587			0.216778
$306$	2.36861	+	8.55814i	0.135404	+	0.489236i
$307$	−4.76140	−	16.2158i	−0.271747	−	0.925486i	−0.976407	−	0.215940i	$-0.930718\pi$
$307$	−4.76140	−	16.2158i	−0.271747	−	0.925486i	0.704659	−	0.709546i	$-0.251100\pi$
$308$	5.96943	+	7.33951i	0.340140	+	0.418207i
$309$	1.85014	+	1.60316i	0.105251	+	0.0912005i
$310$	−9.91839	−	0.154654i	−0.563327	−	0.00878374i
$311$	−7.37531	+	8.51156i	−0.418215	+	0.482646i	−0.925292	−	0.379255i	$-0.876180\pi$
$311$	−7.37531	+	8.51156i	−0.418215	+	0.482646i	0.507077	+	0.861901i	$0.330726\pi$
$312$	1.07129	−	5.58320i	0.0606500	−	0.316087i
$313$	−11.3008	+	17.5844i	−0.638760	+	0.993930i	0.359394	+	0.933186i	$0.382984\pi$
$313$	−11.3008	+	17.5844i	−0.638760	+	0.993930i	−0.998153	+	0.0607436i	$0.980653\pi$
$314$	−1.00564	+	0.440442i	−0.0567513	+	0.0248556i
$315$	1.90271	+	2.96068i	0.107206	+	0.166815i
$316$	25.5180	+	17.5472i	1.43550	+	0.987106i
$317$	−3.46188	−	3.99522i	−0.194438	−	0.224394i	0.650156	−	0.759801i	$-0.274704\pi$
$317$	−3.46188	−	3.99522i	−0.194438	−	0.224394i	−0.844594	+	0.535407i	$0.820158\pi$
$318$	7.73879	−	16.2694i	0.433970	−	0.912344i
$319$	1.43458	−	9.97774i	0.0803212	−	0.558646i
$320$	6.54653	+	12.6472i	0.365962	+	0.706998i
$321$	−3.66873	+	3.17897i	−0.204769	+	0.177433i
$322$	−4.80106	−	0.0748611i	−0.267553	−	0.00417184i
$323$	1.84402	−	6.28014i	0.102604	−	0.349436i
$324$	−0.773706	−	1.84428i	−0.0429837	−	0.102460i
$325$	−1.98984	+	3.09625i	−0.110376	+	0.171749i
$326$	−2.16890	+	13.5786i	−0.120124	+	0.752049i
$327$	−1.10838	−	3.77479i	−0.0612935	−	0.208747i
$328$	−7.97767	−	19.8797i	−0.440493	−	1.09767i
$329$	5.53144	−	0.795300i	0.304958	−	0.0438463i
$330$	−0.764164	−	5.97475i	−0.0420659	−	0.328899i
$331$	−13.7440	−	15.8614i	−0.755438	−	0.871822i	0.239646	−	0.970860i	$-0.422969\pi$
$331$	−13.7440	−	15.8614i	−0.755438	−	0.871822i	−0.995084	+	0.0990386i	$0.968423\pi$
$332$	12.2537	+	6.06472i	0.672512	+	0.332845i
$333$	−1.39075	+	3.04532i	−0.0762128	+	0.166883i
$334$	27.2455	−	7.54065i	1.49081	−	0.412606i
$335$	10.1431	+	10.4609i	0.554178	+	0.571542i
$336$	3.72709	−	6.97472i	0.203329	−	0.380502i
$337$	−10.5943	−	4.83825i	−0.577108	−	0.263557i	0.105405	−	0.994429i	$-0.466386\pi$
$337$	−10.5943	−	4.83825i	−0.577108	−	0.263557i	−0.682514	+	0.730873i	$0.739113\pi$
$338$	−9.44586	−	8.44629i	−0.513787	−	0.459417i
$339$	1.19102	−	1.03203i	0.0646876	−	0.0560521i
$340$	20.6144	−	8.64808i	1.11797	−	0.469008i
$341$	−1.34169	−	9.33168i	−0.0726567	−	0.505339i
$342$	−0.232522	+	1.45573i	−0.0125734	+	0.0787168i
$343$	−19.1427	+	5.62082i	−1.03361	+	0.303496i
$344$	23.9736	−	9.62056i	1.29257	−	0.518706i
$345$	2.57183	+	1.65281i	0.138463	+	0.0889846i
$346$	29.7415	−	3.80390i	1.59891	−	0.204499i
$347$	−4.49498	−	1.31984i	−0.241303	−	0.0708530i	0.158845	−	0.987304i	$-0.449223\pi$
$347$	−4.49498	−	1.31984i	−0.241303	−	0.0708530i	−0.400148	+	0.916451i	$0.631041\pi$
$348$	−8.15492	+	2.12070i	−0.437149	+	0.113682i
$349$	−10.6234	−	12.2601i	−0.568660	−	0.656268i	0.396468	−	0.918049i	$-0.370236\pi$
$349$	−10.6234	−	12.2601i	−0.568660	−	0.656268i	−0.965127	+	0.261780i	$0.915690\pi$
$350$	−3.92102	+	3.29197i	−0.209588	+	0.175963i
$351$	1.98951	+	0.286049i	0.106192	+	0.0152681i
$352$	−10.8881	+	8.03987i	−0.580337	+	0.428526i
$353$	3.36982	−	2.91996i	0.179357	−	0.155414i	−0.560555	−	0.828117i	$-0.689412\pi$
$353$	3.36982	−	2.91996i	0.179357	−	0.155414i	0.739913	+	0.672703i	$0.234867\pi$
$354$	−2.97887	−	3.54810i	−0.158325	−	0.188579i
$355$	10.9919	−	7.06407i	0.583390	−	0.374922i
$356$	−9.21689	−	11.3323i	−0.488494	−	0.600611i
$357$	−10.4431	−	6.71138i	−0.552708	−	0.355204i
$358$	22.2728	+	19.9159i	1.17716	+	1.05259i
$359$	−12.0898	−	10.4759i	−0.638078	−	0.552898i	0.274610	−	0.961556i	$-0.411451\pi$
$359$	−12.0898	−	10.4759i	−0.638078	−	0.552898i	−0.912687	+	0.408658i	$0.865997\pi$
$360$	−4.35833	+	2.52109i	−0.229704	+	0.132873i
$361$	−11.7308	+	13.5380i	−0.617409	+	0.712528i
$362$	7.97021	−	3.49074i	0.418905	−	0.183469i
$363$	−5.06163	+	1.48623i	−0.265666	+	0.0780067i
$364$	4.08621	+	6.81659i	0.214176	+	0.357286i
$365$		−	8.63416i		−	0.451933i
$366$	2.55525	−	1.58642i	0.133565	−	0.0829234i
$367$	21.1011	+	13.5609i	1.10147	+	0.707871i	0.959418	−	0.281988i	$-0.0909938\pi$
$367$	21.1011	+	13.5609i	1.10147	+	0.707871i	0.142051	+	0.989859i	$0.454630\pi$
$368$	0.428140	−	6.85611i	0.0223183	−	0.357400i
$369$	6.88896	−	3.14608i	0.358625	−	0.163778i
$370$	8.04880	+	2.50029i	0.418437	+	0.129984i
$371$	7.09572	+	24.1658i	0.368392	+	1.25463i
$372$	−6.75916	+	4.05179i	−0.350446	+	0.210075i
$373$		−	0.0208542i		−	0.00107979i	−1.00000		0.000539896i	$-0.999828\pi$
$373$		−	0.0208542i		−	0.00107979i	1.00000		0.000539896i	$-0.000171854\pi$
$374$	11.2065	+	18.0504i	0.579476	+	0.933364i
$375$	12.0365	−	1.73059i	0.621564	−	0.0893674i
$376$	0.766538	+	7.95809i	0.0395312	+	0.410407i
$377$	2.38575	−	8.12513i	0.122873	−	0.418466i
$378$	2.52485	+	1.20098i	0.129864	+	0.0617719i
$379$	12.2878	−	7.89688i	0.631181	−	0.405635i	−0.185566	−	0.982632i	$-0.559412\pi$
$379$	12.2878	−	7.89688i	0.631181	−	0.405635i	0.816747	+	0.576996i	$0.195775\pi$
$380$	3.70943	+	0.115708i	0.190290	+	0.00593567i
$381$	7.24716	−	1.04198i	0.371283	−	0.0533825i
$382$	−10.2484	−	9.16392i	−0.524355	−	0.468867i
$383$	−11.0930	−	24.2903i	−0.566827	−	1.24118i	−0.948470	−	0.316868i	$-0.897369\pi$
$383$	−11.0930	−	24.2903i	−0.566827	−	1.24118i	0.381643	−	0.924310i	$-0.375358\pi$
$384$	9.71815	+	5.79288i	0.495928	+	0.295617i
$385$	6.36382	+	5.51428i	0.324330	+	0.281034i
$386$	27.2799	−	3.48907i	1.38851	−	0.177589i
$387$	3.79397	+	8.30763i	0.192858	+	0.422301i
$388$	0.377708	−	1.15217i	0.0191752	−	0.0584928i
$389$	−36.2474	−	10.6432i	−1.83781	−	0.539631i	−0.837834	−	0.545926i	$-0.816178\pi$
$389$	−36.2474	−	10.6432i	−1.83781	−	0.539631i	−0.999980	+	0.00629471i	$0.997996\pi$
$390$	0.0788902	−	5.05946i	0.00399476	−	0.256196i
$391$	−10.6736	−	1.53463i	−0.539788	−	0.0776098i
$392$	−2.06843	−	8.49557i	−0.104472	−	0.429091i
$393$	9.72597	+	4.44170i	0.490610	+	0.224054i
$394$	−3.96020	+	2.45868i	−0.199512	+	0.123866i
$395$	25.0734	+	11.4506i	1.26158	+	0.576145i
$396$	−3.01941	−	3.71240i	−0.151731	−	0.186555i
$397$	1.48835	−	10.3517i	0.0746979	−	0.519535i	−0.917778	−	0.397094i	$-0.870019\pi$
$397$	1.48835	−	10.3517i	0.0746979	−	0.519535i	0.992476	−	0.122441i	$-0.0390723\pi$
$398$	−22.9217	−	15.2410i	−1.14896	−	0.763963i
$399$	−1.11418	−	1.73370i	−0.0557789	−	0.0867937i
$400$	−4.44222	−	5.82369i	−0.222111	−	0.291184i
$401$			0.604054i			0.0301650i	0.999886	+	0.0150825i	$0.00480109\pi$
$401$			0.604054i			0.0301650i	−0.999886	+	0.0150825i	$0.995199\pi$
$402$	11.2295	+	2.81020i	0.560079	+	0.140160i
$403$		−	7.91984i		−	0.394515i
$404$	0.180636	−	0.0202462i	0.00898697	−	0.00100728i
$405$	−0.962412	−	1.49754i	−0.0478226	−	0.0744135i
$406$	6.52219	−	9.80903i	0.323691	−	0.486814i
$407$	−1.13997	+	7.92867i	−0.0565062	+	0.393010i
$408$	10.2897	−	14.4752i	0.509417	−	0.716627i
$409$	32.9903	+	15.0662i	1.63127	+	0.744974i	0.999543	−	0.0302208i	$-0.00962106\pi$
$409$	32.9903	+	15.0662i	1.63127	+	0.744974i	0.631722	+	0.775195i	$0.282348\pi$
$410$	−10.0564	−	16.1979i	−0.496652	−	0.799958i
$411$	−20.5114	−	9.36722i	−1.01175	−	0.462051i
$412$	0.152651	−	4.89380i	0.00752060	−	0.241100i
$413$	6.41055	+	0.921698i	0.315442	+	0.0453538i
$414$	2.42843	+	0.0378656i	0.119351	+	0.00186099i
$415$	11.6764	+	3.42850i	0.573172	+	0.168299i
$416$	−10.0148	+	5.38356i	−0.491017	+	0.263951i
$417$	−0.583287	−	1.27722i	−0.0285637	−	0.0625457i
$418$	0.447477	+	3.49867i	0.0218868	+	0.171126i
$419$	28.6928	+	24.8625i	1.40174	+	1.21461i	0.945862	+	0.324568i	$0.105219\pi$
$419$	28.6928	+	24.8625i	1.40174	+	1.21461i	0.455875	+	0.890044i	$0.349327\pi$
$420$	2.19264	−	6.68850i	0.106990	−	0.326365i
$421$	−2.09921	−	4.59663i	−0.102309	−	0.224026i	0.851554	−	0.524266i	$-0.175660\pi$
$421$	−2.09921	−	4.59663i	−0.102309	−	0.224026i	−0.953864	+	0.300240i	$0.902933\pi$
$422$	−13.4639	+	15.0572i	−0.655410	+	0.732974i
$423$	−2.79786	+	0.402272i	−0.136037	+	0.0195591i
$424$	−35.0097	+	8.52387i	−1.70022	+	0.413956i
$425$	−9.67248	+	6.21612i	−0.469184	+	0.301526i
$426$	4.45881	−	9.37386i	0.216030	−	0.454165i
$427$	−1.18457	+	4.03429i	−0.0573256	+	0.195233i
$428$	9.56228	+	1.68066i	0.462210	+	0.0812378i
$429$	4.76017	−	0.684409i	0.229823	−	0.0330436i
$430$	19.5336	−	12.1274i	0.941996	−	0.584835i
$431$		−	13.4931i		−	0.649937i	−0.945725	−	0.324969i	$-0.894646\pi$
$431$		−	13.4931i		−	0.649937i	0.945725	−	0.324969i	$-0.105354\pi$
$432$	−1.88520	+	3.52789i	−0.0907018	+	0.169736i
$433$	0.898045	+	3.05846i	0.0431573	+	0.146980i	0.978253	−	0.207415i	$-0.0665050\pi$
$433$	0.898045	+	3.05846i	0.0431573	+	0.146980i	−0.935096	+	0.354395i	$0.884687\pi$
$434$	3.26820	−	10.5208i	0.156879	−	0.505016i
$435$	−6.82209	+	3.11554i	−0.327094	+	0.149379i
$436$	−4.45823	+	6.48340i	−0.213511	+	0.310498i
$437$	−1.50600	−	0.967850i	−0.0720419	−	0.0462985i
$438$	−3.61803	−	5.82757i	−0.172876	−	0.278452i
$439$			9.97295i			0.475983i	0.971267	+	0.237991i	$0.0764890\pi$
$439$			9.97295i			0.475983i	−0.971267	+	0.237991i	$0.923511\pi$
$440$	−8.30607	+	8.72557i	−0.395976	+	0.415975i
$441$	2.96616	−	0.870943i	0.141246	−	0.0414735i
$442$	7.16042	+	16.3490i	0.340586	+	0.777642i
$443$	12.5116	−	14.4392i	0.594446	−	0.686027i	−0.376200	−	0.926538i	$-0.622770\pi$
$443$	12.5116	−	14.4392i	0.594446	−	0.686027i	0.970646	+	0.240511i	$0.0773151\pi$
$444$	6.48019	−	1.68519i	0.307536	−	0.0799754i
$445$	−9.82582	−	8.51412i	−0.465789	−	0.403608i
$446$	−21.2138	+	23.7244i	−1.00450	+	1.12338i
$447$	−1.00606	−	0.646557i	−0.0475851	−	0.0305811i
$448$	−15.5254	+	3.01888i	−0.733506	+	0.142629i
$449$	29.3428	−	18.8575i	1.38477	−	0.889939i	0.385312	−	0.922786i	$-0.374094\pi$
$449$	29.3428	−	18.8575i	1.38477	−	0.889939i	0.999460	+	0.0328475i	$0.0104576\pi$
$450$	1.98330	−	1.66511i	0.0934935	−	0.0784942i
$451$	13.6944	−	11.8662i	0.644842	−	0.558759i
$452$	−3.10432	−	0.545613i	−0.146015	−	0.0256635i
$453$	11.1045	+	1.59659i	0.521736	+	0.0750143i
$454$	−9.69460	−	11.5471i	−0.454990	−	0.541933i
$455$	4.63236	+	5.34603i	0.217168	+	0.250626i
$456$	2.55214	−	1.47629i	0.119515	−	0.0691336i
$457$	12.2908	+	3.60892i	0.574941	+	0.168818i	0.556261	−	0.831008i	$-0.312235\pi$
$457$	12.2908	+	3.60892i	0.574941	+	0.168818i	0.0186800	+	0.999826i	$0.494054\pi$
$458$	0.783373	+	6.12493i	0.0366046	+	0.286199i
$459$	5.28224	+	3.39469i	0.246554	+	0.158451i
$460$	−0.681041	−	6.07623i	−0.0317537	−	0.283306i
$461$	−20.2169	+	5.93621i	−0.941594	+	0.276477i	−0.716283	−	0.697810i	$-0.754158\pi$
$461$	−20.2169	+	5.93621i	−0.941594	+	0.276477i	−0.225311	+	0.974287i	$0.572340\pi$
$462$	6.60590	+	1.05515i	0.307334	+	0.0490902i
$463$	4.31776	+	30.0307i	0.200664	+	1.39565i	0.802322	+	0.596892i	$0.203598\pi$
$463$	4.31776	+	30.0307i	0.200664	+	1.39565i	−0.601658	+	0.798754i	$0.705493\pi$
$464$	13.5817	+	9.97691i	0.630512	+	0.463167i
$465$	−5.30099	+	4.59333i	−0.245828	+	0.213011i
$466$	22.1394	−	24.7595i	1.02559	−	1.14696i
$467$	7.02700	+	3.20912i	0.325171	+	0.148500i	0.571311	−	0.820734i	$-0.306435\pi$
$467$	7.02700	+	3.20912i	0.325171	+	0.148500i	−0.246140	+	0.969234i	$0.579162\pi$
$468$	−2.06685	−	3.44790i	−0.0955402	−	0.159379i
$469$	−14.3211	+	7.53553i	−0.661286	+	0.347959i
$470$	1.89812	+	6.85819i	0.0875537	+	0.316345i
$471$	−0.322488	+	0.706150i	−0.0148595	+	0.0325377i
$472$	−1.74600	+	9.09956i	−0.0803664	+	0.418841i
$473$	14.3099	+	16.5145i	0.657970	+	0.759338i
$474$	21.7214	−	2.77814i	0.997696	−	0.127604i
$475$	−1.88935	+	0.271647i	−0.0866893	+	0.0124640i
$476$	2.76542	+	24.6730i	0.126753	+	1.13089i
$477$	−3.58910	−	12.2233i	−0.164333	−	0.559668i
$478$	14.6172	+	2.33478i	0.668573	+	0.106791i
$479$	−8.60832	+	13.3948i	−0.393324	+	0.612024i	−0.980284	−	0.197591i	$-0.936688\pi$
$479$	−8.60832	+	13.3948i	−0.393324	+	0.612024i	0.586960	+	0.809616i	$0.300324\pi$
$480$	9.41176	+	3.58087i	0.429586	+	0.163444i
$481$	−1.89581	+	6.45653i	−0.0864414	+	0.294392i
$482$	0.411455	−	26.3878i	0.0187413	−	1.20193i
$483$	−2.56598	+	2.22343i	−0.116756	+	0.101170i
$484$	8.69360	+	5.97805i	0.395163	+	0.271730i
$485$	0.153588	−	1.06822i	0.00697405	−	0.0485056i
$486$	−1.27710	−	0.607470i	−0.0579304	−	0.0275554i
$487$	24.8287	+	28.6539i	1.12510	+	1.29843i	0.949429	+	0.313982i	$0.101663\pi$
$487$	24.8287	+	28.6539i	1.12510	+	1.29843i	0.175669	+	0.984449i	$0.443791\pi$
$488$	−5.68610	−	1.96272i	−0.257398	−	0.0888483i
$489$	5.25678	+	8.17971i	0.237720	+	0.369899i
$490$	−3.12221	−	7.12876i	−0.141047	−	0.322045i
$491$	−13.3034	+	20.7005i	−0.600373	+	0.934199i	0.399474	+	0.916744i	$0.369193\pi$
$491$	−13.3034	+	20.7005i	−0.600373	+	0.934199i	−0.999848	+	0.0174549i	$0.994444\pi$
$492$	−13.5750	−	6.71867i	−0.612010	−	0.302901i
$493$	17.3237	−	19.9926i	0.780219	−	0.900420i
$494$	−0.0461963	+	2.96270i	−0.00207847	+	0.133298i
$495$	−3.21889	−	2.78918i	−0.144678	−	0.125364i
$496$	14.8165	+	5.37431i	0.665282	+	0.241314i
$497$	4.08830	+	13.9235i	0.183385	+	0.624553i
$498$	9.31758	−	2.57880i	0.417531	−	0.115559i
$499$	−39.1013			−1.75042			−0.875208	−	0.483748i	$-0.839275\pi$
$499$	−39.1013			−1.75042			−0.875208	+	0.483748i	$0.839275\pi$
$500$	−17.8748	−	16.4919i	−0.799386	−	0.737542i
$501$	10.8073	−	16.8164i	0.482833	−	0.751303i
$502$	−11.2632	+	9.45623i	−0.502701	+	0.422052i
$503$	−1.00786	−	2.20690i	−0.0449382	−	0.0984009i	0.885831	−	0.464007i	$-0.153589\pi$
$503$	−1.00786	−	2.20690i	−0.0449382	−	0.0984009i	−0.930770	+	0.365606i	$0.880862\pi$
$504$	−1.32282	−	5.43315i	−0.0589231	−	0.242012i
$505$	0.155231	−	0.0455800i	0.00690770	−	0.00202828i
$506$	5.60050	−	1.55003i	0.248973	−	0.0689073i
$507$	−8.96002			−0.397929
$508$	−10.7624	−	9.92975i	−0.477503	−	0.440561i
$509$	−4.76550	−	33.1448i	−0.211227	−	1.46912i	−0.769067	−	0.639168i	$-0.779279\pi$
$509$	−4.76550	−	33.1448i	−0.211227	−	1.46912i	0.557840	−	0.829948i	$-0.311630\pi$
$510$	6.78999	−	14.2747i	0.300666	−	0.632096i
$511$	9.20071	+	2.70157i	0.407016	+	0.119511i
$512$	−3.27570	−	22.3891i	−0.144767	−	0.989466i
$513$	0.563566	+	0.876926i	0.0248821	+	0.0387172i
$514$	−4.98896	+	16.0602i	−0.220054	+	0.708385i
$515$	−0.620197	−	4.31357i	−0.0273292	−	0.190078i
$516$	8.10228	−	16.3706i	0.356683	−	0.720676i
$517$	−6.15192	+	2.80949i	−0.270561	+	0.123561i
$518$	−5.18277	+	7.79461i	−0.227718	+	0.342476i
$519$	13.8842	−	16.0232i	0.609447	−	0.703339i
$520$	−7.94980	+	6.26243i	−0.348622	+	0.274626i
$521$	−13.1149	+	5.98938i	−0.574575	+	0.262400i	−0.681440	−	0.731874i	$-0.738646\pi$
$521$	−13.1149	+	5.98938i	−0.574575	+	0.262400i	0.106865	+	0.994274i	$0.465919\pi$
$522$	−3.29899	+	4.96152i	−0.144393	+	0.217160i
$523$	−8.46355	+	28.8242i	−0.370085	+	1.26039i	0.538476	+	0.842641i	$0.319000\pi$
$523$	−8.46355	+	28.8242i	−0.370085	+	1.26039i	−0.908561	+	0.417753i	$0.862818\pi$
$524$	−5.38205	−	20.6961i	−0.235116	−	0.904111i
$525$	−0.515206	+	3.58334i	−0.0224854	+	0.156390i
$526$	−0.373486	−	0.116020i	−0.0162848	−	0.00505872i
$527$	10.2778	−	22.5053i	0.447709	−	0.980345i
$528$	−1.94979	+	9.36981i	−0.0848538	+	0.407769i
$529$	8.32934	−	18.2387i	0.362145	−	0.792988i
$530$	−29.3772	+	12.8664i	−1.27606	+	0.558881i
$531$	−3.24253	−	0.466205i	−0.140714	−	0.0202316i
$532$	−1.28396	+	3.91663i	−0.0556666	+	0.169807i
$533$	12.8057	−	8.22974i	0.554678	−	0.356470i
$534$	−10.1996	−	1.62917i	−0.441380	−	0.0705012i
$535$	8.64152			0.373606
$536$	−9.81094	−	20.9701i	−0.423768	−	0.905771i
$537$	21.1273			0.911709
$538$	−24.9815	−	3.99028i	−1.07703	−	0.172033i
$539$	6.22236	−	3.99887i	0.268016	−	0.172243i
$540$	−1.10906	+	3.38312i	−0.0477263	+	0.145586i
$541$	−38.8631	−	5.58767i	−1.67085	−	0.240233i	−0.759101	−	0.650972i	$-0.774361\pi$
$541$	−38.8631	−	5.58767i	−1.67085	−	0.240233i	−0.911753	+	0.410740i	$0.865270\pi$
$542$	−9.65363	+	4.22803i	−0.414659	+	0.181610i
$543$	2.55589	−	5.59662i	0.109684	−	0.240174i
$544$	−35.4448	+	2.30157i	−1.51968	+	0.0986791i
$545$	−2.90928	+	6.37044i	−0.124620	+	0.272880i
$546$	5.36676	+	1.66714i	0.229676	+	0.0713469i
$547$	4.89063	−	34.0151i	0.209108	−	1.45438i	−0.566967	−	0.823741i	$-0.691883\pi$
$547$	4.89063	−	34.0151i	0.209108	−	1.45438i	0.776075	−	0.630640i	$-0.217208\pi$
$548$	11.3503	+	43.6464i	0.484862	+	1.86448i
$549$	0.599171	−	2.04059i	0.0255720	−	0.0870902i
$550$	3.43066	−	5.15953i	0.146284	−	0.220003i
$551$	3.99486	−	1.82439i	0.170187	−	0.0777216i
$552$	−3.00583	−	3.81573i	−0.127937	−	0.162408i
$553$	−20.0473	+	23.1358i	−0.852499	+	0.983836i
$554$	0.211057	−	0.317419i	0.00896695	−	0.0134858i
$555$	5.42108	−	2.47572i	0.230112	−	0.105089i
$556$	−1.24565	+	2.51683i	−0.0528272	+	0.106737i
$557$	−0.314445	−	2.18701i	−0.0133234	−	0.0926666i	0.982075	−	0.188492i	$-0.0603600\pi$
$557$	−0.314445	−	2.18701i	−0.0133234	−	0.0926666i	−0.995398	+	0.0958255i	$0.969451\pi$
$558$	−1.65309	+	5.32155i	−0.0699810	+	0.225279i
$559$	9.92453	+	15.4429i	0.419763	+	0.653164i
$560$	−13.1449	+	5.03852i	−0.555472	+	0.212916i
$561$	14.4148	+	4.23257i	0.608594	+	0.178699i
$562$	14.9655	−	31.4623i	0.631282	−	1.32716i
$563$	−1.87330	−	13.0291i	−0.0789502	−	0.549111i	−0.990457	−	0.137825i	$-0.955989\pi$
$563$	−1.87330	−	13.0291i	−0.0789502	−	0.549111i	0.911506	−	0.411286i	$-0.134920\pi$
$564$	4.15495	+	3.83351i	0.174955	+	0.161420i
$565$	−2.80540			−0.118024
$566$	11.6898	−	3.23534i	0.491358	−	0.135992i
$567$	1.89694	−	0.556992i	0.0796640	−	0.0233915i
$568$	−20.1713	+	4.91115i	−0.846369	+	0.206067i
$569$	−0.387278	−	0.848020i	−0.0162355	−	0.0355508i	0.901341	−	0.433111i	$-0.142584\pi$
$569$	−0.387278	−	0.848020i	−0.0162355	−	0.0355508i	−0.917576	+	0.397560i	$0.869857\pi$
$570$	2.00982	−	1.68738i	0.0841820	−	0.0706766i
$571$	−3.03155	+	4.71718i	−0.126866	+	0.197408i	−0.898876	−	0.438203i	$-0.855615\pi$
$571$	−3.03155	+	4.71718i	−0.126866	+	0.197408i	0.772010	+	0.635611i	$0.219252\pi$
$572$	−7.06907	−	6.52217i	−0.295573	−	0.272706i
$573$	−9.72130			−0.406113
$574$	20.4074	−	5.64808i	0.851788	−	0.235746i
$575$	0.885971	+	3.01734i	0.0369475	+	0.125832i
$576$	7.85292	−	1.52698i	0.327205	−	0.0636243i
$577$	32.1883	+	27.8913i	1.34002	+	1.16113i	0.972971	+	0.230926i	$0.0741757\pi$
$577$	32.1883	+	27.8913i	1.34002	+	1.16113i	0.367044	+	0.930204i	$0.380370\pi$
$578$	−0.494463	+	31.7114i	−0.0205670	+	1.31902i
$579$	12.7350	−	14.6970i	0.529250	−	0.610787i
$580$	13.4433	+	6.65345i	0.558201	+	0.276269i
$581$	−7.30695	+	11.3698i	−0.303143	+	0.471700i
$582$	−0.343962	−	0.785350i	−0.0142577	−	0.0325538i
$583$	−16.4791	−	25.6419i	−0.682493	−	1.06198i
$584$	−4.47624	+	12.9679i	−0.185228	+	0.536615i
$585$	−2.34310	−	2.70408i	−0.0968752	−	0.111800i
$586$	33.5484	+	15.9578i	1.38587	+	0.659210i
$587$	−2.71089	+	18.8546i	−0.111890	+	0.778215i	0.854188	+	0.519965i	$0.174055\pi$
$587$	−2.71089	+	18.8546i	−0.111890	+	0.778215i	−0.966078	+	0.258250i	$0.916854\pi$
$588$	−5.09452	−	3.50319i	−0.210095	−	0.144469i
$589$	3.10414	−	2.68975i	0.127904	−	0.110829i
$590$	−0.128576	+	8.24596i	−0.00529339	+	0.339481i
$591$	−0.928612	+	3.16256i	−0.0381980	+	0.130090i
$592$	−10.7925	−	7.92802i	−0.443568	−	0.325840i
$593$	−24.2781	+	37.7775i	−0.996982	+	1.55133i	−0.172841	+	0.984950i	$0.555295\pi$
$593$	−24.2781	+	37.7775i	−0.996982	+	1.55133i	−0.824141	+	0.566385i	$0.808342\pi$
$594$	−3.34134	−	0.533708i	−0.137097	−	0.0218983i
$595$	6.22576	+	21.2030i	0.255231	+	0.869238i
$596$	0.266413	+	2.37693i	0.0109127	+	0.0973630i
$597$	−19.2659	+	2.77001i	−0.788499	+	0.113369i
$598$	4.84222	−	0.619315i	0.198013	−	0.0253257i
$599$	−26.1767	−	30.2095i	−1.06955	−	1.23433i	−0.970970	−	0.239199i	$-0.923115\pi$
$599$	−26.1767	−	30.2095i	−1.06955	−	1.23433i	−0.0985813	−	0.995129i	$-0.531430\pi$
$600$	−5.08643	−	0.975973i	−0.207653	−	0.0398439i
$601$	7.81675	−	17.1163i	0.318852	−	0.698188i	−0.680552	−	0.732699i	$-0.738260\pi$
$601$	7.81675	−	17.1163i	0.318852	−	0.698188i	0.999404	+	0.0345110i	$0.0109874\pi$
$602$	6.81122	+	24.6100i	0.277605	+	1.00303i
$603$	7.24376	−	3.81156i	0.294989	−	0.155219i
$604$	−11.5362	−	19.2446i	−0.469401	−	0.783051i
$605$	8.54213	+	3.90106i	0.347287	+	0.158601i
$606$	0.0856725	−	0.0958114i	0.00348021	−	0.00389207i
$607$	12.8197	−	11.1083i	0.520334	−	0.450872i	−0.354667	−	0.934993i	$-0.615406\pi$
$607$	12.8197	−	11.1083i	0.520334	−	0.450872i	0.875001	+	0.484121i	$0.160860\pi$
$608$	−5.51131	−	2.09688i	−0.223513	−	0.0850396i
$609$	−1.18539	−	8.24457i	−0.0480344	−	0.334087i
$610$	−5.28701	−	0.844489i	−0.214065	−	0.0341924i
$611$	−5.45131	+	1.60065i	−0.220536	+	0.0647553i
$612$	−1.39878	−	12.4799i	−0.0565424	−	0.504470i
$613$	8.53341	+	5.48409i	0.344661	+	0.221500i	0.701506	−	0.712663i	$-0.252511\pi$
$613$	8.53341	+	5.48409i	0.344661	+	0.221500i	−0.356845	+	0.934164i	$0.616148\pi$
$614$	3.03219	+	23.7077i	0.122369	+	0.956764i
$615$	−12.9355	−	3.79819i	−0.521608	−	0.153158i
$616$	−6.69920	−	11.5813i	−0.269919	−	0.466622i
$617$	7.10858	+	8.20374i	0.286181	+	0.330270i	0.880578	−	0.473901i	$-0.157155\pi$
$617$	7.10858	+	8.20374i	0.286181	+	0.330270i	−0.594397	+	0.804172i	$0.702609\pi$
$618$	−2.22614	−	2.65153i	−0.0895485	−	0.106660i
$619$	14.4957	+	2.08417i	0.582632	+	0.0837698i	0.427327	−	0.904097i	$-0.359455\pi$
$619$	14.4957	+	2.08417i	0.582632	+	0.0837698i	0.155304	+	0.987867i	$0.450364\pi$
$620$	13.8166	+	2.42841i	0.554890	+	0.0975271i
$621$	1.29790	−	1.12464i	0.0520829	−	0.0451301i
$622$	12.1983	−	10.2413i	0.489108	−	0.410640i
$623$	12.1472	−	7.80655i	0.486669	−	0.312763i
$624$	−2.74148	+	7.55804i	−0.109747	+	0.302564i
$625$	−10.5084	−	6.75331i	−0.420334	−	0.270133i
$626$	19.7041	−	22.0360i	0.787536	−	0.880737i
$627$	1.88491	+	1.63328i	0.0752759	+	0.0652270i
$628$	1.50263	−	0.390761i	0.0599614	−	0.0155931i
$629$	−13.7660	+	15.8868i	−0.548887	+	0.633449i
$630$	−1.99674	−	4.55904i	−0.0795520	−	0.181637i
$631$	−5.48767	+	1.61133i	−0.218461	+	0.0641458i	−0.389131	−	0.921182i	$-0.627225\pi$
$631$	−5.48767	+	1.61133i	−0.218461	+	0.0641458i	0.170671	+	0.985328i	$0.445407\pi$
$632$	−31.7221	−	30.1970i	−1.26184	−	1.20117i
$633$			14.2828i			0.567690i
$634$	3.94336	+	6.35159i	0.156611	+	0.252254i
$635$	−10.9645	−	7.04648i	−0.435114	−	0.279631i
$636$	−14.4364	+	20.9942i	−0.572441	+	0.832474i
$637$	5.65207	−	2.58121i	0.223943	−	0.102271i
$638$	−4.22908	+	13.6140i	−0.167431	+	0.538984i
$639$	−2.06791	−	7.04264i	−0.0818051	−	0.278603i
$640$	−6.32118	−	19.1222i	−0.249867	−	0.755871i
$641$			1.30046i			0.0513649i	0.999670	+	0.0256825i	$0.00817588\pi$
$641$			1.30046i			0.0513649i	−0.999670	+	0.0256825i	$0.991824\pi$
$642$	5.83254	−	3.62111i	0.230192	−	0.142914i
$643$	−18.4340	+	2.65041i	−0.726967	+	0.104522i	−0.495855	−	0.868405i	$-0.665145\pi$
$643$	−18.4340	+	2.65041i	−0.726967	+	0.104522i	−0.231112	+	0.972927i	$0.574236\pi$
$644$	6.68803	+	1.17548i	0.263545	+	0.0463206i
$645$	4.58037	−	15.5993i	0.180352	−	0.614223i
$646$	−3.97606	+	8.35896i	−0.156436	+	0.328879i
$647$	−24.3924	+	15.6760i	−0.958964	+	0.616289i	−0.923711	−	0.383089i	$-0.874860\pi$
$647$	−24.3924	+	15.6760i	−0.958964	+	0.616289i	−0.0352531	+	0.999378i	$0.511224\pi$
$648$	0.669097	+	2.74815i	0.0262846	+	0.107957i
$649$	−7.75817	+	1.11546i	−0.304535	+	0.0437855i
$650$	3.46949	−	3.88008i	0.136085	−	0.152189i
$651$	−3.23609	−	7.08605i	−0.126832	−	0.277724i
$652$	6.05778	−	18.4789i	0.237241	−	0.723688i
$653$	11.8465	+	10.2650i	0.463588	+	0.401701i	0.855093	−	0.518475i	$-0.173500\pi$
$653$	11.8465	+	10.2650i	0.463588	+	0.401701i	−0.391505	+	0.920176i	$0.628045\pi$
$654$	0.705846	+	5.51878i	0.0276008	+	0.215801i
$655$	−7.90682	−	17.3135i	−0.308945	−	0.676495i
$656$	6.70648	+	29.5417i	0.261844	+	1.15341i
$657$	−4.65382	−	1.36649i	−0.181563	−	0.0533117i
$658$	−7.90211	−	0.123215i	−0.308056	−	0.00480341i
$659$	−1.00999	−	0.145215i	−0.0393437	−	0.00565677i	0.122615	−	0.992454i	$-0.460872\pi$
$659$	−1.00999	−	0.145215i	−0.0393437	−	0.00565677i	−0.161959	+	0.986798i	$0.551781\pi$
$660$	−0.265584	+	8.51426i	−0.0103378	+	0.331417i
$661$	5.96122	+	2.72240i	0.231865	+	0.105889i	0.527960	−	0.849269i	$-0.322957\pi$
$661$	5.96122	+	2.72240i	0.231865	+	0.105889i	−0.296095	+	0.955159i	$0.595684\pi$
$662$	15.6555	+	25.2164i	0.608469	+	0.980063i
$663$	11.4801	+	5.24280i	0.445851	+	0.203613i
$664$	−15.7597	−	11.2028i	−0.611594	−	0.434753i
$665$	−0.522096	+	3.63126i	−0.0202460	+	0.140814i
$666$	2.62150	−	3.94260i	0.101581	−	0.152773i
$667$	−3.91175	−	6.08680i	−0.151464	−	0.235682i
$668$	−39.7307	+	4.45313i	−1.53723	+	0.172297i
$669$			22.5041i			0.870061i
$670$	−11.8315	−	16.8714i	−0.457092	−	0.651798i
$671$		−	5.08850i		−	0.196439i
$672$	−6.76072	+	8.90890i	−0.260800	+	0.343668i
$673$	−8.50714	−	13.2374i	−0.327926	−	0.510263i	0.637670	−	0.770310i	$-0.279898\pi$
$673$	−8.50714	−	13.2374i	−0.327926	−	0.510263i	−0.965596	+	0.260047i	$0.916262\pi$
$674$	13.7158	+	9.11988i	0.528314	+	0.351284i
$675$	0.260597	−	1.81249i	0.0100304	−	0.0697628i
$676$	11.3072	+	13.9024i	0.434892	+	0.534706i
$677$	18.3504	+	8.38035i	0.705264	+	0.322083i	0.735562	−	0.677458i	$-0.236918\pi$
$677$	18.3504	+	8.38035i	0.705264	+	0.322083i	−0.0302979	+	0.999541i	$0.509646\pi$
$678$	−1.89349	+	1.17557i	−0.0727189	+	0.0451473i
$679$	1.09026	+	0.497906i	0.0418404	+	0.0191079i
$680$	−30.7173	+	7.47881i	−1.17796	+	0.286799i
$681$	−10.5527	−	1.51724i	−0.404379	−	0.0581409i
$682$	−0.207866	+	13.3311i	−0.00795961	+	0.510473i
$683$	32.6547	+	9.58829i	1.24950	+	0.366886i	0.838576	−	0.544785i	$-0.183389\pi$
$683$	32.6547	+	9.58829i	1.24950	+	0.366886i	0.410922	+	0.911670i	$0.365207\pi$
$684$	0.649439	−	1.98107i	0.0248319	−	0.0757482i
$685$	16.6749	+	36.5129i	0.637115	+	1.39509i
$686$	27.9868	−	3.57949i	1.06854	−	0.136665i
$687$	3.29980	+	2.85929i	0.125895	+	0.109089i
$688$	−35.6254	+	8.08758i	−1.35820	+	0.308336i
$689$	−10.6370	−	23.2918i	−0.405238	−	0.887347i
$690$	−3.22291	−	2.88185i	−0.122694	−	0.109710i
$691$	−38.9706	+	5.60313i	−1.48251	+	0.213153i	−0.835569	−	0.549386i	$-0.814862\pi$
$691$	−38.9706	+	5.60313i	−1.48251	+	0.213153i	−0.646943	+	0.762539i	$0.723953\pi$
$692$	−42.3828	−	1.32204i	−1.61115	−	0.0502563i
$693$	3.97937	−	2.55739i	0.151164	−	0.0971471i
$694$	5.98288	+	2.84584i	0.227107	+	0.108027i
$695$	−0.704189	+	2.39825i	−0.0267114	+	0.0909707i
$696$	11.8615	−	1.14252i	0.449608	−	0.0433071i
$697$	47.0691	−	6.76752i	1.78287	−	0.256338i
$698$	12.1010	+	19.4911i	0.458029	+	0.737748i
$699$		−	23.4860i		−	0.888321i
$700$	6.21007	−	3.72263i	0.234719	−	0.140702i
$701$	−7.08963	−	24.1451i	−0.267772	−	0.911946i	−0.978110	−	0.208087i	$-0.933276\pi$
$701$	−7.08963	−	24.1451i	−0.267772	−	0.911946i	0.710339	−	0.703860i	$-0.248542\pi$
$702$	−2.71457	−	0.843257i	−0.102455	−	0.0318267i
$703$	−3.17446	+	1.44973i	−0.119727	+	0.0546774i
$704$	16.9987	−	8.79903i	0.640664	−	0.331626i
$705$	4.23300	+	2.72038i	0.159424	+	0.102456i
$706$	−5.35732	+	3.32608i	−0.201625	+	0.125179i
$707$			0.179679i			0.00675751i
$708$	3.36857	+	5.61943i	0.126599	+	0.211191i
$709$	−21.9021	+	6.43104i	−0.822552	+	0.241523i	−0.665814	−	0.746117i	$-0.731916\pi$
$709$	−21.9021	+	6.43104i	−0.822552	+	0.241523i	−0.156737	+	0.987640i	$0.550098\pi$
$710$	−16.9261	+	7.41316i	−0.635224	+	0.278211i
$711$	10.1402	−	11.7024i	0.380286	−	0.438873i
$712$	10.3437	+	17.8816i	0.387645	+	0.670142i
$713$	−5.11409	−	4.43138i	−0.191524	−	0.165956i
$714$	13.0869	+	11.7020i	0.489764	+	0.437936i
$715$	−7.20186	−	4.62835i	−0.269334	−	0.173091i
$716$	−26.6618	−	32.7810i	−0.996397	−	1.22508i
$717$	8.80533	−	5.65884i	0.328841	−	0.211333i
$718$	14.5468	+	17.3265i	0.542882	+	0.646620i
$719$	−11.7246	+	10.1594i	−0.437252	+	0.378881i	−0.845487	−	0.533996i	$-0.820690\pi$
$719$	−11.7246	+	10.1594i	−0.437252	+	0.378881i	0.408235	+	0.912877i	$0.366144\pi$
$720$	6.64882	−	2.54854i	0.247787	−	0.0949785i
$721$	4.79067	+	0.688794i	0.178414	+	0.0256520i
$722$	19.4020	−	16.2893i	0.722068	−	0.606226i
$723$	−12.2205	−	14.1033i	−0.454487	−	0.524506i
$724$	−11.9091	+	3.09699i	−0.442600	+	0.115099i
$725$	−7.40219	−	2.17348i	−0.274910	−	0.0807210i
$726$	7.40014	−	0.946470i	0.274645	−	0.0351268i
$727$	22.8280	+	14.6706i	0.846643	+	0.544104i	0.890526	−	0.454933i	$-0.150337\pi$
$727$	22.8280	+	14.6706i	0.846643	+	0.544104i	−0.0438834	+	0.999037i	$0.513973\pi$
$728$	−4.18591	−	10.4309i	−0.155140	−	0.386596i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	−1.92596	+	12.0577i	−0.0712832	+	0.446276i
$731$	8.16119	+	56.7623i	0.301852	+	2.09943i
$732$	−3.92230	+	1.64547i	−0.144973	+	0.0608183i
$733$	−24.4278	+	21.1668i	−0.902261	+	0.781814i	−0.976520	−	0.215425i	$-0.930886\pi$
$733$	−24.4278	+	21.1668i	−0.902261	+	0.781814i	0.0742590	+	0.997239i	$0.476341\pi$
$734$	−26.4430	−	23.6448i	−0.976029	−	0.872745i
$735$	−5.00576	−	2.28606i	−0.184640	−	0.0843224i
$736$	−2.12725	+	9.47914i	−0.0784114	+	0.349406i
$737$	14.0603	−	13.6331i	0.517918	−	0.502183i
$738$	−10.3223	+	2.85686i	−0.379968	+	0.105163i
$739$	−12.3234	+	26.9844i	−0.453323	+	0.992639i	0.535636	+	0.844449i	$0.320072\pi$
$739$	−12.3234	+	26.9844i	−0.453323	+	0.992639i	−0.988959	+	0.148190i	$0.952655\pi$
$740$	−10.6825	−	5.28707i	−0.392697	−	0.194357i
$741$	1.37206	+	1.58345i	0.0504041	+	0.0581694i
$742$	−4.51875	−	35.3306i	−0.165889	−	1.29703i
$743$	−21.7103	+	3.12146i	−0.796472	+	0.114515i	−0.528524	−	0.848918i	$-0.677254\pi$
$743$	−21.7103	+	3.12146i	−0.796472	+	0.114515i	−0.267948	+	0.963433i	$0.586345\pi$
$744$	10.3430	−	4.15064i	0.379194	−	0.152170i
$745$	0.599774	+	2.04264i	0.0219740	+	0.0748366i
$746$	−0.00465182	+	0.0291232i	−0.000170315	+	0.00106628i
$747$	3.69593	−	5.75099i	0.135227	−	0.210418i
$748$	−11.6237	−	27.7074i	−0.425004	−	1.01308i
$749$	−2.70388	+	9.20856i	−0.0987975	+	0.336473i
$750$	−17.1952	−	0.268118i	−0.627880	−	0.00979028i
$751$	18.4728	−	16.0068i	0.674084	−	0.584097i	−0.249090	−	0.968480i	$-0.580131\pi$
$751$	18.4728	−	16.0068i	0.674084	−	0.584097i	0.923174	+	0.384383i	$0.125586\pi$
$752$	0.704679	−	11.2845i	0.0256970	−	0.411505i
$753$	−1.47994	+	10.2932i	−0.0539319	+	0.375105i
$754$	−5.14415	+	10.8147i	−0.187339	+	0.393847i
$755$	−13.0781	−	15.0929i	−0.475960	−	0.549288i
$756$	−3.25809	−	2.24039i	−0.118496	−	0.0814821i
$757$	−13.0840	−	20.3591i	−0.475546	−	0.739964i	0.517754	−	0.855530i	$-0.326768\pi$
$757$	−13.0840	−	20.3591i	−0.475546	−	0.739964i	−0.993300	+	0.115566i	$0.963132\pi$
$758$	−18.9215	+	8.28712i	−0.687261	+	0.301002i
$759$	2.22151	−	3.45673i	0.0806356	−	0.125471i
$760$	−5.15445	−	0.989024i	−0.186972	−	0.0358757i
$761$	−8.40335	+	9.69798i	−0.304621	+	0.351552i	−0.887335	−	0.461126i	$-0.847446\pi$
$761$	−8.40335	+	9.69798i	−0.304621	+	0.351552i	0.582713	+	0.812678i	$0.301991\pi$
$762$	−10.3532	−	0.161433i	−0.375056	−	0.00584810i
$763$	−5.87816	−	5.09345i	−0.212804	−	0.184395i
$764$	12.2679	+	15.0836i	0.443837	+	0.545704i
$765$	−3.14906	−	10.7247i	−0.113854	−	0.387753i
$766$	10.0732	+	36.3961i	0.363961	+	1.31505i
$767$	−6.58440			−0.237749
$768$	−12.2793	−	10.2576i	−0.443092	−	0.370139i
$769$	14.3924	−	22.3951i	0.519005	−	0.807587i	−0.478507	−	0.878083i	$-0.658822\pi$
$769$	14.3924	−	22.3951i	0.519005	−	0.807587i	0.997512	+	0.0704966i	$0.0224584\pi$
$770$	−7.65711	−	9.12029i	−0.275943	−	0.328672i
$771$	4.93995	+	10.8170i	0.177908	+	0.389564i
$772$	−38.8750	−	1.21262i	−1.39914	−	0.0436432i
$773$	−22.6553	+	6.65220i	−0.814855	+	0.239263i	−0.662499	−	0.749063i	$-0.730504\pi$
$773$	−22.6553	+	6.65220i	−0.814855	+	0.239263i	−0.152356	+	0.988326i	$0.548686\pi$
$774$	−3.44519	−	12.4480i	−0.123835	−	0.447434i
$775$	−7.21516			−0.259176
$776$	−0.784481	+	1.52477i	−0.0281612	+	0.0547361i
$777$	0.941954	+	6.55143i	0.0337924	+	0.235031i
$778$	48.2457	+	22.9488i	1.72969	+	0.822754i
$779$	7.57470	+	2.22413i	0.271392	+	0.0796879i
$780$	−1.23875	+	7.04799i	−0.0443544	+	0.252359i
$781$	−9.49464	−	14.7740i	−0.339745	−	0.528654i
$782$	14.5635	+	4.52403i	0.520790	+	0.161779i
$783$	0.599583	+	4.17019i	0.0214274	+	0.149031i
$784$	0.993539	+	12.3255i	0.0354836	+	0.440198i
$785$	1.25704	−	0.574071i	0.0448657	−	0.0204895i
$786$	−12.5916	−	8.37239i	−0.449129	−	0.298633i
$787$	0.968425	−	1.11762i	0.0345206	−	0.0398389i	−0.738227	−	0.674553i	$-0.764337\pi$
$787$	0.968425	−	1.11762i	0.0345206	−	0.0398389i	0.772747	+	0.634714i	$0.218882\pi$
$788$	6.07890	−	2.55019i	0.216552	−	0.0908469i
$789$	−0.251553	+	0.114880i	−0.00895551	+	0.00408985i
$790$	−32.4611	−	21.5839i	−1.15491	−	0.767921i
$791$	0.877792	−	2.98948i	0.0312107	−	0.106294i
$792$	3.38853	+	5.85793i	0.120406	+	0.208153i
$793$	0.608350	−	4.23117i	0.0216031	−	0.150253i
$794$	−4.38757	+	14.1242i	−0.155709	+	0.501250i
$795$	−9.42068	+	20.6284i	−0.334117	+	0.731615i
$796$	28.6107	+	26.3972i	1.01408	+	0.935625i
$797$	13.6814	−	29.9581i	0.484621	−	1.06117i	−0.496546	−	0.868010i	$-0.665399\pi$
$797$	13.6814	−	29.9581i	0.484621	−	1.06117i	0.981167	−	0.193161i	$-0.0618740\pi$
$798$	1.16924	+	2.66967i	0.0413908	+	0.0945052i
$799$	−17.5678	−	2.52587i	−0.621505	−	0.0893589i
$800$	4.90455	+	9.12374i	0.173402	+	0.322573i
$801$	−6.14420	+	3.94864i	−0.217095	+	0.139518i
$802$	0.134742	−	0.843568i	0.00475792	−	0.0297874i
$803$	−11.6050			−0.409530
$804$	−15.0553	−	6.42937i	−0.530961	−	0.226747i
$805$	6.04404			0.213024
$806$	−1.76663	+	11.0601i	−0.0622267	+	0.389577i
$807$	−15.0488	+	9.67127i	−0.529743	+	0.340445i
$808$	−0.256776	−	0.0120192i	−0.00903335	−	0.000422835i
$809$	27.5118	+	3.95560i	0.967264	+	0.139072i	0.607803	−	0.794088i	$-0.292051\pi$
$809$	27.5118	+	3.95560i	0.967264	+	0.139072i	0.359462	+	0.933160i	$0.382960\pi$
$810$	1.00997	+	2.30601i	0.0354868	+	0.0810250i
$811$	−0.162705	+	0.356275i	−0.00571335	+	0.0125105i	−0.912467	−	0.409150i	$-0.865825\pi$
$811$	−0.162705	+	0.356275i	−0.00571335	+	0.0125105i	0.906754	+	0.421660i	$0.138553\pi$
$812$	−11.2963	+	12.2436i	−0.396424	+	0.429665i
$813$	−3.09573	+	6.77871i	−0.108572	+	0.237740i
$814$	3.36058	−	10.8182i	0.117788	−	0.379177i
$815$	2.46328	−	17.1325i	0.0862848	−	0.600124i
$816$	−17.5986	+	17.9195i	−0.616073	+	0.627307i
$817$	−2.68216	+	9.13460i	−0.0938369	+	0.319579i
$818$	−42.7106	−	28.3990i	−1.49334	−	0.992947i
$819$	3.61466	−	1.65076i	0.126306	−	0.0576822i
$820$	10.4308	+	24.8638i	0.364258	+	0.868282i
$821$	10.3502	−	11.9448i	0.361226	−	0.416877i	−0.545824	−	0.837900i	$-0.683783\pi$
$821$	10.3502	−	11.9448i	0.361226	−	0.416877i	0.907050	+	0.421023i	$0.138329\pi$
$822$	26.5548	+	17.6568i	0.926207	+	0.615850i
$823$	−47.9763	+	21.9101i	−1.67235	+	0.763736i	−0.672632	+	0.739977i	$0.734836\pi$
$823$	−47.9763	+	21.9101i	−1.67235	+	0.763736i	−0.999718	+	0.0237589i	$0.992437\pi$
$824$	−1.30481	+	6.80020i	−0.0454551	+	0.236896i
$825$	−0.623513	−	4.33663i	−0.0217079	−	0.150982i
$826$	−8.74680	−	2.71712i	−0.304340	−	0.0945407i
$827$	−6.11022	−	9.50769i	−0.212473	−	0.330615i	0.718616	−	0.695408i	$-0.244776\pi$
$827$	−6.11022	−	9.50769i	−0.212473	−	0.330615i	−0.931089	+	0.364793i	$0.881140\pi$
$828$	−3.38288	−	0.594573i	−0.117563	−	0.0206628i
$829$	42.3325	+	12.4299i	1.47027	+	0.431710i	0.916187	−	0.400752i	$-0.131251\pi$
$829$	42.3325	+	12.4299i	1.47027	+	0.431710i	0.554082	+	0.832462i	$0.313069\pi$
$830$	−15.5415	−	7.39252i	−0.539452	−	0.256598i
$831$	−0.0383590	−	0.266793i	−0.00133066	−	0.00925494i
$832$	15.1867	−	5.28426i	0.526503	−	0.183199i
$833$	19.4108			0.672545
$834$	0.529666	+	1.91376i	0.0183408	+	0.0662682i
$835$	−34.1430	+	10.0253i	−1.18157	+	0.346939i
$836$	0.155520	−	4.98575i	0.00537876	−	0.172436i
$837$	1.63685	+	3.58420i	0.0565778	+	0.123888i
$838$	−34.5240	−	41.1211i	−1.19261	−	1.42050i
$839$	−2.69043	+	4.18639i	−0.0928840	+	0.144530i	−0.884586	−	0.466377i	$-0.845559\pi$
$839$	−2.69043	+	4.18639i	−0.0928840	+	0.144530i	0.791702	+	0.610908i	$0.209195\pi$
$840$	−4.55400	+	8.85146i	−0.157128	+	0.305404i
$841$	−11.2500			−0.387931
$842$	1.90623	+	6.88750i	0.0656931	+	0.237359i
$843$	−6.94070	−	23.6379i	−0.239051	−	0.814131i
$844$	22.1611	−	18.0243i	0.762818	−	0.620422i
$845$	12.0542	+	10.4450i	0.414678	+	0.359320i
$846$	3.99698	+	0.0623233i	0.137419	+	0.00214272i
$847$	−6.82981	+	7.88203i	−0.234675	+	0.270830i
$848$	50.7927	−	4.09431i	1.74423	−	0.140599i
$849$	4.63690	−	7.21515i	0.159138	−	0.247623i
$850$	14.8943	−	6.52331i	0.510871	−	0.223748i
$851$	3.10842	+	4.83679i	0.106555	+	0.165803i
$852$	−8.31774	+	12.0961i	−0.284961	+	0.414405i
$853$	−10.6212	−	12.2575i	−0.363662	−	0.419688i	0.544201	−	0.838955i	$-0.316833\pi$
$853$	−10.6212	−	12.2575i	−0.363662	−	0.419688i	−0.907863	+	0.419266i	$0.862287\pi$
$854$	2.55417	−	5.36970i	0.0874020	−	0.183747i
$855$	0.264082	−	1.83673i	0.00903141	−	0.0628148i
$856$	−12.9789	−	4.48006i	−0.443611	−	0.153125i
$857$	20.3404	−	17.6251i	0.694816	−	0.602062i	−0.234161	−	0.972198i	$-0.575234\pi$
$857$	20.3404	−	17.6251i	0.694816	−	0.602062i	0.928978	+	0.370136i	$0.120689\pi$
$858$	−6.80029	−	0.106034i	−0.232158	−	0.00361995i
$859$	−2.61289	+	8.89867i	−0.0891505	+	0.303619i	−0.991983	−	0.126375i	$-0.959666\pi$
$859$	−2.61289	+	8.89867i	−0.0891505	+	0.303619i	0.902832	+	0.429993i	$0.141484\pi$
$860$	−29.9841	+	12.5788i	−1.02245	+	0.428934i
$861$	8.09484	−	12.5958i	0.275871	−	0.429264i
$862$	−3.00980	+	18.8432i	−0.102514	+	0.641802i
$863$	−11.8469	−	40.3469i	−0.403274	−	1.37342i	−0.871751	−	0.489949i	$-0.837015\pi$
$863$	−11.8469	−	40.3469i	−0.403274	−	1.37342i	0.468477	−	0.883475i	$-0.344803\pi$
$864$	3.41965	−	4.50622i	0.116339	−	0.153305i
$865$	−37.3577	+	5.37122i	−1.27020	+	0.182627i
$866$	−0.571899	−	4.47149i	−0.0194339	−	0.151947i
$867$	14.6859	+	16.9485i	0.498761	+	0.575600i
$868$	−6.91089	+	13.9634i	−0.234571	+	0.473950i
$869$	15.3905	−	33.7006i	0.522088	−	1.14321i
$870$	10.2221	−	2.82913i	0.346561	−	0.0959166i
$871$	13.3212	−	9.65520i	0.451373	−	0.327154i
$872$	7.67218	−	8.05967i	0.259813	−	0.272935i
$873$	−0.551467	−	0.251846i	−0.0186643	−	0.00852371i
$874$	1.88726	+	1.68755i	0.0638375	+	0.0570821i
$875$	18.1691	−	15.7436i	0.614229	−	0.532232i
$876$	3.75270	+	8.94531i	0.126792	+	0.302234i
$877$	1.74694	+	12.1503i	0.0589901	+	0.410285i	0.997825	+	0.0659179i	$0.0209975\pi$
$877$	1.74694	+	12.1503i	0.0589901	+	0.410285i	−0.938835	+	0.344368i	$0.888093\pi$
$878$	2.22460	−	13.9273i	0.0750766	−	0.470025i
$879$	25.2052	−	7.40090i	0.850149	−	0.249626i
$880$	13.5459	−	10.3326i	0.456631	−	0.348311i
$881$	23.4193	+	15.0506i	0.789015	+	0.507069i	0.872014	−	0.489480i	$-0.162814\pi$
$881$	23.4193	+	15.0506i	0.789015	+	0.507069i	−0.0829993	+	0.996550i	$0.526450\pi$
$882$	−4.33655	+	0.554640i	−0.146019	+	0.0186757i
$883$	27.1509	+	7.97222i	0.913700	+	0.268287i	0.704597	−	0.709607i	$-0.251128\pi$
$883$	27.1509	+	7.97222i	0.913700	+	0.268287i	0.209103	+	0.977894i	$0.432946\pi$
$884$	−6.35274	−	24.4288i	−0.213666	−	0.821628i
$885$	3.81881	+	4.40714i	0.128368	+	0.148144i
$886$	−20.6935	+	17.3736i	−0.695212	+	0.583678i
$887$	52.2714	+	7.51549i	1.75510	+	0.252345i	0.943383	−	0.331705i	$-0.107624\pi$
$887$	52.2714	+	7.51549i	1.75510	+	0.252345i	0.811717	+	0.584050i	$0.198533\pi$
$888$	−9.42556	+	0.907888i	−0.316301	+	0.0304667i
$889$	10.9396	−	9.47921i	0.366902	−	0.317922i
$890$	11.8227	+	14.0818i	0.396297	+	0.472025i
$891$	−2.01281	+	1.29355i	−0.0674317	+	0.0433357i
$892$	34.9174	−	28.3993i	1.16912	−	0.950880i
$893$	−2.47875	−	1.59299i	−0.0829481	−	0.0533075i
$894$	1.26075	+	1.12734i	0.0421659	+	0.0377039i
$895$	−28.4232	−	24.6289i	−0.950084	−	0.823252i
$896$	22.3548	−	0.752751i	0.746821	−	0.0251476i
$897$	2.26049	−	2.60874i	0.0754754	−	0.0871033i
$898$	−45.1839	+	19.7894i	−1.50781	+	0.660380i
$899$	15.9282	−	4.67695i	0.531237	−	0.155985i
$900$	−3.14112	+	1.88295i	−0.104704	+	0.0627650i
$901$		−	79.9907i		−	2.66488i
$902$	−21.7712	+	13.5166i	−0.724903	+	0.450054i
$903$	15.1897	+	9.76185i	0.505483	+	0.324854i
$904$	4.21351	+	1.45441i	0.140139	+	0.0483731i
$905$	−9.96272	+	4.54982i	−0.331172	+	0.151241i
$906$	−15.1514	−	4.70667i	−0.503373	−	0.156369i
$907$	10.0033	+	34.0680i	0.332153	+	1.13121i	0.941136	+	0.338027i	$0.109759\pi$
$907$	10.0033	+	34.0680i	0.332153	+	1.13121i	−0.608983	+	0.793183i	$0.708422\pi$
$908$	10.9629	+	18.2882i	0.363816	+	0.606915i
$909$		−	0.0908835i		−	0.00301441i
$910$	−5.27664	−	8.49910i	−0.174919	−	0.281742i
$911$	22.1249	−	3.18109i	0.733032	−	0.105394i	0.234317	−	0.972160i	$-0.424715\pi$
$911$	22.1249	−	3.18109i	0.733032	−	0.105394i	0.498715	+	0.866766i	$0.333806\pi$
$912$	−3.89340	+	1.49237i	−0.128923	+	0.0494172i
$913$	4.60817	−	15.6940i	0.152508	−	0.519395i
$914$	−16.3593	−	7.78153i	−0.541117	−	0.257390i
$915$	−3.18488	+	2.04680i	−0.105289	+	0.0676650i
$916$	0.272260	−	8.72828i	0.00899571	−	0.288390i
$917$	20.9236	−	3.00836i	0.690957	−	0.0993447i
$918$	−6.61948	−	5.91900i	−0.218475	−	0.195356i
$919$	21.4935	+	47.0641i	0.709004	+	1.55250i	0.828701	+	0.559692i	$0.189081\pi$
$919$	21.4935	+	47.0641i	0.709004	+	1.55250i	−0.119697	+	0.992811i	$0.538192\pi$
$920$	−0.404303	+	8.63744i	−0.0133295	+	0.284768i
$921$	12.7725	+	11.0674i	0.420867	+	0.364684i
$922$	29.5573	−	3.78034i	0.973416	−	0.124499i
$923$	−6.12866	−	13.4199i	−0.201727	−	0.441721i
$924$	−8.98984	−	2.94707i	−0.295744	−	0.0969514i
$925$	5.88205	+	1.72713i	0.193401	+	0.0567875i
$926$	0.668944	−	42.9014i	0.0219829	−	1.40983i
$927$	−2.42317	−	0.348400i	−0.0795874	−	0.0114429i
$928$	−16.7414	−	16.9624i	−0.549565	−	0.556819i
$929$	0.828674	+	0.378443i	0.0271879	+	0.0124163i	0.428963	−	0.903322i	$-0.358879\pi$
$929$	0.828674	+	0.378443i	0.0271879	+	0.0124163i	−0.401775	+	0.915739i	$0.631606\pi$
$930$	8.42750	−	5.23219i	0.276348	−	0.171570i
$931$	2.93126	+	1.33866i	0.0960681	+	0.0438729i
$932$	−36.4408	+	29.6384i	−1.19366	+	0.970837i
$933$	1.60281	−	11.1478i	0.0524736	−	0.364962i
$934$	−9.09744	−	6.04904i	−0.297677	−	0.197931i
$935$	−14.4587	−	22.4981i	−0.472849	−	0.735768i
$936$	2.11728	+	5.27607i	0.0692054	+	0.172454i
$937$			41.0584i			1.34132i	0.741765	+	0.670660i	$0.233989\pi$
$937$			41.0584i			1.34132i	−0.741765	+	0.670660i	$0.766011\pi$
$938$	21.6804	−	7.32895i	0.707892	−	0.239299i
$939$		−	20.9026i		−	0.682132i
$940$	−1.12093	−	10.0009i	−0.0365608	−	0.326195i
$941$	−5.05479	−	7.86541i	−0.164782	−	0.256405i	0.749037	−	0.662529i	$-0.230517\pi$
$941$	−5.05479	−	7.86541i	−0.164782	−	0.256405i	−0.913818	+	0.406123i	$0.866880\pi$
$942$	0.607874	−	0.914211i	0.0198056	−	0.0297866i
$943$	1.85098	−	12.8738i	0.0602761	−	0.419230i
$944$	4.46809	−	12.3182i	0.145424	−	0.400922i
$945$	−3.20132	−	1.46200i	−0.104139	−	0.0475587i
$946$	−16.3001	−	26.2547i	−0.529964	−	0.853614i
$947$	34.3523	+	15.6882i	1.11630	+	0.509797i	0.886169	−	0.463362i	$-0.153357\pi$
$947$	34.3523	+	15.6882i	1.11630	+	0.509797i	0.230132	+	0.973160i	$0.426084\pi$
$948$	−30.9538	−	0.965537i	−1.00533	−	0.0313592i
$949$	−9.64971	−	1.38742i	−0.313243	−	0.0450375i
$950$	2.69909	+	0.0420859i	0.0875701	+	0.00136545i
$951$	5.07230	+	1.48936i	0.164480	+	0.0482958i
$952$	1.64170	−	35.0730i	0.0532079	−	1.13672i
$953$	10.6528	+	23.3263i	0.345078	+	0.755614i	1.00000		8.17216e-5i	$-2.60128e-5\pi$
$953$	10.6528	+	23.3263i	0.345078	+	0.755614i	−0.654922	+	0.755696i	$0.727299\pi$
$954$	2.28563	+	17.8706i	0.0740001	+	0.578583i
$955$	13.0784	+	11.3325i	0.423207	+	0.366711i
$956$	−19.8922	−	6.52110i	−0.643360	−	0.210908i
$957$	4.18752	+	9.16940i	0.135363	+	0.296405i
$958$	15.0095	−	16.7858i	0.484935	−	0.542324i
$959$	−44.1263	+	6.34440i	−1.42491	+	0.204871i
$960$	−12.3449	−	7.10015i	−0.398429	−	0.229156i
$961$	−13.0177	+	8.36599i	−0.419927	+	0.269871i
$962$	4.08773	−	8.59372i	0.131794	−	0.277073i
$963$	1.36765	−	4.65779i	0.0440719	−	0.150095i
$964$	−6.46076	+	36.7591i	−0.208087	+	1.18393i
$965$	−34.2658	+	4.92667i	−1.10305	+	0.158595i
$966$	4.07938	−	2.53267i	0.131252	−	0.0814874i
$967$			12.2859i			0.395089i	0.980294	+	0.197545i	$0.0632967\pi$
$967$			12.2859i			0.395089i	−0.980294	+	0.197545i	$0.936703\pi$
$968$	−10.8072	−	10.2876i	−0.347357	−	0.330657i
$969$	1.84402	+	6.28014i	0.0592383	+	0.201747i
$970$	−0.452768	+	1.45753i	−0.0145375	+	0.0467984i
$971$	17.8769	−	8.16409i	0.573696	−	0.261998i	−0.107371	−	0.994219i	$-0.534243\pi$
$971$	17.8769	−	8.16409i	0.573696	−	0.261998i	0.681067	+	0.732221i	$0.261516\pi$
$972$	1.64798	+	1.13321i	0.0528589	+	0.0363478i
$973$	−2.33528	−	1.50079i	−0.0748656	−	0.0481132i
$974$	−28.2820	−	45.5539i	−0.906213	−	1.45964i
$975$		−	3.68052i		−	0.117871i
$976$	7.50290	+	4.00933i	0.240162	+	0.128335i
$977$	46.6364	−	13.6937i	1.49203	−	0.438100i	0.568843	−	0.822446i	$-0.307391\pi$
$977$	46.6364	−	13.6937i	1.49203	−	0.438100i	0.923189	+	0.384346i	$0.125573\pi$
$978$	−5.51656	−	12.5956i	−0.176400	−	0.402764i
$979$	−11.4436	+	13.2066i	−0.365740	+	0.422086i
$980$	2.77003	+	10.6518i	0.0884854	+	0.340261i
$981$	2.97324	+	2.57632i	0.0949281	+	0.0822557i
$982$	23.1958	−	25.9409i	0.740209	−	0.827809i
$983$	26.6462	+	17.1245i	0.849881	+	0.546186i	0.891538	−	0.452946i	$-0.149627\pi$
$983$	26.6462	+	17.1245i	0.849881	+	0.546186i	−0.0416564	+	0.999132i	$0.513263\pi$
$984$	17.4590	+	12.4108i	0.556573	+	0.395641i
$985$	4.93601	−	3.17218i	0.157274	−	0.101074i
$986$	−28.6523	+	24.0556i	−0.912475	+	0.766086i
$987$	−4.22337	+	3.65957i	−0.134431	+	0.116485i
$988$	0.725383	−	4.12714i	0.0230775	−	0.131302i
$989$	15.5250	+	2.23216i	0.493666	+	0.0709785i
$990$	3.87305	+	4.61314i	0.123094	+	0.146615i
$991$	35.4666	+	40.9307i	1.12663	+	1.30021i	0.948705	+	0.316162i	$0.102394\pi$
$991$	35.4666	+	40.9307i	1.12663	+	1.30021i	0.177929	+	0.984043i	$0.443060\pi$
$992$	−19.4926	−	10.8103i	−0.618892	−	0.343227i
$993$	20.1375	+	5.91290i	0.639044	+	0.187640i
$994$	−2.60354	−	20.3562i	−0.0825793	−	0.645660i
$995$	29.1481	+	18.7324i	0.924058	+	0.593856i
$996$	−13.5873	+	1.52291i	−0.430531	+	0.0482552i
$997$	24.5611	−	7.21178i	0.777857	−	0.228399i	0.131379	−	0.991332i	$-0.458059\pi$
$997$	24.5611	−	7.21178i	0.777857	−	0.228399i	0.646478	+	0.762933i	$0.276241\pi$
$998$	54.6054	+	8.72207i	1.72850	+	0.276092i
$999$	−0.476451	−	3.31379i	−0.0150742	−	0.104844i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.u.b.43.3	yes	340
4.3	odd	2		804.2.u.a.43.7	✓	340
67.53	odd	22		804.2.u.a.187.7	yes	340
268.187	even	22	inner	804.2.u.b.187.3	yes	340

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.u.a.43.7	✓	340	4.3	odd	2
804.2.u.a.187.7	yes	340	67.53	odd	22
804.2.u.b.43.3	yes	340	1.1	even	1	trivial
804.2.u.b.187.3	yes	340	268.187	even	22	inner

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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.u (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39651 - 0.223063i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(1.90049 + 0.623021i) q^{4} +(1.76201 + 0.253339i) q^{5} +(1.29542 - 0.567358i) q^{6} +(-0.821285 + 1.79836i) q^{7} +(-2.51508 - 1.29398i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(-1.39651 - 0.223063i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(1.90049 + 0.623021i) q^{4} +(1.76201 + 0.253339i) q^{5} +(1.29542 - 0.567358i) q^{6} +(-0.821285 + 1.79836i) q^{7} +(-2.51508 - 1.29398i) q^{8} +(0.415415 - 0.909632i) q^{9} +(-2.40416 - 0.746831i) q^{10} +(0.340507 - 2.36828i) q^{11} +(-1.93562 + 0.503362i) q^{12} +(0.566274 - 1.92855i) q^{13} +(1.54808 - 2.32824i) q^{14} +(-1.61927 + 0.739494i) q^{15} +(3.22369 + 2.36808i) q^{16} +(4.11188 - 4.74536i) q^{17} +(-0.783037 + 1.17765i) q^{18} +(0.948204 - 0.433030i) q^{19} +(3.19084 + 1.57924i) q^{20} +(-0.281360 - 1.95690i) q^{21} +(-1.00380 + 3.23137i) q^{22} +(-0.928479 - 1.44474i) q^{23} +(2.81540 - 0.271184i) q^{24} +(-1.75696 - 0.515889i) q^{25} +(-1.22100 + 2.56693i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-2.68126 + 2.90609i) q^{28} +4.21308 q^{29} +(2.42628 - 0.671512i) q^{30} +(3.78067 - 1.11010i) q^{31} +(-3.97369 - 4.02614i) q^{32} +(0.993935 + 2.17641i) q^{33} +(-6.80080 + 5.70974i) q^{34} +(-1.90271 + 2.96068i) q^{35} +(1.35621 - 1.46993i) q^{36} -3.34786 q^{37} +(-1.42077 + 0.393222i) q^{38} +(0.566274 + 1.92855i) q^{39} +(-4.10378 - 2.91718i) q^{40} +(5.72355 + 4.95949i) q^{41} +(-0.0435906 + 2.79559i) q^{42} +(-5.98082 + 6.90223i) q^{43} +(2.12261 - 4.28874i) q^{44} +(0.962412 - 1.49754i) q^{45} +(0.974362 + 2.22471i) q^{46} +(-1.52819 - 2.37791i) q^{47} +(-3.99222 - 0.249300i) q^{48} +(2.02442 + 2.33631i) q^{49} +(2.33853 + 1.11236i) q^{50} +(-0.893597 + 6.21510i) q^{51} +(2.27772 - 3.31238i) q^{52} +(9.62778 - 8.34251i) q^{53} +(0.0220486 - 1.41404i) q^{54} +(1.19996 - 4.08667i) q^{55} +(4.39265 - 3.46029i) q^{56} +(-0.563566 + 0.876926i) q^{57} +(-5.88361 - 0.939783i) q^{58} +(-0.922919 - 3.14317i) q^{59} +(-3.53811 + 0.396561i) q^{60} +(2.10509 - 0.302666i) q^{61} +(-5.52737 + 0.706945i) q^{62} +(1.29467 + 1.49413i) q^{63} +(4.65121 + 6.50893i) q^{64} +(1.48636 - 3.25467i) q^{65} +(-0.902563 - 3.26110i) q^{66} +(6.47628 + 5.00578i) q^{67} +(10.7710 - 6.45671i) q^{68} +(1.56217 + 0.713420i) q^{69} +(3.31757 - 3.71019i) q^{70} +(5.54718 - 4.80665i) q^{71} +(-2.22185 + 1.75025i) q^{72} +(-0.690269 - 4.80092i) q^{73} +(4.67533 + 0.746785i) q^{74} +(1.75696 - 0.515889i) q^{75} +(2.07183 - 0.232217i) q^{76} +(3.97937 + 2.55739i) q^{77} +(-0.360619 - 2.81956i) q^{78} +(14.8572 + 4.36247i) q^{79} +(5.08026 + 4.98928i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-6.88672 - 8.20269i) q^{82} +(6.76663 + 0.972894i) q^{83} +(0.684469 - 3.89435i) q^{84} +(8.44737 - 7.31969i) q^{85} +(9.89191 - 8.30494i) q^{86} +(-3.54426 + 2.27776i) q^{87} +(-3.92091 + 5.51579i) q^{88} +(-6.14420 - 3.94864i) q^{89} +(-1.67807 + 1.87666i) q^{90} +(3.00316 + 2.60226i) q^{91} +(-0.864457 - 3.32417i) q^{92} +(-2.58033 + 2.97786i) q^{93} +(1.60371 + 3.66167i) q^{94} +(1.78045 - 0.522788i) q^{95} +(5.51957 + 1.23867i) q^{96} -0.606253i q^{97} +(-2.30598 - 3.71426i) q^{98} +(-2.01281 - 1.29355i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 340 q + 34 q^{3} - 2 q^{4} - 11 q^{6} + 4 q^{7} + 27 q^{8} - 34 q^{9}+O(q^{10}) \) 340 * q + 34 * q^3 - 2 * q^4 - 11 * q^6 + 4 * q^7 + 27 * q^8 - 34 * q^9	\( 340 q + 34 q^{3} - 2 q^{4} - 11 q^{6} + 4 q^{7} + 27 q^{8} - 34 q^{9} - 27 q^{10} - 9 q^{12} + 4 q^{14} - 2 q^{16} - 12 q^{20} - 4 q^{21} - 3 q^{22} + 6 q^{24} + 34 q^{25} - 10 q^{26} + 34 q^{27} + 47 q^{28} + 16 q^{29} - 6 q^{30} - 4 q^{31} - 55 q^{32} + 9 q^{36} - 12 q^{37} + 26 q^{38} - 37 q^{40} - 4 q^{42} - 4 q^{43} - 51 q^{44} - 103 q^{46} + 2 q^{48} - 46 q^{49} - 51 q^{50} + 32 q^{52} - 14 q^{56} + 66 q^{57} + 92 q^{58} + 67 q^{60} + 2 q^{62} - 18 q^{63} + 7 q^{64} - 8 q^{66} - 18 q^{67} - 208 q^{68} + 56 q^{70} - 6 q^{72} + 54 q^{73} + 22 q^{74} - 34 q^{75} - 56 q^{76} + 8 q^{77} + 10 q^{78} + 10 q^{79} - 68 q^{80} - 34 q^{81} + 84 q^{82} + 8 q^{84} + 104 q^{86} - 16 q^{87} - 82 q^{88} - 27 q^{90} + 134 q^{92} + 4 q^{93} + 32 q^{94} - 40 q^{95} - 7 q^{98}+O(q^{100}) \) 340 * q + 34 * q^3 - 2 * q^4 - 11 * q^6 + 4 * q^7 + 27 * q^8 - 34 * q^9 - 27 * q^10 - 9 * q^12 + 4 * q^14 - 2 * q^16 - 12 * q^20 - 4 * q^21 - 3 * q^22 + 6 * q^24 + 34 * q^25 - 10 * q^26 + 34 * q^27 + 47 * q^28 + 16 * q^29 - 6 * q^30 - 4 * q^31 - 55 * q^32 + 9 * q^36 - 12 * q^37 + 26 * q^38 - 37 * q^40 - 4 * q^42 - 4 * q^43 - 51 * q^44 - 103 * q^46 + 2 * q^48 - 46 * q^49 - 51 * q^50 + 32 * q^52 - 14 * q^56 + 66 * q^57 + 92 * q^58 + 67 * q^60 + 2 * q^62 - 18 * q^63 + 7 * q^64 - 8 * q^66 - 18 * q^67 - 208 * q^68 + 56 * q^70 - 6 * q^72 + 54 * q^73 + 22 * q^74 - 34 * q^75 - 56 * q^76 + 8 * q^77 + 10 * q^78 + 10 * q^79 - 68 * q^80 - 34 * q^81 + 84 * q^82 + 8 * q^84 + 104 * q^86 - 16 * q^87 - 82 * q^88 - 27 * q^90 + 134 * q^92 + 4 * q^93 + 32 * q^94 - 40 * q^95 - 7 * q^98

Introduction

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