LMFDB - Embedded newform 841.2.d.i.778.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [841,2,Mod(190,841)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(841, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2]))

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

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

chi := DirichletCharacter("841.190");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 841 = 29^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	841.d (of order $7$, degree $6$, not 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:	$6.71541880999$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{7})$
Coefficient field:	12.0.4413675765625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - x^{11} + 2x^{10} - 3x^{9} + 5x^{8} - 8x^{7} + 13x^{6} + 8x^{5} + 5x^{4} + 3x^{3} + 2x^{2} + x + 1 $ x^12 - x^11 + 2x^10 - 3x^9 + 5x^8 - 8x^7 + 13x^6 + 8x^5 + 5x^4 + 3x^3 + 2*x^2 + x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			778.2
Root			$0.385338 + 0.483198i$ of defining polynomial
Character	$\chi$	$=$	841.778
Dual form			841.2.d.i.574.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.385338 + 0.483198i) q^{2} +(0.137526 + 0.602539i) q^{3} +(0.360046 - 1.57747i) q^{4} +(2.40299 + 3.01326i) q^{5} +(-0.238152 + 0.298633i) q^{6} +(0.497572 + 2.18001i) q^{7} +(2.01463 - 0.970194i) q^{8} +(2.35877 - 1.13592i) q^{9} +O(q^{10})$	\(q+(0.385338 + 0.483198i) q^{2} +(0.137526 + 0.602539i) q^{3} +(0.360046 - 1.57747i) q^{4} +(2.40299 + 3.01326i) q^{5} +(-0.238152 + 0.298633i) q^{6} +(0.497572 + 2.18001i) q^{7} +(2.01463 - 0.970194i) q^{8} +(2.35877 - 1.13592i) q^{9} +(-0.530037 + 2.32225i) q^{10} +(1.24511 + 0.599613i) q^{11} +1.00000 q^{12} +(0.212690 + 0.102426i) q^{13} +(-0.861642 + 1.08046i) q^{14} +(-1.48513 + 1.86230i) q^{15} +(-1.67049 - 0.804465i) q^{16} -4.38197 q^{17} +(1.45780 + 0.702039i) q^{18} +(1.08014 - 4.73240i) q^{19} +(5.61850 - 2.70573i) q^{20} +(-1.24511 + 0.599613i) q^{21} +(0.190056 + 0.832688i) q^{22} +(-0.770676 + 0.966397i) q^{23} +(0.861642 + 1.08046i) q^{24} +(-2.19274 + 9.60704i) q^{25} +(0.0324654 + 0.142240i) q^{26} +(2.16484 + 2.71463i) q^{27} +3.61803 q^{28} -1.47214 q^{30} +(-6.29112 - 7.88881i) q^{31} +(-1.25013 - 5.47718i) q^{32} +(-0.190056 + 0.832688i) q^{33} +(-1.68854 - 2.11736i) q^{34} +(-5.37326 + 6.73785i) q^{35} +(-0.942614 - 4.12986i) q^{36} +(-4.24195 + 2.04281i) q^{37} +(2.70291 - 1.30165i) q^{38} +(-0.0324654 + 0.142240i) q^{39} +(7.76458 + 3.73922i) q^{40} +3.85410 q^{41} +(-0.769519 - 0.370581i) q^{42} +(-4.51161 + 5.65739i) q^{43} +(1.39417 - 1.74823i) q^{44} +(9.09093 + 4.37796i) q^{45} -0.763932 q^{46} +(6.30678 + 3.03719i) q^{47} +(0.254986 - 1.11717i) q^{48} +(1.80194 - 0.867767i) q^{49} +(-5.48705 + 2.64243i) q^{50} +(-0.602632 - 2.64030i) q^{51} +(0.238152 - 0.298633i) q^{52} +(-1.24698 - 1.56366i) q^{53} +(-0.477507 + 2.09210i) q^{54} +(1.18520 + 5.19270i) q^{55} +(3.11745 + 3.90916i) q^{56} +3.00000 q^{57} +6.09017 q^{59} +(2.40299 + 3.01326i) q^{60} +(0.137526 + 0.602539i) q^{61} +(1.38766 - 6.07972i) q^{62} +(3.64997 + 4.57692i) q^{63} +(-0.147186 + 0.184565i) q^{64} +(0.202456 + 0.887019i) q^{65} +(-0.475589 + 0.229032i) q^{66} +(1.37656 - 0.662915i) q^{67} +(-1.57771 + 6.91240i) q^{68} +(-0.688279 - 0.331458i) q^{69} -5.32624 q^{70} +(-9.43507 - 4.54369i) q^{71} +(3.64997 - 4.57692i) q^{72} +(-8.54693 + 10.7175i) q^{73} +(-2.62167 - 1.26253i) q^{74} -6.09017 q^{75} +(-7.07630 - 3.40777i) q^{76} +(-0.687628 + 3.01269i) q^{77} +(-0.0812403 + 0.0391233i) q^{78} +(5.48705 - 2.64243i) q^{79} +(-1.59011 - 6.96674i) q^{80} +(3.55901 - 4.46285i) q^{81} +(1.48513 + 1.86230i) q^{82} +(2.21281 - 9.69495i) q^{83} +(0.497572 + 2.18001i) q^{84} +(-10.5298 - 13.2040i) q^{85} -4.47214 q^{86} +3.09017 q^{88} +(2.93552 + 3.68102i) q^{89} +(1.38766 + 6.07972i) q^{90} +(-0.117461 + 0.514629i) q^{91} +(1.24698 + 1.56366i) q^{92} +(3.88812 - 4.87555i) q^{93} +(0.962679 + 4.21777i) q^{94} +(16.8555 - 8.11719i) q^{95} +(3.12829 - 1.50650i) q^{96} +(-0.792688 + 3.47299i) q^{97} +(1.11366 + 0.536310i) q^{98} +3.61803 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + q^{2} - q^{3} + q^{4} - q^{5} + 3 q^{6} + 3 q^{9}+O(q^{10}) $ 12 * q + q^2 - q^3 + q^4 - q^5 + 3 * q^6 + 3 * q^9	$ 12 q + q^{2} - q^{3} + q^{4} - q^{5} + 3 q^{6} + 3 q^{9} - 7 q^{10} + 5 q^{11} + 12 q^{12} - 4 q^{13} + 5 q^{14} + 7 q^{15} + 3 q^{16} - 66 q^{17} + q^{18} + 3 q^{19} + 8 q^{20} - 5 q^{21} - 5 q^{22} - 2 q^{23} - 5 q^{24} - 13 q^{25} + 7 q^{26} + 2 q^{27} + 30 q^{28} + 36 q^{30} + 9 q^{31} - 9 q^{32} + 5 q^{33} - 8 q^{34} + 15 q^{35} - 4 q^{36} + 4 q^{37} + 6 q^{38} - 7 q^{39} + 15 q^{40} + 6 q^{41} + 5 q^{42} + 10 q^{43} + 9 q^{45} - 36 q^{46} + 14 q^{47} + 9 q^{48} + 4 q^{49} - q^{50} + 8 q^{51} - 3 q^{52} + 4 q^{53} - 11 q^{54} - 5 q^{55} - 10 q^{56} + 36 q^{57} + 6 q^{59} - q^{60} - q^{61} + 8 q^{62} - 5 q^{63} - 4 q^{64} + 13 q^{65} - 10 q^{66} + 12 q^{67} - 3 q^{68} - 6 q^{69} + 30 q^{70} - 12 q^{71} - 5 q^{72} + 14 q^{73} - 17 q^{74} - 6 q^{75} - 9 q^{76} + 5 q^{77} + 11 q^{78} + q^{79} - 21 q^{80} + 2 q^{81} - 7 q^{82} + 2 q^{83} - 2 q^{85} - 30 q^{88} + 4 q^{89} + 8 q^{90} - 10 q^{91} - 4 q^{92} - 8 q^{93} - 7 q^{94} + 24 q^{95} - 2 q^{96} + 13 q^{97} - 2 q^{98} + 30 q^{99}+O(q^{100}) $ 12 * q + q^2 - q^3 + q^4 - q^5 + 3 * q^6 + 3 * q^9 - 7 * q^10 + 5 * q^11 + 12 * q^12 - 4 * q^13 + 5 * q^14 + 7 * q^15 + 3 * q^16 - 66 * q^17 + q^18 + 3 * q^19 + 8 * q^20 - 5 * q^21 - 5 * q^22 - 2 * q^23 - 5 * q^24 - 13 * q^25 + 7 * q^26 + 2 * q^27 + 30 * q^28 + 36 * q^30 + 9 * q^31 - 9 * q^32 + 5 * q^33 - 8 * q^34 + 15 * q^35 - 4 * q^36 + 4 * q^37 + 6 * q^38 - 7 * q^39 + 15 * q^40 + 6 * q^41 + 5 * q^42 + 10 * q^43 + 9 * q^45 - 36 * q^46 + 14 * q^47 + 9 * q^48 + 4 * q^49 - q^50 + 8 * q^51 - 3 * q^52 + 4 * q^53 - 11 * q^54 - 5 * q^55 - 10 * q^56 + 36 * q^57 + 6 * q^59 - q^60 - q^61 + 8 * q^62 - 5 * q^63 - 4 * q^64 + 13 * q^65 - 10 * q^66 + 12 * q^67 - 3 * q^68 - 6 * q^69 + 30 * q^70 - 12 * q^71 - 5 * q^72 + 14 * q^73 - 17 * q^74 - 6 * q^75 - 9 * q^76 + 5 * q^77 + 11 * q^78 + q^79 - 21 * q^80 + 2 * q^81 - 7 * q^82 + 2 * q^83 - 2 * q^85 - 30 * q^88 + 4 * q^89 + 8 * q^90 - 10 * q^91 - 4 * q^92 - 8 * q^93 - 7 * q^94 + 24 * q^95 - 2 * q^96 + 13 * q^97 - 2 * q^98 + 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/841\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{2}{7}\right)$

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 $

$2$	0.385338	+	0.483198i	0.272475	+	0.341673i	0.899176	−	0.437587i	$-0.144167\pi$
$2$	0.385338	+	0.483198i	0.272475	+	0.341673i	−0.626701	+	0.779260i	$0.715595\pi$
$3$	0.137526	+	0.602539i	0.0794004	+	0.347876i	0.998986	−	0.0450129i	$-0.0143329\pi$
$3$	0.137526	+	0.602539i	0.0794004	+	0.347876i	−0.919586	+	0.392889i	$0.871476\pi$
$4$	0.360046	−	1.57747i	0.180023	−	0.788733i
$5$	2.40299	+	3.01326i	1.07465	+	1.34757i	0.933904	+	0.357525i	$0.116379\pi$
$5$	2.40299	+	3.01326i	1.07465	+	1.34757i	0.140748	+	0.990046i	$0.455049\pi$
$6$	−0.238152	+	0.298633i	−0.0972251	+	0.121916i
$7$	0.497572	+	2.18001i	0.188065	+	0.823964i	0.977636	+	0.210306i	$0.0674459\pi$
$7$	0.497572	+	2.18001i	0.188065	+	0.823964i	−0.789571	+	0.613659i	$0.789697\pi$
$8$	2.01463	−	0.970194i	0.712278	−	0.343015i
$9$	2.35877	−	1.13592i	0.786256	−	0.378641i
$10$	−0.530037	+	2.32225i	−0.167613	+	0.734358i
$11$	1.24511	+	0.599613i	0.375414	+	0.180790i	0.612070	−	0.790804i	$-0.290337\pi$
$11$	1.24511	+	0.599613i	0.375414	+	0.180790i	−0.236656	+	0.971594i	$0.576051\pi$
$12$	1.00000			0.288675
$13$	0.212690	+	0.102426i	0.0589896	+	0.0284079i	0.463146	−	0.886282i	$-0.346721\pi$
$13$	0.212690	+	0.102426i	0.0589896	+	0.0284079i	−0.404156	+	0.914690i	$0.632435\pi$
$14$	−0.861642	+	1.08046i	−0.230283	+	0.288766i
$15$	−1.48513	+	1.86230i	−0.383459	+	0.480843i
$16$	−1.67049	−	0.804465i	−0.417622	−	0.201116i
$17$	−4.38197			−1.06278			−0.531391	−	0.847126i	$-0.678331\pi$
$17$	−4.38197			−1.06278			−0.531391	+	0.847126i	$0.678331\pi$
$18$	1.45780	+	0.702039i	0.343606	+	0.165472i
$19$	1.08014	−	4.73240i	0.247801	−	1.08569i	−0.685918	−	0.727679i	$-0.740599\pi$
$19$	1.08014	−	4.73240i	0.247801	−	1.08569i	0.933719	−	0.358008i	$-0.116544\pi$
$20$	5.61850	−	2.70573i	1.25634	−	0.605019i
$21$	−1.24511	+	0.599613i	−0.271705	+	0.130846i
$22$	0.190056	+	0.832688i	0.0405200	+	0.177530i
$23$	−0.770676	+	0.966397i	−0.160697	+	0.201508i	−0.855661	−	0.517537i	$-0.826849\pi$
$23$	−0.770676	+	0.966397i	−0.160697	+	0.201508i	0.694964	+	0.719045i	$0.255420\pi$
$24$	0.861642	+	1.08046i	0.175882	+	0.220549i
$25$	−2.19274	+	9.60704i	−0.438549	+	1.92141i
$26$	0.0324654	+	0.142240i	0.00636698	+	0.0278956i
$27$	2.16484	+	2.71463i	0.416624	+	0.522430i
$28$	3.61803			0.683744
$29$		0			0
$29$		0			0
$30$	−1.47214			−0.268774
$31$	−6.29112	−	7.88881i	−1.12992	−	1.41687i	−0.895683	−	0.444693i	$-0.853313\pi$
$31$	−6.29112	−	7.88881i	−1.12992	−	1.41687i	−0.234235	−	0.972180i	$-0.575258\pi$
$32$	−1.25013	−	5.47718i	−0.220994	−	0.968237i
$33$	−0.190056	+	0.832688i	−0.0330844	+	0.144952i
$34$	−1.68854	−	2.11736i	−0.289582	−	0.363124i
$35$	−5.37326	+	6.73785i	−0.908246	+	1.13890i
$36$	−0.942614	−	4.12986i	−0.157102	−	0.688310i
$37$	−4.24195	+	2.04281i	−0.697371	+	0.335836i	−0.748759	−	0.662842i	$-0.769350\pi$
$37$	−4.24195	+	2.04281i	−0.697371	+	0.335836i	0.0513875	+	0.998679i	$0.483636\pi$
$38$	2.70291	−	1.30165i	0.438469	−	0.211156i
$39$	−0.0324654	+	0.142240i	−0.00519862	+	0.0227766i
$40$	7.76458	+	3.73922i	1.22769	+	0.591223i
$41$	3.85410			0.601910			0.300955	−	0.953638i	$-0.402695\pi$
$41$	3.85410			0.601910			0.300955	+	0.953638i	$0.402695\pi$
$42$	−0.769519	−	0.370581i	−0.118739	−	0.0571819i
$43$	−4.51161	+	5.65739i	−0.688015	+	0.862743i	−0.996065	−	0.0886269i	$-0.971752\pi$
$43$	−4.51161	+	5.65739i	−0.688015	+	0.862743i	0.308050	+	0.951370i	$0.400324\pi$
$44$	1.39417	−	1.74823i	0.210178	−	0.263555i
$45$	9.09093	+	4.37796i	1.35520	+	0.652628i
$46$	−0.763932			−0.112636
$47$	6.30678	+	3.03719i	0.919939	+	0.443019i	0.833049	−	0.553199i	$-0.186593\pi$
$47$	6.30678	+	3.03719i	0.919939	+	0.443019i	0.0868895	+	0.996218i	$0.472307\pi$
$48$	0.254986	−	1.11717i	0.0368041	−	0.161249i
$49$	1.80194	−	0.867767i	0.257420	−	0.123967i
$50$	−5.48705	+	2.64243i	−0.775987	+	0.373695i
$51$	−0.602632	−	2.64030i	−0.0843854	−	0.369716i
$52$	0.238152	−	0.298633i	0.0330257	−	0.0414130i
$53$	−1.24698	−	1.56366i	−0.171286	−	0.214786i	0.688778	−	0.724973i	$-0.258148\pi$
$53$	−1.24698	−	1.56366i	−0.171286	−	0.214786i	−0.860064	+	0.510187i	$0.829576\pi$
$54$	−0.477507	+	2.09210i	−0.0649805	+	0.284698i
$55$	1.18520	+	5.19270i	0.159812	+	0.700183i
$56$	3.11745	+	3.90916i	0.416587	+	0.522383i
$57$	3.00000			0.397360
$58$		0			0
$59$	6.09017			0.792873			0.396436	−	0.918062i	$-0.370247\pi$
$59$	6.09017			0.792873			0.396436	+	0.918062i	$0.370247\pi$
$60$	2.40299	+	3.01326i	0.310225	+	0.389010i
$61$	0.137526	+	0.602539i	0.0176083	+	0.0771472i	0.982969	−	0.183773i	$-0.0588312\pi$
$61$	0.137526	+	0.602539i	0.0176083	+	0.0771472i	−0.965360	+	0.260920i	$0.915974\pi$
$62$	1.38766	−	6.07972i	0.176232	−	0.772125i
$63$	3.64997	+	4.57692i	0.459853	+	0.576638i
$64$	−0.147186	+	0.184565i	−0.0183982	+	0.0230707i
$65$	0.202456	+	0.887019i	0.0251116	+	0.110021i
$66$	−0.475589	+	0.229032i	−0.0585410	+	0.0281918i
$67$	1.37656	−	0.662915i	0.168173	−	0.0809880i	−0.347903	−	0.937530i	$-0.613106\pi$
$67$	1.37656	−	0.662915i	0.168173	−	0.0809880i	0.516077	+	0.856542i	$0.327392\pi$
$68$	−1.57771	+	6.91240i	−0.191326	+	0.838252i
$69$	−0.688279	−	0.331458i	−0.0828591	−	0.0399028i
$70$	−5.32624			−0.636607
$71$	−9.43507	−	4.54369i	−1.11974	−	0.539237i	−0.219926	−	0.975517i	$-0.570581\pi$
$71$	−9.43507	−	4.54369i	−1.11974	−	0.539237i	−0.899811	+	0.436280i	$0.856296\pi$
$72$	3.64997	−	4.57692i	0.430153	−	0.539395i
$73$	−8.54693	+	10.7175i	−1.00034	+	1.25439i	−0.0333868	+	0.999443i	$0.510629\pi$
$73$	−8.54693	+	10.7175i	−1.00034	+	1.25439i	−0.966955	+	0.254947i	$0.917942\pi$
$74$	−2.62167	−	1.26253i	−0.304763	−	0.146766i
$75$	−6.09017			−0.703232
$76$	−7.07630	−	3.40777i	−0.811707	−	0.390898i
$77$	−0.687628	+	3.01269i	−0.0783624	+	0.343328i
$78$	−0.0812403	+	0.0391233i	−0.00919865	+	0.00442984i
$79$	5.48705	−	2.64243i	0.617342	−	0.297296i	−0.0989550	−	0.995092i	$-0.531550\pi$
$79$	5.48705	−	2.64243i	0.617342	−	0.297296i	0.716297	+	0.697796i	$0.245836\pi$
$80$	−1.59011	−	6.96674i	−0.177780	−	0.778905i
$81$	3.55901	−	4.46285i	0.395445	−	0.495873i
$82$	1.48513	+	1.86230i	0.164005	+	0.205656i
$83$	2.21281	−	9.69495i	0.242887	−	1.06416i	−0.695487	−	0.718539i	$-0.744811\pi$
$83$	2.21281	−	9.69495i	0.242887	−	1.06416i	0.938374	−	0.345620i	$-0.112331\pi$
$84$	0.497572	+	2.18001i	0.0542895	+	0.237858i
$85$	−10.5298	−	13.2040i	−1.14212	−	1.43217i
$86$	−4.47214			−0.482243
$87$		0			0
$88$	3.09017			0.329413
$89$	2.93552	+	3.68102i	0.311164	+	0.390188i	0.912681	−	0.408673i	$-0.134008\pi$
$89$	2.93552	+	3.68102i	0.311164	+	0.390188i	−0.601517	+	0.798860i	$0.705437\pi$
$90$	1.38766	+	6.07972i	0.146272	+	0.640858i
$91$	−0.117461	+	0.514629i	−0.0123132	+	0.0539478i
$92$	1.24698	+	1.56366i	0.130007	+	0.163023i
$93$	3.88812	−	4.87555i	0.403180	−	0.505571i
$94$	0.962679	+	4.21777i	0.0992927	+	0.435030i
$95$	16.8555	−	8.11719i	1.72934	−	0.832806i
$96$	3.12829	−	1.50650i	0.319279	−	0.153757i
$97$	−0.792688	+	3.47299i	−0.0804852	+	0.352629i	−0.999095	−	0.0425373i	$-0.986456\pi$
$97$	−0.792688	+	3.47299i	−0.0804852	+	0.352629i	0.918610	+	0.395166i	$0.129313\pi$
$98$	1.11366	+	0.536310i	0.112497	+	0.0541755i
$99$	3.61803			0.363626
$100$	14.3653	+	6.91796i	1.43653	+	0.691796i
$101$	−0.385338	+	0.483198i	−0.0383426	+	0.0480800i	−0.800633	−	0.599155i	$-0.795503\pi$
$101$	−0.385338	+	0.483198i	−0.0383426	+	0.0480800i	0.762291	+	0.647235i	$0.224075\pi$
$102$	1.04357	−	1.30860i	0.103329	−	0.129571i
$103$	−8.27120	−	3.98320i	−0.814986	−	0.392476i	−0.0205229	−	0.999789i	$-0.506533\pi$
$103$	−8.27120	−	3.98320i	−0.814986	−	0.392476i	−0.794463	+	0.607313i	$0.792247\pi$
$104$	0.527864			0.0517613
$105$	−4.79877	−	2.31097i	−0.468312	−	0.225527i
$106$	0.275051	−	1.20508i	0.0267153	−	0.117047i
$107$	−6.09409	+	2.93476i	−0.589138	+	0.283714i	−0.704608	−	0.709597i	$-0.748877\pi$
$107$	−6.09409	+	2.93476i	−0.589138	+	0.283714i	0.115470	+	0.993311i	$0.463163\pi$
$108$	5.06167	−	2.43757i	0.487060	−	0.234556i
$109$	3.20029	+	14.0214i	0.306532	+	1.34300i	0.860068	+	0.510179i	$0.170421\pi$
$109$	3.20029	+	14.0214i	0.306532	+	1.34300i	−0.553536	+	0.832825i	$0.686722\pi$
$110$	−2.05240	+	2.57363i	−0.195689	+	0.245386i
$111$	−1.81425	−	2.27500i	−0.172201	−	0.215933i
$112$	0.922549	−	4.04195i	0.0871727	−	0.381929i
$113$	−1.76777	−	7.74509i	−0.166298	−	0.728597i	−0.987456	−	0.157896i	$-0.949529\pi$
$113$	−1.76777	−	7.74509i	−0.166298	−	0.728597i	0.821158	−	0.570701i	$-0.193328\pi$
$114$	1.15601	+	1.44960i	0.108271	+	0.135767i
$115$	−4.76393			−0.444239
$116$		0			0
$117$	0.618034			0.0571373
$118$	2.34677	+	2.94276i	0.216038	+	0.270903i
$119$	−2.18034	−	9.55271i	−0.199872	−	0.875695i
$120$	−1.18520	+	5.19270i	−0.108193	+	0.474026i
$121$	−5.66763	−	7.10698i	−0.515239	−	0.646089i
$122$	−0.238152	+	0.298633i	−0.0215613	+	0.0270370i
$123$	0.530037	+	2.32225i	0.0477919	+	0.209390i
$124$	−14.7094	+	7.08369i	−1.32095	+	0.636134i
$125$	−16.8555	+	8.11719i	−1.50760	+	0.726023i
$126$	−0.805088	+	3.52732i	−0.0717230	+	0.314239i
$127$	−14.3653	−	6.91796i	−1.27471	−	0.613870i	−0.330687	−	0.943740i	$-0.607281\pi$
$127$	−14.3653	−	6.91796i	−1.27471	−	0.613870i	−0.944026	+	0.329871i	$0.892995\pi$
$128$	−11.3820			−1.00603
$129$	−4.02926	−	1.94039i	−0.354756	−	0.170842i
$130$	−0.350592	+	0.439628i	−0.0307490	+	0.0385580i
$131$	8.93226	−	11.2007i	0.780415	−	0.978610i	−0.219580	−	0.975594i	$-0.570469\pi$
$131$	8.93226	−	11.2007i	0.780415	−	0.978610i	0.999995	−	0.00301554i	$-0.000959877\pi$
$132$	1.24511	+	0.599613i	0.108373	+	0.0521896i
$133$	10.8541			0.941170
$134$	0.850760	+	0.409704i	0.0734944	+	0.0353931i
$135$	−2.97777	+	13.0465i	−0.256285	+	1.12286i
$136$	−8.82803	+	4.25136i	−0.756997	+	0.364551i
$137$	−6.43823	+	3.10049i	−0.550055	+	0.264893i	−0.688202	−	0.725519i	$-0.741600\pi$
$137$	−6.43823	+	3.10049i	−0.550055	+	0.264893i	0.138147	+	0.990412i	$0.455885\pi$
$138$	−0.105060	−	0.460299i	−0.00894331	−	0.0391832i
$139$	0.805422	−	1.00997i	0.0683150	−	0.0856643i	−0.746500	−	0.665386i	$-0.768267\pi$
$139$	0.805422	−	1.00997i	0.0683150	−	0.0856643i	0.814815	+	0.579721i	$0.196839\pi$
$140$	8.69411	+	10.9021i	0.734787	+	0.921393i
$141$	−0.962679	+	4.21777i	−0.0810722	+	0.355200i
$142$	−1.44019	−	6.30987i	−0.120858	−	0.529512i
$143$	0.203406	+	0.255063i	0.0170097	+	0.0213294i
$144$	−4.85410			−0.404508
$145$		0			0
$146$	−8.47214			−0.701159
$147$	0.770676	+	0.966397i	0.0635643	+	0.0797071i
$148$	1.69517	+	7.42703i	0.139342	+	0.610498i
$149$	−2.14021	+	9.37689i	−0.175333	+	0.768185i	0.808412	+	0.588617i	$0.200327\pi$
$149$	−2.14021	+	9.37689i	−0.175333	+	0.768185i	−0.983746	+	0.179568i	$0.942530\pi$
$150$	−2.34677	−	2.94276i	−0.191613	−	0.240275i
$151$	1.66706	−	2.09043i	0.135664	−	0.170117i	−0.709359	−	0.704847i	$-0.751015\pi$
$151$	1.66706	−	2.09043i	0.135664	−	0.170117i	0.845023	+	0.534731i	$0.179587\pi$
$152$	−2.41526	−	10.5820i	−0.195904	−	0.858311i
$153$	−10.3360	+	4.97757i	−0.835619	+	0.402413i
$154$	−1.72070	+	0.828644i	−0.138658	+	0.0667741i
$155$	8.65352	−	37.9135i	0.695067	−	3.04529i
$156$	0.212690	+	0.102426i	0.0170288	+	0.00820065i
$157$	14.5623			1.16220			0.581099	−	0.813833i	$-0.302623\pi$
$157$	14.5623			1.16220			0.581099	+	0.813833i	$0.302623\pi$
$158$	3.39119	+	1.63311i	0.269788	+	0.129923i
$159$	0.770676	−	0.966397i	0.0611186	−	0.0766403i
$160$	13.5001	−	16.9286i	1.06728	−	1.33832i
$161$	−2.49022	−	1.19923i	−0.196257	−	0.0945122i
$162$	3.52786			0.277175
$163$	5.43684	+	2.61825i	0.425847	+	0.205077i	0.634517	−	0.772909i	$-0.281199\pi$
$163$	5.43684	+	2.61825i	0.425847	+	0.205077i	−0.208670	+	0.977986i	$0.566913\pi$
$164$	1.38766	−	6.07972i	0.108358	−	0.474746i
$165$	−2.96581	+	1.42826i	−0.230888	+	0.111190i
$166$	5.53726	−	2.66661i	0.429775	−	0.206969i
$167$	−2.34267	−	10.2639i	−0.181281	−	0.794245i	−0.981022	−	0.193899i	$-0.937887\pi$
$167$	−2.34267	−	10.2639i	−0.181281	−	0.794245i	0.799740	−	0.600346i	$-0.204971\pi$
$168$	−1.92669	+	2.41599i	−0.148647	+	0.186398i
$169$	−8.07062	−	10.1202i	−0.620817	−	0.778480i
$170$	2.32261	−	10.1760i	0.178136	−	0.780464i
$171$	−2.82784	−	12.3896i	−0.216250	−	0.947455i
$172$	7.29995	+	9.15384i	0.556616	+	0.697974i
$173$	4.09017			0.310970			0.155485	−	0.987838i	$-0.450306\pi$
$173$	4.09017			0.310970			0.155485	+	0.987838i	$0.450306\pi$
$174$		0			0
$175$	−22.0344			−1.66565
$176$	−1.59757	−	2.00329i	−0.120421	−	0.151004i
$177$	0.837554	+	3.66956i	0.0629544	+	0.275821i
$178$	−0.647498	+	2.83687i	−0.0485320	+	0.212633i
$179$	−9.97584	−	12.5093i	−0.745629	−	0.934989i	0.253851	−	0.967243i	$-0.418303\pi$
$179$	−9.97584	−	12.5093i	−0.745629	−	0.934989i	−0.999480	+	0.0322542i	$0.989731\pi$
$180$	10.1792	−	12.7644i	0.758716	−	0.951400i
$181$	−1.32272	−	5.79524i	−0.0983174	−	0.430757i	0.901681	−	0.432401i	$-0.142334\pi$
$181$	−1.32272	−	5.79524i	−0.0983174	−	0.430757i	−0.999999	+	0.00164474i	$0.999476\pi$
$182$	−0.293930	+	0.141549i	−0.0217876	+	0.0104923i
$183$	−0.344139	+	0.165729i	−0.0254395	+	0.0122510i
$184$	−0.615033	+	2.69463i	−0.0453408	+	0.198651i
$185$	−16.3489	−	7.87321i	−1.20199	−	0.578850i
$186$	3.85410			0.282596
$187$	−5.45602	−	2.62748i	−0.398984	−	0.192141i
$188$	7.06179	−	8.85521i	0.515034	−	0.645833i
$189$	−4.84073	+	6.07009i	−0.352111	+	0.441534i
$190$	10.4173	+	5.01670i	0.755749	+	0.363949i
$191$	17.0344			1.23257			0.616284	−	0.787524i	$-0.288637\pi$
$191$	17.0344			1.23257			0.616284	+	0.787524i	$0.288637\pi$
$192$	−0.131450	−	0.0633028i	−0.00948656	−	0.00456848i
$193$	−2.77531	+	12.1594i	−0.199771	+	0.875255i	0.771301	+	0.636470i	$0.219606\pi$
$193$	−2.77531	+	12.1594i	−0.199771	+	0.875255i	−0.971072	+	0.238785i	$0.923251\pi$
$194$	−1.98360	+	0.955250i	−0.142414	+	0.0685829i
$195$	−0.506620	+	0.243975i	−0.0362798	+	0.0174714i
$196$	−0.720093	−	3.15493i	−0.0514352	−	0.225352i
$197$	−3.92287	+	4.91912i	−0.279493	+	0.350473i	−0.901687	−	0.432390i	$-0.857670\pi$
$197$	−3.92287	+	4.91912i	−0.279493	+	0.350473i	0.622194	+	0.782863i	$0.286242\pi$
$198$	1.39417	+	1.74823i	0.0990790	+	0.124241i
$199$	1.30266	−	5.70733i	0.0923431	−	0.404582i	−0.907538	−	0.419969i	$-0.862041\pi$
$199$	1.30266	−	5.70733i	0.0923431	−	0.404582i	0.999882	+	0.0153872i	$0.00489810\pi$
$200$	4.90312	+	21.4820i	0.346703	+	1.51901i
$201$	0.588744	+	0.738262i	0.0415268	+	0.0520730i
$202$	−0.381966			−0.0268750
$203$		0			0
$204$	−4.38197			−0.306799
$205$	9.26138	+	11.6134i	0.646843	+	0.811115i
$206$	−1.26253	−	5.53151i	−0.0879647	−	0.385398i
$207$	−0.720093	+	3.15493i	−0.0500499	+	0.219283i
$208$	−0.272898	−	0.342203i	−0.0189221	−	0.0237275i
$209$	4.18250	−	5.24469i	0.289309	−	0.362782i
$210$	−0.732494	−	3.20926i	−0.0505469	−	0.221460i
$211$	10.4985	−	5.05582i	0.722748	−	0.348057i	−0.0360795	−	0.999349i	$-0.511487\pi$
$211$	10.4985	−	5.05582i	0.722748	−	0.348057i	0.758827	+	0.651292i	$0.225773\pi$
$212$	−2.91560	+	1.40408i	−0.200244	+	0.0964324i
$213$	1.44019	−	6.30987i	0.0986799	−	0.432345i
$214$	−3.76636	−	1.81378i	−0.257463	−	0.123988i
$215$	−27.8885			−1.90198
$216$	6.99506	+	3.36864i	0.475954	+	0.229207i
$217$	14.0674	−	17.6399i	0.954955	−	1.19748i
$218$	−5.54192	+	6.94934i	−0.375346	+	0.470669i
$219$	−7.63313	−	3.67592i	−0.515799	−	0.248396i
$220$	8.61803			0.581028
$221$	−0.932000	−	0.448827i	−0.0626931	−	0.0301914i
$222$	0.400176	−	1.75328i	0.0268580	−	0.117673i
$223$	−2.40898	+	1.16010i	−0.161317	+	0.0776862i	−0.512800	−	0.858508i	$-0.671392\pi$
$223$	−2.40898	+	1.16010i	−0.161317	+	0.0776862i	0.351483	+	0.936194i	$0.385677\pi$
$224$	11.3182	−	5.45058i	0.756232	−	0.364182i
$225$	5.74068	+	25.1516i	0.382712	+	1.67677i
$226$	3.06123	−	3.83866i	0.203630	−	0.255344i
$227$	−13.0238	−	16.3313i	−0.864420	−	1.08395i	−0.995703	−	0.0926030i	$-0.970481\pi$
$227$	−13.0238	−	16.3313i	−0.864420	−	1.08395i	0.131284	−	0.991345i	$-0.458090\pi$
$228$	1.08014	−	4.73240i	0.0715340	−	0.313411i
$229$	−0.509973	−	2.23434i	−0.0336999	−	0.147649i	0.955279	−	0.295707i	$-0.0955551\pi$
$229$	−0.509973	−	2.23434i	−0.0336999	−	0.147649i	−0.988979	+	0.148058i	$0.952698\pi$
$230$	−1.83572	−	2.30192i	−0.121044	−	0.151784i
$231$	−1.90983			−0.125658
$232$		0			0
$233$	15.2361			0.998148			0.499074	−	0.866559i	$-0.333674\pi$
$233$	15.2361			0.998148			0.499074	+	0.866559i	$0.333674\pi$
$234$	0.238152	+	0.298633i	0.0155685	+	0.0195223i
$235$	6.00333	+	26.3023i	0.391614	+	1.71577i
$236$	2.19274	−	9.60704i	0.142735	−	0.625365i
$237$	2.34677	+	2.94276i	0.152439	+	0.191153i
$238$	3.77568	−	4.73456i	0.244741	−	0.306896i
$239$	6.17332	+	27.0471i	0.399319	+	1.74953i	0.630090	+	0.776522i	$0.283018\pi$
$239$	6.17332	+	27.0471i	0.399319	+	1.74953i	−0.230771	+	0.973008i	$0.574125\pi$
$240$	3.97905	−	1.91621i	0.256846	−	0.123691i
$241$	4.19174	−	2.01863i	0.270013	−	0.130032i	−0.293978	−	0.955812i	$-0.594979\pi$
$241$	4.19174	−	2.01863i	0.270013	−	0.130032i	0.563992	+	0.825781i	$0.309265\pi$
$242$	1.25013	−	5.47718i	0.0803614	−	0.352086i
$243$	12.5634	+	6.05019i	0.805940	+	0.388120i
$244$	1.00000			0.0640184
$245$	6.94485	+	3.34446i	0.443690	+	0.213670i
$246$	−0.917862	+	1.15096i	−0.0585207	+	0.0733827i
$247$	0.714456	−	0.895899i	0.0454597	−	0.0570047i
$248$	−20.3279	−	9.78942i	−1.29083	−	0.621629i
$249$	6.14590			0.389480
$250$	−10.4173	−	5.01670i	−0.658846	−	0.317284i
$251$	4.37309	−	19.1597i	0.276027	−	1.20935i	−0.626742	−	0.779227i	$-0.715612\pi$
$251$	4.37309	−	19.1597i	0.276027	−	1.20935i	0.902769	−	0.430126i	$-0.141531\pi$
$252$	8.53410	−	4.10981i	0.537598	−	0.258893i
$253$	−1.53904	+	0.741162i	−0.0967585	+	0.0465965i
$254$	−2.19274	−	9.60704i	−0.137585	−	0.602799i
$255$	6.50780	−	8.16052i	0.407534	−	0.511031i
$256$	−4.09153	−	5.13062i	−0.255721	−	0.320664i
$257$	5.15811	−	22.5992i	0.321754	−	1.40970i	−0.512676	−	0.858582i	$-0.671346\pi$
$257$	5.15811	−	22.5992i	0.321754	−	1.40970i	0.834430	−	0.551114i	$-0.185797\pi$
$258$	−0.615033	−	2.69463i	−0.0382903	−	0.167761i
$259$	−6.56402	−	8.23102i	−0.407868	−	0.511450i
$260$	1.47214			0.0912980
$261$		0			0
$262$	8.85410			0.547008
$263$	−10.4174	−	13.0630i	−0.642364	−	0.805499i	0.348932	−	0.937148i	$-0.386544\pi$
$263$	−10.4174	−	13.0630i	−0.642364	−	0.805499i	−0.991296	+	0.131649i	$0.957973\pi$
$264$	0.424977	+	1.86195i	0.0261555	+	0.114595i
$265$	1.71524	−	7.51494i	0.105366	−	0.461639i
$266$	4.18250	+	5.24469i	0.256445	+	0.321572i
$267$	−1.81425	+	2.27500i	−0.111030	+	0.139228i
$268$	−0.550102	−	2.41015i	−0.0336028	−	0.147224i
$269$	5.40581	−	2.60330i	0.329598	−	0.158726i	−0.261765	−	0.965132i	$-0.584304\pi$
$269$	5.40581	−	2.60330i	0.329598	−	0.158726i	0.591363	+	0.806406i	$0.298590\pi$
$270$	−7.45147	+	3.58844i	−0.453482	+	0.218385i
$271$	−2.26534	+	9.92510i	−0.137610	+	0.602907i	0.858347	+	0.513070i	$0.171492\pi$
$271$	−2.26534	+	9.92510i	−0.137610	+	0.602907i	−0.995956	+	0.0898370i	$0.971365\pi$
$272$	7.32002	+	3.52514i	0.443842	+	0.213743i
$273$	−0.326238			−0.0197448
$274$	−3.97905	−	1.91621i	−0.240383	−	0.115762i
$275$	−8.49071	+	10.6470i	−0.512009	+	0.642039i
$276$	−0.770676	+	0.966397i	−0.0463892	+	0.0581703i
$277$	19.2645	+	9.27729i	1.15749	+	0.557418i	0.911276	−	0.411797i	$-0.135099\pi$
$277$	19.2645	+	9.27729i	1.15749	+	0.557418i	0.246215	+	0.969215i	$0.420813\pi$
$278$	0.798374			0.0478833
$279$	−23.8004	−	11.4616i	−1.42489	−	0.686191i
$280$	−4.28809	+	18.7874i	−0.256263	+	1.12276i
$281$	−20.8346	+	10.0334i	−1.24289	+	0.598542i	−0.935595	−	0.353074i	$-0.885136\pi$
$281$	−20.8346	+	10.0334i	−1.24289	+	0.598542i	−0.307290	+	0.951616i	$0.599422\pi$
$282$	−2.40898	+	1.16010i	−0.143452	+	0.0690831i
$283$	1.16513	+	5.10479i	0.0692601	+	0.303448i	0.997679	−	0.0680857i	$-0.0216891\pi$
$283$	1.16513	+	5.10479i	0.0692601	+	0.303448i	−0.928419	+	0.371534i	$0.878832\pi$
$284$	−10.5646	+	13.2476i	−0.626893	+	0.786098i
$285$	7.20898	+	9.03977i	0.427023	+	0.535470i
$286$	−0.0448660	+	0.196571i	−0.00265298	+	0.0116235i
$287$	1.91769	+	8.40196i	0.113198	+	0.495952i
$288$	−9.17042	−	11.4993i	−0.540372	−	0.677605i
$289$	2.20163			0.129507
$290$		0			0
$291$	−2.20163			−0.129062
$292$	13.8292	+	17.3413i	0.809294	+	1.01482i
$293$	−1.89763	−	8.31405i	−0.110861	−	0.485712i	−0.999626	−	0.0273496i	$-0.991293\pi$
$293$	−1.89763	−	8.31405i	−0.110861	−	0.485712i	0.888765	−	0.458363i	$-0.151564\pi$
$294$	−0.169991	+	0.744779i	−0.00991407	+	0.0434364i
$295$	14.6346	+	18.3513i	0.852062	+	1.06845i
$296$	−6.56402	+	8.23102i	−0.381526	+	0.478418i
$297$	1.06774	+	4.67807i	0.0619565	+	0.271449i
$298$	−5.35560	+	2.57912i	−0.310242	+	0.149405i
$299$	−0.262899	+	0.126606i	−0.0152039	+	0.00732179i
$300$	−2.19274	+	9.60704i	−0.126598	+	0.554663i
$301$	−14.5780	−	7.02039i	−0.840261	−	0.404648i
$302$	1.65248			0.0950893
$303$	−0.344139	−	0.165729i	−0.0197703	−	0.00952087i
$304$	−5.61141	+	7.03648i	−0.321836	+	0.403570i
$305$	−1.48513	+	1.86230i	−0.0850384	+	0.106635i
$306$	−6.38802	−	3.07631i	−0.365179	−	0.175861i
$307$	−19.1803			−1.09468			−0.547340	−	0.836910i	$-0.684360\pi$
$307$	−19.1803			−1.09468			−0.547340	+	0.836910i	$0.684360\pi$
$308$	4.50484	+	2.16942i	0.256687	+	0.123614i
$309$	1.26253	−	5.53151i	0.0718229	−	0.314677i
$310$	21.6543	−	10.4282i	1.22988	−	0.592279i
$311$	−1.88318	+	0.906891i	−0.106785	+	0.0514251i	−0.486514	−	0.873673i	$-0.661732\pi$
$311$	−1.88318	+	0.906891i	−0.106785	+	0.0514251i	0.379729	+	0.925098i	$0.376017\pi$
$312$	0.0725948	+	0.318058i	0.00410987	+	0.0180065i
$313$	−8.04915	+	10.0933i	−0.454965	+	0.570508i	−0.955418	−	0.295256i	$-0.904595\pi$
$313$	−8.04915	+	10.0933i	−0.454965	+	0.570508i	0.500454	+	0.865763i	$0.333167\pi$
$314$	5.61141	+	7.03648i	0.316670	+	0.397092i
$315$	−5.02059	+	21.9966i	−0.282878	+	1.23937i
$316$	−2.19274	−	9.60704i	−0.123351	−	0.540438i
$317$	17.2758	+	21.6631i	0.970305	+	1.21672i	0.976229	+	0.216741i	$0.0695427\pi$
$317$	17.2758	+	21.6631i	0.970305	+	1.21672i	−0.00592451	+	0.999982i	$0.501886\pi$
$318$	0.763932			0.0428392
$319$		0			0
$320$	−0.909830			−0.0508610
$321$	−2.60640	−	3.26832i	−0.145475	−	0.182420i
$322$	−0.380111	−	1.66538i	−0.0211828	−	0.0928078i
$323$	−4.73313	+	20.7372i	−0.263359	+	1.15385i
$324$	−5.75859	−	7.22105i	−0.319922	−	0.401169i
$325$	−1.45039	+	1.81873i	−0.0804529	+	0.100885i
$326$	0.829890	+	3.63598i	0.0459633	+	0.201379i
$327$	−8.00830	+	3.85659i	−0.442860	+	0.213270i
$328$	7.76458	−	3.73922i	0.428727	−	0.206464i
$329$	−3.48300	+	15.2600i	−0.192024	+	0.841313i
$330$	−1.83297	−	0.882711i	−0.100902	−	0.0485917i
$331$	21.1803			1.16418			0.582088	−	0.813126i	$-0.302236\pi$
$331$	21.1803			1.16418			0.582088	+	0.813126i	$0.302236\pi$
$332$	−14.4967	−	6.98126i	−0.795612	−	0.383147i
$333$	−7.68528	+	9.63704i	−0.421151	+	0.528107i
$334$	4.05678	−	5.08705i	0.221977	−	0.278351i
$335$	5.30539	+	2.55494i	0.289865	+	0.139591i
$336$	2.56231			0.139785
$337$	30.6950	+	14.7819i	1.67206	+	0.805223i	0.997769	+	0.0667606i	$0.0212664\pi$
$337$	30.6950	+	14.7819i	1.67206	+	0.805223i	0.674294	+	0.738463i	$0.264448\pi$
$338$	1.78017	−	7.79942i	0.0968283	−	0.424233i
$339$	4.42360	−	2.13030i	0.240257	−	0.115702i
$340$	−24.6201	+	11.8564i	−1.33521	+	0.643004i
$341$	−3.10289	−	13.5947i	−0.168031	−	0.736192i
$342$	4.89695	−	6.14058i	0.264797	−	0.332045i
$343$	12.5475	+	15.7341i	0.677501	+	0.849559i
$344$	−3.60046	+	15.7747i	−0.194124	+	0.850513i
$345$	−0.655162	−	2.87045i	−0.0352727	−	0.154540i
$346$	1.57610	+	1.97636i	0.0847315	+	0.106250i
$347$	−32.1246			−1.72454			−0.862270	−	0.506449i	$-0.830958\pi$
$347$	−32.1246			−1.72454			−0.862270	+	0.506449i	$0.830958\pi$
$348$		0			0
$349$	4.52786			0.242371			0.121186	−	0.992630i	$-0.461330\pi$
$349$	4.52786			0.242371			0.121186	+	0.992630i	$0.461330\pi$
$350$	−8.49071	−	10.6470i	−0.453847	−	0.569107i
$351$	0.182392	+	0.799110i	0.00973534	+	0.0426533i
$352$	1.72764	−	7.56927i	0.0920834	−	0.403444i
$353$	−11.9240	−	14.9522i	−0.634651	−	0.795827i	0.355672	−	0.934611i	$-0.384252\pi$
$353$	−11.9240	−	14.9522i	−0.634651	−	0.795827i	−0.990323	+	0.138784i	$0.955681\pi$
$354$	−1.45039	+	1.81873i	−0.0770871	+	0.0966642i
$355$	−8.98110	−	39.3488i	−0.476667	−	2.08841i
$356$	6.86361	−	3.30534i	0.363771	−	0.175183i
$357$	5.45602	−	2.62748i	0.288763	−	0.139061i
$358$	2.20041	−	9.64062i	0.116295	−	0.509522i
$359$	21.4106	+	10.3108i	1.13001	+	0.544182i	0.902970	−	0.429704i	$-0.141382\pi$
$359$	21.4106	+	10.3108i	1.13001	+	0.544182i	0.227036	+	0.973886i	$0.427096\pi$
$360$	22.5623			1.18914
$361$	−4.11050	−	1.97951i	−0.216342	−	0.104185i
$362$	2.29055	−	2.87226i	0.120389	−	0.150963i
$363$	3.50279	−	4.39236i	0.183849	−	0.230539i
$364$	0.769519	+	0.370581i	0.0403338	+	0.0194237i
$365$	−52.8328			−2.76540
$366$	−0.212690	−	0.102426i	−0.0111175	−	0.00535390i
$367$	−6.06826	+	26.5868i	−0.316761	+	1.38782i	0.526437	+	0.850214i	$0.323528\pi$
$367$	−6.06826	+	26.5868i	−0.316761	+	1.38782i	−0.843197	+	0.537604i	$0.819329\pi$
$368$	2.06484	−	0.994373i	0.107637	−	0.0518353i
$369$	9.09093	−	4.37796i	0.473255	−	0.227908i
$370$	−2.49552	−	10.9336i	−0.129736	−	0.568411i
$371$	2.78833	−	3.49646i	0.144763	−	0.181527i
$372$	−6.29112	−	7.88881i	−0.326179	−	0.409016i
$373$	−4.58794	+	20.1011i	−0.237555	+	1.04080i	0.705644	+	0.708566i	$0.250658\pi$
$373$	−4.58794	+	20.1011i	−0.237555	+	1.04080i	−0.943199	+	0.332229i	$0.892199\pi$
$374$	−0.832817	−	3.64881i	−0.0430639	−	0.188675i
$375$	−7.20898	−	9.03977i	−0.372270	−	0.466812i
$376$	15.6525			0.807215
$377$		0			0
$378$	−4.79837			−0.246802
$379$	−15.1457	−	18.9921i	−0.777982	−	0.975558i	−1.00000		0.000515656i	$-0.999836\pi$
$379$	−15.1457	−	18.9921i	−0.777982	−	0.975558i	0.222018	−	0.975043i	$-0.428736\pi$
$380$	−6.73582	−	29.5116i	−0.345540	−	1.51391i
$381$	2.19274	−	9.60704i	0.112338	−	0.492184i
$382$	6.56402	+	8.23102i	0.335844	+	0.421135i
$383$	−17.9902	+	22.5590i	−0.919258	+	1.15271i	0.0686449	+	0.997641i	$0.478132\pi$
$383$	−17.9902	+	22.5590i	−0.919258	+	1.15271i	−0.987903	+	0.155072i	$0.950439\pi$
$384$	−1.56531	−	6.85807i	−0.0798794	−	0.349975i
$385$	−10.7304	+	5.16748i	−0.546871	+	0.263359i
$386$	−6.94485	+	3.34446i	−0.353484	+	0.170229i
$387$	−4.21550	+	18.4693i	−0.214286	+	0.938847i
$388$	5.19312	+	2.50088i	0.263641	+	0.126963i
$389$	−19.1246			−0.969656			−0.484828	−	0.874609i	$-0.661118\pi$
$389$	−19.1246			−0.969656			−0.484828	+	0.874609i	$0.661118\pi$
$390$	−0.313108	−	0.150785i	−0.0158549	−	0.00763530i
$391$	3.37708	−	4.23472i	0.170786	−	0.214159i
$392$	2.78833	−	3.49646i	0.140832	−	0.176598i
$393$	7.97727	+	3.84165i	0.402400	+	0.193786i
$394$	−3.88854			−0.195902
$395$	21.1477	+	10.1842i	1.06405	+	0.512422i
$396$	1.30266	−	5.70733i	0.0654611	−	0.286804i
$397$	12.6638	−	6.09855i	0.635577	−	0.306078i	−0.0882095	−	0.996102i	$-0.528115\pi$
$397$	12.6638	−	6.09855i	0.635577	−	0.306078i	0.723786	+	0.690024i	$0.242400\pi$
$398$	3.25974	−	1.56981i	0.163396	−	0.0786873i
$399$	1.49272	+	6.54002i	0.0747293	+	0.327410i
$400$	11.3915	−	14.2845i	0.569574	−	0.714223i
$401$	15.6302	+	19.5996i	0.780535	+	0.978759i	0.999995	+	0.00313805i	$0.000998873\pi$
$401$	15.6302	+	19.5996i	0.780535	+	0.978759i	−0.219460	+	0.975621i	$0.570430\pi$
$402$	−0.129861	+	0.568960i	−0.00647690	+	0.0283772i
$403$	−0.530037	−	2.32225i	−0.0264030	−	0.115679i
$404$	0.623490	+	0.781831i	0.0310198	+	0.0388976i
$405$	22.0000			1.09319
$406$		0			0
$407$	−6.50658			−0.322519
$408$	−3.77568	−	4.73456i	−0.186924	−	0.234396i
$409$	−6.10072	−	26.7290i	−0.301661	−	1.32167i	−0.867619	−	0.497230i	$-0.834350\pi$
$409$	−6.10072	−	26.7290i	−0.301661	−	1.32167i	0.565957	−	0.824435i	$-0.308507\pi$
$410$	−2.04282	+	8.95017i	−0.100888	+	0.442017i
$411$	−2.75359	−	3.45289i	−0.135824	−	0.170318i
$412$	−9.26138	+	11.6134i	−0.456275	+	0.572151i
$413$	3.03030	+	13.2766i	0.149111	+	0.653299i
$414$	−1.80194	+	0.867767i	−0.0885604	+	0.0426484i
$415$	34.5307	−	16.6291i	1.69505	−	0.816292i
$416$	0.295116	−	1.29299i	0.0144692	−	0.0633939i
$417$	0.719310	+	0.346401i	0.0352248	+	0.0169634i
$418$	4.14590			0.202783
$419$	15.8231	+	7.62000i	0.773009	+	0.372261i	0.778436	−	0.627724i	$-0.216013\pi$
$419$	15.8231	+	7.62000i	0.773009	+	0.372261i	−0.00542744	+	0.999985i	$0.501728\pi$
$420$	−5.37326	+	6.73785i	−0.262188	+	0.328773i
$421$	−19.3497	+	24.2637i	−0.943045	+	1.18254i	0.0400047	+	0.999199i	$0.487263\pi$
$421$	−19.3497	+	24.2637i	−0.943045	+	1.18254i	−0.983049	+	0.183341i	$0.941309\pi$
$422$	6.48844	+	3.12467i	0.315852	+	0.152106i
$423$	18.3262			0.891052
$424$	−4.02926	−	1.94039i	−0.195678	−	0.0942335i
$425$	9.60853	−	42.0977i	0.466082	−	2.04204i
$426$	3.60388	−	1.73553i	0.174608	−	0.0840869i
$427$	−1.24511	+	0.599613i	−0.0602550	+	0.0290173i
$428$	2.43533	+	10.6699i	0.117716	+	0.515748i
$429$	−0.125712	+	0.157638i	−0.00606942	+	0.00761082i
$430$	−10.7465	−	13.4757i	−0.518243	−	0.649856i
$431$	−3.24808	+	14.2308i	−0.156455	+	0.685472i	0.834470	+	0.551053i	$0.185774\pi$
$431$	−3.24808	+	14.2308i	−0.156455	+	0.685472i	−0.990925	+	0.134419i	$0.957083\pi$
$432$	−1.43252	−	6.27629i	−0.0689222	−	0.301968i
$433$	6.47305	+	8.11695i	0.311075	+	0.390076i	0.912651	−	0.408740i	$-0.134032\pi$
$433$	6.47305	+	8.11695i	0.311075	+	0.390076i	−0.601576	+	0.798816i	$0.705460\pi$
$434$	13.9443			0.669346
$435$		0			0
$436$	23.2705			1.11446
$437$	3.74094	+	4.69099i	0.178953	+	0.224400i
$438$	−1.16513	−	5.10479i	−0.0556723	−	0.243916i
$439$	4.66054	−	20.4192i	0.222435	−	0.974553i	−0.733203	−	0.680010i	$-0.761975\pi$
$439$	4.66054	−	20.4192i	0.222435	−	0.974553i	0.955638	−	0.294543i	$-0.0951674\pi$
$440$	7.42566	+	9.31148i	0.354004	+	0.443907i
$441$	3.26463	−	4.09372i	0.155459	−	0.194939i
$442$	−0.142262	−	0.623291i	−0.00676672	−	0.0296469i
$443$	1.72070	−	0.828644i	0.0817528	−	0.0393701i	−0.392561	−	0.919726i	$-0.628411\pi$
$443$	1.72070	−	0.828644i	0.0817528	−	0.0393701i	0.474313	+	0.880356i	$0.342696\pi$
$444$	−4.24195	+	2.04281i	−0.201314	+	0.0969476i
$445$	−4.03784	+	17.6909i	−0.191412	+	0.838631i
$446$	−1.48883	−	0.716982i	−0.0704981	−	0.0339501i
$447$	−5.94427			−0.281154
$448$	−0.475589	−	0.229032i	−0.0224695	−	0.0108207i
$449$	−16.2884	+	20.4250i	−0.768698	+	0.963917i	−0.999960	−	0.00897427i	$-0.997143\pi$
$449$	−16.2884	+	20.4250i	−0.768698	+	0.963917i	0.231261	+	0.972892i	$0.425715\pi$
$450$	−9.94109	+	12.4657i	−0.468628	+	0.587640i
$451$	4.79877	+	2.31097i	0.225965	+	0.108819i
$452$	−12.8541			−0.604606
$453$	1.48883	+	0.716982i	0.0699513	+	0.0336868i
$454$	2.87271	−	12.5862i	0.134823	−	0.590697i
$455$	−1.83297	+	0.882711i	−0.0859309	+	0.0413821i
$456$	6.04388	−	2.91058i	0.283031	−	0.136300i
$457$	−4.16297	−	18.2392i	−0.194735	−	0.853191i	−0.974009	−	0.226508i	$-0.927269\pi$
$457$	−4.16297	−	18.2392i	−0.194735	−	0.853191i	0.779274	−	0.626683i	$-0.215588\pi$
$458$	0.883116	−	1.10739i	0.0412653	−	0.0517450i
$459$	−9.48626	−	11.8954i	−0.442781	−	0.555230i
$460$	−1.71524	+	7.51494i	−0.0799733	+	0.350386i
$461$	8.67358	+	38.0014i	0.403969	+	1.76990i	0.611063	+	0.791582i	$0.290742\pi$
$461$	8.67358	+	38.0014i	0.403969	+	1.76990i	−0.207094	+	0.978321i	$0.566401\pi$
$462$	−0.735930	−	0.922827i	−0.0342386	−	0.0429338i
$463$	10.7082			0.497652			0.248826	−	0.968548i	$-0.419955\pi$
$463$	10.7082			0.497652			0.248826	+	0.968548i	$0.419955\pi$
$464$		0			0
$465$	24.0344			1.11457
$466$	5.87103	+	7.36204i	0.271970	+	0.341040i
$467$	3.99298	+	17.4944i	0.184773	+	0.809543i	0.979316	+	0.202336i	$0.0648532\pi$
$467$	3.99298	+	17.4944i	0.184773	+	0.809543i	−0.794543	+	0.607207i	$0.792290\pi$
$468$	0.222521	−	0.974928i	0.0102860	−	0.0450661i
$469$	2.13010	+	2.67106i	0.0983587	+	0.123338i
$470$	−10.3959	+	13.0361i	−0.479528	+	0.601309i
$471$	2.00269	+	8.77435i	0.0922790	+	0.404301i
$472$	12.2694	−	5.90864i	0.564746	−	0.271967i
$473$	−9.00969	+	4.33884i	−0.414266	+	0.199500i
$474$	−0.517637	+	2.26791i	−0.0237758	+	0.104169i
$475$	43.0959	+	20.7539i	1.97737	+	0.952253i
$476$	−15.8541			−0.726672
$477$	−4.71753	−	2.27184i	−0.216001	−	0.104021i
$478$	−10.6903	+	13.4052i	−0.488963	+	0.613140i
$479$	−6.97083	+	8.74114i	−0.318505	+	0.399393i	−0.915151	−	0.403112i	$-0.867928\pi$
$479$	−6.97083	+	8.74114i	−0.318505	+	0.399393i	0.596645	+	0.802505i	$0.296500\pi$
$480$	12.0567	+	5.80622i	0.550312	+	0.265016i
$481$	−1.11146			−0.0506780
$482$	2.59064	+	1.24758i	0.118000	+	0.0568259i
$483$	0.380111	−	1.66538i	0.0172957	−	0.0757772i
$484$	−13.2516	+	6.38165i	−0.602347	+	0.290075i
$485$	−12.3698	+	5.95700i	−0.561686	+	0.270494i
$486$	1.91769	+	8.40196i	0.0869883	+	0.381121i
$487$	26.5372	−	33.2766i	1.20251	−	1.50790i	0.394335	−	0.918967i	$-0.370975\pi$
$487$	26.5372	−	33.2766i	1.20251	−	1.50790i	0.808178	−	0.588938i	$-0.200454\pi$
$488$	0.861642	+	1.08046i	0.0390047	+	0.0489103i
$489$	−0.829890	+	3.63598i	−0.0375289	+	0.164425i
$490$	1.06007	+	4.64449i	0.0478893	+	0.209817i
$491$	−9.43004	−	11.8249i	−0.425572	−	0.533650i	0.522105	−	0.852881i	$-0.325147\pi$
$491$	−9.43004	−	11.8249i	−0.425572	−	0.533650i	−0.947677	+	0.319231i	$0.896575\pi$
$492$	3.85410			0.173756
$493$		0			0
$494$	0.708204			0.0318636
$495$	8.69411	+	10.9021i	0.390771	+	0.490012i
$496$	4.16297	+	18.2392i	0.186923	+	0.818962i
$497$	5.21064	−	22.8293i	0.233729	−	1.02403i
$498$	2.36825	+	2.96969i	0.106124	+	0.133075i
$499$	15.3920	−	19.3010i	0.689042	−	0.864032i	−0.307110	−	0.951674i	$-0.599362\pi$
$499$	15.3920	−	19.3010i	0.689042	−	0.864032i	0.996152	+	0.0876423i	$0.0279332\pi$
$500$	6.73582	+	29.5116i	0.301235	+	1.31980i
$501$	5.86222	−	2.82310i	0.261905	−	0.126127i
$502$	10.9431	−	5.26991i	0.488413	−	0.235207i
$503$	−3.17549	+	13.9127i	−0.141588	+	0.620337i	0.853479	+	0.521128i	$0.174489\pi$
$503$	−3.17549	+	13.9127i	−0.141588	+	0.620337i	−0.995067	+	0.0992095i	$0.968369\pi$
$504$	11.7938	+	5.67961i	0.525339	+	0.252990i
$505$	−2.38197			−0.105996
$506$	−0.951178	−	0.458063i	−0.0422850	−	0.0203634i
$507$	4.98792	−	6.25465i	0.221521	−	0.277779i
$508$	−16.0850	+	20.1700i	−0.713657	+	0.894898i
$509$	−28.4367	−	13.6944i	−1.26043	−	0.606992i	−0.320143	−	0.947369i	$-0.603731\pi$
$509$	−28.4367	−	13.6944i	−1.26043	−	0.606992i	−0.940289	+	0.340377i	$0.889445\pi$
$510$	6.45085			0.285648
$511$	−27.6169	−	13.2996i	−1.22170	−	0.588340i
$512$	−4.16297	+	18.2392i	−0.183979	+	0.806064i
$513$	15.1850	−	7.31272i	0.670435	−	0.322865i
$514$	12.9075	−	6.21592i	0.569325	−	0.274173i
$515$	−7.87323	−	34.4949i	−0.346936	−	1.52003i
$516$	−4.51161	+	5.65739i	−0.198613	+	0.249053i
$517$	6.03149	+	7.56325i	0.265265	+	0.332631i
$518$	1.44785	−	6.34344i	0.0636149	−	0.278715i
$519$	0.562503	+	2.46449i	0.0246911	+	0.108179i
$520$	1.26845	+	1.59059i	0.0556254	+	0.0697520i
$521$	4.09017			0.179194			0.0895968	−	0.995978i	$-0.471442\pi$
$521$	4.09017			0.179194			0.0895968	+	0.995978i	$0.471442\pi$
$522$		0			0
$523$	−20.3820			−0.891241			−0.445621	−	0.895222i	$-0.647017\pi$
$523$	−20.3820			−0.891241			−0.445621	+	0.895222i	$0.647017\pi$
$524$	−14.4527	−	18.1231i	−0.631369	−	0.791712i
$525$	−3.03030	−	13.2766i	−0.132253	−	0.579438i
$526$	2.29780	−	10.0673i	0.100189	−	0.438957i
$527$	27.5675	+	34.5685i	1.20086	+	1.50583i
$528$	0.987354	−	1.23810i	0.0429690	−	0.0538815i
$529$	4.77800	+	20.9338i	0.207739	+	0.910165i
$530$	4.29215	−	2.06699i	0.186439	−	0.0897844i
$531$	14.3653	−	6.91796i	0.623401	−	0.300214i
$532$	3.90798	−	17.1220i	0.169432	−	0.742332i
$533$	0.819729	+	0.394760i	0.0355064	+	0.0170990i
$534$	−1.79837			−0.0778232
$535$	−23.4873	−	11.3109i	−1.01544	−	0.489011i
$536$	2.13010	−	2.67106i	0.0920061	−	0.115372i
$537$	6.16541	−	7.73117i	0.266057	−	0.333625i
$538$	3.34098	+	1.60893i	0.144040	+	0.0693659i
$539$	2.76393			0.119051
$540$	19.5082	+	9.39466i	0.839500	+	0.404282i
$541$	3.24808	−	14.2308i	0.139646	−	0.611829i	−0.855866	−	0.517197i	$-0.826975\pi$
$541$	3.24808	−	14.2308i	0.139646	−	0.611829i	0.995512	−	0.0946319i	$-0.0301674\pi$
$542$	−5.66871	+	2.72991i	−0.243492	+	0.117260i
$543$	3.30995	−	1.59399i	0.142043	−	0.0684045i
$544$	5.47803	+	24.0008i	0.234869	+	1.02903i
$545$	−34.5598	+	43.3366i	−1.48038	+	1.85634i
$546$	−0.125712	−	0.157638i	−0.00537997	−	0.00674627i
$547$	−1.64264	+	7.19688i	−0.0702343	+	0.307717i	−0.997828	−	0.0658742i	$-0.979016\pi$
$547$	−1.64264	+	7.19688i	−0.0702343	+	0.307717i	0.927594	+	0.373591i	$0.121874\pi$
$548$	2.57286	+	11.2724i	0.109907	+	0.481534i
$549$	1.00883	+	1.26503i	0.0430557	+	0.0539902i
$550$	−8.41641			−0.358877
$551$		0			0
$552$	−1.70820			−0.0727060
$553$	8.49071	+	10.6470i	0.361062	+	0.452757i
$554$	2.94057	+	12.8835i	0.124933	+	0.547366i
$555$	2.49552	−	10.9336i	0.105929	−	0.464106i
$556$	−1.30320	−	1.63416i	−0.0552680	−	0.0693038i
$557$	−3.43330	+	4.30522i	−0.145473	+	0.182418i	−0.849230	−	0.528024i	$-0.822933\pi$
$557$	−3.43330	+	4.30522i	−0.145473	+	0.182418i	0.703756	+	0.710441i	$0.251505\pi$
$558$	−3.63293	−	15.9169i	−0.153794	−	0.673816i
$559$	−1.53904	+	0.741162i	−0.0650944	+	0.0313478i
$560$	14.3963	−	6.93290i	0.608356	−	0.292969i
$561$	0.832817	−	3.64881i	0.0351616	−	0.154053i
$562$	−12.8765	−	6.20098i	−0.543161	−	0.261572i
$563$	28.3951			1.19671			0.598356	−	0.801230i	$-0.295821\pi$
$563$	28.3951			1.19671			0.598356	+	0.801230i	$0.295821\pi$
$564$	6.30678	+	3.03719i	0.265563	+	0.127889i
$565$	19.0900	−	23.9381i	0.803124	−	1.00709i
$566$	−2.01766	+	2.53006i	−0.0848084	+	0.106346i
$567$	11.4999	+	5.53806i	0.482951	+	0.232577i
$568$	−23.4164			−0.982531
$569$	1.75173	+	0.843588i	0.0734363	+	0.0353650i	0.470241	−	0.882538i	$-0.344167\pi$
$569$	1.75173	+	0.843588i	0.0734363	+	0.0353650i	−0.396805	+	0.917903i	$0.629881\pi$
$570$	−1.59011	+	6.96674i	−0.0666025	+	0.291804i
$571$	31.0894	−	14.9718i	1.30105	−	0.626552i	0.350336	−	0.936624i	$-0.386067\pi$
$571$	31.0894	−	14.9718i	1.30105	−	0.626552i	0.950713	+	0.310072i	$0.100353\pi$
$572$	0.475589	−	0.229032i	0.0198854	−	0.00957629i
$573$	2.34267	+	10.2639i	0.0978664	+	0.428781i
$574$	−3.32086	+	4.16422i	−0.138610	+	0.173811i
$575$	−7.59432	−	9.52297i	−0.316705	−	0.397135i
$576$	−0.137526	+	0.602539i	−0.00573023	+	0.0251058i
$577$	0.615033	+	2.69463i	0.0256041	+	0.112179i	0.986115	−	0.166063i	$-0.0531055\pi$
$577$	0.615033	+	2.69463i	0.0256041	+	0.112179i	−0.960511	+	0.278242i	$0.910248\pi$
$578$	0.848370	+	1.06382i	0.0352875	+	0.0442492i
$579$	−7.70820			−0.320342
$580$		0			0
$581$	22.2361			0.922508
$582$	−0.848370	−	1.06382i	−0.0351661	−	0.0440969i
$583$	−0.615033	−	2.69463i	−0.0254721	−	0.111600i
$584$	−6.82082	+	29.8840i	−0.282247	+	1.23661i
$585$	1.48513	+	1.86230i	0.0614026	+	0.0769965i
$586$	3.28611	−	4.12065i	0.135748	−	0.170223i
$587$	−10.3735	−	45.4492i	−0.428160	−	1.87589i	−0.480056	−	0.877238i	$-0.659384\pi$
$587$	−10.3735	−	45.4492i	−0.428160	−	1.87589i	0.0518966	−	0.998652i	$-0.483473\pi$
$588$	1.80194	−	0.867767i	0.0743107	−	0.0357861i
$589$	−44.1283	+	21.2511i	−1.81827	+	0.875635i
$590$	−3.22802	+	14.1429i	−0.132895	+	0.582253i
$591$	−3.50346	−	1.68718i	−0.144113	−	0.0694011i
$592$	8.72949			0.358780
$593$	13.0079	+	6.26428i	0.534171	+	0.257243i	0.681466	−	0.731849i	$-0.261343\pi$
$593$	13.0079	+	6.26428i	0.534171	+	0.257243i	−0.147295	+	0.989093i	$0.547057\pi$
$594$	−1.84900	+	2.31857i	−0.0758652	+	0.0951319i
$595$	23.5454	−	29.5250i	0.965268	−	1.21041i
$596$	14.0212	+	6.75223i	0.574329	+	0.276582i
$597$	3.61803			0.148076
$598$	−0.162481	−	0.0782465i	−0.00664433	−	0.00319974i
$599$	−2.90810	+	12.7412i	−0.118822	+	0.520592i	0.880126	+	0.474739i	$0.157458\pi$
$599$	−2.90810	+	12.7412i	−0.118822	+	0.520592i	−0.998948	+	0.0458528i	$0.985399\pi$
$600$	−12.2694	+	5.90864i	−0.500897	+	0.241219i
$601$	−26.2714	+	12.6516i	−1.07163	+	0.516071i	−0.884633	−	0.466289i	$-0.845591\pi$
$601$	−26.2714	+	12.6516i	−1.07163	+	0.516071i	−0.187000	+	0.982360i	$0.559876\pi$
$602$	−2.22521	−	9.74928i	−0.0906928	−	0.397351i
$603$	2.49396	−	3.12733i	0.101562	−	0.127355i
$604$	−2.69737	−	3.38239i	−0.109754	−	0.137627i
$605$	7.79590	−	34.1561i	0.316948	−	1.38864i
$606$	−0.0525301	−	0.230149i	−0.00213389	−	0.00934917i
$607$	6.84512	+	8.58350i	0.277835	+	0.348394i	0.901096	−	0.433620i	$-0.142764\pi$
$607$	6.84512	+	8.58350i	0.277835	+	0.348394i	−0.623261	+	0.782014i	$0.714193\pi$
$608$	−27.2705			−1.10597
$609$		0			0
$610$	−1.47214			−0.0596050
$611$	1.03030	+	1.29196i	0.0416816	+	0.0522670i
$612$	4.13050	+	18.0969i	0.166966	+	0.731524i
$613$	−6.12845	+	26.8505i	−0.247526	+	1.08448i	0.686459	+	0.727169i	$0.259164\pi$
$613$	−6.12845	+	26.8505i	−0.247526	+	1.08448i	−0.933985	+	0.357313i	$0.883693\pi$
$614$	−7.39091	−	9.26791i	−0.298273	−	0.374022i
$615$	−5.72385	+	7.17748i	−0.230808	+	0.289424i
$616$	1.53758	+	6.73659i	0.0619509	+	0.271425i
$617$	12.7760	−	6.15262i	0.514344	−	0.247695i	−0.158661	−	0.987333i	$-0.550718\pi$
$617$	12.7760	−	6.15262i	0.514344	−	0.247695i	0.673005	+	0.739638i	$0.265003\pi$
$618$	3.15932	−	1.52145i	0.127086	−	0.0612016i
$619$	−1.57005	+	6.87883i	−0.0631055	+	0.276483i	−0.996630	−	0.0820308i	$-0.973859\pi$
$619$	−1.57005	+	6.87883i	−0.0631055	+	0.276483i	0.933524	+	0.358514i	$0.116717\pi$
$620$	−56.6917	−	27.3013i	−2.27679	−	1.09644i
$621$	−4.29180			−0.172224
$622$	−1.16387	−	0.560489i	−0.0466669	−	0.0224736i
$623$	−6.56402	+	8.23102i	−0.262982	+	0.329769i
$624$	0.168660	−	0.211493i	0.00675181	−	0.00846650i
$625$	−20.5717	−	9.90679i	−0.822866	−	0.396271i
$626$	−7.97871			−0.318894
$627$	3.73533	+	1.79884i	0.149175	+	0.0718387i
$628$	5.24311	−	22.9715i	0.209223	−	0.916665i
$629$	18.5881	−	8.95154i	0.741154	−	0.356921i
$630$	−12.5634	+	6.05019i	−0.500536	+	0.241045i
$631$	6.27838	+	27.5074i	0.249938	+	1.09505i	0.931629	+	0.363411i	$0.118388\pi$
$631$	6.27838	+	27.5074i	0.249938	+	1.09505i	−0.681691	+	0.731641i	$0.738755\pi$
$632$	8.49071	−	10.6470i	0.337742	−	0.423515i
$633$	4.49014	+	5.63046i	0.178467	+	0.223791i
$634$	−3.81058	+	16.6953i	−0.151338	+	0.663054i
$635$	−13.6741	−	59.9101i	−0.542640	−	2.37746i
$636$	−1.24698	−	1.56366i	−0.0494460	−	0.0620033i
$637$	0.472136			0.0187067
$638$		0			0
$639$	−27.4164			−1.08458
$640$	−27.3508	−	34.2968i	−1.08113	−	1.35570i
$641$	−2.46013	−	10.7785i	−0.0971693	−	0.425727i	0.902821	−	0.430016i	$-0.141492\pi$
$641$	−2.46013	−	10.7785i	−0.0971693	−	0.425727i	−0.999991	+	0.00428892i	$0.998635\pi$
$642$	0.574903	−	2.51882i	0.0226896	−	0.0994097i
$643$	−23.3287	−	29.2533i	−0.919996	−	1.15364i	−0.987767	−	0.155938i	$-0.950160\pi$
$643$	−23.3287	−	29.2533i	−0.919996	−	1.15364i	0.0677709	−	0.997701i	$-0.478411\pi$
$644$	−2.78833	+	3.49646i	−0.109876	+	0.137780i
$645$	−3.83539	−	16.8039i	−0.151018	−	0.661654i
$646$	−11.8440	+	5.70379i	−0.465998	+	0.224413i
$647$	27.5047	−	13.2455i	1.08132	−	0.520736i	0.193581	−	0.981084i	$-0.437990\pi$
$647$	27.5047	−	13.2455i	1.08132	−	0.520736i	0.887738	+	0.460348i	$0.152275\pi$
$648$	2.84024	−	12.4439i	0.111575	−	0.488843i
$649$	7.58292	+	3.65174i	0.297656	+	0.143343i
$650$	−1.43769			−0.0563910
$651$	12.5634	+	6.05019i	0.492397	+	0.237126i
$652$	6.08771	−	7.63375i	0.238413	−	0.298961i
$653$	29.9357	−	37.5382i	1.17147	−	1.46898i	0.317815	−	0.948153i	$-0.397051\pi$
$653$	29.9357	−	37.5382i	1.17147	−	1.46898i	0.853660	−	0.520830i	$-0.174378\pi$
$654$	−4.94940	−	2.38351i	−0.193537	−	0.0932025i
$655$	55.2148			2.15742
$656$	−6.43823	−	3.10049i	−0.251371	−	0.121054i
$657$	−7.98595	+	34.9887i	−0.311562	+	1.36504i
$658$	−8.71576	+	4.19729i	−0.339776	+	0.163627i
$659$	6.35699	−	3.06137i	0.247633	−	0.119254i	−0.305950	−	0.952047i	$-0.598974\pi$
$659$	6.35699	−	3.06137i	0.247633	−	0.119254i	0.553584	+	0.832794i	$0.313260\pi$
$660$	1.18520	+	5.19270i	0.0461338	+	0.202125i
$661$	−23.3502	+	29.2803i	−0.908218	+	1.13887i	0.0816186	+	0.996664i	$0.473991\pi$
$661$	−23.3502	+	29.2803i	−0.908218	+	1.13887i	−0.989837	+	0.142206i	$0.954580\pi$
$662$	8.16159	+	10.2343i	0.317209	+	0.397768i
$663$	0.142262	−	0.623291i	0.00552500	−	0.0242066i
$664$	−4.94799	−	21.6786i	−0.192019	−	0.841291i
$665$	26.0823	+	32.7062i	1.01143	+	1.26829i
$666$	−7.61803			−0.295193
$667$		0			0
$668$	−17.0344			−0.659082
$669$	−1.03030	−	1.29196i	−0.0398338	−	0.0499500i
$670$	0.809825	+	3.54807i	0.0312863	+	0.137074i
$671$	−0.190056	+	0.832688i	−0.00733701	+	0.0321456i
$672$	4.84073	+	6.07009i	0.186735	+	0.234159i
$673$	−4.03531	+	5.06012i	−0.155550	+	0.195053i	−0.853500	−	0.521093i	$-0.825524\pi$
$673$	−4.03531	+	5.06012i	−0.155550	+	0.195053i	0.697950	+	0.716147i	$0.254096\pi$
$674$	4.68534	+	20.5278i	0.180473	+	0.790702i
$675$	−30.8265	+	14.8452i	−1.18651	+	0.571393i
$676$	−18.8701	+	9.08738i	−0.725774	+	0.349515i
$677$	9.08616	−	39.8091i	0.349209	−	1.52999i	−0.429771	−	0.902938i	$-0.641406\pi$
$677$	9.08616	−	39.8091i	0.349209	−	1.52999i	0.778980	−	0.627048i	$-0.215737\pi$
$678$	2.73394	+	1.31659i	0.104996	+	0.0505635i
$679$	−7.96556			−0.305690
$680$	−34.0241	−	16.3852i	−1.30477	−	0.628342i
$681$	8.04915	−	10.0933i	0.308444	−	0.386777i
$682$	5.37326	−	6.73785i	0.205753	−	0.258006i
$683$	−18.7889	−	9.04826i	−0.718937	−	0.346222i	0.0383853	−	0.999263i	$-0.487779\pi$
$683$	−18.7889	−	9.04826i	−0.718937	−	0.346222i	−0.757322	+	0.653041i	$0.773493\pi$
$684$	−20.5623			−0.786219
$685$	−24.8136	−	11.9496i	−0.948079	−	0.456571i
$686$	−2.76765	+	12.1259i	−0.105669	+	0.462967i
$687$	1.27614	−	0.614556i	0.0486878	−	0.0234468i
$688$	12.0878	−	5.82116i	0.460842	−	0.221930i
$689$	−0.105060	−	0.460299i	−0.00400247	−	0.0175360i
$690$	1.13454	−	1.42267i	0.0431912	−	0.0541600i
$691$	7.37764	+	9.25127i	0.280659	+	0.351935i	0.902101	−	0.431525i	$-0.142024\pi$
$691$	7.37764	+	9.25127i	0.280659	+	0.351935i	−0.621442	+	0.783460i	$0.713453\pi$
$692$	1.47265	−	6.45211i	0.0559818	−	0.245272i
$693$	1.80023	+	7.88733i	0.0683852	+	0.299615i
$694$	−12.3788	−	15.5226i	−0.469894	−	0.589228i
$695$	4.97871			0.188853
$696$		0			0
$697$	−16.8885			−0.639699
$698$	1.74476	+	2.18786i	0.0660400	+	0.0828116i
$699$	2.09535	+	9.18032i	0.0792533	+	0.347232i
$700$	−7.93342	+	34.7586i	−0.299855	+	1.31375i
$701$	−13.1280	−	16.4620i	−0.495839	−	0.621762i	0.469446	−	0.882961i	$-0.344454\pi$
$701$	−13.1280	−	16.4620i	−0.495839	−	0.621762i	−0.965285	+	0.261199i	$0.915882\pi$
$702$	−0.315846	+	0.396058i	−0.0119208	+	0.0149483i
$703$	5.08552	+	22.2811i	0.191804	+	0.840348i
$704$	−0.293930	+	0.141549i	−0.0110779	+	0.00533484i
$705$	−15.0225	+	7.23447i	−0.565782	+	0.272466i
$706$	2.63012	−	11.5233i	0.0989859	−	0.433686i
$707$	−1.24511	−	0.599613i	−0.0468271	−	0.0225508i
$708$	6.09017			0.228883
$709$	37.3961	+	18.0090i	1.40444	+	0.676343i	0.974057	−	0.226302i	$-0.0726638\pi$
$709$	37.3961	+	18.0090i	1.40444	+	0.676343i	0.430384	+	0.902646i	$0.358378\pi$
$710$	15.5525	−	19.5022i	0.583675	−	0.731905i
$711$	9.94109	−	12.4657i	0.372820	−	0.467502i
$712$	9.48528	+	4.56787i	0.355476	+	0.171188i
$713$	12.4721			0.467085
$714$	3.37201	+	1.62387i	0.126194	+	0.0607719i
$715$	−0.279788	+	1.22583i	−0.0104635	+	0.0458434i
$716$	−23.3248	+	11.2326i	−0.871688	+	0.419783i
$717$	−15.4479	+	7.43933i	−0.576913	+	0.277827i
$718$	3.26815	+	14.3187i	0.121966	+	0.534369i
$719$	5.30376	−	6.65071i	0.197797	−	0.248030i	−0.673035	−	0.739611i	$-0.735010\pi$
$719$	5.30376	−	6.65071i	0.197797	−	0.248030i	0.870832	+	0.491581i	$0.163581\pi$
$720$	−11.6644	−	14.6267i	−0.434706	−	0.545104i
$721$	4.56788	−	20.0132i	0.170117	−	0.745330i
$722$	−0.627433	−	2.74897i	−0.0233507	−	0.102306i
$723$	1.79278	+	2.24807i	0.0666740	+	0.0836066i
$724$	−9.61803			−0.357451
$725$		0			0
$726$	3.47214			0.128863
$727$	17.4925	+	21.9349i	0.648759	+	0.813519i	0.992068	−	0.125704i	$-0.0401190\pi$
$727$	17.4925	+	21.9349i	0.648759	+	0.813519i	−0.343308	+	0.939223i	$0.611548\pi$
$728$	0.262650	+	1.15075i	0.00973447	+	0.0426495i
$729$	1.89289	−	8.29330i	0.0701071	−	0.307159i
$730$	−20.3585	−	25.5287i	−0.753501	−	0.944861i
$731$	19.7697	−	24.7905i	0.731210	−	0.916909i
$732$	0.137526	+	0.602539i	0.00508309	+	0.0222705i
$733$	−13.3521	+	6.43001i	−0.493169	+	0.237498i	−0.663902	−	0.747820i	$-0.731101\pi$
$733$	−13.3521	+	6.43001i	−0.493169	+	0.237498i	0.170733	+	0.985317i	$0.445387\pi$
$734$	−15.1850	+	7.31272i	−0.560489	+	0.269917i
$735$	−1.06007	+	4.64449i	−0.0391014	+	0.171315i
$736$	6.25657	+	3.01301i	0.230620	+	0.111061i
$737$	2.11146			0.0777765
$738$	5.61850	+	2.70573i	0.206820	+	0.0995992i
$739$	−31.2174	+	39.1454i	−1.14835	+	1.43999i	−0.269432	+	0.963020i	$0.586836\pi$
$739$	−31.2174	+	39.1454i	−1.14835	+	1.43999i	−0.878920	+	0.476968i	$0.841736\pi$
$740$	−18.3061	+	22.9551i	−0.672945	+	0.843846i
$741$	0.638070	+	0.307278i	0.0234401	+	0.0112881i
$742$	2.76393			0.101467
$743$	−31.7466	−	15.2884i	−1.16467	−	0.560875i	−0.251261	−	0.967919i	$-0.580845\pi$
$743$	−31.7466	−	15.2884i	−1.16467	−	0.560875i	−0.913409	+	0.407044i	$0.866560\pi$
$744$	3.10289	−	13.5947i	0.113758	−	0.498404i
$745$	−33.3979	+	16.0836i	−1.22360	+	0.589257i
$746$	−11.4807	+	5.52883i	−0.420339	+	0.202425i
$747$	−5.79321	−	25.3817i	−0.211962	−	0.928668i
$748$	−6.10919	+	7.66068i	−0.223374	+	0.280102i
$749$	−9.43004	−	11.8249i	−0.344566	−	0.432072i
$750$	1.59011	−	6.96674i	0.0580627	−	0.254389i
$751$	4.12284	+	18.0633i	0.150444	+	0.659140i	0.992756	+	0.120149i	$0.0383373\pi$
$751$	4.12284	+	18.0633i	0.150444	+	0.659140i	−0.842311	+	0.538991i	$0.818806\pi$
$752$	−8.09210	−	10.1472i	−0.295088	−	0.370029i
$753$	12.1459			0.442621
$754$		0			0
$755$	10.3050			0.375036
$756$	7.83247	+	9.82161i	0.284864	+	0.357208i
$757$	0.00473663	+	0.0207525i	0.000172156	+	0.000754264i	0.975014	−	0.222144i	$-0.0713054\pi$
$757$	0.00473663	+	0.0207525i	0.000172156	+	0.000754264i	−0.974842	+	0.222898i	$0.928448\pi$
$758$	3.34074	−	14.6367i	0.121341	−	0.531630i
$759$	−0.658236	−	0.825401i	−0.0238924	−	0.0299602i
$760$	26.0823	−	32.7062i	0.946106	−	1.18638i
$761$	−5.60789	−	24.5698i	−0.203286	−	0.890653i	−0.968919	−	0.247377i	$-0.920432\pi$
$761$	−5.60789	−	24.5698i	−0.203286	−	0.890653i	0.765634	−	0.643277i	$-0.222426\pi$
$762$	5.48705	−	2.64243i	0.198775	−	0.0957250i
$763$	−28.9743	+	13.9533i	−1.04894	+	0.505143i
$764$	6.13319	−	26.8713i	0.221891	−	0.972168i
$765$	−39.8361	−	19.1841i	−1.44028	−	0.693602i
$766$	−17.8328			−0.644326
$767$	1.29532	+	0.623792i	0.0467712	+	0.0225238i
$768$

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:	\( N \)	\(=\)	\( 841 = 29^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	841.d (of order \(7\), degree \(6\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.385338 + 0.483198i) q^{2} +(0.137526 + 0.602539i) q^{3} +(0.360046 - 1.57747i) q^{4} +(2.40299 + 3.01326i) q^{5} +(-0.238152 + 0.298633i) q^{6} +(0.497572 + 2.18001i) q^{7} +(2.01463 - 0.970194i) q^{8} +(2.35877 - 1.13592i) q^{9} +O(q^{10})\)	\(q+(0.385338 + 0.483198i) q^{2} +(0.137526 + 0.602539i) q^{3} +(0.360046 - 1.57747i) q^{4} +(2.40299 + 3.01326i) q^{5} +(-0.238152 + 0.298633i) q^{6} +(0.497572 + 2.18001i) q^{7} +(2.01463 - 0.970194i) q^{8} +(2.35877 - 1.13592i) q^{9} +(-0.530037 + 2.32225i) q^{10} +(1.24511 + 0.599613i) q^{11} +1.00000 q^{12} +(0.212690 + 0.102426i) q^{13} +(-0.861642 + 1.08046i) q^{14} +(-1.48513 + 1.86230i) q^{15} +(-1.67049 - 0.804465i) q^{16} -4.38197 q^{17} +(1.45780 + 0.702039i) q^{18} +(1.08014 - 4.73240i) q^{19} +(5.61850 - 2.70573i) q^{20} +(-1.24511 + 0.599613i) q^{21} +(0.190056 + 0.832688i) q^{22} +(-0.770676 + 0.966397i) q^{23} +(0.861642 + 1.08046i) q^{24} +(-2.19274 + 9.60704i) q^{25} +(0.0324654 + 0.142240i) q^{26} +(2.16484 + 2.71463i) q^{27} +3.61803 q^{28} -1.47214 q^{30} +(-6.29112 - 7.88881i) q^{31} +(-1.25013 - 5.47718i) q^{32} +(-0.190056 + 0.832688i) q^{33} +(-1.68854 - 2.11736i) q^{34} +(-5.37326 + 6.73785i) q^{35} +(-0.942614 - 4.12986i) q^{36} +(-4.24195 + 2.04281i) q^{37} +(2.70291 - 1.30165i) q^{38} +(-0.0324654 + 0.142240i) q^{39} +(7.76458 + 3.73922i) q^{40} +3.85410 q^{41} +(-0.769519 - 0.370581i) q^{42} +(-4.51161 + 5.65739i) q^{43} +(1.39417 - 1.74823i) q^{44} +(9.09093 + 4.37796i) q^{45} -0.763932 q^{46} +(6.30678 + 3.03719i) q^{47} +(0.254986 - 1.11717i) q^{48} +(1.80194 - 0.867767i) q^{49} +(-5.48705 + 2.64243i) q^{50} +(-0.602632 - 2.64030i) q^{51} +(0.238152 - 0.298633i) q^{52} +(-1.24698 - 1.56366i) q^{53} +(-0.477507 + 2.09210i) q^{54} +(1.18520 + 5.19270i) q^{55} +(3.11745 + 3.90916i) q^{56} +3.00000 q^{57} +6.09017 q^{59} +(2.40299 + 3.01326i) q^{60} +(0.137526 + 0.602539i) q^{61} +(1.38766 - 6.07972i) q^{62} +(3.64997 + 4.57692i) q^{63} +(-0.147186 + 0.184565i) q^{64} +(0.202456 + 0.887019i) q^{65} +(-0.475589 + 0.229032i) q^{66} +(1.37656 - 0.662915i) q^{67} +(-1.57771 + 6.91240i) q^{68} +(-0.688279 - 0.331458i) q^{69} -5.32624 q^{70} +(-9.43507 - 4.54369i) q^{71} +(3.64997 - 4.57692i) q^{72} +(-8.54693 + 10.7175i) q^{73} +(-2.62167 - 1.26253i) q^{74} -6.09017 q^{75} +(-7.07630 - 3.40777i) q^{76} +(-0.687628 + 3.01269i) q^{77} +(-0.0812403 + 0.0391233i) q^{78} +(5.48705 - 2.64243i) q^{79} +(-1.59011 - 6.96674i) q^{80} +(3.55901 - 4.46285i) q^{81} +(1.48513 + 1.86230i) q^{82} +(2.21281 - 9.69495i) q^{83} +(0.497572 + 2.18001i) q^{84} +(-10.5298 - 13.2040i) q^{85} -4.47214 q^{86} +3.09017 q^{88} +(2.93552 + 3.68102i) q^{89} +(1.38766 + 6.07972i) q^{90} +(-0.117461 + 0.514629i) q^{91} +(1.24698 + 1.56366i) q^{92} +(3.88812 - 4.87555i) q^{93} +(0.962679 + 4.21777i) q^{94} +(16.8555 - 8.11719i) q^{95} +(3.12829 - 1.50650i) q^{96} +(-0.792688 + 3.47299i) q^{97} +(1.11366 + 0.536310i) q^{98} +3.61803 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + q^{2} - q^{3} + q^{4} - q^{5} + 3 q^{6} + 3 q^{9}+O(q^{10}) \) 12 * q + q^2 - q^3 + q^4 - q^5 + 3 * q^6 + 3 * q^9	\( 12 q + q^{2} - q^{3} + q^{4} - q^{5} + 3 q^{6} + 3 q^{9} - 7 q^{10} + 5 q^{11} + 12 q^{12} - 4 q^{13} + 5 q^{14} + 7 q^{15} + 3 q^{16} - 66 q^{17} + q^{18} + 3 q^{19} + 8 q^{20} - 5 q^{21} - 5 q^{22} - 2 q^{23} - 5 q^{24} - 13 q^{25} + 7 q^{26} + 2 q^{27} + 30 q^{28} + 36 q^{30} + 9 q^{31} - 9 q^{32} + 5 q^{33} - 8 q^{34} + 15 q^{35} - 4 q^{36} + 4 q^{37} + 6 q^{38} - 7 q^{39} + 15 q^{40} + 6 q^{41} + 5 q^{42} + 10 q^{43} + 9 q^{45} - 36 q^{46} + 14 q^{47} + 9 q^{48} + 4 q^{49} - q^{50} + 8 q^{51} - 3 q^{52} + 4 q^{53} - 11 q^{54} - 5 q^{55} - 10 q^{56} + 36 q^{57} + 6 q^{59} - q^{60} - q^{61} + 8 q^{62} - 5 q^{63} - 4 q^{64} + 13 q^{65} - 10 q^{66} + 12 q^{67} - 3 q^{68} - 6 q^{69} + 30 q^{70} - 12 q^{71} - 5 q^{72} + 14 q^{73} - 17 q^{74} - 6 q^{75} - 9 q^{76} + 5 q^{77} + 11 q^{78} + q^{79} - 21 q^{80} + 2 q^{81} - 7 q^{82} + 2 q^{83} - 2 q^{85} - 30 q^{88} + 4 q^{89} + 8 q^{90} - 10 q^{91} - 4 q^{92} - 8 q^{93} - 7 q^{94} + 24 q^{95} - 2 q^{96} + 13 q^{97} - 2 q^{98} + 30 q^{99}+O(q^{100}) \) 12 * q + q^2 - q^3 + q^4 - q^5 + 3 * q^6 + 3 * q^9 - 7 * q^10 + 5 * q^11 + 12 * q^12 - 4 * q^13 + 5 * q^14 + 7 * q^15 + 3 * q^16 - 66 * q^17 + q^18 + 3 * q^19 + 8 * q^20 - 5 * q^21 - 5 * q^22 - 2 * q^23 - 5 * q^24 - 13 * q^25 + 7 * q^26 + 2 * q^27 + 30 * q^28 + 36 * q^30 + 9 * q^31 - 9 * q^32 + 5 * q^33 - 8 * q^34 + 15 * q^35 - 4 * q^36 + 4 * q^37 + 6 * q^38 - 7 * q^39 + 15 * q^40 + 6 * q^41 + 5 * q^42 + 10 * q^43 + 9 * q^45 - 36 * q^46 + 14 * q^47 + 9 * q^48 + 4 * q^49 - q^50 + 8 * q^51 - 3 * q^52 + 4 * q^53 - 11 * q^54 - 5 * q^55 - 10 * q^56 + 36 * q^57 + 6 * q^59 - q^60 - q^61 + 8 * q^62 - 5 * q^63 - 4 * q^64 + 13 * q^65 - 10 * q^66 + 12 * q^67 - 3 * q^68 - 6 * q^69 + 30 * q^70 - 12 * q^71 - 5 * q^72 + 14 * q^73 - 17 * q^74 - 6 * q^75 - 9 * q^76 + 5 * q^77 + 11 * q^78 + q^79 - 21 * q^80 + 2 * q^81 - 7 * q^82 + 2 * q^83 - 2 * q^85 - 30 * q^88 + 4 * q^89 + 8 * q^90 - 10 * q^91 - 4 * q^92 - 8 * q^93 - 7 * q^94 + 24 * q^95 - 2 * q^96 + 13 * q^97 - 2 * q^98 + 30 * q^99

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