LMFDB - Embedded newform 961.2.d.l.628.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [961,2,Mod(374,961)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(961, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("961.374");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 961 = 31^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	961.d (of order $5$, degree $4$, 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:	$7.67362363425$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.64000000.2
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} + 2x^{6} + 4x^{4} + 8x^{2} + 16 $ x^8 + 2x^6 + 4x^4 + 8*x^2 + 16
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 31)
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			628.2
Root			$-1.14412 + 0.831254i$ of defining polynomial
Character	$\chi$	$=$	961.628
Dual form			961.2.d.l.531.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.127999 - 0.393941i) q^{2} +(0.127999 + 0.393941i) q^{3} +(1.47923 + 1.07472i) q^{4} +1.00000 q^{5} +0.171573 q^{6} +(0.335106 + 0.243469i) q^{7} +(1.28293 - 0.932102i) q^{8} +(2.28825 - 1.66251i) q^{9} +O(q^{10})$	\(q+(0.127999 - 0.393941i) q^{2} +(0.127999 + 0.393941i) q^{3} +(1.47923 + 1.07472i) q^{4} +1.00000 q^{5} +0.171573 q^{6} +(0.335106 + 0.243469i) q^{7} +(1.28293 - 0.932102i) q^{8} +(2.28825 - 1.66251i) q^{9} +(0.127999 - 0.393941i) q^{10} +(-2.62335 - 1.90598i) q^{11} +(-0.234037 + 0.720292i) q^{12} +(-1.18305 - 3.64105i) q^{13} +(0.138805 - 0.100848i) q^{14} +(0.127999 + 0.393941i) q^{15} +(0.927051 + 2.85317i) q^{16} +(4.71530 - 3.42586i) q^{17} +(-0.362036 - 1.11423i) q^{18} +(1.36407 - 4.19817i) q^{19} +(1.47923 + 1.07472i) q^{20} +(-0.0530189 + 0.163176i) q^{21} +(-1.08663 + 0.789481i) q^{22} +(3.23607 - 2.35114i) q^{23} +(0.531406 + 0.386089i) q^{24} -4.00000 q^{25} -1.58579 q^{26} +(1.95314 + 1.41904i) q^{27} +(0.234037 + 0.720292i) q^{28} +(-2.11010 + 6.49422i) q^{29} +0.171573 q^{30} +4.41421 q^{32} +(0.415055 - 1.27741i) q^{33} +(-0.746033 - 2.29605i) q^{34} +(0.335106 + 0.243469i) q^{35} +5.17157 q^{36} +1.00000 q^{37} +(-1.47923 - 1.07472i) q^{38} +(1.28293 - 0.932102i) q^{39} +(1.28293 - 0.932102i) q^{40} +(-2.31308 + 7.11893i) q^{41} +(0.0574951 + 0.0417726i) q^{42} +(-3.36813 + 10.3660i) q^{43} +(-1.83214 - 5.63875i) q^{44} +(2.28825 - 1.66251i) q^{45} +(-0.511996 - 1.57576i) q^{46} +(2.98413 + 9.18421i) q^{47} +(-1.00532 + 0.730406i) q^{48} +(-2.11010 - 6.49422i) q^{49} +(-0.511996 + 1.57576i) q^{50} +(1.95314 + 1.41904i) q^{51} +(2.16312 - 6.65740i) q^{52} +(-4.71530 + 3.42586i) q^{53} +(0.809017 - 0.587785i) q^{54} +(-2.62335 - 1.90598i) q^{55} +0.656854 q^{56} +1.82843 q^{57} +(2.28825 + 1.66251i) q^{58} +(1.25803 + 3.87182i) q^{59} +(-0.234037 + 0.720292i) q^{60} -2.82843 q^{61} +1.17157 q^{63} +(-1.28909 + 3.96740i) q^{64} +(-1.18305 - 3.64105i) q^{65} +(-0.450096 - 0.327014i) q^{66} +3.24264 q^{67} +10.6569 q^{68} +(1.34042 + 0.973874i) q^{69} +(0.138805 - 0.100848i) q^{70} +(-0.0574951 + 0.0417726i) q^{71} +(1.38603 - 4.26576i) q^{72} +(1.47923 + 1.07472i) q^{73} +(0.127999 - 0.393941i) q^{74} +(-0.511996 - 1.57576i) q^{75} +(6.52963 - 4.74405i) q^{76} +(-0.415055 - 1.27741i) q^{77} +(-0.202979 - 0.624706i) q^{78} +(5.46682 - 3.97188i) q^{79} +(0.927051 + 2.85317i) q^{80} +(2.31308 - 7.11893i) q^{81} +(2.50836 + 1.82243i) q^{82} +(-3.11213 + 9.57815i) q^{83} +(-0.253796 + 0.184393i) q^{84} +(4.71530 - 3.42586i) q^{85} +(3.65248 + 2.65369i) q^{86} -2.82843 q^{87} -5.14214 q^{88} +(-3.62867 - 2.63638i) q^{89} +(-0.362036 - 1.11423i) q^{90} +(0.490035 - 1.50817i) q^{91} +7.31371 q^{92} +4.00000 q^{94} +(1.36407 - 4.19817i) q^{95} +(0.565015 + 1.73894i) q^{96} +(-4.18389 - 3.03977i) q^{97} -2.82843 q^{98} -9.17157 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} + 24 q^{6} - 2 q^{7} + 6 q^{8}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 + 24 * q^6 - 2 * q^7 + 6 * q^8	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} + 24 q^{6} - 2 q^{7} + 6 q^{8} + 2 q^{10} + 2 q^{11} + 10 q^{12} + 2 q^{13} + 6 q^{14} + 2 q^{15} - 6 q^{16} + 6 q^{17} + 8 q^{18} - 6 q^{19} - 2 q^{20} + 6 q^{21} - 14 q^{22} + 8 q^{23} - 10 q^{24} - 32 q^{25} - 24 q^{26} + 2 q^{27} - 10 q^{28} + 8 q^{29} + 24 q^{30} + 24 q^{32} - 14 q^{33} + 2 q^{34} - 2 q^{35} + 64 q^{36} + 8 q^{37} + 2 q^{38} + 6 q^{39} + 6 q^{40} - 2 q^{41} - 14 q^{42} + 2 q^{43} + 26 q^{44} - 8 q^{46} - 8 q^{47} + 6 q^{48} + 8 q^{49} - 8 q^{50} + 2 q^{51} - 14 q^{52} - 6 q^{53} + 2 q^{54} + 2 q^{55} - 40 q^{56} - 8 q^{57} + 6 q^{59} + 10 q^{60} + 32 q^{63} + 14 q^{64} + 2 q^{65} + 30 q^{66} - 8 q^{67} + 40 q^{68} - 8 q^{69} + 6 q^{70} + 14 q^{71} + 8 q^{72} - 2 q^{73} + 2 q^{74} - 8 q^{75} + 2 q^{76} + 14 q^{77} - 10 q^{78} + 22 q^{79} - 6 q^{80} + 2 q^{81} + 26 q^{82} + 6 q^{83} + 22 q^{84} + 6 q^{85} + 26 q^{86} + 72 q^{88} + 8 q^{89} + 8 q^{90} - 6 q^{91} - 32 q^{92} + 32 q^{94} - 6 q^{95} + 2 q^{96} - 16 q^{97} - 96 q^{99}+O(q^{100}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 + 24 * q^6 - 2 * q^7 + 6 * q^8 + 2 * q^10 + 2 * q^11 + 10 * q^12 + 2 * q^13 + 6 * q^14 + 2 * q^15 - 6 * q^16 + 6 * q^17 + 8 * q^18 - 6 * q^19 - 2 * q^20 + 6 * q^21 - 14 * q^22 + 8 * q^23 - 10 * q^24 - 32 * q^25 - 24 * q^26 + 2 * q^27 - 10 * q^28 + 8 * q^29 + 24 * q^30 + 24 * q^32 - 14 * q^33 + 2 * q^34 - 2 * q^35 + 64 * q^36 + 8 * q^37 + 2 * q^38 + 6 * q^39 + 6 * q^40 - 2 * q^41 - 14 * q^42 + 2 * q^43 + 26 * q^44 - 8 * q^46 - 8 * q^47 + 6 * q^48 + 8 * q^49 - 8 * q^50 + 2 * q^51 - 14 * q^52 - 6 * q^53 + 2 * q^54 + 2 * q^55 - 40 * q^56 - 8 * q^57 + 6 * q^59 + 10 * q^60 + 32 * q^63 + 14 * q^64 + 2 * q^65 + 30 * q^66 - 8 * q^67 + 40 * q^68 - 8 * q^69 + 6 * q^70 + 14 * q^71 + 8 * q^72 - 2 * q^73 + 2 * q^74 - 8 * q^75 + 2 * q^76 + 14 * q^77 - 10 * q^78 + 22 * q^79 - 6 * q^80 + 2 * q^81 + 26 * q^82 + 6 * q^83 + 22 * q^84 + 6 * q^85 + 26 * q^86 + 72 * q^88 + 8 * q^89 + 8 * q^90 - 6 * q^91 - 32 * q^92 + 32 * q^94 - 6 * q^95 + 2 * q^96 - 16 * q^97 - 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/961\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{2}{5}\right)$

Coefficient data

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

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

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

$2$	0.127999	−	0.393941i	0.0905090	−	0.278558i	−0.895548	−	0.444964i	$-0.853216\pi$
$2$	0.127999	−	0.393941i	0.0905090	−	0.278558i	0.986057	+	0.166406i	$0.0532163\pi$
$3$	0.127999	+	0.393941i	0.0739003	+	0.227442i	0.981183	−	0.193079i	$-0.0618474\pi$
$3$	0.127999	+	0.393941i	0.0739003	+	0.227442i	−0.907283	+	0.420521i	$0.861847\pi$
$4$	1.47923	+	1.07472i	0.739614	+	0.537361i
$5$	1.00000			0.447214			0.223607	−	0.974679i	$-0.428217\pi$
$5$	1.00000			0.447214			0.223607	+	0.974679i	$0.428217\pi$
$6$	0.171573			0.0700443
$7$	0.335106	+	0.243469i	0.126658	+	0.0920225i	0.649311	−	0.760523i	$-0.275058\pi$
$7$	0.335106	+	0.243469i	0.126658	+	0.0920225i	−0.522653	+	0.852546i	$0.675058\pi$
$8$	1.28293	−	0.932102i	0.453584	−	0.329548i
$9$	2.28825	−	1.66251i	0.762749	−	0.554169i
$10$	0.127999	−	0.393941i	0.0404768	−	0.124575i
$11$	−2.62335	−	1.90598i	−0.790970	−	0.574673i	0.117281	−	0.993099i	$-0.462582\pi$
$11$	−2.62335	−	1.90598i	−0.790970	−	0.574673i	−0.908251	+	0.418425i	$0.862582\pi$
$12$	−0.234037	+	0.720292i	−0.0675606	+	0.207930i
$13$	−1.18305	−	3.64105i	−0.328119	−	1.00985i	−0.970013	−	0.243053i	$-0.921851\pi$
$13$	−1.18305	−	3.64105i	−0.328119	−	1.00985i	0.641894	−	0.766793i	$-0.278149\pi$
$14$	0.138805	−	0.100848i	0.0370973	−	0.0269528i
$15$	0.127999	+	0.393941i	0.0330492	+	0.101715i
$16$	0.927051	+	2.85317i	0.231763	+	0.713292i
$17$	4.71530	−	3.42586i	1.14363	−	0.830894i	0.156007	−	0.987756i	$-0.450138\pi$
$17$	4.71530	−	3.42586i	1.14363	−	0.830894i	0.987621	+	0.156862i	$0.0501378\pi$
$18$	−0.362036	−	1.11423i	−0.0853327	−	0.262627i
$19$	1.36407	−	4.19817i	0.312938	−	0.963125i	−0.663656	−	0.748038i	$-0.730996\pi$
$19$	1.36407	−	4.19817i	0.312938	−	0.963125i	0.976595	−	0.215088i	$-0.0690038\pi$
$20$	1.47923	+	1.07472i	0.330766	+	0.240315i
$21$	−0.0530189	+	0.163176i	−0.0115697	+	0.0356078i
$22$	−1.08663	+	0.789481i	−0.231670	+	0.168318i
$23$	3.23607	−	2.35114i	0.674767	−	0.490247i	−0.196851	−	0.980433i	$-0.563071\pi$
$23$	3.23607	−	2.35114i	0.674767	−	0.490247i	0.871617	+	0.490187i	$0.163071\pi$
$24$	0.531406	+	0.386089i	0.108473	+	0.0788101i
$25$	−4.00000			−0.800000
$26$	−1.58579			−0.310998
$27$	1.95314	+	1.41904i	0.375882	+	0.273094i
$28$	0.234037	+	0.720292i	0.0442288	+	0.136122i
$29$	−2.11010	+	6.49422i	−0.391836	+	1.20595i	0.539563	+	0.841945i	$0.318590\pi$
$29$	−2.11010	+	6.49422i	−0.391836	+	1.20595i	−0.931399	+	0.364001i	$0.881410\pi$
$30$	0.171573			0.0313248
$31$		0			0
$31$		0			0
$32$	4.41421			0.780330
$33$	0.415055	−	1.27741i	0.0722518	−	0.222368i
$34$	−0.746033	−	2.29605i	−0.127944	−	0.393770i
$35$	0.335106	+	0.243469i	0.0566432	+	0.0411537i
$36$	5.17157			0.861929
$37$	1.00000			0.164399			0.0821995	−	0.996616i	$-0.473806\pi$
$37$	1.00000			0.164399			0.0821995	+	0.996616i	$0.473806\pi$
$38$	−1.47923	−	1.07472i	−0.239963	−	0.174343i
$39$	1.28293	−	0.932102i	0.205433	−	0.149256i
$40$	1.28293	−	0.932102i	0.202849	−	0.147378i
$41$	−2.31308	+	7.11893i	−0.361242	+	1.11179i	0.591059	+	0.806629i	$0.298710\pi$
$41$	−2.31308	+	7.11893i	−0.361242	+	1.11179i	−0.952301	+	0.305161i	$0.901290\pi$
$42$	0.0574951	+	0.0417726i	0.00887168	+	0.00644565i
$43$	−3.36813	+	10.3660i	−0.513635	+	1.58081i	0.272117	+	0.962264i	$0.412276\pi$
$43$	−3.36813	+	10.3660i	−0.513635	+	1.58081i	−0.785752	+	0.618542i	$0.787724\pi$
$44$	−1.83214	−	5.63875i	−0.276206	−	0.850073i
$45$	2.28825	−	1.66251i	0.341112	−	0.247832i
$46$	−0.511996	−	1.57576i	−0.0754897	−	0.232333i
$47$	2.98413	+	9.18421i	0.435280	+	1.33966i	0.892799	+	0.450455i	$0.148738\pi$
$47$	2.98413	+	9.18421i	0.435280	+	1.33966i	−0.457519	+	0.889200i	$0.651262\pi$
$48$	−1.00532	+	0.730406i	−0.145105	+	0.105425i
$49$	−2.11010	−	6.49422i	−0.301443	−	0.927746i
$50$	−0.511996	+	1.57576i	−0.0724072	+	0.222846i
$51$	1.95314	+	1.41904i	0.273494	+	0.198705i
$52$	2.16312	−	6.65740i	0.299971	−	0.923215i
$53$	−4.71530	+	3.42586i	−0.647696	+	0.470579i	−0.862485	−	0.506082i	$-0.831093\pi$
$53$	−4.71530	+	3.42586i	−0.647696	+	0.470579i	0.214790	+	0.976660i	$0.431093\pi$
$54$	0.809017	−	0.587785i	0.110093	−	0.0799874i
$55$	−2.62335	−	1.90598i	−0.353733	−	0.257002i
$56$	0.656854			0.0877758
$57$	1.82843			0.242181
$58$	2.28825	+	1.66251i	0.300461	+	0.218298i
$59$	1.25803	+	3.87182i	0.163781	+	0.504067i	0.998944	−	0.0459351i	$-0.0146267\pi$
$59$	1.25803	+	3.87182i	0.163781	+	0.504067i	−0.835163	+	0.550003i	$0.814627\pi$
$60$	−0.234037	+	0.720292i	−0.0302140	+	0.0929892i
$61$	−2.82843			−0.362143			−0.181071	−	0.983470i	$-0.557957\pi$
$61$	−2.82843			−0.362143			−0.181071	+	0.983470i	$0.557957\pi$
$62$		0			0
$63$	1.17157			0.147604
$64$	−1.28909	+	3.96740i	−0.161136	+	0.495925i
$65$	−1.18305	−	3.64105i	−0.146739	−	0.451617i
$66$	−0.450096	−	0.327014i	−0.0554030	−	0.0402526i
$67$	3.24264			0.396152			0.198076	−	0.980187i	$-0.436531\pi$
$67$	3.24264			0.396152			0.198076	+	0.980187i	$0.436531\pi$
$68$	10.6569			1.29233
$69$	1.34042	+	0.973874i	0.161368	+	0.117241i
$70$	0.138805	−	0.100848i	0.0165904	−	0.0120536i
$71$	−0.0574951	+	0.0417726i	−0.00682341	+	0.00495750i	−0.591192	−	0.806531i	$-0.701342\pi$
$71$	−0.0574951	+	0.0417726i	−0.00682341	+	0.00495750i	0.584368	+	0.811489i	$0.301342\pi$
$72$	1.38603	−	4.26576i	0.163345	−	0.502724i
$73$	1.47923	+	1.07472i	0.173131	+	0.125787i	0.670976	−	0.741479i	$-0.265875\pi$
$73$	1.47923	+	1.07472i	0.173131	+	0.125787i	−0.497845	+	0.867266i	$0.665875\pi$
$74$	0.127999	−	0.393941i	0.0148796	−	0.0457947i
$75$	−0.511996	−	1.57576i	−0.0591202	−	0.181953i
$76$	6.52963	−	4.74405i	0.749000	−	0.544180i
$77$	−0.415055	−	1.27741i	−0.0472999	−	0.145574i
$78$	−0.202979	−	0.624706i	−0.0229829	−	0.0707340i
$79$	5.46682	−	3.97188i	0.615065	−	0.446871i	−0.236129	−	0.971722i	$-0.575879\pi$
$79$	5.46682	−	3.97188i	0.615065	−	0.446871i	0.851194	+	0.524851i	$0.175879\pi$
$80$	0.927051	+	2.85317i	0.103647	+	0.318994i
$81$	2.31308	−	7.11893i	0.257009	−	0.790992i
$82$	2.50836	+	1.82243i	0.277002	+	0.201254i
$83$	−3.11213	+	9.57815i	−0.341601	+	1.05134i	0.621778	+	0.783194i	$0.286411\pi$
$83$	−3.11213	+	9.57815i	−0.341601	+	1.05134i	−0.963378	+	0.268145i	$0.913589\pi$
$84$	−0.253796	+	0.184393i	−0.0276914	+	0.0201190i
$85$	4.71530	−	3.42586i	0.511446	−	0.371587i
$86$	3.65248	+	2.65369i	0.393857	+	0.286154i
$87$	−2.82843			−0.303239
$88$	−5.14214			−0.548153
$89$	−3.62867	−	2.63638i	−0.384638	−	0.279456i	0.378617	−	0.925554i	$-0.376400\pi$
$89$	−3.62867	−	2.63638i	−0.384638	−	0.279456i	−0.763255	+	0.646098i	$0.776400\pi$
$90$	−0.362036	−	1.11423i	−0.0381619	−	0.117450i
$91$	0.490035	−	1.50817i	0.0513696	−	0.158099i
$92$	7.31371			0.762507
$93$		0			0
$94$	4.00000			0.412568
$95$	1.36407	−	4.19817i	0.139950	−	0.430723i
$96$	0.565015	+	1.73894i	0.0576666	+	0.177480i
$97$	−4.18389	−	3.03977i	−0.424810	−	0.308642i	0.354760	−	0.934957i	$-0.384562\pi$
$97$	−4.18389	−	3.03977i	−0.424810	−	0.308642i	−0.779570	+	0.626315i	$0.784562\pi$
$98$	−2.82843			−0.285714
$99$	−9.17157			−0.921778
$100$	−5.91691	−	4.29889i	−0.591691	−	0.429889i
$101$	6.86474	−	4.98752i	0.683067	−	0.496277i	−0.191307	−	0.981530i	$-0.561273\pi$
$101$	6.86474	−	4.98752i	0.683067	−	0.496277i	0.874374	+	0.485253i	$0.161273\pi$
$102$	0.809017	−	0.587785i	0.0801046	−	0.0581994i
$103$	0.639995	−	1.96970i	0.0630606	−	0.194081i	−0.914563	−	0.404444i	$-0.867465\pi$
$103$	0.639995	−	1.96970i	0.0630606	−	0.194081i	0.977623	+	0.210364i	$0.0674649\pi$
$104$	−4.91160	−	3.56848i	−0.481622	−	0.349919i
$105$	−0.0530189	+	0.163176i	−0.00517412	+	0.0159243i
$106$	0.746033	+	2.29605i	0.0724611	+	0.223012i
$107$	−10.0433	+	7.29689i	−0.970923	+	0.705417i	−0.955662	−	0.294466i	$-0.904858\pi$
$107$	−10.0433	+	7.29689i	−0.970923	+	0.705417i	−0.0152616	+	0.999884i	$0.504858\pi$
$108$	1.36407	+	4.19817i	0.131257	+	0.403969i
$109$	−3.34617	−	10.2984i	−0.320505	−	0.986412i	−0.973429	−	0.228989i	$-0.926458\pi$
$109$	−3.34617	−	10.2984i	−0.320505	−	0.986412i	0.652924	−	0.757423i	$-0.273542\pi$
$110$	−1.08663	+	0.789481i	−0.103606	+	0.0752741i
$111$	0.127999	+	0.393941i	0.0121491	+	0.0373912i
$112$	−0.383997	+	1.18182i	−0.0362843	+	0.111672i
$113$	−13.4757	−	9.79065i	−1.26769	−	0.921027i	−0.268577	−	0.963258i	$-0.586553\pi$
$113$	−13.4757	−	9.79065i	−1.26769	−	0.921027i	−0.999108	+	0.0422310i	$0.986553\pi$
$114$	0.234037	−	0.720292i	0.0219196	−	0.0674615i
$115$	3.23607	−	2.35114i	0.301765	−	0.219245i
$116$	−10.1008	+	7.33866i	−0.937836	+	0.681378i
$117$	−8.76038	−	6.36479i	−0.809898	−	0.588425i
$118$	1.68629			0.155236
$119$	2.41421			0.221311
$120$	0.531406	+	0.386089i	0.0485105	+	0.0352450i
$121$	−0.149960	−	0.461530i	−0.0136327	−	0.0419573i
$122$	−0.362036	+	1.11423i	−0.0327772	+	0.100878i
$123$	−3.10051			−0.279563
$124$		0			0
$125$	−9.00000			−0.804984
$126$	0.149960	−	0.461530i	0.0133595	−	0.0411164i
$127$	2.75010	+	8.46392i	0.244031	+	0.751052i	0.995794	+	0.0916180i	$0.0292039\pi$
$127$	2.75010	+	8.46392i	0.244031	+	0.751052i	−0.751763	+	0.659434i	$0.770796\pi$
$128$	8.54027	+	6.20487i	0.754860	+	0.548438i
$129$	−4.51472			−0.397499
$130$	−1.58579			−0.139083
$131$	10.7135	+	7.78383i	0.936045	+	0.680076i	0.947465	−	0.319858i	$-0.103635\pi$
$131$	10.7135	+	7.78383i	0.936045	+	0.680076i	−0.0114206	+	0.999935i	$0.503635\pi$
$132$	1.98682	−	1.44351i	0.172930	−	0.125641i
$133$	1.47923	−	1.07472i	0.128265	−	0.0931903i
$134$	0.415055	−	1.27741i	0.0358553	−	0.110351i
$135$	1.95314	+	1.41904i	0.168100	+	0.122131i
$136$	2.85613	−	8.79027i	0.244911	−	0.753760i
$137$	2.93111	+	9.02104i	0.250422	+	0.770719i	0.994697	+	0.102846i	$0.0327950\pi$
$137$	2.93111	+	9.02104i	0.250422	+	0.770719i	−0.744275	+	0.667873i	$0.767205\pi$
$138$	0.555221	−	0.403392i	0.0472636	−	0.0343390i
$139$		0			0		0.951057	−	0.309017i	$-0.100000\pi$
$139$		0			0		−0.951057	+	0.309017i	$0.900000\pi$
$140$	0.234037	+	0.720292i	0.0197797	+	0.0608757i
$141$	−3.23607	+	2.35114i	−0.272526	+	0.198002i
$142$	0.00909661	+	0.0279965i	0.000763371	+	0.00234941i
$143$	−3.83620	+	11.8066i	−0.320799	+	0.987319i
$144$	6.86474	+	4.98752i	0.572061	+	0.415627i
$145$	−2.11010	+	6.49422i	−0.175234	+	0.539316i
$146$	0.612717	−	0.445165i	0.0507088	−	0.0368421i
$147$	2.28825	−	1.66251i	0.188731	−	0.137121i
$148$	1.47923	+	1.07472i	0.121592	+	0.0883416i
$149$	1.00000			0.0819232			0.0409616	−	0.999161i	$-0.486958\pi$
$149$	1.00000			0.0819232			0.0409616	+	0.999161i	$0.486958\pi$
$150$	−0.686292			−0.0560355
$151$	−4.29888	−	3.12332i	−0.349838	−	0.254172i	0.398963	−	0.916967i	$-0.369370\pi$
$151$	−4.29888	−	3.12332i	−0.349838	−	0.254172i	−0.748801	+	0.662795i	$0.769370\pi$
$152$	−2.16312	−	6.65740i	−0.175452	−	0.539986i
$153$	5.09423	−	15.6784i	0.411844	−	1.26753i
$154$	−0.556349			−0.0448319
$155$		0			0
$156$	2.89949			0.232145
$157$	2.83417	−	8.72268i	0.226192	−	0.696146i	−0.771977	−	0.635651i	$-0.780732\pi$
$157$	2.83417	−	8.72268i	0.226192	−	0.696146i	0.998168	−	0.0604954i	$-0.0192681\pi$
$158$	−0.864935	−	2.66200i	−0.0688106	−	0.211777i
$159$	−1.95314	−	1.41904i	−0.154894	−	0.112537i
$160$	4.41421			0.348974
$161$	1.65685			0.130578
$162$	−2.50836	−	1.82243i	−0.197075	−	0.143184i
$163$	−16.9655	+	12.3262i	−1.32884	+	0.965462i	−0.329068	+	0.944306i	$0.606734\pi$
$163$	−16.9655	+	12.3262i	−1.32884	+	0.965462i	−0.999776	+	0.0211551i	$0.993266\pi$
$164$	−11.0724	+	8.04460i	−0.864612	+	0.628178i
$165$	0.415055	−	1.27741i	0.0323120	−	0.0994460i
$166$	3.37487	+	2.45199i	0.261941	+	0.190311i
$167$	6.97030	−	21.4524i	0.539378	−	1.66003i	−0.194618	−	0.980879i	$-0.562347\pi$
$167$	6.97030	−	21.4524i	0.539378	−	1.66003i	0.733995	−	0.679155i	$-0.237653\pi$
$168$	0.0840767	+	0.258761i	0.00648666	+	0.0199639i
$169$	−1.34042	+	0.973874i	−0.103109	+	0.0749134i
$170$	−0.746033	−	2.29605i	−0.0572181	−	0.176099i
$171$	−3.85816	−	11.8742i	−0.295041	−	0.908043i
$172$	−16.1228	+	11.7139i	−1.22936	+	0.893179i
$173$	2.56908	+	7.90681i	0.195323	+	0.601143i	0.999973	+	0.00739307i	$0.00235331\pi$
$173$	2.56908	+	7.90681i	0.195323	+	0.601143i	−0.804649	+	0.593750i	$0.797647\pi$
$174$	−0.362036	+	1.11423i	−0.0274459	+	0.0844697i
$175$	−1.34042	−	0.973874i	−0.101326	−	0.0736180i
$176$	3.00609	−	9.25180i	0.226593	−	0.697381i
$177$	−1.36424	+	0.991177i	−0.102542	+	0.0745014i
$178$	−1.50304	+	1.09203i	−0.112658	+	0.0818508i
$179$	12.3316	+	8.95940i	0.921704	+	0.669657i	0.943947	−	0.330096i	$-0.107081\pi$
$179$	12.3316	+	8.95940i	0.921704	+	0.669657i	−0.0222438	+	0.999753i	$0.507081\pi$
$180$	5.17157			0.385466
$181$	12.3137			0.915271			0.457635	−	0.889140i	$-0.348697\pi$
$181$	12.3137			0.915271			0.457635	+	0.889140i	$0.348697\pi$
$182$	−0.531406	−	0.386089i	−0.0393905	−	0.0286188i
$183$	−0.362036	−	1.11423i	−0.0267625	−	0.0823664i
$184$	1.96014	−	6.03269i	0.144503	−	0.444736i
$185$	1.00000			0.0735215
$186$		0			0
$187$	−18.8995			−1.38207
$188$	−5.45627	+	16.7927i	−0.397939	+	1.22473i
$189$	0.309017	+	0.951057i	0.0224777	+	0.0691792i
$190$	−1.47923	−	1.07472i	−0.107315	−	0.0779686i
$191$	−20.8995			−1.51223			−0.756117	−	0.654436i	$-0.772906\pi$
$191$	−20.8995			−1.51223			−0.756117	+	0.654436i	$0.772906\pi$
$192$	−1.72792			−0.124702
$193$	−5.77811	−	4.19804i	−0.415917	−	0.302182i	0.360076	−	0.932923i	$-0.382751\pi$
$193$	−5.77811	−	4.19804i	−0.415917	−	0.302182i	−0.775993	+	0.630741i	$0.782751\pi$
$194$	−1.73302	+	1.25912i	−0.124424	+	0.0903992i
$195$	1.28293	−	0.932102i	0.0918724	−	0.0667492i
$196$	3.85816	−	11.8742i	0.275583	−	0.848158i
$197$	10.9098	+	7.92645i	0.777293	+	0.564736i	0.904165	−	0.427183i	$-0.140494\pi$
$197$	10.9098	+	7.92645i	0.777293	+	0.564736i	−0.126873	+	0.991919i	$0.540494\pi$
$198$	−1.17395	+	3.61305i	−0.0834292	+	0.256769i
$199$	5.69030	+	17.5130i	0.403375	+	1.24146i	0.922244	+	0.386607i	$0.126353\pi$
$199$	5.69030	+	17.5130i	0.403375	+	1.24146i	−0.518869	+	0.854853i	$0.673647\pi$
$200$	−5.13171	+	3.72841i	−0.362867	+	0.263638i
$201$	0.415055	+	1.27741i	0.0292757	+	0.0901014i
$202$	−1.08611	−	3.34270i	−0.0764183	−	0.235191i
$203$	−2.28825	+	1.66251i	−0.160603	+	0.116685i
$204$	1.36407	+	4.19817i	0.0955038	+	0.293930i
$205$	−2.31308	+	7.11893i	−0.161552	+	0.497207i
$206$	−0.694027	−	0.504240i	−0.0483551	−	0.0351321i
$207$	3.49613	−	10.7600i	0.242998	−	0.747870i
$208$	9.29179	−	6.75088i	0.644270	−	0.468089i
$209$	−11.5800	+	8.41339i	−0.801008	+	0.581966i
$210$	0.0574951	+	0.0417726i	0.00396754	+	0.00288258i
$211$	10.4142			0.716944			0.358472	−	0.933540i	$-0.383298\pi$
$211$	10.4142			0.716944			0.358472	+	0.933540i	$0.383298\pi$
$212$	−10.6569			−0.731916
$213$	−0.0238152	−	0.0173028i	−0.00163179	−	0.00118557i
$214$	1.58901	+	4.89046i	0.108622	+	0.334305i
$215$	−3.36813	+	10.3660i	−0.229705	+	0.706958i
$216$	3.82843			0.260491
$217$		0			0
$218$	−4.48528			−0.303782
$219$	−0.234037	+	0.720292i	−0.0158147	+	0.0486728i
$220$	−1.83214	−	5.63875i	−0.123523	−	0.380164i
$221$	−18.0522	−	13.1157i	−1.21432	−	0.882255i
$222$	0.171573			0.0115152
$223$	−23.7279			−1.58894			−0.794470	−	0.607304i	$-0.792251\pi$
$223$	−23.7279			−1.58894			−0.794470	+	0.607304i	$0.792251\pi$
$224$	1.47923	+	1.07472i	0.0988351	+	0.0718079i
$225$	−9.15298	+	6.65003i	−0.610199	+	0.443335i
$226$	−5.58181	+	4.05542i	−0.371296	+	0.269763i
$227$	−5.69030	+	17.5130i	−0.377679	+	1.16238i	0.563975	+	0.825792i	$0.309272\pi$
$227$	−5.69030	+	17.5130i	−0.377679	+	1.16238i	−0.941654	+	0.336584i	$0.890728\pi$
$228$	2.70466	+	1.96505i	0.179121	+	0.130139i
$229$	−1.69505	+	5.21681i	−0.112012	+	0.344737i	−0.991312	−	0.131531i	$-0.958011\pi$
$229$	−1.69505	+	5.21681i	−0.112012	+	0.344737i	0.879300	+	0.476268i	$0.158011\pi$
$230$	−0.511996	−	1.57576i	−0.0337600	−	0.103903i
$231$	0.450096	−	0.327014i	0.0296141	−	0.0215159i
$232$	3.34617	+	10.2984i	0.219687	+	0.676126i
$233$	−2.83417	−	8.72268i	−0.185673	−	0.571442i	0.814287	−	0.580463i	$-0.197128\pi$
$233$	−2.83417	−	8.72268i	−0.185673	−	0.571442i	−0.999959	+	0.00902109i	$0.997128\pi$
$234$	−3.62867	+	2.63638i	−0.237214	+	0.172346i
$235$	2.98413	+	9.18421i	0.194663	+	0.599112i
$236$	−2.30021	+	7.07933i	−0.149731	+	0.460825i
$237$	2.26443	+	1.64520i	0.147091	+	0.106868i
$238$	0.309017	−	0.951057i	0.0200306	−	0.0616478i
$239$	17.1857	−	12.4861i	1.11165	−	0.807659i	0.128725	−	0.991680i	$-0.458911\pi$
$239$	17.1857	−	12.4861i	1.11165	−	0.807659i	0.982922	+	0.184021i	$0.0589114\pi$
$240$	−1.00532	+	0.730406i	−0.0648930	+	0.0471475i
$241$	−10.7948	−	7.84290i	−0.695356	−	0.505206i	0.183060	−	0.983102i	$-0.441400\pi$
$241$	−10.7948	−	7.84290i	−0.695356	−	0.505206i	−0.878417	+	0.477896i	$0.841400\pi$
$242$	−0.201010			−0.0129214
$243$	10.3431			0.663513
$244$	−4.18389	−	3.03977i	−0.267846	−	0.194602i
$245$	−2.11010	−	6.49422i	−0.134809	−	0.414901i
$246$	−0.396862	+	1.22141i	−0.0253030	+	0.0778745i
$247$	−16.8995			−1.07529
$248$		0			0
$249$	−4.17157			−0.264363
$250$	−1.15199	+	3.54546i	−0.0728583	+	0.224235i
$251$	1.98210	+	6.10028i	0.125109	+	0.385046i	0.993921	−	0.110096i	$-0.0351159\pi$
$251$	1.98210	+	6.10028i	0.125109	+	0.385046i	−0.868812	+	0.495142i	$0.835116\pi$
$252$	1.73302	+	1.25912i	0.109170	+	0.0793168i
$253$	−12.9706			−0.815452
$254$	3.68629			0.231299
$255$	1.95314	+	1.41904i	0.122310	+	0.0888637i
$256$	−3.21225	+	2.33384i	−0.200766	+	0.145865i
$257$	−18.0522	+	13.1157i	−1.12606	+	0.818133i	−0.985117	−	0.171884i	$-0.945014\pi$
$257$	−18.0522	+	13.1157i	−1.12606	+	0.818133i	−0.140946	+	0.990017i	$0.545014\pi$
$258$	−0.577880	+	1.77853i	−0.0359772	+	0.110726i
$259$	0.335106	+	0.243469i	0.0208225	+	0.0151284i
$260$	2.16312	−	6.65740i	0.134151	−	0.412874i
$261$	5.96826	+	18.3684i	0.369426	+	1.13698i
$262$	4.43769	−	3.22417i	0.274161	−	0.199190i
$263$	−7.20433	−	22.1727i	−0.444238	−	1.36722i	−0.883317	−	0.468776i	$-0.844695\pi$
$263$	−7.20433	−	22.1727i	−0.444238	−	1.36722i	0.439079	−	0.898448i	$-0.355305\pi$
$264$	−0.658188	−	2.02570i	−0.0405087	−	0.124673i
$265$	−4.71530	+	3.42586i	−0.289658	+	0.210449i
$266$	−0.234037	−	0.720292i	−0.0143497	−	0.0441639i
$267$	0.574112	−	1.76693i	0.0351351	−	0.108135i
$268$	4.79661	+	3.48494i	0.292999	+	0.212877i
$269$	−8.08746	+	24.8906i	−0.493101	+	1.51761i	0.326794	+	0.945096i	$0.394032\pi$
$269$	−8.08746	+	24.8906i	−0.493101	+	1.51761i	−0.819895	+	0.572514i	$0.805968\pi$
$270$	0.809017	−	0.587785i	0.0492352	−	0.0357715i
$271$	0.555221	−	0.403392i	0.0337273	−	0.0245043i	−0.570794	−	0.821093i	$-0.693364\pi$
$271$	0.555221	−	0.403392i	0.0337273	−	0.0245043i	0.604521	+	0.796589i	$0.293364\pi$
$272$	14.1459	+	10.2776i	0.857721	+	0.623170i
$273$	0.656854			0.0397546
$274$	3.92893			0.237355
$275$	10.4934	+	7.62391i	0.632776	+	0.459739i
$276$	0.936148	+	2.88117i	0.0563495	+	0.173426i
$277$	4.37016	−	13.4500i	0.262577	−	0.808130i	−0.729664	−	0.683806i	$-0.760324\pi$
$277$	4.37016	−	13.4500i	0.262577	−	0.808130i	0.992242	−	0.124325i	$-0.0396764\pi$
$278$		0			0
$279$		0			0
$280$	0.656854			0.0392545
$281$	0.618034	−	1.90211i	0.0368688	−	0.113471i	−0.930928	−	0.365202i	$-0.881000\pi$
$281$	0.618034	−	1.90211i	0.0368688	−	0.113471i	0.967797	+	0.251731i	$0.0809999\pi$
$282$	0.511996	+	1.57576i	0.0304889	+	0.0938353i
$283$	11.0486	+	8.02730i	0.656773	+	0.477173i	0.865572	−	0.500785i	$-0.166955\pi$
$283$	11.0486	+	8.02730i	0.656773	+	0.477173i	−0.208799	+	0.977959i	$0.566955\pi$
$284$	−0.129942			−0.00771066
$285$	1.82843			0.108307
$286$	4.16008	+	3.02247i	0.245990	+	0.178722i
$287$	−2.50836	+	1.82243i	−0.148064	+	0.107575i
$288$	10.1008	−	7.33866i	0.595196	−	0.432435i
$289$	5.24419	−	16.1400i	0.308482	−	0.949410i
$290$	2.28825	+	1.66251i	0.134370	+	0.0976258i
$291$	0.661956	−	2.03729i	0.0388046	−	0.119428i
$292$	1.03309	+	3.17952i	0.0604570	+	0.186067i
$293$	−11.9726	+	8.69863i	−0.699449	+	0.508179i	−0.879753	−	0.475432i	$-0.842292\pi$
$293$	−11.9726	+	8.69863i	−0.699449	+	0.508179i	0.180304	+	0.983611i	$0.442292\pi$
$294$	−0.362036	−	1.11423i	−0.0211144	−	0.0649833i
$295$	1.25803	+	3.87182i	0.0732453	+	0.225426i
$296$	1.28293	−	0.932102i	0.0745687	−	0.0541773i
$297$	−2.41912	−	7.44528i	−0.140371	−	0.432019i
$298$	0.127999	−	0.393941i	0.00741478	−	0.0228204i
$299$	−12.3891	−	9.00117i	−0.716477	−	0.520551i
$300$	0.936148	−	2.88117i	0.0540485	−	0.166344i
$301$	−3.65248	+	2.65369i	−0.210526	+	0.152956i
$302$	−1.78065	+	1.29372i	−0.102465	+	0.0744453i
$303$	2.84347	+	2.06590i	0.163353	+	0.118683i
$304$	13.2426			0.759518
$305$	−2.82843			−0.161955
$306$	−5.52431	−	4.01365i	−0.315804	−	0.229445i
$307$	−3.47417	−	10.6924i	−0.198281	−	0.610247i	−0.999923	−	0.0124416i	$-0.996040\pi$
$307$	−3.47417	−	10.6924i	−0.198281	−	0.610247i	0.801641	−	0.597805i	$-0.203960\pi$
$308$	0.758898	−	2.33565i	0.0432422	−	0.133086i
$309$	0.857864			0.0488022
$310$		0			0
$311$	11.3137			0.641542			0.320771	−	0.947157i	$-0.396058\pi$
$311$	11.3137			0.641542			0.320771	+	0.947157i	$0.396058\pi$
$312$	0.777091	−	2.39164i	0.0439941	−	0.135400i
$313$	−0.565015	−	1.73894i	−0.0319365	−	0.0982906i	0.933818	−	0.357749i	$-0.116456\pi$
$313$	−0.565015	−	1.73894i	−0.0319365	−	0.0982906i	−0.965754	+	0.259459i	$0.916456\pi$
$314$	−3.07345	−	2.23299i	−0.173445	−	0.126015i
$315$	1.17157			0.0660107
$316$	12.3553			0.695042
$317$	6.33333	+	4.60143i	0.355715	+	0.258442i	0.751263	−	0.660003i	$-0.229445\pi$
$317$	6.33333	+	4.60143i	0.355715	+	0.258442i	−0.395547	+	0.918446i	$0.629445\pi$
$318$	−0.809017	+	0.587785i	−0.0453674	+	0.0329614i
$319$	17.9134	−	13.0148i	1.00296	−	0.728690i
$320$	−1.28909	+	3.96740i	−0.0720621	+	0.221784i
$321$	−4.16008	−	3.02247i	−0.232193	−	0.168698i
$322$	0.212076	−	0.652702i	0.0118185	−	0.0363737i
$323$	−7.95037	−	24.4687i	−0.442370	−	1.36148i
$324$	11.0724	−	8.04460i	0.615136	−	0.446922i
$325$	4.73220	+	14.5642i	0.262495	+	0.807877i
$326$	2.68421	+	8.26115i	0.148665	+	0.457543i
$327$	3.62867	−	2.63638i	0.200666	−	0.145792i
$328$	3.66805	+	11.2891i	0.202534	+	0.623336i
$329$	−1.23607	+	3.80423i	−0.0681466	+	0.209734i
$330$	−0.450096	−	0.327014i	−0.0247770	−	0.0180015i
$331$	2.85613	−	8.79027i	0.156987	−	0.483157i	−0.841370	−	0.540460i	$-0.818250\pi$
$331$	2.85613	−	8.79027i	0.156987	−	0.483157i	0.998357	+	0.0573031i	$0.0182501\pi$
$332$	−14.8974	+	10.8236i	−0.817602	+	0.594022i
$333$	2.28825	−	1.66251i	0.125395	−	0.0911049i
$334$	−7.55876	−	5.49176i	−0.413597	−	0.300496i
$335$	3.24264			0.177164
$336$	−0.514719			−0.0280802
$337$	−7.53495	−	5.47446i	−0.410455	−	0.298213i	0.363331	−	0.931660i	$-0.381639\pi$
$337$	−7.53495	−	5.47446i	−0.410455	−	0.298213i	−0.773786	+	0.633447i	$0.781639\pi$
$338$	0.212076	+	0.652702i	0.0115354	+	0.0355023i
$339$	2.13206	−	6.56181i	0.115798	−	0.356389i
$340$	10.6569			0.577949
$341$		0			0
$342$	−5.17157			−0.279647
$343$	1.77003	−	5.44758i	0.0955724	−	0.294142i
$344$	5.34113	+	16.4383i	0.287975	+	0.886295i
$345$	1.34042	+	0.973874i	0.0721660	+	0.0524316i
$346$	3.44365			0.185132
$347$	−8.55635			−0.459329			−0.229664	−	0.973270i	$-0.573763\pi$
$347$	−8.55635			−0.459329			−0.229664	+	0.973270i	$0.573763\pi$
$348$	−4.18389	−	3.03977i	−0.224280	−	0.162949i
$349$	21.9346	−	15.9364i	1.17413	−	0.853058i	0.182636	−	0.983181i	$-0.441537\pi$
$349$	21.9346	−	15.9364i	1.17413	−	0.853058i	0.991498	+	0.130122i	$0.0415370\pi$
$350$	−0.555221	+	0.403392i	−0.0296778	+	0.0215622i
$351$	2.85613	−	8.79027i	0.152449	−	0.469190i
$352$	−11.5800	−	8.41339i	−0.617218	−	0.448435i
$353$	0.927051	−	2.85317i	0.0493419	−	0.151859i	−0.923350	−	0.383960i	$-0.874560\pi$
$353$	0.927051	−	2.85317i	0.0493419	−	0.151859i	0.972692	+	0.232101i	$0.0745600\pi$
$354$	0.215844	+	0.664299i	0.0114720	+	0.0353071i
$355$	−0.0574951	+	0.0417726i	−0.00305152	+	0.00221706i
$356$	−2.53425	−	7.79962i	−0.134315	−	0.413379i
$357$	0.309017	+	0.951057i	0.0163549	+	0.0503352i
$358$	5.10790	−	3.71110i	0.269961	−	0.196138i
$359$	2.19418	+	6.75298i	0.115804	+	0.356409i	0.992114	−	0.125339i	$-0.0400020\pi$
$359$	2.19418	+	6.75298i	0.115804	+	0.356409i	−0.876310	+	0.481748i	$0.840002\pi$
$360$	1.38603	−	4.26576i	0.0730501	−	0.224825i
$361$	−0.392601	−	0.285241i	−0.0206632	−	0.0150127i
$362$	1.57614	−	4.85087i	0.0828402	−	0.254956i
$363$	0.162621	−	0.118151i	0.00853537	−	0.00620131i
$364$	2.34574	−	1.70428i	0.122950	−	0.0893286i
$365$	1.47923	+	1.07472i	0.0774264	+	0.0562535i
$366$	−0.485281			−0.0253661
$367$	−24.2132			−1.26392			−0.631959	−	0.775001i	$-0.717749\pi$
$367$	−24.2132			−1.26392			−0.631959	+	0.775001i	$0.717749\pi$
$368$	9.70820	+	7.05342i	0.506075	+	0.367685i
$369$	6.54238	+	20.1354i	0.340582	+	1.04821i
$370$	0.127999	−	0.393941i	0.00665435	−	0.0204800i
$371$	−2.41421			−0.125340
$372$		0			0
$373$	10.0000			0.517780			0.258890	−	0.965907i	$-0.416643\pi$
$373$	10.0000			0.517780			0.258890	+	0.965907i	$0.416643\pi$
$374$	−2.41912	+	7.44528i	−0.125090	+	0.384986i
$375$	−1.15199	−	3.54546i	−0.0594886	−	0.183087i
$376$	12.3891	+	9.00117i	0.638916	+	0.464200i
$377$	26.1421			1.34639
$378$	0.414214			0.0213048
$379$	−5.97441	−	4.34066i	−0.306885	−	0.222965i	0.423674	−	0.905815i	$-0.360740\pi$
$379$	−5.97441	−	4.34066i	−0.306885	−	0.222965i	−0.730559	+	0.682850i	$0.760740\pi$
$380$	6.52963	−	4.74405i	0.334963	−	0.243365i
$381$	−2.98227	+	2.16675i	−0.152786	+	0.111006i
$382$	−2.67512	+	8.23316i	−0.136871	+	0.421245i
$383$	−4.12640	−	2.99800i	−0.210849	−	0.153191i	0.477349	−	0.878714i	$-0.341598\pi$
$383$	−4.12640	−	2.99800i	−0.210849	−	0.153191i	−0.688198	+	0.725523i	$0.741598\pi$
$384$	−1.35120	+	4.15857i	−0.0689533	+	0.212216i
$385$	−0.415055	−	1.27741i	−0.0211532	−	0.0651027i
$386$	−2.39337	+	1.73889i	−0.121819	+	0.0885070i
$387$	9.52651	+	29.3196i	0.484260	+	1.49040i
$388$	−2.92202	−	8.99304i	−0.148343	−	0.456553i
$389$	9.01418	−	6.54918i	0.457037	−	0.332057i	−0.335331	−	0.942100i	$-0.608848\pi$
$389$	9.01418	−	6.54918i	0.457037	−	0.332057i	0.792368	+	0.610044i	$0.208848\pi$
$390$	−0.202979	−	0.624706i	−0.0102782	−	0.0316332i
$391$	7.20433	−	22.1727i	0.364339	−	1.12132i
$392$	−8.76038	−	6.36479i	−0.442466	−	0.321470i
$393$	−1.69505	+	5.21681i	−0.0855037	+	0.263153i
$394$	4.51900	−	3.28324i	0.227664	−	0.165407i
$395$	5.46682	−	3.97188i	0.275065	−	0.199847i
$396$	−13.5669	−	9.85690i	−0.681760	−	0.495328i
$397$	−33.4853			−1.68058			−0.840289	−	0.542139i	$-0.817615\pi$
$397$	−33.4853			−1.68058			−0.840289	+	0.542139i	$0.817615\pi$
$398$	7.62742			0.382328
$399$	0.612717	+	0.445165i	0.0306742	+	0.0222861i
$400$	−3.70820	−	11.4127i	−0.185410	−	0.570634i
$401$	−8.29044	+	25.5154i	−0.414005	+	1.27418i	0.499133	+	0.866525i	$0.333652\pi$
$401$	−8.29044	+	25.5154i	−0.414005	+	1.27418i	−0.913138	+	0.407651i	$0.866348\pi$
$402$	0.556349			0.0277482
$403$		0			0
$404$	15.5147			0.771886
$405$	2.31308	−	7.11893i	0.114938	−	0.353742i
$406$	0.362036	+	1.11423i	0.0179675	+	0.0552984i
$407$	−2.62335	−	1.90598i	−0.130035	−	0.0944757i
$408$	3.82843			0.189535
$409$	20.6569			1.02142			0.510708	−	0.859754i	$-0.329383\pi$
$409$	20.6569			1.02142			0.510708	+	0.859754i	$0.329383\pi$
$410$	2.50836	+	1.82243i	0.123879	+	0.0900035i
$411$	−3.17857	+	2.30937i	−0.156787	+	0.113913i
$412$	3.06358	−	2.22582i	0.150932	−	0.109658i
$413$	−0.521093	+	1.60376i	−0.0256413	+	0.0789158i
$414$	−3.79129	−	2.75453i	−0.186332	−	0.135378i
$415$	−3.11213	+	9.57815i	−0.152769	+	0.470173i
$416$	−5.22223	−	16.0724i	−0.256041	−	0.788013i
$417$		0			0
$418$	1.83214	+	5.63875i	0.0896129	+	0.275800i
$419$	8.65248	+	26.6296i	0.422701	+	1.30094i	0.905178	+	0.425032i	$0.139737\pi$
$419$	8.65248	+	26.6296i	0.422701	+	1.30094i	−0.482477	+	0.875908i	$0.660263\pi$
$420$	−0.253796	+	0.184393i	−0.0123840	+	0.00899747i
$421$	−9.62345	−	29.6179i	−0.469018	−	1.44349i	−0.853858	−	0.520506i	$-0.825743\pi$
$421$	−9.62345	−	29.6179i	−0.469018	−	1.44349i	0.384840	−	0.922983i	$-0.374257\pi$
$422$	1.33301	−	4.10258i	0.0648899	−	0.199710i
$423$	22.0973	+	16.0546i	1.07441	+	0.780601i
$424$	−2.85613	+	8.79027i	−0.138706	+	0.426893i
$425$	−18.8612	+	13.7035i	−0.914902	+	0.664715i
$426$	−0.00986459	+	0.00716705i	−0.000477941	+	0.000347245i
$427$	−0.947822	−	0.688633i	−0.0458683	−	0.0333253i
$428$	−22.6985			−1.09717
$429$	−5.14214			−0.248265
$430$	3.65248	+	2.65369i	0.176138	+	0.127972i
$431$	−5.17831	−	15.9372i	−0.249430	−	0.767668i	−0.994876	−	0.101101i	$-0.967763\pi$
$431$	−5.17831	−	15.9372i	−0.249430	−	0.767668i	0.745446	−	0.666566i	$-0.232237\pi$
$432$	−2.23810	+	6.88816i	−0.107681	+	0.331407i
$433$	27.1127			1.30295			0.651477	−	0.758669i	$-0.274150\pi$
$433$	27.1127			1.30295			0.651477	+	0.758669i	$0.274150\pi$
$434$		0			0
$435$	−2.82843			−0.135613
$436$	6.11822	−	18.8300i	0.293010	−	0.901791i
$437$	−5.45627	−	16.7927i	−0.261009	−	0.803302i
$438$	0.253796	+	0.184393i	0.0121268	+	0.00881065i
$439$	2.07107			0.0988467			0.0494233	−	0.998778i	$-0.484262\pi$
$439$	2.07107			0.0988467			0.0494233	+	0.998778i	$0.484262\pi$
$440$	−5.14214			−0.245142
$441$	−15.6251	−	11.3523i	−0.744053	−	0.540586i
$442$	−7.47745	+	5.43269i	−0.355666	+	0.258407i
$443$	3.84878	−	2.79631i	0.182861	−	0.132856i	−0.492589	−	0.870262i	$-0.663949\pi$
$443$	3.84878	−	2.79631i	0.182861	−	0.132856i	0.675450	+	0.737406i	$0.263949\pi$
$444$	−0.234037	+	0.720292i	−0.0111069	+	0.0341835i
$445$	−3.62867	−	2.63638i	−0.172015	−	0.124977i
$446$	−3.03715	+	9.34739i	−0.143813	+	0.442612i
$447$	0.127999	+	0.393941i	0.00605415	+	0.0186327i
$448$	−1.39792	+	1.01565i	−0.0660454	+	0.0479848i
$449$	−12.5546	−	38.6390i	−0.592486	−	1.82349i	−0.566860	−	0.823814i	$-0.691842\pi$
$449$	−12.5546	−	38.6390i	−0.592486	−	1.82349i	−0.0256264	−	0.999672i	$-0.508158\pi$
$450$	1.44814	+	4.45693i	0.0682661	+	0.210102i
$451$	19.6365	−	14.2668i	0.924648	−	0.671796i
$452$	−9.41137	−	28.9652i	−0.442674	−	1.36241i
$453$	0.680150	−	2.09329i	0.0319562	−	0.0983511i
$454$	6.17071	+	4.48328i	0.289606	+	0.210411i
$455$	0.490035	−	1.50817i	0.0229732	−	0.0707042i
$456$	2.34574	−	1.70428i	0.109849	−	0.0798102i
$457$	25.1707	−	18.2876i	1.17744	−	0.855457i	0.185556	−	0.982634i	$-0.440591\pi$
$457$	25.1707	−	18.2876i	1.17744	−	0.855457i	0.991880	+	0.127177i	$0.0405915\pi$
$458$	1.83815	+	1.33549i	0.0858911	+	0.0624035i
$459$	14.0711			0.656781
$460$	7.31371			0.341003
$461$	1.73302	+	1.25912i	0.0807150	+	0.0586429i	0.627411	−	0.778688i	$-0.284115\pi$
$461$	1.73302	+	1.25912i	0.0807150	+	0.0586429i	−0.546696	+	0.837331i	$0.684115\pi$
$462$	−0.0712122	−	0.219168i	−0.00331309	−	0.0101966i
$463$	−2.77206	+	8.53151i	−0.128828	+	0.396493i	−0.994579	−	0.103982i	$-0.966841\pi$
$463$	−2.77206	+	8.53151i	−0.128828	+	0.396493i	0.865751	+	0.500475i	$0.166841\pi$
$464$	−20.4853			−0.951005
$465$		0			0
$466$	−3.79899			−0.175985
$467$	−2.47214	+	7.60845i	−0.114397	+	0.352077i	−0.991821	−	0.127639i	$-0.959260\pi$
$467$	−2.47214	+	7.60845i	−0.114397	+	0.352077i	0.877424	+	0.479716i	$0.159260\pi$
$468$	−6.11822	−	18.8300i	−0.282815	−	0.870415i
$469$	1.08663	+	0.789481i	0.0501758	+	0.0364549i
$470$	4.00000			0.184506
$471$	3.79899			0.175048
$472$	5.22289	+	3.79465i	0.240403	+	0.174663i
$473$	28.5932	−	20.7742i	1.31472	−	0.955198i
$474$	0.937958	−	0.681466i	0.0430818	−	0.0313008i
$475$	−5.45627	+	16.7927i	−0.250351	+	0.770500i
$476$	3.57117	+	2.59461i	0.163684	+	0.118924i
$477$	−5.09423	+	15.6784i	−0.233249	+	0.717866i
$478$	−2.71904	−	8.36834i	−0.124366	−	0.382759i
$479$	12.7242	−	9.24464i	0.581382	−	0.422398i	−0.257840	−	0.966188i	$-0.583011\pi$
$479$	12.7242	−	9.24464i	0.581382	−	0.422398i	0.839222	+	0.543789i	$0.183011\pi$
$480$	0.565015	+	1.73894i	0.0257893	+	0.0793713i
$481$	−1.18305	−	3.64105i	−0.0539424	−	0.166018i
$482$	−4.47137	+	3.24864i	−0.203665	+	0.147971i
$483$	0.212076	+	0.652702i	0.00964978	+	0.0296990i
$484$	0.274191	−	0.843874i	0.0124632	−	0.0383579i
$485$	−4.18389	−	3.03977i	−0.189981	−	0.138029i
$486$	1.32391	−	4.07458i	0.0600539	−	0.184827i
$487$	−15.6826	+	11.3941i	−0.710647	+	0.516315i	−0.883382	−	0.468653i	$-0.844739\pi$
$487$	−15.6826	+	11.3941i	−0.710647	+	0.516315i	0.172735	+	0.984968i	$0.444739\pi$
$488$	−3.62867	+	2.63638i	−0.164262	+	0.119343i
$489$	−7.02736	−	5.10567i	−0.317788	−	0.230887i
$490$	−2.82843			−0.127775
$491$	1.58579			0.0715655			0.0357828	−	0.999360i	$-0.488608\pi$
$491$	1.58579			0.0715655			0.0357828	+	0.999360i	$0.488608\pi$
$492$	−4.58636	−	3.33218i	−0.206769	−	0.150226i
$493$	12.2986	+	37.8511i	0.553899	+	1.70473i
$494$	−2.16312	+	6.65740i	−0.0973233	+	0.299530i
$495$	−9.17157			−0.412232
$496$		0			0
$497$	−0.0294373			−0.00132044
$498$	−0.533957	+	1.64335i	−0.0239272	+	0.0736403i
$499$	−0.683917	−	2.10488i	−0.0306164	−	0.0942274i	0.934581	−	0.355751i	$-0.115775\pi$
$499$	−0.683917	−	2.10488i	−0.0306164	−	0.0942274i	−0.965197	+	0.261524i	$0.915775\pi$
$500$	−13.3131	−	9.67250i	−0.595378	−	0.432567i
$501$	9.34315			0.417421
$502$	2.65685			0.118581
$503$	10.8285	+	7.86737i	0.482819	+	0.350789i	0.802416	−	0.596765i	$-0.203547\pi$
$503$	10.8285	+	7.86737i	0.482819	+	0.350789i	−0.319597	+	0.947554i	$0.603547\pi$
$504$	1.50304	−	1.09203i	0.0669509	−	0.0486427i
$505$	6.86474	−	4.98752i	0.305477	−	0.221942i
$506$	−1.66022	+	5.10963i	−0.0738058	+	0.227151i
$507$	−0.555221	−	0.403392i	−0.0246583	−	0.0179153i
$508$	−5.02835	+	15.4757i	−0.223097	+	0.686622i
$509$	−10.1354	−	31.1937i	−0.449246	−	1.38264i	−0.877760	−	0.479101i	$-0.840963\pi$
$509$	−10.1354	−	31.1937i	−0.449246	−	1.38264i	0.428514	−	0.903535i	$-0.359037\pi$
$510$	0.809017	−	0.587785i	0.0358239	−	0.0260276i
$511$	0.234037	+	0.720292i	0.0103532	+	0.0318638i
$512$	7.03241	+	21.6435i	0.310792	+	0.956518i
$513$	8.62158	−	6.26394i	0.380652	−	0.276560i
$514$	2.85613	+	8.79027i	0.125979	+	0.387722i
$515$	0.639995	−	1.96970i	0.0282016	−	0.0867955i
$516$	−6.67830	−	4.85207i	−0.293996	−	0.213600i
$517$	9.67647	−	29.7811i	0.425571	−	1.30977i
$518$	0.138805	−	0.100848i	0.00609876	−	0.00443101i
$519$	−2.78597	+	2.02413i	−0.122291	+	0.0888493i
$520$	−4.91160	−	3.56848i	−0.215388	−	0.156488i
$521$	−20.4558			−0.896187			−0.448093	−	0.893987i	$-0.647897\pi$
$521$	−20.4558			−0.896187			−0.448093	+	0.893987i	$0.647897\pi$
$522$	8.00000			0.350150
$523$	6.47214	+	4.70228i	0.283007	+	0.205616i	0.720228	−	0.693738i	$-0.244037\pi$
$523$	6.47214	+	4.70228i	0.283007	+	0.205616i	−0.437221	+	0.899354i	$0.644037\pi$
$524$	7.48229	+	23.0281i	0.326865	+	1.00599i
$525$	0.212076	−	0.652702i	0.00925574	−	0.0284863i
$526$	−9.65685			−0.421059
$527$		0			0
$528$	4.02944			0.175359
$529$	−2.16312	+	6.65740i	−0.0940487	+	0.289452i
$530$	0.746033	+	2.29605i	0.0324056	+	0.0997342i
$531$	9.31560	+	6.76818i	0.404263	+	0.293714i
$532$	3.34315			0.144944
$533$	28.6569			1.24127
$534$	−0.622581	−	0.452332i	−0.0269417	−	0.0195743i
$535$	−10.0433	+	7.29689i	−0.434210	+	0.315472i
$536$	4.16008	−	3.02247i	0.179688	−	0.130551i
$537$	−1.95104	+	6.00469i	−0.0841937	+	0.259122i
$538$	8.77025	+	6.37196i	0.378112	+	0.274715i
$539$	−6.84230	+	21.0584i	−0.294719	+	0.907050i
$540$	1.36407	+	4.19817i	0.0587001	+	0.180660i
$541$	25.3095	−	18.3884i	1.08814	−	0.790580i	0.109056	−	0.994036i	$-0.465217\pi$
$541$	25.3095	−	18.3884i	1.08814	−	0.790580i	0.979084	+	0.203455i	$0.0652171\pi$
$542$	−0.0878446	−	0.270358i	−0.00377325	−	0.0116129i
$543$	1.57614	+	4.85087i	0.0676388	+	0.208171i
$544$	20.8143	−	15.1225i	0.892407	−	0.648372i
$545$	−3.34617	−	10.2984i	−0.143334	−	0.441137i
$546$	0.0840767	−	0.258761i	0.00359815	−	0.0110740i
$547$	15.9602	+	11.5958i	0.682410	+	0.495800i	0.874156	−	0.485645i	$-0.161415\pi$
$547$	15.9602	+	11.5958i	0.682410	+	0.495800i	−0.191746	+	0.981445i	$0.561415\pi$
$548$	−5.35933	+	16.4943i	−0.228939	+	0.704602i
$549$	−6.47214	+	4.70228i	−0.276224	+	0.200689i
$550$	4.34651	−	3.15793i	0.185336	−	0.134654i
$551$	24.3855	+	17.7171i	1.03886	+	0.754774i
$552$	2.62742			0.111830
$553$	2.79899			0.119025
$554$	−4.73911	−	3.44317i	−0.201346	−	0.146286i
$555$	0.127999	+	0.393941i	0.00543326	+	0.0167218i
$556$		0			0
$557$	27.5147			1.16584			0.582918	−	0.812531i	$-0.301911\pi$
$557$	27.5147			1.16584			0.582918	+	0.812531i	$0.301911\pi$
$558$		0			0
$559$	41.7279			1.76490
$560$	−0.383997	+	1.18182i	−0.0162268	+	0.0499411i
$561$	−2.41912	−	7.44528i	−0.102135	−	0.314340i
$562$	−0.670212	−	0.486937i	−0.0282712	−	0.0205402i
$563$	13.2426			0.558111			0.279055	−	0.960275i	$-0.409979\pi$
$563$	13.2426			0.558111			0.279055	+	0.960275i	$0.409979\pi$
$564$	−7.31371			−0.307963
$565$	−13.4757	−	9.79065i	−0.566926	−	0.411896i
$566$	4.57649	−	3.32502i	0.192364	−	0.139761i
$567$	2.50836	−	1.82243i	0.105341	−	0.0765349i
$568$	−0.0348257	+	0.107183i	−0.00146125	+	0.00449728i
$569$	10.6322	+	7.72475i	0.445725	+	0.323839i	0.787906	−	0.615796i	$-0.211165\pi$
$569$	10.6322	+	7.72475i	0.445725	+	0.323839i	−0.342180	+	0.939634i	$0.611165\pi$
$570$	0.234037	−	0.720292i	0.00980273	−	0.0301697i
$571$	−6.52041	−	20.0678i	−0.272871	−	0.839810i	−0.989775	−	0.142638i	$-0.954441\pi$
$571$	−6.52041	−	20.0678i	−0.272871	−	0.839810i	0.716904	−	0.697172i	$-0.245559\pi$
$572$	−18.3635	+	13.3418i	−0.767815	+	0.557850i
$573$	−2.67512	−	8.23316i	−0.111755	−	0.343945i
$574$	0.396862	+	1.22141i	0.0165647	+	0.0509809i
$575$	−12.9443	+	9.40456i	−0.539813	+	0.392197i
$576$	3.64609	+	11.2215i	0.151920	+	0.467563i
$577$	−0.00909661	+	0.0279965i	−0.000378697	+	0.00116551i	−0.951246	−	0.308434i	$-0.900195\pi$
$577$	−0.00909661	+	0.0279965i	−0.000378697	+	0.00116551i	0.950867	+	0.309600i	$0.100195\pi$
$578$	−5.68693	−	4.13180i	−0.236545	−	0.171860i
$579$	0.914186	−	2.81358i	0.0379923	−	0.116928i
$580$	−10.1008	+	7.33866i	−0.419413	+	0.304721i
$581$	−3.37487	+	2.45199i	−0.140013	+	0.101726i
$582$	−0.717842	−	0.521543i	−0.0297555	−	0.0216186i
$583$	18.8995			0.782737
$584$	2.89949			0.119982
$585$	−8.76038	−	6.36479i	−0.362197	−	0.263152i
$586$	1.89426	+	5.82992i	0.0782510	+	0.240832i
$587$	−9.78251	+	30.1075i	−0.403767	+	1.24267i	0.518153	+	0.855288i	$0.326620\pi$
$587$	−9.78251	+	30.1075i	−0.403767	+	1.24267i	−0.921920	+	0.387380i	$0.873380\pi$
$588$	5.17157			0.213272
$589$		0			0
$590$	1.68629			0.0694235
$591$	−1.72610	+	5.31240i	−0.0710024	+	0.218523i
$592$	0.927051	+	2.85317i	0.0381016	+	0.117265i
$593$	1.06281	+	0.772178i	0.0436445	+	0.0317096i	0.609394	−	0.792868i	$-0.291413\pi$
$593$	1.06281	+	0.772178i	0.0436445	+	0.0317096i	−0.565749	+	0.824577i	$0.691413\pi$
$594$	−3.24264			−0.133047
$595$	2.41421			0.0989731
$596$	1.47923	+	1.07472i	0.0605916	+	0.0440223i
$597$	−6.17071	+	4.48328i	−0.252550	+	0.183489i
$598$	−5.13171	+	3.72841i	−0.209851	+	0.152466i
$599$	4.66631	−	14.3614i	0.190660	−	0.586792i	−0.809339	−	0.587341i	$-0.800175\pi$
$599$	4.66631	−	14.3614i	0.190660	−	0.586792i	1.00000		0.000548856i	$0.000174706\pi$
$600$	−2.12563	−	1.54436i	−0.0867783	−	0.0630481i
$601$	−2.01316	+	6.19587i	−0.0821185	+	0.252735i	−0.983683	−	0.179910i	$-0.942419\pi$
$601$	−2.01316	+	6.19587i	−0.0821185	+	0.252735i	0.901565	+	0.432644i	$0.142419\pi$
$602$	0.577880	+	1.77853i	0.0235526	+	0.0724875i
$603$	7.41996	−	5.39092i	0.302164	−	0.219535i
$604$	−3.00233	−	9.24021i	−0.122163	−	0.375979i
$605$	−0.149960	−	0.461530i	−0.00609675	−	0.0187639i
$606$	1.17780	−	0.855724i	0.0478450	−	0.0347614i
$607$	−0.490035	−	1.50817i	−0.0198899	−	0.0612148i	0.940619	−	0.339464i	$-0.110246\pi$
$607$	−0.490035	−	1.50817i	−0.0198899	−	0.0612148i	−0.960509	+	0.278250i	$0.910246\pi$
$608$	6.02128	−	18.5316i	0.244195	−	0.751556i
$609$	−0.947822	−	0.688633i	−0.0384077	−	0.0279048i
$610$	−0.362036	+	1.11423i	−0.0146584	+	0.0451139i
$611$	29.9098	−	21.7308i	1.21002	−	0.879132i
$612$	24.3855	−	17.7171i	0.985725	−	0.716171i
$613$	−9.96200	−	7.23782i	−0.402361	−	0.292333i	0.368141	−	0.929770i	$-0.379994\pi$
$613$	−9.96200	−	7.23782i	−0.402361	−	0.292333i	−0.770502	+	0.637437i	$0.779994\pi$
$614$	−4.65685			−0.187935
$615$	−3.10051			−0.125024
$616$	−1.72316	−	1.25195i	−0.0694281	−	0.0504424i
$617$	−10.2854	−	31.6552i	−0.414075	−	1.27439i	−0.913076	−	0.407790i	$-0.866300\pi$
$617$	−10.2854	−	31.6552i	−0.414075	−	1.27439i	0.499001	−	0.866601i	$-0.333700\pi$
$618$	0.109806	−	0.337948i	0.00441704	−	0.0135942i
$619$	−20.3431			−0.817660			−0.408830	−	0.912611i	$-0.634063\pi$
$619$	−20.3431			−0.817660			−0.408830	+	0.912611i	$0.634063\pi$
$620$		0			0
$621$	9.65685			0.387516
$622$	1.44814	−	4.45693i	0.0580653	−	0.178707i
$623$	−0.574112	−	1.76693i	−0.0230013	−	0.0707907i
$624$	3.84878	+	2.79631i	0.154075	+	0.111942i
$625$	11.0000			0.440000
$626$	−0.757359			−0.0302702
$627$	−4.79661	−	3.48494i	−0.191558	−	0.139175i
$628$	13.5669	−	9.85690i	0.541376	−	0.393333i
$629$	4.71530	−	3.42586i	0.188011	−	0.136598i
$630$	0.149960	−	0.461530i	0.00597456	−	0.0183878i
$631$	−40.4607	−	29.3964i	−1.61072	−	1.17025i	−0.861199	−	0.508268i	$-0.830286\pi$
$631$	−40.4607	−	29.3964i	−1.61072	−	1.17025i	−0.749516	−	0.661986i	$-0.769714\pi$
$632$	3.31134	−	10.1913i	0.131718	−	0.405387i
$633$	1.33301	+	4.10258i	0.0529824	+	0.163063i
$634$	2.62335	−	1.90598i	0.104187	−	0.0756960i
$635$	2.75010	+	8.46392i	0.109134	+	0.335881i
$636$	−1.36407	−	4.19817i	−0.0540888	−	0.166468i
$637$	−21.1494	+	15.3660i	−0.837971	+	0.608822i
$638$	−2.83417	−	8.72268i	−0.112206	−	0.345334i
$639$	−0.0621155	+	0.191172i	−0.00245725	+	0.00756265i
$640$	8.54027	+	6.20487i	0.337584	+	0.245269i
$641$	−4.31714	+	13.2868i	−0.170517	+	0.524797i	−0.999400	−	0.0346243i	$-0.988977\pi$
$641$	−4.31714	+	13.2868i	−0.170517	+	0.524797i	0.828884	+	0.559421i	$0.188977\pi$
$642$	−1.72316	+	1.25195i	−0.0680077	+	0.0494105i
$643$	−28.5694	+	20.7569i	−1.12667	+	0.818571i	−0.985206	−	0.171373i	$-0.945180\pi$
$643$	−28.5694	+	20.7569i	−1.12667	+	0.818571i	−0.141460	+	0.989944i	$0.545180\pi$
$644$	2.45087	+	1.78066i	0.0965777	+	0.0701678i
$645$	−4.51472			−0.177767
$646$	−10.6569			−0.419288
$647$	36.6596	+	26.6347i	1.44124	+	1.04712i	0.987782	+	0.155839i	$0.0498082\pi$
$647$	36.6596	+	26.6347i	1.44124	+	1.04712i	0.453454	+	0.891280i	$0.350192\pi$
$648$	−3.66805	−	11.2891i	−0.144095	−	0.443478i
$649$	4.07934	−	12.5549i	0.160128	−	0.492823i
$650$	6.34315			0.248799
$651$		0			0
$652$	−38.3431			−1.50163
$653$	−1.89802	+	5.84152i	−0.0742754	+	0.228596i	−0.981301	−	0.192479i	$-0.938347\pi$
$653$	−1.89802	+	5.84152i	−0.0742754	+	0.228596i	0.907026	+	0.421075i	$0.138347\pi$
$654$	−0.574112	−	1.76693i	−0.0224495	−	0.0690926i
$655$	10.7135	+	7.78383i	0.418612	+	0.304139i
$656$	−22.4558			−0.876753
$657$	5.17157			0.201762
$658$	1.34042	+	0.973874i	0.0522551	+	0.0379656i
$659$	1.34042	−	0.973874i	0.0522155	−	0.0379368i	−0.561371	−	0.827564i	$-0.689726\pi$
$659$	1.34042	−	0.973874i	0.0522155	−	0.0379368i	0.613587	+	0.789627i	$0.289726\pi$
$660$	1.98682	−	1.44351i	0.0773368	−	0.0561885i
$661$	1.50116	−	4.62010i	0.0583885	−	0.179701i	−0.917608	−	0.397485i	$-0.869883\pi$
$661$	1.50116	−	4.62010i	0.0583885	−	0.179701i	0.975997	+	0.217784i	$0.0698829\pi$
$662$	−3.09726	−	2.25029i	−0.120379	−	0.0874601i
$663$	2.85613	−	8.79027i	0.110923	−	0.341386i
$664$	4.93518	+	15.1889i	0.191522	+	0.589444i
$665$	1.47923	−	1.07472i	0.0573620	−	0.0416760i
$666$	−0.362036	−	1.11423i	−0.0140286	−	0.0431756i
$667$	8.44040	+	25.9769i	0.326814	+	1.00583i
$668$	33.3660	−	24.2418i	1.29097	−	0.937944i
$669$	−3.03715	−	9.34739i	−0.117423	−	0.361391i
$670$	0.415055	−	1.27741i	0.0160350	−	0.0493506i
$671$	7.41996	+	5.39092i	0.286444	+	0.208114i
$672$	−0.234037	+	0.720292i	−0.00902817	+	0.0277858i
$673$	−7.55876	+	5.49176i	−0.291369	+	0.211692i	−0.723861	−	0.689946i	$-0.757634\pi$
$673$	−7.55876	+	5.49176i	−0.291369	+	0.211692i	0.432492	+	0.901638i	$0.357634\pi$
$674$	−3.12108	+	2.26760i	−0.120219	+	0.0873445i
$675$	−7.81256	−	5.67616i	−0.300706	−	0.218475i
$676$	−3.02944			−0.116517
$677$	−38.5980			−1.48344			−0.741720	−	0.670709i	$-0.765990\pi$
$677$	−38.5980			−1.48344			−0.741720	+	0.670709i	$0.765990\pi$
$678$	−2.31206	−	1.67981i	−0.0887942	−	0.0645127i
$679$	−0.661956	−	2.03729i	−0.0254036	−	0.0781841i
$680$	2.85613	−	8.79027i	0.109528	−	0.337092i
$681$	−7.62742			−0.292283
$682$		0			0
$683$	−1.37258			−0.0525204			−0.0262602	−	0.999655i	$-0.508360\pi$
$683$	−1.37258			−0.0525204			−0.0262602	+	0.999655i	$0.508360\pi$
$684$	7.05437	−	21.7111i	0.269731	−	0.830146i
$685$	2.93111	+	9.02104i	0.111992	+	0.344676i
$686$	−1.91946	−	1.39457i	−0.0732853	−	0.0532449i
$687$	−2.27208			−0.0866852
$688$	−32.6985			−1.24662
$689$	18.0522	+	13.1157i	0.687733	+	0.499667i
$690$	0.555221	−	0.403392i	0.0211369	−	0.0153569i
$691$	0.0574951	−	0.0417726i	0.00218722	−	0.00158911i	−0.586691	−	0.809811i	$-0.699570\pi$
$691$	0.0574951	−	0.0417726i	0.00218722	−	0.00158911i	0.588878	+	0.808222i	$0.299570\pi$
$692$	−4.69737	+	14.4570i	−0.178567	+	0.549573i
$693$	−3.07345	−	2.23299i	−0.116751	−	0.0848243i
$694$	−1.09520	+	3.37069i	−0.0415734	+	0.127950i
$695$		0			0
$696$	−3.62867	+	2.63638i	−0.137544	+	0.0999318i
$697$	13.4816	+	41.4921i	0.510653	+	1.57163i
$698$	−3.47040	−	10.6808i	−0.131357	−	0.404274i
$699$	3.07345	−	2.23299i	0.116248	−	0.0844594i
$700$	−0.936148	−	2.88117i	−0.0353831	−	0.108898i
$701$	−4.16718	+	12.8253i	−0.157392	+	0.484404i	−0.998395	−	0.0566266i	$-0.981966\pi$
$701$	−4.16718	+	12.8253i	−0.157392	+	0.484404i	0.841003	+	0.541030i	$0.181966\pi$
$702$	−3.09726	−	2.25029i	−0.116899	−	0.0849318i
$703$	1.36407	−	4.19817i	0.0514468	−	0.158337i
$704$	10.9435	−	7.95092i	0.412449	−	0.299662i
$705$	−3.23607	+	2.35114i	−0.121877	+	0.0885491i
$706$	−1.00532	−	0.730406i	−0.0378356	−	0.0274892i
$707$	3.51472			0.132185
$708$	−3.08326			−0.115876
$709$	−14.0071	−	10.1767i	−0.526047	−	0.382196i	0.292830	−	0.956165i	$-0.405403\pi$
$709$	−14.0071	−	10.1767i	−0.526047	−	0.382196i	−0.818877	+	0.573969i	$0.805403\pi$
$710$	0.00909661	+	0.0279965i	0.000341390	+	0.00105069i
$711$	5.90615	−	18.1773i	0.221498	−	0.681700i
$712$	−7.11270			−0.266560
$713$		0			0
$714$	0.414214			0.0155016
$715$	−3.83620	+	11.8066i	−0.143466	+	0.441543i
$716$	8.61232	+	26.5060i	0.321858	+	0.990576i
$717$	7.11853	+	5.17192i	0.265846	+	0.193149i
$718$	2.94113			0.109762
$719$	−8.07107			−0.301000			−0.150500	−	0.988610i	$-0.548088\pi$
$719$	−8.07107			−0.301000			−0.150500	+	0.988610i	$0.548088\pi$
$720$	6.86474	+	4.98752i	0.255834	+	0.185874i
$721$	0.694027	−	0.504240i	0.0258469	−	0.0187789i
$722$	−0.162621	+	0.118151i	−0.00605211	+	0.00439712i
$723$	1.70791	−	5.25641i	0.0635178	−	0.195488i
$724$	18.2148	+	13.2338i	0.676947	+	0.491831i
$725$	8.44040	−	25.9769i	0.313469	−	0.964757i
$726$	−0.0257291	−	0.0791860i	−0.000954897	−	0.00293887i
$727$	−33.0408	+	24.0055i	−1.22541	+	0.890315i	−0.996538	−	0.0831403i	$-0.973505\pi$
$727$	−33.0408	+	24.0055i	−1.22541	+	0.890315i	−0.228876	+	0.973456i	$0.573505\pi$
$728$	−0.777091	−	2.39164i	−0.0288009	−	0.0886401i
$729$	−5.61532	−	17.2822i	−0.207975	−	0.640081i
$730$	0.612717	−	0.445165i	0.0226777	−	0.0164763i
$731$	19.6309	+	60.4177i	0.726075	+	2.23463i
$732$	0.661956	−	2.03729i	0.0244666	−	0.0753005i
$733$	−12.6428	−	9.18557i	−0.466974	−	0.339277i	0.329287	−	0.944230i	$-0.393192\pi$
$733$	−12.6428	−	9.18557i	−0.466974	−	0.339277i	−0.796261	+	0.604953i	$0.793192\pi$
$734$	−3.09927	+	9.53856i	−0.114396	+	0.352075i
$735$	2.28825	−	1.66251i	0.0844032	−	0.0613225i
$736$	14.2847	−	10.3784i	0.526541	−	0.382554i
$737$	−8.50659	−	6.18040i	−0.313344	−	0.227658i
$738$	8.76955			0.322812
$739$	45.8701			1.68736			0.843679	−	0.536848i	$-0.180385\pi$
$739$	45.8701			1.68736			0.843679	+	0.536848i	$0.180385\pi$
$740$	1.47923	+	1.07472i	0.0543775	+	0.0395076i
$741$	−2.16312	−	6.65740i	−0.0794642	−	0.244566i
$742$	−0.309017	+	0.951057i	−0.0113444	+	0.0349144i
$743$	5.65685			0.207530			0.103765	−	0.994602i	$-0.466911\pi$
$743$	5.65685			0.207530			0.103765	+	0.994602i	$0.466911\pi$
$744$		0			0
$745$	1.00000			0.0366372
$746$	1.27999	−	3.93941i	0.0468638	−	0.144232i
$747$	8.80244	+	27.0911i	0.322064	+	0.991212i
$748$	−27.9567	−	20.3117i	−1.02220	−	0.742670i
$749$	−5.14214			−0.187890
$750$	−1.54416			−0.0563846
$751$	−5.85942	−	4.25712i	−0.213813	−	0.155344i	0.475724	−	0.879595i	$-0.342186\pi$
$751$	−5.85942	−	4.25712i	−0.213813	−	0.155344i	−0.689537	+	0.724250i	$0.742186\pi$
$752$	−23.4377	+	17.0285i	−0.854684	+	0.620964i
$753$	−2.14944	+	1.56166i	−0.0783300	+	0.0569100i
$754$	3.34617	−	10.2984i	0.121860	−	0.375047i
$755$	−4.29888	−	3.12332i	−0.156452	−	0.113669i
$756$	−0.565015	+	1.73894i	−0.0205494	+	0.0632445i
$757$	7.21343	+	22.2007i	0.262177	+	0.806896i	0.992330	+	0.123614i	$0.0394483\pi$
$757$	7.21343	+	22.2007i	0.262177	+	0.806896i	−0.730154	+	0.683283i	$0.760552\pi$
$758$	−2.47468	+	1.79796i	−0.0898845	+	0.0653049i
$759$	−1.66022	−	5.10963i	−0.0602621	−	0.185468i
$760$	−2.16312	−	6.65740i	−0.0784646	−	0.241489i
$761$	−24.6393	+	17.9015i	−0.893174	+	0.648929i	−0.936704	−	0.350123i	$-0.886140\pi$
$761$	−24.6393	+	17.9015i	−0.893174	+	0.648929i	0.0435298	+	0.999052i	$0.486140\pi$
$762$	0.471842	+	1.45218i	0.0170930	+	0.0526069i
$763$	1.38603	−	4.26576i	0.0501776	−	0.154431i
$764$	−30.9151	−	22.4612i	−1.11847	−	0.812616i
$765$	5.09423	−	15.6784i	0.184182	−	0.566855i
$766$	−1.70921	+	1.24181i	−0.0617562	+	0.0448685i
$767$	12.6092	−	9.16110i	0.455291	−	0.330788i
$768$	−1.33056	−	0.966707i	−0.0480124	−	0.0348831i
$769$	36.1127			1.30226			0.651129	−	0.758967i	$-0.274296\pi$
$769$	36.1127			1.30226			0.651129	+	0.758967i	$0.274296\pi$
$770$	−0.556349			−0.0200494
$771$	−7.47745	−	5.43269i	−0.269294	−	0.195653i
$772$	−4.03541	−	12.4197i	−0.145238	−	0.446996i
$773$	5.56231	−	17.1190i	0.200062	−	0.615728i	−0.799818	−	0.600243i	$-0.795071\pi$
$773$	5.56231	−	17.1190i	0.200062	−	0.615728i	0.999880	−	0.0154855i	$-0.00492938\pi$
$774$	12.7696			0.458992
$775$		0			0
$776$	−8.20101			−0.294399
$777$	−0.0530189	+	0.163176i	−0.00190204	+	0.00585389i
$778$	−1.42618	−	4.38934i	−0.0511311	−	0.157365i
$779$	26.7312	+	19.4214i	0.957746	+	0.695843i
$780$	2.89949			0.103819
$781$	0.230447			0.00824606
$782$	−7.81256	−	5.67616i	−0.279377	−	0.202979i
$783$	−13.3369	+	9.68981i	−0.476621	+	0.346285i
$784$	16.5729	−	12.0409i	0.591891	−	0.430034i
$785$	2.83417	−	8.72268i	0.101156	−	0.311326i
$786$	1.83815	+	1.33549i	0.0655646	+	0.0476355i
$787$	13.1067	−	40.3383i	0.467204	−	1.43791i	−0.388986	−	0.921244i	$-0.627174\pi$
$787$	13.1067	−	40.3383i	0.467204	−	1.43791i	0.856190	−	0.516662i	$-0.172826\pi$
$788$	7.61939	+	23.4501i	0.271429	+	0.835374i
$789$	7.81256	−	5.67616i	0.278134	−	0.202077i
$790$	−0.864935	−	2.66200i	−0.0307730	−	0.0947096i
$791$	−2.13206	−	6.56181i	−0.0758074	−	0.233311i
$792$	−11.7665	+	8.54884i	−0.418103	+	0.303770i
$793$	3.34617	+	10.2984i	0.118826	+	0.365709i
$794$	−4.28608	+	13.1912i	−0.152107	+	0.468138i
$795$	−1.95314	−	1.41904i	−0.0692707	−	0.0503281i
$796$	−10.4043	+	32.0212i	−0.368771	+	1.13496i
$797$	−23.0213	+	16.7259i	−0.815455	+	0.592463i	−0.915407	−	0.402530i	$-0.868131\pi$
$797$	−23.0213	+	16.7259i	−0.815455	+	0.592463i	0.0999521	+	0.994992i	$0.468131\pi$
$798$	0.253796	−	0.184393i	0.00898426	−	0.00652745i
$799$	45.5349	+	33.0831i	1.61091	+	1.17039i
$800$	−17.6569			−0.624264
$801$	−12.6863			−0.448248
$802$	8.99036	+	6.53188i	0.317461	+	0.230649i
$803$	−1.83214	−	5.63875i	−0.0646548	−	0.198987i
$804$	−0.758898	+	2.33565i	−0.0267643	+	0.0823719i
$805$	1.65685			0.0583964
$806$		0			0
$807$	−10.8406			−0.381608
$808$	4.15808	−	12.7973i	0.146281	−	0.450206i
$809$	−3.71730	−	11.4407i	−0.130693	−	0.402233i	0.864202	−	0.503145i	$-0.167824\pi$
$809$	−3.71730	−	11.4407i	−0.130693	−	0.402233i	−0.994895	+	0.100912i	$0.967824\pi$
$810$	−2.50836	−	1.82243i	−0.0881348	−	0.0640337i
$811$	−13.7279			−0.482053			−0.241026	−	0.970519i	$-0.577484\pi$
$811$	−13.7279			−0.482053			−0.241026	+	0.970519i	$0.577484\pi$
$812$	−5.17157			−0.181487
$813$	0.229980	+	0.167090i	0.00806576	+	0.00586012i
$814$	−1.08663	+	0.789481i	−0.0380863	+	0.0276713i
$815$	−16.9655	+	12.3262i	−0.594277	+	0.431768i
$816$	−2.23810	+	6.88816i	−0.0783491	+	0.241134i
$817$	38.9240	+	28.2799i	1.36178	+	0.989390i
$818$	2.64406	−	8.13757i	0.0924473	−	0.284524i
$819$	−1.38603	−	4.26576i	−0.0484317	−	0.149058i
$820$	−11.0724	+	8.04460i	−0.386666	+	0.280930i
$821$	2.62210	+	8.06998i	0.0915118	+	0.281644i	0.986329	−	0.164789i	$-0.0526942\pi$
$821$	2.62210	+	8.06998i	0.0915118	+	0.281644i	−0.894817	+	0.446433i	$0.852694\pi$
$822$	0.502900	+	1.54777i	0.0175406	+	0.0539845i
$823$	−29.2971	+	21.2856i	−1.02123	+	0.741969i	−0.966535	−	0.256534i	$-0.917419\pi$
$823$	−29.2971	+	21.2856i	−1.02123	+	0.741969i	−0.0546974	+	0.998503i	$0.517419\pi$
$824$	−1.01490	−	3.12353i	−0.0353556	−	0.108813i
$825$	−1.66022	+	5.10963i	−0.0578014	+	0.177894i
$826$	0.565086	+	0.410559i	0.0196619	+	0.0142852i
$827$	11.4026	−	35.0935i	0.396506	−	1.22032i	−0.531276	−	0.847199i	$-0.678287\pi$
$827$	11.4026	−	35.0935i	0.396506	−	1.22032i	0.927782	−	0.373122i	$-0.121713\pi$
$828$	16.7356	−	12.1591i	0.581601	−	0.422558i
$829$	−31.0876	+	22.5865i	−1.07972	+	0.784461i	−0.977634	−	0.210315i	$-0.932551\pi$
$829$	−31.0876	+	22.5865i	−1.07972	+	0.784461i	−0.102084	+	0.994776i	$0.532551\pi$
$830$	3.37487	+	2.45199i	0.117144	+	0.0851098i
$831$	5.85786			0.203207
$832$	15.9706			0.553680
$833$	−32.1981	−	23.3933i	−1.11560	−	0.810528i
$834$		0			0
$835$	6.97030	−	21.4524i	0.241217	−	0.742390i
$836$	−26.1716			−0.905163
$837$		0			0
$838$	11.5980			0.400646
$839$	−4.52012	+	13.9115i	−0.156052	+	0.480278i	−0.998266	−	0.0588649i	$-0.981252\pi$
$839$	−4.52012	+	13.9115i	−0.156052	+	0.480278i	0.842214	+	0.539143i	$0.181252\pi$
$840$	0.0840767	+	0.258761i	0.00290092	+	0.00892812i
$841$	−14.2609	−	10.3611i	−0.491754	−	0.357281i
$842$	−12.8995			−0.444546
$843$	0.828427			0.0285325
$844$	15.4050	+	11.1924i	0.530262	+	0.385258i
$845$	−1.34042	+	0.973874i	−0.0461120	+	0.0335023i
$846$	9.15298	−	6.65003i	0.314686	−	0.228633i
$847$	0.0621155	−	0.191172i	0.00213432	−	0.00656875i
$848$	−14.1459	−	10.2776i	−0.485772	−	0.352934i
$849$	−1.74806	+	5.37999i	−0.0599934	+	0.184641i
$850$	2.98413	+	9.18421i	0.102355	+	0.315016i
$851$	3.23607	−	2.35114i	0.110931	−	0.0805961i
$852$	−0.0166325	−	0.0511895i	−0.000569820	−	0.00175372i
$853$	−4.79431	−	14.7554i	−0.164154	−	0.505214i	0.834819	−	0.550525i	$-0.185572\pi$
$853$	−4.79431	−	14.7554i	−0.164154	−	0.505214i	−0.998973	+	0.0453103i	$0.985572\pi$
$854$	−0.392601	+	0.285241i	−0.0134345	+	0.00976075i
$855$	−3.85816	−	11.8742i	−0.131946	−	0.406089i
$856$	−6.08340	+	18.7228i	−0.207926	+	0.639931i
$857$	15.7639	+	11.4532i	0.538485	+	0.391233i	0.823522	−	0.567284i	$-0.192006\pi$
$857$	15.7639	+	11.4532i	0.538485	+	0.391233i	−0.285037	+	0.958517i	$0.592006\pi$
$858$	−0.658188	+	2.02570i	−0.0224702	+	0.0691561i
$859$	39.9531	−	29.0276i	1.36318	−	0.990410i	0.364948	−	0.931028i	$-0.381087\pi$
$859$	39.9531	−	29.0276i	1.36318	−	0.990410i	0.998235	−	0.0593824i	$-0.0189131\pi$
$860$	−16.1228	+	11.7139i	−0.549784	+	0.399442i
$861$	−1.03900	−	0.754876i	−0.0354089	−	0.0257261i
$862$	−6.94113			−0.236416
$863$	−2.61522			−0.0890232			−0.0445116	−	0.999009i	$-0.514173\pi$
$863$	−2.61522			−0.0890232			−0.0445116	+	0.999009i	$0.514173\pi$
$864$	8.62158	+	6.26394i	0.293312	+	0.213104i
$865$	2.56908	+	7.90681i	0.0873512	+	0.268839i
$866$	3.47040	−	10.6808i	0.117929	−	0.362948i
$867$	7.02944			0.238732
$868$		0			0
$869$	−21.9117			−0.743303
$870$	−0.362036	+	1.11423i	−0.0122742	+	0.0377760i
$871$	−3.83620	−	11.8066i	−0.129985	−	0.400052i
$872$	−13.8921	−	10.0932i	−0.470446	−	0.341799i
$873$	−14.6274			−0.495063
$874$	−7.31371			−0.247390
$875$	−3.01595	−	2.19122i	−0.101958	−	0.0740767i
$876$	−1.12031	+	0.813951i	−0.0378517	+	0.0275009i
$877$	−43.5481	+	31.6396i	−1.47052	+	1.06839i	−0.490051	+	0.871694i	$0.663022\pi$
$877$	−43.5481	+	31.6396i	−1.47052	+	1.06839i	−0.980464	+	0.196698i	$0.936978\pi$
$878$	0.265095	−	0.815878i	0.00894651	−	0.0275345i
$879$	−4.95923	−	3.60309i	−0.167271	−	0.121529i
$880$	3.00609	−	9.25180i	0.101335	−	0.311878i
$881$	3.61126	+	11.1143i	0.121667	+	0.374451i	0.993279	−	0.115744i	$-0.0369254\pi$
$881$	3.61126	+	11.1143i	0.121667	+	0.374451i	−0.871612	+	0.490196i	$0.836925\pi$
$882$	−6.47214	+	4.70228i	−0.217928	+	0.158334i
$883$	−9.35835	−	28.8021i	−0.314934	−	0.969266i	−0.975782	−	0.218747i	$-0.929803\pi$
$883$	−9.35835	−	28.8021i	−0.314934	−	0.969266i	0.660848	−	0.750520i	$-0.270197\pi$
$884$	−12.6076	−	38.8021i	−0.424039	−	1.30506i
$885$	−1.36424	+	0.991177i	−0.0458584	+	0.0333181i
$886$	−0.608937	−	1.87412i	−0.0204577	−	0.0629622i
$887$	−15.8606	+	48.8138i	−0.532546	+	1.63901i	0.216347	+	0.976317i	$0.430586\pi$
$887$	−15.8606	+	48.8138i	−0.532546	+	1.63901i	−0.748893	+	0.662691i	$0.769414\pi$
$888$	0.531406	+	0.386089i	0.0178328	+	0.0129563i
$889$	−1.13913	+	3.50587i	−0.0382051	+	0.117583i
$890$	−1.50304	+	1.09203i	−0.0503821	+	0.0366048i
$891$	−19.6365	+	14.2668i	−0.657848	+	0.477955i
$892$	−35.0990	−	25.5009i	−1.17520	−	0.853834i
$893$	42.6274			1.42647
$894$	0.171573			0.00573826
$895$	12.3316	+	8.95940i	0.412198	+	0.299480i
$896$	1.35120	+	4.15857i	0.0451405	+	0.138928i
$897$	1.96014	−	6.03269i	0.0654472	−	0.201426i
$898$	−16.8284			−0.561572
$899$		0			0
$900$	−20.6863			−0.689543
$901$	−10.4975	+	32.3079i	−0.349722	+	1.07633i
$902$	−3.10680	−	9.56175i	−0.103445	−	0.318372i
$903$	−1.51291	−	1.09919i	−0.0503464	−	0.0365788i
$904$	−26.4142			−0.878524
$905$	12.3137			0.409322
$906$	−0.737571	−	0.535877i	−0.0245042	−	0.0178033i
$907$	−26.4438	+	19.2125i	−0.878051	+	0.637941i	−0.932735	−	0.360562i	$-0.882585\pi$
$907$	−26.4438	+	19.2125i	−0.878051	+	0.637941i	0.0546843	+	0.998504i	$0.482585\pi$
$908$	−27.2388	+	19.7902i	−0.903952	+	0.656760i
$909$	7.41641	−	22.8254i	0.245987	−	0.757069i
$910$	−0.531406	−	0.386089i	−0.0176159	−	0.0127987i
$911$	0.296152	−	0.911464i	0.00981197	−	0.0301981i	−0.946031	−	0.324077i	$-0.894946\pi$
$911$	0.296152	−	0.911464i	0.00981197	−	0.0301981i	0.955843	+	0.293879i	$0.0949463\pi$
$912$	1.69505	+	5.21681i	0.0561286	+	0.172746i
$913$	26.4200	−	19.1952i	0.874373	−	0.635269i
$914$	−3.98240	−	12.2566i	−0.131726	−	0.405411i
$915$	−0.362036	−	1.11423i	−0.0119685	−	0.0368354i
$916$	−8.11399	+	5.89516i	−0.268094	+	0.194781i
$917$	1.69505	+	5.21681i	0.0559753	+	0.172274i
$918$	1.80108	−	5.54316i	0.0594446	−	0.182952i
$919$	28.2343	+	20.5134i	0.931363	+	0.676675i	0.946326	−	0.323213i	$-0.104763\pi$
$919$	28.2343	+	20.5134i	0.931363	+	0.676675i	−0.0149631	+	0.999888i	$0.504763\pi$
$920$	1.96014	−	6.03269i	0.0646239	−	0.198892i
$921$	3.76747	−	2.73723i	0.124142	−	0.0901948i
$922$	0.717842	−	0.521543i	0.0236409	−	0.0171761i
$923$	0.220116	+	0.159923i	0.00724520	+	0.00526394i
$924$	1.01724			0.0334649
$925$	−4.00000			−0.131519
$926$	3.00609	+	2.18405i	0.0987862	+	0.0717724i
$927$	−1.81018	−	5.57116i	−0.0594541	−	0.182981i
$928$	−9.31443	+	28.6669i	−0.305761	+	0.941036i
$929$	7.51472			0.246550			0.123275	−	0.992373i	$-0.460660\pi$
$929$	7.51472			0.246550			0.123275	+	0.992373i	$0.460660\pi$
$930$		0			0
$931$	−30.1421			−0.987869
$932$	5.18208	−	15.9488i	0.169745	−	0.522420i
$933$	1.44814	+	4.45693i	0.0474101	+	0.145913i
$934$	2.68085	+	1.94775i	0.0877200	+	0.0637323i
$935$	−18.8995			−0.618080
$936$	−17.1716			−0.561270
$937$	−12.6905	−	9.22017i	−0.414580	−	0.301210i	0.360874	−	0.932615i	$-0.382479\pi$
$937$	−12.6905	−	9.22017i	−0.414580	−	0.301210i	−0.775453	+	0.631405i	$0.782479\pi$
$938$	0.450096	−	0.327014i	0.0146962	−	0.0106774i
$939$	0.612717	−	0.445165i	0.0199952	−	0.0145274i
$940$	−5.45627	+	16.7927i	−0.177964	+	0.547716i
$941$	28.3156	+	20.5725i	0.923062	+	0.670644i	0.944284	−	0.329131i	$-0.106756\pi$
$941$	28.3156	+	20.5725i	0.923062	+	0.670644i	−0.0212223	+	0.999775i	$0.506756\pi$
$942$	0.486267	−	1.49658i	0.0158434	−	0.0487611i
$943$	9.25232	+	28.4757i	0.301297	+	0.927296i
$944$	−9.88069	+	7.17874i	−0.321589	+	0.233648i
$945$	0.309017	+	0.951057i	0.0100523	+	0.0309379i
$946$	−4.52389	−	13.9231i	−0.147084	−	0.452679i
$947$	−15.4526	+	11.2270i	−0.502143	+	0.364828i	−0.809835	−	0.586658i	$-0.800443\pi$
$947$	−15.4526	+	11.2270i	−0.502143	+	0.364828i	0.307692	+	0.951486i	$0.400443\pi$
$948$	1.58147	+	4.86727i	0.0513638	+	0.158082i
$949$	2.16312	−	6.65740i	0.0702178	−	0.216108i
$950$	5.91691	+	4.29889i	0.191970	+	0.139474i
$951$	−1.00203	+	3.08393i	−0.0324931	+	0.100003i
$952$	3.09726	−	2.25029i	0.100383	−	0.0729324i
$953$	−2.84347	+	2.06590i	−0.0921089	+	0.0669211i	−0.632887	−	0.774245i	$-0.718130\pi$
$953$	−2.84347	+	2.06590i	−0.0921089	+	0.0669211i	0.540778	+	0.841166i	$0.318130\pi$
$954$	5.52431	+	4.01365i	0.178856	+	0.129947i
$955$	−20.8995			−0.676292
$956$	38.8406			1.25620
$957$	7.41996	+	5.39092i	0.239853	+	0.174264i
$958$	−2.01316	−	6.19587i	−0.0650422	−	0.200179i
$959$	−1.21411	+	3.73664i	−0.0392056	+	0.120662i
$960$	−1.72792			−0.0557684
$961$		0			0
$962$	−1.58579			−0.0511278
$963$	−10.8504	+	33.3942i	−0.349650	+	1.07611i
$964$	−7.53908	−	23.2029i	−0.242817	−	0.747315i
$965$	−5.77811	−	4.19804i	−0.186004	−	0.135140i
$966$	0.284271			0.00914628
$967$	−15.4437			−0.496634			−0.248317	−	0.968679i	$-0.579878\pi$
$967$	−15.4437			−0.496634			−0.248317	+	0.968679i	$0.579878\pi$
$968$	−0.622581	−	0.452332i	−0.0200105	−	0.0145385i
$969$	8.62158	−	6.26394i	0.276965	−	0.201227i
$970$	−1.73302	+	1.25912i	−0.0556441	+	0.0404278i
$971$	−0.215844	+	0.664299i	−0.00692675	+	0.0213184i	−0.954460	−	0.298338i	$-0.903568\pi$
$971$	−0.215844	+	0.664299i	−0.00692675	+	0.0213184i	0.947533	+	0.319657i	$0.103568\pi$
$972$	15.2999	+	11.1160i	0.490744	+	0.356546i
$973$		0			0
$974$	2.48123	+	7.63645i	0.0795038	+	0.244688i
$975$	−5.13171	+	3.72841i	−0.164346	+	0.119405i
$976$	−2.62210	−	8.06998i	−0.0839313	−	0.258314i
$977$	−0.149960	−	0.461530i	−0.00479765	−	0.0147657i	0.948629	−	0.316391i	$-0.102471\pi$
$977$	−0.149960	−	0.461530i	−0.00479765	−	0.0147657i	−0.953427	+	0.301625i	$0.902471\pi$
$978$	−2.91083	+	2.11484i	−0.0930780	+	0.0676251i
$979$	4.49439	+	13.8323i	0.143641	+	0.442083i
$980$	3.85816	−	11.8742i	0.123245	−	0.379308i
$981$	−24.7781	−	18.0023i	−0.791104	−	0.574771i
$982$	0.202979	−	0.624706i	0.00647732	−	0.0199352i
$983$	31.4227	−	22.8299i	1.00223	−	0.728162i	0.0396642	−	0.999213i	$-0.487371\pi$
$983$	31.4227	−	22.8299i	1.00223	−	0.728162i	0.962565	+	0.271051i	$0.0873712\pi$
$984$	−3.97773	+	2.88999i	−0.126805	+	0.0921294i
$985$	10.9098	+	7.92645i	0.347616	+	0.252558i
$986$	16.4853			0.524998
$987$	−1.65685			−0.0527383
$988$	−24.9982	−	18.1623i	−0.795299	−	0.577819i
$989$	13.4725	+	41.4641i	0.428401	+	1.31848i
$990$	−1.17395	+	3.61305i	−0.0373107	+	0.114830i
$991$	47.9411			1.52290			0.761450	−	0.648224i	$-0.224488\pi$
$991$	47.9411			1.52290			0.761450	+	0.648224i	$0.224488\pi$
$992$		0			0
$993$	3.82843			0.121491
$994$	−0.00376794	+	0.0115965i	−0.000119512	+	0.000367819i
$995$	5.69030	+	17.5130i	0.180395	+	0.555198i
$996$	−6.17071	−	4.48328i	−0.195526	−	0.142058i
$997$	32.5980			1.03239			0.516194	−	0.856472i	$-0.327348\pi$
$997$	32.5980			1.03239			0.516194	+	0.856472i	$0.327348\pi$
$998$	−0.916739			−0.0290189
$999$	1.95314	+	1.41904i	0.0617946	+	0.0448964i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	961.2.d.l.628.2		8
31.2	even	5		961.2.a.a.1.2		2
31.3	odd	30		961.2.g.r.816.1		16
31.4	even	5	inner	961.2.d.l.531.2		8
31.5	even	3		961.2.g.o.448.2		16
31.6	odd	6		961.2.g.r.846.2		16
31.7	even	15		961.2.g.o.547.2		16
31.8	even	5	inner	961.2.d.l.388.1		8
31.9	even	15		961.2.g.o.338.1		16
31.10	even	15		31.2.c.a.25.2	yes	4
31.11	odd	30		961.2.g.r.844.2		16
31.12	odd	30		961.2.c.a.439.2		4
31.13	odd	30		961.2.g.r.732.1		16
31.14	even	15		961.2.g.o.235.1		16
31.15	odd	10		961.2.d.i.374.1		8
31.16	even	5	inner	961.2.d.l.374.1		8
31.17	odd	30		961.2.g.r.235.1		16
31.18	even	15		961.2.g.o.732.1		16
31.19	even	15		31.2.c.a.5.2	✓	4
31.20	even	15		961.2.g.o.844.2		16
31.21	odd	30		961.2.c.a.521.2		4
31.22	odd	30		961.2.g.r.338.1		16
31.23	odd	10		961.2.d.i.388.1		8
31.24	odd	30		961.2.g.r.547.2		16
31.25	even	3		961.2.g.o.846.2		16
31.26	odd	6		961.2.g.r.448.2		16
31.27	odd	10		961.2.d.i.531.2		8
31.28	even	15		961.2.g.o.816.1		16
31.29	odd	10		961.2.a.c.1.2		2
31.30	odd	2		961.2.d.i.628.2		8
93.2	odd	10		8649.2.a.l.1.1		2
93.29	even	10		8649.2.a.k.1.1		2
93.41	odd	30		279.2.h.c.118.1		4
93.50	odd	30		279.2.h.c.253.1		4
124.19	odd	30		496.2.i.h.129.2		4
124.103	odd	30		496.2.i.h.273.2		4
155.19	even	30		775.2.e.e.501.1		4
155.72	odd	60		775.2.o.d.149.3		8
155.103	odd	60		775.2.o.d.149.2		8
155.112	odd	60		775.2.o.d.749.3		8
155.134	even	30		775.2.e.e.676.1		4
155.143	odd	60		775.2.o.d.749.2		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
31.2.c.a.5.2	✓	4	31.19	even	15
31.2.c.a.25.2	yes	4	31.10	even	15
279.2.h.c.118.1		4	93.41	odd	30
279.2.h.c.253.1		4	93.50	odd	30
496.2.i.h.129.2		4	124.19	odd	30
496.2.i.h.273.2		4	124.103	odd	30
775.2.e.e.501.1		4	155.19	even	30
775.2.e.e.676.1		4	155.134	even	30
775.2.o.d.149.2		8	155.103	odd	60
775.2.o.d.149.3		8	155.72	odd	60
775.2.o.d.749.2		8	155.143	odd	60
775.2.o.d.749.3		8	155.112	odd	60
961.2.a.a.1.2		2	31.2	even	5
961.2.a.c.1.2		2	31.29	odd	10
961.2.c.a.439.2		4	31.12	odd	30
961.2.c.a.521.2		4	31.21	odd	30
961.2.d.i.374.1		8	31.15	odd	10
961.2.d.i.388.1		8	31.23	odd	10
961.2.d.i.531.2		8	31.27	odd	10
961.2.d.i.628.2		8	31.30	odd	2
961.2.d.l.374.1		8	31.16	even	5	inner
961.2.d.l.388.1		8	31.8	even	5	inner
961.2.d.l.531.2		8	31.4	even	5	inner
961.2.d.l.628.2		8	1.1	even	1	trivial
961.2.g.o.235.1		16	31.14	even	15
961.2.g.o.338.1		16	31.9	even	15
961.2.g.o.448.2		16	31.5	even	3
961.2.g.o.547.2		16	31.7	even	15
961.2.g.o.732.1		16	31.18	even	15
961.2.g.o.816.1		16	31.28	even	15
961.2.g.o.844.2		16	31.20	even	15
961.2.g.o.846.2		16	31.25	even	3
961.2.g.r.235.1		16	31.17	odd	30
961.2.g.r.338.1		16	31.22	odd	30
961.2.g.r.448.2		16	31.26	odd	6
961.2.g.r.547.2		16	31.24	odd	30
961.2.g.r.732.1		16	31.13	odd	30
961.2.g.r.816.1		16	31.3	odd	30
961.2.g.r.844.2		16	31.11	odd	30
961.2.g.r.846.2		16	31.6	odd	6
8649.2.a.k.1.1		2	93.29	even	10
8649.2.a.l.1.1		2	93.2	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 961 = 31^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	961.d (of order \(5\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.127999 - 0.393941i) q^{2} +(0.127999 + 0.393941i) q^{3} +(1.47923 + 1.07472i) q^{4} +1.00000 q^{5} +0.171573 q^{6} +(0.335106 + 0.243469i) q^{7} +(1.28293 - 0.932102i) q^{8} +(2.28825 - 1.66251i) q^{9} +O(q^{10})\)	\(q+(0.127999 - 0.393941i) q^{2} +(0.127999 + 0.393941i) q^{3} +(1.47923 + 1.07472i) q^{4} +1.00000 q^{5} +0.171573 q^{6} +(0.335106 + 0.243469i) q^{7} +(1.28293 - 0.932102i) q^{8} +(2.28825 - 1.66251i) q^{9} +(0.127999 - 0.393941i) q^{10} +(-2.62335 - 1.90598i) q^{11} +(-0.234037 + 0.720292i) q^{12} +(-1.18305 - 3.64105i) q^{13} +(0.138805 - 0.100848i) q^{14} +(0.127999 + 0.393941i) q^{15} +(0.927051 + 2.85317i) q^{16} +(4.71530 - 3.42586i) q^{17} +(-0.362036 - 1.11423i) q^{18} +(1.36407 - 4.19817i) q^{19} +(1.47923 + 1.07472i) q^{20} +(-0.0530189 + 0.163176i) q^{21} +(-1.08663 + 0.789481i) q^{22} +(3.23607 - 2.35114i) q^{23} +(0.531406 + 0.386089i) q^{24} -4.00000 q^{25} -1.58579 q^{26} +(1.95314 + 1.41904i) q^{27} +(0.234037 + 0.720292i) q^{28} +(-2.11010 + 6.49422i) q^{29} +0.171573 q^{30} +4.41421 q^{32} +(0.415055 - 1.27741i) q^{33} +(-0.746033 - 2.29605i) q^{34} +(0.335106 + 0.243469i) q^{35} +5.17157 q^{36} +1.00000 q^{37} +(-1.47923 - 1.07472i) q^{38} +(1.28293 - 0.932102i) q^{39} +(1.28293 - 0.932102i) q^{40} +(-2.31308 + 7.11893i) q^{41} +(0.0574951 + 0.0417726i) q^{42} +(-3.36813 + 10.3660i) q^{43} +(-1.83214 - 5.63875i) q^{44} +(2.28825 - 1.66251i) q^{45} +(-0.511996 - 1.57576i) q^{46} +(2.98413 + 9.18421i) q^{47} +(-1.00532 + 0.730406i) q^{48} +(-2.11010 - 6.49422i) q^{49} +(-0.511996 + 1.57576i) q^{50} +(1.95314 + 1.41904i) q^{51} +(2.16312 - 6.65740i) q^{52} +(-4.71530 + 3.42586i) q^{53} +(0.809017 - 0.587785i) q^{54} +(-2.62335 - 1.90598i) q^{55} +0.656854 q^{56} +1.82843 q^{57} +(2.28825 + 1.66251i) q^{58} +(1.25803 + 3.87182i) q^{59} +(-0.234037 + 0.720292i) q^{60} -2.82843 q^{61} +1.17157 q^{63} +(-1.28909 + 3.96740i) q^{64} +(-1.18305 - 3.64105i) q^{65} +(-0.450096 - 0.327014i) q^{66} +3.24264 q^{67} +10.6569 q^{68} +(1.34042 + 0.973874i) q^{69} +(0.138805 - 0.100848i) q^{70} +(-0.0574951 + 0.0417726i) q^{71} +(1.38603 - 4.26576i) q^{72} +(1.47923 + 1.07472i) q^{73} +(0.127999 - 0.393941i) q^{74} +(-0.511996 - 1.57576i) q^{75} +(6.52963 - 4.74405i) q^{76} +(-0.415055 - 1.27741i) q^{77} +(-0.202979 - 0.624706i) q^{78} +(5.46682 - 3.97188i) q^{79} +(0.927051 + 2.85317i) q^{80} +(2.31308 - 7.11893i) q^{81} +(2.50836 + 1.82243i) q^{82} +(-3.11213 + 9.57815i) q^{83} +(-0.253796 + 0.184393i) q^{84} +(4.71530 - 3.42586i) q^{85} +(3.65248 + 2.65369i) q^{86} -2.82843 q^{87} -5.14214 q^{88} +(-3.62867 - 2.63638i) q^{89} +(-0.362036 - 1.11423i) q^{90} +(0.490035 - 1.50817i) q^{91} +7.31371 q^{92} +4.00000 q^{94} +(1.36407 - 4.19817i) q^{95} +(0.565015 + 1.73894i) q^{96} +(-4.18389 - 3.03977i) q^{97} -2.82843 q^{98} -9.17157 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} + 24 q^{6} - 2 q^{7} + 6 q^{8}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 + 24 * q^6 - 2 * q^7 + 6 * q^8	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 8 q^{5} + 24 q^{6} - 2 q^{7} + 6 q^{8} + 2 q^{10} + 2 q^{11} + 10 q^{12} + 2 q^{13} + 6 q^{14} + 2 q^{15} - 6 q^{16} + 6 q^{17} + 8 q^{18} - 6 q^{19} - 2 q^{20} + 6 q^{21} - 14 q^{22} + 8 q^{23} - 10 q^{24} - 32 q^{25} - 24 q^{26} + 2 q^{27} - 10 q^{28} + 8 q^{29} + 24 q^{30} + 24 q^{32} - 14 q^{33} + 2 q^{34} - 2 q^{35} + 64 q^{36} + 8 q^{37} + 2 q^{38} + 6 q^{39} + 6 q^{40} - 2 q^{41} - 14 q^{42} + 2 q^{43} + 26 q^{44} - 8 q^{46} - 8 q^{47} + 6 q^{48} + 8 q^{49} - 8 q^{50} + 2 q^{51} - 14 q^{52} - 6 q^{53} + 2 q^{54} + 2 q^{55} - 40 q^{56} - 8 q^{57} + 6 q^{59} + 10 q^{60} + 32 q^{63} + 14 q^{64} + 2 q^{65} + 30 q^{66} - 8 q^{67} + 40 q^{68} - 8 q^{69} + 6 q^{70} + 14 q^{71} + 8 q^{72} - 2 q^{73} + 2 q^{74} - 8 q^{75} + 2 q^{76} + 14 q^{77} - 10 q^{78} + 22 q^{79} - 6 q^{80} + 2 q^{81} + 26 q^{82} + 6 q^{83} + 22 q^{84} + 6 q^{85} + 26 q^{86} + 72 q^{88} + 8 q^{89} + 8 q^{90} - 6 q^{91} - 32 q^{92} + 32 q^{94} - 6 q^{95} + 2 q^{96} - 16 q^{97} - 96 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 8 * q^5 + 24 * q^6 - 2 * q^7 + 6 * q^8 + 2 * q^10 + 2 * q^11 + 10 * q^12 + 2 * q^13 + 6 * q^14 + 2 * q^15 - 6 * q^16 + 6 * q^17 + 8 * q^18 - 6 * q^19 - 2 * q^20 + 6 * q^21 - 14 * q^22 + 8 * q^23 - 10 * q^24 - 32 * q^25 - 24 * q^26 + 2 * q^27 - 10 * q^28 + 8 * q^29 + 24 * q^30 + 24 * q^32 - 14 * q^33 + 2 * q^34 - 2 * q^35 + 64 * q^36 + 8 * q^37 + 2 * q^38 + 6 * q^39 + 6 * q^40 - 2 * q^41 - 14 * q^42 + 2 * q^43 + 26 * q^44 - 8 * q^46 - 8 * q^47 + 6 * q^48 + 8 * q^49 - 8 * q^50 + 2 * q^51 - 14 * q^52 - 6 * q^53 + 2 * q^54 + 2 * q^55 - 40 * q^56 - 8 * q^57 + 6 * q^59 + 10 * q^60 + 32 * q^63 + 14 * q^64 + 2 * q^65 + 30 * q^66 - 8 * q^67 + 40 * q^68 - 8 * q^69 + 6 * q^70 + 14 * q^71 + 8 * q^72 - 2 * q^73 + 2 * q^74 - 8 * q^75 + 2 * q^76 + 14 * q^77 - 10 * q^78 + 22 * q^79 - 6 * q^80 + 2 * q^81 + 26 * q^82 + 6 * q^83 + 22 * q^84 + 6 * q^85 + 26 * q^86 + 72 * q^88 + 8 * q^89 + 8 * q^90 - 6 * q^91 - 32 * q^92 + 32 * q^94 - 6 * q^95 + 2 * q^96 - 16 * q^97 - 96 * q^99

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