LMFDB - Embedded newform 273.2.cd.e.242.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 9]))

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

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

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			242.12
Character	$\chi$	$=$	273.242
Dual form			273.2.cd.e.44.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623254 - 0.167000i) q^{2} +(-1.63214 + 0.579750i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(2.98988 + 0.801137i) q^{5} +(1.11406 - 0.0887629i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(1.63506 + 1.63506i) q^{8} +(2.32778 - 1.89247i) q^{9} +O(q^{10})$	\(q+(-0.623254 - 0.167000i) q^{2} +(-1.63214 + 0.579750i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(2.98988 + 0.801137i) q^{5} +(1.11406 - 0.0887629i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(1.63506 + 1.63506i) q^{8} +(2.32778 - 1.89247i) q^{9} +(-1.72966 - 0.998622i) q^{10} +(-1.79099 + 0.479894i) q^{11} +(2.69754 + 0.497260i) q^{12} +(-2.76022 + 2.31973i) q^{13} +(1.54658 + 0.722789i) q^{14} +(-5.34437 + 0.425815i) q^{15} +(0.837665 + 1.45088i) q^{16} +(-1.98874 + 3.44460i) q^{17} +(-1.76684 + 0.790748i) q^{18} +(-1.93721 + 7.22976i) q^{19} +(-3.46624 - 3.46624i) q^{20} +(4.51964 - 0.756861i) q^{21} +1.19638 q^{22} +(-1.29472 - 2.24251i) q^{23} +(-3.61658 - 1.72072i) q^{24} +(3.96745 + 2.29061i) q^{25} +(2.10772 - 0.984824i) q^{26} +(-2.70211 + 4.43831i) q^{27} +(3.20742 + 2.69601i) q^{28} +8.80819i q^{29} +(3.40201 + 0.627121i) q^{30} +(-0.388653 + 0.104139i) q^{31} +(-1.47673 - 5.51122i) q^{32} +(2.64493 - 1.82158i) q^{33} +(1.81474 - 1.81474i) q^{34} +(-7.41929 - 3.46738i) q^{35} +(-4.69106 + 0.752299i) q^{36} +(-8.52423 - 2.28406i) q^{37} +(2.41474 - 4.18246i) q^{38} +(3.16021 - 5.38638i) q^{39} +(3.57873 + 6.19854i) q^{40} +(7.30296 - 7.30296i) q^{41} +(-2.94328 - 0.283065i) q^{42} -2.15449i q^{43} +(2.83633 + 0.759992i) q^{44} +(8.47592 - 3.79339i) q^{45} +(0.432436 + 1.61387i) q^{46} +(-0.515167 + 1.92263i) q^{47} +(-2.20834 - 1.88240i) q^{48} +(6.57375 + 2.40536i) q^{49} +(-2.09020 - 2.09020i) q^{50} +(1.24890 - 6.77505i) q^{51} +(5.62247 - 0.995867i) q^{52} +(1.46449 + 0.845522i) q^{53} +(2.42530 - 2.31494i) q^{54} -5.73931 q^{55} +(-3.50477 - 5.01443i) q^{56} +(-1.02965 - 12.9231i) q^{57} +(1.47097 - 5.48974i) q^{58} +(7.21924 - 1.93439i) q^{59} +(7.66696 + 3.64785i) q^{60} +(0.418120 + 0.724204i) q^{61} +0.259621 q^{62} +(-6.93791 + 3.85557i) q^{63} +0.330842i q^{64} +(-10.1112 + 4.72442i) q^{65} +(-1.95267 + 0.693603i) q^{66} +(-3.34274 + 0.895685i) q^{67} +(5.45510 - 3.14950i) q^{68} +(3.41326 + 2.90949i) q^{69} +(4.04504 + 3.40008i) q^{70} +(-1.94434 + 1.94434i) q^{71} +(6.90036 + 0.711759i) q^{72} +(0.241870 + 0.902673i) q^{73} +(4.93132 + 2.84710i) q^{74} +(-7.80343 - 1.43847i) q^{75} +(8.38163 - 8.38163i) q^{76} +(4.88737 - 0.423389i) q^{77} +(-2.86914 + 2.82932i) q^{78} +(-0.833854 - 1.44428i) q^{79} +(1.34217 + 5.00904i) q^{80} +(1.83712 - 8.81050i) q^{81} +(-5.77120 + 3.33200i) q^{82} +(-10.2624 + 10.2624i) q^{83} +(-6.79797 - 2.54077i) q^{84} +(-8.70570 + 8.70570i) q^{85} +(-0.359801 + 1.34279i) q^{86} +(-5.10655 - 14.3762i) q^{87} +(-3.71303 - 2.14372i) q^{88} +(0.330604 - 1.23383i) q^{89} +(-5.91614 + 0.948764i) q^{90} +(8.26174 - 4.76902i) q^{91} +4.10079i q^{92} +(0.573963 - 0.395292i) q^{93} +(0.642160 - 1.11225i) q^{94} +(-11.5840 + 20.0642i) q^{95} +(5.60536 + 8.13897i) q^{96} +(6.39435 + 6.39435i) q^{97} +(-3.69542 - 2.59697i) q^{98} +(-3.26085 + 4.50648i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.623254	−	0.167000i	−0.440707	−	0.118087i	0.0316410	−	0.999499i	$-0.489927\pi$
$2$	−0.623254	−	0.167000i	−0.440707	−	0.118087i	−0.472348	+	0.881412i	$0.656593\pi$
$3$	−1.63214	+	0.579750i	−0.942318	+	0.334719i
$3$	−1.63214	+	0.579750i	−0.942318	+	0.334719i
$4$	−1.37149	−	0.791833i	−0.685747	−	0.395916i
$5$	2.98988	+	0.801137i	1.33712	+	0.358279i	0.855364	−	0.518028i	$-0.173334\pi$
$5$	2.98988	+	0.801137i	1.33712	+	0.358279i	0.481753	+	0.876307i	$0.340000\pi$
$6$	1.11406	−	0.0887629i	0.454812	−	0.0362373i
$7$	−2.60516	−	0.461652i	−0.984659	−	0.174488i
$7$	−2.60516	−	0.461652i	−0.984659	−	0.174488i
$8$	1.63506	+	1.63506i	0.578081	+	0.578081i
$9$	2.32778	−	1.89247i	0.775927	−	0.630823i
$10$	−1.72966	−	0.998622i	−0.546968	−	0.315792i
$11$	−1.79099	+	0.479894i	−0.540004	+	0.144694i	−0.518504	−	0.855075i	$-0.673511\pi$
$11$	−1.79099	+	0.479894i	−0.540004	+	0.144694i	−0.0214999	+	0.999769i	$0.506844\pi$
$12$	2.69754	+	0.497260i	0.778713	+	0.143547i
$13$	−2.76022	+	2.31973i	−0.765548	+	0.643378i
$13$	−2.76022	+	2.31973i	−0.765548	+	0.643378i
$14$	1.54658	+	0.722789i	0.413341	+	0.193174i
$15$	−5.34437	+	0.425815i	−1.37991	+	0.109945i
$16$	0.837665	+	1.45088i	0.209416	+	0.362720i
$17$	−1.98874	+	3.44460i	−0.482341	+	0.835439i	−0.999794	−	0.0202725i	$-0.993547\pi$
$17$	−1.98874	+	3.44460i	−0.482341	+	0.835439i	0.517454	+	0.855711i	$0.326880\pi$
$18$	−1.76684	+	0.790748i	−0.416448	+	0.186381i
$19$	−1.93721	+	7.22976i	−0.444426	+	1.65862i	0.273022	+	0.962008i	$0.411977\pi$
$19$	−1.93721	+	7.22976i	−0.444426	+	1.65862i	−0.717448	+	0.696612i	$0.754690\pi$
$20$	−3.46624	−	3.46624i	−0.775075	−	0.775075i
$21$	4.51964	−	0.756861i	0.986267	−	0.165161i
$22$	1.19638			0.255070
$23$	−1.29472	−	2.24251i	−0.269967	−	0.467596i	0.698886	−	0.715233i	$-0.253679\pi$
$23$	−1.29472	−	2.24251i	−0.269967	−	0.467596i	−0.968853	+	0.247637i	$0.920346\pi$
$24$	−3.61658	−	1.72072i	−0.738230	−	0.351241i
$25$	3.96745	+	2.29061i	0.793490	+	0.458122i
$26$	2.10772	−	0.984824i	0.413357	−	0.193140i
$27$	−2.70211	+	4.43831i	−0.520021	+	0.854153i
$28$	3.20742	+	2.69601i	0.606145	+	0.509498i
$29$			8.80819i			1.63564i	0.575474	+	0.817820i	$0.304818\pi$
$29$			8.80819i			1.63564i	−0.575474	+	0.817820i	$0.695182\pi$
$30$	3.40201	+	0.627121i	0.621119	+	0.114496i
$31$	−0.388653	+	0.104139i	−0.0698042	+	0.0187040i	−0.293552	−	0.955943i	$-0.594837\pi$
$31$	−0.388653	+	0.104139i	−0.0698042	+	0.0187040i	0.223748	+	0.974647i	$0.428171\pi$
$32$	−1.47673	−	5.51122i	−0.261051	−	0.974255i
$33$	2.64493	−	1.82158i	0.460424	−	0.317097i
$34$	1.81474	−	1.81474i	0.311225	−	0.311225i
$35$	−7.41929	−	3.46738i	−1.25409	−	0.586094i
$36$	−4.69106	+	0.752299i	−0.781843	+	0.125383i
$37$	−8.52423	−	2.28406i	−1.40138	−	0.375497i	−0.522537	−	0.852617i	$-0.675014\pi$
$37$	−8.52423	−	2.28406i	−1.40138	−	0.375497i	−0.878838	+	0.477119i	$0.841681\pi$
$38$	2.41474	−	4.18246i	0.391723	−	0.678484i
$39$	3.16021	−	5.38638i	0.506039	−	0.862510i
$40$	3.57873	+	6.19854i	0.565847	+	0.980075i
$41$	7.30296	−	7.30296i	1.14053	−	1.14053i	0.152178	−	0.988353i	$-0.451371\pi$
$41$	7.30296	−	7.30296i	1.14053	−	1.14053i	0.988353	−	0.152178i	$-0.0486288\pi$
$42$	−2.94328	−	0.283065i	−0.454158	−	0.0436779i
$43$		−	2.15449i		−	0.328557i	−0.986414	−	0.164278i	$-0.947470\pi$
$43$		−	2.15449i		−	0.328557i	0.986414	−	0.164278i	$-0.0525296\pi$
$44$	2.83633	+	0.759992i	0.427593	+	0.114573i
$45$	8.47592	−	3.79339i	1.26351	−	0.565485i
$46$	0.432436	+	1.61387i	0.0637592	+	0.237953i
$47$	−0.515167	+	1.92263i	−0.0751449	+	0.280445i	−0.993266	−	0.115855i	$-0.963039\pi$
$47$	−0.515167	+	1.92263i	−0.0751449	+	0.280445i	0.918121	+	0.396300i	$0.129706\pi$
$48$	−2.20834	−	1.88240i	−0.318746	−	0.271702i
$49$	6.57375	+	2.40536i	0.939108	+	0.343623i
$50$	−2.09020	−	2.09020i	−0.295598	−	0.295598i
$51$	1.24890	−	6.77505i	0.174881	−	0.948697i
$52$	5.62247	−	0.995867i	0.779697	−	0.138102i
$53$	1.46449	+	0.845522i	0.201163	+	0.116141i	0.597198	−	0.802094i	$-0.296281\pi$
$53$	1.46449	+	0.845522i	0.201163	+	0.116141i	−0.396035	+	0.918235i	$0.629614\pi$
$54$	2.42530	−	2.31494i	0.330041	−	0.315023i
$55$	−5.73931			−0.773889
$56$	−3.50477	−	5.01443i	−0.468344	−	0.670081i
$57$	−1.02965	−	12.9231i	−0.136381	−	1.71171i
$58$	1.47097	−	5.48974i	0.193148	−	0.720838i
$59$	7.21924	−	1.93439i	0.939865	−	0.251836i	0.243809	−	0.969823i	$-0.421603\pi$
$59$	7.21924	−	1.93439i	0.939865	−	0.251836i	0.696056	+	0.717987i	$0.254936\pi$
$60$	7.66696	+	3.64785i	0.989800	+	0.470935i
$61$	0.418120	+	0.724204i	0.0535347	+	0.0927249i	0.891551	−	0.452921i	$-0.149618\pi$
$61$	0.418120	+	0.724204i	0.0535347	+	0.0927249i	−0.838016	+	0.545645i	$0.816285\pi$
$62$	0.259621			0.0329719
$63$	−6.93791	+	3.85557i	−0.874095	+	0.485756i
$64$			0.330842i			0.0413552i
$65$	−10.1112	+	4.72442i	−1.25414	+	0.585992i
$66$	−1.95267	+	0.693603i	−0.240357	+	0.0853766i
$67$	−3.34274	+	0.895685i	−0.408381	+	0.109425i	−0.457160	−	0.889384i	$-0.651133\pi$
$67$	−3.34274	+	0.895685i	−0.408381	+	0.109425i	0.0487796	+	0.998810i	$0.484467\pi$
$68$	5.45510	−	3.14950i	0.661528	−	0.381933i
$69$	3.41326	+	2.90949i	0.410908	+	0.350262i
$70$	4.04504	+	3.40008i	0.483475	+	0.406387i
$71$	−1.94434	+	1.94434i	−0.230750	+	0.230750i	−0.813006	−	0.582255i	$-0.802170\pi$
$71$	−1.94434	+	1.94434i	−0.230750	+	0.230750i	0.582255	+	0.813006i	$0.302170\pi$
$72$	6.90036	+	0.711759i	0.813215	+	0.0838816i
$73$	0.241870	+	0.902673i	0.0283088	+	0.105650i	0.978635	−	0.205607i	$-0.0659168\pi$
$73$	0.241870	+	0.902673i	0.0283088	+	0.105650i	−0.950326	+	0.311257i	$0.899250\pi$
$74$	4.93132	+	2.84710i	0.573254	+	0.330968i
$75$	−7.80343	−	1.43847i	−0.901062	−	0.166100i
$76$	8.38163	−	8.38163i	0.961439	−	0.961439i
$77$	4.88737	−	0.423389i	0.556967	−	0.0482496i
$78$	−2.86914	+	2.82932i	−0.324866	+	0.320358i
$79$	−0.833854	−	1.44428i	−0.0938159	−	0.162494i	0.815298	−	0.579042i	$-0.196573\pi$
$79$	−0.833854	−	1.44428i	−0.0938159	−	0.162494i	−0.909114	+	0.416548i	$0.863240\pi$
$80$	1.34217	+	5.00904i	0.150059	+	0.560028i
$81$	1.83712	−	8.81050i	0.204124	−	0.978945i
$82$	−5.77120	+	3.33200i	−0.637322	+	0.367958i
$83$	−10.2624	+	10.2624i	−1.12645	+	1.12645i	−0.135699	+	0.990750i	$0.543328\pi$
$83$	−10.2624	+	10.2624i	−1.12645	+	1.12645i	−0.990750	+	0.135699i	$0.956672\pi$
$84$	−6.79797	−	2.54077i	−0.741720	−	0.277221i
$85$	−8.70570	+	8.70570i	−0.944266	+	0.944266i
$86$	−0.359801	+	1.34279i	−0.0387983	+	0.144797i
$87$	−5.10655	−	14.3762i	−0.547479	−	1.54129i
$88$	−3.71303	−	2.14372i	−0.395810	−	0.228521i
$89$	0.330604	−	1.23383i	0.0350439	−	0.130786i	−0.946188	−	0.323618i	$-0.895101\pi$
$89$	0.330604	−	1.23383i	0.0350439	−	0.130786i	0.981232	+	0.192832i	$0.0617674\pi$
$90$	−5.91614	+	0.948764i	−0.623616	+	0.100009i
$91$	8.26174	−	4.76902i	0.866066	−	0.499929i
$92$			4.10079i			0.427537i
$93$	0.573963	−	0.395292i	0.0595172	−	0.0409899i
$94$	0.642160	−	1.11225i	0.0662337	−	0.114720i
$95$	−11.5840	+	20.0642i	−1.18850	+	2.05854i
$96$	5.60536	+	8.13897i	0.572095	+	0.830680i
$97$	6.39435	+	6.39435i	0.649248	+	0.649248i	0.952811	−	0.303563i	$-0.0981764\pi$
$97$	6.39435	+	6.39435i	0.649248	+	0.649248i	−0.303563	+	0.952811i	$0.598176\pi$
$98$	−3.69542	−	2.59697i	−0.373294	−	0.262333i
$99$	−3.26085	+	4.50648i	−0.327727	+	0.452919i
$100$	−3.62756	−	6.28312i	−0.362756	−	0.628312i
$101$	5.04057	−	8.73052i	0.501555	−	0.868719i	−0.498443	−	0.866922i	$-0.666095\pi$
$101$	5.04057	−	8.73052i	0.501555	−	0.868719i	0.999998	−	0.00179663i	$-0.000571885\pi$
$102$	−1.90982	+	4.01401i	−0.189100	+	0.397446i
$103$	12.9840	−	7.49631i	1.27935	−	0.738633i	0.302622	−	0.953111i	$-0.402138\pi$
$103$	12.9840	−	7.49631i	1.27935	−	0.738633i	0.976729	+	0.214477i	$0.0688048\pi$
$104$	−8.30603	−	0.720227i	−0.814473	−	0.0706241i
$105$	14.1195	+	1.35792i	1.37793	+	0.132520i
$106$	−0.771545	−	0.771545i	−0.0749390	−	0.0749390i
$107$	−0.147616	+	0.0852260i	−0.0142706	+	0.00823911i	−0.507118	−	0.861876i	$-0.669289\pi$
$107$	−0.147616	+	0.0852260i	−0.0142706	+	0.00823911i	0.492848	+	0.870116i	$0.335956\pi$
$108$	7.22033	−	3.94750i	0.694777	−	0.379848i
$109$	−14.0633	+	3.76826i	−1.34702	+	0.360933i	−0.859035	−	0.511917i	$-0.828935\pi$
$109$	−14.0633	+	3.76826i	−1.34702	+	0.360933i	−0.487987	+	0.872851i	$0.662269\pi$
$110$	3.57705	+	0.958467i	0.341058	+	0.0913862i
$111$	15.2369	−	1.21401i	1.44623	−	0.115229i
$112$	−1.51245	−	4.16648i	−0.142913	−	0.393696i
$113$		−	1.78658i		−	0.168068i	−0.996463	−	0.0840339i	$-0.973220\pi$
$113$		−	1.78658i		−	0.168068i	0.996463	−	0.0840339i	$-0.0267804\pi$
$114$	−1.51643	+	8.22632i	−0.142026	+	0.770465i
$115$	−2.07449	−	7.74210i	−0.193447	−	0.721954i
$116$	6.97462	−	12.0804i	0.647577	−	1.12164i
$117$	−2.03517	+	10.6235i	−0.188151	+	0.982140i
$118$	−4.82246			−0.443943
$119$	6.77121	−	8.05564i	0.620715	−	0.738460i
$120$	−9.43460	−	8.04214i	−0.861257	−	0.734143i
$121$	−6.54893	+	3.78103i	−0.595357	+	0.343730i
$122$	−0.139652	−	0.521189i	−0.0126435	−	0.0471862i
$123$	−7.68559	+	16.1534i	−0.692986	+	1.45650i
$124$	0.615497	+	0.164922i	0.0552733	+	0.0148104i
$125$	−0.916606	−	0.916606i	−0.0819837	−	0.0819837i
$126$	4.96796	−	1.24436i	0.442581	−	0.110857i
$127$		−	4.94560i		−	0.438851i	−0.975629	−	0.219425i	$-0.929582\pi$
$127$		−	4.94560i		−	0.438851i	0.975629	−	0.219425i	$-0.0704182\pi$
$128$	−2.89820	+	10.8162i	−0.256167	+	0.956030i
$129$	1.24907	+	3.51644i	0.109974	+	0.309605i
$130$	7.09080	−	1.25594i	0.621904	−	0.110153i
$131$	13.7622	−	7.94561i	1.20241	−	0.694211i	0.241318	−	0.970446i	$-0.422420\pi$
$131$	13.7622	−	7.94561i	1.20241	−	0.694211i	0.961090	+	0.276235i	$0.0890869\pi$
$132$	−5.06990	+	0.403946i	−0.441278	+	0.0351590i
$133$	8.38438	−	17.9404i	0.727018	−	1.55563i
$134$	2.23295			0.192898
$135$	−11.6347	+	11.1053i	−1.00135	+	0.955789i
$136$	−8.88384	+	2.38042i	−0.761783	+	0.204119i
$137$	1.28795	−	0.345106i	0.110037	−	0.0294844i	−0.203380	−	0.979100i	$-0.565193\pi$
$137$	1.28795	−	0.345106i	0.110037	−	0.0294844i	0.313417	+	0.949615i	$0.398526\pi$
$138$	−1.64144	−	2.38337i	−0.139729	−	0.202886i
$139$	−18.4564			−1.56545			−0.782726	−	0.622367i	$-0.786171\pi$
$139$	−18.4564			−1.56545			−0.782726	+	0.622367i	$0.786171\pi$
$140$	7.42993	+	10.6303i	0.627944	+	0.898427i
$141$	−0.273818	−	3.43668i	−0.0230597	−	0.289420i
$142$	1.53652	−	0.887111i	0.128942	−	0.0744447i
$143$	3.83031	−	5.47924i	0.320306	−	0.458197i
$144$	4.69564	+	1.79207i	0.391303	+	0.149339i
$145$	−7.05656	+	26.3355i	−0.586016	+	2.18704i
$146$		−	0.602987i		−	0.0499035i
$147$	−12.1238	−	0.114755i	−0.999955	−	0.00946487i
$148$	9.88235	+	9.88235i	0.812324	+	0.812324i
$149$	0.756961	+	0.202827i	0.0620126	+	0.0166162i	0.289692	−	0.957120i	$-0.406447\pi$
$149$	0.756961	+	0.202827i	0.0620126	+	0.0166162i	−0.227679	+	0.973736i	$0.573114\pi$
$150$	4.62329	+	2.19971i	0.377490	+	0.179605i
$151$	2.80292	+	10.4606i	0.228099	+	0.851275i	0.981139	+	0.193302i	$0.0619196\pi$
$151$	2.80292	+	10.4606i	0.228099	+	0.851275i	−0.753041	+	0.657974i	$0.771414\pi$
$152$	−14.9885	+	8.65363i	−1.21573	+	0.701902i
$153$	1.88945	+	11.7819i	0.152753	+	0.952511i
$154$	−3.11677	−	0.552313i	−0.251157	−	0.0445066i
$155$	−1.24546			−0.100038
$156$	−8.59933	+	4.88503i	−0.688497	+	0.391115i
$157$	−6.61319	+	11.4544i	−0.527790	+	0.914159i	0.471685	+	0.881767i	$0.343646\pi$
$157$	−6.61319	+	11.4544i	−0.527790	+	0.914159i	−0.999475	+	0.0323919i	$0.989688\pi$
$158$	0.278508	+	1.03941i	0.0221569	+	0.0826906i
$159$	−2.88044	−	0.530977i	−0.228434	−	0.0421092i
$160$		−	17.6610i		−	1.39622i
$161$	2.33769	+	6.43982i	0.184235	+	0.507529i
$162$	−2.61635	+	5.18438i	−0.205560	+	0.407323i
$163$	4.27166	+	1.14459i	0.334582	+	0.0896510i	0.422199	−	0.906503i	$-0.361258\pi$
$163$	4.27166	+	1.14459i	0.334582	+	0.0896510i	−0.0876168	+	0.996154i	$0.527925\pi$
$164$	−15.7987	+	4.23325i	−1.23367	+	0.330561i
$165$	9.36738	−	3.32737i	0.729249	−	0.259035i
$166$	8.10993	−	4.68227i	0.629453	−	0.363415i
$167$	15.0228	+	15.0228i	1.16250	+	1.16250i	0.983927	+	0.178574i	$0.0571484\pi$
$167$	15.0228	+	15.0228i	1.16250	+	1.16250i	0.178574	+	0.983927i	$0.442852\pi$
$168$	8.62739	+	6.15237i	0.665618	+	0.474666i
$169$	2.23767	−	12.8060i	0.172128	−	0.985075i
$170$	6.87971	−	3.97200i	0.527650	−	0.304639i
$171$	9.17270	+	20.4954i	0.701454	+	1.56732i
$172$	−1.70600	+	2.95488i	−0.130081	+	0.225307i
$173$	−0.715607	−	1.23947i	−0.0544066	−	0.0942349i	0.837539	−	0.546377i	$-0.183993\pi$
$173$	−0.715607	−	1.23947i	−0.0544066	−	0.0942349i	−0.891946	+	0.452142i	$0.850660\pi$
$174$	0.781840	+	9.81283i	0.0592712	+	0.743909i
$175$	−9.27840	−	7.79899i	−0.701381	−	0.589549i
$176$	−2.19652	−	2.19652i	−0.165569	−	0.165569i
$177$	−10.6614	+	7.34255i	−0.801357	+	0.551900i
$178$	−0.412100	+	0.713778i	−0.0308882	+	0.0534999i
$179$	−1.49301	+	2.58597i	−0.111593	+	0.193284i	−0.916413	−	0.400235i	$-0.868929\pi$
$179$	−1.49301	+	2.58597i	−0.111593	+	0.193284i	0.804820	+	0.593519i	$0.202262\pi$
$180$	−14.6284	−	1.50889i	−1.09034	−	0.112466i
$181$			0.139593i			0.0103759i	0.999987	+	0.00518793i	$0.00165138\pi$
$181$			0.139593i			0.0103759i	−0.999987	+	0.00518793i	$0.998349\pi$
$182$	−5.94559	+	1.59260i	−0.440716	+	0.118051i
$183$	−1.10229	−	0.939600i	−0.0814835	−	0.0694572i
$184$	1.54971	−	5.78358i	0.114246	−	0.426371i
$185$	−23.6566	−	13.6582i	−1.73927	−	1.00417i
$186$	−0.423738	+	0.150515i	−0.0310700	+	0.0110363i
$187$	1.90877	−	7.12363i	0.139583	−	0.520932i
$188$	2.22895	−	2.22895i	0.162563	−	0.162563i
$189$	9.08840	−	10.3151i	0.661084	−	0.750312i
$190$	10.5705	−	10.5705i	0.766866	−	0.766866i
$191$	21.1482	−	12.2099i	1.53023	−	0.883478i	0.530877	−	0.847449i	$-0.321862\pi$
$191$	21.1482	−	12.2099i	1.53023	−	0.883478i	0.999351	−	0.0360289i	$-0.0114708\pi$
$192$	−0.191805	−	0.539981i	−0.0138424	−	0.0389698i
$193$	−1.59054	−	5.93597i	−0.114489	−	0.427280i	0.884759	−	0.466049i	$-0.154323\pi$
$193$	−1.59054	−	5.93597i	−0.114489	−	0.427280i	−0.999248	+	0.0387689i	$0.987656\pi$
$194$	−2.91744	−	5.05316i	−0.209460	−	0.362796i
$195$	13.7639	−	13.5729i	0.985653	−	0.971973i
$196$	−7.11123	−	8.50425i	−0.507945	−	0.607447i
$197$	−8.95222	+	8.95222i	−0.637819	+	0.637819i	−0.950017	−	0.312198i	$-0.898935\pi$
$197$	−8.95222	+	8.95222i	−0.637819	+	0.637819i	0.312198	+	0.950017i	$0.398935\pi$
$198$	2.78492	−	2.26412i	0.197915	−	0.160904i
$199$	−3.19003	−	1.84177i	−0.226135	−	0.130559i	0.382653	−	0.923892i	$-0.375011\pi$
$199$	−3.19003	−	1.84177i	−0.226135	−	0.130559i	−0.608788	+	0.793333i	$0.708344\pi$
$200$	2.74174	+	10.2323i	0.193870	+	0.723533i
$201$	4.93656	−	3.39984i	0.348198	−	0.239806i
$202$	−4.59955	+	4.59955i	−0.323623	+	0.323623i
$203$	4.06632	−	22.9468i	0.285400	−	1.61055i
$204$	−7.07758	+	8.30303i	−0.495529	+	0.581328i
$205$	27.6857	−	15.9843i	1.93365	−	1.11639i
$206$	−9.34420	+	2.50377i	−0.651042	+	0.174446i
$207$	−7.25770	−	2.76987i	−0.504445	−	0.192519i
$208$	−5.67779	−	2.06159i	−0.393684	−	0.142945i
$209$		−	13.8781i		−	0.959967i
$210$	−8.57328	−	3.20430i	−0.591613	−	0.221118i
$211$	18.0624			1.24346			0.621732	−	0.783230i	$-0.286429\pi$
$211$	18.0624			1.24346			0.621732	+	0.783230i	$0.286429\pi$
$212$	−1.33902	−	2.31926i	−0.0919646	−	0.159287i
$213$	2.04621	−	4.30067i	0.140204	−	0.294677i
$214$	0.106235	−	0.0284655i	0.00726206	−	0.00194586i
$215$	1.72604	−	6.44168i	0.117715	−	0.439319i
$216$	−11.6750	+	2.83879i	−0.794384	+	0.193155i
$217$	1.06058	−	0.0918774i	0.0719970	−	0.00623704i
$218$	9.39431			0.636263
$219$	−0.918092	−	1.33307i	−0.0620389	−	0.0900803i
$220$	7.87144	+	4.54458i	0.530692	+	0.306395i
$221$	−2.50119	−	14.1212i	−0.168248	−	0.949896i
$222$	−9.69922	−	1.78794i	−0.650969	−	0.119999i
$223$	−2.78290	−	2.78290i	−0.186357	−	0.186357i	0.607762	−	0.794119i	$-0.292067\pi$
$223$	−2.78290	−	2.78290i	−0.186357	−	0.186357i	−0.794119	+	0.607762i	$0.792067\pi$
$224$	1.30285	+	15.0394i	0.0870502	+	1.00486i
$225$	13.5703	−	2.17625i	0.904684	−	0.145083i
$226$	−0.298360	+	1.11350i	−0.0198466	+	0.0740686i
$227$	2.81204	+	10.4947i	0.186642	+	0.696557i	0.994273	+	0.106869i	$0.0340826\pi$
$227$	2.81204	+	10.4947i	0.186642	+	0.696557i	−0.807631	+	0.589688i	$0.799251\pi$
$228$	−8.82077	+	18.5393i	−0.584170	+	1.22779i
$229$	−2.58390	−	0.692354i	−0.170749	−	0.0457520i	0.172432	−	0.985021i	$-0.444838\pi$
$229$	−2.58390	−	0.692354i	−0.170749	−	0.0457520i	−0.343181	+	0.939269i	$0.611504\pi$
$230$			5.17173i			0.341014i
$231$	−7.73142	+	3.52448i	−0.508690	+	0.231894i
$232$	−14.4019	+	14.4019i	−0.945532	+	0.945532i
$233$	−7.66251	−	13.2719i	−0.501988	−	0.869468i	−0.999997	−	0.00229662i	$-0.999269\pi$
$233$	−7.66251	−	13.2719i	−0.501988	−	0.869468i	0.498010	−	0.867171i	$-0.334064\pi$
$234$	3.04255	−	6.28124i	0.198898	−	0.410618i
$235$	−3.08058	+	5.33572i	−0.200955	+	0.348064i
$236$	−11.4329	−	3.06343i	−0.744216	−	0.199412i
$237$	2.19829	+	1.87384i	0.142794	+	0.121719i
$238$	−5.56547	+	3.88992i	−0.360756	+	0.252146i
$239$	1.25299	−	1.25299i	0.0810494	−	0.0810494i	−0.665420	−	0.746469i	$-0.731747\pi$
$239$	1.25299	−	1.25299i	0.0810494	−	0.0810494i	0.746469	+	0.665420i	$0.231747\pi$
$240$	−5.09460	−	7.39735i	−0.328855	−	0.477497i
$241$	3.66827	+	13.6902i	0.236294	+	0.881861i	0.977561	+	0.210651i	$0.0675585\pi$
$241$	3.66827	+	13.6902i	0.236294	+	0.881861i	−0.741267	+	0.671210i	$0.765775\pi$
$242$	4.71308	−	1.26287i	0.302968	−	0.0811801i
$243$	2.10945	+	15.4451i	0.135321	+	0.990802i
$244$		−	1.32432i		−	0.0847811i
$245$	17.7277	+	12.4582i	1.13258	+	0.795926i
$246$	7.48769	−	8.78415i	0.477397	−	0.560057i
$247$	−11.4240	−	24.4496i	−0.726891	−	1.55569i
$248$	−0.805745	−	0.465197i	−0.0511649	−	0.0295400i
$249$	10.8001	−	22.6994i	0.684430	−	1.43852i
$250$	0.418204	+	0.724351i	0.0264496	+	0.0458120i
$251$	6.75701			0.426499			0.213249	−	0.976998i	$-0.431595\pi$
$251$	6.75701			0.426499			0.213249	+	0.976998i	$0.431595\pi$
$252$	12.5683	+	0.205775i	0.791727	+	0.0129626i
$253$	3.39499	+	3.39499i	0.213441	+	0.213441i
$254$	−0.825916	+	3.08236i	−0.0518226	+	0.193405i
$255$	9.16182	−	19.2561i	0.573735	−	1.20586i
$256$	3.94347	−	6.83029i	0.246467	−	0.426893i
$257$	−2.25344	−	3.90308i	−0.140566	−	0.243467i	0.787144	−	0.616769i	$-0.211559\pi$
$257$	−2.25344	−	3.90308i	−0.140566	−	0.243467i	−0.927710	+	0.373302i	$0.878225\pi$
$258$	−0.191239	−	2.40023i	−0.0119060	−	0.149432i
$259$	21.1526	+	9.88558i	1.31436	+	0.614260i
$260$	17.6084	+	1.52684i	1.09202	+	0.0946909i
$261$	16.6692	+	20.5035i	1.03180	+	1.26914i
$262$	−9.90425	+	2.65384i	−0.611887	+	0.163955i
$263$	−19.3371	−	11.1643i	−1.19237	−	0.688418i	−0.233530	−	0.972350i	$-0.575028\pi$
$263$	−19.3371	−	11.1643i	−1.19237	−	0.688418i	−0.958844	+	0.283932i	$0.908361\pi$
$264$	7.30302	+	1.34623i	0.449470	+	0.0828545i
$265$	3.70127	+	3.70127i	0.227367	+	0.227367i
$266$	−8.22164	+	9.78121i	−0.504101	+	0.599725i
$267$	0.175720	+	2.20545i	0.0107539	+	0.134972i
$268$	5.29378	+	1.41847i	0.323369	+	0.0866466i
$269$	5.45550	+	3.14973i	0.332628	+	0.192043i	0.657007	−	0.753884i	$-0.271822\pi$
$269$	5.45550	+	3.14973i	0.332628	+	0.192043i	−0.324380	+	0.945927i	$0.605155\pi$
$270$	9.10594	−	4.97840i	0.554170	−	0.302976i
$271$	7.65925	+	2.05229i	0.465267	+	0.124668i	0.483834	−	0.875160i	$-0.339244\pi$
$271$	7.65925	+	2.05229i	0.465267	+	0.124668i	−0.0185674	+	0.999828i	$0.505911\pi$
$272$	−6.66360			−0.404040
$273$	−10.7195	+	12.5735i	−0.648774	+	0.760981i
$274$	−0.860354			−0.0519759
$275$	−8.20492	−	2.19850i	−0.494775	−	0.132575i
$276$	−2.37744	−	6.69308i	−0.143105	−	0.402876i
$277$	16.4162	+	9.47790i	0.986354	+	0.569472i	0.904182	−	0.427146i	$-0.140481\pi$
$277$	16.4162	+	9.47790i	0.986354	+	0.569472i	0.0821715	+	0.996618i	$0.473814\pi$
$278$	11.5030	+	3.08222i	0.689905	+	0.184860i
$279$	−0.707619	+	0.977928i	−0.0423640	+	0.0585470i
$280$	−6.46161	−	17.8003i	−0.386155	−	1.06377i
$281$	−12.9356	−	12.9356i	−0.771675	−	0.771675i	0.206724	−	0.978399i	$-0.433720\pi$
$281$	−12.9356	−	12.9356i	−0.771675	−	0.771675i	−0.978399	+	0.206724i	$0.933720\pi$
$282$	−0.403268	+	2.18765i	−0.0240142	+	0.130273i
$283$	2.79399	+	1.61311i	0.166085	+	0.0958894i	0.580739	−	0.814090i	$-0.302764\pi$
$283$	2.79399	+	1.61311i	0.166085	+	0.0958894i	−0.414653	+	0.909979i	$0.636097\pi$
$284$	4.20624	−	1.12706i	0.249594	−	0.0668786i
$285$	7.27463	−	39.4634i	0.430912	−	2.33761i
$286$	−3.30229	+	2.77529i	−0.195268	+	0.164106i
$287$	−22.3968	+	15.6540i	−1.32204	+	0.924026i
$288$	−13.8673	−	10.0342i	−0.817139	−	0.591274i
$289$	0.589812	+	1.02158i	0.0346948	+	0.0600932i
$290$	8.79606	−	15.2352i	0.516522	−	0.894643i
$291$	−14.1436	−	6.72937i	−0.829113	−	0.394483i
$292$	0.383042	−	1.42953i	0.0224158	−	0.0836571i
$293$	20.3414	+	20.3414i	1.18836	+	1.18836i	0.977521	+	0.210839i	$0.0676194\pi$
$293$	20.3414	+	20.3414i	1.18836	+	1.18836i	0.210839	+	0.977521i	$0.432381\pi$
$294$	7.53704	+	2.09620i	0.439569	+	0.122253i
$295$	23.1344			1.34694
$296$	−10.2030	−	17.6722i	−0.593040	−	1.02718i
$297$	2.70953	−	9.24570i	0.157223	−	0.536490i
$298$	−0.437906	−	0.252825i	−0.0253672	−	0.0146458i
$299$	8.77574	+	3.18644i	0.507514	+	0.184277i
$300$	9.56333	+	8.15187i	0.552139	+	0.470648i
$301$	−0.994626	+	5.61280i	−0.0573293	+	0.323517i
$302$		−	6.98772i		−	0.402098i
$303$	−3.16541	+	17.1717i	−0.181848	+	0.986489i
$304$	−12.1122	+	3.24546i	−0.694684	+	0.186140i
$305$	0.669942	+	2.50026i	0.0383608	+	0.143164i
$306$	0.789976	−	7.65865i	0.0451599	−	0.437816i
$307$	4.08808	−	4.08808i	0.233319	−	0.233319i	−0.580758	−	0.814077i	$-0.697244\pi$
$307$	4.08808	−	4.08808i	0.233319	−	0.233319i	0.814077	+	0.580758i	$0.197244\pi$
$308$	−7.03825	−	3.28930i	−0.401042	−	0.187425i
$309$	−16.8457	+	19.7625i	−0.958321	+	1.12425i
$310$	0.776236	+	0.207992i	0.0440872	+	0.0118131i
$311$	−12.4960	+	21.6436i	−0.708581	+	1.22730i	0.256802	+	0.966464i	$0.417331\pi$
$311$	−12.4960	+	21.6436i	−0.708581	+	1.22730i	−0.965383	+	0.260835i	$0.916002\pi$
$312$	13.9742	−	3.63991i	0.791132	−	0.206069i
$313$	−7.08592	−	12.2732i	−0.400520	−	0.693720i	0.593269	−	0.805004i	$-0.297837\pi$
$313$	−7.08592	−	12.2732i	−0.400520	−	0.693720i	−0.993789	+	0.111284i	$0.964504\pi$
$314$	6.03458	−	6.03458i	0.340551	−	0.340551i
$315$	−23.8324	+	5.96948i	−1.34280	+	0.336342i
$316$			2.64109i			0.148573i
$317$	15.1544	+	4.06062i	0.851158	+	0.228067i	0.657923	−	0.753085i	$-0.271435\pi$
$317$	15.1544	+	4.06062i	0.851158	+	0.228067i	0.193235	+	0.981152i	$0.438102\pi$
$318$	1.70657	+	0.811968i	0.0956999	+	0.0455329i
$319$	−4.22700	−	15.7754i	−0.236667	−	0.883252i
$320$	−0.265049	+	0.989178i	−0.0148167	+	0.0552967i
$321$	0.191520	−	0.224681i	0.0106896	−	0.0125405i
$322$	−0.381518	−	4.40404i	−0.0212612	−	0.245427i
$323$	−21.0510	−	21.0510i	−1.17131	−	1.17131i
$324$	−9.49605	+	10.6289i	−0.527558	+	0.590493i
$325$	−16.2647	+	2.88084i	−0.902201	+	0.159800i
$326$	−2.47118	−	1.42674i	−0.136866	−	0.0790196i
$327$	20.7687	−	14.3035i	1.14851	−	0.790988i
$328$	23.8816			1.31864
$329$	2.22968	−	4.77094i	0.122926	−	0.263030i
$330$	−6.39392	+	0.509438i	−0.351974	+	0.0280436i
$331$	−2.53446	+	9.45875i	−0.139307	+	0.519900i	0.860636	+	0.509220i	$0.170066\pi$
$331$	−2.53446	+	9.45875i	−0.139307	+	0.519900i	−0.999943	+	0.0106796i	$0.996601\pi$
$332$	22.2010	−	5.94875i	1.21844	−	0.326480i
$333$	−24.1651	+	10.8151i	−1.32424	+	0.592661i
$334$	−6.85421	−	11.8718i	−0.375046	−	0.649598i
$335$	−10.7120			−0.585257
$336$	4.88406	+	5.92345i	0.266447	+	0.323151i
$337$			10.9367i			0.595763i	0.954603	+	0.297881i	$0.0962800\pi$
$337$			10.9367i			0.595763i	−0.954603	+	0.297881i	$0.903720\pi$
$338$	−3.53324	+	7.60767i	−0.192183	+	0.413803i
$339$	1.03577	+	2.91596i	0.0562554	+	0.158373i
$340$	18.8333	−	5.04636i	1.02138	−	0.273678i
$341$	0.646098	−	0.373025i	0.0349882	−	0.0202004i
$342$	−2.29418	−	14.3057i	−0.124055	−	0.773562i
$343$	−16.0153	−	9.30114i	−0.864743	−	0.502214i
$344$	3.52272	−	3.52272i	0.189932	−	0.189932i
$345$	7.87434	+	11.4335i	0.423940	+	0.615560i
$346$	0.239013	+	0.892009i	0.0128494	+	0.0479547i
$347$	−8.21419	−	4.74247i	−0.440961	−	0.254589i	0.263044	−	0.964784i	$-0.415273\pi$
$347$	−8.21419	−	4.74247i	−0.440961	−	0.254589i	−0.704005	+	0.710195i	$0.748607\pi$
$348$	−4.37996	+	23.7605i	−0.234791	+	1.27369i
$349$	−16.6668	+	16.6668i	−0.892155	+	0.892155i	−0.994726	−	0.102571i	$-0.967293\pi$
$349$	−16.6668	+	16.6668i	−0.892155	+	0.892155i	0.102571	+	0.994726i	$0.467293\pi$
$350$	4.48036	+	6.41025i	0.239485	+	0.342642i
$351$	−2.83727	−	18.5189i	−0.151442	−	0.988466i
$352$	5.28961	+	9.16187i	0.281937	+	0.488329i
$353$	6.45969	+	24.1079i	0.343815	+	1.28313i	0.893991	+	0.448085i	$0.147894\pi$
$353$	6.45969	+	24.1079i	0.343815	+	1.28313i	−0.550176	+	0.835049i	$0.685439\pi$
$354$	7.87094	−	2.79582i	0.418336	−	0.148596i
$355$	−7.37102	+	4.25566i	−0.391213	+	0.225867i
$356$	−1.43041	+	1.43041i	−0.0758115	+	0.0758115i
$357$	−6.38132	+	17.0736i	−0.337735	+	0.903629i
$358$	1.36238	−	1.36238i	0.0720040	−	0.0720040i
$359$	−8.76540	+	32.7129i	−0.462620	+	1.72652i	0.202041	+	0.979377i	$0.435243\pi$
$359$	−8.76540	+	32.7129i	−0.462620	+	1.72652i	−0.664661	+	0.747145i	$0.731424\pi$
$360$	20.0610	+	7.65621i	1.05731	+	0.403517i
$361$	−32.0621	−	18.5111i	−1.68748	−	0.974268i
$362$	0.0233120	−	0.0870017i	0.00122525	−	0.00457271i
$363$	8.49674	−	9.96792i	0.445963	−	0.523180i
$364$	−15.1072	−	0.00123103i	−0.791833	−	6.45235e-5i
$365$			2.89266i			0.151409i
$366$	0.530092	+	0.769692i	0.0277083	+	0.0402324i
$367$	−7.99630	+	13.8500i	−0.417404	+	0.722964i	−0.995677	−	0.0928784i	$-0.970393\pi$
$367$	−7.99630	+	13.8500i	−0.417404	+	0.722964i	0.578274	+	0.815843i	$0.303727\pi$
$368$	2.16908	−	3.75695i	0.113071	−	0.195845i
$369$	3.17906	−	30.8203i	0.165495	−	1.60444i
$370$	12.4632	+	12.4632i	0.647928	+	0.647928i
$371$	−3.42489	−	2.87881i	−0.177812	−	0.149460i
$372$	−1.10019	+	0.0876582i	−0.0570423	+	0.00454487i
$373$	3.92668	+	6.80121i	0.203316	+	0.352153i	0.949595	−	0.313480i	$-0.101495\pi$
$373$	3.92668	+	6.80121i	0.203316	+	0.352153i	−0.746279	+	0.665633i	$0.768162\pi$
$374$	−2.37930	+	4.12106i	−0.123031	+	0.213095i
$375$	2.02743	+	0.964629i	0.104696	+	0.0498132i
$376$	−3.98594	+	2.30129i	−0.205559	+	0.118680i
$377$	−20.4327	−	24.3126i	−1.05234	−	1.25216i
$378$	−7.38700	+	4.91115i	−0.379946	+	0.252602i
$379$	16.0108	+	16.0108i	0.822421	+	0.822421i	0.986455	−	0.164033i	$-0.0524505\pi$
$379$	16.0108	+	16.0108i	0.822421	+	0.822421i	−0.164033	+	0.986455i	$0.552450\pi$
$380$	31.7749	−	18.3453i	1.63002	−	0.941092i
$381$	2.86721	+	8.07192i	0.146892	+	0.413537i
$382$	−15.2197	+	4.07811i	−0.778709	+	0.208654i
$383$	9.44161	+	2.52987i	0.482444	+	0.129270i	0.491840	−	0.870685i	$-0.336324\pi$
$383$	9.44161	+	2.52987i	0.482444	+	0.129270i	−0.00939643	+	0.999956i	$0.502991\pi$
$384$	−1.54043	−	19.3339i	−0.0786099	−	0.986628i
$385$	14.9518	+	2.64957i	0.762017	+	0.135034i
$386$			3.96523i			0.201825i
$387$	−4.07731	−	5.01518i	−0.207261	−	0.254936i
$388$	−3.70656	−	13.8331i	−0.188172	−	0.702268i
$389$	11.6099	−	20.1089i	0.588645	−	1.01956i	−0.405765	−	0.913977i	$-0.632995\pi$
$389$	11.6099	−	20.1089i	0.588645	−	1.01956i	0.994410	−	0.105585i	$-0.0336717\pi$
$390$	−10.8451	+	6.16077i	−0.549161	+	0.311962i
$391$	10.2994			0.520864
$392$	6.81557	+	14.6814i	0.344238	+	0.741522i
$393$	−17.8554	+	20.9470i	−0.900686	+	1.05664i
$394$	7.07452	−	4.08448i	0.356409	−	0.205773i
$395$	−1.33606	−	4.98625i	−0.0672246	−	0.250886i
$396$	8.04062	−	3.59857i	0.404056	−	0.180835i
$397$	−25.1343	−	6.73471i	−1.26145	−	0.338005i	−0.434702	−	0.900574i	$-0.643146\pi$
$397$	−25.1343	−	6.73471i	−1.26145	−	0.338005i	−0.826750	+	0.562569i	$0.809813\pi$
$398$	1.68062	+	1.68062i	0.0842420	+	0.0842420i
$399$	−3.28356	+	34.1421i	−0.164384	+	1.70924i
$400$			7.67505i			0.383753i
$401$	1.66353	−	6.20836i	0.0830725	−	0.310031i	−0.911870	−	0.410480i	$-0.865361\pi$
$401$	1.66353	−	6.20836i	0.0830725	−	0.310031i	0.994942	+	0.100449i	$0.0320279\pi$
$402$	−3.64450	+	1.29456i	−0.181771	+	0.0645665i
$403$	0.831194	−	1.18902i	0.0414047	−	0.0592293i
$404$	−13.8262	+	7.98257i	−0.687880	+	0.397148i
$405$	12.5512	−	24.8706i	0.623674	−	1.23583i
$406$	−6.36647	+	13.6226i	−0.315962	+	0.676077i
$407$	16.3629			0.811080
$408$	13.1196	−	9.03559i	0.649519	−	0.447328i
$409$	4.91381	−	1.31665i	0.242972	−	0.0651043i	−0.135278	−	0.990808i	$-0.543193\pi$
$409$	4.91381	−	1.31665i	0.242972	−	0.0651043i	0.378250	+	0.925703i	$0.376526\pi$
$410$	−19.9246	+	5.33878i	−0.984005	+	0.263663i
$411$	−1.90205	+	1.30995i	−0.0938211	+	0.0646152i
$412$	−23.7433			−1.16975
$413$	−19.7003	+	1.70662i	−0.969389	+	0.0839774i
$414$	4.06082	+	2.93837i	0.199578	+	0.144413i
$415$	−38.9051	+	22.4619i	−1.90978	+	1.10261i
$416$	16.8607	+	11.7866i	0.826662	+	0.577885i
$417$	30.1235	−	10.7001i	1.47515	−	0.523986i
$418$	−2.31764	+	8.64956i	−0.113360	+	0.423064i
$419$			30.1187i			1.47140i	0.677310	+	0.735698i	$0.263146\pi$
$419$			30.1187i			1.47140i	−0.677310	+	0.735698i	$0.736854\pi$
$420$	−18.2896	−	13.0427i	−0.892443	−	0.636419i
$421$	15.4295	+	15.4295i	0.751987	+	0.751987i	0.974850	−	0.222863i	$-0.0715402\pi$
$421$	15.4295	+	15.4295i	0.751987	+	0.751987i	−0.222863	+	0.974850i	$0.571540\pi$
$422$	−11.2574	−	3.01642i	−0.548003	−	0.146837i
$423$	2.43932	+	5.45040i	0.118604	+	0.265008i
$424$	1.01204	+	3.77700i	0.0491492	+	0.183427i
$425$	−15.7805	+	9.11086i	−0.765465	+	0.441942i
$426$	−1.99352	+	2.33869i	−0.0965863	+	0.113310i
$427$	−0.754939	−	2.07970i	−0.0365341	−	0.100644i
$428$	0.269939			0.0130480
$429$	−3.07502	+	11.1635i	−0.148463	+	0.538980i
$430$	−2.15152	+	3.72655i	−0.103756	+	0.179710i
$431$	4.94565	+	18.4574i	0.238224	+	0.889063i	0.976669	+	0.214750i	$0.0688936\pi$
$431$	4.94565	+	18.4574i	0.238224	+	0.889063i	−0.738445	+	0.674313i	$0.764440\pi$
$432$	−8.70291	−	0.202617i	−0.418719	−	0.00974839i
$433$			5.12853i			0.246462i	0.992378	+	0.123231i	$0.0393256\pi$
$433$			5.12853i			0.246462i	−0.992378	+	0.123231i	$0.960674\pi$
$434$	−0.676355	−	0.119855i	−0.0324661	−	0.00575320i
$435$	−3.75066	−	47.0743i	−0.179830	−	2.25704i
$436$	22.2716	+	5.96766i	1.06662	+	0.285799i
$437$	18.7210	−	5.01627i	0.895545	−	0.239961i
$438$	0.349581	+	0.984160i	0.0167036	+	0.0470250i
$439$	4.82999	−	2.78860i	0.230523	−	0.133093i	−0.380290	−	0.924867i	$-0.624176\pi$
$439$	4.82999	−	2.78860i	0.230523	−	0.133093i	0.610813	+	0.791775i	$0.290843\pi$
$440$	−9.38411	−	9.38411i	−0.447370	−	0.447370i
$441$	19.8543	−	6.84148i	0.945444	−	0.325785i
$442$	−0.799375	+	9.21880i	−0.0380224	+	0.438494i
$443$	6.08649	−	3.51404i	0.289178	−	0.166957i	−0.348393	−	0.937349i	$-0.613273\pi$
$443$	6.08649	−	3.51404i	0.289178	−	0.166957i	0.637571	+	0.770392i	$0.279939\pi$
$444$	−21.8587	−	10.4001i	−1.03737	−	0.493567i
$445$	1.97693	−	3.42415i	0.0937156	−	0.162320i
$446$	1.26971	+	2.19920i	0.0601224	+	0.104135i
$447$	−1.35306	+	0.107805i	−0.0639974	+	0.00509901i
$448$	0.152734	−	0.861896i	0.00721599	−	0.0407208i
$449$	−0.494694	−	0.494694i	−0.0233460	−	0.0233460i	0.695337	−	0.718683i	$-0.255255\pi$
$449$	−0.494694	−	0.494694i	−0.0233460	−	0.0233460i	−0.718683	+	0.695337i	$0.755255\pi$
$450$	−8.82115	−	0.909885i	−0.415833	−	0.0428924i
$451$	−9.57489	+	16.5842i	−0.450864	+	0.780919i
$452$	−1.41468	+	2.45029i	−0.0665408	+	0.115252i
$453$	−10.6393	−	15.4483i	−0.499879	−	0.725823i
$454$		−	7.01046i		−	0.329017i
$455$	28.5223	−	7.64003i	1.33715	−	0.358170i
$456$	19.4465	−	22.8136i	0.910665	−	1.06834i
$457$	−5.38209	+	20.0862i	−0.251763	+	0.939594i	0.718099	+	0.695941i	$0.245013\pi$
$457$	−5.38209	+	20.0862i	−0.251763	+	0.939594i	−0.969862	+	0.243653i	$0.921654\pi$
$458$	1.49480	+	0.863024i	0.0698475	+	0.0403265i
$459$	−9.91441	−	18.1343i	−0.462765	−	0.846439i
$460$	−3.28530	+	12.2609i	−0.153178	+	0.571667i
$461$	28.9822	−	28.9822i	1.34984	−	1.34984i	0.464005	−	0.885833i	$-0.346412\pi$
$461$	28.9822	−	28.9822i	1.34984	−	1.34984i	0.885833	−	0.464005i	$-0.153588\pi$
$462$	5.40722	−	0.905496i	0.251567	−	0.0421275i
$463$	−0.922226	+	0.922226i	−0.0428595	+	0.0428595i	−0.728212	−	0.685352i	$-0.759648\pi$
$463$	−0.922226	+	0.922226i	−0.0428595	+	0.0428595i	0.685352	+	0.728212i	$0.259648\pi$
$464$	−12.7796	+	7.37831i	−0.593279	+	0.342530i
$465$	2.03276	−	0.722054i	0.0942672	−	0.0334844i
$466$	2.55928	+	9.55137i	0.118556	+	0.442459i
$467$	10.6300	+	18.4117i	0.491896	+	0.851990i	0.999956	−	0.00933199i	$-0.00297051\pi$
$467$	10.6300	+	18.4117i	0.491896	+	0.851990i	−0.508060	+	0.861322i	$0.669637\pi$
$468$	11.2032	−	12.9585i	0.517870	−	0.599008i
$469$	9.12188	−	0.790222i	0.421209	−	0.0364890i
$470$	2.81105	−	2.81105i	0.129664	−	0.129664i
$471$	4.15299	−	22.5292i	0.191360	−	1.03809i
$472$	14.9667	+	8.64104i	0.688899	+	0.397736i
$473$	1.03393	+	3.85867i	0.0475401	+	0.177422i
$474$	−1.05716	−	1.53499i	−0.0485569	−	0.0705045i
$475$	−24.2463	+	24.2463i	−1.11250	+	1.11250i
$476$	−15.6654	+	5.68661i	−0.718022	+	0.260645i
$477$	5.00913	−	0.803308i	0.229352	−	0.0367809i
$478$	−0.990183	+	0.571682i	−0.0452899	+	0.0261481i
$479$	−24.4865	+	6.56115i	−1.11882	+	0.299786i	−0.770405	−	0.637555i	$-0.779946\pi$
$479$	−24.4865	+	6.56115i	−1.11882	+	0.299786i	−0.348413	+	0.937341i	$0.613279\pi$
$480$	10.2389	+	28.8252i	0.467342	+	1.31568i
$481$	28.8272	−	13.4694i	1.31441	−	0.614153i
$482$		−	9.14505i		−	0.416546i
$483$	−7.54892	−	9.15544i	−0.343488	−	0.416587i
$484$	11.9758			0.544353
$485$	13.9956	+	24.2411i	0.635508	+	1.10073i
$486$	1.26461	−	9.97847i	0.0573639	−	0.452633i
$487$	14.2676	−	3.82300i	0.646528	−	0.173237i	0.0793695	−	0.996845i	$-0.474709\pi$
$487$	14.2676	−	3.82300i	0.646528	−	0.173237i	0.567159	+	0.823609i	$0.308043\pi$
$488$	−0.500467	+	1.86777i	−0.0226551	+	0.0845499i
$489$	−7.63553	+	0.608363i	−0.345290	+	0.0275111i
$490$	−8.96835	−	10.7252i	−0.405149	−	0.484514i
$491$	26.0161			1.17409			0.587045	−	0.809554i	$-0.300291\pi$
$491$	26.0161			1.17409			0.587045	+	0.809554i	$0.300291\pi$
$492$	23.3315	−	16.0686i	1.05187	−	0.724427i
$493$	−30.3407	−	17.5172i	−1.36648	−	0.788936i
$494$	3.03696	+	17.1461i	0.136639	+	0.771439i
$495$	−13.3599	+	10.8615i	−0.600481	+	0.488187i
$496$	−0.476655	−	0.476655i	−0.0214024	−	0.0214024i
$497$	5.96293	−	4.16771i	0.267474	−	0.186947i
$498$	−10.5220	+	12.3439i	−0.471503	+	0.553142i
$499$	6.15815	−	22.9825i	0.275677	−	1.02884i	−0.679710	−	0.733481i	$-0.737894\pi$
$499$	6.15815	−	22.9825i	0.275677	−	1.02884i	0.955387	−	0.295358i	$-0.0954389\pi$
$500$	0.531322	+	1.98292i	0.0237614	+	0.0886788i
$501$	−33.2289	−	15.8099i	−1.48456	−	0.706334i
$502$	−4.21133	−	1.12842i	−0.187961	−	0.0503640i
$503$			2.48652i			0.110868i	0.998462	+	0.0554342i	$0.0176543\pi$
$503$			2.48652i			0.110868i	−0.998462	+	0.0554342i	$0.982346\pi$
$504$	−17.6480	−	5.03981i	−0.786103	−	0.224491i
$505$	22.0650	−	22.0650i	0.981881	−	0.981881i
$506$	−1.54898	−	2.68291i	−0.0688604	−	0.119270i
$507$	3.77206	+	22.1985i	0.167523	+	0.985868i
$508$	−3.91609	+	6.78286i	−0.173748	+	0.300941i
$509$	−35.4437	−	9.49712i	−1.57102	−	0.420953i	−0.634886	−	0.772606i	$-0.718953\pi$
$509$	−35.4437	−	9.49712i	−1.57102	−	0.420953i	−0.936130	+	0.351653i	$0.885620\pi$
$510$	−8.92591	+	10.4714i	−0.395246	+	0.463681i
$511$	−0.213391	−	2.46327i	−0.00943987	−	0.108969i
$512$	12.2376	−	12.2376i	0.540832	−	0.540832i
$513$	−26.8534	−	28.1335i	−1.18560	−	1.24213i
$514$	0.752651	+	2.80893i	0.0331980	+	0.123897i
$515$	44.8262	−	12.0111i	1.97528	−	0.529274i
$516$	1.07134	−	5.81183i	0.0471633	−	0.255852i
$517$		−	3.69064i		−	0.162314i
$518$	−11.5325	−	9.69371i	−0.506710	−	0.425917i
$519$	1.88655	+	1.60811i	0.0828105	+	0.0705884i
$520$	−24.2571	−	8.80766i	−1.06374	−	0.386241i
$521$	12.9293	+	7.46476i	0.566445	+	0.327037i	0.755728	−	0.654886i	$-0.227283\pi$
$521$	12.9293	+	7.46476i	0.566445	+	0.327037i	−0.189283	+	0.981922i	$0.560616\pi$
$522$	−6.96506	−	15.5627i	−0.304852	−	0.681159i
$523$	13.8251	+	23.9457i	0.604528	+	1.04707i	0.992126	+	0.125245i	$0.0399716\pi$
$523$	13.8251	+	23.9457i	0.604528	+	1.04707i	−0.387598	+	0.921829i	$0.626695\pi$
$524$	−25.1664			−1.09940
$525$	19.6651	+	7.34992i	0.858257	+	0.320777i
$526$	10.1875	+	10.1875i	0.444194	+	0.444194i
$527$	0.414212	−	1.54586i	0.0180434	−	0.0673388i
$528$	4.85846	+	2.31160i	0.211437	+	0.100599i
$529$	8.14742	−	14.1117i	0.354236	−	0.613554i
$530$	−1.68872	−	2.92494i	−0.0733531	−	0.127051i
$531$	13.1440	−	18.1650i	0.570402	−	0.788294i
$532$	−25.7049	+	17.9661i	−1.11445	+	0.778930i
$533$	−3.21688	+	37.0987i	−0.139339	+	1.60693i
$534$	0.258793	−	1.40390i	0.0111991	−	0.0607528i
$535$	−0.509632	+	0.136555i	−0.0220333	+	0.00590380i
$536$	−6.93008	−	4.00108i	−0.299334	−	0.172820i
$537$	0.937589	−	5.08624i	0.0404600	−	0.219487i
$538$	−2.87415	−	2.87415i	−0.123913	−	0.123913i
$539$	−12.9278	−	1.15327i	−0.556842	−	0.0496747i
$540$	24.7504	−	6.01809i	1.06509	−	0.258977i
$541$	−13.1030	−	3.51093i	−0.563341	−	0.150947i	−0.0341003	−	0.999418i	$-0.510857\pi$
$541$	−13.1030	−	3.51093i	−0.563341	−	0.150947i	−0.529241	+	0.848472i	$0.677523\pi$
$542$	−4.43092	−	2.55819i	−0.190324	−	0.109884i
$543$	−0.0809289	−	0.227835i	−0.00347299	−	0.00977735i
$544$	21.9208	+	5.87366i	0.939846	+	0.251831i
$545$	−45.0666			−1.93044
$546$	8.78074	−	6.04630i	0.375781	−	0.258758i
$547$	−5.81433			−0.248603			−0.124301	−	0.992245i	$-0.539669\pi$
$547$	−5.81433			−0.248603			−0.124301	+	0.992245i	$0.539669\pi$
$548$	−2.03969	−	0.546533i	−0.0871311	−	0.0233467i
$549$	2.34382	+	0.894510i	0.100032	+	0.0381768i
$550$	4.74659	+	2.74045i	0.202395	+	0.116853i
$551$	−63.6811	−	17.0633i	−2.71291	−	0.726921i
$552$	0.823689	+	10.3381i	0.0350585	+	0.440017i
$553$	1.50557	+	4.14753i	0.0640235	+	0.176371i
$554$	−8.64864	−	8.64864i	−0.367446	−	0.367446i
$555$	46.5293	+	8.57713i	1.97506	+	0.364079i
$556$	25.3129	+	14.6144i	1.07350	+	0.619788i
$557$	22.3726	−	5.99473i	0.947959	−	0.254005i	0.248463	−	0.968641i	$-0.420074\pi$
$557$	22.3726	−	5.99473i	0.947959	−	0.254005i	0.699496	+	0.714636i	$0.253408\pi$
$558$	0.604340	−	0.491324i	0.0255838	−	0.0207994i
$559$	4.99785	+	5.94688i	0.211386	+	0.251526i
$560$	−1.18413	−	13.6690i	−0.0500388	−	0.577620i
$561$	1.01454	+	12.7334i	0.0428338	+	0.537604i
$562$	5.90192	+	10.2224i	0.248958	+	0.431207i
$563$	12.0866	−	20.9346i	0.509390	−	0.882289i	−0.490551	−	0.871413i	$-0.663204\pi$
$563$	12.0866	−	20.9346i	0.509390	−	0.882289i	0.999941	−	0.0108767i	$-0.00346222\pi$
$564$	−2.34573	+	4.93020i	−0.0987732	+	0.207599i
$565$	1.43130	−	5.34168i	0.0602152	−	0.224726i
$566$	−1.47197	−	1.47197i	−0.0618717	−	0.0618717i
$567$	−8.85339	+	22.1047i	−0.371807	+	0.928310i
$568$	−6.35822			−0.266785
$569$	13.0759	+	22.6482i	0.548172	+	0.949462i	0.998400	+	0.0565482i	$0.0180095\pi$
$569$	13.0759	+	22.6482i	0.548172	+	0.949462i	−0.450228	+	0.892914i	$0.648657\pi$
$570$	−11.1243	+	23.3809i	−0.465947	+	0.979316i
$571$	7.70168	+	4.44657i	0.322305	+	0.186083i	0.652420	−	0.757858i	$-0.273754\pi$
$571$	7.70168	+	4.44657i	0.322305	+	0.186083i	−0.330114	+	0.943941i	$0.607087\pi$
$572$	−9.59189	+	4.48178i	−0.401057	+	0.187393i
$573$	−27.4381	+	32.1890i	−1.14625	+	1.34471i
$574$	16.5731	−	6.01612i	0.691749	−	0.251108i
$575$		−	11.8628i		−	0.494711i
$576$	0.626108	+	0.770126i	0.0260878	+	0.0320886i
$577$	2.19601	−	0.588419i	0.0914211	−	0.0244962i	−0.212819	−	0.977092i	$-0.568264\pi$
$577$	2.19601	−	0.588419i	0.0914211	−	0.0244962i	0.304240	+	0.952596i	$0.401598\pi$
$578$	−0.196998	−	0.735205i	−0.00819402	−	0.0305805i
$579$	6.03736	+	8.76623i	0.250904	+	0.364312i
$580$	30.5313	−	30.5313i	1.26774	−	1.26774i
$581$	31.4730	−	21.9977i	1.30572	−	0.912616i
$582$	7.69125	+	6.55609i	0.318813	+	0.271759i
$583$	−3.02864	−	0.811523i	−0.125434	−	0.0336098i
$584$	−1.08045	+	1.87140i	−0.0447094	+	0.0774389i
$585$	−14.5958	+	30.1325i	−0.603461	+	1.24582i
$586$	−9.28085	−	16.0749i	−0.383388	−	0.664048i
$587$	−10.1027	+	10.1027i	−0.416982	+	0.416982i	−0.884162	−	0.467180i	$-0.845270\pi$
$587$	−10.1027	+	10.1027i	−0.416982	+	0.416982i	0.467180	+	0.884162i	$0.345270\pi$
$588$	16.5369	+	9.75742i	0.681969	+	0.402389i
$589$		−	3.01161i		−	0.124091i
$590$	−14.4186	−	3.86345i	−0.593604	−	0.159056i
$591$	9.42125	−	19.8013i	0.387538	−	0.814518i
$592$	−3.82656	−	14.2809i	−0.157270	−	0.586941i
$593$	−6.27010	+	23.4003i	−0.257482	+	0.960936i	0.709211	+	0.704997i	$0.249052\pi$
$593$	−6.27010	+	23.4003i	−0.257482	+	0.960936i	−0.966693	+	0.255940i	$0.917615\pi$
$594$	−3.23276	+	5.30992i	−0.132642	+	0.217869i
$595$	26.6988	−	18.6608i	1.09454	−	0.765017i
$596$	−0.877563	−	0.877563i	−0.0359464	−	0.0359464i
$597$	6.27435	+	1.15660i	0.256792	+	0.0473366i
$598$	−4.93737	−	3.45151i	−0.201904	−	0.141143i
$599$	−28.2976	−	16.3376i	−1.15621	−	0.667537i	−0.205815	−	0.978591i	$-0.565985\pi$
$599$	−28.2976	−	16.3376i	−1.15621	−	0.667537i	−0.950392	+	0.311054i	$0.899318\pi$
$600$	−10.4071	−	15.1111i	−0.424867	−	0.616906i
$601$	−8.90763			−0.363350			−0.181675	−	0.983359i	$-0.558152\pi$
$601$	−8.90763			−0.363350			−0.181675	+	0.983359i	$0.558152\pi$
$602$	1.55724	−	3.33210i	0.0634685	−	0.135806i
$603$	−6.08611	+	8.41099i	−0.247846	+	0.342522i
$604$	4.43889	−	16.5662i	0.180616	−	0.674068i
$605$	−22.6097	+	6.05824i	−0.919213	+	0.246302i
$606$	4.84053	−	10.1737i	0.196633	−	0.413279i
$607$	−21.9203	−	37.9672i	−0.889719	−	1.54104i	−0.840207	−	0.542266i	$-0.817567\pi$
$607$	−21.9203	−	37.9672i	−0.889719	−	1.54104i	−0.0495124	−	0.998774i	$-0.515767\pi$
$608$	42.7055			1.73194
$609$	6.66658	+	39.8099i	0.270143	+	1.61318i
$610$		−	1.67017i		−	0.0676234i
$611$	−3.03801	−	6.50194i	−0.122905	−	0.263040i
$612$	6.73793	−	17.6550i	0.272365	−	0.713659i
$613$	−1.95045	+	0.522621i	−0.0787778	+	0.0211084i	−0.297993	−	0.954568i	$-0.596317\pi$
$613$	−1.95045	+	0.522621i	−0.0787778	+	0.0211084i	0.219215	+	0.975677i	$0.429650\pi$
$614$	−3.23062	+	1.86520i	−0.130377	+	0.0752733i
$615$	−35.9201	+	42.1395i	−1.44844	+	1.69923i
$616$	8.68340	+	7.29887i	0.349864	+	0.294080i
$617$	10.5691	−	10.5691i	0.425497	−	0.425497i	−0.461594	−	0.887091i	$-0.652722\pi$
$617$	10.5691	−	10.5691i	0.425497	−	0.425497i	0.887091	+	0.461594i	$0.152722\pi$
$618$	13.7995	−	9.50382i	0.555098	−	0.382300i
$619$	−1.33324	−	4.97571i	−0.0535873	−	0.199991i	0.933942	−	0.357424i	$-0.116345\pi$
$619$	−1.33324	−	4.97571i	−0.0535873	−	0.199991i	−0.987530	+	0.157433i	$0.949678\pi$
$620$	1.70814	+	0.986194i	0.0686005	+	0.0396065i
$621$	13.4514	+	0.313169i	0.539788	+	0.0125670i
$622$	11.4026	−	11.4026i	0.457205	−	0.457205i
$623$	−1.43088	+	3.06171i	−0.0573269	+	0.122665i
$624$	10.4622	+	0.0731068i	0.418822	+	0.00292661i
$625$	−13.4593	−	23.3121i	−0.538371	−	0.932485i
$626$	2.36670	+	8.83264i	0.0945924	+	0.353023i
$627$	8.04582	+	22.6510i	0.321319	+	0.904594i
$628$	18.1399	−	10.4731i	0.723861	−	0.417921i
$629$	24.8202	−	24.8202i	0.989645	−	0.989645i
$630$	15.8505	+	0.259514i	0.631500	+	0.0103393i
$631$	−18.2907	+	18.2907i	−0.728142	+	0.728142i	−0.970249	−	0.242107i	$-0.922161\pi$
$631$	−18.2907	+	18.2907i	−0.728142	+	0.728142i	0.242107	+	0.970249i	$0.422161\pi$
$632$	0.998079	−	3.72488i	0.0397014	−	0.148168i
$633$	−29.4804	+	10.4717i	−1.17174	+	0.416211i
$634$	−8.76693	−	5.06159i	−0.348179	−	0.201021i
$635$	3.96210	−	14.7868i	0.157231	−	0.586794i
$636$	3.53007	+	3.00906i	0.139976	+	0.119317i
$637$	−23.7248	+	8.61003i	−0.940012	+	0.341142i
$638$			10.5380i			0.417202i
$639$	−0.846392	+	8.20559i	−0.0334827	+	0.324608i
$640$	−17.3306	+	30.0174i	−0.685051	+	1.18654i
$641$	−7.18186	+	12.4393i	−0.283666	+	0.491324i	−0.972285	−	0.233799i	$-0.924884\pi$
$641$	−7.18186	+	12.4393i	−0.283666	+	0.491324i	0.688619	+	0.725124i	$0.258217\pi$
$642$	−0.156887	+	0.108049i	−0.00619186	+	0.00426437i
$643$	10.6874	+	10.6874i	0.421470	+	0.421470i	0.885710	−	0.464240i	$-0.153672\pi$
$643$	10.6874	+	10.6874i	0.421470	+	0.421470i	−0.464240	+	0.885710i	$0.653672\pi$
$644$	1.89314	−	10.6832i	0.0746002	−	0.420979i
$645$	0.917415	+	11.5144i	0.0361232	+	0.453380i
$646$	9.60460	+	16.6357i	0.377888	+	0.654521i
$647$	15.0168	−	26.0099i	0.590371	−	1.02255i	−0.403811	−	0.914842i	$-0.632315\pi$
$647$	15.0168	−	26.0099i	0.590371	−	1.02255i	0.994182	−	0.107711i	$-0.0343521\pi$
$648$	17.4095	−	11.4019i	0.683910	−	0.447909i
$649$	−12.0013	+	6.92894i	−0.471091	+	0.271985i
$650$	10.6181	+	0.920710i	0.416476	+	0.0361132i
$651$	−1.67775	+	0.764829i	−0.0657564	+	0.0299760i
$652$	−4.95223	−	4.95223i	−0.193944	−	0.193944i
$653$	−3.48004	+	2.00920i	−0.136185	+	0.0786262i	−0.566544	−	0.824031i	$-0.691720\pi$
$653$	−3.48004	+	2.00920i	−0.136185	+	0.0786262i	0.430360	+	0.902657i	$0.358387\pi$
$654$	−15.3329	+	5.44635i	−0.599562	+	0.212969i
$655$	47.5129	−	12.7310i	1.85648	−	0.497443i
$656$	16.7131	+	4.47827i	0.652539	+	0.174847i
$657$	2.27130	+	1.64349i	0.0886119	+	0.0641187i
$658$	−2.18641	+	2.60115i	−0.0852350	+	0.101403i
$659$		−	30.4547i		−	1.18635i	−0.805075	−	0.593173i	$-0.797875\pi$
$659$		−	30.4547i		−	1.18635i	0.805075	−	0.593173i	$-0.202125\pi$
$660$	−15.4820	−	2.85393i	−0.602637	−	0.111089i
$661$	−0.115054	−	0.429388i	−0.00447509	−	0.0167013i	0.963652	−	0.267160i	$-0.0860852\pi$
$661$	−0.115054	−	0.429388i	−0.00447509	−	0.0167013i	−0.968127	+	0.250459i	$0.919419\pi$
$662$	3.15923	−	5.47194i	0.122787	−	0.212673i
$663$	12.2691	+	21.5978i	0.476491	+	0.838789i
$664$	−33.5594			−1.30236
$665$	39.4410	−	46.9226i	1.52946	−	1.81958i
$666$	16.8671	−	2.70495i	0.653586	−	0.104815i
$667$	19.7525	−	11.4041i	0.764819	−	0.441569i
$668$	−8.70816	−	32.4993i	−0.336929	−	1.25743i
$669$	6.15547	+	2.92870i	0.237984	+	0.113230i
$670$	6.67627	+	1.78890i	0.257927	+	0.0691113i
$671$	−1.09639	−	1.09639i	−0.0423257	−	0.0423257i
$672$	−10.8455	−	23.7911i	−0.418374	−	0.917760i
$673$		−	49.0345i		−	1.89014i	−0.326866	−	0.945071i	$-0.605993\pi$
$673$		−	49.0345i		−	1.89014i	0.326866	−	0.945071i	$-0.394007\pi$
$674$	1.82644	−	6.81637i	0.0703518	−	0.262557i
$675$	−20.8869	+	11.4193i	−0.803938	+	0.439529i
$676$	−13.2091	+	15.7915i	−0.508044	+	0.607364i
$677$	20.3423	−	11.7447i	0.781820	−	0.451384i	−0.0552549	−	0.998472i	$-0.517597\pi$
$677$	20.3423	−	11.7447i	0.781820	−	0.451384i	0.837075	+	0.547088i	$0.184264\pi$
$678$	−0.158582	−	1.99036i	−0.00609032	−	0.0764392i
$679$	−13.7064	−	19.6103i	−0.526002	−	0.752574i
$680$	−28.4687			−1.09172
$681$	−10.6740	−	15.4986i	−0.409027	−	0.593906i
$682$	−0.464978	+	0.124591i	−0.0178049	+	0.00477082i
$683$	7.09210	−	1.90032i	0.271372	−	0.0727138i	−0.120567	−	0.992705i	$-0.538471\pi$
$683$	7.09210	−	1.90032i	0.271372	−	0.0727138i	0.391939	+	0.919991i	$0.371805\pi$
$684$	3.64861	−	35.3726i	0.139508	−	1.35250i
$685$	4.12731			0.157696
$686$	8.42828	+	8.47152i	0.321793	+	0.323444i
$687$	4.61869	−	0.367995i	0.176214	−	0.0140399i
$688$	3.12591	−	1.80474i	0.119174	−	0.0688052i
$689$	−6.00370	+	1.06339i	−0.228723	+	0.0405120i
$690$	−2.99831	−	8.44100i	−0.114144	−	0.321343i
$691$	4.10075	−	15.3042i	0.156000	−	0.582199i	−0.843018	−	0.537885i	$-0.819223\pi$
$691$	4.10075	−	15.3042i	0.156000	−	0.582199i	0.999018	−	0.0443135i	$-0.0141101\pi$
$692$			2.26656i			0.0861618i
$693$	10.5755	−	10.2347i	0.401729	−	0.388786i
$694$	4.32753	+	4.32753i	0.164271	+	0.164271i
$695$	−55.1825	−	14.7861i	−2.09319	−	0.560869i
$696$	15.1565	−	31.8555i	0.574505	−	1.20748i
$697$	10.6321	+	39.6795i	0.402719	+	1.50297i
$698$	13.1710	−	7.60430i	0.498531	−	0.287827i
$699$	20.2007	+	17.2192i	0.764059	+	0.651291i
$700$	6.54977	+	18.0432i	0.247558	+	0.681970i
$701$	−13.6578			−0.515848			−0.257924	−	0.966165i	$-0.583038\pi$
$701$	−13.6578			−0.515848			−0.257924	+	0.966165i	$0.583038\pi$
$702$	−1.32432	+	12.0158i	−0.0499834	+	0.453507i
$703$	33.0264	−	57.2034i	1.24561	−	2.15747i
$704$	−0.158769	−	0.592534i	−0.00598383	−	0.0223320i
$705$	1.93456	−	10.4946i	0.0728598	−	0.395250i
$706$		−	16.1041i		−	0.606086i
$707$	−17.1620	+	20.4174i	−0.645442	+	0.767877i
$708$	20.4361	−	1.62825i	0.768035	−	0.0611934i
$709$	−23.9449	−	6.41601i	−0.899269	−	0.240958i	−0.220567	−	0.975372i	$-0.570791\pi$
$709$	−23.9449	−	6.41601i	−0.899269	−	0.240958i	−0.678702	+	0.734413i	$0.737457\pi$
$710$	5.30471	−	1.42139i	0.199082	−	0.0533440i
$711$	−4.67428	−	1.78392i	−0.175299	−	0.0669021i
$712$	2.55794	−	1.47683i	0.0958629	−	0.0553465i
$713$	0.736729	+	0.736729i	0.0275907	+	0.0275907i
$714$	6.82847	−	9.57548i	0.255549	−	0.358353i
$715$	15.8418	−	13.3137i	0.592449	−	0.497903i
$716$	4.09531	−	2.36443i	0.153049	−	0.0883628i
$717$	−1.31864	+	2.77149i	−0.0492456	+	0.103503i
$718$	10.9261	−	18.9246i	0.407760	−	0.706261i
$719$	−9.18898	−	15.9158i	−0.342691	−	0.593559i	0.642240	−	0.766503i	$-0.278005\pi$
$719$	−9.18898	−	15.9158i	−0.342691	−	0.593559i	−0.984932	+	0.172945i	$0.944672\pi$
$720$	12.6037	+	9.11993i	0.469713	+	0.339880i
$721$	−37.2861	+	13.5350i	−1.38861	+	0.504071i
$722$	16.8915	+	16.8915i	0.628636	+	0.628636i
$723$	−13.9240	−	20.2176i	−0.517840	−	0.751902i
$724$	0.110534	−	0.191451i	0.00410797	−	0.00711521i
$725$	−20.1761	+	34.9461i	−0.749322	+	1.29786i
$726$	−6.96027	+	4.79358i	−0.258320	+	0.177907i
$727$		−	30.4911i		−	1.13085i	−0.824798	−	0.565427i	$-0.808711\pi$
$727$		−	30.4911i		−	1.13085i	0.824798	−	0.565427i	$-0.191289\pi$
$728$	21.3061	+	5.71081i	0.789656	+	0.211657i
$729$	−12.3972	−	23.9856i	−0.459155	−	0.888356i
$730$	0.483075	−	1.80286i	0.0178794	−	0.0667268i
$731$	7.42137	+	4.28473i	0.274489	+	0.158476i
$732$	0.767776	+	2.16149i	0.0283778	+	0.0798908i
$733$	−7.64628	+	28.5363i	−0.282422	+	1.05401i	0.668281	+	0.743909i	$0.267030\pi$
$733$	−7.64628	+	28.5363i	−0.282422	+	1.05401i	−0.950703	+	0.310104i	$0.899636\pi$
$734$	7.29668	−	7.29668i	0.269325	−	0.269325i
$735$	−36.1568	−	10.0559i	−1.33367	−	0.370919i
$736$	−10.4470	+	10.4470i	−0.385083	+	0.385083i
$737$	5.55698	−	3.20832i	0.204694	−	0.118180i
$738$	−7.12836	+	18.6780i	−0.262399	+	0.687546i
$739$	11.5871	+	43.2438i	0.426240	+	1.59075i	0.761201	+	0.648516i	$0.224610\pi$
$739$	11.5871	+	43.2438i	0.426240	+	1.59075i	−0.334961	+	0.942232i	$0.608723\pi$
$740$	21.6299	+	37.4642i	0.795133	+	1.37721i
$741$	32.8202	+	33.2821i	1.20568	+	1.22265i
$742$	1.65381	+	2.36618i	0.0607134	+	0.0868654i
$743$	6.98891	−	6.98891i	0.256398	−	0.256398i	−0.567189	−	0.823588i	$-0.691969\pi$
$743$	6.98891	−	6.98891i	0.256398	−	0.256398i	0.823588	+	0.567189i	$0.191969\pi$
$744$	1.58479	+	0.292138i	0.0581012	+	0.0107103i
$745$	2.10073	+	1.21286i	0.0769649	+	0.0444357i
$746$	−1.31151	−	4.89463i	−0.0480179	−	0.179205i
$747$	−4.46735	+	43.3100i	−0.163452	+	1.58463i
$748$	−8.25860	+	8.25860i	−0.301964	+	0.301964i
$749$	0.423908	−	0.153881i	0.0154893	−	0.00562267i
$750$	−1.10251	−	0.939791i	−0.0402580	−	0.0343163i
$751$	14.1897	−	8.19245i	0.517791	−	0.298947i	−0.218239	−	0.975895i	$-0.570031\pi$
$751$	14.1897	−	8.19245i	0.517791	−	0.298947i	0.736030	+	0.676948i	$0.236698\pi$
$752$	−3.22104	+	0.863075i	−0.117459	+	0.0314731i
$753$	−11.0284	+	3.91738i	−0.401898	+	0.142757i
$754$	8.67452	+	18.5652i	0.315907	+	0.676103i
$755$			33.5216i			1.21998i
$756$	−20.6325	+	6.95060i	−0.750397	+	0.252791i
$757$	−3.07677			−0.111827			−0.0559136	−	0.998436i	$-0.517807\pi$
$757$	−3.07677			−0.111827			−0.0559136	+	0.998436i	$0.517807\pi$
$758$	−7.30500	−	12.6526i	−0.265329	−	0.459564i
$759$	−7.50936	−	3.57287i	−0.272573	−	0.129687i
$760$	−51.7467	+	13.8655i	−1.87705	+	0.502954i
$761$	−12.7389	+	47.5421i	−0.461783	+	1.72340i	0.205556	+	0.978645i	$0.434100\pi$
$761$	−12.7389	+	47.5421i	−0.461783	+	1.72340i	−0.667340	+	0.744754i	$0.732567\pi$
$762$	−0.438985	−	5.50968i	−0.0159028	−	0.199595i
$763$	38.3769	−	3.32456i	1.38934	−	0.120357i
$764$	−38.6728			−1.39913
$765$	−3.78969	+	36.7402i	−0.137016	+	1.32835i
$766$	−5.46203	−	3.15350i	−0.197351	−	0.113941i
$767$	−15.4394	+	22.0861i	−0.557486	+	0.797481i
$768$	−2.47645	+	13.4342i	−0.0893611	+	0.484767i
$769$	21.6214	+	21.6214i	0.779689	+	0.779689i	0.979778	−	0.200089i	$-0.0641231\pi$
$769$	21.6214	+	21.6214i	0.779689	+	0.779689i	−0.200089	+	0.979778i	$0.564123\pi$
$770$	−8.87631	−	4.14831i	−0.319880	−	0.149495i
$771$	5.94075	+	5.06394i	0.213951	+	0.182373i
$772$	−2.51888	+	9.40059i	−0.0906565	+	0.338335i
$773$	−1.41221	−	5.27044i	−0.0507936	−	0.189564i	0.935867	−	0.352352i	$-0.114618\pi$
$773$	−1.41221	−	5.27044i	−0.0507936	−	0.189564i	−0.986661	+	0.162788i	$0.947951\pi$
$774$	1.70366	+	3.80664i	0.0612368	+	0.136827i
$775$	−1.78051	−	0.477085i	−0.0639577	−	0.0171374i
$776$			20.9103i			0.750635i
$777$	−40.2552	−	3.87148i	−1.44415	−	0.138889i
$778$	−10.5941	+	10.5941i	−0.379817	+	0.379817i
$779$	38.6513	+	66.9460i	1.38483	+	2.39859i
$780$	−29.6246	+	7.71642i	−1.06073	+	0.276292i
$781$	2.54921	−	4.41537i	0.0912180	−	0.157994i
$782$	−6.41915	−	1.72001i	−0.229548	−	0.0615073i
$783$	−39.0935	−	23.8007i	−1.39709	−	0.850568i
$784$	2.01672	+	11.5526i	0.0720257	+	0.412593i
$785$	−28.9492	+	28.9492i	−1.03324	+	1.03324i
$786$	14.6266	−	10.0734i	0.521713	−	0.359307i
$787$	−2.50608	−	9.35280i	−0.0893320	−	0.333391i	0.906767	−	0.421632i	$-0.138542\pi$
$787$	−2.50608	−	9.35280i	−0.0893320	−	0.333391i	−0.996099	+	0.0882400i	$0.971876\pi$
$788$	19.3666	−	5.18926i	0.689906	−	0.184860i
$789$	38.0333	+	7.01100i	1.35402	+	0.249598i
$790$			3.33082i			0.118505i
$791$	−0.824781	+	4.65435i	−0.0293258	+	0.165489i
$792$	−12.7000	+	2.03669i	−0.451276	+	0.0723706i
$793$	−2.83406	−	1.02904i	−0.100641	−	0.0365423i
$794$	14.5403	+	8.39486i	0.516017	+	0.297922i
$795$	−8.18681	−	3.89519i	−0.290356	−	0.138148i
$796$	2.91674	+	5.05194i	0.103381	+	0.179061i
$797$	−6.45586			−0.228678			−0.114339	−	0.993442i	$-0.536475\pi$
$797$	−6.45586			−0.228678			−0.114339	+	0.993442i	$0.536475\pi$
$798$	7.74823	−	20.7308i	0.274285	−	0.733864i
$799$	−5.59816	−	5.59816i	−0.198049	−	0.198049i
$800$	6.76521	−	25.2481i	0.239186	−	0.892655i
$801$	−1.56541	−	3.49774i	−0.0553111	−	0.123587i
$802$	−2.07360	+	3.59157i	−0.0732212	+	0.126823i
$803$	−0.866375	−	1.50061i	−0.0305737	−	0.0529552i
$804$	−9.46257	+	0.753933i	−0.333719	+	0.0265892i
$805$	1.83023	+	21.1271i	0.0645070	+	0.744633i
$806$	−0.716612	+	0.602251i	−0.0252416	+	0.0212134i
$807$	−10.7302	−	1.97799i	−0.377721	−	0.0696285i
$808$	22.5165	−	6.03329i	0.792129	−	0.212250i
$809$	30.8257	+	17.7972i	1.08377	+	0.625717i	0.931912	−	0.362685i	$-0.118140\pi$
$809$	30.8257	+	17.7972i	1.08377	+	0.625717i	0.151862	+	0.988402i	$0.451473\pi$
$810$	−11.9760	+	13.4046i	−0.420793	+	0.470991i
$811$	−26.3477	−	26.3477i	−0.925193	−	0.925193i	0.0721972	−	0.997390i	$-0.476999\pi$
$811$	−26.3477	−	26.3477i	−0.925193	−	0.925193i	−0.997390	+	0.0721972i	$0.976999\pi$
$812$	−23.7470	+	28.2515i	−0.833355	+	0.991435i
$813$	−13.6908	+	1.09082i	−0.480158	+	0.0382567i
$814$	−10.1983	−	2.73261i	−0.357449	−	0.0957780i
$815$	11.8548	+	6.84436i	0.415255	+	0.239747i
$816$	10.8759	−	3.86322i	0.380734	−	0.135240i
$817$	15.5765	+	4.17370i	0.544951	+	0.146019i
$818$	−3.28243			−0.114768
$819$	10.2063	−	26.7363i	0.356637	−	0.934243i
$820$	−50.6277			−1.76800
$821$	−14.8828	−	3.98784i	−0.519414	−	0.139177i	−0.0104187	−	0.999946i	$-0.503316\pi$
$821$	−14.8828	−	3.98784i	−0.519414	−	0.139177i	−0.508996	+	0.860769i	$0.669983\pi$
$822$	1.40422	−	0.498790i	0.0489778	−	0.0173973i
$823$	−37.6532	−	21.7391i	−1.31251	−	0.757776i	−0.329996	−	0.943982i	$-0.607048\pi$
$823$	−37.6532	−	21.7391i	−1.31251	−	0.757776i	−0.982511	+	0.186206i	$0.940381\pi$
$824$	33.4865	+	8.97268i	1.16656	+	0.312578i
$825$	14.6662	−	1.16853i	0.510611	−	0.0406831i
$826$	12.5633	+	2.22630i	0.437133	+	0.0774628i
$827$	1.62649	+	1.62649i	0.0565587	+	0.0565587i	0.734820	−	0.678262i	$-0.237266\pi$
$827$	1.62649	+	1.62649i	0.0565587	+	0.0565587i	−0.678262	+	0.734820i	$0.737266\pi$
$828$	7.76063	+	9.54575i	0.269700	+	0.331738i
$829$	−46.0761	−	26.6021i	−1.60029	−	0.923928i	−0.991428	−	0.130652i	$-0.958293\pi$
$829$	−46.0761	−	26.6021i	−1.60029	−	0.923928i	−0.608862	−	0.793276i	$-0.708374\pi$
$830$	27.9989	−	7.50228i	0.971855	−	0.260408i
$831$	−32.2884	−	5.95199i	−1.12007	−	0.206472i
$832$	−0.767464	−	0.913197i	−0.0266070	−	0.0316594i
$833$	−21.3590	+	17.8603i	−0.740046	+	0.618824i
$834$	−20.5615	+	1.63824i	−0.711986	+	0.0567277i
$835$	32.8811	+	56.9518i	1.13790	+	1.97090i
$836$	−10.9891	+	19.0337i	−0.380067	+	0.658295i
$837$	0.587981	−	2.00636i	0.0203236	−	0.0693499i
$838$	5.02983	−	18.7716i	0.173753	−	0.648454i
$839$	1.71823	+	1.71823i	0.0593197	+	0.0593197i	0.736144	−	0.676825i	$-0.236644\pi$
$839$	1.71823	+	1.71823i	0.0593197	+	0.0593197i	−0.676825	+	0.736144i	$0.736644\pi$
$840$	20.8660	+	25.3066i	0.719946	+	0.873160i
$841$	−48.5842			−1.67532
$842$	−7.03975	−	12.1932i	−0.242606	−	0.420206i
$843$	28.6122	+	13.6134i	0.985458	+	0.468869i
$844$	−24.7724	−	14.3024i	−0.852703	−	0.492308i
$845$	16.9497	−	36.4957i	0.583087	−	1.25549i
$846$	−0.610099	−	3.80435i	−0.0209756	−	0.130796i
$847$	18.8066	−	6.82687i	0.646201	−	0.234574i
$848$			2.83306i			0.0972876i
$849$	−5.49539	−	1.01301i	−0.188601	−	0.0347665i
$850$	11.3568	−	3.04303i	0.389533	−	0.104375i
$851$	5.91442	+	22.0729i	0.202744	+	0.756650i
$852$	−6.21177	+	4.27809i	−0.212812	+	0.146565i
$853$	28.8383	−	28.8383i	0.987406	−	0.987406i	−0.0125158	−	0.999922i	$-0.503984\pi$
$853$	28.8383	−	28.8383i	0.987406	−	0.987406i	0.999922	+	0.0125158i	$0.00398399\pi$
$854$	0.123209	+	1.42225i	0.00421612	+	0.0486685i
$855$	11.0057	+	68.6274i	0.376387	+	2.34701i
$856$	−0.380710	−	0.102011i	−0.0130124	−	0.00348666i
$857$	−15.3031	+	26.5057i	−0.522743	+	0.905418i	0.476906	+	0.878954i	$0.341758\pi$
$857$	−15.3031	+	26.5057i	−0.522743	+	0.905418i	−0.999650	+	0.0264639i	$0.991575\pi$
$858$	3.78083	−	6.44417i	0.129075	−	0.220000i
$859$	10.3305	+	17.8929i	0.352471	+	0.610498i	0.986682	−	0.162662i	$-0.0520081\pi$
$859$	10.3305	+	17.8929i	0.352471	+	0.610498i	−0.634211	+	0.773160i	$0.718675\pi$
$860$	−7.46799	+	7.46799i	−0.254656	+	0.254656i
$861$	27.4795	−	38.5341i	0.936497	−	1.31324i
$862$		−	12.3296i		−	0.419947i
$863$	23.0484	+	6.17579i	0.784576	+	0.210226i	0.628801	−	0.777566i	$-0.283546\pi$
$863$	23.0484	+	6.17579i	0.784576	+	0.210226i	0.155775	+	0.987793i	$0.450213\pi$
$864$	28.4508	+	8.33775i	0.967915	+	0.283656i
$865$	−1.14660	−	4.27916i	−0.0389855	−	0.145496i
$866$	0.856467	−	3.19638i	0.0291039	−	0.108617i
$867$	−1.55492	−	1.32543i	−0.0528079	−	0.0450139i
$868$	−1.52733	−	0.713794i	−0.0518411	−	0.0242278i
$869$	2.18653	+	2.18653i	0.0741728	+	0.0741728i
$870$	−5.52381	+	29.9656i	−0.187275	+	1.01593i
$871$	7.14896	−	10.2266i	0.242233	−	0.346514i
$872$	−29.1557	−	16.8330i	−0.987336	−	0.570039i
$873$	26.9857	+	2.78353i	0.913329	+	0.0942082i
$874$	−12.5056			−0.423009
$875$	1.96475	+	2.81106i	0.0664208	+	0.0950312i
$876$	0.203592	+	2.55527i	0.00687873	+	0.0863346i
$877$	8.50840	−	31.7538i	0.287308	−	1.07225i	−0.659828	−	0.751417i	$-0.729371\pi$
$877$	8.50840	−	31.7538i	0.287308	−	1.07225i	0.947136	−	0.320832i	$-0.103963\pi$
$878$	−3.47601	+	0.931394i	−0.117310	+	0.0314330i
$879$	−44.9931	−	21.4072i	−1.51758	−	0.722046i
$880$	−4.80762	−	8.32704i	−0.162065	−	0.280705i
$881$	−20.9910			−0.707204			−0.353602	−	0.935396i	$-0.615043\pi$
$881$	−20.9910			−0.707204			−0.353602	+	0.935396i	$0.615043\pi$
$882$	−13.5168	+	0.948300i	−0.455135	+	0.0319309i
$883$		−	54.4965i		−	1.83395i	−0.398941	−	0.916977i	$-0.630622\pi$
$883$		−	54.4965i		−	1.83395i	0.398941	−	0.916977i	$-0.369378\pi$
$884$	−7.75128	+	21.3477i	−0.260704	+	0.718001i
$885$	−37.7586	+	13.4122i	−1.26924	+	0.450845i
$886$	−4.38027	+	1.17369i	−0.147158	+	0.0394309i
$887$	30.2212	−	17.4482i	1.01473	−	0.585853i	0.102155	−	0.994768i	$-0.467426\pi$
$887$	30.2212	−	17.4482i	1.01473	−	0.585853i	0.912572	+	0.408915i	$0.134093\pi$
$888$	26.8983	+	22.9283i	0.902648	+	0.769425i
$889$	−2.28315	+	12.8841i	−0.0765742	+	0.432118i
$890$	−1.80396	+	1.80396i	−0.0604690	+	0.0604690i
$891$	0.937847	+	16.6612i	0.0314191	+	0.558170i
$892$	1.61314	+	6.02032i	0.0540120	+	0.201575i
$893$	−12.9022	−	7.44907i	−0.431755	−	0.249274i
$894$	0.861301	+	0.158771i	0.0288062	+	0.00531009i
$895$	−6.53563	+	6.53563i	−0.218462	+	0.218462i
$896$	12.5436	−	26.8401i	0.419053	−	0.896665i
$897$	−16.1706	−	0.112996i	−0.539921	−	0.00377282i
$898$	0.225706	+	0.390934i	0.00753189	+	0.0130456i
$899$	−0.917279	−	3.42333i	−0.0305930	−	0.114175i
$900$	−20.3348	−	7.76067i	−0.677826	−	0.258689i
$901$	−5.82497	+	3.36305i	−0.194058	+	0.112039i
$902$	8.73715	−	8.73715i	0.290915	−	0.290915i
$903$	−1.63065	−	9.73753i	−0.0542647	−	0.324045i
$904$	2.92117	−	2.92117i	0.0971567	−	0.0971567i
$905$	−0.111833	+	0.417366i	−0.00371745	+	0.0138737i
$906$	4.05113	+	11.4050i	0.134590	+	0.378905i
$907$	37.8809	+	21.8706i	1.25782	+	0.726201i	0.972650	−	0.232277i	$-0.0746177\pi$
$907$	37.8809	+	21.8706i	1.25782	+	0.726201i	0.285167	+	0.958478i	$0.407951\pi$
$908$	4.45334	−	16.6201i	0.147789	−	0.551557i
$909$	−4.78891	−	29.8618i	−0.158838	−	0.990455i
$910$	−19.0525	−	0.00155252i	−0.631584	−	5.14655e-5i
$911$		−	6.93486i		−	0.229762i	−0.993379	−	0.114881i	$-0.963351\pi$
$911$		−	6.93486i		−	0.229762i	0.993379	−	0.114881i	$-0.0366487\pi$
$912$	17.8873	−	12.3191i	0.592309	−	0.407927i
$913$	13.4550	−	23.3048i	0.445297	−	0.771277i
$914$	6.70881	−	11.6200i	0.221908	−	0.384356i
$915$	−2.54296	−	3.69238i	−0.0840678	−	0.122066i
$916$	2.99558	+	2.99558i	0.0989767	+	0.0989767i
$917$	−39.5209	+	14.3463i	−1.30509	+	0.473755i
$918$	3.15075	+	12.9580i	0.103990	+	0.427678i
$919$	21.3647	+	37.0047i	0.704755	+	1.22067i	0.966780	+	0.255611i	$0.0822766\pi$
$919$	21.3647	+	37.0047i	0.704755	+	1.22067i	−0.262024	+	0.965061i	$0.584390\pi$
$920$	9.26688	−	16.0507i	0.305520	−	0.529176i
$921$	−4.30226	+	9.04239i	−0.141764	+	0.297957i
$922$	−22.9033	+	13.2232i	−0.754281	+	0.435484i
$923$	0.856461	−	9.87716i	0.0281908	−	0.325111i
$924$	13.3944	+	1.28819i	0.440644	+	0.0423782i
$925$	−28.5876	−	28.5876i	−0.939954	−	0.939954i
$926$	0.728793	−	0.420769i	0.0239496	−	0.0138273i
$927$	16.0373	−	42.0216i	0.526735	−	1.38017i
$928$	48.5439	−	13.0073i	1.59353	−	0.426985i
$929$	11.7076	+	3.13705i	0.384115	+	0.102923i	0.445709	−	0.895178i	$-0.352952\pi$
$929$	11.7076	+	3.13705i	0.384115	+	0.102923i	−0.0615941	+	0.998101i	$0.519618\pi$
$930$	−1.38751	+	0.110550i	−0.0454983	+	0.00362509i
$931$	−30.1249	+	42.8670i	−0.987303	+	1.40491i
$932$			24.2697i			0.794981i
$933$	7.84730	−	42.5701i	0.256909	−	1.39368i
$934$	−3.55042	−	13.2503i	−0.116173	−	0.433564i
$935$	11.4140	−	19.7696i	0.373278	−	0.646536i
$936$	−20.6976	+	14.0424i	−0.676523	+	0.458990i
$937$	54.1231			1.76813			0.884063	−	0.467368i	$-0.154798\pi$
$937$	54.1231			1.76813			0.884063	+	0.467368i	$0.154798\pi$
$938$	−5.81721	−	1.03085i	−0.189939	−	0.0336584i
$939$	18.6806	+	15.9235i	0.609618	+	0.519644i
$940$	8.45000	−	4.87861i	0.275609	−	0.159123i
$941$	−8.36662	−	31.2246i	−0.272744	−	1.01789i	−0.957338	−	0.288970i	$-0.906687\pi$
$941$	−8.36662	−	31.2246i	−0.272744	−	1.01789i	0.684594	−	0.728924i	$-0.259979\pi$
$942$	−6.35075	+	13.3478i	−0.206918	+	0.434896i
$943$	−25.8323	−	6.92173i	−0.841214	−	0.225403i
$944$	8.85386	+	8.85386i	0.288169	+	0.288169i
$945$	35.4370	−	23.5599i	1.15277	−	0.766402i
$946$		−	2.57760i		−	0.0838050i
$947$	−2.95472	+	11.0272i	−0.0960154	+	0.358335i	−0.997171	−	0.0751604i	$-0.976053\pi$
$947$	−2.95472	+	11.0272i	−0.0960154	+	0.358335i	0.901156	+	0.433495i	$0.142720\pi$
$948$	−1.53117	−	4.31064i	−0.0497302	−	0.140003i
$949$	−2.76158	−	1.93050i	−0.0896446	−	0.0626668i
$950$	19.1608	−	11.0625i	0.621657	−	0.358914i
$951$	−27.0884	+	2.15827i	−0.878400	+	0.0699868i
$952$	24.2428	−	2.10013i	0.785713	−	0.0680657i
$953$	50.0278			1.62056			0.810280	−	0.586043i	$-0.199315\pi$
$953$	50.0278			1.62056			0.810280	+	0.586043i	$0.199315\pi$
$954$	−3.25611	−	0.335862i	−0.105420	−	0.0108739i
$955$	73.0124	−	19.5636i	2.36262	−	0.633063i
$956$	−2.71064	+	0.726313i	−0.0876682	+	0.0234906i
$957$	16.0448	+	23.2971i	0.518656	+	0.753087i
$958$	16.3570			0.528472
$959$	−3.51465	+	0.304471i	−0.113494	+	0.00983189i
$960$	−0.140877	−	1.76814i	−0.00454679	−	0.0570665i
$961$	−26.7066	+	15.4191i	−0.861503	+	0.497389i
$962$	−20.2161	+	3.58072i	−0.651792	+	0.115447i
$963$	−0.182329	+	0.477746i	−0.00587548	+	0.0153951i
$964$	5.80931	−	21.6807i	0.187105	−	0.698287i
$965$		−	19.0221i		−	0.612343i
$966$	3.17593	+	6.96683i	0.102184	+	0.224154i
$967$	−11.7605	−	11.7605i	−0.378191	−	0.378191i	0.492258	−	0.870449i	$-0.336172\pi$
$967$	−11.7605	−	11.7605i	−0.378191	−	0.378191i	−0.870449	+	0.492258i	$0.836172\pi$
$968$	−16.8901	−	4.52569i	−0.542868	−	0.145461i
$969$	46.5626	+	22.1540i	1.49581	+	0.711688i
$970$	−4.67454	−	17.4456i	−0.150090	−	0.560145i
$971$	20.3790	−	11.7658i	0.653992	−	0.377583i	−0.135992	−	0.990710i	$-0.543422\pi$
$971$	20.3790	−	11.7658i	0.653992	−	0.377583i	0.789984	+	0.613127i	$0.210089\pi$
$972$	9.33682	−	22.8532i	0.299479	−	0.733016i
$973$	48.0819	+	8.52044i	1.54144	+	0.273153i
$974$	−9.53079			−0.305386
$975$	24.8761	−	14.1314i	0.796672	−	0.452566i
$976$	−0.700488	+	1.21328i	−0.0224221	+	0.0388362i
$977$	−10.6577	−	39.7752i	−0.340971	−	1.27252i	−0.897249	−	0.441526i	$-0.854437\pi$
$977$	−10.6577	−	39.7752i	−0.340971	−	1.27252i	0.556277	−	0.830997i	$-0.312229\pi$
$978$	4.86047	+	0.895971i	0.155421	+	0.0286500i
$979$			2.36843i			0.0756954i
$980$	−14.4487	−	31.1238i	−0.461546	−	0.994213i
$981$	−25.6050	+	35.3861i	−0.817505	+	1.12979i
$982$	−16.2146	−	4.34470i	−0.517430	−	0.138645i
$983$	−32.8863	+	8.81186i	−1.04891	+	0.281055i	−0.741801	−	0.670620i	$-0.766028\pi$
$983$	−32.8863	+	8.81186i	−1.04891	+	0.281055i	−0.307109	+	0.951674i	$0.599362\pi$
$984$	−38.9781	+	13.8453i	−1.24258	+	0.441373i
$985$	−33.9380	+	19.5941i	−1.08136	+	0.624321i
$986$	15.9846	+	15.9846i	0.509053	+	0.509053i
$987$	−0.873208	+	9.07951i	−0.0277945	+	0.289004i
$988$	−3.69202	+	42.5783i	−0.117459	+	1.35460i
$989$	−4.83148	+	2.78946i	−0.153632	+	0.0886995i
$990$	10.1404	−	4.53835i	0.322285	−	0.144238i
$991$	−12.9548	+	22.4383i	−0.411522	+	0.712778i	−0.995056	−	0.0993110i	$-0.968336\pi$
$991$	−12.9548	+	22.4383i	−0.411522	+	0.712778i	0.583534	+	0.812089i	$0.301669\pi$
$992$	1.14787	+	1.98817i	0.0364449	+	0.0631244i
$993$	−1.34710	−	16.9074i	−0.0427490	−	0.536540i
$994$	−4.41242	+	1.60173i	−0.139954	+	0.0508038i
$995$	−8.06231	−	8.06231i	−0.255593	−	0.255593i
$996$	−32.7864	+	22.5802i	−1.03888	+	0.715482i
$997$	−24.9079	+	43.1417i	−0.788841	+	1.36631i	0.137837	+	0.990455i	$0.455985\pi$
$997$	−24.9079	+	43.1417i	−0.788841	+	1.36631i	−0.926677	+	0.375857i	$0.877348\pi$
$998$	−7.67617	+	13.2955i	−0.242985	+	0.420862i
$999$	33.1708	−	31.6614i	1.04948	−	1.00172i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.e.242.12	yes	112
3.2	odd	2	inner	273.2.cd.e.242.17	yes	112
7.2	even	3	inner	273.2.cd.e.86.17	yes	112
13.5	odd	4	inner	273.2.cd.e.200.12	yes	112
21.2	odd	6	inner	273.2.cd.e.86.12	yes	112
39.5	even	4	inner	273.2.cd.e.200.17	yes	112
91.44	odd	12	inner	273.2.cd.e.44.17	yes	112
273.44	even	12	inner	273.2.cd.e.44.12	✓	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.e.44.12	✓	112	273.44	even	12	inner
273.2.cd.e.44.17	yes	112	91.44	odd	12	inner
273.2.cd.e.86.12	yes	112	21.2	odd	6	inner
273.2.cd.e.86.17	yes	112	7.2	even	3	inner
273.2.cd.e.200.12	yes	112	13.5	odd	4	inner
273.2.cd.e.200.17	yes	112	39.5	even	4	inner
273.2.cd.e.242.12	yes	112	1.1	even	1	trivial
273.2.cd.e.242.17	yes	112	3.2	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.623254 - 0.167000i) q^{2} +(-1.63214 + 0.579750i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(2.98988 + 0.801137i) q^{5} +(1.11406 - 0.0887629i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(1.63506 + 1.63506i) q^{8} +(2.32778 - 1.89247i) q^{9} +O(q^{10})\)	\(q+(-0.623254 - 0.167000i) q^{2} +(-1.63214 + 0.579750i) q^{3} +(-1.37149 - 0.791833i) q^{4} +(2.98988 + 0.801137i) q^{5} +(1.11406 - 0.0887629i) q^{6} +(-2.60516 - 0.461652i) q^{7} +(1.63506 + 1.63506i) q^{8} +(2.32778 - 1.89247i) q^{9} +(-1.72966 - 0.998622i) q^{10} +(-1.79099 + 0.479894i) q^{11} +(2.69754 + 0.497260i) q^{12} +(-2.76022 + 2.31973i) q^{13} +(1.54658 + 0.722789i) q^{14} +(-5.34437 + 0.425815i) q^{15} +(0.837665 + 1.45088i) q^{16} +(-1.98874 + 3.44460i) q^{17} +(-1.76684 + 0.790748i) q^{18} +(-1.93721 + 7.22976i) q^{19} +(-3.46624 - 3.46624i) q^{20} +(4.51964 - 0.756861i) q^{21} +1.19638 q^{22} +(-1.29472 - 2.24251i) q^{23} +(-3.61658 - 1.72072i) q^{24} +(3.96745 + 2.29061i) q^{25} +(2.10772 - 0.984824i) q^{26} +(-2.70211 + 4.43831i) q^{27} +(3.20742 + 2.69601i) q^{28} +8.80819i q^{29} +(3.40201 + 0.627121i) q^{30} +(-0.388653 + 0.104139i) q^{31} +(-1.47673 - 5.51122i) q^{32} +(2.64493 - 1.82158i) q^{33} +(1.81474 - 1.81474i) q^{34} +(-7.41929 - 3.46738i) q^{35} +(-4.69106 + 0.752299i) q^{36} +(-8.52423 - 2.28406i) q^{37} +(2.41474 - 4.18246i) q^{38} +(3.16021 - 5.38638i) q^{39} +(3.57873 + 6.19854i) q^{40} +(7.30296 - 7.30296i) q^{41} +(-2.94328 - 0.283065i) q^{42} -2.15449i q^{43} +(2.83633 + 0.759992i) q^{44} +(8.47592 - 3.79339i) q^{45} +(0.432436 + 1.61387i) q^{46} +(-0.515167 + 1.92263i) q^{47} +(-2.20834 - 1.88240i) q^{48} +(6.57375 + 2.40536i) q^{49} +(-2.09020 - 2.09020i) q^{50} +(1.24890 - 6.77505i) q^{51} +(5.62247 - 0.995867i) q^{52} +(1.46449 + 0.845522i) q^{53} +(2.42530 - 2.31494i) q^{54} -5.73931 q^{55} +(-3.50477 - 5.01443i) q^{56} +(-1.02965 - 12.9231i) q^{57} +(1.47097 - 5.48974i) q^{58} +(7.21924 - 1.93439i) q^{59} +(7.66696 + 3.64785i) q^{60} +(0.418120 + 0.724204i) q^{61} +0.259621 q^{62} +(-6.93791 + 3.85557i) q^{63} +0.330842i q^{64} +(-10.1112 + 4.72442i) q^{65} +(-1.95267 + 0.693603i) q^{66} +(-3.34274 + 0.895685i) q^{67} +(5.45510 - 3.14950i) q^{68} +(3.41326 + 2.90949i) q^{69} +(4.04504 + 3.40008i) q^{70} +(-1.94434 + 1.94434i) q^{71} +(6.90036 + 0.711759i) q^{72} +(0.241870 + 0.902673i) q^{73} +(4.93132 + 2.84710i) q^{74} +(-7.80343 - 1.43847i) q^{75} +(8.38163 - 8.38163i) q^{76} +(4.88737 - 0.423389i) q^{77} +(-2.86914 + 2.82932i) q^{78} +(-0.833854 - 1.44428i) q^{79} +(1.34217 + 5.00904i) q^{80} +(1.83712 - 8.81050i) q^{81} +(-5.77120 + 3.33200i) q^{82} +(-10.2624 + 10.2624i) q^{83} +(-6.79797 - 2.54077i) q^{84} +(-8.70570 + 8.70570i) q^{85} +(-0.359801 + 1.34279i) q^{86} +(-5.10655 - 14.3762i) q^{87} +(-3.71303 - 2.14372i) q^{88} +(0.330604 - 1.23383i) q^{89} +(-5.91614 + 0.948764i) q^{90} +(8.26174 - 4.76902i) q^{91} +4.10079i q^{92} +(0.573963 - 0.395292i) q^{93} +(0.642160 - 1.11225i) q^{94} +(-11.5840 + 20.0642i) q^{95} +(5.60536 + 8.13897i) q^{96} +(6.39435 + 6.39435i) q^{97} +(-3.69542 - 2.59697i) q^{98} +(-3.26085 + 4.50648i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Introduction

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