LMFDB - Embedded newform 637.2.x.a.19.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(19,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 5]))

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

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

chi := DirichletCharacter("637.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.x (of order $12$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	no (minimal twist has level 91)
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	637.19
Dual form			637.2.x.a.570.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.38212 - 0.638288i) q^{2} -0.168862i q^{3} +(3.53505 + 2.04096i) q^{4} +(2.38343 - 0.638637i) q^{5} +(-0.107782 + 0.402250i) q^{6} +(-3.63054 - 3.63054i) q^{8} +2.97149 q^{9} +O(q^{10})$	\(q+(-2.38212 - 0.638288i) q^{2} -0.168862i q^{3} +(3.53505 + 2.04096i) q^{4} +(2.38343 - 0.638637i) q^{5} +(-0.107782 + 0.402250i) q^{6} +(-3.63054 - 3.63054i) q^{8} +2.97149 q^{9} -6.08525 q^{10} +(3.22245 + 3.22245i) q^{11} +(0.344641 - 0.596935i) q^{12} +(1.54835 - 3.25617i) q^{13} +(-0.107841 - 0.402470i) q^{15} +(2.24914 + 3.89562i) q^{16} +(-0.0563551 + 0.0976099i) q^{17} +(-7.07845 - 1.89666i) q^{18} +(2.43524 + 2.43524i) q^{19} +(9.72897 + 2.60687i) q^{20} +(-5.61943 - 9.73314i) q^{22} +(-0.565076 + 0.326247i) q^{23} +(-0.613059 + 0.613059i) q^{24} +(0.942740 - 0.544291i) q^{25} +(-5.76673 + 6.76830i) q^{26} -1.00836i q^{27} +(-2.82213 + 4.88807i) q^{29} +1.02757i q^{30} +(-1.43336 + 5.34937i) q^{31} +(-0.213455 - 0.796624i) q^{32} +(0.544149 - 0.544149i) q^{33} +(0.196548 - 0.196548i) q^{34} +(10.5044 + 6.06469i) q^{36} +(0.402453 - 1.50197i) q^{37} +(-4.24666 - 7.35543i) q^{38} +(-0.549842 - 0.261457i) q^{39} +(-10.9717 - 6.33453i) q^{40} +(-10.6793 + 2.86152i) q^{41} +(6.08601 - 3.51376i) q^{43} +(4.81463 + 17.9684i) q^{44} +(7.08232 - 1.89770i) q^{45} +(1.55432 - 0.416479i) q^{46} +(1.53354 + 5.72325i) q^{47} +(0.657821 - 0.379793i) q^{48} +(-2.59314 + 0.694830i) q^{50} +(0.0164826 + 0.00951622i) q^{51} +(12.1192 - 8.35060i) q^{52} +(-2.41079 - 4.17561i) q^{53} +(-0.643622 + 2.40203i) q^{54} +(9.73846 + 5.62250i) q^{55} +(0.411219 - 0.411219i) q^{57} +(9.84265 - 9.84265i) q^{58} +(1.02191 + 3.81382i) q^{59} +(0.440201 - 1.64285i) q^{60} -15.3396i q^{61} +(6.82887 - 11.8280i) q^{62} -6.96264i q^{64} +(1.61086 - 8.74967i) q^{65} +(-1.64355 + 0.948907i) q^{66} +(4.44959 - 4.44959i) q^{67} +(-0.398436 + 0.230037i) q^{68} +(0.0550906 + 0.0954197i) q^{69} +(3.56578 + 0.955449i) q^{71} +(-10.7881 - 10.7881i) q^{72} +(2.43015 + 0.651157i) q^{73} +(-1.91738 + 3.32101i) q^{74} +(-0.0919100 - 0.159193i) q^{75} +(3.63847 + 13.5789i) q^{76} +(1.14291 + 0.973780i) q^{78} +(6.11315 - 10.5883i) q^{79} +(7.84854 + 7.84854i) q^{80} +8.74418 q^{81} +27.2660 q^{82} +(-3.34105 - 3.34105i) q^{83} +(-0.0719809 + 0.268637i) q^{85} +(-16.7404 + 4.48558i) q^{86} +(0.825408 + 0.476549i) q^{87} -23.3985i q^{88} +(8.39201 + 2.24863i) q^{89} -18.0822 q^{90} -2.66343 q^{92} +(0.903304 + 0.242039i) q^{93} -14.6123i q^{94} +(7.35946 + 4.24898i) q^{95} +(-0.134519 + 0.0360444i) q^{96} +(1.04426 - 3.89722i) q^{97} +(9.57547 + 9.57547i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} + 6 q^{5} - 12 q^{6} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 + 6 * q^5 - 12 * q^6 - 4 * q^8 - 12 * q^9	$ 28 q - 2 q^{2} - 6 q^{4} + 6 q^{5} - 12 q^{6} - 4 q^{8} - 12 q^{9} + 12 q^{10} + 2 q^{11} - 8 q^{12} + 10 q^{15} - 2 q^{16} + 6 q^{17} - 4 q^{18} + 8 q^{19} + 36 q^{20} - 8 q^{22} - 6 q^{23} - 12 q^{24} - 24 q^{26} - 8 q^{29} + 38 q^{31} - 20 q^{32} - 18 q^{33} - 12 q^{34} + 54 q^{36} - 16 q^{37} + 28 q^{39} - 48 q^{40} - 18 q^{41} + 48 q^{43} - 6 q^{44} - 12 q^{45} + 18 q^{46} + 42 q^{47} - 12 q^{48} + 10 q^{50} + 12 q^{51} + 28 q^{52} + 12 q^{53} + 30 q^{54} + 6 q^{55} + 12 q^{57} + 62 q^{58} + 6 q^{59} + 16 q^{60} + 36 q^{62} - 2 q^{65} - 66 q^{66} - 4 q^{67} - 30 q^{68} - 42 q^{69} - 42 q^{71} - 38 q^{72} - 14 q^{73} - 6 q^{74} + 20 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} - 12 q^{80} + 12 q^{81} + 108 q^{82} + 66 q^{83} - 54 q^{85} - 30 q^{86} - 42 q^{87} + 30 q^{89} + 72 q^{90} - 156 q^{92} + 14 q^{93} - 6 q^{95} - 18 q^{96} - 62 q^{97} - 36 q^{99}+O(q^{100}) $ 28 * q - 2 * q^2 - 6 * q^4 + 6 * q^5 - 12 * q^6 - 4 * q^8 - 12 * q^9 + 12 * q^10 + 2 * q^11 - 8 * q^12 + 10 * q^15 - 2 * q^16 + 6 * q^17 - 4 * q^18 + 8 * q^19 + 36 * q^20 - 8 * q^22 - 6 * q^23 - 12 * q^24 - 24 * q^26 - 8 * q^29 + 38 * q^31 - 20 * q^32 - 18 * q^33 - 12 * q^34 + 54 * q^36 - 16 * q^37 + 28 * q^39 - 48 * q^40 - 18 * q^41 + 48 * q^43 - 6 * q^44 - 12 * q^45 + 18 * q^46 + 42 * q^47 - 12 * q^48 + 10 * q^50 + 12 * q^51 + 28 * q^52 + 12 * q^53 + 30 * q^54 + 6 * q^55 + 12 * q^57 + 62 * q^58 + 6 * q^59 + 16 * q^60 + 36 * q^62 - 2 * q^65 - 66 * q^66 - 4 * q^67 - 30 * q^68 - 42 * q^69 - 42 * q^71 - 38 * q^72 - 14 * q^73 - 6 * q^74 + 20 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 - 12 * q^80 + 12 * q^81 + 108 * q^82 + 66 * q^83 - 54 * q^85 - 30 * q^86 - 42 * q^87 + 30 * q^89 + 72 * q^90 - 156 * q^92 + 14 * q^93 - 6 * q^95 - 18 * q^96 - 62 * q^97 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−2.38212	−	0.638288i	−1.68442	−	0.451338i	−0.715477	−	0.698637i	$-0.753790\pi$
$2$	−2.38212	−	0.638288i	−1.68442	−	0.451338i	−0.968939	+	0.247299i	$0.920457\pi$
$3$		−	0.168862i		−	0.0974924i	−0.998811	−	0.0487462i	$-0.984477\pi$
$3$		−	0.168862i		−	0.0974924i	0.998811	−	0.0487462i	$-0.0155226\pi$
$4$	3.53505	+	2.04096i	1.76753	+	1.02048i
$5$	2.38343	−	0.638637i	1.06590	−	0.285607i	0.317093	−	0.948394i	$-0.397293\pi$
$5$	2.38343	−	0.638637i	1.06590	−	0.285607i	0.748808	+	0.662787i	$0.230627\pi$
$6$	−0.107782	+	0.402250i	−0.0440020	+	0.164218i
$7$		0			0
$7$		0			0
$8$	−3.63054	−	3.63054i	−1.28359	−	1.28359i
$9$	2.97149			0.990495
$10$	−6.08525			−1.92433
$11$	3.22245	+	3.22245i	0.971606	+	0.971606i	0.999608	−	0.0280017i	$-0.00891439\pi$
$11$	3.22245	+	3.22245i	0.971606	+	0.971606i	−0.0280017	+	0.999608i	$0.508914\pi$
$12$	0.344641	−	0.596935i	0.0994892	−	0.172320i
$13$	1.54835	−	3.25617i	0.429434	−	0.903098i
$13$	1.54835	−	3.25617i	0.429434	−	0.903098i
$14$		0			0
$15$	−0.107841	−	0.402470i	−0.0278445	−	0.103917i
$16$	2.24914	+	3.89562i	0.562284	+	0.973904i
$17$	−0.0563551	+	0.0976099i	−0.0136681	+	0.0236739i	−0.872779	−	0.488116i	$-0.837684\pi$
$17$	−0.0563551	+	0.0976099i	−0.0136681	+	0.0236739i	0.859110	+	0.511790i	$0.171017\pi$
$18$	−7.07845	−	1.89666i	−1.66841	−	0.447048i
$19$	2.43524	+	2.43524i	0.558683	+	0.558683i	0.928932	−	0.370250i	$-0.120728\pi$
$19$	2.43524	+	2.43524i	0.558683	+	0.558683i	−0.370250	+	0.928932i	$0.620728\pi$
$20$	9.72897	+	2.60687i	2.17546	+	0.582914i
$21$		0			0
$22$	−5.61943	−	9.73314i	−1.19807	−	2.07511i
$23$	−0.565076	+	0.326247i	−0.117826	+	0.0680271i	−0.557755	−	0.830006i	$-0.688337\pi$
$23$	−0.565076	+	0.326247i	−0.117826	+	0.0680271i	0.439928	+	0.898033i	$0.355004\pi$
$24$	−0.613059	+	0.613059i	−0.125140	+	0.125140i
$25$	0.942740	−	0.544291i	0.188548	−	0.108858i
$26$	−5.76673	+	6.76830i	−1.13095	+	1.32737i
$27$		−	1.00836i		−	0.194058i
$28$		0			0
$29$	−2.82213	+	4.88807i	−0.524056	+	0.907691i	0.475552	+	0.879688i	$0.342248\pi$
$29$	−2.82213	+	4.88807i	−0.524056	+	0.907691i	−0.999608	+	0.0280035i	$0.991085\pi$
$30$			1.02757i			0.187607i
$31$	−1.43336	+	5.34937i	−0.257439	+	0.960774i	0.709279	+	0.704928i	$0.249021\pi$
$31$	−1.43336	+	5.34937i	−0.257439	+	0.960774i	−0.966717	+	0.255846i	$0.917646\pi$
$32$	−0.213455	−	0.796624i	−0.0377338	−	0.140825i
$33$	0.544149	−	0.544149i	0.0947242	−	0.0947242i
$34$	0.196548	−	0.196548i	0.0337077	−	0.0337077i
$35$		0			0
$36$	10.5044	+	6.06469i	1.75073	+	1.01078i
$37$	0.402453	−	1.50197i	0.0661628	−	0.246923i	−0.924922	−	0.380158i	$-0.875870\pi$
$37$	0.402453	−	1.50197i	0.0661628	−	0.246923i	0.991085	+	0.133235i	$0.0425364\pi$
$38$	−4.24666	−	7.35543i	−0.688899	−	1.19321i
$39$	−0.549842	−	0.261457i	−0.0880452	−	0.0418666i
$40$	−10.9717	−	6.33453i	−1.73478	−	1.00158i
$41$	−10.6793	+	2.86152i	−1.66783	+	0.446894i	−0.964525	−	0.263993i	$-0.914960\pi$
$41$	−10.6793	+	2.86152i	−1.66783	+	0.446894i	−0.703306	+	0.710887i	$0.748294\pi$
$42$		0			0
$43$	6.08601	−	3.51376i	0.928108	−	0.535843i	0.0418951	−	0.999122i	$-0.486660\pi$
$43$	6.08601	−	3.51376i	0.928108	−	0.535843i	0.886213	+	0.463279i	$0.153327\pi$
$44$	4.81463	+	17.9684i	0.725833	+	2.70885i
$45$	7.08232	−	1.89770i	1.05577	−	0.282893i
$46$	1.55432	−	0.416479i	0.229172	−	0.0614065i
$47$	1.53354	+	5.72325i	0.223690	+	0.834822i	0.982925	+	0.184006i	$0.0589066\pi$
$47$	1.53354	+	5.72325i	0.223690	+	0.834822i	−0.759235	+	0.650816i	$0.774427\pi$
$48$	0.657821	−	0.379793i	0.0949483	−	0.0548184i
$49$		0			0
$50$	−2.59314	+	0.694830i	−0.366725	+	0.0982637i
$51$	0.0164826	+	0.00951622i	0.00230802	+	0.00133254i
$52$	12.1192	−	8.35060i	1.68063	−	1.15802i
$53$	−2.41079	−	4.17561i	−0.331147	−	0.573564i	0.651590	−	0.758571i	$-0.274102\pi$
$53$	−2.41079	−	4.17561i	−0.331147	−	0.573564i	−0.982737	+	0.185008i	$0.940769\pi$
$54$	−0.643622	+	2.40203i	−0.0875858	+	0.326875i
$55$	9.73846	+	5.62250i	1.31313	+	0.758138i
$56$		0			0
$57$	0.411219	−	0.411219i	0.0544673	−	0.0544673i
$58$	9.84265	−	9.84265i	1.29240	−	1.29240i
$59$	1.02191	+	3.81382i	0.133041	+	0.496517i	0.999998	−	0.00186615i	$-0.000594013\pi$
$59$	1.02191	+	3.81382i	0.133041	+	0.496517i	−0.866957	+	0.498383i	$0.833927\pi$
$60$	0.440201	−	1.64285i	0.0568297	−	0.212091i
$61$		−	15.3396i		−	1.96404i	−0.188776	−	0.982020i	$-0.560452\pi$
$61$		−	15.3396i		−	1.96404i	0.188776	−	0.982020i	$-0.439548\pi$
$62$	6.82887	−	11.8280i	0.867268	−	1.50215i
$63$		0			0
$64$		−	6.96264i		−	0.870330i
$65$	1.61086	−	8.74967i	0.199803	−	1.08526i
$66$	−1.64355	+	0.948907i	−0.202308	+	0.116802i
$67$	4.44959	−	4.44959i	0.543604	−	0.543604i	−0.380979	−	0.924584i	$-0.624413\pi$
$67$	4.44959	−	4.44959i	0.543604	−	0.543604i	0.924584	+	0.380979i	$0.124413\pi$
$68$	−0.398436	+	0.230037i	−0.0483175	+	0.0278961i
$69$	0.0550906	+	0.0954197i	0.00663213	+	0.0114872i
$70$		0			0
$71$	3.56578	+	0.955449i	0.423181	+	0.113391i	0.464123	−	0.885771i	$-0.346369\pi$
$71$	3.56578	+	0.955449i	0.423181	+	0.113391i	−0.0409427	+	0.999161i	$0.513036\pi$
$72$	−10.7881	−	10.7881i	−1.27139	−	1.27139i
$73$	2.43015	+	0.651157i	0.284428	+	0.0762122i	0.398212	−	0.917293i	$-0.369631\pi$
$73$	2.43015	+	0.651157i	0.284428	+	0.0762122i	−0.113785	+	0.993505i	$0.536297\pi$
$74$	−1.91738	+	3.32101i	−0.222891	+	0.386059i
$75$	−0.0919100	−	0.159193i	−0.0106129	−	0.0183820i
$76$	3.63847	+	13.5789i	0.417361	+	1.55761i
$77$		0			0
$78$	1.14291	+	0.973780i	0.129409	+	0.110259i
$79$	6.11315	−	10.5883i	0.687783	−	1.19128i	−0.284770	−	0.958596i	$-0.591917\pi$
$79$	6.11315	−	10.5883i	0.687783	−	1.19128i	0.972553	−	0.232680i	$-0.0747493\pi$
$80$	7.84854	+	7.84854i	0.877493	+	0.877493i
$81$	8.74418			0.971576
$82$	27.2660			3.01102
$83$	−3.34105	−	3.34105i	−0.366728	−	0.366728i	0.499554	−	0.866283i	$-0.333497\pi$
$83$	−3.34105	−	3.34105i	−0.366728	−	0.366728i	−0.866283	+	0.499554i	$0.833497\pi$
$84$		0			0
$85$	−0.0719809	+	0.268637i	−0.00780743	+	0.0291377i
$86$	−16.7404	+	4.48558i	−1.80517	+	0.483693i
$87$	0.825408	+	0.476549i	0.0884930	+	0.0510914i
$88$		−	23.3985i		−	2.49429i
$89$	8.39201	+	2.24863i	0.889551	+	0.238355i	0.674524	−	0.738253i	$-0.264349\pi$
$89$	8.39201	+	2.24863i	0.889551	+	0.238355i	0.215028	+	0.976608i	$0.431016\pi$
$90$	−18.0822			−1.90604
$91$		0			0
$92$	−2.66343			−0.277682
$93$	0.903304	+	0.242039i	0.0936682	+	0.0250983i
$94$		−	14.6123i		−	1.50715i
$95$	7.35946	+	4.24898i	0.755064	+	0.435936i
$96$	−0.134519	+	0.0360444i	−0.0137293	+	0.00367876i
$97$	1.04426	−	3.89722i	0.106028	−	0.395703i	−0.892431	−	0.451183i	$-0.851002\pi$
$97$	1.04426	−	3.89722i	0.106028	−	0.395703i	0.998460	+	0.0554799i	$0.0176689\pi$
$98$		0			0
$99$	9.57547	+	9.57547i	0.962371	+	0.962371i
$100$	4.44352			0.444352
$101$	−4.52037			−0.449793			−0.224897	−	0.974383i	$-0.572204\pi$
$101$	−4.52037			−0.449793			−0.224897	+	0.974383i	$0.572204\pi$
$102$	−0.0331895	−	0.0331895i	−0.00328625	−	0.00328625i
$103$	−6.72989	+	11.6565i	−0.663115	+	1.14855i	0.316677	+	0.948533i	$0.397433\pi$
$103$	−6.72989	+	11.6565i	−0.663115	+	1.14855i	−0.979793	+	0.200016i	$0.935901\pi$
$104$	−17.4430	+	6.20031i	−1.71042	+	0.607990i
$105$		0			0
$106$	3.07755	+	11.4856i	0.298919	+	1.11558i
$107$	−4.12999	−	7.15334i	−0.399261	−	0.691540i	0.594374	−	0.804189i	$-0.297400\pi$
$107$	−4.12999	−	7.15334i	−0.399261	−	0.691540i	−0.993635	+	0.112649i	$0.964067\pi$
$108$	2.05802	−	3.56459i	0.198033	−	0.343003i
$109$	−13.0075	−	3.48535i	−1.24589	−	0.333836i	−0.425145	−	0.905125i	$-0.639777\pi$
$109$	−13.0075	−	3.48535i	−1.24589	−	0.333836i	−0.820749	+	0.571289i	$0.806443\pi$
$110$	−19.6094	−	19.6094i	−1.86969	−	1.86969i
$111$	−0.253626	−	0.0679589i	−0.0240731	−	0.00645037i
$112$		0			0
$113$	1.14314	+	1.97997i	0.107537	+	0.186260i	0.914772	−	0.403970i	$-0.132370\pi$
$113$	1.14314	+	1.97997i	0.107537	+	0.186260i	−0.807235	+	0.590231i	$0.799037\pi$
$114$	−1.24205	+	0.717099i	−0.116329	+	0.0671624i
$115$	−1.13846	+	1.13846i	−0.106162	+	0.106162i
$116$	−19.9527	+	11.5197i	−1.85256	+	1.06958i
$117$	4.60089	−	9.67565i	0.425352	−	0.894514i
$118$		−	9.73726i		−	0.896388i
$119$		0			0
$120$	−1.06966	+	1.85270i	−0.0976461	+	0.169128i
$121$			9.76841i			0.888037i
$122$	−9.79112	+	36.5409i	−0.886446	+	3.30826i
$123$	0.483201	+	1.80333i	0.0435688	+	0.162601i
$124$	−15.9849	+	15.9849i	−1.43548	+	1.43548i
$125$	−6.82460	+	6.82460i	−0.610411	+	0.610411i
$126$		0			0
$127$	−4.38857	−	2.53374i	−0.389422	−	0.224833i	0.292488	−	0.956269i	$-0.405517\pi$
$127$	−4.38857	−	2.53374i	−0.389422	−	0.224833i	−0.681910	+	0.731436i	$0.738850\pi$
$128$	−4.87108	+	18.1791i	−0.430547	+	1.60682i
$129$	−0.593340	−	1.02769i	−0.0522406	−	0.0904834i
$130$	−9.42208	+	19.8146i	−0.826371	+	1.73786i
$131$	4.92213	+	2.84179i	0.430048	+	0.248288i	0.699367	−	0.714763i	$-0.253465\pi$
$131$	4.92213	+	2.84179i	0.430048	+	0.248288i	−0.269319	+	0.963051i	$0.586799\pi$
$132$	3.03418	−	0.813007i	0.264092	−	0.0707632i
$133$		0			0
$134$	−13.4396	+	7.75936i	−1.16100	+	0.670306i
$135$	−0.643974	−	2.40334i	−0.0554244	−	0.206847i
$136$	0.558976	−	0.149777i	0.0479318	−	0.0128433i
$137$	8.25356	−	2.21153i	0.705149	−	0.188944i	0.111613	−	0.993752i	$-0.464398\pi$
$137$	8.25356	−	2.21153i	0.705149	−	0.188944i	0.593536	+	0.804808i	$0.297732\pi$
$138$	−0.0703274	−	0.262465i	−0.00598666	−	0.0223425i
$139$	9.91348	−	5.72355i	0.840850	−	0.485465i	−0.0167030	−	0.999860i	$-0.505317\pi$
$139$	9.91348	−	5.72355i	0.840850	−	0.485465i	0.857553	+	0.514395i	$0.171984\pi$
$140$		0			0
$141$	0.966439	−	0.258957i	0.0813888	−	0.0218081i
$142$	−7.88429	−	4.55200i	−0.661635	−	0.381995i
$143$	15.4823	−	5.50337i	1.29470	−	0.460215i
$144$	6.68327	+	11.5758i	0.556939	+	0.964647i
$145$	−3.60463	+	13.4527i	−0.299348	+	1.11718i
$146$	−5.37330	−	3.10227i	−0.444697	−	0.256746i
$147$		0			0
$148$	4.48817	−	4.48817i	0.368925	−	0.368925i
$149$	−5.39354	+	5.39354i	−0.441856	+	0.441856i	−0.892635	−	0.450780i	$-0.851146\pi$
$149$	−5.39354	+	5.39354i	−0.441856	+	0.441856i	0.450780	+	0.892635i	$0.351146\pi$
$150$	0.117330	+	0.437882i	0.00957997	+	0.0357529i
$151$	−1.70781	+	6.37363i	−0.138980	+	0.518679i	0.860970	+	0.508656i	$0.169857\pi$
$151$	−1.70781	+	6.37363i	−0.138980	+	0.518679i	−0.999950	+	0.0100235i	$0.996809\pi$
$152$		−	17.6825i		−	1.43424i
$153$	−0.167458	+	0.290046i	−0.0135382	+	0.0234489i
$154$		0			0
$155$			13.6652i			1.09762i
$156$	−1.41010	−	2.04647i	−0.112898	−	0.163849i
$157$	−8.20626	+	4.73788i	−0.654931	+	0.378124i	−0.790343	−	0.612665i	$-0.790097\pi$
$157$	−8.20626	+	4.73788i	−0.654931	+	0.378124i	0.135412	+	0.990789i	$0.456764\pi$
$158$	−21.3207	+	21.3207i	−1.69618	+	1.69618i
$159$	−0.705100	+	0.407090i	−0.0559181	+	0.0322843i
$160$	−1.01751	−	1.76238i	−0.0804411	−	0.139328i
$161$		0			0
$162$	−20.8297	−	5.58131i	−1.63654	−	0.438509i
$163$	13.0660	+	13.0660i	1.02341	+	1.02341i	0.999719	+	0.0236898i	$0.00754139\pi$
$163$	13.0660	+	13.0660i	1.02341	+	1.02341i	0.0236898	+	0.999719i	$0.492459\pi$
$164$	−43.5922	−	11.6805i	−3.40398	−	0.912094i
$165$	0.949426	−	1.64445i	0.0739127	−	0.128021i
$166$	5.82625	+	10.0914i	0.452205	+	0.783242i
$167$	−4.24807	−	15.8540i	−0.328725	−	1.22682i	−0.910513	−	0.413480i	$-0.864313\pi$
$167$	−4.24807	−	15.8540i	−0.328725	−	1.22682i	0.581788	−	0.813341i	$-0.302353\pi$
$168$		0			0
$169$	−8.20525	−	10.0833i	−0.631173	−	0.775642i
$170$	0.342935	−	0.593981i	0.0263019	−	0.0455563i
$171$	7.23628	+	7.23628i	0.553372	+	0.553372i
$172$	28.6858			2.18727
$173$	−18.2374			−1.38657			−0.693283	−	0.720665i	$-0.743836\pi$
$173$	−18.2374			−1.38657			−0.693283	+	0.720665i	$0.743836\pi$
$174$	−1.66205	−	1.66205i	−0.125999	−	0.125999i
$175$		0			0
$176$	−5.30571	+	19.8012i	−0.399933	+	1.49257i
$177$	0.644008	−	0.172561i	0.0484066	−	0.0129705i
$178$	−18.5555	−	10.7130i	−1.39080	−	0.802977i
$179$		−	23.5819i		−	1.76260i	−0.472560	−	0.881299i	$-0.656670\pi$
$179$		−	23.5819i		−	1.76260i	0.472560	−	0.881299i	$-0.343330\pi$
$180$	28.9095	+	7.74628i	2.15479	+	0.577374i
$181$	4.65138			0.345735			0.172867	−	0.984945i	$-0.444697\pi$
$181$	4.65138			0.345735			0.172867	+	0.984945i	$0.444697\pi$
$182$		0			0
$183$	−2.59028			−0.191479
$184$	3.23598	+	0.867078i	0.238560	+	0.0639219i
$185$		−	3.83687i		−	0.282092i
$186$	−1.99729	−	1.15314i	−0.146448	−	0.0845520i
$187$	−0.496145	+	0.132942i	−0.0362817	+	0.00972165i
$188$	−6.25980	+	23.3619i	−0.456543	+	1.70384i
$189$		0			0
$190$	−14.8191	−	14.8191i	−1.07509	−	1.07509i
$191$	7.69956			0.557120			0.278560	−	0.960419i	$-0.410143\pi$
$191$	7.69956			0.557120			0.278560	+	0.960419i	$0.410143\pi$
$192$	−1.17572			−0.0848505
$193$	0.176232	+	0.176232i	0.0126855	+	0.0126855i	0.713421	−	0.700736i	$-0.247145\pi$
$193$	0.176232	+	0.176232i	0.0126855	+	0.0126855i	−0.700736	+	0.713421i	$0.747145\pi$
$194$	−4.97510	+	8.61713i	−0.357192	+	0.618674i
$195$	−1.47748	−	0.272013i	−0.105805	−	0.0194792i
$196$		0			0
$197$	−1.72653	−	6.44350i	−0.123010	−	0.459081i	0.876751	−	0.480945i	$-0.159706\pi$
$197$	−1.72653	−	6.44350i	−0.123010	−	0.459081i	−0.999761	+	0.0218645i	$0.993040\pi$
$198$	−16.6981	−	28.9219i	−1.18668	−	2.05539i
$199$	2.69418	−	4.66645i	0.190985	−	0.330796i	−0.754592	−	0.656194i	$-0.772165\pi$
$199$	2.69418	−	4.66645i	0.190985	−	0.330796i	0.945577	+	0.325398i	$0.105498\pi$
$200$	−5.39873	−	1.44658i	−0.381748	−	0.102289i
$201$	−0.751366	−	0.751366i	−0.0529973	−	0.0529973i
$202$	10.7681	+	2.88530i	0.757639	+	0.203009i
$203$		0			0
$204$	0.0388445	+	0.0672807i	0.00271966	+	0.00471059i
$205$	−23.6259	+	13.6404i	−1.65011	+	0.952689i
$206$	23.4716	−	23.4716i	1.63535	−	1.63535i
$207$	−1.67912	+	0.969438i	−0.116707	+	0.0673806i
$208$	16.1672	−	1.29180i	1.12099	−	0.0895700i
$209$			15.6949i			1.08564i
$210$		0			0
$211$	−1.44964	+	2.51085i	−0.0997974	+	0.172854i	−0.911601	−	0.411077i	$-0.865153\pi$
$211$	−1.44964	+	2.51085i	−0.0997974	+	0.172854i	0.811803	+	0.583931i	$0.198486\pi$
$212$		−	19.6813i		−	1.35172i
$213$	0.161339	−	0.602125i	0.0110548	−	0.0412569i
$214$	5.27224	+	19.6763i	0.360403	+	1.34504i
$215$	12.2615	−	12.2615i	0.836230	−	0.836230i
$216$	−3.66087	+	3.66087i	−0.249091	+	0.249091i
$217$		0			0
$218$	28.7608	+	16.6051i	1.94793	+	1.12464i
$219$	0.109956	−	0.410360i	0.00743011	−	0.0277296i
$220$	22.9506	+	39.7517i	1.54733	+	2.68006i
$221$	0.230577	+	0.334636i	0.0155103	+	0.0225100i
$222$	0.560791	+	0.323773i	0.0376379	+	0.0217302i
$223$	−18.1024	+	4.85053i	−1.21223	+	0.324816i	−0.807636	−	0.589681i	$-0.799253\pi$
$223$	−18.1024	+	4.85053i	−1.21223	+	0.324816i	−0.404593	+	0.914497i	$0.632587\pi$
$224$		0			0
$225$	2.80134	−	1.61735i	0.186756	−	0.107824i
$226$	−1.45930	−	5.44619i	−0.0970714	−	0.362275i
$227$	−6.16588	+	1.65214i	−0.409244	+	0.109657i	−0.457567	−	0.889175i	$-0.651279\pi$
$227$	−6.16588	+	1.65214i	−0.409244	+	0.109657i	0.0483231	+	0.998832i	$0.484612\pi$
$228$	2.29296	−	0.614398i	0.151855	−	0.0406895i
$229$	−4.47928	−	16.7169i	−0.295999	−	1.10468i	−0.940420	−	0.340014i	$-0.889568\pi$
$229$	−4.47928	−	16.7169i	−0.295999	−	1.10468i	0.644421	−	0.764671i	$-0.277098\pi$
$230$	3.43863	−	1.98529i	0.226737	−	0.130906i
$231$		0			0
$232$	27.9921	−	7.50047i	1.83777	−	0.492430i
$233$	−1.08707	−	0.627620i	−0.0712163	−	0.0411167i	0.463969	−	0.885851i	$-0.346425\pi$
$233$	−1.08707	−	0.627620i	−0.0712163	−	0.0411167i	−0.535185	+	0.844735i	$0.679758\pi$
$234$	−17.1357	+	20.1119i	−1.12020	+	1.31476i
$235$	7.31017	+	12.6616i	0.476863	+	0.825950i
$236$	−4.17136	+	15.5677i	−0.271532	+	1.01337i
$237$	−1.78796	−	1.03228i	−0.116140	−	0.0670536i
$238$		0			0
$239$	−8.59429	+	8.59429i	−0.555918	+	0.555918i	−0.928143	−	0.372225i	$-0.878595\pi$
$239$	−8.59429	+	8.59429i	−0.555918	+	0.555918i	0.372225	+	0.928143i	$0.378595\pi$
$240$	1.32532	−	1.32532i	0.0855489	−	0.0855489i
$241$	−0.628903	−	2.34710i	−0.0405112	−	0.151190i	0.942708	−	0.333620i	$-0.108270\pi$
$241$	−0.628903	−	2.34710i	−0.0405112	−	0.151190i	−0.983219	+	0.182430i	$0.941604\pi$
$242$	6.23506	−	23.2696i	0.400805	−	1.49582i
$243$		−	4.50163i		−	0.288779i
$244$	31.3077	−	54.2264i	2.00427	−	3.47149i
$245$		0			0
$246$		−	4.60418i		−	0.293552i
$247$	11.7001	−	4.15895i	0.744463	−	0.264628i
$248$	24.6249	−	14.2172i	1.56368	−	0.902794i
$249$	−0.564177	+	0.564177i	−0.0357532	+	0.0357532i
$250$	20.6131	−	11.9010i	1.30369	−	0.752684i
$251$	7.94802	+	13.7664i	0.501675	+	0.868926i	0.999998	+	0.00193499i	$0.000615928\pi$
$251$	7.94802	+	13.7664i	0.501675	+	0.868926i	−0.498323	+	0.866991i	$0.666051\pi$
$252$		0			0
$253$	−2.87225	−	0.769616i	−0.180577	−	0.0483853i
$254$	8.83685	+	8.83685i	0.554473	+	0.554473i
$255$	0.0453624	+	0.0121548i	0.00284071	+	0.000761165i
$256$	16.2444	−	28.1361i	1.01527	−	1.75851i
$257$	−7.09703	−	12.2924i	−0.442701	−	0.766780i	0.555188	−	0.831725i	$-0.312646\pi$
$257$	−7.09703	−	12.2924i	−0.442701	−	0.766780i	−0.997889	+	0.0649449i	$0.979313\pi$
$258$	0.757443	+	2.82682i	0.0471564	+	0.175990i
$259$		0			0
$260$	23.5522	−	27.6428i	1.46065	−	1.71434i
$261$	−8.38591	+	14.5248i	−0.519075	+	0.899064i
$262$	−9.91123	−	9.91123i	−0.612318	−	0.612318i
$263$	−18.9367			−1.16769			−0.583843	−	0.811866i	$-0.698452\pi$
$263$	−18.9367			−1.16769			−0.583843	+	0.811866i	$0.698452\pi$
$264$	−3.95111			−0.243174
$265$	−8.41264	−	8.41264i	−0.516784	−	0.516784i
$266$		0			0
$267$	0.379708	−	1.41709i	0.0232378	−	0.0867245i
$268$	24.8110	−	6.64809i	1.51557	−	0.406096i
$269$	20.9753	+	12.1101i	1.27889	+	0.738366i	0.976644	−	0.214864i	$-0.0689308\pi$
$269$	20.9753	+	12.1101i	1.27889	+	0.738366i	0.302244	+	0.953231i	$0.402264\pi$
$270$			6.13610i			0.373431i
$271$	−15.2157	−	4.07703i	−0.924286	−	0.247662i	−0.234870	−	0.972027i	$-0.575466\pi$
$271$	−15.2157	−	4.07703i	−0.924286	−	0.247662i	−0.689416	+	0.724365i	$0.742133\pi$
$272$	−0.507001			−0.0307414
$273$		0			0
$274$	−21.0726			−1.27304
$275$	4.79189	+	1.28398i	0.288962	+	0.0774271i
$276$			0.449752i			0.0270719i
$277$	0.646720	+	0.373384i	0.0388576	+	0.0224345i	0.519303	−	0.854590i	$-0.326192\pi$
$277$	0.646720	+	0.373384i	0.0388576	+	0.0224345i	−0.480445	+	0.877025i	$0.659525\pi$
$278$	−27.2684	+	7.30655i	−1.63545	+	0.438218i
$279$	−4.25920	+	15.8956i	−0.254992	+	0.951643i
$280$		0			0
$281$	−0.536856	−	0.536856i	−0.0320261	−	0.0320261i	0.690912	−	0.722939i	$-0.257209\pi$
$281$	−0.536856	−	0.536856i	−0.0320261	−	0.0320261i	−0.722939	+	0.690912i	$0.757209\pi$
$282$	−2.46747			−0.146935
$283$	−19.2686			−1.14540			−0.572701	−	0.819765i	$-0.694104\pi$
$283$	−19.2686			−1.14540			−0.572701	+	0.819765i	$0.694104\pi$
$284$	10.6552	+	10.6552i	0.632269	+	0.632269i
$285$	0.717491	−	1.24273i	0.0425005	−	0.0736130i
$286$	−40.3935	+	3.22753i	−2.38852	+	0.190848i
$287$		0			0
$288$	−0.634278	−	2.36716i	−0.0373752	−	0.139486i
$289$	8.49365	+	14.7114i	0.499626	+	0.865378i
$290$	17.1734	−	29.7451i	1.00845	−	1.74669i
$291$	−0.658092	−	0.176335i	−0.0385780	−	0.0103370i
$292$	7.26173	+	7.26173i	0.424960	+	0.424960i
$293$	14.0543	+	3.76584i	0.821062	+	0.220003i	0.644811	−	0.764342i	$-0.276936\pi$
$293$	14.0543	+	3.76584i	0.821062	+	0.220003i	0.176251	+	0.984345i	$0.443603\pi$
$294$		0			0
$295$	4.87129	+	8.43733i	0.283618	+	0.491240i
$296$	−6.91409	+	3.99185i	−0.401874	+	0.232022i
$297$	3.24938	−	3.24938i	0.188548	−	0.188548i
$298$	16.2907	−	9.40544i	0.943695	−	0.544843i
$299$	0.187381	+	2.34512i	0.0108365	+	0.135622i
$300$		−	0.750340i		−	0.0433209i
$301$		0			0
$302$	8.13643	−	14.0927i	0.468199	−	0.810944i
$303$			0.763317i			0.0438514i
$304$	−4.00958	+	14.9639i	−0.229965	+	0.858241i
$305$	−9.79647	−	36.5609i	−0.560944	−	2.09347i
$306$	0.584040	−	0.584040i	0.0333873	−	0.0333873i
$307$	9.47209	−	9.47209i	0.540601	−	0.540601i	−0.383104	−	0.923705i	$-0.625145\pi$
$307$	9.47209	−	9.47209i	0.540601	−	0.540601i	0.923705	+	0.383104i	$0.125145\pi$
$308$		0			0
$309$	1.96834	+	1.13642i	0.111975	+	0.0646487i
$310$	8.72235	−	32.5522i	0.495396	−	1.84884i
$311$	−4.14087	−	7.17220i	−0.234807	−	0.406698i	0.724409	−	0.689370i	$-0.242113\pi$
$311$	−4.14087	−	7.17220i	−0.234807	−	0.406698i	−0.959217	+	0.282672i	$0.908779\pi$
$312$	1.04700	+	2.94545i	0.0592744	+	0.166753i
$313$	4.98156	+	2.87611i	0.281574	+	0.162567i	0.634136	−	0.773222i	$-0.281356\pi$
$313$	4.98156	+	2.87611i	0.281574	+	0.162567i	−0.352562	+	0.935789i	$0.614689\pi$
$314$	22.5725	−	6.04827i	1.27384	−	0.341324i
$315$		0			0
$316$	43.2206	−	24.9534i	2.43135	−	1.40374i
$317$	−2.66479	−	9.94515i	−0.149670	−	0.558575i	−0.999503	−	0.0315235i	$-0.989964\pi$
$317$	−2.66479	−	9.94515i	−0.149670	−	0.558575i	0.849833	−	0.527052i	$-0.176703\pi$
$318$	1.93948	−	0.519681i	0.108760	−	0.0291423i
$319$	−24.8457	+	6.65739i	−1.39109	+	0.372742i
$320$	−4.44660	−	16.5949i	−0.248573	−	0.927685i
$321$	−1.20793	+	0.697397i	−0.0674199	+	0.0389249i
$322$		0			0
$323$	−0.374942	+	0.100465i	−0.0208623	+	0.00559004i
$324$	30.9111	+	17.8466i	1.71729	+	0.991475i
$325$	−0.312615	−	3.91247i	−0.0173408	−	0.217025i
$326$	−22.7850	−	39.4647i	−1.26194	−	2.18575i
$327$	−0.588543	+	2.19647i	−0.0325465	+	0.121465i
$328$	49.1605	+	28.3829i	2.71444	+	1.56718i
$329$		0			0
$330$	−3.31129	+	3.31129i	−0.182280	+	0.182280i
$331$	−12.2547	+	12.2547i	−0.673578	+	0.673578i	−0.958539	−	0.284961i	$-0.908019\pi$
$331$	−12.2547	+	12.2547i	−0.673578	+	0.673578i	0.284961	+	0.958539i	$0.408019\pi$
$332$	−4.99183	−	18.6298i	−0.273962	−	1.02244i
$333$	1.19588	−	4.46309i	0.0655340	−	0.244576i
$334$			40.4777i			2.21484i
$335$	7.76360	−	13.4470i	0.424171	−	0.734686i
$336$		0			0
$337$		−	12.1069i		−	0.659506i	−0.944067	−	0.329753i	$-0.893035\pi$
$337$		−	12.1069i		−	0.659506i	0.944067	−	0.329753i	$-0.106965\pi$
$338$	13.1098	+	29.2571i	0.713081	+	1.59138i
$339$	0.334342	−	0.193032i	0.0181589	−	0.0104841i
$340$	−0.802734	+	0.802734i	−0.0435343	+	0.0435343i
$341$	−21.8570	+	12.6192i	−1.18362	+	0.683365i
$342$	−12.6189	−	21.8566i	−0.682351	−	1.18187i
$343$		0			0
$344$	−34.8523	−	9.33865i	−1.87911	−	0.503506i
$345$	0.192243	+	0.192243i	0.0103500	+	0.0103500i
$346$	43.4438	+	11.6407i	2.33555	+	0.625810i
$347$	1.43395	−	2.48367i	0.0769783	−	0.133330i	−0.824967	−	0.565182i	$-0.808806\pi$
$347$	1.43395	−	2.48367i	0.0769783	−	0.133330i	0.901945	+	0.431851i	$0.142139\pi$
$348$	1.94524	+	3.36925i	0.104276	+	0.180611i
$349$	3.12009	+	11.6443i	0.167014	+	0.623306i	0.997775	+	0.0666760i	$0.0212394\pi$
$349$	3.12009	+	11.6443i	0.167014	+	0.623306i	−0.830760	+	0.556630i	$0.812094\pi$
$350$		0			0
$351$	−3.28338	−	1.56128i	−0.175254	−	0.0833352i
$352$	1.87924	−	3.25493i	0.100164	−	0.173488i
$353$	21.5713	+	21.5713i	1.14812	+	1.14812i	0.986921	+	0.161202i	$0.0515371\pi$
$353$	21.5713	+	21.5713i	1.14812	+	1.14812i	0.161202	+	0.986921i	$0.448463\pi$
$354$	−1.64425			−0.0873910
$355$	9.10897			0.483454
$356$	25.0768	+	25.0768i	1.32907	+	1.32907i
$357$		0			0
$358$	−15.0521	+	56.1751i	−0.795527	+	2.96895i
$359$	17.2907	−	4.63302i	0.912566	−	0.244521i	0.228161	−	0.973623i	$-0.426729\pi$
$359$	17.2907	−	4.63302i	0.912566	−	0.244521i	0.684405	+	0.729102i	$0.260062\pi$
$360$	−32.6023	−	18.8230i	−1.71829	−	0.992057i
$361$		−	7.13920i		−	0.375748i
$362$	−11.0802	−	2.96892i	−0.582361	−	0.156043i
$363$	1.64951			0.0865769
$364$		0			0
$365$	6.20794			0.324939
$366$	6.17037	+	1.65335i	0.322530	+	0.0864217i
$367$		−	7.23142i		−	0.377477i	−0.982027	−	0.188738i	$-0.939560\pi$
$367$		−	7.23142i		−	0.377477i	0.982027	−	0.188738i	$-0.0604398\pi$
$368$	−2.54186	−	1.46755i	−0.132504	−	0.0765011i
$369$	−31.7335	+	8.50296i	−1.65198	+	0.442646i
$370$	−2.44903	+	9.13989i	−0.127319	+	0.475160i
$371$		0			0
$372$	2.69923	+	2.69923i	0.139949	+	0.139949i
$373$	−24.4175			−1.26429			−0.632145	−	0.774850i	$-0.717825\pi$
$373$	−24.4175			−1.26429			−0.632145	+	0.774850i	$0.717825\pi$
$374$	1.26673			0.0655012
$375$	1.15241	+	1.15241i	0.0595104	+	0.0595104i
$376$	15.2109	−	26.3461i	0.784443	−	1.35869i
$377$	11.5467	+	16.7577i	0.594687	+	0.863067i
$378$		0			0
$379$	−2.27080	−	8.47475i	−0.116643	−	0.435319i	0.882761	−	0.469822i	$-0.155682\pi$
$379$	−2.27080	−	8.47475i	−0.116643	−	0.435319i	−0.999405	+	0.0345031i	$0.989015\pi$
$380$	17.3440	+	30.0408i	0.889730	+	1.54106i
$381$	−0.427852	+	0.741061i	−0.0219195	+	0.0379657i
$382$	−18.3413	−	4.91454i	−0.938422	−	0.251449i
$383$	12.4385	+	12.4385i	0.635576	+	0.635576i	0.949461	−	0.313885i	$-0.101631\pi$
$383$	12.4385	+	12.4385i	0.635576	+	0.635576i	−0.313885	+	0.949461i	$0.601631\pi$
$384$	3.06976	+	0.822539i	0.156653	+	0.0419750i
$385$		0			0
$386$	−0.307320	−	0.532294i	−0.0156422	−	0.0270931i
$387$	18.0845	−	10.4411i	0.919286	−	0.530750i
$388$	11.6456	−	11.6456i	0.591215	−	0.591215i
$389$	−8.77740	+	5.06764i	−0.445032	+	0.256939i	−0.705730	−	0.708481i	$-0.749381\pi$
$389$	−8.77740	+	5.06764i	−0.445032	+	0.256939i	0.260698	+	0.965420i	$0.416047\pi$
$390$	3.34593	+	1.59103i	0.169428	+	0.0805649i
$391$		−	0.0735427i		−	0.00371921i
$392$		0			0
$393$	0.479870	−	0.831159i	0.0242062	−	0.0419264i
$394$			16.4513i			0.828802i
$395$	7.80817	−	29.1405i	0.392872	−	1.46622i
$396$	14.3066	+	53.3930i	0.718934	+	2.68310i
$397$	5.97563	−	5.97563i	0.299908	−	0.299908i	−0.541070	−	0.840978i	$-0.681980\pi$
$397$	5.97563	−	5.97563i	0.299908	−	0.299908i	0.840978	+	0.541070i	$0.181980\pi$
$398$	−9.39641	+	9.39641i	−0.470999	+	0.470999i
$399$		0			0
$400$	4.24070	+	2.44837i	0.212035	+	0.122419i
$401$	2.43442	−	9.08540i	0.121569	−	0.453703i	−0.878125	−	0.478432i	$-0.841205\pi$
$401$	2.43442	−	9.08540i	0.121569	−	0.453703i	0.999694	+	0.0247285i	$0.00787214\pi$
$402$	1.31026	+	2.26944i	0.0653498	+	0.113189i
$403$	15.1991	+	12.9499i	0.757121	+	0.645082i
$404$	−15.9797	−	9.22590i	−0.795021	−	0.459006i
$405$	20.8411	−	5.58436i	1.03560	−	0.277489i
$406$		0			0
$407$	6.13693	−	3.54316i	0.304196	−	0.175628i
$408$	−0.0252916	−	0.0943896i	−0.00125212	−	0.00467298i
$409$	−24.5428	+	6.57622i	−1.21356	+	0.325173i	−0.808159	−	0.588964i	$-0.799536\pi$
$409$	−24.5428	+	6.57622i	−1.21356	+	0.325173i	−0.405404	+	0.914138i	$0.632869\pi$
$410$	64.9864	−	17.4131i	3.20945	−	0.859970i
$411$	−0.373444	−	1.39371i	−0.0184206	−	0.0687467i
$412$	−47.5810	+	27.4709i	−2.34415	+	1.35339i
$413$		0			0
$414$	4.61864	−	1.23756i	0.226994	−	0.0608228i
$415$	−10.0969	−	5.82944i	−0.495636	−	0.286156i
$416$	−2.92444	−	0.538406i	−0.143383	−	0.0263975i
$417$	−0.966489	−	1.67401i	−0.0473292	−	0.0819765i
$418$	10.0179	−	37.3872i	0.489990	−	1.82867i
$419$	−17.4075	−	10.0503i	−0.850414	−	0.490987i	0.0103762	−	0.999946i	$-0.496697\pi$
$419$	−17.4075	−	10.0503i	−0.850414	−	0.490987i	−0.860791	+	0.508959i	$0.830030\pi$
$420$		0			0
$421$	−2.51951	+	2.51951i	−0.122793	+	0.122793i	−0.765833	−	0.643040i	$-0.777673\pi$
$421$	−2.51951	+	2.51951i	−0.122793	+	0.122793i	0.643040	+	0.765833i	$0.277673\pi$
$422$	5.05587	−	5.05587i	0.246116	−	0.246116i
$423$	4.55690	+	17.0066i	0.221564	+	0.826888i
$424$	−6.40724	+	23.9122i	−0.311163	+	1.16128i
$425$			0.122694i			0.00595155i
$426$	−0.768658	+	1.33135i	−0.0372416	+	0.0645044i
$427$		0			0
$428$		−	33.7166i		−	1.62975i
$429$	−0.929309	−	2.61437i	−0.0448675	−	0.126223i
$430$	−37.0349	+	21.3821i	−1.78598	+	1.03114i
$431$	−16.9512	+	16.9512i	−0.816511	+	0.816511i	−0.985601	−	0.169089i	$-0.945917\pi$
$431$	−16.9512	+	16.9512i	−0.816511	+	0.816511i	0.169089	+	0.985601i	$0.445917\pi$
$432$	3.92817	−	2.26793i	0.188994	−	0.109116i
$433$	−11.7141	−	20.2893i	−0.562941	−	0.975043i	−0.997238	−	0.0742732i	$-0.976336\pi$
$433$	−11.7141	−	20.2893i	−0.562941	−	0.975043i	0.434296	−	0.900770i	$-0.356997\pi$
$434$		0			0
$435$	2.27164	+	0.608684i	0.108917	+	0.0291842i
$436$	−38.8687	−	38.8687i	−1.86148	−	1.86148i
$437$	−2.17059	−	0.581607i	−0.103833	−	0.0278220i
$438$	−0.523856	+	0.907345i	−0.0250308	+	0.0433546i
$439$	16.8821	+	29.2406i	0.805738	+	1.39558i	0.915792	+	0.401654i	$0.131565\pi$
$439$	16.8821	+	29.2406i	0.805738	+	1.39558i	−0.110053	+	0.993926i	$0.535102\pi$
$440$	−14.9431	−	55.7686i	−0.712386	−	2.65866i
$441$		0			0
$442$	−0.335669	−	0.944318i	−0.0159661	−	0.0449166i
$443$	−15.5134	+	26.8699i	−0.737062	+	1.27663i	0.216750	+	0.976227i	$0.430454\pi$
$443$	−15.5134	+	26.8699i	−0.737062	+	1.27663i	−0.953813	+	0.300402i	$0.902879\pi$
$444$	−0.757880	−	0.757880i	−0.0359674	−	0.0359674i
$445$	21.4378			1.01625
$446$	46.2183			2.18850
$447$	0.910762	+	0.910762i	0.0430776	+	0.0430776i
$448$		0			0
$449$	−0.388197	+	1.44877i	−0.0183202	+	0.0683718i	−0.974481	−	0.224471i	$-0.927935\pi$
$449$	−0.388197	+	1.44877i	−0.0183202	+	0.0683718i	0.956161	+	0.292843i	$0.0946013\pi$
$450$	−7.70548	+	2.06468i	−0.363240	+	0.0973298i
$451$	−43.6347	−	25.1925i	−2.05468	−	1.18627i
$452$			9.33241i			0.438960i
$453$	1.07626	+	0.288384i	0.0505673	+	0.0135495i
$454$	15.7424			0.738829
$455$		0			0
$456$	−2.98589			−0.139827
$457$	−29.6375	−	7.94134i	−1.38638	−	0.371480i	−0.512948	−	0.858420i	$-0.671447\pi$
$457$	−29.6375	−	7.94134i	−1.38638	−	0.371480i	−0.873436	+	0.486940i	$0.838113\pi$
$458$			42.6808i			1.99434i
$459$	0.0984255	+	0.0568260i	0.00459411	+	0.00265241i
$460$	−6.34809	+	1.70097i	−0.295981	+	0.0793080i
$461$	6.69670	−	24.9924i	0.311896	−	1.16401i	−0.614948	−	0.788568i	$-0.710823\pi$
$461$	6.69670	−	24.9924i	0.311896	−	1.16401i	0.926845	−	0.375445i	$-0.122510\pi$
$462$		0			0
$463$	−26.5381	−	26.5381i	−1.23333	−	1.23333i	−0.962677	−	0.270652i	$-0.912761\pi$
$463$	−26.5381	−	26.5381i	−1.23333	−	1.23333i	−0.270652	−	0.962677i	$-0.587239\pi$
$464$	−25.3894			−1.17867
$465$	2.30753			0.107009
$466$	2.18893	+	2.18893i	0.101400	+	0.101400i
$467$	4.11119	−	7.12080i	0.190243	−	0.329511i	−0.755087	−	0.655624i	$-0.772406\pi$
$467$	4.11119	−	7.12080i	0.190243	−	0.329511i	0.945331	+	0.326113i	$0.105739\pi$
$468$	36.0120	−	24.8137i	1.66466	−	1.14701i
$469$		0			0
$470$	−9.33199	−	34.8274i	−0.430452	−	1.60647i
$471$	0.800048	+	1.38572i	0.0368643	+	0.0638508i
$472$	10.1361	−	17.5563i	0.466553	−	0.808094i
$473$	30.9348	+	8.28895i	1.42238	+	0.381127i
$474$	3.60024	+	3.60024i	0.165365	+	0.165365i
$475$	3.62128	+	0.970319i	0.166156	+	0.0445213i
$476$		0			0
$477$	−7.16362	−	12.4078i	−0.328000	−	0.568112i
$478$	25.9583	−	14.9870i	1.18730	−	0.685490i
$479$	−15.3710	+	15.3710i	−0.702321	+	0.702321i	−0.964908	−	0.262587i	$-0.915424\pi$
$479$	−15.3710	+	15.3710i	−0.702321	+	0.702321i	0.262587	+	0.964908i	$0.415424\pi$
$480$	−0.297598	+	0.171818i	−0.0135834	+	0.00784239i
$481$	−4.26754	−	3.63603i	−0.194583	−	0.165789i
$482$			5.99250i			0.272951i
$483$		0			0
$484$	−19.9370	+	34.5318i	−0.906225	+	1.56963i
$485$		−	9.95565i		−	0.452063i
$486$	−2.87333	+	10.7234i	−0.130337	+	0.486425i
$487$	4.67045	+	17.4304i	0.211638	+	0.789845i	0.987323	+	0.158724i	$0.0507380\pi$
$487$	4.67045	+	17.4304i	0.211638	+	0.789845i	−0.775685	+	0.631121i	$0.782595\pi$
$488$	−55.6912	+	55.6912i	−2.52102	+	2.52102i
$489$	2.20635	−	2.20635i	0.0997746	−	0.0997746i
$490$		0			0
$491$	5.63350	+	3.25250i	0.254236	+	0.146783i	0.621703	−	0.783253i	$-0.286441\pi$
$491$	5.63350	+	3.25250i	0.254236	+	0.146783i	−0.367466	+	0.930037i	$0.619775\pi$
$492$	−1.97239	+	7.36106i	−0.0889222	+	0.331862i
$493$	−0.318082	−	0.550935i	−0.0143257	−	0.0248129i
$494$	−30.5258	+	2.43908i	−1.37342	+	0.109739i
$495$	28.9377	+	16.7072i	1.30065	+	0.750932i
$496$	−24.0629	+	6.44763i	−1.08046	+	0.289507i
$497$		0			0
$498$	1.70405	−	0.983831i	0.0763601	−	0.0440865i
$499$	−5.21221	−	19.4522i	−0.233331	−	0.870802i	−0.978894	−	0.204367i	$-0.934486\pi$
$499$	−5.21221	−	19.4522i	−0.233331	−	0.870802i	0.745564	−	0.666434i	$-0.232180\pi$
$500$	−38.0541	+	10.1966i	−1.70183	+	0.456004i
$501$	−2.67714	+	0.717337i	−0.119606	+	0.0320482i
$502$	−10.1463	−	37.8664i	−0.452850	−	1.69006i
$503$	−17.1138	+	9.88067i	−0.763068	+	0.440557i	−0.830396	−	0.557173i	$-0.811886\pi$
$503$	−17.1138	+	9.88067i	−0.763068	+	0.440557i	0.0673282	+	0.997731i	$0.478553\pi$
$504$		0			0
$505$	−10.7740	+	2.88687i	−0.479435	+	0.128464i
$506$	6.35081	+	3.66664i	0.282328	+	0.163002i
$507$	−1.70269	+	1.38555i	−0.0756192	+	0.0615346i
$508$	−10.3425	−	17.9138i	−0.458876	−	0.794796i
$509$	7.72118	−	28.8158i	0.342235	−	1.27724i	−0.553573	−	0.832800i	$-0.686736\pi$
$509$	7.72118	−	28.8158i	0.342235	−	1.27724i	0.895809	−	0.444440i	$-0.146597\pi$
$510$	−0.100301	−	0.0579086i	−0.00444139	−	0.00256424i
$511$		0			0
$512$	−30.0390	+	30.0390i	−1.32755	+	1.32755i
$513$	2.45559	−	2.45559i	0.108417	−	0.108417i
$514$	9.05990	+	33.8120i	0.399615	+	1.49138i
$515$	−8.59591	+	32.0804i	−0.378781	+	1.41363i
$516$		−	4.84394i		−	0.213242i
$517$	−13.5012	+	23.3847i	−0.593780	+	1.02846i
$518$		0			0
$519$			3.07961i			0.135180i
$520$	−37.6143	+	25.9177i	−1.64950	+	1.13657i
$521$	−6.67564	+	3.85418i	−0.292465	+	0.168855i	−0.639053	−	0.769163i	$-0.720674\pi$
$521$	−6.67564	+	3.85418i	−0.292465	+	0.168855i	0.346588	+	0.938018i	$0.387340\pi$
$522$	29.2473	−	29.2473i	1.28012	−	1.28012i
$523$	−0.0132276	+	0.00763696i	−0.000578403	+	0.000333941i	−0.500289	−	0.865858i	$-0.666773\pi$
$523$	−0.0132276	+	0.00763696i	−0.000578403	+	0.000333941i	0.499711	+	0.866192i	$0.333440\pi$
$524$	11.6000	+	20.0918i	0.506748	+	0.877713i
$525$		0			0
$526$	45.1096	+	12.0871i	1.96687	+	0.527021i
$527$	−0.441374	−	0.441374i	−0.0192266	−	0.0192266i
$528$	3.34366	+	0.895931i	0.145514	+	0.0389904i
$529$	−11.2871	+	19.5499i	−0.490745	+	0.849995i
$530$	14.6703	+	25.4096i	0.637235	+	1.10372i
$531$	3.03659	+	11.3327i	0.131777	+	0.491798i
$532$		0			0
$533$	−7.21772	+	39.2043i	−0.312634	+	1.69813i
$534$	−1.80902	+	3.13332i	−0.0782841	+	0.135592i
$535$	−14.4119	−	14.4119i	−0.623081	−	0.623081i
$536$	−32.3088			−1.39553
$537$	−3.98209			−0.171840
$538$	−42.2361	−	42.2361i	−1.82093	−	1.82093i
$539$		0			0
$540$	2.62865	−	9.81027i	0.113119	−	0.422167i
$541$	44.8251	−	12.0108i	1.92718	−	0.516386i	0.945602	−	0.325325i	$-0.105474\pi$
$541$	44.8251	−	12.0108i	1.92718	−	0.516386i	0.981578	−	0.191061i	$-0.0611929\pi$
$542$	33.6433	+	19.4240i	1.44510	+	0.834331i
$543$		−	0.785441i		−	0.0337065i
$544$	0.0897876	+	0.0240585i	0.00384961	+	0.00103150i
$545$	−33.2283			−1.42334
$546$		0			0
$547$	22.9225			0.980097			0.490049	−	0.871695i	$-0.336979\pi$
$547$	22.9225			0.980097			0.490049	+	0.871695i	$0.336979\pi$
$548$	33.6904	+	9.02732i	1.43918	+	0.385628i
$549$		−	45.5815i		−	1.94537i
$550$	−10.5953	−	6.11721i	−0.451786	−	0.260839i
$551$	−18.7762	+	5.03106i	−0.799892	+	0.214330i
$552$	0.146416	−	0.546434i	0.00623190	−	0.0232578i
$553$		0			0
$554$	−1.30224	−	1.30224i	−0.0553269	−	0.0553269i
$555$	−0.647900			−0.0275018
$556$	46.7262			1.98163
$557$	−11.4807	−	11.4807i	−0.486454	−	0.486454i	0.420731	−	0.907185i	$-0.361774\pi$
$557$	−11.4807	−	11.4807i	−0.486454	−	0.486454i	−0.907185	+	0.420731i	$0.861774\pi$
$558$	20.2919	−	35.1466i	0.859025	−	1.48787i
$559$	−2.01814	−	25.2576i	−0.0853581	−	1.06828i
$560$		0			0
$561$	0.0224488	+	0.0837799i	0.000947788	+	0.00353719i
$562$	0.936188	+	1.62153i	0.0394907	+	0.0683999i
$563$	−5.26168	+	9.11349i	−0.221753	+	0.384088i	−0.955340	−	0.295507i	$-0.904511\pi$
$563$	−5.26168	+	9.11349i	−0.221753	+	0.384088i	0.733587	+	0.679595i	$0.237845\pi$
$564$	3.94493	+	1.05704i	0.166112	+	0.0445095i
$565$	3.98907	+	3.98907i	0.167821	+	0.167821i
$566$	45.9003	+	12.2989i	1.92933	+	0.516963i
$567$		0			0
$568$	−9.47692	−	16.4145i	−0.397643	−	0.688737i
$569$	−30.8836	+	17.8307i	−1.29471	+	0.747500i	−0.979485	−	0.201518i	$-0.935413\pi$
$569$	−30.8836	+	17.8307i	−1.29471	+	0.747500i	−0.315223	+	0.949018i	$0.602079\pi$
$570$	−2.50237	+	2.50237i	−0.104813	+	0.104813i
$571$	−9.54352	+	5.50995i	−0.399384	+	0.230584i	−0.686218	−	0.727396i	$-0.740730\pi$
$571$	−9.54352	+	5.50995i	−0.399384	+	0.230584i	0.286834	+	0.957980i	$0.407397\pi$
$572$	65.9630	+	12.1441i	2.75805	+	0.507772i
$573$		−	1.30016i		−	0.0543150i
$574$		0			0
$575$	−0.355147	+	0.615132i	−0.0148106	+	0.0256528i
$576$		−	20.6894i		−	0.862057i
$577$	7.15076	−	26.6870i	0.297690	−	1.11099i	−0.641367	−	0.767234i	$-0.721633\pi$
$577$	7.15076	−	26.6870i	0.297690	−	1.11099i	0.939057	−	0.343760i	$-0.111701\pi$
$578$	−10.8428	−	40.4658i	−0.451001	−	1.68316i
$579$	0.0297589	−	0.0297589i	0.00123674	−	0.00123674i
$580$	−40.1989	+	40.1989i	−1.66917	+	1.66917i
$581$		0			0
$582$	1.45510	+	0.840105i	0.0603160	+	0.0348235i
$583$	5.68705	−	21.2243i	0.235533	−	0.879023i
$584$	−6.45871	−	11.1868i	−0.267263	−	0.462914i
$585$	4.78665	−	25.9995i	0.197904	−	1.07495i
$586$	−31.0754	−	17.9414i	−1.28371	−	0.741153i
$587$	−7.45089	+	1.99646i	−0.307531	+	0.0824027i	−0.409284	−	0.912407i	$-0.634222\pi$
$587$	−7.45089	+	1.99646i	−0.307531	+	0.0824027i	0.101753	+	0.994810i	$0.467555\pi$
$588$		0			0
$589$	−16.5176	+	9.53642i	−0.680594	+	0.392941i
$590$	−6.21858	−	23.2081i	−0.256015	−	0.955460i
$591$	−1.08806	+	0.291545i	−0.0447569	+	0.0119926i
$592$	6.75629	−	1.81034i	0.277682	−	0.0744046i
$593$	−2.65081	−	9.89297i	−0.108856	−	0.406256i	0.889898	−	0.456159i	$-0.150775\pi$
$593$	−2.65081	−	9.89297i	−0.108856	−	0.406256i	−0.998754	+	0.0499035i	$0.984109\pi$
$594$	−9.81446	+	5.66638i	−0.402692	+	0.232495i
$595$		0			0
$596$	−30.0744	+	8.05842i	−1.23190	+	0.330086i
$597$	−0.787985	−	0.454944i	−0.0322501	−	0.0186196i
$598$	1.05050	−	5.70598i	0.0429582	−	0.233335i
$599$	19.8784	+	34.4305i	0.812211	+	1.40679i	0.911313	+	0.411714i	$0.135070\pi$
$599$	19.8784	+	34.4305i	0.812211	+	1.40679i	−0.0991022	+	0.995077i	$0.531597\pi$
$600$	−0.244273	+	0.911638i	−0.00997240	+	0.0372175i
$601$	5.65826	+	3.26680i	0.230805	+	0.133255i	0.610943	−	0.791674i	$-0.290790\pi$
$601$	5.65826	+	3.26680i	0.230805	+	0.133255i	−0.380138	+	0.924930i	$0.624124\pi$
$602$		0			0
$603$	13.2219	−	13.2219i	0.538437	−	0.538437i
$604$	−19.0456	+	19.0456i	−0.774953	+	0.774953i
$605$	6.23847	+	23.2823i	0.253630	+	0.946560i
$606$	0.487216	−	1.81832i	0.0197918	−	0.0738640i
$607$		−	6.78544i		−	0.275413i	−0.990473	−	0.137706i	$-0.956027\pi$
$607$		−	6.78544i		−	0.275413i	0.990473	−	0.137706i	$-0.0439730\pi$
$608$	1.42016	−	2.45979i	0.0575950	−	0.0997575i
$609$		0			0
$610$			93.3456i			3.77945i
$611$	21.0103	+	3.86811i	0.849987	+	0.156487i
$612$	−1.18395	+	0.683553i	−0.0478583	+	0.0276310i
$613$	−13.9748	+	13.9748i	−0.564436	+	0.564436i	−0.930564	−	0.366128i	$-0.880683\pi$
$613$	−13.9748	+	13.9748i	−0.564436	+	0.564436i	0.366128	+	0.930564i	$0.380683\pi$
$614$	−28.6096	+	16.5178i	−1.15459	+	0.666603i
$615$	2.30335	+	3.98952i	0.0928800	+	0.160873i
$616$		0			0
$617$	−2.05438	−	0.550470i	−0.0827063	−	0.0221611i	0.217229	−	0.976121i	$-0.430298\pi$
$617$	−2.05438	−	0.550470i	−0.0827063	−	0.0221611i	−0.299935	+	0.953960i	$0.596965\pi$
$618$	−3.96346	−	3.96346i	−0.159434	−	0.159434i
$619$	28.7560	+	7.70516i	1.15580	+	0.309696i	0.785288	−	0.619130i	$-0.212515\pi$
$619$	28.7560	+	7.70516i	1.15580	+	0.309696i	0.370514	+	0.928827i	$0.379181\pi$
$620$	−27.8902	+	48.3073i	−1.12010	+	1.94007i
$621$	0.328973	+	0.569798i	0.0132012	+	0.0228652i
$622$	5.28614	+	19.7281i	0.211955	+	0.791027i
$623$		0			0
$624$	−0.218135	−	2.73003i	−0.00873239	−	0.109288i
$625$	−14.6290	+	25.3381i	−0.585158	+	1.01352i
$626$	−10.0309	−	10.0309i	−0.400916	−	0.400916i
$627$	2.65027			0.105842
$628$	−38.6794			−1.54348
$629$	0.123927	+	0.123927i	0.00494130	+	0.00494130i
$630$		0			0
$631$	6.04595	−	22.5638i	0.240686	−	0.898251i	−0.734817	−	0.678265i	$-0.762732\pi$
$631$	6.04595	−	22.5638i	0.240686	−	0.898251i	0.975503	−	0.219986i	$-0.0706011\pi$
$632$	−60.6352	+	16.2472i	−2.41194	+	0.646277i
$633$	0.423987	+	0.244789i	0.0168520	+	0.00972949i
$634$			25.3915i			1.00842i
$635$	−12.0780	−	3.23628i	−0.479299	−	0.128428i
$636$	−3.32342			−0.131782
$637$		0			0
$638$	63.4349			2.51141
$639$	10.5957	+	2.83910i	0.419158	+	0.112313i
$640$			46.4394i			1.83568i
$641$	−22.1576	−	12.7927i	−0.875171	−	0.505280i	−0.00610804	−	0.999981i	$-0.501944\pi$
$641$	−22.1576	−	12.7927i	−0.875171	−	0.505280i	−0.869063	+	0.494701i	$0.835278\pi$
$642$	3.32257	−	0.890280i	0.131131	−	0.0351366i
$643$	−7.72960	+	28.8473i	−0.304826	+	1.13763i	0.628269	+	0.777996i	$0.283764\pi$
$643$	−7.72960	+	28.8473i	−0.304826	+	1.13763i	−0.933095	+	0.359630i	$0.882903\pi$
$644$		0			0
$645$	−2.07051	−	2.07051i	−0.0815261	−	0.0815261i
$646$	0.957284			0.0376638
$647$	−2.82636			−0.111115			−0.0555577	−	0.998455i	$-0.517694\pi$
$647$	−2.82636			−0.111115			−0.0555577	+	0.998455i	$0.517694\pi$
$648$	−31.7461	−	31.7461i	−1.24710	−	1.24710i
$649$	−8.99679	+	15.5829i	−0.353155	+	0.611683i
$650$	−1.75260	+	9.51953i	−0.0687425	+	0.373387i
$651$		0			0
$652$	19.5218	+	72.8563i	0.764532	+	2.85327i
$653$	−13.0506	−	22.6043i	−0.510711	−	0.884577i	−0.999923	−	0.0124119i	$-0.996049\pi$
$653$	−13.0506	−	22.6043i	−0.510711	−	0.884577i	0.489212	−	0.872165i	$-0.337284\pi$
$654$	2.80396	−	4.85661i	0.109644	−	0.189908i
$655$	13.5464	+	3.62975i	0.529302	+	0.141826i
$656$	−35.1666	−	35.1666i	−1.37303	−	1.37303i
$657$	7.22116	+	1.93490i	0.281724	+	0.0754878i
$658$		0			0
$659$	−9.04837	−	15.6722i	−0.352475	−	0.610504i	0.634208	−	0.773163i	$-0.281326\pi$
$659$	−9.04837	−	15.6722i	−0.352475	−	0.610504i	−0.986682	+	0.162659i	$0.947993\pi$
$660$	6.71254	−	3.87549i	0.261285	−	0.150853i
$661$	1.00266	−	1.00266i	0.0389988	−	0.0389988i	−0.687338	−	0.726337i	$-0.741221\pi$
$661$	1.00266	−	1.00266i	0.0389988	−	0.0389988i	0.726337	+	0.687338i	$0.241221\pi$
$662$	37.0142	−	21.3702i	1.43860	−	0.830574i
$663$	0.0565072	−	0.0389356i	0.00219456	−	0.00151213i
$664$			24.2596i			0.941457i
$665$		0			0
$666$	−5.69748	+	9.86833i	−0.220773	+	0.382390i
$667$		−	3.68284i		−	0.142600i
$668$	17.3403	−	64.7149i	0.670917	−	2.50389i
$669$	0.819070	+	3.05681i	0.0316671	+	0.118183i
$670$	−27.0769	+	27.0769i	−1.04607	+	1.04607i
$671$	49.4313	−	49.4313i	1.90827	−	1.90827i
$672$		0			0
$673$	−3.78674	−	2.18627i	−0.145968	−	0.0842747i	0.425237	−	0.905082i	$-0.360191\pi$
$673$	−3.78674	−	2.18627i	−0.145968	−	0.0842747i	−0.571205	+	0.820807i	$0.693524\pi$
$674$	−7.72770	+	28.8402i	−0.297660	+	1.11088i
$675$	−0.548839	−	0.950618i	−0.0211248	−	0.0365893i
$676$	−8.42623	−	52.3918i	−0.324086	−	2.01507i
$677$	40.1930	+	23.2054i	1.54474	+	0.891857i	0.998530	+	0.0542097i	$0.0172639\pi$
$677$	40.1930	+	23.2054i	1.54474	+	0.891857i	0.546212	+	0.837647i	$0.316069\pi$
$678$	−0.919654	+	0.246420i	−0.0353191	+	0.00946372i
$679$		0			0
$680$	1.23662	−	0.713966i	0.0474224	−	0.0273793i
$681$	0.278984	+	1.04118i	0.0106907	+	0.0398982i
$682$	60.1208	−	16.1093i	2.30214	−	0.616857i
$683$	−3.75185	+	1.00531i	−0.143561	+	0.0384669i	−0.329884	−	0.944022i	$-0.607010\pi$
$683$	−3.75185	+	1.00531i	−0.143561	+	0.0384669i	0.186323	+	0.982489i	$0.440343\pi$
$684$	10.8116	+	40.3496i	0.413394	+	1.54281i
$685$	18.2594	−	10.5421i	0.697655	−	0.402791i
$686$		0			0
$687$	−2.82285	+	0.756380i	−0.107698	+	0.0288577i
$688$	27.3765	+	15.8058i	1.04372	+	0.602592i
$689$	−17.3292	+	1.38464i	−0.660190	+	0.0527507i
$690$	−0.335240	−	0.580653i	−0.0127624	−	0.0221051i
$691$	−11.2460	+	41.9705i	−0.427817	+	1.59663i	0.329878	+	0.944024i	$0.392992\pi$
$691$	−11.2460	+	41.9705i	−0.427817	+	1.59663i	−0.757695	+	0.652609i	$0.773674\pi$
$692$	−64.4703	−	37.2219i	−2.45079	−	1.41497i
$693$		0			0
$694$	−5.00114	+	5.00114i	−0.189841	+	0.189841i
$695$	19.9728	−	19.9728i	0.757611	−	0.757611i
$696$	−1.26654	−	4.72680i	−0.0480082	−	0.179169i
$697$	0.322522	−	1.20367i	0.0122164	−	0.0455922i
$698$		−	29.7297i		−	1.12529i
$699$	−0.105981	+	0.183564i	−0.00400857	+	0.00694305i
$700$		0			0
$701$		−	33.2095i		−	1.25430i	−0.778897	−	0.627152i	$-0.784220\pi$
$701$		−	33.2095i		−	1.25430i	0.778897	−	0.627152i	$-0.215780\pi$
$702$	6.82486	+	5.81491i	0.257588	+	0.219470i
$703$	4.63774	−	2.67760i	0.174916	−	0.100988i
$704$	22.4368	−	22.4368i	0.845618	−	0.845618i
$705$	2.13806	−	1.23441i	0.0805239	−	0.0464905i
$706$	−37.6168	−	65.1542i	−1.41573	−	2.45211i
$707$		0			0
$708$	2.62879	+	0.704383i	0.0987961	+	0.0264723i
$709$	15.6940	+	15.6940i	0.589402	+	0.589402i	0.937469	−	0.348068i	$-0.113162\pi$
$709$	15.6940	+	15.6940i	0.589402	+	0.589402i	−0.348068	+	0.937469i	$0.613162\pi$
$710$	−21.6987	−	5.81415i	−0.814338	−	0.218201i
$711$	18.1651	−	31.4629i	0.681246	−	1.17995i
$712$	−22.3038	−	38.6313i	−0.835869	−	1.44777i
$713$	−0.935257	−	3.49043i	−0.0350256	−	0.130717i
$714$		0			0
$715$	33.3863	−	23.0045i	1.24858	−	0.860319i
$716$	48.1299	−	83.3634i	1.79870	−	3.11544i
$717$	1.45125	+	1.45125i	0.0541978	+	0.0541978i
$718$	−44.1457			−1.64750
$719$	28.4290			1.06022			0.530111	−	0.847928i	$-0.322150\pi$
$719$	28.4290			1.06022			0.530111	+	0.847928i	$0.322150\pi$
$720$	23.3218	+	23.3218i	0.869153	+	0.869153i
$721$		0			0
$722$	−4.55687	+	17.0065i	−0.169589	+	0.632915i
$723$	−0.396335	+	0.106198i	−0.0147399	+	0.00394953i
$724$	16.4429	+	9.49330i	0.611095	+	0.352816i
$725$			6.14424i			0.228191i
$726$	−3.92934	−	1.05286i	−0.145831	−	0.0390754i
$727$	−0.462661			−0.0171591			−0.00857957	−	0.999963i	$-0.502731\pi$
$727$	−0.462661			−0.0171591			−0.00857957	+	0.999963i	$0.502731\pi$
$728$		0			0
$729$	25.4724			0.943422
$730$	−14.7881	−	3.96246i	−0.547332	−	0.146657i
$731$			0.792073i			0.0292959i
$732$	−9.15678	−	5.28667i	−0.338444	−	0.195401i
$733$	35.0168	−	9.38272i	1.29337	−	0.346559i	0.454433	−	0.890781i	$-0.349842\pi$
$733$	35.0168	−	9.38272i	1.29337	−	0.346559i	0.838941	+	0.544222i	$0.183175\pi$
$734$	−4.61573	+	17.2261i	−0.170370	+	0.635828i
$735$		0			0
$736$	0.380514	+	0.380514i	0.0140259	+	0.0140259i
$737$	28.6772			1.05634
$738$	81.0204			2.98240
$739$	−1.03780	−	1.03780i	−0.0381762	−	0.0381762i	0.687761	−	0.725937i	$-0.258594\pi$
$739$	−1.03780	−	1.03780i	−0.0381762	−	0.0381762i	−0.725937	+	0.687761i	$0.758594\pi$
$740$	7.83091	−	13.5635i	0.287870	−	0.498605i
$741$	−0.702289	−	1.97571i	−0.0257992	−	0.0725794i
$742$		0			0
$743$	0.513502	+	1.91642i	0.0188386	+	0.0703065i	0.974705	−	0.223494i	$-0.0717464\pi$
$743$	0.513502	+	1.91642i	0.0188386	+	0.0703065i	−0.955867	+	0.293801i	$0.905080\pi$
$744$	−2.40074	−	4.15821i	−0.0880156	−	0.152447i
$745$	−9.41059	+	16.2996i	−0.344777	+	0.597172i
$746$	58.1655	+	15.5854i	2.12959	+	0.570622i
$747$	−9.92790	−	9.92790i	−0.363243	−	0.363243i
$748$	−2.02523	−	0.542658i	−0.0740496	−	0.0198415i
$749$		0			0
$750$	−2.00962	−	3.48077i	−0.0733810	−	0.127100i
$751$	15.7481	−	9.09216i	0.574656	−	0.331778i	−0.184351	−	0.982860i	$-0.559018\pi$
$751$	15.7481	−	9.09216i	0.574656	−	0.331778i	0.759007	+	0.651083i	$0.225685\pi$
$752$	−18.8465	+	18.8465i	−0.687260	+	0.687260i
$753$	2.32462	−	1.34212i	0.0847137	−	0.0489095i
$754$	−16.8095	−	47.2891i	−0.612165	−	1.72217i
$755$			16.2818i			0.592554i
$756$		0			0
$757$	2.77153	−	4.80044i	0.100733	−	0.174475i	−0.811254	−	0.584694i	$-0.801215\pi$
$757$	2.77153	−	4.80044i	0.100733	−	0.174475i	0.911987	+	0.410219i	$0.134548\pi$
$758$			21.6373i			0.785903i
$759$	−0.129959	+	0.485013i	−0.00471720	+	0.0176048i
$760$	−11.2927	−	42.1449i	−0.409629	−	1.52876i
$761$	31.1987	−	31.1987i	1.13095	−	1.13095i	0.140931	−	0.990019i	$-0.454990\pi$
$761$	31.1987	−	31.1987i	1.13095	−	1.13095i	0.990019	−	0.140931i	$-0.0450097\pi$
$762$	1.49221	−	1.49221i	0.0540569	−	0.0540569i
$763$		0			0
$764$	27.2183	+	15.7145i	0.984725	+	0.568531i
$765$	−0.213890	+	0.798250i	−0.00773322	+	0.0288608i
$766$	−21.6907	−	37.5693i	−0.783715	−	1.35743i
$767$	14.0007	+	2.57760i	0.505536	+	0.0930719i
$768$	−4.75111	−	2.74306i	−0.171441	−	0.0989815i
$769$	27.2136	−	7.29187i	0.981348	−	0.262951i	0.267736	−	0.963492i	$-0.413725\pi$
$769$	27.2136	−	7.29187i	0.981348	−	0.262951i	0.713612	+	0.700541i	$0.247058\pi$
$770$		0			0
$771$	−2.07572	+	1.19842i	−0.0747552	+	0.0431599i
$772$	0.263307	+	0.982674i	0.00947661	+	0.0353672i
$773$	−20.0346	+	5.36825i	−0.720593	+	0.193082i	−0.600436	−	0.799673i	$-0.705006\pi$
$773$	−20.0346	+	5.36825i	−0.720593	+	0.193082i	−0.120157	+	0.992755i	$0.538340\pi$
$774$	−49.7439	+	13.3288i	−1.78801	+	0.479095i
$775$	1.56033	+	5.82323i	0.0560487	+	0.209177i
$776$	−17.9402	+	10.3578i	−0.644017	+	0.371823i
$777$		0			0
$778$	24.1435	−	6.46922i	0.865585	−	0.231933i
$779$	−32.9752	−	19.0383i	−1.18146	−	0.682116i
$780$	−4.66782	−	3.97707i	−0.167135	−	0.142402i
$781$	8.41168	+	14.5695i	0.300994	+	0.521336i
$782$	−0.0469414	+	0.175188i	−0.00167862	+	0.00626470i
$783$	4.92891	+	2.84571i	0.176145	+	0.101697i
$784$		0			0
$785$	−16.5332	+	16.5332i	−0.590096	+	0.590096i
$786$	−1.67363	+	1.67363i	−0.0596964	+	0.0596964i
$787$	11.7519	+	43.8587i	0.418910	+	1.56339i	0.776873	+	0.629658i	$0.216805\pi$
$787$	11.7519	+	43.8587i	0.418910	+	1.56339i	−0.357963	+	0.933736i	$0.616529\pi$
$788$	7.04758	−	26.3019i	0.251060	−	0.936967i
$789$			3.19768i			0.113841i
$790$	−37.2001	+	64.4324i	−1.32352	+	2.29240i
$791$		0			0
$792$		−	69.5282i		−	2.47058i
$793$	−49.9485	−	23.7511i	−1.77372	−	0.843426i
$794$	−18.0489	+	10.4205i	−0.640530	+	0.369810i
$795$	−1.42057	+	1.42057i	−0.0503825	+	0.0503825i
$796$	19.0481	−	10.9974i	0.675142	−	0.389794i
$797$	−15.9452	−	27.6179i	−0.564809	−	0.978277i	−0.997067	−	0.0765277i	$-0.975617\pi$
$797$	−15.9452	−	27.6179i	−0.564809	−	0.978277i	0.432259	−	0.901750i	$-0.357717\pi$
$798$		0			0
$799$	−0.645069	−	0.172846i	−0.0228209	−	0.00611484i
$800$	−0.634828	−	0.634828i	−0.0224446	−	0.0224446i
$801$	24.9367	+	6.68178i	0.881096	+	0.236089i
$802$	−11.5982	+	20.0887i	−0.409547	+	0.709356i
$803$	5.73273	+	9.92938i	0.202304	+	0.350400i
$804$	−1.12261	−	4.18963i	−0.0395913	−	0.147757i
$805$		0			0
$806$	−27.9403	−	40.5497i	−0.984157	−	1.42830i
$807$	2.04494	−	3.54193i	0.0719851	−	0.124682i
$808$	16.4114	+	16.4114i	0.577350	+	0.577350i
$809$	29.2806			1.02945			0.514726	−	0.857355i	$-0.327894\pi$
$809$	29.2806			1.02945			0.514726	+	0.857355i	$0.327894\pi$
$810$	−53.2106			−1.86963
$811$	35.8857	+	35.8857i	1.26012	+	1.26012i	0.951035	+	0.309082i	$0.100022\pi$
$811$	35.8857	+	35.8857i	1.26012	+	1.26012i	0.309082	+	0.951035i	$0.399978\pi$
$812$		0			0
$813$	−0.688454	+	2.56935i	−0.0241451	+	0.0901109i
$814$	−16.8805	+	4.52311i	−0.591660	+	0.158535i
$815$	39.4863	+	22.7974i	1.38315	+	0.798560i
$816$			0.0856131i			0.00299706i
$817$	23.3777	+	6.26405i	0.817884	+	0.219151i
$818$	62.6615			2.19091
$819$		0			0
$820$	−111.359			−3.88881
$821$	9.47213	+	2.53805i	0.330579	+	0.0885785i	0.420291	−	0.907389i	$-0.361928\pi$
$821$	9.47213	+	2.53805i	0.330579	+	0.0885785i	−0.0897118	+	0.995968i	$0.528595\pi$
$822$			3.55836i			0.124112i
$823$	−23.8757	−	13.7847i	−0.832256	−	0.480503i	0.0223686	−	0.999750i	$-0.492879\pi$
$823$	−23.8757	−	13.7847i	−0.832256	−	0.480503i	−0.854624	+	0.519247i	$0.826213\pi$
$824$	66.7525	−	17.8863i	2.32543	−	0.623098i
$825$	0.216816	−	0.809167i	0.00754855	−	0.0281716i
$826$		0			0
$827$	18.9789	+	18.9789i	0.659961	+	0.659961i	0.955371	−	0.295410i	$-0.0954562\pi$
$827$	18.9789	+	18.9789i	0.659961	+	0.659961i	−0.295410	+	0.955371i	$0.595456\pi$
$828$	−7.91435			−0.275043
$829$	−29.6306			−1.02911			−0.514556	−	0.857456i	$-0.672043\pi$
$829$	−29.6306			−1.02911			−0.514556	+	0.857456i	$0.672043\pi$
$830$	20.3312	+	20.3312i	0.705705	+	0.705705i
$831$	0.0630503	−	0.109206i	0.00218719	−	0.00378832i
$832$	−22.6715	−	10.7806i	−0.785993	−	0.373749i
$833$		0			0
$834$	1.23380	+	4.60459i	0.0427229	+	0.159444i
$835$	−20.2499	−	35.0739i	−0.700778	−	1.21378i
$836$	−32.0327	+	55.4823i	−1.10787	+	1.91889i
$837$	5.39406	+	1.44534i	0.186446	+	0.0499581i
$838$	35.0520	+	35.0520i	1.21085	+	1.21085i
$839$	−51.8608	−	13.8961i	−1.79043	−	0.479745i	−0.798014	−	0.602638i	$-0.794116\pi$
$839$	−51.8608	−	13.8961i	−1.79043	−	0.479745i	−0.992420	+	0.122893i	$0.960783\pi$
$840$		0			0
$841$	−1.42879	−	2.47474i	−0.0492686	−	0.0853357i
$842$	7.60995	−	4.39361i	0.262256	−	0.151414i
$843$	−0.0906544	+	0.0906544i	−0.00312230	+	0.00312230i
$844$	−10.2491	+	5.91733i	−0.352789	+	0.203683i
$845$	−25.9962	−	18.7927i	−0.894297	−	0.646490i
$846$		−	43.4204i		−	1.49282i
$847$		0			0
$848$	10.8444	−	18.7830i	0.372397	−	0.645011i
$849$			3.25374i			0.111668i
$850$	0.0783144	−	0.292273i	0.00268616	−	0.0100249i
$851$	0.262598	+	0.980028i	0.00900174	+	0.0335949i
$852$	1.79926	−	1.79926i	0.0616415	−	0.0616415i
$853$	−36.2761	+	36.2761i	−1.24207	+	1.24207i	−0.282930	+	0.959140i	$0.591307\pi$
$853$	−36.2761	+	36.2761i	−1.24207	+	1.24207i	−0.959140	+	0.282930i	$0.908693\pi$
$854$		0			0
$855$	21.8685	+	12.6258i	0.747887	+	0.431793i
$856$	−10.9764	+	40.9646i	−0.375166	+	1.40014i
$857$	−23.1941	−	40.1733i	−0.792295	−	1.37230i	−0.924543	−	0.381079i	$-0.875553\pi$
$857$	−23.1941	−	40.1733i	−0.792295	−	1.37230i	0.132247	−	0.991217i	$-0.457781\pi$
$858$	0.545007	+	6.82093i	0.0186062	+	0.232863i
$859$	6.53039	+	3.77032i	0.222814	+	0.128642i	0.607253	−	0.794509i	$-0.292272\pi$
$859$	6.53039	+	3.77032i	0.222814	+	0.128642i	−0.384439	+	0.923151i	$0.625605\pi$
$860$	68.3705	−	18.3198i	2.33142	−	0.624701i
$861$		0			0
$862$	51.1997	−	29.5601i	1.74387	−	1.00682i
$863$	−4.93343	−	18.4118i	−0.167936	−	0.626745i	−0.997647	−	0.0685528i	$-0.978162\pi$
$863$	−4.93343	−	18.4118i	−0.167936	−	0.626745i	0.829712	−	0.558192i	$-0.188505\pi$
$864$	−0.803280	+	0.215238i	−0.0273282	+	0.00732256i
$865$	−43.4676	+	11.6471i	−1.47794	+	0.396014i
$866$	14.9539	+	55.8087i	0.508154	+	1.89646i
$867$	2.48420	−	1.43425i	0.0843678	−	0.0487098i
$868$		0			0
$869$	53.8196	−	14.4209i	1.82570	−	0.489196i
$870$	−5.02281	−	2.89992i	−0.170289	−	0.0983166i
$871$	−7.59911	−	21.3781i	−0.257486	−	0.724370i
$872$	34.5705	+	59.8779i	1.17071	+	2.02772i
$873$	3.10300	−	11.5805i	0.105021	−	0.391942i
$874$	4.79937	+	2.77092i	0.162341	+	0.0937277i
$875$		0			0
$876$	1.22623	−	1.22623i	0.0414304	−	0.0414304i
$877$	−11.6221	+	11.6221i	−0.392452	+	0.392452i	−0.875560	−	0.483109i	$-0.839508\pi$
$877$	−11.6221	+	11.6221i	−0.392452	+	0.392452i	0.483109	+	0.875560i	$0.339508\pi$
$878$	−21.5513	−	80.4305i	−0.727320	−	2.71440i
$879$	0.635907	−	2.37324i	0.0214486	−	0.0800473i
$880$			50.5831i			1.70516i
$881$	6.33542	−	10.9733i	0.213446	−	0.369699i	−0.739345	−	0.673327i	$-0.764865\pi$
$881$	6.33542	−	10.9733i	0.213446	−	0.369699i	0.952791	+	0.303628i	$0.0981980\pi$
$882$		0			0
$883$			48.6526i			1.63729i	0.574300	+	0.818645i	$0.305274\pi$
$883$			48.6526i			1.63729i	−0.574300	+	0.818645i	$0.694726\pi$
$884$	0.132123	+	1.65355i	0.00444376	+	0.0556150i
$885$	1.42474	−	0.822575i	0.0478922	−	0.0276506i
$886$	54.1055	−	54.1055i	1.81771	−	1.81771i
$887$	−9.89111	+	5.71063i	−0.332111	+	0.191744i	−0.656778	−	0.754084i	$-0.728081\pi$
$887$	−9.89111	+	5.71063i	−0.332111	+	0.191744i	0.324667	+	0.945828i	$0.394748\pi$
$888$	0.674072	+	1.16753i	0.0226204	+	0.0391796i
$889$		0			0
$890$	−51.0675	−	13.6835i	−1.71179	−	0.458672i
$891$	28.1777	+	28.1777i	0.943989	+	0.943989i
$892$	−73.8928	−	19.7995i	−2.47411	−	0.662937i
$893$	−10.2030	+	17.6720i	−0.341429	+	0.591372i
$894$	−1.58822	−	2.75088i	−0.0531180	−	0.0920031i
$895$	−15.0603	−	56.2059i	−0.503411	−	1.87875i
$896$		0			0
$897$	0.396002	−	0.0316414i	0.0132221	−	0.00105648i
$898$	1.84947	−	3.20337i	0.0617176	−	0.106898i
$899$	−22.1029	−	22.1029i	−0.737174	−	0.737174i
$900$	13.2038			0.440128
$901$	0.543441			0.0181046
$902$	87.8633	+	87.8633i	2.92553	+	2.92553i
$903$		0			0
$904$	3.03816	−	11.3386i	0.101048	−	0.377115i
$905$	11.0862	−	2.97055i	0.368519	−	0.0987443i
$906$	−2.37972	−	1.37393i	−0.0790609	−	0.0456458i
$907$			26.6146i			0.883725i	0.897083	+	0.441862i	$0.145682\pi$
$907$			26.6146i			0.883725i	−0.897083	+	0.441862i	$0.854318\pi$
$908$	−25.1687	−	6.74392i	−0.835251	−	0.223805i
$909$	−13.4322			−0.445518
$910$		0			0
$911$	−57.5752			−1.90755			−0.953775	−	0.300520i	$-0.902840\pi$
$911$	−57.5752			−1.90755			−0.953775	+	0.300520i	$0.902840\pi$
$912$	2.52684	+	0.677065i	0.0836720	+	0.0224198i
$913$		−	21.5328i		−	0.712631i
$914$	65.5313	+	37.8345i	2.16758	+	1.25145i
$915$	−6.17374	+	1.65425i	−0.204098	+	0.0546878i
$916$	18.2841	−	68.2372i	0.604124	−	2.25462i
$917$		0			0
$918$	−0.198190	−	0.198190i	−0.00654126	−	0.00654126i
$919$	36.3431			1.19885			0.599424	−	0.800431i	$-0.295396\pi$
$919$	36.3431			1.19885			0.599424	+	0.800431i	$0.295396\pi$
$920$	8.26647			0.272538
$921$	−1.59947	−	1.59947i	−0.0527045	−	0.0527045i
$922$	−31.9047	+	55.2606i	−1.05073	+	1.81991i
$923$	8.63217	−	10.1314i	0.284131	−	0.333480i
$924$		0			0
$925$	−0.438103	−	1.63502i	−0.0144047	−	0.0537592i
$926$	46.2781	+	80.1560i	1.52079	+	2.63409i
$927$	−19.9978	+	34.6371i	−0.656813	+	1.13763i
$928$	4.49635	+	1.20479i	0.147600	+	0.0395492i
$929$	−35.9957	−	35.9957i	−1.18098	−	1.18098i	−0.979490	−	0.201492i	$-0.935421\pi$
$929$	−35.9957	−	35.9957i	−1.18098	−	1.18098i	−0.201492	−	0.979490i	$-0.564579\pi$
$930$	−5.49683	−	1.47287i	−0.180248	−	0.0482974i
$931$		0			0
$932$	−2.56190	−	4.43734i	−0.0839177	−	0.145350i
$933$	−1.21111	+	0.699235i	−0.0396500	+	0.0228919i
$934$	−14.3385	+	14.3385i	−0.469170	+	0.469170i
$935$	−1.09762	+	0.633713i	−0.0358961	+	0.0207246i
$936$	−51.8315	+	18.4241i	−1.69417	+	0.602211i
$937$			55.7488i			1.82123i	0.413251	+	0.910617i	$0.364393\pi$
$937$			55.7488i			1.82123i	−0.413251	+	0.910617i	$0.635607\pi$
$938$		0			0
$939$	0.485664	−	0.841195i	0.0158491	−	0.0274514i
$940$			59.6791i			1.94652i
$941$	−1.99376	+	7.44082i	−0.0649948	+	0.242564i	−0.990779	−	0.135489i	$-0.956740\pi$
$941$	−1.99376	+	7.44082i	−0.0649948	+	0.242564i	0.925784	+	0.378053i	$0.123406\pi$
$942$	−1.02132	−	3.81163i	−0.0332765	−	0.124189i
$943$	5.10107	−	5.10107i	0.166114	−	0.166114i
$944$	−12.5588	+	12.5588i	−0.408753	+	0.408753i
$945$		0			0
$946$	−68.3998	−	39.4906i	−2.22387	−	1.28395i
$947$	−10.1701	+	37.9554i	−0.330484	+	1.23338i	0.578198	+	0.815896i	$0.303756\pi$
$947$	−10.1701	+	37.9554i	−0.330484	+	1.23338i	−0.908683	+	0.417488i	$0.862911\pi$
$948$	−4.21368	−	7.29831i	−0.136854	−	0.237038i
$949$	5.88299	−	6.90476i	0.190970	−	0.224138i
$950$	−8.00700	−	4.62284i	−0.259781	−	0.149985i
$951$	−1.67936	+	0.449982i	−0.0544568	+	0.0145917i
$952$		0			0
$953$	−34.9303	+	20.1670i	−1.13150	+	0.653275i	−0.944313	−	0.329049i	$-0.893272\pi$
$953$	−34.9303	+	20.1670i	−1.13150	+	0.653275i	−0.187192	+	0.982323i	$0.559939\pi$
$954$	9.14491	+	34.1293i	0.296077	+	1.10498i
$955$	18.3513	−	4.91722i	0.593835	−	0.159118i
$956$	−47.9219	+	12.8406i	−1.54990	+	0.415296i
$957$	1.12418	+	4.19549i	0.0363396	+	0.135621i
$958$	46.4269	−	26.8046i	1.49999	−	0.866017i
$959$		0			0
$960$	−2.80225	+	0.750861i	−0.0904423	+	0.0242339i
$961$	0.285588	+	0.164884i	0.00921252	+	0.00531885i
$962$	7.84498	+	11.3854i	0.252932	+	0.367080i
$963$	−12.2722	−	21.2561i	−0.395466	−	0.684967i
$964$	2.56714	−	9.58068i	0.0826819	−	0.308573i
$965$	0.532585	+	0.307488i	0.0171445	+	0.00989840i
$966$		0			0
$967$	−1.13971	+	1.13971i	−0.0366507	+	0.0366507i	−0.725195	−	0.688544i	$-0.758250\pi$
$967$	−1.13971	+	1.13971i	−0.0366507	+	0.0366507i	0.688544	+	0.725195i	$0.258250\pi$
$968$	35.4646	−	35.4646i	1.13987	−	1.13987i
$969$	0.0169648	+	0.0633133i	0.000544987	+	0.00203392i
$970$	−6.35457	+	23.7156i	−0.204033	+	0.761462i
$971$			26.1345i			0.838697i	0.907825	+	0.419348i	$0.137741\pi$
$971$			26.1345i			0.838697i	−0.907825	+	0.419348i	$0.862259\pi$
$972$	9.18765	−	15.9135i	0.294694	−	0.510425i
$973$		0			0
$974$		−	44.5023i		−	1.42595i
$975$	−0.660667	+	0.0527888i	−0.0211583	+	0.00169059i
$976$	59.7574	−	34.5009i	1.91279	−	1.10435i
$977$	−11.2538	+	11.2538i	−0.360040	+	0.360040i	−0.863828	−	0.503787i	$-0.831939\pi$
$977$	−11.2538	+	11.2538i	−0.360040	+	0.360040i	0.503787	+	0.863828i	$0.331939\pi$
$978$	−6.66409	+	3.84751i	−0.213094	+	0.123030i
$979$	19.7967	+	34.2890i	0.632707	+	1.09588i
$980$		0			0
$981$	−38.6516	−	10.3567i	−1.23405	−	0.330663i
$982$	−11.3437	−	11.3437i	−0.361991	−	0.361991i
$983$	−7.58689	−	2.03290i	−0.241984	−	0.0648395i	0.135788	−	0.990738i	$-0.456643\pi$
$983$	−7.58689	−	2.03290i	−0.241984	−	0.0648395i	−0.377773	+	0.925898i	$0.623310\pi$
$984$	4.79278	−	8.30134i	0.152788	−	0.264637i
$985$	−8.23013	−	14.2550i	−0.262234	−	0.454202i
$986$	0.406056	+	1.51542i	0.0129315	+	0.0482609i
$987$		0			0
$988$	49.8489	+	9.17745i	1.58590	+	0.291974i
$989$	−2.29270	+	3.97108i	−0.0729038	+	0.126273i
$990$	−58.2692	−	58.2692i	−1.85192	−	1.85192i
$991$	4.54994			0.144534			0.0722669	−	0.997385i	$-0.476977\pi$
$991$	4.54994			0.144534			0.0722669	+	0.997385i	$0.476977\pi$
$992$	4.56739			0.145015
$993$	2.06935	+	2.06935i	0.0656688	+	0.0656688i
$994$		0			0
$995$	3.44120	−	12.8428i	0.109094	−	0.407143i
$996$	−3.14586	+	0.842930i	−0.0996803	+	0.0267093i
$997$	17.4060	+	10.0494i	0.551254	+	0.318267i	0.749628	−	0.661860i	$-0.230233\pi$
$997$	17.4060	+	10.0494i	0.551254	+	0.318267i	−0.198374	+	0.980126i	$0.563566\pi$
$998$			49.6645i			1.57210i
$999$	−1.51452	−	0.405816i	−0.0479174	−	0.0128394i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.x.a.19.1		28
7.2	even	3		637.2.bd.b.97.7		28
7.3	odd	6		637.2.bb.a.227.7		28
7.4	even	3		91.2.ba.a.45.7	yes	28
7.5	odd	6		637.2.bd.a.97.7		28
7.6	odd	2		91.2.w.a.19.1	✓	28
13.11	odd	12		637.2.bb.a.362.7		28
21.11	odd	6		819.2.et.b.136.1		28
21.20	even	2		819.2.gh.b.19.7		28
91.11	odd	12		91.2.w.a.24.1	yes	28
91.24	even	12	inner	637.2.x.a.570.1		28
91.37	odd	12		637.2.bd.a.440.7		28
91.76	even	12		91.2.ba.a.89.7	yes	28
91.89	even	12		637.2.bd.b.440.7		28
273.11	even	12		819.2.gh.b.388.7		28
273.167	odd	12		819.2.et.b.271.1		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.19.1	✓	28	7.6	odd	2
91.2.w.a.24.1	yes	28	91.11	odd	12
91.2.ba.a.45.7	yes	28	7.4	even	3
91.2.ba.a.89.7	yes	28	91.76	even	12
637.2.x.a.19.1		28	1.1	even	1	trivial
637.2.x.a.570.1		28	91.24	even	12	inner
637.2.bb.a.227.7		28	7.3	odd	6
637.2.bb.a.362.7		28	13.11	odd	12
637.2.bd.a.97.7		28	7.5	odd	6
637.2.bd.a.440.7		28	91.37	odd	12
637.2.bd.b.97.7		28	7.2	even	3
637.2.bd.b.440.7		28	91.89	even	12
819.2.et.b.136.1		28	21.11	odd	6
819.2.et.b.271.1		28	273.167	odd	12
819.2.gh.b.19.7		28	21.20	even	2
819.2.gh.b.388.7		28	273.11	even	12

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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.x (of order \(12\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(-2.38212 - 0.638288i) q^{2} -0.168862i q^{3} +(3.53505 + 2.04096i) q^{4} +(2.38343 - 0.638637i) q^{5} +(-0.107782 + 0.402250i) q^{6} +(-3.63054 - 3.63054i) q^{8} +2.97149 q^{9} +O(q^{10})\)	\(q+(-2.38212 - 0.638288i) q^{2} -0.168862i q^{3} +(3.53505 + 2.04096i) q^{4} +(2.38343 - 0.638637i) q^{5} +(-0.107782 + 0.402250i) q^{6} +(-3.63054 - 3.63054i) q^{8} +2.97149 q^{9} -6.08525 q^{10} +(3.22245 + 3.22245i) q^{11} +(0.344641 - 0.596935i) q^{12} +(1.54835 - 3.25617i) q^{13} +(-0.107841 - 0.402470i) q^{15} +(2.24914 + 3.89562i) q^{16} +(-0.0563551 + 0.0976099i) q^{17} +(-7.07845 - 1.89666i) q^{18} +(2.43524 + 2.43524i) q^{19} +(9.72897 + 2.60687i) q^{20} +(-5.61943 - 9.73314i) q^{22} +(-0.565076 + 0.326247i) q^{23} +(-0.613059 + 0.613059i) q^{24} +(0.942740 - 0.544291i) q^{25} +(-5.76673 + 6.76830i) q^{26} -1.00836i q^{27} +(-2.82213 + 4.88807i) q^{29} +1.02757i q^{30} +(-1.43336 + 5.34937i) q^{31} +(-0.213455 - 0.796624i) q^{32} +(0.544149 - 0.544149i) q^{33} +(0.196548 - 0.196548i) q^{34} +(10.5044 + 6.06469i) q^{36} +(0.402453 - 1.50197i) q^{37} +(-4.24666 - 7.35543i) q^{38} +(-0.549842 - 0.261457i) q^{39} +(-10.9717 - 6.33453i) q^{40} +(-10.6793 + 2.86152i) q^{41} +(6.08601 - 3.51376i) q^{43} +(4.81463 + 17.9684i) q^{44} +(7.08232 - 1.89770i) q^{45} +(1.55432 - 0.416479i) q^{46} +(1.53354 + 5.72325i) q^{47} +(0.657821 - 0.379793i) q^{48} +(-2.59314 + 0.694830i) q^{50} +(0.0164826 + 0.00951622i) q^{51} +(12.1192 - 8.35060i) q^{52} +(-2.41079 - 4.17561i) q^{53} +(-0.643622 + 2.40203i) q^{54} +(9.73846 + 5.62250i) q^{55} +(0.411219 - 0.411219i) q^{57} +(9.84265 - 9.84265i) q^{58} +(1.02191 + 3.81382i) q^{59} +(0.440201 - 1.64285i) q^{60} -15.3396i q^{61} +(6.82887 - 11.8280i) q^{62} -6.96264i q^{64} +(1.61086 - 8.74967i) q^{65} +(-1.64355 + 0.948907i) q^{66} +(4.44959 - 4.44959i) q^{67} +(-0.398436 + 0.230037i) q^{68} +(0.0550906 + 0.0954197i) q^{69} +(3.56578 + 0.955449i) q^{71} +(-10.7881 - 10.7881i) q^{72} +(2.43015 + 0.651157i) q^{73} +(-1.91738 + 3.32101i) q^{74} +(-0.0919100 - 0.159193i) q^{75} +(3.63847 + 13.5789i) q^{76} +(1.14291 + 0.973780i) q^{78} +(6.11315 - 10.5883i) q^{79} +(7.84854 + 7.84854i) q^{80} +8.74418 q^{81} +27.2660 q^{82} +(-3.34105 - 3.34105i) q^{83} +(-0.0719809 + 0.268637i) q^{85} +(-16.7404 + 4.48558i) q^{86} +(0.825408 + 0.476549i) q^{87} -23.3985i q^{88} +(8.39201 + 2.24863i) q^{89} -18.0822 q^{90} -2.66343 q^{92} +(0.903304 + 0.242039i) q^{93} -14.6123i q^{94} +(7.35946 + 4.24898i) q^{95} +(-0.134519 + 0.0360444i) q^{96} +(1.04426 - 3.89722i) q^{97} +(9.57547 + 9.57547i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} + 6 q^{5} - 12 q^{6} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 + 6 * q^5 - 12 * q^6 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} + 6 q^{5} - 12 q^{6} - 4 q^{8} - 12 q^{9} + 12 q^{10} + 2 q^{11} - 8 q^{12} + 10 q^{15} - 2 q^{16} + 6 q^{17} - 4 q^{18} + 8 q^{19} + 36 q^{20} - 8 q^{22} - 6 q^{23} - 12 q^{24} - 24 q^{26} - 8 q^{29} + 38 q^{31} - 20 q^{32} - 18 q^{33} - 12 q^{34} + 54 q^{36} - 16 q^{37} + 28 q^{39} - 48 q^{40} - 18 q^{41} + 48 q^{43} - 6 q^{44} - 12 q^{45} + 18 q^{46} + 42 q^{47} - 12 q^{48} + 10 q^{50} + 12 q^{51} + 28 q^{52} + 12 q^{53} + 30 q^{54} + 6 q^{55} + 12 q^{57} + 62 q^{58} + 6 q^{59} + 16 q^{60} + 36 q^{62} - 2 q^{65} - 66 q^{66} - 4 q^{67} - 30 q^{68} - 42 q^{69} - 42 q^{71} - 38 q^{72} - 14 q^{73} - 6 q^{74} + 20 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} - 12 q^{80} + 12 q^{81} + 108 q^{82} + 66 q^{83} - 54 q^{85} - 30 q^{86} - 42 q^{87} + 30 q^{89} + 72 q^{90} - 156 q^{92} + 14 q^{93} - 6 q^{95} - 18 q^{96} - 62 q^{97} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 + 6 * q^5 - 12 * q^6 - 4 * q^8 - 12 * q^9 + 12 * q^10 + 2 * q^11 - 8 * q^12 + 10 * q^15 - 2 * q^16 + 6 * q^17 - 4 * q^18 + 8 * q^19 + 36 * q^20 - 8 * q^22 - 6 * q^23 - 12 * q^24 - 24 * q^26 - 8 * q^29 + 38 * q^31 - 20 * q^32 - 18 * q^33 - 12 * q^34 + 54 * q^36 - 16 * q^37 + 28 * q^39 - 48 * q^40 - 18 * q^41 + 48 * q^43 - 6 * q^44 - 12 * q^45 + 18 * q^46 + 42 * q^47 - 12 * q^48 + 10 * q^50 + 12 * q^51 + 28 * q^52 + 12 * q^53 + 30 * q^54 + 6 * q^55 + 12 * q^57 + 62 * q^58 + 6 * q^59 + 16 * q^60 + 36 * q^62 - 2 * q^65 - 66 * q^66 - 4 * q^67 - 30 * q^68 - 42 * q^69 - 42 * q^71 - 38 * q^72 - 14 * q^73 - 6 * q^74 + 20 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 - 12 * q^80 + 12 * q^81 + 108 * q^82 + 66 * q^83 - 54 * q^85 - 30 * q^86 - 42 * q^87 + 30 * q^89 + 72 * q^90 - 156 * q^92 + 14 * q^93 - 6 * q^95 - 18 * q^96 - 62 * q^97 - 36 * q^99

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