LMFDB - Embedded newform 798.2.bc.a.103.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(31,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 1, 5]))

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

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

chi := DirichletCharacter("798.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.bc (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$14$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.4
Character	$\chi$	$=$	798.103
Dual form			798.2.bc.a.31.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} -1.00000 q^{3} +(0.500000 - 0.866025i) q^{4} +(0.455066 - 0.262732i) q^{5} +(0.866025 - 0.500000i) q^{6} +(-2.53656 - 0.752229i) q^{7} +1.00000i q^{8} +1.00000 q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} -1.00000 q^{3} +(0.500000 - 0.866025i) q^{4} +(0.455066 - 0.262732i) q^{5} +(0.866025 - 0.500000i) q^{6} +(-2.53656 - 0.752229i) q^{7} +1.00000i q^{8} +1.00000 q^{9} +(-0.262732 + 0.455066i) q^{10} +(-0.830215 - 1.43798i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-0.0722715 - 0.125178i) q^{13} +(2.57284 - 0.616832i) q^{14} +(-0.455066 + 0.262732i) q^{15} +(-0.500000 - 0.866025i) q^{16} +1.64405i q^{17} +(-0.866025 + 0.500000i) q^{18} +(-1.54882 + 4.07445i) q^{19} -0.525465i q^{20} +(2.53656 + 0.752229i) q^{21} +(1.43798 + 0.830215i) q^{22} +5.76865 q^{23} -1.00000i q^{24} +(-2.36194 + 4.09101i) q^{25} +(0.125178 + 0.0722715i) q^{26} -1.00000 q^{27} +(-1.91973 + 1.82061i) q^{28} +(-0.672907 + 0.388503i) q^{29} +(0.262732 - 0.455066i) q^{30} +(-1.07882 - 1.86856i) q^{31} +(0.866025 + 0.500000i) q^{32} +(0.830215 + 1.43798i) q^{33} +(-0.822024 - 1.42379i) q^{34} +(-1.35194 + 0.324124i) q^{35} +(0.500000 - 0.866025i) q^{36} +(3.16372 + 1.82658i) q^{37} +(-0.695906 - 4.30299i) q^{38} +(0.0722715 + 0.125178i) q^{39} +(0.262732 + 0.455066i) q^{40} +(2.67140 - 4.62700i) q^{41} +(-2.57284 + 0.616832i) q^{42} +(-5.87378 + 10.1737i) q^{43} -1.66043 q^{44} +(0.455066 - 0.262732i) q^{45} +(-4.99580 + 2.88433i) q^{46} +8.84637i q^{47} +(0.500000 + 0.866025i) q^{48} +(5.86830 + 3.81615i) q^{49} -4.72389i q^{50} -1.64405i q^{51} -0.144543 q^{52} +(10.6916 + 6.17280i) q^{53} +(0.866025 - 0.500000i) q^{54} +(-0.755606 - 0.436249i) q^{55} +(0.752229 - 2.53656i) q^{56} +(1.54882 - 4.07445i) q^{57} +(0.388503 - 0.672907i) q^{58} -8.95017 q^{59} +0.525465i q^{60} +11.3330i q^{61} +(1.86856 + 1.07882i) q^{62} +(-2.53656 - 0.752229i) q^{63} -1.00000 q^{64} +(-0.0657766 - 0.0379761i) q^{65} +(-1.43798 - 0.830215i) q^{66} +(-10.9327 - 6.31202i) q^{67} +(1.42379 + 0.822024i) q^{68} -5.76865 q^{69} +(1.00875 - 0.956669i) q^{70} +(-3.46696 - 2.00165i) q^{71} +1.00000i q^{72} +14.9385i q^{73} -3.65315 q^{74} +(2.36194 - 4.09101i) q^{75} +(2.75417 + 3.37854i) q^{76} +(1.02421 + 4.27203i) q^{77} +(-0.125178 - 0.0722715i) q^{78} +(-2.28199 + 1.31751i) q^{79} +(-0.455066 - 0.262732i) q^{80} +1.00000 q^{81} +5.34280i q^{82} -4.27511i q^{83} +(1.91973 - 1.82061i) q^{84} +(0.431945 + 0.748151i) q^{85} -11.7476i q^{86} +(0.672907 - 0.388503i) q^{87} +(1.43798 - 0.830215i) q^{88} -5.38441 q^{89} +(-0.262732 + 0.455066i) q^{90} +(0.0891587 + 0.371886i) q^{91} +(2.88433 - 4.99580i) q^{92} +(1.07882 + 1.86856i) q^{93} +(-4.42318 - 7.66118i) q^{94} +(0.365674 + 2.26107i) q^{95} +(-0.866025 - 0.500000i) q^{96} +(-5.10593 + 8.84372i) q^{97} +(-6.99018 - 0.370733i) q^{98} +(-0.830215 - 1.43798i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 28 q^{3} + 14 q^{4} + 6 q^{5} + 4 q^{7} + 28 q^{9}+O(q^{10}) $ 28 * q - 28 * q^3 + 14 * q^4 + 6 * q^5 + 4 * q^7 + 28 * q^9	$ 28 q - 28 q^{3} + 14 q^{4} + 6 q^{5} + 4 q^{7} + 28 q^{9} - 2 q^{10} - 14 q^{12} - 2 q^{13} - 4 q^{14} - 6 q^{15} - 14 q^{16} + 12 q^{19} - 4 q^{21} - 12 q^{22} + 14 q^{25} - 28 q^{27} + 2 q^{28} + 18 q^{29} + 2 q^{30} - 4 q^{31} - 8 q^{34} - 10 q^{35} + 14 q^{36} - 12 q^{37} + 6 q^{38} + 2 q^{39} + 2 q^{40} + 8 q^{41} + 4 q^{42} + 10 q^{43} + 6 q^{45} + 24 q^{46} + 14 q^{48} - 4 q^{52} - 12 q^{53} - 30 q^{55} + 4 q^{56} - 12 q^{57} - 2 q^{58} + 4 q^{59} + 12 q^{62} + 4 q^{63} - 28 q^{64} + 96 q^{65} + 12 q^{66} - 6 q^{67} + 6 q^{68} - 6 q^{70} - 42 q^{71} + 12 q^{74} - 14 q^{75} + 12 q^{76} + 16 q^{77} + 12 q^{79} - 6 q^{80} + 28 q^{81} - 2 q^{84} - 8 q^{85} - 18 q^{87} - 12 q^{88} - 16 q^{89} - 2 q^{90} + 8 q^{91} + 4 q^{93} - 18 q^{94} - 82 q^{95} - 8 q^{97} + 20 q^{98}+O(q^{100}) $ 28 * q - 28 * q^3 + 14 * q^4 + 6 * q^5 + 4 * q^7 + 28 * q^9 - 2 * q^10 - 14 * q^12 - 2 * q^13 - 4 * q^14 - 6 * q^15 - 14 * q^16 + 12 * q^19 - 4 * q^21 - 12 * q^22 + 14 * q^25 - 28 * q^27 + 2 * q^28 + 18 * q^29 + 2 * q^30 - 4 * q^31 - 8 * q^34 - 10 * q^35 + 14 * q^36 - 12 * q^37 + 6 * q^38 + 2 * q^39 + 2 * q^40 + 8 * q^41 + 4 * q^42 + 10 * q^43 + 6 * q^45 + 24 * q^46 + 14 * q^48 - 4 * q^52 - 12 * q^53 - 30 * q^55 + 4 * q^56 - 12 * q^57 - 2 * q^58 + 4 * q^59 + 12 * q^62 + 4 * q^63 - 28 * q^64 + 96 * q^65 + 12 * q^66 - 6 * q^67 + 6 * q^68 - 6 * q^70 - 42 * q^71 + 12 * q^74 - 14 * q^75 + 12 * q^76 + 16 * q^77 + 12 * q^79 - 6 * q^80 + 28 * q^81 - 2 * q^84 - 8 * q^85 - 18 * q^87 - 12 * q^88 - 16 * q^89 - 2 * q^90 + 8 * q^91 + 4 * q^93 - 18 * q^94 - 82 * q^95 - 8 * q^97 + 20 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	−1.00000			−0.577350
$3$	−1.00000			−0.577350
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	0.455066	−	0.262732i	0.203512	−	0.117498i	−0.394781	−	0.918775i	$-0.629179\pi$
$5$	0.455066	−	0.262732i	0.203512	−	0.117498i	0.598292	+	0.801278i	$0.295846\pi$
$6$	0.866025	−	0.500000i	0.353553	−	0.204124i
$7$	−2.53656	−	0.752229i	−0.958731	−	0.284316i
$7$	−2.53656	−	0.752229i	−0.958731	−	0.284316i
$8$			1.00000i			0.353553i
$9$	1.00000			0.333333
$10$	−0.262732	+	0.455066i	−0.0830833	+	0.143905i
$11$	−0.830215	−	1.43798i	−0.250319	−	0.433566i	0.713294	−	0.700865i	$-0.247202\pi$
$11$	−0.830215	−	1.43798i	−0.250319	−	0.433566i	−0.963614	+	0.267299i	$0.913869\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	−0.0722715	−	0.125178i	−0.0200445	−	0.0347181i	0.855829	−	0.517259i	$-0.173047\pi$
$13$	−0.0722715	−	0.125178i	−0.0200445	−	0.0347181i	−0.875874	+	0.482540i	$0.839714\pi$
$14$	2.57284	−	0.616832i	0.687621	−	0.164855i
$15$	−0.455066	+	0.262732i	−0.117498	+	0.0678372i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$			1.64405i			0.398740i	0.979924	+	0.199370i	$0.0638896\pi$
$17$			1.64405i			0.398740i	−0.979924	+	0.199370i	$0.936110\pi$
$18$	−0.866025	+	0.500000i	−0.204124	+	0.117851i
$19$	−1.54882	+	4.07445i	−0.355324	+	0.934743i
$19$	−1.54882	+	4.07445i	−0.355324	+	0.934743i
$20$		−	0.525465i		−	0.117498i
$21$	2.53656	+	0.752229i	0.553523	+	0.164150i
$22$	1.43798	+	0.830215i	0.306577	+	0.177003i
$23$	5.76865			1.20285			0.601424	−	0.798930i	$-0.294600\pi$
$23$	5.76865			1.20285			0.601424	+	0.798930i	$0.294600\pi$
$24$		−	1.00000i		−	0.204124i
$25$	−2.36194	+	4.09101i	−0.472389	+	0.818201i
$26$	0.125178	+	0.0722715i	0.0245494	+	0.0141736i
$27$	−1.00000			−0.192450
$28$	−1.91973	+	1.82061i	−0.362795	+	0.344064i
$29$	−0.672907	+	0.388503i	−0.124956	+	0.0721432i	−0.561175	−	0.827697i	$-0.689651\pi$
$29$	−0.672907	+	0.388503i	−0.124956	+	0.0721432i	0.436219	+	0.899840i	$0.356317\pi$
$30$	0.262732	−	0.455066i	0.0479682	−	0.0830833i
$31$	−1.07882	−	1.86856i	−0.193761	−	0.335604i	0.752733	−	0.658326i	$-0.228735\pi$
$31$	−1.07882	−	1.86856i	−0.193761	−	0.335604i	−0.946494	+	0.322722i	$0.895402\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	0.830215	+	1.43798i	0.144522	+	0.250319i
$34$	−0.822024	−	1.42379i	−0.140976	−	0.244178i
$35$	−1.35194	+	0.324124i	−0.228519	+	0.0547869i
$36$	0.500000	−	0.866025i	0.0833333	−	0.144338i
$37$	3.16372	+	1.82658i	0.520113	+	0.300287i	0.736981	−	0.675914i	$-0.236251\pi$
$37$	3.16372	+	1.82658i	0.520113	+	0.300287i	−0.216868	+	0.976201i	$0.569584\pi$
$38$	−0.695906	−	4.30299i	−0.112891	−	0.698037i
$39$	0.0722715	+	0.125178i	0.0115727	+	0.0200445i
$40$	0.262732	+	0.455066i	0.0415417	+	0.0719523i
$41$	2.67140	−	4.62700i	0.417203	−	0.722617i	−0.578454	−	0.815715i	$-0.696344\pi$
$41$	2.67140	−	4.62700i	0.417203	−	0.722617i	0.995657	+	0.0930984i	$0.0296771\pi$
$42$	−2.57284	+	0.616832i	−0.396998	+	0.0951793i
$43$	−5.87378	+	10.1737i	−0.895743	+	1.55147i	−0.0628609	+	0.998022i	$0.520022\pi$
$43$	−5.87378	+	10.1737i	−0.895743	+	1.55147i	−0.832882	+	0.553450i	$0.813311\pi$
$44$	−1.66043			−0.250319
$45$	0.455066	−	0.262732i	0.0678372	−	0.0391658i
$46$	−4.99580	+	2.88433i	−0.736590	+	0.425271i
$47$			8.84637i			1.29038i	0.764024	+	0.645188i	$0.223221\pi$
$47$			8.84637i			1.29038i	−0.764024	+	0.645188i	$0.776779\pi$
$48$	0.500000	+	0.866025i	0.0721688	+	0.125000i
$49$	5.86830	+	3.81615i	0.838329	+	0.545165i
$50$		−	4.72389i		−	0.668058i
$51$		−	1.64405i		−	0.230213i
$52$	−0.144543			−0.0200445
$53$	10.6916	+	6.17280i	1.46860	+	0.847899i	0.999381	−	0.0351813i	$-0.0112009\pi$
$53$	10.6916	+	6.17280i	1.46860	+	0.847899i	0.469223	+	0.883080i	$0.344534\pi$
$54$	0.866025	−	0.500000i	0.117851	−	0.0680414i
$55$	−0.755606	−	0.436249i	−0.101886	−	0.0588238i
$56$	0.752229	−	2.53656i	0.100521	−	0.338962i
$57$	1.54882	−	4.07445i	0.205146	−	0.539674i
$58$	0.388503	−	0.672907i	0.0510130	−	0.0883570i
$59$	−8.95017			−1.16521			−0.582606	−	0.812755i	$-0.697967\pi$
$59$	−8.95017			−1.16521			−0.582606	+	0.812755i	$0.697967\pi$
$60$			0.525465i			0.0678372i
$61$			11.3330i			1.45104i	0.688200	+	0.725521i	$0.258401\pi$
$61$			11.3330i			1.45104i	−0.688200	+	0.725521i	$0.741599\pi$
$62$	1.86856	+	1.07882i	0.237308	+	0.137010i
$63$	−2.53656	−	0.752229i	−0.319577	−	0.0947719i
$64$	−1.00000			−0.125000
$65$	−0.0657766	−	0.0379761i	−0.00815858	−	0.00471036i
$66$	−1.43798	−	0.830215i	−0.177003	−	0.102192i
$67$	−10.9327	−	6.31202i	−1.33565	−	0.771136i	−0.349488	−	0.936941i	$-0.613645\pi$
$67$	−10.9327	−	6.31202i	−1.33565	−	0.771136i	−0.986159	+	0.165804i	$0.946978\pi$
$68$	1.42379	+	0.822024i	0.172660	+	0.0996851i
$69$	−5.76865			−0.694464
$70$	1.00875	−	0.956669i	0.120569	−	0.114344i
$71$	−3.46696	−	2.00165i	−0.411453	−	0.237552i	0.279961	−	0.960011i	$-0.409679\pi$
$71$	−3.46696	−	2.00165i	−0.411453	−	0.237552i	−0.691414	+	0.722459i	$0.743012\pi$
$72$			1.00000i			0.117851i
$73$			14.9385i			1.74842i	0.485547	+	0.874211i	$0.338621\pi$
$73$			14.9385i			1.74842i	−0.485547	+	0.874211i	$0.661379\pi$
$74$	−3.65315			−0.424670
$75$	2.36194	−	4.09101i	0.272734	−	0.472389i
$76$	2.75417	+	3.37854i	0.315925	+	0.387546i
$77$	1.02421	+	4.27203i	0.116719	+	0.486843i
$78$	−0.125178	−	0.0722715i	−0.0141736	−	0.00818313i
$79$	−2.28199	+	1.31751i	−0.256743	+	0.148231i	−0.622848	−	0.782343i	$-0.714025\pi$
$79$	−2.28199	+	1.31751i	−0.256743	+	0.148231i	0.366105	+	0.930574i	$0.380691\pi$
$80$	−0.455066	−	0.262732i	−0.0508779	−	0.0293744i
$81$	1.00000			0.111111
$82$			5.34280i			0.590014i
$83$		−	4.27511i		−	0.469254i	−0.972085	−	0.234627i	$-0.924613\pi$
$83$		−	4.27511i		−	0.469254i	0.972085	−	0.234627i	$-0.0753869\pi$
$84$	1.91973	−	1.82061i	0.209460	−	0.198645i
$85$	0.431945	+	0.748151i	0.0468510	+	0.0811483i
$86$		−	11.7476i		−	1.26677i
$87$	0.672907	−	0.388503i	0.0721432	−	0.0416519i
$88$	1.43798	−	0.830215i	0.153289	−	0.0885013i
$89$	−5.38441			−0.570746			−0.285373	−	0.958417i	$-0.592117\pi$
$89$	−5.38441			−0.570746			−0.285373	+	0.958417i	$0.592117\pi$
$90$	−0.262732	+	0.455066i	−0.0276944	+	0.0479682i
$91$	0.0891587	+	0.371886i	0.00934637	+	0.0389843i
$92$	2.88433	−	4.99580i	0.300712	−	0.520848i
$93$	1.07882	+	1.86856i	0.111868	+	0.193761i
$94$	−4.42318	−	7.66118i	−0.456216	−	0.790190i
$95$	0.365674	+	2.26107i	0.0375174	+	0.231981i
$96$	−0.866025	−	0.500000i	−0.0883883	−	0.0510310i
$97$	−5.10593	+	8.84372i	−0.518428	+	0.897944i	0.481343	+	0.876533i	$0.340149\pi$
$97$	−5.10593	+	8.84372i	−0.518428	+	0.897944i	−0.999771	+	0.0214114i	$0.993184\pi$
$98$	−6.99018	−	0.370733i	−0.706114	−	0.0374497i
$99$	−0.830215	−	1.43798i	−0.0834398	−	0.144522i
$100$	2.36194	+	4.09101i	0.236194	+	0.409101i
$101$	−4.87693	−	2.81569i	−0.485272	−	0.280172i	0.237339	−	0.971427i	$-0.423725\pi$
$101$	−4.87693	−	2.81569i	−0.485272	−	0.280172i	−0.722611	+	0.691255i	$0.757058\pi$
$102$	0.822024	+	1.42379i	0.0813926	+	0.140976i
$103$	−7.09233	+	12.2843i	−0.698829	+	1.21041i	0.270044	+	0.962848i	$0.412962\pi$
$103$	−7.09233	+	12.2843i	−0.698829	+	1.21041i	−0.968873	+	0.247559i	$0.920372\pi$
$104$	0.125178	−	0.0722715i	0.0122747	−	0.00708680i
$105$	1.35194	−	0.324124i	0.131936	−	0.0316312i
$106$	−12.3456			−1.19911
$107$	13.0945	+	7.56013i	1.26590	+	0.730865i	0.974209	−	0.225649i	$-0.0724502\pi$
$107$	13.0945	+	7.56013i	1.26590	+	0.730865i	0.291687	+	0.956514i	$0.405783\pi$
$108$	−0.500000	+	0.866025i	−0.0481125	+	0.0833333i
$109$		−	3.48127i		−	0.333446i	−0.986004	−	0.166723i	$-0.946682\pi$
$109$		−	3.48127i		−	0.333446i	0.986004	−	0.166723i	$-0.0533185\pi$
$110$	0.872498			0.0831894
$111$	−3.16372	−	1.82658i	−0.300287	−	0.173371i
$112$	0.616832	+	2.57284i	0.0582851	+	0.243111i
$113$		−	4.50696i		−	0.423980i	−0.977272	−	0.211990i	$-0.932006\pi$
$113$		−	4.50696i		−	0.423980i	0.977272	−	0.211990i	$-0.0679944\pi$
$114$	0.695906	+	4.30299i	0.0651776	+	0.403012i
$115$	2.62512	−	1.51561i	0.244793	−	0.141332i
$116$			0.777006i			0.0721432i
$117$	−0.0722715	−	0.125178i	−0.00668150	−	0.0115727i
$118$	7.75107	−	4.47508i	0.713544	−	0.411965i
$119$	1.23670	−	4.17023i	0.113368	−	0.382285i
$120$	−0.262732	−	0.455066i	−0.0239841	−	0.0415417i
$121$	4.12148	−	7.13862i	0.374680	−	0.648966i
$122$	−5.66650	−	9.81466i	−0.513021	−	0.888578i
$123$	−2.67140	+	4.62700i	−0.240872	+	0.417203i
$124$	−2.15763			−0.193761
$125$			5.10956i			0.457013i
$126$	2.57284	−	0.616832i	0.229207	−	0.0549518i
$127$	−3.80302	+	2.19567i	−0.337463	+	0.194835i	−0.659150	−	0.752012i	$-0.729084\pi$
$127$	−3.80302	+	2.19567i	−0.337463	+	0.194835i	0.321686	+	0.946846i	$0.395750\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	5.87378	−	10.1737i	0.517158	−	0.895743i
$130$	0.0759523			0.00666145
$131$	3.83242	−	2.21265i	0.334840	−	0.193320i	−0.323148	−	0.946348i	$-0.604741\pi$
$131$	3.83242	−	2.21265i	0.334840	−	0.193320i	0.657988	+	0.753029i	$0.271408\pi$
$132$	1.66043			0.144522
$133$	6.99360	−	9.17003i	0.606422	−	0.795143i
$134$	12.6240			1.09055
$135$	−0.455066	+	0.262732i	−0.0391658	+	0.0226124i
$136$	−1.64405			−0.140976
$137$	9.23568	−	15.9967i	0.789057	−	1.36669i	−0.137488	−	0.990503i	$-0.543903\pi$
$137$	9.23568	−	15.9967i	0.789057	−	1.36669i	0.926545	−	0.376184i	$-0.122764\pi$
$138$	4.99580	−	2.88433i	0.425271	−	0.245530i
$139$	11.4593	−	6.61605i	0.971968	−	0.561166i	0.0721323	−	0.997395i	$-0.477020\pi$
$139$	11.4593	−	6.61605i	0.971968	−	0.561166i	0.899836	+	0.436229i	$0.143686\pi$
$140$	−0.395270	+	1.33287i	−0.0334064	+	0.112648i
$141$		−	8.84637i		−	0.744998i
$142$	4.00331			0.335950
$143$	−0.120002	+	0.207849i	−0.0100351	+	0.0173812i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−0.204145	+	0.353589i	−0.0169533	+	0.0293640i
$146$	−7.46926	−	12.9371i	−0.618160	−	1.07069i
$147$	−5.86830	−	3.81615i	−0.484009	−	0.314751i
$148$	3.16372	−	1.82658i	0.260056	−	0.150144i
$149$	9.16238	+	15.8697i	0.750611	+	1.30010i	0.947527	+	0.319676i	$0.103574\pi$
$149$	9.16238	+	15.8697i	0.750611	+	1.30010i	−0.196916	+	0.980420i	$0.563093\pi$
$150$			4.72389i			0.385704i
$151$	5.73878	−	3.31329i	0.467016	−	0.269632i	−0.247974	−	0.968767i	$-0.579765\pi$
$151$	5.73878	−	3.31329i	0.467016	−	0.269632i	0.714990	+	0.699135i	$0.246431\pi$
$152$	−4.07445	−	1.54882i	−0.330482	−	0.125626i
$153$			1.64405i			0.132913i
$154$	−3.02300	−	3.18758i	−0.243600	−	0.256863i
$155$	−0.981864	−	0.566880i	−0.0788652	−	0.0455329i
$156$	0.144543			0.0115727
$157$			1.18807i			0.0948184i	0.998876	+	0.0474092i	$0.0150965\pi$
$157$			1.18807i			0.0948184i	−0.998876	+	0.0474092i	$0.984904\pi$
$158$	1.31751	−	2.28199i	0.104815	−	0.181545i
$159$	−10.6916	−	6.17280i	−0.847899	−	0.489535i
$160$	0.525465			0.0415417
$161$	−14.6325	−	4.33935i	−1.15321	−	0.341988i
$162$	−0.866025	+	0.500000i	−0.0680414	+	0.0392837i
$163$	1.88063	−	3.25735i	0.147303	−	0.255136i	−0.782927	−	0.622114i	$-0.786274\pi$
$163$	1.88063	−	3.25735i	0.147303	−	0.255136i	0.930230	+	0.366978i	$0.119608\pi$
$164$	−2.67140	−	4.62700i	−0.208601	−	0.361308i
$165$	0.755606	+	0.436249i	0.0588238	+	0.0339619i
$166$	2.13755	+	3.70235i	0.165906	+	0.287358i
$167$	−2.95754	−	5.12261i	−0.228861	−	0.396400i	0.728610	−	0.684929i	$-0.240167\pi$
$167$	−2.95754	−	5.12261i	−0.228861	−	0.396400i	−0.957471	+	0.288530i	$0.906834\pi$
$168$	−0.752229	+	2.53656i	−0.0580357	+	0.195700i
$169$	6.48955	−	11.2402i	0.499196	−	0.864634i
$170$	−0.748151	−	0.431945i	−0.0573805	−	0.0331287i
$171$	−1.54882	+	4.07445i	−0.118441	+	0.311581i
$172$	5.87378	+	10.1737i	0.447872	+	0.775736i
$173$	7.92172	+	13.7208i	0.602277	+	1.04317i	0.992475	+	0.122444i	$0.0390732\pi$
$173$	7.92172	+	13.7208i	0.602277	+	1.04317i	−0.390198	+	0.920731i	$0.627594\pi$
$174$	−0.388503	+	0.672907i	−0.0294523	+	0.0510130i
$175$	9.06859	−	8.60037i	0.685521	−	0.650127i
$176$	−0.830215	+	1.43798i	−0.0625798	+	0.108391i
$177$	8.95017			0.672736
$178$	4.66303	−	2.69220i	0.349509	−	0.201789i
$179$	11.1306	−	6.42628i	0.831943	−	0.480323i	−0.0225745	−	0.999745i	$-0.507186\pi$
$179$	11.1306	−	6.42628i	0.831943	−	0.480323i	0.854517	+	0.519423i	$0.173853\pi$
$180$		−	0.525465i		−	0.0391658i
$181$	−8.17492	−	14.1594i	−0.607637	−	1.05246i	−0.991629	−	0.129122i	$-0.958784\pi$
$181$	−8.17492	−	14.1594i	−0.607637	−	1.05246i	0.383991	−	0.923337i	$-0.374549\pi$
$182$	−0.263157	−	0.277484i	−0.0195065	−	0.0205685i
$183$		−	11.3330i		−	0.837759i
$184$			5.76865i			0.425271i
$185$	1.91960			0.141132
$186$	−1.86856	−	1.07882i	−0.137010	−	0.0791026i
$187$	2.36410	−	1.36491i	0.172880	−	0.0998124i
$188$	7.66118	+	4.42318i	0.558749	+	0.322594i
$189$	2.53656	+	0.752229i	0.184508	+	0.0547166i
$190$	−1.44722	−	1.77531i	−0.104992	−	0.128794i
$191$	1.87640	−	3.25002i	0.135772	−	0.235163i	−0.790120	−	0.612952i	$-0.789982\pi$
$191$	1.87640	−	3.25002i	0.135772	−	0.235163i	0.925892	+	0.377788i	$0.123315\pi$
$192$	1.00000			0.0721688
$193$			4.61867i			0.332459i	0.986087	+	0.166230i	$0.0531593\pi$
$193$			4.61867i			0.332459i	−0.986087	+	0.166230i	$0.946841\pi$
$194$		−	10.2119i		−	0.733168i
$195$	0.0657766	+	0.0379761i	0.00471036	+	0.00271953i
$196$	6.23904	−	3.17402i	0.445645	−	0.226716i
$197$	−17.2171			−1.22667			−0.613334	−	0.789823i	$-0.710172\pi$
$197$	−17.2171			−1.22667			−0.613334	+	0.789823i	$0.710172\pi$
$198$	1.43798	+	0.830215i	0.102192	+	0.0590008i
$199$	−10.3446	−	5.97247i	−0.733311	−	0.423377i	0.0863215	−	0.996267i	$-0.472489\pi$
$199$	−10.3446	−	5.97247i	−0.733311	−	0.423377i	−0.819632	+	0.572890i	$0.805822\pi$
$200$	−4.09101	−	2.36194i	−0.289278	−	0.167015i
$201$	10.9327	+	6.31202i	0.771136	+	0.445216i
$202$	5.63139			0.396223
$203$	1.99911	−	0.479282i	0.140310	−	0.0336390i
$204$	−1.42379	−	0.822024i	−0.0996851	−	0.0575532i
$205$		−	2.80746i		−	0.196081i
$206$		−	14.1847i		−	0.988293i
$207$	5.76865			0.400949
$208$	−0.0722715	+	0.125178i	−0.00501113	+	0.00867952i
$209$	7.14482	−	1.15550i	0.494217	−	0.0799279i
$210$	−1.00875	+	0.956669i	−0.0696105	+	0.0660164i
$211$	−11.8164	−	6.82218i	−0.813472	−	0.469658i	0.0346882	−	0.999398i	$-0.488956\pi$
$211$	−11.8164	−	6.82218i	−0.813472	−	0.469658i	−0.848160	+	0.529740i	$0.822290\pi$
$212$	10.6916	−	6.17280i	0.734302	−	0.423949i
$213$	3.46696	+	2.00165i	0.237552	+	0.137151i
$214$	−15.1203			−1.03360
$215$			6.17293i			0.420990i
$216$		−	1.00000i		−	0.0680414i
$217$	1.33090	+	5.55124i	0.0903471	+	0.376843i
$218$	1.74064	+	3.01487i	0.117891	+	0.204193i
$219$		−	14.9385i		−	1.00945i
$220$	−0.755606	+	0.436249i	−0.0509429	+	0.0294119i
$221$	0.205799	−	0.118818i	0.0138435	−	0.00799255i
$222$	3.65315			0.245184
$223$	5.28531	−	9.15442i	0.353930	−	0.613025i	−0.633004	−	0.774149i	$-0.718178\pi$
$223$	5.28531	−	9.15442i	0.353930	−	0.613025i	0.986934	+	0.161123i	$0.0515117\pi$
$224$	−1.82061	−	1.91973i	−0.121645	−	0.128267i
$225$	−2.36194	+	4.09101i	−0.157463	+	0.272734i
$226$	2.25348	+	3.90315i	0.149899	+	0.259633i
$227$	3.04992	+	5.28261i	0.202430	+	0.350619i	0.949311	−	0.314339i	$-0.101783\pi$
$227$	3.04992	+	5.28261i	0.202430	+	0.350619i	−0.746881	+	0.664958i	$0.768449\pi$
$228$	−2.75417	−	3.37854i	−0.182399	−	0.223750i
$229$	−1.03790	−	0.599235i	−0.0685867	−	0.0395985i	0.465314	−	0.885145i	$-0.345941\pi$
$229$	−1.03790	−	0.599235i	−0.0685867	−	0.0395985i	−0.533901	+	0.845547i	$0.679275\pi$
$230$	−1.51561	+	2.62512i	−0.0999365	+	0.173095i
$231$	−1.02421	−	4.27203i	−0.0673879	−	0.281079i
$232$	−0.388503	−	0.672907i	−0.0255065	−	0.0441785i
$233$	10.0645	+	17.4323i	0.659350	+	1.14203i	0.980784	+	0.195096i	$0.0625018\pi$
$233$	10.0645	+	17.4323i	0.659350	+	1.14203i	−0.321434	+	0.946932i	$0.604165\pi$
$234$	0.125178	+	0.0722715i	0.00818313	+	0.00472453i
$235$	2.32423	+	4.02568i	0.151616	+	0.262606i
$236$	−4.47508	+	7.75107i	−0.291303	+	0.504552i
$237$	2.28199	−	1.31751i	0.148231	−	0.0855812i
$238$	1.01410	+	4.22988i	0.0657345	+	0.274182i
$239$	9.88704			0.639540			0.319770	−	0.947495i	$-0.396394\pi$
$239$	9.88704			0.639540			0.319770	+	0.947495i	$0.396394\pi$
$240$	0.455066	+	0.262732i	0.0293744	+	0.0169593i
$241$	7.53452	−	13.0502i	0.485341	−	0.840635i	−0.514517	−	0.857480i	$-0.672029\pi$
$241$	7.53452	−	13.0502i	0.485341	−	0.840635i	0.999858	+	0.0168448i	$0.00536213\pi$
$242$			8.24297i			0.529878i
$243$	−1.00000			−0.0641500
$244$	9.81466	+	5.66650i	0.628319	+	0.362760i
$245$	3.67309	+	0.194807i	0.234665	+	0.0124458i
$246$		−	5.34280i		−	0.340645i
$247$	0.621967	−	0.100588i	0.0395748	−	0.00640028i
$248$	1.86856	−	1.07882i	0.118654	−	0.0685048i
$249$			4.27511i			0.270924i
$250$	−2.55478	−	4.42501i	−0.161579	−	0.279862i
$251$	−17.0931	+	9.86873i	−1.07891	+	0.622909i	−0.930602	−	0.366033i	$-0.880716\pi$
$251$	−17.0931	+	9.86873i	−1.07891	+	0.622909i	−0.148307	+	0.988941i	$0.547382\pi$
$252$	−1.91973	+	1.82061i	−0.120932	+	0.114688i
$253$	−4.78922	−	8.29518i	−0.301096	−	0.521513i
$254$	2.19567	−	3.80302i	0.137769	−	0.238623i
$255$	−0.431945	−	0.748151i	−0.0270494	−	0.0468510i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−9.42766			−0.588081			−0.294041	−	0.955793i	$-0.595000\pi$
$257$	−9.42766			−0.588081			−0.294041	+	0.955793i	$0.595000\pi$
$258$			11.7476i			0.731371i
$259$	−6.65098	−	7.01307i	−0.413272	−	0.435771i
$260$	−0.0657766	+	0.0379761i	−0.00407929	+	0.00235518i
$261$	−0.672907	+	0.388503i	−0.0416519	+	0.0240477i
$262$	−2.21265	+	3.83242i	−0.136698	+	0.236768i
$263$	−13.7149			−0.845695			−0.422847	−	0.906201i	$-0.638969\pi$
$263$	−13.7149			−0.845695			−0.422847	+	0.906201i	$0.638969\pi$
$264$	−1.43798	+	0.830215i	−0.0885013	+	0.0510962i
$265$	6.48718			0.398504
$266$	−1.47162	+	11.4383i	−0.0902310	+	0.701326i
$267$	5.38441			0.329520
$268$	−10.9327	+	6.31202i	−0.667824	+	0.385568i
$269$	−24.7358			−1.50817			−0.754085	−	0.656777i	$-0.771919\pi$
$269$	−24.7358			−1.50817			−0.754085	+	0.656777i	$0.771919\pi$
$270$	0.262732	−	0.455066i	0.0159894	−	0.0276944i
$271$	−16.5334	+	9.54553i	−1.00433	+	0.579850i	−0.909526	−	0.415646i	$-0.863555\pi$
$271$	−16.5334	+	9.54553i	−1.00433	+	0.579850i	−0.0948031	+	0.995496i	$0.530222\pi$
$272$	1.42379	−	0.822024i	0.0863298	−	0.0498426i
$273$	−0.0891587	−	0.371886i	−0.00539613	−	0.0225076i
$274$			18.4714i			1.11590i
$275$	7.84369			0.472992
$276$	−2.88433	+	4.99580i	−0.173616	+	0.300712i
$277$	6.82271	+	11.8173i	0.409937	+	0.710032i	0.994882	−	0.101041i	$-0.0322173\pi$
$277$	6.82271	+	11.8173i	0.409937	+	0.710032i	−0.584945	+	0.811073i	$0.698884\pi$
$278$	−6.61605	+	11.4593i	−0.396804	+	0.687285i
$279$	−1.07882	−	1.86856i	−0.0645870	−	0.111868i
$280$	−0.324124	−	1.35194i	−0.0193701	−	0.0807938i
$281$	17.1295	−	9.88970i	1.02186	−	0.589970i	0.107217	−	0.994236i	$-0.465806\pi$
$281$	17.1295	−	9.88970i	1.02186	−	0.589970i	0.914642	+	0.404266i	$0.132473\pi$
$282$	4.42318	+	7.66118i	0.263397	+	0.456216i
$283$			0.510659i			0.0303555i	0.999885	+	0.0151778i	$0.00483142\pi$
$283$			0.510659i			0.0303555i	−0.999885	+	0.0151778i	$0.995169\pi$
$284$	−3.46696	+	2.00165i	−0.205726	+	0.118776i
$285$	−0.365674	−	2.26107i	−0.0216607	−	0.133934i
$286$		−	0.240004i		−	0.0141917i
$287$	−10.2567	+	9.72718i	−0.605437	+	0.574177i
$288$	0.866025	+	0.500000i	0.0510310	+	0.0294628i
$289$	14.2971			0.841006
$290$		−	0.408290i		−	0.0239756i
$291$	5.10593	−	8.84372i	0.299315	−	0.518428i
$292$	12.9371	+	7.46926i	0.757089	+	0.437105i
$293$	−31.5054			−1.84057			−0.920284	−	0.391252i	$-0.872042\pi$
$293$	−31.5054			−1.84057			−0.920284	+	0.391252i	$0.872042\pi$
$294$	6.99018	+	0.370733i	0.407675	+	0.0216216i
$295$	−4.07292	+	2.35150i	−0.237134	+	0.136910i
$296$	−1.82658	+	3.16372i	−0.106168	+	0.183888i
$297$	0.830215	+	1.43798i	0.0481740	+	0.0834398i
$298$	−15.8697	−	9.16238i	−0.919307	−	0.530762i
$299$	−0.416909	−	0.722108i	−0.0241105	−	0.0417606i
$300$	−2.36194	−	4.09101i	−0.136367	−	0.236194i
$301$	22.5522	−	21.3878i	1.29988	−	1.23277i
$302$	−3.31329	+	5.73878i	−0.190658	+	0.330230i
$303$	4.87693	+	2.81569i	0.280172	+	0.161757i
$304$	4.30299	−	0.695906i	0.246793	−	0.0399130i
$305$	2.97755	+	5.15726i	0.170494	+	0.295304i
$306$	−0.822024	−	1.42379i	−0.0469920	−	0.0813926i
$307$	−10.4975	+	18.1823i	−0.599126	+	1.03772i	0.393825	+	0.919186i	$0.371152\pi$
$307$	−10.4975	+	18.1823i	−0.599126	+	1.03772i	−0.992950	+	0.118531i	$0.962182\pi$
$308$	4.21179	+	1.24902i	0.239989	+	0.0711698i
$309$	7.09233	−	12.2843i	0.403469	−	0.698829i
$310$	1.13376			0.0643932
$311$	9.23058	−	5.32928i	0.523418	−	0.302196i	−0.214914	−	0.976633i	$-0.568947\pi$
$311$	9.23058	−	5.32928i	0.523418	−	0.302196i	0.738332	+	0.674437i	$0.235614\pi$
$312$	−0.125178	+	0.0722715i	−0.00708680	+	0.00409157i
$313$			2.95413i			0.166977i	0.996509	+	0.0834887i	$0.0266063\pi$
$313$			2.95413i			0.166977i	−0.996509	+	0.0834887i	$0.973394\pi$
$314$	−0.594035	−	1.02890i	−0.0335234	−	0.0580642i
$315$	−1.35194	+	0.324124i	−0.0761731	+	0.0182623i
$316$			2.63501i			0.148231i
$317$		−	16.6840i		−	0.937069i	−0.883445	−	0.468535i	$-0.844782\pi$
$317$		−	16.6840i		−	0.937069i	0.883445	−	0.468535i	$-0.155218\pi$
$318$	12.3456			0.692306
$319$	1.11732	+	0.645083i	0.0625577	+	0.0361177i
$320$	−0.455066	+	0.262732i	−0.0254390	+	0.0146872i
$321$	−13.0945	−	7.56013i	−0.730865	−	0.421965i
$322$	14.8418	−	3.55829i	0.827103	−	0.198296i
$323$	−6.69860	−	2.54634i	−0.372720	−	0.141682i
$324$	0.500000	−	0.866025i	0.0277778	−	0.0481125i
$325$	0.682805			0.0378752
$326$			3.76127i			0.208317i
$327$			3.48127i			0.192515i
$328$	4.62700	+	2.67140i	0.255484	+	0.147503i
$329$	6.65449	−	22.4394i	0.366874	−	1.23712i
$330$	−0.872498			−0.0480294
$331$	−12.0393	−	6.95090i	−0.661741	−	0.382056i	0.131199	−	0.991356i	$-0.458117\pi$
$331$	−12.0393	−	6.95090i	−0.661741	−	0.382056i	−0.792940	+	0.609300i	$0.791451\pi$
$332$	−3.70235	−	2.13755i	−0.203193	−	0.117313i
$333$	3.16372	+	1.82658i	0.173371	+	0.100096i
$334$	5.12261	+	2.95754i	0.280297	+	0.161829i
$335$	−6.63349			−0.362426
$336$	−0.616832	−	2.57284i	−0.0336509	−	0.140360i
$337$	4.71990	+	2.72504i	0.257110	+	0.148442i	0.623015	−	0.782210i	$-0.285907\pi$
$337$	4.71990	+	2.72504i	0.257110	+	0.148442i	−0.365906	+	0.930652i	$0.619241\pi$
$338$			12.9791i			0.705970i
$339$			4.50696i			0.244785i
$340$	0.863890			0.0468510
$341$	−1.79130	+	3.10262i	−0.0970042	+	0.168016i
$342$	−0.695906	−	4.30299i	−0.0376303	−	0.232679i
$343$	−12.0147	−	14.0942i	−0.648733	−	0.761016i
$344$	−10.1737	−	5.87378i	−0.548528	−	0.316693i
$345$	−2.62512	+	1.51561i	−0.141332	+	0.0815978i
$346$	−13.7208	−	7.92172i	−0.737636	−	0.425874i
$347$	10.7279			0.575906			0.287953	−	0.957644i	$-0.407025\pi$
$347$	10.7279			0.575906			0.287953	+	0.957644i	$0.407025\pi$
$348$		−	0.777006i		−	0.0416519i
$349$			35.3919i			1.89448i	0.320518	+	0.947242i	$0.396143\pi$
$349$			35.3919i			1.89448i	−0.320518	+	0.947242i	$0.603857\pi$
$350$	−3.55344	+	11.9824i	−0.189940	+	0.640488i
$351$	0.0722715	+	0.125178i	0.00385757	+	0.00668150i
$352$		−	1.66043i		−	0.0885013i
$353$	7.64329	−	4.41286i	0.406811	−	0.234873i	−0.282607	−	0.959236i	$-0.591199\pi$
$353$	7.64329	−	4.41286i	0.406811	−	0.234873i	0.689419	+	0.724363i	$0.257866\pi$
$354$	−7.75107	+	4.47508i	−0.411965	+	0.237848i
$355$	−2.10360			−0.111647
$356$	−2.69220	+	4.66303i	−0.142686	+	0.247140i
$357$	−1.23670	+	4.17023i	−0.0654532	+	0.220712i
$358$	−6.42628	+	11.1306i	−0.339639	+	0.588273i
$359$	7.08650	+	12.2742i	0.374011	+	0.647807i	0.990179	−	0.139809i	$-0.0446488\pi$
$359$	7.08650	+	12.2742i	0.374011	+	0.647807i	−0.616167	+	0.787615i	$0.711315\pi$
$360$	0.262732	+	0.455066i	0.0138472	+	0.0239841i
$361$	−14.2023	−	12.6212i	−0.747490	−	0.664274i
$362$	14.1594	+	8.17492i	0.744201	+	0.429664i
$363$	−4.12148	+	7.13862i	−0.216322	+	0.374680i
$364$	0.366642	+	0.108729i	0.0192173	+	0.00569897i
$365$	3.92483	+	6.79801i	0.205435	+	0.355824i
$366$	5.66650	+	9.81466i	0.296193	+	0.513021i
$367$	−1.16767	−	0.674156i	−0.0609520	−	0.0351906i	0.469214	−	0.883084i	$-0.344537\pi$
$367$	−1.16767	−	0.674156i	−0.0609520	−	0.0351906i	−0.530166	+	0.847894i	$0.677871\pi$
$368$	−2.88433	−	4.99580i	−0.150356	−	0.260424i
$369$	2.67140	−	4.62700i	0.139068	−	0.240872i
$370$	−1.66243	+	0.959802i	−0.0864254	+	0.0498977i
$371$	−22.4765	−	23.7002i	−1.16692	−	1.23045i
$372$	2.15763			0.111868
$373$	−30.6884	−	17.7179i	−1.58898	−	0.917400i	−0.993475	−	0.114050i	$-0.963618\pi$
$373$	−30.6884	−	17.7179i	−1.58898	−	0.917400i	−0.595508	−	0.803350i	$-0.703049\pi$
$374$	−1.36491	+	2.36410i	−0.0705781	+	0.122245i
$375$		−	5.10956i		−	0.263857i
$376$	−8.84637			−0.456216
$377$	0.0972640	+	0.0561554i	0.00500935	+	0.00289215i
$378$	−2.57284	+	0.616832i	−0.132333	+	0.0317264i
$379$		−	7.24232i		−	0.372013i	−0.982549	−	0.186006i	$-0.940445\pi$
$379$		−	7.24232i		−	0.372013i	0.982549	−	0.186006i	$-0.0595545\pi$
$380$	2.14098	+	0.813852i	0.109830	+	0.0417497i
$381$	3.80302	−	2.19567i	0.194835	−	0.112488i
$382$			3.75280i			0.192010i
$383$	0.803362	+	1.39146i	0.0410499	+	0.0711005i	0.885820	−	0.464028i	$-0.153596\pi$
$383$	0.803362	+	1.39146i	0.0410499	+	0.0711005i	−0.844770	+	0.535129i	$0.820263\pi$
$384$	−0.866025	+	0.500000i	−0.0441942	+	0.0255155i
$385$	1.58848	+	1.67496i	0.0809565	+	0.0853639i
$386$	−2.30934	−	3.99989i	−0.117542	−	0.203589i
$387$	−5.87378	+	10.1737i	−0.298581	+	0.517158i
$388$	5.10593	+	8.84372i	0.259214	+	0.448972i
$389$	−14.0190	+	24.2816i	−0.710791	+	1.23113i	0.253770	+	0.967265i	$0.418329\pi$
$389$	−14.0190	+	24.2816i	−0.710791	+	1.23113i	−0.964561	+	0.263861i	$0.915004\pi$
$390$	−0.0759523			−0.00384599
$391$			9.48395i			0.479624i
$392$	−3.81615	+	5.86830i	−0.192745	+	0.296394i
$393$	−3.83242	+	2.21265i	−0.193320	+	0.111613i
$394$	14.9105	−	8.60856i	0.751178	−	0.433693i
$395$	−0.692303	+	1.19910i	−0.0348335	+	0.0603335i
$396$	−1.66043			−0.0834398
$397$	5.44719	−	3.14493i	0.273386	−	0.157840i	−0.357039	−	0.934089i	$-0.616214\pi$
$397$	5.44719	−	3.14493i	0.273386	−	0.157840i	0.630426	+	0.776250i	$0.282880\pi$
$398$	11.9449			0.598746
$399$	−6.99360	+	9.17003i	−0.350118	+	0.459076i
$400$	4.72389			0.236194
$401$	−14.1909	+	8.19310i	−0.708658	+	0.409144i	−0.810564	−	0.585650i	$-0.800839\pi$
$401$	−14.1909	+	8.19310i	−0.708658	+	0.409144i	0.101906	+	0.994794i	$0.467506\pi$
$402$	−12.6240			−0.629630
$403$	−0.155935	+	0.270088i	−0.00776768	+	0.0134540i
$404$	−4.87693	+	2.81569i	−0.242636	+	0.140086i
$405$	0.455066	−	0.262732i	0.0226124	−	0.0130553i
$406$	−1.49164	+	1.41463i	−0.0740290	+	0.0702068i
$407$		−	6.06581i		−	0.300671i
$408$	1.64405			0.0813926
$409$	10.6943	−	18.5231i	0.528799	−	0.915906i	−0.470637	−	0.882327i	$-0.655976\pi$
$409$	10.6943	−	18.5231i	0.528799	−	0.915906i	0.999436	−	0.0335793i	$-0.0106906\pi$
$410$	1.40373	+	2.43133i	0.0693252	+	0.120075i
$411$	−9.23568	+	15.9967i	−0.455563	+	0.789057i
$412$	7.09233	+	12.2843i	0.349414	+	0.605203i
$413$	22.7027	+	6.73258i	1.11713	+	0.331288i
$414$	−4.99580	+	2.88433i	−0.245530	+	0.141757i
$415$	−1.12321	−	1.94546i	−0.0551362	−	0.0954987i
$416$		−	0.144543i		−	0.00708680i
$417$	−11.4593	+	6.61605i	−0.561166	+	0.323989i
$418$	−5.60984	+	4.57310i	−0.274386	+	0.223678i
$419$			15.8720i			0.775399i	0.921786	+	0.387699i	$0.126730\pi$
$419$			15.8720i			0.775399i	−0.921786	+	0.387699i	$0.873270\pi$
$420$	0.395270	−	1.33287i	0.0192872	−	0.0650376i
$421$	24.4861	+	14.1371i	1.19338	+	0.688999i	0.959072	−	0.283163i	$-0.0913836\pi$
$421$	24.4861	+	14.1371i	1.19338	+	0.688999i	0.234310	+	0.972162i	$0.424717\pi$
$422$	13.6444			0.664197
$423$			8.84637i			0.430125i
$424$	−6.17280	+	10.6916i	−0.299777	+	0.519230i
$425$	−6.72581	−	3.88315i	−0.326250	−	0.188360i
$426$	−4.00331			−0.193961
$427$	8.52501	−	28.7469i	0.412554	−	1.39116i
$428$	13.0945	−	7.56013i	0.632948	−	0.365433i
$429$	0.120002	−	0.207849i	0.00579374	−	0.0100351i
$430$	−3.08647	−	5.34592i	−0.148843	−	0.257803i
$431$	−10.0030	−	5.77523i	−0.481827	−	0.278183i	0.239350	−	0.970933i	$-0.423066\pi$
$431$	−10.0030	−	5.77523i	−0.481827	−	0.278183i	−0.721178	+	0.692750i	$0.756399\pi$
$432$	0.500000	+	0.866025i	0.0240563	+	0.0416667i
$433$	−4.85446	−	8.40817i	−0.233290	−	0.404071i	0.725484	−	0.688239i	$-0.241616\pi$
$433$	−4.85446	−	8.40817i	−0.233290	−	0.404071i	−0.958774	+	0.284168i	$0.908283\pi$
$434$	−3.92821	−	4.14207i	−0.188560	−	0.198826i
$435$	0.204145	−	0.353589i	0.00978799	−	0.0169533i
$436$	−3.01487	−	1.74064i	−0.144386	−	0.0833614i
$437$	−8.93461	+	23.5041i	−0.427401	+	1.12435i
$438$	7.46926	+	12.9371i	0.356895	+	0.618160i
$439$	14.5360	+	25.1771i	0.693765	+	1.20164i	0.970595	+	0.240717i	$0.0773827\pi$
$439$	14.5360	+	25.1771i	0.693765	+	1.20164i	−0.276830	+	0.960919i	$0.589284\pi$
$440$	0.436249	−	0.755606i	0.0207974	−	0.0360221i
$441$	5.86830	+	3.81615i	0.279443	+	0.181722i
$442$	−0.118818	+	0.205799i	−0.00565159	+	0.00978884i
$443$	10.8488			0.515443			0.257721	−	0.966219i	$-0.417028\pi$
$443$	10.8488			0.515443			0.257721	+	0.966219i	$0.417028\pi$
$444$	−3.16372	+	1.82658i	−0.150144	+	0.0866855i
$445$	−2.45026	+	1.41466i	−0.116153	+	0.0670612i
$446$			10.5706i			0.500533i
$447$	−9.16238	−	15.8697i	−0.433365	−	0.750611i
$448$	2.53656	+	0.752229i	0.119841	+	0.0355395i
$449$			29.4620i			1.39040i	0.718816	+	0.695200i	$0.244684\pi$
$449$			29.4620i			1.39040i	−0.718816	+	0.695200i	$0.755316\pi$
$450$		−	4.72389i		−	0.222686i
$451$	−8.87135			−0.417736
$452$	−3.90315	−	2.25348i	−0.183589	−	0.105995i
$453$	−5.73878	+	3.31329i	−0.269632	+	0.155672i
$454$	−5.28261	−	3.04992i	−0.247925	−	0.143140i
$455$	0.138280	+	0.145808i	0.00648265	+	0.00683558i
$456$	4.07445	+	1.54882i	0.190804	+	0.0725302i
$457$	−3.98037	+	6.89420i	−0.186194	+	0.322497i	−0.943978	−	0.330008i	$-0.892949\pi$
$457$	−3.98037	+	6.89420i	−0.186194	+	0.322497i	0.757784	+	0.652505i	$0.226282\pi$
$458$	1.19847			0.0560008
$459$		−	1.64405i		−	0.0767376i
$460$		−	3.03122i		−	0.141332i
$461$	−30.8440	−	17.8078i	−1.43655	−	0.829391i	−0.438940	−	0.898517i	$-0.644646\pi$
$461$	−30.8440	−	17.8078i	−1.43655	−	0.829391i	−0.997608	+	0.0691254i	$0.977979\pi$
$462$	3.02300	+	3.18758i	0.140643	+	0.148300i
$463$	−2.87479			−0.133603			−0.0668015	−	0.997766i	$-0.521279\pi$
$463$	−2.87479			−0.133603			−0.0668015	+	0.997766i	$0.521279\pi$
$464$	0.672907	+	0.388503i	0.0312389	+	0.0180358i
$465$	0.981864	+	0.566880i	0.0455329	+	0.0262884i
$466$	−17.4323	−	10.0645i	−0.807536	−	0.466231i
$467$	18.1338	+	10.4695i	0.839130	+	0.484472i	0.856968	−	0.515369i	$-0.172345\pi$
$467$	18.1338	+	10.4695i	0.839130	+	0.484472i	−0.0178383	+	0.999841i	$0.505678\pi$
$468$	−0.144543			−0.00668150
$469$	22.9835	+	24.2348i	1.06128	+	1.11906i
$470$	−4.02568	−	2.32423i	−0.185691	−	0.107209i
$471$		−	1.18807i		−	0.0547434i
$472$		−	8.95017i		−	0.411965i
$473$	19.5060			0.896887
$474$	−1.31751	+	2.28199i	−0.0605150	+	0.104815i
$475$	−13.0104	−	15.9599i	−0.596957	−	0.732289i
$476$	−2.99318	−	3.15613i	−0.137192	−	0.144661i
$477$	10.6916	+	6.17280i	0.489535	+	0.282633i
$478$	−8.56243	+	4.94352i	−0.391636	+	0.226111i
$479$	18.1869	+	10.5002i	0.830982	+	0.479768i	0.854189	−	0.519963i	$-0.174054\pi$
$479$	18.1869	+	10.5002i	0.830982	+	0.479768i	−0.0232069	+	0.999731i	$0.507388\pi$
$480$	−0.525465			−0.0239841
$481$		−	0.528038i		−	0.0240764i
$482$			15.0690i			0.686376i
$483$	14.6325	+	4.33935i	0.665804	+	0.197447i
$484$	−4.12148	−	7.13862i	−0.187340	−	0.324483i
$485$			5.36597i			0.243656i
$486$	0.866025	−	0.500000i	0.0392837	−	0.0226805i
$487$	15.7953	−	9.11941i	0.715752	−	0.413240i	−0.0974350	−	0.995242i	$-0.531064\pi$
$487$	15.7953	−	9.11941i	0.715752	−	0.413240i	0.813187	+	0.582002i	$0.197730\pi$
$488$	−11.3330			−0.513021
$489$	−1.88063	+	3.25735i	−0.0850452	+	0.147303i
$490$	−3.27839	+	1.66784i	−0.148103	+	0.0753452i
$491$	−15.6786	+	27.1561i	−0.707564	+	1.22554i	0.258194	+	0.966093i	$0.416873\pi$
$491$	−15.6786	+	27.1561i	−0.707564	+	1.22554i	−0.965758	+	0.259444i	$0.916461\pi$
$492$	2.67140	+	4.62700i	0.120436	+	0.208601i
$493$	−0.638718	−	1.10629i	−0.0287664	−	0.0498249i
$494$	−0.488345	+	0.398095i	−0.0219717	+	0.0179112i
$495$	−0.755606	−	0.436249i	−0.0339619	−	0.0196079i
$496$	−1.07882	+	1.86856i	−0.0484402	+	0.0839009i
$497$	7.28847	+	7.68527i	0.326933	+	0.344731i
$498$	−2.13755	−	3.70235i	−0.0957861	−	0.165906i
$499$	−3.70699	−	6.42069i	−0.165948	−	0.287430i	0.771044	−	0.636782i	$-0.219735\pi$
$499$	−3.70699	−	6.42069i	−0.165948	−	0.287430i	−0.936991	+	0.349352i	$0.886402\pi$
$500$	4.42501	+	2.55478i	0.197892	+	0.114253i
$501$	2.95754	+	5.12261i	0.132133	+	0.228861i
$502$	9.86873	−	17.0931i	0.440463	−	0.762904i
$503$	−10.0812	+	5.82041i	−0.449500	+	0.259519i	−0.707619	−	0.706594i	$-0.750231\pi$
$503$	−10.0812	+	5.82041i	−0.449500	+	0.259519i	0.258119	+	0.966113i	$0.416897\pi$
$504$	0.752229	−	2.53656i	0.0335069	−	0.112987i
$505$	−2.95910			−0.131678
$506$	8.29518	+	4.78922i	0.368766	+	0.212907i
$507$	−6.48955	+	11.2402i	−0.288211	+	0.499196i
$508$			4.39135i			0.194835i
$509$	9.09047			0.402928			0.201464	−	0.979496i	$-0.435430\pi$
$509$	9.09047			0.402928			0.201464	+	0.979496i	$0.435430\pi$
$510$	0.748151	+	0.431945i	0.0331287	+	0.0191268i
$511$	11.2372	−	37.8925i	0.497104	−	1.67627i
$512$		−	1.00000i		−	0.0441942i
$513$	1.54882	−	4.07445i	0.0683822	−	0.179891i
$514$	8.16459	−	4.71383i	0.360125	−	0.207918i
$515$			7.45355i			0.328443i
$516$	−5.87378	−	10.1737i	−0.258579	−	0.447872i
$517$	12.7209	−	7.34439i	0.559463	−	0.323006i
$518$	9.26645	+	2.74801i	0.407145	+	0.120741i
$519$	−7.92172	−	13.7208i	−0.347725	−	0.602277i
$520$	0.0379761	−	0.0657766i	0.00166536	−	0.00288449i
$521$	−0.564339	−	0.977463i	−0.0247241	−	0.0428235i	0.853399	−	0.521259i	$-0.174537\pi$
$521$	−0.564339	−	0.977463i	−0.0247241	−	0.0428235i	−0.878123	+	0.478435i	$0.841204\pi$
$522$	0.388503	−	0.672907i	0.0170043	−	0.0294523i
$523$	−38.1563			−1.66846			−0.834228	−	0.551419i	$-0.814087\pi$
$523$	−38.1563			−1.66846			−0.834228	+	0.551419i	$0.814087\pi$
$524$		−	4.42530i		−	0.193320i
$525$	−9.06859	+	8.60037i	−0.395786	+	0.375351i
$526$	11.8774	−	6.85743i	0.517880	−	0.298998i
$527$	3.07201	−	1.77363i	0.133819	−	0.0772603i
$528$	0.830215	−	1.43798i	0.0361305	−	0.0625798i
$529$	10.2774			0.446841
$530$	−5.61806	+	3.24359i	−0.244033	+	0.140892i
$531$	−8.95017			−0.388404
$532$	−4.44468	−	10.6417i	−0.192701	−	0.461374i
$533$	−0.772265			−0.0334505
$534$	−4.66303	+	2.69220i	−0.201789	+	0.116503i
$535$	7.94516			0.343499
$536$	6.31202	−	10.9327i	0.272638	−	0.472223i
$537$	−11.1306	+	6.42628i	−0.480323	+	0.277314i
$538$	21.4219	−	12.3679i	0.923562	−	0.533219i
$539$	0.615577	−	11.6067i	0.0265148	−	0.499936i
$540$			0.525465i			0.0226124i
$541$	−15.1755			−0.652445			−0.326223	−	0.945293i	$-0.605776\pi$
$541$	−15.1755			−0.652445			−0.326223	+	0.945293i	$0.605776\pi$
$542$	9.54553	−	16.5334i	0.410016	−	0.710168i
$543$	8.17492	+	14.1594i	0.350820	+	0.607637i
$544$	−0.822024	+	1.42379i	−0.0352440	+	0.0610444i
$545$	−0.914644	−	1.58421i	−0.0391790	−	0.0678601i
$546$	0.263157	+	0.277484i	0.0112621	+	0.0118752i
$547$	−13.7613	+	7.94507i	−0.588390	+	0.339707i	−0.764460	−	0.644671i	$-0.776995\pi$
$547$	−13.7613	+	7.94507i	−0.588390	+	0.339707i	0.176071	+	0.984377i	$0.443661\pi$
$548$	−9.23568	−	15.9967i	−0.394529	−	0.683344i
$549$			11.3330i			0.483680i
$550$	−6.79283	+	3.92184i	−0.289647	+	0.167228i
$551$	−0.540724	−	3.34345i	−0.0230356	−	0.142436i
$552$		−	5.76865i		−	0.245530i
$553$	6.77947	−	1.62536i	0.288292	−	0.0691173i
$554$	−11.8173	−	6.82271i	−0.502068	−	0.289869i
$555$	−1.91960			−0.0814827
$556$		−	13.2321i		−	0.561166i
$557$	20.1781	−	34.9496i	0.854975	−	1.48086i	−0.0216928	−	0.999765i	$-0.506906\pi$
$557$	20.1781	−	34.9496i	0.854975	−	1.48086i	0.876668	−	0.481096i	$-0.159761\pi$
$558$	1.86856	+	1.07882i	0.0791026	+	0.0456699i
$559$	1.69803			0.0718189
$560$	0.956669	+	1.00875i	0.0404266	+	0.0426275i
$561$	−2.36410	+	1.36491i	−0.0998124	+	0.0576267i
$562$	−9.88970	+	17.1295i	−0.417172	+	0.722563i
$563$	−7.26728	−	12.5873i	−0.306279	−	0.530491i	0.671266	−	0.741217i	$-0.265751\pi$
$563$	−7.26728	−	12.5873i	−0.306279	−	0.530491i	−0.977545	+	0.210725i	$0.932418\pi$
$564$	−7.66118	−	4.42318i	−0.322594	−	0.186250i
$565$	−1.18413	−	2.05097i	−0.0498166	−	0.0862848i
$566$	−0.255330	−	0.442244i	−0.0107323	−	0.0185889i
$567$	−2.53656	−	0.752229i	−0.106526	−	0.0315906i
$568$	2.00165	−	3.46696i	0.0839875	−	0.145471i
$569$	17.0319	+	9.83336i	0.714013	+	0.412236i	0.812545	−	0.582898i	$-0.198081\pi$
$569$	17.0319	+	9.83336i	0.714013	+	0.412236i	−0.0985320	+	0.995134i	$0.531415\pi$
$570$	1.44722	+	1.77531i	0.0606173	+	0.0743594i
$571$	17.3631	+	30.0737i	0.726622	+	1.25855i	0.958303	+	0.285754i	$0.0922441\pi$
$571$	17.3631	+	30.0737i	0.726622	+	1.25855i	−0.231681	+	0.972792i	$0.574423\pi$
$572$	0.120002	+	0.207849i	0.00501753	+	0.00869061i
$573$	−1.87640	+	3.25002i	−0.0783878	+	0.135772i
$574$	4.01901	−	13.5524i	0.167750	−	0.565664i
$575$	−13.6252	+	23.5996i	−0.568211	+	0.984171i
$576$	−1.00000			−0.0416667
$577$	11.7195	−	6.76625i	0.487889	−	0.281683i	−0.235809	−	0.971799i	$-0.575774\pi$
$577$	11.7195	−	6.76625i	0.487889	−	0.281683i	0.723698	+	0.690117i	$0.242441\pi$
$578$	−12.3817	+	7.14855i	−0.515009	+	0.297341i
$579$		−	4.61867i		−	0.191946i
$580$	0.204145	+	0.353589i	0.00847665	+	0.0146820i
$581$	−3.21586	+	10.8441i	−0.133416	+	0.449888i
$582$			10.2119i			0.423295i
$583$		−	20.4990i		−	0.848982i
$584$	−14.9385			−0.618160
$585$	−0.0657766	−	0.0379761i	−0.00271953	−	0.00157012i
$586$	27.2845	−	15.7527i	1.12711	−	0.650739i
$587$	13.0089	+	7.51069i	0.536935	+	0.309999i	0.743836	−	0.668363i	$-0.233005\pi$
$587$	13.0089	+	7.51069i	0.536935	+	0.309999i	−0.206901	+	0.978362i	$0.566338\pi$
$588$	−6.23904	+	3.17402i	−0.257294	+	0.130895i
$589$	9.28426	−	1.50151i	0.382551	−	0.0618686i
$590$	2.35150	−	4.07292i	0.0968097	−	0.167679i
$591$	17.2171			0.708218
$592$		−	3.65315i		−	0.150144i
$593$		−	20.2441i		−	0.831327i	−0.909518	−	0.415664i	$-0.863549\pi$
$593$		−	20.2441i		−	0.831327i	0.909518	−	0.415664i	$-0.136451\pi$
$594$	−1.43798	−	0.830215i	−0.0590008	−	0.0340641i
$595$	−0.532875	−	2.22265i	−0.0218457	−	0.0911199i
$596$	18.3248			0.750611
$597$	10.3446	+	5.97247i	0.423377	+	0.244437i
$598$	0.722108	+	0.416909i	0.0295292	+	0.0170487i
$599$	−7.05516	−	4.07330i	−0.288266	−	0.166430i	0.348894	−	0.937162i	$-0.386557\pi$
$599$	−7.05516	−	4.07330i	−0.288266	−	0.166430i	−0.637160	+	0.770732i	$0.719891\pi$
$600$	4.09101	+	2.36194i	0.167015	+	0.0964259i
$601$	17.3607			0.708159			0.354080	−	0.935215i	$-0.384794\pi$
$601$	17.3607			0.708159			0.354080	+	0.935215i	$0.384794\pi$
$602$	−8.83686	+	29.7984i	−0.360163	+	1.21449i
$603$	−10.9327	−	6.31202i	−0.445216	−	0.257045i
$604$		−	6.62658i		−	0.269632i
$605$		−	4.33139i		−	0.176096i
$606$	−5.63139			−0.228760
$607$	23.6308	−	40.9297i	0.959143	−	1.66129i	0.234556	−	0.972103i	$-0.424637\pi$
$607$	23.6308	−	40.9297i	0.959143	−	1.66129i	0.724588	−	0.689182i	$-0.242030\pi$
$608$	−3.37854	+	2.75417i	−0.137018	+	0.111696i
$609$	−1.99911	+	0.479282i	−0.0810082	+	0.0194215i
$610$	−5.15726	−	2.97755i	−0.208811	−	0.120557i
$611$	1.10737	−	0.639340i	0.0447994	−	0.0258649i
$612$	1.42379	+	0.822024i	0.0575532	+	0.0332284i
$613$	−28.8007			−1.16325			−0.581625	−	0.813457i	$-0.697583\pi$
$613$	−28.8007			−1.16325			−0.581625	+	0.813457i	$0.697583\pi$
$614$		−	20.9951i		−	0.847292i
$615$			2.80746i			0.113208i
$616$	−4.27203	+	1.02421i	−0.172125	+	0.0412665i
$617$	−11.0909	−	19.2100i	−0.446502	−	0.773364i	0.551653	−	0.834073i	$-0.313997\pi$
$617$	−11.0909	−	19.2100i	−0.446502	−	0.773364i	−0.998155	+	0.0607092i	$0.980664\pi$
$618$			14.1847i			0.570591i
$619$	−23.9162	+	13.8080i	−0.961274	+	0.554992i	−0.896565	−	0.442913i	$-0.853945\pi$
$619$	−23.9162	+	13.8080i	−0.961274	+	0.554992i	−0.0647088	+	0.997904i	$0.520612\pi$
$620$	−0.981864	+	0.566880i	−0.0394326	+	0.0227664i
$621$	−5.76865			−0.231488
$622$	−5.32928	+	9.23058i	−0.213685	+	0.370113i
$623$	13.6579	+	4.05031i	0.547192	+	0.162272i
$624$	0.0722715	−	0.125178i	0.00289317	−	0.00501113i
$625$	−10.4673	−	18.1298i	−0.418691	−	0.725194i
$626$	−1.47707	−	2.55835i	−0.0590355	−	0.102252i
$627$	−7.14482	+	1.15550i	−0.285336	+	0.0461464i
$628$	1.02890	+	0.594035i	0.0410576	+	0.0237046i
$629$	−3.00298	+	5.20132i	−0.119737	+	0.207390i
$630$	1.00875	−	0.956669i	0.0401896	−	0.0381146i
$631$	7.01521	+	12.1507i	0.279271	+	0.483712i	0.971204	−	0.238250i	$-0.0765739\pi$
$631$	7.01521	+	12.1507i	0.279271	+	0.483712i	−0.691933	+	0.721962i	$0.743241\pi$
$632$	−1.31751	−	2.28199i	−0.0524075	−	0.0907725i
$633$	11.8164	+	6.82218i	0.469658	+	0.271157i
$634$	8.34202	+	14.4488i	0.331304	+	0.573836i
$635$	−1.15375	+	1.99835i	−0.0457852	+	0.0793022i
$636$	−10.6916	+	6.17280i	−0.423949	+	0.244767i
$637$	0.0535869	−	1.01038i	0.00212319	−	0.0400327i
$638$	−1.29017			−0.0510781
$639$	−3.46696	−	2.00165i	−0.137151	−	0.0791842i
$640$	0.262732	−	0.455066i	0.0103854	−	0.0179881i
$641$		−	49.3199i		−	1.94802i	−0.226507	−	0.974010i	$-0.572731\pi$
$641$		−	49.3199i		−	1.94802i	0.226507	−	0.974010i	$-0.427269\pi$
$642$	15.1203			0.596749
$643$	15.1793	+	8.76379i	0.598615	+	0.345610i	0.768496	−	0.639854i	$-0.221005\pi$
$643$	15.1793	+	8.76379i	0.598615	+	0.345610i	−0.169882	+	0.985464i	$0.554339\pi$
$644$	−11.0743	+	10.5025i	−0.436387	+	0.413856i
$645$		−	6.17293i		−	0.243059i
$646$	7.07432	−	1.14410i	0.278336	−	0.0450142i
$647$	−23.4020	+	13.5111i	−0.920027	+	0.531178i	−0.883644	−	0.468160i	$-0.844917\pi$
$647$	−23.4020	+	13.5111i	−0.920027	+	0.531178i	−0.0363835	+	0.999338i	$0.511584\pi$
$648$			1.00000i			0.0392837i
$649$	7.43057	+	12.8701i	0.291675	+	0.505196i
$650$	−0.591326	+	0.341402i	−0.0231937	+	0.0133909i
$651$	−1.33090	−	5.55124i	−0.0521619	−	0.217570i
$652$	−1.88063	−	3.25735i	−0.0736513	−	0.127568i
$653$	−3.96750	+	6.87192i	−0.155260	+	0.268919i	−0.933154	−	0.359477i	$-0.882955\pi$
$653$	−3.96750	+	6.87192i	−0.155260	+	0.268919i	0.777893	+	0.628396i	$0.216288\pi$
$654$	−1.74064	−	3.01487i	−0.0680643	−	0.117891i
$655$	1.16267	−	2.01380i	0.0454292	−	0.0786857i
$656$	−5.34280			−0.208601
$657$			14.9385i			0.582807i
$658$	5.45672	+	22.7603i	0.212725	+	0.887289i
$659$	22.6120	−	13.0550i	0.880838	−	0.508552i	0.00990329	−	0.999951i	$-0.496848\pi$
$659$	22.6120	−	13.0550i	0.880838	−	0.508552i	0.870935	+	0.491399i	$0.163514\pi$
$660$	0.755606	−	0.436249i	0.0294119	−	0.0169810i
$661$	−0.875008	+	1.51556i	−0.0340339	+	0.0589484i	−0.882541	−	0.470236i	$-0.844169\pi$
$661$	−0.875008	+	1.51556i	−0.0340339	+	0.0589484i	0.848507	+	0.529185i	$0.177502\pi$
$662$	13.9018			0.540309
$663$	−0.205799	+	0.118818i	−0.00799255	+	0.00461450i
$664$	4.27511			0.165906
$665$	0.773286	−	6.01042i	0.0299867	−	0.233074i
$666$	−3.65315			−0.141557
$667$	−3.88177	+	2.24114i	−0.150303	+	0.0867773i
$668$	−5.91508			−0.228861
$669$	−5.28531	+	9.15442i	−0.204342	+	0.353930i
$670$	5.74477	−	3.31675i	0.221940	−	0.128137i
$671$	16.2966	−	9.40883i	0.629122	−	0.363224i
$672$	1.82061	+	1.91973i	0.0702317	+	0.0740552i
$673$			31.9763i			1.23259i	0.787514	+	0.616297i	$0.211368\pi$
$673$			31.9763i			1.23259i	−0.787514	+	0.616297i	$0.788632\pi$
$674$	−5.45008			−0.209929
$675$	2.36194	−	4.09101i	0.0909112	−	0.157463i
$676$	−6.48955	−	11.2402i	−0.249598	−	0.432317i
$677$	−9.81823	+	17.0057i	−0.377345	+	0.653581i	−0.990675	−	0.136246i	$-0.956496\pi$
$677$	−9.81823	+	17.0057i	−0.377345	+	0.653581i	0.613330	+	0.789827i	$0.289830\pi$
$678$	−2.25348	−	3.90315i	−0.0865445	−	0.149899i
$679$	19.6040	−	18.5918i	0.752333	−	0.713489i
$680$	−0.748151	+	0.431945i	−0.0286903	+	0.0165643i
$681$	−3.04992	−	5.28261i	−0.116873	−	0.202430i
$682$		−	3.58260i		−	0.137185i
$683$	19.9393	−	11.5119i	0.762954	−	0.440492i	−0.0674010	−	0.997726i	$-0.521471\pi$
$683$	19.9393	−	11.5119i	0.762954	−	0.440492i	0.830356	+	0.557234i	$0.188137\pi$
$684$	2.75417	+	3.37854i	0.105308	+	0.129182i
$685$		−	9.70605i		−	0.370849i
$686$	17.4521	+	6.19860i	0.666326	+	0.236664i
$687$	1.03790	+	0.599235i	0.0395985	+	0.0228622i
$688$	11.7476			0.447872
$689$		−	1.78447i		−	0.0679828i
$690$	1.51561	−	2.62512i	0.0576984	−	0.0999365i
$691$	−6.81463	−	3.93443i	−0.259241	−	0.149673i	0.364747	−	0.931107i	$-0.381155\pi$
$691$	−6.81463	−	3.93443i	−0.259241	−	0.149673i	−0.623988	+	0.781434i	$0.714489\pi$
$692$	15.8434			0.602277
$693$	1.02421	+	4.27203i	0.0389064	+	0.162281i
$694$	−9.29067	+	5.36397i	−0.352669	+	0.203614i
$695$	3.47650	−	6.02148i	0.131871	−	0.228408i
$696$	0.388503	+	0.672907i	0.0147262	+	0.0255065i
$697$	7.60702	+	4.39192i	0.288136	+	0.166356i
$698$	−17.6960	−	30.6503i	−0.669802	−	1.16013i
$699$	−10.0645	−	17.4323i	−0.380676	−	0.659350i
$700$	−2.91384	−	12.1538i	−0.110133	−	0.459371i
$701$	14.5968	−	25.2823i	0.551312	−	0.954901i	−0.446868	−	0.894600i	$-0.647461\pi$
$701$	14.5968	−	25.2823i	0.551312	−	0.954901i	0.998180	−	0.0603009i	$-0.0192060\pi$
$702$	−0.125178	−	0.0722715i	−0.00472453	−	0.00272771i
$703$	−12.3423	+	10.0614i	−0.465500	+	0.379473i
$704$	0.830215	+	1.43798i	0.0312899	+	0.0541957i
$705$	−2.32423	−	4.02568i	−0.0875355	−	0.151616i
$706$	−4.41286	+	7.64329i	−0.166080	+	0.287659i
$707$	10.2526	+	10.8108i	0.385588	+	0.406580i
$708$	4.47508	−	7.75107i	0.168184	−	0.291303i
$709$	−11.6953			−0.439227			−0.219613	−	0.975587i	$-0.570480\pi$
$709$	−11.6953			−0.439227			−0.219613	+	0.975587i	$0.570480\pi$
$710$	1.82177	−	1.05180i	0.0683697	−	0.0394733i
$711$	−2.28199	+	1.31751i	−0.0855812	+	0.0494103i
$712$		−	5.38441i		−	0.201789i
$713$	−6.22331	−	10.7791i	−0.233065	−	0.403680i
$714$	−1.01410	−	4.22988i	−0.0379518	−	0.158299i
$715$			0.126113i			0.00471638i
$716$		−	12.8526i		−	0.480323i
$717$	−9.88704			−0.369238
$718$	−12.2742	−	7.08650i	−0.458068	−	0.264466i
$719$	6.81890	−	3.93690i	0.254302	−	0.146821i	−0.367430	−	0.930051i	$-0.619762\pi$
$719$	6.81890	−	3.93690i	0.254302	−	0.146821i	0.621733	+	0.783230i	$0.286429\pi$
$720$	−0.455066	−	0.262732i	−0.0169593	−	0.00979146i
$721$	27.2307	−	25.8248i	1.01413	−	0.961766i
$722$	18.6102	+	3.82913i	0.692598	+	0.142505i
$723$	−7.53452	+	13.0502i	−0.280212	+	0.485341i
$724$	−16.3498			−0.607637
$725$		−	3.67049i		−	0.136319i
$726$		−	8.24297i		−	0.305925i
$727$	26.2214	+	15.1389i	0.972498	+	0.561472i	0.899997	−	0.435896i	$-0.143569\pi$
$727$	26.2214	+	15.1389i	0.972498	+	0.561472i	0.0725012	+	0.997368i	$0.476902\pi$
$728$	−0.371886	+	0.0891587i	−0.0137830	+	0.00330444i
$729$	1.00000			0.0370370
$730$	−6.79801	−	3.92483i	−0.251606	−	0.145265i
$731$	−16.7260	−	9.65678i	−0.618635	−	0.357169i
$732$	−9.81466	−	5.66650i	−0.362760	−	0.209440i
$733$	−21.9509	−	12.6734i	−0.810777	−	0.468102i	0.0364488	−	0.999336i	$-0.488395\pi$
$733$	−21.9509	−	12.6734i	−0.810777	−	0.468102i	−0.847226	+	0.531233i	$0.821729\pi$
$734$	1.34831			0.0497671
$735$	−3.67309	−	0.194807i	−0.135484	−	0.00718558i
$736$	4.99580	+	2.88433i	0.184148	+	0.106318i
$737$			20.9614i			0.772121i
$738$			5.34280i			0.196671i
$739$	7.91766			0.291256			0.145628	−	0.989339i	$-0.453480\pi$
$739$	7.91766			0.291256			0.145628	+	0.989339i	$0.453480\pi$
$740$	0.959802	−	1.66243i	0.0352830	−	0.0611120i
$741$	−0.621967	+	0.100588i	−0.0228485	+	0.00369521i
$742$	31.3154	+	9.28671i	1.14962	+	0.340926i
$743$	23.5857	+	13.6172i	0.865275	+	0.499567i	0.865775	−	0.500433i	$-0.166826\pi$
$743$	23.5857	+	13.6172i	0.865275	+	0.499567i	−0.000500422		1.00000i	$0.500159\pi$
$744$	−1.86856	+	1.07882i	−0.0685048	+	0.0395513i
$745$	8.33897	+	4.81451i	0.305516	+	0.176390i
$746$	35.4359			1.29740
$747$		−	4.27511i		−	0.156418i
$748$		−	2.72983i		−	0.0998124i
$749$	−27.5281	−	29.0268i	−1.00586	−	1.06062i
$750$	2.55478	+	4.42501i	0.0932874	+	0.161579i
$751$		−	40.6198i		−	1.48224i	−0.671374	−	0.741118i	$-0.734296\pi$
$751$		−	40.6198i		−	1.48224i	0.671374	−	0.741118i	$-0.265704\pi$
$752$	7.66118	−	4.42318i	0.279374	−	0.161297i
$753$	17.0931	−	9.86873i	0.622909	−	0.359636i
$754$	−0.112311			−0.00409012
$755$	1.74102	−	3.01553i	0.0633621	−	0.109746i
$756$	1.91973	−	1.82061i	0.0698199	−	0.0662151i
$757$	−2.41388	+	4.18096i	−0.0877340	+	0.151960i	−0.906553	−	0.422092i	$-0.861296\pi$
$757$	−2.41388	+	4.18096i	−0.0877340	+	0.151960i	0.818819	+	0.574052i	$0.194629\pi$
$758$	3.62116	+	6.27203i	0.131526	+	0.227810i
$759$	4.78922	+	8.29518i	0.173838	+	0.301096i
$760$	−2.26107	+	0.365674i	−0.0820176	+	0.0132644i
$761$	−20.0208	−	11.5590i	−0.725755	−	0.419015i	0.0911122	−	0.995841i	$-0.470958\pi$
$761$	−20.0208	−	11.5590i	−0.725755	−	0.419015i	−0.816867	+	0.576826i	$0.804291\pi$
$762$	−2.19567	+	3.80302i	−0.0795409	+	0.137769i
$763$	−2.61872	+	8.83047i	−0.0948039	+	0.319684i
$764$	−1.87640	−	3.25002i	−0.0678858	−	0.117582i
$765$	0.431945	+	0.748151i	0.0156170	+	0.0270494i
$766$	−1.39146	−	0.803362i	−0.0502757	−	0.0290267i
$767$	0.646842	+	1.12036i	0.0233561	+	0.0404540i
$768$	0.500000	−	0.866025i	0.0180422	−	0.0312500i
$769$	−16.4086	+	9.47351i	−0.591709	+	0.341624i	−0.765773	−	0.643111i	$-0.777643\pi$
$769$	−16.4086	+	9.47351i	−0.591709	+	0.341624i	0.174064	+	0.984734i	$0.444310\pi$
$770$	−2.21315	−	0.656318i	−0.0797563	−	0.0236521i
$771$	9.42766			0.339529
$772$	3.99989	+	2.30934i	0.143959	+	0.0831149i
$773$	−3.69252	+	6.39563i	−0.132811	+	0.230035i	−0.924759	−	0.380553i	$-0.875734\pi$
$773$	−3.69252	+	6.39563i	−0.132811	+	0.230035i	0.791948	+	0.610588i	$0.209067\pi$
$774$		−	11.7476i		−	0.422257i
$775$	10.1924			0.366122
$776$	−8.84372	−	5.10593i	−0.317471	−	0.183292i
$777$	6.65098	+	7.01307i	0.238603	+	0.251593i
$778$		−	28.0380i		−	1.00521i
$779$	14.7150	+	18.0509i	0.527219	+	0.646741i
$780$	0.0657766	−	0.0379761i	0.00235518	−	0.00135976i
$781$			6.64721i			0.237856i
$782$	−4.74197	−	8.21334i	−0.169573	−	0.293708i
$783$	0.672907	−	0.388503i	0.0240477	−	0.0138840i
$784$	0.370733	−	6.99018i	0.0132405	−	0.249649i
$785$	0.312145	+	0.540651i	0.0111409	+	0.0192966i
$786$	2.21265	−	3.83242i	0.0789225	−	0.136698i
$787$	−1.47429	−	2.55354i	−0.0525526	−	0.0910238i	0.838552	−	0.544821i	$-0.183402\pi$
$787$	−1.47429	−	2.55354i	−0.0525526	−	0.0910238i	−0.891105	+	0.453797i	$0.850069\pi$
$788$	−8.60856	+	14.9105i	−0.306667	+	0.531163i
$789$	13.7149			0.488262
$790$		−	1.38461i		−	0.0492621i
$791$	−3.39027	+	11.4322i	−0.120544	+	0.406482i
$792$	1.43798	−	0.830215i	0.0510962	−	0.0295004i
$793$	1.41864	−	0.819052i	0.0503774	−	0.0290854i
$794$	−3.14493	+	5.44719i	−0.111610	+	0.193313i
$795$	−6.48718			−0.230076
$796$	−10.3446	+	5.97247i	−0.366655	+	0.211689i
$797$	−0.819831			−0.0290399			−0.0145200	−	0.999895i	$-0.504622\pi$
$797$	−0.819831			−0.0290399			−0.0145200	+	0.999895i	$0.504622\pi$
$798$	1.47162	−	11.4383i	0.0520949	−	0.404911i
$799$	−14.5439			−0.514525
$800$	−4.09101	+	2.36194i	−0.144639	+	0.0835073i
$801$	−5.38441			−0.190249
$802$	8.19310	−	14.1909i	0.289309	−	0.501097i
$803$	21.4812	−	12.4022i	0.758056	−	0.437664i
$804$	10.9327	−	6.31202i	0.385568	−	0.222608i
$805$	−7.79886	+	1.86976i	−0.274874	+	0.0659003i
$806$		−	0.311870i		−	0.0109852i
$807$	24.7358			0.870742
$808$	2.81569	−	4.87693i	0.0990558	−	0.171570i
$809$	3.60007	+	6.23551i	0.126572	+	0.219229i	0.922346	−	0.386364i	$-0.126269\pi$
$809$	3.60007	+	6.23551i	0.126572	+	0.219229i	−0.795774	+	0.605593i	$0.792936\pi$
$810$	−0.262732	+	0.455066i	−0.00923148	+	0.0159894i
$811$	−1.09213	−	1.89163i	−0.0383500	−	0.0664241i	0.846213	−	0.532844i	$-0.178877\pi$
$811$	−1.09213	−	1.89163i	−0.0383500	−	0.0664241i	−0.884563	+	0.466420i	$0.845544\pi$
$812$	0.584487	−	1.97093i	0.0205115	−	0.0691659i
$813$	16.5334	−	9.54553i	0.579850	−	0.334777i
$814$	3.03290	+	5.25314i	0.106303	+	0.184123i
$815$		−	1.97642i		−	0.0692308i
$816$	−1.42379	+	0.822024i	−0.0498426	+	0.0287766i
$817$	−32.3547	−	39.6897i	−1.13195	−	1.38857i
$818$			21.3886i			0.747834i
$819$	0.0891587	+	0.371886i	0.00311546	+	0.0129948i
$820$	−2.43133	−	1.40373i	−0.0849057	−	0.0490203i
$821$	5.95670			0.207890			0.103945	−	0.994583i	$-0.466853\pi$
$821$	5.95670			0.207890			0.103945	+	0.994583i	$0.466853\pi$
$822$		−	18.4714i		−	0.644263i
$823$	11.7410	−	20.3361i	0.409266	−	0.708870i	−0.585541	−	0.810643i	$-0.699118\pi$
$823$	11.7410	−	20.3361i	0.409266	−	0.708870i	0.994808	+	0.101772i	$0.0324513\pi$
$824$	−12.2843	−	7.09233i	−0.427943	−	0.247073i
$825$	−7.84369			−0.273082
$826$	−23.0274	+	5.52075i	−0.801225	+	0.192091i
$827$	−4.13018	+	2.38456i	−0.143620	+	0.0829192i	−0.570088	−	0.821583i	$-0.693091\pi$
$827$	−4.13018	+	2.38456i	−0.143620	+	0.0829192i	0.426468	+	0.904503i	$0.359758\pi$
$828$	2.88433	−	4.99580i	0.100237	−	0.173616i
$829$	−5.76661	−	9.98807i	−0.200283	−	0.346900i	0.748337	−	0.663319i	$-0.230853\pi$
$829$	−5.76661	−	9.98807i	−0.200283	−	0.346900i	−0.948619	+	0.316419i	$0.897519\pi$
$830$	1.94546	+	1.12321i	0.0675278	+	0.0389872i
$831$	−6.82271	−	11.8173i	−0.236677	−	0.409937i
$832$	0.0722715	+	0.125178i	0.00250556	+	0.00433976i
$833$	−6.27394	+	9.64778i	−0.217379	+	0.334276i
$834$	6.61605	−	11.4593i	0.229095	−	0.396804i
$835$	−2.69175	−	1.55408i	−0.0931520	−	0.0537813i
$836$	2.57171	−	6.76534i	0.0889445	−	0.233984i
$837$	1.07882	+	1.86856i	0.0372893	+	0.0645870i
$838$	−7.93601	−	13.7456i	−0.274145	−	0.474833i
$839$	14.2998	−	24.7680i	0.493684	−	0.855085i	−0.506290	−	0.862363i	$-0.668983\pi$
$839$	14.2998	−	24.7680i	0.493684	−	0.855085i	0.999974	+	0.00727800i	$0.00231668\pi$
$840$	0.324124	+	1.35194i	0.0111833	+	0.0466463i
$841$	−14.1981	+	24.5919i	−0.489591	+	0.847996i
$842$	−28.2742			−0.974392
$843$	−17.1295	+	9.88970i	−0.589970	+	0.340619i
$844$	−11.8164	+	6.82218i	−0.406736	+	0.234829i
$845$		−	6.82007i		−	0.234617i
$846$	−4.42318	−	7.66118i	−0.152072	−	0.263397i
$847$	−15.8243	+	15.0073i	−0.543729	+	0.515656i
$848$		−	12.3456i		−	0.423949i
$849$		−	0.510659i		−	0.0175258i
$850$	7.76630			0.266382
$851$	18.2504	+	10.5369i	0.625616	+	0.361200i
$852$	3.46696	−	2.00165i	0.118776	−	0.0685755i
$853$	44.5064	+	25.6958i	1.52387	+	0.879806i	0.999601	+	0.0282530i	$0.00899442\pi$
$853$	44.5064	+	25.6958i	1.52387	+	0.879806i	0.524268	+	0.851553i	$0.324339\pi$
$854$	6.99055	+	29.1580i	0.239212	+	0.997766i
$855$	0.365674	+	2.26107i	0.0125058	+	0.0773270i
$856$	−7.56013	+	13.0945i	−0.258400	+	0.447562i
$857$	18.7524			0.640569			0.320285	−	0.947321i	$-0.396221\pi$
$857$	18.7524			0.640569			0.320285	+	0.947321i	$0.396221\pi$
$858$			0.240004i			0.00819359i
$859$		−	19.9498i		−	0.680679i	−0.940303	−	0.340340i	$-0.889458\pi$
$859$		−	19.9498i		−	0.680679i	0.940303	−	0.340340i	$-0.110542\pi$
$860$	5.34592	+	3.08647i	0.182294	+	0.105248i
$861$	10.2567	−	9.72718i	0.349549	−	0.331501i
$862$	11.5505			0.393410
$863$	−10.0139	−	5.78155i	−0.340879	−	0.196806i	0.319782	−	0.947491i	$-0.396390\pi$
$863$	−10.0139	−	5.78155i	−0.340879	−	0.196806i	−0.660661	+	0.750685i	$0.729724\pi$
$864$	−0.866025	−	0.500000i	−0.0294628	−	0.0170103i
$865$	7.20981	+	4.16259i	0.245141	+	0.141532i
$866$	8.40817	+	4.85446i	0.285721	+	0.164961i
$867$	−14.2971			−0.485555
$868$	5.47297	+	1.62303i	0.185765	+	0.0550893i
$869$	3.78908	+	2.18763i	0.128536	+	0.0742101i
$870$			0.408290i			0.0138423i
$871$			1.82472i			0.0618282i
$872$	3.48127			0.117891
$873$	−5.10593	+	8.84372i	−0.172809	+	0.299315i
$874$	−4.01444	−	24.8224i	−0.135791	−	0.839632i
$875$	3.84356	−	12.9607i	0.129936	−	0.438152i
$876$	−12.9371	−	7.46926i	−0.437105	−	0.252363i
$877$	−11.2711	+	6.50738i	−0.380599	+	0.219739i	−0.678079	−	0.734989i	$-0.737187\pi$
$877$	−11.2711	+	6.50738i	−0.380599	+	0.219739i	0.297480	+	0.954728i	$0.403854\pi$
$878$	−25.1771	−	14.5360i	−0.849685	−	0.490566i
$879$	31.5054			1.06265
$880$			0.872498i			0.0294119i
$881$		−	42.4077i		−	1.42875i	−0.699762	−	0.714376i	$-0.746710\pi$
$881$		−	42.4077i		−	1.42875i	0.699762	−	0.714376i	$-0.253290\pi$
$882$	−6.99018	−	0.370733i	−0.235371	−	0.0124832i
$883$	24.5474	+	42.5174i	0.826086	+	1.43082i	0.901086	+	0.433640i	$0.142771\pi$
$883$	24.5474	+	42.5174i	0.826086	+	1.43082i	−0.0749999	+	0.997184i	$0.523896\pi$
$884$		−	0.237636i		−	0.00799255i
$885$	4.07292	−	2.35150i	0.136910	−	0.0790448i
$886$	−9.39535	+	5.42441i	−0.315643	+	0.182236i
$887$	5.08982			0.170899			0.0854497	−	0.996342i	$-0.472767\pi$
$887$	5.08982			0.170899			0.0854497	+	0.996342i	$0.472767\pi$
$888$	1.82658	−	3.16372i	0.0612959	−	0.106168i
$889$	11.2982	−	2.70872i	0.378931	−	0.0908477i
$890$	1.41466	−	2.45026i	0.0474194	−	0.0821329i
$891$	−0.830215	−	1.43798i	−0.0278133	−	0.0481740i
$892$	−5.28531	−	9.15442i	−0.176965	−	0.306513i
$893$	−36.0441	−	13.7014i	−1.20617	−	0.458501i
$894$	15.8697	+	9.16238i	0.530762	+	0.306436i
$895$	3.37678	−	5.84876i	0.112873	−	0.195503i
$896$	−2.57284	+	0.616832i	−0.0859526	+	0.0206069i
$897$	0.416909	+	0.722108i	0.0139202	+	0.0241105i
$898$	−14.7310	−	25.5149i	−0.491581	−	0.851442i
$899$	1.45188	+	0.838246i	0.0484231	+	0.0279571i
$900$	2.36194	+	4.09101i	0.0787314	+	0.136367i
$901$	−10.1484	+	17.5775i	−0.338091	+	0.585592i
$902$	7.68282	−	4.43568i	0.255810	−	0.147692i
$903$	−22.5522	+	21.3878i	−0.750489	+	0.711740i
$904$	4.50696			0.149899
$905$	−7.44026	−	4.29564i	−0.247323	−	0.142792i
$906$	3.31329	−	5.73878i	0.110077	−	0.190658i
$907$			47.4366i			1.57511i	0.616248	+	0.787553i	$0.288652\pi$
$907$			47.4366i			1.57511i	−0.616248	+	0.787553i	$0.711348\pi$
$908$	6.09983			0.202430
$909$	−4.87693	−	2.81569i	−0.161757	−	0.0933907i
$910$	−0.192658	−	0.0571335i	−0.00638654	−	0.00189396i
$911$		−	27.0443i		−	0.896019i	−0.894029	−	0.448010i	$-0.852133\pi$
$911$		−	27.0443i		−	0.896019i	0.894029	−	0.448010i	$-0.147867\pi$
$912$	−4.30299	+	0.695906i	−0.142486	+	0.0230438i
$913$	−6.14750	+	3.54926i	−0.203452	+	0.117463i
$914$		−	7.96073i		−	0.263318i
$915$	−2.97755	−	5.15726i	−0.0984346	−	0.170494i
$916$	−1.03790	+	0.599235i	−0.0342933	+	0.0197993i
$917$	−11.3856	+	2.72966i	−0.375985	+	0.0901414i
$918$	0.822024	+	1.42379i	0.0271309	+	0.0469920i
$919$	−18.7681	+	32.5072i	−0.619101	+	1.07231i	0.370549	+	0.928813i	$0.379169\pi$
$919$	−18.7681	+	32.5072i	−0.619101	+	1.07231i	−0.989650	+	0.143501i	$0.954164\pi$
$920$	1.51561	+	2.62512i	0.0499683	+	0.0865476i
$921$	10.4975	−	18.1823i	0.345905	−	0.599126i
$922$	35.6156			1.17294
$923$			0.578650i			0.0190465i
$924$	−4.21179	−	1.24902i	−0.138558	−	0.0410899i
$925$	−14.9451	+	8.62854i	−0.491391	+	0.283705i
$926$	2.48964	−	1.43740i	0.0818148	−	0.0472358i
$927$	−7.09233	+	12.2843i	−0.232943	+	0.403469i
$928$	−0.777006			−0.0255065
$929$	34.0297	−	19.6471i	1.11648	−	0.644599i	0.175979	−	0.984394i	$-0.443691\pi$
$929$	34.0297	−	19.6471i	1.11648	−	0.644599i	0.940500	+	0.339795i	$0.110358\pi$
$930$	−1.13376			−0.0371774
$931$	−24.6377	+	17.9996i	−0.807467	+	0.589912i
$932$	20.1291			0.659350
$933$	−9.23058	+	5.32928i	−0.302196	+	0.174473i
$934$	−20.9391			−0.685147
$935$	0.717215	−	1.24225i	0.0234554	−	0.0406260i
$936$	0.125178	−	0.0722715i	0.00409157	−	0.00236227i
$937$	30.5846	−	17.6580i	0.999155	−	0.576862i	0.0911568	−	0.995837i	$-0.470944\pi$
$937$	30.5846	−	17.6580i	0.999155	−	0.576862i	0.907998	+	0.418974i	$0.137610\pi$
$938$	−32.0217	−	9.49617i	−1.04554	−	0.310061i
$939$		−	2.95413i		−	0.0964045i
$940$	4.64846			0.151616
$941$	−27.8222	+	48.1894i	−0.906976	+	1.57093i	−0.0887345	+	0.996055i	$0.528282\pi$
$941$	−27.8222	+	48.1894i	−0.906976	+	1.57093i	−0.818242	+	0.574874i	$0.805051\pi$
$942$	0.594035	+	1.02890i	0.0193547	+	0.0335234i
$943$	15.4104	−	26.6916i	0.501831	−	0.869197i
$944$	4.47508	+	7.75107i	0.145652	+	0.252276i
$945$	1.35194	−	0.324124i	0.0439786	−	0.0105437i
$946$	−16.8927	+	9.75301i	−0.549229	+	0.317098i
$947$	−15.1455	−	26.2328i	−0.492164	−	0.852453i	0.507795	−	0.861478i	$-0.330461\pi$
$947$	−15.1455	−	26.2328i	−0.492164	−	0.852453i	−0.999959	+	0.00902497i	$0.997127\pi$
$948$		−	2.63501i		−	0.0855812i
$949$	1.86997	−	1.07963i	0.0607019	−	0.0350462i
$950$	19.2472	+	7.31646i	0.624463	+	0.237377i
$951$			16.6840i			0.541017i
$952$	4.17023	+	1.23670i	0.135158	+	0.0400817i
$953$	9.34920	+	5.39776i	0.302850	+	0.174851i	0.643723	−	0.765259i	$-0.277389\pi$
$953$	9.34920	+	5.39776i	0.302850	+	0.174851i	−0.340872	+	0.940110i	$0.610722\pi$
$954$	−12.3456			−0.399703
$955$		−	1.97197i		−	0.0638113i
$956$	4.94352	−	8.56243i	0.159885	−	0.276929i
$957$	−1.11732	−	0.645083i	−0.0361177	−	0.0208526i
$958$	−21.0005			−0.678494
$959$	−35.4600	+	33.6292i	−1.14506	+	1.08594i
$960$	0.455066	−	0.262732i	0.0146872	−	0.00847965i
$961$	13.1723	−	22.8151i	0.424913	−	0.735972i
$962$	0.264019	+	0.457294i	0.00851231	+	0.0147437i
$963$	13.0945	+	7.56013i	0.421965	+	0.243622i
$964$	−7.53452	−	13.0502i	−0.242671	−	0.420318i
$965$	1.21348	+	2.10180i	0.0390632	+	0.0676594i
$966$	−14.8418	+	3.55829i	−0.477528	+	0.114486i
$967$	−16.4547	+	28.5004i	−0.529147	+	0.916510i	0.470275	+	0.882520i	$0.344155\pi$
$967$	−16.4547	+	28.5004i	−0.529147	+	0.916510i	−0.999422	+	0.0339901i	$0.989179\pi$
$968$	7.13862	+	4.12148i	0.229444	+	0.132470i
$969$	6.69860	+	2.54634i	0.215190	+	0.0818002i
$970$	−2.68298	−	4.64707i	−0.0861455	−	0.149208i
$971$	26.4549	+	45.8213i	0.848980	+	1.47048i	0.882120	+	0.471025i	$0.156116\pi$
$971$	26.4549	+	45.8213i	0.848980	+	1.47048i	−0.0331401	+	0.999451i	$0.510551\pi$
$972$	−0.500000	+	0.866025i	−0.0160375	+	0.0277778i
$973$	−34.0441	+	8.16198i	−1.09140	+	0.261661i
$974$	−9.11941	+	15.7953i	−0.292205	+	0.506113i
$975$	−0.682805			−0.0218672
$976$	9.81466	−	5.66650i	0.314160	−	0.181380i
$977$	−26.3278	+	15.2003i	−0.842299	+	0.486302i	−0.858045	−	0.513574i	$-0.828321\pi$
$977$	−26.3278	+	15.2003i	−0.842299	+	0.486302i	0.0157457	+	0.999876i	$0.494988\pi$
$978$		−	3.76127i		−	0.120272i
$979$	4.47022	+	7.74264i	0.142869	+	0.247456i
$980$	2.00525	−	3.08359i	0.0640555	−	0.0985016i
$981$		−	3.48127i		−	0.111149i
$982$		−	31.3572i		−	1.00065i
$983$	35.1623			1.12150			0.560752	−	0.827984i	$-0.310512\pi$
$983$	35.1623			1.12150			0.560752	+	0.827984i	$0.310512\pi$
$984$	−4.62700	−	2.67140i	−0.147503	−	0.0851612i
$985$	−7.83492	+	4.52350i	−0.249641	+	0.144131i
$986$	1.10629	+	0.638718i	0.0352315	+	0.0203409i
$987$	−6.65449	+	22.4394i	−0.211815	+	0.714253i
$988$	0.223871	−	0.588933i	0.00712229	−	0.0187365i
$989$	−33.8838	+	58.6885i	−1.07744	+	1.86618i
$990$	0.872498			0.0277298
$991$			22.2557i			0.706976i	0.935439	+	0.353488i	$0.115004\pi$
$991$			22.2557i			0.706976i	−0.935439	+	0.353488i	$0.884996\pi$
$992$		−	2.15763i		−	0.0685048i
$993$	12.0393	+	6.95090i	0.382056	+	0.220580i
$994$	−10.1546	−	3.01140i	−0.322086	−	0.0955159i
$995$	−6.27665			−0.198983
$996$	3.70235	+	2.13755i	0.117313	+	0.0677310i
$997$	6.53783	+	3.77462i	0.207055	+	0.119543i	0.599942	−	0.800043i	$-0.295190\pi$
$997$	6.53783	+	3.77462i	0.207055	+	0.119543i	−0.392887	+	0.919587i	$0.628524\pi$
$998$	6.42069	+	3.70699i	0.203244	+	0.117343i
$999$	−3.16372	−	1.82658i	−0.100096	−	0.0577903i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bc.a.103.4	yes	28
7.3	odd	6		798.2.m.a.787.4	yes	28
19.12	odd	6		798.2.m.a.145.11	✓	28
133.31	even	6	inner	798.2.bc.a.31.4	yes	28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.m.a.145.11	✓	28	19.12	odd	6
798.2.m.a.787.4	yes	28	7.3	odd	6
798.2.bc.a.31.4	yes	28	133.31	even	6	inner
798.2.bc.a.103.4	yes	28	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.bc (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} -1.00000 q^{3} +(0.500000 - 0.866025i) q^{4} +(0.455066 - 0.262732i) q^{5} +(0.866025 - 0.500000i) q^{6} +(-2.53656 - 0.752229i) q^{7} +1.00000i q^{8} +1.00000 q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} -1.00000 q^{3} +(0.500000 - 0.866025i) q^{4} +(0.455066 - 0.262732i) q^{5} +(0.866025 - 0.500000i) q^{6} +(-2.53656 - 0.752229i) q^{7} +1.00000i q^{8} +1.00000 q^{9} +(-0.262732 + 0.455066i) q^{10} +(-0.830215 - 1.43798i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-0.0722715 - 0.125178i) q^{13} +(2.57284 - 0.616832i) q^{14} +(-0.455066 + 0.262732i) q^{15} +(-0.500000 - 0.866025i) q^{16} +1.64405i q^{17} +(-0.866025 + 0.500000i) q^{18} +(-1.54882 + 4.07445i) q^{19} -0.525465i q^{20} +(2.53656 + 0.752229i) q^{21} +(1.43798 + 0.830215i) q^{22} +5.76865 q^{23} -1.00000i q^{24} +(-2.36194 + 4.09101i) q^{25} +(0.125178 + 0.0722715i) q^{26} -1.00000 q^{27} +(-1.91973 + 1.82061i) q^{28} +(-0.672907 + 0.388503i) q^{29} +(0.262732 - 0.455066i) q^{30} +(-1.07882 - 1.86856i) q^{31} +(0.866025 + 0.500000i) q^{32} +(0.830215 + 1.43798i) q^{33} +(-0.822024 - 1.42379i) q^{34} +(-1.35194 + 0.324124i) q^{35} +(0.500000 - 0.866025i) q^{36} +(3.16372 + 1.82658i) q^{37} +(-0.695906 - 4.30299i) q^{38} +(0.0722715 + 0.125178i) q^{39} +(0.262732 + 0.455066i) q^{40} +(2.67140 - 4.62700i) q^{41} +(-2.57284 + 0.616832i) q^{42} +(-5.87378 + 10.1737i) q^{43} -1.66043 q^{44} +(0.455066 - 0.262732i) q^{45} +(-4.99580 + 2.88433i) q^{46} +8.84637i q^{47} +(0.500000 + 0.866025i) q^{48} +(5.86830 + 3.81615i) q^{49} -4.72389i q^{50} -1.64405i q^{51} -0.144543 q^{52} +(10.6916 + 6.17280i) q^{53} +(0.866025 - 0.500000i) q^{54} +(-0.755606 - 0.436249i) q^{55} +(0.752229 - 2.53656i) q^{56} +(1.54882 - 4.07445i) q^{57} +(0.388503 - 0.672907i) q^{58} -8.95017 q^{59} +0.525465i q^{60} +11.3330i q^{61} +(1.86856 + 1.07882i) q^{62} +(-2.53656 - 0.752229i) q^{63} -1.00000 q^{64} +(-0.0657766 - 0.0379761i) q^{65} +(-1.43798 - 0.830215i) q^{66} +(-10.9327 - 6.31202i) q^{67} +(1.42379 + 0.822024i) q^{68} -5.76865 q^{69} +(1.00875 - 0.956669i) q^{70} +(-3.46696 - 2.00165i) q^{71} +1.00000i q^{72} +14.9385i q^{73} -3.65315 q^{74} +(2.36194 - 4.09101i) q^{75} +(2.75417 + 3.37854i) q^{76} +(1.02421 + 4.27203i) q^{77} +(-0.125178 - 0.0722715i) q^{78} +(-2.28199 + 1.31751i) q^{79} +(-0.455066 - 0.262732i) q^{80} +1.00000 q^{81} +5.34280i q^{82} -4.27511i q^{83} +(1.91973 - 1.82061i) q^{84} +(0.431945 + 0.748151i) q^{85} -11.7476i q^{86} +(0.672907 - 0.388503i) q^{87} +(1.43798 - 0.830215i) q^{88} -5.38441 q^{89} +(-0.262732 + 0.455066i) q^{90} +(0.0891587 + 0.371886i) q^{91} +(2.88433 - 4.99580i) q^{92} +(1.07882 + 1.86856i) q^{93} +(-4.42318 - 7.66118i) q^{94} +(0.365674 + 2.26107i) q^{95} +(-0.866025 - 0.500000i) q^{96} +(-5.10593 + 8.84372i) q^{97} +(-6.99018 - 0.370733i) q^{98} +(-0.830215 - 1.43798i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 28 q^{3} + 14 q^{4} + 6 q^{5} + 4 q^{7} + 28 q^{9}+O(q^{10}) \) 28 * q - 28 * q^3 + 14 * q^4 + 6 * q^5 + 4 * q^7 + 28 * q^9	\( 28 q - 28 q^{3} + 14 q^{4} + 6 q^{5} + 4 q^{7} + 28 q^{9} - 2 q^{10} - 14 q^{12} - 2 q^{13} - 4 q^{14} - 6 q^{15} - 14 q^{16} + 12 q^{19} - 4 q^{21} - 12 q^{22} + 14 q^{25} - 28 q^{27} + 2 q^{28} + 18 q^{29} + 2 q^{30} - 4 q^{31} - 8 q^{34} - 10 q^{35} + 14 q^{36} - 12 q^{37} + 6 q^{38} + 2 q^{39} + 2 q^{40} + 8 q^{41} + 4 q^{42} + 10 q^{43} + 6 q^{45} + 24 q^{46} + 14 q^{48} - 4 q^{52} - 12 q^{53} - 30 q^{55} + 4 q^{56} - 12 q^{57} - 2 q^{58} + 4 q^{59} + 12 q^{62} + 4 q^{63} - 28 q^{64} + 96 q^{65} + 12 q^{66} - 6 q^{67} + 6 q^{68} - 6 q^{70} - 42 q^{71} + 12 q^{74} - 14 q^{75} + 12 q^{76} + 16 q^{77} + 12 q^{79} - 6 q^{80} + 28 q^{81} - 2 q^{84} - 8 q^{85} - 18 q^{87} - 12 q^{88} - 16 q^{89} - 2 q^{90} + 8 q^{91} + 4 q^{93} - 18 q^{94} - 82 q^{95} - 8 q^{97} + 20 q^{98}+O(q^{100}) \) 28 * q - 28 * q^3 + 14 * q^4 + 6 * q^5 + 4 * q^7 + 28 * q^9 - 2 * q^10 - 14 * q^12 - 2 * q^13 - 4 * q^14 - 6 * q^15 - 14 * q^16 + 12 * q^19 - 4 * q^21 - 12 * q^22 + 14 * q^25 - 28 * q^27 + 2 * q^28 + 18 * q^29 + 2 * q^30 - 4 * q^31 - 8 * q^34 - 10 * q^35 + 14 * q^36 - 12 * q^37 + 6 * q^38 + 2 * q^39 + 2 * q^40 + 8 * q^41 + 4 * q^42 + 10 * q^43 + 6 * q^45 + 24 * q^46 + 14 * q^48 - 4 * q^52 - 12 * q^53 - 30 * q^55 + 4 * q^56 - 12 * q^57 - 2 * q^58 + 4 * q^59 + 12 * q^62 + 4 * q^63 - 28 * q^64 + 96 * q^65 + 12 * q^66 - 6 * q^67 + 6 * q^68 - 6 * q^70 - 42 * q^71 + 12 * q^74 - 14 * q^75 + 12 * q^76 + 16 * q^77 + 12 * q^79 - 6 * q^80 + 28 * q^81 - 2 * q^84 - 8 * q^85 - 18 * q^87 - 12 * q^88 - 16 * q^89 - 2 * q^90 + 8 * q^91 + 4 * q^93 - 18 * q^94 - 82 * q^95 - 8 * q^97 + 20 * q^98

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