LMFDB - Embedded newform 390.2.bn.c.97.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(67,390)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(390, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("390.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 390 = 2 \cdot 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	390.bn (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.11416567883$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.7
Character	$\chi$	$=$	390.97
Dual form			390.2.bn.c.193.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.13085 - 1.92904i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.245433 + 0.141701i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.13085 - 1.92904i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.245433 + 0.141701i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(1.10517 + 1.94386i) q^{10} +(1.95811 - 0.524674i) q^{11} +(0.707107 - 0.707107i) q^{12} +(3.31330 - 1.42198i) q^{13} -0.283402i q^{14} +(2.15599 + 0.593042i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.84215 + 0.761552i) q^{17} -1.00000i q^{18} +(-0.733227 + 2.73644i) q^{19} +(-2.23602 - 0.0148223i) q^{20} +(-0.200395 - 0.200395i) q^{21} +(-0.524674 + 1.95811i) q^{22} +(8.32442 - 2.23052i) q^{23} +(0.258819 + 0.965926i) q^{24} +(-2.44238 - 4.36289i) q^{25} +(-0.425176 + 3.58039i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(0.245433 + 0.141701i) q^{28} +(0.292479 + 0.168863i) q^{29} +(-1.59159 + 1.57062i) q^{30} +(-4.64573 + 4.64573i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(1.01359 + 1.75559i) q^{33} +(-2.08060 + 2.08060i) q^{34} +(-0.00420066 + 0.633692i) q^{35} +(0.866025 + 0.500000i) q^{36} +(0.230581 + 0.133126i) q^{37} +(-2.00321 - 2.00321i) q^{38} +(2.23108 + 2.83237i) q^{39} +(1.13085 - 1.92904i) q^{40} +(-1.25688 - 4.69076i) q^{41} +(0.273745 - 0.0733498i) q^{42} +(-2.95178 + 11.0162i) q^{43} +(-1.43344 - 1.43344i) q^{44} +(-0.0148223 + 2.23602i) q^{45} +(-2.23052 + 8.32442i) q^{46} +1.09846i q^{47} +(-0.965926 - 0.258819i) q^{48} +(-3.45984 + 5.99262i) q^{49} +(4.99956 + 0.0662859i) q^{50} +2.94241i q^{51} +(-2.88812 - 2.15841i) q^{52} +(4.98163 - 4.98163i) q^{53} +(0.965926 - 0.258819i) q^{54} +(1.20220 - 4.37059i) q^{55} +(-0.245433 + 0.141701i) q^{56} -2.83297 q^{57} +(-0.292479 + 0.168863i) q^{58} +(2.10769 + 0.564754i) q^{59} +(-0.564407 - 2.16366i) q^{60} +(-5.46723 - 9.46953i) q^{61} +(-1.70045 - 6.34618i) q^{62} +(0.141701 - 0.245433i) q^{63} +1.00000 q^{64} +(1.00377 - 7.99953i) q^{65} -2.02718 q^{66} +(6.86730 - 11.8945i) q^{67} +(-0.761552 - 2.84215i) q^{68} +(4.30904 + 7.46347i) q^{69} +(-0.546693 - 0.320484i) q^{70} +(-9.81868 - 2.63091i) q^{71} +(-0.866025 + 0.500000i) q^{72} -5.93495 q^{73} +(-0.230581 + 0.133126i) q^{74} +(3.58209 - 3.48835i) q^{75} +(2.73644 - 0.733227i) q^{76} +(-0.406238 + 0.406238i) q^{77} +(-3.56844 + 0.515986i) q^{78} +5.53934i q^{79} +(1.10517 + 1.94386i) q^{80} +(0.500000 - 0.866025i) q^{81} +(4.69076 + 1.25688i) q^{82} -6.33627i q^{83} +(-0.0733498 + 0.273745i) q^{84} +(4.68310 - 4.62142i) q^{85} +(-8.06441 - 8.06441i) q^{86} +(-0.0874099 + 0.326218i) q^{87} +(1.95811 - 0.524674i) q^{88} +(1.14776 + 4.28351i) q^{89} +(-1.92904 - 1.13085i) q^{90} +(-0.611697 + 0.818500i) q^{91} +(-6.09390 - 6.09390i) q^{92} +(-5.68983 - 3.28502i) q^{93} +(-0.951297 - 0.549231i) q^{94} +(4.44953 + 4.50892i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-9.11914 - 15.7948i) q^{97} +(-3.45984 - 5.99262i) q^{98} +(-1.43344 + 1.43344i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) $ 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8	$ 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) $ 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8 - 4 * q^11 + 8 * q^13 - 4 * q^15 - 16 * q^16 - 4 * q^17 + 20 * q^19 + 8 * q^21 + 8 * q^22 - 16 * q^23 - 8 * q^25 - 4 * q^26 + 12 * q^28 + 24 * q^29 + 8 * q^30 + 12 * q^31 - 16 * q^32 - 16 * q^34 + 12 * q^35 - 24 * q^37 - 4 * q^38 - 20 * q^39 - 28 * q^41 - 16 * q^42 + 4 * q^43 - 4 * q^44 - 4 * q^46 + 20 * q^49 - 8 * q^50 - 4 * q^52 - 4 * q^53 + 68 * q^55 - 12 * q^56 + 16 * q^57 - 24 * q^58 + 36 * q^59 - 4 * q^60 - 28 * q^61 - 48 * q^62 + 32 * q^64 - 28 * q^65 - 28 * q^67 + 20 * q^68 - 20 * q^69 - 24 * q^70 - 4 * q^71 - 48 * q^73 + 24 * q^74 + 24 * q^75 - 16 * q^76 + 20 * q^77 + 4 * q^78 + 16 * q^81 + 44 * q^82 + 8 * q^84 + 64 * q^85 - 8 * q^86 + 20 * q^87 - 4 * q^88 - 16 * q^89 - 40 * q^91 + 20 * q^92 - 24 * q^93 - 24 * q^94 + 68 * q^95 + 8 * q^97 + 20 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/390\mathbb{Z}\right)^\times$.

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{12}\right)$

Coefficient data

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

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

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

$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	1.13085	−	1.92904i	0.505730	−	0.862692i
$5$	1.13085	−	1.92904i	0.505730	−	0.862692i
$6$	−0.965926	−	0.258819i	−0.394338	−	0.105662i
$7$	−0.245433	+	0.141701i	−0.0927650	+	0.0535579i	−0.545665	−	0.838003i	$-0.683723\pi$
$7$	−0.245433	+	0.141701i	−0.0927650	+	0.0535579i	0.452900	+	0.891561i	$0.350390\pi$
$8$	1.00000			0.353553
$9$	−0.866025	+	0.500000i	−0.288675	+	0.166667i
$10$	1.10517	+	1.94386i	0.349486	+	0.614703i
$11$	1.95811	−	0.524674i	0.590392	−	0.158195i	0.0487598	−	0.998811i	$-0.484473\pi$
$11$	1.95811	−	0.524674i	0.590392	−	0.158195i	0.541632	+	0.840615i	$0.317806\pi$
$12$	0.707107	−	0.707107i	0.204124	−	0.204124i
$13$	3.31330	−	1.42198i	0.918944	−	0.394387i
$13$	3.31330	−	1.42198i	0.918944	−	0.394387i
$14$		−	0.283402i		−	0.0757423i
$15$	2.15599	+	0.593042i	0.556675	+	0.153123i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	2.84215	+	0.761552i	0.689323	+	0.184703i	0.586443	−	0.809990i	$-0.300528\pi$
$17$	2.84215	+	0.761552i	0.689323	+	0.184703i	0.102880	+	0.994694i	$0.467194\pi$
$18$		−	1.00000i		−	0.235702i
$19$	−0.733227	+	2.73644i	−0.168214	+	0.627783i	0.829395	+	0.558663i	$0.188686\pi$
$19$	−0.733227	+	2.73644i	−0.168214	+	0.627783i	−0.997608	+	0.0691194i	$0.977981\pi$
$20$	−2.23602	−	0.0148223i	−0.499989	−	0.00331437i
$21$	−0.200395	−	0.200395i	−0.0437298	−	0.0437298i
$22$	−0.524674	+	1.95811i	−0.111861	+	0.417470i
$23$	8.32442	−	2.23052i	1.73576	−	0.465096i	0.754264	−	0.656571i	$-0.227994\pi$
$23$	8.32442	−	2.23052i	1.73576	−	0.465096i	0.981497	+	0.191475i	$0.0613271\pi$
$24$	0.258819	+	0.965926i	0.0528312	+	0.197169i
$25$	−2.44238	−	4.36289i	−0.488475	−	0.872578i
$26$	−0.425176	+	3.58039i	−0.0833838	+	0.702173i
$27$	−0.707107	−	0.707107i	−0.136083	−	0.136083i
$28$	0.245433	+	0.141701i	0.0463825	+	0.0267789i
$29$	0.292479	+	0.168863i	0.0543120	+	0.0313571i	0.526910	−	0.849921i	$-0.323350\pi$
$29$	0.292479	+	0.168863i	0.0543120	+	0.0313571i	−0.472598	+	0.881278i	$0.656684\pi$
$30$	−1.59159	+	1.57062i	−0.290582	+	0.286755i
$31$	−4.64573	+	4.64573i	−0.834397	+	0.834397i	−0.988115	−	0.153718i	$-0.950875\pi$
$31$	−4.64573	+	4.64573i	−0.834397	+	0.834397i	0.153718	+	0.988115i	$0.450875\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	1.01359	+	1.75559i	0.176444	+	0.305610i
$34$	−2.08060	+	2.08060i	−0.356820	+	0.356820i
$35$	−0.00420066	+	0.633692i	−0.000710042	+	0.107113i
$36$	0.866025	+	0.500000i	0.144338	+	0.0833333i
$37$	0.230581	+	0.133126i	0.0379073	+	0.0218858i	0.518834	−	0.854875i	$-0.326366\pi$
$37$	0.230581	+	0.133126i	0.0379073	+	0.0218858i	−0.480927	+	0.876761i	$0.659700\pi$
$38$	−2.00321	−	2.00321i	−0.324964	−	0.324964i
$39$	2.23108	+	2.83237i	0.357258	+	0.453542i
$40$	1.13085	−	1.92904i	0.178802	−	0.305008i
$41$	−1.25688	−	4.69076i	−0.196292	−	0.732573i	−0.991929	−	0.126798i	$-0.959530\pi$
$41$	−1.25688	−	4.69076i	−0.196292	−	0.732573i	0.795636	−	0.605775i	$-0.207137\pi$
$42$	0.273745	−	0.0733498i	0.0422398	−	0.0113181i
$43$	−2.95178	+	11.0162i	−0.450142	+	1.67995i	0.251849	+	0.967766i	$0.418961\pi$
$43$	−2.95178	+	11.0162i	−0.450142	+	1.67995i	−0.701991	+	0.712186i	$0.747705\pi$
$44$	−1.43344	−	1.43344i	−0.216099	−	0.216099i
$45$	−0.0148223	+	2.23602i	−0.00220958	+	0.333326i
$46$	−2.23052	+	8.32442i	−0.328873	+	1.22737i
$47$			1.09846i			0.160227i	0.996786	+	0.0801136i	$0.0255283\pi$
$47$			1.09846i			0.160227i	−0.996786	+	0.0801136i	$0.974472\pi$
$48$	−0.965926	−	0.258819i	−0.139419	−	0.0373573i
$49$	−3.45984	+	5.99262i	−0.494263	+	0.856089i
$50$	4.99956	+	0.0662859i	0.707045	+	0.00937424i
$51$			2.94241i			0.412020i
$52$	−2.88812	−	2.15841i	−0.400511	−	0.299318i
$53$	4.98163	−	4.98163i	0.684279	−	0.684279i	−0.276682	−	0.960961i	$-0.589235\pi$
$53$	4.98163	−	4.98163i	0.684279	−	0.684279i	0.960961	+	0.276682i	$0.0892350\pi$
$54$	0.965926	−	0.258819i	0.131446	−	0.0352208i
$55$	1.20220	−	4.37059i	0.162105	−	0.589331i
$56$	−0.245433	+	0.141701i	−0.0327974	+	0.0189356i
$57$	−2.83297			−0.375236
$58$	−0.292479	+	0.168863i	−0.0384044	+	0.0221728i
$59$	2.10769	+	0.564754i	0.274398	+	0.0735247i	0.393394	−	0.919370i	$-0.371301\pi$
$59$	2.10769	+	0.564754i	0.274398	+	0.0735247i	−0.118996	+	0.992895i	$0.537968\pi$
$60$	−0.564407	−	2.16366i	−0.0728646	−	0.279328i
$61$	−5.46723	−	9.46953i	−0.700008	−	1.21245i	−0.968463	−	0.249157i	$-0.919847\pi$
$61$	−5.46723	−	9.46953i	−0.700008	−	1.21245i	0.268456	−	0.963292i	$-0.413487\pi$
$62$	−1.70045	−	6.34618i	−0.215958	−	0.805966i
$63$	0.141701	−	0.245433i	0.0178526	−	0.0309217i
$64$	1.00000			0.125000
$65$	1.00377	−	7.99953i	0.124502	−	0.992219i
$66$	−2.02718			−0.249529
$67$	6.86730	−	11.8945i	0.838974	−	1.45315i	−0.0517794	−	0.998659i	$-0.516489\pi$
$67$	6.86730	−	11.8945i	0.838974	−	1.45315i	0.890753	−	0.454487i	$-0.150177\pi$
$68$	−0.761552	−	2.84215i	−0.0923517	−	0.344661i
$69$	4.30904	+	7.46347i	0.518747	+	0.898496i
$70$	−0.546693	−	0.320484i	−0.0653423	−	0.0383051i
$71$	−9.81868	−	2.63091i	−1.16526	−	0.312231i	−0.376197	−	0.926540i	$-0.622768\pi$
$71$	−9.81868	−	2.63091i	−1.16526	−	0.312231i	−0.789066	+	0.614308i	$0.789435\pi$
$72$	−0.866025	+	0.500000i	−0.102062	+	0.0589256i
$73$	−5.93495			−0.694634			−0.347317	−	0.937748i	$-0.612907\pi$
$73$	−5.93495			−0.694634			−0.347317	+	0.937748i	$0.612907\pi$
$74$	−0.230581	+	0.133126i	−0.0268045	+	0.0154756i
$75$	3.58209	−	3.48835i	0.413625	−	0.402800i
$76$	2.73644	−	0.733227i	0.313891	−	0.0841069i
$77$	−0.406238	+	0.406238i	−0.0462951	+	0.0462951i
$78$	−3.56844	+	0.515986i	−0.404046	+	0.0584239i
$79$			5.53934i			0.623224i	0.950209	+	0.311612i	$0.100869\pi$
$79$			5.53934i			0.623224i	−0.950209	+	0.311612i	$0.899131\pi$
$80$	1.10517	+	1.94386i	0.123562	+	0.217330i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	4.69076	+	1.25688i	0.518007	+	0.138800i
$83$		−	6.33627i		−	0.695496i	−0.937588	−	0.347748i	$-0.886947\pi$
$83$		−	6.33627i		−	0.695496i	0.937588	−	0.347748i	$-0.113053\pi$
$84$	−0.0733498	+	0.273745i	−0.00800312	+	0.0298680i
$85$	4.68310	−	4.62142i	0.507953	−	0.501263i
$86$	−8.06441	−	8.06441i	−0.869607	−	0.869607i
$87$	−0.0874099	+	0.326218i	−0.00937132	+	0.0349742i
$88$	1.95811	−	0.524674i	0.208735	−	0.0559304i
$89$	1.14776	+	4.28351i	0.121663	+	0.454051i	0.999699	−	0.0245432i	$-0.00781312\pi$
$89$	1.14776	+	4.28351i	0.121663	+	0.454051i	−0.878036	+	0.478594i	$0.841146\pi$
$90$	−1.92904	−	1.13085i	−0.203338	−	0.119202i
$91$	−0.611697	+	0.818500i	−0.0641233	+	0.0858021i
$92$	−6.09390	−	6.09390i	−0.635333	−	0.635333i
$93$	−5.68983	−	3.28502i	−0.590008	−	0.340641i
$94$	−0.951297	−	0.549231i	−0.0981188	−	0.0566489i
$95$	4.44953	+	4.50892i	0.456512	+	0.462605i
$96$	0.707107	−	0.707107i	0.0721688	−	0.0721688i
$97$	−9.11914	−	15.7948i	−0.925908	−	1.60372i	−0.790094	−	0.612986i	$-0.789968\pi$
$97$	−9.11914	−	15.7948i	−0.925908	−	1.60372i	−0.135814	−	0.990734i	$-0.543365\pi$
$98$	−3.45984	−	5.99262i	−0.349497	−	0.605346i
$99$	−1.43344	+	1.43344i	−0.144066	+	0.144066i
$100$	−2.55719	+	4.29660i	−0.255719	+	0.429660i
$101$	4.82022	+	2.78296i	0.479630	+	0.276915i	0.720262	−	0.693702i	$-0.244021\pi$
$101$	4.82022	+	2.78296i	0.479630	+	0.276915i	−0.240632	+	0.970616i	$0.577355\pi$
$102$	−2.54820	−	1.47121i	−0.252310	−	0.145671i
$103$	9.71972	+	9.71972i	0.957713	+	0.957713i	0.999141	−	0.0414288i	$-0.0131910\pi$
$103$	9.71972	+	9.71972i	0.957713	+	0.957713i	−0.0414288	+	0.999141i	$0.513191\pi$
$104$	3.31330	−	1.42198i	0.324896	−	0.139437i
$105$	−0.613186	+	0.159954i	−0.0598409	+	0.0156099i
$106$	1.82340	+	6.80503i	0.177104	+	0.660963i
$107$	−16.7594	+	4.49068i	−1.62020	+	0.434130i	−0.951059	−	0.309008i	$-0.900003\pi$
$107$	−16.7594	+	4.49068i	−1.62020	+	0.434130i	−0.669137	+	0.743139i	$0.733336\pi$
$108$	−0.258819	+	0.965926i	−0.0249049	+	0.0929463i
$109$	−3.58382	−	3.58382i	−0.343268	−	0.343268i	0.514327	−	0.857594i	$-0.328042\pi$
$109$	−3.58382	−	3.58382i	−0.343268	−	0.343268i	−0.857594	+	0.514327i	$0.828042\pi$
$110$	3.18394	+	3.22644i	0.303577	+	0.307629i
$111$	−0.0689112	+	0.257180i	−0.00654076	+	0.0244105i
$112$		−	0.283402i		−	0.0267789i
$113$	−3.64638	−	0.977045i	−0.343023	−	0.0919127i	0.0831949	−	0.996533i	$-0.473488\pi$
$113$	−3.64638	−	0.977045i	−0.343023	−	0.0919127i	−0.426218	+	0.904621i	$0.640154\pi$
$114$	1.41649	−	2.45343i	0.132666	−	0.229784i
$115$	5.11088	−	18.5805i	0.476592	−	1.73264i
$116$		−	0.337726i		−	0.0313571i
$117$	−2.15841	+	2.88812i	−0.199545	+	0.267007i
$118$	−1.54294	+	1.54294i	−0.142039	+	0.142039i
$119$	−0.805470	+	0.215825i	−0.0738374	+	0.0197847i
$120$	2.15599	+	0.593042i	0.196814	+	0.0541370i
$121$	−5.96737	+	3.44526i	−0.542488	+	0.313206i
$122$	10.9345			0.989960
$123$	4.20562	−	2.42811i	0.379208	−	0.218936i
$124$	6.34618	+	1.70045i	0.569904	+	0.152705i
$125$	−11.1781	−	0.222321i	−0.999802	−	0.0198850i
$126$	0.141701	+	0.245433i	0.0126237	+	0.0218649i
$127$	1.32991	+	4.96331i	0.118011	+	0.440422i	0.999495	−	0.0317921i	$-0.0101214\pi$
$127$	1.32991	+	4.96331i	0.118011	+	0.440422i	−0.881484	+	0.472214i	$0.843455\pi$
$128$	−0.500000	+	0.866025i	−0.0441942	+	0.0765466i
$129$	−11.4048			−1.00414
$130$	6.42591	+	4.86905i	0.563590	+	0.427044i
$131$	6.56279			0.573394			0.286697	−	0.958021i	$-0.407443\pi$
$131$	6.56279			0.573394			0.286697	+	0.958021i	$0.407443\pi$
$132$	1.01359	−	1.75559i	0.0882219	−	0.152805i
$133$	−0.207798	−	0.775512i	−0.0180184	−	0.0672454i
$134$	6.86730	+	11.8945i	0.593244	+	1.02753i
$135$	−2.16366	+	0.564407i	−0.186219	+	0.0485764i
$136$	2.84215	+	0.761552i	0.243712	+	0.0653025i
$137$	−10.5356	+	6.08271i	−0.900114	+	0.519681i	−0.877237	−	0.480057i	$-0.840616\pi$
$137$	−10.5356	+	6.08271i	−0.900114	+	0.519681i	−0.0228767	+	0.999738i	$0.507283\pi$
$138$	−8.61807			−0.733619
$139$	−9.81843	+	5.66867i	−0.832788	+	0.480811i	−0.854806	−	0.518947i	$-0.826324\pi$
$139$	−9.81843	+	5.66867i	−0.832788	+	0.480811i	0.0220181	+	0.999758i	$0.492991\pi$
$140$	0.550893	−	0.313208i	0.0465590	−	0.0264709i
$141$	−1.06103	+	0.284303i	−0.0893551	+	0.0239426i
$142$	7.18777	−	7.18777i	0.603185	−	0.603185i
$143$	5.74173	−	4.52280i	0.480147	−	0.378216i
$144$		−	1.00000i		−	0.0833333i
$145$	0.656492	−	0.373245i	0.0545187	−	0.0309963i
$146$	2.96748	−	5.13982i	0.245590	−	0.425375i
$147$	−6.68390	−	1.79095i	−0.551279	−	0.147715i
$148$		−	0.266252i		−	0.0218858i
$149$	0.564375	−	2.10628i	0.0462354	−	0.172553i	−0.938947	−	0.344061i	$-0.888197\pi$
$149$	0.564375	−	2.10628i	0.0462354	−	0.172553i	0.985183	+	0.171508i	$0.0548639\pi$
$150$	1.22995	+	4.84636i	0.100425	+	0.395704i
$151$	−1.56481	−	1.56481i	−0.127343	−	0.127343i	0.640563	−	0.767906i	$-0.278701\pi$
$151$	−1.56481	−	1.56481i	−0.127343	−	0.127343i	−0.767906	+	0.640563i	$0.778701\pi$
$152$	−0.733227	+	2.73644i	−0.0594726	+	0.221955i
$153$	−2.84215	+	0.761552i	−0.229774	+	0.0615678i
$154$	−0.148693	−	0.554932i	−0.0119821	−	0.0447177i
$155$	3.70818	+	14.2154i	0.297848	+	1.14181i
$156$	1.33736	−	3.34835i	0.107075	−	0.268083i
$157$	4.84530	+	4.84530i	0.386697	+	0.386697i	0.873508	−	0.486811i	$-0.161840\pi$
$157$	4.84530	+	4.84530i	0.386697	+	0.386697i	−0.486811	+	0.873508i	$0.661840\pi$
$158$	−4.79721	−	2.76967i	−0.381646	−	0.220343i
$159$	6.10122	+	3.52254i	0.483858	+	0.279356i
$160$	−2.23602	−	0.0148223i	−0.176773	−	0.00117181i
$161$	−1.72702	+	1.72702i	−0.136108	+	0.136108i
$162$	0.500000	+	0.866025i	0.0392837	+	0.0680414i
$163$	0.221961	+	0.384448i	0.0173853	+	0.0301123i	0.874587	−	0.484868i	$-0.161132\pi$
$163$	0.221961	+	0.384448i	0.0173853	+	0.0301123i	−0.857202	+	0.514981i	$0.827799\pi$
$164$	−3.43387	+	3.43387i	−0.268140	+	0.268140i
$165$	4.53282	+	0.0300475i	0.352880	+	0.00233920i
$166$	5.48737	+	3.16813i	0.425902	+	0.245895i
$167$	2.87882	+	1.66209i	0.222770	+	0.128616i	0.607232	−	0.794524i	$-0.292280\pi$
$167$	2.87882	+	1.66209i	0.222770	+	0.128616i	−0.384462	+	0.923141i	$0.625613\pi$
$168$	−0.200395	−	0.200395i	−0.0154608	−	0.0154608i
$169$	8.95592	−	9.42292i	0.688917	−	0.724840i
$170$	1.66072	+	6.36639i	0.127371	+	0.488280i
$171$	−0.733227	−	2.73644i	−0.0560713	−	0.209261i
$172$	11.0162	−	2.95178i	0.839976	−	0.225071i
$173$	−4.40402	+	16.4360i	−0.334832	+	1.24961i	0.569220	+	0.822185i	$0.307245\pi$
$173$	−4.40402	+	16.4360i	−0.334832	+	1.24961i	−0.904052	+	0.427424i	$0.859421\pi$
$174$	−0.238808	−	0.238808i	−0.0181040	−	0.0181040i
$175$	1.21766	+	0.724711i	0.0920468	+	0.0547830i
$176$	−0.524674	+	1.95811i	−0.0395488	+	0.147598i
$177$			2.18204i			0.164012i
$178$	−4.28351	−	1.14776i	−0.321063	−	0.0860285i
$179$	2.57921	−	4.46733i	0.192780	−	0.333904i	−0.753391	−	0.657573i	$-0.771583\pi$
$179$	2.57921	−	4.46733i	0.192780	−	0.333904i	0.946170	+	0.323669i	$0.104916\pi$
$180$	1.94386	−	1.10517i	0.144887	−	0.0823747i
$181$			15.7280i			1.16905i	0.811376	+	0.584525i	$0.198719\pi$
$181$			15.7280i			1.16905i	−0.811376	+	0.584525i	$0.801281\pi$
$182$	−0.402993	−	0.938995i	−0.0298718	−	0.0696029i
$183$	7.73184	−	7.73184i	0.571554	−	0.571554i
$184$	8.32442	−	2.23052i	0.613684	−	0.164436i
$185$	0.517558	−	0.294255i	0.0380516	−	0.0216341i
$186$	5.68983	−	3.28502i	0.417198	−	0.240870i
$187$	5.96481			0.436190
$188$	0.951297	−	0.549231i	0.0693804	−	0.0400568i
$189$	0.273745	+	0.0733498i	0.0199120	+	0.00533541i
$190$	−6.12960	+	1.59895i	−0.444688	+	0.116000i
$191$	−7.62656	−	13.2096i	−0.551839	−	0.955813i	−0.998142	−	0.0609309i	$-0.980593\pi$
$191$	−7.62656	−	13.2096i	−0.551839	−	0.955813i	0.446303	−	0.894882i	$-0.352740\pi$
$192$	0.258819	+	0.965926i	0.0186787	+	0.0697097i
$193$	5.11843	−	8.86538i	0.368433	−	0.638144i	−0.620888	−	0.783899i	$-0.713228\pi$
$193$	5.11843	−	8.86538i	0.368433	−	0.638144i	0.989321	+	0.145755i	$0.0465612\pi$
$194$	18.2383			1.30943
$195$	7.98675	−	1.10086i	0.571943	−	0.0788344i
$196$	6.91968			0.494263
$197$	−8.15201	+	14.1197i	−0.580807	+	1.00599i	0.414577	+	0.910014i	$0.363929\pi$
$197$	−8.15201	+	14.1197i	−0.580807	+	1.00599i	−0.995384	+	0.0959724i	$0.969404\pi$
$198$	−0.524674	−	1.95811i	−0.0372869	−	0.139157i
$199$	0.603806	+	1.04582i	0.0428026	+	0.0741364i	0.886633	−	0.462474i	$-0.153038\pi$
$199$	0.603806	+	1.04582i	0.0428026	+	0.0741364i	−0.843830	+	0.536610i	$0.819705\pi$
$200$	−2.44238	−	4.36289i	−0.172702	−	0.308503i
$201$	13.2666	+	3.55477i	0.935754	+	0.250734i
$202$	−4.82022	+	2.78296i	−0.339150	+	0.195808i
$203$	−0.0957121			−0.00671767
$204$	2.54820	−	1.47121i	0.178410	−	0.103005i
$205$	−10.4700	−	2.87995i	−0.731256	−	0.201144i
$206$	−13.2774	+	3.55766i	−0.925079	+	0.247874i
$207$	−6.09390	+	6.09390i	−0.423555	+	0.423555i
$208$	−0.425176	+	3.58039i	−0.0294806	+	0.248256i
$209$			5.74296i			0.397249i
$210$	0.168069	−	0.611012i	0.0115979	−	0.0421638i
$211$	−4.43748	+	7.68595i	−0.305489	+	0.529122i	−0.977370	−	0.211537i	$-0.932153\pi$
$211$	−4.43748	+	7.68595i	−0.305489	+	0.529122i	0.671881	+	0.740659i	$0.265487\pi$
$212$	−6.80503	−	1.82340i	−0.467371	−	0.125232i
$213$		−	10.1650i		−	0.696498i
$214$	4.49068	−	16.7594i	0.306977	−	1.14565i
$215$	17.9126	+	18.1517i	1.22163	+	1.23794i
$216$	−0.707107	−	0.707107i	−0.0481125	−	0.0481125i
$217$	0.481911	−	1.79852i	0.0327143	−	0.122091i
$218$	4.89559	−	1.31177i	0.331571	−	0.0888443i
$219$	−1.53608	−	5.73272i	−0.103799	−	0.387382i
$220$	−4.38615	+	1.14416i	−0.295714	+	0.0771390i
$221$	10.4998	−	1.51824i	0.706294	−	0.102128i
$222$	−0.188269	−	0.188269i	−0.0126358	−	0.0126358i
$223$	−2.00325	−	1.15658i	−0.134148	−	0.0774502i	0.431424	−	0.902149i	$-0.358011\pi$
$223$	−2.00325	−	1.15658i	−0.134148	−	0.0774502i	−0.565572	+	0.824699i	$0.691345\pi$
$224$	0.245433	+	0.141701i	0.0163987	+	0.00946779i
$225$	4.29660	+	2.55719i	0.286440	+	0.170479i
$226$	2.66934	−	2.66934i	0.177562	−	0.177562i
$227$	14.4895	+	25.0966i	0.961705	+	1.66572i	0.718220	+	0.695816i	$0.244957\pi$
$227$	14.4895	+	25.0966i	0.961705	+	1.66572i	0.243485	+	0.969905i	$0.421709\pi$
$228$	1.41649	+	2.45343i	0.0938091	+	0.162482i
$229$	−15.8205	+	15.8205i	−1.04545	+	1.04545i	−0.0465289	+	0.998917i	$0.514816\pi$
$229$	−15.8205	+	15.8205i	−1.04545	+	1.04545i	−0.998917	+	0.0465289i	$0.985184\pi$
$230$	13.5357	+	13.7164i	0.892521	+	0.904433i
$231$	−0.497538	−	0.287254i	−0.0327356	−	0.0188999i
$232$	0.292479	+	0.168863i	0.0192022	+	0.0110864i
$233$	12.7894	+	12.7894i	0.837862	+	0.837862i	0.988577	−	0.150715i	$-0.0481577\pi$
$233$	12.7894	+	12.7894i	0.837862	+	0.837862i	−0.150715	+	0.988577i	$0.548158\pi$
$234$	−1.42198	−	3.31330i	−0.0929580	−	0.216597i
$235$	2.11898	+	1.24219i	0.138227	+	0.0810317i
$236$	−0.564754	−	2.10769i	−0.0367623	−	0.137199i
$237$	−5.35059	+	1.43369i	−0.347558	+	0.0931280i
$238$	0.215825	−	0.805470i	0.0139899	−	0.0522109i
$239$	−10.7626	−	10.7626i	−0.696172	−	0.696172i	0.267411	−	0.963583i	$-0.413832\pi$
$239$	−10.7626	−	10.7626i	−0.696172	−	0.696172i	−0.963583	+	0.267411i	$0.913832\pi$
$240$	−1.59159	+	1.57062i	−0.102736	+	0.101383i
$241$	−0.142094	+	0.530300i	−0.00915305	+	0.0341596i	−0.970351	−	0.241699i	$-0.922295\pi$
$241$	−0.142094	+	0.530300i	−0.00915305	+	0.0341596i	0.961198	+	0.275858i	$0.0889621\pi$
$242$		−	6.89052i		−	0.442940i
$243$	0.965926	+	0.258819i	0.0619642	+	0.0166032i
$244$	−5.46723	+	9.46953i	−0.350004	+	0.606224i
$245$	7.64745	+	13.4509i	0.488577	+	0.859346i
$246$			4.85623i			0.309622i
$247$	1.46177	+	10.1093i	0.0930105	+	0.643239i
$248$	−4.64573	+	4.64573i	−0.295004	+	0.295004i
$249$	6.12036	−	1.63995i	0.387862	−	0.103927i
$250$	5.78160	−	9.56938i	0.365661	−	0.605221i
$251$	−1.65412	+	0.955005i	−0.104407	+	0.0602794i	−0.551294	−	0.834311i	$-0.685866\pi$
$251$	−1.65412	+	0.955005i	−0.104407	+	0.0602794i	0.446887	+	0.894590i	$0.352532\pi$
$252$	−0.283402			−0.0178526
$253$	15.1298	−	8.73521i	0.951204	−	0.549178i
$254$	−4.96331	−	1.32991i	−0.311426	−	0.0834462i
$255$	5.67602	+	3.32741i	0.355446	+	0.208371i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−6.39685	−	23.8734i	−0.399025	−	1.48918i	−0.814815	−	0.579720i	$-0.803162\pi$
$257$	−6.39685	−	23.8734i	−0.399025	−	1.48918i	0.415791	−	0.909460i	$-0.363505\pi$
$258$	5.70240	−	9.87684i	0.355016	−	0.614905i
$259$	−0.0754564			−0.00468863
$260$	−7.42968	+	3.13047i	−0.460769	+	0.194144i
$261$	−0.337726			−0.0209047
$262$	−3.28140	+	5.68354i	−0.202725	+	0.351131i
$263$	4.47688	+	16.7079i	0.276056	+	1.03026i	0.955130	+	0.296186i	$0.0957147\pi$
$263$	4.47688	+	16.7079i	0.276056	+	1.03026i	−0.679074	+	0.734069i	$0.737619\pi$
$264$	1.01359	+	1.75559i	0.0623823	+	0.108049i
$265$	−3.97629	−	15.2432i	−0.244262	−	0.936382i
$266$	0.775512	+	0.207798i	0.0475497	+	0.0127409i
$267$	−3.84049	+	2.21731i	−0.235034	+	0.135697i
$268$	−13.7346			−0.838974
$269$	−13.2434	+	7.64607i	−0.807464	+	0.466189i	−0.846074	−	0.533065i	$-0.821040\pi$
$269$	−13.2434	+	7.64607i	−0.807464	+	0.466189i	0.0386106	+	0.999254i	$0.487707\pi$
$270$	0.593042	−	2.15599i	0.0360914	−	0.131209i
$271$	11.1984	−	3.00059i	0.680252	−	0.182273i	0.0978834	−	0.995198i	$-0.468793\pi$
$271$	11.1984	−	3.00059i	0.680252	−	0.182273i	0.582368	+	0.812925i	$0.302126\pi$
$272$	−2.08060	+	2.08060i	−0.126155	+	0.126155i
$273$	−0.948929	−	0.379011i	−0.0574318	−	0.0229388i
$274$		−	12.1654i		−	0.734940i
$275$	−7.07153	−	7.26157i	−0.426429	−	0.437889i
$276$	4.30904	−	7.46347i	0.259374	−	0.449248i
$277$	−8.91479	−	2.38871i	−0.535638	−	0.143524i	−0.0191475	−	0.999817i	$-0.506095\pi$
$277$	−8.91479	−	2.38871i	−0.535638	−	0.143524i	−0.516491	+	0.856293i	$0.672762\pi$
$278$		−	11.3373i		−	0.679969i
$279$	1.70045	−	6.34618i	0.101803	−	0.379936i
$280$	−0.00420066	+	0.633692i	−0.000251038	+	0.0378703i
$281$	−15.2075	−	15.2075i	−0.907201	−	0.907201i	0.0888445	−	0.996046i	$-0.471683\pi$
$281$	−15.2075	−	15.2075i	−0.907201	−	0.907201i	−0.996046	+	0.0888445i	$0.971683\pi$
$282$	0.284303	−	1.06103i	0.0169300	−	0.0631836i
$283$	−13.1810	+	3.53183i	−0.783526	+	0.209945i	−0.628339	−	0.777940i	$-0.716265\pi$
$283$	−13.1810	+	3.53183i	−0.783526	+	0.209945i	−0.155187	+	0.987885i	$0.549598\pi$
$284$	2.63091	+	9.81868i	0.156116	+	0.582632i
$285$	−3.20366	+	5.46491i	−0.189768	+	0.323713i
$286$	1.04600	+	7.23388i	0.0618512	+	0.427748i
$287$	0.973165	+	0.973165i	0.0574441	+	0.0574441i
$288$	0.866025	+	0.500000i	0.0510310	+	0.0294628i
$289$	−7.22457	−	4.17111i	−0.424975	−	0.245359i
$290$	−0.00500587	+	0.755161i	−0.000293955	+	0.0443446i
$291$	12.8964	−	12.8964i	0.756001	−	0.756001i
$292$	2.96748	+	5.13982i	0.173658	+	0.300785i
$293$	−10.4824	−	18.1561i	−0.612391	−	1.06069i	−0.990836	−	0.135069i	$-0.956874\pi$
$293$	−10.4824	−	18.1561i	−0.612391	−	1.06069i	0.378445	−	0.925624i	$-0.376459\pi$
$294$	4.89296	−	4.89296i	0.285363	−	0.285363i
$295$	3.47290	−	3.42716i	0.202200	−	0.199537i
$296$	0.230581	+	0.133126i	0.0134023	+	0.00773780i
$297$	−1.75559	−	1.01359i	−0.101870	−	0.0588146i
$298$	1.54190	+	1.54190i	0.0893200	+	0.0893200i
$299$	24.4095	−	19.2276i	1.41164	−	1.11196i
$300$	−4.81205	−	1.35801i	−0.277824	−	0.0784047i
$301$	−0.836539	−	3.12201i	−0.0482173	−	0.179949i
$302$	2.13758	−	0.572762i	0.123004	−	0.0329587i
$303$	−1.44056	+	5.37626i	−0.0827583	+	0.308858i
$304$	−2.00321	−	2.00321i	−0.114892	−	0.114892i
$305$	−24.4497	−	0.162074i	−1.39998	−	0.00928033i
$306$	0.761552	−	2.84215i	0.0435350	−	0.162475i
$307$			27.2584i			1.55572i	0.628437	+	0.777861i	$0.283695\pi$
$307$			27.2584i			1.55572i	−0.628437	+	0.777861i	$0.716305\pi$
$308$	0.554932	+	0.148693i	0.0316202	+	0.00847260i
$309$	−6.87288	+	11.9042i	−0.390985	+	0.677205i
$310$	−14.1650	−	3.89631i	−0.804516	−	0.221296i
$311$			2.24659i			0.127392i	0.997969	+	0.0636961i	$0.0202888\pi$
$311$			2.24659i			0.127392i	−0.997969	+	0.0636961i	$0.979711\pi$
$312$	2.23108	+	2.83237i	0.126310	+	0.160351i
$313$	16.1133	−	16.1133i	0.910776	−	0.910776i	−0.0855568	−	0.996333i	$-0.527267\pi$
$313$	16.1133	−	16.1133i	0.910776	−	0.910776i	0.996333	+	0.0855568i	$0.0272669\pi$
$314$	−6.61880	+	1.77350i	−0.373521	+	0.100085i
$315$	−0.313208	−	0.550893i	−0.0176473	−	0.0310393i
$316$	4.79721	−	2.76967i	0.269864	−	0.155806i
$317$	15.0846			0.847233			0.423616	−	0.905842i	$-0.360760\pi$
$317$	15.0846			0.847233			0.423616	+	0.905842i	$0.360760\pi$
$318$	−6.10122	+	3.52254i	−0.342140	+	0.197534i
$319$	0.661304	+	0.177196i	0.0370259	+	0.00992107i
$320$	1.13085	−	1.92904i	0.0632162	−	0.107837i
$321$	−8.67533	−	15.0261i	−0.484210	−	0.838676i
$322$	−0.632134	−	2.35916i	−0.0352274	−	0.131471i
$323$	−4.16789	+	7.21899i	−0.231907	+	0.401675i
$324$	−1.00000			−0.0555556
$325$	−14.2963	−	10.9825i	−0.793015	−	0.609202i
$326$	−0.443922			−0.0245866
$327$	2.53414	−	4.38927i	0.140139	−	0.242727i
$328$	−1.25688	−	4.69076i	−0.0693998	−	0.259004i
$329$	−0.155653	−	0.269599i	−0.00858143	−	0.0148635i
$330$	−2.29243	+	3.91052i	−0.126194	+	0.215267i
$331$	−24.2791	−	6.50556i	−1.33450	−	0.357578i	−0.480108	−	0.877209i	$-0.659403\pi$
$331$	−24.2791	−	6.50556i	−1.33450	−	0.357578i	−0.854390	+	0.519632i	$0.826069\pi$
$332$	−5.48737	+	3.16813i	−0.301158	+	0.173874i
$333$	−0.266252			−0.0145905
$334$	−2.87882	+	1.66209i	−0.157522	+	0.0909454i
$335$	−15.1791	−	26.6981i	−0.829323	−	1.45867i
$336$	0.273745	−	0.0733498i	0.0149340	−	0.00400156i
$337$	25.1769	−	25.1769i	1.37147	−	1.37147i	0.513210	−	0.858263i	$-0.328456\pi$
$337$	25.1769	−	25.1769i	1.37147	−	1.37147i	0.858263	−	0.513210i	$-0.171544\pi$
$338$	3.68253	+	12.4675i	0.200303	+	0.678144i
$339$		−	3.77501i		−	0.205031i
$340$	−6.34381	−	1.74497i	−0.344042	−	0.0946344i
$341$	−6.65935	+	11.5343i	−0.360624	+	0.624619i
$342$	2.73644	+	0.733227i	0.147970	+	0.0396484i
$343$		−	3.94486i		−	0.213003i
$344$	−2.95178	+	11.0162i	−0.159149	+	0.593953i
$345$	19.2702	+	0.127740i	1.03747	+	0.00687727i
$346$	−12.0320	−	12.0320i	−0.646845	−	0.646845i
$347$	−3.42177	+	12.7702i	−0.183690	+	0.685541i	0.811217	+	0.584745i	$0.198806\pi$
$347$	−3.42177	+	12.7702i	−0.183690	+	0.685541i	−0.994907	+	0.100796i	$0.967861\pi$
$348$	0.326218	−	0.0874099i	0.0174871	−	0.00468566i
$349$	−3.74700	−	13.9840i	−0.200572	−	0.748545i	−0.990754	−	0.135673i	$-0.956680\pi$
$349$	−3.74700	−	13.9840i	−0.200572	−	0.748545i	0.790182	−	0.612873i	$-0.209986\pi$
$350$	−1.23645	+	0.692173i	−0.0660911	+	0.0369982i
$351$	−3.34835	−	1.33736i	−0.178722	−	0.0713831i
$352$	−1.43344	−	1.43344i	−0.0764024	−	0.0764024i
$353$	−15.3403	−	8.85675i	−0.816484	−	0.471397i	0.0327185	−	0.999465i	$-0.489584\pi$
$353$	−15.3403	−	8.85675i	−0.816484	−	0.471397i	−0.849202	+	0.528067i	$0.822917\pi$
$354$	−1.88970	−	1.09102i	−0.100437	−	0.0579871i
$355$	−16.1785	+	15.9655i	−0.858668	+	0.847359i
$356$	3.13575	−	3.13575i	0.166194	−	0.166194i
$357$	−0.416942	−	0.722165i	−0.0220669	−	0.0382210i
$358$	2.57921	+	4.46733i	0.136316	+	0.236106i
$359$	19.3820	−	19.3820i	1.02294	−	1.02294i	0.0232137	−	0.999731i	$-0.492610\pi$
$359$	19.3820	−	19.3820i	1.02294	−	1.02294i	0.999731	−	0.0232137i	$-0.00738982\pi$
$360$	−0.0148223	+	2.23602i	−0.000781204	+	0.117849i
$361$	9.50399	+	5.48713i	0.500210	+	0.288796i
$362$	−13.6208	−	7.86398i	−0.715894	−	0.413322i
$363$	−4.87234	−	4.87234i	−0.255731	−	0.255731i
$364$	1.01469	+	0.120496i	0.0531842	+	0.00631568i
$365$	−6.71152	+	11.4487i	−0.351297	+	0.599255i
$366$	2.83005	+	10.5619i	0.147929	+	0.552079i
$367$	24.1731	−	6.47717i	1.26183	−	0.338105i	0.434933	−	0.900463i	$-0.356772\pi$
$367$	24.1731	−	6.47717i	1.26183	−	0.338105i	0.826894	+	0.562357i	$0.190106\pi$
$368$	−2.23052	+	8.32442i	−0.116274	+	0.433940i
$369$	3.43387	+	3.43387i	0.178760	+	0.178760i
$370$	−0.00394647	+	0.595345i	−0.000205167	+	0.0309505i
$371$	−0.516755	+	1.92856i	−0.0268286	+	0.100126i
$372$			6.57005i			0.340641i
$373$	32.2293	+	8.63582i	1.66877	+	0.447146i	0.964779	−	0.263062i	$-0.0847324\pi$
$373$	32.2293	+	8.63582i	1.66877	+	0.447146i	0.703992	+	0.710208i	$0.251399\pi$
$374$	−2.98240	+	5.16568i	−0.154216	+	0.267111i
$375$	−2.67837	−	10.8548i	−0.138310	−	0.560539i
$376$			1.09846i			0.0566489i
$377$	1.20919	+	0.143593i	0.0622765	+	0.00739541i
$378$	−0.200395	+	0.200395i	−0.0103072	+	0.0103072i
$379$	−21.9973	+	5.89416i	−1.12993	+	0.302763i	−0.774894	−	0.632092i	$-0.782197\pi$
$379$	−21.9973	+	5.89416i	−1.12993	+	0.302763i	−0.355032	+	0.934854i	$0.615530\pi$
$380$	1.68007	−	6.10787i	0.0861858	−	0.313327i
$381$	−4.44998	+	2.56920i	−0.227979	+	0.131624i
$382$	15.2531			0.780418
$383$	−23.2101	+	13.4004i	−1.18598	+	0.684728i	−0.957391	−	0.288795i	$-0.906746\pi$
$383$	−23.2101	+	13.4004i	−1.18598	+	0.684728i	−0.228592	+	0.973522i	$0.573412\pi$
$384$	−0.965926	−	0.258819i	−0.0492922	−	0.0132078i
$385$	0.324256	+	1.24304i	0.0165256	+	0.0633513i
$386$	5.11843	+	8.86538i	0.260521	+	0.451236i
$387$	−2.95178	−	11.0162i	−0.150047	−	0.559984i
$388$	−9.11914	+	15.7948i	−0.462954	+	0.801860i
$389$	21.1897			1.07436			0.537179	−	0.843468i	$-0.319490\pi$
$389$	21.1897			1.07436			0.537179	+	0.843468i	$0.319490\pi$
$390$	−3.04000	+	7.46716i	−0.153936	+	0.378114i
$391$	25.3579			1.28240
$392$	−3.45984	+	5.99262i	−0.174748	+	0.302673i
$393$	1.69858	+	6.33917i	0.0856818	+	0.319769i
$394$	−8.15201	−	14.1197i	−0.410692	−	0.711340i
$395$	10.6856	+	6.26414i	0.537651	+	0.315183i
$396$	1.95811	+	0.524674i	0.0983987	+	0.0263659i
$397$	7.08810	−	4.09232i	0.355742	−	0.205387i	−0.311470	−	0.950256i	$-0.600821\pi$
$397$	7.08810	−	4.09232i	0.355742	−	0.205387i	0.667211	+	0.744869i	$0.267488\pi$
$398$	−1.20761			−0.0605321
$399$	0.695305	−	0.401435i	0.0348088	−	0.0200969i
$400$	4.99956	+	0.0662859i	0.249978	+	0.00331429i
$401$	22.4026	−	6.00276i	1.11873	−	0.299764i	0.348362	−	0.937360i	$-0.386738\pi$
$401$	22.4026	−	6.00276i	1.11873	−	0.299764i	0.770371	+	0.637596i	$0.220071\pi$
$402$	−9.71183	+	9.71183i	−0.484382	+	0.484382i
$403$	−8.78654	+	21.9988i	−0.437689	+	1.09584i
$404$		−	5.56591i		−	0.276915i
$405$	−1.10517	−	1.94386i	−0.0549165	−	0.0965912i
$406$	0.0478560	−	0.0828891i	0.00237506	−	0.00411372i
$407$	0.521351	+	0.139696i	0.0258424	+	0.00692446i
$408$			2.94241i			0.145671i
$409$	3.91235	−	14.6011i	0.193453	−	0.721978i	−0.799208	−	0.601054i	$-0.794748\pi$
$409$	3.91235	−	14.6011i	0.193453	−	0.721978i	0.992662	−	0.120924i	$-0.0385857\pi$
$410$	7.72910	−	7.62730i	0.381713	−	0.376686i
$411$	−8.60225	−	8.60225i	−0.424318	−	0.424318i
$412$	3.55766	−	13.2774i	0.175274	−	0.654130i
$413$	−0.597323	+	0.160052i	−0.0293923	+	0.00787565i
$414$	−2.23052	−	8.32442i	−0.109624	−	0.409123i
$415$	−12.2229	−	7.16534i	−0.599998	−	0.351733i
$416$	−2.88812	−	2.15841i	−0.141602	−	0.105825i
$417$	−8.01671	−	8.01671i	−0.392580	−	0.392580i
$418$	−4.97355	−	2.87148i	−0.243264	−	0.140449i
$419$	−27.1815	−	15.6932i	−1.32790	−	0.766664i	−0.342926	−	0.939362i	$-0.611418\pi$
$419$	−27.1815	−	15.6932i	−1.32790	−	0.766664i	−0.984975	+	0.172698i	$0.944752\pi$
$420$	0.445117	+	0.451058i	0.0217195	+	0.0220094i
$421$	−14.1897	+	14.1897i	−0.691562	+	0.691562i	−0.962576	−	0.271013i	$-0.912641\pi$
$421$	−14.1897	+	14.1897i	−0.691562	+	0.691562i	0.271013	+	0.962576i	$0.412641\pi$
$422$	−4.43748	−	7.68595i	−0.216013	−	0.374146i
$423$	−0.549231	−	0.951297i	−0.0267045	−	0.0462536i
$424$	4.98163	−	4.98163i	0.241929	−	0.241929i
$425$	−3.61903	−	14.2600i	−0.175549	−	0.691711i
$426$	8.80319	+	5.08252i	0.426516	+	0.246249i
$427$	2.68368	+	1.54942i	0.129872	+	0.0749819i
$428$	12.2688	+	12.2688i	0.593033	+	0.593033i
$429$	5.85476	+	4.37550i	0.282671	+	0.211251i
$430$	−24.6761	+	6.43694i	−1.18999	+	0.310417i
$431$	−2.99169	−	11.1651i	−0.144104	−	0.537805i	−0.999794	−	0.0203149i	$-0.993533\pi$
$431$	−2.99169	−	11.1651i	−0.144104	−	0.537805i	0.855689	−	0.517490i	$-0.173134\pi$
$432$	0.965926	−	0.258819i	0.0464731	−	0.0124524i
$433$	−9.92514	+	37.0411i	−0.476972	+	1.78008i	0.136800	+	0.990599i	$0.456318\pi$
$433$	−9.92514	+	37.0411i	−0.476972	+	1.78008i	−0.613771	+	0.789484i	$0.710348\pi$
$434$	1.31661	+	1.31661i	0.0631991	+	0.0631991i
$435$	0.530440	+	0.537519i	0.0254326	+	0.0257721i
$436$	−1.31177	+	4.89559i	−0.0628224	+	0.234456i
$437$			24.4148i			1.16792i
$438$	5.73272	+	1.53608i	0.273920	+	0.0733967i
$439$	−0.863098	+	1.49493i	−0.0411934	+	0.0713491i	−0.885887	−	0.463901i	$-0.846449\pi$
$439$	−0.863098	+	1.49493i	−0.0411934	+	0.0713491i	0.844694	+	0.535250i	$0.179783\pi$
$440$	1.20220	−	4.37059i	0.0573128	−	0.208360i
$441$		−	6.91968i		−	0.329509i
$442$	−3.93507	+	9.85223i	−0.187172	+	0.468623i
$443$	6.50168	−	6.50168i	0.308904	−	0.308904i	−0.535580	−	0.844484i	$-0.679907\pi$
$443$	6.50168	−	6.50168i	0.308904	−	0.308904i	0.844484	+	0.535580i	$0.179907\pi$
$444$	0.257180	−	0.0689112i	0.0122052	−	0.00327038i
$445$	9.56100	+	2.62991i	0.453235	+	0.124670i
$446$	2.00325	−	1.15658i	0.0948568	−	0.0547656i
$447$	2.18058			0.103138
$448$	−0.245433	+	0.141701i	−0.0115956	+	0.00669474i
$449$	2.00967	+	0.538491i	0.0948424	+	0.0254129i	0.305928	−	0.952055i	$-0.401033\pi$
$449$	2.00967	+	0.538491i	0.0948424	+	0.0254129i	−0.211086	+	0.977468i	$0.567700\pi$
$450$	−4.36289	+	2.44238i	−0.205669	+	0.115135i
$451$	−4.92223	−	8.52556i	−0.231779	−	0.401453i
$452$	0.977045	+	3.64638i	0.0459563	+	0.171511i
$453$	1.10649	−	1.91650i	0.0519875	−	0.0900450i
$454$	−28.9791			−1.36006
$455$	0.887181	+	2.10558i	0.0415917	+	0.0987113i
$456$	−2.83297			−0.132666
$457$	14.6189	−	25.3207i	0.683844	−	1.18445i	−0.289955	−	0.957040i	$-0.593640\pi$
$457$	14.6189	−	25.3207i	0.683844	−	1.18445i	0.973799	−	0.227412i	$-0.0730263\pi$
$458$	−5.79069	−	21.6112i	−0.270581	−	1.00982i
$459$	−1.47121	−	2.54820i	−0.0686700	−	0.118940i
$460$	−18.6466	+	4.86410i	−0.869403	+	0.226790i
$461$	34.4261	+	9.22444i	1.60338	+	0.429625i	0.946062	−	0.323986i	$-0.105023\pi$
$461$	34.4261	+	9.22444i	1.60338	+	0.429625i	0.657321	+	0.753611i	$0.271690\pi$
$462$	0.497538	−	0.287254i	0.0231476	−	0.0133643i
$463$	−14.7038			−0.683345			−0.341672	−	0.939819i	$-0.610993\pi$
$463$	−14.7038			−0.683345			−0.341672	+	0.939819i	$0.610993\pi$
$464$	−0.292479	+	0.168863i	−0.0135780	+	0.00783926i
$465$	−12.7713	+	7.26104i	−0.592253	+	0.336723i
$466$	−17.4707	+	4.68125i	−0.809312	+	0.216855i
$467$	30.0172	−	30.0172i	1.38903	−	1.38903i	0.561673	−	0.827359i	$-0.310158\pi$
$467$	30.0172	−	30.0172i	1.38903	−	1.38903i	0.827359	−	0.561673i	$-0.189842\pi$
$468$	3.58039	+	0.425176i	0.165504	+	0.0196538i
$469$			3.89241i			0.179735i
$470$	−2.13526	+	1.21399i	−0.0984921	+	0.0559972i
$471$	−3.42614	+	5.93426i	−0.157868	+	0.273436i
$472$	2.10769	+	0.564754i	0.0970143	+	0.0259949i
$473$			23.1196i			1.06304i
$474$	1.43369	−	5.35059i	0.0658514	−	0.245761i
$475$	13.7296	−	3.48443i	0.629958	−	0.159876i
$476$	0.589645	+	0.589645i	0.0270263	+	0.0270263i
$477$	−1.82340	+	6.80503i	−0.0834878	+	0.311581i
$478$	14.7019	−	3.93937i	0.672450	−	0.180182i
$479$	−0.0861691	−	0.321588i	−0.00393717	−	0.0146937i	0.963929	−	0.266158i	$-0.0857544\pi$
$479$	−0.0861691	−	0.321588i	−0.00393717	−	0.0146937i	−0.967866	+	0.251465i	$0.919088\pi$
$480$	−0.564407	−	2.16366i	−0.0257615	−	0.0987573i
$481$	0.953289	+	0.113204i	0.0434662	+	0.00516166i
$482$	−0.388207	−	0.388207i	−0.0176823	−	0.0176823i
$483$	−2.11516	−	1.22119i	−0.0962431	−	0.0555660i
$484$	5.96737	+	3.44526i	0.271244	+	0.156603i
$485$	−40.7811	−	0.270333i	−1.85178	−	0.0122752i
$486$	−0.707107	+	0.707107i	−0.0320750	+	0.0320750i
$487$	11.2086	+	19.4138i	0.507909	+	0.879724i	0.999958	+	0.00915677i	$0.00291473\pi$
$487$	11.2086	+	19.4138i	0.507909	+	0.879724i	−0.492049	+	0.870567i	$0.663752\pi$
$488$	−5.46723	−	9.46953i	−0.247490	−	0.428665i
$489$	−0.313900	+	0.313900i	−0.0141951	+	0.0141951i
$490$	−15.4725	−	0.102566i	−0.698978	−	0.00463344i
$491$	18.1297	+	10.4672i	0.818181	+	0.472377i	0.849789	−	0.527123i	$-0.176729\pi$
$491$	18.1297	+	10.4672i	0.818181	+	0.472377i	−0.0316078	+	0.999500i	$0.510063\pi$
$492$	−4.20562	−	2.42811i	−0.189604	−	0.109468i
$493$	0.702672	+	0.702672i	0.0316467	+	0.0316467i
$494$	−9.48579	−	3.78871i	−0.426786	−	0.170462i
$495$	1.14416	+	4.38615i	0.0514260	+	0.197143i
$496$	−1.70045	−	6.34618i	−0.0763526	−	0.284952i
$497$	2.78263	−	0.745604i	0.124818	−	0.0334449i
$498$	−1.63995	+	6.12036i	−0.0734877	+	0.274260i
$499$	−12.1023	−	12.1023i	−0.541773	−	0.541773i	0.382275	−	0.924049i	$-0.375141\pi$
$499$	−12.1023	−	12.1023i	−0.541773	−	0.541773i	−0.924049	+	0.382275i	$0.875141\pi$
$500$	5.39653	+	9.79170i	0.241340	+	0.437898i
$501$	−0.860360	+	3.21091i	−0.0384380	+	0.143453i
$502$		−	1.91001i		−	0.0852479i
$503$	−12.4376	−	3.33264i	−0.554565	−	0.148595i	−0.0293568	−	0.999569i	$-0.509346\pi$
$503$	−12.4376	−	3.33264i	−0.554565	−	0.148595i	−0.525208	+	0.850974i	$0.676013\pi$
$504$	0.141701	−	0.245433i	0.00631186	−	0.0109325i
$505$	10.8194	−	6.15130i	0.481455	−	0.273729i
$506$			17.4704i			0.776655i
$507$	11.4198	+	6.21192i	0.507171	+	0.275881i
$508$	3.63339	−	3.63339i	0.161206	−	0.161206i
$509$	−37.1303	+	9.94904i	−1.64577	+	0.440983i	−0.958425	−	0.285345i	$-0.907892\pi$
$509$	−37.1303	+	9.94904i	−1.64577	+	0.440983i	−0.687347	+	0.726329i	$0.741225\pi$
$510$	−5.71964	+	3.25187i	−0.253270	+	0.143995i
$511$	1.45663	−	0.840988i	0.0644377	−	0.0372031i
$512$	1.00000			0.0441942
$513$	2.45343	−	1.41649i	0.108321	−	0.0625394i
$514$	23.8734	+	6.39685i	1.05301	+	0.282153i
$515$	29.7412	−	7.75820i	1.31055	−	0.341867i
$516$	5.70240	+	9.87684i	0.251034	+	0.434804i
$517$	0.576335	+	2.15091i	0.0253472	+	0.0945969i
$518$	0.0377282	−	0.0653472i	0.00165768	−	0.00287119i
$519$	−17.0158			−0.746912
$520$	1.00377	−	7.99953i	0.0440183	−	0.350802i
$521$	32.4321			1.42088			0.710439	−	0.703759i	$-0.248496\pi$
$521$	32.4321			1.42088			0.710439	+	0.703759i	$0.248496\pi$
$522$	0.168863	−	0.292479i	0.00739093	−	0.0128015i
$523$	0.124890	+	0.466095i	0.00546105	+	0.0203809i	0.968603	−	0.248614i	$-0.0799751\pi$
$523$	0.124890	+	0.466095i	0.00546105	+	0.0203809i	−0.963142	+	0.268995i	$0.913308\pi$
$524$	−3.28140	−	5.68354i	−0.143348	−	0.248287i
$525$	−0.384862	+	1.36374i	−0.0167968	+	0.0595186i
$526$	−16.7079	−	4.47688i	−0.728500	−	0.195201i
$527$	−16.7418	+	9.66589i	−0.729285	+	0.421053i
$528$	−2.02718			−0.0882219
$529$	44.4022	−	25.6356i	1.93053	−	1.11459i
$530$	15.1891	+	4.17803i	0.659774	+	0.181482i
$531$	−2.10769	+	0.564754i	−0.0914659	+	0.0245082i
$532$	−0.567714	+	0.567714i	−0.0246135	+	0.0246135i
$533$	−10.8346	−	13.7546i	−0.469299	−	0.595779i
$534$		−	4.43462i		−	0.191905i
$535$	−10.2897	+	37.4079i	−0.444861	+	1.61728i
$536$	6.86730	−	11.8945i	0.296622	−	0.513765i
$537$	4.98266	+	1.33510i	0.215018	+	0.0576138i
$538$		−	15.2921i		−	0.659291i
$539$	−3.63058	+	13.5495i	−0.156380	+	0.583618i
$540$	1.57062	+	1.59159i	0.0675889	+	0.0684909i
$541$	32.4114	+	32.4114i	1.39347	+	1.39347i	0.817392	+	0.576083i	$0.195419\pi$
$541$	32.4114	+	32.4114i	1.39347	+	1.39347i	0.576083	+	0.817392i	$0.304581\pi$
$542$	−3.00059	+	11.1984i	−0.128886	+	0.481011i
$543$	−15.1920	+	4.07070i	−0.651953	+	0.174690i
$544$	−0.761552	−	2.84215i	−0.0326513	−	0.121856i
$545$	−10.9661	+	2.86058i	−0.469735	+	0.122534i
$546$	0.802697	−	0.632291i	0.0343523	−	0.0270596i
$547$	−13.0571	−	13.0571i	−0.558282	−	0.558282i	0.370536	−	0.928818i	$-0.379174\pi$
$547$	−13.0571	−	13.0571i	−0.558282	−	0.558282i	−0.928818	+	0.370536i	$0.879174\pi$
$548$	10.5356	+	6.08271i	0.450057	+	0.259840i
$549$	9.46953	+	5.46723i	0.404150	+	0.233336i
$550$	9.82447	−	2.49334i	0.418917	−	0.106317i
$551$	−0.676537	+	0.676537i	−0.0288215	+	0.0288215i
$552$	4.30904	+	7.46347i	0.183405	+	0.317666i
$553$	−0.784929	−	1.35954i	−0.0333786	−	0.0578134i
$554$	6.52608	−	6.52608i	0.277267	−	0.277267i
$555$	0.418182	+	0.423763i	0.0177508	+	0.0179878i
$556$	9.81843	+	5.66867i	0.416394	+	0.240405i
$557$	20.9339	+	12.0862i	0.887000	+	0.512110i	0.872960	−	0.487792i	$-0.162197\pi$
$557$	20.9339	+	12.0862i	0.887000	+	0.512110i	0.0140399	+	0.999901i	$0.495531\pi$
$558$	4.64573	+	4.64573i	0.196669	+	0.196669i
$559$	5.88471	+	40.6973i	0.248897	+	1.72131i
$560$	−0.546693	−	0.320484i	−0.0231020	−	0.0135429i
$561$	1.54381	+	5.76156i	0.0651795	+	0.243253i
$562$	20.7738	−	5.56632i	0.876289	−	0.234801i
$563$	9.52684	−	35.5547i	0.401509	−	1.49845i	−0.408897	−	0.912581i	$-0.634086\pi$
$563$	9.52684	−	35.5547i	0.401509	−	1.49845i	0.810405	−	0.585870i	$-0.199247\pi$
$564$	0.776730	+	0.776730i	0.0327063	+	0.0327063i
$565$	−6.00825	+	5.92912i	−0.252769	+	0.249440i
$566$	3.53183	−	13.1810i	0.148454	−	0.554037i
$567$			0.283402i			0.0119018i
$568$	−9.81868	−	2.63091i	−0.411983	−	0.110390i
$569$	7.13536	−	12.3588i	0.299130	−	0.518108i	−0.676807	−	0.736160i	$-0.736637\pi$
$569$	7.13536	−	12.3588i	0.299130	−	0.518108i	0.975937	+	0.218052i	$0.0699703\pi$
$570$	−3.13092	−	5.50690i	−0.131140	−	0.230659i
$571$			8.60624i			0.360160i	0.983652	+	0.180080i	$0.0576356\pi$
$571$			8.60624i			0.360160i	−0.983652	+	0.180080i	$0.942364\pi$
$572$	−6.78773	−	2.71108i	−0.283809	−	0.113356i
$573$	10.7856	−	10.7856i	0.450574	−	0.450574i
$574$	−1.32937	+	0.356203i	−0.0554868	+	0.0148676i
$575$	−30.0629	−	30.8708i	−1.25371	−	1.28740i
$576$	−0.866025	+	0.500000i	−0.0360844	+	0.0208333i
$577$	−2.59712			−0.108120			−0.0540598	−	0.998538i	$-0.517216\pi$
$577$	−2.59712			−0.108120			−0.0540598	+	0.998538i	$0.517216\pi$
$578$	7.22457	−	4.17111i	0.300503	−	0.173495i
$579$	9.88805	+	2.64949i	0.410933	+	0.110109i
$580$	−0.651486	−	0.381916i	−0.0270515	−	0.0158582i
$581$	0.897854	+	1.55513i	0.0372493	+	0.0645176i
$582$	4.72041	+	17.6168i	0.195667	+	0.730241i
$583$	7.14084	−	12.3683i	0.295743	−	0.512243i
$584$	−5.93495			−0.245590
$585$	3.13047	+	7.42968i	0.129429	+	0.307179i
$586$	20.9649			0.866052
$587$	9.71840	−	16.8328i	0.401121	−	0.694763i	−0.592740	−	0.805394i	$-0.701954\pi$
$587$	9.71840	−	16.8328i	0.401121	−	0.694763i	0.993862	+	0.110631i	$0.0352872\pi$
$588$	1.79095	+	6.68390i	0.0738574	+	0.275639i
$589$	−9.30638	−	16.1191i	−0.383463	−	0.664177i
$590$	1.23156	+	4.72120i	0.0507025	+	0.194369i
$591$	−15.7485	−	4.21979i	−0.647806	−	0.173579i
$592$	−0.230581	+	0.133126i	−0.00947684	+	0.00547145i
$593$	22.4817			0.923211			0.461605	−	0.887085i	$-0.347274\pi$
$593$	22.4817			0.923211			0.461605	+	0.887085i	$0.347274\pi$
$594$	1.75559	−	1.01359i	0.0720329	−	0.0415882i
$595$	−0.494528	+	1.79785i	−0.0202737	+	0.0737046i
$596$	−2.10628	+	0.564375i	−0.0862765	+	0.0231177i
$597$	−0.853910	+	0.853910i	−0.0349482	+	0.0349482i
$598$	4.44681	+	30.7531i	0.181843	+	1.25759i
$599$		−	36.4536i		−	1.48945i	−0.667370	−	0.744726i	$-0.732580\pi$
$599$		−	36.4536i		−	1.48945i	0.667370	−	0.744726i	$-0.267420\pi$
$600$	3.58209	−	3.48835i	0.146238	−	0.142411i
$601$	−21.2338	+	36.7779i	−0.866143	+	1.50020i	−0.000235150		1.00000i	$0.500075\pi$
$601$	−21.2338	+	36.7779i	−0.866143	+	1.50020i	−0.865908	+	0.500204i	$0.833258\pi$
$602$	3.12201	+	0.836539i	0.127243	+	0.0340948i
$603$			13.7346i			0.559316i
$604$	−0.572762	+	2.13758i	−0.0233054	+	0.0869768i
$605$	−0.102133	+	15.4073i	−0.00415231	+	0.626398i
$606$	−3.93570	−	3.93570i	−0.159877	−	0.159877i
$607$	−4.94673	+	18.4615i	−0.200782	+	0.749328i	0.789912	+	0.613220i	$0.210126\pi$
$607$	−4.94673	+	18.4615i	−0.200782	+	0.749328i	−0.990694	+	0.136108i	$0.956541\pi$
$608$	2.73644	−	0.733227i	0.110977	−	0.0297363i
$609$	−0.0247721	−	0.0924508i	−0.00100382	−	0.00374629i
$610$	12.3652	−	21.0930i	0.500652	−	0.854031i
$611$	1.56200	+	3.63954i	0.0631916	+	0.147240i
$612$	2.08060	+	2.08060i	0.0841032	+	0.0841032i
$613$	29.5243	+	17.0458i	1.19247	+	0.688475i	0.958867	−	0.283856i	$-0.0916138\pi$
$613$	29.5243	+	17.0458i	1.19247	+	0.688475i	0.233607	+	0.972331i	$0.424947\pi$
$614$	−23.6065	−	13.6292i	−0.952681	−	0.550031i
$615$	0.0719805	−	10.8586i	0.00290253	−	0.437862i
$616$	−0.406238	+	0.406238i	−0.0163678	+	0.0163678i
$617$	−5.81265	−	10.0678i	−0.234009	−	0.405315i	0.724976	−	0.688775i	$-0.241851\pi$
$617$	−5.81265	−	10.0678i	−0.234009	−	0.405315i	−0.958984	+	0.283460i	$0.908518\pi$
$618$	−6.87288	−	11.9042i	−0.276468	−	0.478856i
$619$	18.6543	−	18.6543i	0.749779	−	0.749779i	−0.224659	−	0.974437i	$-0.572127\pi$
$619$	18.6543	−	18.6543i	0.749779	−	0.749779i	0.974437	+	0.224659i	$0.0721267\pi$
$620$	10.4568	−	10.3191i	0.419955	−	0.414424i
$621$	−7.46347	−	4.30904i	−0.299499	−	0.172916i
$622$	−1.94560	−	1.12329i	−0.0780114	−	0.0450399i
$623$	−0.888676	−	0.888676i	−0.0356041	−	0.0356041i
$624$	−3.56844	+	0.515986i	−0.142852	+	0.0206560i
$625$	−13.0696	+	21.3116i	−0.522784	+	0.852465i
$626$	5.89787	+	22.0112i	0.235726	+	0.879743i
$627$	−5.54727	+	1.48639i	−0.221537	+	0.0593606i
$628$	1.77350	−	6.61880i	0.0707705	−	0.264119i
$629$	0.553964	+	0.553964i	0.0220880	+	0.0220880i
$630$	0.633692	+	0.00420066i	0.0252469	+	0.000167358i
$631$	4.09038	−	15.2655i	0.162835	−	0.607710i	−0.835471	−	0.549535i	$-0.814805\pi$
$631$	4.09038	−	15.2655i	0.162835	−	0.607710i	0.998306	−	0.0581754i	$-0.0185283\pi$
$632$			5.53934i			0.220343i
$633$	−8.57256	−	2.29701i	−0.340729	−	0.0912980i
$634$	−7.54228	+	13.0636i	−0.299542	+	0.518822i
$635$	11.0783	+	3.04728i	0.439630	+	0.120928i
$636$		−	7.04508i		−	0.279356i
$637$	−2.94208	+	24.7752i	−0.116570	+	0.981629i
$638$	−0.484108	+	0.484108i	−0.0191660	+	0.0191660i
$639$	9.81868	−	2.63091i	0.388421	−	0.104077i
$640$	1.10517	+	1.94386i	0.0436858	+	0.0768378i
$641$	32.1298	−	18.5501i	1.26905	−	0.732686i	0.294242	−	0.955731i	$-0.404933\pi$
$641$	32.1298	−	18.5501i	1.26905	−	0.732686i	0.974808	+	0.223045i	$0.0715996\pi$
$642$	17.3507			0.684776
$643$	−24.7354	+	14.2810i	−0.975470	+	0.563188i	−0.900899	−	0.434028i	$-0.857092\pi$
$643$	−24.7354	+	14.2810i	−0.975470	+	0.563188i	−0.0745703	+	0.997216i	$0.523759\pi$
$644$	2.35916	+	0.632134i	0.0929637	+	0.0249096i
$645$	−12.8971	+	22.0003i	−0.507821	+	0.866260i
$646$	−4.16789	−	7.21899i	−0.163983	−	0.284027i
$647$	0.180586	+	0.673956i	0.00709957	+	0.0264959i	0.969385	−	0.245547i	$-0.0789675\pi$
$647$	0.180586	+	0.673956i	0.00709957	+	0.0264959i	−0.962285	+	0.272043i	$0.912301\pi$
$648$	0.500000	−	0.866025i	0.0196419	−	0.0340207i
$649$	4.42340			0.173634
$650$	16.6593	−	6.88967i	0.653432	−	0.270235i
$651$	1.86196			0.0729761
$652$	0.221961	−	0.384448i	0.00869266	−	0.0150561i
$653$	0.139374	+	0.520152i	0.00545413	+	0.0203551i	0.968599	−	0.248627i	$-0.0799794\pi$
$653$	0.139374	+	0.520152i	0.00545413	+	0.0203551i	−0.963145	+	0.268982i	$0.913313\pi$
$654$	2.53414	+	4.38927i	0.0990929	+	0.171634i
$655$	7.42151	−	12.6599i	0.289982	−	0.494662i
$656$	4.69076	+	1.25688i	0.183143	+	0.0490731i
$657$	5.13982	−	2.96748i	0.200523	−	0.115772i
$658$	0.311306			0.0121360
$659$	−8.85861	+	5.11452i	−0.345082	+	0.199233i	−0.662517	−	0.749047i	$-0.730512\pi$
$659$	−8.85861	+	5.11452i	−0.345082	+	0.199233i	0.317435	+	0.948280i	$0.397179\pi$
$660$	−2.24039	−	3.94056i	−0.0872070	−	0.153386i
$661$	23.1956	−	6.21523i	0.902203	−	0.241745i	0.222241	−	0.974992i	$-0.428663\pi$
$661$	23.1956	−	6.21523i	0.902203	−	0.241745i	0.679962	+	0.733247i	$0.261996\pi$
$662$	17.7735	−	17.7735i	0.690787	−	0.690787i
$663$	4.18406	+	9.74909i	0.162496	+	0.378623i
$664$		−	6.33627i		−	0.245895i
$665$	−1.73098	−	0.476135i	−0.0671245	−	0.0184637i
$666$	0.133126	−	0.230581i	0.00515854	−	0.00893485i
$667$	2.81137	+	0.753305i	0.108857	+	0.0291681i
$668$		−	3.32418i		−	0.128616i
$669$	0.598689	−	2.23434i	0.0231467	−	0.0863845i
$670$	30.7108	+	0.203578i	1.18646	+	0.00786491i
$671$	−15.6739	−	15.6739i	−0.605082	−	0.605082i
$672$	−0.0733498	+	0.273745i	−0.00282953	+	0.0105599i
$673$	19.1829	−	5.14003i	0.739445	−	0.198134i	0.130614	−	0.991433i	$-0.458305\pi$
$673$	19.1829	−	5.14003i	0.739445	−	0.198134i	0.608831	+	0.793300i	$0.291639\pi$
$674$	9.21538	+	34.3923i	0.354963	+	1.32474i
$675$	−1.35801	+	4.81205i	−0.0522698	+	0.185216i
$676$	−12.6385	−	3.04459i	−0.486094	−	0.117100i
$677$	−14.3934	−	14.3934i	−0.553184	−	0.553184i	0.374175	−	0.927358i	$-0.377926\pi$
$677$	−14.3934	−	14.3934i	−0.553184	−	0.553184i	−0.927358	+	0.374175i	$0.877926\pi$
$678$	3.26926	+	1.88751i	0.125555	+	0.0724893i
$679$	4.47628	+	2.58438i	0.171784	+	0.0991794i
$680$	4.68310	−	4.62142i	0.179589	−	0.177223i
$681$	−20.4913	+	20.4913i	−0.785228	+	0.785228i
$682$	−6.65935	−	11.5343i	−0.255000	−	0.441672i
$683$	−22.5511	−	39.0596i	−0.862894	−	1.49458i	−0.869124	−	0.494595i	$-0.835316\pi$
$683$	−22.5511	−	39.0596i	−0.862894	−	1.49458i	0.00622989	−	0.999981i	$-0.498017\pi$
$684$	−2.00321	+	2.00321i	−0.0765948	+	0.0765948i
$685$	−0.180319	+	27.2021i	−0.00688965	+	1.03934i
$686$	3.41635	+	1.97243i	0.130437	+	0.0753078i
$687$	−19.3760	−	11.1868i	−0.739242	−	0.426801i
$688$	−8.06441	−	8.06441i	−0.307453	−	0.307453i
$689$	9.42183	−	23.5894i	0.358943	−	0.898685i
$690$	−9.74571	+	16.6246i	−0.371013	+	0.632887i
$691$	−5.71992	−	21.3470i	−0.217596	−	0.812079i	−0.985237	−	0.171198i	$-0.945236\pi$
$691$	−5.71992	−	21.3470i	−0.217596	−	0.812079i	0.767641	−	0.640880i	$-0.221431\pi$
$692$	16.4360	−	4.40402i	0.624804	−	0.167416i
$693$	0.148693	−	0.554932i	0.00564840	−	0.0210801i
$694$	−9.34845	−	9.34845i	−0.354862	−	0.354862i
$695$	−0.168046	+	25.3505i	−0.00637433	+	0.961600i
$696$	−0.0874099	+	0.326218i	−0.00331326	+	0.0123653i
$697$		−	14.2890i		−	0.541235i
$698$	13.9840	+	3.74700i	0.529301	+	0.141826i
$699$	−9.04348	+	15.6638i	−0.342056	+	0.592458i
$700$	0.0187855	−	1.41688i	0.000710026	−	0.0535532i
$701$		−	3.18282i		−	0.120213i	−0.998192	−	0.0601066i	$-0.980856\pi$
$701$		−	3.18282i		−	0.120213i	0.998192	−	0.0601066i	$-0.0191441\pi$
$702$	2.83237	−	2.23108i	0.106901	−	0.0842066i
$703$	−0.533361	+	0.533361i	−0.0201161	+	0.0201161i
$704$	1.95811	−	0.524674i	0.0737990	−	0.0197744i
$705$	−0.651434	+	2.36828i	−0.0245344	+	0.0891945i
$706$	15.3403	−	8.85675i	0.577341	−	0.333328i
$707$	−1.57739			−0.0593238
$708$	1.88970	−	1.09102i	0.0710194	−	0.0410031i
$709$	7.06062	+	1.89189i	0.265167	+	0.0710513i	0.388953	−	0.921258i	$-0.372837\pi$
$709$	7.06062	+	1.89189i	0.265167	+	0.0710513i	−0.123786	+	0.992309i	$0.539504\pi$
$710$	−5.73722	−	21.9938i	−0.215314	−	0.825411i
$711$	−2.76967	−	4.79721i	−0.103871	−	0.179909i
$712$	1.14776	+	4.28351i	0.0430142	+	0.160531i
$713$	−28.3106	+	49.0354i	−1.06024	+	1.83639i
$714$	0.833884			0.0312073
$715$	−2.23165	−	16.1906i	−0.0834590	−	0.605494i
$716$	−5.15843			−0.192780
$717$	7.61027	−	13.1814i	0.284211	−	0.492268i
$718$	7.09431	+	26.4763i	0.264757	+	0.988088i
$719$	−0.153719	−	0.266250i	−0.00573277	−	0.00992945i	0.863145	−	0.504957i	$-0.168491\pi$
$719$	−0.153719	−	0.266250i	−0.00573277	−	0.00992945i	−0.868878	+	0.495027i	$0.835158\pi$
$720$	−1.92904	−	1.13085i	−0.0718910	−	0.0421441i
$721$	−3.76283	−	1.00825i	−0.140135	−	0.0375491i
$722$	−9.50399	+	5.48713i	−0.353702	+	0.204210i
$723$	−0.549007			−0.0204178
$724$	13.6208	−	7.86398i	0.506214	−	0.292263i
$725$	0.0223864	−	1.68848i	0.000831412	−	0.0627086i
$726$	6.65574	−	1.78340i	0.247018	−	0.0661881i
$727$	−27.8151	+	27.8151i	−1.03160	+	1.03160i	−0.0321192	+	0.999484i	$0.510226\pi$
$727$	−27.8151	+	27.8151i	−1.03160	+	1.03160i	−0.999484	+	0.0321192i	$0.989774\pi$
$728$	−0.611697	+	0.818500i	−0.0226710	+	0.0303356i
$729$			1.00000i			0.0370370i
$730$	−6.55915	−	11.5367i	−0.242765	−	0.426993i
$731$	−16.7788	+	29.0617i	−0.620586	+	1.07489i
$732$	−10.5619	−	2.83005i	−0.390378	−	0.104602i
$733$		−	5.13574i		−	0.189693i	−0.995492	−	0.0948465i	$-0.969764\pi$
$733$		−	5.13574i		−	0.189693i	0.995492	−	0.0948465i	$-0.0302360\pi$
$734$	−6.47717	+	24.1731i	−0.239077	+	0.892246i
$735$	−11.0133	+	10.8682i	−0.406230	+	0.400880i
$736$	−6.09390	−	6.09390i	−0.224624	−	0.224624i
$737$	7.20618	−	26.8938i	0.265443	−	0.990647i
$738$	−4.69076	+	1.25688i	−0.172669	+	0.0462666i
$739$	2.16635	+	8.08492i	0.0796904	+	0.297409i	0.994256	−	0.107029i	$-0.0341339\pi$
$739$	2.16635	+	8.08492i	0.0796904	+	0.297409i	−0.914565	+	0.404438i	$0.867467\pi$
$740$	−0.513611	−	0.301090i	−0.0188807	−	0.0110683i
$741$	−9.38649	+	4.02844i	−0.344821	+	0.147989i
$742$	−1.41180	−	1.41180i	−0.0518289	−	0.0518289i
$743$	−22.9476	−	13.2488i	−0.841867	−	0.486052i	0.0160317	−	0.999871i	$-0.494897\pi$
$743$	−22.9476	−	13.2488i	−0.841867	−	0.486052i	−0.857898	+	0.513820i	$0.828230\pi$
$744$	−5.68983	−	3.28502i	−0.208599	−	0.120435i
$745$	−3.42487	−	3.47058i	−0.125477	−	0.127152i
$746$	−23.5935	+	23.5935i	−0.863819	+	0.863819i
$747$	3.16813	+	5.48737i	0.115916	+	0.200772i
$748$	−2.98240	−	5.16568i	−0.109048	−	0.188876i
$749$	3.47699	−	3.47699i	0.127046	−	0.127046i
$750$	10.7397	+	3.10786i	0.392158	+	0.113483i
$751$	−11.7587	−	6.78890i	−0.429081	−	0.247730i	0.269874	−	0.962896i	$-0.413018\pi$
$751$	−11.7587	−	6.78890i	−0.429081	−	0.247730i	−0.698955	+	0.715165i	$0.746351\pi$
$752$	−0.951297	−	0.549231i	−0.0346902	−	0.0200284i
$753$	−1.35058	−	1.35058i	−0.0492179	−	0.0492179i
$754$	−0.728951	+	0.975394i	−0.0265468	+	0.0355218i
$755$	−4.78815	+	1.24902i	−0.174259	+	0.0454566i
$756$	−0.0733498	−	0.273745i	−0.00266771	−	0.00995601i
$757$	−6.16262	+	1.65127i	−0.223984	+	0.0600164i	−0.369066	−	0.929403i	$-0.620322\pi$
$757$	−6.16262	+	1.65127i	−0.223984	+	0.0600164i	0.145081	+	0.989420i	$0.453656\pi$
$758$	5.89416	−	21.9973i	0.214085	−	0.798978i
$759$	12.3535	+	12.3535i	0.448402	+	0.448402i
$760$	4.44953	+	4.50892i	0.161402	+	0.163556i
$761$	−4.86746	+	18.1656i	−0.176445	+	0.658503i	0.819856	+	0.572570i	$0.194054\pi$
$761$	−4.86746	+	18.1656i	−0.176445	+	0.658503i	−0.996301	+	0.0859325i	$0.972613\pi$
$762$		−	5.13839i		−	0.186144i
$763$	1.38742	+	0.371758i	0.0502279	+	0.0134585i
$764$	−7.62656	+	13.2096i	−0.275919	+	0.477906i
$765$	−1.74497	+	6.34381i	−0.0630896	+	0.229361i
$766$		−	26.8008i		−	0.968351i
$767$	7.78648	−	1.12590i	0.281153	−	0.0406540i
$768$	0.707107	−	0.707107i	0.0255155	−	0.0255155i
$769$	3.37108	−	0.903277i	0.121564	−	0.0325730i	−0.197524	−	0.980298i	$-0.563290\pi$
$769$	3.37108	−	0.903277i	0.121564	−	0.0325730i	0.319088	+	0.947725i	$0.396623\pi$
$770$	−1.23863	−	0.340707i	−0.0446373	−	0.0122782i
$771$	21.4043	−	12.3578i	0.770857	−	0.445054i
$772$	−10.2369			−0.368433
$773$	22.8980	−	13.2202i	0.823584	−	0.475496i	−0.0280669	−	0.999606i	$-0.508935\pi$
$773$	22.8980	−	13.2202i	0.823584	−	0.475496i	0.851651	+	0.524110i	$0.175602\pi$
$774$	11.0162	+	2.95178i	0.395969	+	0.106099i
$775$	31.6154	+	8.92218i	1.13566	+	0.320494i
$776$	−9.11914	−	15.7948i	−0.327358	−	0.567001i
$777$	−0.0195296	−	0.0728853i	−0.000700619	−	0.00261474i
$778$	−10.5948	+	18.3508i	−0.379843	+	0.657908i
$779$	13.7576			0.492916
$780$	−4.94675	−	6.36629i	−0.177122	−	0.227950i
$781$	−20.6064			−0.737356
$782$	−12.6790	+	21.9606i	−0.453399	+	0.785309i
$783$	−0.0874099	−	0.326218i	−0.00312377	−	0.0116581i
$784$	−3.45984	−	5.99262i	−0.123566	−	0.214022i
$785$	14.8261	−	3.86748i	0.529165	−	0.138036i
$786$	−6.33917	−	1.69858i	−0.226111	−	0.0605862i
$787$	−29.1961	+	16.8564i	−1.04073	+	0.600865i	−0.920040	−	0.391825i	$-0.871844\pi$
$787$	−29.1961	+	16.8564i	−1.04073	+	0.600865i	−0.120689	+	0.992690i	$0.538510\pi$
$788$	16.3040			0.580807
$789$	−14.9799	+	8.64866i	−0.533299	+	0.307900i
$790$	−10.7677	+	6.12193i	−0.383098	+	0.217808i
$791$	1.03339	−	0.276896i	0.0367432	−	0.00984530i
$792$	−1.43344	+	1.43344i	−0.0509349	+	0.0509349i
$793$	−31.5801	−	23.6011i	−1.12144	−	0.838098i
$794$			8.18463i			0.290462i
$795$	13.6947	−	7.78604i	0.485699	−	0.276142i
$796$	0.603806	−	1.04582i	0.0214013	−	0.0370682i
$797$	−44.1485	−	11.8296i	−1.56382	−	0.419024i	−0.629949	−	0.776636i	$-0.716924\pi$
$797$	−44.1485	−	11.8296i	−1.56382	−	0.419024i	−0.933870	+	0.357612i	$0.883591\pi$
$798$			0.802869i			0.0284213i
$799$	−0.836537	+	3.12200i	−0.0295945	+	0.110448i
$800$	−2.55719	+	4.29660i	−0.0904102	+	0.151908i
$801$	−3.13575	−	3.13575i	−0.110796	−	0.110796i
$802$	−6.00276	+	22.4026i	−0.211965	+	0.791064i
$803$	−11.6213	+	3.11391i	−0.410106	+	0.109888i
$804$	−3.55477	−	13.2666i	−0.125367	−	0.467877i
$805$	1.37849	+	5.28449i	0.0485856	+	0.186254i
$806$	−14.6583	−	18.6088i	−0.516316	−	0.655466i
$807$	−10.8132	−	10.8132i	−0.380642	−	0.380642i
$808$	4.82022	+	2.78296i	0.169575	+	0.0979041i
$809$	23.8162	+	13.7503i	0.837332	+	0.483434i	0.856356	−	0.516385i	$-0.172723\pi$
$809$	23.8162	+	13.7503i	0.837332	+	0.483434i	−0.0190245	+	0.999819i	$0.506056\pi$
$810$	2.23602	+	0.0148223i	0.0785657	+	0.000520802i
$811$	−37.4377	+	37.4377i	−1.31462	+	1.31462i	−0.396643	+	0.917973i	$0.629825\pi$
$811$	−37.4377	+	37.4377i	−1.31462	+	1.31462i	−0.917973	+	0.396643i	$0.870175\pi$
$812$	0.0478560	+	0.0828891i	0.00167942	+	0.00290884i
$813$	5.79670	+	10.0402i	0.203299	+	0.352124i
$814$	−0.381656	+	0.381656i	−0.0133770	+	0.0133770i
$815$	0.992618	+	0.00657994i	0.0347699	+	0.000230485i
$816$	−2.54820	−	1.47121i	−0.0892049	−	0.0515025i
$817$	−27.9808	−	16.1547i	−0.978925	−	0.565183i
$818$	10.6887	+	10.6887i	0.373723	+	0.373723i
$819$	0.120496	−	1.01469i	0.00421045	−	0.0354561i
$820$	2.74089	+	10.5072i	0.0957160	+	0.366929i
$821$	5.81580	+	21.7048i	0.202973	+	0.757504i	0.990058	+	0.140660i	$0.0449225\pi$
$821$	5.81580	+	21.7048i	0.202973	+	0.757504i	−0.787085	+	0.616844i	$0.788411\pi$
$822$	11.7509	−	3.14864i	0.409859	−	0.109821i
$823$	3.92044	−	14.6313i	0.136658	−	0.510015i	−0.863328	−	0.504644i	$-0.831624\pi$
$823$	3.92044	−	14.6313i	0.136658	−	0.510015i	0.999986	−	0.00537066i	$-0.00170954\pi$
$824$	9.71972	+	9.71972i	0.338603	+	0.338603i
$825$	5.18389	−	8.71001i	0.180480	−	0.303244i
$826$	0.160052	−	0.597323i	0.00556893	−	0.0207835i
$827$			45.9564i			1.59806i	0.601292	+	0.799030i	$0.294653\pi$
$827$			45.9564i			1.59806i	−0.601292	+	0.799030i	$0.705347\pi$
$828$	8.32442	+	2.23052i	0.289294	+	0.0775160i
$829$	−19.3436	+	33.5040i	−0.671829	+	1.16364i	0.305556	+	0.952174i	$0.401158\pi$
$829$	−19.3436	+	33.5040i	−0.671829	+	1.16364i	−0.977385	+	0.211468i	$0.932176\pi$
$830$	12.3168	−	7.00267i	0.427523	−	0.243066i
$831$		−	9.22927i		−	0.320160i
$832$	3.31330	−	1.42198i	0.114868	−	0.0492984i
$833$	−14.3971	+	14.3971i	−0.498829	+	0.498829i
$834$	10.9510	−	2.93432i	0.379203	−	0.101607i
$835$	6.46173	−	3.67379i	0.223617	−	0.127137i
$836$	4.97355	−	2.87148i	0.172014	−	0.0993122i
$837$	6.57005			0.227094
$838$	27.1815	−	15.6932i	0.938968	−	0.542113i
$839$	−25.7320	−	6.89488i	−0.888368	−	0.238038i	−0.214354	−	0.976756i	$-0.568765\pi$
$839$	−25.7320	−	6.89488i	−0.888368	−	0.238038i	−0.674014	+	0.738718i	$0.735431\pi$
$840$	−0.613186	+	0.159954i	−0.0211569	+	0.00551893i
$841$	−14.4430	−	25.0160i	−0.498033	−	0.862619i
$842$	−5.19378	−	19.3835i	−0.178990	−	0.667998i
$843$	10.7533	−	18.6253i	0.370363	−	0.641488i
$844$	8.87497			0.305489
$845$	−8.04941	−	27.9322i	−0.276908	−	0.960896i
$846$	1.09846			0.0377659
$847$	0.976393	−	1.69116i	0.0335493	−	0.0581090i
$848$	1.82340	+	6.80503i	0.0626159	+	0.233686i
$849$	−6.82296	−	11.8177i	−0.234163	−	0.405583i
$850$	14.1590	+	3.99582i	0.485651	+	0.137055i
$851$	2.21640	+	0.593882i	0.0759771	+	0.0203580i
$852$	−8.80319	+	5.08252i	−0.301592	+	0.174124i
$853$	−27.3984			−0.938102			−0.469051	−	0.883171i	$-0.655404\pi$
$853$	−27.3984			−0.938102			−0.469051	+	0.883171i	$0.655404\pi$
$854$	−2.68368	+	1.54942i	−0.0918336	+	0.0530202i
$855$	−6.10787	−	1.68007i	−0.208885	−	0.0574572i
$856$	−16.7594	+	4.49068i	−0.572826	+	0.153488i
$857$	21.4071	−	21.4071i	0.731252	−	0.731252i	−0.239616	−	0.970868i	$-0.577022\pi$
$857$	21.4071	−	21.4071i	0.731252	−	0.731252i	0.970868	+	0.239616i	$0.0770215\pi$
$858$	−6.71667	+	2.88262i	−0.229303	+	0.0984112i
$859$			40.1452i			1.36974i	0.728667	+	0.684869i	$0.240140\pi$
$859$			40.1452i			1.36974i	−0.728667	+	0.684869i	$0.759860\pi$
$860$	6.76351	−	24.5886i	0.230634	−	0.838466i
$861$	−0.688132	+	1.19188i	−0.0234515	+	0.0406191i
$862$	11.1651	+	2.99169i	0.380286	+	0.101897i
$863$			29.3385i			0.998695i	0.866402	+	0.499347i	$0.166427\pi$
$863$			29.3385i			0.998695i	−0.866402	+	0.499347i	$0.833573\pi$
$864$	−0.258819	+	0.965926i	−0.00880520	+	0.0328615i
$865$	26.7255	+	27.0822i	0.908693	+	0.920821i
$866$	−27.1160	−	27.1160i	−0.921439	−	0.921439i
$867$	2.15912	−	8.05796i	0.0733277	−	0.273663i
$868$	−1.79852	+	0.481911i	−0.0610457	+	0.0163571i
$869$	2.90635	+	10.8466i	0.0985911	+	0.367947i
$870$	−0.730725	+	0.190615i	−0.0247739	+	0.00646245i
$871$	5.83962	−	49.1753i	0.197868	−	1.66624i
$872$	−3.58382	−	3.58382i	−0.121364	−	0.121364i
$873$	15.7948	+	9.11914i	0.534573	+	0.308636i
$874$	−21.1438	−	12.2074i	−0.715200	−	0.412921i
$875$	2.77499	−	1.52939i	0.0938116	−	0.0517027i
$876$	−4.19665	+	4.19665i	−0.141792	+	0.141792i
$877$	−17.4275	−	30.1854i	−0.588486	−	1.01929i	−0.994431	−	0.105390i	$-0.966391\pi$
$877$	−17.4275	−	30.1854i	−0.588486	−	1.01929i	0.405945	−	0.913898i	$-0.366942\pi$
$878$	−0.863098	−	1.49493i	−0.0291281	−	0.0504514i
$879$	14.8244	−	14.8244i	0.500015	−	0.500015i
$880$	3.18394	+	3.22644i	0.107331	+	0.108763i
$881$	19.2390	+	11.1076i	0.648178	+	0.374226i	0.787758	−	0.615985i	$-0.211242\pi$
$881$	19.2390	+	11.1076i	0.648178	+	0.374226i	−0.139580	+	0.990211i	$0.544575\pi$
$882$	5.99262	+	3.45984i	0.201782	+	0.116499i
$883$	−26.5316	−	26.5316i	−0.892858	−	0.892858i	0.101933	−	0.994791i	$-0.467497\pi$
$883$	−26.5316	−	26.5316i	−0.892858	−	0.892858i	−0.994791	+	0.101933i	$0.967497\pi$
$884$	−6.56474	−	8.33398i	−0.220796	−	0.280302i
$885$	4.20924	+	2.46755i	0.141492	+	0.0829458i
$886$	2.37978	+	8.88146i	0.0799503	+	0.298379i
$887$	11.3471	−	3.04044i	0.380998	−	0.102088i	−0.0632369	−	0.997999i	$-0.520142\pi$
$887$	11.3471	−	3.04044i	0.380998	−	0.102088i	0.444234	+	0.895911i	$0.353476\pi$
$888$	−0.0689112	+	0.257180i	−0.00231251	+	0.00863040i
$889$	−1.02971	−	1.02971i	−0.0345354	−	0.0345354i
$890$	−7.05807	+	6.96511i	−0.236587	+	0.233471i
$891$	0.524674	−	1.95811i	0.0175772	−	0.0655991i
$892$			2.31316i			0.0774502i
$893$	−3.00588	−	0.805423i	−0.100588	−	0.0269525i
$894$	−1.09029	+	1.88844i	−0.0364647	+	0.0631588i
$895$	−5.70096	−	10.0273i	−0.190562	−	0.335175i
$896$		−	0.283402i		−	0.00946779i
$897$	24.8901	+	18.6013i	0.831055	+	0.621081i
$898$	−1.47118	+	1.47118i	−0.0490940	+	0.0490940i
$899$	−2.14327	+	0.574287i	−0.0714820	+	0.0191535i
$900$	0.0662859	−	4.99956i	0.00220953	−	0.166652i
$901$	17.9523	−	10.3648i	0.598078	−	0.345300i
$902$	9.84447			0.327785
$903$	2.79911	−	1.61607i	0.0931487	−	0.0537794i
$904$	−3.64638	−	0.977045i	−0.121277	−	0.0324960i
$905$	30.3398	+	17.7859i	1.00853	+	0.591223i
$906$	1.10649	+	1.91650i	0.0367607	+	0.0636714i
$907$	−12.1517	−	45.3509i	−0.403492	−	1.50585i	−0.806820	−	0.590797i	$-0.798813\pi$
$907$	−12.1517	−	45.3509i	−0.403492	−	1.50585i	0.403328	−	0.915055i	$-0.367853\pi$
$908$	14.4895	−	25.0966i	0.480852	−	0.832861i
$909$	−5.56591			−0.184610
$910$	−2.26708	−	0.284470i	−0.0751530	−	0.00943010i
$911$	−47.4558			−1.57228			−0.786141	−	0.618048i	$-0.787924\pi$
$911$	−47.4558			−1.57228			−0.786141	+	0.618048i	$0.787924\pi$
$912$	1.41649	−	2.45343i	0.0469046	−	0.0812411i
$913$	−3.32447	−	12.4071i	−0.110024	−	0.410615i
$914$	14.6189	+	25.3207i	0.483551	+	0.837534i
$915$	−6.17149	−	23.6585i	−0.204023	−	0.782127i
$916$	21.6112	+	5.79069i	0.714053	+	0.191330i
$917$	−1.61073	+	0.929953i	−0.0531909	+	0.0307098i
$918$	2.94241			0.0971140
$919$	34.9510	−	20.1790i	1.15293	−	0.665643i	0.203328	−	0.979111i	$-0.434824\pi$
$919$	34.9510	−	20.1790i	1.15293	−	0.665643i	0.949599	+	0.313468i	$0.101491\pi$
$920$	5.11088	−	18.5805i	0.168501	−	0.612581i
$921$	−26.3296	+	7.05500i	−0.867591	+	0.232470i
$922$	−25.2016	+	25.2016i	−0.829972	+	0.829972i
$923$	−36.2734	+	5.24502i	−1.19395	+	0.172642i
$924$			0.574507i			0.0188999i
$925$	0.0176488	−	1.33115i	0.000580288	−	0.0437678i
$926$	7.35191	−	12.7339i	0.241599	−	0.418462i
$927$	−13.2774	−	3.55766i	−0.436087	−	0.116849i
$928$		−	0.337726i		−	0.0110864i
$929$	9.95672	−	37.1590i	0.326669	−	1.21915i	−0.585954	−	0.810344i	$-0.699280\pi$
$929$	9.95672	−	37.1590i	0.326669	−	1.21915i	0.912623	−	0.408802i	$-0.134053\pi$
$930$	0.0973832	−	14.6908i	0.00319332	−	0.481729i
$931$	−13.8616	−	13.8616i	−0.454296	−	0.454296i
$932$	4.68125	−	17.4707i	0.153339	−	0.572270i
$933$	−2.17003	+	0.581459i	−0.0710437	+	0.0190361i
$934$	10.9871	+	41.0043i	0.359508	+	1.34170i
$935$	6.74528	−	11.5063i	0.220594	−	0.376298i
$936$	−2.15841	+	2.88812i	−0.0705498	+	0.0944013i
$937$	−35.6826	−	35.6826i	−1.16570	−	1.16570i	−0.983208	−	0.182491i	$-0.941584\pi$
$937$	−35.6826	−	35.6826i	−1.16570	−	1.16570i	−0.182491	−	0.983208i	$-0.558416\pi$
$938$	−3.37092	−	1.94620i	−0.110065	−	0.0635458i
$939$	19.7347	+	11.3938i	0.644016	+	0.371823i
$940$	0.0162817	−	2.45618i	0.000531052	−	0.0801119i
$941$	1.95375	−	1.95375i	0.0636904	−	0.0636904i	−0.674544	−	0.738235i	$-0.735660\pi$
$941$	1.95375	−	1.95375i	0.0636904	−	0.0636904i	0.738235	+	0.674544i	$0.235660\pi$
$942$	−3.42614	−	5.93426i	−0.111630	−	0.193348i
$943$	−20.9257	−	36.2443i	−0.681434	−	1.18028i
$944$	−1.54294	+	1.54294i	−0.0502183	+	0.0502183i
$945$	0.451058	−	0.445117i	0.0146729	−	0.0144797i
$946$	−20.0222	−	11.5598i	−0.650977	−	0.375842i
$947$	22.4838	+	12.9811i	0.730627	+	0.421828i	0.818651	−	0.574291i	$-0.194722\pi$
$947$	22.4838	+	12.9811i	0.730627	+	0.421828i	−0.0880247	+	0.996118i	$0.528055\pi$
$948$	3.91691	+	3.91691i	0.127215	+	0.127215i
$949$	−19.6643	+	8.43941i	−0.638330	+	0.273955i
$950$	−3.84720	+	13.6324i	−0.124820	+	0.442294i
$951$	3.90417	+	14.5706i	0.126601	+	0.472483i
$952$	−0.805470	+	0.215825i	−0.0261054	+	0.00699493i
$953$	11.2019	−	41.8061i	0.362865	−	1.35423i	−0.507426	−	0.861695i	$-0.669403\pi$
$953$	11.2019	−	41.8061i	0.362865	−	1.35423i	0.870291	−	0.492537i	$-0.163930\pi$
$954$	−4.98163	−	4.98163i	−0.161286	−	0.161286i
$955$	−34.1063	−	0.226086i	−1.10365	−	0.00731598i
$956$	−3.93937	+	14.7019i	−0.127408	+	0.475494i
$957$			0.684632i			0.0221310i
$958$	0.321588	+	0.0861691i	0.0103900	+	0.00278400i
$959$	1.72385	−	2.98580i	0.0556660	−	0.0964164i
$960$	2.15599	+	0.593042i	0.0695843	+	0.0191403i
$961$		−	12.1655i		−	0.392436i
$962$	−0.574682	+	0.768970i	−0.0185285	+	0.0247926i
$963$	12.2688	−	12.2688i	0.395355	−	0.395355i
$964$	0.530300	−	0.142094i	0.0170798	−	0.00457652i
$965$	−11.3135	−	19.8990i	−0.364194	−	0.640572i
$966$	2.11516	−	1.22119i	0.0680542	−	0.0392911i
$967$	26.5271			0.853055			0.426528	−	0.904475i	$-0.359737\pi$
$967$	26.5271			0.853055			0.426528	+	0.904475i	$0.359737\pi$
$968$	−5.96737	+	3.44526i	−0.191799	+	0.110735i
$969$	−8.05174	−	2.15746i	−0.258659	−	0.0693075i
$970$	20.6247	−	35.1823i	0.662219	−	1.12964i
$971$	−16.9027	−	29.2763i	−0.542433	−	0.939521i	−0.998764	−	0.0497112i	$-0.984170\pi$
$971$	−16.9027	−	29.2763i	−0.542433	−	0.939521i	0.456331	−	0.889810i	$-0.349163\pi$
$972$	−0.258819	−	0.965926i	−0.00830162	−	0.0309821i
$973$	1.60651	−	2.78256i	0.0515024	−	0.0892048i
$974$	−22.4172			−0.718292
$975$	6.90817	−	16.6516i	0.221239	−	0.533279i
$976$	10.9345			0.350004
$977$	1.10485	−	1.91365i	0.0353471	−	0.0612231i	−0.847811	−	0.530299i	$-0.822080\pi$
$977$	1.10485	−	1.91365i	0.0353471	−	0.0612231i	0.883158	+	0.469076i	$0.155413\pi$
$978$	−0.114895	−	0.428796i	−0.00367395	−	0.0137114i
$979$	4.49489	+	7.78538i	0.143657	+	0.248822i
$980$	7.82510	−	13.3483i	0.249964	−	0.426397i
$981$	4.89559	+	1.31177i	0.156304	+	0.0418816i
$982$	−18.1297	+	10.4672i	−0.578541	+	0.334021i
$983$	30.8534			0.984071			0.492035	−	0.870575i	$-0.336253\pi$
$983$	30.8534			0.984071			0.492035	+	0.870575i	$0.336253\pi$
$984$	4.20562	−	2.42811i	0.134070	−	0.0774055i
$985$	18.0188	+	31.6927i	0.574125	+	1.00981i
$986$	−0.959868	+	0.257196i	−0.0305684	+	0.00819078i
$987$	0.220127	−	0.220127i	0.00700671	−	0.00700671i
$988$	8.02402	−	6.32058i	0.255278	−	0.201084i
$989$			98.2873i			3.12536i
$990$	−4.37059	−	1.20220i	−0.138907	−	0.0382086i
$991$	−5.98746	+	10.3706i	−0.190198	+	0.329433i	−0.945316	−	0.326157i	$-0.894246\pi$
$991$	−5.98746	+	10.3706i	−0.190198	+	0.329433i	0.755118	+	0.655589i	$0.227580\pi$
$992$	6.34618	+	1.70045i	0.201491	+	0.0539895i
$993$		−	25.1355i		−	0.797652i
$994$	−0.745604	+	2.78263i	−0.0236491	+	0.0882597i
$995$	2.70024	+	0.0178996i	0.0856034	+	0.000567455i
$996$	−4.48042	−	4.48042i	−0.141967	−	0.141967i
$997$	−11.7156	+	43.7233i	−0.371038	+	1.38473i	0.488011	+	0.872837i	$0.337723\pi$
$997$	−11.7156	+	43.7233i	−0.371038	+	1.38473i	−0.859049	+	0.511894i	$0.828944\pi$
$998$	16.5321	−	4.42975i	0.523313	−	0.140221i
$999$	−0.0689112	−	0.257180i	−0.00218025	−	0.00813682i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bn.c.97.7	yes	32
5.3	odd	4		390.2.bd.c.253.4	yes	32
13.11	odd	12		390.2.bd.c.37.4	✓	32
65.63	even	12	inner	390.2.bn.c.193.7	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.c.37.4	✓	32	13.11	odd	12
390.2.bd.c.253.4	yes	32	5.3	odd	4
390.2.bn.c.97.7	yes	32	1.1	even	1	trivial
390.2.bn.c.193.7	yes	32	65.63	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	390.bn (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.13085 - 1.92904i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.245433 + 0.141701i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.13085 - 1.92904i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.245433 + 0.141701i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(1.10517 + 1.94386i) q^{10} +(1.95811 - 0.524674i) q^{11} +(0.707107 - 0.707107i) q^{12} +(3.31330 - 1.42198i) q^{13} -0.283402i q^{14} +(2.15599 + 0.593042i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.84215 + 0.761552i) q^{17} -1.00000i q^{18} +(-0.733227 + 2.73644i) q^{19} +(-2.23602 - 0.0148223i) q^{20} +(-0.200395 - 0.200395i) q^{21} +(-0.524674 + 1.95811i) q^{22} +(8.32442 - 2.23052i) q^{23} +(0.258819 + 0.965926i) q^{24} +(-2.44238 - 4.36289i) q^{25} +(-0.425176 + 3.58039i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(0.245433 + 0.141701i) q^{28} +(0.292479 + 0.168863i) q^{29} +(-1.59159 + 1.57062i) q^{30} +(-4.64573 + 4.64573i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(1.01359 + 1.75559i) q^{33} +(-2.08060 + 2.08060i) q^{34} +(-0.00420066 + 0.633692i) q^{35} +(0.866025 + 0.500000i) q^{36} +(0.230581 + 0.133126i) q^{37} +(-2.00321 - 2.00321i) q^{38} +(2.23108 + 2.83237i) q^{39} +(1.13085 - 1.92904i) q^{40} +(-1.25688 - 4.69076i) q^{41} +(0.273745 - 0.0733498i) q^{42} +(-2.95178 + 11.0162i) q^{43} +(-1.43344 - 1.43344i) q^{44} +(-0.0148223 + 2.23602i) q^{45} +(-2.23052 + 8.32442i) q^{46} +1.09846i q^{47} +(-0.965926 - 0.258819i) q^{48} +(-3.45984 + 5.99262i) q^{49} +(4.99956 + 0.0662859i) q^{50} +2.94241i q^{51} +(-2.88812 - 2.15841i) q^{52} +(4.98163 - 4.98163i) q^{53} +(0.965926 - 0.258819i) q^{54} +(1.20220 - 4.37059i) q^{55} +(-0.245433 + 0.141701i) q^{56} -2.83297 q^{57} +(-0.292479 + 0.168863i) q^{58} +(2.10769 + 0.564754i) q^{59} +(-0.564407 - 2.16366i) q^{60} +(-5.46723 - 9.46953i) q^{61} +(-1.70045 - 6.34618i) q^{62} +(0.141701 - 0.245433i) q^{63} +1.00000 q^{64} +(1.00377 - 7.99953i) q^{65} -2.02718 q^{66} +(6.86730 - 11.8945i) q^{67} +(-0.761552 - 2.84215i) q^{68} +(4.30904 + 7.46347i) q^{69} +(-0.546693 - 0.320484i) q^{70} +(-9.81868 - 2.63091i) q^{71} +(-0.866025 + 0.500000i) q^{72} -5.93495 q^{73} +(-0.230581 + 0.133126i) q^{74} +(3.58209 - 3.48835i) q^{75} +(2.73644 - 0.733227i) q^{76} +(-0.406238 + 0.406238i) q^{77} +(-3.56844 + 0.515986i) q^{78} +5.53934i q^{79} +(1.10517 + 1.94386i) q^{80} +(0.500000 - 0.866025i) q^{81} +(4.69076 + 1.25688i) q^{82} -6.33627i q^{83} +(-0.0733498 + 0.273745i) q^{84} +(4.68310 - 4.62142i) q^{85} +(-8.06441 - 8.06441i) q^{86} +(-0.0874099 + 0.326218i) q^{87} +(1.95811 - 0.524674i) q^{88} +(1.14776 + 4.28351i) q^{89} +(-1.92904 - 1.13085i) q^{90} +(-0.611697 + 0.818500i) q^{91} +(-6.09390 - 6.09390i) q^{92} +(-5.68983 - 3.28502i) q^{93} +(-0.951297 - 0.549231i) q^{94} +(4.44953 + 4.50892i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-9.11914 - 15.7948i) q^{97} +(-3.45984 - 5.99262i) q^{98} +(-1.43344 + 1.43344i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) \) 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8	\( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) \) 32 * q - 16 * q^2 - 16 * q^4 - 12 * q^7 + 32 * q^8 - 4 * q^11 + 8 * q^13 - 4 * q^15 - 16 * q^16 - 4 * q^17 + 20 * q^19 + 8 * q^21 + 8 * q^22 - 16 * q^23 - 8 * q^25 - 4 * q^26 + 12 * q^28 + 24 * q^29 + 8 * q^30 + 12 * q^31 - 16 * q^32 - 16 * q^34 + 12 * q^35 - 24 * q^37 - 4 * q^38 - 20 * q^39 - 28 * q^41 - 16 * q^42 + 4 * q^43 - 4 * q^44 - 4 * q^46 + 20 * q^49 - 8 * q^50 - 4 * q^52 - 4 * q^53 + 68 * q^55 - 12 * q^56 + 16 * q^57 - 24 * q^58 + 36 * q^59 - 4 * q^60 - 28 * q^61 - 48 * q^62 + 32 * q^64 - 28 * q^65 - 28 * q^67 + 20 * q^68 - 20 * q^69 - 24 * q^70 - 4 * q^71 - 48 * q^73 + 24 * q^74 + 24 * q^75 - 16 * q^76 + 20 * q^77 + 4 * q^78 + 16 * q^81 + 44 * q^82 + 8 * q^84 + 64 * q^85 - 8 * q^86 + 20 * q^87 - 4 * q^88 - 16 * q^89 - 40 * q^91 + 20 * q^92 - 24 * q^93 - 24 * q^94 + 68 * q^95 + 8 * q^97 + 20 * q^98 - 4 * q^99

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