LMFDB - Embedded newform 798.2.bp.f.709.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(289,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 6, 2]))

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

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

chi := DirichletCharacter("798.289");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.bp (of order $9$, degree $6$, 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:	$42$
Relative dimension:	$7$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			709.7
Character	$\chi$	$=$	798.709
Dual form			798.2.bp.f.529.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173648 + 0.984808i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(3.08323 + 1.12221i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.0876156 + 2.64430i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})$	\(q+(0.173648 + 0.984808i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(3.08323 + 1.12221i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.0876156 + 2.64430i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(-0.569759 + 3.23126i) q^{10} +(-2.54249 + 4.40372i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-5.73163 + 2.08614i) q^{13} +(-2.58891 + 0.545462i) q^{14} +(0.569759 - 3.23126i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-3.93216 - 1.43119i) q^{17} +(-0.500000 - 0.866025i) q^{18} +(4.33488 - 0.456992i) q^{19} -3.28111 q^{20} +(2.58891 - 0.545462i) q^{21} +(-4.77831 - 1.73916i) q^{22} +(-0.993969 - 0.834039i) q^{23} +(-0.766044 + 0.642788i) q^{24} +(4.41677 + 3.70611i) q^{25} +(-3.04974 - 5.28230i) q^{26} +(0.500000 + 0.866025i) q^{27} +(-0.986736 - 2.45486i) q^{28} +(-1.41021 - 1.18330i) q^{29} +3.28111 q^{30} +7.45065 q^{31} +(0.766044 + 0.642788i) q^{32} +(4.77831 + 1.73916i) q^{33} +(0.726634 - 4.12094i) q^{34} +(-2.69731 + 8.25132i) q^{35} +(0.766044 - 0.642788i) q^{36} +(-4.32531 + 7.49166i) q^{37} +(1.20279 + 4.18966i) q^{38} +(3.04974 + 5.28230i) q^{39} +(-0.569759 - 3.23126i) q^{40} +(6.80643 + 2.47734i) q^{41} +(0.986736 + 2.45486i) q^{42} +(-1.36619 - 7.74805i) q^{43} +(0.882997 - 5.00772i) q^{44} -3.28111 q^{45} +(0.648767 - 1.12370i) q^{46} +(-1.21565 + 0.442461i) q^{47} +(-0.766044 - 0.642788i) q^{48} +(-6.98465 + 0.463364i) q^{49} +(-2.88284 + 4.99323i) q^{50} +(-0.726634 + 4.12094i) q^{51} +(4.67247 - 3.92067i) q^{52} +(3.11594 - 1.13411i) q^{53} +(-0.766044 + 0.642788i) q^{54} +(-12.7810 + 10.7245i) q^{55} +(2.24622 - 1.39803i) q^{56} +(-1.20279 - 4.18966i) q^{57} +(0.920448 - 1.59426i) q^{58} +(10.2672 + 3.73695i) q^{59} +(0.569759 + 3.23126i) q^{60} +(-4.25634 - 3.57149i) q^{61} +(1.29379 + 7.33746i) q^{62} +(-0.986736 - 2.45486i) q^{63} +(-0.500000 + 0.866025i) q^{64} -20.0131 q^{65} +(-0.882997 + 5.00772i) q^{66} +(0.730374 - 4.14216i) q^{67} +4.18452 q^{68} +(-0.648767 + 1.12370i) q^{69} +(-8.59435 - 1.22350i) q^{70} +(2.55394 + 14.4841i) q^{71} +(0.766044 + 0.642788i) q^{72} +(0.731548 + 4.14882i) q^{73} +(-8.12893 - 2.95869i) q^{74} +(2.88284 - 4.99323i) q^{75} +(-3.91715 + 1.91205i) q^{76} +(-11.8675 - 6.33727i) q^{77} +(-4.67247 + 3.92067i) q^{78} +(13.2036 - 11.0792i) q^{79} +(3.08323 - 1.12221i) q^{80} +(0.766044 - 0.642788i) q^{81} +(-1.25778 + 7.13321i) q^{82} +(2.17799 - 3.77238i) q^{83} +(-2.24622 + 1.39803i) q^{84} +(-10.5177 - 8.82538i) q^{85} +(7.39310 - 2.69087i) q^{86} +(-0.920448 + 1.59426i) q^{87} +5.08497 q^{88} +(-2.45728 + 13.9359i) q^{89} +(-0.569759 - 3.23126i) q^{90} +(-6.01857 - 14.9734i) q^{91} +(1.21928 + 0.443783i) q^{92} +(-1.29379 - 7.33746i) q^{93} +(-0.646834 - 1.12035i) q^{94} +(13.8783 + 3.45561i) q^{95} +(0.500000 - 0.866025i) q^{96} +(-2.44891 + 2.05488i) q^{97} +(-1.66920 - 6.79807i) q^{98} +(0.882997 - 5.00772i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 42 q + 6 q^{5} - 21 q^{8}+O(q^{10}) $ 42 * q + 6 * q^5 - 21 * q^8	$ 42 q + 6 q^{5} - 21 q^{8} - 3 q^{10} - 9 q^{11} + 21 q^{12} - 24 q^{13} - 3 q^{14} + 3 q^{15} - 21 q^{18} + 18 q^{19} - 6 q^{20} + 3 q^{21} - 3 q^{22} + 15 q^{23} - 18 q^{25} + 9 q^{26} + 21 q^{27} - 12 q^{28} + 9 q^{29} + 6 q^{30} - 6 q^{31} + 3 q^{33} + 9 q^{34} + 12 q^{35} - 15 q^{37} + 9 q^{38} - 9 q^{39} - 3 q^{40} + 3 q^{41} + 12 q^{42} + 6 q^{44} - 6 q^{45} - 18 q^{46} + 15 q^{47} - 30 q^{50} - 9 q^{51} + 21 q^{52} + 12 q^{53} - 15 q^{55} - 9 q^{57} - 18 q^{58} + 6 q^{59} + 3 q^{60} - 3 q^{61} + 6 q^{62} - 12 q^{63} - 21 q^{64} + 72 q^{65} - 6 q^{66} + 3 q^{67} - 36 q^{68} + 18 q^{69} - 6 q^{70} + 12 q^{71} + 9 q^{73} + 12 q^{74} + 30 q^{75} + 51 q^{77} - 21 q^{78} - 51 q^{79} + 6 q^{80} + 12 q^{82} + 24 q^{83} - 6 q^{85} + 9 q^{86} + 18 q^{87} + 18 q^{88} + 12 q^{89} - 3 q^{90} + 6 q^{92} - 6 q^{93} + 30 q^{94} - 21 q^{95} + 21 q^{96} - 27 q^{97} + 36 q^{98} + 6 q^{99}+O(q^{100}) $ 42 * q + 6 * q^5 - 21 * q^8 - 3 * q^10 - 9 * q^11 + 21 * q^12 - 24 * q^13 - 3 * q^14 + 3 * q^15 - 21 * q^18 + 18 * q^19 - 6 * q^20 + 3 * q^21 - 3 * q^22 + 15 * q^23 - 18 * q^25 + 9 * q^26 + 21 * q^27 - 12 * q^28 + 9 * q^29 + 6 * q^30 - 6 * q^31 + 3 * q^33 + 9 * q^34 + 12 * q^35 - 15 * q^37 + 9 * q^38 - 9 * q^39 - 3 * q^40 + 3 * q^41 + 12 * q^42 + 6 * q^44 - 6 * q^45 - 18 * q^46 + 15 * q^47 - 30 * q^50 - 9 * q^51 + 21 * q^52 + 12 * q^53 - 15 * q^55 - 9 * q^57 - 18 * q^58 + 6 * q^59 + 3 * q^60 - 3 * q^61 + 6 * q^62 - 12 * q^63 - 21 * q^64 + 72 * q^65 - 6 * q^66 + 3 * q^67 - 36 * q^68 + 18 * q^69 - 6 * q^70 + 12 * q^71 + 9 * q^73 + 12 * q^74 + 30 * q^75 + 51 * q^77 - 21 * q^78 - 51 * q^79 + 6 * q^80 + 12 * q^82 + 24 * q^83 - 6 * q^85 + 9 * q^86 + 18 * q^87 + 18 * q^88 + 12 * q^89 - 3 * q^90 + 6 * q^92 - 6 * q^93 + 30 * q^94 - 21 * q^95 + 21 * q^96 - 27 * q^97 + 36 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{9}\right)$	$1$

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 $

$2$	0.173648	+	0.984808i	0.122788	+	0.696364i
$2$	0.173648	+	0.984808i	0.122788	+	0.696364i
$3$	−0.173648	−	0.984808i	−0.100256	−	0.568579i
$3$	−0.173648	−	0.984808i	−0.100256	−	0.568579i
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	3.08323	+	1.12221i	1.37886	+	0.501866i	0.921834	−	0.387585i	$-0.126691\pi$
$5$	3.08323	+	1.12221i	1.37886	+	0.501866i	0.457031	+	0.889451i	$0.348913\pi$
$6$	0.939693	−	0.342020i	0.383628	−	0.139629i
$7$	0.0876156	+	2.64430i	0.0331156	+	0.999452i
$7$	0.0876156	+	2.64430i	0.0331156	+	0.999452i
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	−0.939693	+	0.342020i	−0.313231	+	0.114007i
$10$	−0.569759	+	3.23126i	−0.180174	+	1.02181i
$11$	−2.54249	+	4.40372i	−0.766589	+	1.32777i	0.172814	+	0.984955i	$0.444714\pi$
$11$	−2.54249	+	4.40372i	−0.766589	+	1.32777i	−0.939403	+	0.342816i	$0.888619\pi$
$12$	0.500000	+	0.866025i	0.144338	+	0.250000i
$13$	−5.73163	+	2.08614i	−1.58967	+	0.578592i	−0.977278	−	0.211962i	$-0.932015\pi$
$13$	−5.73163	+	2.08614i	−1.58967	+	0.578592i	−0.612392	+	0.790555i	$0.709792\pi$
$14$	−2.58891	+	0.545462i	−0.691916	+	0.145781i
$15$	0.569759	−	3.23126i	0.147111	−	0.834308i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−3.93216	−	1.43119i	−0.953689	−	0.347114i	−0.182131	−	0.983274i	$-0.558300\pi$
$17$	−3.93216	−	1.43119i	−0.953689	−	0.347114i	−0.771557	+	0.636160i	$0.780522\pi$
$18$	−0.500000	−	0.866025i	−0.117851	−	0.204124i
$19$	4.33488	−	0.456992i	0.994489	−	0.104841i
$19$	4.33488	−	0.456992i	0.994489	−	0.104841i
$20$	−3.28111			−0.733679
$21$	2.58891	−	0.545462i	0.564947	−	0.119030i
$22$	−4.77831	−	1.73916i	−1.01874	−	0.370791i
$23$	−0.993969	−	0.834039i	−0.207257	−	0.173909i	0.533251	−	0.845957i	$-0.320970\pi$
$23$	−0.993969	−	0.834039i	−0.207257	−	0.173909i	−0.740507	+	0.672048i	$0.765415\pi$
$24$	−0.766044	+	0.642788i	−0.156368	+	0.131208i
$25$	4.41677	+	3.70611i	0.883354	+	0.741222i
$26$	−3.04974	−	5.28230i	−0.598103	−	1.03594i
$27$	0.500000	+	0.866025i	0.0962250	+	0.166667i
$28$	−0.986736	−	2.45486i	−0.186476	−	0.463926i
$29$	−1.41021	−	1.18330i	−0.261869	−	0.219734i	0.502394	−	0.864639i	$-0.332453\pi$
$29$	−1.41021	−	1.18330i	−0.261869	−	0.219734i	−0.764263	+	0.644905i	$0.776897\pi$
$30$	3.28111			0.599046
$31$	7.45065			1.33818			0.669088	−	0.743183i	$-0.266685\pi$
$31$	7.45065			1.33818			0.669088	+	0.743183i	$0.266685\pi$
$32$	0.766044	+	0.642788i	0.135419	+	0.113630i
$33$	4.77831	+	1.73916i	0.831798	+	0.302750i
$34$	0.726634	−	4.12094i	0.124617	−	0.706736i
$35$	−2.69731	+	8.25132i	−0.455929	+	1.39473i
$36$	0.766044	−	0.642788i	0.127674	−	0.107131i
$37$	−4.32531	+	7.49166i	−0.711077	+	1.23162i	0.253376	+	0.967368i	$0.418459\pi$
$37$	−4.32531	+	7.49166i	−0.711077	+	1.23162i	−0.964453	+	0.264254i	$0.914874\pi$
$38$	1.20279	+	4.18966i	0.195119	+	0.679653i
$39$	3.04974	+	5.28230i	0.488349	+	0.845845i
$40$	−0.569759	−	3.23126i	−0.0900868	−	0.510907i
$41$	6.80643	+	2.47734i	1.06299	+	0.386895i	0.813549	−	0.581496i	$-0.197533\pi$
$41$	6.80643	+	2.47734i	1.06299	+	0.386895i	0.249436	+	0.968391i	$0.419755\pi$
$42$	0.986736	+	2.45486i	0.152257	+	0.378794i
$43$	−1.36619	−	7.74805i	−0.208342	−	1.18157i	−0.892093	−	0.451851i	$-0.850764\pi$
$43$	−1.36619	−	7.74805i	−0.208342	−	1.18157i	0.683751	−	0.729715i	$-0.260347\pi$
$44$	0.882997	−	5.00772i	0.133117	−	0.754943i
$45$	−3.28111			−0.489119
$46$	0.648767	−	1.12370i	0.0956555	−	0.165680i
$47$	−1.21565	+	0.442461i	−0.177321	+	0.0645395i	−0.429155	−	0.903231i	$-0.641189\pi$
$47$	−1.21565	+	0.442461i	−0.177321	+	0.0645395i	0.251834	+	0.967770i	$0.418966\pi$
$48$	−0.766044	−	0.642788i	−0.110569	−	0.0927784i
$49$	−6.98465	+	0.463364i	−0.997807	+	0.0661949i
$50$	−2.88284	+	4.99323i	−0.407695	+	0.706149i
$51$	−0.726634	+	4.12094i	−0.101749	+	0.577048i
$52$	4.67247	−	3.92067i	0.647955	−	0.543699i
$53$	3.11594	−	1.13411i	0.428007	−	0.155782i	−0.119029	−	0.992891i	$-0.537978\pi$
$53$	3.11594	−	1.13411i	0.428007	−	0.155782i	0.547036	+	0.837109i	$0.315756\pi$
$54$	−0.766044	+	0.642788i	−0.104245	+	0.0874723i
$55$	−12.7810	+	10.7245i	−1.72338	+	1.44609i
$56$	2.24622	−	1.39803i	0.300164	−	0.186819i
$57$	−1.20279	−	4.18966i	−0.159314	−	0.554935i
$58$	0.920448	−	1.59426i	0.120861	−	0.209337i
$59$	10.2672	+	3.73695i	1.33667	+	0.486509i	0.908763	−	0.417312i	$-0.137028\pi$
$59$	10.2672	+	3.73695i	1.33667	+	0.486509i	0.427910	+	0.903821i	$0.359250\pi$
$60$	0.569759	+	3.23126i	0.0735555	+	0.417154i
$61$	−4.25634	−	3.57149i	−0.544968	−	0.457283i	0.328265	−	0.944586i	$-0.393536\pi$
$61$	−4.25634	−	3.57149i	−0.544968	−	0.457283i	−0.873233	+	0.487303i	$0.837981\pi$
$62$	1.29379	+	7.33746i	0.164312	+	0.931858i
$63$	−0.986736	−	2.45486i	−0.124317	−	0.309284i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−20.0131			−2.48231
$66$	−0.882997	+	5.00772i	−0.108689	+	0.616408i
$67$	0.730374	−	4.14216i	0.0892294	−	0.506045i	−0.907134	−	0.420841i	$-0.861735\pi$
$67$	0.730374	−	4.14216i	0.0892294	−	0.506045i	0.996364	−	0.0852034i	$-0.0271540\pi$
$68$	4.18452			0.507447
$69$	−0.648767	+	1.12370i	−0.0781024	+	0.135277i
$70$	−8.59435	−	1.22350i	−1.02722	−	0.146237i
$71$	2.55394	+	14.4841i	0.303097	+	1.71895i	0.632329	+	0.774700i	$0.282099\pi$
$71$	2.55394	+	14.4841i	0.303097	+	1.71895i	−0.329232	+	0.944249i	$0.606790\pi$
$72$	0.766044	+	0.642788i	0.0902792	+	0.0757532i
$73$	0.731548	+	4.14882i	0.0856212	+	0.485582i	0.997221	+	0.0745029i	$0.0237370\pi$
$73$	0.731548	+	4.14882i	0.0856212	+	0.485582i	−0.911600	+	0.411079i	$0.865152\pi$
$74$	−8.12893	−	2.95869i	−0.944969	−	0.343941i
$75$	2.88284	−	4.99323i	0.332882	−	0.576568i
$76$	−3.91715	+	1.91205i	−0.449328	+	0.219327i
$77$	−11.8675	−	6.33727i	−1.35243	−	0.722198i
$78$	−4.67247	+	3.92067i	−0.529053	+	0.443928i
$79$	13.2036	−	11.0792i	1.48553	−	1.24650i	0.585498	−	0.810674i	$-0.300899\pi$
$79$	13.2036	−	11.0792i	1.48553	−	1.24650i	0.900029	−	0.435831i	$-0.143545\pi$
$80$	3.08323	−	1.12221i	0.344716	−	0.125466i
$81$	0.766044	−	0.642788i	0.0851160	−	0.0714208i
$82$	−1.25778	+	7.13321i	−0.138898	+	0.787731i
$83$	2.17799	−	3.77238i	0.239065	−	0.414073i	−0.721381	−	0.692538i	$-0.756492\pi$
$83$	2.17799	−	3.77238i	0.239065	−	0.414073i	0.960446	+	0.278465i	$0.0898258\pi$
$84$	−2.24622	+	1.39803i	−0.245083	+	0.152537i
$85$	−10.5177	−	8.82538i	−1.14080	−	0.957247i
$86$	7.39310	−	2.69087i	0.797219	−	0.290164i
$87$	−0.920448	+	1.59426i	−0.0986824	+	0.170923i
$88$	5.08497			0.542060
$89$	−2.45728	+	13.9359i	−0.260471	+	1.47721i	0.521157	+	0.853461i	$0.325501\pi$
$89$	−2.45728	+	13.9359i	−0.260471	+	1.47721i	−0.781628	+	0.623745i	$0.785611\pi$
$90$	−0.569759	−	3.23126i	−0.0600579	−	0.340605i
$91$	−6.01857	−	14.9734i	−0.630918	−	1.56964i
$92$	1.21928	+	0.443783i	0.127119	+	0.0462676i
$93$	−1.29379	−	7.33746i	−0.134160	−	0.760859i
$94$	−0.646834	−	1.12035i	−0.0667159	−	0.115555i
$95$	13.8783	+	3.45561i	1.42388	+	0.354538i
$96$	0.500000	−	0.866025i	0.0510310	−	0.0883883i
$97$	−2.44891	+	2.05488i	−0.248649	+	0.208641i	−0.758590	−	0.651568i	$-0.774112\pi$
$97$	−2.44891	+	2.05488i	−0.248649	+	0.208641i	0.509941	+	0.860209i	$0.329667\pi$
$98$	−1.66920	−	6.79807i	−0.168614	−	0.686709i
$99$	0.882997	−	5.00772i	0.0887445	−	0.503295i
$100$	−5.41797	−	1.97198i	−0.541797	−	0.197198i
$101$	11.1778	+	9.37927i	1.11223	+	0.933272i	0.998186	−	0.0602035i	$-0.0191750\pi$
$101$	11.1778	+	9.37927i	1.11223	+	0.933272i	0.114044	+	0.993476i	$0.463619\pi$
$102$	−4.18452			−0.414329
$103$	9.61491			0.947385			0.473693	−	0.880690i	$-0.342921\pi$
$103$	9.61491			0.947385			0.473693	+	0.880690i	$0.342921\pi$
$104$	4.67247	+	3.92067i	0.458174	+	0.384453i
$105$	8.59435	+	1.22350i	0.838723	+	0.119402i
$106$	1.65796	+	2.87166i	0.161035	+	0.278921i
$107$	9.05925	+	15.6911i	0.875790	+	1.51691i	0.855918	+	0.517111i	$0.172993\pi$
$107$	9.05925	+	15.6911i	0.875790	+	1.51691i	0.0198721	+	0.999803i	$0.493674\pi$
$108$	−0.766044	−	0.642788i	−0.0737127	−	0.0618523i
$109$	4.48105	−	3.76004i	0.429206	−	0.360147i	−0.402446	−	0.915444i	$-0.631840\pi$
$109$	4.48105	−	3.76004i	0.429206	−	0.360147i	0.831652	+	0.555297i	$0.187395\pi$
$110$	−12.7810	−	10.7245i	−1.21862	−	1.02254i
$111$	8.12893	+	2.95869i	0.771564	+	0.280826i
$112$	1.76684	+	1.96933i	0.166951	+	0.186084i
$113$	3.75809			0.353532			0.176766	−	0.984253i	$-0.443436\pi$
$113$	3.75809			0.353532			0.176766	+	0.984253i	$0.443436\pi$
$114$	3.91715	−	1.91205i	0.366875	−	0.179080i
$115$	−2.12868	−	3.68698i	−0.198500	−	0.343812i
$116$	1.72988	+	0.629623i	0.160615	+	0.0584591i
$117$	4.67247	−	3.92067i	0.431970	−	0.362466i
$118$	−1.89730	+	10.7601i	−0.174660	+	0.990549i
$119$	3.43997	−	10.5232i	0.315342	−	0.964660i
$120$	−3.08323	+	1.12221i	−0.281460	+	0.102443i
$121$	−7.42848	−	12.8665i	−0.675317	−	1.16968i
$122$	2.77813	−	4.81186i	0.251520	−	0.435645i
$123$	1.25778	−	7.13321i	0.113410	−	0.643180i
$124$	−7.00132	+	2.54827i	−0.628737	+	0.228842i
$125$	1.25615	+	2.17571i	0.112353	+	0.194601i
$126$	2.24622	−	1.39803i	0.200109	−	0.124546i
$127$	11.3483	−	4.13046i	1.00700	−	0.366519i	0.214721	−	0.976675i	$-0.431116\pi$
$127$	11.3483	−	4.13046i	1.00700	−	0.366519i	0.792281	+	0.610156i	$0.208893\pi$
$128$	−0.939693	−	0.342020i	−0.0830579	−	0.0302306i
$129$	−7.39310	+	2.69087i	−0.650927	+	0.236918i
$130$	−3.47523	−	19.7090i	−0.304798	−	1.72860i
$131$	−1.49130	−	8.45760i	−0.130296	−	0.738944i	−0.978021	−	0.208508i	$-0.933139\pi$
$131$	−1.49130	−	8.45760i	−0.130296	−	0.738944i	0.847725	−	0.530436i	$-0.177972\pi$
$132$	−5.08497			−0.442590
$133$	1.58823	+	11.4227i	0.137717	+	0.990472i
$134$	4.20605			0.363348
$135$	0.569759	+	3.23126i	0.0490370	+	0.278103i
$136$	0.726634	+	4.12094i	0.0623083	+	0.353368i
$137$	−7.04177	+	2.56299i	−0.601619	+	0.218971i	−0.624832	−	0.780759i	$-0.714833\pi$
$137$	−7.04177	+	2.56299i	−0.601619	+	0.218971i	0.0232133	+	0.999731i	$0.492610\pi$
$138$	−1.21928	−	0.443783i	−0.103792	−	0.0377773i
$139$	−20.2597	+	7.37392i	−1.71840	+	0.625447i	−0.997699	−	0.0677959i	$-0.978403\pi$
$139$	−20.2597	+	7.37392i	−1.71840	+	0.625447i	−0.720704	+	0.693243i	$0.756181\pi$
$140$	−0.287476	−	8.67624i	−0.0242962	−	0.733276i
$141$	0.646834	+	1.12035i	0.0544733	+	0.0943505i
$142$	−13.8206	+	5.03028i	−1.15980	+	0.422132i
$143$	5.38582	−	30.5445i	0.450385	−	2.55426i
$144$	−0.500000	+	0.866025i	−0.0416667	+	0.0721688i
$145$	−3.02009	−	5.23095i	−0.250805	−	0.434407i
$146$	−3.95875	+	1.44087i	−0.327629	+	0.119247i
$147$	1.66920	+	6.79807i	0.137673	+	0.560696i
$148$	1.50217	−	8.51920i	0.123477	−	0.700274i
$149$	10.8775	−	9.12731i	0.891120	−	0.747738i	−0.0773147	−	0.997007i	$-0.524635\pi$
$149$	10.8775	−	9.12731i	0.891120	−	0.747738i	0.968434	+	0.249269i	$0.0801902\pi$
$150$	5.41797	+	1.97198i	0.442375	+	0.161011i
$151$	−7.78013	−	13.4756i	−0.633138	−	1.09663i	−0.986906	−	0.161294i	$-0.948433\pi$
$151$	−7.78013	−	13.4756i	−0.633138	−	1.09663i	0.353769	−	0.935333i	$-0.384900\pi$
$152$	−2.56320	−	3.52562i	−0.207903	−	0.285965i
$153$	4.18452			0.338298
$154$	4.18022	−	12.7877i	0.336851	−	1.03046i
$155$	22.9721	+	8.36116i	1.84516	+	0.671585i
$156$	−4.67247	−	3.92067i	−0.374097	−	0.313905i
$157$	−5.72158	+	4.80098i	−0.456632	+	0.383160i	−0.841890	−	0.539649i	$-0.818557\pi$
$157$	−5.72158	+	4.80098i	−0.456632	+	0.383160i	0.385258	+	0.922809i	$0.374112\pi$
$158$	13.2036	+	11.0792i	1.05043	+	0.881412i
$159$	−1.65796	−	2.87166i	−0.131484	−	0.227738i
$160$	1.64056	+	2.84152i	0.129697	+	0.224642i
$161$	2.11836	−	2.70143i	0.166950	−	0.212902i
$162$	0.766044	+	0.642788i	0.0601861	+	0.0505022i
$163$	10.2324			0.801463			0.400731	−	0.916196i	$-0.368756\pi$
$163$	10.2324			0.801463			0.400731	+	0.916196i	$0.368756\pi$
$164$	−7.24325			−0.565603
$165$	12.7810	+	10.7245i	0.994997	+	0.834901i
$166$	4.09327	+	1.48983i	0.317700	+	0.115633i
$167$	−0.0994404	+	0.563955i	−0.00769493	+	0.0436401i	−0.988413	−	0.151785i	$-0.951498\pi$
$167$	−0.0994404	+	0.563955i	−0.00769493	+	0.0436401i	0.980719	+	0.195426i	$0.0626088\pi$
$168$	−1.76684	−	1.96933i	−0.136315	−	0.151937i
$169$	18.5411	−	15.5578i	1.42624	−	1.19675i
$170$	6.86493	−	11.8904i	0.526516	−	0.911952i
$171$	−3.91715	+	1.91205i	−0.299552	+	0.146218i
$172$	3.93379	+	6.81352i	0.299949	+	0.519526i
$173$	−2.69178	−	15.2658i	−0.204652	−	1.16064i	−0.897986	−	0.440024i	$-0.854970\pi$
$173$	−2.69178	−	15.2658i	−0.204652	−	1.16064i	0.693334	−	0.720617i	$-0.256141\pi$
$174$	−1.72988	−	0.629623i	−0.131142	−	0.0477316i
$175$	−9.41309	+	12.0040i	−0.711563	+	0.907416i
$176$	0.882997	+	5.00772i	0.0665584	+	0.377471i
$177$	1.89730	−	10.7601i	0.142610	−	0.808780i
$178$	−14.1509			−1.06066
$179$	−1.11892	+	1.93803i	−0.0836320	+	0.144855i	−0.904807	−	0.425821i	$-0.859985\pi$
$179$	−1.11892	+	1.93803i	−0.0836320	+	0.144855i	0.821175	+	0.570676i	$0.193319\pi$
$180$	3.08323	−	1.12221i	0.229811	−	0.0836443i
$181$	−11.4056	−	9.57041i	−0.847769	−	0.711363i	0.111528	−	0.993761i	$-0.464425\pi$
$181$	−11.4056	−	9.57041i	−0.847769	−	0.711363i	−0.959297	+	0.282399i	$0.908870\pi$
$182$	13.7008	−	8.52724i	1.01557	−	0.632081i
$183$	−2.77813	+	4.81186i	−0.205365	+	0.355703i
$184$	−0.225314	+	1.27782i	−0.0166104	+	0.0942023i
$185$	−21.7431	+	18.2447i	−1.59859	+	1.34137i
$186$	7.00132	−	2.54827i	0.513362	−	0.186848i
$187$	16.3000	−	13.6773i	1.19198	−	1.00019i
$188$	0.991008	−	0.831554i	0.0722767	−	0.0606473i
$189$	−2.24622	+	1.39803i	−0.163389	+	0.101692i
$190$	−0.993175	+	14.2675i	−0.0720525	+	1.03507i
$191$	−3.17705	+	5.50281i	−0.229883	+	0.398169i	−0.957773	−	0.287525i	$-0.907168\pi$
$191$	−3.17705	+	5.50281i	−0.229883	+	0.398169i	0.727890	+	0.685694i	$0.240501\pi$
$192$	0.939693	+	0.342020i	0.0678165	+	0.0246832i
$193$	−1.17317	−	6.65335i	−0.0844463	−	0.478919i	−0.997475	−	0.0710228i	$-0.977374\pi$
$193$	−1.17317	−	6.65335i	−0.0844463	−	0.478919i	0.913028	−	0.407896i	$-0.133737\pi$
$194$	−2.44891	−	2.05488i	−0.175821	−	0.147532i
$195$	3.47523	+	19.7090i	0.248867	+	1.41139i
$196$	6.40494	−	2.82431i	0.457496	−	0.201736i
$197$	−4.69215	+	8.12705i	−0.334302	+	0.579028i	−0.983351	−	0.181719i	$-0.941834\pi$
$197$	−4.69215	+	8.12705i	−0.334302	+	0.579028i	0.649048	+	0.760747i	$0.275167\pi$
$198$	5.08497			0.361373
$199$	0.336131	−	1.90629i	0.0238277	−	0.135133i	−0.970573	−	0.240806i	$-0.922588\pi$
$199$	0.336131	−	1.90629i	0.0238277	−	0.135133i	0.994401	+	0.105672i	$0.0336995\pi$
$200$	1.00120	−	5.67809i	0.0707956	−	0.401502i
$201$	−4.20605			−0.296672
$202$	−7.29578	+	12.6367i	−0.513329	+	0.889112i
$203$	3.00546	−	3.83269i	0.210942	−	0.269002i
$204$	−0.726634	−	4.12094i	−0.0508745	−	0.288524i
$205$	18.2057	+	15.2764i	1.27154	+	1.06695i
$206$	1.66961	+	9.46884i	0.116327	+	0.659725i
$207$	1.21928	+	0.443783i	0.0847461	+	0.0308450i
$208$	−3.04974	+	5.28230i	−0.211461	+	0.366262i
$209$	−9.00891	+	20.2515i	−0.623159	+	1.40082i
$210$	0.287476	+	8.67624i	0.0198378	+	0.598717i
$211$	8.25465	−	6.92647i	0.568274	−	0.476838i	−0.312799	−	0.949819i	$-0.601267\pi$
$211$	8.25465	−	6.92647i	0.568274	−	0.476838i	0.881073	+	0.472981i	$0.156822\pi$
$212$	−2.54014	+	2.13143i	−0.174457	+	0.146387i
$213$	13.8206	−	5.03028i	0.946971	−	0.344669i
$214$	−13.8796	+	11.6463i	−0.948788	+	0.796128i
$215$	4.48262	−	25.4222i	0.305712	−	1.73378i
$216$	0.500000	−	0.866025i	0.0340207	−	0.0589256i
$217$	0.652793	+	19.7018i	0.0443145	+	1.33744i
$218$	4.48105	+	3.76004i	0.303495	+	0.254662i
$219$	3.95875	−	1.44087i	0.267508	−	0.0973649i
$220$	8.34218	−	14.4491i	0.562430	−	0.974157i
$221$	25.5234			1.71689
$222$	−1.50217	+	8.51920i	−0.100819	+	0.571772i
$223$	−3.43681	−	19.4911i	−0.230146	−	1.30522i	−0.852599	−	0.522565i	$-0.824975\pi$
$223$	−3.43681	−	19.4911i	−0.230146	−	1.30522i	0.622453	−	0.782657i	$-0.286136\pi$
$224$	−1.63261	+	2.08197i	−0.109083	+	0.139107i
$225$	−5.41797	−	1.97198i	−0.361198	−	0.131465i
$226$	0.652586	+	3.70100i	0.0434094	+	0.246187i
$227$	7.13516	+	12.3585i	0.473577	+	0.820260i	0.999542	−	0.0302461i	$-0.00962909\pi$
$227$	7.13516	+	12.3585i	0.473577	+	0.820260i	−0.525965	+	0.850506i	$0.676296\pi$
$228$	2.56320	+	3.52562i	0.169752	+	0.233490i
$229$	−6.34670	+	10.9928i	−0.419402	+	0.726425i	−0.995879	−	0.0906877i	$-0.971094\pi$
$229$	−6.34670	+	10.9928i	−0.419402	+	0.726425i	0.576478	+	0.817113i	$0.304427\pi$
$230$	3.26132	−	2.73657i	0.215045	−	0.180444i
$231$	−4.18022	+	12.7877i	−0.275038	+	0.841367i
$232$	−0.319668	+	1.81293i	−0.0209872	+	0.119025i
$233$	16.7177	+	6.08473i	1.09521	+	0.398624i	0.825548	−	0.564331i	$-0.190866\pi$
$233$	16.7177	+	6.08473i	1.09521	+	0.398624i	0.269662	+	0.962955i	$0.413088\pi$
$234$	4.67247	+	3.92067i	0.305449	+	0.256302i
$235$	−4.24467			−0.276892
$236$	−10.9261			−0.711229
$237$	−13.2036	−	11.0792i	−0.857669	−	0.719670i
$238$	10.9607	+	1.56038i	0.710475	+	0.101144i
$239$	−12.1555	−	21.0539i	−0.786273	−	1.36186i	−0.928236	−	0.371992i	$-0.878675\pi$
$239$	−12.1555	−	21.0539i	−0.786273	−	1.36186i	0.141963	−	0.989872i	$-0.454659\pi$
$240$	−1.64056	−	2.84152i	−0.105897	−	0.183420i
$241$	13.8459	+	11.6181i	0.891893	+	0.748387i	0.968589	−	0.248667i	$-0.0799926\pi$
$241$	13.8459	+	11.6181i	0.891893	+	0.748387i	−0.0766959	+	0.997055i	$0.524437\pi$
$242$	11.3811	−	9.54987i	0.731605	−	0.613889i
$243$	−0.766044	−	0.642788i	−0.0491418	−	0.0412348i
$244$	5.22117	+	1.90035i	0.334251	+	0.121658i
$245$	−22.0553	−	6.40955i	−1.40906	−	0.409491i
$246$	7.24325			0.461813
$247$	−23.8926	+	11.6625i	−1.52025	+	0.742066i
$248$	−3.72532	−	6.45245i	−0.236558	−	0.409731i
$249$	−4.09327	−	1.48983i	−0.259401	−	0.0944141i
$250$	−1.92453	+	1.61487i	−0.121718	+	0.102133i
$251$	−5.22437	+	29.6289i	−0.329759	+	1.87016i	0.144109	+	0.989562i	$0.453968\pi$
$251$	−5.22437	+	29.6289i	−0.329759	+	1.87016i	−0.473868	+	0.880596i	$0.657143\pi$
$252$	1.76684	+	1.96933i	0.111301	+	0.124056i
$253$	6.20003	−	2.25662i	0.389792	−	0.141873i
$254$	6.03833	+	10.4587i	0.378878	+	0.656236i
$255$	−6.86493	+	11.8904i	−0.429899	+	0.744606i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	−8.01412	+	2.91690i	−0.499907	+	0.181951i	−0.579652	−	0.814864i	$-0.696812\pi$
$257$	−8.01412	+	2.91690i	−0.499907	+	0.181951i	0.0797452	+	0.996815i	$0.474589\pi$
$258$	−3.93379	−	6.81352i	−0.244907	−	0.424191i
$259$	−20.1892	−	10.7810i	−1.25449	−	0.669901i
$260$	18.8061	−	6.84487i	1.16631	−	0.424501i
$261$	1.72988	+	0.629623i	0.107077	+	0.0389727i
$262$	8.07015	−	2.93729i	0.498576	−	0.181467i
$263$	−2.71157	−	15.3781i	−0.167203	−	0.948255i	−0.946764	−	0.321928i	$-0.895669\pi$
$263$	−2.71157	−	15.3781i	−0.167203	−	0.948255i	0.779561	−	0.626326i	$-0.215442\pi$
$264$	−0.882997	−	5.00772i	−0.0543447	−	0.308204i
$265$	10.8799			0.668345
$266$	−10.9733	+	3.54762i	−0.672819	+	0.217519i
$267$	14.1509			0.866022
$268$	0.730374	+	4.14216i	0.0446147	+	0.253022i
$269$	0.218388	+	1.23854i	0.0133154	+	0.0755153i	0.990741	−	0.135763i	$-0.0433485\pi$
$269$	0.218388	+	1.23854i	0.0133154	+	0.0755153i	−0.977426	+	0.211278i	$0.932237\pi$
$270$	−3.08323	+	1.12221i	−0.187640	+	0.0682953i
$271$	8.48565	+	3.08852i	0.515467	+	0.187614i	0.586637	−	0.809850i	$-0.300451\pi$
$271$	8.48565	+	3.08852i	0.515467	+	0.187614i	−0.0711710	+	0.997464i	$0.522674\pi$
$272$	−3.93216	+	1.43119i	−0.238422	+	0.0867786i
$273$	−13.7008	+	8.52724i	−0.829210	+	0.516092i
$274$	−3.74685	−	6.48973i	−0.226355	−	0.392059i
$275$	−27.5502	+	10.0275i	−1.66134	+	0.604679i
$276$	0.225314	−	1.27782i	0.0135623	−	0.0769158i
$277$	4.28538	−	7.42250i	0.257484	−	0.445975i	−0.708084	−	0.706129i	$-0.750440\pi$
$277$	4.28538	−	7.42250i	0.257484	−	0.445975i	0.965567	+	0.260154i	$0.0837733\pi$
$278$	−10.7799	−	18.6714i	−0.646538	−	1.11984i
$279$	−7.00132	+	2.54827i	−0.419158	+	0.152561i
$280$	8.49451	−	1.78972i	0.507644	−	0.106956i
$281$	1.67084	−	9.47580i	0.0996739	−	0.565279i	−0.893541	−	0.448982i	$-0.851787\pi$
$281$	1.67084	−	9.47580i	0.0996739	−	0.565279i	0.993215	−	0.116296i	$-0.0371023\pi$
$282$	−0.991008	+	0.831554i	−0.0590136	+	0.0495183i
$283$	−1.79103	−	0.651881i	−0.106466	−	0.0387503i	0.288238	−	0.957559i	$-0.406931\pi$
$283$	−1.79103	−	0.651881i	−0.106466	−	0.0387503i	−0.394704	+	0.918808i	$0.629153\pi$
$284$	−7.35378	−	12.7371i	−0.436367	−	0.755809i
$285$	0.993175	−	14.2675i	0.0588306	−	0.845134i
$286$	31.0157			1.83400
$287$	−5.95447	+	18.2153i	−0.351481	+	1.07521i
$288$	−0.939693	−	0.342020i	−0.0553719	−	0.0201537i
$289$	0.390816	+	0.327933i	0.0229892	+	0.0192902i
$290$	4.62705	−	3.88255i	0.271710	−	0.227991i
$291$	2.44891	+	2.05488i	0.143557	+	0.120459i
$292$	−2.10641	−	3.64841i	−0.123268	−	0.213507i
$293$	−8.11031	−	14.0475i	−0.473809	−	0.820662i	0.525741	−	0.850645i	$-0.323788\pi$
$293$	−8.11031	−	14.0475i	−0.473809	−	0.820662i	−0.999550	+	0.0299829i	$0.990455\pi$
$294$	−6.40494	+	2.82431i	−0.373544	+	0.164717i
$295$	27.4625	+	23.0438i	1.59893	+	1.34166i
$296$	8.65063			0.502807
$297$	−5.08497			−0.295060
$298$	10.8775	+	9.12731i	0.630117	+	0.528731i
$299$	7.43699	+	2.70684i	0.430092	+	0.156541i
$300$	−1.00120	+	5.67809i	−0.0578043	+	0.327825i
$301$	20.3685	−	4.29147i	1.17402	−	0.247356i
$302$	11.9198	−	10.0019i	0.685910	−	0.575547i
$303$	7.29578	−	12.6367i	0.419131	−	0.725957i
$304$	3.02696	−	3.13648i	0.173608	−	0.179890i
$305$	−9.11534	−	15.7882i	−0.521943	−	0.904032i
$306$	0.726634	+	4.12094i	0.0415389	+	0.235579i
$307$	−15.2662	−	5.55646i	−0.871291	−	0.317124i	−0.132601	−	0.991170i	$-0.542333\pi$
$307$	−15.2662	−	5.55646i	−0.871291	−	0.317124i	−0.738690	+	0.674046i	$0.764555\pi$
$308$	13.3193	+	1.89615i	0.758937	+	0.108043i
$309$	−1.66961	−	9.46884i	−0.0949809	−	0.538663i
$310$	−4.24507	+	24.0750i	−0.241104	+	1.36737i
$311$	−9.48431			−0.537806			−0.268903	−	0.963167i	$-0.586661\pi$
$311$	−9.48431			−0.537806			−0.268903	+	0.963167i	$0.586661\pi$
$312$	3.04974	−	5.28230i	0.172657	−	0.299052i
$313$	−10.5250	+	3.83078i	−0.594906	+	0.216528i	−0.621886	−	0.783108i	$-0.713633\pi$
$313$	−10.5250	+	3.83078i	−0.594906	+	0.216528i	0.0269796	+	0.999636i	$0.491411\pi$
$314$	−5.72158	−	4.80098i	−0.322888	−	0.270935i
$315$	−0.287476	−	8.67624i	−0.0161975	−	0.488851i
$316$	−8.61807	+	14.9269i	−0.484804	+	0.839706i
$317$	0.929934	−	5.27392i	0.0522303	−	0.296213i	−0.947492	−	0.319780i	$-0.896391\pi$
$317$	0.929934	−	5.27392i	0.0522303	−	0.296213i	0.999722	+	0.0235668i	$0.00750224\pi$
$318$	2.54014	−	2.13143i	0.142444	−	0.119525i
$319$	8.79638	−	3.20162i	0.492503	−	0.179256i
$320$	−2.51348	+	2.10906i	−0.140508	+	0.117900i
$321$	13.8796	−	11.6463i	0.774682	−	0.650035i
$322$	3.02824	+	1.61708i	0.168757	+	0.0901164i
$323$	−17.6995	−	4.40706i	−0.984825	−	0.245216i
$324$	−0.500000	+	0.866025i	−0.0277778	+	0.0481125i
$325$	−33.0468	−	12.0280i	−1.83311	−	0.667196i
$326$	1.77684	+	10.0769i	0.0984099	+	0.558110i
$327$	−4.48105	−	3.76004i	−0.247802	−	0.207931i
$328$	−1.25778	−	7.13321i	−0.0694491	−	0.393865i
$329$	−1.27651	−	3.17578i	−0.0703762	−	0.175086i
$330$	−8.34218	+	14.4491i	−0.459222	+	0.795396i
$331$	19.1748			1.05394			0.526970	−	0.849884i	$-0.323328\pi$
$331$	19.1748			1.05394			0.526970	+	0.849884i	$0.323328\pi$
$332$	−0.756406	+	4.28979i	−0.0415132	+	0.235433i
$333$	1.50217	−	8.51920i	0.0823182	−	0.466849i
$334$	−0.572655			−0.0313343
$335$	6.90026	−	11.9516i	0.377002	−	0.652986i
$336$	1.63261	−	2.08197i	0.0890660	−	0.113581i
$337$	−2.98951	−	16.9543i	−0.162849	−	0.923562i	−0.951255	−	0.308406i	$-0.900204\pi$
$337$	−2.98951	−	16.9543i	−0.162849	−	0.923562i	0.788406	−	0.615155i	$-0.210907\pi$
$338$	18.5411	+	15.5578i	1.00850	+	0.846233i
$339$	−0.652586	−	3.70100i	−0.0354436	−	0.201011i
$340$	12.9018	+	4.69589i	0.699701	+	0.254670i
$341$	−18.9432	+	32.8106i	−1.02583	+	1.77679i
$342$	−2.56320	−	3.52562i	−0.138602	−	0.190644i
$343$	−1.83724	−	18.4289i	−0.0992015	−	0.995067i
$344$	−6.02691	+	5.05718i	−0.324949	+	0.272665i
$345$	−3.26132	+	2.73657i	−0.175584	+	0.147332i
$346$	14.5665	−	5.30177i	0.783100	−	0.285025i
$347$	−11.3653	+	9.53659i	−0.610120	+	0.511951i	−0.894680	−	0.446707i	$-0.852597\pi$
$347$	−11.3653	+	9.53659i	−0.610120	+	0.511951i	0.284561	+	0.958658i	$0.408152\pi$
$348$	0.319668	−	1.81293i	0.0171360	−	0.0971832i
$349$	−1.34243	+	2.32516i	−0.0718589	+	0.124463i	−0.899716	−	0.436476i	$-0.856226\pi$
$349$	−1.34243	+	2.32516i	−0.0718589	+	0.124463i	0.827857	+	0.560939i	$0.189560\pi$
$350$	−13.4562	−	7.18561i	−0.719263	−	0.384087i
$351$	−4.67247	−	3.92067i	−0.249398	−	0.209270i
$352$	−4.77831	+	1.73916i	−0.254685	+	0.0926977i
$353$	−3.15266	+	5.46057i	−0.167799	+	0.290637i	−0.937646	−	0.347592i	$-0.886999\pi$
$353$	−3.15266	+	5.46057i	−0.167799	+	0.290637i	0.769847	+	0.638229i	$0.220333\pi$
$354$	10.9261			0.580716
$355$	−8.37976	+	47.5240i	−0.444752	+	2.52231i
$356$	−2.45728	−	13.9359i	−0.130236	−	0.738603i
$357$	−10.9607	−	1.56038i	−0.580101	−	0.0825840i
$358$	−2.10288	−	0.765387i	−0.111141	−	0.0404519i
$359$	1.90771	+	10.8192i	0.100685	+	0.571013i	0.992856	+	0.119316i	$0.0380702\pi$
$359$	1.90771	+	10.8192i	0.100685	+	0.571013i	−0.892171	+	0.451697i	$0.850819\pi$
$360$	1.64056	+	2.84152i	0.0864648	+	0.149762i
$361$	18.5823	−	3.96200i	0.978017	−	0.208527i
$362$	7.44445	−	12.8942i	0.391272	−	0.677703i
$363$	−11.3811	+	9.54987i	−0.597353	+	0.501238i
$364$	10.7768	+	12.0119i	0.564858	+	0.629595i
$365$	−2.40029	+	13.6127i	−0.125637	+	0.712523i
$366$	−5.22117	−	1.90035i	−0.272915	−	0.0993330i
$367$	16.9605	+	14.2316i	0.885331	+	0.742881i	0.967268	−	0.253756i	$-0.0816661\pi$
$367$	16.9605	+	14.2316i	0.885331	+	0.742881i	−0.0819367	+	0.996638i	$0.526111\pi$
$368$	−1.29753			−0.0676387
$369$	−7.24325			−0.377068
$370$	−21.7431	−	18.2447i	−1.13037	−	0.948495i
$371$	3.27193	+	8.14011i	0.169870	+	0.422614i
$372$	3.72532	+	6.45245i	0.193149	+	0.334544i
$373$	−13.5054	−	23.3921i	−0.699284	−	1.21120i	−0.968715	−	0.248176i	$-0.920169\pi$
$373$	−13.5054	−	23.3921i	−0.699284	−	1.21120i	0.269431	−	0.963020i	$-0.413164\pi$
$374$	16.3000	+	13.6773i	0.842854	+	0.707238i
$375$	1.92453	−	1.61487i	0.0993822	−	0.0833916i
$376$	0.991008	+	0.831554i	0.0511073	+	0.0428841i
$377$	10.5513	+	3.84037i	0.543422	+	0.197789i
$378$	−1.76684	−	1.96933i	−0.0908765	−	0.101292i
$379$	−16.9828			−0.872349			−0.436175	−	0.899862i	$-0.643667\pi$
$379$	−16.9828			−0.872349			−0.436175	+	0.899862i	$0.643667\pi$
$380$	−14.2232	+	1.49944i	−0.729635	+	0.0769196i
$381$	−6.03833	−	10.4587i	−0.309353	−	0.535815i
$382$	−5.97090	−	2.17323i	−0.305498	−	0.111192i
$383$	2.98526	−	2.50493i	0.152539	−	0.127996i	−0.563324	−	0.826236i	$-0.690478\pi$
$383$	2.98526	−	2.50493i	0.152539	−	0.127996i	0.715863	+	0.698240i	$0.246033\pi$
$384$	−0.173648	+	0.984808i	−0.00886145	+	0.0502558i
$385$	−29.4786	−	32.8571i	−1.50237	−	1.67455i
$386$	6.34856	−	2.31069i	0.323133	−	0.117611i
$387$	3.93379	+	6.81352i	0.199966	+	0.346351i
$388$	1.59841	−	2.76853i	0.0811470	−	0.140551i
$389$	1.94509	−	11.0312i	0.0986201	−	0.559303i	−0.894958	−	0.446151i	$-0.852794\pi$
$389$	1.94509	−	11.0312i	0.0986201	−	0.559303i	0.993578	−	0.113151i	$-0.0360945\pi$
$390$	−18.8061	+	6.84487i	−0.952285	+	0.346603i
$391$	2.71478	+	4.70213i	0.137292	+	0.237797i
$392$	3.89361	+	5.81720i	0.196657	+	0.293813i
$393$	−8.07015	+	2.93729i	−0.407085	+	0.148167i
$394$	−8.81836	−	3.20962i	−0.444263	−	0.161698i
$395$	53.1431	−	19.3425i	2.67392	−	0.973227i
$396$	0.882997	+	5.00772i	0.0443722	+	0.251648i
$397$	0.831296	+	4.71452i	0.0417216	+	0.236615i	0.998536	−	0.0540832i	$-0.0172236\pi$
$397$	0.831296	+	4.71452i	0.0417216	+	0.236615i	−0.956815	+	0.290698i	$0.906113\pi$
$398$	1.93570			0.0970278
$399$	10.9733	−	3.54762i	0.549355	−	0.177603i
$400$	5.76568			0.288284
$401$	0.168699	+	0.956739i	0.00842442	+	0.0477773i	0.988730	−	0.149708i	$-0.0478335\pi$
$401$	0.168699	+	0.956739i	0.00842442	+	0.0477773i	−0.980306	+	0.197486i	$0.936722\pi$
$402$	−0.730374	−	4.14216i	−0.0364277	−	0.206592i
$403$	−42.7044	+	15.5431i	−2.12726	+	0.774259i
$404$	−13.7116	−	4.99060i	−0.682176	−	0.248292i
$405$	3.08323	−	1.12221i	0.153207	−	0.0557629i
$406$	4.29635	+	2.29426i	0.213224	+	0.113862i
$407$	−21.9941	−	38.0949i	−1.09021	−	1.88829i
$408$	3.93216	−	1.43119i	0.194671	−	0.0708544i
$409$	4.51816	−	25.6238i	0.223409	−	1.26701i	−0.642296	−	0.766457i	$-0.722018\pi$
$409$	4.51816	−	25.6238i	0.223409	−	1.26701i	0.865704	−	0.500556i	$-0.166871\pi$
$410$	−11.8829	+	20.5819i	−0.586857	+	1.01647i
$411$	3.74685	+	6.48973i	0.184818	+	0.320115i
$412$	−9.03506	+	3.28849i	−0.445125	+	0.162012i
$413$	−8.98205	+	27.4769i	−0.441978	+	1.35205i
$414$	−0.225314	+	1.27782i	−0.0110736	+	0.0628015i
$415$	10.9486	−	9.18699i	0.537447	−	0.450972i
$416$	−5.73163	−	2.08614i	−0.281017	−	0.102282i
$417$	10.7799	+	18.6714i	0.527896	+	0.914343i
$418$	−21.5082	−	5.35541i	−1.05200	−	0.261942i
$419$	−13.5924			−0.664032			−0.332016	−	0.943274i	$-0.607729\pi$
$419$	−13.5924			−0.664032			−0.332016	+	0.943274i	$0.607729\pi$
$420$	−8.49451	+	1.78972i	−0.414490	+	0.0873295i
$421$	−22.1620	−	8.06632i	−1.08011	−	0.393129i	−0.260163	−	0.965565i	$-0.583776\pi$
$421$	−22.1620	−	8.06632i	−1.08011	−	0.393129i	−0.819949	+	0.572436i	$0.805998\pi$
$422$	8.25465	+	6.92647i	0.401830	+	0.337175i
$423$	0.991008	−	0.831554i	0.0481844	−	0.0404315i
$424$	−2.54014	−	2.13143i	−0.123360	−	0.103511i
$425$	−12.0633	−	20.8942i	−0.585156	−	1.01352i
$426$	7.35378	+	12.7371i	0.356292	+	0.617116i
$427$	9.07118	−	11.5680i	0.438985	−	0.559813i
$428$	−13.8796	−	11.6463i	−0.670894	−	0.562947i
$429$	−31.0157			−1.49745
$430$	25.8144			1.24488
$431$	8.18295	+	6.86631i	0.394159	+	0.330739i	0.818231	−	0.574890i	$-0.194955\pi$
$431$	8.18295	+	6.86631i	0.394159	+	0.330739i	−0.424072	+	0.905629i	$0.639400\pi$
$432$	0.939693	+	0.342020i	0.0452110	+	0.0164555i
$433$	−3.31716	+	18.8125i	−0.159413	+	0.904073i	0.795228	+	0.606311i	$0.207351\pi$
$433$	−3.31716	+	18.8125i	−0.159413	+	0.904073i	−0.954640	+	0.297762i	$0.903760\pi$
$434$	−19.2891	+	4.06405i	−0.925906	+	0.195081i
$435$	−4.62705	+	3.88255i	−0.221850	+	0.186154i
$436$	−2.92479	+	5.06589i	−0.140072	+	0.242612i
$437$	−4.68988	−	3.16122i	−0.224347	−	0.151222i
$438$	2.10641	+	3.64841i	0.100648	+	0.174328i
$439$	6.58038	+	37.3192i	0.314064	+	1.78115i	0.577420	+	0.816448i	$0.304060\pi$
$439$	6.58038	+	37.3192i	0.314064	+	1.78115i	−0.263355	+	0.964699i	$0.584829\pi$
$440$	15.6782	+	5.70639i	0.747428	+	0.272041i
$441$	6.40494	−	2.82431i	0.304997	−	0.134491i
$442$	4.43209	+	25.1356i	0.210813	+	1.19558i
$443$	−3.91823	+	22.2214i	−0.186161	+	1.05577i	0.738294	+	0.674479i	$0.235632\pi$
$443$	−3.91823	+	22.2214i	−0.186161	+	1.05577i	−0.924455	+	0.381291i	$0.875480\pi$
$444$	−8.65063			−0.410541
$445$	−23.2154	+	40.2102i	−1.10051	+	1.90614i
$446$	18.5982	−	6.76920i	0.880651	−	0.320531i
$447$	−10.8775	−	9.12731i	−0.514488	−	0.431707i
$448$	−2.33384	−	1.24627i	−0.110264	−	0.0588809i
$449$	−1.32378	+	2.29286i	−0.0624731	+	0.108207i	−0.895570	−	0.444920i	$-0.853232\pi$
$449$	−1.32378	+	2.29286i	−0.0624731	+	0.108207i	0.833097	+	0.553127i	$0.186565\pi$
$450$	1.00120	−	5.67809i	0.0471970	−	0.267668i
$451$	−28.2147	+	23.6750i	−1.32858	+	1.11481i
$452$	−3.53145	+	1.28534i	−0.166105	+	0.0604574i
$453$	−11.9198	+	10.0019i	−0.560043	+	0.469932i
$454$	−10.9317	+	9.17279i	−0.513050	+	0.430500i
$455$	−1.75346	−	52.9205i	−0.0822033	−	2.48095i
$456$	−3.02696	+	3.13648i	−0.141750	+	0.146879i
$457$	3.02048	−	5.23162i	0.141292	−	0.244725i	−0.786691	−	0.617347i	$-0.788208\pi$
$457$	3.02048	−	5.23162i	0.141292	−	0.244725i	0.927983	+	0.372621i	$0.121541\pi$
$458$	−11.9279	−	4.34140i	−0.557354	−	0.202860i
$459$	−0.726634	−	4.12094i	−0.0339164	−	0.192349i
$460$	3.26132	+	2.73657i	0.152060	+	0.127593i
$461$	−2.17250	−	12.3209i	−0.101183	−	0.573839i	−0.992676	−	0.120805i	$-0.961452\pi$
$461$	−2.17250	−	12.3209i	−0.101183	−	0.573839i	0.891493	−	0.453035i	$-0.149659\pi$
$462$	−13.3193	−	1.89615i	−0.619669	−	0.0882170i
$463$	−9.28478	+	16.0817i	−0.431500	+	0.747381i	−0.997003	−	0.0773660i	$-0.975349\pi$
$463$	−9.28478	+	16.0817i	−0.431500	+	0.747381i	0.565502	+	0.824747i	$0.308682\pi$
$464$	−1.84090			−0.0854614
$465$	4.24507	−	24.0750i	0.196861	−	1.11645i
$466$	−3.08930	+	17.5203i	−0.143109	+	0.811611i
$467$	17.3096			0.800994			0.400497	−	0.916298i	$-0.368837\pi$
$467$	17.3096			0.800994			0.400497	+	0.916298i	$0.368837\pi$
$468$	−3.04974	+	5.28230i	−0.140974	+	0.244175i
$469$	11.0171	+	1.56841i	0.508722	+	0.0724224i
$470$	−0.737079	−	4.18018i	−0.0339989	−	0.192817i
$471$	5.72158	+	4.80098i	0.263637	+	0.221217i
$472$	−1.89730	−	10.7601i	−0.0873302	−	0.495274i
$473$	37.5937	+	13.6830i	1.72856	+	0.629145i
$474$	8.61807	−	14.9269i	0.395841	−	0.685617i
$475$	20.8398	+	14.0471i	0.956196	+	0.644525i
$476$	0.366629	+	11.0651i	0.0168044	+	0.507169i
$477$	−2.54014	+	2.13143i	−0.116305	+	0.0975914i
$478$	18.6233	−	15.6268i	0.851809	−	0.714752i
$479$	−4.86921	+	1.77225i	−0.222480	+	0.0809760i	−0.450855	−	0.892597i	$-0.648881\pi$
$479$	−4.86921	+	1.77225i	−0.222480	+	0.0809760i	0.228375	+	0.973573i	$0.426659\pi$
$480$	2.51348	−	2.10906i	0.114724	−	0.0962648i
$481$	9.16243	−	51.9627i	0.417771	−	2.36930i
$482$	−9.03727	+	15.6530i	−0.411636	+	0.712975i
$483$	−3.02824	−	1.61708i	−0.137790	−	0.0735798i
$484$	11.3811	+	9.54987i	0.517323	+	0.434085i
$485$	−9.85655	+	3.58749i	−0.447563	+	0.162900i
$486$	0.500000	−	0.866025i	0.0226805	−	0.0392837i
$487$	−2.67947			−0.121418			−0.0607091	−	0.998155i	$-0.519336\pi$
$487$	−2.67947			−0.121418			−0.0607091	+	0.998155i	$0.519336\pi$
$488$	−0.964834	+	5.47184i	−0.0436760	+	0.247699i
$489$	−1.77684	−	10.0769i	−0.0803513	−	0.455695i
$490$	2.48231	−	22.8332i	0.112139	−	1.03150i
$491$	−7.31681	−	2.66310i	−0.330203	−	0.120184i	0.171598	−	0.985167i	$-0.445107\pi$
$491$	−7.31681	−	2.66310i	−0.330203	−	0.120184i	−0.501801	+	0.864983i	$0.667329\pi$
$492$	1.25778	+	7.13321i	0.0567050	+	0.321590i
$493$	3.85163	+	6.67122i	0.173469	+	0.300456i
$494$	−15.6342	−	21.5044i	−0.703416	−	0.967530i
$495$	8.34218	−	14.4491i	0.374953	−	0.649438i
$496$	5.70753	−	4.78919i	0.256276	−	0.215041i
$497$	−38.0766	+	8.02242i	−1.70797	+	0.359855i
$498$	0.756406	−	4.28979i	0.0338954	−	0.192230i
$499$	11.5290	+	4.19621i	0.516109	+	0.187848i	0.586925	−	0.809641i	$-0.300338\pi$
$499$	11.5290	+	4.19621i	0.516109	+	0.187848i	−0.0708163	+	0.997489i	$0.522560\pi$
$500$	−1.92453	−	1.61487i	−0.0860675	−	0.0722192i
$501$	0.572655			0.0255843
$502$	−30.0859			−1.34280
$503$	29.0455	+	24.3720i	1.29507	+	1.08670i	0.990974	+	0.134055i	$0.0428000\pi$
$503$	29.0455	+	24.3720i	1.29507	+	1.08670i	0.304100	+	0.952640i	$0.401644\pi$
$504$	−1.63261	+	2.08197i	−0.0727220	+	0.0927383i
$505$	23.9382	+	41.4623i	1.06524	+	1.84505i
$506$	3.29896	+	5.71397i	0.146657	+	0.254017i
$507$	−18.5411	−	15.5578i	−0.823438	−	0.690946i
$508$	−9.25125	+	7.76272i	−0.410458	+	0.344415i
$509$	18.8519	+	15.8186i	0.835595	+	0.701147i	0.956568	−	0.291509i	$-0.0941572\pi$
$509$	18.8519	+	15.8186i	0.835595	+	0.701147i	−0.120974	+	0.992656i	$0.538602\pi$
$510$	−12.9018	−	4.69589i	−0.571303	−	0.207937i
$511$	−10.9066	+	2.29793i	−0.482481	+	0.101655i
$512$	1.00000			0.0441942
$513$	2.56320	+	3.52562i	0.113168	+	0.155660i
$514$	−4.26422	−	7.38585i	−0.188087	−	0.325776i
$515$	29.6450	+	10.7899i	1.30632	+	0.475460i
$516$	6.02691	−	5.05718i	0.265320	−	0.222630i
$517$	1.14230	−	6.47833i	0.0502385	−	0.284917i
$518$	7.11144	−	21.7546i	0.312459	−	0.955840i
$519$	−14.5665	+	5.30177i	−0.639399	+	0.232722i
$520$	10.0065	+	17.3318i	0.438815	+	0.760051i
$521$	−18.0722	+	31.3020i	−0.791757	+	1.37136i	0.133121	+	0.991100i	$0.457500\pi$
$521$	−18.0722	+	31.3020i	−0.791757	+	1.37136i	−0.924878	+	0.380264i	$0.875833\pi$
$522$	−0.319668	+	1.81293i	−0.0139915	+	0.0793497i
$523$	11.7306	−	4.26957i	0.512942	−	0.186695i	−0.0725642	−	0.997364i	$-0.523118\pi$
$523$	11.7306	−	4.26957i	0.512942	−	0.186695i	0.585506	+	0.810668i	$0.300896\pi$
$524$	4.29404	+	7.43749i	0.187586	+	0.324908i
$525$	13.4562	+	7.18561i	0.587276	+	0.313606i
$526$	14.6736	−	5.34076i	0.639800	−	0.232868i
$527$	−29.2971	−	10.6633i	−1.27620	−	0.464500i
$528$	4.77831	−	1.73916i	0.207949	−	0.0756874i
$529$	−3.70155	−	20.9926i	−0.160937	−	0.912720i
$530$	1.88927	+	10.7146i	0.0820647	+	0.465412i
$531$	−10.9261			−0.474153
$532$	−5.39923	−	10.1906i	−0.234086	−	0.441819i
$533$	−44.1800			−1.91365
$534$	2.45728	+	13.9359i	0.106337	+	0.603067i
$535$	10.3232	+	58.5456i	0.446310	+	2.53115i
$536$	−3.95240	+	1.43856i	−0.170718	+	0.0621361i
$537$	2.10288	+	0.765387i	0.0907461	+	0.0330289i
$538$	−1.18180	+	0.430141i	−0.0509512	+	0.0185447i
$539$	15.7179	−	31.9365i	0.677016	−	1.37560i
$540$	−1.64056	−	2.84152i	−0.0705982	−	0.122280i
$541$	1.80542	−	0.657119i	0.0776210	−	0.0282517i	−0.302918	−	0.953017i	$-0.597961\pi$
$541$	1.80542	−	0.657119i	0.0776210	−	0.0282517i	0.380539	+	0.924765i	$0.375739\pi$
$542$	−1.56808	+	8.89305i	−0.0673550	+	0.381989i
$543$	−7.44445	+	12.8942i	−0.319472	+	0.553342i
$544$	−2.09226	−	3.62390i	−0.0897048	−	0.155373i
$545$	18.0357	−	6.56444i	0.772563	−	0.281190i
$546$	−10.7768	−	12.0119i	−0.461205	−	0.514062i
$547$	3.23467	−	18.3447i	0.138304	−	0.784363i	−0.834197	−	0.551466i	$-0.814068\pi$
$547$	3.23467	−	18.3447i	0.138304	−	0.784363i	0.972501	−	0.232897i	$-0.0748204\pi$
$548$	5.74050	−	4.81685i	0.245222	−	0.205766i
$549$	5.22117	+	1.90035i	0.222834	+	0.0811050i
$550$	−14.6592	−	25.3904i	−0.625069	−	1.08265i
$551$	−6.65384	−	4.48503i	−0.283463	−	0.191069i
$552$	1.29753			0.0552267
$553$	30.4535	+	33.9437i	1.29502	+	1.44343i
$554$	8.05388	+	2.93137i	0.342177	+	0.124542i
$555$	21.7431	+	18.2447i	0.922945	+	0.774443i
$556$	16.5158	−	13.8584i	0.700427	−	0.587728i
$557$	23.2594	+	19.5169i	0.985531	+	0.826959i	0.984915	−	0.173041i	$-0.0553594\pi$
$557$	23.2594	+	19.5169i	0.985531	+	0.826959i	0.000616312		1.00000i	$0.499804\pi$
$558$	−3.72532	−	6.45245i	−0.157706	−	0.273154i
$559$	23.9941	+	41.5589i	1.01484	+	1.75776i
$560$	3.23759	+	8.05468i	0.136813	+	0.340372i
$561$	−16.3000	−	13.6773i	−0.688187	−	0.577458i
$562$	9.62198			0.405879
$563$	−13.7156			−0.578044			−0.289022	−	0.957323i	$-0.593330\pi$
$563$	−13.7156			−0.578044			−0.289022	+	0.957323i	$0.593330\pi$
$564$	−0.991008	−	0.831554i	−0.0417289	−	0.0350147i
$565$	11.5871	+	4.21735i	0.487472	+	0.177425i
$566$	0.330969	−	1.87702i	0.0139117	−	0.0788969i
$567$	1.76684	+	1.96933i	0.0742003	+	0.0827042i
$568$	11.2666	−	9.45384i	0.472738	−	0.396674i
$569$	5.51243	−	9.54781i	0.231093	−	0.400265i	−0.727037	−	0.686598i	$-0.759103\pi$
$569$	5.51243	−	9.54781i	0.231093	−	0.400265i	0.958130	+	0.286333i	$0.0924364\pi$
$570$	14.2232	−	1.49944i	0.595745	−	0.0628046i
$571$	12.6484	+	21.9076i	0.529317	+	0.916804i	0.999415	+	0.0341903i	$0.0108852\pi$
$571$	12.6484	+	21.9076i	0.529317	+	0.916804i	−0.470098	+	0.882614i	$0.655781\pi$
$572$	5.38582	+	30.5445i	0.225192	+	1.27713i
$573$	5.97090	+	2.17323i	0.249438	+	0.0907879i
$574$	−18.9725	−	2.70096i	−0.791898	−	0.112736i
$575$	−1.29909	−	7.36752i	−0.0541759	−	0.307247i
$576$	0.173648	−	0.984808i	0.00723534	−	0.0410337i
$577$	−14.5325			−0.604997			−0.302499	−	0.953150i	$-0.597821\pi$
$577$	−14.5325			−0.604997			−0.302499	+	0.953150i	$0.597821\pi$
$578$	−0.255087	+	0.441823i	−0.0106102	+	0.0183774i
$579$	−6.34856	+	2.31069i	−0.263837	+	0.0960288i
$580$	4.62705	+	3.88255i	0.192128	+	0.161214i
$581$	10.1661	+	5.42873i	0.421762	+	0.225222i
$582$	−1.59841	+	2.76853i	−0.0662563	+	0.114759i
$583$	−2.92794	+	16.6052i	−0.121263	+	0.687716i
$584$	3.22721	−	2.70795i	0.133543	−	0.112056i
$585$	18.8061	−	6.84487i	0.777538	−	0.283001i
$586$	12.4257	−	10.4264i	0.513301	−	0.430711i
$587$	−19.7220	+	16.5488i	−0.814016	+	0.683041i	−0.951563	−	0.307455i	$-0.900523\pi$
$587$	−19.7220	+	16.5488i	−0.814016	+	0.683041i	0.137547	+	0.990495i	$0.456078\pi$
$588$	−3.89361	−	5.81720i	−0.160570	−	0.239897i
$589$	32.2976	−	3.40488i	1.33080	−	0.140296i
$590$	−17.9249	+	31.0468i	−0.737955	+	1.27818i
$591$	8.81836	+	3.20962i	0.362739	+	0.132026i
$592$	1.50217	+	8.51920i	0.0617386	+	0.350137i
$593$	−4.26688	−	3.58034i	−0.175220	−	0.147027i	0.550960	−	0.834532i	$-0.314262\pi$
$593$	−4.26688	−	3.58034i	−0.175220	−	0.147027i	−0.726180	+	0.687505i	$0.758706\pi$
$594$	−0.882997	−	5.00772i	−0.0362298	−	0.205469i
$595$	22.4154	−	28.5851i	0.918944	−	1.17188i
$596$	−7.09978	+	12.2972i	−0.290819	+	0.503712i
$597$	−1.93570			−0.0792229
$598$	−1.37430	+	7.79405i	−0.0561993	+	0.318722i
$599$	−2.55357	+	14.4820i	−0.104336	+	0.591719i	0.887147	+	0.461486i	$0.152684\pi$
$599$	−2.55357	+	14.4820i	−0.104336	+	0.591719i	−0.991483	+	0.130233i	$0.958427\pi$
$600$	−5.76568			−0.235383
$601$	−0.266913	+	0.462307i	−0.0108876	+	0.0188579i	−0.871418	−	0.490541i	$-0.836799\pi$
$601$	−0.266913	+	0.462307i	−0.0108876	+	0.0188579i	0.860530	+	0.509399i	$0.170132\pi$
$602$	7.76322	+	19.3138i	0.316405	+	0.787173i
$603$	0.730374	+	4.14216i	0.0297431	+	0.168682i
$604$	11.9198	+	10.0019i	0.485012	+	0.406973i
$605$	−8.46489	−	48.0068i	−0.344147	−	1.95175i
$606$	13.7116	+	4.99060i	0.556995	+	0.202729i
$607$	12.9639	−	22.4542i	0.526189	−	0.911386i	−0.473345	−	0.880877i	$-0.656954\pi$
$607$	12.9639	−	22.4542i	0.526189	−	0.911386i	0.999534	−	0.0305093i	$-0.00971292\pi$
$608$	3.61446	+	2.43633i	0.146586	+	0.0988062i
$609$	−4.29635	−	2.29426i	−0.174097	−	0.0929680i
$610$	13.9655	−	11.7185i	0.565447	−	0.474467i
$611$	6.04463	−	5.07205i	0.244540	−	0.205193i
$612$	−3.93216	+	1.43119i	−0.158948	+	0.0578524i
$613$	10.6196	−	8.91089i	0.428921	−	0.359907i	−0.402623	−	0.915366i	$-0.631902\pi$
$613$	10.6196	−	8.91089i	0.428921	−	0.359907i	0.831544	+	0.555458i	$0.187457\pi$
$614$	2.82109	−	15.9992i	0.113850	−	0.645675i
$615$	11.8829	−	20.5819i	0.479167	−	0.829941i
$616$	0.445523	+	13.4462i	0.0179506	+	0.541763i
$617$	10.8402	+	9.09597i	0.436408	+	0.366190i	0.834363	−	0.551215i	$-0.185836\pi$
$617$	10.8402	+	9.09597i	0.436408	+	0.366190i	−0.397955	+	0.917405i	$0.630280\pi$
$618$	9.03506	−	3.28849i	0.363443	−	0.132283i
$619$	10.7837	−	18.6779i	0.433432	−	0.750727i	−0.563734	−	0.825956i	$-0.690636\pi$
$619$	10.7837	−	18.6779i	0.433432	−	0.750727i	0.997166	+	0.0752297i	$0.0239690\pi$
$620$	−24.4464			−0.981791
$621$	0.225314	−	1.27782i	0.00904156	−	0.0512772i
$622$	−1.64693	−	9.34022i	−0.0660360	−	0.374509i
$623$	−37.0661	−	5.27678i	−1.48502	−	0.211410i
$624$	5.73163	+	2.08614i	0.229449	+	0.0835126i
$625$	−3.57460	−	20.2726i	−0.142984	−	0.810903i
$626$	−5.60022	−	9.69986i	−0.223830	−	0.387684i
$627$	21.5082	+	5.35541i	0.858954	+	0.213875i
$628$	3.73450	−	6.46834i	0.149023	−	0.258115i
$629$	27.7298	−	23.2681i	1.10566	−	0.927758i
$630$	8.49451	−	1.78972i	0.338429	−	0.0713042i
$631$	2.82760	−	16.0361i	0.112565	−	0.638387i	−0.875362	−	0.483468i	$-0.839377\pi$
$631$	2.82760	−	16.0361i	0.112565	−	0.638387i	0.987927	−	0.154920i	$-0.0495119\pi$
$632$	−16.1967	−	5.89511i	−0.644269	−	0.234495i
$633$	−8.25465	−	6.92647i	−0.328093	−	0.275303i
$634$	5.35528			0.212685
$635$	39.6248			1.57246
$636$	2.54014	+	2.13143i	0.100723	+	0.0845166i
$637$	39.0668	−	17.2268i	1.54788	−	0.682551i
$638$	4.68045	+	8.10678i	0.185301	+	0.320951i
$639$	−7.35378	−	12.7371i	−0.290911	−	0.503873i
$640$	−2.51348	−	2.10906i	−0.0993539	−	0.0833678i
$641$	17.3219	−	14.5348i	0.684175	−	0.574091i	−0.233048	−	0.972465i	$-0.574870\pi$
$641$	17.3219	−	14.5348i	0.684175	−	0.574091i	0.917223	+	0.398374i	$0.130425\pi$
$642$	13.8796	+	11.6463i	0.547783	+	0.459644i
$643$	1.63288	+	0.594319i	0.0643944	+	0.0234376i	0.374017	−	0.927422i	$-0.377980\pi$
$643$	1.63288	+	0.594319i	0.0643944	+	0.0234376i	−0.309622	+	0.950860i	$0.600203\pi$
$644$	−1.06667	+	3.26303i	−0.0420326	+	0.128582i
$645$	−25.8144			−1.01644
$646$	1.26663	−	18.1958i	0.0498349	−	0.715906i
$647$	−17.3167	−	29.9935i	−0.680791	−	1.17916i	−0.974740	−	0.223343i	$-0.928303\pi$
$647$	−17.3167	−	29.9935i	−0.680791	−	1.17916i	0.293949	−	0.955821i	$-0.405030\pi$
$648$	−0.939693	−	0.342020i	−0.0369146	−	0.0134358i
$649$	−42.5606	+	35.7126i	−1.67065	+	1.40184i
$650$	6.10680	−	34.6334i	0.239528	−	1.35843i
$651$	19.2891	−	4.06405i	0.755999	−	0.159283i
$652$	−9.61530	+	3.49968i	−0.376564	+	0.137058i
$653$	3.54784	+	6.14504i	0.138838	+	0.240474i	0.927057	−	0.374921i	$-0.122330\pi$
$653$	3.54784	+	6.14504i	0.138838	+	0.240474i	−0.788219	+	0.615395i	$0.788997\pi$
$654$	2.92479	−	5.06589i	0.114369	−	0.198092i
$655$	4.89313	−	27.7503i	0.191190	−	1.08429i
$656$	6.80643	−	2.47734i	0.265746	−	0.0967237i
$657$	−2.10641	−	3.64841i	−0.0821789	−	0.142338i
$658$	2.90587	−	1.80858i	0.113283	−	0.0705060i
$659$	−0.241219	+	0.0877966i	−0.00939657	+	0.00342007i	−0.346714	−	0.937971i	$-0.612703\pi$
$659$	−0.241219	+	0.0877966i	−0.00939657	+	0.00342007i	0.337318	+	0.941391i	$0.390480\pi$
$660$	−15.6782	−	5.70639i	−0.610272	−	0.222121i
$661$	19.3567	−	7.04527i	0.752889	−	0.274029i	0.0630683	−	0.998009i	$-0.479911\pi$
$661$	19.3567	−	7.04527i	0.752889	−	0.274029i	0.689821	+	0.723980i	$0.257689\pi$
$662$	3.32966	+	18.8835i	0.129411	+	0.733927i
$663$	−4.43209	−	25.1356i	−0.172128	−	0.976186i
$664$	−4.35597			−0.169044
$665$	−7.92172	+	37.0011i	−0.307191	+	1.43484i
$666$	8.65063			0.335205
$667$	0.414780	+	2.35234i	0.0160604	+	0.0910828i
$668$	−0.0994404	−	0.563955i	−0.00384747	−	0.0218201i
$669$	−18.5982	+	6.76920i	−0.719048	+	0.261712i
$670$	12.9683	+	4.72006i	0.501007	+	0.182352i
$671$	26.5495	−	9.66324i	1.02493	−	0.373045i
$672$	2.33384	+	1.24627i	0.0900298	+	0.0480760i
$673$	−5.00862	−	8.67519i	−0.193068	−	0.334404i	0.753197	−	0.657795i	$-0.228511\pi$
$673$	−5.00862	−	8.67519i	−0.193068	−	0.334404i	−0.946266	+	0.323391i	$0.895177\pi$
$674$	16.1776	−	5.88818i	0.623139	−	0.226804i
$675$	−1.00120	+	5.67809i	−0.0385362	+	0.218550i
$676$	−12.1018	+	20.9610i	−0.465455	+	0.806191i
$677$	6.80520	+	11.7869i	0.261545	+	0.453009i	0.966653	−	0.256091i	$-0.0824347\pi$
$677$	6.80520	+	11.7869i	0.261545	+	0.453009i	−0.705108	+	0.709100i	$0.749101\pi$
$678$	3.53145	−	1.28534i	0.135625	−	0.0493633i
$679$	−5.64827	−	6.29561i	−0.216761	−	0.241603i
$680$	−2.38416	+	13.5213i	−0.0914285	+	0.518517i
$681$	10.9317	−	9.17279i	0.418904	−	0.351502i
$682$	−35.6015	−	12.9579i	−1.36325	−	0.496184i
$683$	−12.0124	−	20.8060i	−0.459640	−	0.796121i	0.539301	−	0.842113i	$-0.318688\pi$
$683$	−12.0124	−	20.8060i	−0.459640	−	0.796121i	−0.998942	+	0.0459922i	$0.985355\pi$
$684$	3.02696	−	3.13648i	0.115739	−	0.119926i
$685$	−24.5876			−0.939445
$686$	17.8299	−	5.00947i	0.680749	−	0.191263i
$687$	11.9279	+	4.34140i	0.455078	+	0.165635i
$688$	−6.02691	−	5.05718i	−0.229774	−	0.192803i
$689$	−15.4935	+	13.0006i	−0.590256	+	0.495283i
$690$	−3.26132	−	2.73657i	−0.124156	−	0.104180i
$691$	11.9458	+	20.6908i	0.454441	+	0.787114i	0.998656	−	0.0518313i	$-0.0165058\pi$
$691$	11.9458	+	20.6908i	0.454441	+	0.787114i	−0.544215	+	0.838946i	$0.683172\pi$
$692$	7.75067	+	13.4246i	0.294636	+	0.510325i
$693$	13.3193	+	1.89615i	0.505958	+	0.0720289i
$694$	−11.3653	−	9.53659i	−0.431420	−	0.362004i
$695$	−70.7404			−2.68334
$696$	1.84090			0.0697790
$697$	−23.2184	−	19.4826i	−0.879460	−	0.737955i
$698$	−2.52295	−	0.918279i	−0.0954951	−	0.0347574i
$699$	3.08930	−	17.5203i	0.116848	−	0.662678i
$700$	4.73981	−	14.4995i	0.179148	−	0.548030i
$701$	2.89059	−	2.42549i	0.109176	−	0.0916095i	−0.586566	−	0.809902i	$-0.699520\pi$
$701$	2.89059	−	2.42549i	0.109176	−	0.0916095i	0.695741	+	0.718292i	$0.255076\pi$
$702$	3.04974	−	5.28230i	0.115105	−	0.199368i
$703$	−15.3261	+	34.4521i	−0.578034	+	1.29938i
$704$	−2.54249	−	4.40372i	−0.0958236	−	0.165971i
$705$	0.737079	+	4.18018i	0.0277600	+	0.157435i
$706$	−5.92506	−	2.15655i	−0.222993	−	0.0811627i
$707$	−23.8223	+	30.3792i	−0.895928	+	1.14253i
$708$	1.89730	+	10.7601i	0.0713048	+	0.404390i
$709$	−6.47929	+	36.7459i	−0.243335	+	1.38002i	0.580994	+	0.813908i	$0.302664\pi$
$709$	−6.47929	+	36.7459i	−0.243335	+	1.38002i	−0.824329	+	0.566112i	$0.808447\pi$
$710$	−48.2571			−1.81106
$711$	−8.61807	+	14.9269i	−0.323203	+	0.559804i
$712$	13.2975	−	4.83990i	0.498345	−	0.181383i
$713$	−7.40571	−	6.21413i	−0.277346	−	0.232721i
$714$	−0.366629	−	11.0651i	−0.0137207	−	0.414102i
$715$	50.8830	−	88.1319i	1.90291	−	3.29594i
$716$	0.388597	−	2.20384i	0.0145226	−	0.0823615i
$717$	−18.6233	+	15.6268i	−0.695499	+	0.583593i
$718$	−10.3235	+	3.75746i	−0.385270	+	0.140227i
$719$	30.7779	−	25.8257i	1.14782	−	0.963137i	0.148156	−	0.988964i	$-0.452666\pi$
$719$	30.7779	−	25.8257i	1.14782	−	0.963137i	0.999666	+	0.0258271i	$0.00822193\pi$
$720$	−2.51348	+	2.10906i	−0.0936717	+	0.0785999i
$721$	0.842416	+	25.4247i	0.0313732	+	0.946866i
$722$	7.12860	+	17.6120i	0.265299	+	0.655451i
$723$	9.03727	−	15.6530i	0.336100	−	0.582142i
$724$	13.9910	+	5.09231i	0.519971	+	0.189254i
$725$	−1.84311	−	10.4528i	−0.0684512	−	0.388206i
$726$	−11.3811	−	9.54987i	−0.422392	−	0.354429i
$727$	−7.13264	−	40.4512i	−0.264535	−	1.50025i	−0.770356	−	0.637613i	$-0.779922\pi$
$727$	−7.13264	−	40.4512i	−0.264535	−	1.50025i	0.505822	−	0.862638i	$-0.331189\pi$
$728$	−9.95804	+	12.6989i	−0.369070	+	0.470654i
$729$	−0.500000	+	0.866025i	−0.0185185	+	0.0320750i
$730$	−13.8227			−0.511602
$731$	−5.71685	+	32.4218i	−0.211445	+	1.19917i
$732$	0.964834	−	5.47184i	0.0356613	−	0.202245i
$733$	7.11418			0.262768			0.131384	−	0.991332i	$-0.458058\pi$
$733$	7.11418			0.262768			0.131384	+	0.991332i	$0.458058\pi$
$734$	−11.0702	+	19.1741i	−0.408608	+	0.707730i
$735$	−2.48231	+	22.8332i	−0.0915615	+	0.842217i
$736$	−0.225314	−	1.27782i	−0.00830520	−	0.0471011i
$737$	16.3839	+	13.7477i	0.603509	+	0.506404i
$738$	−1.25778	−	7.13321i	−0.0462994	−	0.262577i
$739$	0.460262	+	0.167522i	0.0169310	+	0.00616238i	0.350472	−	0.936573i	$-0.386021\pi$
$739$	0.460262	+	0.167522i	0.0169310	+	0.00616238i	−0.333541	+	0.942736i	$0.608243\pi$
$740$	14.1918	−	24.5810i	0.521702	−	0.903614i
$741$	15.6342	+	21.5044i	0.574337	+	0.789985i
$742$	−7.44828	+	4.63574i	−0.273435	+	0.170183i
$743$	−11.5635	+	9.70291i	−0.424223	+	0.355965i	−0.829767	−	0.558110i	$-0.811527\pi$
$743$	−11.5635	+	9.70291i	−0.424223	+	0.355965i	0.405544	+	0.914076i	$0.367082\pi$
$744$	−5.70753	+	4.78919i	−0.209248	+	0.175580i
$745$	43.7806	−	15.9348i	1.60400	−	0.583807i
$746$	20.6915	−	17.3622i	0.757570	−	0.635677i
$747$	−0.756406	+	4.28979i	−0.0276755	+	0.156955i
$748$	−10.6391	+	18.4274i	−0.389003	+	0.673773i
$749$	−40.6982	+	25.3302i	−1.48708	+	0.925544i
$750$	1.92453	+	1.61487i	0.0702738	+	0.0589667i
$751$	0.375523	−	0.136679i	0.0137030	−	0.00498749i	−0.335160	−	0.942161i	$-0.608790\pi$
$751$	0.375523	−	0.136679i	0.0137030	−	0.00498749i	0.348863	+	0.937174i	$0.386568\pi$
$752$	−0.646834	+	1.12035i	−0.0235876	+	0.0408550i
$753$	30.0859			1.09639
$754$	−1.94981	+	11.0579i	−0.0710079	+	0.402706i
$755$	−8.86559	−	50.2793i	−0.322652	−	1.82985i
$756$	1.63261	−	2.08197i	0.0593773	−	0.0757205i
$757$	−32.5007	−	11.8293i	−1.18126	−	0.429942i	−0.324611	−	0.945847i	$-0.605234\pi$
$757$	−32.5007	−	11.8293i	−1.18126	−	0.429942i	−0.856646	+	0.515905i	$0.827456\pi$
$758$	−2.94904	−	16.7248i	−0.107114	−	0.607473i
$759$	−3.29896	−	5.71397i	−0.119745	−	0.207404i
$760$	−3.94649	−	13.7468i	−0.143154	−	0.498647i
$761$	14.2805	−	24.7346i	0.517668	−	0.896627i	−0.482122	−	0.876104i	$-0.660134\pi$
$761$	14.2805	−	24.7346i	0.517668	−	0.896627i	0.999789	−	0.0205227i	$-0.00653302\pi$
$762$	9.25125	−	7.76272i	0.335138	−	0.281214i
$763$	10.3353	+	11.5198i	0.374163	+	0.417044i
$764$	1.10338	−	6.25756i	0.0399188	−	0.226391i
$765$	12.9018	+	4.69589i	0.466467	+	0.169780i
$766$	2.98526	+	2.50493i	0.107862	+	0.0905067i
$767$	−66.6435			−2.40636
$768$	−1.00000			−0.0360844
$769$	25.2138	+	21.1569i	0.909232	+	0.762936i	0.971973	−	0.235094i	$-0.0755398\pi$
$769$	25.2138	+	21.1569i	0.909232	+	0.762936i	−0.0627410	+	0.998030i	$0.519984\pi$
$770$	27.2390	−	34.7363i	0.981625	−	1.25181i
$771$	4.26422	+	7.38585i	0.153572	+	0.265995i
$772$	3.37800	+	5.85086i	0.121577	+	0.210577i
$773$	−11.0022	−	9.23192i	−0.395721	−	0.332049i	0.423116	−	0.906075i	$-0.360936\pi$
$773$	−11.0022	−	9.23192i	−0.395721	−	0.332049i	−0.818837	+	0.574026i	$0.805381\pi$
$774$	−6.02691	+	5.05718i	−0.216633	+	0.181777i
$775$	32.9078	+	27.6129i	1.18208	+	0.991886i
$776$	3.00403	+	1.09338i	0.107838	+	0.0392500i
$777$	−7.11144	+	21.7546i	−0.255121	+	0.780440i
$778$	11.2013			0.401588
$779$	30.6371	+	7.62847i	1.09769	+	0.273318i
$780$	−10.0065	−	17.3318i	−0.358291	−	0.620579i
$781$	−70.2773	−	25.5789i	−2.51472	−	0.915284i
$782$	−4.15928	+	3.49005i	−0.148736	+	0.124804i
$783$	0.319668	−	1.81293i	0.0114240	−	0.0647888i
$784$	−5.05271	+	4.84460i	−0.180454	+	0.173021i
$785$	−23.0287	+	8.38175i	−0.821929	+	0.299158i
$786$	−4.29404	−	7.43749i	−0.153163	−	0.265286i
$787$	6.37018	−	11.0335i	0.227073	−	0.393301i	−0.729867	−	0.683590i	$-0.760418\pi$
$787$	6.37018	−	11.0335i	0.227073	−	0.393301i	0.956939	+	0.290288i	$0.0937512\pi$
$788$	1.62957	−	9.24174i	0.0580509	−	0.329223i
$789$	−14.6736	+	5.34076i	−0.522395	+	0.190136i
$790$	28.2768	+	48.9769i	1.00604	+	1.74252i
$791$	0.329267	+	9.93752i	0.0117074	+	0.353338i
$792$	−4.77831	+	1.73916i	−0.169790	+	0.0617985i
$793$	31.8464	+	11.5912i	1.13090	+	0.411614i
$794$	−4.49854	+	1.63733i	−0.159647	+	0.0581068i
$795$	−1.88927	−	10.7146i	−0.0670055	−	0.380007i
$796$	0.336131	+	1.90629i	0.0119138	+	0.0675667i
$797$	−16.1670			−0.572663			−0.286332	−	0.958131i	$-0.592436\pi$
$797$	−16.1670			−0.572663			−0.286332	+	0.958131i	$0.592436\pi$
$798$	5.39923	+	10.1906i	0.191131	+	0.360743i
$799$	5.41338			0.191512
$800$	1.00120	+	5.67809i	0.0353978	+	0.200751i
$801$	−2.45728	−	13.9359i	−0.0868237	−	0.492402i
$802$	−0.912910	+	0.332272i	−0.0322360	+	0.0117329i
$803$	−20.1302	−	7.32678i	−0.710378	−	0.258557i
$804$	3.95240	−	1.43856i	0.139390	−	0.0507339i
$805$	9.56297	−	5.95190i	0.337050	−	0.209777i
$806$	−22.7225	−	39.3566i	−0.800367	−	1.38628i
$807$	1.18180	−	0.430141i	0.0416015	−	0.0151417i
$808$	2.53380	−	14.3699i	0.0891387	−	0.505530i
$809$	−2.83882	+	4.91698i	−0.0998076	+	0.172872i	−0.911605	−	0.411067i	$-0.865156\pi$
$809$	−2.83882	+	4.91698i	−0.0998076	+	0.172872i	0.811797	+	0.583939i	$0.198489\pi$
$810$	1.64056	+	2.84152i	0.0576432	+	0.0998410i
$811$	28.1796	−	10.2565i	0.989521	−	0.360156i	0.203986	−	0.978974i	$-0.434610\pi$
$811$	28.1796	−	10.2565i	0.989521	−	0.360156i	0.785535	+	0.618818i	$0.212388\pi$
$812$	−1.51335	+	4.62948i	−0.0531081	+	0.162463i
$813$	1.56808	−	8.89305i	0.0549951	−	0.311893i
$814$	33.6969	−	28.2751i	1.18108	−	0.991041i
$815$	31.5489	+	11.4829i	1.10511	+	0.402227i
$816$	2.09226	+	3.62390i	0.0732437	+	0.126862i
$817$	−9.46306	−	32.9625i	−0.331071	−	1.15321i
$818$	26.0190			0.909734
$819$	10.7768	+	12.0119i	0.376572	+	0.419730i
$820$	−22.3326	−	8.12841i	−0.779889	−	0.283857i
$821$	−27.4755	−	23.0547i	−0.958902	−	0.804614i	0.0218724	−	0.999761i	$-0.493037\pi$
$821$	−27.4755	−	23.0547i	−0.958902	−	0.804614i	−0.980774	+	0.195147i	$0.937482\pi$
$822$	−5.74050	+	4.81685i	−0.200223	+	0.168007i
$823$	35.5209	+	29.8055i	1.23818	+	1.03896i	0.997664	+	0.0683103i	$0.0217608\pi$
$823$	35.5209	+	29.8055i	1.23818	+	1.03896i	0.240515	+	0.970645i	$0.422684\pi$
$824$	−4.80745	−	8.32676i	−0.167476	−	0.290076i
$825$	14.6592	+	25.3904i	0.510367	+	0.883982i
$826$	−28.6192	−	4.07427i	−0.995789	−	0.141762i
$827$	−19.8980	−	16.6964i	−0.691920	−	0.580590i	0.227542	−	0.973768i	$-0.426931\pi$
$827$	−19.8980	−	16.6964i	−0.691920	−	0.580590i	−0.919462	+	0.393178i	$0.871375\pi$
$828$	−1.29753			−0.0450924
$829$	−47.1738			−1.63841			−0.819207	−	0.573498i	$-0.805586\pi$
$829$	−47.1738			−1.63841			−0.819207	+	0.573498i	$0.805586\pi$
$830$	10.9486	+	9.18699i	0.380032	+	0.318885i
$831$	−8.05388	−	2.93137i	−0.279386	−	0.101688i
$832$	1.05916	−	6.00681i	0.0367199	−	0.208249i
$833$	28.1279	+	8.17433i	0.974574	+	0.283224i
$834$	−16.5158	+	13.8584i	−0.571897	+	0.479878i
$835$	−0.939472	+	1.62721i	−0.0325118	+	0.0563120i
$836$	1.53919	−	22.1114i	0.0532342	−	0.764738i
$837$	3.72532	+	6.45245i	0.128766	+	0.223029i
$838$	−2.36029	−	13.3859i	−0.0815350	−	0.462408i
$839$	43.6825	+	15.8991i	1.50809	+	0.548899i	0.958140	−	0.286301i	$-0.0924257\pi$
$839$	43.6825	+	15.8991i	1.50809	+	0.548899i	0.549947	+	0.835200i	$0.314648\pi$
$840$	−3.23759	−	8.05468i	−0.111707	−	0.277913i
$841$	−4.44732	−	25.2220i	−0.153356	−	0.869725i
$842$	4.09538	−	23.2261i	0.141136	−	0.800423i
$843$	−9.62198			−0.331399
$844$	−5.38784	+	9.33201i	−0.185457	+	0.321221i
$845$	74.6255	−	27.1615i	2.56720	−	0.934383i
$846$	0.991008	+	0.831554i	0.0340715	+	0.0285894i
$847$	33.3721	−	20.7704i	1.14668	−	0.713681i
$848$	1.65796	−	2.87166i	0.0569345	−	0.0986134i
$849$	−0.330969	+	1.87702i	−0.0113588	+	0.0644191i
$850$	18.4820	−	15.5083i	0.633929	−	0.531930i
$851$	10.5476	−	3.83900i	0.361566	−	0.131599i
$852$	−11.2666	+	9.45384i	−0.385989	+	0.323883i
$853$	−41.0718	+	34.4633i	−1.40627	+	1.18000i	−0.448039	+	0.894014i	$0.647877\pi$
$853$	−41.0718	+	34.4633i	−1.40627	+	1.18000i	−0.958233	+	0.285988i	$0.907678\pi$
$854$	12.9674	+	6.92461i	0.443736	+	0.236955i
$855$	−14.2232	+	1.49944i	−0.486423	+	0.0512798i
$856$	9.05925	−	15.6911i	0.309639	−	0.536310i
$857$	17.1240	+	6.23262i	0.584944	+	0.212902i	0.617504	−	0.786568i	$-0.288144\pi$
$857$	17.1240	+	6.23262i	0.584944	+	0.212902i	−0.0325604	+	0.999470i	$0.510366\pi$
$858$	−5.38582	−	30.5445i	−0.183869	−	1.04277i
$859$	33.3023	+	27.9440i	1.13626	+	0.953436i	0.999310	−	0.0371417i	$-0.0118253\pi$
$859$	33.3023	+	27.9440i	1.13626	+	0.953436i	0.136951	+	0.990578i	$0.456270\pi$
$860$	4.48262	+	25.4222i	0.152856	+	0.866890i
$861$	18.9725	+	2.70096i	0.646582	+	0.0920484i
$862$	−5.34104	+	9.25096i	−0.181917	+	0.315089i
$863$	8.43526			0.287139			0.143570	−	0.989640i	$-0.454142\pi$
$863$	8.43526			0.287139			0.143570	+	0.989640i	$0.454142\pi$
$864$	−0.173648	+	0.984808i	−0.00590763	+	0.0335038i
$865$	8.83203	−	50.0889i	0.300298	−	1.70307i
$866$	−19.1028			−0.649138
$867$	0.255087	−	0.441823i	0.00866320	−	0.0150051i
$868$	−7.35182	−	18.2903i	−0.249537	−	0.620814i
$869$	15.2195	+	86.3138i	0.516285	+	2.92800i
$870$	−4.62705	−	3.88255i	−0.156872	−	0.131631i
$871$	4.45490	+	25.2650i	0.150948	+	0.856071i
$872$	−5.49682	−	2.00068i	−0.186146	−	0.0677515i
$873$	1.59841	−	2.76853i	0.0540980	−	0.0937005i
$874$	2.29881	−	5.16757i	0.0777583	−	0.174796i
$875$	−5.64317	+	3.51225i	−0.190774	+	0.118736i
$876$	−3.22721	+	2.70795i	−0.109037	+	0.0914931i
$877$	0.773434	−	0.648988i	0.0261170	−	0.0219148i	−0.629636	−	0.776891i	$-0.716796\pi$
$877$	0.773434	−	0.648988i	0.0261170	−	0.0219148i	0.655753	+	0.754976i	$0.272351\pi$
$878$	−35.6095	+	12.9608i	−1.20176	+	0.437406i
$879$	−12.4257	+	10.4264i	−0.419109	+	0.351674i
$880$	−2.89721	+	16.4309i	−0.0976649	+	0.553885i
$881$	20.7154	−	35.8801i	0.697918	−	1.20883i	−0.271269	−	0.962504i	$-0.587443\pi$
$881$	20.7154	−	35.8801i	0.697918	−	1.20883i	0.969187	−	0.246326i	$-0.0792235\pi$
$882$	3.89361	+	5.81720i	0.131105	+	0.195875i
$883$	21.4600	+	18.0071i	0.722187	+	0.605987i	0.927989	−	0.372606i	$-0.121536\pi$
$883$	21.4600	+	18.0071i	0.722187	+	0.605987i	−0.205802	+	0.978594i	$0.565980\pi$
$884$	−23.9841	+	8.72950i	−0.806673	+	0.293605i
$885$	17.9249	−	31.0468i	0.602538	−	1.04363i
$886$	−22.5642			−0.758059
$887$	−6.25287	+	35.4618i	−0.209951	+	1.19069i	0.679505	+	0.733670i	$0.262194\pi$
$887$	−6.25287	+	35.4618i	−0.209951	+	1.19069i	−0.889456	+	0.457020i	$0.848917\pi$
$888$	−1.50217	−	8.51920i	−0.0504094	−	0.285886i
$889$	11.9165	+	29.6465i	0.399665	+	0.994313i
$890$	−43.6306	−	15.8802i	−1.46250	−	0.532307i
$891$	0.882997	+	5.00772i	0.0295815	+	0.167765i
$892$	9.89590	+	17.1402i	0.331339	+	0.573897i
$893$	−5.06750	+	2.47355i	−0.169577	+	0.0827744i
$894$	7.09978	−	12.2972i	0.237452	−	0.411280i
$895$	−5.62476	+	4.71973i	−0.188015	+	0.157763i
$896$	0.822072	−	2.51480i	0.0274635	−	0.0840134i
$897$	1.37430	−	7.79405i	0.0458866	−	0.260236i
$898$	−2.48790	−	0.905520i	−0.0830222	−	0.0302176i
$899$	−10.5070	−	8.81639i	−0.350427	−	0.294043i
$900$	5.76568			0.192189
$901$	−13.8755			−0.462260
$902$	−28.2147	−	23.6750i	−0.939448	−	0.788291i
$903$	−7.76322	−	19.3138i	−0.258344	−	0.642724i
$904$	−1.87905	−	3.25460i	−0.0624961	−	0.108246i
$905$	−24.4261	−	42.3072i	−0.811950	−	1.40634i
$906$	−11.9198	−	10.0019i	−0.396010	−	0.332292i
$907$	−42.5896	+	35.7369i	−1.41416	+	1.18662i	−0.459784	+	0.888031i	$0.652073\pi$
$907$	−42.5896	+	35.7369i	−1.41416	+	1.18662i	−0.954380	+	0.298594i	$0.903482\pi$
$908$	−10.9317	−	9.17279i	−0.362781	−	0.304410i
$909$	−13.7116	−	4.99060i	−0.454784	−	0.165528i
$910$	51.8121	−	10.9164i	1.71755	−	0.361874i
$911$	37.1071			1.22941			0.614706	−	0.788756i	$-0.289275\pi$
$911$	37.1071			1.22941			0.614706	+	0.788756i	$0.289275\pi$
$912$	−3.61446	−	2.43633i	−0.119687	−	0.0806749i
$913$	11.0750	+	19.1825i	0.366529	+	0.634847i
$914$	5.67664	+	2.06613i	0.187767	+	0.0683415i
$915$	−13.9655	+	11.7185i	−0.461686	+	0.387400i
$916$	2.20419	−	12.5006i	0.0728284	−	0.413030i
$917$	22.2338	−	4.68447i	0.734224	−	0.154695i
$918$	3.93216	−	1.43119i	0.129781	−	0.0472363i
$919$	−7.96392	−	13.7939i	−0.262705	−	0.455019i	0.704255	−	0.709948i	$-0.251281\pi$
$919$	−7.96392	−	13.7939i	−0.262705	−	0.455019i	−0.966960	+	0.254929i	$0.917948\pi$
$920$	−2.12868	+	3.68698i	−0.0701804	+	0.121556i
$921$	−2.82109	+	15.9992i	−0.0929580	+	0.527191i
$922$	11.7564	−	4.27899i	0.387177	−	0.140921i
$923$	−44.8542	−	77.6898i	−1.47639	−	2.55719i
$924$	−0.445523	−	13.4462i	−0.0146566	−	0.442347i
$925$	−46.8688	+	17.0589i	−1.54104	+	0.560892i
$926$	−17.4497	−	6.35117i	−0.573432	−	0.208712i
$927$	−9.03506	+	3.28849i	−0.296750	+	0.108008i
$928$	−0.319668	−	1.81293i	−0.0104936	−	0.0595123i
$929$	2.45754	+	13.9374i	0.0806294	+	0.457272i	0.998214	+	0.0597324i	$0.0190247\pi$
$929$	2.45754	+	13.9374i	0.0806294	+	0.457272i	−0.917585	+	0.397539i	$0.869864\pi$
$930$	24.4464			0.801629
$931$	−30.0658	+	5.20055i	−0.985368	+	0.170441i
$932$	−17.7906			−0.582749
$933$	1.64693	+	9.34022i	0.0539182	+	0.305785i
$934$	3.00579	+	17.0467i	0.0983523	+	0.557784i
$935$	65.6056	−	23.8785i	2.14553	−	0.780909i
$936$	−5.73163	−	2.08614i	−0.187344	−	0.0681878i
$937$	6.47044	−	2.35505i	0.211380	−	0.0769361i	−0.234160	−	0.972198i	$-0.575234\pi$
$937$	6.47044	−	2.35505i	0.211380	−	0.0769361i	0.445540	+	0.895262i	$0.353012\pi$
$938$	0.368516	+	11.1221i	0.0120325	+	0.363149i
$939$	5.60022	+	9.69986i	0.182756	+	0.316543i
$940$	3.98868	−	1.45176i	0.130097	−	0.0473513i
$941$	−2.35013	+	13.3282i	−0.0766120	+	0.434488i	0.922241	+	0.386614i	$0.126356\pi$
$941$	−2.35013	+	13.3282i	−0.0766120	+	0.434488i	−0.998853	+	0.0478736i	$0.984756\pi$
$942$	−3.73450	+	6.46834i	−0.121677	+	0.210750i
$943$	−4.69918	−	8.13922i	−0.153026	−	0.265049i
$944$	10.2672	−	3.73695i	0.334168	−	0.121627i
$945$	−8.49451	+	1.78972i	−0.276326	+	0.0582197i
$946$	−6.94704	+	39.3986i	−0.225868	+	1.28096i
$947$	7.20655	−	6.04701i	0.234181	−	0.196502i	−0.518144	−	0.855294i	$-0.673377\pi$
$947$	7.20655	−	6.04701i	0.234181	−	0.196502i	0.752325	+	0.658792i	$0.228932\pi$
$948$	16.1967	+	5.89511i	0.526043	+	0.191464i
$949$	−12.8480	−	22.2534i	−0.417064	−	0.722375i
$950$	−10.2149	+	22.9625i	−0.331415	+	0.745001i
$951$	−5.35528			−0.173657
$952$	−10.8333	+	2.28250i	−0.351111	+	0.0739761i
$953$	19.7467	+	7.18721i	0.639658	+	0.232817i	0.641430	−	0.767182i	$-0.278342\pi$
$953$	19.7467	+	7.18721i	0.639658	+	0.232817i	−0.00177133	+	0.999998i	$0.500564\pi$
$954$	−2.54014	−	2.13143i	−0.0822400	−	0.0690075i
$955$	−15.9709	+	13.4011i	−0.516805	+	0.433651i
$956$	18.6233	+	15.6268i	0.602320	+	0.505406i
$957$	−4.68045	−	8.10678i	−0.151298	−	0.262055i
$958$	−2.59085	−	4.48748i	−0.0837066	−	0.144984i
$959$	−7.39429	−	18.3960i	−0.238774	−	0.594037i
$960$	2.51348	+	2.10906i	0.0811221	+	0.0680695i
$961$	24.5122			0.790715
$962$	52.7643			1.70119
$963$	−13.8796	−	11.6463i	−0.447263	−	0.375298i
$964$	−16.9845	−	6.18186i	−0.547034	−	0.199104i
$965$	3.84929	−	21.8304i	0.123913	−	0.702745i
$966$	1.06667	−	3.26303i	0.0343194	−	0.104986i
$967$	−17.2970	+	14.5139i	−0.556235	+	0.466736i	−0.877046	−	0.480407i	$-0.840489\pi$
$967$	−17.2970	+	14.5139i	−0.556235	+	0.466736i	0.320811	+	0.947143i	$0.396045\pi$
$968$	−7.42848	+	12.8665i	−0.238760	+	0.413545i
$969$	−1.26663	+	18.1958i	−0.0406900	+	0.584535i
$970$	−5.24456	−	9.08385i	−0.168393	−	0.291665i
$971$	−1.16102	−	6.58448i	−0.0372590	−	0.211306i	0.960494	−	0.278299i	$-0.0897706\pi$
$971$	−1.16102	−	6.58448i	−0.0372590	−	0.211306i	−0.997753	+	0.0669929i	$0.978660\pi$
$972$	0.939693	+	0.342020i	0.0301407	+	0.0109703i
$973$	−21.2739	−	52.9266i	−0.682010	−	1.69675i
$974$	−0.465285	−	2.63876i	−0.0149087	−	0.0845513i
$975$	−6.10680	+	34.6334i	−0.195574	+	1.10916i
$976$	−5.55626			−0.177851
$977$	22.4424	−	38.8713i	0.717995	−	1.24360i	−0.243798	−	0.969826i	$-0.578394\pi$
$977$	22.4424	−	38.8713i	0.717995	−	1.24360i	0.961793	−	0.273777i	$-0.0882731\pi$
$978$	9.61530	−	3.49968i	0.307464	−	0.111908i
$979$	−55.1223	−	46.2531i	−1.76172	−	1.47826i
$980$	22.9174	−	1.52035i	0.732069	−	0.0485657i
$981$	−2.92479	+	5.06589i	−0.0933815	+	0.161742i
$982$	1.35209	−	7.66810i	0.0431470	−	0.244699i
$983$	28.7902	−	24.1578i	0.918264	−	0.770515i	−0.0554095	−	0.998464i	$-0.517646\pi$
$983$	28.7902	−	24.1578i	0.918264	−	0.770515i	0.973673	+	0.227949i	$0.0732020\pi$
$984$	−6.80643	+	2.47734i	−0.216981	+	0.0789746i
$985$	−23.5872	+	19.7920i	−0.751552	+	0.630627i
$986$	−5.90104	+	4.95156i	−0.187927	+	0.157690i
$987$	−2.90587	+	1.80858i	−0.0924948	+	0.0575679i
$988$	18.4629	−	19.1309i	0.587382	−	0.608635i
$989$	−5.10423	+	8.84078i	−0.162305	+	0.281120i
$990$	15.6782	+	5.70639i	0.498285	+	0.181361i
$991$	1.16470	+	6.60533i	0.0369978	+	0.209825i	0.997703	−	0.0677474i	$-0.0215812\pi$
$991$	1.16470	+	6.60533i	0.0369978	+	0.209825i	−0.960705	+	0.277573i	$0.910470\pi$
$992$	5.70753	+	4.78919i	0.181214	+	0.152057i
$993$	−3.32966	−	18.8835i	−0.105664	−	0.599248i
$994$	−14.5125	−	36.1051i	−0.460308	−	1.14518i
$995$	3.17562	−	5.50034i	0.100674	−	0.174372i
$996$	4.35597			0.138024
$997$	5.23487	−	29.6884i	0.165790	−	0.940242i	−0.782456	−	0.622706i	$-0.786033\pi$
$997$	5.23487	−	29.6884i	0.165790	−	0.940242i	0.948246	−	0.317536i	$-0.102856\pi$
$998$	−2.13047	+	12.0825i	−0.0674390	+	0.382465i
$999$	−8.65063			−0.273694

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bp.f.709.7	yes	42
7.4	even	3		798.2.bq.e.25.1	yes	42
19.16	even	9		798.2.bq.e.415.1	yes	42
133.130	even	9	inner	798.2.bp.f.529.7	✓	42

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bp.f.529.7	✓	42	133.130	even	9	inner
798.2.bp.f.709.7	yes	42	1.1	even	1	trivial
798.2.bq.e.25.1	yes	42	7.4	even	3
798.2.bq.e.415.1	yes	42	19.16	even	9

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.bp (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.173648 + 0.984808i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(3.08323 + 1.12221i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.0876156 + 2.64430i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})\)	\(q+(0.173648 + 0.984808i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(3.08323 + 1.12221i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.0876156 + 2.64430i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(-0.569759 + 3.23126i) q^{10} +(-2.54249 + 4.40372i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-5.73163 + 2.08614i) q^{13} +(-2.58891 + 0.545462i) q^{14} +(0.569759 - 3.23126i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-3.93216 - 1.43119i) q^{17} +(-0.500000 - 0.866025i) q^{18} +(4.33488 - 0.456992i) q^{19} -3.28111 q^{20} +(2.58891 - 0.545462i) q^{21} +(-4.77831 - 1.73916i) q^{22} +(-0.993969 - 0.834039i) q^{23} +(-0.766044 + 0.642788i) q^{24} +(4.41677 + 3.70611i) q^{25} +(-3.04974 - 5.28230i) q^{26} +(0.500000 + 0.866025i) q^{27} +(-0.986736 - 2.45486i) q^{28} +(-1.41021 - 1.18330i) q^{29} +3.28111 q^{30} +7.45065 q^{31} +(0.766044 + 0.642788i) q^{32} +(4.77831 + 1.73916i) q^{33} +(0.726634 - 4.12094i) q^{34} +(-2.69731 + 8.25132i) q^{35} +(0.766044 - 0.642788i) q^{36} +(-4.32531 + 7.49166i) q^{37} +(1.20279 + 4.18966i) q^{38} +(3.04974 + 5.28230i) q^{39} +(-0.569759 - 3.23126i) q^{40} +(6.80643 + 2.47734i) q^{41} +(0.986736 + 2.45486i) q^{42} +(-1.36619 - 7.74805i) q^{43} +(0.882997 - 5.00772i) q^{44} -3.28111 q^{45} +(0.648767 - 1.12370i) q^{46} +(-1.21565 + 0.442461i) q^{47} +(-0.766044 - 0.642788i) q^{48} +(-6.98465 + 0.463364i) q^{49} +(-2.88284 + 4.99323i) q^{50} +(-0.726634 + 4.12094i) q^{51} +(4.67247 - 3.92067i) q^{52} +(3.11594 - 1.13411i) q^{53} +(-0.766044 + 0.642788i) q^{54} +(-12.7810 + 10.7245i) q^{55} +(2.24622 - 1.39803i) q^{56} +(-1.20279 - 4.18966i) q^{57} +(0.920448 - 1.59426i) q^{58} +(10.2672 + 3.73695i) q^{59} +(0.569759 + 3.23126i) q^{60} +(-4.25634 - 3.57149i) q^{61} +(1.29379 + 7.33746i) q^{62} +(-0.986736 - 2.45486i) q^{63} +(-0.500000 + 0.866025i) q^{64} -20.0131 q^{65} +(-0.882997 + 5.00772i) q^{66} +(0.730374 - 4.14216i) q^{67} +4.18452 q^{68} +(-0.648767 + 1.12370i) q^{69} +(-8.59435 - 1.22350i) q^{70} +(2.55394 + 14.4841i) q^{71} +(0.766044 + 0.642788i) q^{72} +(0.731548 + 4.14882i) q^{73} +(-8.12893 - 2.95869i) q^{74} +(2.88284 - 4.99323i) q^{75} +(-3.91715 + 1.91205i) q^{76} +(-11.8675 - 6.33727i) q^{77} +(-4.67247 + 3.92067i) q^{78} +(13.2036 - 11.0792i) q^{79} +(3.08323 - 1.12221i) q^{80} +(0.766044 - 0.642788i) q^{81} +(-1.25778 + 7.13321i) q^{82} +(2.17799 - 3.77238i) q^{83} +(-2.24622 + 1.39803i) q^{84} +(-10.5177 - 8.82538i) q^{85} +(7.39310 - 2.69087i) q^{86} +(-0.920448 + 1.59426i) q^{87} +5.08497 q^{88} +(-2.45728 + 13.9359i) q^{89} +(-0.569759 - 3.23126i) q^{90} +(-6.01857 - 14.9734i) q^{91} +(1.21928 + 0.443783i) q^{92} +(-1.29379 - 7.33746i) q^{93} +(-0.646834 - 1.12035i) q^{94} +(13.8783 + 3.45561i) q^{95} +(0.500000 - 0.866025i) q^{96} +(-2.44891 + 2.05488i) q^{97} +(-1.66920 - 6.79807i) q^{98} +(0.882997 - 5.00772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 42 q + 6 q^{5} - 21 q^{8}+O(q^{10}) \) 42 * q + 6 * q^5 - 21 * q^8	\( 42 q + 6 q^{5} - 21 q^{8} - 3 q^{10} - 9 q^{11} + 21 q^{12} - 24 q^{13} - 3 q^{14} + 3 q^{15} - 21 q^{18} + 18 q^{19} - 6 q^{20} + 3 q^{21} - 3 q^{22} + 15 q^{23} - 18 q^{25} + 9 q^{26} + 21 q^{27} - 12 q^{28} + 9 q^{29} + 6 q^{30} - 6 q^{31} + 3 q^{33} + 9 q^{34} + 12 q^{35} - 15 q^{37} + 9 q^{38} - 9 q^{39} - 3 q^{40} + 3 q^{41} + 12 q^{42} + 6 q^{44} - 6 q^{45} - 18 q^{46} + 15 q^{47} - 30 q^{50} - 9 q^{51} + 21 q^{52} + 12 q^{53} - 15 q^{55} - 9 q^{57} - 18 q^{58} + 6 q^{59} + 3 q^{60} - 3 q^{61} + 6 q^{62} - 12 q^{63} - 21 q^{64} + 72 q^{65} - 6 q^{66} + 3 q^{67} - 36 q^{68} + 18 q^{69} - 6 q^{70} + 12 q^{71} + 9 q^{73} + 12 q^{74} + 30 q^{75} + 51 q^{77} - 21 q^{78} - 51 q^{79} + 6 q^{80} + 12 q^{82} + 24 q^{83} - 6 q^{85} + 9 q^{86} + 18 q^{87} + 18 q^{88} + 12 q^{89} - 3 q^{90} + 6 q^{92} - 6 q^{93} + 30 q^{94} - 21 q^{95} + 21 q^{96} - 27 q^{97} + 36 q^{98} + 6 q^{99}+O(q^{100}) \) 42 * q + 6 * q^5 - 21 * q^8 - 3 * q^10 - 9 * q^11 + 21 * q^12 - 24 * q^13 - 3 * q^14 + 3 * q^15 - 21 * q^18 + 18 * q^19 - 6 * q^20 + 3 * q^21 - 3 * q^22 + 15 * q^23 - 18 * q^25 + 9 * q^26 + 21 * q^27 - 12 * q^28 + 9 * q^29 + 6 * q^30 - 6 * q^31 + 3 * q^33 + 9 * q^34 + 12 * q^35 - 15 * q^37 + 9 * q^38 - 9 * q^39 - 3 * q^40 + 3 * q^41 + 12 * q^42 + 6 * q^44 - 6 * q^45 - 18 * q^46 + 15 * q^47 - 30 * q^50 - 9 * q^51 + 21 * q^52 + 12 * q^53 - 15 * q^55 - 9 * q^57 - 18 * q^58 + 6 * q^59 + 3 * q^60 - 3 * q^61 + 6 * q^62 - 12 * q^63 - 21 * q^64 + 72 * q^65 - 6 * q^66 + 3 * q^67 - 36 * q^68 + 18 * q^69 - 6 * q^70 + 12 * q^71 + 9 * q^73 + 12 * q^74 + 30 * q^75 + 51 * q^77 - 21 * q^78 - 51 * q^79 + 6 * q^80 + 12 * q^82 + 24 * q^83 - 6 * q^85 + 9 * q^86 + 18 * q^87 + 18 * q^88 + 12 * q^89 - 3 * q^90 + 6 * q^92 - 6 * q^93 + 30 * q^94 - 21 * q^95 + 21 * q^96 - 27 * q^97 + 36 * q^98 + 6 * q^99

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