LMFDB - Embedded newform 98.2.e.a.43.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

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

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

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, 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:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} + \cdots + 729 $ x^18 - 6x^17 + 15x^16 - 23x^15 + 72x^14 - 85x^13 + 432x^12 - 282x^11 + 1786x^10 - 1092x^9 + 7272x^8 - 10168x^7 + 25378x^6 - 43359x^5 + 57726x^4 - 56565x^3 + 38232x^2 - 6804*x + 729
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 7 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			43.1
Root			$-1.88755 - 0.908997i$ of defining polynomial
Character	$\chi$	$=$	98.43
Dual form			98.2.e.a.57.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.623490 - 0.781831i) q^{2} +(-2.78852 - 1.34288i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.309110 - 0.148859i) q^{5} +(-2.78852 + 1.34288i) q^{6} +(-2.03497 - 1.69083i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(4.10205 + 5.14381i) q^{9} +O(q^{10})$	\(q+(0.623490 - 0.781831i) q^{2} +(-2.78852 - 1.34288i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.309110 - 0.148859i) q^{5} +(-2.78852 + 1.34288i) q^{6} +(-2.03497 - 1.69083i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(4.10205 + 5.14381i) q^{9} +(-0.309110 + 0.148859i) q^{10} +(2.82636 - 3.54415i) q^{11} +(-0.688708 + 3.01743i) q^{12} +(1.37145 - 1.71975i) q^{13} +(-2.59073 + 0.536789i) q^{14} +(0.662059 + 0.830195i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-0.0797994 + 0.349624i) q^{17} +6.57918 q^{18} +4.47726 q^{19} +(-0.0763438 + 0.334484i) q^{20} +(3.40397 + 7.44763i) q^{21} +(-1.00872 - 4.41948i) q^{22} +(1.31425 + 5.75812i) q^{23} +(1.92972 + 2.41979i) q^{24} +(-3.04406 - 3.81713i) q^{25} +(-0.489466 - 2.14449i) q^{26} +(-2.46501 - 10.7999i) q^{27} +(-1.19561 + 2.36019i) q^{28} +(-0.436156 + 1.91093i) q^{29} +1.06186 q^{30} -4.99105 q^{31} +(-0.222521 + 0.974928i) q^{32} +(-12.6407 + 6.08746i) q^{33} +(0.223593 + 0.280377i) q^{34} +(0.377333 + 0.825576i) q^{35} +(4.10205 - 5.14381i) q^{36} +(2.55134 - 11.1782i) q^{37} +(2.79152 - 3.50046i) q^{38} +(-6.13375 + 2.95386i) q^{39} +(0.213911 + 0.268235i) q^{40} +(9.04537 + 4.35602i) q^{41} +(7.94513 + 1.98219i) q^{42} +(-5.90395 + 2.84319i) q^{43} +(-4.08421 - 1.96685i) q^{44} +(-0.502279 - 2.20063i) q^{45} +(5.32131 + 2.56261i) q^{46} +(0.545558 - 0.684108i) q^{47} +3.09502 q^{48} +(1.28220 + 6.88157i) q^{49} -4.88229 q^{50} +(0.692026 - 0.867773i) q^{51} +(-1.98181 - 0.954389i) q^{52} +(1.77486 + 7.77618i) q^{53} +(-9.98060 - 4.80641i) q^{54} +(-1.40124 + 0.674800i) q^{55} +(1.09982 + 2.40632i) q^{56} +(-12.4849 - 6.01242i) q^{57} +(1.22208 + 1.53244i) q^{58} +(2.59581 - 1.25008i) q^{59} +(0.662059 - 0.830195i) q^{60} +(1.68180 - 7.36844i) q^{61} +(-3.11187 + 3.90216i) q^{62} +(0.349752 - 17.4033i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-0.679931 + 0.327437i) q^{65} +(-3.12200 + 13.6784i) q^{66} +9.54156 q^{67} +0.358615 q^{68} +(4.06765 - 17.8215i) q^{69} +(0.880725 + 0.219727i) q^{70} +(0.0251023 + 0.109980i) q^{71} +(-1.46400 - 6.41422i) q^{72} +(-0.453565 - 0.568752i) q^{73} +(-7.14871 - 8.96420i) q^{74} +(3.36247 + 14.7320i) q^{75} +(-0.996283 - 4.36500i) q^{76} +(-11.7441 + 2.43333i) q^{77} +(-1.51491 + 6.63725i) q^{78} -3.61323 q^{79} +0.343086 q^{80} +(-3.23724 + 14.1833i) q^{81} +(9.04537 - 4.35602i) q^{82} +(8.63134 + 10.8234i) q^{83} +(6.50345 - 4.97588i) q^{84} +(0.0767116 - 0.0961934i) q^{85} +(-1.45815 + 6.38859i) q^{86} +(3.78238 - 4.74295i) q^{87} +(-4.08421 + 1.96685i) q^{88} +(2.93739 + 3.68337i) q^{89} +(-2.03369 - 0.979372i) q^{90} +(-5.69867 + 1.18074i) q^{91} +(5.32131 - 2.56261i) q^{92} +(13.9177 + 6.70239i) q^{93} +(-0.194707 - 0.853069i) q^{94} +(-1.38396 - 0.666482i) q^{95} +(1.92972 - 2.41979i) q^{96} +2.25346 q^{97} +(6.17966 + 3.28812i) q^{98} +29.8243 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{1}{7}\right)$

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 $

$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$3$	−2.78852	−	1.34288i	−1.60995	−	0.775313i	−0.610098	−	0.792326i	$-0.708870\pi$
$3$	−2.78852	−	1.34288i	−1.60995	−	0.775313i	−0.999855	+	0.0170136i	$0.994584\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	−0.309110	−	0.148859i	−0.138238	−	0.0665720i	0.363486	−	0.931600i	$-0.381586\pi$
$5$	−0.309110	−	0.148859i	−0.138238	−	0.0665720i	−0.501724	+	0.865028i	$0.667301\pi$
$6$	−2.78852	+	1.34288i	−1.13841	+	0.548229i
$7$	−2.03497	−	1.69083i	−0.769146	−	0.639073i
$7$	−2.03497	−	1.69083i	−0.769146	−	0.639073i
$8$	−0.900969	−	0.433884i	−0.318541	−	0.153401i
$9$	4.10205	+	5.14381i	1.36735	+	1.71460i
$10$	−0.309110	+	0.148859i	−0.0977491	+	0.0470735i
$11$	2.82636	−	3.54415i	0.852181	−	1.06860i	−0.144684	−	0.989478i	$-0.546217\pi$
$11$	2.82636	−	3.54415i	0.852181	−	1.06860i	0.996865	−	0.0791228i	$-0.0252119\pi$
$12$	−0.688708	+	3.01743i	−0.198813	+	0.871056i
$13$	1.37145	−	1.71975i	0.380373	−	0.476973i	−0.554384	−	0.832261i	$-0.687046\pi$
$13$	1.37145	−	1.71975i	0.380373	−	0.476973i	0.934757	+	0.355289i	$0.115617\pi$
$14$	−2.59073	+	0.536789i	−0.692400	+	0.143463i
$15$	0.662059	+	0.830195i	0.170943	+	0.214355i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	−0.0797994	+	0.349624i	−0.0193542	+	0.0847963i	−0.983683	−	0.179912i	$-0.942419\pi$
$17$	−0.0797994	+	0.349624i	−0.0193542	+	0.0847963i	0.964328	+	0.264709i	$0.0852758\pi$
$18$	6.57918			1.55073
$19$	4.47726			1.02715			0.513577	−	0.858044i	$-0.328320\pi$
$19$	4.47726			1.02715			0.513577	+	0.858044i	$0.328320\pi$
$20$	−0.0763438	+	0.334484i	−0.0170710	+	0.0747929i
$21$	3.40397	+	7.44763i	0.742808	+	1.62521i
$22$	−1.00872	−	4.41948i	−0.215059	−	0.942236i
$23$	1.31425	+	5.75812i	0.274041	+	1.20065i	0.905196	+	0.424995i	$0.139724\pi$
$23$	1.31425	+	5.75812i	0.274041	+	1.20065i	−0.631155	+	0.775657i	$0.717419\pi$
$24$	1.92972	+	2.41979i	0.393902	+	0.493937i
$25$	−3.04406	−	3.81713i	−0.608812	−	0.763426i
$26$	−0.489466	−	2.14449i	−0.0959922	−	0.420569i
$27$	−2.46501	−	10.7999i	−0.474391	−	2.07844i
$28$	−1.19561	+	2.36019i	−0.225950	+	0.446035i
$29$	−0.436156	+	1.91093i	−0.0809922	+	0.354850i	−0.999143	−	0.0413800i	$-0.986825\pi$
$29$	−0.436156	+	1.91093i	−0.0809922	+	0.354850i	0.918151	+	0.396230i	$0.129682\pi$
$30$	1.06186			0.193868
$31$	−4.99105			−0.896419			−0.448210	−	0.893928i	$-0.647938\pi$
$31$	−4.99105			−0.896419			−0.448210	+	0.893928i	$0.647938\pi$
$32$	−0.222521	+	0.974928i	−0.0393365	+	0.172345i
$33$	−12.6407	+	6.08746i	−2.20047	+	1.05969i
$34$	0.223593	+	0.280377i	0.0383459	+	0.0480842i
$35$	0.377333	+	0.825576i	0.0637809	+	0.139548i
$36$	4.10205	−	5.14381i	0.683675	−	0.857301i
$37$	2.55134	−	11.1782i	0.419438	−	1.83768i	−0.116192	−	0.993227i	$-0.537069\pi$
$37$	2.55134	−	11.1782i	0.419438	−	1.83768i	0.535630	−	0.844453i	$-0.320074\pi$
$38$	2.79152	−	3.50046i	0.452845	−	0.567850i
$39$	−6.13375	+	2.95386i	−0.982185	+	0.472996i
$40$	0.213911	+	0.268235i	0.0338222	+	0.0424117i
$41$	9.04537	+	4.35602i	1.41265	+	0.680296i	0.975684	−	0.219183i	$-0.0703391\pi$
$41$	9.04537	+	4.35602i	1.41265	+	0.680296i	0.436965	+	0.899478i	$0.356053\pi$
$42$	7.94513	+	1.98219i	1.22596	+	0.305858i
$43$	−5.90395	+	2.84319i	−0.900344	+	0.433583i	−0.826013	−	0.563651i	$-0.809396\pi$
$43$	−5.90395	+	2.84319i	−0.900344	+	0.433583i	−0.0743307	+	0.997234i	$0.523682\pi$
$44$	−4.08421	−	1.96685i	−0.615718	−	0.296514i
$45$	−0.502279	−	2.20063i	−0.0748754	−	0.328050i
$46$	5.32131	+	2.56261i	0.784584	+	0.377836i
$47$	0.545558	−	0.684108i	0.0795778	−	0.0997874i	−0.740449	−	0.672113i	$-0.765387\pi$
$47$	0.545558	−	0.684108i	0.0795778	−	0.0997874i	0.820027	+	0.572325i	$0.193958\pi$
$48$	3.09502			0.446728
$49$	1.28220	+	6.88157i	0.183171	+	0.983081i
$50$	−4.88229			−0.690460
$51$	0.692026	−	0.867773i	0.0969030	−	0.121513i
$52$	−1.98181	−	0.954389i	−0.274827	−	0.132350i
$53$	1.77486	+	7.77618i	0.243796	+	1.06814i	0.937529	+	0.347908i	$0.113108\pi$
$53$	1.77486	+	7.77618i	0.243796	+	1.06814i	−0.693733	+	0.720233i	$0.744035\pi$
$54$	−9.98060	−	4.80641i	−1.35819	−	0.654069i
$55$	−1.40124	+	0.674800i	−0.188943	+	0.0909900i
$56$	1.09982	+	2.40632i	0.146970	+	0.321559i
$57$	−12.4849	−	6.01242i	−1.65367	−	0.796365i
$58$	1.22208	+	1.53244i	0.160467	+	0.201220i
$59$	2.59581	−	1.25008i	0.337946	−	0.162746i	−0.257212	−	0.966355i	$-0.582804\pi$
$59$	2.59581	−	1.25008i	0.337946	−	0.162746i	0.595158	+	0.803609i	$0.297089\pi$
$60$	0.662059	−	0.830195i	0.0854714	−	0.107178i
$61$	1.68180	−	7.36844i	0.215332	−	0.943433i	−0.745544	−	0.666456i	$-0.767810\pi$
$61$	1.68180	−	7.36844i	0.215332	−	0.943433i	0.960877	−	0.276977i	$-0.0893324\pi$
$62$	−3.11187	+	3.90216i	−0.395208	+	0.495575i
$63$	0.349752	−	17.4033i	0.0440646	−	2.19262i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−0.679931	+	0.327437i	−0.0843350	+	0.0406136i
$66$	−3.12200	+	13.6784i	−0.384292	+	1.68369i
$67$	9.54156			1.16569			0.582844	−	0.812584i	$-0.301940\pi$
$67$	9.54156			1.16569			0.582844	+	0.812584i	$0.301940\pi$
$68$	0.358615			0.0434885
$69$	4.06765	−	17.8215i	0.489687	−	2.14546i
$70$	0.880725	+	0.219727i	0.105267	+	0.0262624i
$71$	0.0251023	+	0.109980i	0.00297910	+	0.0130523i	0.976396	−	0.215990i	$-0.0692978\pi$
$71$	0.0251023	+	0.109980i	0.00297910	+	0.0130523i	−0.973417	+	0.229042i	$0.926441\pi$
$72$	−1.46400	−	6.41422i	−0.172535	−	0.755923i
$73$	−0.453565	−	0.568752i	−0.0530857	−	0.0665674i	0.754580	−	0.656208i	$-0.227841\pi$
$73$	−0.453565	−	0.568752i	−0.0530857	−	0.0665674i	−0.807666	+	0.589641i	$0.799269\pi$
$74$	−7.14871	−	8.96420i	−0.831020	−	1.04207i
$75$	3.36247	+	14.7320i	0.388265	+	1.70110i
$76$	−0.996283	−	4.36500i	−0.114282	−	0.500700i
$77$	−11.7441	+	2.43333i	−1.33837	+	0.277304i
$78$	−1.51491	+	6.63725i	−0.171530	+	0.751521i
$79$	−3.61323			−0.406520			−0.203260	−	0.979125i	$-0.565154\pi$
$79$	−3.61323			−0.406520			−0.203260	+	0.979125i	$0.565154\pi$
$80$	0.343086			0.0383582
$81$	−3.23724	+	14.1833i	−0.359693	+	1.57592i
$82$	9.04537	−	4.35602i	0.998894	−	0.481042i
$83$	8.63134	+	10.8234i	0.947413	+	1.18802i	0.982050	+	0.188618i	$0.0604009\pi$
$83$	8.63134	+	10.8234i	0.947413	+	1.18802i	−0.0346375	+	0.999400i	$0.511028\pi$
$84$	6.50345	−	4.97588i	0.709584	−	0.542913i
$85$	0.0767116	−	0.0961934i	0.00832055	−	0.0104336i
$86$	−1.45815	+	6.38859i	−0.157237	+	0.688900i
$87$	3.78238	−	4.74295i	0.405513	−	0.508498i
$88$	−4.08421	+	1.96685i	−0.435379	+	0.209667i
$89$	2.93739	+	3.68337i	0.311363	+	0.390437i	0.912748	−	0.408522i	$-0.133956\pi$
$89$	2.93739	+	3.68337i	0.311363	+	0.390437i	−0.601386	+	0.798959i	$0.705384\pi$
$90$	−2.03369	−	0.979372i	−0.214369	−	0.103235i
$91$	−5.69867	+	1.18074i	−0.597383	+	0.123775i
$92$	5.32131	−	2.56261i	0.554785	−	0.267170i
$93$	13.9177	+	6.70239i	1.44319	+	0.695005i
$94$	−0.194707	−	0.853069i	−0.0200825	−	0.0879874i
$95$	−1.38396	−	0.666482i	−0.141992	−	0.0683796i
$96$	1.92972	−	2.41979i	0.196951	−	0.246969i
$97$	2.25346			0.228804			0.114402	−	0.993435i	$-0.463505\pi$
$97$	2.25346			0.228804			0.114402	+	0.993435i	$0.463505\pi$
$98$	6.17966	+	3.28812i	0.624240	+	0.332151i
$99$	29.8243			2.99745
$100$	−3.04406	+	3.81713i	−0.304406	+	0.381713i
$101$	−3.28860	−	1.58370i	−0.327227	−	0.157584i	0.263056	−	0.964781i	$-0.415270\pi$
$101$	−3.28860	−	1.58370i	−0.327227	−	0.157584i	−0.590283	+	0.807196i	$0.700984\pi$
$102$	−0.246981	−	1.08210i	−0.0244548	−	0.107143i
$103$	11.2213	+	5.40389i	1.10567	+	0.532461i	0.895436	−	0.445191i	$-0.146864\pi$
$103$	11.2213	+	5.40389i	1.10567	+	0.532461i	0.210231	+	0.977652i	$0.432579\pi$
$104$	−1.98181	+	0.954389i	−0.194332	+	0.0935855i
$105$	0.0564489	−	2.80885i	0.00550885	−	0.274116i
$106$	7.18627	+	3.46073i	0.697992	+	0.336135i
$107$	−7.70281	−	9.65902i	−0.744659	−	0.933773i	0.254789	−	0.966997i	$-0.417994\pi$
$107$	−7.70281	−	9.65902i	−0.744659	−	0.933773i	−0.999448	+	0.0332240i	$0.989423\pi$
$108$	−9.98060	+	4.80641i	−0.960384	+	0.462497i
$109$	−0.404044	+	0.506656i	−0.0387004	+	0.0485288i	−0.800805	−	0.598925i	$-0.795595\pi$
$109$	−0.404044	+	0.506656i	−0.0387004	+	0.0485288i	0.762105	+	0.647454i	$0.224166\pi$
$110$	−0.346077	+	1.51626i	−0.0329971	+	0.144570i
$111$	−22.1254	+	27.7444i	−2.10005	+	2.63338i
$112$	2.56707	+	0.640444i	0.242565	+	0.0605163i
$113$	−3.75282	−	4.70589i	−0.353036	−	0.442693i	0.573326	−	0.819327i	$-0.305653\pi$
$113$	−3.75282	−	4.70589i	−0.353036	−	0.442693i	−0.926362	+	0.376634i	$0.877081\pi$
$114$	−12.4849	+	6.01242i	−1.16932	+	0.563115i
$115$	0.450902	−	1.97553i	0.0420469	−	0.184219i
$116$	1.96007			0.181988
$117$	14.4718			1.33792
$118$	0.641113	−	2.80890i	0.0590192	−	0.258580i
$119$	0.753544	−	0.576547i	0.0690773	−	0.0528520i
$120$	−0.236286	−	1.03524i	−0.0215699	−	0.0945037i
$121$	−2.12492	−	9.30989i	−0.193175	−	0.846353i
$122$	−4.71230	−	5.90903i	−0.426631	−	0.534979i
$123$	−19.3736	−	24.2937i	−1.74686	−	2.19049i
$124$	1.11061	+	4.86592i	0.0997360	+	0.436972i
$125$	0.754452	+	3.30547i	0.0674802	+	0.295650i
$126$	−13.3884	−	11.1243i	−1.19274	−	0.991028i
$127$	−1.91804	+	8.40347i	−0.170198	+	0.745687i	0.815718	+	0.578449i	$0.196342\pi$
$127$	−1.91804	+	8.40347i	−0.170198	+	0.745687i	−0.985917	+	0.167238i	$0.946515\pi$
$128$	1.00000			0.0883883
$129$	20.2814			1.78567
$130$	−0.167929	+	0.735745i	−0.0147284	+	0.0645291i
$131$	−6.72739	+	3.23974i	−0.587775	+	0.283058i	−0.704040	−	0.710161i	$-0.748622\pi$
$131$	−6.72739	+	3.23974i	−0.587775	+	0.283058i	0.116265	+	0.993218i	$0.462908\pi$
$132$	8.74766	+	10.9692i	0.761386	+	0.954748i
$133$	−9.11108	−	7.57027i	−0.790031	−	0.656426i
$134$	5.94907	−	7.45989i	0.513921	−	0.644437i
$135$	−0.845709	+	3.70529i	−0.0727870	+	0.318901i
$136$	0.223593	−	0.280377i	0.0191729	−	0.0240421i
$137$	6.28525	−	3.02681i	0.536985	−	0.258598i	−0.145678	−	0.989332i	$-0.546536\pi$
$137$	6.28525	−	3.02681i	0.536985	−	0.258598i	0.682662	+	0.730734i	$0.260822\pi$
$138$	−11.3973	−	14.2918i	−0.970203	−	1.21660i
$139$	−12.6234	−	6.07909i	−1.07070	−	0.515621i	−0.186367	−	0.982480i	$-0.559671\pi$
$139$	−12.6234	−	6.07909i	−1.07070	−	0.515621i	−0.884332	+	0.466859i	$0.845386\pi$
$140$	0.720913	−	0.551581i	0.0609282	−	0.0466171i
$141$	−2.43998	+	1.17503i	−0.205483	+	0.0989554i
$142$	0.101637	+	0.0489459i	0.00852920	+	0.00410745i
$143$	−2.21882	−	9.72127i	−0.185547	−	0.812934i
$144$	−5.92763	−	2.85460i	−0.493969	−	0.237883i
$145$	0.419279	−	0.525760i	0.0348193	−	0.0436620i
$146$	−0.727461			−0.0602051
$147$	5.66569	−	20.9112i	0.467298	−	1.72473i
$148$	−11.4656			−0.942469
$149$	−7.05783	+	8.85024i	−0.578200	+	0.725040i	−0.981805	−	0.189894i	$-0.939186\pi$
$149$	−7.05783	+	8.85024i	−0.578200	+	0.725040i	0.403605	+	0.914934i	$0.367757\pi$
$150$	13.6144	+	6.55634i	1.11161	+	0.535323i
$151$	1.26657	+	5.54921i	0.103072	+	0.451588i	0.999957	+	0.00932338i	$0.00296777\pi$
$151$	1.26657	+	5.54921i	0.103072	+	0.451588i	−0.896884	+	0.442265i	$0.854175\pi$
$152$	−4.03387	−	1.94261i	−0.327190	−	0.157566i
$153$	−2.12574	+	1.02370i	−0.171856	+	0.0827614i
$154$	−5.41987	+	10.6991i	−0.436746	+	0.862156i
$155$	1.54278	+	0.742965i	0.123919	+	0.0596764i
$156$	4.24468	+	5.32267i	0.339847	+	0.426154i
$157$	−11.5301	+	5.55259i	−0.920199	+	0.443145i	−0.833142	−	0.553059i	$-0.813461\pi$
$157$	−11.5301	+	5.55259i	−0.920199	+	0.443145i	−0.0870571	+	0.996203i	$0.527746\pi$
$158$	−2.25281	+	2.82494i	−0.179224	+	0.224740i
$159$	5.49324	−	24.0675i	0.435643	−	1.90867i
$160$	0.213911	−	0.268235i	0.0169111	−	0.0212059i
$161$	7.06153	−	13.9398i	0.556527	−	1.09861i
$162$	9.07054	+	11.3741i	0.712649	+	0.893634i
$163$	4.81290	−	2.31777i	0.376976	−	0.181542i	−0.235795	−	0.971803i	$-0.575769\pi$
$163$	4.81290	−	2.31777i	0.376976	−	0.181542i	0.612770	+	0.790261i	$0.290055\pi$
$164$	2.23402	−	9.78789i	0.174448	−	0.764305i
$165$	4.81355			0.374735
$166$	13.8436			1.07447
$167$	−2.16284	+	9.47603i	−0.167366	+	0.733277i	0.819678	+	0.572825i	$0.194152\pi$
$167$	−2.16284	+	9.47603i	−0.167366	+	0.733277i	−0.987044	+	0.160452i	$0.948705\pi$
$168$	0.164533	−	8.18701i	0.0126940	−	0.631642i
$169$	1.81612	+	7.95695i	0.139702	+	0.612073i
$170$	−0.0273781	−	0.119951i	−0.00209980	−	0.00919983i
$171$	18.3659	+	23.0301i	1.40448	+	1.76116i
$172$	4.08566	+	5.12325i	0.311529	+	0.390645i
$173$	−3.93578	−	17.2438i	−0.299232	−	1.31102i	−0.871274	−	0.490796i	$-0.836706\pi$
$173$	−3.93578	−	17.2438i	−0.299232	−	1.31102i	0.572042	−	0.820224i	$-0.306151\pi$
$174$	−1.34991	−	5.91436i	−0.102337	−	0.448367i
$175$	−0.259545	+	12.9147i	−0.0196197	+	0.976261i
$176$	−1.00872	+	4.41948i	−0.0760349	+	0.333131i
$177$	−8.91719			−0.670257
$178$	4.71121			0.353120
$179$	0.178288	−	0.781132i	0.0133259	−	0.0583846i	−0.967828	−	0.251613i	$-0.919039\pi$
$179$	0.178288	−	0.781132i	0.0133259	−	0.0583846i	0.981154	+	0.193229i	$0.0618960\pi$
$180$	−2.03369	+	0.979372i	−0.151582	+	0.0729981i
$181$	−4.06787	−	5.10095i	−0.302363	−	0.379151i	0.607318	−	0.794459i	$-0.292245\pi$
$181$	−4.06787	−	5.10095i	−0.302363	−	0.379151i	−0.909681	+	0.415308i	$0.863674\pi$
$182$	−2.62992	+	5.19158i	−0.194943	+	0.384825i
$183$	−14.5847	+	18.2886i	−1.07813	+	1.35193i
$184$	1.31425	−	5.75812i	0.0968881	−	0.424495i
$185$	−2.45262	+	3.07549i	−0.180320	+	0.226115i
$186$	13.9177	−	6.70239i	1.02049	−	0.491443i
$187$	1.01358	+	1.27099i	0.0741201	+	0.0929437i
$188$	−0.788354	−	0.379651i	−0.0574966	−	0.0276889i
$189$	−13.2446	+	26.1454i	−0.963400	+	1.90179i
$190$	−1.38396	+	0.666482i	−0.100403	+	0.0483517i
$191$	−7.43749	−	3.58171i	−0.538158	−	0.259163i	0.145003	−	0.989431i	$-0.453681\pi$
$191$	−7.43749	−	3.58171i	−0.538158	−	0.259163i	−0.683161	+	0.730268i	$0.739395\pi$
$192$	−0.688708	−	3.01743i	−0.0497032	−	0.217764i
$193$	5.88081	+	2.83205i	0.423310	+	0.203855i	0.633396	−	0.773828i	$-0.281660\pi$
$193$	5.88081	+	2.83205i	0.423310	+	0.203855i	−0.210087	+	0.977683i	$0.567375\pi$
$194$	1.40501	−	1.76182i	0.100874	−	0.126492i
$195$	2.33571			0.167264
$196$	6.42372	−	2.78134i	0.458837	−	0.198667i
$197$	−7.03901			−0.501509			−0.250754	−	0.968051i	$-0.580679\pi$
$197$	−7.03901			−0.501509			−0.250754	+	0.968051i	$0.580679\pi$
$198$	18.5951	−	23.3176i	1.32150	−	1.65711i
$199$	−4.52183	−	2.17760i	−0.320544	−	0.154366i	0.266692	−	0.963782i	$-0.414069\pi$
$199$	−4.52183	−	2.17760i	−0.320544	−	0.154366i	−0.587236	+	0.809416i	$0.699784\pi$
$200$	1.08641	+	4.75988i	0.0768209	+	0.336575i
$201$	−26.6068	−	12.8132i	−1.87670	−	0.903772i
$202$	−3.28860	+	1.58370i	−0.231385	+	0.111429i
$203$	4.11861	−	3.15121i	0.289070	−	0.221171i
$204$	−1.00001	−	0.481578i	−0.0700145	−	0.0337172i
$205$	−2.14758	−	2.69298i	−0.149993	−	0.188086i
$206$	11.2213	−	5.40389i	0.781824	−	0.376507i
$207$	−24.2275	+	30.3804i	−1.68393	+	2.11158i
$208$	−0.489466	+	2.14449i	−0.0339384	+	0.148694i
$209$	12.6544	−	15.8681i	0.875320	−	1.09762i
$210$	−2.16085	−	1.79542i	−0.149113	−	0.123896i
$211$	10.6063	+	13.2999i	0.730167	+	0.915601i	0.998865	−	0.0476235i	$-0.0151648\pi$
$211$	10.6063	+	13.2999i	0.730167	+	0.915601i	−0.268698	+	0.963224i	$0.586593\pi$
$212$	7.18627	−	3.46073i	0.493555	−	0.237684i
$213$	0.0776922	−	0.340392i	0.00532339	−	0.0233233i
$214$	−12.3543			−0.844526
$215$	2.24820			0.153326
$216$	−2.46501	+	10.7999i	−0.167722	+	0.734840i
$217$	10.1566	+	8.43901i	0.689477	+	0.572878i
$218$	0.144202	+	0.631789i	0.00976658	+	0.0427902i
$219$	0.501008	+	2.19506i	0.0338550	+	0.148328i
$220$	0.969686	+	1.21595i	0.0653762	+	0.0819791i
$221$	0.491825	+	0.616728i	0.0330837	+	0.0414856i
$222$	7.89647	+	34.5967i	0.529976	+	2.32198i
$223$	2.69532	+	11.8090i	0.180492	+	0.790788i	0.981396	+	0.191995i	$0.0614957\pi$
$223$	2.69532	+	11.8090i	0.180492	+	0.790788i	−0.800904	+	0.598793i	$0.795647\pi$
$224$	2.10126	−	1.60770i	0.140396	−	0.107419i
$225$	7.14770	−	31.3161i	0.476513	−	2.08774i
$226$	−6.01906			−0.400382
$227$	24.1716			1.60432			0.802162	−	0.597107i	$-0.203683\pi$
$227$	24.1716			1.60432			0.802162	+	0.597107i	$0.203683\pi$
$228$	−3.08352	+	13.5098i	−0.204211	+	0.894708i
$229$	−20.5498	+	9.89628i	−1.35797	+	0.653965i	−0.964183	−	0.265236i	$-0.914550\pi$
$229$	−20.5498	+	9.89628i	−1.35797	+	0.653965i	−0.393789	+	0.919201i	$0.628836\pi$
$230$	−1.26340	−	1.58425i	−0.0833061	−	0.104463i
$231$	36.0164	+	8.98553i	2.36970	+	0.591204i
$232$	1.22208	−	1.53244i	0.0802337	−	0.100610i
$233$	−0.432538	+	1.89507i	−0.0283365	+	0.124150i	−0.987118	−	0.159994i	$-0.948852\pi$
$233$	−0.432538	+	1.89507i	−0.0283365	+	0.124150i	0.958781	+	0.284145i	$0.0917096\pi$
$234$	9.02304	−	11.3145i	0.589854	−	0.739654i
$235$	−0.270473	+	0.130253i	−0.0176437	+	0.00849677i
$236$	−1.79636	−	2.25256i	−0.116933	−	0.146629i
$237$	10.0756	+	4.85214i	0.654479	+	0.315180i
$238$	0.0190642	−	0.948616i	0.00123575	−	0.0614896i
$239$	−2.07039	+	0.997049i	−0.133923	+	0.0644937i	−0.499645	−	0.866230i	$-0.666536\pi$
$239$	−2.07039	+	0.997049i	−0.133923	+	0.0644937i	0.365722	+	0.930724i	$0.380822\pi$
$240$	−0.956702	−	0.460724i	−0.0617549	−	0.0297396i
$241$	−3.82920	−	16.7768i	−0.246660	−	1.08069i	−0.934818	−	0.355128i	$-0.884437\pi$
$241$	−3.82920	−	16.7768i	−0.246660	−	1.08069i	0.688157	−	0.725562i	$-0.258420\pi$
$242$	−8.60363	−	4.14329i	−0.553062	−	0.266341i
$243$	7.35318	−	9.22059i	0.471706	−	0.591501i
$244$	−7.55794			−0.483847
$245$	0.628046	−	2.31803i	0.0401244	−	0.148093i
$246$	−31.0728			−1.98113
$247$	6.14035	−	7.69976i	0.390701	−	0.489924i
$248$	4.49678	+	2.16554i	0.285546	+	0.137512i
$249$	−9.53419	−	41.7720i	−0.604205	−	2.64719i
$250$	3.05471	+	1.47107i	0.193197	+	0.0930388i
$251$	26.1228	−	12.5801i	1.64886	−	0.794049i	0.649425	−	0.760426i	$-0.275010\pi$
$251$	26.1228	−	12.5801i	1.64886	−	0.794049i	0.999435	−	0.0336228i	$-0.0107045\pi$
$252$	−17.0448	+	3.53163i	−1.07372	+	0.222472i
$253$	24.1222	+	11.6166i	1.51655	+	0.730332i
$254$	5.37422	+	6.73906i	0.337208	+	0.422846i
$255$	−0.343088	+	0.165223i	−0.0214850	+	0.0103466i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	−0.898004	+	3.93441i	−0.0560159	+	0.245422i	−0.995182	−	0.0980404i	$-0.968743\pi$
$257$	−0.898004	+	3.93441i	−0.0560159	+	0.245422i	0.939167	+	0.343462i	$0.111600\pi$
$258$	12.6452	−	15.8566i	0.787257	−	0.987189i
$259$	−24.0923	+	18.4333i	−1.49702	+	1.14539i
$260$	0.470527	+	0.590022i	0.0291808	+	0.0365916i
$261$	−11.6186	+	5.59521i	−0.719171	+	0.346335i
$262$	−1.66153	+	7.27963i	−0.102650	+	0.449737i
$263$	25.5579			1.57597			0.787983	−	0.615697i	$-0.211126\pi$
$263$	25.5579			1.57597			0.787983	+	0.615697i	$0.211126\pi$
$264$	14.0302			0.863497
$265$	0.608931	−	2.66790i	0.0374063	−	0.163888i
$266$	−11.5993	+	2.40334i	−0.711201	+	0.147358i
$267$	−3.24465	−	14.2157i	−0.198569	−	0.869988i
$268$	−2.12320	−	9.30233i	−0.129695	−	0.568230i
$269$	8.30022	+	10.4082i	0.506074	+	0.634596i	0.967587	−	0.252537i	$-0.0812649\pi$
$269$	8.30022	+	10.4082i	0.506074	+	0.634596i	−0.461514	+	0.887133i	$0.652693\pi$
$270$	2.36962	+	2.97141i	0.144211	+	0.180835i
$271$	−3.17225	−	13.8985i	−0.192700	−	0.844275i	−0.975147	−	0.221558i	$-0.928886\pi$
$271$	−3.17225	−	13.8985i	−0.192700	−	0.844275i	0.782447	−	0.622717i	$-0.213971\pi$
$272$	−0.0797994	−	0.349624i	−0.00483855	−	0.0211991i
$273$	17.4764	+	4.36011i	1.05772	+	0.263886i
$274$	1.55233	−	6.80119i	0.0937795	−	0.410875i
$275$	−22.1321			−1.33462
$276$	−18.2798			−1.10032
$277$	−3.44993	+	15.1151i	−0.207286	+	0.908180i	0.759078	+	0.651000i	$0.225650\pi$
$277$	−3.44993	+	15.1151i	−0.207286	+	0.908180i	−0.966364	+	0.257180i	$0.917207\pi$
$278$	−12.6234	+	6.07909i	−0.757098	+	0.364599i
$279$	−20.4735	−	25.6730i	−1.22572	−	1.53700i
$280$	0.0182386	−	0.907537i	0.00108997	−	0.0542357i
$281$	−1.65463	+	2.07484i	−0.0987071	+	0.123775i	−0.828732	−	0.559646i	$-0.810937\pi$
$281$	−1.65463	+	2.07484i	−0.0987071	+	0.123775i	0.730025	+	0.683421i	$0.239509\pi$
$282$	−0.602624	+	2.64027i	−0.0358858	+	0.157226i
$283$	−18.8494	+	23.6364i	−1.12048	+	1.40504i	−0.217126	+	0.976144i	$0.569668\pi$
$283$	−18.8494	+	23.6364i	−1.12048	+	1.40504i	−0.903355	+	0.428894i	$0.858903\pi$
$284$	0.101637	−	0.0489459i	0.00603106	−	0.00290440i
$285$	2.96421	+	3.71700i	0.175584	+	0.220176i
$286$	−8.98381	−	4.32637i	−0.531224	−	0.255824i
$287$	−11.0418	−	24.1585i	−0.651774	−	1.42603i
$288$	−5.92763	+	2.85460i	−0.349289	+	0.168209i
$289$	15.2006	+	7.32022i	0.894153	+	0.430601i
$290$	−0.149639	−	0.655612i	−0.00878711	−	0.0384988i
$291$	−6.28381	−	3.02613i	−0.368364	−	0.177395i
$292$	−0.453565	+	0.568752i	−0.0265429	+	0.0332837i
$293$	−30.1438			−1.76102			−0.880509	−	0.474029i	$-0.842799\pi$
$293$	−30.1438			−1.76102			−0.880509	+	0.474029i	$0.842799\pi$
$294$	−12.8166	−	17.4676i	−0.747477	−	1.01873i
$295$	−0.988477			−0.0575514
$296$	−7.14871	+	8.96420i	−0.415510	+	0.521033i
$297$	−45.2434	−	21.7881i	−2.62529	−	1.26427i
$298$	2.51891	+	11.0361i	0.145917	+	0.639302i
$299$	11.7050	+	5.63682i	0.676916	+	0.325985i
$300$	13.6144	−	6.55634i	0.786026	−	0.378530i
$301$	16.8217	+	4.19676i	0.969587	+	0.241897i
$302$	5.12824	+	2.46963i	0.295097	+	0.142111i
$303$	7.04359	+	8.83238i	0.404644	+	0.507407i
$304$	−4.03387	+	1.94261i	−0.231358	+	0.111416i
$305$	−1.61672	+	2.02731i	−0.0925733	+	0.116083i
$306$	−0.525014	+	2.30024i	−0.0300131	+	0.131496i
$307$	11.0584	−	13.8668i	0.631136	−	0.791419i	−0.358728	−	0.933442i	$-0.616789\pi$
$307$	11.0584	−	13.8668i	0.631136	−	0.791419i	0.989863	+	0.142023i	$0.0453608\pi$
$308$	4.98564	+	10.9082i	0.284083	+	0.621552i
$309$	−24.0340	−	30.1377i	−1.36725	−	1.71447i
$310$	1.54278	−	0.742965i	0.0876242	−	0.0421976i
$311$	−3.60418	+	15.7909i	−0.204374	+	0.895422i	0.763861	+	0.645381i	$0.223301\pi$
$311$	−3.60418	+	15.7909i	−0.204374	+	0.895422i	−0.968235	+	0.250041i	$0.919556\pi$
$312$	6.80794			0.385424
$313$	13.9663			0.789420			0.394710	−	0.918806i	$-0.370845\pi$
$313$	13.9663			0.789420			0.394710	+	0.918806i	$0.370845\pi$
$314$	−2.84769	+	12.4765i	−0.160705	+	0.704092i
$315$	−2.69876	+	5.32748i	−0.152058	+	0.300170i
$316$	0.804020	+	3.52264i	0.0452296	+	0.198164i
$317$	6.28900	+	27.5539i	0.353226	+	1.54758i	0.769682	+	0.638427i	$0.220415\pi$
$317$	6.28900	+	27.5539i	0.353226	+	1.54758i	−0.416457	+	0.909155i	$0.636728\pi$
$318$	−15.3917	−	19.3006i	−0.863125	−	1.08232i
$319$	5.53987	+	6.94677i	0.310173	+	0.388945i
$320$	−0.0763438	−	0.334484i	−0.00426775	−	0.0186982i
$321$	8.50854	+	37.2783i	0.474900	+	2.08067i
$322$	−6.49577	−	14.2122i	−0.361995	−	0.792017i
$323$	−0.357283	+	1.56536i	−0.0198797	+	0.0870988i
$324$	14.5480			0.808223
$325$	−10.7393			−0.595709
$326$	1.18869	−	5.20799i	0.0658354	−	0.288444i
$327$	1.80706	−	0.870236i	0.0999309	−	0.0481242i
$328$	−6.25959	−	7.84927i	−0.345628	−	0.433404i
$329$	−2.26690	+	0.469694i	−0.124978	+	0.0258951i
$330$	3.00120	−	3.76339i	0.165211	−	0.207168i
$331$	4.55435	−	19.9539i	0.250330	−	1.09677i	−0.680913	−	0.732365i	$-0.738417\pi$
$331$	4.55435	−	19.9539i	0.250330	−	1.09677i	0.931242	−	0.364401i	$-0.118726\pi$
$332$	8.63134	−	10.8234i	0.473706	−	0.594009i
$333$	67.9641	−	32.7298i	3.72441	−	1.79358i
$334$	6.06015	+	7.59918i	0.331596	+	0.415809i
$335$	−2.94939	−	1.42035i	−0.161142	−	0.0776021i
$336$	−6.29828	−	5.23316i	−0.343599	−	0.285492i
$337$	24.0118	−	11.5635i	1.30801	−	0.629902i	0.355572	−	0.934649i	$-0.384286\pi$
$337$	24.0118	−	11.5635i	1.30801	−	0.629902i	0.952433	+	0.304747i	$0.0985719\pi$
$338$	7.35333	+	3.54118i	0.399968	+	0.192615i
$339$	4.14537	+	18.1621i	0.225146	+	0.986427i
$340$	−0.110852	−	0.0533833i	−0.00601177	−	0.00289512i
$341$	−14.1065	+	17.6890i	−0.763911	+	0.957914i
$342$	29.4567			1.59283
$343$	9.02632	−	16.1718i	0.487375	−	0.873193i
$344$	6.55289			0.353308
$345$	−3.91025	+	4.90330i	−0.210521	+	0.263985i
$346$	−15.9357	−	7.67421i	−0.856706	−	0.412568i
$347$	−2.65222	−	11.6201i	−0.142379	−	0.623801i	−0.994879	−	0.101075i	$-0.967772\pi$
$347$	−2.65222	−	11.6201i	−0.142379	−	0.623801i	0.852500	−	0.522727i	$-0.175085\pi$
$348$	−5.46569	−	2.63214i	−0.292992	−	0.141097i
$349$	−7.21028	+	3.47229i	−0.385957	+	0.185867i	−0.616793	−	0.787126i	$-0.711568\pi$
$349$	−7.21028	+	3.47229i	−0.385957	+	0.185867i	0.230835	+	0.972993i	$0.425854\pi$
$350$	9.93531	+	8.25512i	0.531065	+	0.441255i
$351$	−21.9538	−	10.5724i	−1.17180	−	0.564311i
$352$	2.82636	+	3.54415i	0.150646	+	0.188904i
$353$	−29.5570	+	14.2339i	−1.57316	+	0.757595i	−0.998165	−	0.0605604i	$-0.980711\pi$
$353$	−29.5570	+	14.2339i	−1.57316	+	0.757595i	−0.574997	+	0.818155i	$0.694997\pi$
$354$	−5.55977	+	6.97174i	−0.295499	+	0.370544i
$355$	0.00861225	−	0.0377327i	0.000457091	−	0.00200265i
$356$	2.93739	−	3.68337i	0.155681	−	0.195218i
$357$	−2.87551	+	0.595794i	−0.152188	+	0.0315328i
$358$	−0.499553	−	0.626419i	−0.0264022	−	0.0331073i
$359$	12.7940	−	6.16127i	0.675242	−	0.325179i	−0.0646472	−	0.997908i	$-0.520592\pi$
$359$	12.7940	−	6.16127i	0.675242	−	0.325179i	0.739889	+	0.672729i	$0.234878\pi$
$360$	−0.502279	+	2.20063i	−0.0264724	+	0.115983i
$361$	1.04583			0.0550436
$362$	−6.52436			−0.342913
$363$	−6.57668	+	28.8143i	−0.345186	+	1.51236i
$364$	2.41921	+	5.29305i	0.126801	+	0.277431i
$365$	0.0555372	+	0.243324i	0.00290695	+	0.0127362i
$366$	5.20521	+	22.8055i	0.272081	+	1.19206i
$367$	−3.28052	−	4.11364i	−0.171242	−	0.214730i	0.688804	−	0.724948i	$-0.258136\pi$
$367$	−3.28052	−	4.11364i	−0.171242	−	0.214730i	−0.860045	+	0.510218i	$0.829565\pi$
$368$	−3.68246	−	4.61766i	−0.191961	−	0.240712i
$369$	14.6980	+	64.3962i	0.765148	+	3.35233i
$370$	0.875330	+	3.83507i	0.0455063	+	0.199376i
$371$	9.53640	−	18.8253i	0.495105	−	0.977360i
$372$	3.43738	−	15.0601i	0.178220	−	0.780831i
$373$	23.2034			1.20143			0.600714	−	0.799464i	$-0.294883\pi$
$373$	23.2034			1.20143			0.600714	+	0.799464i	$0.294883\pi$
$374$	1.62565			0.0840605
$375$	2.33505	−	10.2305i	0.120581	−	0.528301i
$376$	−0.788354	+	0.379651i	−0.0406563	+	0.0195790i
$377$	2.68814	+	3.37083i	0.138446	+	0.173606i
$378$	12.1834	+	26.6564i	0.626647	+	1.37106i
$379$	4.22671	−	5.30013i	0.217111	−	0.272249i	−0.661334	−	0.750091i	$-0.730009\pi$
$379$	4.22671	−	5.30013i	0.217111	−	0.272249i	0.878446	+	0.477842i	$0.158581\pi$
$380$	−0.341811	+	1.49757i	−0.0175345	+	0.0768238i
$381$	16.6333	−	20.8575i	0.852152	−	1.06856i
$382$	−7.43749	+	3.58171i	−0.380535	+	0.183256i
$383$	−15.1663	−	19.0179i	−0.774961	−	0.971770i	0.225036	−	0.974350i	$-0.427750\pi$
$383$	−15.1663	−	19.0179i	−0.774961	−	0.971770i	−0.999997	+	0.00258046i	$0.999179\pi$
$384$	−2.78852	−	1.34288i	−0.142301	−	0.0685286i
$385$	3.99244	+	0.996053i	0.203474	+	0.0507636i
$386$	5.88081	−	2.83205i	0.299325	−	0.144147i
$387$	−38.8431	−	18.7059i	−1.97451	−	0.950872i
$388$	−0.501442	−	2.19696i	−0.0254568	−	0.111534i
$389$	−4.22112	−	2.03278i	−0.214019	−	0.103066i	0.323803	−	0.946125i	$-0.395039\pi$
$389$	−4.22112	−	2.03278i	−0.214019	−	0.103066i	−0.537822	+	0.843058i	$0.680753\pi$
$390$	1.45629	−	1.82613i	0.0737422	−	0.0924698i
$391$	−2.11806			−0.107115
$392$	1.83058	−	6.75640i	0.0924582	−	0.341250i
$393$	23.1101			1.16575
$394$	−4.38875	+	5.50332i	−0.221102	+	0.277253i
$395$	1.11689	+	0.537864i	0.0561966	+	0.0270629i
$396$	−6.63653	−	29.0765i	−0.333498	−	1.46115i
$397$	−3.94571	−	1.90015i	−0.198030	−	0.0953660i	0.332241	−	0.943195i	$-0.392195\pi$
$397$	−3.94571	−	1.90015i	−0.198030	−	0.0953660i	−0.530270	+	0.847829i	$0.677910\pi$
$398$	−4.52183	+	2.17760i	−0.226659	+	0.109153i
$399$	15.2405	+	33.3450i	0.762977	+	1.66934i
$400$	4.39879	+	2.11835i	0.219940	+	0.105917i
$401$	4.19493	+	5.26028i	0.209485	+	0.262686i	0.875463	−	0.483286i	$-0.160557\pi$
$401$	4.19493	+	5.26028i	0.209485	+	0.262686i	−0.665978	+	0.745972i	$0.731985\pi$
$402$	−26.6068	+	12.8132i	−1.32703	+	0.639063i
$403$	−6.84500	+	8.58336i	−0.340974	+	0.427568i
$404$	−0.812216	+	3.55855i	−0.0404093	+	0.177045i
$405$	3.11198	−	3.90229i	0.154635	−	0.193907i
$406$	0.104198	−	5.18481i	0.00517127	−	0.257318i
$407$	−32.4061	−	40.6359i	−1.60631	−	2.01425i
$408$	−1.00001	+	0.481578i	−0.0495077	+	0.0238416i
$409$	1.99314	−	8.73253i	0.0985546	−	0.431796i	−0.901445	−	0.432894i	$-0.857492\pi$
$409$	1.99314	−	8.73253i	0.0985546	−	0.431796i	0.999999	+	0.00109826i	$0.000349588\pi$
$410$	−3.44445			−0.170109
$411$	−21.5912			−1.06501
$412$	2.77143	−	12.1424i	0.136538	−	0.598214i
$413$	−7.39607	−	1.84521i	−0.363937	−	0.0907966i
$414$	8.64671	+	37.8837i	0.424963	+	1.86188i
$415$	−1.05687	−	4.63046i	−0.0518799	−	0.227301i
$416$	1.37145	+	1.71975i	0.0672411	+	0.0843176i
$417$	27.0370	+	33.9033i	1.32401	+	1.66025i
$418$	−4.51629	−	19.7871i	−0.220899	−	0.967821i
$419$	−0.163709	−	0.717254i	−0.00799768	−	0.0350401i	0.970772	−	0.240005i	$-0.0771491\pi$
$419$	−0.163709	−	0.717254i	−0.00799768	−	0.0350401i	−0.978769	+	0.204965i	$0.934292\pi$
$420$	−2.75099	+	0.569994i	−0.134234	+	0.0278129i
$421$	2.93259	−	12.8485i	0.142926	−	0.626198i	−0.851821	−	0.523833i	$-0.824502\pi$
$421$	2.93259	−	12.8485i	0.142926	−	0.626198i	0.994747	−	0.102366i	$-0.0326412\pi$
$422$	17.0112			0.828091
$423$	5.75683			0.279906
$424$	1.77486	−	7.77618i	0.0861950	−	0.377645i
$425$	1.57747	−	0.759672i	0.0765188	−	0.0368495i
$426$	−0.217689	−	0.272973i	−0.0105471	−	0.0132256i
$427$	−15.8812	+	12.1509i	−0.768544	+	0.588024i
$428$	−7.70281	+	9.65902i	−0.372329	+	0.466886i
$429$	−6.86729	+	30.0876i	−0.331556	+	1.45264i
$430$	1.40173	−	1.75772i	0.0675975	−	0.0847646i
$431$	−12.8560	+	6.19112i	−0.619252	+	0.298216i	−0.717084	−	0.696987i	$-0.754523\pi$
$431$	−12.8560	+	6.19112i	−0.619252	+	0.298216i	0.0978320	+	0.995203i	$0.468809\pi$
$432$	6.90679	+	8.66084i	0.332303	+	0.416695i
$433$	−21.1543	−	10.1874i	−1.01661	−	0.489574i	−0.150067	−	0.988676i	$-0.547949\pi$
$433$	−21.1543	−	10.1874i	−1.01661	−	0.489574i	−0.866543	+	0.499102i	$0.833663\pi$
$434$	12.9304	−	2.67914i	0.620681	−	0.128603i
$435$	−1.87520	+	0.903050i	−0.0899091	+	0.0432979i
$436$	0.583861	+	0.281173i	0.0279619	+	0.0134657i
$437$	5.88425	+	25.7806i	0.281482	+	1.23325i
$438$	2.02854	+	0.976894i	0.0969274	+	0.0466778i
$439$	−0.293045	+	0.367467i	−0.0139863	+	0.0175383i	−0.788775	−	0.614681i	$-0.789285\pi$
$439$	−0.293045	+	0.367467i	−0.0139863	+	0.0175383i	0.774789	+	0.632220i	$0.217856\pi$
$440$	1.55525			0.0741439
$441$	−30.1378	+	34.8239i	−1.43513	+	1.65828i
$442$	0.788825			0.0375206
$443$	−2.26804	+	2.84403i	−0.107758	+	0.135124i	−0.832786	−	0.553596i	$-0.813255\pi$
$443$	−2.26804	+	2.84403i	−0.107758	+	0.135124i	0.725028	+	0.688719i	$0.241827\pi$
$444$	31.9722	+	15.3970i	1.51733	+	0.730708i
$445$	−0.359672	−	1.57582i	−0.0170501	−	0.0747012i
$446$	10.9131	+	5.25549i	0.516752	+	0.248855i
$447$	31.5657	−	15.2013i	1.49301	−	0.718995i
$448$	0.0531605	−	2.64522i	0.00251160	−	0.124975i
$449$	14.2298	+	6.85270i	0.671544	+	0.323399i	0.738399	−	0.674364i	$-0.235582\pi$
$449$	14.2298	+	6.85270i	0.671544	+	0.323399i	−0.0668547	+	0.997763i	$0.521296\pi$
$450$	−20.0274	−	25.1136i	−0.944101	−	1.18386i
$451$	41.0039	−	19.7464i	1.93080	−	0.929823i
$452$	−3.75282	+	4.70589i	−0.176518	+	0.221346i
$453$	3.92007	−	17.1749i	0.184181	−	0.806949i
$454$	15.0707	−	18.8981i	0.707304	−	0.886931i
$455$	1.93728	+	0.483321i	0.0908210	+	0.0226585i
$456$	8.63983	+	10.8340i	0.404597	+	0.507349i
$457$	6.22715	−	2.99884i	0.291294	−	0.140280i	−0.282530	−	0.959258i	$-0.591174\pi$
$457$	6.22715	−	2.99884i	0.291294	−	0.140280i	0.573824	+	0.818979i	$0.305459\pi$
$458$	−5.07539	+	22.2367i	−0.237158	+	1.03905i
$459$	3.97261			0.185426
$460$	−2.02634			−0.0944784
$461$	6.25145	−	27.3894i	0.291159	−	1.27565i	−0.591755	−	0.806118i	$-0.701565\pi$
$461$	6.25145	−	27.3894i	0.291159	−	1.27565i	0.882914	−	0.469534i	$-0.155578\pi$
$462$	29.4810	−	22.5563i	1.37158	−	1.04942i
$463$	−1.76843	−	7.74798i	−0.0821857	−	0.360079i	0.917067	−	0.398733i	$-0.130550\pi$
$463$	−1.76843	−	7.74798i	−0.0821857	−	0.360079i	−0.999253	+	0.0386542i	$0.987693\pi$
$464$	−0.436156	−	1.91093i	−0.0202480	−	0.0887125i
$465$	−3.30437	−	4.14355i	−0.153236	−	0.192152i
$466$	1.21194	+	1.51973i	0.0561422	+	0.0704001i
$467$	0.614858	+	2.69387i	0.0284522	+	0.124657i	0.987160	−	0.159737i	$-0.0510646\pi$
$467$	0.614858	+	2.69387i	0.0284522	+	0.124657i	−0.958707	+	0.284394i	$0.908207\pi$
$468$	−3.22028	−	14.1090i	−0.148858	−	0.652188i
$469$	−19.4168	−	16.1331i	−0.896584	−	0.744959i
$470$	−0.0668014	+	0.292676i	−0.00308132	+	0.0135001i
$471$	39.6083			1.82505
$472$	−2.88114			−0.132615
$473$	−6.61001	+	28.9604i	−0.303929	+	1.33160i
$474$	10.0756	−	4.85214i	0.462786	−	0.222866i
$475$	−13.6290	−	17.0903i	−0.625343	−	0.784155i
$476$	−0.729771	−	0.606357i	−0.0334490	−	0.0277923i
$477$	−32.7186	+	41.0278i	−1.49808	+	1.87854i
$478$	−0.511345	+	2.24035i	−0.0233884	+	0.102471i
$479$	11.4237	−	14.3249i	0.521964	−	0.654522i	−0.449061	−	0.893501i	$-0.648241\pi$
$479$	11.4237	−	14.3249i	0.521964	−	0.654522i	0.971025	+	0.238979i	$0.0768128\pi$
$480$	−0.956702	+	0.460724i	−0.0436673	+	0.0210291i
$481$	−15.7246	−	19.7180i	−0.716980	−	0.899064i
$482$	−15.5041	−	7.46639i	−0.706193	−	0.340085i
$483$	−38.4107	+	29.3886i	−1.74775	+	1.33723i
$484$	−8.60363	+	4.14329i	−0.391074	+	0.188331i
$485$	−0.696566	−	0.335449i	−0.0316294	−	0.0152319i
$486$	−2.62432	−	11.4979i	−0.119041	−	0.521555i
$487$	−14.5904	−	7.02637i	−0.661154	−	0.318395i	0.0730454	−	0.997329i	$-0.476728\pi$
$487$	−14.5904	−	7.02637i	−0.661154	−	0.318395i	−0.734200	+	0.678933i	$0.762442\pi$
$488$	−4.71230	+	5.90903i	−0.213316	+	0.267489i
$489$	−16.5334			−0.747665
$490$	−1.42073	−	1.93629i	−0.0641819	−	0.0874728i
$491$	−35.7820			−1.61482			−0.807411	−	0.589990i	$-0.799132\pi$
$491$	−35.7820			−1.61482			−0.807411	+	0.589990i	$0.799132\pi$
$492$	−19.3736	+	24.2937i	−0.873428	+	1.09524i
$493$	−0.633301	−	0.304982i	−0.0285224	−	0.0137357i
$494$	−2.19147	−	9.60144i	−0.0985987	−	0.431989i
$495$	−9.21898	−	4.43963i	−0.414362	−	0.199546i
$496$	4.49678	−	2.16554i	0.201912	−	0.0972355i
$497$	0.134876	−	0.266250i	0.00605000	−	0.0119430i
$498$	−38.6032	−	18.5903i	−1.72985	−	0.833051i
$499$	−22.0600	−	27.6623i	−0.987540	−	1.23834i	−0.971150	−	0.238470i	$-0.923354\pi$
$499$	−22.0600	−	27.6623i	−0.987540	−	1.23834i	−0.0163903	−	0.999866i	$-0.505217\pi$
$500$	3.05471	−	1.47107i	0.136611	−	0.0657884i
$501$	18.7563	−	23.5197i	0.837970	−	1.05078i
$502$	6.45181	−	28.2672i	0.287958	−	1.26163i
$503$	−17.5455	+	22.0014i	−0.782316	+	0.980993i	0.217672	+	0.976022i	$0.430154\pi$
$503$	−17.5455	+	22.0014i	−0.782316	+	0.980993i	−0.999988	+	0.00497112i	$0.998418\pi$
$504$	−7.86615	+	15.5281i	−0.350386	+	0.691678i
$505$	0.780788	+	0.979077i	0.0347446	+	0.0435683i
$506$	24.1222	−	11.6166i	1.07236	−	0.516423i
$507$	5.62094	−	24.6270i	0.249635	−	1.09372i
$508$	8.61958			0.382432
$509$	−7.81762			−0.346510			−0.173255	−	0.984877i	$-0.555428\pi$
$509$	−7.81762			−0.346510			−0.173255	+	0.984877i	$0.555428\pi$
$510$	−0.0847358	+	0.371252i	−0.00375216	+	0.0164393i
$511$	−0.0386722	+	1.92429i	−0.00171076	+	0.0851257i
$512$	−0.222521	−	0.974928i	−0.00983413	−	0.0430861i
$513$	−11.0365	−	48.3539i	−0.487272	−	2.13488i
$514$	2.51615	+	3.15515i	0.110983	+	0.139168i
$515$	−2.66419	−	3.34079i	−0.117398	−	0.147213i
$516$	−4.51302	−	19.7729i	−0.198675	−	0.870451i
$517$	−0.882635	−	3.86708i	−0.0388182	−	0.170074i
$518$	−0.609518	+	30.3291i	−0.0267807	+	1.33258i
$519$	−12.1813	+	53.3699i	−0.534701	+	2.34268i
$520$	0.754666			0.0330943
$521$	−11.7334			−0.514049			−0.257025	−	0.966405i	$-0.582742\pi$
$521$	−11.7334			−0.514049			−0.257025	+	0.966405i	$0.582742\pi$
$522$	−2.86955	+	12.5723i	−0.125597	+	0.550275i
$523$	2.79341	−	1.34523i	0.122147	−	0.0588229i	−0.371812	−	0.928308i	$-0.621263\pi$
$523$	2.79341	−	1.34523i	0.122147	−	0.0588229i	0.493959	+	0.869485i	$0.335549\pi$
$524$	4.65550	+	5.83781i	0.203376	+	0.255026i
$525$	18.0667	−	35.6644i	0.788494	−	1.55652i
$526$	15.9351	−	19.9819i	0.694802	−	0.871254i
$527$	0.398283	−	1.74499i	0.0173495	−	0.0760131i
$528$	8.74766	−	10.9692i	0.380693	−	0.477374i
$529$	−10.7064	+	5.15595i	−0.465498	+	0.224172i
$530$	−1.70619	−	2.13949i	−0.0741120	−	0.0929335i
$531$	17.0783	+	8.22448i	0.741136	+	0.356912i
$532$	−5.35306	+	10.5672i	−0.232085	+	0.458146i
$533$	19.8966	−	9.58168i	0.861816	−	0.415029i
$534$	−13.1373	−	6.32659i	−0.568507	−	0.273778i
$535$	0.943178	+	4.13233i	0.0407771	+	0.178656i
$536$	−8.59665	−	4.13993i	−0.371319	−	0.178818i
$537$	−1.54613	+	1.93878i	−0.0667203	+	0.0836647i
$538$	13.3125			0.573944
$539$	28.0132	+	14.9055i	1.20662	+	0.642026i
$540$	3.80058			0.163551
$541$	−1.99925	+	2.50697i	−0.0859543	+	0.107783i	−0.822949	−	0.568115i	$-0.807673\pi$
$541$	−1.99925	+	2.50697i	−0.0859543	+	0.107783i	0.736995	+	0.675898i	$0.236244\pi$
$542$	−12.8442	−	6.18543i	−0.551704	−	0.265687i
$543$	4.49338	+	19.6868i	0.192829	+	0.844841i
$544$	−0.323101	−	0.155597i	−0.0138529	−	0.00667118i
$545$	0.200315	−	0.0964664i	0.00858053	−	0.00413217i
$546$	14.3053	−	10.9452i	0.612208	−	0.468409i
$547$	40.4943	+	19.5010i	1.73141	+	0.833805i	0.985905	+	0.167309i	$0.0535076\pi$
$547$	40.4943	+	19.5010i	1.73141	+	0.833805i	0.745509	+	0.666496i	$0.232207\pi$
$548$	−4.34952	−	5.45413i	−0.185802	−	0.232989i
$549$	44.8007	−	21.5749i	1.91205	−	0.920793i
$550$	−13.7991	+	17.3036i	−0.588397	+	0.737826i
$551$	−1.95278	+	8.55570i	−0.0831914	+	0.364485i
$552$	−11.3973	+	14.2918i	−0.485101	+	0.608298i
$553$	7.35281	+	6.10935i	0.312673	+	0.259796i
$554$	9.66648	+	12.1214i	0.410690	+	0.514988i
$555$	10.9692	−	5.28249i	0.465617	−	0.224229i
$556$	−3.11771	+	13.6596i	−0.132220	+	0.579295i
$557$	−38.7356			−1.64128			−0.820639	−	0.571447i	$-0.806382\pi$
$557$	−38.7356			−1.64128			−0.820639	+	0.571447i	$0.806382\pi$
$558$	−32.8370			−1.39010
$559$	−3.20742	+	14.0526i	−0.135659	+	0.594362i
$560$	−0.698169	−	0.580100i	−0.0295030	−	0.0245137i
$561$	−1.11960	−	4.90528i	−0.0472695	−	0.207101i
$562$	0.590531	+	2.58729i	0.0249101	+	0.109138i
$563$	9.74109	+	12.2149i	0.410538	+	0.514798i	0.943514	−	0.331332i	$-0.107498\pi$
$563$	9.74109	+	12.2149i	0.410538	+	0.514798i	−0.532976	+	0.846130i	$0.678926\pi$
$564$	1.68852	+	2.11733i	0.0710993	+	0.0891557i
$565$	0.459518	+	2.01328i	0.0193321	+	0.0846993i
$566$	6.72727	+	29.4741i	0.282768	+	1.23889i
$567$	30.5692	−	23.3889i	1.28378	−	0.982242i
$568$	0.0251023	−	0.109980i	0.00105327	−	0.00461467i
$569$	7.79021			0.326583			0.163291	−	0.986578i	$-0.447789\pi$
$569$	7.79021			0.326583			0.163291	+	0.986578i	$0.447789\pi$
$570$	4.75422			0.199132
$571$	2.36845	−	10.3769i	0.0991165	−	0.434258i	−0.900883	−	0.434061i	$-0.857080\pi$
$571$	2.36845	−	10.3769i	0.0991165	−	0.434258i	1.00000		0.000196790i	$-6.26403e-5\pi$
$572$	−8.98381	+	4.32637i	−0.375632	+	0.180895i
$573$	15.9298	+	19.9753i	0.665477	+	0.834481i
$574$	−25.7723	−	6.42980i	−1.07572	−	0.268375i
$575$	17.9788	−	22.5448i	0.749769	−	0.940181i
$576$	−1.46400	+	6.41422i	−0.0610002	+	0.267259i
$577$	−24.1293	+	30.2572i	−1.00452	+	1.25963i	−0.0390131	+	0.999239i	$0.512421\pi$
$577$	−24.1293	+	30.2572i	−1.00452	+	1.25963i	−0.965504	+	0.260387i	$0.916150\pi$
$578$	15.2006	−	7.32022i	0.632262	−	0.304481i
$579$	−12.5956	−	15.7944i	−0.523457	−	0.656395i
$580$	−0.605876	−	0.291775i	−0.0251576	−	0.0121153i
$581$	0.735932	−	36.6193i	0.0305316	−	1.51923i
$582$	−6.28381	+	3.02613i	−0.260472	+	0.125437i
$583$	32.5763	+	15.6879i	1.34917	+	0.649728i
$584$	0.161875	+	0.709222i	0.00669845	+	0.0293478i
$585$	−4.47338	−	2.15427i	−0.184952	−	0.0890680i
$586$	−18.7943	+	23.5674i	−0.776387	+	0.973558i
$587$	31.1900			1.28735			0.643674	−	0.765300i	$-0.277409\pi$
$587$	31.1900			1.28735			0.643674	+	0.765300i	$0.277409\pi$
$588$	−21.6477	−	0.870450i	−0.892735	−	0.0358968i
$589$	−22.3462			−0.920760
$590$	−0.616306	+	0.772823i	−0.0253729	+	0.0318166i
$591$	19.6284	+	9.45256i	0.807406	+	0.388826i
$592$	2.55134	+	11.1782i	0.104860	+	0.459420i
$593$	34.7453	+	16.7325i	1.42682	+	0.687120i	0.978403	−	0.206705i	$-0.0662740\pi$
$593$	34.7453	+	16.7325i	1.42682	+	0.687120i	0.448416	+	0.893825i	$0.351988\pi$
$594$	−45.2434	+	21.7881i	−1.85636	+	0.893976i
$595$	−0.318752	+	0.0660443i	−0.0130676	+	0.00270755i
$596$	10.1989	+	4.91151i	0.417762	+	0.201183i
$597$	9.68496	+	12.1446i	0.396379	+	0.497043i
$598$	11.7050	−	5.63682i	0.478652	−	0.230507i
$599$	13.5981	−	17.0515i	0.555604	−	0.696705i	−0.422134	−	0.906533i	$-0.638719\pi$
$599$	13.5981	−	17.0515i	0.555604	−	0.696705i	0.977738	+	0.209828i	$0.0672904\pi$
$600$	3.36247	−	14.7320i	0.137272	−	0.601429i
$601$	7.31258	−	9.16968i	0.298286	−	0.374039i	−0.609991	−	0.792409i	$-0.708827\pi$
$601$	7.31258	−	9.16968i	0.298286	−	0.374039i	0.908277	+	0.418370i	$0.137398\pi$
$602$	13.7693	−	10.5351i	0.561195	−	0.429379i
$603$	39.1399	+	49.0799i	1.59390	+	1.99869i
$604$	5.12824	−	2.46963i	0.208665	−	0.100488i
$605$	−0.729031	+	3.19409i	−0.0296393	+	0.129858i
$606$	11.2970			0.458911
$607$	27.7375			1.12583			0.562915	−	0.826515i	$-0.309680\pi$
$607$	27.7375			1.12583			0.562915	+	0.826515i	$0.309680\pi$
$608$	−0.996283	+	4.36500i	−0.0404046	+	0.177024i
$609$	−15.7165	+	3.25641i	−0.636866	+	0.131956i
$610$	0.577002	+	2.52801i	0.0233621	+	0.102356i
$611$	−0.428287	−	1.87645i	−0.0173266	−	0.0759129i
$612$	1.47106	+	1.84465i	0.0594640	+	0.0745655i
$613$	−11.1294	−	13.9558i	−0.449511	−	0.563669i	0.504511	−	0.863405i	$-0.331673\pi$
$613$	−11.1294	−	13.9558i	−0.449511	−	0.563669i	−0.954022	+	0.299736i	$0.903101\pi$
$614$	−3.94669	−	17.2916i	−0.159276	−	0.697832i
$615$	2.37222	+	10.3934i	0.0956570	+	0.419101i
$616$	11.6369	+	2.90322i	0.468862	+	0.116974i
$617$	−8.27384	+	36.2501i	−0.333092	+	1.45937i	0.480016	+	0.877260i	$0.340631\pi$
$617$	−8.27384	+	36.2501i	−0.333092	+	1.45937i	−0.813108	+	0.582113i	$0.802226\pi$
$618$	−38.5476			−1.55061
$619$	−14.5322			−0.584097			−0.292049	−	0.956403i	$-0.594337\pi$
$619$	−14.5322			−0.584097			−0.292049	+	0.956403i	$0.594337\pi$
$620$	0.381036	−	1.66943i	0.0153028	−	0.0670458i
$621$	58.9475	−	28.3876i	2.36548	−	1.13916i
$622$	10.0987	+	12.6634i	0.404920	+	0.507754i
$623$	0.250450	−	12.4622i	0.0100341	−	0.499286i
$624$	4.24468	−	5.32267i	0.169923	−	0.213077i
$625$	−5.17322	+	22.6654i	−0.206929	+	0.906614i
$626$	8.70782	−	10.9193i	0.348035	−	0.436422i
$627$	−56.5958	+	27.2551i	−2.26022	+	1.08846i
$628$	7.97905	+	10.0054i	0.318399	+	0.399260i
$629$	3.70456	+	1.78402i	0.147711	+	0.0711337i
$630$	2.48254	+	5.43161i	0.0989068	+	0.216400i
$631$	−14.5356	+	7.00000i	−0.578655	+	0.278666i	−0.700231	−	0.713917i	$-0.746920\pi$
$631$	−14.5356	+	7.00000i	−0.578655	+	0.278666i	0.121576	+	0.992582i	$0.461205\pi$
$632$	3.25541	+	1.56772i	0.129493	+	0.0623606i
$633$	−11.7157	−	51.3300i	−0.465658	−	2.04018i
$634$	25.4637	+	12.2626i	1.01129	+	0.487012i
$635$	1.84382	−	2.31208i	0.0731697	−	0.0917519i
$636$	−24.6864			−0.978880
$637$	13.5930	+	7.23269i	0.538576	+	0.286570i
$638$	8.88525			0.351771
$639$	−0.462747	+	0.580266i	−0.0183060	+	0.0229550i
$640$	−0.309110	−	0.148859i	−0.0122186	−	0.00588419i
$641$	5.98221	+	26.2098i	0.236283	+	1.03522i	0.944315	+	0.329043i	$0.106726\pi$
$641$	5.98221	+	26.2098i	0.236283	+	1.03522i	−0.708032	+	0.706181i	$0.750417\pi$
$642$	34.4504	+	16.5904i	1.35965	+	0.654772i
$643$	−39.3791	+	18.9640i	−1.55296	+	0.747867i	−0.996546	−	0.0830375i	$-0.973538\pi$
$643$	−39.3791	+	18.9640i	−1.55296	+	0.747867i	−0.556415	+	0.830904i	$0.687824\pi$
$644$	−15.1616	−	3.78259i	−0.597452	−	0.149055i
$645$	−6.26916	−	3.01907i	−0.246848	−	0.118876i
$646$	1.00108	+	1.25532i	0.0393871	+	0.0493899i
$647$	−32.8878	+	15.8379i	−1.29295	+	0.622653i	−0.948686	−	0.316219i	$-0.897586\pi$
$647$	−32.8878	+	15.8379i	−1.29295	+	0.622653i	−0.344266	+	0.938872i	$0.611872\pi$
$648$	9.07054	−	11.3741i	0.356325	−	0.446817i
$649$	2.90625	−	12.7331i	0.114080	−	0.499819i
$650$	−6.69584	+	8.39632i	−0.262632	+	0.329331i
$651$	−16.9894	−	37.1715i	−0.665867	−	1.45687i
$652$	−3.33063	−	4.17648i	−0.130438	−	0.163564i
$653$	−32.0296	+	15.4247i	−1.25342	+	0.603614i	−0.938426	−	0.345481i	$-0.887716\pi$
$653$	−32.0296	+	15.4247i	−1.25342	+	0.603614i	−0.314991	+	0.949095i	$0.602002\pi$
$654$	0.446308	−	1.95540i	0.0174520	−	0.0764623i
$655$	2.56177			0.100097
$656$	−10.0396			−0.391980
$657$	1.06501	−	4.66610i	0.0415499	−	0.182042i
$658$	−1.04617	+	2.06519i	−0.0407839	+	0.0805093i
$659$	−3.38320	−	14.8228i	−0.131791	−	0.577414i	−0.997095	−	0.0761667i	$-0.975732\pi$
$659$	−3.38320	−	14.8228i	−0.131791	−	0.577414i	0.865304	−	0.501247i	$-0.167125\pi$
$660$	−1.07112	−	4.69287i	−0.0416931	−	0.182670i
$661$	22.8321	+	28.6306i	0.888066	+	1.11360i	0.992881	+	0.119108i	$0.0380035\pi$
$661$	22.8321	+	28.6306i	0.888066	+	1.11360i	−0.104815	+	0.994492i	$0.533425\pi$
$662$	−12.7610	−	16.0018i	−0.495970	−	0.621927i
$663$	−0.543270	−	2.38022i	−0.0210989	−	0.0924402i
$664$	−3.08049	−	13.4965i	−0.119546	−	0.523766i
$665$	1.68942	+	3.69632i	0.0655128	+	0.143337i
$666$	16.7857	−	73.5431i	0.650434	−	2.84974i
$667$	−11.5766			−0.448246
$668$	9.71972			0.376067
$669$	8.34209	−	36.5491i	0.322524	−	1.41307i
$670$	−2.94939	+	1.42035i	−0.113945	+	0.0548730i
$671$	−21.3615	−	26.7864i	−0.824651	−	1.03408i
$672$	−8.01836	+	1.66137i	−0.309315	+	0.0640889i
$673$	6.86713	−	8.61110i	0.264708	−	0.331934i	−0.631659	−	0.775247i	$-0.717626\pi$
$673$	6.86713	−	8.61110i	0.264708	−	0.331934i	0.896367	+	0.443313i	$0.146197\pi$
$674$	5.93042	−	25.9829i	0.228431	−	1.00082i
$675$	−33.7210	+	42.2848i	−1.29792	+	1.62754i
$676$	7.35333	−	3.54118i	0.282820	−	0.136199i
$677$	9.05773	+	11.3580i	0.348117	+	0.436525i	0.924806	−	0.380439i	$-0.124227\pi$
$677$	9.05773	+	11.3580i	0.348117	+	0.436525i	−0.576689	+	0.816964i	$0.695656\pi$
$678$	16.7843	+	8.08287i	0.644596	+	0.310421i
$679$	−4.58572	−	3.81021i	−0.175984	−	0.146222i
$680$	−0.110852	+	0.0533833i	−0.00425096	+	0.00204716i
$681$	−67.4029	−	32.4595i	−2.58288	−	1.24385i
$682$	5.03456	+	22.0579i	0.192783	+	0.844639i
$683$	−5.32821	−	2.56593i	−0.203878	−	0.0981826i	0.329158	−	0.944275i	$-0.393235\pi$
$683$	−5.32821	−	2.56593i	−0.203878	−	0.0981826i	−0.533037	+	0.846092i	$0.678949\pi$
$684$	18.3659	−	23.0301i	0.702239	−	0.880580i
$685$	−2.39340			−0.0914471
$686$	−7.01577	−	17.1400i	−0.267863	−	0.654408i
$687$	70.5932			2.69330
$688$	4.08566	−	5.12325i	0.155764	−	0.195322i
$689$	15.8072	+	7.61236i	0.602207	+	0.290008i
$690$	1.39555	+	6.11432i	0.0531278	+	0.232768i
$691$	−3.05716	−	1.47225i	−0.116300	−	0.0560071i	0.374829	−	0.927094i	$-0.377701\pi$
$691$	−3.05716	−	1.47225i	−0.116300	−	0.0560071i	−0.491129	+	0.871087i	$0.663416\pi$
$692$	−15.9357	+	7.67421i	−0.605783	+	0.291730i
$693$	−60.6915	−	50.4278i	−2.30548	−	1.91559i
$694$	−10.7386	−	5.17145i	−0.407632	−	0.196305i
$695$	2.99707	+	3.75821i	0.113685	+	0.142557i
$696$	−5.46569	+	2.63214i	−0.207176	+	0.0997709i
$697$	−2.24478	+	2.81487i	−0.0850273	+	0.106621i
$698$	−1.78079	+	7.80216i	−0.0674040	+	0.295316i
$699$	3.75100	−	4.70360i	0.141876	−	0.177906i
$700$	12.6487	−	2.62076i	0.478075	−	0.0990554i
$701$	6.11407	+	7.66680i	0.230925	+	0.289571i	0.883771	−	0.467920i	$-0.154996\pi$
$701$	6.11407	+	7.66680i	0.230925	+	0.289571i	−0.652846	+	0.757491i	$0.726425\pi$
$702$	−21.9538	+	10.5724i	−0.828591	+	0.399028i
$703$	11.4230	−	50.0475i	0.430827	−	1.88758i
$704$	4.53313			0.170849
$705$	0.929135			0.0349932
$706$	−7.29998	+	31.9833i	−0.274738	+	1.20371i
$707$	4.01442	+	8.78324i	0.150978	+	0.330328i
$708$	1.98426	+	8.69361i	0.0745731	+	0.326726i
$709$	10.6737	+	46.7644i	0.400858	+	1.75627i	0.623938	+	0.781474i	$0.285532\pi$
$709$	10.6737	+	46.7644i	0.400858	+	1.75627i	−0.223080	+	0.974800i	$0.571611\pi$
$710$	−0.0241310	−	0.0302593i	−0.000905620	−	0.00113561i
$711$	−14.8217	−	18.5858i	−0.555855	−	0.697021i
$712$	−1.04834	−	4.59309i	−0.0392883	−	0.172133i
$713$	−6.55951	−	28.7391i	−0.245656	−	1.07629i
$714$	−1.32704	+	2.61963i	−0.0496632	+	0.0980373i
$715$	−0.761245	+	3.33523i	−0.0284689	+	0.124731i
$716$	−0.801220			−0.0299430
$717$	7.11225			0.265612
$718$	3.15986	−	13.8442i	0.117925	−	0.516663i
$719$	29.9750	−	14.4352i	1.11788	−	0.538342i	0.218642	−	0.975805i	$-0.429837\pi$
$719$	29.9750	−	14.4352i	1.11788	−	0.538342i	0.899236	+	0.437464i	$0.144123\pi$
$720$	1.40736	+	1.76477i	0.0524490	+	0.0657690i
$721$	−13.6979	−	29.9700i	−0.510137	−	1.11614i
$722$	0.652064	−	0.817662i	0.0242673	−	0.0304302i
$723$	−11.8515	+	51.9247i	−0.440761	+	1.93110i
$724$	−4.06787	+	5.10095i	−0.151181	+	0.189575i
$725$	8.62194	−	4.15211i	0.320211	−	0.154205i
$726$	18.4275	+	23.1073i	0.683907	+	0.857592i
$727$	44.1219	+	21.2480i	1.63639	+	0.788045i	0.999859	+	0.0167953i	$0.00534635\pi$
$727$	44.1219	+	21.2480i	1.63639	+	0.788045i	0.636533	+	0.771250i	$0.280368\pi$
$728$	5.64663	+	1.40875i	0.209278	+	0.0522116i
$729$	6.43531	−	3.09908i	0.238345	−	0.114781i
$730$	0.224865	+	0.108289i	0.00832264	+	0.00400797i
$731$	−0.522917	−	2.29105i	−0.0193408	−	0.0847375i
$732$	21.0755	+	10.1494i	0.778972	+	0.375133i
$733$	1.52693	−	1.91471i	0.0563983	−	0.0707213i	−0.752832	−	0.658212i	$-0.771313\pi$
$733$	1.52693	−	1.91471i	0.0563983	−	0.0707213i	0.809231	+	0.587491i	$0.199884\pi$
$734$	−5.26154			−0.194207
$735$	−4.86415	+	5.62048i	−0.179417	+	0.207314i
$736$	−5.90621			−0.217706
$737$	26.9679	−	33.8167i	0.993376	−	1.24565i
$738$	59.5111	+	28.6590i	2.19063	+	1.05495i
$739$	4.09534	+	17.9429i	0.150649	+	0.660038i	0.992697	+	0.120635i	$0.0384931\pi$
$739$	4.09534	+	17.9429i	0.150649	+	0.660038i	−0.842047	+	0.539403i	$0.818650\pi$
$740$	3.54414	+	1.70677i	0.130285	+	0.0627420i
$741$	−27.4624	+	13.2252i	−1.00885	+	0.485839i
$742$	−8.77235	−	19.1932i	−0.322043	−	0.704605i
$743$	−24.8650	−	11.9743i	−0.912208	−	0.439296i	−0.0819249	−	0.996639i	$-0.526107\pi$
$743$	−24.8650	−	11.9743i	−0.912208	−	0.439296i	−0.830283	+	0.557342i	$0.811821\pi$
$744$	−9.63131	−	12.0773i	−0.353101	−	0.442775i
$745$	3.49909	−	1.68507i	0.128197	−	0.0617362i
$746$	14.4671	−	18.1412i	0.529678	−	0.664196i
$747$	−20.2671	+	88.7959i	−0.741534	+	3.24887i
$748$	1.01358	−	1.27099i	0.0370601	−	0.0464718i
$749$	−0.656763	+	32.6799i	−0.0239976	+	1.19410i
$750$	−6.54266	−	8.20423i	−0.238904	−	0.299576i
$751$	−26.1532	+	12.5947i	−0.954343	+	0.459587i	−0.845207	−	0.534440i	$-0.820523\pi$
$751$	−26.1532	+	12.5947i	−0.954343	+	0.459587i	−0.109136	+	0.994027i	$0.534808\pi$
$752$	−0.194707	+	0.853069i	−0.00710025	+	0.0311082i
$753$	−89.7377			−3.27022
$754$	4.31145			0.157014
$755$	0.434543	−	1.90386i	0.0158146	−	0.0692884i
$756$	28.4370	+	7.09460i	1.03424	+	0.258028i
$757$	−3.21410	−	14.0819i	−0.116819	−	0.511816i	−0.999151	−	0.0411897i	$-0.986885\pi$
$757$	−3.21410	−	14.0819i	−0.116819	−	0.511816i	0.882333	−	0.470626i	$-0.155972\pi$
$758$	−1.50850	−	6.60915i	−0.0547910	−	0.240055i
$759$	−51.6655	−	64.7865i	−1.87534	−	2.35160i
$760$	0.957733	+	1.20096i	0.0347406	+	0.0435634i
$761$	−4.33644	−	18.9992i	−0.157196	−	0.688719i	−0.990684	−	0.136182i	$-0.956517\pi$
$761$	−4.33644	−	18.9992i	−0.157196	−	0.688719i	0.833488	−	0.552537i	$-0.186340\pi$
$762$	−5.93637	−	26.0089i	−0.215052	−	0.942204i
$763$	1.67889	−	0.347859i	0.0607797	−	0.0125933i
$764$	−1.83691	+	8.04802i	−0.0664570	+	0.291167i
$765$	0.809475			0.0292666
$766$	−24.3248			−0.878892
$767$	1.41022	−	6.17857i	0.0509201	−	0.223095i
$768$	−2.78852	+	1.34288i	−0.100622	+	0.0484570i
$769$	29.1339	+	36.5327i	1.05059	+	1.31740i	0.946453	+	0.322841i	$0.104638\pi$
$769$	29.1339	+	36.5327i	1.05059	+	1.31740i	0.104141	+	0.994562i	$0.466791\pi$
$770$	3.26799	−	2.50039i	0.117770	−	0.0901078i
$771$	7.78755	−	9.76527i	0.280462	−	0.351688i
$772$	1.45244	−	6.36355i	0.0522744	−	0.229029i
$773$	−0.566747	+	0.710678i	−0.0203845	+	0.0255613i	−0.791919	−	0.610626i	$-0.790918\pi$
$773$	−0.566747	+	0.710678i	−0.0203845	+	0.0255613i	0.771535	+	0.636187i	$0.219489\pi$
$774$	−38.8431	+	18.7059i	−1.39619	+	0.672368i
$775$	15.1931	+	19.0515i	0.545751	+	0.684350i
$776$	−2.03030	−	0.977739i	−0.0728834	−	0.0350988i
$777$	91.9356	−	19.0487i	3.29817	−	0.683369i
$778$	−4.22112	+	2.03278i	−0.151334	+	0.0728788i
$779$	40.4984	+	19.5030i	1.45101	+	0.698768i
$780$	−0.519744	−	2.27715i	−0.0186098	−	0.0815350i
$781$	0.460735	+	0.221878i	0.0164864	+	0.00793943i
$782$	−1.32059	+	1.65596i	−0.0472241	+	0.0592171i
$783$	21.7129			0.775957
$784$	−4.14102	−	5.64375i	−0.147894	−	0.201563i
$785$	4.39061			0.156708
$786$	14.4089	−	18.0682i	0.513948	−	0.644470i
$787$	−19.9818	−	9.62273i	−0.712274	−	0.343013i	0.0424109	−	0.999100i	$-0.486496\pi$
$787$	−19.9818	−	9.62273i	−0.712274	−	0.343013i	−0.754685	+	0.656087i	$0.772210\pi$
$788$	1.56633	+	6.86253i	0.0557981	+	0.244468i
$789$	−71.2686	−	34.3212i	−2.53723	−	1.22187i
$790$	1.11689	−	0.537864i	0.0397370	−	0.0191363i
$791$	−0.319976	+	15.9217i	−0.0113770	+	0.566111i
$792$	−26.8708	−	12.9403i	−0.954811	−	0.459813i
$793$	−10.3654	−	12.9978i	−0.368085	−	0.461564i
$794$	−3.94571	+	1.90015i	−0.140028	+	0.0674340i
$795$	−5.28069	+	6.62177i	−0.187287	+	0.234850i
$796$	−1.11680	+	4.89302i	−0.0395839	+	0.173428i
$797$	13.7555	−	17.2489i	0.487246	−	0.610987i	−0.476054	−	0.879416i	$-0.657933\pi$
$797$	13.7555	−	17.2489i	0.487246	−	0.610987i	0.963299	+	0.268429i	$0.0865046\pi$
$798$	35.5724	+	8.87477i	1.25925	+	0.314163i
$799$	0.195646	+	0.245332i	0.00692144	+	0.00867921i
$800$	4.39879	−	2.11835i	0.155521	−	0.0748949i
$801$	−6.89723	+	30.2187i	−0.243702	+	1.06773i
$802$	6.72815			0.237579
$803$	−3.29768			−0.116373
$804$	−6.57135	+	28.7909i	−0.231754	+	1.01538i
$805$	−4.25786	+	3.25775i	−0.150070	+	0.114821i
$806$	2.44295	+	10.7033i	0.0860493	+	0.377007i
$807$	−9.16844	−	40.1696i	−0.322744	−	1.41404i
$808$	2.27578	+	2.85374i	0.0800616	+	0.100394i
$809$	−7.58037	−	9.50548i	−0.266512	−	0.334195i	0.630510	−	0.776181i	$-0.282846\pi$
$809$	−7.58037	−	9.50548i	−0.266512	−	0.334195i	−0.897022	+	0.441986i	$0.854274\pi$
$810$	−1.11065	−	4.86608i	−0.0390243	−	0.170977i
$811$	−5.68594	−	24.9117i	−0.199660	−	0.874769i	−0.971139	−	0.238514i	$-0.923340\pi$
$811$	−5.68594	−	24.9117i	−0.199660	−	0.874769i	0.771479	−	0.636255i	$-0.219517\pi$
$812$	−3.98868	−	3.31414i	−0.139975	−	0.116303i
$813$	−9.81818	+	43.0163i	−0.344339	+	1.50865i
$814$	−51.9753			−1.82173
$815$	−1.83274			−0.0641980
$816$	−0.246981	+	1.08210i	−0.00864607	+	0.0378809i
$817$	−26.4335	+	12.7297i	−0.924791	+	0.445356i
$818$	−5.58466	−	7.00294i	−0.195263	−	0.244852i
$819$	−29.4497	−	24.4694i	−1.02906	−	0.855029i
$820$	−2.14758	+	2.69298i	−0.0749966	+	0.0940428i
$821$	8.08500	−	35.4227i	0.282168	−	1.23626i	−0.612839	−	0.790208i	$-0.709972\pi$
$821$	8.08500	−	35.4227i	0.282168	−	1.23626i	0.895007	−	0.446052i	$-0.147170\pi$
$822$	−13.4619	+	16.8807i	−0.469537	+	0.588781i
$823$	−35.4835	+	17.0880i	−1.23688	+	0.595649i	−0.933963	−	0.357369i	$-0.883674\pi$
$823$	−35.4835	+	17.0880i	−1.23688	+	0.595649i	−0.302914	+	0.953018i	$0.597960\pi$
$824$	−7.76537	−	9.73747i	−0.270520	−	0.339221i
$825$	61.7158	+	29.7208i	2.14867	+	1.03474i
$826$	−6.05401	+	4.63201i	−0.210646	+	0.161168i
$827$	−16.1530	+	7.77887i	−0.561694	+	0.270498i	−0.693113	−	0.720829i	$-0.743761\pi$
$827$	−16.1530	+	7.77887i	−0.561694	+	0.270498i	0.131418	+	0.991327i	$0.458047\pi$
$828$	35.0098	+	16.8598i	1.21668	+	0.585920i
$829$	0.377071	+	1.65206i	0.0130962	+	0.0573784i	0.981054	−	0.193735i	$-0.0620603\pi$
$829$	0.377071	+	1.65206i	0.0130962	+	0.0573784i	−0.967958	+	0.251114i	$0.919203\pi$
$830$	−4.27919	−	2.06075i	−0.148533	−	0.0715297i
$831$	29.9180	−	37.5160i	1.03784	−	1.30142i
$832$	2.19964			0.0762589
$833$	−2.50828	−	0.100858i	−0.0869068	−	0.00349451i
$834$	43.3640			1.50157
$835$	2.07915	−	2.60717i	0.0719520	−	0.0902249i
$836$	−18.2861	−	8.80611i	−0.632437	−	0.304566i
$837$	12.3030	+	53.9028i	0.425253	+	1.86315i
$838$	−0.662842	−	0.319208i	−0.0228975	−	0.0110269i
$839$	−17.8930	+	8.61682i	−0.617735	+	0.297486i	−0.716459	−	0.697629i	$-0.754238\pi$
$839$	−17.8930	+	8.61682i	−0.617735	+	0.297486i	0.0987238	+	0.995115i	$0.468524\pi$
$840$	−1.26957	+	2.50619i	−0.0438044	+	0.0864719i
$841$	22.6667	+	10.9157i	0.781610	+	0.376404i
$842$	−8.21694	−	10.3037i	−0.283174	−	0.355089i
$843$	7.40024	−	3.56377i	0.254878	−	0.122743i
$844$	10.6063	−	13.2999i	0.365084	−	0.457800i
$845$	0.623086	−	2.72992i	0.0214348	−	0.0939120i
$846$	3.58932	−	4.50087i	0.123403	−	0.154743i
$847$	−11.4173	+	22.5382i	−0.392302	+	0.774422i
$848$	−4.97305	−	6.23601i	−0.170775	−	0.214146i
$849$	84.3028	−	40.5981i	2.89326	−	1.39332i
$850$	0.389604	−	1.70697i	0.0133633	−	0.0585485i
$851$	67.7184			2.32136
$852$	−0.349146			−0.0119615
$853$	3.81913	−	16.7327i	0.130765	−	0.572917i	−0.866512	−	0.499157i	$-0.833643\pi$
$853$	3.81913	−	16.7327i	0.130765	−	0.572917i	0.997276	−	0.0737597i	$-0.0234998\pi$
$854$	−0.401783	+	19.9924i	−0.0137487	+	0.684125i
$855$	−2.24883	−	9.85278i	−0.0769085	−	0.336958i
$856$	2.74910	+	12.0446i	0.0939623	+	0.411676i
$857$	−3.83925	−	4.81427i	−0.131146	−	0.164452i	0.711922	−	0.702258i	$-0.247825\pi$
$857$	−3.83925	−	4.81427i	−0.131146	−	0.164452i	−0.843069	+	0.537806i	$0.819253\pi$
$858$	19.2417	+	24.1284i	0.656902	+	0.823729i
$859$	−4.56009	−	19.9791i	−0.155588	−	0.681676i	−0.991202	−	0.132359i	$-0.957745\pi$
$859$	−4.56009	−	19.9791i	−0.155588	−	0.681676i	0.835614	−	0.549318i	$-0.185112\pi$
$860$	−0.500273	−	2.19184i	−0.0170592	−	0.0747410i
$861$	−1.65184	+	82.1943i	−0.0562947	+	2.80117i
$862$	−3.17517	+	13.9113i	−0.108147	+	0.473822i
$863$	−38.4619			−1.30926			−0.654629	−	0.755950i	$-0.727175\pi$
$863$	−38.4619			−1.30926			−0.654629	+	0.755950i	$0.727175\pi$
$864$	11.0776			0.376869
$865$	−1.35031	+	5.91610i	−0.0459120	+	0.201153i
$866$	−21.1543	+	10.1874i	−0.718852	+	0.346181i
$867$	−32.5570	−	40.8252i	−1.10569	−	1.38650i
$868$	5.96737	−	11.7798i	0.202546	−	0.399834i
$869$	−10.2123	+	12.8058i	−0.346429	+	0.434408i
$870$	−0.463137	+	2.02913i	−0.0157018	+	0.0687941i
$871$	13.0858	−	16.4091i	0.443396	−	0.556001i
$872$	0.583861	−	0.281173i	0.0197720	−	0.00952171i
$873$	9.24380	+	11.5914i	0.312855	+	0.392308i
$874$	23.8249	+	11.4734i	0.805888	+	0.388095i
$875$	4.05370	−	8.00218i	0.137040	−	0.270523i
$876$	2.02854	−	0.976894i	0.0685380	−	0.0330062i
$877$	−15.2652	−	7.35131i	−0.515468	−	0.248236i	0.158018	−	0.987436i	$-0.449490\pi$
$877$	−15.2652	−	7.35131i	−0.515468	−	0.248236i	−0.673486	+	0.739200i	$0.735204\pi$
$878$	0.104587	+	0.458224i	0.00352963	+	0.0154643i
$879$	84.0565	+	40.4795i	2.83516	+	1.36534i
$880$	0.969686	−	1.21595i	0.0326881	−	0.0409896i
$881$	−19.0441			−0.641613			−0.320807	−	0.947145i	$-0.603954\pi$
$881$	−19.0441			−0.641613			−0.320807	+	0.947145i	$0.603954\pi$
$882$	8.43581	+	45.2750i	0.284048	+	1.52449i
$883$	−44.4324			−1.49527			−0.747634	−	0.664111i	$-0.768810\pi$
$883$	−44.4324			−1.49527			−0.747634	+	0.664111i	$0.768810\pi$
$884$	0.491825	−	0.616728i	0.0165419	−	0.0207428i
$885$	2.75639	+	1.32741i	0.0926550	+	0.0446203i
$886$	0.809453	+	3.54644i	0.0271941	+	0.119145i
$887$	40.3112	+	19.4128i	1.35352	+	0.651819i	0.963181	−	0.268854i	$-0.0866448\pi$
$887$	40.3112	+	19.4128i	1.35352	+	0.651819i	0.390335	+	0.920673i	$0.372359\pi$
$888$	31.9722	−	15.3970i	1.07292	−	0.516689i
$889$	18.1120	−	13.8577i	0.607456	−	0.464773i
$890$	−1.45628	−	0.701308i	−0.0488146	−	0.0235079i
$891$	41.1180	+	51.5603i	1.37750	+	1.72734i
$892$	10.9131	−	5.25549i	0.365399	−	0.175967i
$893$	2.44260	−	3.06293i	0.0817386	−	0.102497i
$894$	7.79609	−	34.1569i	0.260740	−	1.14238i
$895$	−0.171390	+	0.214916i	−0.00572892	+	0.00718384i
$896$	−2.03497	−	1.69083i	−0.0679835	−	0.0564866i
$897$	−25.0700	−	31.4368i	−0.837062	−	1.04964i
$898$	14.2298	−	6.85270i	0.474854	−	0.228677i
$899$	2.17688	−	9.53753i	0.0726030	−	0.318094i
$900$	−32.1215			−1.07072
$901$	−2.86037			−0.0952929
$902$	10.1271	−	44.3698i	0.337196	−	1.47735i
$903$	−41.2719	−	34.2923i	−1.37344	−	1.14118i
$904$	1.33937	+	5.86815i	0.0445466	+	0.195172i
$905$	0.498095	+	2.18230i	0.0165572	+	0.0725420i
$906$	−10.9838	−	13.7732i	−0.364912	−	0.457585i
$907$	8.96916	+	11.2470i	0.297816	+	0.373450i	0.908114	−	0.418722i	$-0.137522\pi$
$907$	8.96916	+	11.2470i	0.297816	+	0.373450i	−0.610298	+	0.792172i	$0.708950\pi$
$908$	−5.37868	−	23.5655i	−0.178498	−	0.782050i
$909$	−5.34371	−	23.4123i	−0.177240	−	0.776538i
$910$	1.58575	−	1.21328i	0.0525671	−	0.0402198i
$911$	−10.6473	+	46.6490i	−0.352761	+	1.54555i	0.418013	+	0.908441i	$0.362727\pi$
$911$	−10.6473	+	46.6490i	−0.352761	+	1.54555i	−0.770774	+	0.637108i	$0.780130\pi$
$912$	13.8572			0.458858
$913$	62.7549			2.07688
$914$	1.53798	−	6.73833i	0.0508718	−	0.222884i
$915$	7.23070	−	3.48212i	0.239039	−	0.115115i
$916$	14.2209	+	17.8325i	0.469873	+	0.589202i
$917$	19.1679	+	4.78209i	0.632979	+	0.157919i
$918$	2.47688	−	3.10591i	0.0817493	−	0.102510i
$919$	0.526778	−	2.30797i	0.0173768	−	0.0761327i	−0.965496	−	0.260418i	$-0.916140\pi$
$919$	0.526778	−	2.30797i	0.0173768	−	0.0761327i	0.982873	+	0.184285i	$0.0589969\pi$
$920$	−1.26340	+	1.58425i	−0.0416531	+	0.0522313i
$921$	−49.4580	+	23.8177i	−1.62970	+	0.784820i
$922$	−17.5162	−	21.9646i	−0.576865	−	0.723366i
$923$	0.223565	+	0.107663i	0.00735874	+	0.00354378i
$924$	0.745850	−	37.1128i	0.0245367	−	1.22092i
$925$	−50.4350	+	24.2882i	−1.65829	+	0.798591i
$926$	−7.16021	−	3.44818i	−0.235299	−	0.113314i
$927$	18.2337	+	79.8871i	0.598874	+	2.62384i
$928$	−1.76596	−	0.850442i	−0.0579705	−	0.0279171i
$929$	−14.9935	+	18.8013i	−0.491922	+	0.616850i	−0.964386	−	0.264500i	$-0.914793\pi$
$929$	−14.9935	+	18.8013i	−0.491922	+	0.616850i	0.472464	+	0.881350i	$0.343365\pi$
$930$	−5.29980			−0.173787
$931$	5.74073	+	30.8105i	0.188145	+	1.00977i
$932$	1.94381			0.0636715
$933$	31.2557	−	39.1934i	1.02327	−	1.28313i
$934$	2.48951	+	1.19888i	0.0814593	+	0.0392287i
$935$	−0.124108	−	0.543755i	−0.00405878	−	0.0177827i
$936$	−13.0387	−	6.27909i	−0.426182	−	0.205239i
$937$	−1.49179	+	0.718409i	−0.0487347	+	0.0234694i	−0.458092	−	0.888905i	$-0.651467\pi$
$937$	−1.49179	+	0.718409i	−0.0487347	+	0.0234694i	0.409358	+	0.912374i	$0.365753\pi$
$938$	−24.7196	+	5.12180i	−0.807122	+	0.167233i
$939$	−38.9452	−	18.7550i	−1.27093	−	0.612047i
$940$	0.187173	+	0.234708i	0.00610492	+	0.00765533i
$941$	17.5622	−	8.45753i	0.572512	−	0.275707i	−0.125146	−	0.992138i	$-0.539940\pi$
$941$	17.5622	−	8.45753i	0.572512	−	0.275707i	0.697658	+	0.716431i	$0.254226\pi$
$942$	24.6954	−	30.9670i	0.804618	−	1.00896i
$943$	−13.1946	+	57.8093i	−0.429675	+	1.88253i
$944$	−1.79636	+	2.25256i	−0.0584665	+	0.0733147i
$945$	7.98601	−	6.11021i	0.259785	−	0.198765i
$946$	18.5208	+	23.2244i	0.602165	+	0.755090i
$947$	−34.9128	+	16.8131i	−1.13451	+	0.546353i	−0.904347	−	0.426798i	$-0.859641\pi$
$947$	−34.9128	+	16.8131i	−1.13451	+	0.546353i	−0.230167	+	0.973151i	$0.573927\pi$
$948$	2.48846	−	10.9027i	0.0808214	−	0.354102i
$949$	−1.60015			−0.0519432
$950$	−21.8593			−0.709209
$951$	19.4646	−	85.2801i	0.631183	−	2.76540i
$952$	−0.929074	+	0.192501i	−0.0301115	+	0.00623898i
$953$	−8.53535	−	37.3958i	−0.276487	−	1.21137i	−0.902201	−	0.431316i	$-0.858049\pi$
$953$	−8.53535	−	37.3958i	−0.276487	−	1.21137i	0.625714	−	0.780053i	$-0.284808\pi$
$954$	11.6771	+	51.1609i	0.378061	+	1.65639i
$955$	1.76583	+	2.21428i	0.0571409	+	0.0716525i
$956$	1.43276	+	1.79662i	0.0463387	+	0.0581069i
$957$	−6.11934	−	26.8106i	−0.197810	−	0.866663i
$958$	−4.07708	−	17.8629i	−0.131725	−	0.577123i
$959$	−17.9081	−	4.46780i	−0.578283	−	0.144273i
$960$	−0.236286	+	1.03524i	−0.00762610	+	0.0334121i
$961$	−6.08940			−0.196432
$962$	−25.2203			−0.813135
$963$	18.0868	−	79.2435i	0.582840	−	2.55359i
$964$	−15.5041	+	7.46639i	−0.499354	+	0.240476i
$965$	−1.39624	−	1.75083i	−0.0449465	−	0.0563611i
$966$	−0.971765	+	48.3542i	−0.0312660	+	1.55577i
$967$	21.6606	−	27.1615i	0.696557	−	0.873454i	−0.300204	−	0.953875i	$-0.597055\pi$
$967$	21.6606	−	27.1615i	0.696557	−	0.873454i	0.996761	+	0.0804205i	$0.0256263\pi$
$968$	−2.12492	+	9.30989i	−0.0682976	+	0.299231i
$969$	3.09838	−	3.88524i	0.0995342	−	0.124812i
$970$	−0.696566	+	0.335449i	−0.0223654	+	0.0107706i
$971$	20.0030	+	25.0830i	0.641927	+	0.804951i	0.991242	−	0.132054i	$-0.0421573\pi$
$971$	20.0030	+	25.0830i	0.641927	+	0.804951i	−0.349316	+	0.937005i	$0.613586\pi$
$972$	−10.6256	−	5.11704i	−0.340818	−	0.164129i
$973$	15.4094	+	33.7147i	0.494004	+	1.08084i
$974$	−14.5904	+	7.02637i	−0.467507	+	0.225139i
$975$	29.9467	+	14.4216i	0.959063	+	0.461860i
$976$	1.68180	+	7.36844i	0.0538331	+	0.235858i
$977$	−11.7190	−	5.64356i	−0.374923	−	0.180554i	0.236926	−	0.971528i	$-0.423860\pi$
$977$	−11.7190	−	5.64356i	−0.374923	−	0.180554i	−0.611850	+	0.790974i	$0.709574\pi$
$978$	−10.3084	+	12.9263i	−0.329626	+	0.413338i
$979$	21.3565			0.682558
$980$	−2.39966	−	0.0964902i	−0.0766544	−	0.00308226i
$981$	−4.26355			−0.136125
$982$	−22.3097	+	27.9755i	−0.711932	+	0.892735i
$983$	37.4520	+	18.0359i	1.19453	+	0.575256i	0.922112	−	0.386922i	$-0.126462\pi$
$983$	37.4520	+	18.0359i	1.19453	+	0.575256i	0.272420	+	0.962178i	$0.412176\pi$
$984$	6.91435	+	30.2937i	0.220421	+	0.965729i
$985$	2.17583	+	1.04782i	0.0693276	+	0.0333864i
$986$	−0.633301	+	0.304982i	−0.0201684	+	0.00971259i
$987$	6.95205	+	1.73443i	0.221286	+	0.0552075i
$988$	−8.87307	−	4.27304i	−0.282290	−	0.135944i
$989$	−24.1307	−	30.2590i	−0.767313	−	0.962180i
$990$	−9.21898	+	4.43963i	−0.292998	+	0.141101i
$991$	37.2826	−	46.7509i	1.18432	−	1.48509i	0.347446	−	0.937700i	$-0.387049\pi$
$991$	37.2826	−	46.7509i	1.18432	−	1.48509i	0.836876	−	0.547393i	$-0.184380\pi$
$992$	1.11061	−	4.86592i	0.0352620	−	0.154493i
$993$	−39.4956	+	49.5259i	−1.25336	+	1.57166i
$994$	−0.124069	−	0.271454i	−0.00393524	−	0.00861001i
$995$	1.07359	+	1.34623i	0.0340349	+	0.0426785i
$996$	−38.6032	+	18.5903i	−1.22319	+	0.589056i
$997$	6.11524	−	26.7926i	0.193672	−	0.848530i	−0.780936	−	0.624611i	$-0.785258\pi$
$997$	6.11524	−	26.7926i	0.193672	−	0.848530i	0.974608	−	0.223919i	$-0.0718853\pi$
$998$	−35.3815			−1.11998
$999$	−127.012			−4.01849

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.a.43.1	✓	18
3.2	odd	2		882.2.u.j.631.2		18
4.3	odd	2		784.2.u.c.337.3		18
7.2	even	3		686.2.g.i.165.3		36
7.3	odd	6		686.2.g.j.569.1		36
7.4	even	3		686.2.g.i.569.3		36
7.5	odd	6		686.2.g.j.165.1		36
7.6	odd	2		686.2.e.a.295.3		18
49.3	odd	42		686.2.g.j.79.1		36
49.5	odd	42		686.2.g.j.557.1		36
49.8	even	7	inner	98.2.e.a.57.1	yes	18
49.20	odd	14		4802.2.a.e.1.2		9
49.29	even	7		4802.2.a.h.1.8		9
49.41	odd	14		686.2.e.a.393.3		18
49.44	even	21		686.2.g.i.557.3		36
49.46	even	21		686.2.g.i.79.3		36
147.8	odd	14		882.2.u.j.253.2		18
196.155	odd	14		784.2.u.c.449.3		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.a.43.1	✓	18	1.1	even	1	trivial
98.2.e.a.57.1	yes	18	49.8	even	7	inner
686.2.e.a.295.3		18	7.6	odd	2
686.2.e.a.393.3		18	49.41	odd	14
686.2.g.i.79.3		36	49.46	even	21
686.2.g.i.165.3		36	7.2	even	3
686.2.g.i.557.3		36	49.44	even	21
686.2.g.i.569.3		36	7.4	even	3
686.2.g.j.79.1		36	49.3	odd	42
686.2.g.j.165.1		36	7.5	odd	6
686.2.g.j.557.1		36	49.5	odd	42
686.2.g.j.569.1		36	7.3	odd	6
784.2.u.c.337.3		18	4.3	odd	2
784.2.u.c.449.3		18	196.155	odd	14
882.2.u.j.253.2		18	147.8	odd	14
882.2.u.j.631.2		18	3.2	odd	2
4802.2.a.e.1.2		9	49.20	odd	14
4802.2.a.h.1.8		9	49.29	even	7

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.623490 - 0.781831i) q^{2} +(-2.78852 - 1.34288i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.309110 - 0.148859i) q^{5} +(-2.78852 + 1.34288i) q^{6} +(-2.03497 - 1.69083i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(4.10205 + 5.14381i) q^{9} +O(q^{10})\)	\(q+(0.623490 - 0.781831i) q^{2} +(-2.78852 - 1.34288i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.309110 - 0.148859i) q^{5} +(-2.78852 + 1.34288i) q^{6} +(-2.03497 - 1.69083i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(4.10205 + 5.14381i) q^{9} +(-0.309110 + 0.148859i) q^{10} +(2.82636 - 3.54415i) q^{11} +(-0.688708 + 3.01743i) q^{12} +(1.37145 - 1.71975i) q^{13} +(-2.59073 + 0.536789i) q^{14} +(0.662059 + 0.830195i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-0.0797994 + 0.349624i) q^{17} +6.57918 q^{18} +4.47726 q^{19} +(-0.0763438 + 0.334484i) q^{20} +(3.40397 + 7.44763i) q^{21} +(-1.00872 - 4.41948i) q^{22} +(1.31425 + 5.75812i) q^{23} +(1.92972 + 2.41979i) q^{24} +(-3.04406 - 3.81713i) q^{25} +(-0.489466 - 2.14449i) q^{26} +(-2.46501 - 10.7999i) q^{27} +(-1.19561 + 2.36019i) q^{28} +(-0.436156 + 1.91093i) q^{29} +1.06186 q^{30} -4.99105 q^{31} +(-0.222521 + 0.974928i) q^{32} +(-12.6407 + 6.08746i) q^{33} +(0.223593 + 0.280377i) q^{34} +(0.377333 + 0.825576i) q^{35} +(4.10205 - 5.14381i) q^{36} +(2.55134 - 11.1782i) q^{37} +(2.79152 - 3.50046i) q^{38} +(-6.13375 + 2.95386i) q^{39} +(0.213911 + 0.268235i) q^{40} +(9.04537 + 4.35602i) q^{41} +(7.94513 + 1.98219i) q^{42} +(-5.90395 + 2.84319i) q^{43} +(-4.08421 - 1.96685i) q^{44} +(-0.502279 - 2.20063i) q^{45} +(5.32131 + 2.56261i) q^{46} +(0.545558 - 0.684108i) q^{47} +3.09502 q^{48} +(1.28220 + 6.88157i) q^{49} -4.88229 q^{50} +(0.692026 - 0.867773i) q^{51} +(-1.98181 - 0.954389i) q^{52} +(1.77486 + 7.77618i) q^{53} +(-9.98060 - 4.80641i) q^{54} +(-1.40124 + 0.674800i) q^{55} +(1.09982 + 2.40632i) q^{56} +(-12.4849 - 6.01242i) q^{57} +(1.22208 + 1.53244i) q^{58} +(2.59581 - 1.25008i) q^{59} +(0.662059 - 0.830195i) q^{60} +(1.68180 - 7.36844i) q^{61} +(-3.11187 + 3.90216i) q^{62} +(0.349752 - 17.4033i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-0.679931 + 0.327437i) q^{65} +(-3.12200 + 13.6784i) q^{66} +9.54156 q^{67} +0.358615 q^{68} +(4.06765 - 17.8215i) q^{69} +(0.880725 + 0.219727i) q^{70} +(0.0251023 + 0.109980i) q^{71} +(-1.46400 - 6.41422i) q^{72} +(-0.453565 - 0.568752i) q^{73} +(-7.14871 - 8.96420i) q^{74} +(3.36247 + 14.7320i) q^{75} +(-0.996283 - 4.36500i) q^{76} +(-11.7441 + 2.43333i) q^{77} +(-1.51491 + 6.63725i) q^{78} -3.61323 q^{79} +0.343086 q^{80} +(-3.23724 + 14.1833i) q^{81} +(9.04537 - 4.35602i) q^{82} +(8.63134 + 10.8234i) q^{83} +(6.50345 - 4.97588i) q^{84} +(0.0767116 - 0.0961934i) q^{85} +(-1.45815 + 6.38859i) q^{86} +(3.78238 - 4.74295i) q^{87} +(-4.08421 + 1.96685i) q^{88} +(2.93739 + 3.68337i) q^{89} +(-2.03369 - 0.979372i) q^{90} +(-5.69867 + 1.18074i) q^{91} +(5.32131 - 2.56261i) q^{92} +(13.9177 + 6.70239i) q^{93} +(-0.194707 - 0.853069i) q^{94} +(-1.38396 - 0.666482i) q^{95} +(1.92972 - 2.41979i) q^{96} +2.25346 q^{97} +(6.17966 + 3.28812i) q^{98} +29.8243 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

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