LMFDB - Embedded newform 70.2.k.a.33.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [70,2,Mod(3,70)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(70, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("70.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 70 = 2 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	70.k (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.558952814149$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 10x^{14} + 61x^{12} + 266x^{10} + 852x^{8} + 1438x^{6} + 1933x^{4} + 3038x^{2} + 2401 $ x^16 + 10x^14 + 61x^12 + 266x^10 + 852x^8 + 1438x^6 + 1933x^4 + 3038*x^2 + 2401
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			33.4
Root			$-0.144868 - 1.25092i$ of defining polynomial
Character	$\chi$	$=$	70.33
Dual form			70.2.k.a.17.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.258819 + 0.965926i) q^{2} +(1.95290 + 0.523277i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.82591 - 1.29076i) q^{5} +2.02179i q^{6} +(-1.90155 - 1.83959i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.941911 + 0.543813i) q^{9} +O(q^{10})$	\(q+(0.258819 + 0.965926i) q^{2} +(1.95290 + 0.523277i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.82591 - 1.29076i) q^{5} +2.02179i q^{6} +(-1.90155 - 1.83959i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.941911 + 0.543813i) q^{9} +(0.774197 - 2.09777i) q^{10} +(2.01999 + 3.49872i) q^{11} +(-1.95290 + 0.523277i) q^{12} +(-0.204875 + 0.204875i) q^{13} +(1.28475 - 2.31288i) q^{14} +(-2.89039 - 3.47617i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.527924 + 1.97024i) q^{17} +(-0.281498 + 1.05057i) q^{18} +(3.10166 - 5.37224i) q^{19} +(2.22666 + 0.204875i) q^{20} +(-2.75092 - 4.58757i) q^{21} +(-2.85669 + 2.85669i) q^{22} +(-4.38350 + 1.17456i) q^{23} +(-1.01089 - 1.75092i) q^{24} +(1.66789 + 4.71361i) q^{25} +(-0.250919 - 0.144868i) q^{26} +(-2.73397 - 2.73397i) q^{27} +(2.56659 + 0.642357i) q^{28} +7.15869i q^{29} +(2.60964 - 3.69160i) q^{30} +(6.33287 - 3.65628i) q^{31} +(0.965926 + 0.258819i) q^{32} +(2.11403 + 7.88965i) q^{33} -2.03974 q^{34} +(1.09759 + 5.81337i) q^{35} -1.08763 q^{36} +(1.19723 + 4.46814i) q^{37} +(5.99195 + 1.60554i) q^{38} +(-0.507306 + 0.292893i) q^{39} +(0.378409 + 2.20382i) q^{40} +2.58745i q^{41} +(3.71926 - 3.84454i) q^{42} +(-4.97801 - 4.97801i) q^{43} +(-3.49872 - 2.01999i) q^{44} +(-1.01791 - 2.20873i) q^{45} +(-2.26907 - 3.93014i) q^{46} +(-0.304388 + 0.0815604i) q^{47} +(1.42962 - 1.42962i) q^{48} +(0.231803 + 6.99616i) q^{49} +(-4.12132 + 2.83103i) q^{50} +(-2.06196 + 3.57142i) q^{51} +(0.0749894 - 0.279864i) q^{52} +(2.14370 - 8.00039i) q^{53} +(1.93321 - 3.34841i) q^{54} +(0.827689 - 8.99566i) q^{55} +(0.0438127 + 2.64539i) q^{56} +(8.86840 - 8.86840i) q^{57} +(-6.91477 + 1.85281i) q^{58} +(-0.427702 - 0.740802i) q^{59} +(4.24124 + 1.56526i) q^{60} +(-5.99356 - 3.46038i) q^{61} +(5.17076 + 5.17076i) q^{62} +(-0.790700 - 2.76682i) q^{63} +1.00000i q^{64} +(0.638527 - 0.109639i) q^{65} +(-7.07367 + 4.08398i) q^{66} +(3.05106 + 0.817530i) q^{67} +(-0.527924 - 1.97024i) q^{68} -9.17514 q^{69} +(-5.33121 + 2.56480i) q^{70} +7.12240 q^{71} +(-0.281498 - 1.05057i) q^{72} +(-11.1331 - 2.98311i) q^{73} +(-4.00603 + 2.31288i) q^{74} +(0.790684 + 10.0780i) q^{75} +6.20333i q^{76} +(2.59511 - 10.3690i) q^{77} +(-0.414214 - 0.414214i) q^{78} +(4.39618 + 2.53813i) q^{79} +(-2.03078 + 0.935904i) q^{80} +(-5.53997 - 9.59552i) q^{81} +(-2.49929 + 0.669683i) q^{82} +(3.85372 - 3.85372i) q^{83} +(4.67615 + 2.59749i) q^{84} +(3.50704 - 2.91605i) q^{85} +(3.51999 - 6.09680i) q^{86} +(-3.74598 + 13.9802i) q^{87} +(1.04562 - 3.90231i) q^{88} +(1.53615 - 2.66069i) q^{89} +(1.87002 - 1.55489i) q^{90} +(0.766467 - 0.0126942i) q^{91} +(3.20895 - 3.20895i) q^{92} +(14.2807 - 3.82650i) q^{93} +(-0.157563 - 0.272906i) q^{94} +(-12.5976 + 5.80572i) q^{95} +(1.75092 + 1.01089i) q^{96} +(6.63103 + 6.63103i) q^{97} +(-6.69778 + 2.03464i) q^{98} +4.39398i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 12 q^{5} + 8 q^{7}+O(q^{10}) $ 16 * q - 12 * q^5 + 8 * q^7	$ 16 q - 12 q^{5} + 8 q^{7} - 12 q^{10} - 12 q^{11} + 16 q^{15} + 8 q^{16} - 36 q^{17} - 8 q^{18} - 28 q^{21} - 8 q^{22} - 4 q^{23} + 12 q^{25} + 12 q^{26} + 4 q^{28} + 20 q^{30} + 24 q^{31} + 48 q^{33} + 8 q^{35} - 8 q^{36} + 4 q^{37} + 24 q^{38} + 36 q^{42} - 8 q^{43} - 12 q^{45} - 8 q^{46} + 12 q^{47} - 32 q^{50} - 16 q^{51} - 28 q^{53} - 4 q^{56} + 8 q^{57} - 32 q^{58} + 8 q^{60} - 12 q^{61} - 36 q^{63} - 8 q^{65} + 32 q^{67} - 36 q^{68} - 12 q^{70} + 16 q^{71} - 8 q^{72} - 12 q^{73} - 48 q^{75} + 16 q^{77} + 16 q^{78} - 12 q^{80} - 48 q^{82} + 24 q^{85} + 12 q^{86} - 24 q^{87} - 4 q^{88} - 16 q^{91} + 8 q^{92} + 28 q^{93} + 20 q^{95} + 12 q^{96} + 40 q^{98}+O(q^{100}) $ 16 * q - 12 * q^5 + 8 * q^7 - 12 * q^10 - 12 * q^11 + 16 * q^15 + 8 * q^16 - 36 * q^17 - 8 * q^18 - 28 * q^21 - 8 * q^22 - 4 * q^23 + 12 * q^25 + 12 * q^26 + 4 * q^28 + 20 * q^30 + 24 * q^31 + 48 * q^33 + 8 * q^35 - 8 * q^36 + 4 * q^37 + 24 * q^38 + 36 * q^42 - 8 * q^43 - 12 * q^45 - 8 * q^46 + 12 * q^47 - 32 * q^50 - 16 * q^51 - 28 * q^53 - 4 * q^56 + 8 * q^57 - 32 * q^58 + 8 * q^60 - 12 * q^61 - 36 * q^63 - 8 * q^65 + 32 * q^67 - 36 * q^68 - 12 * q^70 + 16 * q^71 - 8 * q^72 - 12 * q^73 - 48 * q^75 + 16 * q^77 + 16 * q^78 - 12 * q^80 - 48 * q^82 + 24 * q^85 + 12 * q^86 - 24 * q^87 - 4 * q^88 - 16 * q^91 + 8 * q^92 + 28 * q^93 + 20 * q^95 + 12 * q^96 + 40 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/70\mathbb{Z}\right)^\times$.

$n$	$31$	$57$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.258819	+	0.965926i	0.183013	+	0.683013i
$2$	0.258819	+	0.965926i	0.183013	+	0.683013i
$3$	1.95290	+	0.523277i	1.12751	+	0.302114i	0.773917	−	0.633287i	$-0.218295\pi$
$3$	1.95290	+	0.523277i	1.12751	+	0.302114i	0.353588	+	0.935401i	$0.384961\pi$
$4$	−0.866025	+	0.500000i	−0.433013	+	0.250000i
$5$	−1.82591	−	1.29076i	−0.816571	−	0.577245i
$5$	−1.82591	−	1.29076i	−0.816571	−	0.577245i
$6$			2.02179i			0.825391i
$7$	−1.90155	−	1.83959i	−0.718719	−	0.695300i
$7$	−1.90155	−	1.83959i	−0.718719	−	0.695300i
$8$	−0.707107	−	0.707107i	−0.250000	−	0.250000i
$9$	0.941911	+	0.543813i	0.313970	+	0.181271i
$10$	0.774197	−	2.09777i	0.244822	−	0.663372i
$11$	2.01999	+	3.49872i	0.609049	+	1.05490i	0.991397	+	0.130886i	$0.0417820\pi$
$11$	2.01999	+	3.49872i	0.609049	+	1.05490i	−0.382349	+	0.924018i	$0.624885\pi$
$12$	−1.95290	+	0.523277i	−0.563753	+	0.151057i
$13$	−0.204875	+	0.204875i	−0.0568221	+	0.0568221i	−0.734947	−	0.678125i	$-0.762793\pi$
$13$	−0.204875	+	0.204875i	−0.0568221	+	0.0568221i	0.678125	+	0.734947i	$0.262793\pi$
$14$	1.28475	−	2.31288i	0.343364	−	0.618143i
$15$	−2.89039	−	3.47617i	−0.746295	−	0.897544i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	−0.527924	+	1.97024i	−0.128040	+	0.477853i	−0.999930	−	0.0118498i	$-0.996228\pi$
$17$	−0.527924	+	1.97024i	−0.128040	+	0.477853i	0.871890	+	0.489703i	$0.162895\pi$
$18$	−0.281498	+	1.05057i	−0.0663498	+	0.247621i
$19$	3.10166	−	5.37224i	0.711571	−	1.23248i	−0.252697	−	0.967545i	$-0.581318\pi$
$19$	3.10166	−	5.37224i	0.711571	−	1.23248i	0.964267	−	0.264931i	$-0.0853491\pi$
$20$	2.22666	+	0.204875i	0.497897	+	0.0458114i
$21$	−2.75092	−	4.58757i	−0.600300	−	1.00109i
$22$	−2.85669	+	2.85669i	−0.609049	+	0.609049i
$23$	−4.38350	+	1.17456i	−0.914023	+	0.244912i	−0.685029	−	0.728516i	$-0.740210\pi$
$23$	−4.38350	+	1.17456i	−0.914023	+	0.244912i	−0.228994	+	0.973428i	$0.573544\pi$
$24$	−1.01089	−	1.75092i	−0.206348	−	0.357405i
$25$	1.66789	+	4.71361i	0.333577	+	0.942723i
$26$	−0.250919	−	0.144868i	−0.0492094	−	0.0284110i
$27$	−2.73397	−	2.73397i	−0.526152	−	0.526152i
$28$	2.56659	+	0.642357i	0.485040	+	0.121394i
$29$			7.15869i			1.32934i	0.747139	+	0.664668i	$0.231427\pi$
$29$			7.15869i			1.32934i	−0.747139	+	0.664668i	$0.768573\pi$
$30$	2.60964	−	3.69160i	0.476453	−	0.673991i
$31$	6.33287	−	3.65628i	1.13742	−	0.656688i	0.191627	−	0.981468i	$-0.438624\pi$
$31$	6.33287	−	3.65628i	1.13742	−	0.656688i	0.945790	+	0.324780i	$0.105290\pi$
$32$	0.965926	+	0.258819i	0.170753	+	0.0457532i
$33$	2.11403	+	7.88965i	0.368005	+	1.37341i
$34$	−2.03974			−0.349813
$35$	1.09759	+	5.81337i	0.185527	+	0.982639i
$36$	−1.08763			−0.181271
$37$	1.19723	+	4.46814i	0.196824	+	0.734558i	0.991787	+	0.127900i	$0.0408236\pi$
$37$	1.19723	+	4.46814i	0.196824	+	0.734558i	−0.794963	+	0.606658i	$0.792510\pi$
$38$	5.99195	+	1.60554i	0.972023	+	0.260453i
$39$	−0.507306	+	0.292893i	−0.0812340	+	0.0469005i
$40$	0.378409	+	2.20382i	0.0598317	+	0.348454i
$41$			2.58745i			0.404093i	0.979376	+	0.202046i	$0.0647591\pi$
$41$			2.58745i			0.404093i	−0.979376	+	0.202046i	$0.935241\pi$
$42$	3.71926	−	3.84454i	0.573895	−	0.593225i
$43$	−4.97801	−	4.97801i	−0.759140	−	0.759140i	0.217026	−	0.976166i	$-0.430364\pi$
$43$	−4.97801	−	4.97801i	−0.759140	−	0.759140i	−0.976166	+	0.217026i	$0.930364\pi$
$44$	−3.49872	−	2.01999i	−0.527452	−	0.304524i
$45$	−1.01791	−	2.20873i	−0.151742	−	0.329258i
$46$	−2.26907	−	3.93014i	−0.334556	−	0.579468i
$47$	−0.304388	+	0.0815604i	−0.0443995	+	0.0118968i	−0.280950	−	0.959722i	$-0.590650\pi$
$47$	−0.304388	+	0.0815604i	−0.0443995	+	0.0118968i	0.236551	+	0.971619i	$0.423983\pi$
$48$	1.42962	−	1.42962i	0.206348	−	0.206348i
$49$	0.231803	+	6.99616i	0.0331148	+	0.999452i
$50$	−4.12132	+	2.83103i	−0.582843	+	0.400368i
$51$	−2.06196	+	3.57142i	−0.288732	+	0.500099i
$52$	0.0749894	−	0.279864i	0.0103992	−	0.0388102i
$53$	2.14370	−	8.00039i	0.294460	−	1.09894i	−0.647186	−	0.762332i	$-0.724054\pi$
$53$	2.14370	−	8.00039i	0.294460	−	1.09894i	0.941646	−	0.336606i	$-0.109279\pi$
$54$	1.93321	−	3.34841i	0.263076	−	0.455661i
$55$	0.827689	−	8.99566i	0.111606	−	1.21297i
$56$	0.0438127	+	2.64539i	0.00585472	+	0.353505i
$57$	8.86840	−	8.86840i	1.17465	−	1.17465i
$58$	−6.91477	+	1.85281i	−0.907953	+	0.243285i
$59$	−0.427702	−	0.740802i	−0.0556821	−	0.0964442i	0.836841	−	0.547446i	$-0.184400\pi$
$59$	−0.427702	−	0.740802i	−0.0556821	−	0.0964442i	−0.892523	+	0.451002i	$0.851067\pi$
$60$	4.24124	+	1.56526i	0.547541	+	0.202074i
$61$	−5.99356	−	3.46038i	−0.767397	−	0.443057i	0.0645484	−	0.997915i	$-0.479439\pi$
$61$	−5.99356	−	3.46038i	−0.767397	−	0.443057i	−0.831945	+	0.554858i	$0.812773\pi$
$62$	5.17076	+	5.17076i	0.656688	+	0.656688i
$63$	−0.790700	−	2.76682i	−0.0996189	−	0.348587i
$64$			1.00000i			0.125000i
$65$	0.638527	−	0.109639i	0.0791995	−	0.0135990i
$66$	−7.07367	+	4.08398i	−0.870708	+	0.502704i
$67$	3.05106	+	0.817530i	0.372747	+	0.0998772i	0.440329	−	0.897837i	$-0.354862\pi$
$67$	3.05106	+	0.817530i	0.372747	+	0.0998772i	−0.0675822	+	0.997714i	$0.521528\pi$
$68$	−0.527924	−	1.97024i	−0.0640201	−	0.238926i
$69$	−9.17514			−1.10456
$70$	−5.33121	+	2.56480i	−0.637201	+	0.306553i
$71$	7.12240			0.845273			0.422637	−	0.906299i	$-0.361105\pi$
$71$	7.12240			0.845273			0.422637	+	0.906299i	$0.361105\pi$
$72$	−0.281498	−	1.05057i	−0.0331749	−	0.123810i
$73$	−11.1331	−	2.98311i	−1.30303	−	0.349147i	−0.460438	−	0.887692i	$-0.652307\pi$
$73$	−11.1331	−	2.98311i	−1.30303	−	0.349147i	−0.842597	+	0.538545i	$0.818974\pi$
$74$	−4.00603	+	2.31288i	−0.465691	+	0.268867i
$75$	0.790684	+	10.0780i	0.0913004	+	1.16370i
$76$			6.20333i			0.711571i
$77$	2.59511	−	10.3690i	0.295740	−	1.18165i
$78$	−0.414214	−	0.414214i	−0.0469005	−	0.0469005i
$79$	4.39618	+	2.53813i	0.494609	+	0.285562i	0.726484	−	0.687183i	$-0.241153\pi$
$79$	4.39618	+	2.53813i	0.494609	+	0.285562i	−0.231876	+	0.972745i	$0.574486\pi$
$80$	−2.03078	+	0.935904i	−0.227049	+	0.104637i
$81$	−5.53997	−	9.59552i	−0.615553	−	1.06617i
$82$	−2.49929	+	0.669683i	−0.276000	+	0.0739541i
$83$	3.85372	−	3.85372i	0.423001	−	0.423001i	−0.463235	−	0.886236i	$-0.653311\pi$
$83$	3.85372	−	3.85372i	0.423001	−	0.423001i	0.886236	+	0.463235i	$0.153311\pi$
$84$	4.67615	+	2.59749i	0.510210	+	0.283410i
$85$	3.50704	−	2.91605i	0.380392	−	0.316290i
$86$	3.51999	−	6.09680i	0.379570	−	0.657434i
$87$	−3.74598	+	13.9802i	−0.401611	+	1.49883i
$88$	1.04562	−	3.90231i	0.111464	−	0.415988i
$89$	1.53615	−	2.66069i	0.162832	−	0.282033i	−0.773051	−	0.634343i	$-0.781271\pi$
$89$	1.53615	−	2.66069i	0.162832	−	0.282033i	0.935883	+	0.352310i	$0.114604\pi$
$90$	1.87002	−	1.55489i	0.197117	−	0.163900i
$91$	0.766467	−	0.0126942i	0.0803475	−	0.00133071i
$92$	3.20895	−	3.20895i	0.334556	−	0.334556i
$93$	14.2807	−	3.82650i	1.48084	−	0.396789i
$94$	−0.157563	−	0.272906i	−0.0162513	−	0.0281481i
$95$	−12.5976	+	5.80572i	−1.29249	+	0.595655i
$96$	1.75092	+	1.01089i	0.178702	+	0.103174i
$97$	6.63103	+	6.63103i	0.673279	+	0.673279i	0.958471	−	0.285191i	$-0.0920572\pi$
$97$	6.63103	+	6.63103i	0.673279	+	0.673279i	−0.285191	+	0.958471i	$0.592057\pi$
$98$	−6.69778	+	2.03464i	−0.676578	+	0.205530i
$99$			4.39398i			0.441611i
$100$	−3.80124	−	3.24817i	−0.380124	−	0.324817i
$101$	−8.56364	+	4.94422i	−0.852114	+	0.491968i	−0.861364	−	0.507989i	$-0.830389\pi$
$101$	−8.56364	+	4.94422i	−0.852114	+	0.491968i	0.00924966	+	0.999957i	$0.497056\pi$
$102$	−3.98340	−	1.06735i	−0.394416	−	0.105683i
$103$	1.10827	+	4.13612i	0.109201	+	0.407544i	0.998788	−	0.0492221i	$-0.0156742\pi$
$103$	1.10827	+	4.13612i	0.109201	+	0.407544i	−0.889587	+	0.456766i	$0.849008\pi$
$104$	0.289737			0.0284110
$105$	−0.898518	+	11.9273i	−0.0876864	+	1.16398i
$106$	8.28261			0.804479
$107$	−3.84918	−	14.3653i	−0.372114	−	1.38875i	−0.857516	−	0.514457i	$-0.827993\pi$
$107$	−3.84918	−	14.3653i	−0.372114	−	1.38875i	0.485402	−	0.874291i	$-0.338673\pi$
$108$	3.73467	+	1.00070i	0.359369	+	0.0962926i
$109$	11.4586	−	6.61564i	1.09754	−	0.633664i	0.161964	−	0.986797i	$-0.448217\pi$
$109$	11.4586	−	6.61564i	1.09754	−	0.633664i	0.935573	+	0.353133i	$0.114884\pi$
$110$	8.90336	−	1.52876i	0.848902	−	0.145762i
$111$			9.35230i			0.887681i
$112$	−2.54391	+	0.726997i	−0.240377	+	0.0686947i
$113$	9.75336	+	9.75336i	0.917519	+	0.917519i	0.996848	−	0.0793296i	$-0.0252780\pi$
$113$	9.75336	+	9.75336i	0.917519	+	0.917519i	−0.0793296	+	0.996848i	$0.525278\pi$
$114$	10.8615	+	6.27091i	1.01728	+	0.587324i
$115$	9.51994	+	3.51341i	0.887739	+	0.327627i
$116$	−3.57935	−	6.19961i	−0.332334	−	0.575619i
$117$	−0.304388	+	0.0815604i	−0.0281406	+	0.00754026i
$118$	0.604862	−	0.604862i	0.0556821	−	0.0556821i
$119$	4.62831	−	2.77535i	0.424276	−	0.254416i
$120$	−0.414214	+	4.50184i	−0.0378124	+	0.410960i
$121$	−2.66069	+	4.60846i	−0.241881	+	0.418951i
$122$	1.79123	−	6.68495i	0.162170	−	0.605227i
$123$	−1.35396	+	5.05303i	−0.122082	+	0.455617i
$124$	−3.65628	+	6.33287i	−0.328344	+	0.568708i
$125$	3.03873	−	10.7595i	0.271792	−	0.962356i
$126$	2.46790	−	1.47986i	0.219858	−	0.131837i
$127$	−2.19984	+	2.19984i	−0.195204	+	0.195204i	−0.797940	−	0.602736i	$-0.794077\pi$
$127$	−2.19984	+	2.19984i	−0.195204	+	0.195204i	0.602736	+	0.797940i	$0.294077\pi$
$128$	−0.965926	+	0.258819i	−0.0853766	+	0.0228766i
$129$	−7.11667	−	12.3264i	−0.626587	−	1.08528i
$130$	0.271166	+	0.588393i	0.0237828	+	0.0516055i
$131$	−6.32091	−	3.64938i	−0.552260	−	0.318848i	0.197773	−	0.980248i	$-0.436629\pi$
$131$	−6.32091	−	3.64938i	−0.552260	−	0.318848i	−0.750033	+	0.661400i	$0.769963\pi$
$132$	−5.77563	−	5.77563i	−0.502704	−	0.502704i
$133$	−15.7807	+	4.50980i	−1.36836	+	0.391049i
$134$			3.15869i			0.272870i
$135$	1.46309	+	8.52087i	0.125922	+	0.733360i
$136$	1.76647	−	1.01987i	0.151473	−	0.0874531i
$137$	−6.93431	−	1.85804i	−0.592438	−	0.158743i	−0.0498710	−	0.998756i	$-0.515881\pi$
$137$	−6.93431	−	1.85804i	−0.592438	−	0.158743i	−0.542567	+	0.840012i	$0.682548\pi$
$138$	−2.37470	−	8.86251i	−0.202148	−	0.754427i
$139$	−12.4172			−1.05321			−0.526605	−	0.850110i	$-0.676535\pi$
$139$	−12.4172			−1.05321			−0.526605	+	0.850110i	$0.676535\pi$
$140$	−3.85723	−	4.48573i	−0.325995	−	0.379113i
$141$	−0.637116			−0.0536549
$142$	1.84341	+	6.87971i	0.154696	+	0.577332i
$143$	−1.13064	−	0.302955i	−0.0945492	−	0.0253344i
$144$	0.941911	−	0.543813i	0.0784926	−	0.0453177i
$145$	9.24014	−	13.0711i	0.767352	−	1.08550i
$146$		−	11.5259i		−	0.953887i
$147$	−3.20824	+	13.7841i	−0.264611	+	1.13689i
$148$	−3.27091	−	3.27091i	−0.268867	−	0.268867i
$149$	−20.7399	−	11.9742i	−1.69908	−	0.980963i	−0.946637	−	0.322302i	$-0.895543\pi$
$149$	−20.7399	−	11.9742i	−1.69908	−	0.980963i	−0.752440	−	0.658661i	$-0.771123\pi$
$150$	−9.52993	+	3.37211i	−0.778115	+	0.275332i
$151$	1.77167	+	3.06862i	0.144176	+	0.249721i	0.929065	−	0.369916i	$-0.120613\pi$
$151$	1.77167	+	3.06862i	0.144176	+	0.249721i	−0.784889	+	0.619636i	$0.787280\pi$
$152$	−5.99195	+	1.60554i	−0.486012	+	0.130226i
$153$	−1.56870	+	1.56870i	−0.126822	+	0.126822i
$154$	10.6873	−	0.177002i	0.861207	−	0.0142632i
$155$	−16.2826	−	1.49816i	−1.30785	−	0.120335i
$156$	0.292893	−	0.507306i	0.0234502	−	0.0406170i
$157$	−1.58462	+	5.91389i	−0.126467	+	0.471980i	−0.999888	−	0.0149859i	$-0.995230\pi$
$157$	−1.58462	+	5.91389i	−0.126467	+	0.471980i	0.873421	+	0.486966i	$0.161896\pi$
$158$	−1.31384	+	4.90330i	−0.104523	+	0.390086i
$159$	8.37284	−	14.5022i	0.664010	−	1.15010i
$160$	−1.42962	−	1.71936i	−0.113021	−	0.135927i
$161$	10.4962	+	5.83037i	0.827213	+	0.459498i
$162$	7.83471	−	7.83471i	0.615553	−	0.615553i
$163$	15.9937	−	4.28549i	1.25272	−	0.335666i	0.429334	−	0.903146i	$-0.358748\pi$
$163$	15.9937	−	4.28549i	1.25272	−	0.335666i	0.823387	+	0.567480i	$0.192082\pi$
$164$	−1.29373	−	2.24080i	−0.101023	−	0.174977i
$165$	6.32361	−	17.1345i	0.492293	−	1.33392i
$166$	4.71983	+	2.72499i	0.366329	+	0.211500i
$167$	10.2873	+	10.2873i	0.796056	+	0.796056i	0.982471	−	0.186415i	$-0.0596869\pi$
$167$	10.2873	+	10.2873i	0.796056	+	0.796056i	−0.186415	+	0.982471i	$0.559687\pi$
$168$	−1.29871	+	5.18910i	−0.100198	+	0.400348i
$169$			12.9161i			0.993543i
$170$	3.72438	+	2.63281i	0.285647	+	0.201927i
$171$	5.84298	−	3.37345i	0.446824	−	0.257974i
$172$	6.80009	+	1.82208i	0.518502	+	0.138932i
$173$	2.01155	+	7.50720i	0.152935	+	0.570762i	0.999273	+	0.0381159i	$0.0121356\pi$
$173$	2.01155	+	7.50720i	0.152935	+	0.570762i	−0.846338	+	0.532646i	$0.821198\pi$
$174$	−14.4734			−1.09722
$175$	5.49955	−	12.0314i	0.415727	−	0.909489i
$176$	4.03997			0.304524
$177$	−0.447613	−	1.67052i	−0.0336447	−	0.125564i
$178$	2.96762	+	0.795171i	0.222432	+	0.0596006i
$179$	−3.34695	+	1.93236i	−0.250163	+	0.144431i	−0.619839	−	0.784729i	$-0.712802\pi$
$179$	−3.34695	+	1.93236i	−0.250163	+	0.144431i	0.369676	+	0.929161i	$0.379469\pi$
$180$	1.98590	+	1.40386i	0.148021	+	0.104638i
$181$		−	6.99107i		−	0.519642i	−0.965657	−	0.259821i	$-0.916336\pi$
$181$		−	6.99107i		−	0.519642i	0.965657	−	0.259821i	$-0.0836636\pi$
$182$	0.210638	+	0.737064i	0.0156135	+	0.0546348i
$183$	−9.89407	−	9.89407i	−0.731390	−	0.731390i
$184$	3.93014	+	2.26907i	0.289734	+	0.167278i
$185$	3.58125	−	9.70376i	0.263299	−	0.713435i
$186$	7.39223	+	12.8037i	0.542024	+	0.938814i
$187$	−7.95971	+	2.13280i	−0.582071	+	0.155966i
$188$	0.222827	−	0.222827i	0.0162513	−	0.0162513i
$189$	0.169398	+	10.2282i	0.0123219	+	0.743990i
$190$	−8.86840	−	10.6657i	−0.643381	−	0.773774i
$191$	−2.23721	+	3.87496i	−0.161879	+	0.280383i	−0.935543	−	0.353214i	$-0.885089\pi$
$191$	−2.23721	+	3.87496i	−0.161879	+	0.280383i	0.773664	+	0.633597i	$0.218422\pi$
$192$	−0.523277	+	1.95290i	−0.0377643	+	0.140938i
$193$	−5.19573	+	19.3907i	−0.373997	+	1.39577i	0.480809	+	0.876825i	$0.340343\pi$
$193$	−5.19573	+	19.3907i	−0.373997	+	1.39577i	−0.854805	+	0.518949i	$0.826324\pi$
$194$	−4.68885	+	8.12132i	−0.336640	+	0.583077i
$195$	1.30435	+	0.120013i	0.0934064	+	0.00859431i
$196$	−3.69883	−	5.94295i	−0.264202	−	0.424497i
$197$	−7.84901	+	7.84901i	−0.559219	+	0.559219i	−0.929085	−	0.369866i	$-0.879404\pi$
$197$	−7.84901	+	7.84901i	−0.559219	+	0.559219i	0.369866	+	0.929085i	$0.379404\pi$
$198$	−4.24426	+	1.13725i	−0.301626	+	0.0808205i
$199$	5.40103	+	9.35485i	0.382869	+	0.663148i	0.991471	−	0.130327i	$-0.0416028\pi$
$199$	5.40103	+	9.35485i	0.382869	+	0.663148i	−0.608602	+	0.793475i	$0.708270\pi$
$200$	2.15365	−	4.51240i	0.152286	−	0.319075i
$201$	5.53062	+	3.19310i	0.390100	+	0.225224i
$202$	−6.99218	−	6.99218i	−0.491968	−	0.491968i
$203$	13.1691	−	13.6126i	0.924288	−	0.955419i
$204$		−	4.12392i		−	0.288732i
$205$	3.33978	−	4.72446i	0.233260	−	0.329970i
$206$	−3.70835	+	2.14101i	−0.258373	+	0.149172i
$207$	−4.76761	−	1.27748i	−0.331372	−	0.0887908i
$208$	0.0749894	+	0.279864i	0.00519958	+	0.0194051i
$209$	25.0613			1.73353
$210$	−11.7534	+	2.21910i	−0.811062	+	0.153132i
$211$	7.56555			0.520834			0.260417	−	0.965496i	$-0.416140\pi$
$211$	7.56555			0.520834			0.260417	+	0.965496i	$0.416140\pi$
$212$	2.14370	+	8.00039i	0.147230	+	0.549469i
$213$	13.9093	+	3.72699i	0.953050	+	0.255369i
$214$	12.8796	−	7.43604i	0.880431	−	0.508317i
$215$	2.66399	+	15.5148i	0.181682	+	1.05810i
$216$			3.86642i			0.263076i
$217$	−18.7683	−	4.69728i	−1.27408	−	0.318872i
$218$	9.35593	+	9.35593i	0.633664	+	0.633664i
$219$	−20.1809	−	11.6514i	−1.36370	−	0.787330i
$220$	3.78103	+	8.20431i	0.254917	+	0.553135i
$221$	−0.295494	−	0.511811i	−0.0198771	−	0.0344281i
$222$	−9.03363	+	2.42055i	−0.606298	+	0.162457i
$223$	−9.35230	+	9.35230i	−0.626277	+	0.626277i	−0.947129	−	0.320853i	$-0.896031\pi$
$223$	−9.35230	+	9.35230i	−0.626277	+	0.626277i	0.320853	+	0.947129i	$0.396031\pi$
$224$	−1.36064	−	2.26907i	−0.0909114	−	0.151608i
$225$	−0.992322	+	5.34682i	−0.0661548	+	0.356455i
$226$	−6.89667	+	11.9454i	−0.458759	+	0.794595i
$227$	4.19127	−	15.6420i	0.278184	−	1.03820i	−0.675493	−	0.737367i	$-0.736069\pi$
$227$	4.19127	−	15.6420i	0.278184	−	1.03820i	0.953677	−	0.300832i	$-0.0972643\pi$
$228$	−3.24606	+	12.1145i	−0.214976	+	0.802300i
$229$	−5.88820	+	10.1987i	−0.389103	+	0.673947i	−0.992329	−	0.123624i	$-0.960548\pi$
$229$	−5.88820	+	10.1987i	−0.389103	+	0.673947i	0.603226	+	0.797570i	$0.293882\pi$
$230$	−0.929750	+	10.1049i	−0.0613059	+	0.666297i
$231$	10.4938	−	18.8915i	0.690442	−	1.24297i
$232$	5.06196	−	5.06196i	0.332334	−	0.332334i
$233$	5.52920	−	1.48154i	0.362230	−	0.0970591i	−0.0731138	−	0.997324i	$-0.523294\pi$
$233$	5.52920	−	1.48154i	0.362230	−	0.0970591i	0.435343	+	0.900264i	$0.356627\pi$
$234$	−0.157563	−	0.272906i	−0.0103002	−	0.0178405i
$235$	0.661059	+	0.243969i	0.0431227	+	0.0159148i
$236$	0.740802	+	0.427702i	0.0482221	+	0.0278410i
$237$	7.25713	+	7.25713i	0.471402	+	0.471402i
$238$	3.87867	+	3.75229i	0.251417	+	0.243225i
$239$		−	8.33794i		−	0.539337i	−0.962953	−	0.269668i	$-0.913086\pi$
$239$		−	8.33794i		−	0.539337i	0.962953	−	0.269668i	$-0.0869141\pi$
$240$	−4.45565	+	0.765062i	−0.287611	+	0.0493845i
$241$	2.56723	−	1.48219i	0.165370	−	0.0954763i	−0.415031	−	0.909807i	$-0.636229\pi$
$241$	2.56723	−	1.48219i	0.165370	−	0.0954763i	0.580401	+	0.814331i	$0.302896\pi$
$242$	−5.14006	−	1.37728i	−0.330416	−	0.0885347i
$243$	−2.79578	−	10.4340i	−0.179349	−	0.669340i
$244$	6.92077			0.443057
$245$	8.60710	−	13.0736i	0.549887	−	0.835239i
$246$	−5.23128			−0.333535
$247$	0.465184	+	1.73609i	0.0295989	+	0.110465i
$248$	−7.06340	−	1.89263i	−0.448526	−	0.120182i
$249$	9.54248	−	5.50936i	0.604730	−	0.349141i
$250$	11.1793	+	0.150429i	0.707043	+	0.00951396i
$251$			16.1800i			1.02127i	0.859796	+	0.510637i	$0.170590\pi$
$251$			16.1800i			1.02127i	−0.859796	+	0.510637i	$0.829410\pi$
$252$	2.06818	+	2.00079i	0.130283	+	0.126038i
$253$	−12.9641	−	12.9641i	−0.815043	−	0.815043i
$254$	−2.69424	−	1.55552i	−0.169052	−	0.0976020i
$255$	8.37479	−	3.85960i	0.524450	−	0.241697i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−5.62621	+	1.50754i	−0.350954	+	0.0940377i	−0.429989	−	0.902834i	$-0.641483\pi$
$257$	−5.62621	+	1.50754i	−0.350954	+	0.0940377i	0.0790355	+	0.996872i	$0.474816\pi$
$258$	10.0645	−	10.0645i	0.626587	−	0.626587i
$259$	5.94295	−	10.6988i	0.369277	−	0.664793i
$260$	−0.498161	+	0.414214i	−0.0308946	+	0.0256884i
$261$	−3.89299	+	6.74285i	−0.240970	+	0.417372i
$262$	1.88906	−	7.05006i	0.116706	−	0.435554i
$263$	0.449601	−	1.67793i	0.0277236	−	0.103466i	−0.950678	−	0.310180i	$-0.899611\pi$
$263$	0.449601	−	1.67793i	0.0277236	−	0.103466i	0.978401	+	0.206715i	$0.0662772\pi$
$264$	4.08398	−	7.07367i	0.251352	−	0.435354i
$265$	−14.2408	+	11.8410i	−0.874803	+	0.727386i
$266$	−8.44048	−	14.0758i	−0.517519	−	0.863041i
$267$	4.39223	−	4.39223i	0.268800	−	0.268800i
$268$	−3.05106	+	0.817530i	−0.186373	+	0.0499386i
$269$	1.89169	+	3.27650i	0.115338	+	0.199772i	0.917915	−	0.396777i	$-0.129872\pi$
$269$	1.89169	+	3.27650i	0.115338	+	0.199772i	−0.802577	+	0.596549i	$0.796538\pi$
$270$	−7.85185	+	3.61860i	−0.477849	+	0.220221i
$271$	−18.4029	−	10.6249i	−1.11789	−	0.645416i	−0.177032	−	0.984205i	$-0.556649\pi$
$271$	−18.4029	−	10.6249i	−1.11789	−	0.645416i	−0.940862	+	0.338789i	$0.889983\pi$
$272$	1.44231	+	1.44231i	0.0874531	+	0.0874531i
$273$	1.50347	+	0.376284i	0.0909943	+	0.0227737i
$274$		−	7.17893i		−	0.433695i
$275$	−13.1225	+	15.3569i	−0.791317	+	0.926056i
$276$	7.94591	−	4.58757i	0.478287	−	0.276139i
$277$	4.72353	+	1.26567i	0.283810	+	0.0760465i	0.397916	−	0.917422i	$-0.369734\pi$
$277$	4.72353	+	1.26567i	0.283810	+	0.0760465i	−0.114106	+	0.993469i	$0.536400\pi$
$278$	−3.21380	−	11.9941i	−0.192751	−	0.719356i
$279$	7.95333			0.476153
$280$	3.33456	−	4.88679i	0.199278	−	0.292042i
$281$	−29.4776			−1.75849			−0.879243	−	0.476373i	$-0.841951\pi$
$281$	−29.4776			−1.75849			−0.879243	+	0.476373i	$0.841951\pi$
$282$	−0.164898	−	0.615407i	−0.00981952	−	0.0366470i
$283$	−10.8991	−	2.92041i	−0.647886	−	0.173601i	−0.0801133	−	0.996786i	$-0.525528\pi$
$283$	−10.8991	−	2.92041i	−0.647886	−	0.173601i	−0.567773	+	0.823185i	$0.692195\pi$
$284$	−6.16818	+	3.56120i	−0.366014	+	0.211318i
$285$	−27.6399	+	4.74593i	−1.63724	+	0.281125i
$286$		−	1.17053i		−	0.0692148i
$287$	4.75986	−	4.92018i	0.280966	−	0.290429i
$288$	0.769067	+	0.769067i	0.0453177	+	0.0453177i
$289$	11.1193	+	6.41973i	0.654076	+	0.377631i
$290$	15.0173	+	5.54224i	0.881844	+	0.325451i
$291$	9.47985	+	16.4196i	0.555719	+	0.962533i
$292$	11.1331	−	2.98311i	0.651517	−	0.174573i
$293$	7.23407	−	7.23407i	0.422619	−	0.422619i	−0.463485	−	0.886105i	$-0.653401\pi$
$293$	7.23407	−	7.23407i	0.422619	−	0.422619i	0.886105	+	0.463485i	$0.153401\pi$
$294$	−14.1448	+	0.468657i	−0.824939	+	0.0273326i
$295$	−0.175251	+	1.90470i	−0.0102035	+	0.110896i
$296$	2.31288	−	4.00603i	0.134433	−	0.232846i
$297$	4.04281	−	15.0880i	0.234588	−	0.875493i
$298$	6.19829	−	23.1323i	0.359057	−	1.34002i
$299$	0.657432	−	1.13871i	0.0380203	−	0.0658531i
$300$	−5.72374	−	8.33243i	−0.330460	−	0.481073i
$301$	0.308440	+	18.6235i	0.0177782	+	1.07344i
$302$	−2.50552	+	2.50552i	−0.144176	+	0.144176i
$303$	−19.3111	+	5.17439i	−1.10939	+	0.297261i
$304$	−3.10166	−	5.37224i	−0.177893	−	0.308119i
$305$	6.47718	+	14.0546i	0.370882	+	0.804763i
$306$	−1.92125	−	1.10924i	−0.109831	−	0.0634108i
$307$	1.07859	+	1.07859i	0.0615584	+	0.0615584i	0.737216	−	0.675657i	$-0.236140\pi$
$307$	1.07859	+	1.07859i	0.0615584	+	0.0615584i	−0.675657	+	0.737216i	$0.736140\pi$
$308$	2.93705	+	10.2773i	0.167354	+	0.585605i
$309$			8.65735i			0.492500i
$310$	−2.76714	−	16.1156i	−0.157163	−	0.915302i
$311$	−8.33830	+	4.81412i	−0.472821	+	0.272984i	−0.717420	−	0.696641i	$-0.754677\pi$
$311$	−8.33830	+	4.81412i	−0.472821	+	0.272984i	0.244599	+	0.969624i	$0.421344\pi$
$312$	0.565826	+	0.151613i	0.0320336	+	0.00858338i
$313$	0.783378	+	2.92361i	0.0442791	+	0.165252i	0.984525	−	0.175244i	$-0.0560716\pi$
$313$	0.783378	+	2.92361i	0.0442791	+	0.165252i	−0.940246	+	0.340496i	$0.889405\pi$
$314$	−6.12251			−0.345513
$315$	−2.12755	+	6.07257i	−0.119874	+	0.342150i
$316$	−5.07627			−0.285562
$317$	0.504353	+	1.88227i	0.0283273	+	0.105719i	0.978642	−	0.205572i	$-0.0659054\pi$
$317$	0.504353	+	1.88227i	0.0283273	+	0.105719i	−0.950315	+	0.311291i	$0.899239\pi$
$318$	16.1751	+	4.33410i	0.907054	+	0.243044i
$319$	−25.0463	+	14.4605i	−1.40232	+	0.809631i
$320$	1.29076	−	1.82591i	0.0721556	−	0.102071i
$321$		−	30.0682i		−	1.67824i
$322$	−2.91510	+	11.6475i	−0.162452	+	0.649091i
$323$	8.94715	+	8.94715i	0.497833	+	0.497833i
$324$	9.59552	+	5.53997i	0.533084	+	0.307776i
$325$	−1.30741	−	0.623993i	−0.0725220	−	0.0346129i
$326$	8.27894	+	14.3395i	0.458528	+	0.794194i
$327$	25.8393	−	6.92363i	1.42892	−	0.382878i
$328$	1.82961	−	1.82961i	0.101023	−	0.101023i
$329$	0.728847	+	0.404858i	0.0401826	+	0.0223205i
$330$	18.1873	+	1.67341i	1.00118	+	0.0921183i
$331$	14.4468	−	25.0225i	0.794066	−	1.37536i	−0.129365	−	0.991597i	$-0.541294\pi$
$331$	14.4468	−	25.0225i	0.794066	−	1.37536i	0.923431	−	0.383765i	$-0.125373\pi$
$332$	−1.41056	+	5.26428i	−0.0774145	+	0.288915i
$333$	−1.30214	+	4.85966i	−0.0713570	+	0.266308i
$334$	−7.27423	+	12.5993i	−0.398028	+	0.689405i
$335$	−4.51573	−	5.43092i	−0.246721	−	0.296723i
$336$	−5.34841	+	0.0885800i	−0.291780	+	0.00483244i
$337$	−0.823226	+	0.823226i	−0.0448440	+	0.0448440i	−0.729173	−	0.684329i	$-0.760095\pi$
$337$	−0.823226	+	0.823226i	−0.0448440	+	0.0448440i	0.684329	+	0.729173i	$0.260095\pi$
$338$	−12.4759	+	3.34292i	−0.678602	+	0.181831i
$339$	13.9436	+	24.1510i	0.757312	+	1.31170i
$340$	−1.57916	+	4.27890i	−0.0856420	+	0.232056i
$341$	25.5846	+	14.7713i	1.38548	+	0.799910i
$342$	4.77078	+	4.77078i	0.257974	+	0.257974i
$343$	12.4293	−	13.7300i	0.671119	−	0.741350i
$344$			7.03997i			0.379570i
$345$	16.7530	+	11.8429i	0.901950	+	0.637600i
$346$	−6.73077	+	3.88601i	−0.361849	+	0.208913i
$347$	16.1350	+	4.32336i	0.866172	+	0.232090i	0.664432	−	0.747349i	$-0.268674\pi$
$347$	16.1350	+	4.32336i	0.866172	+	0.232090i	0.201740	+	0.979439i	$0.435340\pi$
$348$	−3.74598	−	13.9802i	−0.200806	−	0.749417i
$349$	−36.7146			−1.96529			−0.982644	−	0.185503i	$-0.940608\pi$
$349$	−36.7146			−1.96529			−0.982644	+	0.185503i	$0.940608\pi$
$350$	13.0448	+	2.19820i	0.697276	+	0.117499i
$351$	1.12024			0.0597942
$352$	1.04562	+	3.90231i	0.0557318	+	0.207994i
$353$	−13.7845	−	3.69356i	−0.733677	−	0.196588i	−0.127411	−	0.991850i	$-0.540667\pi$
$353$	−13.7845	−	3.69356i	−0.733677	−	0.196588i	−0.606266	+	0.795262i	$0.707333\pi$
$354$	1.49774	−	0.864723i	0.0796042	−	0.0459595i
$355$	−13.0048	−	9.19329i	−0.690226	−	0.487929i
$356$			3.07230i			0.162832i
$357$	10.4909	−	2.99808i	0.555236	−	0.158675i
$358$	−2.73277	−	2.73277i	−0.144431	−	0.144431i
$359$	23.4596	+	13.5444i	1.23815	+	0.714847i	0.968716	−	0.248172i	$-0.0798298\pi$
$359$	23.4596	+	13.5444i	1.23815	+	0.714847i	0.269435	+	0.963019i	$0.413163\pi$
$360$	−0.842036	+	2.28158i	−0.0443792	+	0.120250i
$361$	−9.74064	−	16.8713i	−0.512665	−	0.887962i
$362$	6.75285	−	1.80942i	0.354922	−	0.0951011i
$363$	−7.60756	+	7.60756i	−0.399293	+	0.399293i
$364$	−0.657432	+	0.394227i	−0.0344588	+	0.0206631i
$365$	16.4776	+	19.8171i	0.862477	+	1.03727i
$366$	6.99616	−	12.1177i	0.365695	−	0.633403i
$367$	5.86782	−	21.8990i	0.306298	−	1.14312i	−0.625525	−	0.780204i	$-0.715115\pi$
$367$	5.86782	−	21.8990i	0.306298	−	1.14312i	0.931823	−	0.362914i	$-0.118218\pi$
$368$	−1.17456	+	4.38350i	−0.0612279	+	0.228506i
$369$	−1.40709	+	2.43715i	−0.0732502	+	0.126873i
$370$	10.3000	+	0.947702i	0.535472	+	0.0492687i
$371$	−18.7938	+	11.2696i	−0.975726	+	0.585090i
$372$	−10.4542	+	10.4542i	−0.542024	+	0.542024i
$373$	12.3984	−	3.32215i	0.641966	−	0.172014i	0.0768720	−	0.997041i	$-0.475507\pi$
$373$	12.3984	−	3.32215i	0.641966	−	0.172014i	0.565094	+	0.825027i	$0.308840\pi$
$374$	−4.12025	−	7.13648i	−0.213053	−	0.369019i
$375$	11.5645	−	19.4220i	0.597188	−	1.00295i
$376$	0.272906	+	0.157563i	0.0140741	+	0.00812567i
$377$	−1.46664	−	1.46664i	−0.0755356	−	0.0755356i
$378$	−9.83581	+	2.81087i	−0.505900	+	0.144576i
$379$		−	14.4739i		−	0.743476i	−0.928338	−	0.371738i	$-0.878762\pi$
$379$		−	14.4739i		−	0.743476i	0.928338	−	0.371738i	$-0.121238\pi$
$380$	8.00700	−	11.3267i	0.410750	−	0.581048i
$381$	−5.44718	+	3.14493i	−0.279068	+	0.161120i
$382$	−4.32196	−	1.15807i	−0.221131	−	0.0592518i
$383$	0.453341	+	1.69189i	0.0231647	+	0.0864517i	0.976540	−	0.215334i	$-0.0690840\pi$
$383$	0.453341	+	1.69189i	0.0231647	+	0.0864517i	−0.953376	+	0.301786i	$0.902417\pi$
$384$	−2.02179			−0.103174
$385$	−18.1222	+	15.5831i	−0.923595	+	0.794189i
$386$	−20.0747			−1.02178
$387$	−1.98174	−	7.39595i	−0.100737	−	0.375957i
$388$	−9.05816	−	2.42713i	−0.459858	−	0.123219i
$389$	2.40954	−	1.39115i	0.122169	−	0.0705341i	−0.437670	−	0.899135i	$-0.644196\pi$
$389$	2.40954	−	1.39115i	0.122169	−	0.0705341i	0.559839	+	0.828601i	$0.310863\pi$
$390$	0.221667	+	1.29097i	0.0112245	+	0.0653706i
$391$		−	9.25661i		−	0.468127i
$392$	4.78312	−	5.11094i	0.241584	−	0.258142i
$393$	−10.4344	−	10.4344i	−0.526348	−	0.526348i
$394$	−9.61304	−	5.55009i	−0.484298	−	0.279610i
$395$	−4.75090	−	10.3088i	−0.239044	−	0.518692i
$396$	−2.19699	−	3.80530i	−0.110403	−	0.191223i
$397$	38.3163	−	10.2668i	1.92304	−	0.515277i	0.936828	−	0.349791i	$-0.113747\pi$
$397$	38.3163	−	10.2668i	1.92304	−	0.515277i	0.986212	−	0.165486i	$-0.0529193\pi$
$398$	−7.63821	+	7.63821i	−0.382869	+	0.382869i
$399$	−33.1780	+	0.549491i	−1.66098	+	0.0275089i
$400$	4.91605	+	0.912375i	0.245803	+	0.0456187i
$401$	9.98528	−	17.2950i	0.498641	−	0.863672i	−0.501358	−	0.865240i	$-0.667166\pi$
$401$	9.98528	−	17.2950i	0.498641	−	0.863672i	0.999999	+	0.00156835i	$0.000499221\pi$
$402$	−1.65287	+	6.16860i	−0.0824378	+	0.307662i
$403$	−0.548365	+	2.04653i	−0.0273160	+	0.101945i
$404$	4.94422	−	8.56364i	0.245984	−	0.426057i
$405$	−2.27000	+	24.6713i	−0.112797	+	1.22593i
$406$	16.5572	+	9.19714i	0.821720	+	0.456446i
$407$	−13.2144	+	13.2144i	−0.655012	+	0.655012i
$408$	3.98340	−	1.06735i	0.197208	−	0.0528417i
$409$	7.65280	+	13.2550i	0.378407	+	0.655419i	0.990831	−	0.135110i	$-0.0431388\pi$
$409$	7.65280	+	13.2550i	0.378407	+	0.655419i	−0.612424	+	0.790529i	$0.709805\pi$
$410$	5.42787	+	2.00320i	0.268064	+	0.0989309i
$411$	−12.5697	−	7.25713i	−0.620019	−	0.357968i
$412$	−3.02785	−	3.02785i	−0.149172	−	0.149172i
$413$	−0.549475	+	2.19547i	−0.0270379	+	0.108032i
$414$		−	4.93579i		−	0.242581i
$415$	−12.0108	+	2.06232i	−0.589585	+	0.101235i
$416$	−0.250919	+	0.144868i	−0.0123023	+	0.00710276i
$417$	−24.2495	−	6.49762i	−1.18750	−	0.318190i
$418$	6.48634	+	24.2073i	0.317257	+	1.18402i
$419$	27.7027			1.35337			0.676684	−	0.736274i	$-0.263416\pi$
$419$	27.7027			1.35337			0.676684	+	0.736274i	$0.263416\pi$
$420$	−5.18549	−	10.7786i	−0.253026	−	0.525940i
$421$	33.0159			1.60910			0.804549	−	0.593887i	$-0.202407\pi$
$421$	33.0159			1.60910			0.804549	+	0.593887i	$0.202407\pi$
$422$	1.95811	+	7.30776i	0.0953192	+	0.355736i
$423$	−0.331060	−	0.0887072i	−0.0160967	−	0.00431309i
$424$	−7.17295	+	4.14131i	−0.348349	+	0.201120i
$425$	−10.1675	+	0.797705i	−0.493194	+	0.0386944i
$426$			14.4000i			0.697681i
$427$	5.03138	+	17.6058i	0.243485	+	0.852005i
$428$	10.5161	+	10.5161i	0.508317	+	0.508317i
$429$	−2.04950	−	1.18328i	−0.0989509	−	0.0571293i
$430$	−14.2967	+	6.58874i	−0.689446	+	0.317737i
$431$	−11.9586	−	20.7129i	−0.576027	−	0.997708i	−0.995929	−	0.0901384i	$-0.971269\pi$
$431$	−11.9586	−	20.7129i	−0.576027	−	0.997708i	0.419902	−	0.907569i	$-0.362064\pi$
$432$	−3.73467	+	1.00070i	−0.179684	+	0.0481463i
$433$	13.2515	−	13.2515i	0.636829	−	0.636829i	−0.312943	−	0.949772i	$-0.601315\pi$
$433$	13.2515	−	13.2515i	0.636829	−	0.636829i	0.949772	+	0.312943i	$0.101315\pi$
$434$	−0.320383	−	19.3446i	−0.0153789	−	0.928569i
$435$	24.8849	−	20.6914i	1.19314	−	0.992077i
$436$	−6.61564	+	11.4586i	−0.316832	+	0.548769i
$437$	−7.28615	+	27.1923i	−0.348544	+	1.30078i
$438$	6.03122	−	22.5088i	0.288183	−	1.07551i
$439$	7.05383	−	12.2176i	0.336661	−	0.583114i	−0.647141	−	0.762370i	$-0.724036\pi$
$439$	7.05383	−	12.2176i	0.336661	−	0.583114i	0.983802	+	0.179256i	$0.0573690\pi$
$440$	−6.94616	+	5.77563i	−0.331145	+	0.275342i
$441$	−3.58626	+	6.71582i	−0.170774	+	0.319801i
$442$	0.417892	−	0.417892i	0.0198771	−	0.0198771i
$443$	−20.3457	+	5.45161i	−0.966652	+	0.259014i	−0.707414	−	0.706800i	$-0.750138\pi$
$443$	−20.3457	+	5.45161i	−0.966652	+	0.259014i	−0.259238	+	0.965813i	$0.583472\pi$
$444$	−4.67615	−	8.09933i	−0.221920	−	0.384377i
$445$	−6.23919	+	2.87538i	−0.295766	+	0.136306i
$446$	−11.4542	−	6.61308i	−0.542371	−	0.313138i
$447$	−34.2370	−	34.2370i	−1.61936	−	1.61936i
$448$	1.83959	−	1.90155i	0.0869125	−	0.0898399i
$449$		−	31.3247i		−	1.47831i	−0.673538	−	0.739153i	$-0.735226\pi$
$449$		−	31.3247i		−	1.47831i	0.673538	−	0.739153i	$-0.264774\pi$
$450$	−5.42147	+	0.425351i	−0.255570	+	0.0200512i
$451$	−9.05278	+	5.22662i	−0.426279	+	0.246112i
$452$	−13.3233	−	3.56998i	−0.626677	−	0.167918i
$453$	1.85415	+	6.91977i	0.0871154	+	0.325119i
$454$	16.1938			0.760014
$455$	−1.41588	−	0.966145i	−0.0663776	−	0.0452936i
$456$	−12.5418			−0.587324
$457$	−0.740622	−	2.76404i	−0.0346448	−	0.129296i	0.946438	−	0.322887i	$-0.104653\pi$
$457$	−0.740622	−	2.76404i	−0.0346448	−	0.129296i	−0.981082	+	0.193591i	$0.937987\pi$
$458$	−11.3751	−	3.04796i	−0.531525	−	0.142422i
$459$	6.82989	−	3.94324i	0.318792	−	0.184055i
$460$	−10.0012	+	1.71727i	−0.466309	+	0.0800681i
$461$		−	3.02674i		−	0.140969i	−0.997513	−	0.0704846i	$-0.977545\pi$
$461$		−	3.02674i		−	0.140969i	0.997513	−	0.0704846i	$-0.0224546\pi$
$462$	20.9638	+	5.24675i	0.975325	+	0.244101i
$463$	19.2889	+	19.2889i	0.896431	+	0.896431i	0.995118	−	0.0986876i	$-0.0314644\pi$
$463$	19.2889	+	19.2889i	0.896431	+	0.896431i	−0.0986876	+	0.995118i	$0.531464\pi$
$464$	6.19961	+	3.57935i	0.287810	+	0.166167i
$465$	−31.0143	−	11.4461i	−1.43825	−	0.530799i
$466$	2.86212	+	4.95734i	0.132585	+	0.229644i
$467$	−24.2727	+	6.50385i	−1.12321	+	0.300962i	−0.772180	−	0.635403i	$-0.780834\pi$
$467$	−24.2727	+	6.50385i	−1.12321	+	0.300962i	−0.351026	+	0.936366i	$0.614167\pi$
$468$	0.222827	−	0.222827i	0.0103002	−	0.0103002i
$469$	−4.29784	−	7.16729i	−0.198456	−	0.330955i
$470$	−0.0645612	+	0.701677i	−0.00297799	+	0.0323660i
$471$	−6.18921	+	10.7200i	−0.285184	+	0.493953i
$472$	−0.221395	+	0.826257i	−0.0101905	+	0.0380316i
$473$	7.36115	−	27.4722i	0.338466	−	1.26317i
$474$	−5.13157	+	8.88814i	−0.235701	+	0.408246i
$475$	30.4959	+	5.65976i	1.39925	+	0.259688i
$476$	−2.62056	+	4.71767i	−0.120113	+	0.216234i
$477$	6.36989	−	6.36989i	0.291657	−	0.291657i
$478$	8.05384	−	2.15802i	0.368374	−	0.0987055i
$479$	4.14346	+	7.17668i	0.189319	+	0.327911i	0.945024	−	0.327002i	$-0.106039\pi$
$479$	4.14346	+	7.17668i	0.189319	+	0.327911i	−0.755704	+	0.654913i	$0.772705\pi$
$480$	−1.89220	−	4.10581i	−0.0863667	−	0.187404i
$481$	−1.16069	−	0.670127i	−0.0529231	−	0.0305551i
$482$	2.09613	+	2.09613i	0.0954763	+	0.0954763i
$483$	17.4470	+	16.8785i	0.793867	+	0.767999i
$484$		−	5.32139i		−	0.241881i
$485$	−3.54860	−	20.6667i	−0.161134	−	0.938427i
$486$	9.35485	−	5.40103i	0.424345	−	0.244996i
$487$	−10.3144	−	2.76375i	−0.467392	−	0.125237i	0.0174340	−	0.999848i	$-0.494450\pi$
$487$	−10.3144	−	2.76375i	−0.467392	−	0.125237i	−0.484826	+	0.874611i	$0.661117\pi$
$488$	1.79123	+	6.68495i	0.0810850	+	0.302613i
$489$	33.4765			1.51386
$490$	14.8558	+	4.93014i	0.671115	+	0.222721i
$491$	25.7259			1.16100			0.580498	−	0.814262i	$-0.302858\pi$
$491$	25.7259			1.16100			0.580498	+	0.814262i	$0.302858\pi$
$492$	−1.35396	−	5.05303i	−0.0610411	−	0.227808i
$493$	−14.1043	−	3.77924i	−0.635227	−	0.170209i
$494$	−1.55654	+	0.898666i	−0.0700319	+	0.0404329i
$495$	5.67156	−	8.02300i	0.254918	−	0.360607i
$496$		−	7.31256i		−	0.328344i
$497$	−13.5436	−	13.1023i	−0.607514	−	0.587719i
$498$	7.79141	+	7.79141i	0.349141	+	0.349141i
$499$	12.6429	+	7.29940i	0.565975	+	0.326766i	0.755540	−	0.655102i	$-0.227374\pi$
$499$	12.6429	+	7.29940i	0.565975	+	0.326766i	−0.189565	+	0.981868i	$0.560708\pi$
$500$	2.74812	+	10.8373i	0.122900	+	0.484660i
$501$	14.7069	+	25.4732i	0.657058	+	1.13806i
$502$	−15.6287	+	4.18770i	−0.697543	+	0.186906i
$503$	−13.9891	+	13.9891i	−0.623744	+	0.623744i	−0.946487	−	0.322743i	$-0.895395\pi$
$503$	−13.9891	+	13.9891i	−0.623744	+	0.623744i	0.322743	+	0.946487i	$0.395395\pi$
$504$	−1.39733	+	2.51555i	−0.0622419	+	0.112051i
$505$	22.0182	+	2.02589i	0.979798	+	0.0901510i
$506$	9.16697	−	15.8777i	0.407522	−	0.705848i
$507$	−6.75868	+	25.2237i	−0.300163	+	1.12022i
$508$	0.805197	−	3.00504i	0.0357248	−	0.133327i
$509$	−1.42883	+	2.47481i	−0.0633319	+	0.109694i	−0.895953	−	0.444149i	$-0.853506\pi$
$509$	−1.42883	+	2.47481i	−0.0633319	+	0.109694i	0.832621	+	0.553843i	$0.186839\pi$
$510$	5.89564	+	7.09049i	0.261063	+	0.313972i
$511$	15.6825	+	26.1530i	0.693754	+	1.15694i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	−23.1674	+	6.20768i	−1.02287	+	0.274076i
$514$	−2.91234	−	5.04433i	−0.128458	−	0.222496i
$515$	3.31513	−	8.98269i	0.146082	−	0.395825i
$516$	12.3264	+	7.11667i	0.542641	+	0.313294i
$517$	−0.900216	−	0.900216i	−0.0395914	−	0.0395914i
$518$	11.8724	+	2.97139i	0.521644	+	0.130555i
$519$			15.7134i			0.689741i
$520$	−0.529033	−	0.373980i	−0.0231996	−	0.0164001i
$521$	24.7917	−	14.3135i	1.08614	−	0.627084i	0.153595	−	0.988134i	$-0.450915\pi$
$521$	24.7917	−	14.3135i	1.08614	−	0.627084i	0.932547	+	0.361049i	$0.117581\pi$
$522$	−7.52068	−	2.01516i	−0.329171	−	0.0882011i
$523$	8.17429	+	30.5069i	0.357437	+	1.33397i	0.877390	+	0.479777i	$0.159283\pi$
$523$	8.17429	+	30.5069i	0.357437	+	1.33397i	−0.519954	+	0.854195i	$0.674051\pi$
$524$	7.29876			0.318848
$525$	17.0358	−	20.6183i	0.743504	−	0.899857i
$526$	1.73712			0.0757422
$527$	3.86048	+	14.4075i	0.168165	+	0.627600i
$528$	7.88965	+	2.11403i	0.343353	+	0.0920012i
$529$	−2.08308	+	1.20267i	−0.0905687	+	0.0522899i
$530$	−15.1233	−	10.6909i	−0.656914	−	0.464381i
$531$		−	0.930359i		−	0.0403742i
$532$	11.4116	−	11.7960i	0.494755	−	0.511419i
$533$	−0.530105	−	0.530105i	−0.0229614	−	0.0229614i
$534$	5.37936	+	3.10577i	0.232788	+	0.134400i
$535$	−11.5139	+	31.1981i	−0.497790	+	1.34881i
$536$	−1.57935	−	2.73551i	−0.0682174	−	0.118156i
$537$	−7.54741	+	2.02232i	−0.325695	+	0.0872696i
$538$	−2.67525	+	2.67525i	−0.115338	+	0.115338i
$539$	−24.0094	+	14.9432i	−1.03416	+	0.643648i
$540$	−5.52750	−	6.64775i	−0.237866	−	0.286073i
$541$	−18.4994	+	32.0420i	−0.795353	+	1.37759i	0.127262	+	0.991869i	$0.459381\pi$
$541$	−18.4994	+	32.0420i	−0.795353	+	1.37759i	−0.922615	+	0.385722i	$0.873952\pi$
$542$	5.49985	−	20.5257i	0.236239	−	0.881655i
$543$	3.65827	−	13.6528i	0.156991	−	0.585899i
$544$	−1.01987	+	1.76647i	−0.0437266	+	0.0757366i
$545$	−29.4616	−	2.71076i	−1.26200	−	0.116116i
$546$	0.0256649	+	1.54963i	0.00109836	+	0.0663182i
$547$	−20.0765	+	20.0765i	−0.858409	+	0.858409i	−0.991151	−	0.132742i	$-0.957622\pi$
$547$	−20.0765	+	20.0765i	−0.858409	+	0.858409i	0.132742	+	0.991151i	$0.457622\pi$
$548$	6.93431	−	1.85804i	0.296219	−	0.0793717i
$549$	−3.76360	−	6.51875i	−0.160627	−	0.278213i
$550$	−18.2300	−	8.70071i	−0.777329	−	0.370999i
$551$	38.4582	+	22.2039i	1.63838	+	0.945916i
$552$	6.48781	+	6.48781i	0.276139	+	0.276139i
$553$	−3.69043	−	12.9136i	−0.156933	−	0.549141i
$554$			4.89016i			0.207763i
$555$	12.0716	−	17.0765i	0.512409	−	0.724855i
$556$	10.7536	−	6.20859i	0.456054	−	0.263303i
$557$	24.8367	+	6.65499i	1.05237	+	0.281981i	0.743229	−	0.669037i	$-0.233293\pi$
$557$	24.8367	+	6.65499i	1.05237	+	0.281981i	0.309137	+	0.951017i	$0.399960\pi$
$558$	2.05847	+	7.68233i	0.0871421	+	0.325219i
$559$	2.03974			0.0862718
$560$	5.58332	+	1.95614i	0.235939	+	0.0826621i
$561$	−16.6605			−0.703408
$562$	−7.62937	−	28.4732i	−0.321825	−	1.20107i
$563$	5.18407	+	1.38907i	0.218482	+	0.0585422i	0.366400	−	0.930458i	$-0.380590\pi$
$563$	5.18407	+	1.38907i	0.218482	+	0.0585422i	−0.147917	+	0.989000i	$0.547257\pi$
$564$	0.551759	−	0.318558i	0.0232332	−	0.0134137i
$565$	−5.21952	−	30.3980i	−0.219587	−	1.27885i
$566$		−	11.2836i		−	0.474286i
$567$	−7.11728	+	28.4377i	−0.298898	+	1.19427i
$568$	−5.03630	−	5.03630i	−0.211318	−	0.211318i
$569$	−22.0839	−	12.7502i	−0.925806	−	0.534514i	−0.0403234	−	0.999187i	$-0.512839\pi$
$569$	−22.0839	−	12.7502i	−0.925806	−	0.534514i	−0.885483	+	0.464672i	$0.846172\pi$
$570$	−11.7379	−	25.4697i	−0.491648	−	1.06681i
$571$	−7.95235	−	13.7739i	−0.332795	−	0.576419i	0.650263	−	0.759709i	$-0.274659\pi$
$571$	−7.95235	−	13.7739i	−0.332795	−	0.576419i	−0.983059	+	0.183290i	$0.941325\pi$
$572$	1.13064	−	0.302955i	0.0472746	−	0.0126672i
$573$	−6.39672	+	6.39672i	−0.267227	+	0.267227i
$574$	5.98447	+	3.32424i	0.249787	+	0.138751i
$575$	−12.8476	−	18.7031i	−0.535781	−	0.779973i
$576$	−0.543813	+	0.941911i	−0.0226589	+	0.0392463i
$577$	−5.96565	+	22.2641i	−0.248353	+	0.926867i	0.723315	+	0.690518i	$0.242617\pi$
$577$	−5.96565	+	22.2641i	−0.248353	+	0.926867i	−0.971668	+	0.236349i	$0.924049\pi$
$578$	−3.32310	+	12.4020i	−0.138223	+	0.515854i
$579$	−20.2934	+	35.1493i	−0.843366	+	1.46075i
$580$	−1.46664	+	15.9400i	−0.0608988	+	0.661872i
$581$	−14.4173	+	0.238779i	−0.598132	+	0.00990621i
$582$	−13.4065	+	13.4065i	−0.555719	+	0.555719i
$583$	32.3214	−	8.66048i	1.33861	−	0.358681i
$584$	5.76293	+	9.98169i	0.238472	+	0.413045i
$585$	0.661059	+	0.243969i	0.0273314	+	0.0100869i
$586$	8.85989	+	5.11526i	0.365999	+	0.211310i
$587$	−28.2277	−	28.2277i	−1.16508	−	1.16508i	−0.983348	−	0.181734i	$-0.941829\pi$
$587$	−28.2277	−	28.2277i	−1.16508	−	1.16508i	−0.181734	−	0.983348i	$-0.558171\pi$
$588$	−4.11362	−	13.5415i	−0.169643	−	0.558441i
$589$		−	45.3622i		−	1.86912i
$590$	−1.88515	+	0.323692i	−0.0776105	+	0.0133262i
$591$	−19.4355	+	11.2211i	−0.799471	+	0.461575i
$592$	4.46814	+	1.19723i	0.183639	+	0.0492060i
$593$	−9.16977	−	34.2220i	−0.376557	−	1.40533i	−0.851056	−	0.525075i	$-0.824037\pi$
$593$	−9.16977	−	34.2220i	−0.376557	−	1.40533i	0.474499	−	0.880256i	$-0.342629\pi$
$594$	15.6202			0.640905
$595$	−12.0332	−	0.906496i	−0.493312	−	0.0371627i
$596$	23.9483			0.980963
$597$	5.65247	+	21.0953i	0.231340	+	0.863373i
$598$	1.27006	+	0.340312i	0.0519367	+	0.0139164i
$599$	−14.5339	+	8.39115i	−0.593839	+	0.342853i	−0.766614	−	0.642108i	$-0.778060\pi$
$599$	−14.5339	+	8.39115i	−0.593839	+	0.342853i	0.172775	+	0.984961i	$0.444727\pi$
$600$	6.56710	−	7.68530i	0.268101	−	0.313751i
$601$		−	1.73528i		−	0.0707833i	−0.999374	−	0.0353917i	$-0.988732\pi$
$601$		−	1.73528i		−	0.0707833i	0.999374	−	0.0353917i	$-0.0112679\pi$
$602$	−17.9091	+	5.11804i	−0.729919	+	0.208596i
$603$	2.42925	+	2.42925i	0.0989266	+	0.0989266i
$604$	−3.06862	−	1.77167i	−0.124860	−	0.0720881i
$605$	10.8066	−	4.98031i	0.439350	−	0.202478i
$606$	−9.99616	−	17.3139i	−0.406066	−	0.703327i
$607$	38.0930	−	10.2070i	1.54615	−	0.414288i	0.617900	−	0.786257i	$-0.287984\pi$
$607$	38.0930	−	10.2070i	1.54615	−	0.414288i	0.928245	+	0.371968i	$0.121317\pi$
$608$	4.38642	−	4.38642i	0.177893	−	0.177893i
$609$	32.8410	−	19.6930i	1.33079	−	0.798000i
$610$	−11.8993	+	9.89407i	−0.481787	+	0.400599i
$611$	0.0456517	−	0.0790711i	0.00184687	−	0.00319887i
$612$	0.574183	−	2.14288i	0.0232100	−	0.0866208i
$613$	0.0885018	−	0.330293i	0.00357455	−	0.0133404i	−0.964116	−	0.265483i	$-0.914469\pi$
$613$	0.0885018	−	0.330293i	0.00357455	−	0.0133404i	0.967690	+	0.252143i	$0.0811352\pi$
$614$	−0.762678	+	1.32100i	−0.0307792	+	0.0533111i
$615$	8.99444	−	7.47875i	0.362691	−	0.301572i
$616$	−9.16697	+	5.49694i	−0.369348	+	0.221478i
$617$	11.1876	−	11.1876i	0.450397	−	0.450397i	−0.445089	−	0.895486i	$-0.646828\pi$
$617$	11.1876	−	11.1876i	0.450397	−	0.450397i	0.895486	+	0.445089i	$0.146828\pi$
$618$	−8.36236	+	2.24069i	−0.336383	+	0.0901337i
$619$	−18.2682	−	31.6414i	−0.734260	−	1.27178i	−0.955047	−	0.296454i	$-0.904196\pi$
$619$	−18.2682	−	31.6414i	−0.734260	−	1.27178i	0.220787	−	0.975322i	$-0.429138\pi$
$620$	14.8502	−	6.84386i	0.596400	−	0.274856i
$621$	15.1956	+	8.77316i	0.609777	+	0.352055i
$622$	−6.80819	−	6.80819i	−0.272984	−	0.272984i
$623$	−7.81566	+	2.23356i	−0.313128	+	0.0894855i
$624$			0.585786i			0.0234502i
$625$	−19.4363	+	15.7235i	−0.777452	+	0.628942i
$626$	−2.62123	+	1.51337i	−0.104766	+	0.0604864i
$627$	48.9421	+	13.1140i	1.95456	+	0.523723i
$628$	−1.58462	−	5.91389i	−0.0632333	−	0.235990i
$629$	−9.43535			−0.376212
$630$	−6.41630	−	0.483360i	−0.255631	−	0.0192575i
$631$	−35.8189			−1.42593			−0.712964	−	0.701201i	$-0.752648\pi$
$631$	−35.8189			−1.42593			−0.712964	+	0.701201i	$0.752648\pi$
$632$	−1.31384	−	4.90330i	−0.0522616	−	0.195043i
$633$	14.7747	+	3.95888i	0.587243	+	0.157351i
$634$	−1.68760	+	0.974335i	−0.0670231	+	0.0386958i
$635$	6.85616	−	1.17725i	0.272079	−	0.0467176i
$636$			16.7457i			0.664010i
$637$	−1.48083	−	1.38585i	−0.0586726	−	0.0549093i
$638$	−20.4502	−	20.4502i	−0.809631	−	0.809631i
$639$	6.70867	+	3.87325i	0.265391	+	0.153223i
$640$	2.09777	+	0.774197i	0.0829215	+	0.0306028i
$641$	7.16573	+	12.4114i	0.283029	+	0.490221i	0.972129	−	0.234445i	$-0.0753272\pi$
$641$	7.16573	+	12.4114i	0.283029	+	0.490221i	−0.689100	+	0.724666i	$0.741994\pi$
$642$	29.0436	−	7.78222i	1.14626	−	0.307140i
$643$	−7.65201	+	7.65201i	−0.301766	+	0.301766i	−0.841704	−	0.539939i	$-0.818447\pi$
$643$	−7.65201	+	7.65201i	−0.301766	+	0.301766i	0.539939	+	0.841704i	$0.318447\pi$
$644$	−12.0051	+	0.198828i	−0.473068	+	0.00783492i
$645$	−2.91605	+	31.6928i	−0.114819	+	1.24790i
$646$	−6.32659	+	10.9580i	−0.248916	+	0.431136i
$647$	8.37254	−	31.2468i	0.329159	−	1.22844i	−0.580906	−	0.813971i	$-0.697302\pi$
$647$	8.37254	−	31.2468i	0.329159	−	1.22844i	0.910065	−	0.414466i	$-0.136032\pi$
$648$	−2.86770	+	10.7024i	−0.112654	+	0.420430i
$649$	1.72791	−	2.99282i	0.0678262	−	0.117478i
$650$	0.264349	−	1.42436i	0.0103686	−	0.0558681i
$651$	−34.1947	−	18.9943i	−1.34019	−	0.744447i
$652$	−11.7082	+	11.7082i	−0.458528	+	0.458528i
$653$	0.494788	−	0.132578i	0.0193625	−	0.00518818i	−0.249125	−	0.968471i	$-0.580143\pi$
$653$	0.494788	−	0.132578i	0.0193625	−	0.00518818i	0.268487	+	0.963283i	$0.413476\pi$
$654$	13.3754	+	23.1669i	0.523020	+	0.905898i
$655$	6.83094	+	14.8222i	0.266907	+	0.579151i
$656$	2.24080	+	1.29373i	0.0874886	+	0.0505116i
$657$	−8.86417	−	8.86417i	−0.345824	−	0.345824i
$658$	−0.202423	+	0.808797i	−0.00789127	+	0.0315302i
$659$		−	19.5542i		−	0.761723i	−0.924632	−	0.380862i	$-0.875627\pi$
$659$		−	19.5542i		−	0.761723i	0.924632	−	0.380862i	$-0.124373\pi$
$660$	3.09083	+	18.0007i	0.120310	+	0.700676i
$661$	34.0324	−	19.6486i	1.32371	−	0.764242i	0.339388	−	0.940647i	$-0.389780\pi$
$661$	34.0324	−	19.6486i	1.32371	−	0.764242i	0.984318	+	0.176405i	$0.0564468\pi$
$662$	27.9090	+	7.47819i	1.08471	+	0.290648i
$663$	−0.309250	−	1.15414i	−0.0120103	−	0.0448230i
$664$	−5.44998			−0.211500
$665$	34.6352	+	12.1346i	1.34310	+	0.470559i
$666$	−5.03109			−0.194951
$667$	−8.40828	−	31.3801i	−0.325570	−	1.21504i
$668$	−14.0527	−	3.76542i	−0.543716	−	0.145688i
$669$	−23.1579	+	13.3702i	−0.895337	+	0.516923i
$670$	4.07711	−	5.76749i	0.157512	−	0.222817i
$671$		−	27.9597i		−	1.07937i
$672$	−1.46983	−	5.14324i	−0.0567000	−	0.198405i
$673$	18.4813	+	18.4813i	0.712401	+	0.712401i	0.967037	−	0.254636i	$-0.0819556\pi$
$673$	18.4813	+	18.4813i	0.712401	+	0.712401i	−0.254636	+	0.967037i	$0.581956\pi$
$674$	−1.00824	−	0.582108i	−0.0388360	−	0.0224220i
$675$	8.32692	−	17.4468i	0.320503	−	0.671528i
$676$	−6.45803	−	11.1856i	−0.248386	−	0.430217i
$677$	−39.7951	+	10.6631i	−1.52945	+	0.409815i	−0.922840	−	0.385183i	$-0.874138\pi$
$677$	−39.7951	+	10.6631i	−1.52945	+	0.409815i	−0.606611	+	0.794999i	$0.707472\pi$
$678$	−19.7192	+	19.7192i	−0.757312	+	0.757312i
$679$	−0.410862	−	24.8076i	−0.0157674	−	0.952030i
$680$	−4.54181	−	0.417892i	−0.174171	−	0.0160254i
$681$	16.3702	−	28.3541i	0.627309	−	1.08653i
$682$	−7.64618	+	28.5359i	−0.292787	+	1.09270i
$683$	−2.36248	+	8.81689i	−0.0903978	+	0.337369i	−0.996282	−	0.0861573i	$-0.972541\pi$
$683$	−2.36248	+	8.81689i	−0.0903978	+	0.337369i	0.905884	+	0.423526i	$0.139208\pi$
$684$	−3.37345	+	5.84298i	−0.128987	+	0.223412i
$685$	10.2631	+	12.3431i	0.392134	+	0.471607i
$686$	16.4791	+	8.45219i	0.629175	+	0.322706i
$687$	−16.8358	+	16.8358i	−0.642325	+	0.642325i
$688$	−6.80009	+	1.82208i	−0.259251	+	0.0694661i
$689$	1.19989	+	2.07827i	0.0457121	+	0.0791758i
$690$	−7.10337	+	19.2473i	−0.270421	+	0.732732i
$691$	−41.9971	−	24.2470i	−1.59765	−	0.922401i	−0.991940	−	0.126712i	$-0.959558\pi$
$691$	−41.9971	−	24.2470i	−1.59765	−	0.922401i	−0.605706	−	0.795689i	$-0.707109\pi$
$692$	−5.49565	−	5.49565i	−0.208913	−	0.208913i
$693$	8.08313	−	8.35538i	0.307053	−	0.317395i
$694$			16.7042i			0.634082i
$695$	22.6726	+	16.0276i	0.860022	+	0.607960i
$696$	12.5343	−	7.23668i	0.475111	−	0.274306i
$697$	−5.09790	−	1.36598i	−0.193097	−	0.0517401i
$698$	−9.50244	−	35.4636i	−0.359673	−	1.34232i
$699$	11.5732			0.437739
$700$	1.25296	+	13.1693i	0.0473573	+	0.497752i
$701$	−30.8898			−1.16669			−0.583347	−	0.812223i	$-0.698257\pi$
$701$	−30.8898			−1.16669			−0.583347	+	0.812223i	$0.698257\pi$
$702$	0.289940	+	1.08207i	0.0109431	+	0.0408402i
$703$	27.7173	+	7.42684i	1.04538	+	0.280109i
$704$	−3.49872	+	2.01999i	−0.131863	+	0.0761311i
$705$	1.16332	+	0.822363i	0.0438130	+	0.0309720i
$706$		−	14.2708i		−	0.537089i
$707$	25.3796	+	6.35191i	0.954496	+	0.238888i
$708$	1.22290	+	1.22290i	0.0459595	+	0.0459595i
$709$	12.7354	+	7.35277i	0.478287	+	0.276139i	0.719702	−	0.694283i	$-0.244278\pi$
$709$	12.7354	+	7.35277i	0.478287	+	0.276139i	−0.241416	+	0.970422i	$0.577612\pi$
$710$	5.51414	−	14.9411i	0.206942	−	0.560730i
$711$	2.76054	+	4.78140i	0.103528	+	0.179316i
$712$	−2.96762	+	0.795171i	−0.111216	+	0.0298003i
$713$	−23.4656	+	23.4656i	−0.878795	+	0.878795i
$714$	5.61116	+	9.35745i	0.209992	+	0.350194i
$715$	1.67341	+	2.01256i	0.0625821	+	0.0752654i
$716$	1.93236	−	3.34695i	0.0722157	−	0.125081i
$717$	4.36306	−	16.2831i	0.162941	−	0.608105i
$718$	−7.01110	+	26.1658i	−0.261652	+	0.976499i
$719$	−11.7360	+	20.3273i	−0.437679	+	0.758082i	−0.997510	−	0.0705247i	$-0.977533\pi$
$719$	−11.7360	+	20.3273i	−0.437679	+	0.758082i	0.559831	+	0.828607i	$0.310866\pi$
$720$	−2.42177	−	0.222827i	−0.0902542	−	0.00830428i
$721$	5.50134	−	9.90382i	0.204881	−	0.368837i
$722$	13.7753	−	13.7753i	0.512665	−	0.512665i
$723$	5.78913	−	1.55119i	0.215300	−	0.0576895i
$724$	3.49553	+	6.05444i	0.129911	+	0.225012i
$725$	−33.7433	+	11.9399i	−1.25320	+	0.443436i
$726$	−9.31732	−	5.37936i	−0.345798	−	0.199647i
$727$	14.1380	+	14.1380i	0.524349	+	0.524349i	0.918882	−	0.394533i	$-0.129093\pi$
$727$	14.1380	+	14.1380i	0.524349	+	0.524349i	−0.394533	+	0.918882i	$0.629093\pi$
$728$	−0.550950	−	0.532998i	−0.0204196	−	0.0197542i
$729$			11.4004i			0.422236i
$730$	−14.8771	+	21.0452i	−0.550626	+	0.778917i
$731$	12.4359	−	7.17986i	0.459958	−	0.265557i
$732$	13.5155	+	3.62148i	0.499549	+	0.133854i
$733$	−7.17859	−	26.7908i	−0.265147	−	0.989543i	−0.962160	−	0.272484i	$-0.912155\pi$
$733$	−7.17859	−	26.7908i	−0.265147	−	0.989543i	0.697013	−	0.717058i	$-0.254512\pi$
$734$	22.6715			0.836821
$735$	23.6499	−	21.0274i	0.872339	−	0.775608i
$736$	−4.53813			−0.167278
$737$	3.30280	+	12.3262i	0.121660	+	0.454042i
$738$	−2.71829	−	0.728364i	−0.100062	−	0.0268114i
$739$	11.7451	−	6.78102i	0.432050	−	0.249444i	−0.268170	−	0.963372i	$-0.586419\pi$
$739$	11.7451	−	6.78102i	0.432050	−	0.249444i	0.700219	+	0.713928i	$0.253085\pi$
$740$	1.75043	+	10.1943i	0.0643470	+	0.374751i
$741$			3.63383i			0.133492i
$742$	−15.7498	−	15.2366i	−0.578194	−	0.559354i
$743$	13.5961	+	13.5961i	0.498791	+	0.498791i	0.911062	−	0.412270i	$-0.135264\pi$
$743$	13.5961	+	13.5961i	0.498791	+	0.498791i	−0.412270	+	0.911062i	$0.635264\pi$
$744$	−12.8037	−	7.39223i	−0.469407	−	0.271012i
$745$	22.4134	+	48.6339i	0.821162	+	1.78181i
$746$	6.41789	+	11.1161i	0.234976	+	0.406990i
$747$	5.72557	−	1.53416i	0.209488	−	0.0561320i
$748$	5.82691	−	5.82691i	0.213053	−	0.213053i
$749$	−19.1069	+	34.3973i	−0.698152	+	1.25685i
$750$	21.7534	+	6.14366i	0.794320	+	0.224335i
$751$	−21.8309	+	37.8123i	−0.796622	+	1.37979i	0.125182	+	0.992134i	$0.460049\pi$
$751$	−21.8309	+	37.8123i	−0.796622	+	1.37979i	−0.921804	+	0.387656i	$0.873285\pi$
$752$	−0.0815604	+	0.304388i	−0.00297420	+	0.0110999i
$753$	−8.46663	+	31.5979i	−0.308541	+	1.15149i
$754$	1.03707	−	1.79626i	0.0377678	−	0.0654158i
$755$	0.725941	−	7.88981i	0.0264197	−	0.287140i
$756$	−5.26079	−	8.77316i	−0.191333	−	0.319077i
$757$	7.88896	−	7.88896i	0.286729	−	0.286729i	−0.549056	−	0.835785i	$-0.685013\pi$
$757$	7.88896	−	7.88896i	0.286729	−	0.286729i	0.835785	+	0.549056i	$0.185013\pi$
$758$	13.9807	−	3.74613i	0.507803	−	0.136065i
$759$	−18.5337	−	32.1013i	−0.672730	−	1.16520i
$760$	13.0131	+	4.80260i	0.472036	+	0.174208i
$761$	−1.70923	−	0.986825i	−0.0619596	−	0.0357724i	0.468700	−	0.883357i	$-0.344722\pi$
$761$	−1.70923	−	0.986825i	−0.0619596	−	0.0357724i	−0.530660	+	0.847585i	$0.678056\pi$
$762$	−4.44761	−	4.44761i	−0.161120	−	0.161120i
$763$	−33.9593	−	8.49921i	−1.22941	−	0.307692i
$764$		−	4.47442i		−	0.161879i
$765$	4.88911	−	0.839490i	0.176766	−	0.0303518i
$766$	−1.51691	+	0.875788i	−0.0548082	+	0.0316435i
$767$	0.239397	+	0.0641463i	0.00864413	+	0.00231619i
$768$	−0.523277	−	1.95290i	−0.0188821	−	0.0704691i
$769$	17.4914			0.630756			0.315378	−	0.948966i	$-0.397869\pi$
$769$	17.4914			0.630756			0.315378	+	0.948966i	$0.397869\pi$
$770$	−19.7425	−	13.4715i	−0.711470	−	0.485480i
$771$	−11.7763			−0.424112
$772$	−5.19573	−	19.3907i	−0.186998	−	0.697887i
$773$	43.1933	+	11.5736i	1.55355	+	0.416274i	0.930616	−	0.365997i	$-0.119272\pi$
$773$	43.1933	+	11.5736i	1.55355	+	0.416274i	0.622939	+	0.782271i	$0.285939\pi$
$774$	6.63103	−	3.82843i	0.238347	−	0.137610i
$775$	27.7968	+	23.7524i	0.998491	+	0.853212i
$776$		−	9.37769i		−	0.336640i
$777$	17.2044	−	17.7839i	0.617205	−	0.637994i
$778$	1.96738	+	1.96738i	0.0705341	+	0.0705341i
$779$	13.9004	+	8.02542i	0.498035	+	0.287540i
$780$	−1.18961	+	0.548240i	−0.0425947	+	0.0196301i
$781$	14.3871	+	24.9193i	0.514813	+	0.891682i
$782$	8.94120	−	2.39579i	0.319737	−	0.0856732i
$783$	19.5716	−	19.5716i	0.699433	−	0.699433i
$784$	6.17475	+	3.29733i	0.220527	+	0.117762i
$785$	10.5268	−	8.75286i	0.375717	−	0.312403i
$786$	7.37827	−	12.7795i	0.263174	−	0.455831i
$787$	6.71595	−	25.0643i	0.239398	−	0.893445i	−0.736719	−	0.676199i	$-0.763626\pi$
$787$	6.71595	−	25.0643i	0.239398	−	0.893445i	0.976117	−	0.217246i	$-0.0697074\pi$
$788$	2.87294	−	10.7220i	0.102344	−	0.381954i
$789$	1.75605	−	3.04156i	0.0625170	−	0.108283i
$790$	8.72792	−	7.25713i	0.310525	−	0.258197i
$791$	−0.604323	−	36.4887i	−0.0214873	−	1.29739i
$792$	3.10701	−	3.10701i	0.110403	−	0.110403i
$793$	1.93688	−	0.518984i	0.0687805	−	0.0184297i
$794$	19.8340	+	34.3535i	0.703881	+	1.21916i
$795$	−34.0069	+	15.6724i	−1.20610	+	0.555841i
$796$	−9.35485	−	5.40103i	−0.331574	−	0.191434i
$797$	37.3374	+	37.3374i	1.32256	+	1.32256i	0.911698	+	0.410861i	$0.134772\pi$
$797$	37.3374	+	37.3374i	1.32256	+	1.32256i	0.410861	+	0.911698i	$0.365228\pi$
$798$	−9.11786	−	31.9052i	−0.322769	−	1.12943i
$799$		−	0.642773i		−	0.0227397i
$800$	0.391082	+	4.98468i	0.0138268	+	0.176235i
$801$	2.89384	−	1.67076i	0.102249	−	0.0590333i
$802$	19.2901	+	5.16876i	0.681156	+	0.182515i
$803$	−12.0517	−	44.9776i	−0.425295	−	1.58722i
$804$	−6.38621			−0.225224
$805$	−11.6394	−	24.1937i	−0.410236	−	0.852717i
$806$	−2.11872			−0.0746287
$807$	1.97975	+	7.38854i	0.0696906	+	0.260089i
$808$	9.55150	+	2.55932i	0.336021	+	0.0900364i
$809$	13.9001	−	8.02525i	0.488703	−	0.282153i	−0.235333	−	0.971915i	$-0.575618\pi$
$809$	13.9001	−	8.02525i	0.488703	−	0.282153i	0.724036	+	0.689762i	$0.242285\pi$
$810$	−24.4182	+	4.19275i	−0.857967	+	0.147318i
$811$			35.4040i			1.24320i	0.783334	+	0.621602i	$0.213518\pi$
$811$			35.4040i			1.24320i	−0.783334	+	0.621602i	$0.786482\pi$
$812$	−4.59844	+	18.3734i	−0.161374	+	0.644781i
$813$	−30.3791	−	30.3791i	−1.06544	−	1.06544i
$814$	−16.1842	−	9.34397i	−0.567257	−	0.327506i
$815$	−34.7345	−	12.8190i	−1.21670	−	0.449032i
$816$	2.06196	+	3.57142i	0.0721831	+	0.125025i
$817$	−42.1832	+	11.3030i	−1.47580	+	0.395440i
$818$	−10.8227	+	10.8227i	−0.378407	+	0.378407i
$819$	0.728847	+	0.404858i	0.0254680	+	0.0141469i
$820$	−0.530105	+	5.76139i	−0.0185121	+	0.201196i
$821$	−13.4231	+	23.2495i	−0.468469	+	0.811412i	−0.999351	−	0.0360337i	$-0.988528\pi$
$821$	−13.4231	+	23.2495i	−0.468469	+	0.811412i	0.530881	+	0.847446i	$0.321861\pi$
$822$	3.75657	−	14.0197i	0.131025	−	0.488993i
$823$	7.24225	−	27.0285i	0.252449	−	0.942153i	−0.717043	−	0.697029i	$-0.754505\pi$
$823$	7.24225	−	27.0285i	0.252449	−	0.942153i	0.969492	−	0.245124i	$-0.0788286\pi$
$824$	2.14101	−	3.70835i	0.0745858	−	0.129186i
$825$	−33.6628	+	23.1237i	−1.17199	+	0.805066i
$826$	−2.26288	+	0.0374776i	−0.0787355	+	0.00130401i
$827$	16.8901	−	16.8901i	0.587325	−	0.587325i	−0.349581	−	0.936906i	$-0.613676\pi$
$827$	16.8901	−	16.8901i	0.587325	−	0.587325i	0.936906	+	0.349581i	$0.113676\pi$
$828$	4.76761	−	1.27748i	0.165686	−	0.0443954i
$829$	−7.08412	−	12.2701i	−0.246042	−	0.426157i	0.716382	−	0.697708i	$-0.245797\pi$
$829$	−7.08412	−	12.2701i	−0.246042	−	0.426157i	−0.962424	+	0.271551i	$0.912463\pi$
$830$	−5.10066	−	11.0677i	−0.177047	−	0.384167i
$831$	8.56228	+	4.94343i	0.297022	+	0.171486i
$832$	−0.204875	−	0.204875i	−0.00710276	−	0.00710276i
$833$	−13.9065	−	3.23673i	−0.481831	−	0.112146i
$834$		−	25.1049i		−	0.869311i
$835$	−5.50526	−	32.0621i	−0.190517	−	1.10956i
$836$	−21.7037	+	12.5306i	−0.750638	+	0.433381i
$837$	−27.3100	−	7.31770i	−0.943972	−	0.252937i
$838$	7.17000	+	26.7588i	0.247683	+	0.924367i
$839$	−18.1874			−0.627900			−0.313950	−	0.949439i	$-0.601652\pi$
$839$	−18.1874			−0.627900			−0.313950	+	0.949439i	$0.601652\pi$
$840$	9.06920	−	7.79850i	0.312917	−	0.269074i
$841$	−22.2469			−0.767134
$842$	8.54515	+	31.8909i	0.294485	+	1.09903i
$843$	−57.5667	−	15.4250i	−1.98270	−	0.531264i
$844$	−6.55196	+	3.78278i	−0.225528	+	0.130209i
$845$	16.6715	−	23.5835i	0.573517	−	0.811298i
$846$		−	0.342738i		−	0.0117836i
$847$	13.5371	−	3.86863i	0.465141	−	0.132928i
$848$	−5.85669	−	5.85669i	−0.201120	−	0.201120i
$849$	−19.7567	−	11.4065i	−0.678048	−	0.391471i
$850$	−3.40206	−	9.61455i	−0.116690	−	0.329776i
$851$	−10.4962	−	18.1799i	−0.359804	−	0.623198i
$852$	−13.9093	+	3.72699i	−0.476525	+	0.127685i
$853$	17.4820	−	17.4820i	0.598574	−	0.598574i	−0.341359	−	0.939933i	$-0.610887\pi$
$853$	17.4820	−	17.4820i	0.598574	−	0.598574i	0.939933	+	0.341359i	$0.110887\pi$
$854$	−15.7037	+	9.41665i	−0.537369	+	0.322231i
$855$	−15.0231	−	1.38227i	−0.513778	−	0.0472726i
$856$	−7.43604	+	12.8796i	−0.254159	+	0.440216i
$857$	−6.76932	+	25.2634i	−0.231235	+	0.862982i	0.748574	+	0.663051i	$0.230739\pi$
$857$	−6.76932	+	25.2634i	−0.231235	+	0.862982i	−0.979810	+	0.199932i	$0.935928\pi$
$858$	0.612511	−	2.28592i	0.0209108	−	0.0780401i
$859$	−24.4126	+	42.2838i	−0.832946	+	1.44271i	0.0627455	+	0.998030i	$0.480014\pi$
$859$	−24.4126	+	42.2838i	−0.832946	+	1.44271i	−0.895692	+	0.444676i	$0.853319\pi$
$860$	−10.0645	−	12.1042i	−0.343196	−	0.412751i
$861$	11.8701	−	7.11788i	0.404533	−	0.242577i
$862$	16.9121	−	16.9121i	0.576027	−	0.576027i
$863$	−14.8258	+	3.97256i	−0.504676	+	0.135228i	−0.502169	−	0.864769i	$-0.667465\pi$
$863$	−14.8258	+	3.97256i	−0.504676	+	0.135228i	−0.00250685	+	0.999997i	$0.500798\pi$
$864$	−1.93321	−	3.34841i	−0.0657691	−	0.113915i
$865$	6.01708	−	16.3039i	0.204587	−	0.554349i
$866$	16.2298	+	9.37026i	0.551510	+	0.318414i
$867$	18.3555	+	18.3555i	0.623387	+	0.623387i
$868$	18.6025	−	5.31621i	0.631410	−	0.180444i
$869$			20.5080i			0.695686i
$870$	26.4270	+	18.6816i	0.895960	+	0.633366i
$871$	−0.792578	+	0.457595i	−0.0268555	+	0.0155050i
$872$	−12.7804	−	3.42451i	−0.432800	−	0.115968i
$873$	2.63980	+	9.85188i	0.0893438	+	0.333436i
$874$	−28.1515			−0.952240
$875$	−25.5713	+	14.8697i	−0.864469	+	0.502687i
$876$	23.3028			0.787330
$877$	−10.2134	−	38.1169i	−0.344882	−	1.28712i	−0.892750	−	0.450552i	$-0.851227\pi$
$877$	−10.2134	−	38.1169i	−0.344882	−	1.28712i	0.547868	−	0.836565i	$-0.315440\pi$
$878$	13.6270	+	3.65133i	0.459888	+	0.123227i
$879$	17.9128	−	10.3420i	0.604185	−	0.348826i
$880$	−7.37662	−	5.21463i	−0.248666	−	0.175785i
$881$			52.5926i			1.77189i	0.463791	+	0.885945i	$0.346489\pi$
$881$			52.5926i			1.77189i	−0.463791	+	0.885945i	$0.653511\pi$
$882$	−7.41518	−	1.72588i	−0.249682	−	0.0581135i
$883$	13.0940	+	13.0940i	0.440649	+	0.440649i	0.892230	−	0.451581i	$-0.149140\pi$
$883$	13.0940	+	13.0940i	0.440649	+	0.440649i	−0.451581	+	0.892230i	$0.649140\pi$
$884$	0.511811	+	0.295494i	0.0172141	+	0.00993854i
$885$	−1.33893	+	3.62797i	−0.0450077	+	0.121953i
$886$	−10.5317	−	18.2414i	−0.353819	−	0.612833i
$887$	35.6990	−	9.56553i	1.19866	−	0.321179i	0.396354	−	0.918098i	$-0.370275\pi$
$887$	35.6990	−	9.56553i	1.19866	−	0.321179i	0.802302	+	0.596919i	$0.203609\pi$
$888$	6.61308	−	6.61308i	0.221920	−	0.221920i
$889$	8.22991	−	0.136303i	0.276022	−	0.00457146i
$890$	−4.39223	−	5.28239i	−0.147228	−	0.177066i
$891$	22.3813	−	38.7656i	0.749803	−	1.29870i
$892$	3.42318	−	12.7755i	0.114617	−	0.427755i
$893$	−0.505946	+	1.88822i	−0.0169308	+	0.0631867i
$894$	24.2092	−	41.9316i	0.809678	−	1.40240i
$895$	8.60543	+	0.791785i	0.287648	+	0.0264664i
$896$	2.31288	+	1.28475i	0.0772679	+	0.0429205i
$897$	1.87976	−	1.87976i	0.0627633	−	0.0627633i
$898$	30.2574	−	8.10744i	1.00970	−	0.270549i
$899$	26.1742	+	45.3351i	0.872959	+	1.51201i
$900$	−1.81404	−	5.12665i	−0.0604679	−	0.170888i
$901$	14.6310	+	8.44719i	0.487428	+	0.281417i
$902$	−7.39156	−	7.39156i	−0.246112	−	0.246112i
$903$	−9.14288	+	36.5311i	−0.304256	+	1.21568i
$904$		−	13.7933i		−	0.458759i
$905$	−9.02378	+	12.7651i	−0.299961	+	0.424325i
$906$	−6.20410	+	3.58194i	−0.206117	+	0.119002i
$907$	16.0061	+	4.28883i	0.531474	+	0.142408i	0.514569	−	0.857449i	$-0.327952\pi$
$907$	16.0061	+	4.28883i	0.531474	+	0.142408i	0.0169054	+	0.999857i	$0.494619\pi$
$908$	4.19127	+	15.6420i	0.139092	+	0.519099i
$909$	−10.7549			−0.356718
$910$	0.566767	−	1.61769i	0.0187881	−	0.0536261i
$911$	−1.46770			−0.0486270			−0.0243135	−	0.999704i	$-0.507740\pi$
$911$	−1.46770			−0.0486270			−0.0243135	+	0.999704i	$0.507740\pi$
$912$	−3.24606	−	12.1145i	−0.107488	−	0.401150i
$913$	21.2676	+	5.69862i	0.703853	+	0.188597i
$914$	2.47817	−	1.43077i	0.0819705	−	0.0473257i
$915$	5.29482	+	30.8365i	0.175041	+	1.01942i
$916$		−	11.7764i		−	0.389103i
$917$	5.30617	+	18.5674i	0.175225	+	0.613149i
$918$	5.57658	+	5.57658i	0.184055	+	0.184055i
$919$	−24.1523	−	13.9443i	−0.796710	−	0.459981i	0.0456096	−	0.998959i	$-0.485477\pi$
$919$	−24.1523	−	13.9443i	−0.796710	−	0.459981i	−0.842319	+	0.538979i	$0.818810\pi$
$920$	−4.24726	−	9.21597i	−0.140028	−	0.303842i
$921$	1.54197	+	2.67078i	0.0508098	+	0.0880051i
$922$	2.92361	−	0.783378i	0.0962838	−	0.0257992i
$923$	−1.45920	+	1.45920i	−0.0480302	+	0.0480302i
$924$	0.357861	+	21.6075i	0.0117728	+	0.710833i
$925$	−19.0642	+	13.0957i	−0.626828	+	0.430582i
$926$	−13.6393	+	23.6240i	−0.448215	+	0.776332i
$927$	−1.20538	+	4.49855i	−0.0395900	+	0.147752i
$928$	−1.85281	+	6.91477i	−0.0608213	+	0.226988i
$929$	16.6468	−	28.8331i	0.546164	−	0.945984i	−0.452368	−	0.891831i	$-0.649421\pi$
$929$	16.6468	−	28.8331i	0.546164	−	0.945984i	0.998533	−	0.0541530i	$-0.0172459\pi$
$930$	3.02896	−	32.9200i	0.0993236	−	1.07949i
$931$	38.3040	+	20.4544i	1.25536	+	0.670367i
$932$	−4.04765	+	4.04765i	−0.132585	+	0.132585i
$933$	−18.8030	+	5.03824i	−0.615581	+	0.164944i
$934$	−12.5645	−	21.7623i	−0.411122	−	0.712084i
$935$	17.2866	+	6.37976i	0.565333	+	0.208641i
$936$	0.272906	+	0.157563i	0.00892023	+	0.00515009i
$937$	−25.6651	−	25.6651i	−0.838442	−	0.838442i	0.150212	−	0.988654i	$-0.452004\pi$
$937$	−25.6651	−	25.6651i	−0.838442	−	0.838442i	−0.988654	+	0.150212i	$0.952004\pi$
$938$	5.81071	−	6.00642i	0.189726	−	0.196117i
$939$			6.11942i			0.199700i
$940$	−0.694478	+	0.119246i	−0.0226514	+	0.00388938i
$941$	−21.0732	+	12.1666i	−0.686967	+	0.396621i	−0.802475	−	0.596686i	$-0.796484\pi$
$941$	−21.0732	+	12.1666i	−0.686967	+	0.396621i	0.115508	+	0.993307i	$0.463151\pi$
$942$	−11.9566	−	3.20377i	−0.389568	−	0.104384i
$943$	−3.03911	−	11.3421i	−0.0989670	−	0.369350i
$944$	−0.855404			−0.0278410
$945$	12.8928	−	18.8944i	0.419402	−	0.614634i
$946$	28.4413			0.924707
$947$	−0.556477	−	2.07680i	−0.0180831	−	0.0674869i	0.956295	−	0.292405i	$-0.0944554\pi$
$947$	−0.556477	−	2.07680i	−0.0180831	−	0.0674869i	−0.974378	+	0.224918i	$0.927789\pi$
$948$	−9.91343	−	2.65630i	−0.321973	−	0.0862725i
$949$	2.89206	−	1.66973i	0.0938804	−	0.0542019i
$950$	2.42601	+	30.9216i	0.0787101	+	1.00323i
$951$			3.93980i			0.127757i
$952$	−5.23517	−	1.31024i	−0.169673	−	0.0424652i
$953$	−13.1863	−	13.1863i	−0.427146	−	0.427146i	0.460509	−	0.887655i	$-0.347667\pi$
$953$	−13.1863	−	13.1863i	−0.427146	−	0.427146i	−0.887655	+	0.460509i	$0.847667\pi$
$954$	7.80149	+	4.50419i	0.252582	+	0.145829i
$955$	9.08659	−	4.18763i	0.294035	−	0.135509i
$956$	4.16897	+	7.22087i	0.134834	+	0.233540i
$957$	−56.4796	+	15.1337i	−1.82573	+	0.489202i
$958$	−5.85973	+	5.85973i	−0.189319	+	0.189319i
$959$	9.76792	+	16.2895i	0.315423	+	0.526015i
$960$	3.47617	−	2.89039i	0.112193	−	0.0932869i
$961$	11.2368	−	19.4627i	0.362477	−	0.627829i
$962$	0.346883	−	1.29459i	0.0111840	−	0.0417391i
$963$	4.18646	−	15.6241i	0.134907	−	0.503479i
$964$	−1.48219	+	2.56723i	−0.0477381	+	0.0826849i
$965$	34.5156	−	28.6993i	1.11110	−	0.923862i
$966$	−11.7878	+	21.2210i	−0.379266	+	0.682775i
$967$	−27.7931	+	27.7931i	−0.893766	+	0.893766i	−0.994875	−	0.101109i	$-0.967761\pi$
$967$	−27.7931	+	27.7931i	−0.893766	+	0.893766i	0.101109	+	0.994875i	$0.467761\pi$
$968$	5.14006	−	1.37728i	0.165208	−	0.0442673i
$969$	12.7910	+	22.1547i	0.410907	+	0.711711i
$970$	19.0441	−	8.77662i	0.611468	−	0.281800i
$971$	12.1029	+	6.98760i	0.388400	+	0.224243i	0.681467	−	0.731849i	$-0.261342\pi$
$971$	12.1029	+	6.98760i	0.388400	+	0.224243i	−0.293067	+	0.956092i	$0.594676\pi$
$972$	7.63821	+	7.63821i	0.244996	+	0.244996i
$973$	23.6119	+	22.8425i	0.756963	+	0.732298i
$974$		−	10.6783i		−	0.342155i
$975$	−2.22671	−	1.90273i	−0.0713119	−	0.0609362i
$976$	−5.99356	+	3.46038i	−0.191849	+	0.110764i
$977$	−8.06456	−	2.16089i	−0.258008	−	0.0691331i	0.127496	−	0.991839i	$-0.459306\pi$
$977$	−8.06456	−	2.16089i	−0.258008	−	0.0691331i	−0.385505	+	0.922706i	$0.625973\pi$
$978$	8.66436	+	32.3358i	0.277056	+	1.03399i
$979$	12.4120			0.396690
$980$	−0.917190	+	15.6256i	−0.0292986	+	0.499141i
$981$	14.3907			0.459459
$982$	6.65836	+	24.8494i	0.212477	+	0.792975i
$983$	−23.5262	−	6.30383i	−0.750370	−	0.201061i	−0.136688	−	0.990614i	$-0.543646\pi$
$983$	−23.5262	−	6.30383i	−0.750370	−	0.201061i	−0.613682	+	0.789553i	$0.710312\pi$
$984$	4.53043	−	2.61564i	0.144425	−	0.0833836i
$985$	24.4628	−	4.20041i	0.779449	−	0.133836i
$986$		−	14.6019i		−	0.465018i
$987$	1.21151	+	1.17203i	0.0385628	+	0.0373062i
$988$	−1.27091	−	1.27091i	−0.0404329	−	0.0404329i
$989$	27.6681	+	15.9742i	0.879794	+	0.507949i
$990$	9.21753	+	3.40180i	0.292952	+	0.108116i
$991$	−8.72002	−	15.1035i	−0.277000	−	0.479779i	0.693637	−	0.720324i	$-0.256007\pi$
$991$	−8.72002	−	15.1035i	−0.277000	−	0.479779i	−0.970638	+	0.240545i	$0.922674\pi$
$992$	7.06340	−	1.89263i	0.224263	−	0.0600911i
$993$	41.3067	−	41.3067i	1.31083	−	1.31083i
$994$	9.15051	−	16.4733i	0.290237	−	0.522500i
$995$	2.21307	−	24.0525i	0.0701590	−	0.762516i
$996$	−5.50936	+	9.54248i	−0.174571	+	0.302365i
$997$	6.77324	−	25.2781i	0.214511	−	0.800565i	−0.771827	−	0.635832i	$-0.780657\pi$
$997$	6.77324	−	25.2781i	0.214511	−	0.800565i	0.986338	−	0.164733i	$-0.0526762\pi$
$998$	−3.77845	+	14.1014i	−0.119605	+	0.446371i
$999$	8.94255	−	15.4890i	0.282930	−	0.490049i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	70.2.k.a.33.4	yes	16
3.2	odd	2		630.2.bv.c.523.2		16
4.3	odd	2		560.2.ci.c.33.1		16
5.2	odd	4	inner	70.2.k.a.47.2	yes	16
5.3	odd	4		350.2.o.c.257.3		16
5.4	even	2		350.2.o.c.243.1		16
7.2	even	3		490.2.g.c.293.5		16
7.3	odd	6	inner	70.2.k.a.3.2	✓	16
7.4	even	3		490.2.l.c.423.1		16
7.5	odd	6		490.2.g.c.293.8		16
7.6	odd	2		490.2.l.c.313.3		16
15.2	even	4		630.2.bv.c.397.4		16
20.7	even	4		560.2.ci.c.257.1		16
21.17	even	6		630.2.bv.c.73.4		16
28.3	even	6		560.2.ci.c.353.1		16
35.2	odd	12		490.2.g.c.97.8		16
35.3	even	12		350.2.o.c.157.1		16
35.12	even	12		490.2.g.c.97.5		16
35.17	even	12	inner	70.2.k.a.17.4	yes	16
35.24	odd	6		350.2.o.c.143.3		16
35.27	even	4		490.2.l.c.117.1		16
35.32	odd	12		490.2.l.c.227.3		16
105.17	odd	12		630.2.bv.c.577.2		16
140.87	odd	12		560.2.ci.c.17.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
70.2.k.a.3.2	✓	16	7.3	odd	6	inner
70.2.k.a.17.4	yes	16	35.17	even	12	inner
70.2.k.a.33.4	yes	16	1.1	even	1	trivial
70.2.k.a.47.2	yes	16	5.2	odd	4	inner
350.2.o.c.143.3		16	35.24	odd	6
350.2.o.c.157.1		16	35.3	even	12
350.2.o.c.243.1		16	5.4	even	2
350.2.o.c.257.3		16	5.3	odd	4
490.2.g.c.97.5		16	35.12	even	12
490.2.g.c.97.8		16	35.2	odd	12
490.2.g.c.293.5		16	7.2	even	3
490.2.g.c.293.8		16	7.5	odd	6
490.2.l.c.117.1		16	35.27	even	4
490.2.l.c.227.3		16	35.32	odd	12
490.2.l.c.313.3		16	7.6	odd	2
490.2.l.c.423.1		16	7.4	even	3
560.2.ci.c.17.1		16	140.87	odd	12
560.2.ci.c.33.1		16	4.3	odd	2
560.2.ci.c.257.1		16	20.7	even	4
560.2.ci.c.353.1		16	28.3	even	6
630.2.bv.c.73.4		16	21.17	even	6
630.2.bv.c.397.4		16	15.2	even	4
630.2.bv.c.523.2		16	3.2	odd	2
630.2.bv.c.577.2		16	105.17	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 70 = 2 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	70.k (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.258819 + 0.965926i) q^{2} +(1.95290 + 0.523277i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.82591 - 1.29076i) q^{5} +2.02179i q^{6} +(-1.90155 - 1.83959i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.941911 + 0.543813i) q^{9} +O(q^{10})\)	\(q+(0.258819 + 0.965926i) q^{2} +(1.95290 + 0.523277i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.82591 - 1.29076i) q^{5} +2.02179i q^{6} +(-1.90155 - 1.83959i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.941911 + 0.543813i) q^{9} +(0.774197 - 2.09777i) q^{10} +(2.01999 + 3.49872i) q^{11} +(-1.95290 + 0.523277i) q^{12} +(-0.204875 + 0.204875i) q^{13} +(1.28475 - 2.31288i) q^{14} +(-2.89039 - 3.47617i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.527924 + 1.97024i) q^{17} +(-0.281498 + 1.05057i) q^{18} +(3.10166 - 5.37224i) q^{19} +(2.22666 + 0.204875i) q^{20} +(-2.75092 - 4.58757i) q^{21} +(-2.85669 + 2.85669i) q^{22} +(-4.38350 + 1.17456i) q^{23} +(-1.01089 - 1.75092i) q^{24} +(1.66789 + 4.71361i) q^{25} +(-0.250919 - 0.144868i) q^{26} +(-2.73397 - 2.73397i) q^{27} +(2.56659 + 0.642357i) q^{28} +7.15869i q^{29} +(2.60964 - 3.69160i) q^{30} +(6.33287 - 3.65628i) q^{31} +(0.965926 + 0.258819i) q^{32} +(2.11403 + 7.88965i) q^{33} -2.03974 q^{34} +(1.09759 + 5.81337i) q^{35} -1.08763 q^{36} +(1.19723 + 4.46814i) q^{37} +(5.99195 + 1.60554i) q^{38} +(-0.507306 + 0.292893i) q^{39} +(0.378409 + 2.20382i) q^{40} +2.58745i q^{41} +(3.71926 - 3.84454i) q^{42} +(-4.97801 - 4.97801i) q^{43} +(-3.49872 - 2.01999i) q^{44} +(-1.01791 - 2.20873i) q^{45} +(-2.26907 - 3.93014i) q^{46} +(-0.304388 + 0.0815604i) q^{47} +(1.42962 - 1.42962i) q^{48} +(0.231803 + 6.99616i) q^{49} +(-4.12132 + 2.83103i) q^{50} +(-2.06196 + 3.57142i) q^{51} +(0.0749894 - 0.279864i) q^{52} +(2.14370 - 8.00039i) q^{53} +(1.93321 - 3.34841i) q^{54} +(0.827689 - 8.99566i) q^{55} +(0.0438127 + 2.64539i) q^{56} +(8.86840 - 8.86840i) q^{57} +(-6.91477 + 1.85281i) q^{58} +(-0.427702 - 0.740802i) q^{59} +(4.24124 + 1.56526i) q^{60} +(-5.99356 - 3.46038i) q^{61} +(5.17076 + 5.17076i) q^{62} +(-0.790700 - 2.76682i) q^{63} +1.00000i q^{64} +(0.638527 - 0.109639i) q^{65} +(-7.07367 + 4.08398i) q^{66} +(3.05106 + 0.817530i) q^{67} +(-0.527924 - 1.97024i) q^{68} -9.17514 q^{69} +(-5.33121 + 2.56480i) q^{70} +7.12240 q^{71} +(-0.281498 - 1.05057i) q^{72} +(-11.1331 - 2.98311i) q^{73} +(-4.00603 + 2.31288i) q^{74} +(0.790684 + 10.0780i) q^{75} +6.20333i q^{76} +(2.59511 - 10.3690i) q^{77} +(-0.414214 - 0.414214i) q^{78} +(4.39618 + 2.53813i) q^{79} +(-2.03078 + 0.935904i) q^{80} +(-5.53997 - 9.59552i) q^{81} +(-2.49929 + 0.669683i) q^{82} +(3.85372 - 3.85372i) q^{83} +(4.67615 + 2.59749i) q^{84} +(3.50704 - 2.91605i) q^{85} +(3.51999 - 6.09680i) q^{86} +(-3.74598 + 13.9802i) q^{87} +(1.04562 - 3.90231i) q^{88} +(1.53615 - 2.66069i) q^{89} +(1.87002 - 1.55489i) q^{90} +(0.766467 - 0.0126942i) q^{91} +(3.20895 - 3.20895i) q^{92} +(14.2807 - 3.82650i) q^{93} +(-0.157563 - 0.272906i) q^{94} +(-12.5976 + 5.80572i) q^{95} +(1.75092 + 1.01089i) q^{96} +(6.63103 + 6.63103i) q^{97} +(-6.69778 + 2.03464i) q^{98} +4.39398i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 12 q^{5} + 8 q^{7}+O(q^{10}) \) 16 * q - 12 * q^5 + 8 * q^7	\( 16 q - 12 q^{5} + 8 q^{7} - 12 q^{10} - 12 q^{11} + 16 q^{15} + 8 q^{16} - 36 q^{17} - 8 q^{18} - 28 q^{21} - 8 q^{22} - 4 q^{23} + 12 q^{25} + 12 q^{26} + 4 q^{28} + 20 q^{30} + 24 q^{31} + 48 q^{33} + 8 q^{35} - 8 q^{36} + 4 q^{37} + 24 q^{38} + 36 q^{42} - 8 q^{43} - 12 q^{45} - 8 q^{46} + 12 q^{47} - 32 q^{50} - 16 q^{51} - 28 q^{53} - 4 q^{56} + 8 q^{57} - 32 q^{58} + 8 q^{60} - 12 q^{61} - 36 q^{63} - 8 q^{65} + 32 q^{67} - 36 q^{68} - 12 q^{70} + 16 q^{71} - 8 q^{72} - 12 q^{73} - 48 q^{75} + 16 q^{77} + 16 q^{78} - 12 q^{80} - 48 q^{82} + 24 q^{85} + 12 q^{86} - 24 q^{87} - 4 q^{88} - 16 q^{91} + 8 q^{92} + 28 q^{93} + 20 q^{95} + 12 q^{96} + 40 q^{98}+O(q^{100}) \) 16 * q - 12 * q^5 + 8 * q^7 - 12 * q^10 - 12 * q^11 + 16 * q^15 + 8 * q^16 - 36 * q^17 - 8 * q^18 - 28 * q^21 - 8 * q^22 - 4 * q^23 + 12 * q^25 + 12 * q^26 + 4 * q^28 + 20 * q^30 + 24 * q^31 + 48 * q^33 + 8 * q^35 - 8 * q^36 + 4 * q^37 + 24 * q^38 + 36 * q^42 - 8 * q^43 - 12 * q^45 - 8 * q^46 + 12 * q^47 - 32 * q^50 - 16 * q^51 - 28 * q^53 - 4 * q^56 + 8 * q^57 - 32 * q^58 + 8 * q^60 - 12 * q^61 - 36 * q^63 - 8 * q^65 + 32 * q^67 - 36 * q^68 - 12 * q^70 + 16 * q^71 - 8 * q^72 - 12 * q^73 - 48 * q^75 + 16 * q^77 + 16 * q^78 - 12 * q^80 - 48 * q^82 + 24 * q^85 + 12 * q^86 - 24 * q^87 - 4 * q^88 - 16 * q^91 + 8 * q^92 + 28 * q^93 + 20 * q^95 + 12 * q^96 + 40 * q^98

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