LMFDB - Embedded newform 350.2.h.a.71.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.h (of order $5$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	$\Q(\zeta_{15})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 $ x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			71.1
Root			$-0.978148 + 0.207912i$ of defining polynomial
Character	$\chi$	$=$	350.71
Dual form			350.2.h.a.281.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(-0.169131 - 0.122881i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(-0.169131 + 0.122881i) q^{6} +1.00000 q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.913545 - 2.81160i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(-0.169131 - 0.122881i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(-0.169131 + 0.122881i) q^{6} +1.00000 q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.913545 - 2.81160i) q^{9} +(-1.49622 - 1.66172i) q^{10} +(-0.524676 + 1.61479i) q^{11} +(0.0646021 + 0.198825i) q^{12} +(-0.531579 - 1.63603i) q^{13} +(0.309017 - 0.951057i) q^{14} +(-0.427051 + 0.190135i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.417324 - 0.303204i) q^{17} -2.95630 q^{18} +(1.45630 - 1.05806i) q^{19} +(-2.04275 + 0.909491i) q^{20} +(-0.169131 - 0.122881i) q^{21} +(1.37362 + 0.997993i) q^{22} +(0.986494 - 3.03612i) q^{23} +0.209057 q^{24} +(-2.50000 - 4.33013i) q^{25} -1.72023 q^{26} +(-0.384789 + 1.18426i) q^{27} +(-0.809017 - 0.587785i) q^{28} +(0.0180739 + 0.0131315i) q^{29} +(0.0488635 + 0.464905i) q^{30} +(-4.39908 + 3.19612i) q^{31} +1.00000 q^{32} +(0.287165 - 0.208637i) q^{33} +(-0.159404 - 0.490594i) q^{34} +(1.11803 - 1.93649i) q^{35} +(-0.913545 + 2.81160i) q^{36} +(-1.43395 - 4.41326i) q^{37} +(-0.556255 - 1.71198i) q^{38} +(-0.111130 + 0.342024i) q^{39} +(0.233733 + 2.22382i) q^{40} +(1.76706 + 5.43844i) q^{41} +(-0.169131 + 0.122881i) q^{42} +7.41620 q^{43} +(1.37362 - 0.997993i) q^{44} +(-6.46602 - 1.37440i) q^{45} +(-2.58268 - 1.87642i) q^{46} +(9.53424 + 6.92703i) q^{47} +(0.0646021 - 0.198825i) q^{48} +1.00000 q^{49} +(-4.89074 + 1.03956i) q^{50} -0.107840 q^{51} +(-0.531579 + 1.63603i) q^{52} +(6.27504 + 4.55908i) q^{53} +(1.00739 + 0.731913i) q^{54} +(2.54041 + 2.82142i) q^{55} +(-0.809017 + 0.587785i) q^{56} -0.376319 q^{57} +(0.0180739 - 0.0131315i) q^{58} +(0.971244 + 2.98918i) q^{59} +(0.457250 + 0.0971915i) q^{60} +(-3.49856 + 10.7675i) q^{61} +(1.68030 + 5.17143i) q^{62} +(-0.913545 - 2.81160i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-3.76249 - 0.799742i) q^{65} +(-0.109687 - 0.337582i) q^{66} +(6.72161 - 4.88353i) q^{67} -0.515841 q^{68} +(-0.539926 + 0.392279i) q^{69} +(-1.49622 - 1.66172i) q^{70} +(9.06444 + 6.58570i) q^{71} +(2.39169 + 1.73767i) q^{72} +(2.18497 - 6.72465i) q^{73} -4.64037 q^{74} +(-0.109262 + 1.03956i) q^{75} -1.80008 q^{76} +(-0.524676 + 1.61479i) q^{77} +(0.290943 + 0.211383i) q^{78} +(-5.92455 - 4.30444i) q^{79} +(2.18720 + 0.464905i) q^{80} +(-6.96448 + 5.05999i) q^{81} +5.71832 q^{82} +(-1.48347 + 1.07781i) q^{83} +(0.0646021 + 0.198825i) q^{84} +(-0.120569 - 1.14714i) q^{85} +(2.29173 - 7.05323i) q^{86} +(-0.00144325 - 0.00444187i) q^{87} +(-0.524676 - 1.61479i) q^{88} +(-2.35302 + 7.24186i) q^{89} +(-3.30524 + 5.72484i) q^{90} +(-0.531579 - 1.63603i) q^{91} +(-2.58268 + 1.87642i) q^{92} +1.13676 q^{93} +(9.53424 - 6.92703i) q^{94} +(-0.420738 - 4.00305i) q^{95} +(-0.169131 - 0.122881i) q^{96} +(2.33465 + 1.69622i) q^{97} +(0.309017 - 0.951057i) q^{98} +5.01945 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9}+O(q^{10}) $ 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9	\( 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9} + 5 q^{10} - q^{11} - 2 q^{12} + 11 q^{13} - 2 q^{14} + 10 q^{15} - 2 q^{16} + 14 q^{17} - 6 q^{18} - 6 q^{19} - 5 q^{20} + 3 q^{21} + 4 q^{22} + 15 q^{23} - 2 q^{24} - 20 q^{25} - 14 q^{26} - 2 q^{28} - 8 q^{29} - 5 q^{30} - 7 q^{31} + 8 q^{32} - 11 q^{33} - 21 q^{34} - q^{36} + 14 q^{37} + 14 q^{38} - 4 q^{39} - 5 q^{40} + 3 q^{41} + 3 q^{42} - 6 q^{43} + 4 q^{44} - 10 q^{45} - 10 q^{46} + 2 q^{47} - 2 q^{48} + 8 q^{49} + 5 q^{50} + 14 q^{51} + 11 q^{52} + 4 q^{53} - 5 q^{54} + 20 q^{55} - 2 q^{56} - 36 q^{57} - 8 q^{58} + 11 q^{59} + 15 q^{60} + 13 q^{62} - q^{63} - 2 q^{64} - 20 q^{65} + 24 q^{66} + 14 q^{67} + 14 q^{68} - 5 q^{69} + 5 q^{70} + 23 q^{71} + 4 q^{72} - 5 q^{73} - 36 q^{74} - 45 q^{75} - 16 q^{76} - q^{77} + 6 q^{78} + 2 q^{79} + 5 q^{80} - 7 q^{81} - 12 q^{82} - 27 q^{83} - 2 q^{84} + 15 q^{85} + 4 q^{86} - 28 q^{87} - q^{88} - 15 q^{89} - 5 q^{90} + 11 q^{91} - 10 q^{92} + 38 q^{93} + 2 q^{94} + 20 q^{95} + 3 q^{96} + 40 q^{97} - 2 q^{98} - 8 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9 + 5 * q^10 - q^11 - 2 * q^12 + 11 * q^13 - 2 * q^14 + 10 * q^15 - 2 * q^16 + 14 * q^17 - 6 * q^18 - 6 * q^19 - 5 * q^20 + 3 * q^21 + 4 * q^22 + 15 * q^23 - 2 * q^24 - 20 * q^25 - 14 * q^26 - 2 * q^28 - 8 * q^29 - 5 * q^30 - 7 * q^31 + 8 * q^32 - 11 * q^33 - 21 * q^34 - q^36 + 14 * q^37 + 14 * q^38 - 4 * q^39 - 5 * q^40 + 3 * q^41 + 3 * q^42 - 6 * q^43 + 4 * q^44 - 10 * q^45 - 10 * q^46 + 2 * q^47 - 2 * q^48 + 8 * q^49 + 5 * q^50 + 14 * q^51 + 11 * q^52 + 4 * q^53 - 5 * q^54 + 20 * q^55 - 2 * q^56 - 36 * q^57 - 8 * q^58 + 11 * q^59 + 15 * q^60 + 13 * q^62 - q^63 - 2 * q^64 - 20 * q^65 + 24 * q^66 + 14 * q^67 + 14 * q^68 - 5 * q^69 + 5 * q^70 + 23 * q^71 + 4 * q^72 - 5 * q^73 - 36 * q^74 - 45 * q^75 - 16 * q^76 - q^77 + 6 * q^78 + 2 * q^79 + 5 * q^80 - 7 * q^81 - 12 * q^82 - 27 * q^83 - 2 * q^84 + 15 * q^85 + 4 * q^86 - 28 * q^87 - q^88 - 15 * q^89 - 5 * q^90 + 11 * q^91 - 10 * q^92 + 38 * q^93 + 2 * q^94 + 20 * q^95 + 3 * q^96 + 40 * q^97 - 2 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$3$	−0.169131	−	0.122881i	−0.0976476	−	0.0709451i	0.537890	−	0.843015i	$-0.319222\pi$
$3$	−0.169131	−	0.122881i	−0.0976476	−	0.0709451i	−0.635538	+	0.772070i	$0.719222\pi$
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	1.11803	−	1.93649i	0.500000	−	0.866025i
$5$	1.11803	−	1.93649i	0.500000	−	0.866025i
$6$	−0.169131	+	0.122881i	−0.0690473	+	0.0501658i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	−0.913545	−	2.81160i	−0.304515	−	0.937201i
$10$	−1.49622	−	1.66172i	−0.473147	−	0.525483i
$11$	−0.524676	+	1.61479i	−0.158196	+	0.486876i	−0.998471	−	0.0552842i	$-0.982394\pi$
$11$	−0.524676	+	1.61479i	−0.158196	+	0.486876i	0.840275	+	0.542161i	$0.182394\pi$
$12$	0.0646021	+	0.198825i	0.0186490	+	0.0573958i
$13$	−0.531579	−	1.63603i	−0.147434	−	0.453754i	0.849882	−	0.526973i	$-0.176673\pi$
$13$	−0.531579	−	1.63603i	−0.147434	−	0.453754i	−0.997316	+	0.0732185i	$0.976673\pi$
$14$	0.309017	−	0.951057i	0.0825883	−	0.254181i
$15$	−0.427051	+	0.190135i	−0.110264	+	0.0490927i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	0.417324	−	0.303204i	0.101216	−	0.0735377i	−0.536026	−	0.844201i	$-0.680075\pi$
$17$	0.417324	−	0.303204i	0.101216	−	0.0735377i	0.637242	+	0.770664i	$0.280075\pi$
$18$	−2.95630			−0.696805
$19$	1.45630	−	1.05806i	0.334097	−	0.242736i	−0.408070	−	0.912951i	$-0.633798\pi$
$19$	1.45630	−	1.05806i	0.334097	−	0.242736i	0.742167	+	0.670215i	$0.233798\pi$
$20$	−2.04275	+	0.909491i	−0.456773	+	0.203368i
$21$	−0.169131	−	0.122881i	−0.0369073	−	0.0268147i
$22$	1.37362	+	0.997993i	0.292857	+	0.212773i
$23$	0.986494	−	3.03612i	0.205698	−	0.633074i	−0.793986	−	0.607936i	$-0.791998\pi$
$23$	0.986494	−	3.03612i	0.205698	−	0.633074i	0.999684	−	0.0251379i	$-0.00800247\pi$
$24$	0.209057			0.0426736
$25$	−2.50000	−	4.33013i	−0.500000	−	0.866025i
$26$	−1.72023			−0.337364
$27$	−0.384789	+	1.18426i	−0.0740528	+	0.227911i
$28$	−0.809017	−	0.587785i	−0.152890	−	0.111081i
$29$	0.0180739	+	0.0131315i	0.00335624	+	0.00243845i	0.589462	−	0.807796i	$-0.299340\pi$
$29$	0.0180739	+	0.0131315i	0.00335624	+	0.00243845i	−0.586106	+	0.810234i	$0.699340\pi$
$30$	0.0488635	+	0.464905i	0.00892120	+	0.0848796i
$31$	−4.39908	+	3.19612i	−0.790099	+	0.574041i	−0.907993	−	0.418986i	$-0.862386\pi$
$31$	−4.39908	+	3.19612i	−0.790099	+	0.574041i	0.117894	+	0.993026i	$0.462386\pi$
$32$	1.00000			0.176777
$33$	0.287165	−	0.208637i	0.0499889	−	0.0363191i
$34$	−0.159404	−	0.490594i	−0.0273375	−	0.0841361i
$35$	1.11803	−	1.93649i	0.188982	−	0.327327i
$36$	−0.913545	+	2.81160i	−0.152258	+	0.468601i
$37$	−1.43395	−	4.41326i	−0.235741	−	0.725535i	−0.997022	−	0.0771138i	$-0.975430\pi$
$37$	−1.43395	−	4.41326i	−0.235741	−	0.725535i	0.761282	−	0.648421i	$-0.224570\pi$
$38$	−0.556255	−	1.71198i	−0.0902365	−	0.277719i
$39$	−0.111130	+	0.342024i	−0.0177951	+	0.0547677i
$40$	0.233733	+	2.22382i	0.0369564	+	0.351617i
$41$	1.76706	+	5.43844i	0.275968	+	0.849342i	0.988962	+	0.148172i	$0.0473388\pi$
$41$	1.76706	+	5.43844i	0.275968	+	0.849342i	−0.712994	+	0.701170i	$0.752661\pi$
$42$	−0.169131	+	0.122881i	−0.0260974	+	0.0189609i
$43$	7.41620			1.13096			0.565480	−	0.824762i	$-0.308691\pi$
$43$	7.41620			1.13096			0.565480	+	0.824762i	$0.308691\pi$
$44$	1.37362	−	0.997993i	0.207081	−	0.150453i
$45$	−6.46602	−	1.37440i	−0.963898	−	0.204883i
$46$	−2.58268	−	1.87642i	−0.380795	−	0.276664i
$47$	9.53424	+	6.92703i	1.39071	+	1.01041i	0.995787	+	0.0916975i	$0.0292293\pi$
$47$	9.53424	+	6.92703i	1.39071	+	1.01041i	0.394925	+	0.918714i	$0.370771\pi$
$48$	0.0646021	−	0.198825i	0.00932452	−	0.0286979i
$49$	1.00000			0.142857
$50$	−4.89074	+	1.03956i	−0.691655	+	0.147016i
$51$	−0.107840			−0.0151006
$52$	−0.531579	+	1.63603i	−0.0737168	+	0.226877i
$53$	6.27504	+	4.55908i	0.861943	+	0.626238i	0.928413	−	0.371550i	$-0.121174\pi$
$53$	6.27504	+	4.55908i	0.861943	+	0.626238i	−0.0664699	+	0.997788i	$0.521174\pi$
$54$	1.00739	+	0.731913i	0.137089	+	0.0996007i
$55$	2.54041	+	2.82142i	0.342549	+	0.380440i
$56$	−0.809017	+	0.587785i	−0.108109	+	0.0785461i
$57$	−0.376319			−0.0498447
$58$	0.0180739	−	0.0131315i	0.00237322	−	0.00172425i
$59$	0.971244	+	2.98918i	0.126445	+	0.389158i	0.994162	−	0.107901i	$-0.0344130\pi$
$59$	0.971244	+	2.98918i	0.126445	+	0.389158i	−0.867716	+	0.497060i	$0.834413\pi$
$60$	0.457250	+	0.0971915i	0.0590308	+	0.0125474i
$61$	−3.49856	+	10.7675i	−0.447944	+	1.37863i	0.431278	+	0.902219i	$0.358063\pi$
$61$	−3.49856	+	10.7675i	−0.447944	+	1.37863i	−0.879222	+	0.476412i	$0.841937\pi$
$62$	1.68030	+	5.17143i	0.213398	+	0.656773i
$63$	−0.913545	−	2.81160i	−0.115096	−	0.354229i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−3.76249	−	0.799742i	−0.466679	−	0.0991957i
$66$	−0.109687	−	0.337582i	−0.0135016	−	0.0415535i
$67$	6.72161	−	4.88353i	0.821175	−	0.596619i	−0.0958738	−	0.995393i	$-0.530565\pi$
$67$	6.72161	−	4.88353i	0.821175	−	0.596619i	0.917049	+	0.398775i	$0.130565\pi$
$68$	−0.515841			−0.0625549
$69$	−0.539926	+	0.392279i	−0.0649995	+	0.0472249i
$70$	−1.49622	−	1.66172i	−0.178833	−	0.198614i
$71$	9.06444	+	6.58570i	1.07575	+	0.781579i	0.976937	−	0.213527i	$-0.0684952\pi$
$71$	9.06444	+	6.58570i	1.07575	+	0.781579i	0.0988137	+	0.995106i	$0.468495\pi$
$72$	2.39169	+	1.73767i	0.281864	+	0.204786i
$73$	2.18497	−	6.72465i	0.255732	−	0.787061i	−0.737953	−	0.674852i	$-0.764207\pi$
$73$	2.18497	−	6.72465i	0.255732	−	0.787061i	0.993685	−	0.112209i	$-0.0357925\pi$
$74$	−4.64037			−0.539433
$75$	−0.109262	+	1.03956i	−0.0126165	+	0.120038i
$76$	−1.80008			−0.206483
$77$	−0.524676	+	1.61479i	−0.0597924	+	0.184022i
$78$	0.290943	+	0.211383i	0.0329428	+	0.0239344i
$79$	−5.92455	−	4.30444i	−0.666564	−	0.484287i	0.202309	−	0.979322i	$-0.435155\pi$
$79$	−5.92455	−	4.30444i	−0.666564	−	0.484287i	−0.868873	+	0.495035i	$0.835155\pi$
$80$	2.18720	+	0.464905i	0.244537	+	0.0519779i
$81$	−6.96448	+	5.05999i	−0.773831	+	0.562221i
$82$	5.71832			0.631482
$83$	−1.48347	+	1.07781i	−0.162832	+	0.118304i	−0.666217	−	0.745758i	$-0.732088\pi$
$83$	−1.48347	+	1.07781i	−0.162832	+	0.118304i	0.503385	+	0.864062i	$0.332088\pi$
$84$	0.0646021	+	0.198825i	0.00704867	+	0.0216936i
$85$	−0.120569	−	1.14714i	−0.0130775	−	0.124424i
$86$	2.29173	−	7.05323i	0.247124	−	0.760569i
$87$	−0.00144325	−	0.00444187i	−0.000154733	−	0.000476218i
$88$	−0.524676	−	1.61479i	−0.0559306	−	0.172137i
$89$	−2.35302	+	7.24186i	−0.249420	+	0.767636i	0.745458	+	0.666553i	$0.232231\pi$
$89$	−2.35302	+	7.24186i	−0.249420	+	0.767636i	−0.994878	+	0.101083i	$0.967769\pi$
$90$	−3.30524	+	5.72484i	−0.348403	+	0.603451i
$91$	−0.531579	−	1.63603i	−0.0557247	−	0.171503i
$92$	−2.58268	+	1.87642i	−0.269263	+	0.195631i
$93$	1.13676			0.117877
$94$	9.53424	−	6.92703i	0.983382	−	0.714469i
$95$	−0.420738	−	4.00305i	−0.0431668	−	0.410704i
$96$	−0.169131	−	0.122881i	−0.0172618	−	0.0125414i
$97$	2.33465	+	1.69622i	0.237048	+	0.172225i	0.699967	−	0.714175i	$-0.253198\pi$
$97$	2.33465	+	1.69622i	0.237048	+	0.172225i	−0.462919	+	0.886400i	$0.653198\pi$
$98$	0.309017	−	0.951057i	0.0312154	−	0.0960712i
$99$	5.01945			0.504474
$100$	−0.522642	+	4.97261i	−0.0522642	+	0.497261i
$101$	2.92482			0.291030			0.145515	−	0.989356i	$-0.453516\pi$
$101$	2.92482			0.291030			0.145515	+	0.989356i	$0.453516\pi$
$102$	−0.0333244	+	0.102562i	−0.00329961	+	0.0101552i
$103$	12.7934	+	9.29498i	1.26057	+	0.915861i	0.998786	−	0.0492640i	$-0.0156876\pi$
$103$	12.7934	+	9.29498i	1.26057	+	0.915861i	0.261789	+	0.965125i	$0.415688\pi$
$104$	1.39169	+	1.01112i	0.136467	+	0.0991489i
$105$	−0.427051	+	0.190135i	−0.0416759	+	0.0185553i
$106$	6.27504	−	4.55908i	0.609486	−	0.442817i
$107$	−0.649842			−0.0628226			−0.0314113	−	0.999507i	$-0.510000\pi$
$107$	−0.649842			−0.0628226			−0.0314113	+	0.999507i	$0.510000\pi$
$108$	1.00739	−	0.731913i	0.0969363	−	0.0704284i
$109$	−5.73968	−	17.6649i	−0.549762	−	1.69199i	−0.709391	−	0.704816i	$-0.751030\pi$
$109$	−5.73968	−	17.6649i	−0.549762	−	1.69199i	0.159629	−	0.987177i	$-0.448970\pi$
$110$	3.46836	−	1.54421i	0.330695	−	0.147235i
$111$	−0.299778	+	0.922622i	−0.0284537	+	0.0875714i
$112$	0.309017	+	0.951057i	0.0291994	+	0.0898664i
$113$	−1.31598	−	4.05018i	−0.123797	−	0.381009i	0.869883	−	0.493259i	$-0.164194\pi$
$113$	−1.31598	−	4.05018i	−0.123797	−	0.381009i	−0.993680	+	0.112250i	$0.964194\pi$
$114$	−0.116289	+	0.357901i	−0.0108915	+	0.0335205i
$115$	−4.77648	−	5.30482i	−0.445409	−	0.494677i
$116$	−0.00690362	−	0.0212472i	−0.000640985	−	0.00197275i
$117$	−4.11426	+	2.98918i	−0.380363	+	0.276350i
$118$	3.14301			0.289338
$119$	0.417324	−	0.303204i	0.0382560	−	0.0277946i
$120$	0.233733	−	0.404837i	0.0213368	−	0.0369564i
$121$	6.56694	+	4.77116i	0.596994	+	0.433742i
$122$	9.15934	+	6.65465i	0.829248	+	0.602484i
$123$	0.369416	−	1.13694i	0.0333091	−	0.102515i
$124$	5.43757			0.488308
$125$	−11.1803			−1.00000
$126$	−2.95630			−0.263368
$127$	0.487875	−	1.50152i	0.0432919	−	0.133239i	−0.927074	−	0.374877i	$-0.877685\pi$
$127$	0.487875	−	1.50152i	0.0432919	−	0.133239i	0.970366	+	0.241639i	$0.0776848\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	−1.25431	−	0.911307i	−0.110436	−	0.0802361i
$130$	−1.92327	+	3.33121i	−0.168682	+	0.292166i
$131$	−6.52780	+	4.74273i	−0.570337	+	0.414374i	−0.835227	−	0.549905i	$-0.814664\pi$
$131$	−6.52780	+	4.74273i	−0.570337	+	0.414374i	0.264891	+	0.964278i	$0.414664\pi$
$132$	−0.354955			−0.0308949
$133$	1.45630	−	1.05806i	0.126277	−	0.0917455i
$134$	−2.56743	−	7.90172i	−0.221792	−	0.682605i
$135$	1.86310	+	2.06918i	0.160350	+	0.178087i
$136$	−0.159404	+	0.490594i	−0.0136687	+	0.0420681i
$137$	−1.20995	−	3.72384i	−0.103373	−	0.318149i	0.885972	−	0.463738i	$-0.153492\pi$
$137$	−1.20995	−	3.72384i	−0.103373	−	0.318149i	−0.989345	+	0.145589i	$0.953492\pi$
$138$	0.206234	+	0.634721i	0.0175558	+	0.0540311i
$139$	−3.59888	+	11.0762i	−0.305253	+	0.939473i	0.674329	+	0.738431i	$0.264433\pi$
$139$	−3.59888	+	11.0762i	−0.305253	+	0.939473i	−0.979583	+	0.201042i	$0.935567\pi$
$140$	−2.04275	+	0.909491i	−0.172644	+	0.0768660i
$141$	−0.761334	−	2.34315i	−0.0641159	−	0.197328i
$142$	9.06444	−	6.58570i	0.760671	−	0.552660i
$143$	2.92075			0.244245
$144$	2.39169	−	1.73767i	0.199308	−	0.144806i
$145$	0.0456362	−	0.0203186i	0.00378988	−	0.00168736i
$146$	−5.72033	−	4.15606i	−0.473418	−	0.343958i
$147$	−0.169131	−	0.122881i	−0.0139497	−	0.0101350i
$148$	−1.43395	+	4.41326i	−0.117870	+	0.362768i
$149$	−19.3838			−1.58798			−0.793991	−	0.607929i	$-0.792000\pi$
$149$	−19.3838			−1.58798			−0.793991	+	0.607929i	$0.792000\pi$
$150$	0.954915	+	0.425156i	0.0779685	+	0.0347138i
$151$	−13.0943			−1.06560			−0.532800	−	0.846241i	$-0.678860\pi$
$151$	−13.0943			−1.06560			−0.532800	+	0.846241i	$0.678860\pi$
$152$	−0.556255	+	1.71198i	−0.0451183	+	0.138860i
$153$	−1.23373	−	0.896359i	−0.0997414	−	0.0724664i
$154$	1.37362	+	0.997993i	0.110689	+	0.0804205i
$155$	1.27094	+	12.0922i	0.102084	+	0.971266i
$156$	0.290943	−	0.211383i	0.0232941	−	0.0169241i
$157$	−22.0248			−1.75777			−0.878884	−	0.477035i	$-0.841711\pi$
$157$	−22.0248			−1.75777			−0.878884	+	0.477035i	$0.841711\pi$
$158$	−5.92455	+	4.30444i	−0.471332	+	0.342443i
$159$	−0.501078	−	1.54216i	−0.0397381	−	0.122301i
$160$	1.11803	−	1.93649i	0.0883883	−	0.153093i
$161$	0.986494	−	3.03612i	0.0777467	−	0.239280i
$162$	2.66019	+	8.18723i	0.209005	+	0.643250i
$163$	−4.44194	−	13.6709i	−0.347919	−	1.07079i	−0.960002	−	0.279992i	$-0.909668\pi$
$163$	−4.44194	−	13.6709i	−0.347919	−	1.07079i	0.612083	−	0.790794i	$-0.290332\pi$
$164$	1.76706	−	5.43844i	0.137984	−	0.424671i
$165$	−0.0829646	−	0.789355i	−0.00645879	−	0.0614512i
$166$	0.566636	+	1.74393i	0.0439795	+	0.135355i
$167$	−0.977392	+	0.710117i	−0.0756329	+	0.0549505i	−0.624959	−	0.780657i	$-0.714884\pi$
$167$	−0.977392	+	0.710117i	−0.0756329	+	0.0549505i	0.549326	+	0.835608i	$0.314884\pi$
$168$	0.209057			0.0161291
$169$	8.12319	−	5.90184i	0.624861	−	0.453988i
$170$	−1.12825	−	0.239817i	−0.0865328	−	0.0183931i
$171$	−4.30524	−	3.12794i	−0.329230	−	0.239199i
$172$	−5.99983	−	4.35914i	−0.457483	−	0.332381i
$173$	−2.62339	+	8.07397i	−0.199453	+	0.613853i	0.800443	+	0.599409i	$0.204598\pi$
$173$	−2.62339	+	8.07397i	−0.199453	+	0.613853i	−0.999896	+	0.0144436i	$0.995402\pi$
$174$	−0.00467046			−0.000354066
$175$	−2.50000	−	4.33013i	−0.188982	−	0.327327i
$176$	−1.69789			−0.127983
$177$	0.203045	−	0.624909i	0.0152618	−	0.0469710i
$178$	6.16030	+	4.47572i	0.461734	+	0.335469i
$179$	−6.22697	−	4.52416i	−0.465425	−	0.338151i	0.330230	−	0.943900i	$-0.392874\pi$
$179$	−6.22697	−	4.52416i	−0.465425	−	0.338151i	−0.795656	+	0.605749i	$0.792874\pi$
$180$	4.42327	+	4.91254i	0.329691	+	0.366159i
$181$	15.2360	−	11.0696i	1.13248	−	0.822797i	0.146429	−	0.989221i	$-0.453222\pi$
$181$	15.2360	−	11.0696i	1.13248	−	0.822797i	0.986054	+	0.166424i	$0.0532220\pi$
$182$	−1.72023			−0.127512
$183$	1.91482	−	1.39120i	0.141548	−	0.102841i
$184$	0.986494	+	3.03612i	0.0727253	+	0.223826i
$185$	−10.1494	−	2.15733i	−0.746202	−	0.158610i
$186$	0.351279	−	1.08112i	0.0257570	−	0.0792719i
$187$	0.270649	+	0.832973i	0.0197918	+	0.0609130i
$188$	−3.64175	−	11.2082i	−0.265602	−	0.817440i
$189$	−0.384789	+	1.18426i	−0.0279893	+	0.0861422i
$190$	−3.93714	−	0.836866i	−0.285630	−	0.0607126i
$191$	−0.124148	−	0.382087i	−0.00898301	−	0.0276469i	0.946465	−	0.322808i	$-0.104627\pi$
$191$	−0.124148	−	0.382087i	−0.00898301	−	0.0276469i	−0.955448	+	0.295161i	$0.904627\pi$
$192$	−0.169131	+	0.122881i	−0.0122060	+	0.00886814i
$193$	21.9367			1.57904			0.789520	−	0.613725i	$-0.210330\pi$
$193$	21.9367			1.57904			0.789520	+	0.613725i	$0.210330\pi$
$194$	2.33465	−	1.69622i	0.167618	−	0.121782i
$195$	0.538079	+	0.597598i	0.0385327	+	0.0427949i
$196$	−0.809017	−	0.587785i	−0.0577869	−	0.0419847i
$197$	−8.49431	−	6.17148i	−0.605195	−	0.439700i	0.242524	−	0.970145i	$-0.422025\pi$
$197$	−8.49431	−	6.17148i	−0.605195	−	0.439700i	−0.847719	+	0.530446i	$0.822025\pi$
$198$	1.55110	−	4.77378i	0.110232	−	0.339258i
$199$	−6.15215			−0.436114			−0.218057	−	0.975936i	$-0.569972\pi$
$199$	−6.15215			−0.436114			−0.218057	+	0.975936i	$0.569972\pi$
$200$	4.56773	+	2.03368i	0.322987	+	0.143803i
$201$	−1.73692			−0.122513
$202$	0.903818	−	2.78167i	0.0635924	−	0.195717i
$203$	0.0180739	+	0.0131315i	0.00126854	+	0.000921649i
$204$	0.0872445	+	0.0633868i	0.00610833	+	0.00443796i
$205$	12.5071	+	2.65847i	0.873536	+	0.185676i
$206$	12.7934	−	9.29498i	0.891361	−	0.647612i
$207$	−9.43757			−0.655956
$208$	1.39169	−	1.01112i	0.0964966	−	0.0701088i
$209$	0.944458	+	2.90674i	0.0653296	+	0.201064i
$210$	0.0488635	+	0.464905i	0.00337190	+	0.0320815i
$211$	−0.535948	+	1.64948i	−0.0368962	+	0.113555i	−0.967808	−	0.251688i	$-0.919014\pi$
$211$	−0.535948	+	1.64948i	−0.0368962	+	0.113555i	0.930912	+	0.365243i	$0.119014\pi$
$212$	−2.39685	−	7.37675i	−0.164616	−	0.506637i
$213$	−0.723819	−	2.22769i	−0.0495953	−	0.152639i
$214$	−0.200812	+	0.618036i	−0.0137272	+	0.0422481i
$215$	8.29157	−	14.3614i	0.565480	−	0.979440i
$216$	−0.384789	−	1.18426i	−0.0261816	−	0.0805787i
$217$	−4.39908	+	3.19612i	−0.298629	+	0.216967i
$218$	−18.5740			−1.25799
$219$	−1.19587	+	0.868854i	−0.0808097	+	0.0587117i
$220$	−0.396852	−	3.77579i	−0.0267557	−	0.254564i
$221$	−0.717892	−	0.521579i	−0.0482906	−	0.0350852i
$222$	0.784829	+	0.570212i	0.0526743	+	0.0382701i
$223$	8.16841	−	25.1398i	0.546997	−	1.68349i	−0.169195	−	0.985583i	$-0.554117\pi$
$223$	8.16841	−	25.1398i	0.546997	−	1.68349i	0.716193	−	0.697903i	$-0.245883\pi$
$224$	1.00000			0.0668153
$225$	−9.89074	+	10.9848i	−0.659383	+	0.732318i
$226$	−4.25861			−0.283279
$227$	−4.84858	+	14.9224i	−0.321811	+	0.990434i	0.651048	+	0.759037i	$0.274330\pi$
$227$	−4.84858	+	14.9224i	−0.321811	+	0.990434i	−0.972859	+	0.231397i	$0.925670\pi$
$228$	0.304449	+	0.221195i	0.0201626	+	0.0146490i
$229$	−14.7591	−	10.7231i	−0.975311	−	0.708605i	−0.0186553	−	0.999826i	$-0.505939\pi$
$229$	−14.7591	−	10.7231i	−0.975311	−	0.708605i	−0.956656	+	0.291221i	$0.905939\pi$
$230$	−6.52120	+	2.90342i	−0.429995	+	0.191446i
$231$	0.287165	−	0.208637i	0.0188940	−	0.0137273i
$232$	−0.0223406			−0.00146673
$233$	−18.8583	+	13.7014i	−1.23545	+	0.897606i	−0.997286	−	0.0736194i	$-0.976545\pi$
$233$	−18.8583	+	13.7014i	−1.23545	+	0.897606i	−0.238162	+	0.971225i	$0.576545\pi$
$234$	1.57151	+	4.83660i	0.102733	+	0.316178i
$235$	24.0737	−	10.7183i	1.57040	−	0.699186i
$236$	0.971244	−	2.98918i	0.0632226	−	0.194579i
$237$	0.473091	+	1.45602i	0.0307306	+	0.0945789i
$238$	−0.159404	−	0.490594i	−0.0103326	−	0.0318005i
$239$	−7.48109	+	23.0244i	−0.483911	+	1.48933i	0.349640	+	0.936884i	$0.386304\pi$
$239$	−7.48109	+	23.0244i	−0.483911	+	1.48933i	−0.833552	+	0.552442i	$0.813696\pi$
$240$	−0.312795	−	0.347395i	−0.0201909	−	0.0224242i
$241$	−1.79202	−	5.51528i	−0.115434	−	0.355270i	0.876603	−	0.481214i	$-0.159804\pi$
$241$	−1.79202	−	5.51528i	−0.115434	−	0.355270i	−0.992037	+	0.125944i	$0.959804\pi$
$242$	6.56694	−	4.77116i	0.422139	−	0.306702i
$243$	5.53529			0.355089
$244$	9.15934	−	6.65465i	0.586367	−	0.426020i
$245$	1.11803	−	1.93649i	0.0714286	−	0.123718i
$246$	−0.967142	−	0.702670i	−0.0616627	−	0.0448006i
$247$	−2.50516	−	1.82010i	−0.159399	−	0.115810i
$248$	1.68030	−	5.17143i	0.106699	−	0.328386i
$249$	0.383342			0.0242933
$250$	−3.45492	+	10.6331i	−0.218508	+	0.672499i
$251$	19.8173			1.25086			0.625428	−	0.780282i	$-0.284924\pi$
$251$	19.8173			1.25086			0.625428	+	0.780282i	$0.284924\pi$
$252$	−0.913545	+	2.81160i	−0.0575480	+	0.177114i
$253$	4.38509	+	3.18596i	0.275688	+	0.200299i
$254$	−1.27727	−	0.927993i	−0.0801432	−	0.0582274i
$255$	−0.120569	+	0.208831i	−0.00755032	+	0.0130775i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−4.36567			−0.272323			−0.136162	−	0.990687i	$-0.543477\pi$
$257$	−4.36567			−0.272323			−0.136162	+	0.990687i	$0.543477\pi$
$258$	−1.25431	+	0.911307i	−0.0780897	+	0.0567355i
$259$	−1.43395	−	4.41326i	−0.0891016	−	0.274227i
$260$	2.57384	+	2.85854i	0.159623	+	0.177279i
$261$	0.0204091	−	0.0628129i	0.00126329	−	0.00388802i
$262$	2.49340	+	7.67389i	0.154043	+	0.474095i
$263$	7.35670	+	22.6416i	0.453634	+	1.39614i	0.872732	+	0.488200i	$0.162346\pi$
$263$	7.35670	+	22.6416i	0.453634	+	1.39614i	−0.419098	+	0.907941i	$0.637654\pi$
$264$	−0.109687	+	0.337582i	−0.00675078	+	0.0207767i
$265$	15.8443	−	7.05435i	0.973310	−	0.433345i
$266$	−0.556255	−	1.71198i	−0.0341062	−	0.104968i
$267$	1.28785	−	0.935680i	0.0788153	−	0.0572627i
$268$	−8.30836			−0.507514
$269$	14.3090	−	10.3961i	0.872432	−	0.633859i	−0.0588062	−	0.998269i	$-0.518729\pi$
$269$	14.3090	−	10.3961i	0.872432	−	0.633859i	0.931239	+	0.364410i	$0.118729\pi$
$270$	2.54364	−	1.13250i	0.154801	−	0.0689219i
$271$	1.05577	+	0.767060i	0.0641333	+	0.0465956i	0.619390	−	0.785083i	$-0.287380\pi$
$271$	1.05577	+	0.767060i	0.0641333	+	0.0465956i	−0.555257	+	0.831679i	$0.687380\pi$
$272$	0.417324	+	0.303204i	0.0253040	+	0.0183844i
$273$	−0.111130	+	0.342024i	−0.00672592	+	0.0207002i
$274$	−3.91548			−0.236543
$275$	8.30392	−	1.76505i	0.500745	−	0.106437i
$276$	0.667386			0.0401719
$277$	7.70073	−	23.7004i	0.462692	−	1.42402i	−0.399170	−	0.916877i	$-0.630702\pi$
$277$	7.70073	−	23.7004i	0.462692	−	1.42402i	0.861862	−	0.507143i	$-0.169298\pi$
$278$	9.42199	+	6.84548i	0.565094	+	0.410565i
$279$	13.0050	+	9.44868i	0.778589	+	0.565678i
$280$	0.233733	+	2.22382i	0.0139682	+	0.132899i
$281$	7.80810	−	5.67291i	0.465792	−	0.338418i	−0.330007	−	0.943978i	$-0.607051\pi$
$281$	7.80810	−	5.67291i	0.465792	−	0.338418i	0.795799	+	0.605561i	$0.207051\pi$
$282$	−2.46373			−0.146713
$283$	−20.0994	+	14.6031i	−1.19479	+	0.868063i	−0.993762	−	0.111524i	$-0.964427\pi$
$283$	−20.0994	+	14.6031i	−1.19479	+	0.868063i	−0.201024	+	0.979586i	$0.564427\pi$
$284$	−3.46231	−	10.6559i	−0.205450	−	0.632310i
$285$	−0.420738	+	0.728739i	−0.0249223	+	0.0431668i
$286$	0.902562	−	2.77780i	0.0533696	−	0.164255i
$287$	1.76706	+	5.43844i	0.104306	+	0.321021i
$288$	−0.913545	−	2.81160i	−0.0538312	−	0.165675i
$289$	−5.17106	+	15.9149i	−0.304180	+	0.936170i
$290$	−0.00522173	−	0.0496814i	−0.000306630	−	0.00291739i
$291$	−0.186428	−	0.573766i	−0.0109286	−	0.0336347i
$292$	−5.72033	+	4.15606i	−0.334757	+	0.243215i
$293$	−8.29772			−0.484758			−0.242379	−	0.970182i	$-0.577928\pi$
$293$	−8.29772			−0.484758			−0.242379	+	0.970182i	$0.577928\pi$
$294$	−0.169131	+	0.122881i	−0.00986390	+	0.00716654i
$295$	6.87441	+	1.46120i	0.400244	+	0.0850744i
$296$	3.75414	+	2.72754i	0.218205	+	0.158535i
$297$	−1.71044	−	1.24271i	−0.0992496	−	0.0721091i
$298$	−5.98992	+	18.4351i	−0.346987	+	1.06792i
$299$	−5.49159			−0.317587
$300$	0.699432	−	0.776798i	0.0403817	−	0.0448484i
$301$	7.41620			0.427463
$302$	−4.04636	+	12.4534i	−0.232842	+	0.716614i
$303$	−0.494676	−	0.359403i	−0.0284184	−	0.0206472i
$304$	1.45630	+	1.05806i	0.0835243	+	0.0606839i
$305$	16.9396	+	18.8133i	0.969957	+	1.07725i
$306$	−1.23373	+	0.896359i	−0.0705278	+	0.0512415i
$307$	4.53411			0.258776			0.129388	−	0.991594i	$-0.458699\pi$
$307$	4.53411			0.258776			0.129388	+	0.991594i	$0.458699\pi$
$308$	1.37362	−	0.997993i	0.0782692	−	0.0568659i
$309$	−1.02159	−	3.14413i	−0.0581162	−	0.178863i
$310$	11.8931	+	2.52795i	0.675481	+	0.143578i
$311$	5.39704	−	16.6104i	0.306038	−	0.941888i	−0.673250	−	0.739415i	$-0.735102\pi$
$311$	5.39704	−	16.6104i	0.306038	−	0.941888i	0.979288	−	0.202473i	$-0.0648978\pi$
$312$	−0.111130	−	0.342024i	−0.00629152	−	0.0193633i
$313$	−0.289376	−	0.890609i	−0.0163565	−	0.0503402i	0.942545	−	0.334079i	$-0.108425\pi$
$313$	−0.289376	−	0.890609i	−0.0163565	−	0.0503402i	−0.958902	+	0.283739i	$0.908425\pi$
$314$	−6.80603	+	20.9468i	−0.384086	+	1.18210i
$315$	−6.46602	−	1.37440i	−0.364319	−	0.0774384i
$316$	2.26298	+	6.96473i	0.127302	+	0.391797i
$317$	10.6726	−	7.75408i	0.599432	−	0.435513i	−0.246245	−	0.969208i	$-0.579197\pi$
$317$	10.6726	−	7.75408i	0.599432	−	0.435513i	0.845677	+	0.533695i	$0.179197\pi$
$318$	−1.62152			−0.0909305
$319$	−0.0306875	+	0.0222958i	−0.00171817	+	0.00124832i
$320$	−1.49622	−	1.66172i	−0.0836413	−	0.0928931i
$321$	0.109908	+	0.0798529i	0.00613447	+	0.00445696i
$322$	−2.58268	−	1.87642i	−0.143927	−	0.104569i
$323$	0.286939	−	0.883108i	0.0159657	−	0.0491374i
$324$	8.60857			0.478254
$325$	−5.75528	+	6.39189i	−0.319246	+	0.354558i
$326$	−14.3744			−0.796125
$327$	−1.19992	+	3.69297i	−0.0663557	+	0.204222i
$328$	−4.62622	−	3.36114i	−0.255440	−	0.185588i
$329$	9.53424	+	6.92703i	0.525640	+	0.381899i
$330$	−0.776359	−	0.165020i	−0.0427372	−	0.00908406i
$331$	−19.9913	+	14.5245i	−1.09882	+	0.798341i	−0.980867	−	0.194678i	$-0.937634\pi$
$331$	−19.9913	+	14.5245i	−1.09882	+	0.798341i	−0.117955	+	0.993019i	$0.537634\pi$
$332$	1.83367			0.100636
$333$	−11.0984	+	8.06342i	−0.608186	+	0.441873i
$334$	0.373331	+	1.14899i	0.0204277	+	0.0628701i
$335$	−1.94194	−	18.4763i	−0.106099	−	1.00947i
$336$	0.0646021	−	0.198825i	0.00352434	−	0.0108468i
$337$	−0.626318	−	1.92761i	−0.0341177	−	0.105003i	0.932547	−	0.361048i	$-0.117581\pi$
$337$	−0.626318	−	1.92761i	−0.0341177	−	0.105003i	−0.966665	+	0.256044i	$0.917581\pi$
$338$	−3.10278	−	9.54939i	−0.168769	−	0.519418i
$339$	−0.275116	+	0.846718i	−0.0149422	+	0.0459874i
$340$	−0.576727	+	0.998921i	−0.0312774	+	0.0541741i
$341$	−2.85296	−	8.78051i	−0.154496	−	0.475491i
$342$	−4.30524	+	3.12794i	−0.232801	+	0.169140i
$343$	1.00000			0.0539949
$344$	−5.99983	+	4.35914i	−0.323489	+	0.235029i
$345$	0.155990	+	1.48414i	0.00839821	+	0.0799037i
$346$	6.86813	+	4.98999i	0.369233	+	0.268263i
$347$	1.83517	+	1.33333i	0.0985171	+	0.0715769i	0.635953	−	0.771728i	$-0.280607\pi$
$347$	1.83517	+	1.33333i	0.0985171	+	0.0715769i	−0.537436	+	0.843304i	$0.680607\pi$
$348$	−0.00144325	+	0.00444187i	−7.73663e−5	+	0.000238109i
$349$	2.16726			0.116011			0.0580054	−	0.998316i	$-0.481526\pi$
$349$	2.16726			0.116011			0.0580054	+	0.998316i	$0.481526\pi$
$350$	−4.89074	+	1.03956i	−0.261421	+	0.0555667i
$351$	2.14204			0.114333
$352$	−0.524676	+	1.61479i	−0.0279653	+	0.0860684i
$353$	18.5186	+	13.4546i	0.985646	+	0.716114i	0.958963	−	0.283530i	$-0.0915057\pi$
$353$	18.5186	+	13.4546i	0.985646	+	0.716114i	0.0266825	+	0.999644i	$0.491506\pi$
$354$	−0.531579	−	0.386215i	−0.0282531	−	0.0205271i
$355$	22.8875	−	10.1902i	1.21474	−	0.540838i
$356$	6.16030	−	4.47572i	0.326495	−	0.237213i
$357$	−0.107840			−0.00570750
$358$	−6.22697	+	4.52416i	−0.329105	+	0.239109i
$359$	6.69537	+	20.6062i	0.353368	+	1.08756i	0.956950	+	0.290254i	$0.0937399\pi$
$359$	6.69537	+	20.6062i	0.353368	+	1.08756i	−0.603581	+	0.797301i	$0.706260\pi$
$360$	6.03897	−	2.68872i	0.318282	−	0.141708i
$361$	−4.87002	+	14.9884i	−0.256317	+	0.788862i
$362$	−5.81964	−	17.9110i	−0.305873	−	0.941381i
$363$	−0.524387	−	1.61390i	−0.0275232	−	0.0847077i
$364$	−0.531579	+	1.63603i	−0.0278623	+	0.0857514i
$365$	−10.5794	−	11.7496i	−0.553749	−	0.615000i
$366$	−0.731398	−	2.25101i	−0.0382308	−	0.117662i
$367$	−1.55881	+	1.13254i	−0.0813693	+	0.0591183i	−0.627726	−	0.778434i	$-0.716014\pi$
$367$	−1.55881	+	1.13254i	−0.0813693	+	0.0591183i	0.546357	+	0.837552i	$0.316014\pi$
$368$	3.19236			0.166413
$369$	13.6765	−	9.93653i	0.711968	−	0.517275i
$370$	−5.18810	+	8.98605i	−0.269716	+	0.467162i
$371$	6.27504	+	4.55908i	0.325784	+	0.236696i
$372$	−0.919659	−	0.668171i	−0.0476821	−	0.0346431i
$373$	−1.78483	+	5.49314i	−0.0924150	+	0.284424i	−0.986571	−	0.163331i	$-0.947776\pi$
$373$	−1.78483	+	5.49314i	−0.0924150	+	0.284424i	0.894156	+	0.447755i	$0.147776\pi$
$374$	0.875839			0.0452886
$375$	1.89094	+	1.37385i	0.0976476	+	0.0709451i
$376$	−11.7850			−0.607763
$377$	0.0118758	−	0.0365500i	0.000611635	−	0.00188242i
$378$	1.00739	+	0.731913i	0.0518146	+	0.0376455i
$379$	28.1494	+	20.4517i	1.44594	+	1.05053i	0.986760	+	0.162190i	$0.0518557\pi$
$379$	28.1494	+	20.4517i	1.44594	+	1.05053i	0.459177	+	0.888345i	$0.348144\pi$
$380$	−2.01255	+	3.48584i	−0.103242	+	0.178820i
$381$	−0.267023	+	0.194003i	−0.0136800	+	0.00993909i
$382$	−0.401750			−0.0205553
$383$	−27.6385	+	20.0806i	−1.41226	+	1.02607i	−0.419275	+	0.907859i	$0.637716\pi$
$383$	−27.6385	+	20.0806i	−1.41226	+	1.02607i	−0.992989	+	0.118210i	$0.962284\pi$
$384$	0.0646021	+	0.198825i	0.00329671	+	0.0101462i
$385$	2.54041	+	2.82142i	0.129472	+	0.143793i
$386$	6.77882	−	20.8631i	0.345033	−	1.06190i
$387$	−6.77504	−	20.8514i	−0.344395	−	1.05994i
$388$	−0.891756	−	2.74454i	−0.0452721	−	0.139333i
$389$	1.49790	−	4.61007i	0.0759467	−	0.233740i	−0.905875	−	0.423545i	$-0.860786\pi$
$389$	1.49790	−	4.61007i	0.0759467	−	0.233740i	0.981822	+	0.189805i	$0.0607856\pi$
$390$	0.734625	−	0.327076i	0.0371992	−	0.0165621i
$391$	−0.508874	−	1.56615i	−0.0257349	−	0.0792038i
$392$	−0.809017	+	0.587785i	−0.0408615	+	0.0296876i
$393$	1.68684			0.0850898
$394$	−8.49431	+	6.17148i	−0.427937	+	0.310915i
$395$	−14.9594	+	6.66033i	−0.752687	+	0.335118i
$396$	−4.06082	−	2.95036i	−0.204064	−	0.148261i
$397$	−25.8757	−	18.7998i	−1.29867	−	0.943536i	−0.298724	−	0.954340i	$-0.596561\pi$
$397$	−25.8757	−	18.7998i	−1.29867	−	0.943536i	−0.999942	+	0.0108039i	$0.996561\pi$
$398$	−1.90112	+	5.85104i	−0.0952945	+	0.293286i
$399$	−0.376319			−0.0188395
$400$	3.34565	−	3.71572i	0.167283	−	0.185786i
$401$	35.6435			1.77995			0.889974	−	0.456010i	$-0.150722\pi$
$401$	35.6435			1.77995			0.889974	+	0.456010i	$0.150722\pi$
$402$	−0.536738	+	1.65191i	−0.0267701	+	0.0823898i
$403$	7.56743	+	5.49806i	0.376960	+	0.273878i
$404$	−2.36623	−	1.71916i	−0.117724	−	0.0855316i
$405$	2.01210	+	19.1439i	0.0999823	+	0.951268i
$406$	0.0180739	−	0.0131315i	0.000896994	−	0.000651704i
$407$	7.87883			0.390539
$408$	0.0872445	−	0.0633868i	0.00431924	−	0.00313811i
$409$	12.4202	+	38.2254i	0.614138	+	1.89012i	0.413683	+	0.910421i	$0.364242\pi$
$409$	12.4202	+	38.2254i	0.614138	+	1.89012i	0.200456	+	0.979703i	$0.435758\pi$
$410$	6.39327	−	11.0735i	0.315741	−	0.546880i
$411$	−0.252948	+	0.778495i	−0.0124770	+	0.0384003i
$412$	−4.88666	−	15.0396i	−0.240748	−	0.740947i
$413$	0.971244	+	2.98918i	0.0477918	+	0.147088i
$414$	−2.91637	+	8.97566i	−0.143332	+	0.441130i
$415$	0.428589	+	4.07775i	0.0210386	+	0.200169i
$416$	−0.531579	−	1.63603i	−0.0260628	−	0.0802131i
$417$	1.96973	−	1.43109i	0.0964582	−	0.0700810i
$418$	3.05633			0.149490
$419$	−5.14557	+	3.73847i	−0.251377	+	0.182636i	−0.706337	−	0.707876i	$-0.749654\pi$
$419$	−5.14557	+	3.73847i	−0.251377	+	0.182636i	0.454960	+	0.890512i	$0.349654\pi$
$420$	0.457250	+	0.0971915i	0.0223115	+	0.00474246i
$421$	−6.42662	−	4.66921i	−0.313214	−	0.227563i	0.420060	−	0.907496i	$-0.362009\pi$
$421$	−6.42662	−	4.66921i	−0.313214	−	0.227563i	−0.733274	+	0.679933i	$0.762009\pi$
$422$	1.40313	+	1.01943i	0.0683033	+	0.0496253i
$423$	10.7661	−	33.1347i	0.523466	−	1.61106i
$424$	−7.75638			−0.376683
$425$	−2.35622	−	1.04906i	−0.114293	−	0.0508867i
$426$	−2.34233			−0.113486
$427$	−3.49856	+	10.7675i	−0.169307	+	0.521073i
$428$	0.525733	+	0.381967i	0.0254123	+	0.0184631i
$429$	−0.493988	−	0.358904i	−0.0238500	−	0.0173280i
$430$	−11.0963	−	12.3237i	−0.535110	−	0.594300i
$431$	−11.6031	+	8.43013i	−0.558901	+	0.406065i	−0.831057	−	0.556188i	$-0.812263\pi$
$431$	−11.6031	+	8.43013i	−0.558901	+	0.406065i	0.272156	+	0.962253i	$0.412263\pi$
$432$	−1.24520			−0.0599099
$433$	−17.5400	+	12.7435i	−0.842917	+	0.612415i	−0.923184	−	0.384358i	$-0.874423\pi$
$433$	−17.5400	+	12.7435i	−0.842917	+	0.612415i	0.0802670	+	0.996773i	$0.474423\pi$
$434$	1.68030	+	5.17143i	0.0806570	+	0.248237i
$435$	−0.0102152	−	0.00217132i	−0.000489783	−	0.000104107i
$436$	−5.73968	+	17.6649i	−0.274881	+	0.845996i
$437$	−1.77577	−	5.46525i	−0.0849465	−	0.261439i
$438$	0.456783	+	1.40583i	0.0218260	+	0.0671734i
$439$	−2.09791	+	6.45671i	−0.100128	+	0.308162i	−0.988556	−	0.150854i	$-0.951798\pi$
$439$	−2.09791	+	6.45671i	−0.100128	+	0.308162i	0.888428	+	0.459016i	$0.151798\pi$
$440$	−3.71363	−	0.789355i	−0.177040	−	0.0376310i
$441$	−0.913545	−	2.81160i	−0.0435022	−	0.133886i
$442$	−0.717892	+	0.521579i	−0.0341466	+	0.0248090i
$443$	−17.0292			−0.809081			−0.404541	−	0.914520i	$-0.632569\pi$
$443$	−17.0292			−0.809081			−0.404541	+	0.914520i	$0.632569\pi$
$444$	0.784829	−	0.570212i	0.0372464	−	0.0270611i
$445$	11.3930	+	12.6533i	0.540082	+	0.599822i
$446$	−21.3852	−	15.5372i	−1.01262	−	0.735710i
$447$	3.27839	+	2.38189i	0.155063	+	0.112660i
$448$	0.309017	−	0.951057i	0.0145997	−	0.0449332i
$449$	7.20208			0.339887			0.169944	−	0.985454i	$-0.445641\pi$
$449$	7.20208			0.339887			0.169944	+	0.985454i	$0.445641\pi$
$450$	7.39074	+	12.8011i	0.348403	+	0.603451i
$451$	−9.70905			−0.457182
$452$	−1.31598	+	4.05018i	−0.0618987	+	0.190505i
$453$	2.21465	+	1.60904i	0.104053	+	0.0755991i
$454$	12.6937	+	9.22254i	0.595747	+	0.432835i
$455$	−3.76249	−	0.799742i	−0.176388	−	0.0374925i
$456$	0.304449	−	0.221195i	0.0142571	−	0.0103584i
$457$	16.0022			0.748553			0.374276	−	0.927317i	$-0.377891\pi$
$457$	16.0022			0.748553			0.374276	+	0.927317i	$0.377891\pi$
$458$	−14.7591	+	10.7231i	−0.689649	+	0.501059i
$459$	0.198490	+	0.610890i	0.00926472	+	0.0285139i
$460$	0.746160	+	7.09924i	0.0347899	+	0.331004i
$461$	8.23459	−	25.3434i	0.383523	−	1.18036i	−0.554023	−	0.832501i	$-0.686908\pi$
$461$	8.23459	−	25.3434i	0.383523	−	1.18036i	0.937546	−	0.347861i	$-0.113092\pi$
$462$	−0.109687	−	0.337582i	−0.00510311	−	0.0157057i
$463$	−12.5831	−	38.7268i	−0.584786	−	1.79979i	−0.600127	−	0.799905i	$-0.704883\pi$
$463$	−12.5831	−	38.7268i	−0.584786	−	1.79979i	0.0153405	−	0.999882i	$-0.495117\pi$
$464$	−0.00690362	+	0.0212472i	−0.000320493	+	0.000986375i
$465$	1.27094	−	2.20133i	0.0589383	−	0.102084i
$466$	7.20323	+	22.1693i	0.333683	+	1.02697i
$467$	13.8458	−	10.0595i	0.640705	−	0.465500i	−0.219387	−	0.975638i	$-0.570406\pi$
$467$	13.8458	−	10.0595i	0.640705	−	0.465500i	0.860092	+	0.510138i	$0.170406\pi$
$468$	5.08550			0.235077
$469$	6.72161	−	4.88353i	0.310375	−	0.225501i
$470$	−2.75453	−	26.2076i	−0.127057	−	1.20887i
$471$	3.72506	+	2.70642i	0.171642	+	0.124705i
$472$	−2.54275	−	1.84742i	−0.117040	−	0.0850342i
$473$	−3.89110	+	11.9756i	−0.178913	+	0.550638i
$474$	1.53095			0.0703191
$475$	−8.22227	−	3.66079i	−0.377264	−	0.167969i
$476$	−0.515841			−0.0236435
$477$	7.08580	−	21.8079i	0.324437	−	0.998513i
$478$	19.5857	+	14.2299i	0.895831	+	0.650859i
$479$	11.0320	+	8.01522i	0.504065	+	0.366225i	0.810568	−	0.585645i	$-0.199159\pi$
$479$	11.0320	+	8.01522i	0.504065	+	0.366225i	−0.306502	+	0.951870i	$0.599159\pi$
$480$	−0.427051	+	0.190135i	−0.0194921	+	0.00867845i
$481$	−6.45798	+	4.69200i	−0.294458	+	0.213937i
$482$	−5.79910			−0.264142
$483$	−0.539926	+	0.392279i	−0.0245675	+	0.0178493i
$484$	−2.50835	−	7.71990i	−0.114016	−	0.350904i
$485$	5.89493	−	2.62459i	0.267675	−	0.119177i
$486$	1.71050	−	5.26438i	0.0775899	−	0.238797i
$487$	−9.99742	−	30.7689i	−0.453026	−	1.39427i	−0.873437	−	0.486937i	$-0.838114\pi$
$487$	−9.99742	−	30.7689i	−0.453026	−	1.39427i	0.420411	−	0.907334i	$-0.361886\pi$
$488$	−3.49856	−	10.7675i	−0.158372	−	0.487420i
$489$	−0.928618	+	2.85799i	−0.0419935	+	0.129243i
$490$	−1.49622	−	1.66172i	−0.0675924	−	0.0750690i
$491$	−9.95749	−	30.6460i	−0.449375	−	1.38303i	−0.877614	−	0.479369i	$-0.840866\pi$
$491$	−9.95749	−	30.6460i	−0.449375	−	1.38303i	0.428238	−	0.903666i	$-0.359134\pi$
$492$	−0.967142	+	0.702670i	−0.0436021	+	0.0316788i
$493$	0.0115242			0.000519023
$494$	−2.50516	+	1.82010i	−0.112712	+	0.0818904i
$495$	5.61192	−	9.72013i	0.252237	−	0.436887i
$496$	−4.39908	−	3.19612i	−0.197525	−	0.143510i
$497$	9.06444	+	6.58570i	0.406596	+	0.295409i
$498$	0.118459	−	0.364580i	0.00530828	−	0.0163372i
$499$	−26.1728			−1.17166			−0.585828	−	0.810435i	$-0.699231\pi$
$499$	−26.1728			−1.17166			−0.585828	+	0.810435i	$0.699231\pi$
$500$	9.04508	+	6.57164i	0.404508	+	0.293893i
$501$	0.252567			0.0112838
$502$	6.12388	−	18.8474i	0.273322	−	0.841199i
$503$	−24.3045	−	17.6583i	−1.08369	−	0.787344i	−0.105364	−	0.994434i	$-0.533601\pi$
$503$	−24.3045	−	17.6583i	−1.08369	−	0.787344i	−0.978322	+	0.207090i	$0.933601\pi$
$504$	2.39169	+	1.73767i	0.106534	+	0.0774018i
$505$	3.27005	−	5.66389i	0.145515	−	0.252040i
$506$	4.38509	−	3.18596i	0.194941	−	0.141633i
$507$	−2.09910			−0.0932244
$508$	−1.27727	+	0.927993i	−0.0566698	+	0.0411730i
$509$	−13.6493	−	42.0084i	−0.604997	−	1.86199i	−0.496814	−	0.867857i	$-0.665497\pi$
$509$	−13.6493	−	42.0084i	−0.604997	−	1.86199i	−0.108183	−	0.994131i	$-0.534503\pi$
$510$	0.161353	+	0.179200i	0.00714482	+	0.00793512i
$511$	2.18497	−	6.72465i	0.0966574	−	0.297481i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	0.692652	+	2.13176i	0.0305813	+	0.0941196i
$514$	−1.34907	+	4.15200i	−0.0595048	+	0.183137i
$515$	32.3031	−	14.3823i	1.42345	−	0.633759i
$516$	0.479103	+	1.47453i	0.0210913	+	0.0649124i
$517$	−16.1881	+	11.7613i	−0.711950	+	0.517262i
$518$	−4.64037			−0.203886
$519$	1.43583	−	1.04319i	0.0630260	−	0.0457910i
$520$	3.51399	−	1.56453i	0.154099	−	0.0686092i
$521$	0.304670	+	0.221355i	0.0133478	+	0.00969776i	0.594439	−	0.804141i	$-0.297374\pi$
$521$	0.304670	+	0.221355i	0.0133478	+	0.00969776i	−0.581091	+	0.813838i	$0.697374\pi$
$522$	−0.0534318	−	0.0388205i	−0.00233865	−	0.00169913i
$523$	−0.116000	+	0.357013i	−0.00507235	+	0.0156111i	−0.953561	−	0.301201i	$-0.902612\pi$
$523$	−0.116000	+	0.357013i	−0.00507235	+	0.0156111i	0.948488	+	0.316812i	$0.102612\pi$
$524$	8.06881			0.352487
$525$	−0.109262	+	1.03956i	−0.00476858	+	0.0453701i
$526$	23.8068			1.03802
$527$	−0.866768	+	2.66764i	−0.0377570	+	0.116204i
$528$	0.287165	+	0.208637i	0.0124972	+	0.00907977i
$529$	10.3626	+	7.52883i	0.450546	+	0.327341i
$530$	−1.81292	−	17.2488i	−0.0787482	−	0.749239i
$531$	7.51712	−	5.46151i	0.326215	−	0.237009i
$532$	−1.80008			−0.0780434
$533$	7.95814	−	5.78193i	0.344705	−	0.250443i
$534$	−0.491916	−	1.51396i	−0.0212873	−	0.0655155i
$535$	−0.726545	+	1.25841i	−0.0314113	+	0.0544059i
$536$	−2.56743	+	7.90172i	−0.110896	+	0.341302i
$537$	0.497240	+	1.53035i	0.0214575	+	0.0660393i
$538$	−5.46553	−	16.8212i	−0.235636	−	0.725213i
$539$	−0.524676	+	1.61479i	−0.0225994	+	0.0695538i
$540$	−0.291045	−	2.76911i	−0.0125246	−	0.119163i
$541$	−4.45465	−	13.7100i	−0.191520	−	0.589439i	−1.00000		0.000914509i	$-0.999709\pi$
$541$	−4.45465	−	13.7100i	−0.191520	−	0.589439i	0.808479	−	0.588525i	$-0.200291\pi$
$542$	1.05577	−	0.767060i	0.0453491	−	0.0329480i
$543$	−3.93711			−0.168958
$544$	0.417324	−	0.303204i	0.0178926	−	0.0129997i
$545$	−40.6251	−	8.63514i	−1.74019	−	0.369889i
$546$	0.290943	+	0.211383i	0.0124512	+	0.00904634i
$547$	−6.16391	−	4.47834i	−0.263550	−	0.191480i	0.448161	−	0.893953i	$-0.352079\pi$
$547$	−6.16391	−	4.47834i	−0.263550	−	0.191480i	−0.711710	+	0.702473i	$0.752079\pi$
$548$	−1.20995	+	3.72384i	−0.0516865	+	0.159075i
$549$	33.4699			1.42846
$550$	0.887387	−	8.44293i	0.0378383	−	0.360008i
$551$	0.0402149			0.00171321
$552$	0.206234	−	0.634721i	0.00877788	−	0.0270155i
$553$	−5.92455	−	4.30444i	−0.251938	−	0.183043i
$554$	−20.1608	−	14.6477i	−0.856549	−	0.622320i
$555$	1.45149	+	1.61204i	0.0616122	+	0.0684273i
$556$	9.42199	−	6.84548i	0.399582	−	0.290313i
$557$	26.8286			1.13676			0.568382	−	0.822765i	$-0.307570\pi$
$557$	26.8286			1.13676			0.568382	+	0.822765i	$0.307570\pi$
$558$	13.0050	−	9.44868i	0.550545	−	0.399995i
$559$	−3.94230	−	12.1332i	−0.166742	−	0.513178i
$560$	2.18720	+	0.464905i	0.0924263	+	0.0196458i
$561$	0.0565811	−	0.174139i	0.00238886	−	0.00735214i
$562$	−2.98243	−	9.17897i	−0.125806	−	0.387191i
$563$	−6.45715	−	19.8731i	−0.272136	−	0.837550i	−0.989963	−	0.141328i	$-0.954863\pi$
$563$	−6.45715	−	19.8731i	−0.272136	−	0.837550i	0.717827	−	0.696222i	$-0.245137\pi$
$564$	−0.761334	+	2.34315i	−0.0320579	+	0.0986642i
$565$	−9.31446	−	1.97985i	−0.391862	−	0.0832929i
$566$	7.67729	+	23.6283i	0.322701	+	0.993170i
$567$	−6.96448	+	5.05999i	−0.292481	+	0.212500i
$568$	−11.2043			−0.470120
$569$	11.8552	−	8.61334i	0.496998	−	0.361090i	−0.310871	−	0.950452i	$-0.600621\pi$
$569$	11.8552	−	8.61334i	0.496998	−	0.361090i	0.807869	+	0.589362i	$0.200621\pi$
$570$	0.563057	+	0.625338i	0.0235839	+	0.0261925i
$571$	−27.5441	−	20.0120i	−1.15269	−	0.837475i	−0.163850	−	0.986485i	$-0.552391\pi$
$571$	−27.5441	−	20.0120i	−1.15269	−	0.837475i	−0.988836	+	0.149010i	$0.952391\pi$
$572$	−2.36294	−	1.71677i	−0.0987994	−	0.0717819i
$573$	−0.0259539	+	0.0798780i	−0.00108424	+	0.00333695i
$574$	5.71832			0.238678
$575$	−15.6130	+	3.31865i	−0.651108	+	0.138397i
$576$	−2.95630			−0.123179
$577$	−11.8624	+	36.5087i	−0.493838	+	1.51988i	0.324923	+	0.945741i	$0.394662\pi$
$577$	−11.8624	+	36.5087i	−0.493838	+	1.51988i	−0.818760	+	0.574135i	$0.805338\pi$
$578$	13.5380	+	9.83594i	0.563107	+	0.409121i
$579$	−3.71017	−	2.69560i	−0.154189	−	0.112025i
$580$	−0.0488635	−	0.0103862i	−0.00202894	−	0.000431265i
$581$	−1.48347	+	1.07781i	−0.0615448	+	0.0447149i
$582$	−0.603293			−0.0250073
$583$	−10.6543	+	7.74081i	−0.441256	+	0.320591i
$584$	2.18497	+	6.72465i	0.0904148	+	0.278268i
$585$	1.18865	+	11.3092i	0.0491445	+	0.467579i
$586$	−2.56414	+	7.89160i	−0.105923	+	0.325999i
$587$	11.4363	+	35.1974i	0.472028	+	1.45275i	0.849925	+	0.526904i	$0.176647\pi$
$587$	11.4363	+	35.1974i	0.472028	+	1.45275i	−0.377897	+	0.925848i	$0.623353\pi$
$588$	0.0646021	+	0.198825i	0.00266415	+	0.00819940i
$589$	−3.02468	+	9.30899i	−0.124630	+	0.383570i
$590$	3.51399	−	6.08642i	0.144669	−	0.250574i
$591$	0.678293	+	2.08757i	0.0279013	+	0.0858712i
$592$	3.75414	−	2.72754i	0.154294	−	0.112101i
$593$	−23.8562			−0.979657			−0.489828	−	0.871819i	$-0.662941\pi$
$593$	−23.8562			−0.979657			−0.489828	+	0.871819i	$0.662941\pi$
$594$	−1.71044	+	1.24271i	−0.0701801	+	0.0509888i
$595$	−0.120569	−	1.14714i	−0.00494284	−	0.0470280i
$596$	15.6818	+	11.3935i	0.642352	+	0.466696i
$597$	1.04052	+	0.755980i	0.0425855	+	0.0309402i
$598$	−1.69699	+	5.22281i	−0.0693953	+	0.213577i
$599$	−46.3872			−1.89533			−0.947666	−	0.319265i	$-0.896564\pi$
$599$	−46.3872			−1.89533			−0.947666	+	0.319265i	$0.896564\pi$
$600$	−0.522642	−	0.905243i	−0.0213368	−	0.0369564i
$601$	24.0839			0.982401			0.491201	−	0.871046i	$-0.336558\pi$
$601$	24.0839			0.982401			0.491201	+	0.871046i	$0.336558\pi$
$602$	2.29173	−	7.05323i	0.0934041	−	0.287468i
$603$	−19.8711	−	14.4372i	−0.809212	−	0.587927i
$604$	10.5935	+	7.69664i	0.431044	+	0.313172i
$605$	16.5814	−	7.38250i	0.674129	−	0.300141i
$606$	−0.494676	+	0.359403i	−0.0200948	+	0.0145998i
$607$	15.4356			0.626512			0.313256	−	0.949669i	$-0.398580\pi$
$607$	15.4356			0.626512			0.313256	+	0.949669i	$0.398580\pi$
$608$	1.45630	−	1.05806i	0.0590606	−	0.0429100i
$609$	−0.00144325	−	0.00444187i	−5.84835e−5	−	0.000179994i
$610$	23.1271	−	10.2969i	0.936390	−	0.416908i
$611$	6.26465	−	19.2806i	0.253440	−	0.780009i
$612$	0.471244	+	1.45034i	0.0190489	+	0.0586265i
$613$	8.79506	+	27.0684i	0.355229	+	1.09328i	0.955877	+	0.293769i	$0.0949095\pi$
$613$	8.79506	+	27.0684i	0.355229	+	1.09328i	−0.600648	+	0.799514i	$0.705090\pi$
$614$	1.40112	−	4.31220i	0.0565445	−	0.174026i
$615$	−1.78866	−	1.98651i	−0.0721259	−	0.0801039i
$616$	−0.524676	−	1.61479i	−0.0211398	−	0.0650616i
$617$	−26.8121	+	19.4802i	−1.07942	+	0.784242i	−0.977581	−	0.210560i	$-0.932471\pi$
$617$	−26.8121	+	19.4802i	−1.07942	+	0.784242i	−0.101835	+	0.994801i	$0.532471\pi$
$618$	−3.30593			−0.132984
$619$	−10.0829	+	7.32568i	−0.405267	+	0.294444i	−0.771683	−	0.636007i	$-0.780585\pi$
$619$	−10.0829	+	7.32568i	−0.405267	+	0.294444i	0.366416	+	0.930451i	$0.380585\pi$
$620$	6.07939	−	10.5298i	0.244154	−	0.422887i
$621$	3.21596	+	2.33653i	0.129052	+	0.0937618i
$622$	−14.1296	−	10.2658i	−0.566547	−	0.411620i
$623$	−2.35302	+	7.24186i	−0.0942719	+	0.290139i
$624$	−0.359625			−0.0143965
$625$	−12.5000	+	21.6506i	−0.500000	+	0.866025i
$626$	−0.936442			−0.0374277
$627$	0.197446	−	0.607675i	0.00788522	−	0.0242682i
$628$	17.8184	+	12.9458i	0.711032	+	0.516595i
$629$	−1.93654	−	1.40698i	−0.0772149	−	0.0560999i
$630$	−3.30524	+	5.72484i	−0.131684	+	0.228083i
$631$	−27.9957	+	20.3401i	−1.11449	+	0.809725i	−0.983365	−	0.181641i	$-0.941859\pi$
$631$	−27.9957	+	20.3401i	−1.11449	+	0.809725i	−0.131126	+	0.991366i	$0.541859\pi$
$632$	7.32315			0.291299
$633$	0.293334	−	0.213120i	0.0116590	−	0.00847075i
$634$	−4.07656	−	12.5464i	−0.161901	−	0.498280i
$635$	−2.36223	−	2.62352i	−0.0937422	−	0.104111i
$636$	−0.501078	+	1.54216i	−0.0198691	+	0.0611507i
$637$	−0.531579	−	1.63603i	−0.0210619	−	0.0648220i
$638$	0.0117216	+	0.0360753i	0.000464061	+	0.00142823i
$639$	10.2356	−	31.5019i	0.404914	−	1.24620i
$640$	−2.04275	+	0.909491i	−0.0807468	+	0.0359508i
$641$	8.37741	+	25.7830i	0.330888	+	1.01837i	0.968712	+	0.248186i	$0.0798345\pi$
$641$	8.37741	+	25.7830i	0.330888	+	1.01837i	−0.637824	+	0.770182i	$0.720165\pi$
$642$	0.109908	−	0.0798529i	0.00433773	−	0.00315154i
$643$	11.3030			0.445745			0.222873	−	0.974848i	$-0.428457\pi$
$643$	11.3030			0.445745			0.222873	+	0.974848i	$0.428457\pi$
$644$	−2.58268	+	1.87642i	−0.101772	+	0.0739415i
$645$	−3.16710	+	1.41008i	−0.124704	+	0.0555219i
$646$	−0.751216	−	0.545791i	−0.0295562	−	0.0214738i
$647$	23.6817	+	17.2057i	0.931022	+	0.676427i	0.946243	−	0.323457i	$-0.104845\pi$
$647$	23.6817	+	17.2057i	0.931022	+	0.676427i	−0.0152210	+	0.999884i	$0.504845\pi$
$648$	2.66019	−	8.18723i	0.104502	−	0.321625i
$649$	−5.33648			−0.209475
$650$	4.30057	+	7.44880i	0.168682	+	0.292166i
$651$	1.13676			0.0445532
$652$	−4.44194	+	13.6709i	−0.173960	+	0.535393i
$653$	37.9425	+	27.5668i	1.48480	+	1.07877i	0.975969	+	0.217908i	$0.0699233\pi$
$653$	37.9425	+	27.5668i	1.48480	+	1.07877i	0.508834	+	0.860865i	$0.330077\pi$
$654$	3.14143	+	2.28238i	0.122840	+	0.0892483i
$655$	1.88594	+	17.9436i	0.0736899	+	0.701113i
$656$	−4.62622	+	3.36114i	−0.180623	+	0.131231i
$657$	−20.9031			−0.815509
$658$	9.53424	−	6.92703i	0.371683	−	0.270044i
$659$	−1.33422	−	4.10631i	−0.0519738	−	0.159959i	0.921701	−	0.387902i	$-0.126800\pi$
$659$	−1.33422	−	4.10631i	−0.0519738	−	0.159959i	−0.973675	+	0.227943i	$0.926800\pi$
$660$	−0.396852	+	0.687367i	−0.0154474	+	0.0267557i
$661$	−7.71627	+	23.7482i	−0.300128	+	0.923699i	0.681322	+	0.731984i	$0.261405\pi$
$661$	−7.71627	+	23.7482i	−0.300128	+	0.923699i	−0.981450	+	0.191716i	$0.938595\pi$
$662$	7.63601	+	23.5012i	0.296782	+	0.913400i
$663$	0.0573256	+	0.176430i	0.00222634	+	0.00685197i
$664$	0.566636	−	1.74393i	0.0219897	−	0.0676774i
$665$	−0.420738	−	4.00305i	−0.0163155	−	0.155232i
$666$	4.23919	+	13.0469i	0.164265	+	0.505557i
$667$	0.0576985	−	0.0419204i	0.00223410	−	0.00162317i
$668$	1.20812			0.0467437
$669$	−4.47072	+	3.24817i	−0.172848	+	0.125581i
$670$	−18.1721	−	3.86260i	−0.702049	−	0.149225i
$671$	−15.5515	−	11.2988i	−0.600360	−	0.436187i
$672$	−0.169131	−	0.122881i	−0.00652435	−	0.00474022i
$673$	4.77985	−	14.7109i	0.184250	−	0.567062i	−0.815685	−	0.578496i	$-0.803640\pi$
$673$	4.77985	−	14.7109i	0.184250	−	0.567062i	0.999935	+	0.0114344i	$0.00363977\pi$
$674$	−2.02681			−0.0780697
$675$	6.08997	−	1.29446i	0.234403	−	0.0498239i
$676$	−10.0408			−0.386185
$677$	10.1234	−	31.1566i	0.389073	−	1.19744i	−0.544409	−	0.838820i	$-0.683246\pi$
$677$	10.1234	−	31.1566i	0.389073	−	1.19744i	0.933482	−	0.358624i	$-0.116754\pi$
$678$	0.720262	+	0.523301i	0.0276615	+	0.0200972i
$679$	2.33465	+	1.69622i	0.0895956	+	0.0650950i
$680$	0.771812	+	0.857184i	0.0295976	+	0.0328715i
$681$	2.65371	−	1.92804i	0.101691	−	0.0738825i
$682$	−9.23237			−0.353526
$683$	−22.7086	+	16.4988i	−0.868920	+	0.631307i	−0.930297	−	0.366807i	$-0.880451\pi$
$683$	−22.7086	+	16.4988i	−0.868920	+	0.631307i	0.0613771	+	0.998115i	$0.480451\pi$
$684$	1.64445	+	5.06111i	0.0628773	+	0.193516i
$685$	−8.56395	−	1.82032i	−0.327212	−	0.0695510i
$686$	0.309017	−	0.951057i	0.0117983	−	0.0363115i
$687$	1.17856	+	3.62722i	0.0449647	+	0.138387i
$688$	2.29173	+	7.05323i	0.0873715	+	0.268902i
$689$	4.12313	−	12.6897i	0.157079	−	0.483439i
$690$	1.45971	+	0.310271i	0.0555702	+	0.0118118i
$691$	−7.80134	−	24.0101i	−0.296777	−	0.913386i	−0.982619	−	0.185635i	$-0.940566\pi$
$691$	−7.80134	−	24.0101i	−0.296777	−	0.913386i	0.685842	−	0.727751i	$-0.259434\pi$
$692$	6.86813	−	4.98999i	0.261087	−	0.189691i
$693$	5.01945			0.190673
$694$	1.83517	−	1.33333i	0.0696621	−	0.0506125i
$695$	17.4253	+	19.3528i	0.660981	+	0.734093i
$696$	0.00377848	+	0.00274523i	0.000143223	+	0.000104057i
$697$	2.38639	+	1.73381i	0.0903910	+	0.0656729i
$698$	0.669721	−	2.06119i	0.0253493	−	0.0780171i
$699$	4.87315			0.184319
$700$	−0.522642	+	4.97261i	−0.0197540	+	0.187947i
$701$	−5.40800			−0.204257			−0.102129	−	0.994771i	$-0.532565\pi$
$701$	−5.40800			−0.204257			−0.102129	+	0.994771i	$0.532565\pi$
$702$	0.661925	−	2.03720i	0.0249828	−	0.0768890i
$703$	−6.75776	−	4.90980i	−0.254874	−	0.185176i
$704$	1.37362	+	0.997993i	0.0517702	+	0.0376133i
$705$	−5.38868	−	1.14540i	−0.202949	−	0.0431382i
$706$	18.5186	−	13.4546i	0.696957	−	0.506369i
$707$	2.92482			0.109999
$708$	−0.531579	+	0.386215i	−0.0199780	+	0.0145149i
$709$	−10.8321	−	33.3377i	−0.406807	−	1.25202i	−0.919377	−	0.393379i	$-0.871306\pi$
$709$	−10.8321	−	33.3377i	−0.406807	−	1.25202i	0.512569	−	0.858646i	$-0.328694\pi$
$710$	−2.61880	−	24.9162i	−0.0982819	−	0.935090i
$711$	−6.69003	+	20.5898i	−0.250896	+	0.772177i
$712$	−2.35302	−	7.24186i	−0.0881833	−	0.271400i
$713$	5.36413	+	16.5091i	0.200888	+	0.618271i
$714$	−0.0333244	+	0.102562i	−0.00124714	+	0.00383829i
$715$	3.26550	−	5.65601i	0.122123	−	0.211523i
$716$	2.37849	+	7.32024i	0.0888883	+	0.273570i
$717$	4.09453	−	2.97485i	0.152913	−	0.111098i
$718$	21.6667			0.808593
$719$	−0.00644398	+	0.00468183i	−0.000240320	+	0.000174603i	−0.587905	−	0.808930i	$-0.700047\pi$
$719$	−0.00644398	+	0.00468183i	−0.000240320	+	0.000174603i	0.587665	+	0.809104i	$0.300047\pi$
$720$	−0.690983	−	6.57426i	−0.0257514	−	0.245008i
$721$	12.7934	+	9.29498i	0.476452	+	0.346163i
$722$	12.7499	+	9.26333i	0.474501	+	0.344745i
$723$	−0.374635	+	1.15301i	−0.0139328	+	0.0428808i
$724$	−18.8327			−0.699913
$725$	0.0116761	−	0.111091i	0.000433641	−	0.00412582i
$726$	−1.69695			−0.0629798
$727$	−8.34868	+	25.6946i	−0.309635	+	0.952959i	0.668271	+	0.743918i	$0.267034\pi$
$727$	−8.34868	+	25.6946i	−0.309635	+	0.952959i	−0.977907	+	0.209042i	$0.932966\pi$
$728$	1.39169	+	1.01112i	0.0515796	+	0.0374748i
$729$	19.9572	+	14.4998i	0.739157	+	0.537029i
$730$	−14.4437	+	6.43075i	−0.534585	+	0.238013i
$731$	3.09496	−	2.24862i	0.114471	−	0.0831682i
$732$	−2.36685			−0.0874814
$733$	−9.50073	+	6.90268i	−0.350917	+	0.254956i	−0.749254	−	0.662283i	$-0.769588\pi$
$733$	−9.50073	+	6.90268i	−0.350917	+	0.254956i	0.398336	+	0.917239i	$0.369588\pi$
$734$	0.595413	+	1.83249i	0.0219771	+	0.0676385i
$735$	−0.427051	+	0.190135i	−0.0157520	+	0.00701325i
$736$	0.986494	−	3.03612i	0.0363627	−	0.111913i
$737$	4.35920	+	13.4162i	0.160573	+	0.494193i
$738$	−5.22394	−	16.0776i	−0.192296	−	0.591826i
$739$	−0.634198	+	1.95186i	−0.0233293	+	0.0718003i	−0.962043	−	0.272897i	$-0.912018\pi$
$739$	−0.634198	+	1.95186i	−0.0233293	+	0.0718003i	0.938714	+	0.344697i	$0.112018\pi$
$740$	6.94303	+	7.71101i	0.255231	+	0.283463i
$741$	0.200044	+	0.615671i	0.00734878	+	0.0226172i
$742$	6.27504	−	4.55908i	0.230364	−	0.167369i
$743$	32.1713			1.18025			0.590126	−	0.807311i	$-0.299078\pi$
$743$	32.1713			1.18025			0.590126	+	0.807311i	$0.299078\pi$
$744$	−0.919659	+	0.668171i	−0.0337163	+	0.0244964i
$745$	−21.6717	+	37.5366i	−0.793991	+	1.37523i
$746$	4.67274	+	3.39495i	0.171081	+	0.124298i
$747$	4.38558	+	3.18631i	0.160460	+	0.116581i
$748$	0.270649	−	0.832973i	0.00989591	−	0.0304565i
$749$	−0.649842			−0.0237447
$750$	1.89094	−	1.37385i	0.0690473	−	0.0501658i
$751$	−19.8527			−0.724436			−0.362218	−	0.932093i	$-0.617980\pi$
$751$	−19.8527			−0.724436			−0.362218	+	0.932093i	$0.617980\pi$
$752$	−3.64175	+	11.2082i	−0.132801	+	0.408720i
$753$	−3.35171	−	2.43516i	−0.122143	−	0.0887422i
$754$	−0.0310913	−	0.0225891i	−0.00113228	−	0.000822647i
$755$	−14.6399	+	25.3570i	−0.532800	+	0.922836i
$756$	1.00739	−	0.731913i	0.0366385	−	0.0266194i
$757$	−2.08959			−0.0759475			−0.0379738	−	0.999279i	$-0.512090\pi$
$757$	−2.08959			−0.0759475			−0.0379738	+	0.999279i	$0.512090\pi$
$758$	28.1494	−	20.4517i	1.02243	−	0.742840i
$759$	−0.350161	−	1.07769i	−0.0127100	−	0.0391175i
$760$	2.69332	+	2.99123i	0.0976969	+	0.108503i
$761$	2.71319	−	8.35033i	0.0983530	−	0.302699i	−0.889760	−	0.456429i	$-0.849128\pi$
$761$	2.71319	−	8.35033i	0.0983530	−	0.302699i	0.988113	+	0.153729i	$0.0491284\pi$
$762$	0.101994	+	0.313904i	0.00369484	+	0.0113715i
$763$	−5.73968	−	17.6649i	−0.207790	−	0.639513i
$764$	−0.124148	+	0.382087i	−0.00449151	+	0.0138234i
$765$	−3.11515	+	1.38695i	−0.112628	+	0.0501454i
$766$	10.5570	+	32.4911i	0.381439	+	1.17395i
$767$	4.37411	−	3.17797i	0.157940	−	0.114750i
$768$	0.209057			0.00754369
$769$	15.6802	−	11.3923i	0.565442	−	0.410817i	−0.268005	−	0.963418i	$-0.586364\pi$
$769$	15.6802	−	11.3923i	0.565442	−	0.410817i	0.833446	+	0.552600i	$0.186364\pi$
$770$	3.46836	−	1.54421i	0.124991	−	0.0556495i
$771$	0.738369	+	0.536456i	0.0265917	+	0.0193200i
$772$	−17.7472	−	12.8941i	−0.638735	−	0.464068i
$773$	8.23189	−	25.3351i	0.296080	−	0.911242i	−0.686776	−	0.726869i	$-0.740975\pi$
$773$	8.23189	−	25.3351i	0.296080	−	0.911242i	0.982856	−	0.184373i	$-0.0590253\pi$
$774$	−21.9245			−0.788059
$775$	24.8373	+	11.0583i	0.892183	+	0.397226i
$776$	−2.88578			−0.103594
$777$	−0.299778	+	0.922622i	−0.0107545	+	0.0330989i
$778$	−3.92156	−	2.84918i	−0.140595	−	0.102148i
$779$	8.32756	+	6.05032i	0.298366	+	0.216775i
$780$	−0.0840562	−	0.799742i	−0.00300970	−	0.0286353i
$781$	−15.3904	+	11.1818i	−0.550711	+	0.400115i
$782$	−1.64675			−0.0588877
$783$	−0.0225057	+	0.0163514i	−0.000804289	+	0.000584350i
$784$	0.309017	+	0.951057i	0.0110363	+	0.0339663i
$785$	−24.6244	+	42.6508i	−0.878884	+	1.52227i
$786$	0.521262	−	1.60428i	0.0185928	−	0.0572228i
$787$	5.94477	+	18.2961i	0.211908	+	0.652187i	0.999359	+	0.0358086i	$0.0114007\pi$
$787$	5.94477	+	18.2961i	0.211908	+	0.652187i	−0.787450	+	0.616378i	$0.788599\pi$
$788$	3.24454	+	9.98566i	0.115582	+	0.355724i
$789$	1.53797	−	4.73338i	0.0547531	−	0.168513i
$790$	1.71166	+	16.2854i	0.0608981	+	0.579407i
$791$	−1.31598	−	4.05018i	−0.0467910	−	0.144008i
$792$	−4.06082	+	2.95036i	−0.144295	+	0.104837i
$793$	19.4757			0.691601
$794$	−25.8757	+	18.7998i	−0.918295	+	0.667180i
$795$	−3.54660	−	0.753854i	−0.125785	−	0.0267364i
$796$	4.97719	+	3.61614i	0.176412	+	0.128171i
$797$	−6.81848	−	4.95391i	−0.241523	−	0.175477i	0.460439	−	0.887692i	$-0.347692\pi$
$797$	−6.81848	−	4.95391i	−0.241523	−	0.175477i	−0.701961	+	0.712215i	$0.747692\pi$
$798$	−0.116289	+	0.357901i	−0.00411659	+	0.0126696i
$799$	6.07917			0.215065
$800$	−2.50000	−	4.33013i	−0.0883883	−	0.153093i
$801$	22.5108			0.795381
$802$	11.0144	−	33.8989i	0.388933	−	1.19701i
$803$	9.71247	+	7.05652i	0.342746	+	0.249019i
$804$	1.40520	+	1.02094i	0.0495575	+	0.0360057i
$805$	−4.77648	−	5.30482i	−0.168349	−	0.186970i
$806$	7.56743	−	5.49806i	0.266551	−	0.193661i
$807$	−3.69756			−0.130160
$808$	−2.36623	+	1.71916i	−0.0832436	+	0.0604800i
$809$	−8.38221	−	25.7978i	−0.294703	−	0.907002i	−0.983321	−	0.181878i	$-0.941782\pi$
$809$	−8.38221	−	25.7978i	−0.294703	−	0.907002i	0.688618	−	0.725124i	$-0.258218\pi$
$810$	18.8287	+	4.00216i	0.661573	+	0.140622i
$811$	−14.0542	+	43.2543i	−0.493509	+	1.51887i	0.325758	+	0.945453i	$0.394381\pi$
$811$	−14.0542	+	43.2543i	−0.493509	+	1.51887i	−0.819267	+	0.573412i	$0.805619\pi$
$812$	−0.00690362	−	0.0212472i	−0.000242270	−	0.000745629i
$813$	−0.0843058	−	0.259467i	−0.00295673	−	0.00909989i
$814$	2.43469	−	7.49321i	0.0853359	−	0.262637i
$815$	−31.4398	−	6.68273i	−1.10129	−	0.234086i
$816$	−0.0333244	−	0.102562i	−0.00116659	−	0.00359039i
$817$	10.8002	−	7.84679i	0.377851	−	0.274524i
$818$	40.1926			1.40530
$819$	−4.11426	+	2.98918i	−0.143764	+	0.104450i
$820$	−8.55587	−	9.50226i	−0.298784	−	0.331833i
$821$	38.1347	+	27.7065i	1.33091	+	0.966962i	0.999726	+	0.0233952i	$0.00744761\pi$
$821$	38.1347	+	27.7065i	1.33091	+	0.966962i	0.331183	+	0.943567i	$0.392552\pi$
$822$	0.662227	+	0.481136i	0.0230978	+	0.0167815i
$823$	−0.677894	+	2.08634i	−0.0236299	+	0.0727254i	−0.962176	−	0.272428i	$-0.912173\pi$
$823$	−0.677894	+	2.08634i	−0.0236299	+	0.0727254i	0.938546	+	0.345154i	$0.112173\pi$
$824$	−15.8136			−0.550891
$825$	−1.62134	−	0.721866i	−0.0564477	−	0.0251321i
$826$	3.14301			0.109359
$827$	−3.59460	+	11.0630i	−0.124996	+	0.384699i	−0.993900	−	0.110281i	$-0.964825\pi$
$827$	−3.59460	+	11.0630i	−0.124996	+	0.384699i	0.868904	+	0.494981i	$0.164825\pi$
$828$	7.63515	+	5.54726i	0.265340	+	0.192781i
$829$	8.72999	+	6.34271i	0.303205	+	0.220291i	0.728975	−	0.684540i	$-0.239997\pi$
$829$	8.72999	+	6.34271i	0.303205	+	0.220291i	−0.425770	+	0.904831i	$0.639997\pi$
$830$	4.01061	+	0.852482i	0.139210	+	0.0295901i
$831$	−4.21475	+	3.06220i	−0.146208	+	0.106226i
$832$	−1.72023			−0.0596381
$833$	0.417324	−	0.303204i	0.0144594	−	0.0105054i
$834$	−0.752371	−	2.31556i	−0.0260525	−	0.0801813i
$835$	0.282378	+	2.68665i	0.00977209	+	0.0929752i
$836$	0.944458	−	2.90674i	0.0326648	−	0.100532i
$837$	−2.09232	−	6.43949i	−0.0723211	−	0.222582i
$838$	1.96543	+	6.04898i	0.0678947	+	0.208958i
$839$	8.01427	−	24.6654i	0.276683	−	0.851544i	−0.712086	−	0.702093i	$-0.752249\pi$
$839$	8.01427	−	24.6654i	0.276683	−	0.851544i	0.988769	−	0.149451i	$-0.0477507\pi$
$840$	0.233733	−	0.404837i	0.00806455	−	0.0139682i
$841$	−8.96134	−	27.5802i	−0.309012	−	0.951040i
$842$	−6.42662	+	4.66921i	−0.221476	+	0.160912i
$843$	−2.01768			−0.0694926
$844$	1.40313	−	1.01943i	0.0482977	−	0.0350904i
$845$	−2.34687	−	22.3290i	−0.0807347	−	0.768140i
$846$	−28.1860	−	20.4783i	−0.969055	−	0.704060i
$847$	6.56694	+	4.77116i	0.225643	+	0.163939i
$848$	−2.39685	+	7.37675i	−0.0823082	+	0.253319i
$849$	5.19386			0.178253
$850$	−1.72582	+	1.91672i	−0.0591953	+	0.0657430i
$851$	−14.8138			−0.507809
$852$	−0.723819	+	2.22769i	−0.0247976	+	0.0763193i
$853$	−24.7285	−	17.9663i	−0.846688	−	0.615155i	0.0775427	−	0.996989i	$-0.475293\pi$
$853$	−24.7285	−	17.9663i	−0.846688	−	0.615155i	−0.924231	+	0.381834i	$0.875293\pi$
$854$	9.15934	+	6.65465i	0.313426	+	0.227717i
$855$	−10.8706	+	4.83992i	−0.371768	+	0.165522i
$856$	0.525733	−	0.381967i	0.0179692	−	0.0130554i
$857$	25.6333			0.875617			0.437808	−	0.899068i	$-0.355755\pi$
$857$	25.6333			0.875617			0.437808	+	0.899068i	$0.355755\pi$
$858$	−0.493988	+	0.358904i	−0.0168645	+	0.0122528i
$859$	−2.73233	−	8.40924i	−0.0932258	−	0.286920i	0.893561	−	0.448941i	$-0.148199\pi$
$859$	−2.73233	−	8.40924i	−0.0932258	−	0.286920i	−0.986787	+	0.162021i	$0.948199\pi$
$860$	−15.1494	+	6.74497i	−0.516592	+	0.230002i
$861$	0.369416	−	1.13694i	0.0125896	−	0.0387470i
$862$	4.43198	+	13.6402i	0.150954	+	0.464589i
$863$	1.33814	+	4.11836i	0.0455507	+	0.140191i	0.971245	−	0.238081i	$-0.0765184\pi$
$863$	1.33814	+	4.11836i	0.0455507	+	0.140191i	−0.925695	+	0.378272i	$0.876518\pi$
$864$	−0.384789	+	1.18426i	−0.0130908	+	0.0402893i
$865$	12.7021	+	14.1072i	0.431886	+	0.479658i
$866$	6.69967	+	20.6195i	0.227664	+	0.700678i
$867$	2.83022	−	2.05627i	0.0961192	−	0.0698347i
$868$	5.43757			0.184563
$869$	10.0592	−	7.30845i	0.341236	−	0.247922i
$870$	−0.00522173	+	0.00904430i	−0.000177033	+	0.000306630i
$871$	−11.5627	−	8.40079i	−0.391787	−	0.284650i
$872$	15.0267	+	10.9175i	0.508868	+	0.369714i
$873$	2.63629	−	8.11368i	0.0892250	−	0.274606i
$874$	−5.74651			−0.194379
$875$	−11.1803			−0.377964
$876$	1.47818			0.0499431
$877$	−6.63377	+	20.4166i	−0.224006	+	0.689421i	0.774384	+	0.632715i	$0.218060\pi$
$877$	−6.63377	+	20.4166i	−0.224006	+	0.689421i	−0.998391	+	0.0567057i	$0.981940\pi$
$878$	5.49241	+	3.99047i	0.185360	+	0.134672i
$879$	1.40340	+	1.01963i	0.0473354	+	0.0343912i
$880$	−1.89829	+	3.28794i	−0.0639915	+	0.110837i
$881$	33.8608	−	24.6013i	1.14080	−	0.828839i	0.153568	−	0.988138i	$-0.450924\pi$
$881$	33.8608	−	24.6013i	1.14080	−	0.828839i	0.987230	+	0.159299i	$0.0509235\pi$
$882$	−2.95630			−0.0995436
$883$	30.9326	−	22.4739i	1.04097	−	0.756305i	0.0704914	−	0.997512i	$-0.477543\pi$
$883$	30.9326	−	22.4739i	1.04097	−	0.756305i	0.970474	+	0.241207i	$0.0775433\pi$
$884$	0.274210	+	0.843933i	0.00922269	+	0.0283845i
$885$	−0.983120	−	1.09187i	−0.0330472	−	0.0367026i
$886$	−5.26231	+	16.1957i	−0.176791	+	0.544106i
$887$	15.1662	+	46.6766i	0.509229	+	1.56725i	0.793542	+	0.608516i	$0.208235\pi$
$887$	15.1662	+	46.6766i	0.509229	+	1.56725i	−0.284312	+	0.958732i	$0.591765\pi$
$888$	−0.299778	−	0.922622i	−0.0100599	−	0.0309612i
$889$	0.487875	−	1.50152i	0.0163628	−	0.0503595i
$890$	15.5546	−	6.92536i	0.521392	−	0.232139i
$891$	−4.51671	−	13.9010i	−0.151315	−	0.465701i
$892$	−21.3852	+	15.5372i	−0.716029	+	0.520226i
$893$	21.2139			0.709895
$894$	3.27839	−	2.38189i	0.109646	−	0.0796624i
$895$	−15.7229	+	7.00031i	−0.525560	+	0.233994i
$896$	−0.809017	−	0.587785i	−0.0270274	−	0.0196365i
$897$	0.928796	+	0.674810i	0.0310116	+	0.0225312i
$898$	2.22556	−	6.84958i	0.0742680	−	0.228574i
$899$	−0.121479			−0.00405153
$900$	14.4585	−	3.07324i	0.481949	−	0.102441i
$901$	4.00105			0.133294
$902$	−3.00026	+	9.23386i	−0.0998978	+	0.307454i
$903$	−1.25431	−	0.911307i	−0.0417407	−	0.0303264i
$904$	3.44529	+	2.50315i	0.114589	+	0.0832535i
$905$	−4.40183	−	41.8806i	−0.146322	−	1.39216i
$906$	2.21465	−	1.60904i	0.0735767	−	0.0534566i
$907$	9.10415			0.302298			0.151149	−	0.988511i	$-0.451703\pi$
$907$	9.10415			0.302298			0.151149	+	0.988511i	$0.451703\pi$
$908$	12.6937	−	9.22254i	0.421257	−	0.306061i
$909$	−2.67195	−	8.22343i	−0.0886231	−	0.272754i
$910$	−1.92327	+	3.33121i	−0.0637559	+	0.110428i
$911$	6.22681	−	19.1641i	0.206303	−	0.634936i	−0.793354	−	0.608760i	$-0.791667\pi$
$911$	6.22681	−	19.1641i	0.206303	−	0.634936i	0.999657	−	0.0261757i	$-0.00833293\pi$
$912$	−0.116289	−	0.357901i	−0.00385071	−	0.0118513i
$913$	−0.962083	−	2.96099i	−0.0318403	−	0.0979944i
$914$	4.94496	−	15.2190i	0.163565	−	0.503400i
$915$	−0.553211	−	5.26345i	−0.0182886	−	0.174004i
$916$	5.63749	+	17.3504i	0.186268	+	0.573273i
$917$	−6.52780	+	4.74273i	−0.215567	+	0.156619i
$918$	0.642327			0.0212000
$919$	−9.36649	+	6.80516i	−0.308972	+	0.224481i	−0.731455	−	0.681889i	$-0.761159\pi$
$919$	−9.36649	+	6.80516i	−0.308972	+	0.224481i	0.422483	+	0.906371i	$0.361159\pi$
$920$	6.98235	+	1.48414i	0.230201	+	0.0489308i
$921$	−0.766858	−	0.557155i	−0.0252688	−	0.0183589i
$922$	−21.5584	−	15.6631i	−0.709989	−	0.515837i
$923$	5.95595	−	18.3305i	0.196043	−	0.603357i
$924$	−0.354955			−0.0116772
$925$	−15.5251	+	17.2424i	−0.510462	+	0.566925i
$926$	−40.7198			−1.33813
$927$	14.4464	−	44.4615i	0.474482	−	1.46031i
$928$	0.0180739	+	0.0131315i	0.000593306	+	0.000431062i
$929$	−30.6162	−	22.2439i	−1.00448	−	0.729800i	−0.0414388	−	0.999141i	$-0.513194\pi$
$929$	−30.6162	−	22.2439i	−1.00448	−	0.729800i	−0.963045	+	0.269341i	$0.913194\pi$
$930$	−1.70085	−	1.88898i	−0.0557730	−	0.0619421i
$931$	1.45630	−	1.05806i	0.0477281	−	0.0346765i
$932$	23.3101			0.763549
$933$	−2.95390	+	2.14613i	−0.0967062	+	0.0702612i
$934$	−5.28861	−	16.2767i	−0.173049	−	0.532589i
$935$	1.91564	+	0.407182i	0.0626481	+	0.0133163i
$936$	1.57151	−	4.83660i	0.0513663	−	0.158089i
$937$	10.5275	+	32.4002i	0.343918	+	1.05847i	0.962161	+	0.272483i	$0.0878447\pi$
$937$	10.5275	+	32.4002i	0.343918	+	1.05847i	−0.618243	+	0.785987i	$0.712155\pi$
$938$	−2.56743	−	7.90172i	−0.0838294	−	0.258000i
$939$	−0.0604961	+	0.186188i	−0.00197422	+	0.00607602i
$940$	−25.7761	−	5.47889i	−0.840725	−	0.178702i
$941$	−8.93243	−	27.4912i	−0.291189	−	0.896187i	−0.984475	−	0.175525i	$-0.943838\pi$
$941$	−8.93243	−	27.4912i	−0.291189	−	0.896187i	0.693286	−	0.720662i	$-0.256162\pi$
$942$	3.72506	−	2.70642i	0.121369	−	0.0881798i
$943$	18.2549			0.594463
$944$	−2.54275	+	1.84742i	−0.0827595	+	0.0601283i
$945$	1.86310	+	2.06918i	0.0606067	+	0.0673106i
$946$	10.1870	+	7.40132i	0.331209	+	0.240638i
$947$	22.9385	+	16.6658i	0.745402	+	0.541566i	0.894398	−	0.447272i	$-0.147604\pi$
$947$	22.9385	+	16.6658i	0.745402	+	0.541566i	−0.148996	+	0.988838i	$0.547604\pi$
$948$	0.473091	−	1.45602i	0.0153653	−	0.0472895i
$949$	−12.1632			−0.394835
$950$	−6.02244	+	6.68860i	−0.195394	+	0.217007i
$951$	−2.75789			−0.0894306
$952$	−0.159404	+	0.490594i	−0.00516630	+	0.0159002i
$953$	4.63525	+	3.36771i	0.150150	+	0.109091i	0.660324	−	0.750981i	$-0.270419\pi$
$953$	4.63525	+	3.36771i	0.150150	+	0.109091i	−0.510174	+	0.860071i	$0.670419\pi$
$954$	−18.5509	−	13.4780i	−0.600607	−	0.436366i
$955$	−0.878710	−	0.186776i	−0.0284344	−	0.00604392i
$956$	19.5857	−	14.2299i	0.633448	−	0.460227i
$957$	0.00792990			0.000256337
$958$	11.0320	−	8.01522i	0.356428	−	0.258960i
$959$	−1.20995	−	3.72384i	−0.0390713	−	0.120249i
$960$	0.0488635	+	0.464905i	0.00157706	+	0.0150047i
$961$	−0.442776	+	1.36273i	−0.0142831	+	0.0439589i
$962$	2.46673	+	7.59181i	0.0795305	+	0.244770i
$963$	0.593660	+	1.82710i	0.0191304	+	0.0588774i
$964$	−1.79202	+	5.51528i	−0.0577171	+	0.177635i
$965$	24.5260	−	42.4803i	0.789520	−	1.36749i
$966$	0.206234	+	0.634721i	0.00663545	+	0.0204218i
$967$	34.0152	−	24.7135i	1.09386	−	0.794733i	0.113810	−	0.993503i	$-0.463694\pi$
$967$	34.0152	−	24.7135i	1.09386	−	0.794733i	0.980046	+	0.198769i	$0.0636944\pi$
$968$	−8.11718			−0.260896
$969$	−0.157047	+	0.114101i	−0.00504508	+	0.00366546i
$970$	−0.674502	−	6.41746i	−0.0216570	−	0.206052i
$971$	47.2544	+	34.3324i	1.51647	+	1.10178i	0.963204	+	0.268771i	$0.0866176\pi$
$971$	47.2544	+	34.3324i	1.51647	+	1.10178i	0.553263	+	0.833007i	$0.313382\pi$
$972$	−4.47815	−	3.25356i	−0.143637	−	0.104358i
$973$	−3.59888	+	11.0762i	−0.115375	+	0.355087i
$974$	−32.3523			−1.03664
$975$	1.75883	−	0.373852i	0.0563278	−	0.0119728i
$976$	−11.3216			−0.362395
$977$	4.41856	−	13.5989i	0.141362	−	0.435068i	−0.855163	−	0.518359i	$-0.826543\pi$
$977$	4.41856	−	13.5989i	0.141362	−	0.435068i	0.996525	+	0.0832910i	$0.0265431\pi$
$978$	2.43115	+	1.76634i	0.0777397	+	0.0564812i
$979$	−10.4595	−	7.59926i	−0.334287	−	0.242873i
$980$	−2.04275	+	0.909491i	−0.0652532	+	0.0290526i
$981$	−44.4233	+	32.2754i	−1.41833	+	1.03047i
$982$	−32.2231			−1.02828
$983$	5.81450	−	4.22448i	0.185454	−	0.134740i	−0.491185	−	0.871055i	$-0.663436\pi$
$983$	5.81450	−	4.22448i	0.185454	−	0.134740i	0.676638	+	0.736315i	$0.263436\pi$
$984$	0.369416	+	1.13694i	0.0117765	+	0.0362445i
$985$	−21.4479	+	9.54924i	−0.683388	+	0.304264i
$986$	0.00356117	−	0.0109602i	0.000113411	−	0.000349042i
$987$	−0.761334	−	2.34315i	−0.0242335	−	0.0745831i
$988$	0.956885	+	2.94499i	0.0304426	+	0.0936926i
$989$	7.31604	−	22.5165i	0.232637	−	0.715982i
$990$	−7.51022	−	8.34094i	−0.238690	−	0.265092i
$991$	−14.8085	−	45.5759i	−0.470408	−	1.44777i	−0.852052	−	0.523457i	$-0.824642\pi$
$991$	−14.8085	−	45.5759i	−0.470408	−	1.44777i	0.381644	−	0.924309i	$-0.375358\pi$
$992$	−4.39908	+	3.19612i	−0.139671	+	0.101477i
$993$	5.16593			0.163936
$994$	9.06444	−	6.58570i	0.287506	−	0.208886i
$995$	−6.87831	+	11.9136i	−0.218057	+	0.377686i
$996$	−0.310130	−	0.225323i	−0.00982684	−	0.00713962i
$997$	−18.3421	−	13.3263i	−0.580901	−	0.422050i	0.258148	−	0.966106i	$-0.416888\pi$
$997$	−18.3421	−	13.3263i	−0.580901	−	0.422050i	−0.839049	+	0.544056i	$0.816888\pi$
$998$	−8.08785	+	24.8918i	−0.256016	+	0.787937i
$999$	5.77822			0.182815

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.a.71.1	✓	8
25.6	even	5	inner	350.2.h.a.281.1	yes	8
25.9	even	10		8750.2.a.e.1.2		4
25.16	even	5		8750.2.a.j.1.3		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.a.71.1	✓	8	1.1	even	1	trivial
350.2.h.a.281.1	yes	8	25.6	even	5	inner
8750.2.a.e.1.2		4	25.9	even	10
8750.2.a.j.1.3		4	25.16	even	5

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(-0.169131 - 0.122881i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(-0.169131 + 0.122881i) q^{6} +1.00000 q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.913545 - 2.81160i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(-0.169131 - 0.122881i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.11803 - 1.93649i) q^{5} +(-0.169131 + 0.122881i) q^{6} +1.00000 q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.913545 - 2.81160i) q^{9} +(-1.49622 - 1.66172i) q^{10} +(-0.524676 + 1.61479i) q^{11} +(0.0646021 + 0.198825i) q^{12} +(-0.531579 - 1.63603i) q^{13} +(0.309017 - 0.951057i) q^{14} +(-0.427051 + 0.190135i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.417324 - 0.303204i) q^{17} -2.95630 q^{18} +(1.45630 - 1.05806i) q^{19} +(-2.04275 + 0.909491i) q^{20} +(-0.169131 - 0.122881i) q^{21} +(1.37362 + 0.997993i) q^{22} +(0.986494 - 3.03612i) q^{23} +0.209057 q^{24} +(-2.50000 - 4.33013i) q^{25} -1.72023 q^{26} +(-0.384789 + 1.18426i) q^{27} +(-0.809017 - 0.587785i) q^{28} +(0.0180739 + 0.0131315i) q^{29} +(0.0488635 + 0.464905i) q^{30} +(-4.39908 + 3.19612i) q^{31} +1.00000 q^{32} +(0.287165 - 0.208637i) q^{33} +(-0.159404 - 0.490594i) q^{34} +(1.11803 - 1.93649i) q^{35} +(-0.913545 + 2.81160i) q^{36} +(-1.43395 - 4.41326i) q^{37} +(-0.556255 - 1.71198i) q^{38} +(-0.111130 + 0.342024i) q^{39} +(0.233733 + 2.22382i) q^{40} +(1.76706 + 5.43844i) q^{41} +(-0.169131 + 0.122881i) q^{42} +7.41620 q^{43} +(1.37362 - 0.997993i) q^{44} +(-6.46602 - 1.37440i) q^{45} +(-2.58268 - 1.87642i) q^{46} +(9.53424 + 6.92703i) q^{47} +(0.0646021 - 0.198825i) q^{48} +1.00000 q^{49} +(-4.89074 + 1.03956i) q^{50} -0.107840 q^{51} +(-0.531579 + 1.63603i) q^{52} +(6.27504 + 4.55908i) q^{53} +(1.00739 + 0.731913i) q^{54} +(2.54041 + 2.82142i) q^{55} +(-0.809017 + 0.587785i) q^{56} -0.376319 q^{57} +(0.0180739 - 0.0131315i) q^{58} +(0.971244 + 2.98918i) q^{59} +(0.457250 + 0.0971915i) q^{60} +(-3.49856 + 10.7675i) q^{61} +(1.68030 + 5.17143i) q^{62} +(-0.913545 - 2.81160i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-3.76249 - 0.799742i) q^{65} +(-0.109687 - 0.337582i) q^{66} +(6.72161 - 4.88353i) q^{67} -0.515841 q^{68} +(-0.539926 + 0.392279i) q^{69} +(-1.49622 - 1.66172i) q^{70} +(9.06444 + 6.58570i) q^{71} +(2.39169 + 1.73767i) q^{72} +(2.18497 - 6.72465i) q^{73} -4.64037 q^{74} +(-0.109262 + 1.03956i) q^{75} -1.80008 q^{76} +(-0.524676 + 1.61479i) q^{77} +(0.290943 + 0.211383i) q^{78} +(-5.92455 - 4.30444i) q^{79} +(2.18720 + 0.464905i) q^{80} +(-6.96448 + 5.05999i) q^{81} +5.71832 q^{82} +(-1.48347 + 1.07781i) q^{83} +(0.0646021 + 0.198825i) q^{84} +(-0.120569 - 1.14714i) q^{85} +(2.29173 - 7.05323i) q^{86} +(-0.00144325 - 0.00444187i) q^{87} +(-0.524676 - 1.61479i) q^{88} +(-2.35302 + 7.24186i) q^{89} +(-3.30524 + 5.72484i) q^{90} +(-0.531579 - 1.63603i) q^{91} +(-2.58268 + 1.87642i) q^{92} +1.13676 q^{93} +(9.53424 - 6.92703i) q^{94} +(-0.420738 - 4.00305i) q^{95} +(-0.169131 - 0.122881i) q^{96} +(2.33465 + 1.69622i) q^{97} +(0.309017 - 0.951057i) q^{98} +5.01945 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9}+O(q^{10}) \) 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9	\( 8 q - 2 q^{2} + 3 q^{3} - 2 q^{4} + 3 q^{6} + 8 q^{7} - 2 q^{8} - q^{9} + 5 q^{10} - q^{11} - 2 q^{12} + 11 q^{13} - 2 q^{14} + 10 q^{15} - 2 q^{16} + 14 q^{17} - 6 q^{18} - 6 q^{19} - 5 q^{20} + 3 q^{21} + 4 q^{22} + 15 q^{23} - 2 q^{24} - 20 q^{25} - 14 q^{26} - 2 q^{28} - 8 q^{29} - 5 q^{30} - 7 q^{31} + 8 q^{32} - 11 q^{33} - 21 q^{34} - q^{36} + 14 q^{37} + 14 q^{38} - 4 q^{39} - 5 q^{40} + 3 q^{41} + 3 q^{42} - 6 q^{43} + 4 q^{44} - 10 q^{45} - 10 q^{46} + 2 q^{47} - 2 q^{48} + 8 q^{49} + 5 q^{50} + 14 q^{51} + 11 q^{52} + 4 q^{53} - 5 q^{54} + 20 q^{55} - 2 q^{56} - 36 q^{57} - 8 q^{58} + 11 q^{59} + 15 q^{60} + 13 q^{62} - q^{63} - 2 q^{64} - 20 q^{65} + 24 q^{66} + 14 q^{67} + 14 q^{68} - 5 q^{69} + 5 q^{70} + 23 q^{71} + 4 q^{72} - 5 q^{73} - 36 q^{74} - 45 q^{75} - 16 q^{76} - q^{77} + 6 q^{78} + 2 q^{79} + 5 q^{80} - 7 q^{81} - 12 q^{82} - 27 q^{83} - 2 q^{84} + 15 q^{85} + 4 q^{86} - 28 q^{87} - q^{88} - 15 q^{89} - 5 q^{90} + 11 q^{91} - 10 q^{92} + 38 q^{93} + 2 q^{94} + 20 q^{95} + 3 q^{96} + 40 q^{97} - 2 q^{98} - 8 q^{99}+O(q^{100}) \) 8 * q - 2 * q^2 + 3 * q^3 - 2 * q^4 + 3 * q^6 + 8 * q^7 - 2 * q^8 - q^9 + 5 * q^10 - q^11 - 2 * q^12 + 11 * q^13 - 2 * q^14 + 10 * q^15 - 2 * q^16 + 14 * q^17 - 6 * q^18 - 6 * q^19 - 5 * q^20 + 3 * q^21 + 4 * q^22 + 15 * q^23 - 2 * q^24 - 20 * q^25 - 14 * q^26 - 2 * q^28 - 8 * q^29 - 5 * q^30 - 7 * q^31 + 8 * q^32 - 11 * q^33 - 21 * q^34 - q^36 + 14 * q^37 + 14 * q^38 - 4 * q^39 - 5 * q^40 + 3 * q^41 + 3 * q^42 - 6 * q^43 + 4 * q^44 - 10 * q^45 - 10 * q^46 + 2 * q^47 - 2 * q^48 + 8 * q^49 + 5 * q^50 + 14 * q^51 + 11 * q^52 + 4 * q^53 - 5 * q^54 + 20 * q^55 - 2 * q^56 - 36 * q^57 - 8 * q^58 + 11 * q^59 + 15 * q^60 + 13 * q^62 - q^63 - 2 * q^64 - 20 * q^65 + 24 * q^66 + 14 * q^67 + 14 * q^68 - 5 * q^69 + 5 * q^70 + 23 * q^71 + 4 * q^72 - 5 * q^73 - 36 * q^74 - 45 * q^75 - 16 * q^76 - q^77 + 6 * q^78 + 2 * q^79 + 5 * q^80 - 7 * q^81 - 12 * q^82 - 27 * q^83 - 2 * q^84 + 15 * q^85 + 4 * q^86 - 28 * q^87 - q^88 - 15 * q^89 - 5 * q^90 + 11 * q^91 - 10 * q^92 + 38 * q^93 + 2 * q^94 + 20 * q^95 + 3 * q^96 + 40 * q^97 - 2 * q^98 - 8 * q^99

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