LMFDB - Embedded newform 390.2.bd.b.223.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(7,390)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 3, 11]))

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

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

chi := DirichletCharacter("390.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.11416567883$
Analytic rank:	$0$
Dimension:	$16$
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} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 $ x^16 - 4x^15 + 12x^14 - 48x^13 + 67x^12 - 24x^11 + 118x^10 - 176x^9 + 351x^8 - 180x^7 + 358x^6 - 336x^5 + 390x^4 - 344x^3 + 164x^2 - 40*x + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			223.2
Root			$-0.709944 - 0.925217i$ of defining polynomial
Character	$\chi$	$=$	390.223
Dual form			390.2.bd.b.7.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.23567 + 0.0421887i) q^{5} +(0.258819 + 0.965926i) q^{6} +(1.27707 - 2.21194i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.23567 + 0.0421887i) q^{5} +(0.258819 + 0.965926i) q^{6} +(1.27707 - 2.21194i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +(1.95724 - 1.08130i) q^{10} +(0.240573 - 0.897829i) q^{11} +(0.707107 + 0.707107i) q^{12} +(-1.91725 + 3.05354i) q^{13} -2.55413i q^{14} +(-0.619385 + 2.14857i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.84923 - 0.495499i) q^{17} -1.00000 q^{18} +(-0.321456 + 0.0861340i) q^{19} +(1.15437 - 1.91505i) q^{20} +(1.80604 + 1.80604i) q^{21} +(-0.240573 - 0.897829i) q^{22} +(1.92639 + 0.516175i) q^{23} +(0.965926 + 0.258819i) q^{24} +(4.99644 + 0.188640i) q^{25} +(-0.133619 + 3.60307i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-1.27707 - 2.21194i) q^{28} +(-1.58408 + 0.914569i) q^{29} +(0.537883 + 2.17041i) q^{30} +(-0.423885 + 0.423885i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.804972 + 0.464751i) q^{33} +(1.35373 - 1.35373i) q^{34} +(2.94842 - 4.89130i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(3.55220 + 6.15259i) q^{37} +(-0.235322 + 0.235322i) q^{38} +(-2.45328 - 2.64224i) q^{39} +(0.0421887 - 2.23567i) q^{40} +(-10.7484 - 2.88002i) q^{41} +(2.46710 + 0.661058i) q^{42} +(-0.371252 - 1.38553i) q^{43} +(-0.657257 - 0.657257i) q^{44} +(-1.91505 - 1.15437i) q^{45} +(1.92639 - 0.516175i) q^{46} -7.62342 q^{47} +(0.965926 - 0.258819i) q^{48} +(0.238207 + 0.412587i) q^{49} +(4.42136 - 2.33485i) q^{50} +1.91446i q^{51} +(1.68582 + 3.18716i) q^{52} +(-0.567895 - 0.567895i) q^{53} +(0.258819 - 0.965926i) q^{54} +(0.575719 - 1.99710i) q^{55} +(-2.21194 - 1.27707i) q^{56} -0.332796i q^{57} +(-0.914569 + 1.58408i) q^{58} +(-1.37659 - 5.13751i) q^{59} +(1.55103 + 1.61069i) q^{60} +(-5.39490 + 9.34424i) q^{61} +(-0.155153 + 0.579037i) q^{62} +(-2.21194 + 1.27707i) q^{63} -1.00000 q^{64} +(-4.41517 + 6.74583i) q^{65} +0.929501 q^{66} +(-11.9595 + 6.90482i) q^{67} +(0.495499 - 1.84923i) q^{68} +(-0.997174 + 1.72716i) q^{69} +(0.107756 - 5.71019i) q^{70} +(-3.55539 - 13.2689i) q^{71} +(-0.500000 + 0.866025i) q^{72} +16.1644i q^{73} +(6.15259 + 3.55220i) q^{74} +(-1.47539 + 4.77737i) q^{75} +(-0.0861340 + 0.321456i) q^{76} +(-1.67872 - 1.67872i) q^{77} +(-3.44572 - 1.06161i) q^{78} -10.6347i q^{79} +(-1.08130 - 1.95724i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-10.7484 + 2.88002i) q^{82} +6.12517 q^{83} +(2.46710 - 0.661058i) q^{84} +(4.15516 - 1.02976i) q^{85} +(-1.01428 - 1.01428i) q^{86} +(-0.473416 - 1.76681i) q^{87} +(-0.897829 - 0.240573i) q^{88} +(-6.90537 - 1.85029i) q^{89} +(-2.23567 - 0.0421887i) q^{90} +(4.30580 + 8.14043i) q^{91} +(1.41022 - 1.41022i) q^{92} +(-0.299732 - 0.519150i) q^{93} +(-6.60208 + 3.81171i) q^{94} +(-0.722304 + 0.179005i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-1.94931 - 1.12544i) q^{97} +(0.412587 + 0.238207i) q^{98} +(-0.657257 + 0.657257i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) $ 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7	$ 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7 + 12 * q^11 - 8 * q^13 + 12 * q^15 - 8 * q^16 + 16 * q^17 - 16 * q^18 + 4 * q^19 - 4 * q^20 - 12 * q^22 - 4 * q^23 - 4 * q^25 + 4 * q^26 - 4 * q^28 + 48 * q^29 - 8 * q^30 + 16 * q^31 + 20 * q^34 + 12 * q^35 + 20 * q^37 - 4 * q^38 - 4 * q^39 - 12 * q^41 + 4 * q^43 + 12 * q^44 - 4 * q^46 - 64 * q^47 + 4 * q^49 + 16 * q^50 - 16 * q^52 + 32 * q^53 - 44 * q^55 - 24 * q^56 - 12 * q^58 - 4 * q^59 + 12 * q^60 + 4 * q^61 - 20 * q^62 - 24 * q^63 - 16 * q^64 - 8 * q^65 + 32 * q^66 - 36 * q^67 - 4 * q^68 - 4 * q^69 - 36 * q^71 - 8 * q^72 - 12 * q^74 + 8 * q^76 - 4 * q^77 - 12 * q^78 - 8 * q^80 + 8 * q^81 - 12 * q^82 + 24 * q^83 - 52 * q^85 + 16 * q^86 - 12 * q^87 + 24 * q^89 - 4 * q^90 - 8 * q^92 - 36 * q^94 - 44 * q^95 + 60 * q^97 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{12}\right)$

Coefficient data

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

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

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

$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$3$	−0.258819	+	0.965926i	−0.149429	+	0.557678i
$3$	−0.258819	+	0.965926i	−0.149429	+	0.557678i
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	2.23567	+	0.0421887i	0.999822	+	0.0188674i
$5$	2.23567	+	0.0421887i	0.999822	+	0.0188674i
$6$	0.258819	+	0.965926i	0.105662	+	0.394338i
$7$	1.27707	−	2.21194i	0.482685	−	0.836036i	−0.517117	−	0.855915i	$-0.672995\pi$
$7$	1.27707	−	2.21194i	0.482685	−	0.836036i	0.999802	+	0.0198791i	$0.00632813\pi$
$8$		−	1.00000i		−	0.353553i
$9$	−0.866025	−	0.500000i	−0.288675	−	0.166667i
$10$	1.95724	−	1.08130i	0.618934	−	0.341937i
$11$	0.240573	−	0.897829i	0.0725354	−	0.270706i	−0.920128	−	0.391618i	$-0.871915\pi$
$11$	0.240573	−	0.897829i	0.0725354	−	0.270706i	0.992663	+	0.120913i	$0.0385821\pi$
$12$	0.707107	+	0.707107i	0.204124	+	0.204124i
$13$	−1.91725	+	3.05354i	−0.531751	+	0.846901i
$13$	−1.91725	+	3.05354i	−0.531751	+	0.846901i
$14$		−	2.55413i		−	0.682620i
$15$	−0.619385	+	2.14857i	−0.159925	+	0.554759i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	1.84923	−	0.495499i	0.448503	−	0.120176i	−0.0274957	−	0.999622i	$-0.508753\pi$
$17$	1.84923	−	0.495499i	0.448503	−	0.120176i	0.475999	+	0.879446i	$0.342087\pi$
$18$	−1.00000			−0.235702
$19$	−0.321456	+	0.0861340i	−0.0737472	+	0.0197605i	−0.295504	−	0.955342i	$-0.595488\pi$
$19$	−0.321456	+	0.0861340i	−0.0737472	+	0.0197605i	0.221757	+	0.975102i	$0.428821\pi$
$20$	1.15437	−	1.91505i	0.258125	−	0.428219i
$21$	1.80604	+	1.80604i	0.394111	+	0.394111i
$22$	−0.240573	−	0.897829i	−0.0512903	−	0.191418i
$23$	1.92639	+	0.516175i	0.401681	+	0.107630i	0.454003	−	0.891000i	$-0.349996\pi$
$23$	1.92639	+	0.516175i	0.401681	+	0.107630i	−0.0523222	+	0.998630i	$0.516662\pi$
$24$	0.965926	+	0.258819i	0.197169	+	0.0528312i
$25$	4.99644	+	0.188640i	0.999288	+	0.0377280i
$26$	−0.133619	+	3.60307i	−0.0262049	+	0.706621i
$27$	0.707107	−	0.707107i	0.136083	−	0.136083i
$28$	−1.27707	−	2.21194i	−0.241343	−	0.418018i
$29$	−1.58408	+	0.914569i	−0.294156	+	0.169831i	−0.639815	−	0.768529i	$-0.720989\pi$
$29$	−1.58408	+	0.914569i	−0.294156	+	0.169831i	0.345658	+	0.938360i	$0.387656\pi$
$30$	0.537883	+	2.17041i	0.0982035	+	0.396261i
$31$	−0.423885	+	0.423885i	−0.0761319	+	0.0761319i	−0.744147	−	0.668015i	$-0.767144\pi$
$31$	−0.423885	+	0.423885i	−0.0761319	+	0.0761319i	0.668015	+	0.744147i	$0.267144\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	0.804972	+	0.464751i	0.140128	+	0.0809027i
$34$	1.35373	−	1.35373i	0.232162	−	0.232162i
$35$	2.94842	−	4.89130i	0.498373	−	0.826780i
$36$	−0.866025	+	0.500000i	−0.144338	+	0.0833333i
$37$	3.55220	+	6.15259i	0.583978	+	1.01148i	0.995002	+	0.0998553i	$0.0318380\pi$
$37$	3.55220	+	6.15259i	0.583978	+	1.01148i	−0.411024	+	0.911625i	$0.634829\pi$
$38$	−0.235322	+	0.235322i	−0.0381743	+	0.0381743i
$39$	−2.45328	−	2.64224i	−0.392838	−	0.423097i
$40$	0.0421887	−	2.23567i	0.00667062	−	0.353490i
$41$	−10.7484	−	2.88002i	−1.67862	−	0.449784i	−0.711203	−	0.702986i	$-0.751850\pi$
$41$	−10.7484	−	2.88002i	−1.67862	−	0.449784i	−0.967413	+	0.253202i	$0.918516\pi$
$42$	2.46710	+	0.661058i	0.380682	+	0.102003i
$43$	−0.371252	−	1.38553i	−0.0566154	−	0.211291i	0.931823	−	0.362912i	$-0.118217\pi$
$43$	−0.371252	−	1.38553i	−0.0566154	−	0.211291i	−0.988439	+	0.151621i	$0.951551\pi$
$44$	−0.657257	−	0.657257i	−0.0990852	−	0.0990852i
$45$	−1.91505	−	1.15437i	−0.285479	−	0.172084i
$46$	1.92639	−	0.516175i	0.284031	−	0.0761059i
$47$	−7.62342			−1.11199			−0.555995	−	0.831185i	$-0.687663\pi$
$47$	−7.62342			−1.11199			−0.555995	+	0.831185i	$0.687663\pi$
$48$	0.965926	−	0.258819i	0.139419	−	0.0373573i
$49$	0.238207	+	0.412587i	0.0340296	+	0.0589411i
$50$	4.42136	−	2.33485i	0.625275	−	0.330198i
$51$			1.91446i			0.268078i
$52$	1.68582	+	3.18716i	0.233781	+	0.441980i
$53$	−0.567895	−	0.567895i	−0.0780064	−	0.0780064i	0.667027	−	0.745033i	$-0.267567\pi$
$53$	−0.567895	−	0.567895i	−0.0780064	−	0.0780064i	−0.745033	+	0.667027i	$0.767567\pi$
$54$	0.258819	−	0.965926i	0.0352208	−	0.131446i
$55$	0.575719	−	1.99710i	0.0776300	−	0.269289i
$56$	−2.21194	−	1.27707i	−0.295583	−	0.170655i
$57$		−	0.332796i		−	0.0440799i
$58$	−0.914569	+	1.58408i	−0.120089	+	0.208000i
$59$	−1.37659	−	5.13751i	−0.179217	−	0.668847i	−0.995795	−	0.0916117i	$-0.970798\pi$
$59$	−1.37659	−	5.13751i	−0.179217	−	0.668847i	0.816578	−	0.577235i	$-0.195869\pi$
$60$	1.55103	+	1.61069i	0.200237	+	0.207939i
$61$	−5.39490	+	9.34424i	−0.690746	+	1.19641i	0.280848	+	0.959752i	$0.409384\pi$
$61$	−5.39490	+	9.34424i	−0.690746	+	1.19641i	−0.971594	+	0.236655i	$0.923949\pi$
$62$	−0.155153	+	0.579037i	−0.0197044	+	0.0735378i
$63$	−2.21194	+	1.27707i	−0.278679	+	0.160895i
$64$	−1.00000			−0.125000
$65$	−4.41517	+	6.74583i	−0.547635	+	0.836717i
$66$	0.929501			0.114414
$67$	−11.9595	+	6.90482i	−1.46108	+	0.843558i	−0.999062	−	0.0433105i	$-0.986210\pi$
$67$	−11.9595	+	6.90482i	−1.46108	+	0.843558i	−0.462023	+	0.886868i	$0.652876\pi$
$68$	0.495499	−	1.84923i	0.0600880	−	0.224252i
$69$	−0.997174	+	1.72716i	−0.120046	+	0.207925i
$70$	0.107756	−	5.71019i	0.0128793	−	0.682499i
$71$	−3.55539	−	13.2689i	−0.421947	−	1.57473i	−0.770501	−	0.637438i	$-0.779994\pi$
$71$	−3.55539	−	13.2689i	−0.421947	−	1.57473i	0.348555	−	0.937288i	$-0.386673\pi$
$72$	−0.500000	+	0.866025i	−0.0589256	+	0.102062i
$73$			16.1644i			1.89190i	0.324306	+	0.945952i	$0.394869\pi$
$73$			16.1644i			1.89190i	−0.324306	+	0.945952i	$0.605131\pi$
$74$	6.15259	+	3.55220i	0.715224	+	0.412935i
$75$	−1.47539	+	4.77737i	−0.170363	+	0.551643i
$76$	−0.0861340	+	0.321456i	−0.00988024	+	0.0368736i
$77$	−1.67872	−	1.67872i	−0.191308	−	0.191308i
$78$	−3.44572	−	1.06161i	−0.390151	−	0.120204i
$79$		−	10.6347i		−	1.19650i	−0.801309	−	0.598251i	$-0.795863\pi$
$79$		−	10.6347i		−	1.19650i	0.801309	−	0.598251i	$-0.204137\pi$
$80$	−1.08130	−	1.95724i	−0.120893	−	0.218826i
$81$	0.500000	+	0.866025i	0.0555556	+	0.0962250i
$82$	−10.7484	+	2.88002i	−1.18696	+	0.318045i
$83$	6.12517			0.672325			0.336162	−	0.941804i	$-0.390871\pi$
$83$	6.12517			0.672325			0.336162	+	0.941804i	$0.390871\pi$
$84$	2.46710	−	0.661058i	0.269183	−	0.0721273i
$85$	4.15516	−	1.02976i	0.450691	−	0.111693i
$86$	−1.01428	−	1.01428i	−0.109372	−	0.109372i
$87$	−0.473416	−	1.76681i	−0.0507555	−	0.189422i
$88$	−0.897829	−	0.240573i	−0.0957089	−	0.0256451i
$89$	−6.90537	−	1.85029i	−0.731968	−	0.196130i	−0.126463	−	0.991971i	$-0.540362\pi$
$89$	−6.90537	−	1.85029i	−0.731968	−	0.196130i	−0.605506	+	0.795841i	$0.707029\pi$
$90$	−2.23567	−	0.0421887i	−0.235660	−	0.00444708i
$91$	4.30580	+	8.14043i	0.451371	+	0.853349i
$92$	1.41022	−	1.41022i	0.147025	−	0.147025i
$93$	−0.299732	−	0.519150i	−0.0310807	−	0.0538334i
$94$	−6.60208	+	3.81171i	−0.680952	+	0.393148i
$95$	−0.722304	+	0.179005i	−0.0741069	+	0.0183656i
$96$	0.707107	−	0.707107i	0.0721688	−	0.0721688i
$97$	−1.94931	−	1.12544i	−0.197923	−	0.114271i	0.397763	−	0.917488i	$-0.369786\pi$
$97$	−1.94931	−	1.12544i	−0.197923	−	0.114271i	−0.595686	+	0.803217i	$0.703120\pi$
$98$	0.412587	+	0.238207i	0.0416776	+	0.0240626i
$99$	−0.657257	+	0.657257i	−0.0660568	+	0.0660568i
$100$	2.66159	−	4.23272i	0.266159	−	0.423272i
$101$	−10.3731	+	5.98893i	−1.03217	+	0.595921i	−0.917604	−	0.397495i	$-0.869880\pi$
$101$	−10.3731	+	5.98893i	−1.03217	+	0.595921i	−0.114562	+	0.993416i	$0.536546\pi$
$102$	0.957230	+	1.65797i	0.0947799	+	0.164164i
$103$	10.3799	−	10.3799i	1.02276	−	1.02276i	0.0230231	−	0.999735i	$-0.492671\pi$
$103$	10.3799	−	10.3799i	1.02276	−	1.02276i	0.999735	−	0.0230231i	$-0.00732912\pi$
$104$	3.05354	+	1.91725i	0.299425	+	0.188002i
$105$	3.96152	+	4.11391i	0.386605	+	0.401477i
$106$	−0.775759	−	0.207864i	−0.0753484	−	0.0201895i
$107$	9.22064	+	2.47066i	0.891393	+	0.238848i	0.675316	−	0.737528i	$-0.264007\pi$
$107$	9.22064	+	2.47066i	0.891393	+	0.238848i	0.216077	+	0.976376i	$0.430674\pi$
$108$	−0.258819	−	0.965926i	−0.0249049	−	0.0929463i
$109$	−4.56900	−	4.56900i	−0.437631	−	0.437631i	0.453583	−	0.891214i	$-0.350145\pi$
$109$	−4.56900	−	4.56900i	−0.437631	−	0.437631i	−0.891214	+	0.453583i	$0.850145\pi$
$110$	−0.499963	−	2.01740i	−0.0476696	−	0.192351i
$111$	−6.86232	+	1.83875i	−0.651343	+	0.174527i
$112$	−2.55413			−0.241343
$113$	14.3737	−	3.85142i	1.35216	−	0.362311i	0.491231	−	0.871030i	$-0.336547\pi$
$113$	14.3737	−	3.85142i	1.35216	−	0.362311i	0.860933	+	0.508718i	$0.169881\pi$
$114$	−0.166398	−	0.288210i	−0.0155846	−	0.0269933i
$115$	4.28500	+	1.23527i	0.399578	+	0.115189i
$116$			1.82914i			0.169831i
$117$	3.18716	−	1.68582i	0.294653	−	0.155854i
$118$	−3.76092	−	3.76092i	−0.346221	−	0.346221i
$119$	1.26557	−	4.72317i	0.116014	−	0.432972i
$120$	2.14857	+	0.619385i	0.196137	+	0.0565419i
$121$	8.77806	+	5.06801i	0.798005	+	0.460729i
$122$			10.7898i			0.976863i
$123$	5.56378	−	9.63674i	0.501669	−	0.868916i
$124$	0.155153	+	0.579037i	0.0139331	+	0.0519991i
$125$	11.1624	+	0.632531i	0.998398	+	0.0565753i
$126$	−1.27707	+	2.21194i	−0.113770	+	0.197055i
$127$	−3.03020	+	11.3089i	−0.268887	+	1.00350i	0.690941	+	0.722911i	$0.257196\pi$
$127$	−3.03020	+	11.3089i	−0.268887	+	1.00350i	−0.959828	+	0.280589i	$0.909470\pi$
$128$	−0.866025	+	0.500000i	−0.0765466	+	0.0441942i
$129$	1.43441			0.126292
$130$	−0.450737	+	8.04965i	−0.0395323	+	0.706001i
$131$	−17.7688			−1.55247			−0.776234	−	0.630445i	$-0.782873\pi$
$131$	−17.7688			−1.55247			−0.776234	+	0.630445i	$0.782873\pi$
$132$	0.804972	−	0.464751i	0.0700638	−	0.0404513i
$133$	−0.219997	+	0.821042i	−0.0190762	+	0.0711933i
$134$	−6.90482	+	11.9595i	−0.596485	+	1.03314i
$135$	1.61069	−	1.55103i	0.138626	−	0.133491i
$136$	−0.495499	−	1.84923i	−0.0424887	−	0.158570i
$137$	6.01537	−	10.4189i	0.513928	−	0.890149i	−0.485942	−	0.873991i	$-0.661523\pi$
$137$	6.01537	−	10.4189i	0.513928	−	0.890149i	0.999869	−	0.0161576i	$-0.00514335\pi$
$138$			1.99435i			0.169770i
$139$	−2.12380	−	1.22618i	−0.180139	−	0.104003i	0.407219	−	0.913330i	$-0.366499\pi$
$139$	−2.12380	−	1.22618i	−0.180139	−	0.104003i	−0.587358	+	0.809327i	$0.699832\pi$
$140$	−2.76178	−	4.99905i	−0.233413	−	0.422497i
$141$	1.97309	−	7.36366i	0.166164	−	0.620132i
$142$	−9.71350	−	9.71350i	−0.815139	−	0.815139i
$143$	2.28032	+	2.45597i	0.190690	+	0.205378i
$144$			1.00000i			0.0833333i
$145$	−3.58006	+	1.97784i	−0.297308	+	0.164251i
$146$	8.08222	+	13.9988i	0.668889	+	1.15855i
$147$	−0.460182	+	0.123305i	−0.0379551	+	0.0101700i
$148$	7.10440			0.583978
$149$	1.16248	−	0.311485i	0.0952339	−	0.0255178i	−0.210887	−	0.977510i	$-0.567635\pi$
$149$	1.16248	−	0.311485i	0.0952339	−	0.0255178i	0.306121	+	0.951993i	$0.400969\pi$
$150$	1.11096	+	4.87501i	0.0907096	+	0.398043i
$151$	5.91323	+	5.91323i	0.481212	+	0.481212i	0.905518	−	0.424307i	$-0.139482\pi$
$151$	5.91323	+	5.91323i	0.481212	+	0.481212i	−0.424307	+	0.905518i	$0.639482\pi$
$152$	0.0861340	+	0.321456i	0.00698639	+	0.0260736i
$153$	−1.84923	−	0.495499i	−0.149501	−	0.0400587i
$154$	−2.29317	−	0.614454i	−0.184789	−	0.0495141i
$155$	−0.965549	+	0.929783i	−0.0775548	+	0.0746820i
$156$	−3.51489	+	0.803478i	−0.281416	+	0.0643297i
$157$	−0.229594	+	0.229594i	−0.0183236	+	0.0183236i	−0.716209	−	0.697886i	$-0.754124\pi$
$157$	−0.229594	+	0.229594i	−0.0183236	+	0.0183236i	0.697886	+	0.716209i	$0.254124\pi$
$158$	−5.31737	−	9.20995i	−0.423027	−	0.732705i
$159$	0.695526	−	0.401562i	0.0551588	−	0.0318460i
$160$	−1.91505	−	1.15437i	−0.151398	−	0.0912611i
$161$	3.60188	−	3.60188i	0.283868	−	0.283868i
$162$	0.866025	+	0.500000i	0.0680414	+	0.0392837i
$163$	11.3642	+	6.56113i	0.890114	+	0.513907i	0.873980	−	0.485963i	$-0.161531\pi$
$163$	11.3642	+	6.56113i	0.890114	+	0.513907i	0.0161339	+	0.999870i	$0.494864\pi$
$164$	−7.86837	+	7.86837i	−0.614416	+	0.614416i
$165$	1.78004	+	1.07299i	0.138576	+	0.0835321i
$166$	5.30455	−	3.06259i	0.411713	−	0.237703i
$167$	0.224532	+	0.388900i	0.0173748	+	0.0300940i	0.874582	−	0.484878i	$-0.161136\pi$
$167$	0.224532	+	0.388900i	0.0173748	+	0.0300940i	−0.857207	+	0.514972i	$0.827802\pi$
$168$	1.80604	−	1.80604i	0.139339	−	0.139339i
$169$	−5.64827	−	11.7088i	−0.434482	−	0.900680i
$170$	3.08360	−	2.96938i	0.236501	−	0.227741i
$171$	0.321456	+	0.0861340i	0.0245824	+	0.00658683i
$172$	−1.38553	−	0.371252i	−0.105646	−	0.0283077i
$173$	0.249162	+	0.929886i	0.0189435	+	0.0706979i	0.974751	−	0.223297i	$-0.0716819\pi$
$173$	0.249162	+	0.929886i	0.0189435	+	0.0706979i	−0.955807	+	0.293995i	$0.905015\pi$
$174$	−1.29340	−	1.29340i	−0.0980521	−	0.0980521i
$175$	6.79804	−	10.8109i	0.513884	−	0.817230i
$176$	−0.897829	+	0.240573i	−0.0676764	+	0.0181338i
$177$	5.31874			0.399781
$178$	−6.90537	+	1.85029i	−0.517580	+	0.138685i
$179$	−6.78999	−	11.7606i	−0.507507	−	0.879029i	−0.999962	−	0.00869064i	$-0.997234\pi$
$179$	−6.78999	−	11.7606i	−0.507507	−	0.879029i	0.492455	−	0.870338i	$-0.336100\pi$
$180$	−1.95724	+	1.08130i	−0.145884	+	0.0805952i
$181$			2.52719i			0.187844i	0.995580	+	0.0939222i	$0.0299405\pi$
$181$			2.52719i			0.187844i	−0.995580	+	0.0939222i	$0.970060\pi$
$182$	7.79915	+	4.89692i	0.578112	+	0.362984i
$183$	−7.62954	−	7.62954i	−0.563992	−	0.563992i
$184$	0.516175	−	1.92639i	0.0380529	−	0.142016i
$185$	7.68198	+	13.9050i	0.564790	+	1.02232i
$186$	−0.519150	−	0.299732i	−0.0380660	−	0.0219774i
$187$		−	1.77949i		−	0.130129i
$188$	−3.81171	+	6.60208i	−0.277998	+	0.481506i
$189$	−0.661058	−	2.46710i	−0.0480849	−	0.179455i
$190$	−0.536031	+	0.516175i	−0.0388878	+	0.0374473i
$191$	1.37683	−	2.38473i	0.0996236	−	0.172553i	−0.811905	−	0.583789i	$-0.801569\pi$
$191$	1.37683	−	2.38473i	0.0996236	−	0.172553i	0.911529	+	0.411236i	$0.134903\pi$
$192$	0.258819	−	0.965926i	0.0186787	−	0.0697097i
$193$	−4.30415	+	2.48500i	−0.309819	+	0.178874i	−0.646846	−	0.762621i	$-0.723912\pi$
$193$	−4.30415	+	2.48500i	−0.309819	+	0.178874i	0.337026	+	0.941495i	$0.390579\pi$
$194$	−2.25087			−0.161603
$195$	−5.37324	−	6.01068i	−0.384786	−	0.430434i
$196$	0.476415			0.0340296
$197$	21.3439	−	12.3229i	1.52069	−	0.877970i	0.520987	−	0.853565i	$-0.325564\pi$
$197$	21.3439	−	12.3229i	1.52069	−	0.877970i	0.999702	−	0.0244058i	$-0.00776939\pi$
$198$	−0.240573	+	0.897829i	−0.0170968	+	0.0638059i
$199$	5.90597	−	10.2294i	0.418663	−	0.725145i	−0.577142	−	0.816644i	$-0.695832\pi$
$199$	5.90597	−	10.2294i	0.418663	−	0.725145i	0.995805	+	0.0914981i	$0.0291655\pi$
$200$	0.188640	−	4.99644i	0.0133389	−	0.353302i
$201$	−3.57420	−	13.3391i	−0.252104	−	0.940866i
$202$	−5.98893	+	10.3731i	−0.421380	+	0.729852i
$203$			4.67186i			0.327900i
$204$	1.65797	+	0.957230i	0.116081	+	0.0670195i
$205$	−23.9084	−	6.89224i	−1.66983	−	0.481375i
$206$	3.79929	−	14.1792i	0.264709	−	0.987908i
$207$	−1.41022	−	1.41022i	−0.0980169	−	0.0980169i
$208$	3.60307	+	0.133619i	0.249828	+	0.00926482i
$209$			0.309334i			0.0213971i
$210$	5.48773	+	1.58199i	0.378690	+	0.109168i
$211$	5.99850	+	10.3897i	0.412954	+	0.715257i	0.995211	−	0.0977473i	$-0.0311637\pi$
$211$	5.99850	+	10.3897i	0.412954	+	0.715257i	−0.582257	+	0.813005i	$0.697830\pi$
$212$	−0.775759	+	0.207864i	−0.0532793	+	0.0142762i
$213$	13.7370			0.941241
$214$	9.22064	−	2.47066i	0.630310	−	0.168891i
$215$	−0.771543	−	3.11325i	−0.0526188	−	0.212322i
$216$	−0.707107	−	0.707107i	−0.0481125	−	0.0481125i
$217$	0.396280	+	1.47894i	0.0269012	+	0.100397i
$218$	−6.24137	−	1.67237i	−0.422719	−	0.113267i
$219$	−15.6136	−	4.18366i	−1.05507	−	0.282706i
$220$	−1.44168	−	1.49714i	−0.0971980	−	0.100937i
$221$	−2.03241	+	6.59669i	−0.136715	+	0.443742i
$222$	−5.02357	+	5.02357i	−0.337160	+	0.337160i
$223$	−3.91139	−	6.77473i	−0.261926	−	0.453670i	0.704827	−	0.709379i	$-0.251024\pi$
$223$	−3.91139	−	6.77473i	−0.261926	−	0.453670i	−0.966754	+	0.255709i	$0.917691\pi$
$224$	−2.21194	+	1.27707i	−0.147792	+	0.0853275i
$225$	−4.23272	−	2.66159i	−0.282182	−	0.177439i
$226$	10.5223	−	10.5223i	0.699931	−	0.699931i
$227$	3.50733	+	2.02496i	0.232790	+	0.134401i	0.611858	−	0.790967i	$-0.290422\pi$
$227$	3.50733	+	2.02496i	0.232790	+	0.134401i	−0.379069	+	0.925369i	$0.623756\pi$
$228$	−0.288210	−	0.166398i	−0.0190872	−	0.0110200i
$229$	9.46902	−	9.46902i	0.625731	−	0.625731i	−0.321260	−	0.946991i	$-0.604106\pi$
$229$	9.46902	−	9.46902i	0.625731	−	0.625731i	0.946991	+	0.321260i	$0.104106\pi$
$230$	4.32855	−	1.07273i	0.285416	−	0.0707334i
$231$	2.05600	−	1.18703i	0.135275	−	0.0781011i
$232$	0.914569	+	1.58408i	0.0600444	+	0.104000i
$233$	−6.50570	+	6.50570i	−0.426202	+	0.426202i	−0.887333	−	0.461130i	$-0.847444\pi$
$233$	−6.50570	+	6.50570i	−0.426202	+	0.426202i	0.461130	+	0.887333i	$0.347444\pi$
$234$	1.91725	−	3.05354i	0.125335	−	0.199616i
$235$	−17.0435	−	0.321623i	−1.11179	−	0.0209803i
$236$	−5.13751	−	1.37659i	−0.334424	−	0.0896085i
$237$	10.2724	+	2.75247i	0.667262	+	0.178792i
$238$	−1.26557	−	4.72317i	−0.0820346	−	0.306157i
$239$	−5.17196	−	5.17196i	−0.334547	−	0.334547i	0.519764	−	0.854310i	$-0.326020\pi$
$239$	−5.17196	−	5.17196i	−0.334547	−	0.334547i	−0.854310	+	0.519764i	$0.826020\pi$
$240$	2.17041	−	0.537883i	0.140099	−	0.0347202i
$241$	23.3556	−	6.25813i	1.50447	−	0.403121i	0.589875	−	0.807494i	$-0.299177\pi$
$241$	23.3556	−	6.25813i	1.50447	−	0.403121i	0.914594	+	0.404373i	$0.132510\pi$
$242$	10.1360			0.651569
$243$	−0.965926	+	0.258819i	−0.0619642	+	0.0166032i
$244$	5.39490	+	9.34424i	0.345373	+	0.598204i
$245$	0.515147	+	0.932459i	0.0329115	+	0.0595726i
$246$		−	11.1276i		−	0.709467i
$247$	0.353300	−	1.14672i	0.0224799	−	0.0729642i
$248$	0.423885	+	0.423885i	0.0269167	+	0.0269167i
$249$	−1.58531	+	5.91646i	−0.100465	+	0.374940i
$250$	9.98322	−	5.03343i	0.631394	−	0.318342i
$251$	14.7980	+	8.54362i	0.934041	+	0.539269i	0.888087	−	0.459675i	$-0.152034\pi$
$251$	14.7980	+	8.54362i	0.934041	+	0.539269i	0.0459534	+	0.998944i	$0.485367\pi$
$252$			2.55413i			0.160895i
$253$	0.926874	−	1.60539i	0.0582721	−	0.100930i
$254$	3.03020	+	11.3089i	0.190132	+	0.709582i
$255$	−0.0807686	+	4.28010i	−0.00505793	+	0.268030i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−3.95589	+	14.7636i	−0.246762	+	0.920928i	0.725728	+	0.687982i	$0.241503\pi$
$257$	−3.95589	+	14.7636i	−0.246762	+	0.920928i	−0.972490	+	0.232946i	$0.925164\pi$
$258$	1.24223	−	0.717203i	0.0773380	−	0.0446511i
$259$	18.1456			1.12751
$260$	3.63447	+	7.19657i	0.225401	+	0.446312i
$261$	1.82914			0.113221
$262$	−15.3882	+	8.88441i	−0.950689	+	0.548880i
$263$	−4.96189	+	18.5180i	−0.305963	+	1.14187i	0.626150	+	0.779703i	$0.284630\pi$
$263$	−4.96189	+	18.5180i	−0.305963	+	1.14187i	−0.932113	+	0.362168i	$0.882037\pi$
$264$	0.464751	−	0.804972i	0.0286034	−	0.0495426i
$265$	−1.24567	−	1.29358i	−0.0765207	−	0.0794643i
$266$	0.219997	+	0.821042i	0.0134889	+	0.0503413i
$267$	3.57448	−	6.19119i	0.218755	−	0.378895i
$268$			13.8096i			0.843558i
$269$	23.7925	+	13.7366i	1.45066	+	0.837537i	0.998519	−	0.0544117i	$-0.0173283\pi$
$269$	23.7925	+	13.7366i	1.45066	+	0.837537i	0.452137	+	0.891948i	$0.350662\pi$
$270$	0.619385	−	2.14857i	0.0376946	−	0.130758i
$271$	3.85790	−	14.3979i	0.234351	−	0.874608i	−0.744090	−	0.668080i	$-0.767117\pi$
$271$	3.85790	−	14.3979i	0.234351	−	0.874608i	0.978440	−	0.206529i	$-0.0662168\pi$
$272$	−1.35373	−	1.35373i	−0.0820818	−	0.0820818i
$273$	−8.97748	+	2.05219i	−0.543342	+	0.124204i
$274$		−	12.0307i		−	0.726803i
$275$	1.37137	−	4.44057i	0.0826969	−	0.267776i
$276$	0.997174	+	1.72716i	0.0600228	+	0.103963i
$277$	14.9968	−	4.01837i	0.901068	−	0.241440i	0.221593	−	0.975139i	$-0.428874\pi$
$277$	14.9968	−	4.01837i	0.901068	−	0.241440i	0.679475	+	0.733699i	$0.262208\pi$
$278$	−2.45236			−0.147083
$279$	0.579037	−	0.155153i	0.0346660	−	0.00928874i
$280$	−4.89130	−	2.94842i	−0.292311	−	0.176202i
$281$	−0.565871	−	0.565871i	−0.0337570	−	0.0337570i	0.690027	−	0.723784i	$-0.257599\pi$
$281$	−0.565871	−	0.565871i	−0.0337570	−	0.0337570i	−0.723784	+	0.690027i	$0.757599\pi$
$282$	−1.97309	−	7.36366i	−0.117496	−	0.438500i
$283$	29.3068	+	7.85273i	1.74211	+	0.466796i	0.982913	−	0.184068i	$-0.0589268\pi$
$283$	29.3068	+	7.85273i	1.74211	+	0.466796i	0.759194	+	0.650865i	$0.225593\pi$
$284$	−13.2689	−	3.55539i	−0.787363	−	0.210973i
$285$	0.0140402	−	0.744022i	0.000831673	−	0.0440721i
$286$	3.20280	+	0.986768i	0.189386	+	0.0583488i
$287$	−20.0968	+	20.0968i	−1.18628	+	1.18628i
$288$	0.500000	+	0.866025i	0.0294628	+	0.0510310i
$289$	−11.5483	+	6.66742i	−0.679313	+	0.392201i
$290$	−2.11150	+	3.50290i	−0.123992	+	0.205697i
$291$	1.59161	−	1.59161i	0.0933017	−	0.0933017i
$292$	13.9988	+	8.08222i	0.819219	+	0.472976i
$293$	18.3481	+	10.5933i	1.07190	+	0.618864i	0.928701	−	0.370829i	$-0.120926\pi$
$293$	18.3481	+	10.5933i	1.07190	+	0.618864i	0.143203	+	0.989693i	$0.454260\pi$
$294$	−0.336876	+	0.336876i	−0.0196470	+	0.0196470i
$295$	−2.86086	−	11.5439i	−0.166566	−	0.672109i
$296$	6.15259	−	3.55220i	0.357612	−	0.206467i
$297$	−0.464751	−	0.804972i	−0.0269676	−	0.0467092i
$298$	0.850993	−	0.850993i	0.0492967	−	0.0492967i
$299$	−5.26955	+	4.89269i	−0.304746	+	0.282951i
$300$	3.39963	+	3.66641i	0.196278	+	0.211680i
$301$	−3.53883	−	0.948226i	−0.203975	−	0.0546548i
$302$	8.07762	+	2.16439i	0.464815	+	0.124547i
$303$	−3.10010	−	11.5697i	−0.178096	−	0.664664i
$304$	0.235322	+	0.235322i	0.0134967	+	0.0134967i
$305$	−12.4554	+	20.6630i	−0.713196	+	1.18316i
$306$	−1.84923	+	0.495499i	−0.105713	+	0.0283258i
$307$	−28.2873			−1.61444			−0.807222	−	0.590249i	$-0.799030\pi$
$307$	−28.2873			−1.61444			−0.807222	+	0.590249i	$0.799030\pi$
$308$	−2.29317	+	0.614454i	−0.130666	+	0.0350118i
$309$	7.33967	+	12.7127i	0.417539	+	0.723199i
$310$	−0.371299	+	1.28799i	−0.0210883	+	0.0731529i
$311$			5.66700i			0.321346i	0.987008	+	0.160673i	$0.0513665\pi$
$311$			5.66700i			0.321346i	−0.987008	+	0.160673i	$0.948634\pi$
$312$	−2.64224	+	2.45328i	−0.149587	+	0.138889i
$313$	−12.2045	−	12.2045i	−0.689841	−	0.689841i	0.272356	−	0.962197i	$-0.412197\pi$
$313$	−12.2045	−	12.2045i	−0.689841	−	0.689841i	−0.962197	+	0.272356i	$0.912197\pi$
$314$	−0.0840373	+	0.313631i	−0.00474250	+	0.0176992i
$315$	−4.99905	+	2.76178i	−0.281665	+	0.155609i
$316$	−9.20995	−	5.31737i	−0.518100	−	0.299125i
$317$		−	20.4521i		−	1.14870i	−0.818609	−	0.574351i	$-0.805254\pi$
$317$		−	20.4521i		−	1.14870i	0.818609	−	0.574351i	$-0.194746\pi$
$318$	0.401562	−	0.695526i	0.0225185	−	0.0390032i
$319$	0.440041	+	1.64225i	0.0246375	+	0.0919486i
$320$	−2.23567	−	0.0421887i	−0.124978	−	0.00235842i
$321$	−4.77296	+	8.26700i	−0.266400	+	0.461419i
$322$	1.31838	−	4.92026i	0.0734704	−	0.274195i
$323$	−0.551766	+	0.318562i	−0.0307011	+	0.0177253i
$324$	1.00000			0.0555556
$325$	−10.1555	+	14.8952i	−0.563324	+	0.826236i
$326$	13.1223			0.726775
$327$	5.59586	−	3.23077i	0.309452	−	0.178662i
$328$	−2.88002	+	10.7484i	−0.159023	+	0.593481i
$329$	−9.73561	+	16.8626i	−0.536742	+	0.929664i
$330$	2.07806	+	0.0392145i	0.114393	+	0.00215869i
$331$	−8.55872	−	31.9416i	−0.470430	−	1.75567i	−0.638229	−	0.769847i	$-0.720333\pi$
$331$	−8.55872	−	31.9416i	−0.470430	−	1.75567i	0.167799	−	0.985821i	$-0.446334\pi$
$332$	3.06259	−	5.30455i	0.168081	−	0.291125i
$333$		−	7.10440i		−	0.389319i
$334$	0.388900	+	0.224532i	0.0212797	+	0.0122858i
$335$	−27.0288	+	14.9323i	−1.47674	+	0.815841i
$336$	0.661058	−	2.46710i	0.0360637	−	0.134591i
$337$	−24.5644	−	24.5644i	−1.33811	−	1.33811i	−0.897889	−	0.440221i	$-0.854900\pi$
$337$	−24.5644	−	24.5644i	−1.33811	−	1.33811i	−0.440221	−	0.897889i	$-0.645100\pi$
$338$	−10.7460	−	7.31602i	−0.584504	−	0.397939i
$339$			14.8807i			0.808211i
$340$	1.18579	−	4.11336i	0.0643084	−	0.223078i
$341$	0.278601	+	0.482551i	0.0150871	+	0.0261316i
$342$	0.321456	−	0.0861340i	0.0173824	−	0.00465759i
$343$	19.0957			1.03107
$344$	−1.38553	+	0.371252i	−0.0747028	+	0.0200166i
$345$	−2.30222	+	3.81928i	−0.123947	+	0.205623i
$346$	0.680724	+	0.680724i	0.0365959	+	0.0365959i
$347$	−1.18137	−	4.40894i	−0.0634193	−	0.236684i	0.926939	−	0.375211i	$-0.122430\pi$
$347$	−1.18137	−	4.40894i	−0.0634193	−	0.236684i	−0.990359	+	0.138527i	$0.955763\pi$
$348$	−1.76681	−	0.473416i	−0.0947111	−	0.0253778i
$349$	17.4957	+	4.68796i	0.936524	+	0.250941i	0.694634	−	0.719363i	$-0.255566\pi$
$349$	17.4957	+	4.68796i	0.936524	+	0.250941i	0.241890	+	0.970304i	$0.422233\pi$
$350$	0.481812	−	12.7616i	0.0257539	−	0.682134i
$351$	0.803478	+	3.51489i	0.0428865	+	0.187611i
$352$	−0.657257	+	0.657257i	−0.0350319	+	0.0350319i
$353$	−16.1383	−	27.9524i	−0.858958	−	1.48776i	−0.872924	−	0.487856i	$-0.837779\pi$
$353$	−16.1383	−	27.9524i	−0.858958	−	1.48776i	0.0139668	−	0.999902i	$-0.495554\pi$
$354$	4.60617	−	2.65937i	0.244815	−	0.141344i
$355$	−7.38887	−	29.8148i	−0.392161	−	1.58241i
$356$	−5.05508	+	5.05508i	−0.267919	+	0.267919i
$357$	4.23468	+	2.44489i	0.224123	+	0.129397i
$358$	−11.7606	−	6.78999i	−0.621567	−	0.358862i
$359$	12.8729	−	12.8729i	0.679404	−	0.679404i	−0.280461	−	0.959865i	$-0.590487\pi$
$359$	12.8729	−	12.8729i	0.679404	−	0.679404i	0.959865	+	0.280461i	$0.0904874\pi$
$360$	−1.15437	+	1.91505i	−0.0608407	+	0.100932i
$361$	−16.3586	+	9.44462i	−0.860977	+	0.497085i
$362$	1.26359	+	2.18861i	0.0664130	+	0.115031i
$363$	−7.16725	+	7.16725i	−0.376183	+	0.376183i
$364$	9.20272	+	0.341281i	0.482354	+	0.0178880i
$365$	−0.681957	+	36.1383i	−0.0356953	+	1.89157i
$366$	−10.4221	−	2.79261i	−0.544774	−	0.145972i
$367$	−1.72948	−	0.463412i	−0.0902779	−	0.0241899i	0.213397	−	0.976965i	$-0.431547\pi$
$367$	−1.72948	−	0.463412i	−0.0902779	−	0.0241899i	−0.303675	+	0.952776i	$0.598214\pi$
$368$	−0.516175	−	1.92639i	−0.0269075	−	0.100420i
$369$	7.86837	+	7.86837i	0.409611	+	0.409611i
$370$	13.6053	+	8.20112i	0.707306	+	0.426356i
$371$	−1.98139	+	0.530912i	−0.102869	+	0.0275636i
$372$	−0.599463			−0.0310807
$373$	−21.9687	+	5.88650i	−1.13750	+	0.304792i	−0.777945	−	0.628333i	$-0.783738\pi$
$373$	−21.9687	+	5.88650i	−1.13750	+	0.304792i	−0.359553	+	0.933125i	$0.617071\pi$
$374$	−0.889746	−	1.54109i	−0.0460077	−	0.0796877i
$375$	−3.50003	+	10.6184i	−0.180741	+	0.548330i
$376$			7.62342i			0.393148i
$377$	0.244408	−	6.59052i	0.0125876	−	0.339429i
$378$	−1.80604	−	1.80604i	−0.0928928	−	0.0928928i
$379$	−8.36754	+	31.2281i	−0.429812	+	1.60408i	0.323373	+	0.946271i	$0.395183\pi$
$379$	−8.36754	+	31.2281i	−0.429812	+	1.60408i	−0.753185	+	0.657808i	$0.771484\pi$
$380$	−0.206129	+	0.715036i	−0.0105742	+	0.0366806i
$381$	−10.1393	−	5.85390i	−0.519450	−	0.299904i
$382$		−	2.75365i		−	0.140889i
$383$	−17.7620	+	30.7647i	−0.907596	+	1.57200i	−0.0902021	+	0.995923i	$0.528751\pi$
$383$	−17.7620	+	30.7647i	−0.907596	+	1.57200i	−0.817394	+	0.576079i	$0.804582\pi$
$384$	−0.258819	−	0.965926i	−0.0132078	−	0.0492922i
$385$	−3.68224	−	3.82389i	−0.187664	−	0.194883i
$386$	−2.48500	+	4.30415i	−0.126483	+	0.219075i
$387$	−0.371252	+	1.38553i	−0.0188718	+	0.0704305i
$388$	−1.94931	+	1.12544i	−0.0989614	+	0.0571354i
$389$	32.1529			1.63022			0.815108	−	0.579308i	$-0.196677\pi$
$389$	32.1529			1.63022			0.815108	+	0.579308i	$0.196677\pi$
$390$	−7.65870	−	2.51878i	−0.387814	−	0.127543i
$391$	3.81810			0.193090
$392$	0.412587	−	0.238207i	0.0208388	−	0.0120313i
$393$	4.59891	−	17.1634i	0.231984	−	0.865777i
$394$	12.3229	−	21.3439i	0.620819	−	1.07529i
$395$	0.448666	−	23.7758i	0.0225748	−	1.19629i
$396$	0.240573	+	0.897829i	0.0120892	+	0.0451176i
$397$	3.12843	−	5.41860i	0.157012	−	0.271952i	−0.776778	−	0.629774i	$-0.783147\pi$
$397$	3.12843	−	5.41860i	0.157012	−	0.271952i	0.933790	+	0.357822i	$0.116481\pi$
$398$		−	11.8119i		−	0.592079i
$399$	−0.736126	−	0.425002i	−0.0368524	−	0.0212767i
$400$	−2.33485	−	4.42136i	−0.116743	−	0.221068i
$401$	0.723508	−	2.70017i	0.0361303	−	0.134840i	−0.945505	−	0.325608i	$-0.894431\pi$
$401$	0.723508	−	2.70017i	0.0361303	−	0.134840i	0.981635	+	0.190768i	$0.0610977\pi$
$402$	−9.76488	−	9.76488i	−0.487028	−	0.487028i
$403$	−0.481656	−	2.10705i	−0.0239930	−	0.104959i
$404$			11.9779i			0.595921i
$405$	1.08130	+	1.95724i	0.0537302	+	0.0972561i
$406$	2.33593	+	4.04595i	0.115930	+	0.200797i
$407$	6.37854	−	1.70912i	0.316172	−	0.0847181i
$408$	1.91446			0.0947799
$409$	−29.3782	+	7.87186i	−1.45266	+	0.389238i	−0.896947	−	0.442138i	$-0.854220\pi$
$409$	−29.3782	+	7.87186i	−1.45266	+	0.389238i	−0.555710	+	0.831376i	$0.687554\pi$
$410$	−24.1514	+	5.98532i	−1.19275	+	0.295594i
$411$	8.50702	+	8.50702i	0.419620	+	0.419620i
$412$	−3.79929	−	14.1792i	−0.187178	−	0.698557i
$413$	−13.1219	−	3.51600i	−0.645686	−	0.173011i
$414$	−1.92639	−	0.516175i	−0.0946770	−	0.0253686i
$415$	13.6939	+	0.258413i	0.672205	+	0.0126850i
$416$	3.18716	−	1.68582i	0.156264	−	0.0826541i
$417$	1.73408	−	1.73408i	0.0849182	−	0.0849182i
$418$	0.154667	+	0.267891i	0.00756502	+	0.0131030i
$419$	−15.8112	+	9.12861i	−0.772429	+	0.445962i	−0.833740	−	0.552157i	$-0.813805\pi$
$419$	−15.8112	+	9.12861i	−0.772429	+	0.445962i	0.0613116	+	0.998119i	$0.480472\pi$
$420$	5.54351	−	1.37382i	0.270496	−	0.0670357i
$421$	6.76657	−	6.76657i	0.329782	−	0.329782i	−0.522721	−	0.852504i	$-0.675083\pi$
$421$	6.76657	−	6.76657i	0.329782	−	0.329782i	0.852504	+	0.522721i	$0.175083\pi$
$422$	10.3897	+	5.99850i	0.505763	+	0.292003i
$423$	6.60208	+	3.81171i	0.321004	+	0.185332i
$424$	−0.567895	+	0.567895i	−0.0275794	+	0.0275794i
$425$	9.33302	−	2.12689i	0.452718	−	0.103169i
$426$	11.8966	−	6.86848i	0.576390	−	0.332779i
$427$	13.7793	+	23.8664i	0.666826	+	1.15498i
$428$	6.74998	−	6.74998i	0.326273	−	0.326273i
$429$	−2.96247	+	1.56697i	−0.143030	+	0.0756541i
$430$	−2.22480	−	2.31038i	−0.107289	−	0.111417i
$431$	−28.8494	−	7.73016i	−1.38962	−	0.372349i	−0.515017	−	0.857180i	$-0.672214\pi$
$431$	−28.8494	−	7.73016i	−1.38962	−	0.372349i	−0.874608	+	0.484831i	$0.838881\pi$
$432$	−0.965926	−	0.258819i	−0.0464731	−	0.0124524i
$433$	3.56587	+	13.3080i	0.171365	+	0.639542i	0.997142	+	0.0755462i	$0.0240700\pi$
$433$	3.56587	+	13.3080i	0.171365	+	0.639542i	−0.825777	+	0.563996i	$0.809263\pi$
$434$	1.08266	+	1.08266i	0.0519692	+	0.0519692i
$435$	−0.983862	−	3.96998i	−0.0471726	−	0.190346i
$436$	−6.24137	+	1.67237i	−0.298907	+	0.0800920i
$437$	−0.663711			−0.0317496
$438$	−15.6136	+	4.18366i	−0.746049	+	0.199903i
$439$	−2.23458	−	3.87040i	−0.106651	−	0.184724i	0.807761	−	0.589510i	$-0.200679\pi$
$439$	−2.23458	−	3.87040i	−0.106651	−	0.184724i	−0.914411	+	0.404786i	$0.867346\pi$
$440$	−1.99710	−	0.575719i	−0.0952080	−	0.0274463i
$441$		−	0.476415i		−	0.0226864i
$442$	1.53823	+	6.72911i	0.0731660	+	0.320071i
$443$	−23.1131	−	23.1131i	−1.09814	−	1.09814i	−0.994629	−	0.103506i	$-0.966994\pi$
$443$	−23.1131	−	23.1131i	−1.09814	−	1.09814i	−0.103506	−	0.994629i	$-0.533006\pi$
$444$	−1.83875	+	6.86232i	−0.0872634	+	0.325672i
$445$	−15.3601	−	4.42797i	−0.728137	−	0.209906i
$446$	−6.77473	−	3.91139i	−0.320793	−	0.185210i
$447$			1.20349i			0.0569229i
$448$	−1.27707	+	2.21194i	−0.0603357	+	0.104504i
$449$	1.98138	+	7.39460i	0.0935070	+	0.348973i	0.996789	−	0.0800748i	$-0.0255159\pi$
$449$	1.98138	+	7.39460i	0.0935070	+	0.348973i	−0.903282	+	0.429048i	$0.858849\pi$
$450$	−4.99644	−	0.188640i	−0.235534	−	0.00889258i
$451$	−5.17154	+	8.95737i	−0.243518	+	0.421786i
$452$	3.85142	−	14.3737i	0.181156	−	0.676082i
$453$	−7.24220	+	4.18128i	−0.340268	+	0.196454i
$454$	4.04991			0.190072
$455$	9.28292	+	18.3810i	0.435190	+	0.861714i
$456$	−0.332796			−0.0155846
$457$	16.1951	−	9.35023i	0.757573	−	0.437385i	−0.0708504	−	0.997487i	$-0.522571\pi$
$457$	16.1951	−	9.35023i	0.757573	−	0.437385i	0.828424	+	0.560102i	$0.189238\pi$
$458$	3.46590	−	12.9349i	0.161951	−	0.604409i
$459$	0.957230	−	1.65797i	0.0446797	−	0.0773875i
$460$	3.21228	−	3.09328i	0.149773	−	0.144225i
$461$	−0.327935	−	1.22387i	−0.0152735	−	0.0570014i	0.957869	−	0.287207i	$-0.0927268\pi$
$461$	−0.327935	−	1.22387i	−0.0152735	−	0.0570014i	−0.973142	+	0.230206i	$0.926060\pi$
$462$	1.18703	−	2.05600i	0.0552258	−	0.0956539i
$463$			17.7535i			0.825074i	0.910941	+	0.412537i	$0.135357\pi$
$463$			17.7535i			0.825074i	−0.910941	+	0.412537i	$0.864643\pi$
$464$	1.58408	+	0.914569i	0.0735391	+	0.0424578i
$465$	−0.648199	−	1.17329i	−0.0300595	−	0.0544102i
$466$	−2.38125	+	8.88695i	−0.110309	+	0.411680i
$467$	−13.0166	−	13.0166i	−0.602337	−	0.602337i	0.338595	−	0.940932i	$-0.390048\pi$
$467$	−13.0166	−	13.0166i	−0.602337	−	0.602337i	−0.940932	+	0.338595i	$0.890048\pi$
$468$	0.133619	−	3.60307i	0.00617654	−	0.166552i
$469$			35.2716i			1.62869i
$470$	−14.9209	+	8.24320i	−0.688249	+	0.380230i
$471$	−0.162348	−	0.281194i	−0.00748058	−	0.0129567i
$472$	−5.13751	+	1.37659i	−0.236473	+	0.0633628i
$473$	−1.33328			−0.0613044
$474$	10.2724	−	2.75247i	0.471826	−	0.126425i
$475$	−1.62239	+	0.369724i	−0.0744402	+	0.0169641i
$476$	−3.45760	−	3.45760i	−0.158479	−	0.158479i
$477$	0.207864	+	0.775759i	0.00951744	+	0.0355196i
$478$	−7.06504	−	1.89307i	−0.323147	−	0.0865870i
$479$	41.7863	+	11.1966i	1.90927	+	0.511586i	0.994094	+	0.108524i	$0.0346124\pi$
$479$	41.7863	+	11.1966i	1.90927	+	0.511586i	0.915173	+	0.403062i	$0.132054\pi$
$480$	1.61069	−	1.55103i	0.0735176	−	0.0707943i
$481$	−25.5977	−	0.949283i	−1.16715	−	0.0432836i
$482$	17.0975	−	17.0975i	0.778771	−	0.778771i
$483$	2.54691	+	4.41138i	0.115889	+	0.200725i
$484$	8.77806	−	5.06801i	0.399003	−	0.230364i
$485$	−4.31054	−	2.59835i	−0.195732	−	0.117985i
$486$	−0.707107	+	0.707107i	−0.0320750	+	0.0320750i
$487$	−27.0780	−	15.6335i	−1.22702	−	0.708421i	−0.260616	−	0.965443i	$-0.583926\pi$
$487$	−27.0780	−	15.6335i	−1.22702	−	0.708421i	−0.966406	+	0.257022i	$0.917259\pi$
$488$	9.34424	+	5.39490i	0.422994	+	0.244216i
$489$	−9.27884	+	9.27884i	−0.419604	+	0.419604i
$490$	0.912360	+	0.549960i	0.0412162	+	0.0248447i
$491$	12.4315	−	7.17735i	0.561028	−	0.323909i	−0.192530	−	0.981291i	$-0.561669\pi$
$491$	12.4315	−	7.17735i	0.561028	−	0.323909i	0.753558	+	0.657382i	$0.228336\pi$
$492$	−5.56378	−	9.63674i	−0.250834	−	0.434458i
$493$	−2.47615	+	2.47615i	−0.111520	+	0.111520i
$494$	−0.267394	−	1.16974i	−0.0120306	−	0.0526291i
$495$	−1.49714	+	1.44168i	−0.0672913	+	0.0647987i
$496$	0.579037	+	0.155153i	0.0259995	+	0.00696655i
$497$	−33.8905	−	9.08092i	−1.52020	−	0.407335i
$498$	1.58531	+	5.91646i	0.0710395	+	0.265123i
$499$	8.35744	+	8.35744i	0.374130	+	0.374130i	0.868979	−	0.494849i	$-0.164777\pi$
$499$	8.35744	+	8.35744i	0.374130	+	0.374130i	−0.494849	+	0.868979i	$0.664777\pi$
$500$	6.12900	−	9.35068i	0.274097	−	0.418175i
$501$	−0.433762	+	0.116226i	−0.0193790	+	0.00519260i
$502$	17.0872			0.762641
$503$	4.77153	−	1.27853i	0.212752	−	0.0570067i	−0.150869	−	0.988554i	$-0.548207\pi$
$503$	4.77153	−	1.27853i	0.212752	−	0.0570067i	0.363621	+	0.931547i	$0.381540\pi$
$504$	1.27707	+	2.21194i	0.0568850	+	0.0985277i
$505$	−23.4436	+	12.9517i	−1.04323	+	0.576341i
$506$		−	1.85375i		−	0.0824092i
$507$	12.7718	−	2.42534i	0.567214	−	0.107713i
$508$	8.27867	+	8.27867i	0.367306	+	0.367306i
$509$	6.96943	−	26.0103i	0.308915	−	1.15288i	−0.620608	−	0.784121i	$-0.713114\pi$
$509$	6.96943	−	26.0103i	0.308915	−	1.15288i	0.929523	−	0.368764i	$-0.120219\pi$
$510$	2.07010	+	3.74706i	0.0916657	+	0.165923i
$511$	35.7548	+	20.6430i	1.58170	+	0.913195i
$512$			1.00000i			0.0441942i
$513$	−0.166398	+	0.288210i	−0.00734665	+	0.0127248i
$514$	3.95589	+	14.7636i	0.174487	+	0.651194i
$515$	23.6439	−	22.7680i	1.04187	−	1.00328i
$516$	0.717203	−	1.24223i	0.0315731	−	0.0546862i
$517$	−1.83399	+	6.84453i	−0.0806586	+	0.301022i
$518$	15.7145	−	9.07279i	0.690457	−	0.398635i
$519$	−0.962689			−0.0422574
$520$	6.74583	+	4.41517i	0.295824	+	0.193618i
$521$	25.9589			1.13728			0.568641	−	0.822586i	$-0.307469\pi$
$521$	25.9589			1.13728			0.568641	+	0.822586i	$0.307469\pi$
$522$	1.58408	−	0.914569i	0.0693333	−	0.0400296i
$523$	−7.13667	+	26.6344i	−0.312065	+	1.16464i	0.614627	+	0.788818i	$0.289307\pi$
$523$	−7.13667	+	26.6344i	−0.312065	+	1.16464i	−0.926691	+	0.375823i	$0.877360\pi$
$524$	−8.88441	+	15.3882i	−0.388117	+	0.672238i
$525$	8.68310	+	9.36448i	0.378961	+	0.408699i
$526$	4.96189	+	18.5180i	0.216349	+	0.807425i
$527$	−0.573824	+	0.993893i	−0.0249962	+	0.0432947i
$528$		−	0.929501i		−	0.0404513i
$529$	−16.4740	−	9.51129i	−0.716262	−	0.413534i
$530$	−1.72557	−	0.497444i	−0.0749540	−	0.0216076i
$531$	−1.37659	+	5.13751i	−0.0597390	+	0.222949i
$532$	0.601044	+	0.601044i	0.0260586	+	0.0260586i
$533$	29.4017	−	27.2990i	1.27353	−	1.18245i
$534$		−	7.14897i		−	0.309366i
$535$	20.5101	+	5.91260i	0.886728	+	0.255624i
$536$	6.90482	+	11.9595i	0.298243	+	0.516571i
$537$	13.1172	−	3.51476i	0.566051	−	0.151673i
$538$	27.4732			1.18446
$539$	0.427739	−	0.114612i	0.0184240	−	0.00493671i
$540$	−0.537883	−	2.17041i	−0.0231468	−	0.0933996i
$541$	−8.08512	−	8.08512i	−0.347606	−	0.347606i	0.511611	−	0.859217i	$-0.329049\pi$
$541$	−8.08512	−	8.08512i	−0.347606	−	0.347606i	−0.859217	+	0.511611i	$0.829049\pi$
$542$	−3.85790	−	14.3979i	−0.165711	−	0.618442i
$543$	−2.44108	−	0.654084i	−0.104757	−	0.0280694i
$544$	−1.84923	−	0.495499i	−0.0792849	−	0.0212443i
$545$	−10.0220	−	10.4075i	−0.429296	−	0.445810i
$546$	−6.74863	+	6.26599i	−0.288815	+	0.268159i
$547$	26.7394	−	26.7394i	1.14329	−	1.14329i	0.155449	−	0.987844i	$-0.450318\pi$
$547$	26.7394	−	26.7394i	1.14329	−	1.14329i	0.987844	−	0.155449i	$-0.0496824\pi$
$548$	−6.01537	−	10.4189i	−0.256964	−	0.445074i
$549$	9.34424	−	5.39490i	0.398802	−	0.230249i
$550$	−1.03264	−	4.53133i	−0.0440319	−	0.193217i
$551$	0.430437	−	0.430437i	0.0183372	−	0.0183372i
$552$	1.72716	+	0.997174i	0.0735126	+	0.0424425i
$553$	−23.5234	−	13.5813i	−1.00032	−	0.577534i
$554$	10.9784	−	10.9784i	0.466427	−	0.466427i
$555$	−15.4195	+	3.82134i	−0.654520	+	0.162207i
$556$	−2.12380	+	1.22618i	−0.0900694	+	0.0520016i
$557$	6.30086	+	10.9134i	0.266976	+	0.462416i	0.968079	−	0.250644i	$-0.0806422\pi$
$557$	6.30086	+	10.9134i	0.266976	+	0.462416i	−0.701103	+	0.713060i	$0.747309\pi$
$558$	0.423885	−	0.423885i	0.0179445	−	0.0179445i
$559$	4.94256	+	1.52278i	0.209048	+	0.0644068i
$560$	−5.71019	−	0.107756i	−0.241300	−	0.00455350i
$561$	1.71886	+	0.460567i	0.0725702	+	0.0194451i
$562$	−0.772994	−	0.207123i	−0.0326068	−	0.00873696i
$563$	6.90739	+	25.7787i	0.291112	+	1.08644i	0.944256	+	0.329211i	$0.106783\pi$
$563$	6.90739	+	25.7787i	0.291112	+	1.08644i	−0.653144	+	0.757233i	$0.726551\pi$
$564$	−5.39057	−	5.39057i	−0.226984	−	0.226984i
$565$	32.2973	−	8.00410i	1.35876	−	0.336735i
$566$	29.3068	−	7.85273i	1.23186	−	0.330075i
$567$	2.55413			0.107263
$568$	−13.2689	+	3.55539i	−0.556750	+	0.149181i
$569$	−12.4597	−	21.5808i	−0.522337	−	0.904715i	−0.999662	−	0.0259877i	$-0.991727\pi$
$569$	−12.4597	−	21.5808i	−0.522337	−	0.904715i	0.477325	−	0.878727i	$-0.341606\pi$
$570$	−0.359852	−	0.651362i	−0.0150725	−	0.0272826i
$571$			28.5531i			1.19491i	0.801903	+	0.597455i	$0.203821\pi$
$571$			28.5531i			1.19491i	−0.801903	+	0.597455i	$0.796179\pi$
$572$	3.26709	−	0.746834i	0.136604	−	0.0312267i
$573$	1.94713	+	1.94713i	0.0813424	+	0.0813424i
$574$	−7.35596	+	27.4528i	−0.307032	+	1.14586i
$575$	9.52773	+	2.94243i	0.397334	+	0.122708i
$576$	0.866025	+	0.500000i	0.0360844	+	0.0208333i
$577$		−	5.57578i		−	0.232123i	−0.993242	−	0.116061i	$-0.962973\pi$
$577$		−	5.57578i		−	0.232123i	0.993242	−	0.116061i	$-0.0370269\pi$
$578$	−6.66742	+	11.5483i	−0.277328	+	0.480346i
$579$	−1.28633	−	4.80065i	−0.0534581	−	0.199508i
$580$	−0.0771690	+	4.08935i	−0.00320427	+	0.169801i
$581$	7.82224	−	13.5485i	0.324521	−	0.562088i
$582$	0.582569	−	2.17418i	0.0241483	−	0.0901226i
$583$	−0.646493	+	0.373253i	−0.0267750	+	0.0154585i
$584$	16.1644			0.668889
$585$	7.19657	−	3.63447i	0.297541	−	0.150267i
$586$	21.1865			0.875206
$587$	23.2358	−	13.4152i	0.959044	−	0.553704i	0.0631651	−	0.998003i	$-0.479881\pi$
$587$	23.2358	−	13.4152i	0.959044	−	0.553704i	0.895879	+	0.444299i	$0.146547\pi$
$588$	−0.123305	+	0.460182i	−0.00508502	+	0.0189776i
$589$	0.0997495	−	0.172771i	0.00411011	−	0.00711892i
$590$	−8.24951	−	8.56685i	−0.339627	−	0.352691i
$591$	6.37880	+	23.8060i	0.262389	+	0.979249i
$592$	3.55220	−	6.15259i	0.145995	−	0.252870i
$593$		−	35.9821i		−	1.47761i	−0.673919	−	0.738805i	$-0.735391\pi$
$593$		−	35.9821i		−	1.47761i	0.673919	−	0.738805i	$-0.264609\pi$
$594$	−0.804972	−	0.464751i	−0.0330284	−	0.0190689i
$595$	3.02866	−	10.5060i	0.124163	−	0.430706i
$596$	0.311485	−	1.16248i	0.0127589	−	0.0476170i
$597$	8.35230	+	8.35230i	0.341837	+	0.341837i
$598$	−2.11722	+	6.87196i	−0.0865796	+	0.281016i
$599$		−	18.2895i		−	0.747289i	−0.927572	−	0.373645i	$-0.878108\pi$
$599$		−	18.2895i		−	0.747289i	0.927572	−	0.373645i	$-0.121892\pi$
$600$	4.77737	+	1.47539i	0.195035	+	0.0602324i
$601$	−3.52581	−	6.10689i	−0.143821	−	0.249105i	0.785112	−	0.619354i	$-0.212606\pi$
$601$	−3.52581	−	6.10689i	−0.143821	−	0.249105i	−0.928932	+	0.370249i	$0.879272\pi$
$602$	−3.53883	+	0.948226i	−0.144232	+	0.0386468i
$603$	13.8096			0.562372
$604$	8.07762	−	2.16439i	0.328674	−	0.0880679i
$605$	19.4110	+	11.7007i	0.789170	+	0.475703i
$606$	−8.46963	−	8.46963i	−0.344055	−	0.344055i
$607$	−1.49392	−	5.57537i	−0.0606362	−	0.226297i	0.928958	−	0.370186i	$-0.120706\pi$
$607$	−1.49392	−	5.57537i	−0.0606362	−	0.226297i	−0.989594	+	0.143888i	$0.954039\pi$
$608$	0.321456	+	0.0861340i	0.0130368	+	0.00349319i
$609$	−4.51267	−	1.20917i	−0.182863	−	0.0489979i
$610$	−0.455208	+	24.1224i	−0.0184308	+	0.976689i
$611$	14.6160	−	23.2785i	0.591302	−	0.941746i
$612$	−1.35373	+	1.35373i	−0.0547212	+	0.0547212i
$613$	−1.46671	−	2.54042i	−0.0592398	−	0.102606i	0.834885	−	0.550425i	$-0.185534\pi$
$613$	−1.46671	−	2.54042i	−0.0592398	−	0.102606i	−0.894124	+	0.447819i	$0.852201\pi$
$614$	−24.4975	+	14.1437i	−0.988640	+	0.570792i
$615$	12.8453	−	21.3099i	0.517974	−	0.859296i
$616$	−1.67872	+	1.67872i	−0.0676375	+	0.0676375i
$617$	−24.4109	−	14.0936i	−0.982745	−	0.567388i	−0.0796474	−	0.996823i	$-0.525379\pi$
$617$	−24.4109	−	14.0936i	−0.982745	−	0.567388i	−0.903098	+	0.429435i	$0.858713\pi$
$618$	12.7127	+	7.33967i	0.511379	+	0.295245i
$619$	10.6789	−	10.6789i	0.429223	−	0.429223i	−0.459141	−	0.888364i	$-0.651843\pi$
$619$	10.6789	−	10.6789i	0.429223	−	0.429223i	0.888364	+	0.459141i	$0.151843\pi$
$620$	0.322441	+	1.30108i	0.0129495	+	0.0522527i
$621$	1.72716	−	0.997174i	0.0693084	−	0.0400152i
$622$	2.83350	+	4.90777i	0.113613	+	0.196783i
$623$	−12.9113	+	12.9113i	−0.517282	+	0.517282i
$624$	−1.06161	+	3.44572i	−0.0424984	+	0.137939i
$625$	24.9288	+	1.88506i	0.997153	+	0.0754023i
$626$	−16.6717	−	4.46717i	−0.666335	−	0.178544i
$627$	−0.298794	−	0.0800616i	−0.0119327	−	0.00319735i
$628$	0.0840373	+	0.313631i	0.00335345	+	0.0125153i
$629$	9.61742	+	9.61742i	0.383472	+	0.383472i
$630$	−2.94842	+	4.89130i	−0.117468	+	0.194874i
$631$	40.7498	−	10.9189i	1.62222	−	0.434673i	0.670569	−	0.741847i	$-0.266050\pi$
$631$	40.7498	−	10.9189i	1.62222	−	0.434673i	0.951653	+	0.307174i	$0.0993834\pi$
$632$	−10.6347			−0.423027
$633$	−11.5882	+	3.10505i	−0.460590	+	0.123415i
$634$	−10.2260	−	17.7120i	−0.406128	−	0.703434i
$635$	−7.25164	+	25.1551i	−0.287773	+	0.998248i
$636$		−	0.803125i		−	0.0318460i
$637$	−1.71656	−	0.0636581i	−0.0680125	−	0.00252223i
$638$	1.20221	+	1.20221i	0.0475961	+	0.0475961i
$639$	−3.55539	+	13.2689i	−0.140649	+	0.524909i
$640$	−1.95724	+	1.08130i	−0.0773668	+	0.0427421i
$641$	−8.80424	−	5.08313i	−0.347747	−	0.200772i	0.315946	−	0.948777i	$-0.397678\pi$
$641$	−8.80424	−	5.08313i	−0.347747	−	0.200772i	−0.663692	+	0.748006i	$0.731012\pi$
$642$			9.54591i			0.376747i
$643$	8.87986	−	15.3804i	0.350187	−	0.606542i	−0.636095	−	0.771611i	$-0.719451\pi$
$643$	8.87986	−	15.3804i	0.350187	−	0.606542i	0.986282	+	0.165069i	$0.0527846\pi$
$644$	−1.31838	−	4.92026i	−0.0519514	−	0.193885i
$645$	3.20686	+	0.0605158i	0.126270	+	0.00238281i
$646$	−0.318562	+	0.551766i	−0.0125337	+	0.0217090i
$647$	−6.45138	+	24.0769i	−0.253630	+	0.946560i	0.715217	+	0.698902i	$0.246328\pi$
$647$	−6.45138	+	24.0769i	−0.253630	+	0.946560i	−0.968847	+	0.247658i	$0.920339\pi$
$648$	0.866025	−	0.500000i	0.0340207	−	0.0196419i
$649$	−4.94378			−0.194060
$650$	−1.34730	+	17.9773i	−0.0528456	+	0.705129i
$651$	−1.53111			−0.0600089
$652$	11.3642	−	6.56113i	0.445057	−	0.256954i
$653$	8.56830	−	31.9773i	0.335303	−	1.25137i	−0.568237	−	0.822865i	$-0.692374\pi$
$653$	8.56830	−	31.9773i	0.335303	−	1.25137i	0.903540	−	0.428504i	$-0.140959\pi$
$654$	3.23077	−	5.59586i	0.126333	−	0.218815i
$655$	−39.7252	−	0.749644i	−1.55219	−	0.0292910i
$656$	2.88002	+	10.7484i	0.112446	+	0.419654i
$657$	8.08222	−	13.9988i	0.315317	−	0.546146i
$658$			19.4712i			0.759067i
$659$	−8.13924	−	4.69919i	−0.317060	−	0.183054i	0.333022	−	0.942919i	$-0.391932\pi$
$659$	−8.13924	−	4.69919i	−0.317060	−	0.183054i	−0.650081	+	0.759865i	$0.725265\pi$
$660$	1.81926	−	1.00507i	0.0708145	−	0.0391222i
$661$	2.95629	−	11.0330i	0.114986	−	0.429135i	−0.884300	−	0.466920i	$-0.845364\pi$
$661$	2.95629	−	11.0330i	0.114986	−	0.429135i	0.999286	+	0.0377851i	$0.0120302\pi$
$662$	−23.3829	−	23.3829i	−0.908801	−	0.908801i
$663$	−5.84589	−	3.67051i	−0.227036	−	0.142551i
$664$		−	6.12517i		−	0.237703i
$665$	−0.526480	+	1.82630i	−0.0204160	+	0.0708208i
$666$	−3.55220	−	6.15259i	−0.137645	−	0.238408i
$667$	−3.52364	+	0.944156i	−0.136436	+	0.0365579i
$668$	0.449063			0.0173748
$669$	7.55623	−	2.02469i	0.292141	−	0.0782789i
$670$	−15.9414	+	26.4462i	−0.615872	+	1.02170i
$671$	7.09167	+	7.09167i	0.273771	+	0.273771i
$672$	−0.661058	−	2.46710i	−0.0255009	−	0.0951705i
$673$	−5.16931	−	1.38511i	−0.199262	−	0.0533922i	0.157807	−	0.987470i	$-0.449557\pi$
$673$	−5.16931	−	1.38511i	−0.199262	−	0.0533922i	−0.357070	+	0.934078i	$0.616224\pi$
$674$	−33.5557	−	8.99121i	−1.29252	−	0.346328i
$675$	3.66641	−	3.39963i	0.141120	−	0.130852i
$676$	−12.9643	−	0.962879i	−0.498627	−	0.0370338i
$677$	1.55730	−	1.55730i	0.0598517	−	0.0598517i	−0.676547	−	0.736399i	$-0.736525\pi$
$677$	1.55730	−	1.55730i	0.0598517	−	0.0598517i	0.736399	+	0.676547i	$0.236525\pi$
$678$	7.44037	+	12.8871i	0.285746	+	0.494926i
$679$	−4.97880	+	2.87451i	−0.191069	+	0.110314i
$680$	−1.02976	−	4.15516i	−0.0394893	−	0.159343i
$681$	−2.86372	+	2.86372i	−0.109738	+	0.109738i
$682$	0.482551	+	0.278601i	0.0184778	+	0.0106682i
$683$	−34.4413	−	19.8847i	−1.31786	−	0.760867i	−0.334476	−	0.942404i	$-0.608559\pi$
$683$	−34.4413	−	19.8847i	−1.31786	−	0.760867i	−0.983384	+	0.181537i	$0.941893\pi$
$684$	0.235322	−	0.235322i	0.00899778	−	0.00899778i
$685$	13.8879	−	23.0395i	0.530631	−	0.880294i
$686$	16.5374	−	9.54787i	0.631401	−	0.364539i
$687$	6.69561	+	11.5971i	0.255453	+	0.442458i
$688$	−1.01428	+	1.01428i	−0.0386690	+	0.0386690i
$689$	2.82289	−	0.645293i	0.107544	−	0.0245837i
$690$	−0.0841390	+	4.45870i	−0.00320312	+	0.169740i
$691$	26.0006	+	6.96685i	0.989110	+	0.265031i	0.716877	−	0.697200i	$-0.245571\pi$
$691$	26.0006	+	6.96685i	0.989110	+	0.265031i	0.272234	+	0.962231i	$0.412238\pi$
$692$	0.929886	+	0.249162i	0.0353490	+	0.00947173i
$693$	0.614454	+	2.29317i	0.0233412	+	0.0871105i
$694$	−3.22756	−	3.22756i	−0.122517	−	0.122517i
$695$	−4.69639	−	2.83093i	−0.178144	−	0.107383i
$696$	−1.76681	+	0.473416i	−0.0669708	+	0.0179448i
$697$	−21.3033			−0.806918
$698$	17.4957	−	4.68796i	0.662222	−	0.177442i
$699$	−4.60022	−	7.96782i	−0.173996	−	0.301371i
$700$	−5.96352	−	11.2927i	−0.225400	−	0.426826i
$701$			15.5746i			0.588246i	0.955768	+	0.294123i	$0.0950275\pi$
$701$			15.5746i			0.588246i	−0.955768	+	0.294123i	$0.904973\pi$
$702$	2.45328	+	2.64224i	0.0925929	+	0.0997250i
$703$	−1.67182	−	1.67182i	−0.0630541	−	0.0630541i
$704$	−0.240573	+	0.897829i	−0.00906692	+	0.0338382i
$705$	4.72184	−	16.3795i	0.177835	−	0.616887i
$706$	−27.9524	−	16.1383i	−1.05200	−	0.607375i
$707$			30.5930i			1.15057i
$708$	2.65937	−	4.60617i	0.0999453	−	0.173110i
$709$	−7.73226	−	28.8572i	−0.290391	−	1.08375i	−0.944809	−	0.327621i	$-0.893753\pi$
$709$	−7.73226	−	28.8572i	−0.290391	−	1.08375i	0.654418	−	0.756133i	$-0.272914\pi$
$710$	−21.3064	−	22.1260i	−0.799614	−	0.830373i
$711$	−5.31737	+	9.20995i	−0.199417	+	0.345400i
$712$	−1.85029	+	6.90537i	−0.0693425	+	0.258790i
$713$	−1.03537	+	0.597769i	−0.0387748	+	0.0223866i
$714$	4.88978			0.182995
$715$	4.99443	+	5.58693i	0.186781	+	0.208939i
$716$	−13.5800			−0.507507
$717$	6.33434	−	3.65713i	0.236560	−	0.136578i
$718$	4.71180	−	17.5847i	0.175843	−	0.656254i
$719$	−15.1348	+	26.2143i	−0.564434	+	0.977629i	0.432668	+	0.901553i	$0.357572\pi$
$719$	−15.1348	+	26.2143i	−0.564434	+	0.977629i	−0.997102	+	0.0760753i	$0.975761\pi$
$720$	−0.0421887	+	2.23567i	−0.00157228	+	0.0833185i
$721$	−9.70389	−	36.2154i	−0.361392	−	1.34873i
$722$	−9.44462	+	16.3586i	−0.351492	+	0.608803i
$723$			24.1795i			0.899247i
$724$	2.18861	+	1.26359i	0.0813390	+	0.0469611i
$725$	−8.08729	+	4.27077i	−0.300354	+	0.158612i
$726$	−2.62340	+	9.79065i	−0.0973634	+	0.363365i
$727$	−9.48865	−	9.48865i	−0.351914	−	0.351914i	0.508907	−	0.860821i	$-0.330050\pi$
$727$	−9.48865	−	9.48865i	−0.351914	−	0.351914i	−0.860821	+	0.508907i	$0.830050\pi$
$728$	8.14043	−	4.30580i	0.301705	−	0.159584i
$729$		−	1.00000i		−	0.0370370i
$730$	17.4786	+	31.6377i	0.646911	+	1.17096i
$731$	−1.37306	−	2.37820i	−0.0507844	−	0.0879611i
$732$	−10.4221	+	2.79261i	−0.385214	+	0.103218i
$733$	0.901657			0.0333035			0.0166517	−	0.999861i	$-0.494699\pi$
$733$	0.901657			0.0333035			0.0166517	+	0.999861i	$0.494699\pi$
$734$	−1.72948	+	0.463412i	−0.0638361	+	0.0171048i
$735$	−1.03402	+	0.256255i	−0.0381403	+	0.00945212i
$736$	−1.41022	−	1.41022i	−0.0519813	−	0.0519813i
$737$	3.32222	+	12.3987i	0.122376	+	0.456712i
$738$	10.7484	+	2.88002i	0.395654	+	0.106015i
$739$	13.1665	+	3.52796i	0.484338	+	0.129778i	0.492722	−	0.870187i	$-0.336002\pi$
$739$	13.1665	+	3.52796i	0.484338	+	0.129778i	−0.00838356	+	0.999965i	$0.502669\pi$
$740$	15.8831	+	0.299726i	0.583874	+	0.0110181i
$741$	1.01621	+	0.638055i	0.0373313	+	0.0234395i
$742$	−1.45048	+	1.45048i	−0.0532487	+	0.0532487i
$743$	7.97875	+	13.8196i	0.292712	+	0.506992i	0.974450	−	0.224604i	$-0.0721089\pi$
$743$	7.97875	+	13.8196i	0.292712	+	0.506992i	−0.681738	+	0.731596i	$0.738776\pi$
$744$	−0.519150	+	0.299732i	−0.0190330	+	0.0109887i
$745$	2.61206	−	0.647334i	0.0956984	−	0.0237165i
$746$	−16.0822	+	16.0822i	−0.588812	+	0.588812i
$747$	−5.30455	−	3.06259i	−0.194083	−	0.112054i
$748$	−1.54109	−	0.889746i	−0.0563477	−	0.0325324i
$749$	17.2403	−	17.2403i	0.629948	−	0.629948i
$750$	2.27807	+	10.9458i	0.0831834	+	0.399684i
$751$	9.96702	−	5.75446i	0.363702	−	0.209983i	−0.307002	−	0.951709i	$-0.599326\pi$
$751$	9.96702	−	5.75446i	0.363702	−	0.209983i	0.670703	+	0.741726i	$0.265992\pi$
$752$	3.81171	+	6.60208i	0.138999	+	0.240753i
$753$	−12.0825	+	12.0825i	−0.440311	+	0.440311i
$754$	−3.08360	−	5.82976i	−0.112298	−	0.212307i
$755$	12.9706	+	13.4695i	0.472047	+	0.490205i
$756$	−2.46710	−	0.661058i	−0.0897276	−	0.0240424i
$757$	33.1351	+	8.87853i	1.20432	+	0.322696i	0.804530	−	0.593912i	$-0.202417\pi$
$757$	33.1351	+	8.87853i	1.20432	+	0.322696i	0.399787	+	0.916608i	$0.369084\pi$
$758$	8.36754	+	31.2281i	0.303923	+	1.13426i
$759$	1.31080	+	1.31080i	0.0475790	+	0.0475790i
$760$	0.179005	+	0.722304i	0.00649321	+	0.0262007i
$761$	−2.75261	+	0.737561i	−0.0997822	+	0.0267366i	−0.308365	−	0.951268i	$-0.599782\pi$
$761$	−2.75261	+	0.737561i	−0.0997822	+	0.0267366i	0.208582	+	0.978005i	$0.433115\pi$
$762$	−11.7078			−0.424129
$763$	−15.9413	+	4.27145i	−0.577113	+	0.154637i
$764$	−1.37683	−	2.38473i	−0.0498118	−	0.0862766i
$765$	−4.11336	−	1.18579i	−0.148719	−	0.0428723i
$766$			35.5240i			1.28353i
$767$	18.3269	+	5.64643i	0.661746	+	0.203881i
$768$	−0.707107	−	0.707107i	−0.0255155	−	0.0255155i
$769$	−9.18781	+	34.2894i	−0.331321	+	1.23651i	0.576482	+	0.817110i	$0.304425\pi$
$769$	−9.18781	+	34.2894i	−0.331321	+	1.23651i	−0.907803	+	0.419397i	$0.862242\pi$
$770$	−5.10086	−	1.47046i	−0.183822	−	0.0529918i
$771$	−13.2367	−	7.64220i	−0.476707	−	0.275227i
$772$			4.97000i			0.178874i
$773$	−5.14606	+	8.91324i	−0.185091	+	0.320587i	−0.943607	−	0.331067i	$-0.892591\pi$
$773$	−5.14606	+	8.91324i	−0.185091	+	0.320587i	0.758516	+	0.651654i	$0.225925\pi$
$774$	0.371252	+	1.38553i	0.0133444	+	0.0498019i
$775$	−2.19788	+	2.03795i	−0.0789500	+	0.0732054i
$776$	−1.12544	+	1.94931i	−0.0404008	+	0.0699763i
$777$	−4.69642	+	17.5273i	−0.168483	+	0.628788i
$778$	27.8452	−	16.0765i	0.998300	−	0.576369i
$779$	3.70321			0.132681
$780$	−7.89202	+	1.64802i	−0.282580	+	0.0590087i
$781$	−12.7685			−0.456894
$782$	3.30657	−	1.90905i	0.118243	−	0.0682675i
$783$	−0.473416	+	1.76681i	−0.0169185	+	0.0631407i
$784$	0.238207	−	0.412587i	0.00850741	−	0.0147353i
$785$	−0.522983	+	0.503611i	−0.0186661	+	0.0179746i
$786$	−4.59891	−	17.1634i	−0.164038	−	0.612197i
$787$	−25.2565	+	43.7455i	−0.900296	+	1.55936i	−0.0731860	+	0.997318i	$0.523317\pi$
$787$	−25.2565	+	43.7455i	−0.900296	+	1.55936i	−0.827110	+	0.562040i	$0.810017\pi$
$788$		−	24.6458i		−	0.877970i
$789$	−16.6028	−	9.58564i	−0.591076	−	0.341258i
$790$	−11.4993	−	20.8148i	−0.409128	−	0.740556i
$791$	9.83703	−	36.7123i	0.349765	−	1.30534i
$792$	0.657257	+	0.657257i	0.0233546	+	0.0233546i
$793$	−18.1897	−	34.3889i	−0.645934	−	1.22118i
$794$		−	6.25686i		−	0.222048i
$795$	1.57191	−	0.868418i	0.0557499	−	0.0307996i
$796$	−5.90597	−	10.2294i	−0.209331	−	0.362573i
$797$	−1.21672	+	0.326018i	−0.0430983	+	0.0115482i	−0.280304	−	0.959911i	$-0.590435\pi$
$797$	−1.21672	+	0.326018i	−0.0430983	+	0.0115482i	0.237205	+	0.971460i	$0.423769\pi$
$798$	−0.850005			−0.0300898
$799$	−14.0974	+	3.77740i	−0.498731	+	0.133635i
$800$	−4.23272	−	2.66159i	−0.149649	−	0.0941013i
$801$	5.05508	+	5.05508i	0.178613	+	0.178613i
$802$	−0.723508	−	2.70017i	−0.0255480	−	0.0953463i
$803$	14.5129	+	3.88872i	0.512149	+	0.137230i
$804$	−13.3391	−	3.57420i	−0.470433	−	0.126052i
$805$	8.20457	−	7.90065i	0.289173	−	0.278461i
$806$	−1.47065	−	1.58393i	−0.0518014	−	0.0557914i
$807$	−19.4265	+	19.4265i	−0.683846	+	0.683846i
$808$	5.98893	+	10.3731i	0.210690	+	0.364926i
$809$	26.5411	−	15.3235i	0.933137	−	0.538747i	0.0453345	−	0.998972i	$-0.485565\pi$
$809$	26.5411	−	15.3235i	0.933137	−	0.538747i	0.887802	+	0.460225i	$0.152231\pi$
$810$	1.91505	+	1.15437i	0.0672881	+	0.0405605i
$811$	−37.8748	+	37.8748i	−1.32996	+	1.32996i	−0.424567	+	0.905396i	$0.639574\pi$
$811$	−37.8748	+	37.8748i	−1.32996	+	1.32996i	−0.905396	+	0.424567i	$0.860426\pi$
$812$	4.04595	+	2.33593i	0.141985	+	0.0819750i
$813$	12.9088	+	7.45289i	0.452731	+	0.261384i
$814$	4.66941	−	4.66941i	0.163663	−	0.163663i
$815$	25.1298	+	15.1480i	0.880259	+	0.530610i
$816$	1.65797	−	0.957230i	0.0580406	−	0.0335098i
$817$	0.238683	+	0.413410i	0.00835044	+	0.0144634i
$818$	−21.5063	+	21.5063i	−0.751951	+	0.751951i
$819$	0.341281	−	9.20272i	0.0119253	−	0.321569i
$820$	−17.9230	+	17.2591i	−0.625899	+	0.602715i
$821$	−51.9826	−	13.9287i	−1.81421	−	0.486115i	−0.818163	−	0.574986i	$-0.805007\pi$
$821$	−51.9826	−	13.9287i	−1.81421	−	0.486115i	−0.996043	+	0.0888709i	$0.971674\pi$
$822$	11.6208	+	3.11378i	0.405322	+	0.108606i
$823$	−4.97015	−	18.5489i	−0.173249	−	0.646573i	−0.996843	−	0.0793940i	$-0.974701\pi$
$823$	−4.97015	−	18.5489i	−0.173249	−	0.646573i	0.823595	−	0.567179i	$-0.191965\pi$
$824$	−10.3799	−	10.3799i	−0.361600	−	0.361600i
$825$	3.93432	+	2.47395i	0.136976	+	0.0861318i
$826$	−13.1219	+	3.51600i	−0.456569	+	0.122337i
$827$	−21.7434			−0.756091			−0.378046	−	0.925787i	$-0.623404\pi$
$827$	−21.7434			−0.756091			−0.378046	+	0.925787i	$0.623404\pi$
$828$	−1.92639	+	0.516175i	−0.0669468	+	0.0179383i
$829$	16.5409	+	28.6497i	0.574489	+	0.995044i	0.996097	+	0.0882655i	$0.0281324\pi$
$829$	16.5409	+	28.6497i	0.574489	+	0.995044i	−0.421608	+	0.906778i	$0.638534\pi$
$830$	11.9884	−	6.62314i	0.416125	−	0.229892i
$831$			15.5258i			0.538583i
$832$	1.91725	−	3.05354i	0.0664688	−	0.105863i
$833$	0.644936	+	0.644936i	0.0223457	+	0.0223457i
$834$	0.634717	−	2.36880i	0.0219784	−	0.0820247i
$835$	0.485571	+	0.878925i	0.0168039	+	0.0304165i
$836$	0.267891	+	0.154667i	0.00926522	+	0.00534928i
$837$			0.599463i			0.0207205i
$838$	−9.12861	+	15.8112i	−0.315343	+	0.546190i
$839$	−6.21717	−	23.2028i	−0.214641	−	0.801050i	−0.986293	−	0.165005i	$-0.947236\pi$
$839$	−6.21717	−	23.2028i	−0.214641	−	0.801050i	0.771652	−	0.636045i	$-0.219431\pi$
$840$	4.11391	−	3.96152i	0.141943	−	0.136685i
$841$	−12.8271	+	22.2172i	−0.442315	+	0.766112i
$842$	2.47674	−	9.24331i	0.0853540	−	0.318545i
$843$	0.693048	−	0.400131i	0.0238698	−	0.0137813i
$844$	11.9970			0.412954
$845$	−12.1337	−	26.4154i	−0.417411	−	0.908718i
$846$	7.62342			0.262099
$847$	22.4203	−	12.9444i	0.770371	−	0.444774i
$848$	−0.207864	+	0.775759i	−0.00713808	+	0.0266397i
$849$	−15.1703	+	26.2757i	−0.520644	+	0.901781i
$850$	7.01919	−	6.50845i	0.240756	−	0.223238i
$851$	3.66712	+	13.6859i	0.125707	+	0.469145i
$852$	6.86848	−	11.8966i	0.235310	−	0.407569i
$853$		−	35.1106i		−	1.20216i	−0.799187	−	0.601082i	$-0.794736\pi$
$853$		−	35.1106i		−	1.20216i	0.799187	−	0.601082i	$-0.205264\pi$
$854$	23.8664	+	13.7793i	0.816692	+	0.471517i
$855$	0.715036	+	0.206129i	0.0244537	+	0.00704946i
$856$	2.47066	−	9.22064i	0.0844456	−	0.315155i
$857$	3.67865	+	3.67865i	0.125660	+	0.125660i	0.767140	−	0.641480i	$-0.221679\pi$
$857$	3.67865	+	3.67865i	0.125660	+	0.125660i	−0.641480	+	0.767140i	$0.721679\pi$
$858$	−1.78209	+	2.83827i	−0.0608396	+	0.0968970i
$859$		−	13.1482i		−	0.448612i	−0.974519	−	0.224306i	$-0.927988\pi$
$859$		−	13.1482i		−	0.448612i	0.974519	−	0.224306i	$-0.0720115\pi$
$860$	−3.08193	−	0.888450i	−0.105093	−	0.0302959i
$861$	−14.2106	−	24.6135i	−0.484296	−	0.838826i
$862$	−28.8494	+	7.73016i	−0.982613	+	0.263290i
$863$	−29.2103			−0.994329			−0.497164	−	0.867656i	$-0.665625\pi$
$863$	−29.2103			−0.994329			−0.497164	+	0.867656i	$0.665625\pi$
$864$	−0.965926	+	0.258819i	−0.0328615	+	0.00880520i
$865$	0.517814	+	2.08943i	0.0176062	+	0.0710428i
$866$	9.74214	+	9.74214i	0.331051	+	0.331051i
$867$	−3.45131	−	12.8805i	−0.117213	−	0.437444i
$868$	1.47894	+	0.396280i	0.0501984	+	0.0134506i
$869$	−9.54818	−	2.55843i	−0.323900	−	0.0867887i
$870$	−2.83704	−	2.94617i	−0.0961847	−	0.0998846i
$871$	1.84523	−	49.7571i	0.0625232	−	1.68596i
$872$	−4.56900	+	4.56900i	−0.154726	+	0.154726i
$873$	1.12544	+	1.94931i	0.0380903	+	0.0659743i
$874$	−0.574791	+	0.331856i	−0.0194426	+	0.0112252i
$875$	15.6543	−	23.8829i	0.529211	−	0.807389i
$876$	−11.4300	+	11.4300i	−0.386183	+	0.386183i
$877$	45.1990	+	26.0957i	1.52626	+	0.881188i	0.999514	+	0.0311668i	$0.00992229\pi$
$877$	45.1990	+	26.0957i	1.52626	+	0.881188i	0.526748	+	0.850021i	$0.323411\pi$
$878$	−3.87040	−	2.23458i	−0.130620	−	0.0754134i
$879$	−14.9811	+	14.9811i	−0.505301	+	0.505301i
$880$	−2.01740	+	0.499963i	−0.0680065	+	0.0168537i
$881$	−0.425741	+	0.245802i	−0.0143436	+	0.00828126i	−0.507155	−	0.861855i	$-0.669303\pi$
$881$	−0.425741	+	0.245802i	−0.0143436	+	0.00828126i	0.492811	+	0.870136i	$0.335969\pi$
$882$	−0.238207	−	0.412587i	−0.00802086	−	0.0138925i
$883$	10.6011	−	10.6011i	0.356756	−	0.356756i	−0.505860	−	0.862616i	$-0.668825\pi$
$883$	10.6011	−	10.6011i	0.356756	−	0.356756i	0.862616	+	0.505860i	$0.168825\pi$
$884$	4.69670	+	5.05847i	0.157967	+	0.170135i
$885$	11.8910	+	0.224391i	0.399710	+	0.00754282i
$886$	−31.5730	−	8.45997i	−1.06072	−	0.284218i
$887$	−36.1693	−	9.69153i	−1.21445	−	0.325410i	−0.405941	−	0.913899i	$-0.633056\pi$
$887$	−36.1693	−	9.69153i	−1.21445	−	0.325410i	−0.808505	+	0.588490i	$0.799723\pi$
$888$	1.83875	+	6.86232i	0.0617046	+	0.230285i
$889$	21.1448	+	21.1448i	0.709174	+	0.709174i
$890$	−15.5162	+	3.84531i	−0.520104	+	0.128895i
$891$	0.897829	−	0.240573i	0.0300784	−	0.00805949i
$892$	−7.82279			−0.261926
$893$	2.45060	−	0.656636i	0.0820061	−	0.0219735i
$894$	0.601743	+	1.04225i	0.0201253	+	0.0348580i
$895$	−14.6840	−	26.5793i	−0.490832	−	0.888448i
$896$			2.55413i			0.0853275i
$897$	−3.36211	−	6.35631i	−0.112258	−	0.212231i
$898$	5.41322	+	5.41322i	0.180642	+	0.180642i
$899$	0.283795	−	1.05914i	0.00946511	−	0.0353243i
$900$	−4.42136	+	2.33485i	−0.147379	+	0.0778284i
$901$	−1.33156	−	0.768775i	−0.0443606	−	0.0256116i
$902$			10.3431i			0.344387i
$903$	1.83183	−	3.17282i	0.0609595	−	0.105585i
$904$	−3.85142	−	14.3737i	−0.128096	−	0.478062i
$905$	−0.106619	+	5.64996i	−0.00354413	+	0.187811i
$906$	−4.18128	+	7.24220i	−0.138914	+	0.240606i
$907$	−8.83757	+	32.9822i	−0.293447	+	1.09516i	0.648997	+	0.760791i	$0.275189\pi$
$907$	−8.83757	+	32.9822i	−0.293447	+	1.09516i	−0.942443	+	0.334366i	$0.891478\pi$
$908$	3.50733	−	2.02496i	0.116395	−	0.0672006i
$909$	11.9779			0.397281
$910$	17.2297	+	11.2769i	0.571160	+	0.373827i
$911$	28.2249			0.935132			0.467566	−	0.883958i	$-0.345131\pi$
$911$	28.2249			0.935132			0.467566	+	0.883958i	$0.345131\pi$
$912$	−0.288210	+	0.166398i	−0.00954358	+	0.00550999i
$913$	1.47355	−	5.49936i	0.0487673	−	0.182002i
$914$	9.35023	−	16.1951i	0.309278	−	0.535685i
$915$	−16.7353	−	17.3790i	−0.553250	−	0.574533i
$916$	−3.46590	−	12.9349i	−0.114517	−	0.427382i
$917$	−22.6919	+	39.3036i	−0.749354	+	1.29792i
$918$		−	1.91446i		−	0.0631866i
$919$	−16.3951	−	9.46570i	−0.540824	−	0.312245i	0.204589	−	0.978848i	$-0.434414\pi$
$919$	−16.3951	−	9.46570i	−0.540824	−	0.312245i	−0.745413	+	0.666603i	$0.767748\pi$
$920$	1.23527	−	4.28500i	0.0407256	−	0.141272i
$921$	7.32130	−	27.3235i	0.241245	−	0.900339i
$922$	−0.895936	−	0.895936i	−0.0295061	−	0.0295061i
$923$	47.3337	+	14.5833i	1.55801	+	0.480015i
$924$		−	2.37407i		−	0.0781011i
$925$	16.5877	+	31.4111i	0.545401	+	1.03279i
$926$	8.87674	+	15.3750i	0.291708	+	0.505253i
$927$	−14.1792	+	3.79929i	−0.465704	+	0.124785i
$928$	1.82914			0.0600444
$929$	−45.8640	+	12.2892i	−1.50475	+	0.403196i	−0.914687	−	0.404163i	$-0.867563\pi$
$929$	−45.8640	+	12.2892i	−1.50475	+	0.403196i	−0.590061	+	0.807359i	$0.700896\pi$
$930$	−1.14800	−	0.692003i	−0.0376445	−	0.0226917i
$931$	−0.112111	−	0.112111i	−0.00367429	−	0.00367429i
$932$	2.38125	+	8.88695i	0.0780005	+	0.291102i
$933$	−5.47390	−	1.46673i	−0.179207	−	0.0480185i
$934$	−17.7810	−	4.76441i	−0.581813	−	0.155896i
$935$	0.0750746	−	3.97836i	0.00245520	−	0.130106i
$936$	−1.68582	−	3.18716i	−0.0551027	−	0.104176i
$937$	−2.79074	+	2.79074i	−0.0911695	+	0.0911695i	−0.751221	−	0.660051i	$-0.770535\pi$
$937$	−2.79074	+	2.79074i	−0.0911695	+	0.0911695i	0.660051	+	0.751221i	$0.270535\pi$
$938$	17.6358	+	30.5461i	0.575829	+	0.997366i
$939$	14.9474	−	8.62990i	0.487791	−	0.281626i
$940$	−8.80026	+	14.5993i	−0.287033	+	0.476175i
$941$	−12.2478	+	12.2478i	−0.399268	+	0.399268i	−0.877975	−	0.478707i	$-0.841106\pi$
$941$	−12.2478	+	12.2478i	−0.399268	+	0.399268i	0.478707	+	0.877975i	$0.341106\pi$
$942$	−0.281194	−	0.162348i	−0.00916181	−	0.00528957i
$943$	−19.2190	−	11.0961i	−0.625857	−	0.361339i
$944$	−3.76092	+	3.76092i	−0.122408	+	0.122408i
$945$	−1.37382	−	5.54351i	−0.0446905	−	0.180330i
$946$	−1.15466	+	0.666641i	−0.0375411	+	0.0216744i
$947$	5.36859	+	9.29866i	0.174456	+	0.302166i	0.939973	−	0.341250i	$-0.110850\pi$
$947$	5.36859	+	9.29866i	0.174456	+	0.302166i	−0.765517	+	0.643416i	$0.777517\pi$
$948$	7.51990	−	7.51990i	0.244235	−	0.244235i
$949$	−49.3588	−	30.9913i	−1.60226	−	1.00602i
$950$	−1.22017	+	1.13138i	−0.0395874	+	0.0367069i
$951$	19.7552	+	5.29339i	0.640606	+	0.171650i
$952$	−4.72317	−	1.26557i	−0.153079	−	0.0410173i
$953$	7.29441	+	27.2231i	0.236289	+	0.881843i	0.977564	+	0.210641i	$0.0675551\pi$
$953$	7.29441	+	27.2231i	0.236289	+	0.881843i	−0.741274	+	0.671202i	$0.765778\pi$
$954$	0.567895	+	0.567895i	0.0183863	+	0.0183863i
$955$	3.17874	−	5.27339i	0.102862	−	0.170643i
$956$	−7.06504	+	1.89307i	−0.228500	+	0.0612263i
$957$	−1.70019			−0.0549592
$958$	41.7863	−	11.1966i	1.35006	−	0.361746i
$959$	−15.3640	−	26.6113i	−0.496131	−	0.859324i
$960$	0.619385	−	2.14857i	0.0199906	−	0.0693449i
$961$			30.6406i			0.988408i
$962$	−22.6429	+	11.9767i	−0.730036	+	0.386146i
$963$	−6.74998	−	6.74998i	−0.217515	−	0.217515i
$964$	6.25813	−	23.3556i	0.201561	−	0.752235i
$965$	−9.72750	+	5.37406i	−0.313139	+	0.172997i
$966$	4.41138	+	2.54691i	0.141934	+	0.0819456i
$967$			39.5038i			1.27036i	0.772366	+	0.635178i	$0.219073\pi$
$967$			39.5038i			1.27036i	−0.772366	+	0.635178i	$0.780927\pi$
$968$	5.06801	−	8.77806i	0.162892	−	0.282137i
$969$	−0.164900	−	0.615415i	−0.00529735	−	0.0197700i
$970$	−5.03221	−	0.0949615i	−0.161575	−	0.00304903i
$971$	−8.43794	+	14.6149i	−0.270786	+	0.469016i	−0.969063	−	0.246812i	$-0.920617\pi$
$971$	−8.43794	+	14.6149i	−0.270786	+	0.469016i	0.698277	+	0.715828i	$0.253950\pi$
$972$	−0.258819	+	0.965926i	−0.00830162	+	0.0309821i
$973$	−5.42447	+	3.13182i	−0.173901	+	0.100402i
$974$	−31.2670			−1.00186
$975$	−11.7592	−	13.6646i	−0.376596	−	0.437617i
$976$	10.7898			0.345373
$977$	50.9873	−	29.4375i	1.63123	−	0.941790i	0.647514	−	0.762053i	$-0.275809\pi$
$977$	50.9873	−	29.4375i	1.63123	−	0.941790i	0.983715	−	0.179737i	$-0.0575247\pi$
$978$	−3.39629	+	12.6751i	−0.108601	+	0.405306i
$979$	−3.32249	+	5.75472i	−0.106187	+	0.183922i
$980$	1.06511	+	0.0200993i	0.0340236	+	0.000642050i
$981$	1.67237	+	6.24137i	0.0533946	+	0.199272i
$982$	7.17735	−	12.4315i	0.229039	−	0.396706i
$983$			22.9432i			0.731776i	0.930659	+	0.365888i	$0.119235\pi$
$983$			22.9432i			0.731776i	−0.930659	+	0.365888i	$0.880765\pi$
$984$	−9.63674	−	5.56378i	−0.307208	−	0.177367i
$985$	48.2378	−	26.6495i	1.53698	−	0.849123i
$986$	−0.906336	+	3.38249i	−0.0288636	+	0.107720i
$987$	−13.7682	−	13.7682i	−0.438248	−	0.438248i
$988$	−0.816441	−	0.879328i	−0.0259744	−	0.0279751i
$989$		−	2.86071i		−	0.0909652i
$990$	−0.575719	+	1.99710i	−0.0182976	+	0.0634720i
$991$	−6.16442	−	10.6771i	−0.195819	−	0.339169i	0.751349	−	0.659904i	$-0.229403\pi$
$991$	−6.16442	−	10.6771i	−0.195819	−	0.339169i	−0.947169	+	0.320736i	$0.896070\pi$
$992$	0.579037	−	0.155153i	0.0183844	−	0.00492610i
$993$	33.0684			1.04939
$994$	−33.8905	+	9.08092i	−1.07494	+	0.288029i
$995$	13.6354	−	22.6205i	0.432270	−	0.717117i
$996$	4.33115	+	4.33115i	0.137238	+	0.137238i
$997$	1.94299	+	7.25134i	0.0615352	+	0.229652i	0.989844	−	0.142158i	$-0.0454040\pi$
$997$	1.94299	+	7.25134i	0.0615352	+	0.229652i	−0.928309	+	0.371810i	$0.878737\pi$
$998$	11.4165	+	3.05904i	0.361382	+	0.0968321i
$999$	6.86232	+	1.83875i	0.217114	+	0.0581756i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bd.b.223.2	yes	16
5.2	odd	4		390.2.bn.b.67.3	yes	16
13.7	odd	12		390.2.bn.b.163.3	yes	16
65.7	even	12	inner	390.2.bd.b.7.2	✓	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.b.7.2	✓	16	65.7	even	12	inner
390.2.bd.b.223.2	yes	16	1.1	even	1	trivial
390.2.bn.b.67.3	yes	16	5.2	odd	4
390.2.bn.b.163.3	yes	16	13.7	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:	\( N \)	\(=\)	\( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	390.bd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.23567 + 0.0421887i) q^{5} +(0.258819 + 0.965926i) q^{6} +(1.27707 - 2.21194i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.23567 + 0.0421887i) q^{5} +(0.258819 + 0.965926i) q^{6} +(1.27707 - 2.21194i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +(1.95724 - 1.08130i) q^{10} +(0.240573 - 0.897829i) q^{11} +(0.707107 + 0.707107i) q^{12} +(-1.91725 + 3.05354i) q^{13} -2.55413i q^{14} +(-0.619385 + 2.14857i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.84923 - 0.495499i) q^{17} -1.00000 q^{18} +(-0.321456 + 0.0861340i) q^{19} +(1.15437 - 1.91505i) q^{20} +(1.80604 + 1.80604i) q^{21} +(-0.240573 - 0.897829i) q^{22} +(1.92639 + 0.516175i) q^{23} +(0.965926 + 0.258819i) q^{24} +(4.99644 + 0.188640i) q^{25} +(-0.133619 + 3.60307i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-1.27707 - 2.21194i) q^{28} +(-1.58408 + 0.914569i) q^{29} +(0.537883 + 2.17041i) q^{30} +(-0.423885 + 0.423885i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.804972 + 0.464751i) q^{33} +(1.35373 - 1.35373i) q^{34} +(2.94842 - 4.89130i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(3.55220 + 6.15259i) q^{37} +(-0.235322 + 0.235322i) q^{38} +(-2.45328 - 2.64224i) q^{39} +(0.0421887 - 2.23567i) q^{40} +(-10.7484 - 2.88002i) q^{41} +(2.46710 + 0.661058i) q^{42} +(-0.371252 - 1.38553i) q^{43} +(-0.657257 - 0.657257i) q^{44} +(-1.91505 - 1.15437i) q^{45} +(1.92639 - 0.516175i) q^{46} -7.62342 q^{47} +(0.965926 - 0.258819i) q^{48} +(0.238207 + 0.412587i) q^{49} +(4.42136 - 2.33485i) q^{50} +1.91446i q^{51} +(1.68582 + 3.18716i) q^{52} +(-0.567895 - 0.567895i) q^{53} +(0.258819 - 0.965926i) q^{54} +(0.575719 - 1.99710i) q^{55} +(-2.21194 - 1.27707i) q^{56} -0.332796i q^{57} +(-0.914569 + 1.58408i) q^{58} +(-1.37659 - 5.13751i) q^{59} +(1.55103 + 1.61069i) q^{60} +(-5.39490 + 9.34424i) q^{61} +(-0.155153 + 0.579037i) q^{62} +(-2.21194 + 1.27707i) q^{63} -1.00000 q^{64} +(-4.41517 + 6.74583i) q^{65} +0.929501 q^{66} +(-11.9595 + 6.90482i) q^{67} +(0.495499 - 1.84923i) q^{68} +(-0.997174 + 1.72716i) q^{69} +(0.107756 - 5.71019i) q^{70} +(-3.55539 - 13.2689i) q^{71} +(-0.500000 + 0.866025i) q^{72} +16.1644i q^{73} +(6.15259 + 3.55220i) q^{74} +(-1.47539 + 4.77737i) q^{75} +(-0.0861340 + 0.321456i) q^{76} +(-1.67872 - 1.67872i) q^{77} +(-3.44572 - 1.06161i) q^{78} -10.6347i q^{79} +(-1.08130 - 1.95724i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-10.7484 + 2.88002i) q^{82} +6.12517 q^{83} +(2.46710 - 0.661058i) q^{84} +(4.15516 - 1.02976i) q^{85} +(-1.01428 - 1.01428i) q^{86} +(-0.473416 - 1.76681i) q^{87} +(-0.897829 - 0.240573i) q^{88} +(-6.90537 - 1.85029i) q^{89} +(-2.23567 - 0.0421887i) q^{90} +(4.30580 + 8.14043i) q^{91} +(1.41022 - 1.41022i) q^{92} +(-0.299732 - 0.519150i) q^{93} +(-6.60208 + 3.81171i) q^{94} +(-0.722304 + 0.179005i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-1.94931 - 1.12544i) q^{97} +(0.412587 + 0.238207i) q^{98} +(-0.657257 + 0.657257i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7	\( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7 + 12 * q^11 - 8 * q^13 + 12 * q^15 - 8 * q^16 + 16 * q^17 - 16 * q^18 + 4 * q^19 - 4 * q^20 - 12 * q^22 - 4 * q^23 - 4 * q^25 + 4 * q^26 - 4 * q^28 + 48 * q^29 - 8 * q^30 + 16 * q^31 + 20 * q^34 + 12 * q^35 + 20 * q^37 - 4 * q^38 - 4 * q^39 - 12 * q^41 + 4 * q^43 + 12 * q^44 - 4 * q^46 - 64 * q^47 + 4 * q^49 + 16 * q^50 - 16 * q^52 + 32 * q^53 - 44 * q^55 - 24 * q^56 - 12 * q^58 - 4 * q^59 + 12 * q^60 + 4 * q^61 - 20 * q^62 - 24 * q^63 - 16 * q^64 - 8 * q^65 + 32 * q^66 - 36 * q^67 - 4 * q^68 - 4 * q^69 - 36 * q^71 - 8 * q^72 - 12 * q^74 + 8 * q^76 - 4 * q^77 - 12 * q^78 - 8 * q^80 + 8 * q^81 - 12 * q^82 + 24 * q^83 - 52 * q^85 + 16 * q^86 - 12 * q^87 + 24 * q^89 - 4 * q^90 - 8 * q^92 - 36 * q^94 - 44 * q^95 + 60 * q^97 + 12 * q^99

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