LMFDB - Embedded newform 390.2.bd.b.253.1

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			253.1
Root			$0.117630 + 0.893490i$ of defining polynomial
Character	$\chi$	$=$	390.253
Dual form			390.2.bd.b.37.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 - 0.500000i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.13554 - 0.662933i) q^{5} +(0.965926 + 0.258819i) q^{6} +(0.648516 + 1.12326i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.13554 - 0.662933i) q^{5} +(0.965926 + 0.258819i) q^{6} +(0.648516 + 1.12326i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +(1.51796 + 1.64189i) q^{10} +(2.28334 - 0.611818i) q^{11} +(-0.707107 - 0.707107i) q^{12} +(-1.97399 + 3.01718i) q^{13} -1.29703i q^{14} +(2.23435 + 0.0876265i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.79723 - 6.70736i) q^{17} -1.00000 q^{18} +(1.22132 - 4.55804i) q^{19} +(-0.493652 - 2.18090i) q^{20} +(-0.917141 - 0.917141i) q^{21} +(-2.28334 - 0.611818i) q^{22} +(-1.31661 - 4.91367i) q^{23} +(0.258819 + 0.965926i) q^{24} +(4.12104 + 2.83144i) q^{25} +(3.21811 - 1.62596i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(-0.648516 + 1.12326i) q^{28} +(5.49047 + 3.16993i) q^{29} +(-1.89119 - 1.19306i) q^{30} +(6.24653 - 6.24653i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-2.04718 + 1.18194i) q^{33} +(-4.91013 + 4.91013i) q^{34} +(-0.640282 - 2.82869i) q^{35} +(0.866025 + 0.500000i) q^{36} +(1.61817 - 2.80275i) q^{37} +(-3.33672 + 3.33672i) q^{38} +(1.12582 - 3.42528i) q^{39} +(-0.662933 + 2.13554i) q^{40} +(-2.19059 - 8.17538i) q^{41} +(0.335697 + 1.25284i) q^{42} +(-0.778549 - 0.208612i) q^{43} +(1.67152 + 1.67152i) q^{44} +(-2.18090 + 0.493652i) q^{45} +(-1.31661 + 4.91367i) q^{46} -11.6095 q^{47} +(0.258819 - 0.965926i) q^{48} +(2.65885 - 4.60527i) q^{49} +(-2.15321 - 4.51262i) q^{50} +6.94397i q^{51} +(-3.59995 - 0.200935i) q^{52} +(8.79736 + 8.79736i) q^{53} +(0.965926 - 0.258819i) q^{54} +(-5.28174 - 0.207139i) q^{55} +(1.12326 - 0.648516i) q^{56} +4.71883i q^{57} +(-3.16993 - 5.49047i) q^{58} +(5.81956 + 1.55935i) q^{59} +(1.04129 + 1.97882i) q^{60} +(2.10240 + 3.64147i) q^{61} +(-8.53291 + 2.28639i) q^{62} +(1.12326 + 0.648516i) q^{63} -1.00000 q^{64} +(6.21572 - 5.13467i) q^{65} +2.36388 q^{66} +(0.573907 + 0.331346i) q^{67} +(6.70736 - 1.79723i) q^{68} +(2.54350 + 4.40547i) q^{69} +(-0.859846 + 2.76986i) q^{70} +(-12.2489 - 3.28208i) q^{71} +(-0.500000 - 0.866025i) q^{72} -5.04229i q^{73} +(-2.80275 + 1.61817i) q^{74} +(-4.71345 - 1.66835i) q^{75} +(4.55804 - 1.22132i) q^{76} +(2.16801 + 2.16801i) q^{77} +(-2.68763 + 2.40346i) q^{78} +13.2885i q^{79} +(1.64189 - 1.51796i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-2.19059 + 8.17538i) q^{82} -2.04522 q^{83} +(0.335697 - 1.25284i) q^{84} +(-8.28459 + 13.1324i) q^{85} +(0.569937 + 0.569937i) q^{86} +(-6.12383 - 1.64087i) q^{87} +(-0.611818 - 2.28334i) q^{88} +(1.16115 + 4.33348i) q^{89} +(2.13554 + 0.662933i) q^{90} +(-4.66925 - 0.260620i) q^{91} +(3.59705 - 3.59705i) q^{92} +(-4.41696 + 7.65040i) q^{93} +(10.0541 + 5.80474i) q^{94} +(-5.62986 + 8.92421i) q^{95} +(-0.707107 + 0.707107i) q^{96} +(5.19551 - 2.99963i) q^{97} +(-4.60527 + 2.65885i) q^{98} +(1.67152 - 1.67152i) 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 $\left(\mathbb{Z}/390\mathbb{Z}\right)^\times$.

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{12}\right)$

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
$3$	−0.965926	+	0.258819i	−0.557678	+	0.149429i
$3$	−0.965926	+	0.258819i	−0.557678	+	0.149429i
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−2.13554	−	0.662933i	−0.955041	−	0.296473i
$5$	−2.13554	−	0.662933i	−0.955041	−	0.296473i
$6$	0.965926	+	0.258819i	0.394338	+	0.105662i
$7$	0.648516	+	1.12326i	0.245116	+	0.424554i	0.962164	−	0.272470i	$-0.0878406\pi$
$7$	0.648516	+	1.12326i	0.245116	+	0.424554i	−0.717048	+	0.697024i	$0.754507\pi$
$8$		−	1.00000i		−	0.353553i
$9$	0.866025	−	0.500000i	0.288675	−	0.166667i
$10$	1.51796	+	1.64189i	0.480022	+	0.519210i
$11$	2.28334	−	0.611818i	0.688451	−	0.184470i	0.102399	−	0.994743i	$-0.467348\pi$
$11$	2.28334	−	0.611818i	0.688451	−	0.184470i	0.586052	+	0.810273i	$0.300681\pi$
$12$	−0.707107	−	0.707107i	−0.204124	−	0.204124i
$13$	−1.97399	+	3.01718i	−0.547486	+	0.836815i
$13$	−1.97399	+	3.01718i	−0.547486	+	0.836815i
$14$		−	1.29703i		−	0.346647i
$15$	2.23435	+	0.0876265i	0.576907	+	0.0226251i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	1.79723	−	6.70736i	0.435893	−	1.62677i	−0.303027	−	0.952982i	$-0.597997\pi$
$17$	1.79723	−	6.70736i	0.435893	−	1.62677i	0.738920	−	0.673793i	$-0.235336\pi$
$18$	−1.00000			−0.235702
$19$	1.22132	−	4.55804i	0.280191	−	1.04569i	−0.672091	−	0.740468i	$-0.734604\pi$
$19$	1.22132	−	4.55804i	0.280191	−	1.04569i	0.952282	−	0.305218i	$-0.0987295\pi$
$20$	−0.493652	−	2.18090i	−0.110384	−	0.487663i
$21$	−0.917141	−	0.917141i	−0.200137	−	0.200137i
$22$	−2.28334	−	0.611818i	−0.486809	−	0.130440i
$23$	−1.31661	−	4.91367i	−0.274533	−	1.02457i	−0.956154	−	0.292865i	$-0.905391\pi$
$23$	−1.31661	−	4.91367i	−0.274533	−	1.02457i	0.681621	−	0.731705i	$-0.261275\pi$
$24$	0.258819	+	0.965926i	0.0528312	+	0.197169i
$25$	4.12104	+	2.83144i	0.824208	+	0.566287i
$26$	3.21811	−	1.62596i	0.631124	−	0.318877i
$27$	−0.707107	+	0.707107i	−0.136083	+	0.136083i
$28$	−0.648516	+	1.12326i	−0.122558	+	0.212277i
$29$	5.49047	+	3.16993i	1.01956	+	0.588640i	0.913975	−	0.405770i	$-0.132997\pi$
$29$	5.49047	+	3.16993i	1.01956	+	0.588640i	0.105580	+	0.994411i	$0.466330\pi$
$30$	−1.89119	−	1.19306i	−0.345283	−	0.217822i
$31$	6.24653	−	6.24653i	1.12191	−	1.12191i	0.130455	−	0.991454i	$-0.458356\pi$
$31$	6.24653	−	6.24653i	1.12191	−	1.12191i	0.991454	−	0.130455i	$-0.0416439\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	−2.04718	+	1.18194i	−0.356369	+	0.205750i
$34$	−4.91013	+	4.91013i	−0.842081	+	0.842081i
$35$	−0.640282	−	2.82869i	−0.108227	−	0.478137i
$36$	0.866025	+	0.500000i	0.144338	+	0.0833333i
$37$	1.61817	−	2.80275i	0.266025	−	0.460769i	−0.701807	−	0.712367i	$-0.747623\pi$
$37$	1.61817	−	2.80275i	0.266025	−	0.460769i	0.967832	+	0.251599i	$0.0809563\pi$
$38$	−3.33672	+	3.33672i	−0.541287	+	0.541287i
$39$	1.12582	−	3.42528i	0.180276	−	0.548483i
$40$	−0.662933	+	2.13554i	−0.104819	+	0.337658i
$41$	−2.19059	−	8.17538i	−0.342112	−	1.27678i	−0.895950	−	0.444155i	$-0.853504\pi$
$41$	−2.19059	−	8.17538i	−0.342112	−	1.27678i	0.553838	−	0.832625i	$-0.313163\pi$
$42$	0.335697	+	1.25284i	0.0517991	+	0.193317i
$43$	−0.778549	−	0.208612i	−0.118728	−	0.0318130i	0.198966	−	0.980006i	$-0.436242\pi$
$43$	−0.778549	−	0.208612i	−0.118728	−	0.0318130i	−0.317694	+	0.948193i	$0.602908\pi$
$44$	1.67152	+	1.67152i	0.251991	+	0.251991i
$45$	−2.18090	+	0.493652i	−0.325109	+	0.0735892i
$46$	−1.31661	+	4.91367i	−0.194124	+	0.724480i
$47$	−11.6095			−1.69342			−0.846709	−	0.532056i	$-0.821419\pi$
$47$	−11.6095			−1.69342			−0.846709	+	0.532056i	$0.821419\pi$
$48$	0.258819	−	0.965926i	0.0373573	−	0.139419i
$49$	2.65885	−	4.60527i	0.379836	−	0.657895i
$50$	−2.15321	−	4.51262i	−0.304509	−	0.638180i
$51$			6.94397i			0.972351i
$52$	−3.59995	−	0.200935i	−0.499223	−	0.0278647i
$53$	8.79736	+	8.79736i	1.20841	+	1.20841i	0.971542	+	0.236869i	$0.0761211\pi$
$53$	8.79736	+	8.79736i	1.20841	+	1.20841i	0.236869	+	0.971542i	$0.423879\pi$
$54$	0.965926	−	0.258819i	0.131446	−	0.0352208i
$55$	−5.28174	−	0.207139i	−0.712190	−	0.0279306i
$56$	1.12326	−	0.648516i	0.150102	−	0.0866617i
$57$			4.71883i			0.625025i
$58$	−3.16993	−	5.49047i	−0.416232	−	0.720934i
$59$	5.81956	+	1.55935i	0.757642	+	0.203010i	0.616905	−	0.787038i	$-0.288386\pi$
$59$	5.81956	+	1.55935i	0.757642	+	0.203010i	0.140737	+	0.990047i	$0.455053\pi$
$60$	1.04129	+	1.97882i	0.134430	+	0.255464i
$61$	2.10240	+	3.64147i	0.269185	+	0.466243i	0.968652	−	0.248423i	$-0.0799123\pi$
$61$	2.10240	+	3.64147i	0.269185	+	0.466243i	−0.699466	+	0.714665i	$0.746579\pi$
$62$	−8.53291	+	2.28639i	−1.08368	+	0.290372i
$63$	1.12326	+	0.648516i	0.141518	+	0.0817054i
$64$	−1.00000			−0.125000
$65$	6.21572	−	5.13467i	0.770965	−	0.636878i
$66$	2.36388			0.290974
$67$	0.573907	+	0.331346i	0.0701140	+	0.0404803i	0.534647	−	0.845075i	$-0.320445\pi$
$67$	0.573907	+	0.331346i	0.0701140	+	0.0404803i	−0.464533	+	0.885556i	$0.653778\pi$
$68$	6.70736	−	1.79723i	0.813387	−	0.217946i
$69$	2.54350	+	4.40547i	0.306201	+	0.530357i
$70$	−0.859846	+	2.76986i	−0.102771	+	0.331062i
$71$	−12.2489	−	3.28208i	−1.45367	−	0.389511i	−0.556374	−	0.830932i	$-0.687808\pi$
$71$	−12.2489	−	3.28208i	−1.45367	−	0.389511i	−0.897300	+	0.441421i	$0.854475\pi$
$72$	−0.500000	−	0.866025i	−0.0589256	−	0.102062i
$73$		−	5.04229i		−	0.590155i	−0.955473	−	0.295077i	$-0.904655\pi$
$73$		−	5.04229i		−	0.590155i	0.955473	−	0.295077i	$-0.0953454\pi$
$74$	−2.80275	+	1.61817i	−0.325813	+	0.188108i
$75$	−4.71345	−	1.66835i	−0.544262	−	0.192645i
$76$	4.55804	−	1.22132i	0.522843	−	0.140095i
$77$	2.16801	+	2.16801i	0.247068	+	0.247068i
$78$	−2.68763	+	2.40346i	−0.304314	+	0.272139i
$79$			13.2885i			1.49507i	0.664222	+	0.747536i	$0.268763\pi$
$79$			13.2885i			1.49507i	−0.664222	+	0.747536i	$0.731237\pi$
$80$	1.64189	−	1.51796i	0.183568	−	0.169713i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	−2.19059	+	8.17538i	−0.241910	+	0.902820i
$83$	−2.04522			−0.224492			−0.112246	−	0.993680i	$-0.535804\pi$
$83$	−2.04522			−0.224492			−0.112246	+	0.993680i	$0.535804\pi$
$84$	0.335697	−	1.25284i	0.0366275	−	0.136696i
$85$	−8.28459	+	13.1324i	−0.898590	+	1.42441i
$86$	0.569937	+	0.569937i	0.0614579	+	0.0614579i
$87$	−6.12383	−	1.64087i	−0.656543	−	0.175920i
$88$	−0.611818	−	2.28334i	−0.0652200	−	0.243404i
$89$	1.16115	+	4.33348i	0.123082	+	0.459348i	0.999764	−	0.0217223i	$-0.00691497\pi$
$89$	1.16115	+	4.33348i	0.123082	+	0.459348i	−0.876682	+	0.481070i	$0.840248\pi$
$90$	2.13554	+	0.662933i	0.225105	+	0.0698793i
$91$	−4.66925	−	0.260620i	−0.489470	−	0.0273204i
$92$	3.59705	−	3.59705i	0.375019	−	0.375019i
$93$	−4.41696	+	7.65040i	−0.458018	+	0.793310i
$94$	10.0541	+	5.80474i	1.03700	+	0.598714i
$95$	−5.62986	+	8.92421i	−0.577611	+	0.915605i
$96$	−0.707107	+	0.707107i	−0.0721688	+	0.0721688i
$97$	5.19551	−	2.99963i	0.527524	−	0.304566i	−0.212484	−	0.977165i	$-0.568155\pi$
$97$	5.19551	−	2.99963i	0.527524	−	0.304566i	0.740007	+	0.672599i	$0.234822\pi$
$98$	−4.60527	+	2.65885i	−0.465202	+	0.268585i
$99$	1.67152	−	1.67152i	0.167994	−	0.167994i
$100$	−0.391577	+	4.98464i	−0.0391577	+	0.498464i
$101$	12.2279	+	7.05976i	1.21672	+	0.702473i	0.964215	−	0.265123i	$-0.0854126\pi$
$101$	12.2279	+	7.05976i	1.21672	+	0.702473i	0.252504	+	0.967596i	$0.418746\pi$
$102$	3.47199	−	6.01366i	0.343778	−	0.595441i
$103$	−0.223293	+	0.223293i	−0.0220017	+	0.0220017i	−0.718022	−	0.696020i	$-0.754952\pi$
$103$	−0.223293	+	0.223293i	−0.0220017	+	0.0220017i	0.696020	+	0.718022i	$0.254952\pi$
$104$	3.01718	+	1.97399i	0.295859	+	0.193566i
$105$	1.35059	+	2.56659i	0.131804	+	0.250474i
$106$	−3.22006	−	12.0174i	−0.312760	−	1.16723i
$107$	−3.47715	−	12.9769i	−0.336149	−	1.25453i	−0.902618	−	0.430442i	$-0.858358\pi$
$107$	−3.47715	−	12.9769i	−0.336149	−	1.25453i	0.566469	−	0.824083i	$-0.308309\pi$
$108$	−0.965926	−	0.258819i	−0.0929463	−	0.0249049i
$109$	−2.20681	−	2.20681i	−0.211374	−	0.211374i	0.593477	−	0.804851i	$-0.297755\pi$
$109$	−2.20681	−	2.20681i	−0.211374	−	0.211374i	−0.804851	+	0.593477i	$0.797755\pi$
$110$	4.47055	+	2.82026i	0.426251	+	0.268901i
$111$	−0.837624	+	3.12606i	−0.0795038	+	0.296712i
$112$	−1.29703			−0.122558
$113$	−2.62886	+	9.81102i	−0.247302	+	0.922943i	0.724911	+	0.688843i	$0.241881\pi$
$113$	−2.62886	+	9.81102i	−0.247302	+	0.922943i	−0.972212	+	0.234100i	$0.924786\pi$
$114$	2.35942	−	4.08663i	0.220980	−	0.382748i
$115$	−0.445756	+	11.3661i	−0.0415670	+	1.05990i
$116$			6.33985i			0.588640i
$117$	−0.200935	+	3.59995i	−0.0185765	+	0.332815i
$118$	−4.26021	−	4.26021i	−0.392184	−	0.392184i
$119$	8.69967	−	2.33107i	0.797498	−	0.213689i
$120$	0.0876265	−	2.23435i	0.00799917	−	0.203967i
$121$	−4.68698	+	2.70603i	−0.426089	+	0.246003i
$122$		−	4.20481i		−	0.380685i
$123$	4.23189	+	7.32985i	0.381577	+	0.660910i
$124$	8.53291	+	2.28639i	0.766278	+	0.205324i
$125$	−6.92358	−	8.77861i	−0.619264	−	0.785183i
$126$	−0.648516	−	1.12326i	−0.0577744	−	0.100068i
$127$	12.9430	−	3.46805i	1.14850	−	0.307740i	0.366137	−	0.930561i	$-0.380680\pi$
$127$	12.9430	−	3.46805i	1.14850	−	0.307740i	0.782364	+	0.622821i	$0.214013\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	0.806013			0.0709655
$130$	−7.95030	+	1.33890i	−0.697288	+	0.117429i
$131$	−13.0083			−1.13654			−0.568272	−	0.822841i	$-0.692388\pi$
$131$	−13.0083			−1.13654			−0.568272	+	0.822841i	$0.692388\pi$
$132$	−2.04718	−	1.18194i	−0.178184	−	0.102875i
$133$	5.91193	−	1.58410i	0.512629	−	0.137359i
$134$	−0.331346	−	0.573907i	−0.0286239	−	0.0495781i
$135$	1.97882	−	1.04129i	0.170309	−	0.0896198i
$136$	−6.70736	−	1.79723i	−0.575152	−	0.154111i
$137$	1.36061	+	2.35665i	0.116245	+	0.201342i	0.918277	−	0.395939i	$-0.129581\pi$
$137$	1.36061	+	2.35665i	0.116245	+	0.201342i	−0.802032	+	0.597282i	$0.796248\pi$
$138$		−	5.08700i		−	0.433034i
$139$	1.84444	−	1.06489i	0.156443	−	0.0903225i	−0.419735	−	0.907647i	$-0.637877\pi$
$139$	1.84444	−	1.06489i	0.156443	−	0.0903225i	0.576178	+	0.817324i	$0.304544\pi$
$140$	2.12958	−	1.96885i	0.179982	−	0.166398i
$141$	11.2139	−	3.00476i	0.944381	−	0.253046i
$142$	8.96680	+	8.96680i	0.752477	+	0.752477i
$143$	−2.66132	+	8.09695i	−0.222550	+	0.677101i
$144$			1.00000i			0.0833333i
$145$	−9.62366	−	10.4093i	−0.799201	−	0.864446i
$146$	−2.52114	+	4.36675i	−0.208651	+	0.361395i
$147$	−1.37632	+	5.13651i	−0.113517	+	0.423652i
$148$	3.23633			0.266025
$149$	−1.18180	+	4.41052i	−0.0968164	+	0.361324i	−0.997289	−	0.0735898i	$-0.976554\pi$
$149$	−1.18180	+	4.41052i	−0.0968164	+	0.361324i	0.900472	+	0.434914i	$0.143221\pi$
$150$	3.24779	+	3.80156i	0.265181	+	0.310396i
$151$	−13.3144	−	13.3144i	−1.08351	−	1.08351i	−0.996179	−	0.0873303i	$-0.972166\pi$
$151$	−13.3144	−	13.3144i	−1.08351	−	1.08351i	−0.0873303	−	0.996179i	$-0.527834\pi$
$152$	−4.55804	−	1.22132i	−0.369706	−	0.0990624i
$153$	−1.79723	−	6.70736i	−0.145298	−	0.542258i
$154$	−0.793548	−	2.96156i	−0.0639459	−	0.238649i
$155$	−17.4807	+	9.19866i	−1.40409	+	0.738854i
$156$	3.52929	−	0.737646i	0.282569	−	0.0590590i
$157$	10.5530	−	10.5530i	0.842224	−	0.842224i	−0.146924	−	0.989148i	$-0.546937\pi$
$157$	10.5530	−	10.5530i	0.842224	−	0.842224i	0.989148	+	0.146924i	$0.0469372\pi$
$158$	6.64424	−	11.5082i	0.528587	−	0.915540i
$159$	−10.7745	−	6.22067i	−0.854475	−	0.493331i
$160$	−2.18090	+	0.493652i	−0.172415	+	0.0390266i
$161$	4.66550	−	4.66550i	0.367693	−	0.367693i
$162$	−0.866025	+	0.500000i	−0.0680414	+	0.0392837i
$163$	−1.52221	+	0.878849i	−0.119229	+	0.0688368i	−0.558428	−	0.829553i	$-0.688595\pi$
$163$	−1.52221	+	0.878849i	−0.119229	+	0.0688368i	0.439200	+	0.898390i	$0.355262\pi$
$164$	5.98479	−	5.98479i	0.467334	−	0.467334i
$165$	5.15538	−	1.16693i	0.401346	−	0.0908457i
$166$	1.77121	+	1.02261i	0.137473	+	0.0793699i
$167$	6.87400	−	11.9061i	0.531926	−	0.921324i	−0.467379	−	0.884057i	$-0.654802\pi$
$167$	6.87400	−	11.9061i	0.531926	−	0.921324i	0.999305	−	0.0372665i	$-0.0118650\pi$
$168$	−0.917141	+	0.917141i	−0.0707589	+	0.0707589i
$169$	−5.20673	−	11.9118i	−0.400518	−	0.916289i
$170$	13.7409	−	7.23068i	1.05388	−	0.554568i
$171$	−1.22132	−	4.55804i	−0.0933970	−	0.348562i
$172$	−0.208612	−	0.778549i	−0.0159065	−	0.0593638i
$173$	8.58782	+	2.30110i	0.652920	+	0.174949i	0.570049	−	0.821611i	$-0.306924\pi$
$173$	8.58782	+	2.30110i	0.652920	+	0.174949i	0.0828711	+	0.996560i	$0.473591\pi$
$174$	4.48295	+	4.48295i	0.339852	+	0.339852i
$175$	−0.507888	+	6.46525i	−0.0383927	+	0.488727i
$176$	−0.611818	+	2.28334i	−0.0461175	+	0.172113i
$177$	−6.02485			−0.452855
$178$	1.16115	−	4.33348i	0.0870320	−	0.324808i
$179$	−1.43583	+	2.48692i	−0.107319	+	0.185881i	−0.914683	−	0.404172i	$-0.867560\pi$
$179$	−1.43583	+	2.48692i	−0.107319	+	0.185881i	0.807364	+	0.590053i	$0.200893\pi$
$180$	−1.51796	−	1.64189i	−0.113142	−	0.122379i
$181$		−	15.2820i		−	1.13590i	−0.823062	−	0.567952i	$-0.807736\pi$
$181$		−	15.2820i		−	1.13590i	0.823062	−	0.567952i	$-0.192264\pi$
$182$	3.91338	+	2.56033i	0.290079	+	0.189784i
$183$	−2.97325	−	2.97325i	−0.219789	−	0.219789i
$184$	−4.91367	+	1.31661i	−0.362240	+	0.0970620i
$185$	−5.31369	+	4.91263i	−0.390670	+	0.361184i
$186$	7.65040	−	4.41696i	0.560955	−	0.323867i
$187$		−	16.4147i		−	1.20036i
$188$	−5.80474	−	10.0541i	−0.423354	−	0.733271i
$189$	−1.25284	−	0.335697i	−0.0911305	−	0.0244184i
$190$	9.33771	−	4.91367i	0.677429	−	0.356475i
$191$	−2.84601	−	4.92943i	−0.205930	−	0.356681i	0.744499	−	0.667624i	$-0.232689\pi$
$191$	−2.84601	−	4.92943i	−0.205930	−	0.356681i	−0.950429	+	0.310943i	$0.899355\pi$
$192$	0.965926	−	0.258819i	0.0697097	−	0.0186787i
$193$	3.75328	+	2.16696i	0.270167	+	0.155981i	0.628963	−	0.777435i	$-0.283479\pi$
$193$	3.75328	+	2.16696i	0.270167	+	0.155981i	−0.358797	+	0.933416i	$0.616813\pi$
$194$	−5.99925			−0.430721
$195$	−4.67497	+	6.56846i	−0.334781	+	0.470377i
$196$	5.31771			0.379836
$197$	0.358186	+	0.206799i	0.0255197	+	0.0147338i	0.512706	−	0.858564i	$-0.328643\pi$
$197$	0.358186	+	0.206799i	0.0255197	+	0.0147338i	−0.487186	+	0.873298i	$0.661977\pi$
$198$	−2.28334	+	0.611818i	−0.162270	+	0.0434800i
$199$	−8.50824	−	14.7367i	−0.603133	−	1.04466i	−0.992343	−	0.123509i	$-0.960585\pi$
$199$	−8.50824	−	14.7367i	−0.603133	−	1.04466i	0.389210	−	0.921149i	$-0.372748\pi$
$200$	2.83144	−	4.12104i	0.200213	−	0.291401i
$201$	−0.640111	−	0.171517i	−0.0451499	−	0.0120979i
$202$	−7.05976	−	12.2279i	−0.496723	−	0.860350i
$203$			8.22300i			0.577141i
$204$	−6.01366	+	3.47199i	−0.421040	+	0.243088i
$205$	−0.741652	+	18.9110i	−0.0517992	+	1.32080i
$206$	0.305024	−	0.0817310i	0.0212520	−	0.00569447i
$207$	−3.59705	−	3.59705i	−0.250012	−	0.250012i
$208$	−1.62596	−	3.21811i	−0.112740	−	0.223136i
$209$		−	11.1548i		−	0.771591i
$210$	0.113655	−	2.89803i	0.00784291	−	0.199983i
$211$	5.51865	−	9.55858i	0.379919	−	0.658040i	−0.611131	−	0.791530i	$-0.709285\pi$
$211$	5.51865	−	9.55858i	0.379919	−	0.658040i	0.991050	+	0.133490i	$0.0426184\pi$
$212$	−3.22006	+	12.0174i	−0.221154	+	0.825360i
$213$	12.6810			0.868886
$214$	−3.47715	+	12.9769i	−0.237693	+	0.887083i
$215$	1.52432	+	0.961624i	0.103958	+	0.0655822i
$216$	0.707107	+	0.707107i	0.0481125	+	0.0481125i
$217$	11.0675	+	2.96552i	0.751309	+	0.201313i
$218$	0.807747	+	3.01455i	0.0547076	+	0.204171i
$219$	1.30504	+	4.87047i	0.0881864	+	0.329116i
$220$	−2.46148	−	4.67769i	−0.165953	−	0.315370i
$221$	16.6896	+	18.6628i	1.12266	+	1.25540i
$222$	2.28843	−	2.28843i	0.153590	−	0.153590i
$223$	5.99361	−	10.3812i	0.401362	−	0.695179i	−0.592529	−	0.805549i	$-0.701870\pi$
$223$	5.99361	−	10.3812i	0.401362	−	0.695179i	0.993891	+	0.110370i	$0.0352037\pi$
$224$	1.12326	+	0.648516i	0.0750512	+	0.0433308i
$225$	4.98464	+	0.391577i	0.332310	+	0.0261051i
$226$	7.18217	−	7.18217i	0.477751	−	0.477751i
$227$	−9.07894	+	5.24173i	−0.602591	+	0.347906i	−0.770060	−	0.637971i	$-0.779774\pi$
$227$	−9.07894	+	5.24173i	−0.602591	+	0.347906i	0.167469	+	0.985877i	$0.446440\pi$
$228$	−4.08663	+	2.35942i	−0.270644	+	0.156256i
$229$	−8.70469	+	8.70469i	−0.575222	+	0.575222i	−0.933583	−	0.358361i	$-0.883336\pi$
$229$	−8.70469	+	8.70469i	−0.575222	+	0.575222i	0.358361	+	0.933583i	$0.383336\pi$
$230$	6.06911	−	9.62049i	0.400185	−	0.634356i
$231$	−2.65526	−	1.53302i	−0.174703	−	0.100865i
$232$	3.16993	−	5.49047i	0.208116	−	0.360467i
$233$	−18.0690	+	18.0690i	−1.18374	+	1.18374i	−0.204973	+	0.978768i	$0.565711\pi$
$233$	−18.0690	+	18.0690i	−1.18374	+	1.18374i	−0.978768	+	0.204973i	$0.934289\pi$
$234$	1.97399	−	3.01718i	0.129044	−	0.197239i
$235$	24.7925	+	7.69631i	1.61728	+	0.502052i
$236$	1.55935	+	5.81956i	0.101505	+	0.378821i
$237$	−3.43931	−	12.8357i	−0.223407	−	0.833768i
$238$	−8.69967	−	2.33107i	−0.563916	−	0.151101i
$239$	9.68691	+	9.68691i	0.626594	+	0.626594i	0.947209	−	0.320615i	$-0.103890\pi$
$239$	9.68691	+	9.68691i	0.626594	+	0.626594i	−0.320615	+	0.947209i	$0.603890\pi$
$240$	−1.19306	+	1.89119i	−0.0770118	+	0.122076i
$241$	−3.00649	+	11.2204i	−0.193665	+	0.722769i	0.798943	+	0.601407i	$0.205393\pi$
$241$	−3.00649	+	11.2204i	−0.193665	+	0.722769i	−0.992608	+	0.121362i	$0.961274\pi$
$242$	5.41206			0.347900
$243$	−0.258819	+	0.965926i	−0.0166032	+	0.0619642i
$244$	−2.10240	+	3.64147i	−0.134593	+	0.233121i
$245$	−8.73106	+	8.07208i	−0.557807	+	0.515706i
$246$		−	8.46378i		−	0.539631i
$247$	11.3415	+	12.6825i	0.721645	+	0.806967i
$248$	−6.24653	−	6.24653i	−0.396655	−	0.396655i
$249$	1.97553	−	0.529342i	0.125194	−	0.0335457i
$250$	1.60669	+	11.0643i	0.101616	+	0.699767i
$251$	−14.5774	+	8.41627i	−0.920118	+	0.531230i	−0.883673	−	0.468105i	$-0.844937\pi$
$251$	−14.5774	+	8.41627i	−0.920118	+	0.531230i	−0.0364452	+	0.999336i	$0.511603\pi$
$252$			1.29703i			0.0817054i
$253$	−6.01254	−	10.4140i	−0.378005	−	0.654724i
$254$	−12.9430	−	3.46805i	−0.812113	−	0.217605i
$255$	4.60339	−	14.8291i	0.288275	−	0.928635i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	6.00363	−	1.60867i	0.374496	−	0.100346i	−0.0666611	−	0.997776i	$-0.521235\pi$
$257$	6.00363	−	1.60867i	0.374496	−	0.100346i	0.441158	+	0.897430i	$0.354568\pi$
$258$	−0.698028	−	0.403007i	−0.0434573	−	0.0250901i
$259$	4.19763			0.260828
$260$	7.55462	+	2.81563i	0.468517	+	0.174618i
$261$	6.33985			0.392427
$262$	11.2655	+	6.50417i	0.695988	+	0.401829i
$263$	12.4555	−	3.33744i	0.768038	−	0.205795i	0.146534	−	0.989206i	$-0.453188\pi$
$263$	12.4555	−	3.33744i	0.768038	−	0.205795i	0.621505	+	0.783410i	$0.286522\pi$
$264$	1.18194	+	2.04718i	0.0727435	+	0.125995i
$265$	−12.9550	−	24.6192i	−0.795821	−	1.51234i
$266$	−5.91193	−	1.58410i	−0.362484	−	0.0971272i
$267$	−2.24317	−	3.88529i	−0.137280	−	0.237776i
$268$			0.662691i			0.0404803i
$269$	0.184766	−	0.106675i	0.0112654	−	0.00650406i	−0.494357	−	0.869259i	$-0.664596\pi$
$269$	0.184766	−	0.106675i	0.0112654	−	0.00650406i	0.505622	+	0.862755i	$0.331263\pi$
$270$	−2.23435	−	0.0876265i	−0.135978	−	0.00533278i
$271$	1.83744	−	0.492340i	0.111616	−	0.0299075i	−0.202578	−	0.979266i	$-0.564932\pi$
$271$	1.83744	−	0.492340i	0.111616	−	0.0299075i	0.314195	+	0.949358i	$0.398265\pi$
$272$	4.91013	+	4.91013i	0.297720	+	0.297720i
$273$	4.57760	−	0.956752i	0.277049	−	0.0579052i
$274$		−	2.72123i		−	0.164395i
$275$	11.1420	+	3.94379i	0.671890	+	0.237820i
$276$	−2.54350	+	4.40547i	−0.153101	+	0.265178i
$277$	−6.22473	+	23.2310i	−0.374008	+	1.39582i	0.480781	+	0.876841i	$0.340353\pi$
$277$	−6.22473	+	23.2310i	−0.374008	+	1.39582i	−0.854789	+	0.518976i	$0.826314\pi$
$278$	−2.12977			−0.127735
$279$	2.28639	−	8.53291i	0.136882	−	0.510852i
$280$	−2.82869	+	0.640282i	−0.169047	+	0.0382642i
$281$	−6.72882	−	6.72882i	−0.401408	−	0.401408i	0.477321	−	0.878729i	$-0.341608\pi$
$281$	−6.72882	−	6.72882i	−0.401408	−	0.401408i	−0.878729	+	0.477321i	$0.841608\pi$
$282$	−11.2139	−	3.00476i	−0.667778	−	0.178931i
$283$	−3.36636	−	12.5634i	−0.200109	−	0.746818i	−0.990885	−	0.134712i	$-0.956989\pi$
$283$	−3.36636	−	12.5634i	−0.200109	−	0.746818i	0.790775	−	0.612106i	$-0.209678\pi$
$284$	−3.28208	−	12.2489i	−0.194755	−	0.726837i
$285$	3.12827	−	10.0772i	0.185303	−	0.596924i
$286$	6.35324	−	5.68151i	0.375675	−	0.335955i
$287$	7.76247	−	7.76247i	0.458204	−	0.458204i
$288$	0.500000	−	0.866025i	0.0294628	−	0.0510310i
$289$	−27.0362	−	15.6094i	−1.59037	−	0.918199i
$290$	3.12968	+	13.8266i	0.183781	+	0.811923i
$291$	−4.24211	+	4.24211i	−0.248677	+	0.248677i
$292$	4.36675	−	2.52114i	0.255545	−	0.147539i
$293$	6.08742	−	3.51457i	0.355631	−	0.205324i	−0.311532	−	0.950236i	$-0.600842\pi$
$293$	6.08742	−	3.51457i	0.355631	−	0.205324i	0.667162	+	0.744912i	$0.267509\pi$
$294$	3.76019	−	3.76019i	0.219298	−	0.219298i
$295$	−11.3941	−	7.18802i	−0.663392	−	0.418503i
$296$	−2.80275	−	1.61817i	−0.162906	−	0.0940540i
$297$	−1.18194	+	2.04718i	−0.0685832	+	0.118790i
$298$	3.22872	−	3.22872i	0.187035	−	0.187035i
$299$	17.4244	+	5.72707i	1.00768	+	0.331205i
$300$	−0.911886	−	4.91614i	−0.0526478	−	0.283834i
$301$	−0.270576	−	1.00980i	−0.0155957	−	0.0582041i
$302$	4.87341	+	18.1878i	0.280433	+	1.04659i
$303$	−13.6384	−	3.65440i	−0.783507	−	0.209940i
$304$	3.33672	+	3.33672i	0.191374	+	0.191374i
$305$	−2.07571	−	9.17025i	−0.118855	−	0.525087i
$306$	−1.79723	+	6.70736i	−0.102741	+	0.383434i
$307$	−13.5523			−0.773472			−0.386736	−	0.922190i	$-0.626398\pi$
$307$	−13.5523			−0.773472			−0.386736	+	0.922190i	$0.626398\pi$
$308$	−0.793548	+	2.96156i	−0.0452166	+	0.168751i
$309$	0.157892	−	0.273477i	0.00898217	−	0.0155576i
$310$	19.7381	+	0.774086i	1.12105	+	0.0439651i
$311$			30.2666i			1.71626i	0.513433	+	0.858129i	$0.328373\pi$
$311$			30.2666i			1.71626i	−0.513433	+	0.858129i	$0.671627\pi$
$312$	−3.42528	−	1.12582i	−0.193918	−	0.0637372i
$313$	16.4458	+	16.4458i	0.929571	+	0.929571i	0.997678	−	0.0681069i	$-0.0216959\pi$
$313$	16.4458	+	16.4458i	0.929571	+	0.929571i	−0.0681069	+	0.997678i	$0.521696\pi$
$314$	−14.4157	+	3.86268i	−0.813526	+	0.217984i
$315$	−1.96885	−	2.12958i	−0.110932	−	0.119988i
$316$	−11.5082	+	6.64424i	−0.647385	+	0.373768i
$317$			14.9396i			0.839094i	0.907734	+	0.419547i	$0.137811\pi$
$317$			14.9396i			0.839094i	−0.907734	+	0.419547i	$0.862189\pi$
$318$	6.22067	+	10.7745i	0.348838	+	0.604205i
$319$	14.4760	+	3.87883i	0.810501	+	0.217173i
$320$	2.13554	+	0.662933i	0.119380	+	0.0370591i
$321$	6.71734	+	11.6348i	0.374926	+	0.649390i
$322$	−6.37319	+	1.70769i	−0.355164	+	0.0951658i
$323$	−28.3774	−	16.3837i	−1.57896	−	0.911615i
$324$	1.00000			0.0555556
$325$	−16.6778	+	6.84469i	−0.925120	+	0.379675i
$326$	1.75770			0.0973499
$327$	2.70278	+	1.56045i	0.149464	+	0.0862930i
$328$	−8.17538	+	2.19059i	−0.451410	+	0.120955i
$329$	−7.52894	−	13.0405i	−0.415084	−	0.718947i
$330$	−5.04816	−	1.56710i	−0.277892	−	0.0862658i
$331$	11.0457	+	2.95968i	0.607125	+	0.162679i	0.549268	−	0.835646i	$-0.314907\pi$
$331$	11.0457	+	2.95968i	0.607125	+	0.162679i	0.0578568	+	0.998325i	$0.481573\pi$
$332$	−1.02261	−	1.77121i	−0.0561230	−	0.0972079i
$333$		−	3.23633i		−	0.177350i
$334$	−11.9061	+	6.87400i	−0.651474	+	0.376129i
$335$	−1.00594	−	1.08806i	−0.0549604	−	0.0594472i
$336$	1.25284	−	0.335697i	0.0683479	−	0.0183138i
$337$	20.3283	+	20.3283i	1.10735	+	1.10735i	0.993497	+	0.113854i	$0.0363196\pi$
$337$	20.3283	+	20.3283i	1.10735	+	1.10735i	0.113854	+	0.993497i	$0.463680\pi$
$338$	−1.44671	+	12.9192i	−0.0786909	+	0.702715i
$339$		−	10.1571i		−	0.551659i
$340$	−15.5153	−	0.608476i	−0.841434	−	0.0329993i
$341$	10.4412	−	18.0847i	0.565422	−	0.979339i
$342$	−1.22132	+	4.55804i	−0.0660416	+	0.246471i
$343$	15.9765			0.862648
$344$	−0.208612	+	0.778549i	−0.0112476	+	0.0419765i
$345$	−2.51121	−	11.0942i	−0.135199	−	0.597293i
$346$	−6.28672	−	6.28672i	−0.337976	−	0.337976i
$347$	13.4434	+	3.60214i	0.721677	+	0.193373i	0.600920	−	0.799309i	$-0.294801\pi$
$347$	13.4434	+	3.60214i	0.721677	+	0.193373i	0.120757	+	0.992682i	$0.461468\pi$
$348$	−1.64087	−	6.12383i	−0.0879601	−	0.328272i
$349$	7.74172	+	28.8925i	0.414405	+	1.54658i	0.786025	+	0.618195i	$0.212136\pi$
$349$	7.74172	+	28.8925i	0.414405	+	1.54658i	−0.371620	+	0.928385i	$0.621198\pi$
$350$	3.67247	−	5.34512i	0.196302	−	0.285709i
$351$	−0.737646	−	3.52929i	−0.0393727	−	0.188379i
$352$	1.67152	−	1.67152i	0.0890922	−	0.0890922i
$353$	13.4248	−	23.2525i	0.714532	−	1.23760i	−0.248608	−	0.968604i	$-0.579973\pi$
$353$	13.4248	−	23.2525i	0.714532	−	1.23760i	0.963140	−	0.269001i	$-0.0866934\pi$
$354$	5.21767	+	3.01242i	0.277316	+	0.160109i
$355$	23.9821	+	15.1292i	1.27284	+	0.802974i
$356$	−3.17233	+	3.17233i	−0.168133	+	0.168133i
$357$	−7.79991	+	4.50328i	−0.412815	+	0.238339i
$358$	2.48692	−	1.43583i	0.131438	−	0.0758858i
$359$	−5.81339	+	5.81339i	−0.306819	+	0.306819i	−0.843674	−	0.536855i	$-0.819612\pi$
$359$	−5.81339	+	5.81339i	−0.306819	+	0.306819i	0.536855	+	0.843674i	$0.319612\pi$
$360$	0.493652	+	2.18090i	0.0260177	+	0.114943i
$361$	−2.82964	−	1.63369i	−0.148928	−	0.0859837i
$362$	−7.64101	+	13.2346i	−0.401602	+	0.695596i
$363$	3.82690	−	3.82690i	0.200860	−	0.200860i
$364$	−2.10892	−	4.17400i	−0.110538	−	0.218777i
$365$	−3.34270	+	10.7680i	−0.174965	+	0.563622i
$366$	1.08828	+	4.06153i	0.0568855	+	0.212300i
$367$	7.61596	+	28.4231i	0.397550	+	1.48368i	0.817393	+	0.576080i	$0.195418\pi$
$367$	7.61596	+	28.4231i	0.397550	+	1.48368i	−0.419844	+	0.907596i	$0.637915\pi$
$368$	4.91367	+	1.31661i	0.256143	+	0.0686332i
$369$	−5.98479	−	5.98479i	−0.311556	−	0.311556i
$370$	7.05810	−	1.59762i	0.366933	−	0.0830564i
$371$	−4.17652	+	15.5870i	−0.216834	+	0.809236i
$372$	−8.83392			−0.458018
$373$	2.73310	−	10.2001i	0.141515	−	0.528140i	−0.858371	−	0.513029i	$-0.828523\pi$
$373$	2.73310	−	10.2001i	0.141515	−	0.528140i	0.999886	−	0.0151105i	$-0.00481002\pi$
$374$	−8.20737	+	14.2156i	−0.424393	+	0.735070i
$375$	8.95974	+	6.68753i	0.462679	+	0.345343i
$376$			11.6095i			0.598714i
$377$	−20.4024	+	10.3083i	−1.05078	+	0.530906i
$378$	0.917141	+	0.917141i	0.0471726	+	0.0471726i
$379$	−6.58577	+	1.76465i	−0.338288	+	0.0906440i	−0.423964	−	0.905679i	$-0.639362\pi$
$379$	−6.58577	+	1.76465i	−0.338288	+	0.0906440i	0.0856759	+	0.996323i	$0.472695\pi$
$380$	−10.5435	−	0.413495i	−0.540871	−	0.0212118i
$381$	−11.6043	+	6.69977i	−0.594508	+	0.343239i
$382$			5.69202i			0.291229i
$383$	9.91784	+	17.1782i	0.506778	+	0.877765i	0.999969	+	0.00784427i	$0.00249694\pi$
$383$	9.91784	+	17.1782i	0.506778	+	0.877765i	−0.493191	+	0.869921i	$0.664170\pi$
$384$	−0.965926	−	0.258819i	−0.0492922	−	0.0132078i
$385$	−3.19262	−	6.06712i	−0.162711	−	0.309209i
$386$	−2.16696	−	3.75328i	−0.110295	−	0.191037i
$387$	−0.778549	+	0.208612i	−0.0395759	+	0.0106043i
$388$	5.19551	+	2.99963i	0.263762	+	0.152283i
$389$	−26.5912			−1.34823			−0.674113	−	0.738628i	$-0.735474\pi$
$389$	−26.5912			−1.34823			−0.674113	+	0.738628i	$0.735474\pi$
$390$	7.33287	−	3.35097i	0.371314	−	0.169683i
$391$	−35.3240			−1.78641
$392$	−4.60527	−	2.65885i	−0.232601	−	0.134292i
$393$	12.5651	−	3.36680i	0.633825	−	0.169833i
$394$	−0.206799	−	0.358186i	−0.0104184	−	0.0180451i
$395$	8.80938	−	28.3781i	0.443248	−	1.42785i
$396$	2.28334	+	0.611818i	0.114742	+	0.0307450i
$397$	−4.98507	−	8.63440i	−0.250194	−	0.433348i	0.713385	−	0.700772i	$-0.247161\pi$
$397$	−4.98507	−	8.63440i	−0.250194	−	0.433348i	−0.963579	+	0.267424i	$0.913828\pi$
$398$			17.0165i			0.852959i
$399$	−5.30049	+	3.06024i	−0.265357	+	0.153204i
$400$	−4.51262	+	2.15321i	−0.225631	+	0.107660i
$401$	17.9265	−	4.80339i	0.895206	−	0.239870i	0.218250	−	0.975893i	$-0.429965\pi$
$401$	17.9265	−	4.80339i	0.895206	−	0.239870i	0.676956	+	0.736023i	$0.263299\pi$
$402$	0.468594	+	0.468594i	0.0233713	+	0.0233713i
$403$	6.51631	+	31.1775i	0.324601	+	1.55306i
$404$			14.1195i			0.702473i
$405$	−1.64189	+	1.51796i	−0.0815860	+	0.0754282i
$406$	4.11150	−	7.12132i	0.204050	−	0.353425i
$407$	1.98005	−	7.38963i	0.0981472	−	0.366290i
$408$	6.94397			0.343778
$409$	2.53797	−	9.47184i	0.125495	−	0.468352i	−0.874362	−	0.485274i	$-0.838720\pi$
$409$	2.53797	−	9.47184i	0.125495	−	0.468352i	0.999857	+	0.0169217i	$0.00538659\pi$
$410$	10.0978	−	16.0066i	0.498695	−	0.790510i
$411$	−1.92420	−	1.92420i	−0.0949137	−	0.0949137i
$412$	−0.305024	−	0.0817310i	−0.0150275	−	0.00402659i
$413$	2.02252	+	7.54816i	0.0995218	+	0.371421i
$414$	1.31661	+	4.91367i	0.0647080	+	0.241493i
$415$	4.36764	+	1.35584i	0.214399	+	0.0665558i
$416$	−0.200935	+	3.59995i	−0.00985167	+	0.176502i
$417$	−1.50598	+	1.50598i	−0.0737480	+	0.0737480i
$418$	−5.57738	+	9.66031i	−0.272799	+	0.472501i
$419$	−5.99767	−	3.46276i	−0.293005	−	0.169167i	0.346291	−	0.938127i	$-0.387441\pi$
$419$	−5.99767	−	3.46276i	−0.293005	−	0.169167i	−0.639296	+	0.768960i	$0.720774\pi$
$420$	−1.54744	+	2.45294i	−0.0755074	+	0.119691i
$421$	−19.5137	+	19.5137i	−0.951041	+	0.951041i	−0.998856	−	0.0478153i	$-0.984774\pi$
$421$	−19.5137	+	19.5137i	−0.951041	+	0.951041i	0.0478153	+	0.998856i	$0.484774\pi$
$422$	−9.55858	+	5.51865i	−0.465304	+	0.268644i
$423$	−10.0541	+	5.80474i	−0.488848	+	0.282236i
$424$	8.79736	−	8.79736i	0.427238	−	0.427238i
$425$	26.3979	−	22.5526i	1.28049	−	1.09396i
$426$	−10.9820	−	6.34049i	−0.532082	−	0.307198i
$427$	−2.72689	+	4.72311i	−0.131963	+	0.228567i
$428$	9.49976	−	9.49976i	0.459188	−	0.459188i
$429$	0.474988	−	8.50985i	0.0229326	−	0.410860i
$430$	−0.839292	−	1.59495i	−0.0404743	−	0.0769155i
$431$	0.563587	+	2.10333i	0.0271470	+	0.101314i	0.978170	−	0.207806i	$-0.0666322\pi$
$431$	0.563587	+	2.10333i	0.0271470	+	0.101314i	−0.951023	+	0.309120i	$0.899966\pi$
$432$	−0.258819	−	0.965926i	−0.0124524	−	0.0464731i
$433$	−34.9027	−	9.35214i	−1.67731	−	0.449435i	−0.710246	−	0.703953i	$-0.751417\pi$
$433$	−34.9027	−	9.35214i	−1.67731	−	0.449435i	−0.967068	+	0.254518i	$0.918083\pi$
$434$	−8.10195	−	8.10195i	−0.388906	−	0.388906i
$435$	11.9899	+	7.56384i	0.574870	+	0.362658i
$436$	0.807747	−	3.01455i	0.0386841	−	0.144371i
$437$	−24.0047			−1.14830
$438$	1.30504	−	4.87047i	0.0623572	−	0.232720i
$439$	−8.21571	+	14.2300i	−0.392114	+	0.679162i	−0.992728	−	0.120377i	$-0.961590\pi$
$439$	−8.21571	+	14.2300i	−0.392114	+	0.679162i	0.600614	+	0.799539i	$0.294923\pi$
$440$	−0.207139	+	5.28174i	−0.00987496	+	0.251797i
$441$		−	5.31771i		−	0.253224i
$442$	−5.12220	−	24.5073i	−0.243638	−	1.16569i
$443$	−27.3942	−	27.3942i	−1.30154	−	1.30154i	−0.927353	−	0.374187i	$-0.877922\pi$
$443$	−27.3942	−	27.3942i	−1.30154	−	1.30154i	−0.374187	−	0.927353i	$-0.622078\pi$
$444$	−3.12606	+	0.837624i	−0.148356	+	0.0397519i
$445$	0.393123	−	10.0241i	0.0186358	−	0.475186i
$446$	−10.3812	+	5.99361i	−0.491566	+	0.283806i
$447$		−	4.56611i		−	0.215969i
$448$	−0.648516	−	1.12326i	−0.0306395	−	0.0530692i
$449$	39.0040	+	10.4511i	1.84071	+	0.493218i	0.998915	−	0.0465717i	$-0.0148296\pi$
$449$	39.0040	+	10.4511i	1.84071	+	0.493218i	0.841800	+	0.539790i	$0.181496\pi$
$450$	−4.12104	−	2.83144i	−0.194268	−	0.133475i
$451$	−10.0037	−	17.3269i	−0.471055	−	0.815892i
$452$	−9.81102	+	2.62886i	−0.461472	+	0.123651i
$453$	16.3067	+	9.41470i	0.766157	+	0.442341i
$454$	10.4835			0.492013
$455$	9.79859	+	3.65196i	0.459365	+	0.171207i
$456$	4.71883			0.220980
$457$	6.12025	+	3.53353i	0.286293	+	0.165291i	0.636269	−	0.771467i	$-0.280477\pi$
$457$	6.12025	+	3.53353i	0.286293	+	0.165291i	−0.349976	+	0.936759i	$0.613810\pi$
$458$	11.8908	−	3.18614i	0.555622	−	0.148878i
$459$	3.47199	+	6.01366i	0.162058	+	0.280694i
$460$	−10.0662	+	5.29703i	−0.469341	+	0.246976i
$461$	−15.1853	−	4.06888i	−0.707249	−	0.189507i	−0.112774	−	0.993621i	$-0.535974\pi$
$461$	−15.1853	−	4.06888i	−0.707249	−	0.189507i	−0.594475	+	0.804114i	$0.702640\pi$
$462$	1.53302	+	2.65526i	0.0713224	+	0.123534i
$463$		−	13.2887i		−	0.617577i	−0.951131	−	0.308788i	$-0.900077\pi$
$463$		−	13.2887i		−	0.617577i	0.951131	−	0.308788i	$-0.0999235\pi$
$464$	−5.49047	+	3.16993i	−0.254889	+	0.147160i
$465$	14.5043	−	13.4096i	0.672620	−	0.621854i
$466$	24.6827	−	6.61372i	1.14341	−	0.306375i
$467$	11.5225	+	11.5225i	0.533200	+	0.533200i	0.921523	−	0.388324i	$-0.126946\pi$
$467$	11.5225	+	11.5225i	0.533200	+	0.533200i	−0.388324	+	0.921523i	$0.626946\pi$
$468$	−3.21811	+	1.62596i	−0.148757	+	0.0751600i
$469$			0.859532i			0.0396895i
$470$	−17.6228	−	19.0615i	−0.812878	−	0.879239i
$471$	−7.46212	+	12.9248i	−0.343837	+	0.595542i
$472$	1.55935	−	5.81956i	0.0717747	−	0.267867i
$473$	−1.90532			−0.0876067
$474$	−3.43931	+	12.8357i	−0.157973	+	0.589563i
$475$	17.9389	−	15.3258i	0.823095	−	0.703195i
$476$	6.36860	+	6.36860i	0.291904	+	0.291904i
$477$	12.0174	+	3.22006i	0.550240	+	0.147436i
$478$	−3.54566	−	13.2326i	−0.162175	−	0.605244i
$479$	−8.77511	−	32.7492i	−0.400945	−	1.49635i	−0.811413	−	0.584473i	$-0.801301\pi$
$479$	−8.77511	−	32.7492i	−0.400945	−	1.49635i	0.410468	−	0.911875i	$-0.365365\pi$
$480$	1.97882	−	1.04129i	0.0903202	−	0.0475281i
$481$	5.26214	+	10.4149i	0.239933	+	0.474878i
$482$	8.21390	−	8.21390i	0.374133	−	0.374133i
$483$	−3.29900	+	5.71404i	−0.150110	+	0.259998i
$484$	−4.68698	−	2.70603i	−0.213045	−	0.123001i
$485$	−13.0837	+	2.96154i	−0.594102	+	0.134477i
$486$	0.707107	−	0.707107i	0.0320750	−	0.0320750i
$487$	34.0102	−	19.6358i	1.54115	−	0.889783i	0.542383	−	0.840131i	$-0.317522\pi$
$487$	34.0102	−	19.6358i	1.54115	−	0.889783i	0.998767	−	0.0496516i	$-0.0158111\pi$
$488$	3.64147	−	2.10240i	0.164842	−	0.0951714i
$489$	1.24288	−	1.24288i	0.0562050	−	0.0562050i
$490$	11.5974	−	2.62509i	0.523915	−	0.118590i
$491$	34.8781	+	20.1369i	1.57403	+	0.908765i	0.995668	+	0.0929826i	$0.0296401\pi$
$491$	34.8781	+	20.1369i	1.57403	+	0.908765i	0.578359	+	0.815782i	$0.303693\pi$
$492$	−4.23189	+	7.32985i	−0.190788	+	0.330455i
$493$	31.1295	−	31.1295i	1.40200	−	1.40200i
$494$	−3.48083	−	16.6541i	−0.156610	−	0.749304i
$495$	−4.67769	+	2.46148i	−0.210247	+	0.110635i
$496$	2.28639	+	8.53291i	0.102662	+	0.383139i
$497$	−4.25696	−	15.8872i	−0.190951	−	0.712638i
$498$	−1.97553	−	0.529342i	−0.0885257	−	0.0237204i
$499$	−14.8255	−	14.8255i	−0.663679	−	0.663679i	0.292566	−	0.956245i	$-0.405491\pi$
$499$	−14.8255	−	14.8255i	−0.663679	−	0.663679i	−0.956245	+	0.292566i	$0.905491\pi$
$500$	4.14071	−	10.3853i	0.185178	−	0.464445i
$501$	−3.55825	+	13.2796i	−0.158971	+	0.593287i
$502$	16.8325			0.751273
$503$	2.29209	−	8.55419i	0.102199	−	0.381412i	−0.895813	−	0.444431i	$-0.853406\pi$
$503$	2.29209	−	8.55419i	0.102199	−	0.381412i	0.998012	+	0.0630184i	$0.0200727\pi$
$504$	0.648516	−	1.12326i	0.0288872	−	0.0500341i
$505$	−21.4329	−	23.1826i	−0.953752	−	1.03161i
$506$			12.0251i			0.534580i
$507$	8.11231	+	10.1583i	0.360280	+	0.451145i
$508$	9.47490	+	9.47490i	0.420381	+	0.420381i
$509$	13.6779	−	3.66497i	0.606261	−	0.162447i	0.0573867	−	0.998352i	$-0.481723\pi$
$509$	13.6779	−	3.66497i	0.606261	−	0.162447i	0.548874	+	0.835905i	$0.315057\pi$
$510$	−11.4012	+	10.5407i	−0.504854	+	0.466750i
$511$	5.66381	−	3.27000i	0.250552	−	0.144656i
$512$			1.00000i			0.0441942i
$513$	2.35942	+	4.08663i	0.104171	+	0.180429i
$514$	−6.00363	−	1.60867i	−0.264809	−	0.0709554i
$515$	0.624879	−	0.328822i	0.0275355	−	0.0144896i
$516$	0.403007	+	0.698028i	0.0177414	+	0.0307290i
$517$	−26.5084	+	7.10289i	−1.16584	+	0.312385i
$518$	−3.63525	−	2.09881i	−0.159724	−	0.0922166i
$519$	−8.89076			−0.390261
$520$	−5.13467	−	6.21572i	−0.225170	−	0.272577i
$521$	−4.48877			−0.196657			−0.0983284	−	0.995154i	$-0.531350\pi$
$521$	−4.48877			−0.196657			−0.0983284	+	0.995154i	$0.531350\pi$
$522$	−5.49047	−	3.16993i	−0.240311	−	0.138744i
$523$	−7.21056	+	1.93207i	−0.315296	+	0.0844833i	−0.412997	−	0.910733i	$-0.635518\pi$
$523$	−7.21056	+	1.93207i	−0.315296	+	0.0844833i	0.0977007	+	0.995216i	$0.468851\pi$
$524$	−6.50417	−	11.2655i	−0.284136	−	0.492138i
$525$	−1.18275	−	6.37640i	−0.0516193	−	0.278289i
$526$	−12.4555	−	3.33744i	−0.543085	−	0.145519i
$527$	−30.6713	−	53.1242i	−1.33606	−	2.31413i
$528$		−	2.36388i		−	0.102875i
$529$	−2.49206	+	1.43879i	−0.108350	+	0.0625560i
$530$	−1.09019	+	27.7983i	−0.0473549	+	1.20748i
$531$	5.81956	−	1.55935i	0.252547	−	0.0676698i
$532$	4.32783	+	4.32783i	0.187635	+	0.187635i
$533$	28.9908	+	9.52872i	1.25573	+	0.412735i
$534$			4.48635i			0.194143i
$535$	−1.17724	+	30.0178i	−0.0508963	+	1.29778i
$536$	0.331346	−	0.573907i	0.0143120	−	0.0247890i
$537$	0.743239	−	2.77380i	0.0320731	−	0.119698i
$538$	−0.213349			−0.00919813
$539$	3.25347	−	12.1421i	0.140137	−	0.522997i
$540$	1.89119	+	1.19306i	0.0813839	+	0.0513412i
$541$	8.66329	+	8.66329i	0.372464	+	0.372464i	0.868374	−	0.495910i	$-0.165165\pi$
$541$	8.66329	+	8.66329i	0.372464	+	0.372464i	−0.495910	+	0.868374i	$0.665165\pi$
$542$	−1.83744	−	0.492340i	−0.0789247	−	0.0211478i
$543$	3.95528	+	14.7613i	0.169737	+	0.633468i
$544$	−1.79723	−	6.70736i	−0.0770557	−	0.287576i
$545$	3.24975	+	6.17568i	0.139204	+	0.264537i
$546$	−4.44270	−	1.46023i	−0.190130	−	0.0624921i
$547$	−3.33496	+	3.33496i	−0.142592	+	0.142592i	−0.774800	−	0.632207i	$-0.782149\pi$
$547$	−3.33496	+	3.33496i	−0.142592	+	0.142592i	0.632207	+	0.774800i	$0.282149\pi$
$548$	−1.36061	+	2.35665i	−0.0581226	+	0.100671i
$549$	3.64147	+	2.10240i	0.155414	+	0.0897284i
$550$	−7.67739	−	8.98645i	−0.327365	−	0.383183i
$551$	21.1543	−	21.1543i	0.901204	−	0.901204i
$552$	4.40547	−	2.54350i	0.187509	−	0.108259i
$553$	−14.9265	+	8.61780i	−0.634738	+	0.366466i
$554$	17.0063	−	17.0063i	0.722528	−	0.722528i
$555$	3.86115	−	6.12052i	0.163896	−	0.259802i
$556$	1.84444	+	1.06489i	0.0782216	+	0.0451613i
$557$	−13.1129	+	22.7122i	−0.555612	+	0.962348i	0.442244	+	0.896895i	$0.354183\pi$
$557$	−13.1129	+	22.7122i	−0.555612	+	0.962348i	−0.997856	+	0.0654529i	$0.979151\pi$
$558$	−6.24653	+	6.24653i	−0.264437	+	0.264437i
$559$	2.16627	−	1.93722i	0.0916233	−	0.0819358i
$560$	2.76986	+	0.859846i	0.117048	+	0.0363351i
$561$	4.24845	+	15.8554i	0.179370	+	0.669416i
$562$	2.46292	+	9.19174i	0.103892	+	0.387730i
$563$	−1.03619	−	0.277646i	−0.0436701	−	0.0117014i	0.236918	−	0.971530i	$-0.423863\pi$
$563$	−1.03619	−	0.277646i	−0.0436701	−	0.0117014i	−0.280588	+	0.959828i	$0.590529\pi$
$564$	8.20915	+	8.20915i	0.345667	+	0.345667i
$565$	12.1181	−	19.2090i	0.509811	−	0.808131i
$566$	−3.36636	+	12.5634i	−0.141499	+	0.528080i
$567$	1.29703			0.0544703
$568$	−3.28208	+	12.2489i	−0.137713	+	0.513951i
$569$	1.22207	−	2.11668i	0.0512316	−	0.0887358i	−0.839272	−	0.543711i	$-0.817019\pi$
$569$	1.22207	−	2.11668i	0.0512316	−	0.0887358i	0.890504	+	0.454975i	$0.150352\pi$
$570$	−7.74778	+	7.16301i	−0.324519	+	0.300026i
$571$		−	20.9592i		−	0.877117i	−0.898703	−	0.438558i	$-0.855489\pi$
$571$		−	20.9592i		−	0.877117i	0.898703	−	0.438558i	$-0.144511\pi$
$572$	−8.34282	+	1.74371i	−0.348831	+	0.0729082i
$573$	4.02486	+	4.02486i	0.168141	+	0.168141i
$574$	−10.6037	+	2.84126i	−0.442591	+	0.118592i
$575$	8.48692	−	23.9773i	0.353929	−	0.999923i
$576$	−0.866025	+	0.500000i	−0.0360844	+	0.0208333i
$577$			27.7348i			1.15462i	0.816527	+	0.577308i	$0.195897\pi$
$577$			27.7348i			1.15462i	−0.816527	+	0.577308i	$0.804103\pi$
$578$	15.6094	+	27.0362i	0.649265	+	1.12456i
$579$	−4.18624	−	1.12170i	−0.173974	−	0.0466162i
$580$	4.20290	−	13.5390i	0.174516	−	0.562176i
$581$	−1.32636	−	2.29732i	−0.0550266	−	0.0953090i
$582$	5.79483	−	1.55272i	0.240204	−	0.0643624i
$583$	25.4697	+	14.7049i	1.05485	+	0.609016i
$584$	−5.04229			−0.208651
$585$	2.81563	−	7.55462i	0.116412	−	0.312345i
$586$	−7.02915			−0.290371
$587$	−0.408623	−	0.235919i	−0.0168657	−	0.00973741i	0.491543	−	0.870853i	$-0.336433\pi$
$587$	−0.408623	−	0.235919i	−0.0168657	−	0.00973741i	−0.508409	+	0.861116i	$0.669766\pi$
$588$	−5.13651	+	1.37632i	−0.211826	+	0.0567586i
$589$	−20.8429	−	36.1010i	−0.858817	−	1.48751i
$590$	6.27360	+	11.9221i	0.258280	+	0.490824i
$591$	−0.399504	−	0.107047i	−0.0164334	−	0.00440332i
$592$	1.61817	+	2.80275i	0.0665062	+	0.115192i
$593$			30.9039i			1.26907i	0.772893	+	0.634536i	$0.218809\pi$
$593$			30.9039i			1.26907i	−0.772893	+	0.634536i	$0.781191\pi$
$594$	2.04718	−	1.18194i	0.0839969	−	0.0484956i
$595$	−20.1238	−	0.789214i	−0.824996	−	0.0323546i
$596$	−4.41052	+	1.18180i	−0.180662	+	0.0484082i
$597$	12.0325	+	12.0325i	0.492456	+	0.492456i
$598$	−12.2264	−	13.6720i	−0.499976	−	0.559089i
$599$			18.6640i			0.762592i	0.924453	+	0.381296i	$0.124522\pi$
$599$			18.6640i			0.762592i	−0.924453	+	0.381296i	$0.875478\pi$
$600$	−1.66835	+	4.71345i	−0.0681103	+	0.192426i
$601$	6.45779	−	11.1852i	0.263419	−	0.456255i	−0.703729	−	0.710468i	$-0.748483\pi$
$601$	6.45779	−	11.1852i	0.263419	−	0.456255i	0.967148	+	0.254213i	$0.0818166\pi$
$602$	−0.270576	+	1.00980i	−0.0110279	+	0.0411565i
$603$	0.662691			0.0269869
$604$	4.87341	−	18.1878i	0.198296	−	0.740051i
$605$	11.8031	−	2.67167i	0.479866	−	0.108619i
$606$	9.98401	+	9.98401i	0.405573	+	0.405573i
$607$	−3.69210	−	0.989296i	−0.149858	−	0.0401543i	0.183110	−	0.983092i	$-0.441383\pi$
$607$	−3.69210	−	0.989296i	−0.149858	−	0.0401543i	−0.332968	+	0.942938i	$0.608050\pi$
$608$	−1.22132	−	4.55804i	−0.0495312	−	0.184853i
$609$	−2.12827	−	7.94280i	−0.0862418	−	0.321859i
$610$	−2.78751	+	8.97952i	−0.112863	+	0.363570i
$611$	22.9170	−	35.0279i	0.927123	−	1.41708i
$612$	4.91013	−	4.91013i	0.198480	−	0.198480i
$613$	−12.1389	+	21.0252i	−0.490285	+	0.849199i	−0.999937	−	0.0111815i	$-0.996441\pi$
$613$	−12.1389	+	21.0252i	−0.490285	+	0.849199i	0.509652	+	0.860381i	$0.329774\pi$
$614$	11.7367	+	6.77616i	0.473653	+	0.273464i
$615$	−4.17816	−	18.4586i	−0.168480	−	0.744323i
$616$	2.16801	−	2.16801i	0.0873517	−	0.0873517i
$617$	16.1362	−	9.31625i	0.649620	−	0.375058i	−0.138691	−	0.990336i	$-0.544289\pi$
$617$	16.1362	−	9.31625i	0.649620	−	0.375058i	0.788311	+	0.615278i	$0.210956\pi$
$618$	−0.273477	+	0.157892i	−0.0110009	+	0.00635135i
$619$	−16.3696	+	16.3696i	−0.657949	+	0.657949i	−0.954894	−	0.296946i	$-0.904032\pi$
$619$	−16.3696	+	16.3696i	−0.657949	+	0.657949i	0.296946	+	0.954894i	$0.404032\pi$
$620$	−16.7066	−	10.5394i	−0.670955	−	0.423273i
$621$	4.40547	+	2.54350i	0.176786	+	0.102067i
$622$	15.1333	−	26.2116i	0.606789	−	1.05099i
$623$	−4.11461	+	4.11461i	−0.164848	+	0.164848i
$624$	2.40346	+	2.68763i	0.0962156	+	0.107591i
$625$	8.96593	+	23.3369i	0.358637	+	0.933477i
$626$	−6.01958	−	22.4654i	−0.240591	−	0.897897i
$627$	2.88707	+	10.7747i	0.115298	+	0.430299i
$628$	14.4157	+	3.86268i	0.575250	+	0.154138i
$629$	−15.8908	−	15.8908i	−0.633608	−	0.633608i
$630$	0.640282	+	2.82869i	0.0255095	+	0.112698i
$631$	−12.6935	+	47.3728i	−0.505321	+	1.88588i	−0.0431996	+	0.999066i	$0.513755\pi$
$631$	−12.6935	+	47.3728i	−0.505321	+	1.88588i	−0.462121	+	0.886817i	$0.652912\pi$
$632$	13.2885			0.528587
$633$	−2.85666	+	10.6612i	−0.113542	+	0.423745i
$634$	7.46982	−	12.9381i	0.296664	−	0.513838i
$635$	−29.9392	−	1.17415i	−1.18810	−	0.0465949i
$636$		−	12.4413i		−	0.493331i
$637$	8.64637	+	17.1130i	0.342582	+	0.678041i
$638$	−10.5972	−	10.5972i	−0.419546	−	0.419546i
$639$	−12.2489	+	3.28208i	−0.484558	+	0.129837i
$640$	−1.51796	−	1.64189i	−0.0600028	−	0.0649012i
$641$	30.5023	−	17.6105i	1.20477	−	0.695572i	0.243155	−	0.969987i	$-0.421817\pi$
$641$	30.5023	−	17.6105i	1.20477	−	0.695572i	0.961611	+	0.274415i	$0.0884842\pi$
$642$		−	13.4347i		−	0.530225i
$643$	8.61155	+	14.9156i	0.339606	+	0.588215i	0.984359	−	0.176176i	$-0.0563728\pi$
$643$	8.61155	+	14.9156i	0.339606	+	0.588215i	−0.644752	+	0.764392i	$0.723039\pi$
$644$	6.37319	+	1.70769i	0.251139	+	0.0672924i
$645$	−1.72127	−	0.534333i	−0.0677750	−	0.0210393i
$646$	16.3837	+	28.3774i	0.644609	+	1.11650i
$647$	17.2315	−	4.61717i	0.677441	−	0.181520i	0.0963367	−	0.995349i	$-0.469287\pi$
$647$	17.2315	−	4.61717i	0.677441	−	0.181520i	0.581104	+	0.813829i	$0.302621\pi$
$648$	−0.866025	−	0.500000i	−0.0340207	−	0.0196419i
$649$	14.2420			0.559049
$650$	17.8658	+	2.41125i	0.700753	+	0.0945769i
$651$	−11.4579			−0.449070
$652$	−1.52221	−	0.878849i	−0.0596144	−	0.0344184i
$653$	15.0392	−	4.02975i	0.588531	−	0.157696i	0.0477492	−	0.998859i	$-0.484795\pi$
$653$	15.0392	−	4.02975i	0.588531	−	0.157696i	0.540782	+	0.841163i	$0.318129\pi$
$654$	−1.56045	−	2.70278i	−0.0610183	−	0.105687i
$655$	27.7798	+	8.62366i	1.08545	+	0.336954i
$656$	8.17538	+	2.19059i	0.319195	+	0.0855280i
$657$	−2.52114	−	4.36675i	−0.0983591	−	0.170363i
$658$			15.0579i			0.587018i
$659$	−15.1800	+	8.76418i	−0.591329	+	0.341404i	−0.765623	−	0.643290i	$-0.777569\pi$
$659$	−15.1800	+	8.76418i	−0.591329	+	0.341404i	0.174294	+	0.984694i	$0.444236\pi$
$660$	3.58829	+	3.88122i	0.139674	+	0.151076i
$661$	−37.7494	+	10.1149i	−1.46828	+	0.393425i	−0.902341	−	0.431022i	$-0.858153\pi$
$661$	−37.7494	+	10.1149i	−1.46828	+	0.393425i	−0.565940	+	0.824447i	$0.691486\pi$
$662$	−8.08599	−	8.08599i	−0.314271	−	0.314271i
$663$	−20.9512	−	13.7073i	−0.813678	−	0.532349i
$664$			2.04522i			0.0793699i
$665$	−13.6753	−	0.536317i	−0.530305	−	0.0207975i
$666$	−1.61817	+	2.80275i	−0.0627027	+	0.108604i
$667$	8.34713	−	31.1519i	0.323202	−	1.20621i
$668$	13.7480			0.531926
$669$	−3.10252	+	11.5788i	−0.119950	+	0.447661i
$670$	0.327139	+	1.44526i	0.0126385	+	0.0558353i
$671$	7.02841	+	7.02841i	0.271329	+	0.271329i
$672$	−1.25284	−	0.335697i	−0.0483293	−	0.0129498i
$673$	−13.2880	−	49.5916i	−0.512216	−	1.91162i	−0.395546	−	0.918446i	$-0.629445\pi$
$673$	−13.2880	−	49.5916i	−0.512216	−	1.91162i	−0.116670	−	0.993171i	$-0.537222\pi$
$674$	−7.44066	−	27.7689i	−0.286604	−	1.06962i
$675$	−4.91614	+	0.911886i	−0.189222	+	0.0350985i
$676$	7.71252	−	10.4650i	0.296635	−	0.402502i
$677$	8.54818	−	8.54818i	0.328533	−	0.328533i	−0.523495	−	0.852029i	$-0.675372\pi$
$677$	8.54818	−	8.54818i	0.328533	−	0.328533i	0.852029	+	0.523495i	$0.175372\pi$
$678$	−5.07856	+	8.79632i	−0.195041	+	0.337821i
$679$	6.73874	+	3.89061i	0.258609	+	0.149308i
$680$	13.1324	+	8.28459i	0.503604	+	0.317700i
$681$	7.41292	−	7.41292i	0.284064	−	0.284064i
$682$	−18.0847	+	10.4412i	−0.692497	+	0.399813i
$683$	10.7933	−	6.23153i	0.412995	−	0.238443i	−0.279081	−	0.960268i	$-0.590030\pi$
$683$	10.7933	−	6.23153i	0.412995	−	0.238443i	0.692076	+	0.721825i	$0.256696\pi$
$684$	3.33672	−	3.33672i	0.127583	−	0.127583i
$685$	−1.34334	−	5.93472i	−0.0513263	−	0.226754i
$686$	−13.8360	−	7.98823i	−0.528262	−	0.304992i
$687$	6.15514	−	10.6610i	0.234833	−	0.406743i
$688$	0.569937	−	0.569937i	0.0217287	−	0.0217287i
$689$	−43.9091	+	9.17731i	−1.67280	+	0.349628i
$690$	−3.37234	+	10.8635i	−0.128383	+	0.413566i
$691$	8.78573	+	32.7888i	0.334225	+	1.24734i	0.904707	+	0.426034i	$0.140090\pi$
$691$	8.78573	+	32.7888i	0.334225	+	1.24734i	−0.570482	+	0.821310i	$0.693244\pi$
$692$	2.30110	+	8.58782i	0.0874746	+	0.326460i
$693$	2.96156	+	0.793548i	0.112500	+	0.0301444i
$694$	−9.84122	−	9.84122i	−0.373568	−	0.373568i
$695$	−4.64482	+	1.05137i	−0.176188	+	0.0398806i
$696$	−1.64087	+	6.12383i	−0.0621972	+	0.232123i
$697$	−58.7722			−2.22616
$698$	7.74172	−	28.8925i	0.293028	−	1.09360i
$699$	12.7767	−	22.1299i	0.483260	−	0.837031i
$700$	−5.85301	+	2.79278i	−0.221223	+	0.105557i
$701$		−	39.3497i		−	1.48622i	−0.669170	−	0.743109i	$-0.733350\pi$
$701$		−	39.3497i		−	1.48622i	0.669170	−	0.743109i	$-0.266650\pi$
$702$	−1.12582	+	3.42528i	−0.0424915	+	0.129279i
$703$	−10.7987	−	10.7987i	−0.407282	−	0.407282i
$704$	−2.28334	+	0.611818i	−0.0860564	+	0.0230588i
$705$	−25.9397	−	1.01730i	−0.976944	−	0.0383137i
$706$	−23.2525	+	13.4248i	−0.875119	+	0.505250i
$707$			18.3135i			0.688750i
$708$	−3.01242	−	5.21767i	−0.113214	−	0.196092i
$709$	14.0918	+	3.77590i	0.529230	+	0.141807i	0.513533	−	0.858070i	$-0.328336\pi$
$709$	14.0918	+	3.77590i	0.529230	+	0.141807i	0.0156976	+	0.999877i	$0.495003\pi$
$710$	−13.2045	−	25.0933i	−0.495558	−	0.941736i
$711$	6.64424	+	11.5082i	0.249179	+	0.431590i
$712$	4.33348	−	1.16115i	0.162404	−	0.0435160i
$713$	−38.9176	−	22.4691i	−1.45748	−	0.841474i
$714$	9.00656			0.337062
$715$	11.0511	−	15.5271i	0.413287	−	0.580679i
$716$	−2.87165			−0.107319
$717$	−11.8640	−	6.84968i	−0.443069	−	0.255806i
$718$	7.94124	−	2.12785i	0.296364	−	0.0794106i
$719$	18.0641	+	31.2880i	0.673678	+	1.16684i	0.976853	+	0.213909i	$0.0686198\pi$
$719$	18.0641	+	31.2880i	0.673678	+	1.16684i	−0.303176	+	0.952935i	$0.598047\pi$
$720$	0.662933	−	2.13554i	0.0247061	−	0.0795868i
$721$	−0.395626	−	0.106008i	−0.0147339	−	0.00394793i
$722$	1.63369	+	2.82964i	0.0607997	+	0.105308i
$723$		−	11.6162i		−	0.432011i
$724$	13.2346	−	7.64101i	0.491860	−	0.283976i
$725$	13.6510	+	28.6093i	0.506986	+	1.06252i
$726$	−5.22765	+	1.40074i	−0.194016	+	0.0519865i
$727$	−12.0708	−	12.0708i	−0.447682	−	0.447682i	0.446901	−	0.894583i	$-0.352528\pi$
$727$	−12.0708	−	12.0708i	−0.447682	−	0.447682i	−0.894583	+	0.446901i	$0.852528\pi$
$728$	−0.260620	+	4.66925i	−0.00965921	+	0.173054i
$729$		−	1.00000i		−	0.0370370i
$730$	8.27886	−	7.65400i	0.306414	−	0.283287i
$731$	−2.79847	+	4.84709i	−0.103505	+	0.179276i
$732$	1.08828	−	4.06153i	0.0402241	−	0.150119i
$733$	7.35261			0.271575			0.135787	−	0.990738i	$-0.456644\pi$
$733$	7.35261			0.271575			0.135787	+	0.990738i	$0.456644\pi$
$734$	7.61596	−	28.4231i	0.281110	−	1.04912i
$735$	6.34435	−	10.0568i	0.234015	−	0.370951i
$736$	−3.59705	−	3.59705i	−0.132589	−	0.132589i
$737$	1.51315	+	0.405446i	0.0557375	+	0.0149348i
$738$	2.19059	+	8.17538i	0.0806366	+	0.300940i
$739$	6.26046	+	23.3644i	0.230295	+	0.859472i	0.980214	+	0.197942i	$0.0634258\pi$
$739$	6.26046	+	23.3644i	0.230295	+	0.859472i	−0.749919	+	0.661530i	$0.769907\pi$
$740$	−6.91131	−	2.14547i	−0.254065	−	0.0788691i
$741$	−14.2376	−	9.31492i	−0.523030	−	0.342192i
$742$	11.4105	−	11.4105i	0.418891	−	0.418891i
$743$	−20.1924	+	34.9742i	−0.740786	+	1.28308i	0.211351	+	0.977410i	$0.432214\pi$
$743$	−20.1924	+	34.9742i	−0.740786	+	1.28308i	−0.952138	+	0.305669i	$0.901120\pi$
$744$	7.65040	+	4.41696i	0.280477	+	0.161934i
$745$	5.44765	−	8.63538i	0.199586	−	0.316376i
$746$	−7.46697	+	7.46697i	−0.273385	+	0.273385i
$747$	−1.77121	+	1.02261i	−0.0648053	+	0.0374154i
$748$	14.2156	−	8.20737i	0.519773	−	0.300091i
$749$	12.3215	−	12.3215i	0.450218	−	0.450218i
$750$	−4.41559	−	10.2714i	−0.161235	−	0.375060i
$751$	26.0554	+	15.0431i	0.950775	+	0.548930i	0.893322	−	0.449418i	$-0.148369\pi$
$751$	26.0554	+	15.0431i	0.950775	+	0.548930i	0.0574532	+	0.998348i	$0.481702\pi$
$752$	5.80474	−	10.0541i	0.211677	−	0.366636i
$753$	11.9024	−	11.9024i	0.433748	−	0.433748i
$754$	22.8231	+	1.27390i	0.831170	+	0.0463927i
$755$	19.6068	+	37.2599i	0.713565	+	1.35603i
$756$	−0.335697	−	1.25284i	−0.0122092	−	0.0455653i
$757$	7.43615	+	27.7521i	0.270272	+	1.00867i	0.958944	+	0.283595i	$0.0915271\pi$
$757$	7.43615	+	27.7521i	0.270272	+	1.00867i	−0.688673	+	0.725072i	$0.741806\pi$
$758$	6.58577	+	1.76465i	0.239206	+	0.0640950i
$759$	8.50301	+	8.50301i	0.308640	+	0.308640i
$760$	8.92421	+	5.62986i	0.323715	+	0.204216i
$761$	5.23591	−	19.5407i	0.189802	−	0.708350i	−0.803750	−	0.594968i	$-0.797165\pi$
$761$	5.23591	−	19.5407i	0.189802	−	0.708350i	0.993551	−	0.113382i	$-0.0361685\pi$
$762$	13.3995			0.485414
$763$	1.04767	−	3.90998i	0.0379284	−	0.141551i
$764$	2.84601	−	4.92943i	0.102965	−	0.178341i
$765$	−0.608476	+	15.5153i	−0.0219995	+	0.560956i
$766$		−	19.8357i		−	0.716692i
$767$	−16.1926	+	14.4805i	−0.584680	+	0.522861i
$768$	0.707107	+	0.707107i	0.0255155	+	0.0255155i
$769$	−1.45984	+	0.391163i	−0.0526431	+	0.0141057i	−0.285045	−	0.958514i	$-0.592008\pi$
$769$	−1.45984	+	0.391163i	−0.0526431	+	0.0141057i	0.232401	+	0.972620i	$0.425342\pi$
$770$	−0.268666	+	6.85059i	−0.00968205	+	0.246878i
$771$	−5.38271	+	3.10771i	−0.193854	+	0.111921i
$772$			4.33391i			0.155981i
$773$	−19.3363	−	33.4914i	−0.695478	−	1.20460i	−0.970019	−	0.243028i	$-0.921859\pi$
$773$	−19.3363	−	33.4914i	−0.695478	−	1.20460i	0.274541	−	0.961575i	$-0.411474\pi$
$774$	0.778549	+	0.208612i	0.0279844	+	0.00749839i
$775$	43.4288	−	8.05553i	1.56001	−	0.289363i
$776$	−2.99963	−	5.19551i	−0.107680	−	0.186508i
$777$	−4.05460	+	1.08643i	−0.145458	+	0.0389753i
$778$	23.0286	+	13.2956i	0.825617	+	0.476670i
$779$	−39.9391			−1.43097
$780$	−8.02594	−	0.764411i	−0.287375	−	0.0273703i
$781$	−29.9763			−1.07264
$782$	30.5915	+	17.6620i	1.09395	+	0.631592i
$783$	−6.12383	+	1.64087i	−0.218848	+	0.0586401i
$784$	2.65885	+	4.60527i	0.0949590	+	0.164474i
$785$	−29.5324	+	15.5404i	−1.05406	+	0.554662i
$786$	−12.5651	−	3.36680i	−0.448182	−	0.120090i
$787$	−16.9665	−	29.3868i	−0.604790	−	1.04753i	−0.992085	−	0.125571i	$-0.959924\pi$
$787$	−16.9665	−	29.3868i	−0.604790	−	1.04753i	0.387295	−	0.921956i	$-0.373410\pi$
$788$			0.413597i			0.0147338i
$789$	−11.1673	+	6.44744i	−0.397566	+	0.229535i
$790$	−21.8182	+	20.1714i	−0.776256	+	0.717667i
$791$	−12.7252	+	3.40971i	−0.452457	+	0.121235i
$792$	−1.67152	−	1.67152i	−0.0593948	−	0.0593948i
$793$	−15.1371	−	0.844895i	−0.537534	−	0.0300031i
$794$			9.97014i			0.353827i
$795$	18.8855	+	20.4273i	0.669800	+	0.724480i
$796$	8.50824	−	14.7367i	0.301567	−	0.522329i
$797$	−3.60129	+	13.4402i	−0.127564	+	0.476076i	−0.999918	−	0.0127987i	$-0.995926\pi$
$797$	−3.60129	+	13.4402i	−0.127564	+	0.476076i	0.872354	+	0.488875i	$0.162593\pi$
$798$	6.12048			0.216663
$799$	−20.8650	+	77.8691i	−0.738149	+	2.75481i
$800$	4.98464	+	0.391577i	0.176234	+	0.0138443i
$801$	3.17233	+	3.17233i	0.112089	+	0.112089i
$802$	−17.9265	−	4.80339i	−0.633006	−	0.169614i
$803$	−3.08496	−	11.5132i	−0.108866	−	0.406293i
$804$	−0.171517	−	0.640111i	−0.00604894	−	0.0225750i
$805$	−13.0563	+	6.87043i	−0.460172	+	0.242151i
$806$	9.94544	−	30.2586i	0.350313	−	1.06581i
$807$	−0.150861	+	0.150861i	−0.00531055	+	0.00531055i
$808$	7.05976	−	12.2279i	0.248362	−	0.430175i
$809$	22.1451	+	12.7855i	0.778581	+	0.449514i	0.835927	−	0.548841i	$-0.184931\pi$
$809$	22.1451	+	12.7855i	0.778581	+	0.449514i	−0.0573465	+	0.998354i	$0.518264\pi$
$810$	2.18090	−	0.493652i	0.0766289	−	0.0173452i
$811$	3.84049	−	3.84049i	0.134858	−	0.134858i	−0.636455	−	0.771313i	$-0.719600\pi$
$811$	3.84049	−	3.84049i	0.134858	−	0.134858i	0.771313	+	0.636455i	$0.219600\pi$
$812$	−7.12132	+	4.11150i	−0.249909	+	0.144285i
$813$	−1.64740	+	0.951128i	−0.0577769	+	0.0333575i
$814$	−5.40959	+	5.40959i	−0.189606	+	0.189606i
$815$	3.83336	−	0.867691i	0.134277	−	0.0303939i
$816$	−6.01366	−	3.47199i	−0.210520	−	0.121544i
$817$	−1.90172	+	3.29388i	−0.0665328	+	0.115238i
$818$	−6.93387	+	6.93387i	−0.242437	+	0.242437i
$819$	−4.17400	+	2.10892i	−0.145851	+	0.0736917i
$820$	−16.7483	+	8.81323i	−0.584875	+	0.307771i
$821$	−12.9245	−	48.2351i	−0.451070	−	1.68342i	−0.699392	−	0.714738i	$-0.746546\pi$
$821$	−12.9245	−	48.2351i	−0.451070	−	1.68342i	0.248322	−	0.968677i	$-0.420121\pi$
$822$	0.704306	+	2.62850i	0.0245655	+	0.0916796i
$823$	17.0463	+	4.56756i	0.594198	+	0.159215i	0.543371	−	0.839492i	$-0.317148\pi$
$823$	17.0463	+	4.56756i	0.594198	+	0.159215i	0.0508271	+	0.998707i	$0.483814\pi$
$824$	0.223293	+	0.223293i	0.00777878	+	0.00777878i
$825$	−11.7831	−	0.925642i	−0.410235	−	0.0322267i
$826$	2.02252	−	7.54816i	0.0703726	−	0.262634i
$827$	7.73011			0.268802			0.134401	−	0.990927i	$-0.457089\pi$
$827$	7.73011			0.268802			0.134401	+	0.990927i	$0.457089\pi$
$828$	1.31661	−	4.91367i	0.0457555	−	0.170762i
$829$	−8.72754	+	15.1165i	−0.303120	+	0.525019i	−0.976841	−	0.213966i	$-0.931362\pi$
$829$	−8.72754	+	15.1165i	−0.303120	+	0.525019i	0.673721	+	0.738986i	$0.264695\pi$
$830$	−3.10457	−	3.35802i	−0.107761	−	0.116559i
$831$		−	24.0505i		−	0.834303i
$832$	1.97399	−	3.01718i	0.0684358	−	0.104602i
$833$	−26.1106	−	26.1106i	−0.904680	−	0.904680i
$834$	2.05720	−	0.551226i	0.0712351	−	0.0190874i
$835$	−22.5727	+	20.8690i	−0.781159	+	0.722200i
$836$	9.66031	−	5.57738i	0.334109	−	0.192898i
$837$			8.83392i			0.305345i
$838$	3.46276	+	5.99767i	0.119619	+	0.207186i
$839$	24.2794	+	6.50564i	0.838217	+	0.224599i	0.652295	−	0.757965i	$-0.273806\pi$
$839$	24.2794	+	6.50564i	0.838217	+	0.224599i	0.185922	+	0.982565i	$0.440473\pi$
$840$	2.56659	−	1.35059i	0.0885558	−	0.0465996i
$841$	5.59686	+	9.69405i	0.192995	+	0.334277i
$842$	26.6562	−	7.14252i	0.918635	−	0.246147i
$843$	8.24109	+	4.75799i	0.283838	+	0.163874i
$844$	11.0373			0.379919
$845$	3.22248	+	28.8897i	0.110857	+	0.993836i
$846$	11.6095			0.399142
$847$	−6.07917	−	3.50981i	−0.208883	−	0.120598i
$848$	−12.0174	+	3.22006i	−0.412680	+	0.110577i
$849$	6.50331	+	11.2641i	0.223193	+	0.386582i
$850$	−34.1376	+	6.33212i	−1.17091	+	0.217190i
$851$	−15.9023	−	4.26100i	−0.545122	−	0.146065i
$852$	6.34049	+	10.9820i	0.217221	+	0.376239i
$853$			56.0723i			1.91988i	0.280208	+	0.959939i	$0.409597\pi$
$853$			56.0723i			1.91988i	−0.280208	+	0.959939i	$0.590403\pi$
$854$	4.72311	−	2.72689i	0.161621	−	0.0933122i
$855$	−0.413495	+	10.5435i	−0.0141412	+	0.360581i
$856$	−12.9769	+	3.47715i	−0.443542	+	0.118847i
$857$	−5.26394	−	5.26394i	−0.179813	−	0.179813i	0.611461	−	0.791274i	$-0.290582\pi$
$857$	−5.26394	−	5.26394i	−0.179813	−	0.179813i	−0.791274	+	0.611461i	$0.790582\pi$
$858$	−4.66628	+	7.13226i	−0.159304	+	0.243491i
$859$		−	34.7014i		−	1.18400i	−0.805939	−	0.591998i	$-0.798339\pi$
$859$		−	34.7014i		−	1.18400i	0.805939	−	0.591998i	$-0.201661\pi$
$860$	−0.0706281	+	1.80092i	−0.00240840	+	0.0614107i
$861$	−5.48890	+	9.50705i	−0.187061	+	0.323999i
$862$	0.563587	−	2.10333i	0.0191958	−	0.0716398i
$863$	−24.1858			−0.823294			−0.411647	−	0.911343i	$-0.635046\pi$
$863$	−24.1858			−0.823294			−0.411647	+	0.911343i	$0.635046\pi$
$864$	−0.258819	+	0.965926i	−0.00880520	+	0.0328615i
$865$	−16.8141	−	10.6072i	−0.571698	−	0.360657i
$866$	25.5505	+	25.5505i	0.868242	+	0.868242i
$867$	30.1550	+	8.08001i	1.02412	+	0.274412i
$868$	2.96552	+	11.0675i	0.100656	+	0.375654i
$869$	8.13013	+	30.3421i	0.275796	+	1.02928i
$870$	−6.60161	−	12.5454i	−0.223816	−	0.425329i
$871$	−2.13262	+	1.07751i	−0.0722609	+	0.0365100i
$872$	−2.20681	+	2.20681i	−0.0747319	+	0.0747319i
$873$	2.99963	−	5.19551i	0.101522	−	0.175841i
$874$	20.7887	+	12.0024i	0.703188	+	0.405986i
$875$	5.37064	−	13.4701i	0.181561	−	0.455372i
$876$	−3.56543	+	3.56543i	−0.120465	+	0.120465i
$877$	−27.2208	+	15.7159i	−0.919182	+	0.530690i	−0.883374	−	0.468669i	$-0.844734\pi$
$877$	−27.2208	+	15.7159i	−0.919182	+	0.530690i	−0.0358078	+	0.999359i	$0.511400\pi$
$878$	14.2300	−	8.21571i	0.480240	−	0.277267i
$879$	−4.97036	+	4.97036i	−0.167646	+	0.167646i
$880$	2.82026	−	4.47055i	0.0950709	−	0.150702i
$881$	−3.05134	−	1.76169i	−0.102802	−	0.0593530i	0.447717	−	0.894175i	$-0.352237\pi$
$881$	−3.05134	−	1.76169i	−0.102802	−	0.0593530i	−0.550520	+	0.834822i	$0.685570\pi$
$882$	−2.65885	+	4.60527i	−0.0895282	+	0.155067i
$883$	−4.24181	+	4.24181i	−0.142748	+	0.142748i	−0.774870	−	0.632121i	$-0.782184\pi$
$883$	−4.24181	+	4.24181i	−0.142748	+	0.142748i	0.632121	+	0.774870i	$0.282184\pi$
$884$	−7.81769	+	23.7850i	−0.262937	+	0.799977i
$885$	12.8663	+	3.99407i	0.432496	+	0.134259i
$886$	10.0270	+	37.4212i	0.336863	+	1.25719i
$887$	−1.71855	−	6.41370i	−0.0577031	−	0.215351i	0.931054	−	0.364881i	$-0.118890\pi$
$887$	−1.71855	−	6.41370i	−0.0577031	−	0.215351i	−0.988757	+	0.149530i	$0.952224\pi$
$888$	3.12606	+	0.837624i	0.104904	+	0.0281088i
$889$	12.2893	+	12.2893i	0.412168	+	0.412168i
$890$	−5.35249	+	8.48454i	−0.179416	+	0.284402i
$891$	0.611818	−	2.28334i	0.0204967	−	0.0764946i
$892$	11.9872			0.401362
$893$	−14.1789	+	52.9165i	−0.474480	+	1.77078i
$894$	−2.28305	+	3.95436i	−0.0763567	+	0.132254i
$895$	4.71493	−	4.35906i	0.157603	−	0.145707i
$896$			1.29703i			0.0433308i
$897$	−18.3129	−	1.02216i	−0.611451	−	0.0341289i
$898$	−28.5529	−	28.5529i	−0.952824	−	0.952824i
$899$	54.0974	−	14.4954i	1.80425	−	0.483447i
$900$	2.15321	+	4.51262i	0.0717735	+	0.150421i
$901$	74.8180	−	43.1962i	2.49255	−	1.43907i
$902$			20.0074i			0.666173i
$903$	0.522713	+	0.905365i	0.0173948	+	0.0301287i
$904$	9.81102	+	2.62886i	0.326310	+	0.0874344i
$905$	−10.1310	+	32.6353i	−0.336764	+	1.08483i
$906$	−9.41470	−	16.3067i	−0.312782	−	0.541755i
$907$	46.5727	−	12.4791i	1.54642	−	0.414362i	0.618088	−	0.786109i	$-0.287908\pi$
$907$	46.5727	−	12.4791i	1.54642	−	0.414362i	0.928334	+	0.371747i	$0.121241\pi$
$908$	−9.07894	−	5.24173i	−0.301295	−	0.173953i
$909$	14.1195			0.468315
$910$	−6.65984	−	8.06199i	−0.220772	−	0.267252i
$911$	−26.5844			−0.880781			−0.440390	−	0.897806i	$-0.645160\pi$
$911$	−26.5844			−0.880781			−0.440390	+	0.897806i	$0.645160\pi$
$912$	−4.08663	−	2.35942i	−0.135322	−	0.0781281i
$913$	−4.66992	+	1.25130i	−0.154552	+	0.0414121i
$914$	−3.53353	−	6.12025i	−0.116879	−	0.202440i
$915$	4.37842	+	8.32055i	0.144746	+	0.275069i
$916$	−11.8908	−	3.18614i	−0.392884	−	0.105273i
$917$	−8.43612	−	14.6118i	−0.278585	−	0.482524i
$918$		−	6.94397i		−	0.229185i
$919$	23.3323	−	13.4709i	0.769662	−	0.444364i	−0.0630921	−	0.998008i	$-0.520096\pi$
$919$	23.3323	−	13.4709i	0.769662	−	0.444364i	0.832754	+	0.553643i	$0.186763\pi$
$920$	11.3661	+	0.445756i	0.374731	+	0.0146962i
$921$	13.0905	−	3.50760i	0.431348	−	0.115579i
$922$	11.1164	+	11.1164i	0.366099	+	0.366099i
$923$	34.0818	−	30.4783i	1.12181	−	1.00320i
$924$		−	3.06603i		−	0.100865i
$925$	14.6043	−	6.96849i	0.480187	−	0.229123i
$926$	−6.64433	+	11.5083i	−0.218346	+	0.378187i
$927$	−0.0817310	+	0.305024i	−0.00268440	+	0.0100183i
$928$	6.33985			0.208116
$929$	−5.88216	+	21.9525i	−0.192987	+	0.720239i	0.799791	+	0.600278i	$0.204943\pi$
$929$	−5.88216	+	21.9525i	−0.192987	+	0.720239i	−0.992779	+	0.119960i	$0.961723\pi$
$930$	−19.2659	+	4.36088i	−0.631753	+	0.142999i
$931$	−17.7437	−	17.7437i	−0.581526	−	0.581526i
$932$	−24.6827	−	6.61372i	−0.808510	−	0.216640i
$933$	−7.83356	−	29.2352i	−0.256459	−	0.957119i
$934$	−4.21754	−	15.7401i	−0.138002	−	0.515031i
$935$	−10.8819	+	35.0543i	−0.355875	+	1.14640i
$936$	3.59995	+	0.200935i	0.117668	+	0.00656778i
$937$	8.06909	−	8.06909i	0.263606	−	0.263606i	−0.562911	−	0.826517i	$-0.690319\pi$
$937$	8.06909	−	8.06909i	0.263606	−	0.263606i	0.826517	+	0.562911i	$0.190319\pi$
$938$	0.429766	−	0.744377i	0.0140324	−	0.0243048i
$939$	−20.1419	−	11.6289i	−0.657306	−	0.379496i
$940$	5.73104	+	25.3191i	0.186926	+	0.825818i
$941$	−16.4810	+	16.4810i	−0.537265	+	0.537265i	−0.922725	−	0.385460i	$-0.874043\pi$
$941$	−16.4810	+	16.4810i	−0.537265	+	0.537265i	0.385460	+	0.922725i	$0.374043\pi$
$942$	12.9248	−	7.46212i	0.421112	−	0.243129i
$943$	−37.2869	+	21.5276i	−1.21423	+	0.701036i
$944$	−4.26021	+	4.26021i	−0.138658	+	0.138658i
$945$	2.45294	+	1.54744i	0.0797940	+	0.0503382i
$946$	1.65006	+	0.952660i	0.0536479	+	0.0309737i
$947$	−11.7074	+	20.2779i	−0.380441	+	0.658943i	−0.991125	−	0.132931i	$-0.957561\pi$
$947$	−11.7074	+	20.2779i	−0.380441	+	0.658943i	0.610684	+	0.791874i	$0.290894\pi$
$948$	9.39638	−	9.39638i	0.305180	−	0.305180i
$949$	15.2135	+	9.95342i	0.493850	+	0.323102i
$950$	−23.1985	+	4.30304i	−0.752657	+	0.139609i
$951$	−3.86666	−	14.4306i	−0.125385	−	0.467944i
$952$	−2.33107	−	8.69967i	−0.0755504	−	0.281958i
$953$	−41.0626	−	11.0027i	−1.33015	−	0.356412i	−0.477377	−	0.878698i	$-0.658412\pi$
$953$	−41.0626	−	11.0027i	−1.33015	−	0.356412i	−0.852770	+	0.522287i	$0.825079\pi$
$954$	−8.79736	−	8.79736i	−0.284825	−	0.284825i
$955$	2.80987	+	12.4137i	0.0909254	+	0.401698i
$956$	−3.54566	+	13.2326i	−0.114675	+	0.427972i
$957$	−14.9867			−0.484450
$958$	−8.77511	+	32.7492i	−0.283511	+	1.05808i
$959$	−1.76476	+	3.05666i	−0.0569871	+	0.0987046i
$960$	−2.23435	−	0.0876265i	−0.0721133	−	0.00282813i
$961$		−	47.0382i		−	1.51736i
$962$	0.650294	−	11.6506i	0.0209663	−	0.375631i
$963$	−9.49976	−	9.49976i	−0.306125	−	0.306125i
$964$	−11.2204	+	3.00649i	−0.361384	+	0.0968327i
$965$	−6.57872	−	7.11579i	−0.211776	−	0.229065i
$966$	5.71404	−	3.29900i	0.183846	−	0.106144i
$967$			20.8344i			0.669990i	0.942220	+	0.334995i	$0.108735\pi$
$967$			20.8344i			0.669990i	−0.942220	+	0.334995i	$0.891265\pi$
$968$	2.70603	+	4.68698i	0.0869751	+	0.150645i
$969$	31.6509	+	8.48084i	1.01677	+	0.272444i
$970$	12.8116	+	3.97710i	0.411357	+	0.127697i
$971$	20.8974	+	36.1954i	0.670630	+	1.16157i	0.977726	+	0.209887i	$0.0673096\pi$
$971$	20.8974	+	36.1954i	0.670630	+	1.16157i	−0.307095	+	0.951679i	$0.599357\pi$
$972$	−0.965926	+	0.258819i	−0.0309821	+	0.00830162i
$973$	2.39230	+	1.38119i	0.0766935	+	0.0442790i
$974$	−39.2716			−1.25834
$975$	14.3380	−	10.9280i	0.459184	−	0.349976i
$976$	−4.20481			−0.134593
$977$	4.81248	+	2.77849i	0.153965	+	0.0888917i	0.575003	−	0.818151i	$-0.305001\pi$
$977$	4.81248	+	2.77849i	0.153965	+	0.0888917i	−0.421038	+	0.907043i	$0.638334\pi$
$978$	−1.69781	+	0.454926i	−0.0542898	+	0.0145469i
$979$	5.30260	+	9.18437i	0.169472	+	0.293534i
$980$	−11.3562	−	3.52528i	−0.362759	−	0.112611i
$981$	−3.01455	−	0.807747i	−0.0962473	−	0.0257894i
$982$	−20.1369	−	34.8781i	−0.642594	−	1.11301i
$983$		−	5.70951i		−	0.182105i	−0.995846	−	0.0910526i	$-0.970977\pi$
$983$		−	5.70951i		−	0.182105i	0.995846	−	0.0910526i	$-0.0290231\pi$
$984$	7.32985	−	4.23189i	0.233667	−	0.134908i
$985$	−0.627826	−	0.679080i	−0.0200042	−	0.0216373i
$986$	−42.5237	+	11.3942i	−1.35423	+	0.362865i
$987$	10.6475	+	10.6475i	0.338915	+	0.338915i
$988$	−5.31257	+	16.1633i	−0.169015	+	0.514223i
$989$			4.10019i			0.130378i
$990$	5.28174	+	0.207139i	0.167865	+	0.00658331i
$991$	2.03911	−	3.53185i	0.0647745	−	0.112193i	−0.831819	−	0.555046i	$-0.812701\pi$
$991$	2.03911	−	3.53185i	0.0647745	−	0.112193i	0.896594	+	0.442854i	$0.146034\pi$
$992$	2.28639	−	8.53291i	0.0725929	−	0.270920i
$993$	−11.4353			−0.362889
$994$	−4.25696	+	15.8872i	−0.135023	+	0.503911i
$995$	8.40022	+	37.1112i	0.266305	+	1.17650i
$996$	1.44619	+	1.44619i	0.0458243	+	0.0458243i
$997$	−50.5754	−	13.5516i	−1.60174	−	0.429184i	−0.656171	−	0.754612i	$-0.727825\pi$
$997$	−50.5754	−	13.5516i	−1.60174	−	0.429184i	−0.945567	+	0.325428i	$0.894492\pi$
$998$	5.42650	+	20.2520i	0.171773	+	0.641064i
$999$	0.837624	+	3.12606i	0.0265013	+	0.0989041i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bd.b.253.1	yes	16
5.2	odd	4		390.2.bn.b.97.4	yes	16
13.11	odd	12		390.2.bn.b.193.4	yes	16
65.37	even	12	inner	390.2.bd.b.37.1	✓	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.b.37.1	✓	16	65.37	even	12	inner
390.2.bd.b.253.1	yes	16	1.1	even	1	trivial
390.2.bn.b.97.4	yes	16	5.2	odd	4
390.2.bn.b.193.4	yes	16	13.11	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)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.13554 - 0.662933i) q^{5} +(0.965926 + 0.258819i) q^{6} +(0.648516 + 1.12326i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.866025 - 0.500000i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.13554 - 0.662933i) q^{5} +(0.965926 + 0.258819i) q^{6} +(0.648516 + 1.12326i) q^{7} -1.00000i q^{8} +(0.866025 - 0.500000i) q^{9} +(1.51796 + 1.64189i) q^{10} +(2.28334 - 0.611818i) q^{11} +(-0.707107 - 0.707107i) q^{12} +(-1.97399 + 3.01718i) q^{13} -1.29703i q^{14} +(2.23435 + 0.0876265i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.79723 - 6.70736i) q^{17} -1.00000 q^{18} +(1.22132 - 4.55804i) q^{19} +(-0.493652 - 2.18090i) q^{20} +(-0.917141 - 0.917141i) q^{21} +(-2.28334 - 0.611818i) q^{22} +(-1.31661 - 4.91367i) q^{23} +(0.258819 + 0.965926i) q^{24} +(4.12104 + 2.83144i) q^{25} +(3.21811 - 1.62596i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(-0.648516 + 1.12326i) q^{28} +(5.49047 + 3.16993i) q^{29} +(-1.89119 - 1.19306i) q^{30} +(6.24653 - 6.24653i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-2.04718 + 1.18194i) q^{33} +(-4.91013 + 4.91013i) q^{34} +(-0.640282 - 2.82869i) q^{35} +(0.866025 + 0.500000i) q^{36} +(1.61817 - 2.80275i) q^{37} +(-3.33672 + 3.33672i) q^{38} +(1.12582 - 3.42528i) q^{39} +(-0.662933 + 2.13554i) q^{40} +(-2.19059 - 8.17538i) q^{41} +(0.335697 + 1.25284i) q^{42} +(-0.778549 - 0.208612i) q^{43} +(1.67152 + 1.67152i) q^{44} +(-2.18090 + 0.493652i) q^{45} +(-1.31661 + 4.91367i) q^{46} -11.6095 q^{47} +(0.258819 - 0.965926i) q^{48} +(2.65885 - 4.60527i) q^{49} +(-2.15321 - 4.51262i) q^{50} +6.94397i q^{51} +(-3.59995 - 0.200935i) q^{52} +(8.79736 + 8.79736i) q^{53} +(0.965926 - 0.258819i) q^{54} +(-5.28174 - 0.207139i) q^{55} +(1.12326 - 0.648516i) q^{56} +4.71883i q^{57} +(-3.16993 - 5.49047i) q^{58} +(5.81956 + 1.55935i) q^{59} +(1.04129 + 1.97882i) q^{60} +(2.10240 + 3.64147i) q^{61} +(-8.53291 + 2.28639i) q^{62} +(1.12326 + 0.648516i) q^{63} -1.00000 q^{64} +(6.21572 - 5.13467i) q^{65} +2.36388 q^{66} +(0.573907 + 0.331346i) q^{67} +(6.70736 - 1.79723i) q^{68} +(2.54350 + 4.40547i) q^{69} +(-0.859846 + 2.76986i) q^{70} +(-12.2489 - 3.28208i) q^{71} +(-0.500000 - 0.866025i) q^{72} -5.04229i q^{73} +(-2.80275 + 1.61817i) q^{74} +(-4.71345 - 1.66835i) q^{75} +(4.55804 - 1.22132i) q^{76} +(2.16801 + 2.16801i) q^{77} +(-2.68763 + 2.40346i) q^{78} +13.2885i q^{79} +(1.64189 - 1.51796i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-2.19059 + 8.17538i) q^{82} -2.04522 q^{83} +(0.335697 - 1.25284i) q^{84} +(-8.28459 + 13.1324i) q^{85} +(0.569937 + 0.569937i) q^{86} +(-6.12383 - 1.64087i) q^{87} +(-0.611818 - 2.28334i) q^{88} +(1.16115 + 4.33348i) q^{89} +(2.13554 + 0.662933i) q^{90} +(-4.66925 - 0.260620i) q^{91} +(3.59705 - 3.59705i) q^{92} +(-4.41696 + 7.65040i) q^{93} +(10.0541 + 5.80474i) q^{94} +(-5.62986 + 8.92421i) q^{95} +(-0.707107 + 0.707107i) q^{96} +(5.19551 - 2.99963i) q^{97} +(-4.60527 + 2.65885i) q^{98} +(1.67152 - 1.67152i) 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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