LMFDB - Embedded newform 315.2.cb.a.13.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [315,2,Mod(13,315)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(315, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9, 6]))

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

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

chi := DirichletCharacter("315.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 315 = 3^{2} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	315.cb (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:	$2.51528766367$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			13.16
Character	$\chi$	$=$	315.13
Dual form			315.2.cb.a.97.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.01873 - 0.272968i) q^{2} +(0.709229 - 1.58019i) q^{3} +(-0.768749 - 0.443838i) q^{4} +(0.354370 - 2.20781i) q^{5} +(-1.15386 + 1.41619i) q^{6} +(0.826274 - 2.51342i) q^{7} +(2.15352 + 2.15352i) q^{8} +(-1.99399 - 2.24143i) q^{9} +O(q^{10})$	\(q+(-1.01873 - 0.272968i) q^{2} +(0.709229 - 1.58019i) q^{3} +(-0.768749 - 0.443838i) q^{4} +(0.354370 - 2.20781i) q^{5} +(-1.15386 + 1.41619i) q^{6} +(0.826274 - 2.51342i) q^{7} +(2.15352 + 2.15352i) q^{8} +(-1.99399 - 2.24143i) q^{9} +(-0.963669 + 2.15243i) q^{10} +(-0.826243 - 1.43109i) q^{11} +(-1.24657 + 0.899985i) q^{12} +(1.46355 + 5.46205i) q^{13} +(-1.52783 + 2.33495i) q^{14} +(-3.23742 - 2.12581i) q^{15} +(-0.718341 - 1.24420i) q^{16} +(-2.70057 - 2.70057i) q^{17} +(1.41950 + 2.82771i) q^{18} +4.23627 q^{19} +(-1.25233 + 1.53997i) q^{20} +(-3.38565 - 3.08826i) q^{21} +(0.451076 + 1.68344i) q^{22} +(-5.21676 + 1.39783i) q^{23} +(4.93031 - 1.87563i) q^{24} +(-4.74884 - 1.56476i) q^{25} -5.96386i q^{26} +(-4.95608 + 1.56118i) q^{27} +(-1.75075 + 1.56546i) q^{28} +(1.76558 - 1.01936i) q^{29} +(2.71779 + 3.04935i) q^{30} +(6.73024 + 3.88571i) q^{31} +(-1.18432 - 4.41994i) q^{32} +(-2.84739 + 0.290644i) q^{33} +(2.01398 + 3.48832i) q^{34} +(-5.25634 - 2.71493i) q^{35} +(0.538044 + 2.60811i) q^{36} +(-0.171529 + 0.171529i) q^{37} +(-4.31562 - 1.15637i) q^{38} +(9.66906 + 1.56116i) q^{39} +(5.51771 - 3.99142i) q^{40} +(-3.02311 - 1.74540i) q^{41} +(2.60608 + 4.07028i) q^{42} +(1.16604 - 4.35171i) q^{43} +1.46687i q^{44} +(-5.65526 + 3.60805i) q^{45} +5.69603 q^{46} +(0.417181 - 1.55694i) q^{47} +(-2.47554 + 0.252688i) q^{48} +(-5.63454 - 4.15355i) q^{49} +(4.41067 + 2.89035i) q^{50} +(-6.18272 + 2.35208i) q^{51} +(1.29916 - 4.84853i) q^{52} +(2.84227 + 2.84227i) q^{53} +(5.47506 - 0.237576i) q^{54} +(-3.45238 + 1.31705i) q^{55} +(7.19210 - 3.63330i) q^{56} +(3.00449 - 6.69410i) q^{57} +(-2.07690 + 0.556504i) q^{58} +(5.09618 - 8.82685i) q^{59} +(1.54525 + 3.07111i) q^{60} +(1.38990 - 0.802460i) q^{61} +(-5.79564 - 5.79564i) q^{62} +(-7.28124 + 3.15969i) q^{63} +7.69937i q^{64} +(12.5778 - 1.29566i) q^{65} +(2.98007 + 0.481160i) q^{66} +(3.14908 + 11.7525i) q^{67} +(0.877445 + 3.27467i) q^{68} +(-1.49105 + 9.23483i) q^{69} +(4.61371 + 4.20060i) q^{70} +2.17128 q^{71} +(0.532877 - 9.12106i) q^{72} +(2.78850 - 2.78850i) q^{73} +(0.221564 - 0.127920i) q^{74} +(-5.84064 + 6.39429i) q^{75} +(-3.25663 - 1.88022i) q^{76} +(-4.27964 + 0.894217i) q^{77} +(-9.42402 - 4.22975i) q^{78} +(8.31756 - 4.80215i) q^{79} +(-3.00152 + 1.14505i) q^{80} +(-1.04803 + 8.93877i) q^{81} +(2.60330 + 2.60330i) q^{82} +(6.82344 + 1.82833i) q^{83} +(1.23203 + 3.87678i) q^{84} +(-6.91933 + 5.00534i) q^{85} +(-2.37576 + 4.11493i) q^{86} +(-0.358575 - 3.51290i) q^{87} +(1.30256 - 4.86122i) q^{88} +15.9862 q^{89} +(6.74607 - 2.13192i) q^{90} +(14.9377 + 0.834633i) q^{91} +(4.63078 + 1.24081i) q^{92} +(10.9134 - 7.87919i) q^{93} +(-0.849992 + 1.47223i) q^{94} +(1.50120 - 9.35287i) q^{95} +(-7.82428 - 1.26330i) q^{96} +(0.424854 - 1.58558i) q^{97} +(4.60630 + 5.76940i) q^{98} +(-1.56018 + 4.70555i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

$n$	$127$	$136$	$281$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.01873	−	0.272968i	−0.720352	−	0.193018i	−0.120023	−	0.992771i	$-0.538297\pi$
$2$	−1.01873	−	0.272968i	−0.720352	−	0.193018i	−0.600329	+	0.799753i	$0.704964\pi$
$3$	0.709229	−	1.58019i	0.409474	−	0.912322i
$3$	0.709229	−	1.58019i	0.409474	−	0.912322i
$4$	−0.768749	−	0.443838i	−0.384375	−	0.221919i
$5$	0.354370	−	2.20781i	0.158479	−	0.987362i
$5$	0.354370	−	2.20781i	0.158479	−	0.987362i
$6$	−1.15386	+	1.41619i	−0.471059	+	0.578157i
$7$	0.826274	−	2.51342i	0.312302	−	0.949983i
$7$	0.826274	−	2.51342i	0.312302	−	0.949983i
$8$	2.15352	+	2.15352i	0.761385	+	0.761385i
$9$	−1.99399	−	2.24143i	−0.664662	−	0.747144i
$10$	−0.963669	+	2.15243i	−0.304739	+	0.680659i
$11$	−0.826243	−	1.43109i	−0.249122	−	0.431491i	0.714161	−	0.699982i	$-0.246809\pi$
$11$	−0.826243	−	1.43109i	−0.249122	−	0.431491i	−0.963282	+	0.268490i	$0.913475\pi$
$12$	−1.24657	+	0.899985i	−0.359853	+	0.259803i
$13$	1.46355	+	5.46205i	0.405916	+	1.51490i	0.802360	+	0.596841i	$0.203578\pi$
$13$	1.46355	+	5.46205i	0.405916	+	1.51490i	−0.396443	+	0.918059i	$0.629756\pi$
$14$	−1.52783	+	2.33495i	−0.408331	+	0.624042i
$15$	−3.23742	−	2.12581i	−0.835899	−	0.548883i
$16$	−0.718341	−	1.24420i	−0.179585	−	0.311051i
$17$	−2.70057	−	2.70057i	−0.654983	−	0.654983i	0.299205	−	0.954189i	$-0.403278\pi$
$17$	−2.70057	−	2.70057i	−0.654983	−	0.654983i	−0.954189	+	0.299205i	$0.903278\pi$
$18$	1.41950	+	2.82771i	0.334579	+	0.666498i
$19$	4.23627			0.971867			0.485933	−	0.873996i	$-0.338480\pi$
$19$	4.23627			0.971867			0.485933	+	0.873996i	$0.338480\pi$
$20$	−1.25233	+	1.53997i	−0.280030	+	0.344348i
$21$	−3.38565	−	3.08826i	−0.738810	−	0.673913i
$22$	0.451076	+	1.68344i	0.0961697	+	0.358910i
$23$	−5.21676	+	1.39783i	−1.08777	+	0.291467i	−0.757775	−	0.652516i	$-0.773713\pi$
$23$	−5.21676	+	1.39783i	−1.08777	+	0.291467i	−0.329994	+	0.943983i	$0.607047\pi$
$24$	4.93031	−	1.87563i	1.00640	−	0.382861i
$25$	−4.74884	−	1.56476i	−0.949769	−	0.312952i
$26$		−	5.96386i		−	1.16961i
$27$	−4.95608	+	1.56118i	−0.953798	+	0.300450i
$28$	−1.75075	+	1.56546i	−0.330860	+	0.295843i
$29$	1.76558	−	1.01936i	0.327860	−	0.189290i	−0.327031	−	0.945014i	$-0.606048\pi$
$29$	1.76558	−	1.01936i	0.327860	−	0.189290i	0.654890	+	0.755724i	$0.272715\pi$
$30$	2.71779	+	3.04935i	0.496197	+	0.556732i
$31$	6.73024	+	3.88571i	1.20879	+	0.697894i	0.962494	−	0.271302i	$-0.0874541\pi$
$31$	6.73024	+	3.88571i	1.20879	+	0.697894i	0.246293	+	0.969195i	$0.420787\pi$
$32$	−1.18432	−	4.41994i	−0.209360	−	0.781342i
$33$	−2.84739	+	0.290644i	−0.495668	+	0.0505947i
$34$	2.01398	+	3.48832i	0.345395	+	0.598242i
$35$	−5.25634	−	2.71493i	−0.888484	−	0.458908i
$36$	0.538044	+	2.60811i	0.0896741	+	0.434684i
$37$	−0.171529	+	0.171529i	−0.0281992	+	0.0281992i	−0.721066	−	0.692867i	$-0.756347\pi$
$37$	−0.171529	+	0.171529i	−0.0281992	+	0.0281992i	0.692867	+	0.721066i	$0.256347\pi$
$38$	−4.31562	−	1.15637i	−0.700086	−	0.187587i
$39$	9.66906	+	1.56116i	1.54829	+	0.249986i
$40$	5.51771	−	3.99142i	0.872426	−	0.631099i
$41$	−3.02311	−	1.74540i	−0.472131	−	0.272585i	0.245000	−	0.969523i	$-0.421212\pi$
$41$	−3.02311	−	1.74540i	−0.472131	−	0.272585i	−0.717131	+	0.696938i	$0.754545\pi$
$42$	2.60608	+	4.07028i	0.402126	+	0.628058i
$43$	1.16604	−	4.35171i	0.177819	−	0.663629i	−0.818235	−	0.574883i	$-0.805047\pi$
$43$	1.16604	−	4.35171i	0.177819	−	0.663629i	0.996054	−	0.0887459i	$-0.0282859\pi$
$44$			1.46687i			0.221139i
$45$	−5.65526	+	3.60805i	−0.843037	+	0.537856i
$46$	5.69603			0.839834
$47$	0.417181	−	1.55694i	0.0608522	−	0.227103i	−0.928802	−	0.370576i	$-0.879160\pi$
$47$	0.417181	−	1.55694i	0.0608522	−	0.227103i	0.989654	+	0.143473i	$0.0458269\pi$
$48$	−2.47554	+	0.252688i	−0.357314	+	0.0364724i
$49$	−5.63454	−	4.15355i	−0.804935	−	0.593364i
$50$	4.41067	+	2.89035i	0.623762	+	0.408758i
$51$	−6.18272	+	2.35208i	−0.865754	+	0.329357i
$52$	1.29916	−	4.84853i	0.180161	−	0.672370i
$53$	2.84227	+	2.84227i	0.390415	+	0.390415i	0.874835	−	0.484420i	$-0.160969\pi$
$53$	2.84227	+	2.84227i	0.390415	+	0.390415i	−0.484420	+	0.874835i	$0.660969\pi$
$54$	5.47506	−	0.237576i	0.745062	−	0.0323300i
$55$	−3.45238	+	1.31705i	−0.465519	+	0.177591i
$56$	7.19210	−	3.63330i	0.961085	−	0.485520i
$57$	3.00449	−	6.69410i	0.397954	−	0.886655i
$58$	−2.07690	+	0.556504i	−0.272711	+	0.0730726i
$59$	5.09618	−	8.82685i	0.663467	−	1.14916i	−0.316232	−	0.948682i	$-0.602418\pi$
$59$	5.09618	−	8.82685i	0.663467	−	1.14916i	0.979699	−	0.200476i	$-0.0642489\pi$
$60$	1.54525	+	3.07111i	0.199491	+	0.396478i
$61$	1.38990	−	0.802460i	0.177959	−	0.102744i	−0.408375	−	0.912814i	$-0.633904\pi$
$61$	1.38990	−	0.802460i	0.177959	−	0.102744i	0.586333	+	0.810070i	$0.300571\pi$
$62$	−5.79564	−	5.79564i	−0.736046	−	0.736046i
$63$	−7.28124	+	3.15969i	−0.917349	+	0.398083i
$64$			7.69937i			0.962422i
$65$	12.5778	−	1.29566i	1.56008	−	0.160707i
$66$	2.98007	+	0.481160i	0.366821	+	0.0592266i
$67$	3.14908	+	11.7525i	0.384721	+	1.43580i	0.838606	+	0.544738i	$0.183371\pi$
$67$	3.14908	+	11.7525i	0.384721	+	1.43580i	−0.453886	+	0.891060i	$0.649963\pi$
$68$	0.877445	+	3.27467i	0.106406	+	0.397112i
$69$	−1.49105	+	9.23483i	−0.179501	+	1.11174i
$70$	4.61371	+	4.20060i	0.551444	+	0.502068i
$71$	2.17128			0.257683			0.128842	−	0.991665i	$-0.458874\pi$
$71$	2.17128			0.257683			0.128842	+	0.991665i	$0.458874\pi$
$72$	0.532877	−	9.12106i	0.0628002	−	1.07493i
$73$	2.78850	−	2.78850i	0.326370	−	0.326370i	−0.524835	−	0.851204i	$-0.675873\pi$
$73$	2.78850	−	2.78850i	0.326370	−	0.326370i	0.851204	+	0.524835i	$0.175873\pi$
$74$	0.221564	−	0.127920i	0.0257563	−	0.0148704i
$75$	−5.84064	+	6.39429i	−0.674419	+	0.738349i
$76$	−3.25663	−	1.88022i	−0.373561	−	0.215675i
$77$	−4.27964	+	0.894217i	−0.487711	+	0.101906i
$78$	−9.42402	−	4.22975i	−1.06706	−	0.478925i
$79$	8.31756	−	4.80215i	0.935799	−	0.540284i	0.0471580	−	0.998887i	$-0.484984\pi$
$79$	8.31756	−	4.80215i	0.935799	−	0.540284i	0.888641	+	0.458604i	$0.151650\pi$
$80$	−3.00152	+	1.14505i	−0.335580	+	0.128021i
$81$	−1.04803	+	8.93877i	−0.116448	+	0.993197i
$82$	2.60330	+	2.60330i	0.287487	+	0.287487i
$83$	6.82344	+	1.82833i	0.748970	+	0.200686i	0.613061	−	0.790036i	$-0.289938\pi$
$83$	6.82344	+	1.82833i	0.748970	+	0.200686i	0.135909	+	0.990721i	$0.456605\pi$
$84$	1.23203	+	3.87678i	0.134426	+	0.422991i
$85$	−6.91933	+	5.00534i	−0.750507	+	0.542905i
$86$	−2.37576	+	4.11493i	−0.256184	+	0.443724i
$87$	−0.358575	−	3.51290i	−0.0384433	−	0.376623i
$88$	1.30256	−	4.86122i	0.138853	−	0.518208i
$89$	15.9862			1.69453			0.847267	−	0.531167i	$-0.178246\pi$
$89$	15.9862			1.69453			0.847267	+	0.531167i	$0.178246\pi$
$90$	6.74607	−	2.13192i	0.711099	−	0.224725i
$91$	14.9377	+	0.834633i	1.56590	+	0.0874934i
$92$	4.63078	+	1.24081i	0.482793	+	0.129364i
$93$	10.9134	−	7.87919i	1.13167	−	0.817034i
$94$	−0.849992	+	1.47223i	−0.0876699	+	0.151849i
$95$	1.50120	−	9.35287i	0.154020	−	0.959585i
$96$	−7.82428	−	1.26330i	−0.798562	−	0.128935i
$97$	0.424854	−	1.58558i	0.0431374	−	0.160991i	−0.940997	−	0.338414i	$-0.890109\pi$
$97$	0.424854	−	1.58558i	0.0431374	−	0.160991i	0.984135	+	0.177423i	$0.0567762\pi$
$98$	4.60630	+	5.76940i	0.465306	+	0.582797i
$99$	−1.56018	+	4.70555i	−0.156804	+	0.472926i
$100$	2.95617	+	3.31062i	0.295617	+	0.331062i
$101$	2.72335	−	1.57233i	0.270984	−	0.156453i	−0.358351	−	0.933587i	$-0.616661\pi$
$101$	2.72335	−	1.57233i	0.270984	−	0.156453i	0.629335	+	0.777134i	$0.283327\pi$
$102$	6.94057	−	0.708451i	0.687219	−	0.0701471i
$103$	−3.44161	−	12.8443i	−0.339112	−	1.26558i	−0.899342	−	0.437245i	$-0.855954\pi$
$103$	−3.44161	−	12.8443i	−0.339112	−	1.26558i	0.560231	−	0.828337i	$-0.310712\pi$
$104$	−8.61085	+	14.9144i	−0.844363	+	1.46248i
$105$	−8.01806	+	6.38050i	−0.782483	+	0.622673i
$106$	−2.11966	−	3.67135i	−0.205879	−	0.356593i
$107$	−10.5180	+	10.5180i	−1.01682	+	1.01682i	−0.0169610	+	0.999856i	$0.505399\pi$
$107$	−10.5180	+	10.5180i	−1.01682	+	1.01682i	−0.999856	+	0.0169610i	$0.994601\pi$
$108$	4.50289	+	0.999534i	0.433291	+	0.0961802i
$109$		−	14.0683i		−	1.34750i	−0.738959	−	0.673750i	$-0.764682\pi$
$109$		−	14.0683i		−	1.34750i	0.738959	−	0.673750i	$-0.235318\pi$
$110$	3.87656	−	0.399331i	0.369615	−	0.0380747i
$111$	0.149395	+	0.392701i	0.0141799	+	0.0372736i
$112$	−3.72075	+	0.777439i	−0.351578	+	0.0734611i
$113$	−2.25420	+	0.604011i	−0.212057	+	0.0568206i	−0.363284	−	0.931679i	$-0.618344\pi$
$113$	−2.25420	+	0.604011i	−0.212057	+	0.0568206i	0.151226	+	0.988499i	$0.451678\pi$
$114$	−4.88804	+	5.99936i	−0.457807	+	0.561892i
$115$	1.23747	+	12.0129i	0.115395	+	1.12021i
$116$	−1.80972			−0.168028
$117$	9.32451	−	14.1717i	0.862051	−	1.31017i
$118$	−7.60109	+	7.60109i	−0.699737	+	0.699737i
$119$	−9.01906	+	4.55624i	−0.826776	+	0.417670i
$120$	−2.39388	−	11.5498i	−0.218530	−	1.05435i
$121$	4.13465	−	7.16142i	0.375877	−	0.651038i
$122$	−1.63498	+	0.438092i	−0.148024	+	0.0396630i
$123$	−4.90213	+	3.53920i	−0.442010	+	0.319119i
$124$	−3.44925	−	5.97427i	−0.309751	−	0.536505i
$125$	−5.13754	+	9.93004i	−0.459516	+	0.888170i
$126$	8.28012	−	1.23133i	0.737651	−	0.109695i
$127$	−14.2545	+	14.2545i	−1.26488	+	1.26488i	−0.316184	+	0.948698i	$0.602402\pi$
$127$	−14.2545	+	14.2545i	−1.26488	+	1.26488i	−0.948698	+	0.316184i	$0.897598\pi$
$128$	−0.266952	+	0.996280i	−0.0235955	+	0.0880596i
$129$	−6.04953	−	4.92892i	−0.532631	−	0.433967i
$130$	−13.1671	−	2.11341i	−1.15483	−	0.185358i
$131$	−1.42439	−	0.822370i	−0.124449	−	0.0718508i	0.436483	−	0.899712i	$-0.356224\pi$
$131$	−1.42439	−	0.822370i	−0.124449	−	0.0718508i	−0.560932	+	0.827862i	$0.689557\pi$
$132$	2.31793	+	1.04035i	0.201750	+	0.0905507i
$133$	3.50032	−	10.6475i	0.303516	−	0.923257i
$134$		−	12.8322i		−	1.10854i
$135$	1.69052	+	11.4953i	0.145496	+	0.989359i
$136$		−	11.6315i		−	0.997389i
$137$	−14.3565	−	3.84680i	−1.22656	−	0.328655i	−0.413318	−	0.910587i	$-0.635630\pi$
$137$	−14.3565	−	3.84680i	−1.22656	−	0.328655i	−0.813237	+	0.581932i	$0.802297\pi$
$138$	4.03979	−	9.00080i	0.343890	−	0.766199i
$139$	1.71201	−	2.96529i	0.145211	−	0.251512i	−0.784241	−	0.620457i	$-0.786947\pi$
$139$	1.71201	−	2.96529i	0.145211	−	0.251512i	0.929452	+	0.368944i	$0.120281\pi$
$140$	2.83582	+	4.42007i	0.239670	+	0.373564i
$141$	−2.16438	−	1.76345i	−0.182274	−	0.148510i
$142$	−2.21195	−	0.592689i	−0.185622	−	0.0497374i
$143$	6.60746	−	6.60746i	0.552544	−	0.552544i
$144$	−1.35643	+	4.09104i	−0.113036	+	0.340920i
$145$	−1.62488	−	4.25929i	−0.134939	−	0.353715i
$146$	−3.60191	+	2.07956i	−0.298096	+	0.172106i
$147$	−10.5596	+	5.95782i	−0.870938	+	0.491392i
$148$	0.207994	−	0.0557318i	0.0170970	−	0.00458112i
$149$	−4.60745	−	2.66012i	−0.377457	−	0.217925i	0.299254	−	0.954173i	$-0.403262\pi$
$149$	−4.60745	−	2.66012i	−0.377457	−	0.217925i	−0.676711	+	0.736248i	$0.736596\pi$
$150$	7.69548	−	4.91976i	0.628333	−	0.401696i
$151$	−6.64827	−	11.5151i	−0.541028	−	0.937089i	−0.998845	−	0.0480422i	$-0.984702\pi$
$151$	−6.64827	−	11.5151i	−0.541028	−	0.937089i	0.457817	−	0.889047i	$-0.348632\pi$
$152$	9.12289	+	9.12289i	0.739964	+	0.739964i
$153$	−0.668240	+	11.4380i	−0.0540240	+	0.924710i
$154$	4.60390	+	0.257239i	0.370993	+	0.0207289i
$155$	10.9639	−	13.4821i	0.880641	−	1.08291i
$156$	−6.74018	−	5.49163i	−0.539646	−	0.439682i
$157$	−3.72307	+	0.997594i	−0.297133	+	0.0796167i	−0.404306	−	0.914624i	$-0.632487\pi$
$157$	−3.72307	+	0.997594i	−0.297133	+	0.0796167i	0.107173	+	0.994240i	$0.465820\pi$
$158$	−9.78419	+	2.62167i	−0.778389	+	0.208569i
$159$	6.50713	−	2.47549i	0.516049	−	0.196320i
$160$	−10.1781	+	1.04846i	−0.804646	+	0.0828879i
$161$	−0.797151	+	14.2669i	−0.0628243	+	1.12439i
$162$	3.50766	−	8.82013i	0.275588	−	0.692975i
$163$	11.9022	+	11.9022i	0.932256	+	0.932256i	0.997847	−	0.0655908i	$-0.0208932\pi$
$163$	11.9022	+	11.9022i	0.932256	+	0.932256i	−0.0655908	+	0.997847i	$0.520893\pi$
$164$	1.54934	+	2.68354i	0.120983	+	0.209549i
$165$	−0.367342	+	6.38950i	−0.0285976	+	0.497422i
$166$	−6.45217	−	3.72516i	−0.500786	−	0.289129i
$167$	21.8788	−	5.86242i	1.69304	−	0.453647i	0.721865	−	0.692034i	$-0.243285\pi$
$167$	21.8788	−	5.86242i	1.69304	−	0.453647i	0.971170	+	0.238387i	$0.0766185\pi$
$168$	−0.640448	−	13.9417i	−0.0494117	−	1.07563i
$169$	−16.4337	+	9.48799i	−1.26413	+	0.729845i
$170$	8.41524	−	3.21033i	0.645419	−	0.246221i
$171$	−8.44707	−	9.49531i	−0.645963	−	0.726124i
$172$	−2.82784	+	2.82784i	−0.215621	+	0.215621i
$173$	−13.8602	−	3.71384i	−1.05377	−	0.282358i	−0.309964	−	0.950748i	$-0.600317\pi$
$173$	−13.8602	−	3.71384i	−1.05377	−	0.282358i	−0.743811	+	0.668390i	$0.766984\pi$
$174$	−0.593619	+	3.67658i	−0.0450021	+	0.278721i
$175$	−7.85675	+	10.6429i	−0.593914	+	0.804528i
$176$	−1.18705	+	2.05603i	−0.0894772	+	0.154979i
$177$	−10.3337	−	14.3132i	−0.776730	−	1.07585i
$178$	−16.2856	−	4.36373i	−1.22066	−	0.327075i
$179$			6.74215i			0.503932i	0.967736	+	0.251966i	$0.0810771\pi$
$179$			6.74215i			0.503932i	−0.967736	+	0.251966i	$0.918923\pi$
$180$	5.94887	−	0.263666i	0.443402	−	0.0196525i
$181$		−	17.3030i		−	1.28612i	−0.765816	−	0.643059i	$-0.777665\pi$
$181$		−	17.3030i		−	1.28612i	0.765816	−	0.643059i	$-0.222335\pi$
$182$	−14.9897	−	4.92779i	−1.11111	−	0.365272i
$183$	−0.282278	−	2.76543i	−0.0208666	−	0.204427i
$184$	−14.2446	−	8.22415i	−1.05013	−	0.606292i
$185$	0.317919	+	0.439488i	0.0233738	+	0.0323118i
$186$	−13.2686	+	5.04776i	−0.972903	+	0.370119i
$187$	−1.63344	+	6.09609i	−0.119449	+	0.445790i
$188$	−1.01174	+	1.01174i	−0.0737885	+	0.0737885i
$189$	−0.171169	+	13.7467i	−0.0124507	+	0.999922i
$190$	−4.08236	+	9.11828i	−0.296166	+	0.661510i
$191$	6.51438	+	11.2832i	0.471364	+	0.816427i	0.999463	−	0.0327559i	$-0.0104284\pi$
$191$	6.51438	+	11.2832i	0.471364	+	0.816427i	−0.528099	+	0.849183i	$0.677095\pi$
$192$	12.1665	+	5.46062i	0.878038	+	0.394086i
$193$	−11.7767	+	3.15557i	−0.847708	+	0.227143i	−0.656424	−	0.754392i	$-0.727932\pi$
$193$	−11.7767	+	3.15557i	−0.847708	+	0.227143i	−0.191284	+	0.981535i	$0.561265\pi$
$194$	−0.865624	+	1.49931i	−0.0621482	+	0.107644i
$195$	6.87316	−	20.7942i	0.492197	−	1.48910i
$196$	2.48805	+	5.69386i	0.177718	+	0.406704i
$197$	16.8117	−	16.8117i	1.19779	−	1.19779i	0.222959	−	0.974828i	$-0.428428\pi$
$197$	16.8117	−	16.8117i	1.19779	−	1.19779i	0.974828	−	0.222959i	$-0.0715716\pi$
$198$	2.87387	−	4.36781i	0.204237	−	0.310407i
$199$	1.71761			0.121758			0.0608790	−	0.998145i	$-0.480610\pi$
$199$	1.71761			0.121758			0.0608790	+	0.998145i	$0.480610\pi$
$200$	−6.85699	−	13.5965i	−0.484863	−	0.961417i
$201$	20.8046	+	3.35910i	1.46744	+	0.236932i
$202$	−3.20356	+	0.858392i	−0.225402	+	0.0603962i
$203$	−1.10322	−	5.27990i	−0.0774308	−	0.370577i
$204$	5.79690	+	0.935964i	0.405864	+	0.0655306i
$205$	−4.92480	+	6.05594i	−0.343963	+	0.422965i
$206$			14.0243i			0.977119i
$207$	13.5353	+	8.90575i	0.940767	+	0.618993i
$208$	5.74457	−	5.74457i	0.398314	−	0.398314i
$209$	−3.50019	−	6.06250i	−0.242113	−	0.419352i
$210$	9.90992	−	4.31133i	0.683849	−	0.297510i
$211$	−2.21332	+	3.83358i	−0.152371	+	0.263915i	−0.932099	−	0.362204i	$-0.882024\pi$
$211$	−2.21332	+	3.83358i	−0.152371	+	0.263915i	0.779728	+	0.626119i	$0.215358\pi$
$212$	−0.923485	−	3.44649i	−0.0634252	−	0.236706i
$213$	1.53993	−	3.43102i	0.105514	−	0.235090i
$214$	13.5861	−	7.84396i	0.928730	−	0.536202i
$215$	−9.19453	−	4.11650i	−0.627062	−	0.280743i
$216$	−14.0351	−	7.31097i	−0.954965	−	0.497449i
$217$	15.3274	−	13.7053i	1.04049	−	0.930374i
$218$	−3.84020	+	14.3318i	−0.260091	+	0.970674i
$219$	−2.42867	−	6.38405i	−0.164114	−	0.431394i
$220$	3.23857	+	0.519814i	0.218344	+	0.0350459i
$221$	10.7982	−	18.7030i	0.726366	−	1.25810i
$222$	−0.0449979	−	0.440837i	−0.00302006	−	0.0295871i
$223$	21.1891	+	5.67761i	1.41893	+	0.380201i	0.885104	−	0.465394i	$-0.154087\pi$
$223$	21.1891	+	5.67761i	1.41893	+	0.380201i	0.533825	+	0.845595i	$0.320754\pi$
$224$	−12.0877	−	0.675392i	−0.807645	−	0.0451265i
$225$	5.96183	+	13.7643i	0.397455	+	0.917622i
$226$	2.46130			0.163723
$227$	−4.78802	+	17.8691i	−0.317792	+	1.18602i	0.603570	+	0.797310i	$0.293744\pi$
$227$	−4.78802	+	17.8691i	−0.317792	+	1.18602i	−0.921362	+	0.388706i	$0.872922\pi$
$228$	−5.28079	+	3.81258i	−0.349729	+	0.252494i
$229$	−11.1479	+	19.3087i	−0.736675	+	1.27596i	0.217310	+	0.976103i	$0.430272\pi$
$229$	−11.1479	+	19.3087i	−0.736675	+	1.27596i	−0.953985	+	0.299855i	$0.903062\pi$
$230$	2.01850	−	12.5758i	0.133096	−	0.829221i
$231$	−1.62222	+	7.39684i	−0.106734	+	0.486677i
$232$	5.99742	+	1.60700i	0.393750	+	0.105505i
$233$	−1.38791	−	1.38791i	−0.0909250	−	0.0909250i	0.660181	−	0.751106i	$-0.270479\pi$
$233$	−1.38791	−	1.38791i	−0.0909250	−	0.0909250i	−0.751106	+	0.660181i	$0.770479\pi$
$234$	−13.3676	+	11.8919i	−0.873867	+	0.777396i
$235$	−3.28960	−	1.47279i	−0.214590	−	0.0960742i
$236$	−7.83538	+	4.52376i	−0.510039	+	0.294471i
$237$	−1.68923	−	16.5491i	−0.109728	−	1.07498i
$238$	10.4317	−	2.17967i	0.676187	−	0.141287i
$239$	23.9740	+	13.8414i	1.55075	+	0.895325i	0.998081	+	0.0619233i	$0.0197234\pi$
$239$	23.9740	+	13.8414i	1.55075	+	0.895325i	0.552668	+	0.833402i	$0.313610\pi$
$240$	−0.319370	+	5.55508i	−0.0206152	+	0.358579i
$241$	−12.1532	+	7.01663i	−0.782854	+	0.451981i	−0.837441	−	0.546528i	$-0.815949\pi$
$241$	−12.1532	+	7.01663i	−0.782854	+	0.451981i	0.0545868	+	0.998509i	$0.482616\pi$
$242$	−6.16693	+	6.16693i	−0.396425	+	0.396425i
$243$	13.3816	+	7.99573i	0.858433	+	0.512926i
$244$	−1.42465			−0.0912037
$245$	−11.1669	+	10.9681i	−0.713430	+	0.700726i
$246$	5.96005	−	2.26737i	0.379999	−	0.144562i
$247$	6.20000	+	23.1387i	0.394497	+	1.47228i
$248$	6.12577	+	22.8617i	0.388987	+	1.45172i
$249$	7.72850	−	9.48561i	0.489774	−	0.601126i
$250$	7.94436	−	8.71366i	0.502445	−	0.551100i
$251$			8.97113i			0.566252i	0.959083	+	0.283126i	$0.0913715\pi$
$251$			8.97113i			0.566252i	−0.959083	+	0.283126i	$0.908628\pi$
$252$	6.99983	+	0.802679i	0.440948	+	0.0505641i
$253$	6.31073	+	6.31073i	0.396752	+	0.396752i
$254$	18.4125	−	10.6305i	1.15530	−	0.667015i
$255$	3.00198	+	14.4838i	0.187991	+	0.907009i
$256$	8.24328	−	14.2778i	0.515205	−	0.892361i
$257$	2.26372	−	0.606563i	0.141207	−	0.0378364i	−0.187523	−	0.982260i	$-0.560046\pi$
$257$	2.26372	−	0.606563i	0.141207	−	0.0378364i	0.328730	+	0.944424i	$0.393379\pi$
$258$	4.81741	+	6.67257i	0.299919	+	0.415416i
$259$	0.289394	+	0.572854i	0.0179821	+	0.0355954i
$260$	−10.2442	−	4.58646i	−0.635321	−	0.284440i
$261$	−5.80536	−	1.92484i	−0.359343	−	0.119144i
$262$	1.22659	+	1.22659i	0.0757787	+	0.0757787i
$263$	−7.17713	+	26.7854i	−0.442561	+	1.65166i	0.279738	+	0.960077i	$0.409753\pi$
$263$	−7.17713	+	26.7854i	−0.442561	+	1.65166i	−0.722298	+	0.691582i	$0.756914\pi$
$264$	−6.75783	−	5.50602i	−0.415916	−	0.338872i
$265$	7.28239	−	5.26797i	0.447354	−	0.323609i
$266$	−6.47232	+	9.89148i	−0.396843	+	0.606486i
$267$	11.3379	−	25.2612i	0.693867	−	1.54596i
$268$	2.79536	−	10.4324i	0.170754	−	0.637261i
$269$	4.38644			0.267446			0.133723	−	0.991019i	$-0.457307\pi$
$269$	4.38644			0.267446			0.133723	+	0.991019i	$0.457307\pi$
$270$	1.41567	−	12.1721i	0.0861552	−	0.740770i
$271$			28.9433i			1.75818i	0.476656	+	0.879090i	$0.341849\pi$
$271$			28.9433i			1.75818i	−0.476656	+	0.879090i	$0.658151\pi$
$272$	−1.42013	+	5.29998i	−0.0861078	+	0.321359i
$273$	11.9131	−	23.0124i	0.721016	−	1.39278i
$274$	13.5753	+	7.83772i	0.820115	+	0.473494i
$275$	1.68438	+	8.08892i	0.101572	+	0.487780i
$276$	5.24501	−	6.43749i	0.315712	−	0.387491i
$277$	22.9696	+	6.15468i	1.38011	+	0.369799i	0.871160	−	0.490999i	$-0.163368\pi$
$277$	22.9696	+	6.15468i	1.38011	+	0.369799i	0.508947	+	0.860798i	$0.330035\pi$
$278$	−2.55351	+	2.55351i	−0.153149	+	0.153149i
$279$	−4.71047	−	22.8334i	−0.282008	−	1.36700i
$280$	−5.47297	−	17.1663i	−0.327073	−	1.02588i
$281$	14.0257	+	24.2932i	0.836702	+	1.44921i	0.892637	+	0.450776i	$0.148853\pi$
$281$	14.0257	+	24.2932i	0.836702	+	1.44921i	−0.0559353	+	0.998434i	$0.517814\pi$
$282$	1.72356	+	2.38729i	0.102636	+	0.142161i
$283$	−3.17586	−	11.8525i	−0.188786	−	0.704557i	−0.993788	−	0.111286i	$-0.964503\pi$
$283$	−3.17586	−	11.8525i	−0.188786	−	0.704557i	0.805003	−	0.593271i	$-0.202164\pi$
$284$	−1.66917	−	0.963694i	−0.0990468	−	0.0571847i
$285$	−13.7146	−	9.00552i	−0.812383	−	0.533441i
$286$	−8.53485	+	4.92760i	−0.504676	+	0.291375i
$287$	−6.88483	+	6.15617i	−0.406399	+	0.363387i
$288$	−7.54547	+	11.4679i	−0.444621	+	0.675750i
$289$		−	2.41389i		−	0.141994i
$290$	0.492664	+	4.78261i	0.0289302	+	0.280845i
$291$	−2.20419	−	1.79589i	−0.129212	−	0.105277i
$292$	−3.38130	+	0.906017i	−0.197876	+	0.0530206i
$293$	−5.34641	−	19.9531i	−0.312341	−	1.16567i	−0.926440	−	0.376443i	$-0.877147\pi$
$293$	−5.34641	−	19.9531i	−0.312341	−	1.16567i	0.614099	−	0.789229i	$-0.289519\pi$
$294$	12.3837	−	3.18699i	0.722229	−	0.185869i
$295$	−17.6821	−	14.3794i	−1.02949	−	0.837199i
$296$	−0.738783			−0.0429409
$297$	6.32913	+	5.80270i	0.367253	+	0.336707i
$298$	3.96763	+	3.96763i	0.229839	+	0.229839i
$299$	−15.2700	−	26.4484i	−0.883086	−	1.52955i
$300$	7.32801	−	2.32331i	0.423083	−	0.134137i
$301$	−9.97420	−	6.52644i	−0.574903	−	0.376178i
$302$	3.62953	+	13.5456i	0.208856	+	0.779462i
$303$	−0.553093	−	5.41855i	−0.0317743	−	0.311288i
$304$	−3.04309	−	5.27078i	−0.174533	−	0.302300i
$305$	−1.27914	−	3.35301i	−0.0732433	−	0.191993i
$306$	3.80297	−	11.4699i	0.217402	−	0.655689i
$307$	3.21861	+	3.21861i	0.183696	+	0.183696i	0.792964	−	0.609268i	$-0.208537\pi$
$307$	3.21861	+	3.21861i	0.183696	+	0.183696i	−0.609268	+	0.792964i	$0.708537\pi$
$308$	3.68686	+	1.21204i	0.210078	+	0.0690622i
$309$	−22.7372	−	3.67114i	−1.29348	−	0.208844i
$310$	−14.8495	+	10.7419i	−0.843392	+	0.610097i
$311$	0.185735	+	0.107234i	0.0105321	+	0.00608068i	0.505257	−	0.862969i	$-0.331398\pi$
$311$	0.185735	+	0.107234i	0.0105321	+	0.00608068i	−0.494725	+	0.869050i	$0.664731\pi$
$312$	17.4605	+	24.1845i	0.988508	+	1.36918i
$313$	21.8890	+	5.86515i	1.23724	+	0.331518i	0.817395	−	0.576077i	$-0.195417\pi$
$313$	21.8890	+	5.86515i	1.23724	+	0.331518i	0.419847	+	0.907595i	$0.362084\pi$
$314$	4.06512			0.229408
$315$	4.39574	+	17.1953i	0.247672	+	0.968844i
$316$	−8.52549			−0.479596
$317$	−13.0780	−	3.50423i	−0.734532	−	0.196817i	−0.127885	−	0.991789i	$-0.540819\pi$
$317$	−13.0780	−	3.50423i	−0.734532	−	0.196817i	−0.606646	+	0.794972i	$0.707486\pi$
$318$	−7.30475	+	0.745624i	−0.409630	+	0.0418125i
$319$	−2.91759	−	1.68447i	−0.163354	−	0.0943124i
$320$	16.9987	+	2.72842i	0.950259	+	0.152524i
$321$	9.16077	+	24.0802i	0.511304	+	1.34402i
$322$	4.70649	−	14.3165i	0.262282	−	0.797828i
$323$	−11.4403	−	11.4403i	−0.636557	−	0.636557i
$324$	4.77304	−	6.40652i	0.265169	−	0.355918i
$325$	1.59662	−	28.2285i	0.0885646	−	1.56584i
$326$	−8.87625	−	15.3741i	−0.491610	−	0.851494i
$327$	−22.2306	−	9.97766i	−1.22935	−	0.551766i
$328$	−2.75159	−	10.2691i	−0.151931	−	0.567015i
$329$	−3.56854	−	2.33501i	−0.196740	−	0.128733i
$330$	2.11835	−	6.40891i	0.116612	−	0.352799i
$331$	2.30548	+	3.99321i	0.126721	+	0.219487i	0.922404	−	0.386226i	$-0.126222\pi$
$331$	2.30548	+	3.99321i	0.126721	+	0.219487i	−0.795684	+	0.605712i	$0.792888\pi$
$332$	−4.43403	−	4.43403i	−0.243349	−	0.243349i
$333$	0.726497	+	0.0424439i	0.0398118	+	0.00232591i
$334$	−23.8889			−1.30714
$335$	27.0632	−	2.78783i	1.47862	−	0.152315i
$336$	−1.41037	+	6.43087i	−0.0769418	+	0.350833i
$337$	3.81257	+	14.2287i	0.207684	+	0.775087i	0.988615	+	0.150469i	$0.0480785\pi$
$337$	3.81257	+	14.2287i	0.207684	+	0.775087i	−0.780931	+	0.624618i	$0.785255\pi$
$338$	19.3314	−	5.17984i	1.05149	−	0.281746i
$339$	−0.644294	+	3.99044i	−0.0349932	+	0.216731i
$340$	7.54079	−	0.776788i	0.408957	−	0.0421273i
$341$		−	12.8422i		−	0.695442i
$342$	6.01337	+	11.9789i	0.325166	+	0.647747i
$343$	−15.0953	+	10.7300i	−0.815068	+	0.579365i
$344$	11.8826	−	6.86041i	0.640666	−	0.369889i
$345$	19.8604	+	6.56450i	1.06925	+	0.353421i
$346$	13.1061	+	7.56681i	0.704588	+	0.406794i
$347$	−0.437062	−	1.63114i	−0.0234627	−	0.0875640i	0.953202	−	0.302335i	$-0.0977661\pi$
$347$	−0.437062	−	1.63114i	−0.0234627	−	0.0875640i	−0.976664	+	0.214771i	$0.931099\pi$
$348$	−1.28350	+	2.85969i	−0.0688030	+	0.153296i
$349$	−6.31333	−	10.9350i	−0.337945	−	0.585337i	0.646101	−	0.763252i	$-0.276398\pi$
$349$	−6.31333	−	10.9350i	−0.337945	−	0.585337i	−0.984046	+	0.177914i	$0.943065\pi$
$350$	10.9091	−	8.69762i	0.583115	−	0.464907i
$351$	−15.7807	−	24.7855i	−0.842314	−	1.32295i
$352$	−5.34681	+	5.34681i	−0.284986	+	0.284986i
$353$	−6.27073	−	1.68024i	−0.333757	−	0.0894300i	0.0880485	−	0.996116i	$-0.471937\pi$
$353$	−6.27073	−	1.68024i	−0.333757	−	0.0894300i	−0.421806	+	0.906686i	$0.638604\pi$
$354$	6.62023	+	17.4021i	0.351861	+	0.924910i
$355$	0.769434	−	4.79376i	0.0408373	−	0.254427i
$356$	−12.2894	−	7.09528i	−0.651336	−	0.376049i
$357$	0.803137	+	17.4832i	0.0425065	+	0.925311i
$358$	1.84039	−	6.86844i	0.0972678	−	0.363008i
$359$		−	4.15066i		−	0.219064i	−0.993983	−	0.109532i	$-0.965065\pi$
$359$		−	4.15066i		−	0.219064i	0.993983	−	0.109532i	$-0.0349351\pi$
$360$	−19.9487	−	4.40872i	−1.05139	−	0.232360i
$361$	−1.05403			−0.0554751
$362$	−4.72316	+	17.6271i	−0.248244	+	0.926458i
$363$	−8.38397	−	11.6126i	−0.440044	−	0.609504i
$364$	−11.1129	−	7.27154i	−0.582475	−	0.381132i
$365$	−5.16832	−	7.14464i	−0.270522	−	0.373968i
$366$	−0.467310	+	2.89429i	−0.0244267	+	0.151287i
$367$	−3.72929	+	13.9179i	−0.194667	+	0.726509i	0.797685	+	0.603074i	$0.206058\pi$
$367$	−3.72929	+	13.9179i	−0.194667	+	0.726509i	−0.992353	+	0.123435i	$0.960609\pi$
$368$	5.48659	+	5.48659i	0.286008	+	0.286008i
$369$	2.11586	+	10.2564i	0.110148	+	0.533927i
$370$	−0.203907	−	0.534502i	−0.0106006	−	0.0277874i
$371$	9.49229	−	4.79531i	0.492815	−	0.248960i
$372$	−11.8868	+	1.21333i	−0.616301	+	0.0629082i
$373$	32.4515	−	8.69536i	1.68028	−	0.450229i	0.712424	−	0.701749i	$-0.247597\pi$
$373$	32.4515	−	8.69536i	1.68028	−	0.450229i	0.967852	+	0.251520i	$0.0809305\pi$
$374$	3.32808	−	5.76440i	0.172091	−	0.298070i
$375$	12.0476	+	15.1610i	0.622137	+	0.782908i
$376$	4.25132	−	2.45450i	0.219245	−	0.126581i
$377$	8.15179	+	8.15179i	0.419839	+	0.419839i
$378$	3.92678	−	13.9574i	0.201972	−	0.717893i
$379$		−	6.18335i		−	0.317617i	−0.987309	−	0.158809i	$-0.949235\pi$
$379$		−	6.18335i		−	0.317617i	0.987309	−	0.158809i	$-0.0507653\pi$
$380$	−5.30521	+	6.52372i	−0.272151	+	0.334660i
$381$	12.4151	+	32.6345i	0.636043	+	1.67192i
$382$	−3.55644	−	13.2728i	−0.181963	−	0.679096i
$383$	8.38115	+	31.2789i	0.428257	+	1.59828i	0.756707	+	0.653755i	$0.226807\pi$
$383$	8.38115	+	31.2789i	0.428257	+	1.59828i	−0.328450	+	0.944521i	$0.606526\pi$
$384$	1.38498	+	1.12843i	0.0706769	+	0.0575848i
$385$	0.457686	+	9.76552i	0.0233258	+	0.497697i
$386$	12.8587			0.654490
$387$	−12.0791	+	6.06366i	−0.614016	+	0.308233i
$388$	−1.03034	+	1.03034i	−0.0523078	+	0.0523078i
$389$	6.44763	−	3.72254i	0.326908	−	0.188740i	−0.327559	−	0.944831i	$-0.606226\pi$
$389$	6.44763	−	3.72254i	0.326908	−	0.188740i	0.654468	+	0.756090i	$0.272893\pi$
$390$	−12.6781	+	19.3076i	−0.641979	+	0.977676i
$391$	17.8631	+	10.3133i	0.903376	+	0.521565i
$392$	−3.18936	−	21.0789i	−0.161087	−	1.06464i
$393$	−2.30972	+	1.66755i	−0.116510	+	0.0841167i
$394$	−21.7157	+	12.5376i	−1.09402	+	0.631634i
$395$	−7.65473	−	20.0653i	−0.385151	−	1.00960i
$396$	3.28789	−	2.92492i	0.165223	−	0.146983i
$397$	8.15324	+	8.15324i	0.409199	+	0.409199i	0.881459	−	0.472260i	$-0.156562\pi$
$397$	8.15324	+	8.15324i	0.409199	+	0.409199i	−0.472260	+	0.881459i	$0.656562\pi$
$398$	−1.74978	−	0.468853i	−0.0877086	−	0.0235015i
$399$	−14.3425	−	13.0827i	−0.718025	−	0.654954i
$400$	1.46441	+	7.03256i	0.0732205	+	0.351628i
$401$	−7.49802	+	12.9869i	−0.374433	+	0.648537i	−0.990242	−	0.139358i	$-0.955496\pi$
$401$	−7.49802	+	12.9869i	−0.374433	+	0.648537i	0.615809	+	0.787896i	$0.288829\pi$
$402$	−20.2774	−	9.10101i	−1.01134	−	0.453917i
$403$	−11.3739	+	42.4479i	−0.566573	+	2.11448i
$404$	−2.79144			−0.138879
$405$	19.3637	+	5.48148i	0.962191	+	0.272377i
$406$	−0.317363	+	5.67995i	−0.0157505	+	0.281891i
$407$	0.387199	+	0.103750i	0.0191927	+	0.00514268i
$408$	−18.3799	−	8.24937i	−0.909939	−	0.408405i
$409$	−0.892456	+	1.54578i	−0.0441291	+	0.0764339i	−0.887246	−	0.461296i	$-0.847385\pi$
$409$	−0.892456	+	1.54578i	−0.0441291	+	0.0764339i	0.843117	+	0.537730i	$0.180718\pi$
$410$	6.67013	−	4.82506i	0.329414	−	0.238293i
$411$	−16.2607	+	19.9576i	−0.802081	+	0.984438i
$412$	−3.05503	+	11.4015i	−0.150510	+	0.561713i
$413$	−17.9747	−	20.1022i	−0.884478	−	0.989167i
$414$	−11.3578	−	12.7673i	−0.558206	−	0.627477i
$415$	6.45463	−	14.4169i	0.316846	−	0.707700i
$416$	22.4086	−	12.9376i	1.09867	−	0.634319i
$417$	−3.47150	−	4.80836i	−0.170000	−	0.235467i
$418$	1.91088	+	7.13150i	0.0934642	+	0.348813i
$419$	−13.4990	+	23.3810i	−0.659471	+	1.14224i	0.321281	+	0.946984i	$0.395886\pi$
$419$	−13.4990	+	23.3810i	−0.659471	+	1.14224i	−0.980753	+	0.195254i	$0.937447\pi$
$420$	8.99578	−	1.34628i	0.438949	−	0.0656920i
$421$	−4.16769	−	7.21865i	−0.203121	−	0.351816i	0.746412	−	0.665485i	$-0.231775\pi$
$421$	−4.16769	−	7.21865i	−0.203121	−	0.351816i	−0.949532	+	0.313669i	$0.898442\pi$
$422$	3.30122	−	3.30122i	0.160701	−	0.160701i
$423$	−4.32163	+	2.16944i	−0.210125	+	0.105482i
$424$			12.2418i			0.594512i
$425$	8.59883	+	17.0503i	0.417104	+	0.827061i
$426$	−2.50534	+	3.07494i	−0.121384	+	0.148981i
$427$	−0.868478	−	4.15646i	−0.0420286	−	0.201145i
$428$	12.7540	−	3.41743i	0.616490	−	0.165188i
$429$	−5.75482	−	15.1272i	−0.277845	−	0.730350i
$430$	8.24308	+	6.70342i	0.397517	+	0.323268i
$431$	13.7033			0.660064			0.330032	−	0.943970i	$-0.392941\pi$
$431$	13.7033			0.660064			0.330032	+	0.943970i	$0.392941\pi$
$432$	5.50259	+	5.04491i	0.264743	+	0.242723i
$433$	2.06667	−	2.06667i	0.0993176	−	0.0993176i	−0.655702	−	0.755020i	$-0.727627\pi$
$433$	2.06667	−	2.06667i	0.0993176	−	0.0993176i	0.755020	+	0.655702i	$0.227627\pi$
$434$	−19.3556	+	9.77807i	−0.929100	+	0.469362i
$435$	−7.88289	−	0.453200i	−0.377956	−	0.0217293i
$436$	−6.24405	+	10.8150i	−0.299036	+	0.517945i
$437$	−22.0996	+	5.92156i	−1.05717	+	0.283267i
$438$	0.731520	+	7.16658i	0.0349534	+	0.342432i
$439$	−5.40017	−	9.35337i	−0.257736	−	0.446412i	0.707899	−	0.706314i	$-0.249643\pi$
$439$	−5.40017	−	9.35337i	−0.257736	−	0.446412i	−0.965635	+	0.259902i	$0.916310\pi$
$440$	−10.2711	−	4.59848i	−0.489654	−	0.219224i
$441$	1.92532	+	20.9116i	0.0916817	+	0.995788i
$442$	−16.1058	+	16.1058i	−0.766075	+	0.766075i
$443$	2.42125	−	9.03621i	0.115037	−	0.429324i	−0.884253	−	0.467009i	$-0.845332\pi$
$443$	2.42125	−	9.03621i	0.115037	−	0.429324i	0.999290	+	0.0376851i	$0.0119984\pi$
$444$	0.0594487	−	0.368196i	0.00282131	−	0.0174738i
$445$	5.66502	−	35.2945i	0.268548	−	1.67312i
$446$	−20.0362	−	11.5679i	−0.948742	−	0.547757i
$447$	−7.47122	+	5.39401i	−0.353377	+	0.255128i
$448$	19.3517	+	6.36179i	0.914284	+	0.300567i
$449$			17.2497i			0.814063i	0.913414	+	0.407032i	$0.133436\pi$
$449$			17.2497i			0.814063i	−0.913414	+	0.407032i	$0.866564\pi$
$450$	−2.31628	−	15.6495i	−0.109190	−	0.737726i
$451$			5.76848i			0.271627i
$452$	2.00100	+	0.536165i	0.0941190	+	0.0252191i
$453$	−22.9112	+	2.33864i	−1.07646	+	0.109879i
$454$	9.75541	−	16.8969i	0.457844	−	0.793009i
$455$	7.13618	−	32.6838i	0.334549	−	1.53224i
$456$	20.8861	−	7.94566i	0.978082	−	0.372090i
$457$	−30.9408	−	8.29055i	−1.44735	−	0.387816i	−0.552248	−	0.833680i	$-0.686230\pi$
$457$	−30.9408	−	8.29055i	−1.44735	−	0.387816i	−0.895100	+	0.445864i	$0.852896\pi$
$458$	16.6274	−	16.6274i	0.776947	−	0.776947i
$459$	17.6003	+	9.16813i	0.821511	+	0.427932i
$460$	4.38049	−	9.78418i	0.204241	−	0.456190i
$461$	17.1496	−	9.90132i	0.798736	−	0.461150i	−0.0442932	−	0.999019i	$-0.514104\pi$
$461$	17.1496	−	9.90132i	0.798736	−	0.461150i	0.843029	+	0.537868i	$0.180770\pi$
$462$	3.67171	−	7.09258i	0.170823	−	0.329977i
$463$	−5.46676	+	1.46481i	−0.254062	+	0.0680756i	−0.383602	−	0.923499i	$-0.625317\pi$
$463$	−5.46676	+	1.46481i	−0.254062	+	0.0680756i	0.129540	+	0.991574i	$0.458650\pi$
$464$	−2.53658	−	1.46449i	−0.117758	−	0.0679874i
$465$	−13.5284	−	26.8869i	−0.627363	−	1.24685i
$466$	1.03505	+	1.79276i	0.0479478	+	0.0830481i
$467$	−29.7396	−	29.7396i	−1.37618	−	1.37618i	−0.850972	−	0.525211i	$-0.823986\pi$
$467$	−29.7396	−	29.7396i	−1.37618	−	1.37618i	−0.525211	−	0.850972i	$-0.676014\pi$
$468$	−13.4581	+	6.75592i	−0.622103	+	0.312293i
$469$	32.1410	+	1.79585i	1.48413	+	0.0829248i
$470$	2.94919	+	2.39833i	0.136036	+	0.110627i
$471$	−1.06413	+	6.59068i	−0.0490323	+	0.303682i
$472$	29.9836	−	8.03407i	1.38010	−	0.369798i
$473$	−7.19114	+	1.92686i	−0.330649	+	0.0885971i
$474$	−2.79651	+	17.3202i	−0.128448	+	0.795544i
$475$	−20.1174	−	6.62875i	−0.923049	−	0.304148i
$476$	8.95563	+	0.500389i	0.410480	+	0.0229353i
$477$	0.703303	−	12.0382i	0.0322020	−	0.551191i
$478$	−20.6448	−	20.6448i	−0.944271	−	0.944271i
$479$	−3.82145	−	6.61895i	−0.174607	−	0.302427i	0.765418	−	0.643533i	$-0.222532\pi$
$479$	−3.82145	−	6.61895i	−0.174607	−	0.302427i	−0.940025	+	0.341105i	$0.889199\pi$
$480$	−5.56182	+	16.8268i	−0.253861	+	0.768037i
$481$	−1.18794	−	0.685858i	−0.0541655	−	0.0312725i
$482$	14.2961	−	3.83063i	0.651171	−	0.174481i
$483$	21.9790	+	11.3781i	1.00008	+	0.517723i
$484$	−6.35701	+	3.67022i	−0.288955	+	0.166828i
$485$	−3.35010	−	1.49988i	−0.152120	−	0.0681059i
$486$	−11.4497	−	11.7983i	−0.519370	−	0.535180i
$487$	23.0312	−	23.0312i	1.04365	−	1.04365i	0.0446424	−	0.999003i	$-0.485785\pi$
$487$	23.0312	−	23.0312i	1.04365	−	1.04365i	0.999003	−	0.0446424i	$-0.0142148\pi$
$488$	4.72130	+	1.26507i	0.213723	+	0.0572669i
$489$	27.2492	−	10.3664i	1.23225	−	0.468783i
$490$	14.3701	−	8.12533i	0.649173	−	0.367065i
$491$	−7.36626	+	12.7587i	−0.332435	+	0.575794i	−0.982989	−	0.183666i	$-0.941203\pi$
$491$	−7.36626	+	12.7587i	−0.332435	+	0.575794i	0.650554	+	0.759460i	$0.274537\pi$
$492$	5.33934	−	0.545007i	0.240716	−	0.0245708i
$493$	−7.52090	−	2.01522i	−0.338724	−	0.0907609i
$494$		−	25.2645i		−	1.13670i
$495$	9.83608	+	5.11209i	0.442099	+	0.229771i
$496$		−	11.1651i		−	0.501326i
$497$	1.79407	−	5.45732i	0.0804750	−	0.244794i
$498$	−10.4625	+	7.55365i	−0.468837	+	0.338487i
$499$	7.29737	+	4.21314i	0.326675	+	0.188606i	0.654364	−	0.756180i	$-0.272936\pi$
$499$	7.29737	+	4.21314i	0.326675	+	0.188606i	−0.327689	+	0.944786i	$0.606270\pi$
$500$	8.35680	−	5.35348i	0.373728	−	0.239415i
$501$	6.25340	−	38.7305i	0.279381	−	1.73035i
$502$	2.44883	−	9.13917i	0.109297	−	0.407901i
$503$	17.3211	−	17.3211i	0.772311	−	0.772311i	−0.206199	−	0.978510i	$-0.566110\pi$
$503$	17.3211	−	17.3211i	0.772311	−	0.772311i	0.978510	+	0.206199i	$0.0661096\pi$
$504$	−22.4847	−	8.87584i	−1.00155	−	0.395361i
$505$	−2.50633	−	6.56983i	−0.111530	−	0.292354i
$506$	−4.70631	−	8.15156i	−0.209221	−	0.362381i
$507$	3.33755	+	32.6975i	0.148226	+	1.45214i
$508$	17.2848	−	4.63145i	0.766889	−	0.205487i
$509$	−5.77440	+	10.0016i	−0.255946	+	0.443311i	−0.965152	−	0.261690i	$-0.915720\pi$
$509$	−5.77440	+	10.0016i	−0.255946	+	0.443311i	0.709206	+	0.705001i	$0.249054\pi$
$510$	0.895404	−	15.5745i	0.0396491	−	0.689651i
$511$	−4.70460	−	9.31274i	−0.208119	−	0.411971i
$512$	−10.8364	+	10.8364i	−0.478906	+	0.478906i
$513$	−20.9953	+	6.61360i	−0.926964	+	0.291997i
$514$	−2.47170			−0.109022
$515$	−29.5773	+	3.04680i	−1.30333	+	0.134258i
$516$	2.46293	+	6.47411i	0.108425	+	0.285007i
$517$	−2.57283	+	0.689386i	−0.113153	+	0.0303192i
$518$	−0.138444	−	0.662580i	−0.00608287	−	0.0291121i
$519$	−15.6987	+	19.2678i	−0.689095	+	0.845763i
$520$	29.8768	+	24.2963i	1.31018	+	1.06546i
$521$			25.2473i			1.10610i	0.833147	+	0.553051i	$0.186537\pi$
$521$			25.2473i			1.10610i	−0.833147	+	0.553051i	$0.813463\pi$
$522$	5.38868	+	3.54557i	0.235856	+	0.155185i
$523$	−14.1260	+	14.1260i	−0.617687	+	0.617687i	−0.944938	−	0.327250i	$-0.893878\pi$
$523$	−14.1260	+	14.1260i	−0.617687	+	0.617687i	0.327250	+	0.944938i	$0.393878\pi$
$524$	0.729997	+	1.26439i	0.0318901	+	0.0552352i
$525$	11.2456	+	19.9634i	0.490797	+	0.871274i
$526$	14.6231	−	25.3280i	0.637599	−	1.10435i
$527$	−7.68186	−	28.6691i	−0.334627	−	1.24884i
$528$	2.40702	+	3.33396i	0.104752	+	0.145092i
$529$	5.34204	−	3.08423i	0.232263	−	0.134097i
$530$	−8.85679	+	3.37878i	−0.384714	+	0.146765i
$531$	−29.9465	+	6.17788i	−1.29957	+	0.268097i
$532$	−7.41664	+	6.63170i	−0.321552	+	0.287520i
$533$	5.10895	−	19.0669i	0.221293	−	0.825878i
$534$	−18.4458	+	22.6395i	−0.798226	+	0.979707i
$535$	19.4946	+	26.9491i	0.842823	+	1.16511i
$536$	−18.5277	+	32.0909i	−0.800274	+	1.38612i
$537$	10.6539	+	4.78173i	0.459748	+	0.206347i
$538$	−4.46860	−	1.19736i	−0.192655	−	0.0516218i
$539$	−1.28862	+	11.4954i	−0.0555047	+	0.495142i
$540$	3.80247	−	9.58732i	0.163632	−	0.412573i
$541$	−24.1217			−1.03707			−0.518537	−	0.855055i	$-0.673523\pi$
$541$	−24.1217			−1.03707			−0.518537	+	0.855055i	$0.673523\pi$
$542$	7.90060	−	29.4854i	0.339360	−	1.26651i
$543$	−27.3419	−	12.2718i	−1.17335	−	0.526632i
$544$	−8.73800	+	15.1347i	−0.374639	+	0.648893i
$545$	−31.0602	−	4.98538i	−1.33047	−	0.213550i
$546$	−18.4180	+	20.1916i	−0.788216	+	0.864120i
$547$	14.1506	+	3.79164i	0.605036	+	0.162119i	0.548316	−	0.836271i	$-0.315269\pi$
$547$	14.1506	+	3.79164i	0.605036	+	0.162119i	0.0567198	+	0.998390i	$0.481936\pi$
$548$	9.32917	+	9.32917i	0.398522	+	0.398522i
$549$	−4.57011	−	1.51527i	−0.195047	−	0.0646703i
$550$	0.492089	−	8.70022i	0.0209827	−	0.370978i
$551$	7.47946	−	4.31827i	0.318636	−	0.183964i
$552$	−23.0984	+	16.6764i	−0.983134	+	0.709795i
$553$	−5.19722	−	24.8734i	−0.221008	−	1.05772i
$554$	−21.7198	−	12.5399i	−0.922785	−	0.532770i
$555$	0.919951	−	0.190673i	0.0390497	−	0.00809363i
$556$	−2.63221	+	1.51971i	−0.111631	+	0.0644500i
$557$	−21.0952	+	21.0952i	−0.893834	+	0.893834i	−0.994882	−	0.101047i	$-0.967781\pi$
$557$	−21.0952	+	21.0952i	−0.893834	+	0.893834i	0.101047	+	0.994882i	$0.467781\pi$
$558$	−1.43410	+	24.5469i	−0.0607102	+	1.03915i
$559$	25.4758			1.07751
$560$	0.397915	+	8.49021i	0.0168150	+	0.358777i
$561$	8.47448	+	6.90467i	0.357793	+	0.291515i
$562$	−7.65713	−	28.5768i	−0.322997	−	1.20544i
$563$	1.46428	+	5.46478i	0.0617122	+	0.230313i	0.989893	−	0.141817i	$-0.0452943\pi$
$563$	1.46428	+	5.46478i	0.0617122	+	0.230313i	−0.928181	+	0.372130i	$0.878628\pi$
$564$	0.881181	+	2.31629i	0.0371044	+	0.0975334i
$565$	0.534721	+	5.19089i	0.0224959	+	0.218382i
$566$			12.9414i			0.543968i
$567$	21.6009	+	10.0200i	0.907153	+	0.420801i
$568$	4.67589	+	4.67589i	0.196196	+	0.196196i
$569$	−16.5159	+	9.53547i	−0.692383	+	0.399748i	−0.804504	−	0.593947i	$-0.797569\pi$
$569$	−16.5159	+	9.53547i	−0.692383	+	0.399748i	0.112121	+	0.993695i	$0.464236\pi$
$570$	11.5133	+	12.9179i	0.482238	+	0.541069i
$571$	−12.7189	+	22.0298i	−0.532271	+	0.921920i	0.467019	+	0.884247i	$0.345328\pi$
$571$	−12.7189	+	22.0298i	−0.532271	+	0.921920i	−0.999290	+	0.0376728i	$0.988006\pi$
$572$	−8.01212	+	2.14684i	−0.335004	+	0.0897639i
$573$	22.4498	−	2.29154i	0.937855	−	0.0957305i
$574$	8.69423	−	4.39215i	0.362890	−	0.183325i
$575$	26.9608	+	1.52492i	1.12434	+	0.0635935i
$576$	17.2576	−	15.3525i	0.719067	−	0.639685i
$577$	−21.4726	−	21.4726i	−0.893914	−	0.893914i	0.100975	−	0.994889i	$-0.467804\pi$
$577$	−21.4726	−	21.4726i	−0.893914	−	0.893914i	−0.994889	+	0.100975i	$0.967804\pi$
$578$	−0.658916	+	2.45911i	−0.0274073	+	0.102285i
$579$	−3.36602	+	20.8475i	−0.139887	+	0.866391i
$580$	−0.641308	+	3.99551i	−0.0266289	+	0.165904i
$581$	10.2334	−	15.6394i	0.424553	−	0.648834i
$582$	1.75526	+	2.43120i	0.0727578	+	0.100776i
$583$	1.71915	−	6.41595i	0.0711999	−	0.265722i
$584$	12.0102			0.496986
$585$	−27.9841	−	25.6088i	−1.15700	−	1.05879i
$586$			21.7862i			0.899981i
$587$	4.52167	−	16.8751i	0.186629	−	0.696509i	−0.807647	−	0.589666i	$-0.799259\pi$
$587$	4.52167	−	16.8751i	0.186629	−	0.696509i	0.994276	−	0.106843i	$-0.0340741\pi$
$588$	10.7620	+	0.106664i	0.443816	+	0.00439876i
$589$	28.5111	+	16.4609i	1.17478	+	0.678260i
$590$	14.0882	+	19.4754i	0.580001	+	0.801788i
$591$	−14.6423	−	38.4891i	−0.602305	−	1.58323i
$592$	0.336633	+	0.0902006i	0.0138355	+	0.00370722i
$593$	11.9423	−	11.9423i	0.490410	−	0.490410i	−0.418026	−	0.908435i	$-0.637278\pi$
$593$	11.9423	−	11.9423i	0.490410	−	0.490410i	0.908435	+	0.418026i	$0.137278\pi$
$594$	−4.86373	−	7.63904i	−0.199561	−	0.313434i
$595$	6.86324	+	21.5270i	0.281365	+	0.882519i
$596$	2.36132	+	4.08992i	0.0967234	+	0.167530i
$597$	1.21818	−	2.71414i	0.0498567	−	0.111083i
$598$	8.33644	+	31.1120i	0.340902	+	1.27227i
$599$	11.7362	+	6.77589i	0.479527	+	0.276855i	0.720219	−	0.693746i	$-0.244041\pi$
$599$	11.7362	+	6.77589i	0.479527	+	0.276855i	−0.240692	+	0.970601i	$0.577374\pi$
$600$	−26.3482	+	1.19231i	−1.07566	+	0.0486758i
$601$	33.2596	−	19.2025i	1.35669	−	0.783284i	0.367512	−	0.930019i	$-0.380210\pi$
$601$	33.2596	−	19.2025i	1.35669	−	0.783284i	0.989176	+	0.146734i	$0.0468762\pi$
$602$	8.37951	+	9.37133i	0.341523	+	0.381947i
$603$	20.0632	−	30.4928i	0.817038	−	1.24176i
$604$			11.8030i			0.480257i
$605$	−14.3458	−	11.6663i	−0.583242	−	0.474302i
$606$	−0.915640	+	5.67103i	−0.0371954	+	0.230370i
$607$	−8.16951	+	2.18901i	−0.331590	+	0.0888494i	−0.420773	−	0.907166i	$-0.638241\pi$
$607$	−8.16951	+	2.18901i	−0.331590	+	0.0888494i	0.0891828	+	0.996015i	$0.471574\pi$
$608$	−5.01709	−	18.7240i	−0.203470	−	0.759360i
$609$	−9.12568	−	2.00137i	−0.369791	−	0.0810997i
$610$	0.387836	+	3.76498i	0.0157030	+	0.152439i
$611$	9.11466			0.368740
$612$	5.59033	−	8.49638i	0.225976	−	0.343446i
$613$	−20.5999	−	20.5999i	−0.832023	−	0.832023i	0.155770	−	0.987793i	$-0.450214\pi$
$613$	−20.5999	−	20.5999i	−0.832023	−	0.832023i	−0.987793	+	0.155770i	$0.950214\pi$
$614$	−2.40032	−	4.15747i	−0.0968689	−	0.167782i
$615$	6.07671	+	12.0772i	0.245037	+	0.486998i
$616$	−11.1420	−	7.29059i	−0.448925	−	0.293746i
$617$	7.22256	+	26.9550i	0.290769	+	1.08517i	0.944520	+	0.328455i	$0.106528\pi$
$617$	7.22256	+	26.9550i	0.290769	+	1.08517i	−0.653750	+	0.756710i	$0.726805\pi$
$618$	22.1610	+	9.94644i	0.891447	+	0.400104i
$619$	−5.03250	−	8.71655i	−0.202273	−	0.350348i	0.746987	−	0.664838i	$-0.231500\pi$
$619$	−5.03250	−	8.71655i	−0.202273	−	0.350348i	−0.949261	+	0.314491i	$0.898166\pi$
$620$	−14.4124	+	5.49818i	−0.578814	+	0.220812i
$621$	23.6724	−	15.0720i	0.949940	−	0.604821i
$622$	−0.159942	−	0.159942i	−0.00641310	−	0.00641310i
$623$	13.2090	−	40.1800i	0.529207	−	1.60978i
$624$	−5.00328	−	13.1517i	−0.200292	−	0.526490i
$625$	20.1030	+	14.8616i	0.804122	+	0.594464i
$626$	−20.6981	−	11.9500i	−0.827261	−	0.477619i
$627$	−12.0623	+	1.23125i	−0.481723	+	0.0491713i
$628$	3.30488	+	0.885539i	0.131879	+	0.0353369i
$629$	0.926451			0.0369400
$630$	0.215690	−	18.7173i	0.00859328	−	0.745713i
$631$	−20.7694			−0.826817			−0.413409	−	0.910546i	$-0.635662\pi$
$631$	−20.7694			−0.826817			−0.413409	+	0.910546i	$0.635662\pi$
$632$	28.2536	+	7.57052i	1.12387	+	0.301139i
$633$	4.48803	+	6.21635i	0.178383	+	0.247078i
$634$	12.3664	+	7.13974i	0.491132	+	0.283555i
$635$	26.4198	+	36.5226i	1.04844	+	1.44935i
$636$	−6.10107	−	0.985075i	−0.241923	−	0.0390608i
$637$	14.4404	−	36.8551i	0.572151	−	1.46025i
$638$	2.51244	+	2.51244i	0.0994683	+	0.0994683i
$639$	−4.32950	−	4.86677i	−0.171272	−	0.192526i
$640$	2.10500	+	0.942432i	0.0832073	+	0.0372529i
$641$	6.00825	+	10.4066i	0.237312	+	0.411036i	0.959942	−	0.280199i	$-0.0904005\pi$
$641$	6.00825	+	10.4066i	0.237312	+	0.411036i	−0.722630	+	0.691235i	$0.757067\pi$
$642$	−2.75924	−	27.0318i	−0.108899	−	1.06686i
$643$	1.81824	+	6.78576i	0.0717043	+	0.267604i	0.992466	−	0.122522i	$-0.0390981\pi$
$643$	1.81824	+	6.78576i	0.0717043	+	0.267604i	−0.920762	+	0.390126i	$0.872431\pi$
$644$	6.94498	−	10.6138i	0.273671	−	0.418244i
$645$	−13.0259	+	11.6095i	−0.512893	+	0.457125i
$646$	8.53177	+	14.7775i	0.335678	+	0.581411i
$647$	−3.58802	−	3.58802i	−0.141060	−	0.141060i	0.633051	−	0.774110i	$-0.281802\pi$
$647$	−3.58802	−	3.58802i	−0.141060	−	0.141060i	−0.774110	+	0.633051i	$0.781802\pi$
$648$	−21.5068	+	16.9929i	−0.844867	+	0.667543i
$649$	−16.8427			−0.661136
$650$	−9.33202	+	28.3215i	−0.366032	+	1.11086i
$651$	−10.7862	−	33.9404i	−0.422745	−	1.33023i
$652$	−3.86718	−	14.4325i	−0.151450	−	0.565221i
$653$	23.1868	−	6.21290i	0.907371	−	0.243129i	0.225192	−	0.974314i	$-0.427699\pi$
$653$	23.1868	−	6.21290i	0.907371	−	0.243129i	0.682179	+	0.731185i	$0.261032\pi$
$654$	19.9234	+	16.2328i	0.779067	+	0.634753i
$655$	−2.32040	+	2.85335i	−0.0906654	+	0.111490i
$656$			5.01516i			0.195809i
$657$	−11.8105	−	0.690000i	−0.460770	−	0.0269195i
$658$	2.99800	+	3.35285i	0.116874	+	0.130708i
$659$	27.0651	−	15.6260i	1.05431	−	0.608704i	0.130454	−	0.991454i	$-0.458357\pi$
$659$	27.0651	−	15.6260i	1.05431	−	0.608704i	0.923852	+	0.382751i	$0.125023\pi$
$660$	3.11829	−	4.74888i	0.121379	−	0.184850i
$661$	3.11444	+	1.79812i	0.121138	+	0.0699390i	0.559345	−	0.828935i	$-0.311053\pi$
$661$	3.11444	+	1.79812i	0.121138	+	0.0699390i	−0.438207	+	0.898874i	$0.644386\pi$
$662$	−1.25865	−	4.69733i	−0.0489186	−	0.182567i
$663$	−21.8959	−	30.3279i	−0.850367	−	1.17784i
$664$	10.7571	+	18.6318i	0.417455	+	0.723053i
$665$	−22.2673	−	11.5012i	−0.863488	−	0.445997i
$666$	−0.728519	−	0.241550i	−0.0282296	−	0.00935986i
$667$	−7.78571	+	7.78571i	−0.301464	+	0.301464i
$668$	−19.4213	−	5.20392i	−0.751433	−	0.201346i
$669$	23.9996	−	29.4561i	0.927880	−	1.13884i
$670$	−28.3312	−	4.54736i	−1.09453	−	0.175680i
$671$	−2.29679	−	1.32605i	−0.0886667	−	0.0511917i
$672$	−9.64021	+	18.6219i	−0.371879	+	0.718354i
$673$	−11.0796	+	41.3495i	−0.427086	+	1.59391i	0.332238	+	0.943195i	$0.392196\pi$
$673$	−11.0796	+	41.3495i	−0.427086	+	1.59391i	−0.759325	+	0.650712i	$0.774471\pi$
$674$		−	15.5359i		−	0.598422i
$675$	25.9785	+	0.341253i	0.999914	+	0.0131348i
$676$	16.8445			0.647865
$677$	−8.73095	+	32.5844i	−0.335558	+	1.25232i	0.567705	+	0.823232i	$0.307831\pi$
$677$	−8.73095	+	32.5844i	−0.335558	+	1.25232i	−0.903263	+	0.429087i	$0.858835\pi$
$678$	1.74563	−	3.88931i	0.0670403	−	0.149368i
$679$	−3.63417	−	2.37796i	−0.139467	−	0.0912576i
$680$	−25.6800	−	4.12183i	−0.984784	−	0.158065i
$681$	24.8408	+	20.2393i	0.951901	+	0.775571i
$682$	−3.50550	+	13.0827i	−0.134233	+	0.500963i
$683$	−6.71355	−	6.71355i	−0.256887	−	0.256887i	0.566900	−	0.823787i	$-0.308143\pi$
$683$	−6.71355	−	6.71355i	−0.256887	−	0.256887i	−0.823787	+	0.566900i	$0.808143\pi$
$684$	2.27930	+	11.0486i	0.0871512	+	0.422455i
$685$	−13.5805	+	30.3331i	−0.518884	+	1.15897i
$686$	18.3070	−	6.81045i	0.698963	−	0.260024i
$687$	22.6050	+	31.3101i	0.862435	+	1.19456i
$688$	−6.25202	+	1.67522i	−0.238356	+	0.0638673i
$689$	−11.3648	+	19.6844i	−0.432964	+	0.749916i
$690$	−18.4405	−	12.1087i	−0.702017	−	0.460971i
$691$	12.2627	−	7.07990i	0.466497	−	0.269332i	−0.248275	−	0.968689i	$-0.579864\pi$
$691$	12.2627	−	7.07990i	0.466497	−	0.269332i	0.714772	+	0.699358i	$0.246530\pi$
$692$	9.00671	+	9.00671i	0.342384	+	0.342384i
$693$	10.5379	+	7.80947i	0.400301	+	0.296657i
$694$			1.78099i			0.0676056i
$695$	−5.94010	−	4.83060i	−0.225321	−	0.183235i
$696$	6.79291	−	8.33731i	0.257485	−	0.316025i
$697$	3.45056	+	12.8777i	0.130699	+	0.487776i
$698$	3.44667	+	12.8632i	0.130459	+	0.486878i
$699$	−3.17750	+	1.20881i	−0.120184	+	0.0457214i
$700$	10.7636	−	4.69461i	0.406825	−	0.177440i
$701$	−8.79703			−0.332259			−0.166130	−	0.986104i	$-0.553127\pi$
$701$	−8.79703			−0.332259			−0.166130	+	0.986104i	$0.553127\pi$
$702$	9.31069	+	29.5574i	0.351409	+	1.11557i
$703$	−0.726643	+	0.726643i	−0.0274059	+	0.0274059i
$704$	11.0185	−	6.36155i	0.415277	−	0.239760i
$705$	−4.66036	+	4.15363i	−0.175519	+	0.156435i
$706$	5.92954	+	3.42342i	0.223161	+	0.128842i
$707$	−1.70168	−	8.14410i	−0.0639984	−	0.306291i
$708$	1.59130	+	15.5897i	0.0598049	+	0.585899i
$709$	−5.53800	+	3.19736i	−0.207984	+	0.120080i	−0.600374	−	0.799719i	$-0.704982\pi$
$709$	−5.53800	+	3.19736i	−0.207984	+	0.120080i	0.392390	+	0.919799i	$0.371648\pi$
$710$	−2.09239	+	4.67353i	−0.0785261	+	0.175394i
$711$	−27.3488	−	9.06783i	−1.02566	−	0.340070i
$712$	34.4266	+	34.4266i	1.29019	+	1.29019i
$713$	−40.5416	−	10.8631i	−1.51829	−	0.406826i
$714$	3.95418	−	18.0299i	0.147982	−	0.674754i
$715$	−12.2465	−	16.9295i	−0.457994	−	0.633127i
$716$	2.99242	−	5.18302i	0.111832	−	0.193699i
$717$	38.8751	−	28.0667i	1.45182	−	1.04817i
$718$	−1.13300	+	4.22841i	−0.0422831	+	0.157803i
$719$	34.9771			1.30443			0.652214	−	0.758035i	$-0.273841\pi$
$719$	34.9771			1.30443			0.652214	+	0.758035i	$0.273841\pi$
$720$	8.55156	+	4.44449i	0.318698	+	0.165636i
$721$	−35.1267	−	1.96268i	−1.30819	−	0.0730939i
$722$	1.07377	+	0.287716i	0.0399616	+	0.0107077i
$723$	2.46821	+	24.1807i	0.0917939	+	0.899289i
$724$	−7.67970	+	13.3016i	−0.285414	+	0.494351i
$725$	−9.97951	+	2.07806i	−0.370630	+	0.0771772i
$726$	5.37114	+	14.1187i	0.199342	+	0.523993i
$727$	−8.33481	+	31.1060i	−0.309121	+	1.15366i	0.620218	+	0.784429i	$0.287044\pi$
$727$	−8.33481	+	31.1060i	−0.309121	+	1.15366i	−0.929339	+	0.369227i	$0.879623\pi$
$728$	30.3713	+	33.9661i	1.12563	+	1.25887i
$729$	22.1254	−	15.4747i	0.819459	−	0.573137i
$730$	3.31487	+	8.68926i	0.122689	+	0.321604i
$731$	−14.9010	+	8.60311i	−0.551134	+	0.318198i
$732$	−1.01040	+	2.25121i	−0.0373455	+	0.0832071i
$733$	−2.89546	−	10.8060i	−0.106946	−	0.399129i	0.891613	−	0.452799i	$-0.149575\pi$
$733$	−2.89546	−	10.8060i	−0.106946	−	0.399129i	−0.998559	+	0.0536706i	$0.982908\pi$
$734$	7.59829	−	13.1606i	0.280458	−	0.485767i
$735$	9.41174	+	25.4248i	0.347157	+	0.937807i
$736$	12.3566	+	21.4023i	0.455470	+	0.788898i
$737$	14.2171	−	14.2171i	0.523692	−	0.523692i
$738$	0.644173	−	11.0261i	0.0237123	−	0.405875i
$739$		−	26.1661i		−	0.962534i	−0.876574	−	0.481267i	$-0.840177\pi$
$739$		−	26.1661i		−	0.962534i	0.876574	−	0.481267i	$-0.159823\pi$
$740$	−0.0493385	−	0.478960i	−0.00181372	−	0.0176069i
$741$	40.9607	+	6.61349i	1.50473	+	0.242953i
$742$	−10.9791	+	2.29404i	−0.403054	+	0.0842168i
$743$	−19.6280	+	5.25930i	−0.720081	+	0.192945i	−0.600208	−	0.799844i	$-0.704915\pi$
$743$	−19.6280	+	5.25930i	−0.720081	+	0.192945i	−0.119873	+	0.992789i	$0.538249\pi$
$744$	40.4703	+	6.53431i	1.48371	+	0.239560i
$745$	−7.50577	+	9.22972i	−0.274990	+	0.338151i
$746$	−35.4329			−1.29729
$747$	−9.50776	−	18.9399i	−0.347871	−	0.692976i
$748$	3.96138	−	3.96138i	0.144842	−	0.144842i
$749$	17.7454	+	35.1270i	0.648404	+	1.28351i
$750$	−8.13484	−	18.7336i	−0.297042	−	0.684053i
$751$	12.3284	−	21.3534i	0.449869	−	0.779196i	−0.548508	−	0.836145i	$-0.684804\pi$
$751$	12.3284	−	21.3534i	0.449869	−	0.779196i	0.998377	+	0.0569493i	$0.0181373\pi$
$752$	−2.23683	+	0.599357i	−0.0815689	+	0.0218563i
$753$	14.1761	+	6.36259i	0.516604	+	0.231866i
$754$	−6.07931	−	10.5297i	−0.221395	−	0.383468i
$755$	−27.7792	+	10.5975i	−1.01099	+	0.385682i
$756$	6.23287	−	10.4918i	0.226687	−	0.381582i
$757$	18.7292	−	18.7292i	0.680725	−	0.680725i	−0.279439	−	0.960164i	$-0.590148\pi$
$757$	18.7292	−	18.7292i	0.680725	−	0.680725i	0.960164	+	0.279439i	$0.0901484\pi$
$758$	−1.68786	+	6.29917i	−0.0613057	+	0.228796i
$759$	14.4479	−	5.49638i	0.524425	−	0.199506i
$760$	23.3745	−	16.9087i	0.847882	−	0.613344i
$761$	−19.5602	−	11.2931i	−0.709056	−	0.409374i	0.101655	−	0.994820i	$-0.467586\pi$
$761$	−19.5602	−	11.2931i	−0.709056	−	0.409374i	−0.810711	+	0.585446i	$0.800919\pi$
$762$	−3.73944	−	36.6347i	−0.135466	−	1.32713i
$763$	−35.3596	−	11.6243i	−1.28010	−	0.420827i
$764$		−	11.5653i		−	0.418418i
$765$	25.0162	+	5.52863i	0.904462	+	0.199888i
$766$		−	34.1526i		−	1.23398i
$767$	55.6712	+	14.9171i	2.01017	+	0.538624i
$768$	−16.7152	−	23.1521i	−0.603158	−	0.835431i
$769$	−3.17707	+	5.50285i	−0.114568	+	0.198438i	−0.917607	−	0.397489i	$-0.869882\pi$
$769$	−3.17707	+	5.50285i	−0.114568	+	0.198438i	0.803039	+	0.595927i	$0.203215\pi$
$770$	2.19942	−	10.0734i	0.0792615	−	0.363019i
$771$	0.647017	−	4.00730i	0.0233017	−	0.144319i
$772$	10.4539	+	2.80112i	0.376245	+	0.100814i
$773$	−28.5854	+	28.5854i	−1.02815	+	1.02815i	−0.0285530	+	0.999592i	$0.509090\pi$
$773$	−28.5854	+	28.5854i	−1.02815	+	1.02815i	−0.999592	+	0.0285530i	$0.990910\pi$
$774$	13.9606	−	2.88002i	0.501802	−	0.103520i
$775$	−25.8807	−	28.9838i	−0.929661	−	1.04113i
$776$	4.32951	−	2.49964i	0.155420	−	0.0897319i
$777$	1.11046	−	0.0510120i	0.0398377	−	0.00183005i
$778$	−7.58454	+	2.03227i	−0.271919	+	0.0728605i
$779$	−12.8067	−	7.39396i	−0.458848	−	0.264916i
$780$	−14.5130	+	12.9350i	−0.519648	+	0.463146i
$781$	−1.79400	−	3.10730i	−0.0641944	−	0.111188i
$782$	−15.3825	−	15.3825i	−0.550077	−	0.550077i
$783$	−7.15894	+	7.80841i	−0.255840	+	0.279050i
$784$	−1.12033	+	9.99418i	−0.0400119	+	0.356935i
$785$	0.883154	+	8.57335i	0.0315211	+	0.305996i
$786$	2.80817	−	1.06831i	0.100164	−	0.0381052i
$787$	30.1830	−	8.08752i	1.07591	−	0.288289i	0.322990	−	0.946402i	$-0.395312\pi$
$787$	30.1830	−	8.08752i	1.07591	−	0.288289i	0.752919	+	0.658113i	$0.228645\pi$
$788$	−20.3857	+	5.46233i	−0.726210	+	0.194587i
$789$	37.2357	+	30.3382i	1.32563	+	1.08007i
$790$	2.32092	+	22.5307i	0.0825746	+	0.801605i
$791$	−0.344455	+	6.16482i	−0.0122474	+	0.219196i
$792$	−13.4934	+	6.77362i	−0.479467	+	0.240690i
$793$	6.41727	+	6.41727i	0.227884	+	0.227884i
$794$	−6.08038	−	10.5315i	−0.215785	−	0.373750i
$795$	−3.15949	−	15.2437i	−0.112056	−	0.540640i
$796$	−1.32041	−	0.762339i	−0.0468007	−	0.0270204i
$797$	44.3610	−	11.8865i	1.57135	−	0.421042i	0.635114	−	0.772418i	$-0.280953\pi$
$797$	44.3610	−	11.8865i	1.57135	−	0.421042i	0.936234	+	0.351376i	$0.114286\pi$
$798$	11.0400	+	17.2428i	0.390813	+	0.610389i
$799$	−5.33125	+	3.07800i	−0.188606	+	0.108892i
$800$	−1.29200	+	22.8428i	−0.0456791	+	0.807614i
$801$	−31.8763	−	35.8320i	−1.12629	−	1.26606i
$802$	11.1835	−	11.1835i	0.394903	−	0.394903i
$803$	−6.29459	−	1.68663i	−0.222131	−	0.0595199i
$804$	−14.5026	−	11.8162i	−0.511468	−	0.416724i
$805$	31.2161	+	6.81570i	1.10022	+	0.240222i
$806$	23.1738	−	40.1383i	0.816264	−	1.41381i
$807$	3.11099	−	6.93140i	0.109512	−	0.243997i
$808$	9.25085	+	2.47876i	0.325444	+	0.0872024i
$809$			35.4178i			1.24522i	0.782531	+	0.622611i	$0.213928\pi$
$809$			35.4178i			1.24522i	−0.782531	+	0.622611i	$0.786072\pi$
$810$	−18.2301	−	10.8698i	−0.640542	−	0.381927i
$811$		−	20.9701i		−	0.736358i	−0.929755	−	0.368179i	$-0.879981\pi$
$811$		−	20.9701i		−	0.736358i	0.929755	−	0.368179i	$-0.120019\pi$
$812$	−1.49532	+	4.54857i	−0.0524755	+	0.159624i
$813$	45.7358	+	20.5274i	1.60403	+	0.719929i
$814$	−0.366131	−	0.211386i	−0.0128329	−	0.00740907i
$815$	30.4957	−	22.0601i	1.06822	−	0.772731i
$816$	7.36777	+	6.00297i	0.257924	+	0.210146i
$817$	4.93964	−	18.4350i	0.172816	−	0.644959i
$818$	1.33112	−	1.33112i	0.0465416	−	0.0465416i
$819$	−27.9148	−	35.1461i	−0.975423	−	1.22810i
$820$	6.47379	−	2.46969i	0.226075	−	0.0862453i
$821$	−6.14884	−	10.6501i	−0.214596	−	0.371691i	0.738551	−	0.674197i	$-0.235510\pi$
$821$	−6.14884	−	10.6501i	−0.214596	−	0.371691i	−0.953148	+	0.302506i	$0.902177\pi$
$822$	22.0131	−	15.8928i	0.767795	−	0.554326i
$823$	−2.83277	+	0.759038i	−0.0987441	+	0.0264584i	−0.307853	−	0.951434i	$-0.599610\pi$
$823$	−2.83277	+	0.759038i	−0.0987441	+	0.0264584i	0.209109	+	0.977892i	$0.432944\pi$
$824$	20.2488	−	35.0719i	0.705400	−	1.22179i
$825$	13.9766	+	3.07527i	0.486603	+	0.107067i
$826$	12.8241	+	25.3853i	0.446209	+	0.883268i
$827$	7.67012	−	7.67012i	0.266716	−	0.266716i	−0.561059	−	0.827776i	$-0.689606\pi$
$827$	7.67012	−	7.67012i	0.266716	−	0.266716i	0.827776	+	0.561059i	$0.189606\pi$
$828$	−6.45252	−	12.8538i	−0.224241	−	0.446699i
$829$	−34.2748			−1.19041			−0.595206	−	0.803573i	$-0.702930\pi$
$829$	−34.2748			−1.19041			−0.595206	+	0.803573i	$0.702930\pi$
$830$	−10.5109	+	12.9251i	−0.364839	+	0.448636i
$831$	26.0162	−	31.9312i	0.902493	−	1.10768i
$832$	−42.0544	+	11.2684i	−1.45797	+	0.390663i
$833$	3.99953	+	26.4334i	0.138575	+	0.915862i
$834$	2.22400	+	5.84604i	0.0770107	+	0.202432i
$835$	−5.18990	−	50.3818i	−0.179604	−	1.74353i
$836$			6.21406i			0.214918i
$837$	−39.4219	−	8.75072i	−1.36262	−	0.302469i
$838$	20.1342	−	20.1342i	0.695523	−	0.695523i
$839$	8.55522	+	14.8181i	0.295359	+	0.511577i	0.975068	−	0.221905i	$-0.0712275\pi$
$839$	8.55522	+	14.8181i	0.295359	+	0.511577i	−0.679709	+	0.733481i	$0.737894\pi$
$840$	−31.0076	−	3.52653i	−1.06986	−	0.121677i
$841$	−12.4218	+	21.5152i	−0.428339	+	0.741904i
$842$	2.27529	+	8.49151i	0.0784118	+	0.292637i
$843$	48.3352	−	4.93376i	1.66475	−	0.169928i
$844$	3.40298	−	1.96471i	0.117135	−	0.0676281i
$845$	15.1241	+	39.6447i	0.520284	+	1.36382i
$846$	4.99477	−	1.03041i	0.171724	−	0.0354261i
$847$	−14.5833	−	16.3094i	−0.501087	−	0.560397i
$848$	1.49464	−	5.57807i	0.0513262	−	0.191552i
$849$	−20.9816	−	3.38767i	−0.720086	−	0.116265i
$850$	−4.10570	−	19.7169i	−0.140824	−	0.676284i
$851$	0.655057	−	1.13459i	0.0224551	−	0.0388933i
$852$	−2.70664	+	1.95412i	−0.0927279	+	0.0669469i
$853$	−35.1478	−	9.41782i	−1.20344	−	0.322460i	−0.399253	−	0.916841i	$-0.630731\pi$
$853$	−35.1478	−	9.41782i	−1.20344	−	0.322460i	−0.804184	+	0.594381i	$0.797397\pi$
$854$	−0.249835	+	4.47138i	−0.00854917	+	0.153007i
$855$	−23.9572	+	15.2847i	−0.819319	+	0.522724i
$856$	−45.3016			−1.54838
$857$	−6.68219	+	24.9383i	−0.228259	+	0.851875i	0.752813	+	0.658234i	$0.228696\pi$
$857$	−6.68219	+	24.9383i	−0.228259	+	0.851875i	−0.981073	+	0.193641i	$0.937970\pi$
$858$	1.73336	+	16.9815i	0.0591761	+	0.579738i
$859$	18.6324	−	32.2723i	0.635729	−	1.10112i	−0.350631	−	0.936514i	$-0.614033\pi$
$859$	18.6324	−	32.2723i	0.635729	−	1.10112i	0.986360	−	0.164602i	$-0.0526339\pi$
$860$	5.24123	+	7.24543i	0.178725	+	0.247067i
$861$	4.84499	+	15.2455i	0.165117	+	0.519564i
$862$	−13.9600	−	3.74056i	−0.475478	−	0.127404i
$863$	−26.8339	−	26.8339i	−0.913437	−	0.913437i	0.0831038	−	0.996541i	$-0.473517\pi$
$863$	−26.8339	−	26.8339i	−0.913437	−	0.913437i	−0.996541	+	0.0831038i	$0.973517\pi$
$864$	12.7699	+	20.0566i	0.434441	+	0.682340i
$865$	−13.1111	+	29.2847i	−0.445791	+	0.995710i
$866$	−2.66951	+	1.54124i	−0.0907137	+	0.0523736i
$867$	−3.81440	−	1.71200i	−0.129544	−	0.0581427i
$868$	−17.8659	+	3.73301i	−0.606407	+	0.126707i
$869$	−13.7447	−	7.93548i	−0.466255	−	0.269193i
$870$	7.90684	+	2.61347i	0.268067	+	0.0886048i
$871$	−59.5840	+	34.4008i	−2.01893	+	1.16563i
$872$	30.2964	−	30.2964i	1.02597	−	1.02597i
$873$	−4.40112	+	2.20934i	−0.148955	+	0.0747748i
$874$	24.1299			0.816207
$875$	20.7133	+	21.1177i	0.700238	+	0.713909i
$876$	−0.966442	+	5.98566i	−0.0326530	+	0.202237i
$877$	−4.65866	−	17.3864i	−0.157312	−	0.587095i	−0.998896	−	0.0469700i	$-0.985043\pi$
$877$	−4.65866	−	17.3864i	−0.157312	−	0.587095i	0.841585	−	0.540125i	$-0.181623\pi$
$878$	2.94815	+	11.0026i	0.0994952	+	0.371321i
$879$	−35.3214	−	5.70298i	−1.19136	−	0.192357i
$880$	4.11867	+	3.34937i	0.138840	+	0.112907i
$881$		−	3.56449i		−	0.120091i	−0.998196	−	0.0600454i	$-0.980875\pi$
$881$		−	3.56449i		−	0.120091i	0.998196	−	0.0600454i	$-0.0191245\pi$
$882$	3.74681	−	21.8288i	0.126162	−	0.735014i
$883$	2.65050	+	2.65050i	0.0891963	+	0.0891963i	0.750297	−	0.661101i	$-0.229910\pi$
$883$	2.65050	+	2.65050i	0.0891963	+	0.0891963i	−0.661101	+	0.750297i	$0.729910\pi$
$884$	−16.6022	+	9.58530i	−0.558393	+	0.322388i
$885$	−35.2628	+	17.7427i	−1.18534	+	0.596415i
$886$	−4.93320	+	8.54455i	−0.165734	+	0.287060i
$887$	−0.0469953	+	0.0125923i	−0.00157795	+	0.000422810i	−0.259608	−	0.965714i	$-0.583593\pi$
$887$	−0.0469953	+	0.0125923i	−0.00157795	+	0.000422810i	0.258030	+	0.966137i	$0.416927\pi$
$888$	−0.523966	+	1.16742i	−0.0175832	+	0.0391759i
$889$	24.0494	+	47.6056i	0.806590	+	1.59664i
$890$	−15.4054	+	34.4092i	−0.516391	+	1.15340i
$891$	13.6582	−	5.88576i	0.457565	−	0.197181i
$892$	−13.7692	−	13.7692i	−0.461027	−	0.461027i
$893$	1.76729	−	6.59563i	0.0591402	−	0.220714i
$894$	9.08356	−	3.45564i	0.303800	−	0.115574i
$895$	14.8854	+	2.38921i	0.497563	+	0.0798626i
$896$	2.28349	+	1.49416i	0.0762861	+	0.0499165i
$897$	−52.6233	+	5.37147i	−1.75704	+	0.179348i
$898$	4.70862	−	17.5728i	0.157129	−	0.586412i
$899$	15.8437			0.528417
$900$	1.52597	−	13.2274i	0.0508657	−	0.440913i
$901$		−	15.3514i		−	0.511431i
$902$	1.57461	−	5.87653i	0.0524288	−	0.195667i
$903$	−17.3870	+	11.1324i	−0.578603	+	0.370462i
$904$	−6.15522	−	3.55372i	−0.204719	−	0.118195i
$905$	−38.2016	−	6.13164i	−1.26987	−	0.203823i
$906$	23.9788	+	3.87160i	0.796641	+	0.128625i
$907$	−19.8274	−	5.31274i	−0.658359	−	0.176407i	−0.0858535	−	0.996308i	$-0.527362\pi$
$907$	−19.8274	−	5.31274i	−0.658359	−	0.176407i	−0.572505	+	0.819901i	$0.694028\pi$
$908$	11.6118	−	11.6118i	0.385350	−	0.385350i
$909$	−8.95460	−	2.96901i	−0.297005	−	0.0984758i
$910$	−16.1915	+	31.3481i	−0.536743	+	1.03918i
$911$	−19.8512	−	34.3833i	−0.657699	−	1.13917i	−0.981210	−	0.192944i	$-0.938197\pi$
$911$	−19.8512	−	34.3833i	−0.657699	−	1.13917i	0.323511	−	0.946225i	$-0.395137\pi$
$912$	−10.4871	+	1.07046i	−0.347262	+	0.0354463i
$913$	−3.02130	−	11.2756i	−0.0999904	−	0.373169i
$914$	29.2573	+	16.8917i	0.967744	+	0.558727i
$915$	−6.20558	−	0.356769i	−0.205150	−	0.0117944i
$916$	17.1399	−	9.89572i	0.566318	−	0.326964i
$917$	−3.24389	+	2.90058i	−0.107123	+	0.0957855i
$918$	−15.4274	−	14.1442i	−0.509179	−	0.466828i
$919$			10.6668i			0.351864i	0.984402	+	0.175932i	$0.0562939\pi$
$919$			10.6668i			0.351864i	−0.984402	+	0.175932i	$0.943706\pi$
$920$	−23.2052	+	28.5351i	−0.765053	+	0.940773i
$921$	7.36873	−	2.80327i	0.242808	−	0.0923709i
$922$	−20.1736	+	5.40549i	−0.664381	+	0.178020i
$923$	3.17777	+	11.8596i	0.104598	+	0.390364i
$924$	4.53008	−	4.96632i	0.149029	−	0.163380i
$925$	1.08297	−	0.546163i	0.0356077	−	0.0179577i
$926$	5.96900			0.196154
$927$	−21.9270	+	33.3254i	−0.720177	+	1.09455i
$928$	−6.59650	−	6.59650i	−0.216541	−	0.216541i
$929$	−12.4818	−	21.6192i	−0.409516	−	0.709302i	0.585320	−	0.810803i	$-0.300969\pi$
$929$	−12.4818	−	21.6192i	−0.409516	−	0.709302i	−0.994836	+	0.101500i	$0.967636\pi$
$930$	6.44249	+	31.0834i	0.211257	+	1.01926i
$931$	−23.8694	−	17.5955i	−0.782289	−	0.576670i
$932$	0.450948	+	1.68296i	0.0147713	+	0.0551272i
$933$	0.301178	−	0.217442i	0.00986014	−	0.00711874i
$934$	22.1787	+	38.4146i	0.725708	+	1.25696i
$935$	12.8802	+	5.76660i	0.421226	+	0.188588i
$936$	50.5996	−	10.4385i	1.65390	−	0.341195i
$937$	−31.4583	−	31.4583i	−1.02770	−	1.02770i	−0.999605	−	0.0280931i	$-0.991057\pi$
$937$	−31.4583	−	31.4583i	−1.02770	−	1.02770i	−0.0280931	−	0.999605i	$-0.508943\pi$
$938$	−32.2528	−	10.6030i	−1.05309	−	0.346199i
$939$	24.7924	−	30.4291i	0.809069	−	0.993015i
$940$	1.87519	+	2.59225i	0.0611621	+	0.0845499i
$941$	7.50665	+	4.33397i	0.244710	+	0.141283i	0.617340	−	0.786697i	$-0.288210\pi$
$941$	7.50665	+	4.33397i	0.244710	+	0.141283i	−0.372630	+	0.927980i	$0.621544\pi$
$942$	2.88310	−	6.42365i	0.0939366	−	0.209294i
$943$	18.2106	+	4.87952i	0.593019	+	0.158899i
$944$	−14.6432			−0.476596
$945$	30.2894	+	5.24931i	0.985313	+	0.170760i
$946$	7.85180			0.255284
$947$	−43.5672	−	11.6738i	−1.41574	−	0.379347i	−0.531772	−	0.846888i	$-0.678474\pi$
$947$	−43.5672	−	11.6738i	−1.41574	−	0.379347i	−0.883972	+	0.467540i	$0.845140\pi$
$948$	−6.04653	+	13.4719i	−0.196382	+	0.437546i
$949$	19.3121	+	11.1498i	0.626896	+	0.361938i
$950$	18.6848	+	12.2443i	0.606214	+	0.397258i
$951$	−14.8126	+	18.1803i	−0.480332	+	0.589538i
$952$	−29.2347	−	9.61077i	−0.947502	−	0.311487i
$953$	4.81848	+	4.81848i	0.156086	+	0.156086i	0.780830	−	0.624744i	$-0.214797\pi$
$953$	4.81848	+	4.81848i	0.156086	+	0.156086i	−0.624744	+	0.780830i	$0.714797\pi$
$954$	−4.00252	+	12.0717i	−0.129586	+	0.390836i
$955$	27.2197	−	10.3841i	0.880810	−	0.336021i
$956$	−12.2867	−	21.2811i	−0.397379	−	0.688280i
$957$	−4.73103	+	3.41567i	−0.152932	+	0.110413i
$958$	2.08627	+	7.78606i	0.0674043	+	0.251556i
$959$	−21.5310	+	32.9053i	−0.695272	+	1.06257i
$960$	16.3674	−	24.9261i	0.528257	−	0.804488i
$961$	14.6975	+	25.4567i	0.474112	+	0.821185i
$962$	1.02298	+	1.02298i	0.0329821	+	0.0329821i
$963$	44.5483	+	2.60263i	1.43555	+	0.0838686i
$964$	12.4570			0.401212
$965$	2.79357	+	27.1190i	0.0899283	+	0.872992i
$966$	−19.2848	−	17.5908i	−0.620478	−	0.565976i
$967$	−9.77721	−	36.4890i	−0.314414	−	1.17341i	−0.924534	−	0.381099i	$-0.875546\pi$
$967$	−9.77721	−	36.4890i	−0.314414	−	1.17341i	0.610120	−	0.792309i	$-0.291121\pi$
$968$	24.3263	−	6.51821i	0.781877	−	0.209503i
$969$	−26.1917	+	9.96404i	−0.841398	+	0.320091i
$970$	3.00343	+	2.44244i	0.0964343	+	0.0784221i
$971$			17.4688i			0.560600i	0.959912	+	0.280300i	$0.0904340\pi$
$971$			17.4688i			0.560600i	−0.959912	+	0.280300i	$0.909566\pi$
$972$	−6.73832	−	12.0860i	−0.216132	−	0.387658i
$973$	−6.03841	−	6.75313i	−0.193583	−	0.216496i
$974$	−29.7494	+	17.1759i	−0.953234	+	0.550350i
$975$	−43.4740	−	22.5435i	−1.39228	−	0.721969i
$976$	−1.99685	−	1.15288i	−0.0639175	−	0.0369028i
$977$	8.38539	+	31.2947i	0.268272	+	1.00121i	0.960217	+	0.279255i	$0.0900876\pi$
$977$	8.38539	+	31.2947i	0.268272	+	1.00121i	−0.691945	+	0.721951i	$0.743246\pi$
$978$	−30.5893	+	3.12237i	−0.978138	+	0.0998423i
$979$	−13.2085	−	22.8778i	−0.422145	−	0.731177i
$980$	13.4526	−	3.47541i	0.429729	−	0.111018i
$981$	−31.5332	+	28.0520i	−1.00678	+	0.895633i
$982$	10.9870	−	10.9870i	0.350608	−	0.350608i
$983$	47.8317	+	12.8165i	1.52559	+	0.408782i	0.921579	−	0.388191i	$-0.126900\pi$
$983$	47.8317	+	12.8165i	1.52559	+	0.408782i	0.604016	+	0.796973i	$0.293566\pi$
$984$	−18.1786	−	2.93510i	−0.579512	−	0.0935677i
$985$	−31.1595	−	43.0747i	−0.992826	−	1.37247i
$986$	7.11168	+	4.10593i	0.226482	+	0.130760i
$987$	−6.22067	+	3.98291i	−0.198006	+	0.126777i
$988$	5.50358	−	20.5397i	0.175092	−	0.653454i
$989$			24.3317i			0.773703i
$990$	−8.62488	−	7.89278i	−0.274117	−	0.250849i
$991$	52.6457			1.67234			0.836172	−	0.548467i	$-0.184788\pi$
$991$	52.6457			1.67234			0.836172	+	0.548467i	$0.184788\pi$
$992$	9.20383	−	34.3492i	0.292222	−	1.09059i
$993$	7.94513	−	0.810990i	0.252131	−	0.0257360i
$994$	−3.31735	+	5.06982i	−0.105220	+	0.160805i
$995$	0.608668	−	3.79215i	0.0192961	−	0.120219i
$996$	−10.1513	+	3.86185i	−0.321658	+	0.122368i
$997$	3.19878	−	11.9380i	0.101306	−	0.378080i	−0.896594	−	0.442854i	$-0.853966\pi$
$997$	3.19878	−	11.9380i	0.101306	−	0.378080i	0.997900	+	0.0647740i	$0.0206327\pi$
$998$	−6.28400	−	6.28400i	−0.198917	−	0.198917i
$999$	0.582323	−	1.11790i	0.0184239	−	0.0353688i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.cb.a.13.16	yes	176
3.2	odd	2		945.2.ce.a.118.29		176
5.2	odd	4	inner	315.2.cb.a.202.29	yes	176
7.6	odd	2	inner	315.2.cb.a.13.15	✓	176
9.2	odd	6		945.2.ce.a.748.15		176
9.7	even	3	inner	315.2.cb.a.223.30	yes	176
15.2	even	4		945.2.ce.a.307.16		176
21.20	even	2		945.2.ce.a.118.30		176
35.27	even	4	inner	315.2.cb.a.202.30	yes	176
45.2	even	12		945.2.ce.a.937.30		176
45.7	odd	12	inner	315.2.cb.a.97.15	yes	176
63.20	even	6		945.2.ce.a.748.16		176
63.34	odd	6	inner	315.2.cb.a.223.29	yes	176
105.62	odd	4		945.2.ce.a.307.15		176
315.97	even	12	inner	315.2.cb.a.97.16	yes	176
315.272	odd	12		945.2.ce.a.937.29		176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.cb.a.13.15	✓	176	7.6	odd	2	inner
315.2.cb.a.13.16	yes	176	1.1	even	1	trivial
315.2.cb.a.97.15	yes	176	45.7	odd	12	inner
315.2.cb.a.97.16	yes	176	315.97	even	12	inner
315.2.cb.a.202.29	yes	176	5.2	odd	4	inner
315.2.cb.a.202.30	yes	176	35.27	even	4	inner
315.2.cb.a.223.29	yes	176	63.34	odd	6	inner
315.2.cb.a.223.30	yes	176	9.7	even	3	inner
945.2.ce.a.118.29		176	3.2	odd	2
945.2.ce.a.118.30		176	21.20	even	2
945.2.ce.a.307.15		176	105.62	odd	4
945.2.ce.a.307.16		176	15.2	even	4
945.2.ce.a.748.15		176	9.2	odd	6
945.2.ce.a.748.16		176	63.20	even	6
945.2.ce.a.937.29		176	315.272	odd	12
945.2.ce.a.937.30		176	45.2	even	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:	\( N \)	\(=\)	\( 315 = 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	315.cb (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.01873 - 0.272968i) q^{2} +(0.709229 - 1.58019i) q^{3} +(-0.768749 - 0.443838i) q^{4} +(0.354370 - 2.20781i) q^{5} +(-1.15386 + 1.41619i) q^{6} +(0.826274 - 2.51342i) q^{7} +(2.15352 + 2.15352i) q^{8} +(-1.99399 - 2.24143i) q^{9} +O(q^{10})\)	\(q+(-1.01873 - 0.272968i) q^{2} +(0.709229 - 1.58019i) q^{3} +(-0.768749 - 0.443838i) q^{4} +(0.354370 - 2.20781i) q^{5} +(-1.15386 + 1.41619i) q^{6} +(0.826274 - 2.51342i) q^{7} +(2.15352 + 2.15352i) q^{8} +(-1.99399 - 2.24143i) q^{9} +(-0.963669 + 2.15243i) q^{10} +(-0.826243 - 1.43109i) q^{11} +(-1.24657 + 0.899985i) q^{12} +(1.46355 + 5.46205i) q^{13} +(-1.52783 + 2.33495i) q^{14} +(-3.23742 - 2.12581i) q^{15} +(-0.718341 - 1.24420i) q^{16} +(-2.70057 - 2.70057i) q^{17} +(1.41950 + 2.82771i) q^{18} +4.23627 q^{19} +(-1.25233 + 1.53997i) q^{20} +(-3.38565 - 3.08826i) q^{21} +(0.451076 + 1.68344i) q^{22} +(-5.21676 + 1.39783i) q^{23} +(4.93031 - 1.87563i) q^{24} +(-4.74884 - 1.56476i) q^{25} -5.96386i q^{26} +(-4.95608 + 1.56118i) q^{27} +(-1.75075 + 1.56546i) q^{28} +(1.76558 - 1.01936i) q^{29} +(2.71779 + 3.04935i) q^{30} +(6.73024 + 3.88571i) q^{31} +(-1.18432 - 4.41994i) q^{32} +(-2.84739 + 0.290644i) q^{33} +(2.01398 + 3.48832i) q^{34} +(-5.25634 - 2.71493i) q^{35} +(0.538044 + 2.60811i) q^{36} +(-0.171529 + 0.171529i) q^{37} +(-4.31562 - 1.15637i) q^{38} +(9.66906 + 1.56116i) q^{39} +(5.51771 - 3.99142i) q^{40} +(-3.02311 - 1.74540i) q^{41} +(2.60608 + 4.07028i) q^{42} +(1.16604 - 4.35171i) q^{43} +1.46687i q^{44} +(-5.65526 + 3.60805i) q^{45} +5.69603 q^{46} +(0.417181 - 1.55694i) q^{47} +(-2.47554 + 0.252688i) q^{48} +(-5.63454 - 4.15355i) q^{49} +(4.41067 + 2.89035i) q^{50} +(-6.18272 + 2.35208i) q^{51} +(1.29916 - 4.84853i) q^{52} +(2.84227 + 2.84227i) q^{53} +(5.47506 - 0.237576i) q^{54} +(-3.45238 + 1.31705i) q^{55} +(7.19210 - 3.63330i) q^{56} +(3.00449 - 6.69410i) q^{57} +(-2.07690 + 0.556504i) q^{58} +(5.09618 - 8.82685i) q^{59} +(1.54525 + 3.07111i) q^{60} +(1.38990 - 0.802460i) q^{61} +(-5.79564 - 5.79564i) q^{62} +(-7.28124 + 3.15969i) q^{63} +7.69937i q^{64} +(12.5778 - 1.29566i) q^{65} +(2.98007 + 0.481160i) q^{66} +(3.14908 + 11.7525i) q^{67} +(0.877445 + 3.27467i) q^{68} +(-1.49105 + 9.23483i) q^{69} +(4.61371 + 4.20060i) q^{70} +2.17128 q^{71} +(0.532877 - 9.12106i) q^{72} +(2.78850 - 2.78850i) q^{73} +(0.221564 - 0.127920i) q^{74} +(-5.84064 + 6.39429i) q^{75} +(-3.25663 - 1.88022i) q^{76} +(-4.27964 + 0.894217i) q^{77} +(-9.42402 - 4.22975i) q^{78} +(8.31756 - 4.80215i) q^{79} +(-3.00152 + 1.14505i) q^{80} +(-1.04803 + 8.93877i) q^{81} +(2.60330 + 2.60330i) q^{82} +(6.82344 + 1.82833i) q^{83} +(1.23203 + 3.87678i) q^{84} +(-6.91933 + 5.00534i) q^{85} +(-2.37576 + 4.11493i) q^{86} +(-0.358575 - 3.51290i) q^{87} +(1.30256 - 4.86122i) q^{88} +15.9862 q^{89} +(6.74607 - 2.13192i) q^{90} +(14.9377 + 0.834633i) q^{91} +(4.63078 + 1.24081i) q^{92} +(10.9134 - 7.87919i) q^{93} +(-0.849992 + 1.47223i) q^{94} +(1.50120 - 9.35287i) q^{95} +(-7.82428 - 1.26330i) q^{96} +(0.424854 - 1.58558i) q^{97} +(4.60630 + 5.76940i) q^{98} +(-1.56018 + 4.70555i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

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