LMFDB - Embedded newform 961.2.d.p.374.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [961,2,Mod(374,961)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(961, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([8]))

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

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

chi := DirichletCharacter("961.374");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 961 = 31^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	961.d (of order $5$, degree $4$, not 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:	$7.67362363425$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{5})$
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} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 $ x^16 + 19x^14 + 140x^12 + 511x^10 + 979x^8 + 956x^6 + 410x^4 + 44*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	no (minimal twist has level 31)
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			374.3
Root			$2.16544i$ of defining polynomial
Character	$\chi$	$=$	961.374
Dual form			961.2.d.p.388.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.49685 + 1.08752i) q^{2} +(-0.403986 + 0.293513i) q^{3} +(0.439812 + 1.35360i) q^{4} +1.20736 q^{5} -0.923909 q^{6} +(1.15357 + 3.55033i) q^{7} +(0.329747 - 1.01486i) q^{8} +(-0.849996 + 2.61602i) q^{9} +O(q^{10})$	\(q+(1.49685 + 1.08752i) q^{2} +(-0.403986 + 0.293513i) q^{3} +(0.439812 + 1.35360i) q^{4} +1.20736 q^{5} -0.923909 q^{6} +(1.15357 + 3.55033i) q^{7} +(0.329747 - 1.01486i) q^{8} +(-0.849996 + 2.61602i) q^{9} +(1.80724 + 1.31303i) q^{10} +(-0.573693 - 1.76565i) q^{11} +(-0.574979 - 0.417746i) q^{12} +(4.19432 - 3.04736i) q^{13} +(-2.13435 + 6.56885i) q^{14} +(-0.487757 + 0.354376i) q^{15} +(3.90015 - 2.83362i) q^{16} +(-1.75135 + 5.39009i) q^{17} +(-4.11730 + 2.99139i) q^{18} +(1.16376 + 0.845521i) q^{19} +(0.531013 + 1.63429i) q^{20} +(-1.50810 - 1.09570i) q^{21} +(1.06145 - 3.26681i) q^{22} +(-1.09533 + 3.37109i) q^{23} +(0.164660 + 0.506773i) q^{24} -3.54228 q^{25} +9.59234 q^{26} +(-0.887376 - 2.73106i) q^{27} +(-4.29839 + 3.12296i) q^{28} +(-1.11046 - 0.806795i) q^{29} -1.11549 q^{30} +6.78540 q^{32} +(0.750004 + 0.544910i) q^{33} +(-8.48335 + 6.16352i) q^{34} +(1.39278 + 4.28654i) q^{35} -3.91489 q^{36} +4.50281 q^{37} +(0.822447 + 2.53123i) q^{38} +(-0.800011 + 2.46218i) q^{39} +(0.398123 - 1.22530i) q^{40} +(3.81784 + 2.77382i) q^{41} +(-1.06580 - 3.28018i) q^{42} +(-5.30652 - 3.85541i) q^{43} +(2.13767 - 1.55311i) q^{44} +(-1.02625 + 3.15848i) q^{45} +(-5.30569 + 3.85481i) q^{46} +(3.42131 - 2.48572i) q^{47} +(-0.743900 + 2.28949i) q^{48} +(-5.61102 + 4.07665i) q^{49} +(-5.30225 - 3.85231i) q^{50} +(-0.874543 - 2.69157i) q^{51} +(5.96963 + 4.33719i) q^{52} +(-4.00588 + 12.3288i) q^{53} +(1.64183 - 5.05303i) q^{54} +(-0.692655 - 2.13177i) q^{55} +3.98346 q^{56} -0.718314 q^{57} +(-0.784779 - 2.41530i) q^{58} +(1.76492 - 1.28229i) q^{59} +(-0.694207 - 0.504371i) q^{60} -2.68087 q^{61} -10.2683 q^{63} +(2.35642 + 1.71204i) q^{64} +(5.06407 - 3.67926i) q^{65} +(0.530040 + 1.63130i) q^{66} +2.88300 q^{67} -8.06631 q^{68} +(-0.546960 - 1.68337i) q^{69} +(-2.57693 + 7.93098i) q^{70} +(2.78166 - 8.56106i) q^{71} +(2.37460 + 1.72525i) q^{72} +(-1.29912 - 3.99829i) q^{73} +(6.74003 + 4.89692i) q^{74} +(1.43103 - 1.03971i) q^{75} +(-0.632664 + 1.94714i) q^{76} +(5.60683 - 4.07360i) q^{77} +(-3.87517 + 2.81548i) q^{78} +(3.47079 - 10.6820i) q^{79} +(4.70889 - 3.42121i) q^{80} +(-5.51587 - 4.00751i) q^{81} +(2.69813 + 8.30399i) q^{82} +(8.47642 + 6.15848i) q^{83} +(0.819859 - 2.52327i) q^{84} +(-2.11451 + 6.50779i) q^{85} +(-3.75020 - 11.5419i) q^{86} +0.685415 q^{87} -1.98105 q^{88} +(-0.834882 - 2.56950i) q^{89} +(-4.97107 + 3.61169i) q^{90} +(15.6576 + 11.3759i) q^{91} -5.04486 q^{92} +7.82446 q^{94} +(1.40508 + 1.02085i) q^{95} +(-2.74121 + 1.99160i) q^{96} +(-2.56277 - 7.88740i) q^{97} -12.8323 q^{98} +5.10660 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 4 q^{2} - 6 q^{3} + 6 q^{4} + 6 q^{5} - 22 q^{6} - 9 q^{7} - 8 q^{8} - 10 q^{9}+O(q^{10}) $ 16 * q + 4 * q^2 - 6 * q^3 + 6 * q^4 + 6 * q^5 - 22 * q^6 - 9 * q^7 - 8 * q^8 - 10 * q^9	\( 16 q + 4 q^{2} - 6 q^{3} + 6 q^{4} + 6 q^{5} - 22 q^{6} - 9 q^{7} - 8 q^{8} - 10 q^{9} - 6 q^{10} + 4 q^{11} - 5 q^{12} + 9 q^{13} - 18 q^{14} + 4 q^{15} - 2 q^{16} + 17 q^{17} - 14 q^{18} - 7 q^{19} + 36 q^{20} + 2 q^{21} - 8 q^{22} + 21 q^{23} + 5 q^{24} + 26 q^{25} - 18 q^{26} + 9 q^{27} + 20 q^{28} + 26 q^{29} - 22 q^{30} - 42 q^{32} + 7 q^{33} - 56 q^{34} + 21 q^{35} - 2 q^{36} + 16 q^{37} + 24 q^{38} + 2 q^{39} - 13 q^{40} + 6 q^{41} + 12 q^{42} - 16 q^{43} + 37 q^{44} - 5 q^{45} - 16 q^{46} + 4 q^{47} + 37 q^{48} - 39 q^{49} - 21 q^{50} - 11 q^{51} - 18 q^{52} + 3 q^{53} + 39 q^{54} + 29 q^{55} + 60 q^{56} + 34 q^{57} + 10 q^{58} - 3 q^{59} + 35 q^{60} - 60 q^{61} - 46 q^{63} - 32 q^{64} + 9 q^{65} + 20 q^{66} - 26 q^{67} - 60 q^{68} - 21 q^{69} + 27 q^{70} + 18 q^{71} - 4 q^{72} - 9 q^{73} + 64 q^{74} + 19 q^{75} + 9 q^{76} - 42 q^{77} + 15 q^{78} + 14 q^{79} + 18 q^{80} + 29 q^{81} + 32 q^{82} + 67 q^{83} + 39 q^{84} - 63 q^{85} - 23 q^{86} - 30 q^{87} + 34 q^{88} + 26 q^{89} - 24 q^{90} + 8 q^{91} - 64 q^{92} + 44 q^{94} + 28 q^{95} + 4 q^{96} - 37 q^{97} + 20 q^{98} - 12 q^{99}+O(q^{100}) \) 16 * q + 4 * q^2 - 6 * q^3 + 6 * q^4 + 6 * q^5 - 22 * q^6 - 9 * q^7 - 8 * q^8 - 10 * q^9 - 6 * q^10 + 4 * q^11 - 5 * q^12 + 9 * q^13 - 18 * q^14 + 4 * q^15 - 2 * q^16 + 17 * q^17 - 14 * q^18 - 7 * q^19 + 36 * q^20 + 2 * q^21 - 8 * q^22 + 21 * q^23 + 5 * q^24 + 26 * q^25 - 18 * q^26 + 9 * q^27 + 20 * q^28 + 26 * q^29 - 22 * q^30 - 42 * q^32 + 7 * q^33 - 56 * q^34 + 21 * q^35 - 2 * q^36 + 16 * q^37 + 24 * q^38 + 2 * q^39 - 13 * q^40 + 6 * q^41 + 12 * q^42 - 16 * q^43 + 37 * q^44 - 5 * q^45 - 16 * q^46 + 4 * q^47 + 37 * q^48 - 39 * q^49 - 21 * q^50 - 11 * q^51 - 18 * q^52 + 3 * q^53 + 39 * q^54 + 29 * q^55 + 60 * q^56 + 34 * q^57 + 10 * q^58 - 3 * q^59 + 35 * q^60 - 60 * q^61 - 46 * q^63 - 32 * q^64 + 9 * q^65 + 20 * q^66 - 26 * q^67 - 60 * q^68 - 21 * q^69 + 27 * q^70 + 18 * q^71 - 4 * q^72 - 9 * q^73 + 64 * q^74 + 19 * q^75 + 9 * q^76 - 42 * q^77 + 15 * q^78 + 14 * q^79 + 18 * q^80 + 29 * q^81 + 32 * q^82 + 67 * q^83 + 39 * q^84 - 63 * q^85 - 23 * q^86 - 30 * q^87 + 34 * q^88 + 26 * q^89 - 24 * q^90 + 8 * q^91 - 64 * q^92 + 44 * q^94 + 28 * q^95 + 4 * q^96 - 37 * q^97 + 20 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/961\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	1.49685	+	1.08752i	1.05843	+	0.768996i	0.973798	−	0.227417i	$-0.0730279\pi$
$2$	1.49685	+	1.08752i	1.05843	+	0.768996i	0.0846340	+	0.996412i	$0.473028\pi$
$3$	−0.403986	+	0.293513i	−0.233242	+	0.169460i	−0.698267	−	0.715837i	$-0.746045\pi$
$3$	−0.403986	+	0.293513i	−0.233242	+	0.169460i	0.465025	+	0.885297i	$0.346045\pi$
$4$	0.439812	+	1.35360i	0.219906	+	0.676802i
$5$	1.20736			0.539948			0.269974	−	0.962868i	$-0.412985\pi$
$5$	1.20736			0.539948			0.269974	+	0.962868i	$0.412985\pi$
$6$	−0.923909			−0.377184
$7$	1.15357	+	3.55033i	0.436010	+	1.34190i	0.892048	+	0.451940i	$0.149268\pi$
$7$	1.15357	+	3.55033i	0.436010	+	1.34190i	−0.456038	+	0.889960i	$0.650732\pi$
$8$	0.329747	−	1.01486i	0.116583	−	0.358806i
$9$	−0.849996	+	2.61602i	−0.283332	+	0.872006i
$10$	1.80724	+	1.31303i	0.571499	+	0.415218i
$11$	−0.573693	−	1.76565i	−0.172975	−	0.532362i	0.826560	−	0.562848i	$-0.190294\pi$
$11$	−0.573693	−	1.76565i	−0.172975	−	0.532362i	−0.999535	+	0.0304861i	$0.990294\pi$
$12$	−0.574979	−	0.417746i	−0.165982	−	0.120593i
$13$	4.19432	−	3.04736i	1.16330	−	0.845184i	0.173105	−	0.984903i	$-0.444620\pi$
$13$	4.19432	−	3.04736i	1.16330	−	0.845184i	0.990191	+	0.139719i	$0.0446199\pi$
$14$	−2.13435	+	6.56885i	−0.570429	+	1.75560i
$15$	−0.487757	+	0.354376i	−0.125938	+	0.0914996i
$16$	3.90015	−	2.83362i	0.975037	−	0.708406i
$17$	−1.75135	+	5.39009i	−0.424764	+	1.30729i	0.478456	+	0.878111i	$0.341196\pi$
$17$	−1.75135	+	5.39009i	−0.424764	+	1.30729i	−0.903220	+	0.429177i	$0.858804\pi$
$18$	−4.11730	+	2.99139i	−0.970457	+	0.705078i
$19$	1.16376	+	0.845521i	0.266985	+	0.193976i	0.713221	−	0.700940i	$-0.247236\pi$
$19$	1.16376	+	0.845521i	0.266985	+	0.193976i	−0.446236	+	0.894915i	$0.647236\pi$
$20$	0.531013	+	1.63429i	0.118738	+	0.365438i
$21$	−1.50810	−	1.09570i	−0.329094	−	0.239101i
$22$	1.06145	−	3.26681i	0.226302	−	0.696486i
$23$	−1.09533	+	3.37109i	−0.228393	+	0.702921i	0.769537	+	0.638603i	$0.220487\pi$
$23$	−1.09533	+	3.37109i	−0.228393	+	0.702921i	−0.997929	+	0.0643183i	$0.979513\pi$
$24$	0.164660	+	0.506773i	0.0336112	+	0.103445i
$25$	−3.54228			−0.708456
$26$	9.59234			1.88121
$27$	−0.887376	−	2.73106i	−0.170776	−	0.525593i
$28$	−4.29839	+	3.12296i	−0.812319	+	0.590184i
$29$	−1.11046	−	0.806795i	−0.206207	−	0.149818i	0.479889	−	0.877329i	$-0.340677\pi$
$29$	−1.11046	−	0.806795i	−0.206207	−	0.149818i	−0.686096	+	0.727511i	$0.740677\pi$
$30$	−1.11549			−0.203660
$31$		0			0
$31$		0			0
$32$	6.78540			1.19950
$33$	0.750004	+	0.544910i	0.130559	+	0.0948567i
$34$	−8.48335	+	6.16352i	−1.45488	+	1.05703i
$35$	1.39278	+	4.28654i	0.235423	+	0.724557i
$36$	−3.91489			−0.652482
$37$	4.50281			0.740258			0.370129	−	0.928980i	$-0.379313\pi$
$37$	4.50281			0.740258			0.370129	+	0.928980i	$0.379313\pi$
$38$	0.822447	+	2.53123i	0.133419	+	0.410620i
$39$	−0.800011	+	2.46218i	−0.128104	+	0.394264i
$40$	0.398123	−	1.22530i	0.0629488	−	0.193737i
$41$	3.81784	+	2.77382i	0.596247	+	0.433198i	0.844545	−	0.535485i	$-0.179871\pi$
$41$	3.81784	+	2.77382i	0.596247	+	0.433198i	−0.248298	+	0.968684i	$0.579871\pi$
$42$	−1.06580	−	3.28018i	−0.164456	−	0.506143i
$43$	−5.30652	−	3.85541i	−0.809237	−	0.587945i	0.104372	−	0.994538i	$-0.466717\pi$
$43$	−5.30652	−	3.85541i	−0.809237	−	0.587945i	−0.913609	+	0.406593i	$0.866717\pi$
$44$	2.13767	−	1.55311i	0.322265	−	0.234140i
$45$	−1.02625	+	3.15848i	−0.152985	+	0.470838i
$46$	−5.30569	+	3.85481i	−0.782281	+	0.568361i
$47$	3.42131	−	2.48572i	0.499049	−	0.362580i	−0.309605	−	0.950865i	$-0.600197\pi$
$47$	3.42131	−	2.48572i	0.499049	−	0.362580i	0.808654	+	0.588285i	$0.200197\pi$
$48$	−0.743900	+	2.28949i	−0.107373	+	0.330459i
$49$	−5.61102	+	4.07665i	−0.801575	+	0.582378i
$50$	−5.30225	−	3.85231i	−0.749852	−	0.544799i
$51$	−0.874543	−	2.69157i	−0.122460	−	0.376895i
$52$	5.96963	+	4.33719i	0.827838	+	0.601460i
$53$	−4.00588	+	12.3288i	−0.550250	+	1.69350i	0.157918	+	0.987452i	$0.449522\pi$
$53$	−4.00588	+	12.3288i	−0.550250	+	1.69350i	−0.708168	+	0.706044i	$0.750478\pi$
$54$	1.64183	−	5.05303i	0.223425	−	0.687630i
$55$	−0.692655	−	2.13177i	−0.0933976	−	0.287448i
$56$	3.98346			0.532313
$57$	−0.718314			−0.0951431
$58$	−0.784779	−	2.41530i	−0.103047	−	0.317145i
$59$	1.76492	−	1.28229i	0.229773	−	0.166940i	−0.466942	−	0.884288i	$-0.654644\pi$
$59$	1.76492	−	1.28229i	0.229773	−	0.166940i	0.696715	+	0.717348i	$0.254644\pi$
$60$	−0.694207	−	0.504371i	−0.0896218	−	0.0651140i
$61$	−2.68087			−0.343251			−0.171625	−	0.985162i	$-0.554902\pi$
$61$	−2.68087			−0.343251			−0.171625	+	0.985162i	$0.554902\pi$
$62$		0			0
$63$	−10.2683			−1.29368
$64$	2.35642	+	1.71204i	0.294552	+	0.214005i
$65$	5.06407	−	3.67926i	0.628120	−	0.456356i
$66$	0.530040	+	1.63130i	0.0652434	+	0.200799i
$67$	2.88300			0.352214			0.176107	−	0.984371i	$-0.443649\pi$
$67$	2.88300			0.352214			0.176107	+	0.984371i	$0.443649\pi$
$68$	−8.06631			−0.978184
$69$	−0.546960	−	1.68337i	−0.0658462	−	0.202654i
$70$	−2.57693	+	7.93098i	−0.308002	+	0.947933i
$71$	2.78166	−	8.56106i	0.330122	−	1.01601i	−0.638953	−	0.769246i	$-0.720632\pi$
$71$	2.78166	−	8.56106i	0.330122	−	1.01601i	0.969075	−	0.246766i	$-0.0793678\pi$
$72$	2.37460	+	1.72525i	0.279849	+	0.203322i
$73$	−1.29912	−	3.99829i	−0.152051	−	0.467965i	0.845799	−	0.533501i	$-0.179124\pi$
$73$	−1.29912	−	3.99829i	−0.152051	−	0.467965i	−0.997850	+	0.0655368i	$0.979124\pi$
$74$	6.74003	+	4.89692i	0.783512	+	0.569255i
$75$	1.43103	−	1.03971i	0.165241	−	0.120055i
$76$	−0.632664	+	1.94714i	−0.0725715	+	0.223352i
$77$	5.60683	−	4.07360i	0.638958	−	0.464230i
$78$	−3.87517	+	2.81548i	−0.438777	+	0.318790i
$79$	3.47079	−	10.6820i	0.390494	−	1.20182i	−0.541922	−	0.840429i	$-0.682303\pi$
$79$	3.47079	−	10.6820i	0.390494	−	1.20182i	0.932416	−	0.361388i	$-0.117697\pi$
$80$	4.70889	−	3.42121i	0.526470	−	0.382503i
$81$	−5.51587	−	4.00751i	−0.612874	−	0.445279i
$82$	2.69813	+	8.30399i	0.297958	+	0.917022i
$83$	8.47642	+	6.15848i	0.930408	+	0.675981i	0.946093	−	0.323896i	$-0.104993\pi$
$83$	8.47642	+	6.15848i	0.930408	+	0.675981i	−0.0156845	+	0.999877i	$0.504993\pi$
$84$	0.819859	−	2.52327i	0.0894540	−	0.275311i
$85$	−2.11451	+	6.50779i	−0.229351	+	0.705869i
$86$	−3.75020	−	11.5419i	−0.404395	−	1.24460i
$87$	0.685415			0.0734842
$88$	−1.98105			−0.211180
$89$	−0.834882	−	2.56950i	−0.0884973	−	0.272367i	0.897007	−	0.442016i	$-0.145737\pi$
$89$	−0.834882	−	2.56950i	−0.0884973	−	0.272367i	−0.985505	+	0.169649i	$0.945737\pi$
$90$	−4.97107	+	3.61169i	−0.523997	+	0.380706i
$91$	15.6576	+	11.3759i	1.64136	+	1.19252i
$92$	−5.04486			−0.525963
$93$		0			0
$94$	7.82446			0.807031
$95$	1.40508	+	1.02085i	0.144158	+	0.104737i
$96$	−2.74121	+	1.99160i	−0.279773	+	0.203267i
$97$	−2.56277	−	7.88740i	−0.260210	−	0.800844i	−0.992758	−	0.120129i	$-0.961669\pi$
$97$	−2.56277	−	7.88740i	−0.260210	−	0.800844i	0.732548	−	0.680715i	$-0.238331\pi$
$98$	−12.8323			−1.29626
$99$	5.10660			0.513233
$100$	−1.55794	−	4.79484i	−0.155794	−	0.479484i
$101$	0.493946	−	1.52021i	0.0491495	−	0.151267i	−0.923470	−	0.383672i	$-0.874659\pi$
$101$	0.493946	−	1.52021i	0.0491495	−	0.151267i	0.972619	+	0.232405i	$0.0746595\pi$
$102$	1.61808	−	4.97995i	0.160214	−	0.493089i
$103$	−14.8114	−	10.7611i	−1.45941	−	1.06032i	−0.983517	−	0.180816i	$-0.942126\pi$
$103$	−14.8114	−	10.7611i	−1.45941	−	1.06032i	−0.475889	−	0.879505i	$-0.657874\pi$
$104$	−1.70956	−	5.26149i	−0.167636	−	0.515931i
$105$	−1.82082	−	1.32290i	−0.177694	−	0.129102i
$106$	−19.4041	+	14.0979i	−1.88469	+	1.36931i
$107$	3.57696	−	11.0087i	0.345798	−	1.06426i	−0.615358	−	0.788248i	$-0.710989\pi$
$107$	3.57696	−	11.0087i	0.345798	−	1.06426i	0.961155	−	0.276008i	$-0.0890115\pi$
$108$	3.30650	−	2.40231i	0.318168	−	0.231163i
$109$	−1.12720	+	0.818958i	−0.107966	+	0.0784419i	−0.640458	−	0.767993i	$-0.721256\pi$
$109$	−1.12720	+	0.818958i	−0.107966	+	0.0784419i	0.532492	+	0.846435i	$0.321256\pi$
$110$	1.28155	−	3.94422i	0.122191	−	0.376066i
$111$	−1.81907	+	1.32164i	−0.172659	+	0.125444i
$112$	14.5594	+	10.5780i	1.37574	+	0.999530i
$113$	−1.00602	−	3.09622i	−0.0946388	−	0.291268i	0.892521	−	0.451007i	$-0.148935\pi$
$113$	−1.00602	−	3.09622i	−0.0946388	−	0.291268i	−0.987159	+	0.159738i	$0.948935\pi$
$114$	−1.07521	−	0.781184i	−0.100702	−	0.0731646i
$115$	−1.32246	+	4.07013i	−0.123320	+	0.379541i
$116$	0.603688	−	1.85796i	0.0560510	−	0.172507i
$117$	4.40678	+	13.5627i	0.407407	+	1.25387i
$118$	4.03633			0.371575
$119$	−21.1569			−1.93945
$120$	0.198805	+	0.611858i	0.0181483	+	0.0558547i
$121$	6.11081	−	4.43976i	0.555528	−	0.403615i
$122$	−4.01286	−	2.91551i	−0.363307	−	0.263958i
$123$	−2.35651			−0.212479
$124$		0			0
$125$	−10.3136			−0.922478
$126$	−15.3700	−	11.1670i	−1.36927	−	0.994835i
$127$	−7.75964	+	5.63771i	−0.688556	+	0.500265i	−0.876185	−	0.481975i	$-0.839920\pi$
$127$	−7.75964	+	5.63771i	−0.688556	+	0.500265i	0.187629	+	0.982240i	$0.439920\pi$
$128$	−2.52829	−	7.78128i	−0.223471	−	0.687774i
$129$	3.27538			0.288381
$130$	11.5814			1.01576
$131$	−3.55128	−	10.9297i	−0.310277	−	0.954933i	−0.977655	−	0.210215i	$-0.932584\pi$
$131$	−3.55128	−	10.9297i	−0.310277	−	0.954933i	0.667379	−	0.744719i	$-0.267416\pi$
$132$	−0.407731	+	1.25487i	−0.0354884	+	0.109222i
$133$	−1.65940	+	5.10711i	−0.143888	+	0.442842i
$134$	4.31541	+	3.13533i	0.372795	+	0.270851i
$135$	−1.07138	−	3.29738i	−0.0922101	−	0.283793i
$136$	4.89266	+	3.55473i	0.419542	+	0.304815i
$137$	12.7725	−	9.27980i	1.09123	−	0.792827i	0.111625	−	0.993750i	$-0.464394\pi$
$137$	12.7725	−	9.27980i	1.09123	−	0.792827i	0.979607	+	0.200924i	$0.0643943\pi$
$138$	1.01199	−	3.11458i	0.0861462	−	0.265131i
$139$	8.25885	−	6.00040i	0.700506	−	0.508948i	−0.179591	−	0.983741i	$-0.557477\pi$
$139$	8.25885	−	6.00040i	0.700506	−	0.508948i	0.880097	+	0.474794i	$0.157477\pi$
$140$	−5.18971	+	3.77054i	−0.438611	+	0.318669i
$141$	−0.652568	+	2.00840i	−0.0549561	+	0.169138i
$142$	13.4741	−	9.78949i	1.13072	−	0.821516i
$143$	−7.78680	−	5.65744i	−0.651165	−	0.473099i
$144$	4.09770	+	12.6114i	0.341475	+	1.05095i
$145$	−1.34073	−	0.974094i	−0.111341	−	0.0808941i
$146$	2.40365	−	7.39766i	0.198927	−	0.612235i
$147$	1.07023	−	3.29382i	0.0882708	−	0.271670i
$148$	1.98039	+	6.09503i	0.162787	+	0.501008i
$149$	3.82067			0.313001			0.156501	−	0.987678i	$-0.449979\pi$
$149$	3.82067			0.313001			0.156501	+	0.987678i	$0.449979\pi$
$150$	3.27274			0.267218
$151$	−2.74023	−	8.43357i	−0.222997	−	0.686314i	−0.998489	−	0.0549565i	$-0.982498\pi$
$151$	−2.74023	−	8.43357i	−0.222997	−	0.686314i	0.775492	−	0.631358i	$-0.217502\pi$
$152$	1.24183	−	0.902240i	0.100725	−	0.0731813i
$153$	−12.6119	−	9.16311i	−1.01961	−	0.740794i
$154$	12.8227			1.03328
$155$		0			0
$156$	−3.68467			−0.295010
$157$	4.18837	+	3.04303i	0.334268	+	0.242860i	0.742240	−	0.670135i	$-0.233764\pi$
$157$	4.18837	+	3.04303i	0.334268	+	0.242860i	−0.407971	+	0.912995i	$0.633764\pi$
$158$	16.8122	−	12.2147i	1.33750	−	0.971753i
$159$	−2.00035	−	6.15646i	−0.158638	−	0.488239i
$160$	8.19243			0.647668
$161$	−13.2320			−1.04283
$162$	−3.89815	−	11.9973i	−0.306268	−	0.942595i
$163$	0.171126	−	0.526673i	0.0134036	−	0.0412522i	−0.944131	−	0.329570i	$-0.893096\pi$
$163$	0.171126	−	0.526673i	0.0134036	−	0.0412522i	0.957535	+	0.288318i	$0.0930961\pi$
$164$	−2.07552	+	6.38781i	−0.162071	+	0.498804i
$165$	0.905526	+	0.657903i	0.0704951	+	0.0512177i
$166$	5.99042	+	18.4366i	0.464947	+	1.43096i
$167$	−1.61642	−	1.17440i	−0.125082	−	0.0908776i	0.523485	−	0.852035i	$-0.324632\pi$
$167$	−1.61642	−	1.17440i	−0.125082	−	0.0908776i	−0.648567	+	0.761157i	$0.724632\pi$
$168$	−1.60926	+	1.16920i	−0.124157	+	0.0902056i
$169$	4.28877	−	13.1995i	0.329905	−	1.01534i
$170$	−10.2425	+	7.44159i	−0.785562	+	0.570744i
$171$	−3.20109	+	2.32573i	−0.244793	+	0.177853i
$172$	2.88483	−	8.87858i	0.219966	−	0.676986i
$173$	3.28266	−	2.38499i	0.249576	−	0.181328i	−0.455963	−	0.889999i	$-0.650705\pi$
$173$	3.28266	−	2.38499i	0.249576	−	0.181328i	0.705539	+	0.708671i	$0.250705\pi$
$174$	1.02596	+	0.745405i	0.0777780	+	0.0565090i
$175$	−4.08628	−	12.5763i	−0.308894	−	0.950677i
$176$	−7.24066	−	5.26065i	−0.545785	−	0.396536i
$177$	−0.336634	+	1.03605i	−0.0253030	+	0.0778745i
$178$	1.54470	−	4.75411i	0.115780	−	0.356336i
$179$	−1.22490	−	3.76986i	−0.0915534	−	0.281772i	0.894787	−	0.446494i	$-0.147327\pi$
$179$	−1.22490	−	3.76986i	−0.0915534	−	0.281772i	−0.986340	+	0.164721i	$0.947327\pi$
$180$	−4.72669			−0.352307
$181$	6.39742			0.475517			0.237758	−	0.971324i	$-0.423587\pi$
$181$	6.39742			0.475517			0.237758	+	0.971324i	$0.423587\pi$
$182$	11.0655	+	34.0560i	0.820227	+	2.52440i
$183$	1.08304	−	0.786872i	0.0800603	−	0.0581672i
$184$	3.05999	+	2.22321i	0.225585	+	0.163897i
$185$	5.43652			0.399701
$186$		0			0
$187$	10.5217			0.769425
$188$	4.86942	+	3.53784i	0.355139	+	0.258023i
$189$	8.67253	−	6.30097i	0.630834	−	0.458328i
$190$	0.992991	+	3.05611i	0.0720392	+	0.221714i
$191$	11.6256			0.841202			0.420601	−	0.907246i	$-0.361819\pi$
$191$	11.6256			0.841202			0.420601	+	0.907246i	$0.361819\pi$
$192$	−1.45447			−0.104967
$193$	4.18518	+	12.8807i	0.301256	+	0.927171i	0.981048	+	0.193765i	$0.0620701\pi$
$193$	4.18518	+	12.8807i	0.301256	+	0.927171i	−0.679792	+	0.733405i	$0.737930\pi$
$194$	4.74166	−	14.5933i	0.340431	−	1.04774i
$195$	−0.965902	+	2.97274i	−0.0691697	+	0.212882i
$196$	−7.98596	−	5.80214i	−0.570426	−	0.414439i
$197$	7.23233	+	22.2588i	0.515282	+	1.58587i	0.782769	+	0.622313i	$0.213807\pi$
$197$	7.23233	+	22.2588i	0.515282	+	1.58587i	−0.267487	+	0.963562i	$0.586193\pi$
$198$	7.64380	+	5.55355i	0.543222	+	0.394674i
$199$	−5.33787	+	3.87819i	−0.378391	+	0.274917i	−0.760682	−	0.649125i	$-0.775135\pi$
$199$	−5.33787	+	3.87819i	−0.378391	+	0.274917i	0.382291	+	0.924042i	$0.375135\pi$
$200$	−1.16805	+	3.59490i	−0.0825939	+	0.254198i
$201$	−1.16469	+	0.846198i	−0.0821510	+	0.0596862i
$202$	2.39263	−	1.73835i	0.168345	−	0.122310i
$203$	1.58340	−	4.87320i	0.111133	−	0.342031i
$204$	3.25868	−	2.36757i	0.228153	−	0.165763i
$205$	4.60951	+	3.34901i	0.321942	+	0.233905i
$206$	−10.4674	−	32.2154i	−0.729300	−	2.24455i
$207$	−7.88781	−	5.73083i	−0.548241	−	0.398320i
$208$	7.72343	−	23.7703i	0.535524	−	1.64817i
$209$	0.825249	−	2.53986i	0.0570837	−	0.175686i
$210$	−1.28680	−	3.96037i	−0.0887978	−	0.273291i
$211$	−19.3651			−1.33315			−0.666574	−	0.745439i	$-0.732240\pi$
$211$	−19.3651			−1.33315			−0.666574	+	0.745439i	$0.732240\pi$
$212$	−18.4502			−1.26716
$213$	1.38903	+	4.27500i	0.0951750	+	0.292918i
$214$	17.3264	−	12.5884i	1.18441	−	0.860525i
$215$	−6.40689	−	4.65488i	−0.436946	−	0.317460i
$216$	−3.06424			−0.208495
$217$		0			0
$218$	−2.57788			−0.174596
$219$	1.69838	+	1.23394i	0.114766	+	0.0833822i
$220$	2.58094	−	1.87516i	0.174007	−	0.126423i
$221$	9.07980	+	27.9448i	0.610774	+	1.87977i
$222$	−4.16019			−0.279214
$223$	7.05971			0.472753			0.236377	−	0.971662i	$-0.424040\pi$
$223$	7.05971			0.472753			0.236377	+	0.971662i	$0.424040\pi$
$224$	7.82746	+	24.0904i	0.522994	+	1.60961i
$225$	3.01092	−	9.26667i	0.200728	−	0.617778i
$226$	1.86135	−	5.72865i	0.123815	−	0.381064i
$227$	7.29718	+	5.30171i	0.484331	+	0.351887i	0.803000	−	0.595979i	$-0.203236\pi$
$227$	7.29718	+	5.30171i	0.484331	+	0.351887i	−0.318669	+	0.947866i	$0.603236\pi$
$228$	−0.315924	−	0.972313i	−0.0209226	−	0.0643930i
$229$	−14.5250	−	10.5530i	−0.959836	−	0.697362i	−0.00672346	−	0.999977i	$-0.502140\pi$
$229$	−14.5250	−	10.5530i	−0.959836	−	0.697362i	−0.953113	+	0.302616i	$0.902140\pi$
$230$	−6.40589	+	4.65415i	−0.422392	+	0.306885i
$231$	−1.06943	+	3.29136i	−0.0703632	+	0.216556i
$232$	−1.18495	+	0.860917i	−0.0777958	+	0.0565220i
$233$	−11.0409	+	8.02168i	−0.723313	+	0.525518i	−0.887441	−	0.460921i	$-0.847519\pi$
$233$	−11.0409	+	8.02168i	−0.723313	+	0.525518i	0.164128	+	0.986439i	$0.447519\pi$
$234$	−8.15345	+	25.0937i	−0.533008	+	1.64043i
$235$	4.13075	−	3.00117i	0.269461	−	0.195775i
$236$	2.51194	+	1.82503i	0.163514	+	0.118800i
$237$	1.73315	+	5.33410i	0.112580	+	0.346487i
$238$	−31.6687	−	23.0087i	−2.05278	−	1.49143i
$239$	−3.04420	+	9.36908i	−0.196913	+	0.606035i	0.803036	+	0.595930i	$0.203217\pi$
$239$	−3.04420	+	9.36908i	−0.196913	+	0.606035i	−0.999949	+	0.0101049i	$0.996783\pi$
$240$	−0.898157	+	2.76424i	−0.0579758	+	0.178431i
$241$	−2.06109	−	6.34337i	−0.132766	−	0.408612i	0.862470	−	0.506109i	$-0.168917\pi$
$241$	−2.06109	−	6.34337i	−0.132766	−	0.408612i	−0.995236	+	0.0974964i	$0.968917\pi$
$242$	13.9753			0.898366
$243$	12.0194			0.771046
$244$	−1.17908	−	3.62884i	−0.0754830	−	0.232313i
$245$	−6.77453	+	4.92199i	−0.432809	+	0.314454i
$246$	−3.52734	−	2.56276i	−0.224895	−	0.163396i
$247$	7.45779			0.474528
$248$		0			0
$249$	−5.23195			−0.331562
$250$	−15.4379	−	11.2163i	−0.976380	−	0.709381i
$251$	23.7187	−	17.2327i	1.49711	−	1.08772i	0.525600	−	0.850732i	$-0.323841\pi$
$251$	23.7187	−	17.2327i	1.49711	−	1.08772i	0.971513	−	0.236984i	$-0.0761590\pi$
$252$	−4.51612	−	13.8992i	−0.284489	−	0.875566i
$253$	6.58054			0.413715
$254$	−17.7461			−1.11349
$255$	−1.05589	−	3.24969i	−0.0661223	−	0.203504i
$256$	6.47800	−	19.9372i	0.404875	−	1.24608i
$257$	−7.40049	+	22.7764i	−0.461630	+	1.42075i	0.401542	+	0.915841i	$0.368475\pi$
$257$	−7.40049	+	22.7764i	−0.461630	+	1.42075i	−0.863172	+	0.504911i	$0.831525\pi$
$258$	4.90274	+	3.56205i	0.305231	+	0.221763i
$259$	5.19433	+	15.9865i	0.322760	+	0.993352i
$260$	7.20750	+	5.23655i	0.446990	+	0.324757i
$261$	3.05448	−	2.21921i	0.189067	−	0.137366i
$262$	6.57060	−	20.2222i	0.405933	−	1.24933i
$263$	−3.19095	+	2.31836i	−0.196762	+	0.142956i	−0.681804	−	0.731535i	$-0.738804\pi$
$263$	−3.19095	+	2.31836i	−0.196762	+	0.142956i	0.485042	+	0.874491i	$0.338804\pi$
$264$	0.800316	−	0.581464i	0.0492561	−	0.0357866i
$265$	−4.83655	+	14.8854i	−0.297107	+	0.914400i
$266$	−8.03797	+	5.83993i	−0.492839	+	0.358069i
$267$	1.09146	+	0.792995i	0.0667965	+	0.0485305i
$268$	1.26798	+	3.90244i	0.0774542	+	0.238379i
$269$	−10.3168	−	7.49558i	−0.629025	−	0.457013i	0.227037	−	0.973886i	$-0.427096\pi$
$269$	−10.3168	−	7.49558i	−0.629025	−	0.457013i	−0.856062	+	0.516873i	$0.827096\pi$
$270$	1.98228	−	6.10083i	0.120638	−	0.371285i
$271$	−1.02674	+	3.15999i	−0.0623703	+	0.191956i	−0.977386	−	0.211461i	$-0.932178\pi$
$271$	−1.02674	+	3.15999i	−0.0623703	+	0.191956i	0.915016	+	0.403417i	$0.132178\pi$
$272$	8.44297	+	25.9848i	0.511931	+	1.57556i
$273$	−9.66443			−0.584918
$274$	29.2106			1.76467
$275$	2.03218	+	6.25441i	0.122545	+	0.377155i
$276$	2.03805	−	1.48073i	0.122676	−	0.0891297i
$277$	−17.0028	−	12.3533i	−1.02160	−	0.742237i	−0.0549911	−	0.998487i	$-0.517513\pi$
$277$	−17.0028	−	12.3533i	−1.02160	−	0.742237i	−0.966611	+	0.256250i	$0.917513\pi$
$278$	18.8878			1.13282
$279$		0			0
$280$	4.80948			0.287421
$281$	7.57793	+	5.50569i	0.452061	+	0.328442i	0.790409	−	0.612579i	$-0.209868\pi$
$281$	7.57793	+	5.50569i	0.452061	+	0.328442i	−0.338348	+	0.941021i	$0.609868\pi$
$282$	−3.16097	+	2.29658i	−0.188233	+	0.136759i
$283$	−3.13131	−	9.63718i	−0.186137	−	0.572871i	0.813829	−	0.581104i	$-0.197379\pi$
$283$	−3.13131	−	9.63718i	−0.186137	−	0.572871i	−0.999966	+	0.00823329i	$0.997379\pi$
$284$	12.8117			0.760234
$285$	−0.867265			−0.0513723
$286$	−5.50306	−	16.9367i	−0.325403	−	1.00149i
$287$	−5.44384	+	16.7544i	−0.321340	+	0.988982i
$288$	−5.76756	+	17.7507i	−0.339857	+	1.04597i
$289$	−12.2326	−	8.88748i	−0.719563	−	0.522793i
$290$	−0.947512	−	2.91614i	−0.0556398	−	0.171242i
$291$	3.35038	+	2.43419i	0.196403	+	0.142695i
$292$	4.84073	−	3.51700i	0.283282	−	0.205817i
$293$	−6.57282	+	20.2291i	−0.383988	+	1.18179i	0.553223	+	0.833033i	$0.313398\pi$
$293$	−6.57282	+	20.2291i	−0.383988	+	1.18179i	−0.937212	+	0.348761i	$0.886602\pi$
$294$	5.18407	−	3.76645i	0.302341	−	0.219664i
$295$	2.13089	−	1.54818i	0.124065	−	0.0901388i
$296$	1.48479	−	4.56970i	0.0863015	−	0.265609i
$297$	−4.31301	+	3.13358i	−0.250266	+	0.181829i
$298$	5.71896	+	4.15507i	0.331290	+	0.240697i
$299$	5.67873	+	17.4773i	0.328409	+	1.01074i
$300$	2.03673	+	1.47977i	0.117591	+	0.0854348i
$301$	7.56654	−	23.2874i	0.436128	−	1.34226i
$302$	5.07000	−	15.6038i	0.291746	−	0.897900i
$303$	0.246654	+	0.759123i	0.0141699	+	0.0436105i
$304$	6.93472			0.397734
$305$	−3.23678			−0.185338
$306$	−8.91306	−	27.4316i	−0.509526	−	1.56816i
$307$	−13.1394	+	9.54636i	−0.749907	+	0.544839i	−0.895798	−	0.444461i	$-0.853395\pi$
$307$	−13.1394	+	9.54636i	−0.749907	+	0.544839i	0.145891	+	0.989301i	$0.453395\pi$
$308$	7.98000	+	5.79781i	0.454703	+	0.330361i
$309$	9.14210			0.520076
$310$		0			0
$311$	−10.3858			−0.588924			−0.294462	−	0.955663i	$-0.595141\pi$
$311$	−10.3858			−0.588924			−0.294462	+	0.955663i	$0.595141\pi$
$312$	2.23496	+	1.62379i	0.126529	+	0.0919290i
$313$	−25.9239	+	18.8348i	−1.46530	+	1.06461i	−0.483363	+	0.875420i	$0.660585\pi$
$313$	−25.9239	+	18.8348i	−1.46530	+	1.06461i	−0.981941	+	0.189186i	$0.939415\pi$
$314$	2.95999	+	9.10991i	0.167042	+	0.514102i
$315$	−12.3975			−0.698521
$316$	15.9857			0.899264
$317$	7.82267	+	24.0757i	0.439365	+	1.35223i	0.888547	+	0.458786i	$0.151716\pi$
$317$	7.82267	+	24.0757i	0.439365	+	1.35223i	−0.449181	+	0.893441i	$0.648284\pi$
$318$	3.70107	−	11.3907i	0.207546	−	0.638760i
$319$	−0.787452	+	2.42353i	−0.0440889	+	0.135692i
$320$	2.84505	+	2.06705i	0.159043	+	0.115551i
$321$	1.78617	+	5.49726i	0.0996943	+	0.306827i
$322$	−19.8064	−	14.3902i	−1.10377	−	0.801933i
$323$	−6.59558	+	4.79197i	−0.366988	+	0.266632i
$324$	2.99863	−	9.22885i	0.166591	−	0.512714i
$325$	−14.8575	+	10.7946i	−0.824144	+	0.598776i
$326$	0.828919	−	0.602245i	0.0459096	−	0.0333553i
$327$	0.214998	−	0.661695i	0.0118894	−	0.0365918i
$328$	4.07395	−	2.95990i	0.224946	−	0.163433i
$329$	12.7719	+	9.27931i	0.704137	+	0.511585i
$330$	0.639950	+	1.96956i	0.0352281	+	0.108421i
$331$	26.6291	+	19.3472i	1.46367	+	1.06342i	0.982389	+	0.186849i	$0.0598274\pi$
$331$	26.6291	+	19.3472i	1.46367	+	1.06342i	0.481278	+	0.876568i	$0.340173\pi$
$332$	−4.60811	+	14.1823i	−0.252903	+	0.778354i
$333$	−3.82737	+	11.7794i	−0.209739	+	0.645510i
$334$	−1.14235	−	3.51579i	−0.0625066	−	0.192375i
$335$	3.48082			0.190178
$336$	−8.98660			−0.490259
$337$	1.22083	+	3.75733i	0.0665030	+	0.204675i	0.978786	−	0.204885i	$-0.0656821\pi$
$337$	1.22083	+	3.75733i	0.0665030	+	0.204675i	−0.912283	+	0.409560i	$0.865682\pi$
$338$	20.7744	−	15.0935i	1.12998	−	0.820976i
$339$	1.31520	+	0.955551i	0.0714320	+	0.0518984i
$340$	−9.73895			−0.528169
$341$		0			0
$342$	−7.32083			−0.395865
$343$	0.194480	+	0.141298i	0.0105009	+	0.00762938i
$344$	−5.66249	+	4.11404i	−0.305301	+	0.221814i
$345$	−0.660378	−	2.03244i	−0.0355536	−	0.109423i
$346$	7.50739			0.403600
$347$	−13.6844			−0.734619			−0.367310	−	0.930099i	$-0.619721\pi$
$347$	−13.6844			−0.734619			−0.367310	+	0.930099i	$0.619721\pi$
$348$	0.301454	+	0.927780i	0.0161596	+	0.0497342i
$349$	−1.14488	+	3.52357i	−0.0612839	+	0.188613i	−0.977011	−	0.213188i	$-0.931615\pi$
$349$	−1.14488	+	3.52357i	−0.0612839	+	0.188613i	0.915727	+	0.401800i	$0.131615\pi$
$350$	7.56046	−	23.2687i	0.404123	−	1.24376i
$351$	−12.0445	−	8.75082i	−0.642886	−	0.467084i
$352$	−3.89274	−	11.9806i	−0.207484	−	0.638569i
$353$	12.5329	+	9.10566i	0.667057	+	0.484645i	0.869039	−	0.494744i	$-0.164738\pi$
$353$	12.5329	+	9.10566i	0.667057	+	0.484645i	−0.201982	+	0.979389i	$0.564738\pi$
$354$	−1.63062	+	1.18472i	−0.0866666	+	0.0629670i
$355$	3.35847	−	10.3363i	0.178249	−	0.548594i
$356$	3.11090	−	2.26020i	0.164877	−	0.119790i
$357$	8.54711	−	6.20984i	0.452361	−	0.328659i
$358$	2.26632	−	6.97501i	0.119779	−	0.368641i
$359$	4.34391	−	3.15604i	0.229263	−	0.166569i	−0.467223	−	0.884139i	$-0.654746\pi$
$359$	4.34391	−	3.15604i	0.229263	−	0.166569i	0.696486	+	0.717570i	$0.254746\pi$
$360$	2.86700	+	2.08300i	0.151104	+	0.109784i
$361$	−5.23189	−	16.1021i	−0.275363	−	0.847479i
$362$	9.57597	+	6.95735i	0.503302	+	0.365670i
$363$	−1.16555	+	3.58720i	−0.0611757	+	0.188279i
$364$	−8.51206	+	26.1974i	−0.446153	+	1.37312i
$365$	−1.56851	−	4.82738i	−0.0820996	−	0.252677i
$366$	2.47688			0.129469
$367$	−14.7209			−0.768425			−0.384212	−	0.923245i	$-0.625527\pi$
$367$	−14.7209			−0.768425			−0.384212	+	0.923245i	$0.625527\pi$
$368$	5.28044	+	16.2515i	0.275262	+	0.847169i
$369$	−10.5015	+	7.62980i	−0.546688	+	0.397192i
$370$	8.13765	+	5.91235i	0.423056	+	0.307368i
$371$	−48.3926			−2.51242
$372$		0			0
$373$	23.8449			1.23464			0.617320	−	0.786712i	$-0.288218\pi$
$373$	23.8449			1.23464			0.617320	+	0.786712i	$0.288218\pi$
$374$	15.7494	+	11.4426i	0.814383	+	0.591684i
$375$	4.16656	−	3.02718i	0.215160	−	0.156323i
$376$	−1.39449	−	4.29179i	−0.0719152	−	0.221332i
$377$	−7.11622			−0.366504
$378$	19.8339			1.02015
$379$	−6.83764	−	21.0441i	−0.351226	−	1.08096i	−0.958165	−	0.286215i	$-0.907603\pi$
$379$	−6.83764	−	21.0441i	−0.351226	−	1.08096i	0.606939	−	0.794748i	$-0.292397\pi$
$380$	−0.763854	+	2.35090i	−0.0391849	+	0.120599i
$381$	1.48005	−	4.55511i	0.0758250	−	0.233365i
$382$	17.4018	+	12.6432i	0.890354	+	0.646880i
$383$	−7.35417	−	22.6338i	−0.375780	−	1.15653i	−0.942951	−	0.332933i	$-0.891962\pi$
$383$	−7.35417	−	22.6338i	−0.375780	−	1.15653i	0.567170	−	0.823601i	$-0.308038\pi$
$384$	3.30530	+	2.40144i	0.168673	+	0.122548i
$385$	6.76948	−	4.91831i	0.345004	−	0.250660i
$386$	−7.74345	+	23.8319i	−0.394131	+	1.21301i
$387$	14.5964	−	10.6049i	0.741974	−	0.539076i
$388$	9.54927	−	6.93795i	0.484791	−	0.352221i
$389$	5.27010	−	16.2197i	0.267205	−	0.822372i	−0.723972	−	0.689829i	$-0.757686\pi$
$389$	5.27010	−	16.2197i	0.267205	−	0.822372i	0.991177	−	0.132543i	$-0.0423143\pi$
$390$	−4.67873	+	3.39930i	−0.236917	+	0.172130i
$391$	−16.2522	−	11.8079i	−0.821908	−	0.597151i
$392$	2.28699	+	7.03864i	0.115511	+	0.355505i
$393$	4.64268	+	3.37311i	0.234192	+	0.170151i
$394$	−13.3813	+	41.1834i	−0.674140	+	2.07479i
$395$	4.19049	−	12.8970i	0.210847	−	0.648919i
$396$	2.24595	+	6.91231i	0.112863	+	0.347357i
$397$	−10.0215			−0.502965			−0.251482	−	0.967862i	$-0.580918\pi$
$397$	−10.0215			−0.502965			−0.251482	+	0.967862i	$0.580918\pi$
$398$	−12.2076			−0.611912
$399$	−0.828628	−	2.55026i	−0.0414833	−	0.127672i
$400$	−13.8154	+	10.0375i	−0.690771	+	0.501874i
$401$	23.1002	+	16.7832i	1.15357	+	0.838115i	0.988951	−	0.148243i	$-0.0473617\pi$
$401$	23.1002	+	16.7832i	1.15357	+	0.838115i	0.164615	+	0.986358i	$0.447362\pi$
$402$	−2.66363			−0.132850
$403$		0			0
$404$	2.27501			0.113186
$405$	−6.65964	−	4.83851i	−0.330920	−	0.240428i
$406$	7.66983	−	5.57245i	0.380647	−	0.276556i
$407$	−2.58323	−	7.95037i	−0.128046	−	0.394085i
$408$	−3.01993			−0.149509
$409$	−23.0102			−1.13778			−0.568891	−	0.822413i	$-0.692628\pi$
$409$	−23.0102			−1.13778			−0.568891	+	0.822413i	$0.692628\pi$
$410$	3.25762	+	10.0259i	0.160882	+	0.495145i
$411$	−2.43619	+	7.49782i	−0.120168	+	0.369840i
$412$	8.05202	−	24.7816i	0.396694	−	1.22090i
$413$	6.58851	+	4.78683i	0.324200	+	0.235545i
$414$	−5.57444	−	17.1564i	−0.273969	−	0.843189i
$415$	10.2341	+	7.43551i	0.502372	+	0.364995i
$416$	28.4602	−	20.6775i	1.39537	−	1.01380i
$417$	−1.57526	+	4.84816i	−0.0771409	+	0.237415i
$418$	3.99743	−	2.90430i	0.195521	−	0.142054i
$419$	−27.1352	+	19.7149i	−1.32564	+	0.963137i	−0.325800	+	0.945439i	$0.605634\pi$
$419$	−27.1352	+	19.7149i	−1.32564	+	0.963137i	−0.999843	+	0.0176979i	$0.994366\pi$
$420$	0.989867	−	3.04650i	0.0483005	−	0.148654i
$421$	−7.30321	+	5.30610i	−0.355937	+	0.258603i	−0.751355	−	0.659898i	$-0.770600\pi$
$421$	−7.30321	+	5.30610i	−0.355937	+	0.258603i	0.395419	+	0.918501i	$0.370600\pi$
$422$	−28.9866	−	21.0600i	−1.41104	−	1.02518i
$423$	3.59461	+	11.0631i	0.174776	+	0.537904i
$424$	11.1911	+	8.13078i	0.543486	+	0.394866i
$425$	6.20376	−	19.0932i	0.300926	−	0.926156i
$426$	−2.57000	+	7.90964i	−0.124517	+	0.383223i
$427$	−3.09258	−	9.51800i	−0.149661	−	0.460608i
$428$	16.4747			0.796333
$429$	4.80630			0.232050
$430$	−4.52785	−	13.9353i	−0.218352	−	0.672019i
$431$	−9.14737	+	6.64595i	−0.440613	+	0.320124i	−0.785878	−	0.618381i	$-0.787789\pi$
$431$	−9.14737	+	6.64595i	−0.440613	+	0.320124i	0.345265	+	0.938505i	$0.387789\pi$
$432$	−11.1997	−	8.13706i	−0.538846	−	0.391495i
$433$	9.10433			0.437526			0.218763	−	0.975778i	$-0.429798\pi$
$433$	9.10433			0.437526			0.218763	+	0.975778i	$0.429798\pi$
$434$		0			0
$435$	0.827544			0.0396777
$436$	−1.60430	−	1.16559i	−0.0768321	−	0.0558218i
$437$	−4.12503	+	2.99701i	−0.197327	+	0.143367i
$438$	1.20027	+	3.69406i	0.0573512	+	0.176509i
$439$	−39.6053			−1.89026			−0.945128	−	0.326700i	$-0.894063\pi$
$439$	−39.6053			−1.89026			−0.945128	+	0.326700i	$0.894063\pi$
$440$	−2.39184			−0.114027
$441$	−5.89524	−	18.1437i	−0.280726	−	0.863984i
$442$	−16.7995	+	51.7036i	−0.799071	+	2.45929i
$443$	7.80525	−	24.0221i	0.370839	−	1.14132i	−0.575405	−	0.817869i	$-0.695156\pi$
$443$	7.80525	−	24.0221i	0.370839	−	1.14132i	0.946244	−	0.323455i	$-0.104844\pi$
$444$	−2.58902	−	1.88103i	−0.122870	−	0.0892699i
$445$	−1.00800	−	3.10232i	−0.0477840	−	0.147064i
$446$	10.5673	+	7.67761i	0.500377	+	0.363545i
$447$	−1.54350	+	1.12142i	−0.0730049	+	0.0530412i
$448$	−3.36000	+	10.3410i	−0.158745	+	0.488568i
$449$	−1.48204	+	1.07677i	−0.0699419	+	0.0508158i	−0.622207	−	0.782853i	$-0.713764\pi$
$449$	−1.48204	+	1.07677i	−0.0699419	+	0.0508158i	0.552265	+	0.833669i	$0.313764\pi$
$450$	14.5846	−	10.5963i	0.687525	−	0.499516i
$451$	2.70732	−	8.33228i	0.127483	−	0.392352i
$452$	3.74860	−	2.72352i	0.176319	−	0.128103i
$453$	3.58238	+	2.60275i	0.168315	+	0.122288i
$454$	5.15703	+	15.8717i	0.242031	+	0.744896i
$455$	18.9044	+	13.7348i	0.886251	+	0.643899i
$456$	−0.236862	+	0.728985i	−0.0110921	+	0.0341379i
$457$	11.1105	−	34.1946i	0.519728	−	1.59956i	−0.254784	−	0.966998i	$-0.582004\pi$
$457$	11.1105	−	34.1946i	0.519728	−	1.59956i	0.774512	−	0.632559i	$-0.217996\pi$
$458$	−10.2650	−	31.5925i	−0.479653	−	1.47622i
$459$	16.2748			0.759642
$460$	−6.09097			−0.283993
$461$	−0.413073	−	1.27131i	−0.0192387	−	0.0592106i	0.940976	−	0.338473i	$-0.109910\pi$
$461$	−0.413073	−	1.27131i	−0.0192387	−	0.0592106i	−0.960215	+	0.279262i	$0.909910\pi$
$462$	−5.18020	+	3.76364i	−0.241005	+	0.175100i
$463$	9.51938	+	6.91623i	0.442403	+	0.321425i	0.786589	−	0.617477i	$-0.211845\pi$
$463$	9.51938	+	6.91623i	0.442403	+	0.321425i	−0.344186	+	0.938901i	$0.611845\pi$
$464$	−6.61711			−0.307192
$465$		0			0
$466$	−25.2503			−1.16970
$467$	−8.89825	−	6.46496i	−0.411762	−	0.299163i	0.362553	−	0.931963i	$-0.381905\pi$
$467$	−8.89825	−	6.46496i	−0.411762	−	0.299163i	−0.774315	+	0.632801i	$0.781905\pi$
$468$	−16.4203	+	11.9301i	−0.759030	+	0.551468i
$469$	3.32575	+	10.2356i	0.153569	+	0.472637i
$470$	9.44695			0.435755
$471$	−2.58521			−0.119120
$472$	−0.719361	−	2.21397i	−0.0331113	−	0.101906i
$473$	−3.76298	+	11.5813i	−0.173022	+	0.532507i
$474$	−3.20669	+	9.86918i	−0.147288	+	0.453306i
$475$	−4.12236	−	2.99507i	−0.189147	−	0.137423i
$476$	−9.30508	−	28.6381i	−0.426498	−	1.31262i
$477$	−28.8475	−	20.9589i	−1.32084	−	0.959643i
$478$	−14.7458	+	10.7134i	−0.674457	+	0.490022i
$479$	−0.207584	+	0.638877i	−0.00948474	+	0.0291910i	−0.955687	−	0.294385i	$-0.904885\pi$
$479$	−0.207584	+	0.638877i	−0.00948474	+	0.0291910i	0.946202	+	0.323576i	$0.104885\pi$
$480$	−3.30963	+	2.40459i	−0.151063	+	0.109754i
$481$	18.8863	−	13.7217i	0.861139	−	0.625654i
$482$	3.81343	−	11.7365i	0.173697	−	0.534585i
$483$	5.34556	−	3.88378i	0.243232	−	0.176718i
$484$	8.69729	+	6.31895i	0.395331	+	0.287225i
$485$	−3.09419	−	9.52294i	−0.140500	−	0.432415i
$486$	17.9912	+	13.0714i	0.816100	+	0.592931i
$487$	−7.59425	+	23.3727i	−0.344128	+	1.05912i	0.617921	+	0.786241i	$0.287975\pi$
$487$	−7.59425	+	23.3727i	−0.344128	+	1.05912i	−0.962049	+	0.272877i	$0.912025\pi$
$488$	−0.884009	+	2.72070i	−0.0400172	+	0.123160i
$489$	0.0854527	+	0.262996i	0.00386430	+	0.0118931i
$490$	−15.4932			−0.699912
$491$	8.63428			0.389660			0.194830	−	0.980837i	$-0.437585\pi$
$491$	8.63428			0.389660			0.194830	+	0.980837i	$0.437585\pi$
$492$	−1.03642	−	3.18978i	−0.0467255	−	0.143806i
$493$	6.29350	−	4.57249i	0.283445	−	0.205935i
$494$	11.1632	+	8.11052i	0.502255	+	0.364910i
$495$	6.16551			0.277119
$496$		0			0
$497$	33.6035			1.50732
$498$	−7.83144	−	5.68987i	−0.350935	−	0.254969i
$499$	−25.1575	+	18.2780i	−1.12620	+	0.818236i	−0.985138	−	0.171764i	$-0.945053\pi$
$499$	−25.1575	+	18.2780i	−1.12620	+	0.818236i	−0.141067	+	0.990000i	$0.545053\pi$
$500$	−4.53606	−	13.9606i	−0.202859	−	0.624335i
$501$	0.997713			0.0445745
$502$	54.2443			2.42104
$503$	−5.11249	−	15.7346i	−0.227955	−	0.701572i	−0.997978	−	0.0635567i	$-0.979756\pi$
$503$	−5.11249	−	15.7346i	−0.227955	−	0.701572i	0.770024	−	0.638015i	$-0.220244\pi$
$504$	−3.38593	+	10.4208i	−0.150821	+	0.464180i
$505$	0.596371	−	1.83544i	0.0265382	−	0.0816761i
$506$	9.85007	+	7.15649i	0.437889	+	0.318145i
$507$	2.14161	+	6.59121i	0.0951124	+	0.292726i
$508$	−11.0440	−	8.02394i	−0.489998	−	0.356005i
$509$	−24.9963	+	18.1608i	−1.10794	+	0.804965i	−0.982338	−	0.187115i	$-0.940086\pi$
$509$	−24.9963	+	18.1608i	−1.10794	+	0.804965i	−0.125602	+	0.992081i	$0.540086\pi$
$510$	1.95361	−	6.01260i	0.0865074	−	0.266242i
$511$	12.6966	−	9.22464i	0.561666	−	0.408074i
$512$	18.1405	−	13.1798i	0.801705	−	0.582473i
$513$	1.27648	−	3.92860i	0.0563579	−	0.173452i
$514$	−35.8473	+	26.0446i	−1.58116	+	1.14878i
$515$	−17.8827	−	12.9925i	−0.788004	−	0.572519i
$516$	1.44055	+	4.43356i	0.0634167	+	0.195177i
$517$	−6.35169	−	4.61477i	−0.279347	−	0.202957i
$518$	−9.61058	+	29.5783i	−0.422264	+	1.29960i
$519$	−0.626123	+	1.92701i	−0.0274838	+	0.0845863i
$520$	−2.06406	−	6.35252i	−0.0905149	−	0.278576i
$521$	−14.7219			−0.644980			−0.322490	−	0.946573i	$-0.604520\pi$
$521$	−14.7219			−0.644980			−0.322490	+	0.946573i	$0.604520\pi$
$522$	6.98553			0.305748
$523$	−9.38146	−	28.8732i	−0.410223	−	1.26254i	−0.916455	−	0.400138i	$-0.868962\pi$
$523$	−9.38146	−	28.8732i	−0.410223	−	1.26254i	0.506232	−	0.862397i	$-0.331038\pi$
$524$	13.2326	−	9.61405i	0.578069	−	0.419992i
$525$	5.34210	+	3.88126i	0.233148	+	0.169392i
$526$	−7.29764			−0.318192
$527$		0			0
$528$	4.46920			0.194497
$529$	8.44289	+	6.13412i	0.367082	+	0.266701i
$530$	−23.4278	+	17.0213i	−1.01764	+	0.739357i
$531$	1.85432	+	5.70700i	0.0804705	+	0.247663i
$532$	−7.64282			−0.331358
$533$	24.4661			1.05974
$534$	0.771355	+	2.37399i	0.0333798	+	0.102732i
$535$	4.31868	−	13.2915i	0.186713	−	0.574643i
$536$	0.950659	−	2.92583i	0.0410622	−	0.126377i
$537$	1.60135	+	1.16345i	0.0691032	+	0.0502064i
$538$	−7.29103	−	22.4395i	−0.314339	−	0.967435i
$539$	10.4169	+	7.56833i	0.448688	+	0.325991i
$540$	3.99214	−	2.90046i	0.171794	−	0.124816i
$541$	−8.37466	+	25.7746i	−0.360055	+	1.10813i	0.592965	+	0.805228i	$0.297957\pi$
$541$	−8.37466	+	25.7746i	−0.360055	+	1.10813i	−0.953020	+	0.302907i	$0.902043\pi$
$542$	−4.97345	+	3.61342i	−0.213628	+	0.155210i
$543$	−2.58447	+	1.87773i	−0.110910	+	0.0805810i
$544$	−11.8836	+	36.5739i	−0.509504	+	1.56809i
$545$	−1.36094	+	0.988778i	−0.0582961	+	0.0423546i
$546$	−14.4662	−	10.5103i	−0.619096	−	0.449799i
$547$	10.1551	+	31.2542i	0.434201	+	1.33633i	0.893904	+	0.448259i	$0.147956\pi$
$547$	10.1551	+	31.2542i	0.434201	+	1.33633i	−0.459703	+	0.888073i	$0.652044\pi$
$548$	18.1787	+	13.2076i	0.776555	+	0.564200i
$549$	2.27873	−	7.01322i	0.0972539	−	0.299317i
$550$	−3.75995	+	11.5719i	−0.160325	+	0.493429i
$551$	−0.610145	−	1.87783i	−0.0259930	−	0.0799983i
$552$	−1.88873			−0.0803899
$553$	41.9284			1.78298
$554$	−12.0162	−	36.9820i	−0.510519	−	1.57121i
$555$	−2.19628	+	1.59569i	−0.0932269	+	0.0677333i
$556$	11.7545	+	8.54015i	0.498502	+	0.362183i
$557$	−3.79343			−0.160733			−0.0803663	−	0.996765i	$-0.525609\pi$
$557$	−3.79343			−0.160733			−0.0803663	+	0.996765i	$0.525609\pi$
$558$		0			0
$559$	−34.0061			−1.43830
$560$	17.5785	+	12.7715i	0.742826	+	0.539695i
$561$	−4.25063	+	3.08826i	−0.179462	+	0.130387i
$562$	5.35544	+	16.4824i	0.225906	+	0.695266i
$563$	−8.97818			−0.378385			−0.189193	−	0.981940i	$-0.560587\pi$
$563$	−8.97818			−0.378385			−0.189193	+	0.981940i	$0.560587\pi$
$564$	−3.00558			−0.126558
$565$	−1.21464	−	3.73826i	−0.0511001	−	0.157270i
$566$	5.79357	−	17.8308i	0.243522	−	0.749484i
$567$	7.86505	−	24.2061i	0.330301	−	1.01656i
$568$	−7.77100	−	5.64596i	−0.326064	−	0.236899i
$569$	2.93430	+	9.03084i	0.123012	+	0.378592i	0.993534	−	0.113538i	$-0.0362184\pi$
$569$	2.93430	+	9.03084i	0.123012	+	0.378592i	−0.870522	+	0.492130i	$0.836218\pi$
$570$	−1.29816	−	0.943171i	−0.0543741	−	0.0395051i
$571$	−5.18447	+	3.76674i	−0.216963	+	0.157633i	−0.690959	−	0.722894i	$-0.742811\pi$
$571$	−5.18447	+	3.76674i	−0.216963	+	0.157633i	0.473995	+	0.880527i	$0.342811\pi$
$572$	4.23320	−	13.0285i	0.176999	−	0.544747i
$573$	−4.69660	+	3.41228i	−0.196203	+	0.142550i
$574$	−26.3694	+	19.1585i	−1.10064	+	0.799661i
$575$	3.87998	−	11.9413i	0.161806	−	0.497988i
$576$	−6.48167	+	4.70921i	−0.270069	+	0.196217i
$577$	−6.37116	−	4.62892i	−0.265235	−	0.192704i	0.447217	−	0.894426i	$-0.352415\pi$
$577$	−6.37116	−	4.62892i	−0.265235	−	0.192704i	−0.712452	+	0.701721i	$0.752415\pi$
$578$	−8.64495	−	26.6064i	−0.359582	−	1.10668i
$579$	−5.47140	−	3.97521i	−0.227384	−	0.165204i
$580$	0.728869	−	2.24323i	0.0302646	−	0.0931450i
$581$	−12.0865	+	37.1984i	−0.501432	+	1.54325i
$582$	2.36777	+	7.28724i	0.0981471	+	0.302066i
$583$	24.0665			0.996733
$584$	−4.48607			−0.185635
$585$	5.32058	+	16.3750i	0.219979	+	0.677025i
$586$	−31.8381	+	23.1317i	−1.31522	+	0.955563i
$587$	−37.2778	−	27.0839i	−1.53862	−	1.11787i	−0.951193	−	0.308595i	$-0.900141\pi$
$587$	−37.2778	−	27.0839i	−1.53862	−	1.11787i	−0.587426	−	0.809278i	$-0.699859\pi$
$588$	4.92922			0.203278
$589$		0			0
$590$	4.87331			0.200631
$591$	−9.45501	−	6.86947i	−0.388927	−	0.282572i
$592$	17.5616	−	12.7593i	0.721779	−	0.524403i
$593$	2.65526	+	8.17204i	0.109038	+	0.335586i	0.990657	−	0.136377i	$-0.0435458\pi$
$593$	2.65526	+	8.17204i	0.109038	+	0.335586i	−0.881619	+	0.471962i	$0.843546\pi$
$594$	−9.86377			−0.404715
$595$	−25.5441			−1.04720
$596$	1.68038	+	5.17167i	0.0688309	+	0.211840i
$597$	1.01813	−	3.13347i	0.0416691	−	0.128244i
$598$	−10.5068	+	32.3367i	−0.429656	+	1.32234i
$599$	20.5548	+	14.9339i	0.839846	+	0.610184i	0.922328	−	0.386409i	$-0.126285\pi$
$599$	20.5548	+	14.9339i	0.839846	+	0.610184i	−0.0824816	+	0.996593i	$0.526285\pi$
$600$	−0.583273	−	1.79513i	−0.0238120	−	0.0732859i
$601$	20.3593	+	14.7919i	0.830474	+	0.603375i	0.919693	−	0.392637i	$-0.128437\pi$
$601$	20.3593	+	14.7919i	0.830474	+	0.603375i	−0.0892191	+	0.996012i	$0.528437\pi$
$602$	36.6516	−	26.6289i	1.49381	−	1.08531i
$603$	−2.45054	+	7.54198i	−0.0997936	+	0.307133i
$604$	10.2105	−	7.41838i	0.415460	−	0.301850i
$605$	7.37795	−	5.36040i	0.299956	−	0.217931i
$606$	−0.456361	+	1.40453i	−0.0185384	+	0.0570553i
$607$	−7.59425	+	5.51754i	−0.308241	+	0.223950i	−0.731141	−	0.682226i	$-0.761012\pi$
$607$	−7.59425	+	5.51754i	−0.308241	+	0.223950i	0.422900	+	0.906176i	$0.361012\pi$
$608$	7.89657	+	5.73720i	0.320248	+	0.232674i
$609$	0.790677	+	2.43345i	0.0320398	+	0.0986085i
$610$	−4.84497	−	3.52008i	−0.196167	−	0.142524i
$611$	6.77518	−	20.8519i	0.274095	−	0.843576i
$612$	6.85633	−	21.1016i	0.277151	−	0.852982i
$613$	3.54936	+	10.9238i	0.143357	+	0.441208i	0.996796	−	0.0799850i	$-0.0254872\pi$
$613$	3.54936	+	10.9238i	0.143357	+	0.441208i	−0.853439	+	0.521193i	$0.825487\pi$
$614$	−30.0496			−1.21270
$615$	−2.84516			−0.114728
$616$	−2.28528	−	7.03338i	−0.0920768	−	0.283383i
$617$	1.82303	−	1.32451i	0.0733925	−	0.0533227i	−0.550484	−	0.834846i	$-0.685557\pi$
$617$	1.82303	−	1.32451i	0.0733925	−	0.0533227i	0.623877	+	0.781523i	$0.285557\pi$
$618$	13.6843	+	9.94226i	0.550465	+	0.399936i
$619$	23.6684			0.951314			0.475657	−	0.879631i	$-0.342210\pi$
$619$	23.6684			0.951314			0.475657	+	0.879631i	$0.342210\pi$
$620$		0			0
$621$	10.1786			0.408455
$622$	−15.5460	−	11.2948i	−0.623336	−	0.452880i
$623$	8.15949	−	5.92822i	0.326903	−	0.237509i
$624$	3.85673	+	11.8698i	0.154393	+	0.475172i
$625$	5.25913			0.210365
$626$	−59.2874			−2.36960
$627$	0.412092	+	1.26829i	0.0164574	+	0.0506506i
$628$	−2.27696	+	7.00776i	−0.0908605	+	0.279640i
$629$	−7.88599	+	24.2706i	−0.314435	+	0.967731i
$630$	−18.5572	−	13.4826i	−0.739337	−	0.537160i
$631$	−10.7235	−	33.0035i	−0.426896	−	1.31385i	−0.901167	−	0.433471i	$-0.857289\pi$
$631$	−10.7235	−	33.0035i	−0.426896	−	1.31385i	0.474272	−	0.880379i	$-0.342711\pi$
$632$	−9.69619	−	7.04469i	−0.385694	−	0.280223i
$633$	7.82323	−	5.68391i	0.310945	−	0.225915i
$634$	−14.4736	+	44.5450i	−0.574819	+	1.76911i
$635$	−9.36869	+	6.80675i	−0.371785	+	0.270118i
$636$	7.45362	−	5.41537i	0.295555	−	0.214734i
$637$	−11.1115	+	34.1976i	−0.440252	+	1.35496i
$638$	−3.81434	+	2.77128i	−0.151011	+	0.109716i
$639$	20.0315	+	14.5537i	0.792434	+	0.575737i
$640$	−3.05256	−	9.39481i	−0.120663	−	0.371363i
$641$	−21.3522	−	15.5133i	−0.843361	−	0.612738i	0.0799466	−	0.996799i	$-0.474525\pi$
$641$	−21.3522	−	15.5133i	−0.843361	−	0.612738i	−0.923307	+	0.384062i	$0.874525\pi$
$642$	−3.30478	+	10.1711i	−0.130429	+	0.401420i
$643$	3.56429	−	10.9698i	0.140562	−	0.432605i	−0.855852	−	0.517221i	$-0.826966\pi$
$643$	3.56429	−	10.9698i	0.140562	−	0.432605i	0.996414	+	0.0846161i	$0.0269664\pi$
$644$	−5.81962	−	17.9109i	−0.229325	−	0.705790i
$645$	3.95456			0.155711
$646$	−15.0840			−0.593471
$647$	13.3022	+	40.9400i	0.522963	+	1.60952i	0.768308	+	0.640080i	$0.221099\pi$
$647$	13.3022	+	40.9400i	0.522963	+	1.60952i	−0.245345	+	0.969436i	$0.578901\pi$
$648$	−5.88588	+	4.27634i	−0.231219	+	0.167991i
$649$	−3.27659	−	2.38058i	−0.128617	−	0.0934459i
$650$	−33.9787			−1.33276
$651$		0			0
$652$	0.788169			0.0308671
$653$	38.6408	+	28.0742i	1.51213	+	1.09863i	0.965221	+	0.261434i	$0.0841954\pi$
$653$	38.6408	+	28.0742i	1.51213	+	1.09863i	0.546908	+	0.837192i	$0.315805\pi$
$654$	1.04143	−	0.756642i	0.0407231	−	0.0295871i
$655$	−4.28768	−	13.1961i	−0.167533	−	0.515615i
$656$	22.7501			0.888243
$657$	11.5639			0.451149
$658$	9.02609	+	27.7794i	0.351874	+	1.08296i
$659$	−7.06587	+	21.7465i	−0.275247	+	0.847124i	0.713906	+	0.700241i	$0.246924\pi$
$659$	−7.06587	+	21.7465i	−0.275247	+	0.847124i	−0.989154	+	0.146883i	$0.953076\pi$
$660$	−0.492279	+	1.51508i	−0.0191619	+	0.0589743i
$661$	16.1030	+	11.6995i	0.626333	+	0.455058i	0.855128	−	0.518417i	$-0.173478\pi$
$661$	16.1030	+	11.6995i	0.626333	+	0.455058i	−0.228795	+	0.973475i	$0.573478\pi$
$662$	18.8192	+	57.9195i	0.731429	+	2.25111i
$663$	−11.8703	−	8.62426i	−0.461003	−	0.334938i
$664$	9.04504	−	6.57161i	0.351016	−	0.255028i
$665$	−2.00349	+	6.16612i	−0.0776922	+	0.239112i
$666$	−18.5394	+	13.4697i	−0.718388	+	0.521940i
$667$	3.93610	−	2.85975i	0.152407	−	0.110730i
$668$	0.878747	−	2.70451i	0.0339998	−	0.104640i
$669$	−2.85203	+	2.07212i	−0.110266	+	0.0801127i
$670$	5.21026	+	3.78548i	0.201290	+	0.146246i
$671$	1.53800	+	4.73347i	0.0593738	+	0.182734i
$672$	−10.2330	−	7.43474i	−0.394748	−	0.286801i
$673$	5.38525	−	16.5741i	0.207586	−	0.638884i	−0.792011	−	0.610507i	$-0.790966\pi$
$673$	5.38525	−	16.5741i	0.207586	−	0.638884i	0.999597	−	0.0283777i	$-0.00903410\pi$
$674$	−2.25879	+	6.95184i	−0.0870054	+	0.267775i
$675$	3.14333	+	9.67419i	0.120987	+	0.372360i
$676$	19.7531			0.759734
$677$	31.8257			1.22316			0.611581	−	0.791182i	$-0.290534\pi$
$677$	31.8257			1.22316			0.611581	+	0.791182i	$0.290534\pi$
$678$	0.929475	+	2.86063i	0.0356963	+	0.109862i
$679$	25.0466	−	18.1974i	0.961199	−	0.698352i
$680$	5.90721	+	4.29184i	0.226531	+	0.164585i
$681$	−4.50408			−0.172597
$682$		0			0
$683$	19.9935			0.765031			0.382515	−	0.923949i	$-0.375058\pi$
$683$	19.9935			0.765031			0.382515	+	0.923949i	$0.375058\pi$
$684$	−4.55599	−	3.31012i	−0.174203	−	0.126566i
$685$	15.4211	−	11.2041i	0.589209	−	0.428086i
$686$	0.137442	+	0.423004i	0.00524757	+	0.0161504i
$687$	8.96533			0.342049
$688$	−31.6210			−1.20554
$689$	20.7684	+	63.9185i	0.791212	+	2.43510i
$690$	1.22184	−	3.76042i	0.0465145	−	0.143157i
$691$	−4.40644	+	13.5616i	−0.167629	+	0.515909i	−0.999220	−	0.0394789i	$-0.987430\pi$
$691$	−4.40644	+	13.5616i	−0.167629	+	0.515909i	0.831591	+	0.555388i	$0.187430\pi$
$692$	4.67209	+	3.39447i	0.177606	+	0.129039i
$693$	5.89084	+	18.1301i	0.223774	+	0.688707i
$694$	−20.4835	−	14.8822i	−0.777544	−	0.564919i
$695$	9.97141	−	7.24466i	0.378237	−	0.274805i
$696$	0.226013	−	0.695597i	0.00856701	−	0.0263665i
$697$	−21.6375	+	15.7206i	−0.819579	+	0.595459i
$698$	−5.54568	+	4.02917i	−0.209907	+	0.152506i
$699$	2.10590	−	6.48129i	0.0796525	−	0.245145i
$700$	15.2261	−	11.0624i	0.575492	−	0.418120i
$701$	37.6558	+	27.3585i	1.42224	+	1.03332i	0.991397	+	0.130890i	$0.0417834\pi$
$701$	37.6558	+	27.3585i	1.42224	+	1.03332i	0.430842	+	0.902427i	$0.358217\pi$
$702$	−8.51202	−	26.1973i	−0.321265	−	0.988753i
$703$	5.24019	+	3.80722i	0.197638	+	0.143592i
$704$	1.67099	−	5.14278i	0.0629778	−	0.193826i
$705$	−0.787885	+	2.42486i	−0.0296735	+	0.0913255i
$706$	8.85718	+	27.2596i	0.333344	+	1.02593i
$707$	5.96706			0.224414
$708$	−1.55046			−0.0582699
$709$	6.86831	+	21.1385i	0.257945	+	0.793873i	0.993235	+	0.116120i	$0.0370458\pi$
$709$	6.86831	+	21.1385i	0.257945	+	0.793873i	−0.735290	+	0.677752i	$0.762954\pi$
$710$	16.2681	−	11.8195i	0.610530	−	0.443576i
$711$	24.9941	+	18.1593i	0.937353	+	0.681027i
$712$	−2.88297			−0.108044
$713$		0			0
$714$	19.5471			0.731531
$715$	−9.40149	−	6.83058i	−0.351596	−	0.255449i
$716$	4.56417	−	3.31606i	0.170571	−	0.123927i
$717$	−1.52013	−	4.67849i	−0.0567704	−	0.174721i
$718$	9.93445			0.370750
$719$	44.0914			1.64433			0.822165	−	0.569249i	$-0.192766\pi$
$719$	44.0914			1.64433			0.822165	+	0.569249i	$0.192766\pi$
$720$	4.94741	+	15.2266i	0.184379	+	0.567460i
$721$	21.1194	−	64.9990i	0.786529	−	2.42069i
$722$	9.68008	−	29.7922i	0.360255	−	1.10875i
$723$	2.69451	+	1.95768i	0.100210	+	0.0728068i
$724$	2.81367	+	8.65957i	0.104569	+	0.321830i
$725$	3.93355	+	2.85789i	0.146089	+	0.106140i
$726$	−5.64583	+	4.10193i	−0.209536	+	0.152237i
$727$	12.0548	−	37.1009i	0.447089	−	1.37600i	−0.433088	−	0.901352i	$-0.642576\pi$
$727$	12.0548	−	37.1009i	0.447089	−	1.37600i	0.880177	−	0.474646i	$-0.157424\pi$
$728$	16.7079	−	12.1390i	0.619237	−	0.449902i
$729$	11.6919	−	8.49467i	0.433034	−	0.314618i
$730$	2.90207	−	8.93165i	0.107410	−	0.330575i
$731$	30.0746	−	21.8505i	1.11235	−	0.808168i
$732$	1.54145	+	1.11993i	0.0569735	+	0.0413936i
$733$	2.10474	+	6.47772i	0.0777403	+	0.239260i	0.982373	−	0.186933i	$-0.0598546\pi$
$733$	2.10474	+	6.47772i	0.0777403	+	0.239260i	−0.904632	+	0.426193i	$0.859855\pi$
$734$	−22.0350	−	16.0093i	−0.813325	−	0.590915i
$735$	1.29215	−	3.97683i	0.0476617	−	0.146688i
$736$	−7.43228	+	22.8742i	−0.273957	+	0.843154i
$737$	−1.65396	−	5.09036i	−0.0609243	−	0.187506i
$738$	−24.0168			−0.884070
$739$	−33.2004			−1.22130			−0.610649	−	0.791902i	$-0.709091\pi$
$739$	−33.2004			−1.22130			−0.610649	+	0.791902i	$0.709091\pi$
$740$	2.39105	+	7.35890i	0.0878968	+	0.270518i
$741$	−3.01284	+	2.18896i	−0.110680	+	0.0804134i
$742$	−72.4363	−	52.6281i	−2.65922	−	1.93204i
$743$	22.5011			0.825484			0.412742	−	0.910848i	$-0.364571\pi$
$743$	22.5011			0.825484			0.412742	+	0.910848i	$0.364571\pi$
$744$		0			0
$745$	4.61293			0.169005
$746$	35.6922	+	25.9319i	1.30678	+	0.949433i
$747$	−23.3156	+	16.9398i	−0.853074	+	0.619795i
$748$	4.62759	+	14.2422i	0.169201	+	0.520748i
$749$	43.2110			1.57890
$750$	9.52884			0.347944
$751$	1.98220	+	6.10058i	0.0723314	+	0.222613i	0.980686	−	0.195587i	$-0.0626611\pi$
$751$	1.98220	+	6.10058i	0.0723314	+	0.222613i	−0.908355	+	0.418200i	$0.862661\pi$
$752$	6.29999	−	19.3894i	0.229737	−	0.707058i
$753$	−4.52403	+	13.9235i	−0.164865	+	0.507401i
$754$	−10.6519	−	7.73906i	−0.387919	−	0.281840i
$755$	−3.30845	−	10.1824i	−0.120407	−	0.370574i
$756$	12.3433	+	8.96793i	0.448921	+	0.326161i
$757$	20.9324	−	15.2083i	0.760801	−	0.552754i	−0.138355	−	0.990383i	$-0.544181\pi$
$757$	20.9324	−	15.2083i	0.760801	−	0.552754i	0.899156	+	0.437628i	$0.144181\pi$
$758$	12.6511	−	38.9359i	0.459507	−	1.41422i
$759$	−2.65845	+	1.93147i	−0.0964955	+	0.0701081i
$760$	1.49933	−	1.08933i	0.0543866	−	0.0395142i
$761$	−13.8231	+	42.5432i	−0.501088	+	1.54219i	0.306161	+	0.951980i	$0.400955\pi$
$761$	−13.8231	+	42.5432i	−0.501088	+	1.54219i	−0.807249	+	0.590211i	$0.799045\pi$
$762$	7.16920	−	5.20873i	0.259713	−	0.188692i
$763$	−4.20788	−	3.05720i	−0.152336	−	0.110678i
$764$	5.11310	+	15.7365i	0.184985	+	0.569327i
$765$	−15.2272	−	11.0632i	−0.550539	−	0.399990i
$766$	13.6067	−	41.8772i	0.491631	−	1.51308i
$767$	3.49505	−	10.7567i	0.126199	−	0.388401i
$768$	3.23482	+	9.95575i	0.116726	+	0.359247i
$769$	12.6875			0.457524			0.228762	−	0.973482i	$-0.426532\pi$
$769$	12.6875			0.457524			0.228762	+	0.973482i	$0.426532\pi$
$770$	15.4817			0.557920
$771$	−3.69547	−	11.3735i	−0.133089	−	0.409606i
$772$	−15.5946	+	11.3302i	−0.561263	+	0.407781i
$773$	−7.44923	−	5.41219i	−0.267930	−	0.194663i	0.445706	−	0.895180i	$-0.352953\pi$
$773$	−7.44923	−	5.41219i	−0.267930	−	0.194663i	−0.713636	+	0.700517i	$0.752953\pi$
$774$	33.3816			1.19988
$775$		0			0
$776$	−8.84964			−0.317683
$777$	−6.79068	−	4.93372i	−0.243614	−	0.176996i
$778$	25.5279	−	18.5471i	0.915218	−	0.664945i
$779$	2.09772	+	6.45613i	0.0751587	+	0.231315i
$780$	−4.44873			−0.159290
$781$	−16.7116			−0.597989
$782$	−11.4857	−	35.3493i	−0.410727	−	1.26409i
$783$	−1.21801	+	3.74866i	−0.0435283	+	0.133966i
$784$	−10.3321	+	31.7990i	−0.369005	+	1.13568i
$785$	5.05688	+	3.67404i	0.180488	+	0.131132i
$786$	3.28106	+	10.0981i	0.117031	+	0.360186i
$787$	37.8259	+	27.4821i	1.34835	+	0.979631i	0.999092	+	0.0426032i	$0.0135651\pi$
$787$	37.8259	+	27.4821i	1.34835	+	0.979631i	0.349254	+	0.937028i	$0.386435\pi$
$788$	−26.9487	+	19.5794i	−0.960009	+	0.697487i
$789$	0.608631	−	1.87317i	0.0216678	−	0.0666867i
$790$	20.2983	−	14.7476i	0.722183	−	0.524697i
$791$	9.83211	−	7.14345i	0.349590	−	0.253992i
$792$	1.68388	−	5.18246i	0.0598342	−	0.184151i
$793$	−11.2445	+	8.16957i	−0.399302	+	0.290110i
$794$	−15.0007	−	10.8986i	−0.532354	−	0.386778i
$795$	−2.41515	−	7.43307i	−0.0856566	−	0.263624i
$796$	−7.59719	−	5.51968i	−0.269275	−	0.195640i
$797$	−0.111240	+	0.342360i	−0.00394031	+	0.0121270i	−0.953007	−	0.302947i	$-0.902029\pi$
$797$	−0.111240	+	0.342360i	−0.00394031	+	0.0121270i	0.949067	+	0.315074i	$0.102029\pi$
$798$	1.53313	−	4.71850i	0.0542723	−	0.167033i
$799$	7.40638	+	22.7945i	0.262019	+	0.806412i
$800$	−24.0358			−0.849793
$801$	7.43151			0.262580
$802$	16.3252	+	50.2439i	0.576464	+	1.77417i
$803$	−6.31427	+	4.58758i	−0.222826	+	0.161892i
$804$	−1.65766	−	1.20436i	−0.0584613	−	0.0424746i
$805$	−15.9759			−0.563075
$806$		0			0
$807$	6.36789			0.224160
$808$	−1.37992	−	1.00257i	−0.0485453	−	0.0352702i
$809$	23.2358	−	16.8818i	0.816929	−	0.593533i	−0.0989025	−	0.995097i	$-0.531533\pi$
$809$	23.2358	−	16.8818i	0.816929	−	0.593533i	0.915831	+	0.401564i	$0.131533\pi$
$810$	−4.70648	−	14.4850i	−0.165369	−	0.508953i
$811$	−19.9135			−0.699258			−0.349629	−	0.936888i	$-0.613692\pi$
$811$	−19.9135			−0.699258			−0.349629	+	0.936888i	$0.613692\pi$
$812$	7.29278			0.255926
$813$	−0.512709	−	1.57796i	−0.0179815	−	0.0553413i
$814$	4.77951	−	14.7098i	0.167522	−	0.515579i
$815$	0.206611	−	0.635884i	0.00723728	−	0.0222741i
$816$	−11.0377	−	8.01938i	−0.386398	−	0.280734i
$817$	−2.91568	−	8.97355i	−0.102007	−	0.313945i
$818$	−34.4428	−	25.0242i	−1.20427	−	0.874950i
$819$	−43.0685	+	31.2911i	−1.50493	+	1.09340i
$820$	−2.50591	+	7.71239i	−0.0875101	+	0.269328i
$821$	−37.2415	+	27.0575i	−1.29974	+	0.944315i	−0.999953	−	0.00969217i	$-0.996915\pi$
$821$	−37.2415	+	27.0575i	−1.29974	+	0.944315i	−0.299785	+	0.954007i	$0.596915\pi$
$822$	−11.8007	+	8.57369i	−0.411596	+	0.299042i
$823$	−4.08844	+	12.5829i	−0.142514	+	0.438613i	−0.996683	−	0.0813827i	$-0.974066\pi$
$823$	−4.08844	+	12.5829i	−0.142514	+	0.438613i	0.854169	+	0.519996i	$0.174066\pi$
$824$	−15.8049	+	11.4830i	−0.550591	+	0.400028i
$825$	−2.65672	−	1.93022i	−0.0924953	−	0.0672017i
$826$	4.65621	+	14.3303i	0.162010	+	0.498616i
$827$	−9.22900	−	6.70526i	−0.320924	−	0.233165i	0.415646	−	0.909527i	$-0.363556\pi$
$827$	−9.22900	−	6.70526i	−0.320924	−	0.233165i	−0.736570	+	0.676362i	$0.763556\pi$
$828$	4.28811	−	13.1975i	0.149022	−	0.458643i
$829$	13.3072	−	40.9553i	0.462177	−	1.42244i	−0.400321	−	0.916375i	$-0.631101\pi$
$829$	13.3072	−	40.9553i	0.462177	−	1.42244i	0.862498	−	0.506061i	$-0.168899\pi$
$830$	7.23261	+	22.2597i	0.251047	+	0.772644i
$831$	10.4948			0.364059
$832$	15.1008			0.523525
$833$	−12.1466	−	37.3835i	−0.420856	−	1.29526i
$834$	−7.63042	+	5.54382i	−0.264220	+	0.191967i
$835$	−1.95160	−	1.41792i	−0.0675380	−	0.0490692i
$836$	3.80091			0.131457
$837$		0			0
$838$	−62.0578			−2.14375
$839$	−35.0876	−	25.4926i	−1.21136	−	0.880102i	−0.216004	−	0.976393i	$-0.569302\pi$
$839$	−35.0876	−	25.4926i	−1.21136	−	0.880102i	−0.995353	+	0.0962904i	$0.969302\pi$
$840$	−1.94296	+	1.41165i	−0.0670386	+	0.0487064i
$841$	−8.37929	−	25.7888i	−0.288941	−	0.889269i
$842$	−16.7023			−0.575600
$843$	−4.67737			−0.161097
$844$	−8.51700	−	26.2126i	−0.293167	−	0.902276i
$845$	5.17809	−	15.9365i	0.178132	−	0.548233i
$846$	−6.65076	+	20.4689i	−0.228658	+	0.703737i
$847$	22.8119	+	16.5738i	0.783826	+	0.569483i
$848$	19.3117	+	59.4354i	0.663168	+	2.04102i
$849$	4.09365	+	2.97421i	0.140494	+	0.102075i
$850$	30.0504	−	21.8329i	1.03072	−	0.748862i
$851$	−4.93208	+	15.1794i	−0.169070	+	0.520343i
$852$	−5.17575	+	3.76040i	−0.177318	+	0.128829i
$853$	−5.46275	+	3.96892i	−0.187041	+	0.135893i	−0.677365	−	0.735647i	$-0.736878\pi$
$853$	−5.46275	+	3.96892i	−0.187041	+	0.135893i	0.490324	+	0.871540i	$0.336878\pi$
$854$	5.72192	−	17.6103i	0.195800	−	0.602611i
$855$	−3.86487	+	2.80799i	−0.132176	+	0.0960314i
$856$	−9.99279	−	7.26019i	−0.341547	−	0.248148i
$857$	−7.67788	−	23.6301i	−0.262271	−	0.807188i	−0.992309	−	0.123782i	$-0.960498\pi$
$857$	−7.67788	−	23.6301i	−0.262271	−	0.807188i	0.730038	−	0.683406i	$-0.239502\pi$
$858$	7.19430	+	5.22696i	0.245609	+	0.178446i
$859$	0.493769	−	1.51966i	0.0168472	−	0.0518502i	−0.942280	−	0.334827i	$-0.891322\pi$
$859$	0.493769	−	1.51966i	0.0168472	−	0.0518502i	0.959127	+	0.282977i	$0.0913220\pi$
$860$	3.48303	−	10.7197i	0.118770	−	0.365537i
$861$	−2.71841	−	8.36639i	−0.0926430	−	0.285126i
$862$	−20.9198			−0.712533
$863$	−30.7713			−1.04747			−0.523734	−	0.851882i	$-0.675461\pi$
$863$	−30.7713			−1.04747			−0.523734	+	0.851882i	$0.675461\pi$
$864$	−6.02120	−	18.5314i	−0.204845	−	0.630450i
$865$	3.96336	−	2.87955i	0.134758	−	0.0979076i
$866$	13.6278	+	9.90118i	0.463092	+	0.336456i
$867$	7.55038			0.256424
$868$		0			0
$869$	−20.8518			−0.707348
$870$	1.23871	+	0.899974i	0.0419961	+	0.0305120i
$871$	12.0922	−	8.78552i	0.409730	−	0.297686i
$872$	0.459434	+	1.41399i	0.0155584	+	0.0478838i
$873$	22.8119			0.772067
$874$	−9.43387			−0.319105
$875$	−11.8975	−	36.6168i	−0.402209	−	1.23787i
$876$	−0.923304	+	2.84164i	−0.0311955	+	0.0960100i
$877$	2.57438	−	7.92312i	0.0869306	−	0.267545i	−0.898136	−	0.439717i	$-0.855079\pi$
$877$	2.57438	−	7.92312i	0.0869306	−	0.267545i	0.985067	+	0.172173i	$0.0550787\pi$
$878$	−59.2831	−	43.0717i	−2.00071	−	1.45360i
$879$	−3.28217	−	10.1015i	−0.110705	−	0.340714i
$880$	−8.74210	−	6.35151i	−0.294696	−	0.214109i
$881$	−17.6878	+	12.8510i	−0.595919	+	0.432960i	−0.844428	−	0.535669i	$-0.820059\pi$
$881$	−17.6878	+	12.8510i	−0.595919	+	0.432960i	0.248509	+	0.968630i	$0.420059\pi$
$882$	10.9074	−	33.5695i	0.367271	−	1.13035i
$883$	10.0888	−	7.32993i	0.339515	−	0.246672i	−0.404942	−	0.914342i	$-0.632708\pi$
$883$	10.0888	−	7.32993i	0.339515	−	0.246672i	0.744457	+	0.667670i	$0.232708\pi$
$884$	−33.8327	+	24.5809i	−1.13792	+	0.826745i
$885$	−0.406439	+	1.25089i	−0.0136623	+	0.0420482i
$886$	37.8079	−	27.4690i	1.27018	−	0.922840i
$887$	20.0166	+	14.5429i	0.672093	+	0.488304i	0.870725	−	0.491770i	$-0.163650\pi$
$887$	20.0166	+	14.5429i	0.672093	+	0.488304i	−0.198632	+	0.980074i	$0.563650\pi$
$888$	0.741435	+	2.28190i	0.0248809	+	0.0765756i
$889$	−28.9670	−	21.0458i	−0.971524	−	0.705853i
$890$	1.86502	−	5.73993i	0.0625155	−	0.192403i
$891$	−3.91143	+	12.0381i	−0.131038	+	0.403293i
$892$	3.10495	+	9.55605i	0.103961	+	0.319960i
$893$	6.08331			0.203570
$894$	−3.52995			−0.118059
$895$	−1.47890	−	4.55158i	−0.0494341	−	0.152143i
$896$	24.7096	−	17.9525i	0.825489	−	0.599753i
$897$	−7.42395	−	5.39382i	−0.247879	−	0.180094i
$898$	−3.38940			−0.113106
$899$		0			0
$900$	13.8676			0.462255
$901$	−59.4378	−	43.1841i	−1.98016	−	1.43867i
$902$	13.1140	−	9.52788i	0.436648	−	0.317244i
$903$	3.77839	+	11.6287i	0.125737	+	0.386978i
$904$	−3.47395			−0.115542
$905$	7.72400			0.256754
$906$	2.53173	+	7.79185i	0.0841109	+	0.258867i
$907$	−9.71592	+	29.9025i	−0.322612	+	0.992897i	0.649895	+	0.760024i	$0.274813\pi$
$907$	−9.71592	+	29.9025i	−0.322612	+	0.992897i	−0.972507	+	0.232873i	$0.925187\pi$
$908$	−3.96702	+	12.2092i	−0.131650	+	0.405178i
$909$	3.55705	+	2.58434i	0.117980	+	0.0857173i
$910$	13.3600	+	41.1179i	0.442880	+	1.36305i
$911$	−6.78267	−	4.92790i	−0.224720	−	0.163269i	0.469729	−	0.882811i	$-0.344352\pi$
$911$	−6.78267	−	4.92790i	−0.224720	−	0.163269i	−0.694449	+	0.719542i	$0.744352\pi$
$912$	−2.80153	+	2.03543i	−0.0927680	+	0.0673999i
$913$	6.01083	−	18.4994i	0.198929	−	0.612242i
$914$	53.8182	−	39.1012i	1.78015	−	1.29335i
$915$	1.30762	−	0.950039i	0.0432285	−	0.0314073i
$916$	7.89632	−	24.3024i	0.260902	−	0.802973i
$917$	34.7075	−	25.2165i	1.14614	−	0.832721i
$918$	24.3609	+	17.6992i	0.804029	+	0.584161i
$919$	−12.4033	−	38.1735i	−0.409148	−	1.25923i	−0.917382	−	0.398008i	$-0.869702\pi$
$919$	−12.4033	−	38.1735i	−0.409148	−	1.25923i	0.508234	−	0.861219i	$-0.330298\pi$
$920$	3.69451	+	2.68422i	0.121804	+	0.0884961i
$921$	2.50617	−	7.71319i	0.0825810	−	0.254158i
$922$	0.764269	−	2.35218i	0.0251699	−	0.0774649i
$923$	−14.4214	−	44.3846i	−0.474687	−	1.46094i
$924$	−4.92554			−0.162039
$925$	−15.9502			−0.524440
$926$	6.72750	+	20.7051i	0.221079	+	0.680412i
$927$	40.7408	−	29.5999i	1.33810	−	0.972189i
$928$	−7.53491	−	5.47443i	−0.247345	−	0.179707i
$929$	54.6187			1.79198			0.895991	−	0.444072i	$-0.146467\pi$
$929$	54.6187			1.79198			0.895991	+	0.444072i	$0.146467\pi$
$930$		0			0
$931$	−9.97677			−0.326975
$932$	−15.7141	−	11.4170i	−0.514732	−	0.373975i
$933$	4.19572	−	3.04837i	0.137362	−	0.0997991i
$934$	−6.28854	−	19.3541i	−0.205767	−	0.633286i
$935$	12.7035			0.415450
$936$	15.2173			0.497392
$937$	−4.13770	−	12.7345i	−0.135173	−	0.416019i	0.860444	−	0.509545i	$-0.170186\pi$
$937$	−4.13770	−	12.7345i	−0.135173	−	0.416019i	−0.995617	+	0.0935259i	$0.970186\pi$
$938$	−6.15333	+	18.9380i	−0.200913	+	0.618347i
$939$	4.94463	−	15.2180i	0.161362	−	0.496621i
$940$	5.87915	+	4.27145i	0.191757	+	0.139319i
$941$	−11.8513	−	36.4746i	−0.386342	−	1.18904i	−0.935502	−	0.353321i	$-0.885052\pi$
$941$	−11.8513	−	36.4746i	−0.386342	−	1.18904i	0.549160	−	0.835717i	$-0.314948\pi$
$942$	−3.86967	−	2.81148i	−0.126081	−	0.0916030i
$943$	−13.5326	+	9.83203i	−0.440683	+	0.320175i
$944$	3.24992	−	10.0022i	0.105776	−	0.325545i
$945$	10.4709	−	7.60754i	0.340618	−	0.247473i
$946$	−18.2275	+	13.2431i	−0.592627	+	0.430569i
$947$	13.4384	−	41.3591i	0.436689	−	1.34399i	−0.454658	−	0.890666i	$-0.650238\pi$
$947$	13.4384	−	41.3591i	0.436689	−	1.34399i	0.891346	−	0.453323i	$-0.149762\pi$
$948$	−6.45799	+	4.69200i	−0.209746	+	0.152389i
$949$	−17.6332	−	12.8112i	−0.572397	−	0.415870i
$950$	−2.91334	−	8.96633i	−0.0945211	−	0.290906i
$951$	−10.2268	−	7.43020i	−0.331626	−	0.240941i
$952$	−6.97642	+	21.4712i	−0.226107	+	0.695886i
$953$	−12.4271	+	38.2466i	−0.402552	+	1.23893i	0.520369	+	0.853941i	$0.325794\pi$
$953$	−12.4271	+	38.2466i	−0.402552	+	1.23893i	−0.922922	+	0.384988i	$0.874206\pi$
$954$	−20.3870	−	62.7447i	−0.660053	−	2.03143i
$955$	14.0363			0.454205
$956$	−14.0209			−0.453468
$957$	−0.393218	−	1.21020i	−0.0127109	−	0.0391202i
$958$	−1.00552	+	0.730550i	−0.0324867	+	0.0236030i
$959$	47.6805	+	34.6419i	1.53968	+	1.11864i
$960$	−1.75607			−0.0566768
$961$		0			0
$962$	43.1925			1.39258
$963$	25.7587	+	18.7148i	0.830062	+	0.603075i
$964$	7.67992	−	5.57979i	0.247354	−	0.179713i
$965$	5.05303	+	15.5516i	0.162663	+	0.500624i
$966$	12.2252			0.393339
$967$	43.8720			1.41083			0.705414	−	0.708795i	$-0.250761\pi$
$967$	43.8720			1.41083			0.705414	+	0.708795i	$0.250761\pi$
$968$	−2.49070	−	7.66558i	−0.0800541	−	0.246381i
$969$	1.25802	−	3.87178i	0.0404133	−	0.124379i
$970$	5.72489	−	17.6194i	0.183815	−	0.565725i
$971$	−41.6793	−	30.2818i	−1.33755	−	0.971788i	−0.999530	−	0.0306500i	$-0.990242\pi$
$971$	−41.6793	−	30.2818i	−1.33755	−	0.971788i	−0.338022	−	0.941138i	$-0.609758\pi$
$972$	5.28629	+	16.2695i	0.169558	+	0.521845i
$973$	30.8306	+	22.3998i	0.988384	+	0.718103i
$974$	−36.7858	+	26.7264i	−1.17869	+	0.856371i
$975$	2.83386	−	8.72172i	0.0907561	−	0.279319i
$976$	−10.4558	+	7.59659i	−0.334682	+	0.243161i
$977$	−11.6299	+	8.44962i	−0.372073	+	0.270327i	−0.758070	−	0.652173i	$-0.773858\pi$
$977$	−11.6299	+	8.44962i	−0.372073	+	0.270327i	0.385997	+	0.922500i	$0.373858\pi$
$978$	−0.158105	+	0.486597i	−0.00505564	+	0.0155597i
$979$	−4.05786	+	2.94821i	−0.129690	+	0.0942252i
$980$	−9.64194	−	7.00528i	−0.308001	−	0.223775i
$981$	−1.18429	−	3.64488i	−0.0378116	−	0.116372i
$982$	12.9242	+	9.38999i	0.412428	+	0.299647i
$983$	−16.5862	+	51.0471i	−0.529018	+	1.62815i	0.227212	+	0.973845i	$0.427039\pi$
$983$	−16.5862	+	51.0471i	−0.529018	+	1.62815i	−0.756230	+	0.654306i	$0.772961\pi$
$984$	−0.777051	+	2.39152i	−0.0247715	+	0.0762387i
$985$	8.73203	+	26.8744i	0.278226	+	0.856291i
$986$	14.3931			0.458370
$987$	−7.88326			−0.250927
$988$	3.28003	+	10.0949i	0.104352	+	0.321161i
$989$	18.8094	−	13.6658i	0.598103	−	0.434547i
$990$	9.22883	+	6.70514i	0.293312	+	0.213103i
$991$	−35.5382			−1.12891			−0.564453	−	0.825465i	$-0.690913\pi$
$991$	−35.5382			−1.12891			−0.564453	+	0.825465i	$0.690913\pi$
$992$		0			0
$993$	−16.4364			−0.521594
$994$	50.2993	+	36.5446i	1.59540	+	1.15912i
$995$	−6.44473	+	4.68237i	−0.204312	+	0.148441i
$996$	−2.30108	−	7.08199i	−0.0729125	−	0.224401i
$997$	−30.5225			−0.966658			−0.483329	−	0.875439i	$-0.660573\pi$
$997$	−30.5225			−0.966658			−0.483329	+	0.875439i	$0.660573\pi$
$998$	−57.5347			−1.82123
$999$	−3.99569	−	12.2975i	−0.126418	−	0.389075i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	961.2.d.p.374.3		16
31.2	even	5		961.2.d.o.628.2		16
31.3	odd	30		961.2.g.n.235.2		16
31.4	even	5		961.2.a.i.1.2		8
31.5	even	3		961.2.g.t.732.2		16
31.6	odd	6		961.2.g.m.816.2		16
31.7	even	15		961.2.c.j.439.2		16
31.8	even	5		961.2.d.o.531.2		16
31.9	even	15		31.2.g.a.7.1	✓	16
31.10	even	15		961.2.g.k.448.1		16
31.11	odd	30		961.2.c.i.521.2		16
31.12	odd	30		961.2.g.l.846.1		16
31.13	odd	30		961.2.g.m.338.2		16
31.14	even	15		961.2.g.k.547.1		16
31.15	odd	10		961.2.d.q.388.3		16
31.16	even	5	inner	961.2.d.p.388.3		16
31.17	odd	30		961.2.g.j.547.1		16
31.18	even	15		961.2.g.s.338.2		16
31.19	even	15		31.2.g.a.9.1	yes	16
31.20	even	15		961.2.c.j.521.2		16
31.21	odd	30		961.2.g.j.448.1		16
31.22	odd	30		961.2.g.l.844.1		16
31.23	odd	10		961.2.d.n.531.2		16
31.24	odd	30		961.2.c.i.439.2		16
31.25	even	3		961.2.g.s.816.2		16
31.26	odd	6		961.2.g.n.732.2		16
31.27	odd	10		961.2.a.j.1.2		8
31.28	even	15		961.2.g.t.235.2		16
31.29	odd	10		961.2.d.n.628.2		16
31.30	odd	2		961.2.d.q.374.3		16
93.35	odd	10		8649.2.a.bf.1.7		8
93.50	odd	30		279.2.y.c.226.2		16
93.71	odd	30		279.2.y.c.100.2		16
93.89	even	10		8649.2.a.be.1.7		8
124.19	odd	30		496.2.bg.c.257.1		16
124.71	odd	30		496.2.bg.c.193.1		16
155.9	even	30		775.2.bl.a.751.2		16
155.19	even	30		775.2.bl.a.226.2		16
155.102	odd	60		775.2.ck.a.224.4		32
155.112	odd	60		775.2.ck.a.474.1		32
155.133	odd	60		775.2.ck.a.224.1		32
155.143	odd	60		775.2.ck.a.474.4		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
31.2.g.a.7.1	✓	16	31.9	even	15
31.2.g.a.9.1	yes	16	31.19	even	15
279.2.y.c.100.2		16	93.71	odd	30
279.2.y.c.226.2		16	93.50	odd	30
496.2.bg.c.193.1		16	124.71	odd	30
496.2.bg.c.257.1		16	124.19	odd	30
775.2.bl.a.226.2		16	155.19	even	30
775.2.bl.a.751.2		16	155.9	even	30
775.2.ck.a.224.1		32	155.133	odd	60
775.2.ck.a.224.4		32	155.102	odd	60
775.2.ck.a.474.1		32	155.112	odd	60
775.2.ck.a.474.4		32	155.143	odd	60
961.2.a.i.1.2		8	31.4	even	5
961.2.a.j.1.2		8	31.27	odd	10
961.2.c.i.439.2		16	31.24	odd	30
961.2.c.i.521.2		16	31.11	odd	30
961.2.c.j.439.2		16	31.7	even	15
961.2.c.j.521.2		16	31.20	even	15
961.2.d.n.531.2		16	31.23	odd	10
961.2.d.n.628.2		16	31.29	odd	10
961.2.d.o.531.2		16	31.8	even	5
961.2.d.o.628.2		16	31.2	even	5
961.2.d.p.374.3		16	1.1	even	1	trivial
961.2.d.p.388.3		16	31.16	even	5	inner
961.2.d.q.374.3		16	31.30	odd	2
961.2.d.q.388.3		16	31.15	odd	10
961.2.g.j.448.1		16	31.21	odd	30
961.2.g.j.547.1		16	31.17	odd	30
961.2.g.k.448.1		16	31.10	even	15
961.2.g.k.547.1		16	31.14	even	15
961.2.g.l.844.1		16	31.22	odd	30
961.2.g.l.846.1		16	31.12	odd	30
961.2.g.m.338.2		16	31.13	odd	30
961.2.g.m.816.2		16	31.6	odd	6
961.2.g.n.235.2		16	31.3	odd	30
961.2.g.n.732.2		16	31.26	odd	6
961.2.g.s.338.2		16	31.18	even	15
961.2.g.s.816.2		16	31.25	even	3
961.2.g.t.235.2		16	31.28	even	15
961.2.g.t.732.2		16	31.5	even	3
8649.2.a.be.1.7		8	93.89	even	10
8649.2.a.bf.1.7		8	93.35	odd	10

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:	\( N \)	\(=\)	\( 961 = 31^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	961.d (of order \(5\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(1.49685 + 1.08752i) q^{2} +(-0.403986 + 0.293513i) q^{3} +(0.439812 + 1.35360i) q^{4} +1.20736 q^{5} -0.923909 q^{6} +(1.15357 + 3.55033i) q^{7} +(0.329747 - 1.01486i) q^{8} +(-0.849996 + 2.61602i) q^{9} +O(q^{10})\)	\(q+(1.49685 + 1.08752i) q^{2} +(-0.403986 + 0.293513i) q^{3} +(0.439812 + 1.35360i) q^{4} +1.20736 q^{5} -0.923909 q^{6} +(1.15357 + 3.55033i) q^{7} +(0.329747 - 1.01486i) q^{8} +(-0.849996 + 2.61602i) q^{9} +(1.80724 + 1.31303i) q^{10} +(-0.573693 - 1.76565i) q^{11} +(-0.574979 - 0.417746i) q^{12} +(4.19432 - 3.04736i) q^{13} +(-2.13435 + 6.56885i) q^{14} +(-0.487757 + 0.354376i) q^{15} +(3.90015 - 2.83362i) q^{16} +(-1.75135 + 5.39009i) q^{17} +(-4.11730 + 2.99139i) q^{18} +(1.16376 + 0.845521i) q^{19} +(0.531013 + 1.63429i) q^{20} +(-1.50810 - 1.09570i) q^{21} +(1.06145 - 3.26681i) q^{22} +(-1.09533 + 3.37109i) q^{23} +(0.164660 + 0.506773i) q^{24} -3.54228 q^{25} +9.59234 q^{26} +(-0.887376 - 2.73106i) q^{27} +(-4.29839 + 3.12296i) q^{28} +(-1.11046 - 0.806795i) q^{29} -1.11549 q^{30} +6.78540 q^{32} +(0.750004 + 0.544910i) q^{33} +(-8.48335 + 6.16352i) q^{34} +(1.39278 + 4.28654i) q^{35} -3.91489 q^{36} +4.50281 q^{37} +(0.822447 + 2.53123i) q^{38} +(-0.800011 + 2.46218i) q^{39} +(0.398123 - 1.22530i) q^{40} +(3.81784 + 2.77382i) q^{41} +(-1.06580 - 3.28018i) q^{42} +(-5.30652 - 3.85541i) q^{43} +(2.13767 - 1.55311i) q^{44} +(-1.02625 + 3.15848i) q^{45} +(-5.30569 + 3.85481i) q^{46} +(3.42131 - 2.48572i) q^{47} +(-0.743900 + 2.28949i) q^{48} +(-5.61102 + 4.07665i) q^{49} +(-5.30225 - 3.85231i) q^{50} +(-0.874543 - 2.69157i) q^{51} +(5.96963 + 4.33719i) q^{52} +(-4.00588 + 12.3288i) q^{53} +(1.64183 - 5.05303i) q^{54} +(-0.692655 - 2.13177i) q^{55} +3.98346 q^{56} -0.718314 q^{57} +(-0.784779 - 2.41530i) q^{58} +(1.76492 - 1.28229i) q^{59} +(-0.694207 - 0.504371i) q^{60} -2.68087 q^{61} -10.2683 q^{63} +(2.35642 + 1.71204i) q^{64} +(5.06407 - 3.67926i) q^{65} +(0.530040 + 1.63130i) q^{66} +2.88300 q^{67} -8.06631 q^{68} +(-0.546960 - 1.68337i) q^{69} +(-2.57693 + 7.93098i) q^{70} +(2.78166 - 8.56106i) q^{71} +(2.37460 + 1.72525i) q^{72} +(-1.29912 - 3.99829i) q^{73} +(6.74003 + 4.89692i) q^{74} +(1.43103 - 1.03971i) q^{75} +(-0.632664 + 1.94714i) q^{76} +(5.60683 - 4.07360i) q^{77} +(-3.87517 + 2.81548i) q^{78} +(3.47079 - 10.6820i) q^{79} +(4.70889 - 3.42121i) q^{80} +(-5.51587 - 4.00751i) q^{81} +(2.69813 + 8.30399i) q^{82} +(8.47642 + 6.15848i) q^{83} +(0.819859 - 2.52327i) q^{84} +(-2.11451 + 6.50779i) q^{85} +(-3.75020 - 11.5419i) q^{86} +0.685415 q^{87} -1.98105 q^{88} +(-0.834882 - 2.56950i) q^{89} +(-4.97107 + 3.61169i) q^{90} +(15.6576 + 11.3759i) q^{91} -5.04486 q^{92} +7.82446 q^{94} +(1.40508 + 1.02085i) q^{95} +(-2.74121 + 1.99160i) q^{96} +(-2.56277 - 7.88740i) q^{97} -12.8323 q^{98} +5.10660 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 4 q^{2} - 6 q^{3} + 6 q^{4} + 6 q^{5} - 22 q^{6} - 9 q^{7} - 8 q^{8} - 10 q^{9}+O(q^{10}) \) 16 * q + 4 * q^2 - 6 * q^3 + 6 * q^4 + 6 * q^5 - 22 * q^6 - 9 * q^7 - 8 * q^8 - 10 * q^9	\( 16 q + 4 q^{2} - 6 q^{3} + 6 q^{4} + 6 q^{5} - 22 q^{6} - 9 q^{7} - 8 q^{8} - 10 q^{9} - 6 q^{10} + 4 q^{11} - 5 q^{12} + 9 q^{13} - 18 q^{14} + 4 q^{15} - 2 q^{16} + 17 q^{17} - 14 q^{18} - 7 q^{19} + 36 q^{20} + 2 q^{21} - 8 q^{22} + 21 q^{23} + 5 q^{24} + 26 q^{25} - 18 q^{26} + 9 q^{27} + 20 q^{28} + 26 q^{29} - 22 q^{30} - 42 q^{32} + 7 q^{33} - 56 q^{34} + 21 q^{35} - 2 q^{36} + 16 q^{37} + 24 q^{38} + 2 q^{39} - 13 q^{40} + 6 q^{41} + 12 q^{42} - 16 q^{43} + 37 q^{44} - 5 q^{45} - 16 q^{46} + 4 q^{47} + 37 q^{48} - 39 q^{49} - 21 q^{50} - 11 q^{51} - 18 q^{52} + 3 q^{53} + 39 q^{54} + 29 q^{55} + 60 q^{56} + 34 q^{57} + 10 q^{58} - 3 q^{59} + 35 q^{60} - 60 q^{61} - 46 q^{63} - 32 q^{64} + 9 q^{65} + 20 q^{66} - 26 q^{67} - 60 q^{68} - 21 q^{69} + 27 q^{70} + 18 q^{71} - 4 q^{72} - 9 q^{73} + 64 q^{74} + 19 q^{75} + 9 q^{76} - 42 q^{77} + 15 q^{78} + 14 q^{79} + 18 q^{80} + 29 q^{81} + 32 q^{82} + 67 q^{83} + 39 q^{84} - 63 q^{85} - 23 q^{86} - 30 q^{87} + 34 q^{88} + 26 q^{89} - 24 q^{90} + 8 q^{91} - 64 q^{92} + 44 q^{94} + 28 q^{95} + 4 q^{96} - 37 q^{97} + 20 q^{98} - 12 q^{99}+O(q^{100}) \) 16 * q + 4 * q^2 - 6 * q^3 + 6 * q^4 + 6 * q^5 - 22 * q^6 - 9 * q^7 - 8 * q^8 - 10 * q^9 - 6 * q^10 + 4 * q^11 - 5 * q^12 + 9 * q^13 - 18 * q^14 + 4 * q^15 - 2 * q^16 + 17 * q^17 - 14 * q^18 - 7 * q^19 + 36 * q^20 + 2 * q^21 - 8 * q^22 + 21 * q^23 + 5 * q^24 + 26 * q^25 - 18 * q^26 + 9 * q^27 + 20 * q^28 + 26 * q^29 - 22 * q^30 - 42 * q^32 + 7 * q^33 - 56 * q^34 + 21 * q^35 - 2 * q^36 + 16 * q^37 + 24 * q^38 + 2 * q^39 - 13 * q^40 + 6 * q^41 + 12 * q^42 - 16 * q^43 + 37 * q^44 - 5 * q^45 - 16 * q^46 + 4 * q^47 + 37 * q^48 - 39 * q^49 - 21 * q^50 - 11 * q^51 - 18 * q^52 + 3 * q^53 + 39 * q^54 + 29 * q^55 + 60 * q^56 + 34 * q^57 + 10 * q^58 - 3 * q^59 + 35 * q^60 - 60 * q^61 - 46 * q^63 - 32 * q^64 + 9 * q^65 + 20 * q^66 - 26 * q^67 - 60 * q^68 - 21 * q^69 + 27 * q^70 + 18 * q^71 - 4 * q^72 - 9 * q^73 + 64 * q^74 + 19 * q^75 + 9 * q^76 - 42 * q^77 + 15 * q^78 + 14 * q^79 + 18 * q^80 + 29 * q^81 + 32 * q^82 + 67 * q^83 + 39 * q^84 - 63 * q^85 - 23 * q^86 - 30 * q^87 + 34 * q^88 + 26 * q^89 - 24 * q^90 + 8 * q^91 - 64 * q^92 + 44 * q^94 + 28 * q^95 + 4 * q^96 - 37 * q^97 + 20 * q^98 - 12 * q^99

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