LMFDB - Embedded newform 175.2.h.b.71.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,2,Mod(36,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([8, 0]))

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

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

chi := DirichletCharacter("175.36");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	175.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.39738203537$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			71.2
Character	$\chi$	$=$	175.71
Dual form			175.2.h.b.106.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.459090 + 1.41293i) q^{2} +(2.50953 + 1.82328i) q^{3} +(-0.167580 - 0.121754i) q^{4} +(-1.77897 - 1.35472i) q^{5} +(-3.72827 + 2.70875i) q^{6} -1.00000 q^{7} +(-2.15486 + 1.56560i) q^{8} +(2.04634 + 6.29798i) q^{9} +O(q^{10})$	\(q+(-0.459090 + 1.41293i) q^{2} +(2.50953 + 1.82328i) q^{3} +(-0.167580 - 0.121754i) q^{4} +(-1.77897 - 1.35472i) q^{5} +(-3.72827 + 2.70875i) q^{6} -1.00000 q^{7} +(-2.15486 + 1.56560i) q^{8} +(2.04634 + 6.29798i) q^{9} +(2.73083 - 1.89163i) q^{10} +(1.87462 - 5.76947i) q^{11} +(-0.198556 - 0.611092i) q^{12} +(0.984896 + 3.03120i) q^{13} +(0.459090 - 1.41293i) q^{14} +(-1.99435 - 6.64327i) q^{15} +(-1.35083 - 4.15742i) q^{16} +(2.47895 - 1.80106i) q^{17} -9.83807 q^{18} +(1.24098 - 0.901624i) q^{19} +(0.133178 + 0.443622i) q^{20} +(-2.50953 - 1.82328i) q^{21} +(7.29126 + 5.29741i) q^{22} +(0.139816 - 0.430310i) q^{23} -8.26220 q^{24} +(1.32948 + 4.82001i) q^{25} -4.73503 q^{26} +(-3.47197 + 10.6856i) q^{27} +(0.167580 + 0.121754i) q^{28} +(-2.38495 - 1.73277i) q^{29} +(10.3021 + 0.231969i) q^{30} +(-0.913571 + 0.663748i) q^{31} +1.16721 q^{32} +(15.2238 - 11.0607i) q^{33} +(1.40672 + 4.32943i) q^{34} +(1.77897 + 1.35472i) q^{35} +(0.423880 - 1.30457i) q^{36} +(-1.26826 - 3.90332i) q^{37} +(0.704213 + 2.16735i) q^{38} +(-3.05510 + 9.40262i) q^{39} +(5.95437 + 0.134073i) q^{40} +(-2.45117 - 7.54393i) q^{41} +(3.72827 - 2.70875i) q^{42} -3.03187 q^{43} +(-1.01661 + 0.738608i) q^{44} +(4.89161 - 13.9761i) q^{45} +(0.543810 + 0.395101i) q^{46} +(4.68574 + 3.40439i) q^{47} +(4.19020 - 12.8961i) q^{48} +1.00000 q^{49} +(-7.42070 - 0.334350i) q^{50} +9.50482 q^{51} +(0.204012 - 0.627885i) q^{52} +(-3.25765 - 2.36682i) q^{53} +(-13.5041 - 9.81132i) q^{54} +(-11.1509 + 7.72415i) q^{55} +(2.15486 - 1.56560i) q^{56} +4.75819 q^{57} +(3.54319 - 2.57428i) q^{58} +(2.23176 + 6.86866i) q^{59} +(-0.474632 + 1.35610i) q^{60} +(-4.33740 + 13.3491i) q^{61} +(-0.518420 - 1.59553i) q^{62} +(-2.04634 - 6.29798i) q^{63} +(2.16581 - 6.66567i) q^{64} +(2.35431 - 6.72667i) q^{65} +(8.63897 + 26.5880i) q^{66} +(7.93647 - 5.76618i) q^{67} -0.634710 q^{68} +(1.13545 - 0.824951i) q^{69} +(-2.73083 + 1.89163i) q^{70} +(-5.06836 - 3.68238i) q^{71} +(-14.2697 - 10.3675i) q^{72} +(0.784018 - 2.41296i) q^{73} +6.09737 q^{74} +(-5.45185 + 14.5200i) q^{75} -0.317741 q^{76} +(-1.87462 + 5.76947i) q^{77} +(-11.8827 - 8.63329i) q^{78} +(-2.78358 - 2.02239i) q^{79} +(-3.22905 + 9.22593i) q^{80} +(-12.1238 + 8.80843i) q^{81} +11.7844 q^{82} +(-14.4959 + 10.5319i) q^{83} +(0.198556 + 0.611092i) q^{84} +(-6.84990 - 0.154238i) q^{85} +(1.39190 - 4.28383i) q^{86} +(-2.82578 - 8.69687i) q^{87} +(4.99314 + 15.3673i) q^{88} +(-0.615208 + 1.89341i) q^{89} +(17.5017 + 13.3278i) q^{90} +(-0.984896 - 3.03120i) q^{91} +(-0.0758225 + 0.0550883i) q^{92} -3.50283 q^{93} +(-6.96134 + 5.05771i) q^{94} +(-3.42911 - 0.0772126i) q^{95} +(2.92914 + 2.12814i) q^{96} +(4.77497 + 3.46922i) q^{97} +(-0.459090 + 1.41293i) q^{98} +40.1721 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9}+O(q^{10}) $ 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9	\( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9} - 4 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 6 q^{14} - 9 q^{15} + 16 q^{16} + 14 q^{17} - 62 q^{18} + 22 q^{19} + 20 q^{20} - 4 q^{21} + 7 q^{22} + 21 q^{23} + 38 q^{24} + 8 q^{25} - 8 q^{26} - 11 q^{27} + 6 q^{28} - 37 q^{29} + 8 q^{30} - q^{31} - 48 q^{32} + 17 q^{33} - 10 q^{34} - 8 q^{35} - 41 q^{36} + 25 q^{37} + 15 q^{38} + 24 q^{39} + 39 q^{40} + 10 q^{41} + 15 q^{42} - 18 q^{43} + 65 q^{44} + 32 q^{45} + 26 q^{46} + 54 q^{47} + 69 q^{48} + 28 q^{49} - 49 q^{50} + 2 q^{51} - 54 q^{52} - 24 q^{53} - 14 q^{54} - 46 q^{55} + 2 q^{56} - 62 q^{57} + 17 q^{58} - 19 q^{59} - 6 q^{60} - 48 q^{61} - 42 q^{62} + 5 q^{63} - 20 q^{64} + 5 q^{65} + 91 q^{66} + 11 q^{67} - 114 q^{68} + 31 q^{69} + 4 q^{70} + 12 q^{71} + 20 q^{72} - 2 q^{73} + 70 q^{74} - 24 q^{75} - 6 q^{76} + 8 q^{77} + 59 q^{78} - 72 q^{79} - 8 q^{80} - 10 q^{81} - 26 q^{82} - 34 q^{83} + 8 q^{84} + 40 q^{85} - 60 q^{86} + 20 q^{87} + 32 q^{88} + 3 q^{89} - 32 q^{90} + 8 q^{91} + 10 q^{92} - 96 q^{93} + 12 q^{94} + 71 q^{95} + 22 q^{96} + 22 q^{97} + 6 q^{98} + 62 q^{99}+O(q^{100}) \) 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9 - 4 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 6 * q^14 - 9 * q^15 + 16 * q^16 + 14 * q^17 - 62 * q^18 + 22 * q^19 + 20 * q^20 - 4 * q^21 + 7 * q^22 + 21 * q^23 + 38 * q^24 + 8 * q^25 - 8 * q^26 - 11 * q^27 + 6 * q^28 - 37 * q^29 + 8 * q^30 - q^31 - 48 * q^32 + 17 * q^33 - 10 * q^34 - 8 * q^35 - 41 * q^36 + 25 * q^37 + 15 * q^38 + 24 * q^39 + 39 * q^40 + 10 * q^41 + 15 * q^42 - 18 * q^43 + 65 * q^44 + 32 * q^45 + 26 * q^46 + 54 * q^47 + 69 * q^48 + 28 * q^49 - 49 * q^50 + 2 * q^51 - 54 * q^52 - 24 * q^53 - 14 * q^54 - 46 * q^55 + 2 * q^56 - 62 * q^57 + 17 * q^58 - 19 * q^59 - 6 * q^60 - 48 * q^61 - 42 * q^62 + 5 * q^63 - 20 * q^64 + 5 * q^65 + 91 * q^66 + 11 * q^67 - 114 * q^68 + 31 * q^69 + 4 * q^70 + 12 * q^71 + 20 * q^72 - 2 * q^73 + 70 * q^74 - 24 * q^75 - 6 * q^76 + 8 * q^77 + 59 * q^78 - 72 * q^79 - 8 * q^80 - 10 * q^81 - 26 * q^82 - 34 * q^83 + 8 * q^84 + 40 * q^85 - 60 * q^86 + 20 * q^87 + 32 * q^88 + 3 * q^89 - 32 * q^90 + 8 * q^91 + 10 * q^92 - 96 * q^93 + 12 * q^94 + 71 * q^95 + 22 * q^96 + 22 * q^97 + 6 * q^98 + 62 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	−0.459090	+	1.41293i	−0.324625	+	0.999094i	0.646984	+	0.762503i	$0.276030\pi$
$2$	−0.459090	+	1.41293i	−0.324625	+	0.999094i	−0.971609	+	0.236591i	$0.923970\pi$
$3$	2.50953	+	1.82328i	1.44888	+	1.05267i	0.986092	+	0.166201i	$0.0531500\pi$
$3$	2.50953	+	1.82328i	1.44888	+	1.05267i	0.462786	+	0.886470i	$0.346850\pi$
$4$	−0.167580	−	0.121754i	−0.0837902	−	0.0608772i
$5$	−1.77897	−	1.35472i	−0.795580	−	0.605848i
$5$	−1.77897	−	1.35472i	−0.795580	−	0.605848i
$6$	−3.72827	+	2.70875i	−1.52206	+	1.10584i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	−2.15486	+	1.56560i	−0.761858	+	0.553522i
$9$	2.04634	+	6.29798i	0.682113	+	2.09933i
$10$	2.73083	−	1.89163i	0.863565	−	0.598186i
$11$	1.87462	−	5.76947i	0.565218	−	1.73956i	−0.102086	−	0.994776i	$-0.532552\pi$
$11$	1.87462	−	5.76947i	0.565218	−	1.73956i	0.667303	−	0.744786i	$-0.267448\pi$
$12$	−0.198556	−	0.611092i	−0.0573182	−	0.176407i
$13$	0.984896	+	3.03120i	0.273161	+	0.840703i	0.989700	+	0.143156i	$0.0457251\pi$
$13$	0.984896	+	3.03120i	0.273161	+	0.840703i	−0.716539	+	0.697547i	$0.754275\pi$
$14$	0.459090	−	1.41293i	0.122697	−	0.377622i
$15$	−1.99435	−	6.64327i	−0.514940	−	1.71528i
$16$	−1.35083	−	4.15742i	−0.337707	−	1.03936i
$17$	2.47895	−	1.80106i	0.601233	−	0.436821i	−0.245084	−	0.969502i	$-0.578815\pi$
$17$	2.47895	−	1.80106i	0.601233	−	0.436821i	0.846316	+	0.532681i	$0.178815\pi$
$18$	−9.83807			−2.31886
$19$	1.24098	−	0.901624i	0.284700	−	0.206847i	−0.436265	−	0.899818i	$-0.643699\pi$
$19$	1.24098	−	0.901624i	0.284700	−	0.206847i	0.720965	+	0.692972i	$0.243699\pi$
$20$	0.133178	+	0.443622i	0.0297795	+	0.0991968i
$21$	−2.50953	−	1.82328i	−0.547624	−	0.397872i
$22$	7.29126	+	5.29741i	1.55450	+	1.12941i
$23$	0.139816	−	0.430310i	0.0291537	−	0.0897257i	−0.935421	−	0.353536i	$-0.884979\pi$
$23$	0.139816	−	0.430310i	0.0291537	−	0.0897257i	0.964575	+	0.263810i	$0.0849792\pi$
$24$	−8.26220			−1.68652
$25$	1.32948	+	4.82001i	0.265896	+	0.964002i
$26$	−4.73503			−0.928616
$27$	−3.47197	+	10.6856i	−0.668181	+	2.05645i
$28$	0.167580	+	0.121754i	0.0316697	+	0.0230094i
$29$	−2.38495	−	1.73277i	−0.442874	−	0.321767i	0.343902	−	0.939006i	$-0.388251\pi$
$29$	−2.38495	−	1.73277i	−0.442874	−	0.321767i	−0.786776	+	0.617239i	$0.788251\pi$
$30$	10.3021	+	0.231969i	1.88089	+	0.0423516i
$31$	−0.913571	+	0.663748i	−0.164082	+	0.119213i	−0.666796	−	0.745240i	$-0.732335\pi$
$31$	−0.913571	+	0.663748i	−0.164082	+	0.119213i	0.502714	+	0.864453i	$0.332335\pi$
$32$	1.16721			0.206335
$33$	15.2238	−	11.0607i	2.65012	−	1.92542i
$34$	1.40672	+	4.32943i	0.241250	+	0.742491i
$35$	1.77897	+	1.35472i	0.300701	+	0.228989i
$36$	0.423880	−	1.30457i	0.0706467	−	0.217428i
$37$	−1.26826	−	3.90332i	−0.208501	−	0.641701i	−0.999551	−	0.0299497i	$-0.990465\pi$
$37$	−1.26826	−	3.90332i	−0.208501	−	0.641701i	0.791050	−	0.611751i	$-0.209535\pi$
$38$	0.704213	+	2.16735i	0.114238	+	0.351590i
$39$	−3.05510	+	9.40262i	−0.489207	+	1.50562i
$40$	5.95437	+	0.134073i	0.941469	+	0.0211988i
$41$	−2.45117	−	7.54393i	−0.382809	−	1.17816i	−0.938057	−	0.346480i	$-0.887377\pi$
$41$	−2.45117	−	7.54393i	−0.382809	−	1.17816i	0.555248	−	0.831685i	$-0.312623\pi$
$42$	3.72827	−	2.70875i	0.575285	−	0.417969i
$43$	−3.03187			−0.462356			−0.231178	−	0.972911i	$-0.574258\pi$
$43$	−3.03187			−0.462356			−0.231178	+	0.972911i	$0.574258\pi$
$44$	−1.01661	+	0.738608i	−0.153259	+	0.111349i
$45$	4.89161	−	13.9761i	0.729198	−	2.08344i
$46$	0.543810	+	0.395101i	0.0801804	+	0.0582545i
$47$	4.68574	+	3.40439i	0.683485	+	0.496581i	0.874512	−	0.485004i	$-0.161182\pi$
$47$	4.68574	+	3.40439i	0.683485	+	0.496581i	−0.191027	+	0.981585i	$0.561182\pi$
$48$	4.19020	−	12.8961i	0.604804	−	1.86139i
$49$	1.00000			0.142857
$50$	−7.42070	−	0.334350i	−1.04944	−	0.0472842i
$51$	9.50482			1.33094
$52$	0.204012	−	0.627885i	0.0282914	−	0.0870719i
$53$	−3.25765	−	2.36682i	−0.447473	−	0.325108i	0.341125	−	0.940018i	$-0.389192\pi$
$53$	−3.25765	−	2.36682i	−0.447473	−	0.325108i	−0.788597	+	0.614910i	$0.789192\pi$
$54$	−13.5041	−	9.81132i	−1.83768	−	1.33515i
$55$	−11.1509	+	7.72415i	−1.50359	+	1.04152i
$56$	2.15486	−	1.56560i	0.287955	−	0.209212i
$57$	4.75819			0.630237
$58$	3.54319	−	2.57428i	0.465244	−	0.338019i
$59$	2.23176	+	6.86866i	0.290551	+	0.894223i	0.984680	+	0.174373i	$0.0557897\pi$
$59$	2.23176	+	6.86866i	0.290551	+	0.894223i	−0.694129	+	0.719851i	$0.744210\pi$
$60$	−0.474632	+	1.35610i	−0.0612747	+	0.175072i
$61$	−4.33740	+	13.3491i	−0.555347	+	1.70918i	0.139680	+	0.990197i	$0.455393\pi$
$61$	−4.33740	+	13.3491i	−0.555347	+	1.70918i	−0.695026	+	0.718984i	$0.744607\pi$
$62$	−0.518420	−	1.59553i	−0.0658394	−	0.202633i
$63$	−2.04634	−	6.29798i	−0.257814	−	0.793471i
$64$	2.16581	−	6.66567i	0.270726	−	0.833208i
$65$	2.35431	−	6.72667i	0.292017	−	0.834341i
$66$	8.63897	+	26.5880i	1.06338	+	3.27276i
$67$	7.93647	−	5.76618i	0.969594	−	0.704451i	0.0142352	−	0.999899i	$-0.495469\pi$
$67$	7.93647	−	5.76618i	0.969594	−	0.704451i	0.955359	+	0.295447i	$0.0954686\pi$
$68$	−0.634710			−0.0769698
$69$	1.13545	−	0.824951i	0.136692	−	0.0993124i
$70$	−2.73083	+	1.89163i	−0.326397	+	0.226093i
$71$	−5.06836	−	3.68238i	−0.601504	−	0.437018i	0.244908	−	0.969546i	$-0.421242\pi$
$71$	−5.06836	−	3.68238i	−0.601504	−	0.437018i	−0.846412	+	0.532528i	$0.821242\pi$
$72$	−14.2697	−	10.3675i	−1.68170	−	1.22182i
$73$	0.784018	−	2.41296i	0.0917624	−	0.282416i	−0.894634	−	0.446800i	$-0.852564\pi$
$73$	0.784018	−	2.41296i	0.0917624	−	0.282416i	0.986396	+	0.164384i	$0.0525637\pi$
$74$	6.09737			0.708805
$75$	−5.45185	+	14.5200i	−0.629526	+	1.67662i
$76$	−0.317741			−0.0364473
$77$	−1.87462	+	5.76947i	−0.213632	+	0.657493i
$78$	−11.8827	−	8.63329i	−1.34545	−	0.977527i
$79$	−2.78358	−	2.02239i	−0.313178	−	0.227537i	0.420081	−	0.907487i	$-0.362002\pi$
$79$	−2.78358	−	2.02239i	−0.313178	−	0.227537i	−0.733259	+	0.679950i	$0.762002\pi$
$80$	−3.22905	+	9.22593i	−0.361019	+	1.03149i
$81$	−12.1238	+	8.80843i	−1.34708	+	0.978714i
$82$	11.7844			1.30137
$83$	−14.4959	+	10.5319i	−1.59113	+	1.15602i	−0.688825	+	0.724928i	$0.741873\pi$
$83$	−14.4959	+	10.5319i	−1.59113	+	1.15602i	−0.902306	+	0.431097i	$0.858127\pi$
$84$	0.198556	+	0.611092i	0.0216642	+	0.0666756i
$85$	−6.84990	−	0.154238i	−0.742976	−	0.0167294i
$86$	1.39190	−	4.28383i	0.150093	−	0.461937i
$87$	−2.82578	−	8.69687i	−0.302956	−	0.932402i
$88$	4.99314	+	15.3673i	0.532270	+	1.63816i
$89$	−0.615208	+	1.89341i	−0.0652119	+	0.200702i	−0.978353	−	0.206941i	$-0.933649\pi$
$89$	−0.615208	+	1.89341i	−0.0652119	+	0.200702i	0.913142	+	0.407643i	$0.133649\pi$
$90$	17.5017	+	13.3278i	1.84484	+	1.40487i
$91$	−0.984896	−	3.03120i	−0.103245	−	0.317756i
$92$	−0.0758225	+	0.0550883i	−0.00790504	+	0.00574335i
$93$	−3.50283			−0.363227
$94$	−6.96134	+	5.05771i	−0.718007	+	0.521663i
$95$	−3.42911	−	0.0772126i	−0.351820	−	0.00792184i
$96$	2.92914	+	2.12814i	0.298954	+	0.217203i
$97$	4.77497	+	3.46922i	0.484825	+	0.352246i	0.803191	−	0.595722i	$-0.203134\pi$
$97$	4.77497	+	3.46922i	0.484825	+	0.352246i	−0.318366	+	0.947968i	$0.603134\pi$
$98$	−0.459090	+	1.41293i	−0.0463750	+	0.142728i
$99$	40.1721			4.03745
$100$	0.364062	−	0.969609i	0.0364062	−	0.0969609i
$101$	−8.61324			−0.857049			−0.428525	−	0.903530i	$-0.640966\pi$
$101$	−8.61324			−0.857049			−0.428525	+	0.903530i	$0.640966\pi$
$102$	−4.36356	+	13.4297i	−0.432057	+	1.32974i
$103$	2.52924	+	1.83760i	0.249213	+	0.181064i	0.705378	−	0.708831i	$-0.250777\pi$
$103$	2.52924	+	1.83760i	0.249213	+	0.181064i	−0.456165	+	0.889895i	$0.650777\pi$
$104$	−6.86794	−	4.98985i	−0.673457	−	0.489295i
$105$	1.99435	+	6.64327i	0.194629	+	0.648316i
$106$	4.83971	−	3.51626i	0.470074	−	0.341529i
$107$	−12.7809			−1.23558			−0.617789	−	0.786344i	$-0.711971\pi$
$107$	−12.7809			−1.23558			−0.617789	+	0.786344i	$0.711971\pi$
$108$	1.88286	−	1.36797i	0.181178	−	0.131633i
$109$	−4.34008	−	13.3574i	−0.415704	−	1.27941i	−0.911619	−	0.411036i	$-0.865167\pi$
$109$	−4.34008	−	13.3574i	−0.415704	−	1.27941i	0.495915	−	0.868371i	$-0.334833\pi$
$110$	−5.79445	−	19.3015i	−0.552479	−	1.84033i
$111$	3.93409	−	12.1079i	0.373407	−	1.14923i
$112$	1.35083	+	4.15742i	0.127641	+	0.392840i
$113$	0.565296	+	1.73980i	0.0531786	+	0.163667i	0.974119	−	0.226037i	$-0.0725772\pi$
$113$	0.565296	+	1.73980i	0.0531786	+	0.163667i	−0.920940	+	0.389704i	$0.872577\pi$
$114$	−2.18443	+	6.72300i	−0.204591	+	0.629666i
$115$	−0.831677	+	0.576097i	−0.0775542	+	0.0537213i
$116$	0.188699	+	0.580756i	0.0175203	+	0.0539219i
$117$	−17.0750	+	12.4057i	−1.57858	+	1.14691i
$118$	−10.7295			−0.987733
$119$	−2.47895	+	1.80106i	−0.227245	+	0.165103i
$120$	14.6982	+	11.1930i	1.34176	+	1.02177i
$121$	−20.8735	−	15.1655i	−1.89759	−	1.37868i
$122$	−16.8702	−	12.2569i	−1.52735	−	1.10969i
$123$	7.60341	−	23.4009i	0.685577	−	2.10999i
$124$	0.233911			0.0210058
$125$	4.16464	−	10.3757i	0.372497	−	0.928033i
$126$	9.83807			0.876445
$127$	3.45362	−	10.6291i	0.306459	−	0.943183i	−0.672670	−	0.739943i	$-0.734853\pi$
$127$	3.45362	−	10.6291i	0.306459	−	0.943183i	0.979129	−	0.203241i	$-0.0651474\pi$
$128$	10.3124	+	7.49241i	0.911497	+	0.662241i
$129$	−7.60857	−	5.52795i	−0.669898	−	0.486709i
$130$	8.42349	+	6.41463i	0.738789	+	0.562600i
$131$	7.71872	−	5.60798i	0.674388	−	0.489972i	−0.197103	−	0.980383i	$-0.563153\pi$
$131$	7.71872	−	5.60798i	0.674388	−	0.489972i	0.871491	+	0.490411i	$0.163153\pi$
$132$	−3.89790			−0.339268
$133$	−1.24098	+	0.901624i	−0.107607	+	0.0781807i
$134$	4.50368	+	13.8609i	0.389058	+	1.19740i
$135$	20.6525	−	14.3059i	1.77749	−	1.23125i
$136$	−2.52205	+	7.76206i	−0.216264	+	0.665591i
$137$	3.39795	+	10.4578i	0.290306	+	0.893470i	0.984758	+	0.173931i	$0.0556470\pi$
$137$	3.39795	+	10.4578i	0.290306	+	0.893470i	−0.694452	+	0.719539i	$0.744353\pi$
$138$	0.644328	+	1.98304i	0.0548488	+	0.168807i
$139$	−3.09341	+	9.52052i	−0.262379	+	0.807520i	0.729906	+	0.683547i	$0.239564\pi$
$139$	−3.09341	+	9.52052i	−0.262379	+	0.807520i	−0.992286	+	0.123973i	$0.960436\pi$
$140$	−0.133178	−	0.443622i	−0.0112556	−	0.0374929i
$141$	5.55184	+	17.0868i	0.467550	+	1.43897i
$142$	7.52979	−	5.47071i	0.631886	−	0.459092i
$143$	19.3347			1.61685
$144$	23.4191	−	17.0150i	1.95159	−	1.41792i
$145$	1.89535	+	6.31348i	0.157400	+	0.524306i
$146$	3.04941	+	2.21553i	0.252371	+	0.183358i
$147$	2.50953	+	1.82328i	0.206983	+	0.150382i
$148$	−0.262709	+	0.808536i	−0.0215946	+	0.0664613i
$149$	−5.00195			−0.409776			−0.204888	−	0.978785i	$-0.565683\pi$
$149$	−5.00195			−0.409776			−0.204888	+	0.978785i	$0.565683\pi$
$150$	−18.0128	−	14.3691i	−1.47074	−	1.17323i
$151$	9.77589			0.795550			0.397775	−	0.917483i	$-0.369782\pi$
$151$	9.77589			0.795550			0.397775	+	0.917483i	$0.369782\pi$
$152$	−1.26256	+	3.88575i	−0.102407	+	0.315176i
$153$	16.4158	+	11.9268i	1.32714	+	0.964222i
$154$	−7.29126	−	5.29741i	−0.587546	−	0.426877i
$155$	2.52441	+	0.0568415i	0.202765	+	0.00456562i
$156$	1.65678	−	1.20372i	0.132649	−	0.0963751i
$157$	0.0856625			0.00683662			0.00341831	−	0.999994i	$-0.498912\pi$
$157$	0.0856625			0.00683662			0.00341831	+	0.999994i	$0.498912\pi$
$158$	4.13542	−	3.00456i	0.328996	−	0.239030i
$159$	−3.85979	−	11.8792i	−0.306101	−	0.942083i
$160$	−2.07643	−	1.58123i	−0.164156	−	0.125008i
$161$	−0.139816	+	0.430310i	−0.0110190	+	0.0339131i
$162$	−6.87982	−	21.1739i	−0.540530	−	1.66358i
$163$	1.19816	+	3.68755i	0.0938471	+	0.288832i	0.986952	−	0.161018i	$-0.0514777\pi$
$163$	1.19816	+	3.68755i	0.0938471	+	0.288832i	−0.893104	+	0.449849i	$0.851478\pi$
$164$	−0.507738	+	1.56266i	−0.0396477	+	0.122023i
$165$	−42.0668	−	0.947209i	−3.27490	−	0.0737401i
$166$	−8.22592	−	25.3168i	−0.638456	−	1.96496i
$167$	−10.2461	+	7.44423i	−0.792867	+	0.576052i	−0.908813	−	0.417204i	$-0.863010\pi$
$167$	−10.2461	+	7.44423i	−0.792867	+	0.576052i	0.115946	+	0.993256i	$0.463010\pi$
$168$	8.26220			0.637443
$169$	2.29908	−	1.67038i	0.176853	−	0.128491i
$170$	3.36264	−	9.60764i	0.257903	−	0.736872i
$171$	8.21787	+	5.97063i	0.628436	+	0.456586i
$172$	0.508083	+	0.369144i	0.0387409	+	0.0281469i
$173$	−2.78962	+	8.58556i	−0.212091	+	0.652748i	0.787257	+	0.616625i	$0.211501\pi$
$173$	−2.78962	+	8.58556i	−0.212091	+	0.652748i	−0.999347	+	0.0361225i	$0.988499\pi$
$174$	13.5854			1.02990
$175$	−1.32948	−	4.82001i	−0.100499	−	0.364358i
$176$	−26.5184			−1.99890
$177$	−6.92281	+	21.3062i	−0.520351	+	1.60147i
$178$	−2.39283	−	1.73849i	−0.179350	−	0.130306i
$179$	19.5030	+	14.1697i	1.45772	+	1.05910i	0.983950	+	0.178446i	$0.0571071\pi$
$179$	19.5030	+	14.1697i	1.45772	+	1.05910i	0.473770	+	0.880649i	$0.342893\pi$
$180$	−2.52139	+	1.74655i	−0.187934	+	0.130180i
$181$	11.5854	−	8.41729i	0.861137	−	0.625652i	−0.0670572	−	0.997749i	$-0.521361\pi$
$181$	11.5854	−	8.41729i	0.861137	−	0.625652i	0.928194	+	0.372097i	$0.121361\pi$
$182$	4.73503			0.350984
$183$	−35.2240	+	25.5918i	−2.60383	+	1.89180i
$184$	0.372407	+	1.14615i	0.0274542	+	0.0844954i
$185$	−3.03168	+	8.66203i	−0.222894	+	0.636845i
$186$	1.60811	−	4.94926i	0.117913	−	0.362898i
$187$	−5.74409	−	17.6785i	−0.420050	−	1.29278i
$188$	−0.370739	−	1.14102i	−0.0270389	−	0.0832173i
$189$	3.47197	−	10.6856i	0.252549	−	0.777265i
$190$	1.68337	−	4.80966i	0.122124	−	0.348929i
$191$	5.00598	+	15.4068i	0.362220	+	1.11480i	0.951704	+	0.307018i	$0.0993313\pi$
$191$	5.00598	+	15.4068i	0.362220	+	1.11480i	−0.589484	+	0.807780i	$0.700669\pi$
$192$	17.5885	−	12.7788i	1.26934	−	0.922231i
$193$	−10.9768			−0.790127			−0.395064	−	0.918654i	$-0.629277\pi$
$193$	−10.9768			−0.790127			−0.395064	+	0.918654i	$0.629277\pi$
$194$	−7.09392	+	5.15403i	−0.509314	+	0.370038i
$195$	18.1728	−	12.5882i	1.30138	−	0.901460i
$196$	−0.167580	−	0.121754i	−0.0119700	−	0.00869674i
$197$	−13.5385	−	9.83630i	−0.964578	−	0.700807i	−0.0103689	−	0.999946i	$-0.503301\pi$
$197$	−13.5385	−	9.83630i	−0.964578	−	0.700807i	−0.954210	+	0.299139i	$0.903301\pi$
$198$	−18.4426	+	56.7605i	−1.31066	+	4.03379i
$199$	3.87252			0.274515			0.137258	−	0.990535i	$-0.456171\pi$
$199$	3.87252			0.274515			0.137258	+	0.990535i	$0.456171\pi$
$200$	−10.4110	−	8.30501i	−0.736171	−	0.587253i
$201$	30.4302			2.14638
$202$	3.95425	−	12.1699i	0.278220	−	0.856273i
$203$	2.38495	+	1.73277i	0.167391	+	0.121617i
$204$	−1.59282	−	1.15725i	−0.111520	−	0.0810239i
$205$	−5.85933	+	16.7411i	−0.409234	+	1.16925i
$206$	−3.75755	+	2.73002i	−0.261801	+	0.190209i
$207$	2.99619			0.208250
$208$	11.2715	−	8.18926i	0.781541	−	0.567823i
$209$	−2.87554	−	8.84999i	−0.198905	−	0.612167i
$210$	−10.3021	−	0.231969i	−0.710911	−	0.0160074i
$211$	3.59777	−	11.0728i	0.247681	−	0.762284i	−0.747503	−	0.664258i	$-0.768747\pi$
$211$	3.59777	−	11.0728i	0.247681	−	0.762284i	0.995184	−	0.0980252i	$-0.0312526\pi$
$212$	0.257748	+	0.793266i	0.0177022	+	0.0544817i
$213$	−6.00519	−	18.4821i	−0.411469	−	1.26637i
$214$	5.86759	−	18.0586i	0.401100	−	1.23446i
$215$	5.39362	+	4.10733i	0.367842	+	0.280118i
$216$	−9.24778	−	28.4617i	−0.629231	−	1.93658i
$217$	0.913571	−	0.663748i	0.0620172	−	0.0450582i
$218$	20.8656			1.41320
$219$	6.36702	−	4.62591i	0.430243	−	0.312590i
$220$	2.80912	+	0.0632524i	0.189391	+	0.00426447i
$221$	7.90087	+	5.74032i	0.531470	+	0.386135i
$222$	15.3015	+	11.1172i	1.02697	+	0.746138i
$223$	−6.46428	+	19.8950i	−0.432880	+	1.33227i	0.462363	+	0.886691i	$0.347002\pi$
$223$	−6.46428	+	19.8950i	−0.432880	+	1.33227i	−0.895243	+	0.445578i	$0.852998\pi$
$224$	−1.16721			−0.0779872
$225$	−27.6358	+	18.2364i	−1.84238	+	1.21576i
$226$	−2.71775			−0.180782
$227$	−0.302569	+	0.931212i	−0.0200822	+	0.0618067i	−0.960595	−	0.277950i	$-0.910345\pi$
$227$	−0.302569	+	0.931212i	−0.0200822	+	0.0618067i	0.940513	+	0.339757i	$0.110345\pi$
$228$	−0.797379	−	0.579330i	−0.0528077	−	0.0383671i
$229$	−5.22726	−	3.79782i	−0.345427	−	0.250967i	0.401521	−	0.915850i	$-0.368482\pi$
$229$	−5.22726	−	3.79782i	−0.345427	−	0.250967i	−0.746948	+	0.664882i	$0.768482\pi$
$230$	−0.432172	−	1.43958i	−0.0284966	−	0.0949233i
$231$	−15.2238	+	11.0607i	−1.00165	+	0.727742i
$232$	7.85205			0.515512
$233$	13.3540	−	9.70227i	0.874851	−	0.635617i	−0.0570332	−	0.998372i	$-0.518164\pi$
$233$	13.3540	−	9.70227i	0.874851	−	0.635617i	0.931884	+	0.362756i	$0.118164\pi$
$234$	−9.68947	−	29.8211i	−0.633421	−	1.94947i
$235$	−3.72381	−	12.4042i	−0.242915	−	0.809158i
$236$	0.462289	−	1.42278i	0.0300925	−	0.0926151i
$237$	−3.29810	−	10.1505i	−0.214235	−	0.659346i
$238$	−1.40672	−	4.32943i	−0.0911839	−	0.280635i
$239$	−6.80639	+	20.9479i	−0.440269	+	1.35501i	0.447321	+	0.894374i	$0.352378\pi$
$239$	−6.80639	+	20.9479i	−0.440269	+	1.35501i	−0.887590	+	0.460635i	$0.847622\pi$
$240$	−24.9249	+	17.2653i	−1.60889	+	1.11447i
$241$	4.66948	+	14.3712i	0.300787	+	0.925728i	0.981216	+	0.192914i	$0.0617938\pi$
$241$	4.66948	+	14.3712i	0.300787	+	0.925728i	−0.680428	+	0.732815i	$0.738206\pi$
$242$	31.0105	−	22.5305i	1.99343	−	1.44831i
$243$	−12.7786			−0.819745
$244$	2.35218	−	1.70896i	0.150583	−	0.109405i
$245$	−1.77897	−	1.35472i	−0.113654	−	0.0865497i
$246$	29.5732	+	21.4862i	1.88552	+	1.36991i
$247$	3.95524	+	2.87365i	0.251666	+	0.182846i
$248$	0.929455	−	2.86057i	0.0590204	−	0.181646i
$249$	−55.5804			−3.52227
$250$	12.7483	+	10.6477i	0.806271	+	0.673423i
$251$	20.9803			1.32427			0.662133	−	0.749386i	$-0.269651\pi$
$251$	20.9803			1.32427			0.662133	+	0.749386i	$0.269651\pi$
$252$	−0.423880	+	1.30457i	−0.0267019	+	0.0821801i
$253$	−2.22056	−	1.61333i	−0.139605	−	0.101429i
$254$	13.4327	+	9.75945i	0.842845	+	0.612362i
$255$	−16.9088	−	12.8763i	−1.05887	−	0.806348i
$256$	−3.98028	+	2.89184i	−0.248767	+	0.180740i
$257$	−19.5669			−1.22055			−0.610276	−	0.792189i	$-0.708942\pi$
$257$	−19.5669			−1.22055			−0.610276	+	0.792189i	$0.708942\pi$
$258$	11.3036	−	8.21257i	0.703734	−	0.511293i
$259$	1.26826	+	3.90332i	0.0788061	+	0.242540i
$260$	−1.21354	+	0.840610i	−0.0752605	+	0.0521324i
$261$	6.03253	−	18.5662i	0.373404	−	1.14922i
$262$	4.38011	+	13.4806i	0.270604	+	0.832834i
$263$	3.52257	+	10.8414i	0.217211	+	0.668507i	0.998989	+	0.0449505i	$0.0143130\pi$
$263$	3.52257	+	10.8414i	0.217211	+	0.668507i	−0.781778	+	0.623557i	$0.785687\pi$
$264$	−15.4885	+	47.6686i	−0.953248	+	2.93380i
$265$	2.58889	+	8.62370i	0.159034	+	0.529750i
$266$	−0.704213	−	2.16735i	−0.0431781	−	0.132888i
$267$	−4.99611	+	3.62988i	−0.305757	+	0.222145i
$268$	−2.03206			−0.124128
$269$	24.5956	−	17.8697i	1.49962	−	1.08954i	0.529088	−	0.848567i	$-0.322534\pi$
$269$	24.5956	−	17.8697i	1.49962	−	1.08954i	0.970532	−	0.240971i	$-0.0774658\pi$
$270$	10.7319	+	35.7483i	0.653122	+	2.17557i
$271$	13.2225	+	9.60671i	0.803210	+	0.583566i	0.911854	−	0.410515i	$-0.134651\pi$
$271$	13.2225	+	9.60671i	0.803210	+	0.583566i	−0.108644	+	0.994081i	$0.534651\pi$
$272$	−10.8364	−	7.87310i	−0.657053	−	0.477377i
$273$	3.05510	−	9.40262i	0.184903	−	0.569072i
$274$	−16.3361			−0.986901
$275$	30.3012	+	1.36526i	1.82723	+	0.0823284i
$276$	−0.290720			−0.0174993
$277$	−1.02073	+	3.14150i	−0.0613300	+	0.188754i	−0.977027	−	0.213115i	$-0.931639\pi$
$277$	−1.02073	+	3.14150i	−0.0613300	+	0.188754i	0.915697	+	0.401869i	$0.131639\pi$
$278$	−12.0317	−	8.74155i	−0.721614	−	0.524283i
$279$	−6.04975	−	4.39540i	−0.362189	−	0.263146i
$280$	−5.95437	−	0.134073i	−0.355842	−	0.00801241i
$281$	14.7592	−	10.7232i	0.880461	−	0.639692i	−0.0529123	−	0.998599i	$-0.516850\pi$
$281$	14.7592	−	10.7232i	0.880461	−	0.639692i	0.933373	+	0.358907i	$0.116850\pi$
$282$	−26.6913			−1.58944
$283$	−5.56963	+	4.04657i	−0.331080	+	0.240544i	−0.740889	−	0.671628i	$-0.765595\pi$
$283$	−5.56963	+	4.04657i	−0.331080	+	0.240544i	0.409809	+	0.912172i	$0.365595\pi$
$284$	0.401013	+	1.23419i	0.0237957	+	0.0732357i
$285$	−8.46468	−	6.44600i	−0.501404	−	0.381828i
$286$	−8.87636	+	27.3186i	−0.524870	+	1.61538i
$287$	2.45117	+	7.54393i	0.144688	+	0.445304i
$288$	2.38850	+	7.35104i	0.140744	+	0.433164i
$289$	−2.35193	+	7.23851i	−0.138349	+	0.425794i
$290$	−9.79066	−	0.220454i	−0.574927	−	0.0129455i
$291$	5.65758	+	17.4122i	0.331653	+	1.02072i
$292$	−0.425174	+	0.308907i	−0.0248815	+	0.0180774i
$293$	12.3481			0.721383			0.360692	−	0.932685i	$-0.382541\pi$
$293$	12.3481			0.721383			0.360692	+	0.932685i	$0.382541\pi$
$294$	−3.72827	+	2.70875i	−0.217437	+	0.157977i
$295$	5.33485	−	15.2426i	0.310607	−	0.887456i
$296$	8.84395	+	6.42550i	0.514044	+	0.373475i
$297$	55.1418	+	40.0629i	3.19965	+	2.32468i
$298$	2.29634	−	7.06742i	0.133024	−	0.409405i
$299$	1.44206			0.0833963
$300$	2.68149	−	1.76948i	0.154816	−	0.102161i
$301$	3.03187			0.174754
$302$	−4.48801	+	13.8127i	−0.258256	+	0.794830i
$303$	−21.6152	−	15.7043i	−1.24176	−	0.902191i
$304$	−5.42478	−	3.94134i	−0.311133	−	0.226051i
$305$	25.8004	−	17.8718i	1.47733	−	1.02334i
$306$	−24.3880	+	17.7190i	−1.39417	+	1.01292i
$307$	1.98074			0.113047			0.0565234	−	0.998401i	$-0.481998\pi$
$307$	1.98074			0.113047			0.0565234	+	0.998401i	$0.481998\pi$
$308$	1.01661	−	0.738608i	0.0579266	−	0.0420861i
$309$	2.99674	+	9.22302i	0.170479	+	0.524679i
$310$	−1.23924	+	3.54072i	−0.0703842	+	0.201099i
$311$	5.30403	−	16.3241i	0.300764	−	0.925657i	−0.680460	−	0.732785i	$-0.738220\pi$
$311$	5.30403	−	16.3241i	0.300764	−	0.925657i	0.981224	−	0.192872i	$-0.0617801\pi$
$312$	−8.13741	−	25.0444i	−0.460690	−	1.41786i
$313$	−2.98498	−	9.18681i	−0.168721	−	0.519269i	0.830570	−	0.556914i	$-0.188015\pi$
$313$	−2.98498	−	9.18681i	−0.168721	−	0.519269i	−0.999291	+	0.0376444i	$0.988015\pi$
$314$	−0.0393268	+	0.121035i	−0.00221934	+	0.00683042i
$315$	−4.89161	+	13.9761i	−0.275611	+	0.787466i
$316$	0.220239	+	0.677827i	0.0123894	+	0.0381308i
$317$	−3.75290	+	2.72664i	−0.210784	+	0.153143i	−0.688168	−	0.725551i	$-0.741585\pi$
$317$	−3.75290	+	2.72664i	−0.210784	+	0.153143i	0.477384	+	0.878695i	$0.341585\pi$
$318$	18.5565			1.04060
$319$	−14.4680	+	10.5116i	−0.810054	+	0.588539i
$320$	−12.8830	+	8.92397i	−0.720182	+	0.498865i
$321$	−32.0741	−	23.3032i	−1.79020	−	1.30066i
$322$	−0.543810	−	0.395101i	−0.0303054	−	0.0220181i
$323$	1.45244	−	4.47015i	0.0808160	−	0.248726i
$324$	3.10417			0.172454
$325$	−13.3010	+	8.77712i	−0.737807	+	0.486867i
$326$	−5.76033			−0.319035
$327$	13.4627	−	41.4340i	0.744490	−	2.29130i
$328$	17.0927	+	12.4186i	0.943786	+	0.685701i
$329$	−4.68574	−	3.40439i	−0.258333	−	0.187690i
$330$	20.6508	−	59.0027i	1.13679	−	3.24799i
$331$	−3.63545	+	2.64131i	−0.199822	+	0.145179i	−0.683197	−	0.730234i	$-0.739411\pi$
$331$	−3.63545	+	2.64131i	−0.199822	+	0.145179i	0.483375	+	0.875414i	$0.339411\pi$
$332$	3.71153			0.203697
$333$	21.9877	−	15.9750i	1.20492	−	0.875425i
$334$	−5.81431	−	17.8946i	−0.318145	−	0.979150i
$335$	−21.9303	−	0.493800i	−1.19818	−	0.0269792i
$336$	−4.19020	+	12.8961i	−0.228594	+	0.703541i
$337$	6.84830	+	21.0769i	0.373050	+	1.14813i	0.944785	+	0.327692i	$0.106271\pi$
$337$	6.84830	+	21.0769i	0.373050	+	1.14813i	−0.571734	+	0.820439i	$0.693729\pi$
$338$	1.30465	+	4.01531i	0.0709637	+	0.218404i
$339$	−1.75352	+	5.39678i	−0.0952382	+	0.293113i
$340$	1.12913	+	0.859852i	0.0612357	+	0.0466320i
$341$	2.11688	+	6.51510i	0.114636	+	0.352812i
$342$	−12.2088	+	8.87024i	−0.660179	+	0.479648i
$343$	−1.00000			−0.0539949
$344$	6.53326	−	4.74669i	0.352250	−	0.255924i
$345$	−3.13750	−	0.0706465i	−0.168918	−	0.00380348i
$346$	−10.8501	−	7.88308i	−0.583306	−	0.423797i
$347$	7.33671	+	5.33043i	0.393855	+	0.286152i	0.767033	−	0.641607i	$-0.221732\pi$
$347$	7.33671	+	5.33043i	0.393855	+	0.286152i	−0.373178	+	0.927760i	$0.621732\pi$
$348$	−0.585335	+	1.80148i	−0.0313773	+	0.0965693i
$349$	12.1902			0.652527			0.326263	−	0.945279i	$-0.394210\pi$
$349$	12.1902			0.652527			0.326263	+	0.945279i	$0.394210\pi$
$350$	7.42070	+	0.334350i	0.396653	+	0.0178717i
$351$	−35.8098			−1.91138
$352$	2.18806	−	6.73416i	0.116624	−	0.358932i
$353$	−16.9787	−	12.3358i	−0.903686	−	0.656566i	0.0357244	−	0.999362i	$-0.488626\pi$
$353$	−16.9787	−	12.3358i	−0.903686	−	0.656566i	−0.939410	+	0.342796i	$0.888626\pi$
$354$	−26.9261	−	19.5629i	−1.43110	−	1.03976i
$355$	4.02789	+	13.4171i	0.213778	+	0.712103i
$356$	0.333628	−	0.242395i	0.0176823	−	0.0128469i
$357$	−9.50482			−0.503049
$358$	−28.9745	+	21.0512i	−1.53135	+	1.11259i
$359$	4.53244	+	13.9494i	0.239213	+	0.736222i	0.996535	+	0.0831797i	$0.0265075\pi$
$359$	4.53244	+	13.9494i	0.239213	+	0.736222i	−0.757322	+	0.653042i	$0.773492\pi$
$360$	11.3403	+	37.7749i	0.597685	+	1.99091i
$361$	−5.14422	+	15.8323i	−0.270748	+	0.833278i
$362$	6.57432	+	20.2337i	0.345539	+	1.06346i
$363$	−24.7317	−	76.1163i	−1.29808	−	3.99507i
$364$	−0.204012	+	0.627885i	−0.0106931	+	0.0329101i
$365$	−4.66362	+	3.23046i	−0.244105	+	0.169090i
$366$	−19.9884	−	61.5181i	−1.04481	−	3.21560i
$367$	17.8913	−	12.9988i	0.933918	−	0.678531i	−0.0130309	−	0.999915i	$-0.504148\pi$
$367$	17.8913	−	12.9988i	0.933918	−	0.678531i	0.946949	+	0.321384i	$0.104148\pi$
$368$	−1.97785			−0.103102
$369$	42.4956	−	30.8749i	2.21223	−	1.60728i
$370$	−10.8470	−	8.26021i	−0.563911	−	0.429428i
$371$	3.25765	+	2.36682i	0.169129	+	0.122879i
$372$	0.587006	+	0.426485i	0.0304349	+	0.0221122i
$373$	9.48730	−	29.1989i	0.491234	−	1.51186i	−0.331511	−	0.943451i	$-0.607558\pi$
$373$	9.48730	−	29.1989i	0.491234	−	1.51186i	0.822745	−	0.568411i	$-0.192442\pi$
$374$	27.6156			1.42797
$375$	29.3692	−	18.4449i	1.51662	−	0.952490i
$376$	−15.4270			−0.795587
$377$	2.90344	−	8.93586i	0.149535	−	0.460220i
$378$	13.5041	+	9.81132i	0.694577	+	0.504640i
$379$	−29.1010	−	21.1431i	−1.49482	−	1.08605i	−0.972390	−	0.233364i	$-0.925027\pi$
$379$	−29.1010	−	21.1431i	−1.49482	−	1.08605i	−0.522427	−	0.852684i	$-0.674973\pi$
$380$	0.565251	+	0.430449i	0.0289968	+	0.0220816i
$381$	28.0468	−	20.3772i	1.43688	−	1.04396i
$382$	−24.0670			−1.23137
$383$	1.17184	−	0.851390i	0.0598781	−	0.0435040i	−0.557444	−	0.830215i	$-0.688218\pi$
$383$	1.17184	−	0.851390i	0.0598781	−	0.0435040i	0.617322	+	0.786711i	$0.288218\pi$
$384$	12.2186	+	37.6048i	0.623525	+	1.91901i
$385$	11.1509	−	7.72415i	0.568302	−	0.393659i
$386$	5.03933	−	15.5095i	0.256495	−	0.789411i
$387$	−6.20424	−	19.0947i	−0.315379	−	0.970637i
$388$	−0.377800	−	1.16275i	−0.0191799	−	0.0590296i
$389$	−0.0148511	+	0.0457069i	−0.000752980	+	0.00231743i	−0.951432	−	0.307858i	$-0.900388\pi$
$389$	−0.0148511	+	0.0457069i	−0.000752980	+	0.00231743i	0.950679	+	0.310175i	$0.100388\pi$
$390$	9.44332	+	31.4561i	0.478181	+	1.59284i
$391$	−0.428417	−	1.31853i	−0.0216660	−	0.0666810i
$392$	−2.15486	+	1.56560i	−0.108837	+	0.0790746i
$393$	29.5953			1.49288
$394$	20.1134	−	14.6132i	1.01330	−	0.736205i
$395$	2.21215	+	7.36875i	0.111305	+	0.370762i
$396$	−6.73206	−	4.89113i	−0.338299	−	0.245789i
$397$	−4.48699	−	3.25999i	−0.225196	−	0.163614i	0.469467	−	0.882950i	$-0.344446\pi$
$397$	−4.48699	−	3.25999i	−0.225196	−	0.163614i	−0.694662	+	0.719336i	$0.744446\pi$
$398$	−1.77783	+	5.47160i	−0.0891146	+	0.274267i
$399$	−4.75819			−0.238207
$400$	18.2429	−	12.0382i	0.912146	−	0.601911i
$401$	−3.14714			−0.157161			−0.0785804	−	0.996908i	$-0.525039\pi$
$401$	−3.14714			−0.157161			−0.0785804	+	0.996908i	$0.525039\pi$
$402$	−13.9702	+	42.9958i	−0.696769	+	2.14443i
$403$	−2.91172	−	2.11549i	−0.145043	−	0.105380i
$404$	1.44341	+	1.04870i	0.0718123	+	0.0521747i
$405$	33.5008	+	0.754329i	1.66467	+	0.0374829i
$406$	−3.54319	+	2.57428i	−0.175846	+	0.127759i
$407$	−24.8976			−1.23413
$408$	−20.4815	+	14.8807i	−1.01399	+	0.736705i
$409$	2.97325	+	9.15073i	0.147018	+	0.452475i	0.997265	−	0.0739092i	$-0.0235475\pi$
$409$	2.97325	+	9.15073i	0.147018	+	0.452475i	−0.850247	+	0.526384i	$0.823547\pi$
$410$	−20.9641	−	15.9645i	−1.03534	−	0.788431i
$411$	−10.5403	+	32.4396i	−0.519912	+	1.60013i
$412$	−0.200115	−	0.615891i	−0.00985897	−	0.0303428i
$413$	−2.23176	−	6.86866i	−0.109818	−	0.337985i
$414$	−1.37552	+	4.23342i	−0.0676031	+	0.208061i
$415$	40.0555	+	0.901921i	1.96625	+	0.0442735i
$416$	1.14958	+	3.53803i	0.0563626	+	0.173466i
$417$	−25.1216	+	18.2519i	−1.23021	+	0.893799i
$418$	13.8246			0.676182
$419$	13.7056	−	9.95770i	0.669563	−	0.486466i	−0.200316	−	0.979731i	$-0.564197\pi$
$419$	13.7056	−	9.95770i	0.669563	−	0.486466i	0.869879	+	0.493266i	$0.164197\pi$
$420$	0.474632	−	1.35610i	0.0231597	−	0.0661710i
$421$	−1.08741	−	0.790051i	−0.0529972	−	0.0385047i	0.560971	−	0.827835i	$-0.310428\pi$
$421$	−1.08741	−	0.790051i	−0.0529972	−	0.0385047i	−0.613968	+	0.789331i	$0.710428\pi$
$422$	13.9934	+	10.1668i	0.681190	+	0.494913i
$423$	−11.8522	+	36.4772i	−0.576272	+	1.77358i
$424$	10.7253			0.520865
$425$	11.9768	+	9.55406i	0.580962	+	0.463440i
$426$	28.8709			1.39880
$427$	4.33740	−	13.3491i	0.209901	−	0.646010i
$428$	2.14183	+	1.55613i	0.103529	+	0.0752185i
$429$	48.5210	+	35.2526i	2.34262	+	1.70201i
$430$	−8.27953	+	5.73518i	−0.399275	+	0.276575i
$431$	27.4499	−	19.9435i	1.32222	−	0.960647i	0.322315	−	0.946632i	$-0.395539\pi$
$431$	27.4499	−	19.9435i	1.32222	−	0.960647i	0.999902	−	0.0140142i	$-0.00446101\pi$
$432$	49.1147			2.36303
$433$	−13.1350	+	9.54314i	−0.631228	+	0.458614i	−0.856825	−	0.515607i	$-0.827567\pi$
$433$	−13.1350	+	9.54314i	−0.631228	+	0.458614i	0.225597	+	0.974221i	$0.427567\pi$
$434$	0.518420	+	1.59553i	0.0248850	+	0.0765881i
$435$	−6.75481	+	19.2996i	−0.323868	+	0.925346i
$436$	−0.899008	+	2.76686i	−0.0430547	+	0.132509i
$437$	−0.214469	−	0.660067i	−0.0102594	−	0.0315753i
$438$	3.61307	+	11.1199i	0.172639	+	0.531328i
$439$	−1.25090	+	3.84987i	−0.0597021	+	0.183744i	−0.976460	−	0.215700i	$-0.930797\pi$
$439$	−1.25090	+	3.84987i	−0.0597021	+	0.183744i	0.916758	+	0.399444i	$0.130797\pi$
$440$	11.9357	−	34.1023i	0.569012	−	1.62576i
$441$	2.04634	+	6.29798i	0.0974447	+	0.299904i
$442$	−11.7379	+	8.52807i	−0.558314	+	0.405639i
$443$	−18.1315			−0.861456			−0.430728	−	0.902482i	$-0.641743\pi$
$443$	−18.1315			−0.861456			−0.430728	+	0.902482i	$0.641743\pi$
$444$	−2.13346	+	1.55005i	−0.101250	+	0.0735622i
$445$	3.65948	−	2.53490i	0.173476	−	0.120166i
$446$	−25.1426	−	18.2672i	−1.19054	−	0.864976i
$447$	−12.5525	−	9.11996i	−0.593715	−	0.431359i
$448$	−2.16581	+	6.66567i	−0.102325	+	0.314923i
$449$	−29.2576			−1.38075			−0.690377	−	0.723450i	$-0.742555\pi$
$449$	−29.2576			−1.38075			−0.690377	+	0.723450i	$0.742555\pi$
$450$	−13.0795	−	47.4196i	−0.616575	−	2.23538i
$451$	−48.1195			−2.26586
$452$	0.117096	−	0.360384i	0.00550773	−	0.0169511i
$453$	24.5329	+	17.8242i	1.15265	+	0.837453i
$454$	−1.17683	−	0.855019i	−0.0552315	−	0.0401280i
$455$	−2.35431	+	6.72667i	−0.110372	+	0.315351i
$456$	−10.2532	+	7.44940i	−0.480151	+	0.348850i
$457$	−19.9217			−0.931900			−0.465950	−	0.884811i	$-0.654287\pi$
$457$	−19.9217			−0.931900			−0.465950	+	0.884811i	$0.654287\pi$
$458$	7.76585	−	5.64222i	0.362874	−	0.263644i
$459$	10.6386	+	32.7423i	0.496568	+	1.52828i
$460$	0.209515	+	0.00471760i	0.00976869	+	0.000219959i
$461$	−9.96893	+	30.6812i	−0.464299	+	1.42897i	0.395563	+	0.918439i	$0.370550\pi$
$461$	−9.96893	+	30.6812i	−0.464299	+	1.42897i	−0.859862	+	0.510527i	$0.829450\pi$
$462$	−8.63897	−	26.5880i	−0.401921	−	1.23699i
$463$	9.44259	+	29.0613i	0.438835	+	1.35059i	0.889106	+	0.457702i	$0.151327\pi$
$463$	9.44259	+	29.0613i	0.438835	+	1.35059i	−0.450271	+	0.892892i	$0.648673\pi$
$464$	−3.98219	+	12.2559i	−0.184869	+	0.568967i
$465$	6.23144	+	4.74535i	0.288976	+	0.220060i
$466$	7.57795	+	23.3225i	0.351042	+	1.08040i
$467$	−9.14575	+	6.64478i	−0.423215	+	0.307484i	−0.778930	−	0.627111i	$-0.784237\pi$
$467$	−9.14575	+	6.64478i	−0.423215	+	0.307484i	0.355715	+	0.934594i	$0.384237\pi$
$468$	4.37188			0.202090
$469$	−7.93647	+	5.76618i	−0.366472	+	0.266258i
$470$	19.2358	+	0.433128i	0.887281	+	0.0199787i
$471$	0.214973	+	0.156187i	0.00990542	+	0.00719671i
$472$	−15.5627	−	11.3070i	−0.716331	−	0.520445i
$473$	−5.68360	+	17.4923i	−0.261332	+	0.804297i
$474$	15.8561			0.728295
$475$	5.99569	+	4.78284i	0.275101	+	0.219452i
$476$	0.634710			0.0290919
$477$	8.23994	−	25.3599i	0.377281	−	1.16115i
$478$	−26.4733	−	19.2339i	−1.21086	−	0.879740i
$479$	11.3304	+	8.23205i	0.517701	+	0.376132i	0.815737	−	0.578423i	$-0.196332\pi$
$479$	11.3304	+	8.23205i	0.517701	+	0.376132i	−0.298036	+	0.954555i	$0.596332\pi$
$480$	−2.32782	−	7.75406i	−0.106250	−	0.353923i
$481$	10.5826	−	7.68872i	0.482526	−	0.350575i
$482$	−22.4492			−1.02253
$483$	−1.13545	+	0.824951i	−0.0516646	+	0.0375366i
$484$	1.65152	+	5.08287i	0.0750692	+	0.231039i
$485$	−3.79473	−	12.6404i	−0.172310	−	0.573971i
$486$	5.86650	−	18.0552i	0.266110	−	0.819002i
$487$	−0.744834	−	2.29236i	−0.0337517	−	0.103877i	0.932761	−	0.360494i	$-0.117392\pi$
$487$	−0.744834	−	2.29236i	−0.0337517	−	0.103877i	−0.966513	+	0.256617i	$0.917392\pi$
$488$	−11.5529	−	35.5561i	−0.522974	−	1.60955i
$489$	−3.71663	+	11.4386i	−0.168072	+	0.517272i
$490$	2.73083	−	1.89163i	0.123366	−	0.0854551i
$491$	11.7101	+	36.0400i	0.528470	+	1.62646i	0.757350	+	0.653009i	$0.226494\pi$
$491$	11.7101	+	36.0400i	0.528470	+	1.62646i	−0.228880	+	0.973455i	$0.573506\pi$
$492$	−4.12334	+	2.99579i	−0.185895	+	0.135060i
$493$	−9.03298			−0.406825
$494$	−5.87608	+	4.26922i	−0.264377	+	0.192081i
$495$	−71.4651	−	54.4219i	−3.21212	−	2.44608i
$496$	3.99356	+	2.90149i	0.179316	+	0.130281i
$497$	5.06836	+	3.68238i	0.227347	+	0.165177i
$498$	25.5164	−	78.5314i	1.14342	−	3.51908i
$499$	3.80005			0.170113			0.0850567	−	0.996376i	$-0.472893\pi$
$499$	3.80005			0.170113			0.0850567	+	0.996376i	$0.472893\pi$
$500$	−1.96120	+	1.23171i	−0.0877077	+	0.0550836i
$501$	−39.2858			−1.75516
$502$	−9.63185	+	29.6438i	−0.429890	+	1.32307i
$503$	10.2273	+	7.43059i	0.456014	+	0.331314i	0.791966	−	0.610566i	$-0.209058\pi$
$503$	10.2273	+	7.43059i	0.456014	+	0.331314i	−0.335952	+	0.941879i	$0.609058\pi$
$504$	14.2697	+	10.3675i	0.635621	+	0.461806i
$505$	15.3227	+	11.6685i	0.681851	+	0.519242i
$506$	3.29896	−	2.39684i	0.146657	−	0.106552i
$507$	8.81520			0.391497
$508$	−1.87290	+	1.36074i	−0.0830966	+	0.0603732i
$509$	−13.4003	−	41.2420i	−0.593959	−	1.82802i	−0.559840	−	0.828601i	$-0.689137\pi$
$509$	−13.4003	−	41.2420i	−0.593959	−	1.82802i	−0.0341196	−	0.999418i	$-0.510863\pi$
$510$	25.9561	−	17.9796i	1.14935	−	0.796150i
$511$	−0.784018	+	2.41296i	−0.0346829	+	0.106743i
$512$	5.61931	+	17.2945i	0.248341	+	0.764314i
$513$	5.32578	+	16.3911i	0.235139	+	0.723683i
$514$	8.98298	−	27.6468i	0.396222	−	1.21945i
$515$	−2.01002	−	6.69544i	−0.0885718	−	0.295036i
$516$	0.601996	+	1.85275i	0.0265014	+	0.0815629i
$517$	28.4255	−	20.6523i	1.25015	−	0.908288i
$518$	−6.09737			−0.267903
$519$	−22.6545	+	16.4595i	−0.994422	+	0.722490i
$520$	5.45803	+	18.1809i	0.239351	+	0.797287i
$521$	−1.45390	−	1.05632i	−0.0636963	−	0.0462781i	0.555481	−	0.831529i	$-0.312534\pi$
$521$	−1.45390	−	1.05632i	−0.0636963	−	0.0462781i	−0.619178	+	0.785251i	$0.712534\pi$
$522$	23.4633	+	17.0471i	1.02696	+	0.746132i
$523$	5.01588	−	15.4373i	0.219329	−	0.675026i	−0.779489	−	0.626416i	$-0.784521\pi$
$523$	5.01588	−	15.4373i	0.219329	−	0.675026i	0.998818	−	0.0486094i	$-0.0154789\pi$
$524$	−1.97630			−0.0863352
$525$	5.45185	−	14.5200i	0.237938	−	0.633703i
$526$	−16.9353			−0.738414
$527$	−1.06924	+	3.29079i	−0.0465769	+	0.143349i
$528$	−66.5488	−	48.3505i	−2.89616	−	2.10419i
$529$	18.4418	+	13.3987i	0.801816	+	0.582554i
$530$	−13.3732	−	0.301122i	−0.580896	−	0.0130799i
$531$	−38.6917	+	28.1112i	−1.67908	+	1.21992i
$532$	0.317741			0.0137758
$533$	20.4530	−	14.8600i	0.885918	−	0.643657i
$534$	−2.83512	−	8.72560i	−0.122688	−	0.377594i
$535$	22.7369	+	17.3145i	0.983002	+	0.748573i
$536$	−8.07446	+	24.8506i	−0.348763	+	1.07338i
$537$	23.1079	+	71.1187i	0.997178	+	3.06900i
$538$	13.9572	+	42.9557i	0.601736	+	1.85195i
$539$	1.87462	−	5.76947i	0.0807454	−	0.248509i
$540$	−5.20277	−	0.117150i	−0.223891	−	0.00504131i
$541$	−10.2758	−	31.6256i	−0.441790	−	1.35969i	−0.885966	−	0.463751i	$-0.846503\pi$
$541$	−10.2758	−	31.6256i	−0.441790	−	1.35969i	0.444175	−	0.895940i	$-0.353497\pi$
$542$	−19.6439	+	14.2722i	−0.843780	+	0.613042i
$543$	44.4210			1.90629
$544$	2.89344	−	2.10221i	0.124055	−	0.0901314i
$545$	−10.3746	+	29.6420i	−0.444400	+	1.26972i
$546$	11.8827	+	8.63329i	0.508533	+	0.369471i
$547$	0.587322	+	0.426714i	0.0251121	+	0.0182450i	0.600270	−	0.799797i	$-0.295060\pi$
$547$	0.587322	+	0.426714i	0.0251121	+	0.0182450i	−0.575158	+	0.818042i	$0.695060\pi$
$548$	0.703853	−	2.16624i	0.0300671	−	0.0925371i
$549$	−92.9483			−3.96694
$550$	−15.8400	+	42.1867i	−0.675419	+	1.79885i
$551$	−4.52198			−0.192643
$552$	−1.15519	+	3.55530i	−0.0491681	+	0.151324i
$553$	2.78358	+	2.02239i	0.118370	+	0.0860009i
$554$	−3.97011	−	2.88446i	−0.168674	−	0.122549i
$555$	−23.4014	+	16.2100i	−0.993334	+	0.688076i
$556$	1.67756	−	1.21882i	0.0711444	−	0.0516894i
$557$	1.47906			0.0626698			0.0313349	−	0.999509i	$-0.490024\pi$
$557$	1.47906			0.0626698			0.0313349	+	0.999509i	$0.490024\pi$
$558$	8.98778	−	6.53000i	0.380483	−	0.276437i
$559$	−2.98608	−	9.19020i	−0.126298	−	0.388704i
$560$	3.22905	−	9.22593i	0.136452	−	0.389867i
$561$	17.8179	−	54.8378i	0.752272	−	2.31525i
$562$	8.37535	+	25.7767i	0.353293	+	1.08732i
$563$	−8.82141	−	27.1495i	−0.371778	−	1.14422i	−0.945627	−	0.325254i	$-0.894550\pi$
$563$	−8.82141	−	27.1495i	−0.371778	−	1.14422i	0.573848	−	0.818962i	$-0.305450\pi$
$564$	1.15001	−	3.53938i	0.0484243	−	0.149035i
$565$	1.35130	−	3.86088i	0.0568494	−	0.162428i
$566$	−3.16058	−	9.72725i	−0.132849	−	0.408867i
$567$	12.1238	−	8.80843i	0.509150	−	0.369919i
$568$	16.6867			0.700160
$569$	−18.8462	+	13.6926i	−0.790074	+	0.574023i	−0.907986	−	0.419002i	$-0.862380\pi$
$569$	−18.8462	+	13.6926i	−0.790074	+	0.574023i	0.117911	+	0.993024i	$0.462380\pi$
$570$	12.9938	−	9.00073i	0.544251	−	0.376999i
$571$	−13.8094	−	10.0331i	−0.577907	−	0.419874i	0.260062	−	0.965592i	$-0.416257\pi$
$571$	−13.8094	−	10.0331i	−0.577907	−	0.419874i	−0.837969	+	0.545718i	$0.816257\pi$
$572$	−3.24012	−	2.35409i	−0.135476	−	0.0984292i
$573$	−15.5283	+	47.7912i	−0.648704	+	1.99651i
$574$	−11.7844			−0.491870
$575$	2.25998	+	0.101826i	0.0942476	+	0.00424646i
$576$	46.4122			1.93384
$577$	11.7780	−	36.2491i	0.490326	−	1.50907i	−0.333790	−	0.942647i	$-0.608328\pi$
$577$	11.7780	−	36.2491i	0.490326	−	1.50907i	0.824116	−	0.566421i	$-0.191672\pi$
$578$	−9.14777	−	6.64624i	−0.380497	−	0.276447i
$579$	−27.5466	−	20.0138i	−1.14480	−	0.831744i
$580$	0.451070	−	1.28878i	0.0187297	−	0.0535138i
$581$	14.4959	−	10.5319i	0.601391	−	0.436936i
$582$	−27.1996			−1.12746
$583$	−19.7621	+	14.3580i	−0.818465	+	0.594649i
$584$	2.08827	+	6.42704i	0.0864134	+	0.265953i
$585$	47.1822	+	1.06239i	1.95074	+	0.0439244i
$586$	−5.66888	+	17.4470i	−0.234179	+	0.720729i
$587$	1.67683	+	5.16075i	0.0692101	+	0.213007i	0.979679	−	0.200570i	$-0.0642794\pi$
$587$	1.67683	+	5.16075i	0.0692101	+	0.213007i	−0.910469	+	0.413577i	$0.864279\pi$
$588$	−0.198556	−	0.611092i	−0.00818831	−	0.0252010i
$589$	−0.535271	+	1.64739i	−0.0220555	+	0.0678797i
$590$	19.0875	+	14.5355i	0.785821	+	0.598416i
$591$	−16.0409	−	49.3690i	−0.659836	−	2.03077i
$592$	−14.5145	+	10.5454i	−0.596543	+	0.433414i
$593$	−34.6559			−1.42315			−0.711574	−	0.702611i	$-0.752017\pi$
$593$	−34.6559			−1.42315			−0.711574	+	0.702611i	$0.752017\pi$
$594$	−81.9212	+	59.5192i	−3.36127	+	2.44210i
$595$	6.84990	+	0.154238i	0.280819	+	0.00632313i
$596$	0.838229	+	0.609009i	0.0343352	+	0.0249460i
$597$	9.71819	+	7.06068i	0.397739	+	0.288974i
$598$	−0.662033	+	2.03753i	−0.0270726	+	0.0833208i
$599$	11.7104			0.478476			0.239238	−	0.970961i	$-0.423102\pi$
$599$	11.7104			0.478476			0.239238	+	0.970961i	$0.423102\pi$
$600$	−10.9844	−	39.8239i	−0.448438	−	1.62580i
$601$	−3.86935			−0.157834			−0.0789170	−	0.996881i	$-0.525146\pi$
$601$	−3.86935			−0.157834			−0.0789170	+	0.996881i	$0.525146\pi$
$602$	−1.39190	+	4.28383i	−0.0567296	+	0.174596i
$603$	52.5560	+	38.1842i	2.14025	+	1.55498i
$604$	−1.63825	−	1.19026i	−0.0666593	−	0.0484308i
$605$	16.5884	+	55.2565i	0.674413	+	2.24650i
$606$	32.1125	−	23.3311i	1.30448	−	0.947760i
$607$	21.5901			0.876316			0.438158	−	0.898898i	$-0.355631\pi$
$607$	21.5901			0.876316			0.438158	+	0.898898i	$0.355631\pi$
$608$	1.44848	−	1.05238i	0.0587435	−	0.0426797i
$609$	2.82578	+	8.69687i	0.114507	+	0.352415i
$610$	13.4069	+	44.6590i	0.542830	+	1.80819i
$611$	−5.70441	+	17.5564i	−0.230776	+	0.710254i
$612$	−1.29883	−	3.99739i	−0.0525021	−	0.161585i
$613$	−3.91962	−	12.0634i	−0.158312	−	0.487234i	0.840169	−	0.542324i	$-0.182455\pi$
$613$	−3.91962	−	12.0634i	−0.158312	−	0.487234i	−0.998481	+	0.0550898i	$0.982455\pi$
$614$	−0.909337	+	2.79865i	−0.0366979	+	0.112944i
$615$	−45.2279	+	31.3291i	−1.82376	+	1.26331i
$616$	−4.99314	−	15.3673i	−0.201179	−	0.619166i
$617$	37.5711	−	27.2970i	1.51255	−	1.09893i	0.547526	−	0.836789i	$-0.315570\pi$
$617$	37.5711	−	27.2970i	1.51255	−	1.09893i	0.965028	−	0.262146i	$-0.0844303\pi$
$618$	−14.4073			−0.579545
$619$	5.59826	−	4.06737i	0.225013	−	0.163481i	−0.469567	−	0.882897i	$-0.655590\pi$
$619$	5.59826	−	4.06737i	0.225013	−	0.163481i	0.694580	+	0.719415i	$0.255590\pi$
$620$	−0.416121	−	0.316883i	−0.0167118	−	0.0127263i
$621$	4.11269	+	2.98804i	0.165037	+	0.119906i
$622$	20.6299	+	14.9885i	0.827183	+	0.600983i
$623$	0.615208	−	1.89341i	0.0246478	−	0.0758580i
$624$	43.2176			1.73009
$625$	−21.4650	+	12.8162i	−0.858599	+	0.512649i
$626$	14.3507			0.573570
$627$	8.91977	−	27.4522i	0.356221	−	1.09634i
$628$	−0.0143554	−	0.0104298i	−0.000572842	−	0.000416194i
$629$	−10.1741	−	7.39189i	−0.405666	−	0.294734i
$630$	−17.5017	−	13.3278i	−0.697282	−	0.530993i
$631$	8.02227	−	5.82852i	0.319361	−	0.232030i	−0.416542	−	0.909117i	$-0.636758\pi$
$631$	8.02227	−	5.82852i	0.319361	−	0.232030i	0.735903	+	0.677087i	$0.236758\pi$
$632$	9.16448			0.364544
$633$	29.2176	−	21.2278i	1.16129	−	0.843729i
$634$	−2.12964	−	6.55436i	−0.0845789	−	0.260307i
$635$	−20.5434	+	14.2303i	−0.815239	+	0.564711i
$636$	−0.799520	+	2.46067i	−0.0317030	+	0.0975719i
$637$	0.984896	+	3.03120i	0.0390230	+	0.120100i
$638$	−8.21011	−	25.2681i	−0.325042	−	1.00037i
$639$	12.8200	−	39.4558i	0.507151	−	1.56085i
$640$	−8.19540	−	27.2992i	−0.323951	−	1.07910i
$641$	−2.46654	−	7.59123i	−0.0974225	−	0.299836i	0.890455	−	0.455071i	$-0.150386\pi$
$641$	−2.46654	−	7.59123i	−0.0974225	−	0.299836i	−0.987877	+	0.155236i	$0.950386\pi$
$642$	47.6507	−	34.6203i	1.88062	−	1.36635i
$643$	−36.4821			−1.43871			−0.719356	−	0.694641i	$-0.755563\pi$
$643$	−36.4821			−1.43871			−0.719356	+	0.694641i	$0.755563\pi$
$644$	0.0758225	−	0.0550883i	0.00298782	−	0.00217078i
$645$	6.04662	+	20.1415i	0.238086	+	0.793072i
$646$	5.64922	+	4.10440i	0.222266	+	0.161486i
$647$	37.6725	+	27.3706i	1.48106	+	1.07605i	0.977214	+	0.212256i	$0.0680811\pi$
$647$	37.6725	+	27.3706i	1.48106	+	1.07605i	0.503843	+	0.863795i	$0.331919\pi$
$648$	12.3345	−	37.9618i	0.484547	−	1.49128i
$649$	43.8122			1.71978
$650$	−6.29513	−	22.8229i	−0.246915	−	0.895187i
$651$	3.50283			0.137287
$652$	0.248188	−	0.763843i	0.00971978	−	0.0299144i
$653$	37.0553	+	26.9223i	1.45009	+	1.05355i	0.985811	+	0.167860i	$0.0536856\pi$
$653$	37.0553	+	26.9223i	1.45009	+	1.05355i	0.464277	+	0.885690i	$0.346314\pi$
$654$	52.3628	+	38.0438i	2.04755	+	1.48763i
$655$	−21.3286	−	0.480252i	−0.833378	−	0.0187650i
$656$	−28.0522	+	20.3811i	−1.09526	+	0.795749i
$657$	16.8011			0.655475
$658$	6.96134	−	5.05771i	0.271381	−	0.197170i
$659$	−12.0854	−	37.1951i	−0.470781	−	1.44892i	−0.851564	−	0.524251i	$-0.824345\pi$
$659$	−12.0854	−	37.1951i	−0.470781	−	1.44892i	0.380782	−	0.924665i	$-0.375655\pi$
$660$	6.93425	+	5.28055i	0.269915	+	0.205545i
$661$	3.79585	−	11.6824i	0.147641	−	0.454394i	−0.849700	−	0.527267i	$-0.823217\pi$
$661$	3.79585	−	11.6824i	0.147641	−	0.454394i	0.997341	+	0.0728732i	$0.0232168\pi$
$662$	−2.06299	−	6.34923i	−0.0801804	−	0.246770i
$663$	9.36126	+	28.8110i	0.363561	+	1.11893i
$664$	14.7479	−	45.3894i	0.572330	−	1.76145i
$665$	3.42911	+	0.0772126i	0.132975	+	0.00299417i
$666$	12.4773	+	38.4011i	0.483485	+	1.48801i
$667$	−1.07908	+	0.783999i	−0.0417822	+	0.0303565i
$668$	2.62341			0.101503
$669$	−52.4965	+	38.1409i	−2.02963	+	1.47461i
$670$	10.7657	−	30.7593i	0.415915	−	1.18834i
$671$	68.8865	+	50.0490i	2.65933	+	1.93212i
$672$	−2.92914	−	2.12814i	−0.112994	−	0.0820949i
$673$	15.3166	−	47.1398i	0.590413	−	1.81711i	0.0140655	−	0.999901i	$-0.495523\pi$
$673$	15.3166	−	47.1398i	0.590413	−	1.81711i	0.576348	−	0.817204i	$-0.304477\pi$
$674$	−32.9242			−1.26819
$675$	−56.1207	−	2.52860i	−2.16009	−	0.0973258i
$676$	−0.588658			−0.0226407
$677$	11.7570	−	36.1845i	0.451860	−	1.39068i	−0.422922	−	0.906166i	$-0.638996\pi$
$677$	11.7570	−	36.1845i	0.451860	−	1.39068i	0.874782	−	0.484516i	$-0.161004\pi$
$678$	−6.82026	−	4.95521i	−0.261931	−	0.190304i
$679$	−4.77497	−	3.46922i	−0.183247	−	0.133137i
$680$	15.0020	−	10.3918i	0.575302	−	0.398508i
$681$	−2.45717	+	1.78524i	−0.0941588	+	0.0684104i
$682$	−10.1772			−0.389706
$683$	−28.7731	+	20.9049i	−1.10097	+	0.799903i	−0.981218	−	0.192901i	$-0.938210\pi$
$683$	−28.7731	+	20.9049i	−1.10097	+	0.799903i	−0.119754	+	0.992804i	$0.538210\pi$
$684$	−0.650204	−	2.00112i	−0.0248612	−	0.0765149i
$685$	8.12252	−	23.2074i	0.310345	−	0.886709i
$686$	0.459090	−	1.41293i	0.0175281	−	0.0539460i
$687$	−6.19346	−	19.0615i	−0.236295	−	0.727242i
$688$	4.09554	+	12.6048i	0.156141	+	0.480553i
$689$	3.96586	−	12.2056i	0.151087	−	0.464998i
$690$	1.54021	−	4.40065i	0.0586349	−	0.167530i
$691$	1.11438	+	3.42969i	0.0423928	+	0.130472i	0.970013	−	0.243053i	$-0.0781490\pi$
$691$	1.11438	+	3.42969i	0.0423928	+	0.130472i	−0.927620	+	0.373525i	$0.878149\pi$
$692$	1.51281	−	1.09912i	0.0575086	−	0.0417824i
$693$	−40.1721			−1.52601
$694$	−10.8997	+	7.91912i	−0.413748	+	0.300606i
$695$	18.4007	−	12.7461i	0.697979	−	0.483485i
$696$	19.7050	+	14.3165i	0.746914	+	0.542665i
$697$	−19.6634	−	14.2863i	−0.744804	−	0.541132i
$698$	−5.59640	+	17.2239i	−0.211827	+	0.651936i
$699$	51.2023			1.93665
$700$	−0.364062	+	0.969609i	−0.0137603	+	0.0366478i
$701$	−14.5633			−0.550048			−0.275024	−	0.961437i	$-0.588686\pi$
$701$	−14.5633			−0.550048			−0.275024	+	0.961437i	$0.588686\pi$
$702$	16.4399	−	50.5968i	0.620484	−	1.90965i
$703$	−5.09321	−	3.70044i	−0.192094	−	0.139565i
$704$	−34.3973	−	24.9911i	−1.29640	−	0.941888i
$705$	13.2712	−	37.9181i	0.499824	−	1.42808i
$706$	25.2243	−	18.3266i	0.949330	−	0.689729i
$707$	8.61324			0.323934
$708$	3.75425	−	2.72763i	0.141094	−	0.102510i
$709$	0.328661	+	1.01151i	0.0123431	+	0.0379882i	0.957038	−	0.289961i	$-0.0936424\pi$
$709$	0.328661	+	1.01151i	0.0123431	+	0.0379882i	−0.944695	+	0.327949i	$0.893642\pi$
$710$	−20.8065	−	0.468496i	−0.780856	−	0.0175824i
$711$	7.04083	−	21.6695i	0.264052	−	0.812668i
$712$	−1.63864	−	5.04321i	−0.0614105	−	0.189002i
$713$	0.157885	+	0.485921i	0.00591285	+	0.0181979i
$714$	4.36356	−	13.4297i	0.163302	−	0.502593i
$715$	−34.3959	−	26.1931i	−1.28633	−	0.979565i
$716$	−1.54309	−	4.74914i	−0.0576679	−	0.177484i
$717$	−55.2748	+	40.1595i	−2.06427	+	1.49978i
$718$	−21.7904			−0.813209
$719$	−22.5531	+	16.3858i	−0.841089	+	0.611087i	−0.922675	−	0.385580i	$-0.874001\pi$
$719$	−22.5531	+	16.3858i	−0.841089	+	0.611087i	0.0815860	+	0.996666i	$0.474001\pi$
$720$	−64.7125	−	1.45712i	−2.41169	−	0.0543035i
$721$	−2.52924	−	1.83760i	−0.0941937	−	0.0684358i
$722$	−20.0083	−	14.5369i	−0.744631	−	0.541006i
$723$	−14.4845	+	44.5786i	−0.538683	+	1.65790i
$724$	−2.96633			−0.110243
$725$	5.18121	−	13.7992i	0.192425	−	0.512488i
$726$	118.901			4.41284
$727$	−7.56907	+	23.2952i	−0.280721	+	0.863971i	0.706928	+	0.707286i	$0.250081\pi$
$727$	−7.56907	+	23.2952i	−0.280721	+	0.863971i	−0.987649	+	0.156685i	$0.949919\pi$
$728$	6.86794	+	4.98985i	0.254543	+	0.184936i
$729$	4.30312	+	3.12640i	0.159375	+	0.115793i
$730$	−2.42341	−	8.07246i	−0.0896942	−	0.298775i
$731$	−7.51585	+	5.46058i	−0.277984	+	0.201967i
$732$	9.01877			0.333343
$733$	−0.730214	+	0.530531i	−0.0269711	+	0.0195956i	−0.601189	−	0.799107i	$-0.705306\pi$
$733$	−0.730214	+	0.530531i	−0.0269711	+	0.0195956i	0.574218	+	0.818702i	$0.305306\pi$
$734$	10.1527	+	31.2468i	0.374743	+	1.15334i
$735$	−1.99435	−	6.64327i	−0.0735628	−	0.245041i
$736$	0.163194	−	0.502260i	0.00601541	−	0.0185135i
$737$	−18.3900	−	56.5986i	−0.677405	−	2.08484i
$738$	24.1148	+	74.2178i	0.887679	+	2.73199i
$739$	11.2221	−	34.5379i	0.412810	−	1.27050i	−0.501385	−	0.865224i	$-0.667176\pi$
$739$	11.2221	−	34.5379i	0.412810	−	1.27050i	0.914195	−	0.405274i	$-0.132824\pi$
$740$	1.56269	−	1.08247i	0.0574456	−	0.0397922i
$741$	4.68632	+	14.4230i	0.172156	+	0.529842i
$742$	−4.83971	+	3.51626i	−0.177671	+	0.129086i
$743$	−41.5345			−1.52375			−0.761876	−	0.647723i	$-0.775722\pi$
$743$	−41.5345			−1.52375			−0.761876	+	0.647723i	$0.775722\pi$
$744$	7.54811	−	5.48402i	0.276727	−	0.201054i
$745$	8.89833	+	6.77623i	0.326010	+	0.248262i
$746$	36.9006	+	26.8098i	1.35103	+	0.981578i
$747$	−95.9931	−	69.7431i	−3.51220	−	2.55176i
$748$	−1.18984	+	3.66194i	−0.0435047	+	0.133894i
$749$	12.7809			0.467005
$750$	12.5783	+	49.9645i	0.459295	+	1.82444i
$751$	−20.1947			−0.736916			−0.368458	−	0.929644i	$-0.620114\pi$
$751$	−20.1947			−0.736916			−0.368458	+	0.929644i	$0.620114\pi$
$752$	7.82385	−	24.0793i	0.285306	−	0.878083i
$753$	52.6507	+	38.2530i	1.91870	+	1.39402i
$754$	11.2928	+	8.20472i	0.411260	+	0.298798i
$755$	−17.3910	−	13.2436i	−0.632924	−	0.481983i
$756$	−1.88286	+	1.36797i	−0.0684788	+	0.0497528i
$757$	35.1781			1.27857			0.639286	−	0.768969i	$-0.279230\pi$
$757$	35.1781			1.27857			0.639286	+	0.768969i	$0.279230\pi$
$758$	43.2337	−	31.4111i	1.57032	−	1.14090i
$759$	−2.63100	−	8.09740i	−0.0954994	−	0.293917i
$760$	7.51014	−	5.20223i	0.272421	−	0.188705i
$761$	4.54431	−	13.9859i	0.164731	−	0.506990i	−0.834285	−	0.551333i	$-0.814119\pi$
$761$	4.54431	−	13.9859i	0.164731	−	0.506990i	0.999016	+	0.0443428i	$0.0141194\pi$
$762$	15.9156	+	48.9833i	0.576562	+	1.77448i
$763$	4.34008	+	13.3574i	0.157122	+	0.483570i
$764$	1.03694	−	3.19138i	0.0375153	−	0.115460i
$765$	−13.0458	−	43.4562i	−0.471673	−	1.57116i
$766$	0.664978	+	2.04659i	0.0240266	+	0.0739464i
$767$	−18.6222	+	13.5298i	−0.672409	+	0.488534i
$768$	−15.2613			−0.550693
$769$	19.9219	−	14.4741i	0.718403	−	0.521950i	−0.167471	−	0.985877i	$-0.553560\pi$
$769$	19.9219	−	14.4741i	0.718403	−	0.521950i	0.885873	+	0.463927i	$0.153560\pi$
$770$	5.79445	+	19.3015i	0.208817	+	0.695579i
$771$	−49.1038	−	35.6760i	−1.76843	−	1.28484i
$772$	1.83950	+	1.33647i	0.0662050	+	0.0481007i
$773$	1.27630	−	3.92805i	0.0459054	−	0.141282i	−0.925477	−	0.378805i	$-0.876335\pi$
$773$	1.27630	−	3.92805i	0.0459054	−	0.141282i	0.971382	+	0.237522i	$0.0763353\pi$
$774$	29.8278			1.07214
$775$	−4.41385	−	3.52098i	−0.158550	−	0.126477i
$776$	−15.7208			−0.564344
$777$	−3.93409	+	12.1079i	−0.141135	+	0.434368i
$778$	−0.0577628	−	0.0419671i	−0.00207090	−	0.00150459i
$779$	−9.84365	−	7.15183i	−0.352685	−	0.256241i
$780$	−4.57808	−	0.103084i	−0.163921	−	0.00369098i
$781$	−30.7466	+	22.3387i	−1.10020	+	0.799343i
$782$	2.05968			0.0736539
$783$	26.7962	−	19.4686i	0.957618	−	0.695750i
$784$	−1.35083	−	4.15742i	−0.0482439	−	0.148479i
$785$	−0.152391	−	0.116049i	−0.00543908	−	0.00414195i
$786$	−13.5869	+	41.8161i	−0.484628	+	1.49153i
$787$	2.66392	+	8.19872i	0.0949586	+	0.292253i	0.987243	−	0.159221i	$-0.0508984\pi$
$787$	2.66392	+	8.19872i	0.0949586	+	0.292253i	−0.892284	+	0.451474i	$0.850898\pi$
$788$	1.07118	+	3.29674i	0.0381591	+	0.117442i
$789$	−10.9268	+	33.6294i	−0.389006	+	1.19724i
$790$	−11.4271	−	0.257302i	−0.406559	−	0.00915439i
$791$	−0.565296	−	1.73980i	−0.0200996	−	0.0618603i
$792$	−86.5653	+	62.8933i	−3.07596	+	2.23482i
$793$	−44.7357			−1.58861
$794$	6.66607	−	4.84319i	0.236570	−	0.171878i
$795$	−9.22652	+	26.3617i	−0.327231	+	0.934953i
$796$	−0.648958	−	0.471496i	−0.0230017	−	0.0167117i
$797$	−33.3694	−	24.2443i	−1.18201	−	0.858777i	−0.189609	−	0.981860i	$-0.560722\pi$
$797$	−33.3694	−	24.2443i	−1.18201	−	0.858777i	−0.992396	+	0.123082i	$0.960722\pi$
$798$	2.18443	−	6.72300i	0.0773281	−	0.237991i
$799$	17.7472			0.627850
$800$	1.55178	+	5.62594i	0.0548636	+	0.198907i
$801$	−13.1836			−0.465820
$802$	1.44482	−	4.44670i	0.0510184	−	0.157018i
$803$	−12.4518	−	9.04674i	−0.439414	−	0.319253i
$804$	−5.09950	−	3.70501i	−0.179846	−	0.130665i
$805$	0.831677	−	0.576097i	0.0293127	−	0.0203048i
$806$	4.32579	−	3.14287i	0.152369	−	0.110703i
$807$	94.3049			3.31969
$808$	18.5603	−	13.4849i	0.652949	−	0.474395i
$809$	1.49942	+	4.61474i	0.0527168	+	0.162246i	0.973949	−	0.226768i	$-0.0728159\pi$
$809$	1.49942	+	4.61474i	0.0527168	+	0.162246i	−0.921232	+	0.389014i	$0.872816\pi$
$810$	−16.4457	+	46.9880i	−0.577842	+	1.65099i
$811$	5.88322	−	18.1067i	0.206588	−	0.635811i	−0.793057	−	0.609148i	$-0.791512\pi$
$811$	5.88322	−	18.1067i	0.206588	−	0.635811i	0.999644	−	0.0266637i	$-0.00848833\pi$
$812$	−0.188699	−	0.580756i	−0.00662204	−	0.0203806i
$813$	15.6665	+	48.2167i	0.549450	+	1.69103i
$814$	11.4302	−	35.1786i	0.400629	−	1.23301i
$815$	2.86410	−	8.18322i	0.100325	−	0.286646i
$816$	−12.8394	−	39.5156i	−0.449469	−	1.38332i
$817$	−3.76249	+	2.73361i	−0.131633	+	0.0956369i
$818$	−14.2944			−0.499791
$819$	17.0750	−	12.4057i	0.596648	−	0.433490i
$820$	3.02021	−	2.09208i	0.105470	−	0.0730586i
$821$	0.896336	+	0.651226i	0.0312823	+	0.0227279i	0.603317	−	0.797502i	$-0.293846\pi$
$821$	0.896336	+	0.651226i	0.0312823	+	0.0227279i	−0.572034	+	0.820230i	$0.693846\pi$
$822$	−40.9960	−	29.7853i	−1.42990	−	1.03888i
$823$	3.17730	−	9.77872i	0.110754	−	0.340865i	−0.880284	−	0.474447i	$-0.842648\pi$
$823$	3.17730	−	9.77872i	0.110754	−	0.340865i	0.991038	+	0.133582i	$0.0426480\pi$
$824$	−8.32709			−0.290088
$825$	73.5524	+	58.6737i	2.56077	+	2.04276i
$826$	10.7295			0.373328
$827$	−13.9339	+	42.8841i	−0.484528	+	1.49122i	0.348135	+	0.937445i	$0.386815\pi$
$827$	−13.9339	+	42.8841i	−0.484528	+	1.49122i	−0.832663	+	0.553780i	$0.813185\pi$
$828$	−0.502103	−	0.364799i	−0.0174493	−	0.0126777i
$829$	1.48372	+	1.07799i	0.0515319	+	0.0374401i	0.613253	−	0.789887i	$-0.289861\pi$
$829$	1.48372	+	1.07799i	0.0515319	+	0.0374401i	−0.561721	+	0.827327i	$0.689861\pi$
$830$	−19.6634	+	56.1817i	−0.682527	+	1.95009i
$831$	−8.28939	+	6.02260i	−0.287556	+	0.208922i
$832$	22.3380			0.774432
$833$	2.47895	−	1.80106i	0.0858904	−	0.0624030i
$834$	−14.2556	−	43.8743i	−0.493632	−	1.51924i
$835$	28.3124	+	0.637503i	0.979790	+	0.0220617i
$836$	−0.595641	+	1.83320i	−0.0206007	+	0.0634024i
$837$	−3.92067	−	12.0666i	−0.135518	−	0.417082i
$838$	7.77746	+	23.9366i	0.268668	+	0.826875i
$839$	2.21596	−	6.82004i	0.0765036	−	0.235454i	−0.905490	−	0.424367i	$-0.860497\pi$
$839$	2.21596	−	6.82004i	0.0765036	−	0.235454i	0.981994	+	0.188913i	$0.0604966\pi$
$840$	−14.6982	−	11.1930i	−0.507137	−	0.386194i
$841$	−6.27599	−	19.3155i	−0.216413	−	0.666052i
$842$	1.61551	−	1.17373i	0.0556741	−	0.0404496i
$843$	56.5901			1.94907
$844$	−1.95108	+	1.41754i	−0.0671589	+	0.0487938i
$845$	−6.35290	−	0.143047i	−0.218547	−	0.00492096i
$846$	−46.0986	−	33.4926i	−1.58490	−	1.15150i
$847$	20.8735	+	15.1655i	0.717220	+	0.521091i
$848$	−5.43935	+	16.7406i	−0.186788	+	0.574875i
$849$	−21.3552			−0.732908
$850$	−18.9977	+	12.5363i	−0.651615	+	0.429991i
$851$	−1.85696			−0.0636557
$852$	−1.24392	+	3.82840i	−0.0426160	+	0.131159i
$853$	−21.9649	−	15.9584i	−0.752063	−	0.546406i	0.144403	−	0.989519i	$-0.453874\pi$
$853$	−21.9649	−	15.9584i	−0.752063	−	0.546406i	−0.896466	+	0.443113i	$0.853874\pi$
$854$	16.8702	+	12.2569i	0.577285	+	0.419422i
$855$	−6.53084	−	21.7545i	−0.223350	−	0.743988i
$856$	27.5411	−	20.0098i	0.941335	−	0.683920i
$857$	−27.1198			−0.926394			−0.463197	−	0.886255i	$-0.653298\pi$
$857$	−27.1198			−0.926394			−0.463197	+	0.886255i	$0.653298\pi$
$858$	−72.0850	+	52.3728i	−2.46094	+	1.78798i
$859$	13.7841	+	42.4230i	0.470306	+	1.44745i	0.852185	+	0.523240i	$0.175277\pi$
$859$	13.7841	+	42.4230i	0.470306	+	1.44745i	−0.381879	+	0.924212i	$0.624723\pi$
$860$	−0.403779	−	1.34500i	−0.0137688	−	0.0458643i
$861$	−7.60341	+	23.4009i	−0.259124	+	0.797501i
$862$	15.5769	+	47.9408i	0.530551	+	1.63287i
$863$	−12.7795	−	39.3313i	−0.435020	−	1.33885i	−0.893066	−	0.449926i	$-0.851450\pi$
$863$	−12.7795	−	39.3313i	−0.435020	−	1.33885i	0.458046	−	0.888929i	$-0.348550\pi$
$864$	−4.05251	+	12.4723i	−0.137869	+	0.424317i
$865$	16.5937	−	11.4943i	0.564201	−	0.390819i
$866$	−7.45367	−	22.9400i	−0.253286	−	0.779534i
$867$	−19.1001	+	13.8770i	−0.648672	+	0.471288i
$868$	−0.233911			−0.00793945
$869$	−16.8863	+	12.2686i	−0.572828	+	0.416184i
$870$	−24.1680	−	18.4043i	−0.819372	−	0.623966i
$871$	25.2950	+	18.3779i	0.857090	+	0.622712i
$872$	30.2646	+	21.9885i	1.02489	+	0.744624i
$873$	−12.0779	+	37.1719i	−0.408774	+	1.25808i
$874$	1.03109			0.0348771
$875$	−4.16464	+	10.3757i	−0.140791	+	0.350764i
$876$	−1.63021			−0.0550798
$877$	−11.6042	+	35.7142i	−0.391847	+	1.20598i	0.539542	+	0.841959i	$0.318597\pi$
$877$	−11.6042	+	35.7142i	−0.391847	+	1.20598i	−0.931390	+	0.364024i	$0.881403\pi$
$878$	−4.86533	−	3.53487i	−0.164197	−	0.119296i
$879$	30.9879	+	22.5140i	1.04520	+	0.759379i
$880$	47.1755	+	35.9250i	1.59029	+	1.21103i
$881$	−42.9348	+	31.1940i	−1.44651	+	1.05095i	−0.459880	+	0.887981i	$0.652108\pi$
$881$	−42.9348	+	31.1940i	−1.44651	+	1.05095i	−0.986631	+	0.162971i	$0.947892\pi$
$882$	−9.83807			−0.331265
$883$	18.2696	−	13.2737i	0.614821	−	0.446694i	−0.236287	−	0.971683i	$-0.575931\pi$
$883$	18.2696	−	13.2737i	0.614821	−	0.446694i	0.851109	+	0.524989i	$0.175931\pi$
$884$	−0.625123	−	1.92393i	−0.0210252	−	0.0647088i
$885$	41.1794	−	28.5247i	1.38423	−	0.958848i
$886$	8.32400	−	25.6186i	0.279650	−	0.860675i
$887$	10.2981	+	31.6943i	0.345777	+	1.06419i	0.961167	+	0.275969i	$0.0889986\pi$
$887$	10.2981	+	31.6943i	0.345777	+	1.06419i	−0.615390	+	0.788223i	$0.711001\pi$
$888$	10.4787	+	32.2500i	0.351641	+	1.08224i
$889$	−3.45362	+	10.6291i	−0.115831	+	0.356490i
$890$	1.90161	+	6.33434i	0.0637421	+	0.212328i
$891$	28.0926	+	86.4601i	0.941137	+	2.89652i
$892$	3.50559	−	2.54696i	0.117376	−	0.0852786i
$893$	8.88438			0.297304
$894$	18.6486	−	13.5490i	0.623703	−	0.453147i
$895$	−15.4992	−	51.6285i	−0.518082	−	1.72575i
$896$	−10.3124	−	7.49241i	−0.344514	−	0.250304i
$897$	3.61888	+	2.62927i	0.120831	+	0.0877889i
$898$	13.4319	−	41.3391i	0.448227	−	1.37950i
$899$	3.32894			0.111027
$900$	6.85157	+	0.308707i	0.228386	+	0.0102902i
$901$	−12.3383			−0.411049
$902$	22.0912	−	67.9896i	0.735556	−	2.26381i
$903$	7.60857	+	5.52795i	0.253197	+	0.183959i
$904$	−3.94196	−	2.86400i	−0.131108	−	0.0952554i
$905$	−32.0132	−	0.720833i	−1.06415	−	0.0239613i
$906$	−36.4471	+	26.4804i	−1.21088	+	0.879752i
$907$	−44.1113			−1.46469			−0.732347	−	0.680932i	$-0.761575\pi$
$907$	−44.1113			−1.46469			−0.732347	+	0.680932i	$0.761575\pi$
$908$	0.164084	−	0.119214i	0.00544531	−	0.00395625i
$909$	−17.6256	−	54.2460i	−0.584604	−	1.79923i
$910$	−8.42349	−	6.41463i	−0.279236	−	0.212643i
$911$	17.4185	−	53.6085i	0.577100	−	1.77613i	−0.0518160	−	0.998657i	$-0.516501\pi$
$911$	17.4185	−	53.6085i	0.577100	−	1.77613i	0.628916	−	0.777474i	$-0.283499\pi$
$912$	−6.42750	−	19.7818i	−0.212836	−	0.655041i
$913$	33.5892	+	103.377i	1.11164	+	3.42128i
$914$	9.14586	−	28.1481i	0.302518	−	0.931055i
$915$	97.3321	+	2.19161i	3.21770	+	0.0724522i
$916$	0.413585	+	1.27288i	0.0136652	+	0.0420572i
$917$	−7.71872	+	5.60798i	−0.254895	+	0.185192i
$918$	−51.1467			−1.68809
$919$	9.15281	−	6.64991i	0.301923	−	0.219360i	−0.426500	−	0.904488i	$-0.640253\pi$
$919$	9.15281	−	6.64991i	0.301923	−	0.219360i	0.728423	+	0.685127i	$0.240253\pi$
$920$	0.890210	−	2.54348i	0.0293494	−	0.0838560i
$921$	4.97073	+	3.61144i	0.163791	+	0.119001i
$922$	−38.7738	−	28.1708i	−1.27695	−	0.927757i
$923$	6.17021	−	18.9900i	0.203095	−	0.625062i
$924$	3.89790			0.128231
$925$	17.1279	−	11.3024i	0.563161	−	0.371621i
$926$	−45.3967			−1.49183
$927$	−6.39749	+	19.6894i	−0.210121	+	0.646686i
$928$	−2.78373	−	2.02250i	−0.0913804	−	0.0663918i
$929$	28.9782	+	21.0539i	0.950745	+	0.690757i	0.950983	−	0.309243i	$-0.100076\pi$
$929$	28.9782	+	21.0539i	0.950745	+	0.690757i	−0.000237801		1.00000i	$0.500076\pi$
$930$	−9.56564	+	6.62606i	−0.313670	+	0.217277i
$931$	1.24098	−	0.901624i	0.0406714	−	0.0295495i
$932$	−3.41917			−0.111999
$933$	43.0741	−	31.2952i	1.41018	−	1.02456i
$934$	−5.18990	−	15.9729i	−0.169819	−	0.522649i
$935$	−13.7308	+	39.2312i	−0.449045	+	1.28300i
$936$	17.3719	−	53.4651i	0.567817	−	1.74756i
$937$	−15.7057	−	48.3373i	−0.513084	−	1.57911i	−0.786741	−	0.617283i	$-0.788233\pi$
$937$	−15.7057	−	48.3373i	−0.513084	−	1.57911i	0.273657	−	0.961827i	$-0.411767\pi$
$938$	−4.50368	−	13.8609i	−0.147050	−	0.452574i
$939$	9.25924	−	28.4970i	0.302164	−	0.929965i
$940$	−0.886222	+	2.53208i	−0.0289054	+	0.0825875i
$941$	3.88216	+	11.9481i	0.126555	+	0.389496i	0.994181	−	0.107721i	$-0.0343554\pi$
$941$	3.88216	+	11.9481i	0.126555	+	0.389496i	−0.867626	+	0.497217i	$0.834355\pi$
$942$	−0.319373	+	0.232038i	−0.0104057	+	0.00756021i
$943$	−3.58894			−0.116872
$944$	25.5412	−	18.5568i	0.831295	−	0.603971i
$945$	−20.6525	+	14.3059i	−0.671827	+	0.465371i
$946$	−22.1062	−	16.0611i	−0.718733	−	0.522190i
$947$	−20.6373	−	14.9939i	−0.670623	−	0.487236i	0.199611	−	0.979875i	$-0.436032\pi$
$947$	−20.6373	−	14.9939i	−0.670623	−	0.487236i	−0.870234	+	0.492639i	$0.836032\pi$
$948$	−0.683171	+	2.10259i	−0.0221884	+	0.0682888i
$949$	8.08633			0.262493
$950$	−9.51039	+	6.27576i	−0.308558	+	0.203612i
$951$	−14.3894			−0.466610
$952$	2.52205	−	7.76206i	0.0817400	−	0.251570i
$953$	−10.1312	−	7.36077i	−0.328183	−	0.238439i	0.411476	−	0.911420i	$-0.365013\pi$
$953$	−10.1312	−	7.36077i	−0.328183	−	0.238439i	−0.739659	+	0.672982i	$0.765013\pi$
$954$	32.0490	+	23.2850i	1.03762	+	0.753878i
$955$	11.9664	−	34.1900i	0.387224	−	1.10636i
$956$	3.69112	−	2.68176i	0.119379	−	0.0867342i
$957$	−55.4736			−1.79321
$958$	−16.8330	+	12.2299i	−0.543850	+	0.395130i
$959$	−3.39795	−	10.4578i	−0.109725	−	0.337700i
$960$	−48.6012	−	1.09434i	−1.56860	−	0.0353197i
$961$	−9.18548	+	28.2700i	−0.296306	+	0.911935i
$962$	6.00527	+	18.4823i	0.193618	+	0.595894i
$963$	−26.1541	−	80.4940i	−0.842803	−	2.59388i
$964$	0.967239	−	2.97686i	0.0311527	−	0.0958781i
$965$	19.5274	+	14.8705i	0.628610	+	0.478697i
$966$	−0.644328	−	1.98304i	−0.0207309	−	0.0638031i
$967$	45.4875	−	33.0486i	1.46278	−	1.06277i	0.480151	−	0.877186i	$-0.340582\pi$
$967$	45.4875	−	33.0486i	1.46278	−	1.06277i	0.982628	−	0.185586i	$-0.0594182\pi$
$968$	68.7223			2.20882
$969$	11.7953	−	8.56978i	0.378919	−	0.275301i
$970$	19.6021	+	0.441377i	0.629387	+	0.0141718i
$971$	−8.84079	−	6.42321i	−0.283714	−	0.206131i	0.436822	−	0.899548i	$-0.356104\pi$
$971$	−8.84079	−	6.42321i	−0.283714	−	0.206131i	−0.720536	+	0.693418i	$0.756104\pi$
$972$	2.14144	+	1.55584i	0.0686866	+	0.0499037i
$973$	3.09341	−	9.52052i	0.0991700	−	0.305214i
$974$	3.58090			0.114739
$975$	−49.3824	−	2.22499i	−1.58150	−	0.0712568i
$976$	61.3571			1.96399
$977$	−10.9947	+	33.8381i	−0.351750	+	1.08258i	0.606120	+	0.795373i	$0.292725\pi$
$977$	−10.9947	+	33.8381i	−0.351750	+	1.08258i	−0.957870	+	0.287202i	$0.907275\pi$
$978$	−14.4557	−	10.5027i	−0.462243	−	0.335839i
$979$	9.77073	+	7.09885i	0.312274	+	0.226880i
$980$	0.133178	+	0.443622i	0.00425422	+	0.0141710i
$981$	75.2434	−	54.6675i	2.40234	−	1.74540i
$982$	−56.2981			−1.79654
$983$	−4.87023	+	3.53843i	−0.155336	+	0.112858i	−0.662738	−	0.748851i	$-0.730606\pi$
$983$	−4.87023	+	3.53843i	−0.155336	+	0.112858i	0.507402	+	0.861709i	$0.330606\pi$
$984$	20.2521	+	62.3295i	0.645613	+	1.98699i
$985$	10.7592	+	35.8393i	0.342817	+	1.14194i
$986$	4.14695	−	12.7630i	0.132066	−	0.406457i
$987$	−5.55184	−	17.0868i	−0.176717	−	0.543879i
$988$	−0.312941	−	0.963134i	−0.00995599	−	0.0306414i
$989$	−0.423904	+	1.30464i	−0.0134794	+	0.0414853i
$990$	109.703	−	75.9908i	3.48660	−	2.41515i
$991$	10.3209	+	31.7645i	0.327854	+	1.00903i	0.970136	+	0.242563i	$0.0779881\pi$
$991$	10.3209	+	31.7645i	0.327854	+	1.00903i	−0.642281	+	0.766469i	$0.722012\pi$
$992$	−1.06633	+	0.774731i	−0.0338559	+	0.0245977i
$993$	−13.9391			−0.442344
$994$	−7.52979	+	5.47071i	−0.238830	+	0.173520i
$995$	−6.88910	−	5.24617i	−0.218399	−	0.166315i
$996$	9.31420	+	6.76716i	0.295132	+	0.214426i
$997$	−24.7655	−	17.9932i	−0.784332	−	0.569850i	0.121944	−	0.992537i	$-0.461087\pi$
$997$	−24.7655	−	17.9932i	−0.784332	−	0.569850i	−0.906276	+	0.422687i	$0.861087\pi$
$998$	−1.74456	+	5.36921i	−0.0552231	+	0.169959i
$999$	46.1127			1.45894

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	175.2.h.b.71.2	✓	28
5.2	odd	4		875.2.n.b.274.5		56
5.3	odd	4		875.2.n.b.274.10		56
5.4	even	2		875.2.h.b.351.6		28
25.6	even	5	inner	175.2.h.b.106.2	yes	28
25.8	odd	20		875.2.n.b.99.5		56
25.9	even	10		4375.2.a.h.1.11		14
25.16	even	5		4375.2.a.g.1.4		14
25.17	odd	20		875.2.n.b.99.10		56
25.19	even	10		875.2.h.b.526.6		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
175.2.h.b.71.2	✓	28	1.1	even	1	trivial
175.2.h.b.106.2	yes	28	25.6	even	5	inner
875.2.h.b.351.6		28	5.4	even	2
875.2.h.b.526.6		28	25.19	even	10
875.2.n.b.99.5		56	25.8	odd	20
875.2.n.b.99.10		56	25.17	odd	20
875.2.n.b.274.5		56	5.2	odd	4
875.2.n.b.274.10		56	5.3	odd	4
4375.2.a.g.1.4		14	25.16	even	5
4375.2.a.h.1.11		14	25.9	even	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:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	175.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.459090 + 1.41293i) q^{2} +(2.50953 + 1.82328i) q^{3} +(-0.167580 - 0.121754i) q^{4} +(-1.77897 - 1.35472i) q^{5} +(-3.72827 + 2.70875i) q^{6} -1.00000 q^{7} +(-2.15486 + 1.56560i) q^{8} +(2.04634 + 6.29798i) q^{9} +O(q^{10})\)	\(q+(-0.459090 + 1.41293i) q^{2} +(2.50953 + 1.82328i) q^{3} +(-0.167580 - 0.121754i) q^{4} +(-1.77897 - 1.35472i) q^{5} +(-3.72827 + 2.70875i) q^{6} -1.00000 q^{7} +(-2.15486 + 1.56560i) q^{8} +(2.04634 + 6.29798i) q^{9} +(2.73083 - 1.89163i) q^{10} +(1.87462 - 5.76947i) q^{11} +(-0.198556 - 0.611092i) q^{12} +(0.984896 + 3.03120i) q^{13} +(0.459090 - 1.41293i) q^{14} +(-1.99435 - 6.64327i) q^{15} +(-1.35083 - 4.15742i) q^{16} +(2.47895 - 1.80106i) q^{17} -9.83807 q^{18} +(1.24098 - 0.901624i) q^{19} +(0.133178 + 0.443622i) q^{20} +(-2.50953 - 1.82328i) q^{21} +(7.29126 + 5.29741i) q^{22} +(0.139816 - 0.430310i) q^{23} -8.26220 q^{24} +(1.32948 + 4.82001i) q^{25} -4.73503 q^{26} +(-3.47197 + 10.6856i) q^{27} +(0.167580 + 0.121754i) q^{28} +(-2.38495 - 1.73277i) q^{29} +(10.3021 + 0.231969i) q^{30} +(-0.913571 + 0.663748i) q^{31} +1.16721 q^{32} +(15.2238 - 11.0607i) q^{33} +(1.40672 + 4.32943i) q^{34} +(1.77897 + 1.35472i) q^{35} +(0.423880 - 1.30457i) q^{36} +(-1.26826 - 3.90332i) q^{37} +(0.704213 + 2.16735i) q^{38} +(-3.05510 + 9.40262i) q^{39} +(5.95437 + 0.134073i) q^{40} +(-2.45117 - 7.54393i) q^{41} +(3.72827 - 2.70875i) q^{42} -3.03187 q^{43} +(-1.01661 + 0.738608i) q^{44} +(4.89161 - 13.9761i) q^{45} +(0.543810 + 0.395101i) q^{46} +(4.68574 + 3.40439i) q^{47} +(4.19020 - 12.8961i) q^{48} +1.00000 q^{49} +(-7.42070 - 0.334350i) q^{50} +9.50482 q^{51} +(0.204012 - 0.627885i) q^{52} +(-3.25765 - 2.36682i) q^{53} +(-13.5041 - 9.81132i) q^{54} +(-11.1509 + 7.72415i) q^{55} +(2.15486 - 1.56560i) q^{56} +4.75819 q^{57} +(3.54319 - 2.57428i) q^{58} +(2.23176 + 6.86866i) q^{59} +(-0.474632 + 1.35610i) q^{60} +(-4.33740 + 13.3491i) q^{61} +(-0.518420 - 1.59553i) q^{62} +(-2.04634 - 6.29798i) q^{63} +(2.16581 - 6.66567i) q^{64} +(2.35431 - 6.72667i) q^{65} +(8.63897 + 26.5880i) q^{66} +(7.93647 - 5.76618i) q^{67} -0.634710 q^{68} +(1.13545 - 0.824951i) q^{69} +(-2.73083 + 1.89163i) q^{70} +(-5.06836 - 3.68238i) q^{71} +(-14.2697 - 10.3675i) q^{72} +(0.784018 - 2.41296i) q^{73} +6.09737 q^{74} +(-5.45185 + 14.5200i) q^{75} -0.317741 q^{76} +(-1.87462 + 5.76947i) q^{77} +(-11.8827 - 8.63329i) q^{78} +(-2.78358 - 2.02239i) q^{79} +(-3.22905 + 9.22593i) q^{80} +(-12.1238 + 8.80843i) q^{81} +11.7844 q^{82} +(-14.4959 + 10.5319i) q^{83} +(0.198556 + 0.611092i) q^{84} +(-6.84990 - 0.154238i) q^{85} +(1.39190 - 4.28383i) q^{86} +(-2.82578 - 8.69687i) q^{87} +(4.99314 + 15.3673i) q^{88} +(-0.615208 + 1.89341i) q^{89} +(17.5017 + 13.3278i) q^{90} +(-0.984896 - 3.03120i) q^{91} +(-0.0758225 + 0.0550883i) q^{92} -3.50283 q^{93} +(-6.96134 + 5.05771i) q^{94} +(-3.42911 - 0.0772126i) q^{95} +(2.92914 + 2.12814i) q^{96} +(4.77497 + 3.46922i) q^{97} +(-0.459090 + 1.41293i) q^{98} +40.1721 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9}+O(q^{10}) \) 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9	\( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9} - 4 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 6 q^{14} - 9 q^{15} + 16 q^{16} + 14 q^{17} - 62 q^{18} + 22 q^{19} + 20 q^{20} - 4 q^{21} + 7 q^{22} + 21 q^{23} + 38 q^{24} + 8 q^{25} - 8 q^{26} - 11 q^{27} + 6 q^{28} - 37 q^{29} + 8 q^{30} - q^{31} - 48 q^{32} + 17 q^{33} - 10 q^{34} - 8 q^{35} - 41 q^{36} + 25 q^{37} + 15 q^{38} + 24 q^{39} + 39 q^{40} + 10 q^{41} + 15 q^{42} - 18 q^{43} + 65 q^{44} + 32 q^{45} + 26 q^{46} + 54 q^{47} + 69 q^{48} + 28 q^{49} - 49 q^{50} + 2 q^{51} - 54 q^{52} - 24 q^{53} - 14 q^{54} - 46 q^{55} + 2 q^{56} - 62 q^{57} + 17 q^{58} - 19 q^{59} - 6 q^{60} - 48 q^{61} - 42 q^{62} + 5 q^{63} - 20 q^{64} + 5 q^{65} + 91 q^{66} + 11 q^{67} - 114 q^{68} + 31 q^{69} + 4 q^{70} + 12 q^{71} + 20 q^{72} - 2 q^{73} + 70 q^{74} - 24 q^{75} - 6 q^{76} + 8 q^{77} + 59 q^{78} - 72 q^{79} - 8 q^{80} - 10 q^{81} - 26 q^{82} - 34 q^{83} + 8 q^{84} + 40 q^{85} - 60 q^{86} + 20 q^{87} + 32 q^{88} + 3 q^{89} - 32 q^{90} + 8 q^{91} + 10 q^{92} - 96 q^{93} + 12 q^{94} + 71 q^{95} + 22 q^{96} + 22 q^{97} + 6 q^{98} + 62 q^{99}+O(q^{100}) \) 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9 - 4 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 6 * q^14 - 9 * q^15 + 16 * q^16 + 14 * q^17 - 62 * q^18 + 22 * q^19 + 20 * q^20 - 4 * q^21 + 7 * q^22 + 21 * q^23 + 38 * q^24 + 8 * q^25 - 8 * q^26 - 11 * q^27 + 6 * q^28 - 37 * q^29 + 8 * q^30 - q^31 - 48 * q^32 + 17 * q^33 - 10 * q^34 - 8 * q^35 - 41 * q^36 + 25 * q^37 + 15 * q^38 + 24 * q^39 + 39 * q^40 + 10 * q^41 + 15 * q^42 - 18 * q^43 + 65 * q^44 + 32 * q^45 + 26 * q^46 + 54 * q^47 + 69 * q^48 + 28 * q^49 - 49 * q^50 + 2 * q^51 - 54 * q^52 - 24 * q^53 - 14 * q^54 - 46 * q^55 + 2 * q^56 - 62 * q^57 + 17 * q^58 - 19 * q^59 - 6 * q^60 - 48 * q^61 - 42 * q^62 + 5 * q^63 - 20 * q^64 + 5 * q^65 + 91 * q^66 + 11 * q^67 - 114 * q^68 + 31 * q^69 + 4 * q^70 + 12 * q^71 + 20 * q^72 - 2 * q^73 + 70 * q^74 - 24 * q^75 - 6 * q^76 + 8 * q^77 + 59 * q^78 - 72 * q^79 - 8 * q^80 - 10 * q^81 - 26 * q^82 - 34 * q^83 + 8 * q^84 + 40 * q^85 - 60 * q^86 + 20 * q^87 + 32 * q^88 + 3 * q^89 - 32 * q^90 + 8 * q^91 + 10 * q^92 - 96 * q^93 + 12 * q^94 + 71 * q^95 + 22 * q^96 + 22 * q^97 + 6 * q^98 + 62 * q^99

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