LMFDB - Embedded newform 770.2.n.k.141.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(71,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 0, 4]))

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

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

chi := DirichletCharacter("770.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.n (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:	$6.14848095564$
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} - 5 x^{15} + 18 x^{14} - 35 x^{13} + 89 x^{12} - 185 x^{11} + 837 x^{10} - 1660 x^{9} + 4196 x^{8} + \cdots + 25 $ x^16 - 5x^15 + 18x^14 - 35x^13 + 89x^12 - 185x^11 + 837x^10 - 1660x^9 + 4196x^8 - 8420x^7 + 13485x^6 - 14630x^5 + 11615x^4 - 5200x^3 + 1425x^2 - 225*x + 25
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			141.2
Root			$0.988623 + 0.718277i$ of defining polynomial
Character	$\chi$	$=$	770.141
Dual form			770.2.n.k.71.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(-0.988623 + 0.718277i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.377620 + 1.16220i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.465597 + 1.43296i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(-0.988623 + 0.718277i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.377620 + 1.16220i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.465597 + 1.43296i) q^{9} -1.00000 q^{10} +(0.912280 - 3.18869i) q^{11} +1.22201 q^{12} +(1.07481 - 3.30793i) q^{13} +(0.809017 - 0.587785i) q^{14} +(0.988623 + 0.718277i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.0426835 - 0.131366i) q^{17} +(1.21895 + 0.885617i) q^{18} +(-0.416899 + 0.302895i) q^{19} +(-0.309017 + 0.951057i) q^{20} -1.22201 q^{21} +(-2.75071 - 1.85299i) q^{22} +1.51048 q^{23} +(0.377620 - 1.16220i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(-2.81389 - 2.04441i) q^{26} +(-1.70182 - 5.23767i) q^{27} +(-0.309017 - 0.951057i) q^{28} +(-7.47582 - 5.43150i) q^{29} +(0.988623 - 0.718277i) q^{30} +(3.17133 - 9.76035i) q^{31} +1.00000 q^{32} +(1.38846 + 3.80768i) q^{33} -0.138127 q^{34} +(0.309017 - 0.951057i) q^{35} +(1.21895 - 0.885617i) q^{36} +(-1.34992 - 0.980774i) q^{37} +(0.159241 + 0.490094i) q^{38} +(1.31343 + 4.04231i) q^{39} +(0.809017 + 0.587785i) q^{40} +(9.85932 - 7.16322i) q^{41} +(-0.377620 + 1.16220i) q^{42} -10.6660 q^{43} +(-2.61232 + 2.04348i) q^{44} +1.50670 q^{45} +(0.466765 - 1.43655i) q^{46} +(1.46183 - 1.06208i) q^{47} +(-0.988623 - 0.718277i) q^{48} +(0.309017 + 0.951057i) q^{49} +(0.309017 + 0.951057i) q^{50} +(0.136555 + 0.0992131i) q^{51} +(-2.81389 + 2.04441i) q^{52} +(0.429858 - 1.32297i) q^{53} -5.50722 q^{54} +(-3.31453 + 0.117729i) q^{55} -1.00000 q^{56} +(0.194594 - 0.598898i) q^{57} +(-7.47582 + 5.43150i) q^{58} +(-7.52800 - 5.46941i) q^{59} +(-0.377620 - 1.16220i) q^{60} +(4.17847 + 12.8600i) q^{61} +(-8.30265 - 6.03223i) q^{62} +(-1.21895 + 0.885617i) q^{63} +(0.309017 - 0.951057i) q^{64} -3.47816 q^{65} +(4.05038 - 0.143866i) q^{66} -1.84979 q^{67} +(-0.0426835 + 0.131366i) q^{68} +(-1.49330 + 1.08494i) q^{69} +(-0.809017 - 0.587785i) q^{70} +(-1.97528 - 6.07928i) q^{71} +(-0.465597 - 1.43296i) q^{72} +(8.95170 + 6.50379i) q^{73} +(-1.34992 + 0.980774i) q^{74} +(0.377620 - 1.16220i) q^{75} +0.515316 q^{76} +(2.61232 - 2.04348i) q^{77} +4.25033 q^{78} +(3.08608 - 9.49797i) q^{79} +(0.809017 - 0.587785i) q^{80} +(1.78772 + 1.29885i) q^{81} +(-3.76593 - 11.5903i) q^{82} +(0.681184 + 2.09647i) q^{83} +(0.988623 + 0.718277i) q^{84} +(-0.111747 + 0.0811888i) q^{85} +(-3.29598 + 10.1440i) q^{86} +11.2921 q^{87} +(1.13621 + 3.11593i) q^{88} +1.74164 q^{89} +(0.465597 - 1.43296i) q^{90} +(2.81389 - 2.04441i) q^{91} +(-1.22201 - 0.887839i) q^{92} +(3.87538 + 11.9272i) q^{93} +(-0.558370 - 1.71848i) q^{94} +(0.416899 + 0.302895i) q^{95} +(-0.988623 + 0.718277i) q^{96} +(-1.36299 + 4.19486i) q^{97} +1.00000 q^{98} +(4.14451 + 2.79190i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 4 q^{2} - 5 q^{3} - 4 q^{4} + 4 q^{5} + 5 q^{6} + 4 q^{7} - 4 q^{8} + q^{9}+O(q^{10}) $ 16 * q - 4 * q^2 - 5 * q^3 - 4 * q^4 + 4 * q^5 + 5 * q^6 + 4 * q^7 - 4 * q^8 + q^9	\( 16 q - 4 q^{2} - 5 q^{3} - 4 q^{4} + 4 q^{5} + 5 q^{6} + 4 q^{7} - 4 q^{8} + q^{9} - 16 q^{10} - 2 q^{11} + 8 q^{13} + 4 q^{14} + 5 q^{15} - 4 q^{16} - 13 q^{17} - 9 q^{18} + 15 q^{19} + 4 q^{20} - 2 q^{22} + 20 q^{23} + 5 q^{24} - 4 q^{25} - 7 q^{26} + 10 q^{27} + 4 q^{28} - 14 q^{29} + 5 q^{30} - 6 q^{31} + 16 q^{32} - 25 q^{33} + 12 q^{34} - 4 q^{35} - 9 q^{36} + 28 q^{37} - 20 q^{38} + 15 q^{39} + 4 q^{40} + 2 q^{41} - 5 q^{42} - 10 q^{43} + 3 q^{44} - 16 q^{45} - 10 q^{46} - 10 q^{47} - 5 q^{48} - 4 q^{49} - 4 q^{50} - 42 q^{51} - 7 q^{52} - 2 q^{53} - 3 q^{55} - 16 q^{56} + 21 q^{57} - 14 q^{58} + 7 q^{59} - 5 q^{60} + 4 q^{61} + 14 q^{62} + 9 q^{63} - 4 q^{64} + 2 q^{65} - 10 q^{66} + 66 q^{67} - 13 q^{68} - 64 q^{69} - 4 q^{70} + 2 q^{71} + q^{72} + 12 q^{73} + 28 q^{74} + 5 q^{75} + 10 q^{76} - 3 q^{77} + 70 q^{78} + 2 q^{79} + 4 q^{80} - 30 q^{81} - 13 q^{82} - 5 q^{83} + 5 q^{84} - 7 q^{85} + 5 q^{86} - 24 q^{87} - 2 q^{88} + 2 q^{89} - q^{90} + 7 q^{91} - 38 q^{93} + 25 q^{94} - 15 q^{95} - 5 q^{96} + 22 q^{97} + 16 q^{98} - 18 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 - 5 * q^3 - 4 * q^4 + 4 * q^5 + 5 * q^6 + 4 * q^7 - 4 * q^8 + q^9 - 16 * q^10 - 2 * q^11 + 8 * q^13 + 4 * q^14 + 5 * q^15 - 4 * q^16 - 13 * q^17 - 9 * q^18 + 15 * q^19 + 4 * q^20 - 2 * q^22 + 20 * q^23 + 5 * q^24 - 4 * q^25 - 7 * q^26 + 10 * q^27 + 4 * q^28 - 14 * q^29 + 5 * q^30 - 6 * q^31 + 16 * q^32 - 25 * q^33 + 12 * q^34 - 4 * q^35 - 9 * q^36 + 28 * q^37 - 20 * q^38 + 15 * q^39 + 4 * q^40 + 2 * q^41 - 5 * q^42 - 10 * q^43 + 3 * q^44 - 16 * q^45 - 10 * q^46 - 10 * q^47 - 5 * q^48 - 4 * q^49 - 4 * q^50 - 42 * q^51 - 7 * q^52 - 2 * q^53 - 3 * q^55 - 16 * q^56 + 21 * q^57 - 14 * q^58 + 7 * q^59 - 5 * q^60 + 4 * q^61 + 14 * q^62 + 9 * q^63 - 4 * q^64 + 2 * q^65 - 10 * q^66 + 66 * q^67 - 13 * q^68 - 64 * q^69 - 4 * q^70 + 2 * q^71 + q^72 + 12 * q^73 + 28 * q^74 + 5 * q^75 + 10 * q^76 - 3 * q^77 + 70 * q^78 + 2 * q^79 + 4 * q^80 - 30 * q^81 - 13 * q^82 - 5 * q^83 + 5 * q^84 - 7 * q^85 + 5 * q^86 - 24 * q^87 - 2 * q^88 + 2 * q^89 - q^90 + 7 * q^91 - 38 * q^93 + 25 * q^94 - 15 * q^95 - 5 * q^96 + 22 * q^97 + 16 * q^98 - 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{3}{5}\right)$	$1$	$1$

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 $

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$3$	−0.988623	+	0.718277i	−0.570782	+	0.414697i	−0.835389	−	0.549659i	$-0.814758\pi$
$3$	−0.988623	+	0.718277i	−0.570782	+	0.414697i	0.264607	+	0.964356i	$0.414758\pi$
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−0.309017	−	0.951057i	−0.138197	−	0.425325i
$5$	−0.309017	−	0.951057i	−0.138197	−	0.425325i
$6$	0.377620	+	1.16220i	0.154163	+	0.474465i
$7$	0.809017	+	0.587785i	0.305780	+	0.222162i
$7$	0.809017	+	0.587785i	0.305780	+	0.222162i
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	−0.465597	+	1.43296i	−0.155199	+	0.477653i
$10$	−1.00000			−0.316228
$11$	0.912280	−	3.18869i	0.275063	−	0.961426i
$11$	0.912280	−	3.18869i	0.275063	−	0.961426i
$12$	1.22201			0.352763
$13$	1.07481	−	3.30793i	0.298099	−	0.917454i	−0.684064	−	0.729422i	$-0.739789\pi$
$13$	1.07481	−	3.30793i	0.298099	−	0.917454i	0.982163	−	0.188032i	$-0.0602109\pi$
$14$	0.809017	−	0.587785i	0.216219	−	0.157092i
$15$	0.988623	+	0.718277i	0.255261	+	0.185458i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−0.0426835	−	0.131366i	−0.0103523	−	0.0318610i	0.945747	−	0.324904i	$-0.105332\pi$
$17$	−0.0426835	−	0.131366i	−0.0103523	−	0.0318610i	−0.956099	+	0.293043i	$0.905332\pi$
$18$	1.21895	+	0.885617i	0.287309	+	0.208742i
$19$	−0.416899	+	0.302895i	−0.0956432	+	0.0694889i	−0.634579	−	0.772858i	$-0.718827\pi$
$19$	−0.416899	+	0.302895i	−0.0956432	+	0.0694889i	0.538936	+	0.842347i	$0.318827\pi$
$20$	−0.309017	+	0.951057i	−0.0690983	+	0.212663i
$21$	−1.22201			−0.266663
$22$	−2.75071	−	1.85299i	−0.586454	−	0.395059i
$23$	1.51048			0.314957			0.157479	−	0.987522i	$-0.449663\pi$
$23$	1.51048			0.314957			0.157479	+	0.987522i	$0.449663\pi$
$24$	0.377620	−	1.16220i	0.0770815	−	0.237232i
$25$	−0.809017	+	0.587785i	−0.161803	+	0.117557i
$26$	−2.81389	−	2.04441i	−0.551850	−	0.400942i
$27$	−1.70182	−	5.23767i	−0.327516	−	1.00799i
$28$	−0.309017	−	0.951057i	−0.0583987	−	0.179733i
$29$	−7.47582	−	5.43150i	−1.38823	−	1.00860i	−0.996057	−	0.0887108i	$-0.971725\pi$
$29$	−7.47582	−	5.43150i	−1.38823	−	1.00860i	−0.392168	−	0.919894i	$-0.628275\pi$
$30$	0.988623	−	0.718277i	0.180497	−	0.131139i
$31$	3.17133	−	9.76035i	0.569588	−	1.75301i	−0.0843223	−	0.996439i	$-0.526873\pi$
$31$	3.17133	−	9.76035i	0.569588	−	1.75301i	0.653910	−	0.756572i	$-0.273127\pi$
$32$	1.00000			0.176777
$33$	1.38846	+	3.80768i	0.241700	+	0.662833i
$34$	−0.138127			−0.0236885
$35$	0.309017	−	0.951057i	0.0522334	−	0.160758i
$36$	1.21895	−	0.885617i	0.203158	−	0.147603i
$37$	−1.34992	−	0.980774i	−0.221925	−	0.161238i	0.471268	−	0.881990i	$-0.343797\pi$
$37$	−1.34992	−	0.980774i	−0.221925	−	0.161238i	−0.693193	+	0.720752i	$0.743797\pi$
$38$	0.159241	+	0.490094i	0.0258324	+	0.0795038i
$39$	1.31343	+	4.04231i	0.210316	+	0.647287i
$40$	0.809017	+	0.587785i	0.127917	+	0.0929370i
$41$	9.85932	−	7.16322i	1.53977	−	1.11871i	0.589286	−	0.807925i	$-0.299409\pi$
$41$	9.85932	−	7.16322i	1.53977	−	1.11871i	0.950481	−	0.310782i	$-0.100591\pi$
$42$	−0.377620	+	1.16220i	−0.0582681	+	0.179331i
$43$	−10.6660			−1.62655			−0.813277	−	0.581877i	$-0.802318\pi$
$43$	−10.6660			−1.62655			−0.813277	+	0.581877i	$0.802318\pi$
$44$	−2.61232	+	2.04348i	−0.393821	+	0.308066i
$45$	1.50670			0.224606
$46$	0.466765	−	1.43655i	0.0688207	−	0.211808i
$47$	1.46183	−	1.06208i	0.213230	−	0.154921i	−0.476044	−	0.879421i	$-0.657930\pi$
$47$	1.46183	−	1.06208i	0.213230	−	0.154921i	0.689274	+	0.724501i	$0.257930\pi$
$48$	−0.988623	−	0.718277i	−0.142695	−	0.103674i
$49$	0.309017	+	0.951057i	0.0441453	+	0.135865i
$50$	0.309017	+	0.951057i	0.0437016	+	0.134500i
$51$	0.136555	+	0.0992131i	0.0191215	+	0.0138926i
$52$	−2.81389	+	2.04441i	−0.390217	+	0.283509i
$53$	0.429858	−	1.32297i	0.0590455	−	0.181723i	−0.917183	−	0.398465i	$-0.869543\pi$
$53$	0.429858	−	1.32297i	0.0590455	−	0.181723i	0.976229	+	0.216742i	$0.0695430\pi$
$54$	−5.50722			−0.749437
$55$	−3.31453	+	0.117729i	−0.446932	+	0.0158746i
$56$	−1.00000			−0.133631
$57$	0.194594	−	0.598898i	0.0257746	−	0.0793260i
$58$	−7.47582	+	5.43150i	−0.981623	+	0.713191i
$59$	−7.52800	−	5.46941i	−0.980062	−	0.712057i	−0.0223394	−	0.999750i	$-0.507111\pi$
$59$	−7.52800	−	5.46941i	−0.980062	−	0.712057i	−0.957722	+	0.287694i	$0.907111\pi$
$60$	−0.377620	−	1.16220i	−0.0487506	−	0.150039i
$61$	4.17847	+	12.8600i	0.534999	+	1.64656i	0.743652	+	0.668567i	$0.233092\pi$
$61$	4.17847	+	12.8600i	0.534999	+	1.64656i	−0.208653	+	0.977990i	$0.566908\pi$
$62$	−8.30265	−	6.03223i	−1.05444	−	0.766094i
$63$	−1.21895	+	0.885617i	−0.153573	+	0.111577i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−3.47816			−0.431413
$66$	4.05038	−	0.143866i	0.498567	−	0.0177086i
$67$	−1.84979			−0.225988			−0.112994	−	0.993596i	$-0.536044\pi$
$67$	−1.84979			−0.225988			−0.112994	+	0.993596i	$0.536044\pi$
$68$	−0.0426835	+	0.131366i	−0.00517613	+	0.0159305i
$69$	−1.49330	+	1.08494i	−0.179772	+	0.130612i
$70$	−0.809017	−	0.587785i	−0.0966960	−	0.0702538i
$71$	−1.97528	−	6.07928i	−0.234422	−	0.721478i	−0.997198	−	0.0748139i	$-0.976164\pi$
$71$	−1.97528	−	6.07928i	−0.234422	−	0.721478i	0.762775	−	0.646664i	$-0.223836\pi$
$72$	−0.465597	−	1.43296i	−0.0548711	−	0.168876i
$73$	8.95170	+	6.50379i	1.04772	+	0.761211i	0.971777	−	0.235901i	$-0.0758042\pi$
$73$	8.95170	+	6.50379i	1.04772	+	0.761211i	0.0759402	+	0.997112i	$0.475804\pi$
$74$	−1.34992	+	0.980774i	−0.156925	+	0.114013i
$75$	0.377620	−	1.16220i	0.0436039	−	0.134199i
$76$	0.515316			0.0591108
$77$	2.61232	−	2.04348i	0.297701	−	0.232876i
$78$	4.25033			0.481256
$79$	3.08608	−	9.49797i	0.347211	−	1.06861i	−0.613179	−	0.789944i	$-0.710109\pi$
$79$	3.08608	−	9.49797i	0.347211	−	1.06861i	0.960390	−	0.278661i	$-0.0898906\pi$
$80$	0.809017	−	0.587785i	0.0904508	−	0.0657164i
$81$	1.78772	+	1.29885i	0.198635	+	0.144317i
$82$	−3.76593	−	11.5903i	−0.415877	−	1.27994i
$83$	0.681184	+	2.09647i	0.0747696	+	0.230117i	0.981456	−	0.191689i	$-0.0613964\pi$
$83$	0.681184	+	2.09647i	0.0747696	+	0.230117i	−0.906686	+	0.421806i	$0.861396\pi$
$84$	0.988623	+	0.718277i	0.107868	+	0.0783704i
$85$	−0.111747	+	0.0811888i	−0.0121206	+	0.00880616i
$86$	−3.29598	+	10.1440i	−0.355415	+	1.09385i
$87$	11.2921			1.21064
$88$	1.13621	+	3.11593i	0.121121	+	0.332159i
$89$	1.74164			0.184614			0.0923069	−	0.995731i	$-0.470576\pi$
$89$	1.74164			0.184614			0.0923069	+	0.995731i	$0.470576\pi$
$90$	0.465597	−	1.43296i	0.0490782	−	0.151047i
$91$	2.81389	−	2.04441i	0.294976	−	0.214313i
$92$	−1.22201	−	0.887839i	−0.127403	−	0.0925636i
$93$	3.87538	+	11.9272i	0.401859	+	1.23679i
$94$	−0.558370	−	1.71848i	−0.0575914	−	0.177248i
$95$	0.416899	+	0.302895i	0.0427730	+	0.0310764i
$96$	−0.988623	+	0.718277i	−0.100901	+	0.0733088i
$97$	−1.36299	+	4.19486i	−0.138391	+	0.425924i	−0.996102	−	0.0882084i	$-0.971886\pi$
$97$	−1.36299	+	4.19486i	−0.138391	+	0.425924i	0.857711	+	0.514132i	$0.171886\pi$
$98$	1.00000			0.101015
$99$	4.14451	+	2.79190i	0.416539	+	0.280597i
$100$	1.00000			0.100000
$101$	3.88783	−	11.9655i	0.386853	−	1.19061i	−0.548274	−	0.836299i	$-0.684715\pi$
$101$	3.88783	−	11.9655i	0.386853	−	1.19061i	0.935127	−	0.354313i	$-0.115285\pi$
$102$	0.136555	−	0.0992131i	0.0135210	−	0.00982356i
$103$	2.41468	+	1.75437i	0.237925	+	0.172863i	0.700358	−	0.713791i	$-0.253024\pi$
$103$	2.41468	+	1.75437i	0.237925	+	0.172863i	−0.462433	+	0.886654i	$0.653024\pi$
$104$	1.07481	+	3.30793i	0.105394	+	0.324369i
$105$	0.377620	+	1.16220i	0.0368520	+	0.113419i
$106$	−1.12538	−	0.817638i	−0.109307	−	0.0794160i
$107$	−10.7419	+	7.80442i	−1.03845	+	0.754481i	−0.969983	−	0.243172i	$-0.921812\pi$
$107$	−10.7419	+	7.80442i	−1.03845	+	0.754481i	−0.0684712	+	0.997653i	$0.521812\pi$
$108$	−1.70182	+	5.23767i	−0.163758	+	0.503995i
$109$	0.502741			0.0481539			0.0240769	−	0.999710i	$-0.492335\pi$
$109$	0.502741			0.0481539			0.0240769	+	0.999710i	$0.492335\pi$
$110$	−0.912280	+	3.18869i	−0.0869825	+	0.304030i
$111$	2.03903			0.193536
$112$	−0.309017	+	0.951057i	−0.0291994	+	0.0898664i
$113$	7.20993	−	5.23832i	0.678253	−	0.492780i	−0.194525	−	0.980898i	$-0.562316\pi$
$113$	7.20993	−	5.23832i	0.678253	−	0.492780i	0.872778	+	0.488118i	$0.162316\pi$
$114$	−0.509453	−	0.370139i	−0.0477147	−	0.0346667i
$115$	−0.466765	−	1.43655i	−0.0435260	−	0.133959i
$116$	2.85551	+	8.78835i	0.265127	+	0.815978i
$117$	4.23970	+	3.08032i	0.391960	+	0.284776i
$118$	−7.52800	+	5.46941i	−0.693008	+	0.503500i
$119$	0.0426835	−	0.131366i	0.00391279	−	0.0120423i
$120$	−1.22201			−0.111553
$121$	−9.33549	−	5.81796i	−0.848681	−	0.528905i
$122$	13.5218			1.22421
$123$	−4.60198	+	14.1634i	−0.414947	+	1.27707i
$124$	−8.30265	+	6.03223i	−0.745600	+	0.541710i
$125$	0.809017	+	0.587785i	0.0723607	+	0.0525731i
$126$	0.465597	+	1.43296i	0.0414786	+	0.127658i
$127$	3.91610	+	12.0525i	0.347497	+	1.06949i	0.960233	+	0.279199i	$0.0900689\pi$
$127$	3.91610	+	12.0525i	0.347497	+	1.06949i	−0.612736	+	0.790288i	$0.709931\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	10.5447	−	7.66116i	0.928407	−	0.674527i
$130$	−1.07481	+	3.30793i	−0.0942672	+	0.290125i
$131$	15.1497			1.32364			0.661818	−	0.749664i	$-0.269785\pi$
$131$	15.1497			1.32364			0.661818	+	0.749664i	$0.269785\pi$
$132$	1.11481	−	3.89660i	0.0970319	−	0.339155i
$133$	−0.515316			−0.0446835
$134$	−0.571617	+	1.75925i	−0.0493802	+	0.151976i
$135$	−4.45543	+	3.23706i	−0.383462	+	0.278602i
$136$	0.111747	+	0.0811888i	0.00958220	+	0.00696188i
$137$	6.76301	+	20.8144i	0.577803	+	1.77829i	0.626431	+	0.779477i	$0.284515\pi$
$137$	6.76301	+	20.8144i	0.577803	+	1.77829i	−0.0486282	+	0.998817i	$0.515485\pi$
$138$	0.570389	+	1.75548i	0.0485547	+	0.149436i
$139$	−2.00127	−	1.45400i	−0.169745	−	0.123327i	0.499669	−	0.866216i	$-0.333455\pi$
$139$	−2.00127	−	1.45400i	−0.169745	−	0.123327i	−0.669414	+	0.742889i	$0.733455\pi$
$140$	−0.809017	+	0.587785i	−0.0683744	+	0.0496769i
$141$	−0.682331	+	2.10000i	−0.0574626	+	0.176852i
$142$	−6.39213			−0.536416
$143$	−9.56743	−	6.44500i	−0.800069	−	0.538958i
$144$	−1.50670			−0.125559
$145$	−2.85551	+	8.78835i	−0.237137	+	0.729833i
$146$	8.95170	−	6.50379i	0.740848	−	0.538258i
$147$	−0.988623	−	0.718277i	−0.0815403	−	0.0592425i
$148$	0.515623	+	1.58693i	0.0423840	+	0.130444i
$149$	5.28536	+	16.2667i	0.432993	+	1.33262i	0.895129	+	0.445807i	$0.147083\pi$
$149$	5.28536	+	16.2667i	0.432993	+	1.33262i	−0.462136	+	0.886809i	$0.652917\pi$
$150$	−0.988623	−	0.718277i	−0.0807208	−	0.0586471i
$151$	−2.59914	+	1.88839i	−0.211515	+	0.153675i	−0.688499	−	0.725237i	$-0.741730\pi$
$151$	−2.59914	+	1.88839i	−0.211515	+	0.153675i	0.476984	+	0.878912i	$0.341730\pi$
$152$	0.159241	−	0.490094i	0.0129162	−	0.0397519i
$153$	0.208116			0.0168252
$154$	−1.13621	−	3.11593i	−0.0915588	−	0.251089i
$155$	−10.2626			−0.824315
$156$	1.31343	−	4.04231i	0.105158	−	0.323644i
$157$	−2.22337	+	1.61537i	−0.177444	+	0.128921i	−0.672962	−	0.739677i	$-0.734978\pi$
$157$	−2.22337	+	1.61537i	−0.177444	+	0.128921i	0.495518	+	0.868598i	$0.334978\pi$
$158$	−8.07946	−	5.87007i	−0.642767	−	0.466998i
$159$	0.525288	+	1.61667i	0.0416581	+	0.128210i
$160$	−0.309017	−	0.951057i	−0.0244299	−	0.0751876i
$161$	1.22201	+	0.887839i	0.0963075	+	0.0699715i
$162$	1.78772	−	1.29885i	0.140456	−	0.102048i
$163$	−3.86892	+	11.9073i	−0.303037	+	0.932653i	0.677365	+	0.735647i	$0.263122\pi$
$163$	−3.86892	+	11.9073i	−0.303037	+	0.932653i	−0.980402	+	0.197006i	$0.936878\pi$
$164$	−12.1868			−0.951628
$165$	3.19226	−	2.49714i	0.248517	−	0.194402i
$166$	2.20436			0.171091
$167$	5.26365	−	16.1998i	0.407313	−	1.25358i	−0.511635	−	0.859203i	$-0.670960\pi$
$167$	5.26365	−	16.1998i	0.407313	−	1.25358i	0.918948	−	0.394378i	$-0.129040\pi$
$168$	0.988623	−	0.718277i	0.0762739	−	0.0554163i
$169$	0.730047	+	0.530410i	0.0561575	+	0.0408008i
$170$	0.0426835	+	0.131366i	0.00327367	+	0.0100753i
$171$	−0.239929	−	0.738426i	−0.0183478	−	0.0564689i
$172$	8.62900	+	6.26933i	0.657955	+	0.478032i
$173$	−7.59346	+	5.51697i	−0.577320	+	0.419448i	−0.837757	−	0.546043i	$-0.816133\pi$
$173$	−7.59346	+	5.51697i	−0.577320	+	0.419448i	0.260437	+	0.965491i	$0.416133\pi$
$174$	3.48945	−	10.7394i	0.264534	−	0.814153i
$175$	−1.00000			−0.0755929
$176$	3.31453	−	0.117729i	0.249842	−	0.00887417i
$177$	11.3709			0.854690
$178$	0.538197	−	1.65640i	0.0403396	−	0.124153i
$179$	8.99896	−	6.53813i	0.672614	−	0.488683i	−0.198285	−	0.980144i	$-0.563537\pi$
$179$	8.99896	−	6.53813i	0.672614	−	0.488683i	0.870899	+	0.491462i	$0.163537\pi$
$180$	−1.21895	−	0.885617i	−0.0908550	−	0.0660100i
$181$	2.95929	+	9.10776i	0.219962	+	0.676974i	0.998764	+	0.0497041i	$0.0158278\pi$
$181$	2.95929	+	9.10776i	0.219962	+	0.676974i	−0.778802	+	0.627270i	$0.784172\pi$
$182$	−1.07481	−	3.30793i	−0.0796703	−	0.245200i
$183$	−13.3680	−	9.71241i	−0.988190	−	0.717962i
$184$	−1.22201	+	0.887839i	−0.0900874	+	0.0654524i
$185$	−0.515623	+	1.58693i	−0.0379094	+	0.116673i
$186$	12.5410			0.919551
$187$	−0.457825	+	0.0162615i	−0.0334795	+	0.00118916i
$188$	−1.80692			−0.131783
$189$	1.70182	−	5.23767i	0.123789	−	0.380985i
$190$	0.416899	−	0.302895i	0.0302450	−	0.0219743i
$191$	−7.92756	−	5.75971i	−0.573618	−	0.416758i	0.262800	−	0.964850i	$-0.415354\pi$
$191$	−7.92756	−	5.75971i	−0.573618	−	0.416758i	−0.836418	+	0.548093i	$0.815354\pi$
$192$	0.377620	+	1.16220i	0.0272524	+	0.0838743i
$193$	4.46568	+	13.7439i	0.321446	+	0.989310i	0.973019	+	0.230724i	$0.0741095\pi$
$193$	4.46568	+	13.7439i	0.321446	+	0.989310i	−0.651573	+	0.758586i	$0.725891\pi$
$194$	3.56836	+	2.59257i	0.256193	+	0.186135i
$195$	3.43859	−	2.49828i	0.246243	−	0.178906i
$196$	0.309017	−	0.951057i	0.0220726	−	0.0679326i
$197$	22.6950			1.61695			0.808476	−	0.588530i	$-0.200293\pi$
$197$	22.6950			1.61695			0.808476	+	0.588530i	$0.200293\pi$
$198$	3.93598	−	3.07892i	0.279718	−	0.218809i
$199$	9.43893			0.669108			0.334554	−	0.942377i	$-0.391414\pi$
$199$	9.43893			0.669108			0.334554	+	0.942377i	$0.391414\pi$
$200$	0.309017	−	0.951057i	0.0218508	−	0.0672499i
$201$	1.82875	−	1.32866i	0.128990	−	0.0937166i
$202$	−10.1785	−	7.39509i	−0.716154	−	0.520316i
$203$	−2.85551	−	8.78835i	−0.200417	−	0.616822i
$204$	−0.0521594	−	0.160530i	−0.00365189	−	0.0112394i
$205$	−9.85932	−	7.16322i	−0.688605	−	0.500301i
$206$	2.41468	−	1.75437i	0.168239	−	0.122232i
$207$	−0.703275	+	2.16446i	−0.0488810	+	0.150440i
$208$	3.47816			0.241167
$209$	0.585509	+	1.60569i	0.0405005	+	0.111068i
$210$	1.22201			0.0843264
$211$	3.44553	−	10.6042i	0.237200	−	0.730026i	−0.759622	−	0.650365i	$-0.774616\pi$
$211$	3.44553	−	10.6042i	0.237200	−	0.730026i	0.996822	−	0.0796614i	$-0.0253839\pi$
$212$	−1.12538	+	0.817638i	−0.0772915	+	0.0561556i
$213$	6.31941	+	4.59132i	0.432999	+	0.314592i
$214$	4.10302	+	12.6278i	0.280477	+	0.863219i
$215$	3.29598	+	10.1440i	0.224784	+	0.691815i
$216$	4.45543	+	3.23706i	0.303154	+	0.220254i
$217$	8.30265	−	6.03223i	0.563621	−	0.409494i
$218$	0.155356	−	0.478135i	0.0105220	−	0.0323834i
$219$	−13.5214			−0.913690
$220$	2.75071	+	1.85299i	0.185453	+	0.124929i
$221$	−0.480427			−0.0323170
$222$	0.630095	−	1.93923i	0.0422892	−	0.130153i
$223$	3.21827	−	2.33821i	0.215511	−	0.156578i	−0.474792	−	0.880098i	$-0.657477\pi$
$223$	3.21827	−	2.33821i	0.215511	−	0.156578i	0.690304	+	0.723520i	$0.257477\pi$
$224$	0.809017	+	0.587785i	0.0540547	+	0.0392731i
$225$	−0.465597	−	1.43296i	−0.0310398	−	0.0955306i
$226$	−2.75395	−	8.47578i	−0.183190	−	0.563800i
$227$	−17.5838	−	12.7754i	−1.16708	−	0.847930i	−0.176419	−	0.984315i	$-0.556452\pi$
$227$	−17.5838	−	12.7754i	−1.16708	−	0.847930i	−0.990656	+	0.136385i	$0.956452\pi$
$228$	−0.509453	+	0.370139i	−0.0337394	+	0.0245131i
$229$	0.508698	−	1.56561i	0.0336157	−	0.103458i	−0.932841	−	0.360289i	$-0.882678\pi$
$229$	0.508698	−	1.56561i	0.0336157	−	0.103458i	0.966457	+	0.256830i	$0.0826782\pi$
$230$	−1.51048			−0.0995982
$231$	−1.11481	+	3.89660i	−0.0733492	+	0.256377i
$232$	9.24062			0.606677
$233$	−0.345016	+	1.06185i	−0.0226028	+	0.0695642i	−0.961722	−	0.274028i	$-0.911644\pi$
$233$	−0.345016	+	1.06185i	−0.0226028	+	0.0695642i	0.939119	+	0.343592i	$0.111644\pi$
$234$	4.23970	−	3.08032i	0.277158	−	0.201367i
$235$	−1.46183	−	1.06208i	−0.0953593	−	0.0692826i
$236$	2.87544	+	8.84969i	0.187175	+	0.576066i
$237$	3.77120	+	11.6066i	0.244966	+	0.753928i
$238$	−0.111747	−	0.0811888i	−0.00724347	−	0.00526269i
$239$	−14.0055	+	10.1756i	−0.905941	+	0.658205i	−0.939985	−	0.341215i	$-0.889161\pi$
$239$	−14.0055	+	10.1756i	−0.905941	+	0.658205i	0.0340437	+	0.999420i	$0.489161\pi$
$240$	−0.377620	+	1.16220i	−0.0243753	+	0.0750195i
$241$	−23.7524			−1.53003			−0.765015	−	0.644013i	$-0.777268\pi$
$241$	−23.7524			−1.53003			−0.765015	+	0.644013i	$0.777268\pi$
$242$	−8.41803	+	7.08073i	−0.541132	+	0.455167i
$243$	13.8213			0.886639
$244$	4.17847	−	12.8600i	0.267499	−	0.823278i
$245$	0.809017	−	0.587785i	0.0516862	−	0.0375522i
$246$	12.0481	+	8.75349i	0.768162	+	0.558102i
$247$	0.553867	+	1.70463i	0.0352417	+	0.108463i
$248$	3.17133	+	9.76035i	0.201380	+	0.619783i
$249$	−2.17928	−	1.58334i	−0.138106	−	0.100340i
$250$	0.809017	−	0.587785i	0.0511667	−	0.0371748i
$251$	3.74700	−	11.5321i	0.236508	−	0.727898i	−0.760409	−	0.649444i	$-0.775002\pi$
$251$	3.74700	−	11.5321i	0.236508	−	0.727898i	0.996918	−	0.0784540i	$-0.0249984\pi$
$252$	1.50670			0.0949133
$253$	1.37798	−	4.81646i	0.0866331	−	0.302808i
$254$	12.6728			0.795159
$255$	0.0521594	−	0.160530i	0.00326635	−	0.0100528i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	23.1455	+	16.8162i	1.44378	+	1.04897i	0.987236	+	0.159264i	$0.0509122\pi$
$257$	23.1455	+	16.8162i	1.44378	+	1.04897i	0.456542	+	0.889702i	$0.349088\pi$
$258$	−4.02771	−	12.3960i	−0.250754	−	0.771742i
$259$	−0.515623	−	1.58693i	−0.0320393	−	0.0986068i
$260$	2.81389	+	2.04441i	0.174510	+	0.126789i
$261$	11.2638	−	8.18366i	0.697214	−	0.506556i
$262$	4.68152	−	14.4082i	0.289225	−	0.890144i
$263$	−30.4738			−1.87910			−0.939549	−	0.342415i	$-0.888755\pi$
$263$	−30.4738			−1.87910			−0.939549	+	0.342415i	$0.888755\pi$
$264$	−3.36139	−	2.26436i	−0.206879	−	0.139362i
$265$	−1.39105			−0.0854514
$266$	−0.159241	+	0.490094i	−0.00976371	+	0.0300496i
$267$	−1.72183	+	1.25098i	−0.105374	+	0.0765589i
$268$	1.49651	+	1.08728i	0.0914140	+	0.0664162i
$269$	−9.59452	−	29.5289i	−0.584988	−	1.80041i	−0.599317	−	0.800512i	$-0.704561\pi$
$269$	−9.59452	−	29.5289i	−0.584988	−	1.80041i	0.0143286	−	0.999897i	$-0.495439\pi$
$270$	1.70182	+	5.23767i	0.103570	+	0.318755i
$271$	−6.88439	−	5.00180i	−0.418197	−	0.303838i	0.358715	−	0.933447i	$-0.383215\pi$
$271$	−6.88439	−	5.00180i	−0.418197	−	0.303838i	−0.776912	+	0.629609i	$0.783215\pi$
$272$	0.111747	−	0.0811888i	0.00677564	−	0.00492279i
$273$	−1.31343	+	4.04231i	−0.0794921	+	0.244652i
$274$	21.8856			1.32215
$275$	1.13621	+	3.11593i	0.0685163	+	0.187898i
$276$	1.84582			0.111105
$277$	−4.52383	+	13.9229i	−0.271811	+	0.836548i	0.718235	+	0.695801i	$0.244950\pi$
$277$	−4.52383	+	13.9229i	−0.271811	+	0.836548i	−0.990046	+	0.140747i	$0.955050\pi$
$278$	−2.00127	+	1.45400i	−0.120028	+	0.0872054i
$279$	12.5096	+	9.08877i	0.748932	+	0.544131i
$280$	0.309017	+	0.951057i	0.0184673	+	0.0568365i
$281$	−2.75597	−	8.48200i	−0.164407	−	0.505994i	0.834585	−	0.550880i	$-0.185708\pi$
$281$	−2.75597	−	8.48200i	−0.164407	−	0.505994i	−0.998992	+	0.0448856i	$0.985708\pi$
$282$	1.78637	+	1.29787i	0.106376	+	0.0772870i
$283$	−15.9508	+	11.5889i	−0.948176	+	0.688890i	−0.950375	−	0.311107i	$-0.899300\pi$
$283$	−15.9508	+	11.5889i	−0.948176	+	0.688890i	0.00219879	+	0.999998i	$0.499300\pi$
$284$	−1.97528	+	6.07928i	−0.117211	+	0.360739i
$285$	−0.629719			−0.0373013
$286$	−9.08606	+	7.10755i	−0.537270	+	0.420278i
$287$	12.1868			0.719363
$288$	−0.465597	+	1.43296i	−0.0274355	+	0.0844379i
$289$	13.7379	−	9.98113i	0.808109	−	0.587126i
$290$	7.47582	+	5.43150i	0.438995	+	0.318949i
$291$	−1.66559	−	5.12614i	−0.0976383	−	0.300500i
$292$	−3.41925	−	10.5234i	−0.200096	−	0.615833i
$293$	−5.60545	−	4.07260i	−0.327474	−	0.237924i	0.411884	−	0.911236i	$-0.364871\pi$
$293$	−5.60545	−	4.07260i	−0.327474	−	0.237924i	−0.739358	+	0.673313i	$0.764871\pi$
$294$	−0.988623	+	0.718277i	−0.0576577	+	0.0418908i
$295$	−2.87544	+	8.84969i	−0.167415	+	0.515249i
$296$	1.66859			0.0969850
$297$	−18.2539	+	0.648360i	−1.05920	+	0.0376217i
$298$	17.1038			0.990795
$299$	1.62348	−	4.99657i	0.0938884	−	0.288959i
$300$	−0.988623	+	0.718277i	−0.0570782	+	0.0414697i
$301$	−8.62900	−	6.26933i	−0.497367	−	0.361358i
$302$	0.992784	+	3.05548i	0.0571283	+	0.175823i
$303$	4.75095	+	14.6219i	0.272935	+	0.840007i
$304$	−0.416899	−	0.302895i	−0.0239108	−	0.0173722i
$305$	10.9394	−	7.94793i	0.626387	−	0.455097i
$306$	0.0643113	−	0.197930i	0.00367643	−	0.0113149i
$307$	−20.6340			−1.17764			−0.588821	−	0.808263i	$-0.700408\pi$
$307$	−20.6340			−1.17764			−0.588821	+	0.808263i	$0.700408\pi$
$308$	−3.31453	+	0.117729i	−0.188863	+	0.00670824i
$309$	−3.64733			−0.207489
$310$	−3.17133	+	9.76035i	−0.180119	+	0.554351i
$311$	16.3712	−	11.8944i	0.928327	−	0.674469i	−0.0172555	−	0.999851i	$-0.505493\pi$
$311$	16.3712	−	11.8944i	0.928327	−	0.674469i	0.945583	+	0.325382i	$0.105493\pi$
$312$	−3.43859	−	2.49828i	−0.194672	−	0.141437i
$313$	−1.36210	−	4.19211i	−0.0769903	−	0.236952i	0.905153	−	0.425086i	$-0.139756\pi$
$313$	−1.36210	−	4.19211i	−0.0769903	−	0.236952i	−0.982143	+	0.188134i	$0.939756\pi$
$314$	0.849253	+	2.61373i	0.0479261	+	0.147501i
$315$	1.21895	+	0.885617i	0.0686799	+	0.0498989i
$316$	−8.07946	+	5.87007i	−0.454505	+	0.330217i
$317$	8.03387	−	24.7257i	0.451227	−	1.38873i	−0.424281	−	0.905531i	$-0.639473\pi$
$317$	8.03387	−	24.7257i	0.451227	−	1.38873i	0.875508	−	0.483204i	$-0.160527\pi$
$318$	1.69987			0.0953239
$319$	−24.1394	+	18.8830i	−1.35155	+	1.05725i
$320$	−1.00000			−0.0559017
$321$	5.01392	−	15.4313i	0.279850	−	0.861289i
$322$	1.22201	−	0.887839i	0.0680997	−	0.0494773i
$323$	0.0575848	+	0.0418378i	0.00320411	+	0.00232792i
$324$	−0.682848	−	2.10159i	−0.0379360	−	0.116755i
$325$	1.07481	+	3.30793i	0.0596198	+	0.183491i
$326$	10.1290	+	7.35913i	0.560992	+	0.407584i
$327$	−0.497022	+	0.361107i	−0.0274854	+	0.0199693i
$328$	−3.76593	+	11.5903i	−0.207938	+	0.639969i
$329$	1.80692			0.0996188
$330$	−1.38846	−	3.80768i	−0.0764322	−	0.209606i
$331$	−19.8219			−1.08951			−0.544755	−	0.838595i	$-0.683377\pi$
$331$	−19.8219			−1.08951			−0.544755	+	0.838595i	$0.683377\pi$
$332$	0.681184	−	2.09647i	0.0373848	−	0.115059i
$333$	2.03393	−	1.47773i	0.111459	−	0.0809793i
$334$	−13.7804	−	10.0121i	−0.754030	−	0.547835i
$335$	0.571617	+	1.75925i	0.0312308	+	0.0961184i
$336$	−0.377620	−	1.16220i	−0.0206009	−	0.0634030i
$337$	−24.5812	−	17.8593i	−1.33902	−	0.972856i	−0.999479	−	0.0322645i	$-0.989728\pi$
$337$	−24.5812	−	17.8593i	−1.33902	−	0.972856i	−0.339541	−	0.940591i	$-0.610272\pi$
$338$	0.730047	−	0.530410i	0.0397093	−	0.0288505i
$339$	−3.36534	+	10.3574i	−0.182780	+	0.562539i
$340$	0.138127			0.00749096
$341$	−28.2296	−	19.0166i	−1.52872	−	1.02980i
$342$	−0.776427			−0.0419844
$343$	−0.309017	+	0.951057i	−0.0166853	+	0.0513522i
$344$	8.62900	−	6.26933i	0.465244	−	0.338020i
$345$	1.49330	+	1.08494i	0.0803964	+	0.0584114i
$346$	2.90044	+	8.92665i	0.155929	+	0.479900i
$347$	−5.14650	−	15.8393i	−0.276279	−	0.850299i	−0.988878	−	0.148727i	$-0.952482\pi$
$347$	−5.14650	−	15.8393i	−0.276279	−	0.850299i	0.712599	−	0.701571i	$-0.247518\pi$
$348$	−9.13549	−	6.63733i	−0.489714	−	0.355798i
$349$	1.37845	−	1.00151i	0.0737869	−	0.0536094i	−0.550280	−	0.834980i	$-0.685479\pi$
$349$	1.37845	−	1.00151i	0.0737869	−	0.0536094i	0.624067	+	0.781371i	$0.285479\pi$
$350$	−0.309017	+	0.951057i	−0.0165177	+	0.0508361i
$351$	−19.1550			−1.02242
$352$	0.912280	−	3.18869i	0.0486247	−	0.169958i
$353$	10.7417			0.571724			0.285862	−	0.958271i	$-0.407720\pi$
$353$	10.7417			0.571724			0.285862	+	0.958271i	$0.407720\pi$
$354$	3.51380	−	10.8144i	0.186757	−	0.574777i
$355$	−5.17134	+	3.75720i	−0.274466	+	0.199412i
$356$	−1.40902	−	1.02371i	−0.0746779	−	0.0542567i
$357$	0.0521594	+	0.160530i	0.00276057	+	0.00849616i
$358$	−3.43730	−	10.5789i	−0.181667	−	0.559113i
$359$	13.1711	+	9.56937i	0.695145	+	0.505052i	0.878347	−	0.478023i	$-0.158646\pi$
$359$	13.1711	+	9.56937i	0.695145	+	0.505052i	−0.183203	+	0.983075i	$0.558646\pi$
$360$	−1.21895	+	0.885617i	−0.0642442	+	0.0466761i
$361$	−5.78926	+	17.8175i	−0.304698	+	0.937764i
$362$	9.57646			0.503328
$363$	13.4082	−	0.953696i	0.703747	−	0.0500561i
$364$	−3.47816			−0.182305
$365$	3.41925	−	10.5234i	0.178971	−	0.550818i
$366$	−13.3680	+	9.71241i	−0.698756	+	0.507676i
$367$	17.0660	+	12.3992i	0.890838	+	0.647231i	0.936096	−	0.351744i	$-0.114411\pi$
$367$	17.0660	+	12.3992i	0.890838	+	0.647231i	−0.0452587	+	0.998975i	$0.514411\pi$
$368$	0.466765	+	1.43655i	0.0243318	+	0.0748855i
$369$	5.67413	+	17.4632i	0.295383	+	0.909096i
$370$	1.34992	+	0.980774i	0.0701790	+	0.0509880i
$371$	1.12538	−	0.817638i	0.0584269	−	0.0424496i
$372$	3.87538	−	11.9272i	0.200929	−	0.618397i
$373$	−13.9335			−0.721449			−0.360725	−	0.932672i	$-0.617471\pi$
$373$	−13.9335			−0.721449			−0.360725	+	0.932672i	$0.617471\pi$
$374$	−0.126010	+	0.440443i	−0.00651583	+	0.0227748i
$375$	−1.22201			−0.0631041
$376$	−0.558370	+	1.71848i	−0.0287957	+	0.0886241i
$377$	−26.0021	+	18.8916i	−1.33918	+	0.972969i
$378$	−4.45543	−	3.23706i	−0.229163	−	0.166496i
$379$	6.84321	+	21.0612i	0.351512	+	1.08184i	0.958004	+	0.286754i	$0.0925761\pi$
$379$	6.84321	+	21.0612i	0.351512	+	1.08184i	−0.606492	+	0.795089i	$0.707424\pi$
$380$	−0.159241	−	0.490094i	−0.00816891	−	0.0251413i
$381$	−12.5286	−	9.10255i	−0.641859	−	0.466338i
$382$	−7.92756	+	5.75971i	−0.405609	+	0.294692i
$383$	−6.95815	+	21.4150i	−0.355545	+	1.09425i	0.600148	+	0.799889i	$0.295108\pi$
$383$	−6.95815	+	21.4150i	−0.355545	+	1.09425i	−0.955693	+	0.294366i	$0.904892\pi$
$384$	1.22201			0.0623602
$385$	−2.75071	−	1.85299i	−0.140189	−	0.0944371i
$386$	14.4512			0.735548
$387$	4.96607	−	15.2840i	0.252439	−	0.776928i
$388$	3.56836	−	2.59257i	0.181156	−	0.131618i
$389$	16.8553	+	12.2461i	0.854598	+	0.620902i	0.926410	−	0.376516i	$-0.122878\pi$
$389$	16.8553	+	12.2461i	0.854598	+	0.620902i	−0.0718120	+	0.997418i	$0.522878\pi$
$390$	−1.31343	−	4.04231i	−0.0665079	−	0.204690i
$391$	−0.0644726	−	0.198426i	−0.00326052	−	0.0100348i
$392$	−0.809017	−	0.587785i	−0.0408615	−	0.0296876i
$393$	−14.9774	+	10.8817i	−0.755508	+	0.548909i
$394$	7.01314	−	21.5842i	0.353317	−	1.08740i
$395$	−9.98676			−0.502488
$396$	−1.71194	−	4.69478i	−0.0860281	−	0.235921i
$397$	19.0865			0.957924			0.478962	−	0.877836i	$-0.341013\pi$
$397$	19.0865			0.957924			0.478962	+	0.877836i	$0.341013\pi$
$398$	2.91679	−	8.97696i	0.146205	−	0.449974i
$399$	0.509453	−	0.370139i	0.0255046	−	0.0185301i
$400$	−0.809017	−	0.587785i	−0.0404508	−	0.0293893i
$401$	9.32906	+	28.7119i	0.465871	+	1.43380i	0.857884	+	0.513843i	$0.171779\pi$
$401$	9.32906	+	28.7119i	0.465871	+	1.43380i	−0.392013	+	0.919960i	$0.628221\pi$
$402$	−0.698519	−	2.14982i	−0.0348389	−	0.107223i
$403$	−28.8780	−	20.9811i	−1.43851	−	1.04514i
$404$	−10.1785	+	7.39509i	−0.506397	+	0.367919i
$405$	0.682848	−	2.10159i	0.0339310	−	0.104429i
$406$	−9.24062			−0.458604
$407$	−4.35889	+	3.40973i	−0.216062	+	0.169014i
$408$	−0.168791			−0.00835642
$409$	−9.10310	+	28.0165i	−0.450119	+	1.38532i	0.426652	+	0.904416i	$0.359693\pi$
$409$	−9.10310	+	28.0165i	−0.450119	+	1.38532i	−0.876771	+	0.480908i	$0.840307\pi$
$410$	−9.85932	+	7.16322i	−0.486917	+	0.353766i
$411$	−21.6366	−	15.7199i	−1.06725	−	0.775405i
$412$	−0.922325	−	2.83862i	−0.0454397	−	0.139849i
$413$	−2.87544	−	8.84969i	−0.141491	−	0.435465i
$414$	1.84120	+	1.33771i	0.0904900	+	0.0657448i
$415$	1.78336	−	1.29569i	0.0875418	−	0.0636028i
$416$	1.07481	−	3.30793i	0.0526970	−	0.162185i
$417$	3.02287			0.148031
$418$	1.70803	−	0.0606677i	0.0835426	−	0.00296735i
$419$	−20.4867			−1.00084			−0.500419	−	0.865783i	$-0.666821\pi$
$419$	−20.4867			−1.00084			−0.500419	+	0.865783i	$0.666821\pi$
$420$	0.377620	−	1.16220i	0.0184260	−	0.0567094i
$421$	2.11398	−	1.53590i	0.103029	−	0.0748550i	−0.535078	−	0.844803i	$-0.679718\pi$
$421$	2.11398	−	1.53590i	0.103029	−	0.0748550i	0.638107	+	0.769948i	$0.279718\pi$
$422$	−9.02051	−	6.55378i	−0.439111	−	0.319033i
$423$	0.841297	+	2.58925i	0.0409053	+	0.125893i
$424$	0.429858	+	1.32297i	0.0208757	+	0.0642489i
$425$	0.111747	+	0.0811888i	0.00542051	+	0.00393823i
$426$	6.31941	−	4.59132i	0.306176	−	0.222450i
$427$	−4.17847	+	12.8600i	−0.202211	+	0.622340i
$428$	13.2777			0.641800
$429$	14.0879	−	0.500388i	0.680169	−	0.0241590i
$430$	10.6660			0.514361
$431$	−3.05245	+	9.39449i	−0.147031	+	0.452516i	−0.997267	−	0.0738866i	$-0.976460\pi$
$431$	−3.05245	+	9.39449i	−0.147031	+	0.452516i	0.850235	+	0.526403i	$0.176460\pi$
$432$	4.45543	−	3.23706i	0.214362	−	0.155743i
$433$	−15.7968	−	11.4770i	−0.759146	−	0.551552i	0.139502	−	0.990222i	$-0.455450\pi$
$433$	−15.7968	−	11.4770i	−0.759146	−	0.551552i	−0.898648	+	0.438670i	$0.855450\pi$
$434$	−3.17133	−	9.76035i	−0.152229	−	0.468512i
$435$	−3.48945	−	10.7394i	−0.167306	−	0.514916i
$436$	−0.406726	−	0.295504i	−0.0194787	−	0.0141521i
$437$	−0.629719	+	0.457517i	−0.0301235	+	0.0218860i
$438$	−4.17834	+	12.8596i	−0.199649	+	0.614455i
$439$	3.38579			0.161595			0.0807974	−	0.996731i	$-0.474253\pi$
$439$	3.38579			0.161595			0.0807974	+	0.996731i	$0.474253\pi$
$440$	2.61232	−	2.04348i	0.124537	−	0.0974191i
$441$	−1.50670			−0.0717477
$442$	−0.148460	+	0.456913i	−0.00706152	+	0.0217331i
$443$	15.6533	−	11.3728i	0.743710	−	0.540337i	−0.150161	−	0.988662i	$-0.547979\pi$
$443$	15.6533	−	11.3728i	0.743710	−	0.540337i	0.893871	+	0.448325i	$0.147979\pi$
$444$	−1.64961	−	1.19851i	−0.0782870	−	0.0568788i
$445$	−0.538197	−	1.65640i	−0.0255130	−	0.0785210i
$446$	−1.22927	−	3.78331i	−0.0582076	−	0.179145i
$447$	−16.9092	−	12.2852i	−0.799777	−	0.581072i
$448$	0.809017	−	0.587785i	0.0382225	−	0.0277702i
$449$	10.2387	−	31.5114i	0.483194	−	1.48712i	−0.351387	−	0.936230i	$-0.614290\pi$
$449$	10.2387	−	31.5114i	0.483194	−	1.48712i	0.834580	−	0.550887i	$-0.185710\pi$
$450$	−1.50670			−0.0710266
$451$	−13.8468	−	37.9732i	−0.652021	−	1.78809i
$452$	−8.91196			−0.419183
$453$	1.21319	−	3.73381i	0.0570005	−	0.175430i
$454$	−17.5838	+	12.7754i	−0.825247	+	0.599577i
$455$	−2.81389	−	2.04441i	−0.131917	−	0.0958435i
$456$	0.194594	+	0.598898i	0.00911269	+	0.0280460i
$457$	−3.91974	−	12.0637i	−0.183358	−	0.564317i	0.816559	−	0.577263i	$-0.195879\pi$
$457$	−3.91974	−	12.0637i	−0.183358	−	0.564317i	−0.999916	+	0.0129459i	$0.995879\pi$
$458$	−1.33179	−	0.967601i	−0.0622304	−	0.0452130i
$459$	−0.615413	+	0.447124i	−0.0287250	+	0.0208700i
$460$	−0.466765	+	1.43655i	−0.0217630	+	0.0669797i
$461$	19.4617			0.906421			0.453211	−	0.891403i	$-0.350279\pi$
$461$	19.4617			0.906421			0.453211	+	0.891403i	$0.350279\pi$
$462$	3.36139	+	2.26436i	0.156386	+	0.105348i
$463$	29.6401			1.37749			0.688746	−	0.725003i	$-0.258162\pi$
$463$	29.6401			1.37749			0.688746	+	0.725003i	$0.258162\pi$
$464$	2.85551	−	8.78835i	0.132564	−	0.407989i
$465$	10.1459	−	7.37142i	0.470504	−	0.341841i
$466$	0.903264	+	0.656260i	0.0418429	+	0.0304006i
$467$	8.28194	+	25.4892i	0.383242	+	1.17950i	0.937747	+	0.347318i	$0.112908\pi$
$467$	8.28194	+	25.4892i	0.383242	+	1.17950i	−0.554505	+	0.832181i	$0.687092\pi$
$468$	−1.61942	−	4.98406i	−0.0748577	−	0.230388i
$469$	−1.49651	−	1.08728i	−0.0691025	−	0.0502059i
$470$	−1.46183	+	1.06208i	−0.0674292	+	0.0489902i
$471$	1.03779	−	3.19399i	0.0478189	−	0.147172i
$472$	9.30512			0.428303
$473$	−9.73041	+	34.0106i	−0.447405	+	1.56381i
$474$	12.2039			0.560542
$475$	0.159241	−	0.490094i	0.00730649	−	0.0224871i
$476$	−0.111747	+	0.0811888i	−0.00512190	+	0.00372128i
$477$	1.69562	+	1.23194i	0.0776369	+	0.0564065i
$478$	5.34963	+	16.4645i	0.244686	+	0.753067i
$479$	4.12270	+	12.6884i	0.188371	+	0.579746i	0.999990	−	0.00444053i	$-0.00141347\pi$
$479$	4.12270	+	12.6884i	0.188371	+	0.579746i	−0.811619	+	0.584187i	$0.801413\pi$
$480$	0.988623	+	0.718277i	0.0451243	+	0.0327847i
$481$	−4.69524	+	3.41129i	−0.214084	+	0.155541i
$482$	−7.33991	+	22.5899i	−0.334324	+	1.02894i
$483$	−1.84582			−0.0839876
$484$	4.13286	+	10.1941i	0.187857	+	0.463368i
$485$	4.41074			0.200281
$486$	4.27103	−	13.1449i	0.193738	−	0.596263i
$487$	10.8180	−	7.85972i	0.490209	−	0.356158i	−0.315056	−	0.949073i	$-0.602023\pi$
$487$	10.8180	−	7.85972i	0.490209	−	0.356158i	0.805265	+	0.592915i	$0.202023\pi$
$488$	−10.9394	−	7.94793i	−0.495203	−	0.359786i
$489$	−4.72784	−	14.5508i	−0.213800	−	0.658010i
$490$	−0.309017	−	0.951057i	−0.0139600	−	0.0429644i
$491$	−21.0112	−	15.2655i	−0.948221	−	0.688923i	0.00216412	−	0.999998i	$-0.499311\pi$
$491$	−21.0112	−	15.2655i	−0.948221	−	0.688923i	−0.950386	+	0.311074i	$0.899311\pi$
$492$	12.0481	−	8.75349i	0.543172	−	0.394638i
$493$	−0.394422	+	1.21391i	−0.0177639	+	0.0546715i
$494$	1.79235			0.0806417
$495$	1.37454	−	4.80441i	0.0617808	−	0.215942i
$496$	10.2626			0.460806
$497$	1.97528	−	6.07928i	0.0886033	−	0.272693i
$498$	−2.17928	+	1.58334i	−0.0976558	+	0.0709511i
$499$	18.2729	+	13.2761i	0.818008	+	0.594318i	0.916141	−	0.400855i	$-0.131287\pi$
$499$	18.2729	+	13.2761i	0.818008	+	0.594318i	−0.0981330	+	0.995173i	$0.531287\pi$
$500$	−0.309017	−	0.951057i	−0.0138197	−	0.0425325i
$501$	6.43221	+	19.7963i	0.287370	+	0.884433i
$502$	−9.80977	−	7.12721i	−0.437831	−	0.318103i
$503$	23.2943	−	16.9243i	1.03864	−	0.754617i	0.0686215	−	0.997643i	$-0.478140\pi$
$503$	23.2943	−	16.9243i	1.03864	−	0.754617i	0.970020	+	0.243026i	$0.0781399\pi$
$504$	0.465597	−	1.43296i	0.0207393	−	0.0638291i
$505$	−12.5813			−0.559859
$506$	−4.15490	−	2.79891i	−0.184708	−	0.124427i
$507$	−1.10272			−0.0489737
$508$	3.91610	−	12.0525i	0.173749	−	0.534743i
$509$	19.3805	−	14.0808i	0.859027	−	0.624119i	−0.0685933	−	0.997645i	$-0.521851\pi$
$509$	19.3805	−	14.0808i	0.859027	−	0.624119i	0.927620	+	0.373525i	$0.121851\pi$
$510$	−0.136555	−	0.0992131i	−0.00604676	−	0.00439323i
$511$	3.41925	+	10.5234i	0.151258	+	0.465526i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	2.29595	+	1.66811i	0.101369	+	0.0736488i
$514$	23.1455	−	16.8162i	1.02091	−	0.741731i
$515$	0.922325	−	2.83862i	0.0406425	−	0.125085i
$516$	−13.0339			−0.573787
$517$	−2.05305	−	5.63024i	−0.0902931	−	0.247618i
$518$	−1.66859			−0.0733137
$519$	3.54436	−	10.9084i	0.155580	−	0.478826i
$520$	2.81389	−	2.04441i	0.123397	−	0.0896534i
$521$	12.7750	+	9.28156i	0.559682	+	0.406632i	0.831342	−	0.555761i	$-0.187573\pi$
$521$	12.7750	+	9.28156i	0.559682	+	0.406632i	−0.271661	+	0.962393i	$0.587573\pi$
$522$	−4.30240	−	13.2414i	−0.188311	−	0.579562i
$523$	−6.85560	−	21.0994i	−0.299775	−	0.922611i	−0.981576	−	0.191074i	$-0.938803\pi$
$523$	−6.85560	−	21.0994i	−0.299775	−	0.922611i	0.681801	−	0.731538i	$-0.261197\pi$
$524$	−12.2564	−	8.90478i	−0.535422	−	0.389007i
$525$	0.988623	−	0.718277i	0.0431471	−	0.0313482i
$526$	−9.41694	+	28.9823i	−0.410598	+	1.26369i
$527$	−1.41754			−0.0617492
$528$	−3.19226	+	2.49714i	−0.138925	+	0.108674i
$529$	−20.7184			−0.900802
$530$	−0.429858	+	1.32297i	−0.0186718	+	0.0574660i
$531$	11.3425	−	8.24077i	0.492221	−	0.357619i
$532$	0.416899	+	0.302895i	0.0180749	+	0.0131322i
$533$	−13.0985	−	40.3130i	−0.567359	−	1.74615i
$534$	0.657680	+	2.02413i	0.0284606	+	0.0875928i
$535$	10.7419	+	7.80442i	0.464411	+	0.337414i
$536$	1.49651	−	1.08728i	0.0646395	−	0.0469633i
$537$	−4.20040	+	12.9275i	−0.181261	+	0.557863i
$538$	−31.0485			−1.33860
$539$	3.31453	−	0.117729i	0.142767	−	0.00507096i
$540$	5.50722			0.236993
$541$	−5.85618	+	18.0235i	−0.251777	+	0.774890i	0.742671	+	0.669657i	$0.233559\pi$
$541$	−5.85618	+	18.0235i	−0.251777	+	0.774890i	−0.994448	+	0.105233i	$0.966441\pi$
$542$	−6.88439	+	5.00180i	−0.295710	+	0.214846i
$543$	−9.46752	−	6.87855i	−0.406290	−	0.295187i
$544$	−0.0426835	−	0.131366i	−0.00183004	−	0.00563228i
$545$	−0.155356	−	0.478135i	−0.00665470	−	0.0204811i
$546$	3.43859	+	2.49828i	0.147158	+	0.106917i
$547$	25.5696	−	18.5774i	1.09328	−	0.794311i	0.113326	−	0.993558i	$-0.463850\pi$
$547$	25.5696	−	18.5774i	1.09328	−	0.794311i	0.979949	+	0.199247i	$0.0638495\pi$
$548$	6.76301	−	20.8144i	0.288901	−	0.889147i
$549$	−20.3734			−0.869514
$550$	3.31453	−	0.117729i	0.141332	−	0.00501999i
$551$	4.76184			0.202861
$552$	0.570389	−	1.75548i	0.0242774	−	0.0747180i
$553$	8.07946	−	5.87007i	0.343573	−	0.249621i
$554$	11.8435	+	8.60484i	0.503184	+	0.365585i
$555$	−0.630095	−	1.93923i	−0.0267460	−	0.0823158i
$556$	0.764415	+	2.35263i	0.0324184	+	0.0997737i
$557$	12.7326	+	9.25080i	0.539499	+	0.391969i	0.823899	−	0.566737i	$-0.191794\pi$
$557$	12.7326	+	9.25080i	0.539499	+	0.391969i	−0.284400	+	0.958706i	$0.591794\pi$
$558$	12.5096	−	9.08877i	0.529575	−	0.384758i
$559$	−11.4640	+	35.2825i	−0.484874	+	1.49229i
$560$	1.00000			0.0422577
$561$	0.440936	−	0.344922i	0.0186164	−	0.0145626i
$562$	−8.91851			−0.376205
$563$	0.509741	−	1.56882i	0.0214830	−	0.0661180i	−0.939740	−	0.341889i	$-0.888933\pi$
$563$	0.509741	−	1.56882i	0.0214830	−	0.0661180i	0.961223	+	0.275771i	$0.0889332\pi$
$564$	1.78637	−	1.29787i	0.0752195	−	0.0546502i
$565$	−7.20993	−	5.23832i	−0.303324	−	0.220378i
$566$	6.09266	+	18.7513i	0.256094	+	0.788175i
$567$	0.682848	+	2.10159i	0.0286769	+	0.0882584i
$568$	5.17134	+	3.75720i	0.216985	+	0.157649i
$569$	28.8548	−	20.9642i	1.20965	−	0.878866i	0.214455	−	0.976734i	$-0.431202\pi$
$569$	28.8548	−	20.9642i	1.20965	−	0.878866i	0.995199	+	0.0978683i	$0.0312024\pi$
$570$	−0.194594	+	0.598898i	−0.00815064	+	0.0250851i
$571$	29.5199			1.23537			0.617684	−	0.786427i	$-0.288071\pi$
$571$	29.5199			1.23537			0.617684	+	0.786427i	$0.288071\pi$
$572$	3.95194	+	10.8377i	0.165239	+	0.453147i
$573$	11.9744			0.500239
$574$	3.76593	−	11.5903i	0.157187	−	0.483771i
$575$	−1.22201	+	0.887839i	−0.0509612	+	0.0370254i
$576$	1.21895	+	0.885617i	0.0507895	+	0.0369007i
$577$	−9.61674	−	29.5973i	−0.400350	−	1.23215i	−0.924716	−	0.380658i	$-0.875698\pi$
$577$	−9.61674	−	29.5973i	−0.400350	−	1.23215i	0.524366	−	0.851493i	$-0.324302\pi$
$578$	−5.24739	−	16.1498i	−0.218263	−	0.671744i
$579$	−14.2868	−	10.3800i	−0.593740	−	0.431377i
$580$	7.47582	−	5.43150i	0.310417	−	0.225531i
$581$	−0.681184	+	2.09647i	−0.0282603	+	0.0869761i
$582$	−5.38995			−0.223420
$583$	−3.82638	−	2.57760i	−0.158472	−	0.106753i
$584$	−11.0649			−0.457869
$585$	1.61942	−	4.98406i	0.0669548	−	0.206066i
$586$	−5.60545	+	4.07260i	−0.231559	+	0.168237i
$587$	29.5753	+	21.4877i	1.22070	+	0.886892i	0.996158	−	0.0875720i	$-0.0279108\pi$
$587$	29.5753	+	21.4877i	1.22070	+	0.886892i	0.224544	+	0.974464i	$0.427911\pi$
$588$	0.377620	+	1.16220i	0.0155728	+	0.0479282i
$589$	1.63424	+	5.02966i	0.0673375	+	0.207244i
$590$	7.52800	+	5.46941i	0.309923	+	0.225172i
$591$	−22.4368	+	16.3013i	−0.922926	+	0.670545i
$592$	0.515623	−	1.58693i	0.0211920	−	0.0652222i
$593$	−4.49251			−0.184485			−0.0922427	−	0.995737i	$-0.529404\pi$
$593$	−4.49251			−0.184485			−0.0922427	+	0.995737i	$0.529404\pi$
$594$	−5.02412	+	17.5608i	−0.206142	+	0.720528i
$595$	−0.138127			−0.00566264
$596$	5.28536	−	16.2667i	0.216497	−	0.666308i
$597$	−9.33155	+	6.77977i	−0.381915	+	0.277477i
$598$	−4.25033	−	3.08805i	−0.173809	−	0.126280i
$599$	−1.55851	−	4.79659i	−0.0636789	−	0.195983i	0.914155	−	0.405364i	$-0.132855\pi$
$599$	−1.55851	−	4.79659i	−0.0636789	−	0.195983i	−0.977834	+	0.209381i	$0.932855\pi$
$600$	0.377620	+	1.16220i	0.0154163	+	0.0474465i
$601$	22.2692	+	16.1795i	0.908380	+	0.659977i	0.940605	−	0.339504i	$-0.110259\pi$
$601$	22.2692	+	16.1795i	0.908380	+	0.659977i	−0.0322244	+	0.999481i	$0.510259\pi$
$602$	−8.62900	+	6.26933i	−0.351692	+	0.255519i
$603$	0.861256	−	2.65067i	0.0350731	−	0.107944i
$604$	3.21272			0.130724
$605$	−2.64838	+	10.6764i	−0.107672	+	0.434058i
$606$	15.3744			0.624542
$607$	−1.06342	+	3.27286i	−0.0431627	+	0.132841i	−0.970316	−	0.241842i	$-0.922248\pi$
$607$	−1.06342	+	3.27286i	−0.0431627	+	0.132841i	0.927153	+	0.374683i	$0.122248\pi$
$608$	−0.416899	+	0.302895i	−0.0169075	+	0.0122840i
$609$	9.13549	+	6.63733i	0.370189	+	0.268958i
$610$	−4.17847	−	12.8600i	−0.169181	−	0.520687i
$611$	−1.94210	−	5.97717i	−0.0785690	−	0.241810i
$612$	−0.168369	−	0.122327i	−0.00680592	−	0.00494479i
$613$	8.99258	−	6.53349i	0.363207	−	0.263885i	−0.391181	−	0.920314i	$-0.627934\pi$
$613$	8.99258	−	6.53349i	0.363207	−	0.263885i	0.754389	+	0.656428i	$0.227934\pi$
$614$	−6.37624	+	19.6241i	−0.257324	+	0.791963i
$615$	14.8923			0.600517
$616$	−0.912280	+	3.18869i	−0.0367568	+	0.128476i
$617$	−10.7522			−0.432869			−0.216434	−	0.976297i	$-0.569443\pi$
$617$	−10.7522			−0.432869			−0.216434	+	0.976297i	$0.569443\pi$
$618$	−1.12709	+	3.46881i	−0.0453380	+	0.139536i
$619$	−8.20266	+	5.95958i	−0.329693	+	0.239536i	−0.740300	−	0.672276i	$-0.765317\pi$
$619$	−8.20266	+	5.95958i	−0.329693	+	0.239536i	0.410607	+	0.911812i	$0.365317\pi$
$620$	8.30265	+	6.03223i	0.333442	+	0.242260i
$621$	−2.57057	−	7.91141i	−0.103154	−	0.317474i
$622$	−6.25325	−	19.2455i	−0.250733	−	0.771676i
$623$	1.40902	+	1.02371i	0.0564512	+	0.0410142i
$624$	−3.43859	+	2.49828i	−0.137654	+	0.100011i
$625$	0.309017	−	0.951057i	0.0123607	−	0.0380423i
$626$	−4.40784			−0.176173
$627$	−1.73218	−	1.16686i	−0.0691765	−	0.0466000i
$628$	2.74824			0.109667
$629$	−0.0712213	+	0.219197i	−0.00283978	+	0.00873994i
$630$	1.21895	−	0.885617i	0.0485640	−	0.0352838i
$631$	2.10545	+	1.52970i	0.0838166	+	0.0608963i	0.628904	−	0.777483i	$-0.283504\pi$
$631$	2.10545	+	1.52970i	0.0838166	+	0.0608963i	−0.545088	+	0.838379i	$0.683504\pi$
$632$	3.08608	+	9.49797i	0.122758	+	0.377809i
$633$	4.21045	+	12.9584i	0.167350	+	0.515052i
$634$	−21.0329	−	15.2813i	−0.835325	−	0.606899i
$635$	10.2525	−	7.44886i	0.406857	−	0.295599i
$636$	0.525288	−	1.61667i	0.0208290	−	0.0641052i
$637$	3.47816			0.137810
$638$	10.4993	+	28.7931i	0.415672	+	1.13993i
$639$	9.63104			0.380998
$640$	−0.309017	+	0.951057i	−0.0122150	+	0.0375938i
$641$	9.86328	−	7.16609i	0.389576	−	0.283044i	−0.375706	−	0.926739i	$-0.622600\pi$
$641$	9.86328	−	7.16609i	0.389576	−	0.283044i	0.765282	+	0.643695i	$0.222600\pi$
$642$	−13.1266	−	9.53704i	−0.518066	−	0.376397i
$643$	−3.74244	−	11.5181i	−0.147588	−	0.454228i	0.849747	−	0.527190i	$-0.176755\pi$
$643$	−3.74244	−	11.5181i	−0.147588	−	0.454228i	−0.997335	+	0.0729628i	$0.976755\pi$
$644$	−0.466765	−	1.43655i	−0.0183931	−	0.0566081i
$645$	−10.5447	−	7.66116i	−0.415196	−	0.301658i
$646$	0.0575848	−	0.0418378i	0.00226565	−	0.00164609i
$647$	−1.52010	+	4.67839i	−0.0597614	+	0.183927i	−0.976481	−	0.215606i	$-0.930827\pi$
$647$	−1.52010	+	4.67839i	−0.0597614	+	0.183927i	0.916719	+	0.399532i	$0.130827\pi$
$648$	−2.20974			−0.0868068
$649$	−24.3079	+	19.0148i	−0.954169	+	0.746397i
$650$	3.47816			0.136425
$651$	−3.87538	+	11.9272i	−0.151888	+	0.467464i
$652$	10.1290	−	7.35913i	0.396681	−	0.288206i
$653$	10.7200	+	7.78852i	0.419505	+	0.304788i	0.777439	−	0.628959i	$-0.216519\pi$
$653$	10.7200	+	7.78852i	0.419505	+	0.304788i	−0.357934	+	0.933747i	$0.616519\pi$
$654$	0.189845	+	0.584284i	0.00742354	+	0.0228473i
$655$	−4.68152	−	14.4082i	−0.182922	−	0.562976i
$656$	9.85932	+	7.16322i	0.384942	+	0.279677i
$657$	−13.4875	+	9.79928i	−0.526199	+	0.382306i
$658$	0.558370	−	1.71848i	0.0217675	−	0.0669935i
$659$	30.5268			1.18916			0.594579	−	0.804038i	$-0.297319\pi$
$659$	30.5268			1.18916			0.594579	+	0.804038i	$0.297319\pi$
$660$	−4.05038	+	0.143866i	−0.157661	+	0.00559997i
$661$	−2.30028			−0.0894707			−0.0447353	−	0.998999i	$-0.514244\pi$
$661$	−2.30028			−0.0894707			−0.0447353	+	0.998999i	$0.514244\pi$
$662$	−6.12530	+	18.8517i	−0.238067	+	0.732694i
$663$	0.474961	−	0.345079i	0.0184460	−	0.0134018i
$664$	−1.78336	−	1.29569i	−0.0692079	−	0.0502824i
$665$	0.159241	+	0.490094i	0.00617511	+	0.0190050i
$666$	−0.776891	−	2.39102i	−0.0301039	−	0.0926503i
$667$	−11.2921	−	8.20419i	−0.437232	−	0.317667i
$668$	−13.7804	+	10.0121i	−0.533180	+	0.387378i
$669$	−1.50218	+	4.62322i	−0.0580775	+	0.178744i
$670$	1.84979			0.0714636
$671$	44.8186	−	1.59191i	1.73020	−	0.0614551i
$672$	−1.22201			−0.0471399
$673$	−7.72469	+	23.7742i	−0.297765	+	0.916427i	0.684514	+	0.729000i	$0.260015\pi$
$673$	−7.72469	+	23.7742i	−0.297765	+	0.916427i	−0.982279	+	0.187427i	$0.939985\pi$
$674$	−24.5812	+	17.8593i	−0.946831	+	0.687913i
$675$	4.45543	+	3.23706i	0.171490	+	0.124594i
$676$	−0.278853	−	0.858222i	−0.0107251	−	0.0330085i
$677$	5.13075	+	15.7908i	0.197191	+	0.606891i	0.999944	+	0.0105797i	$0.00336768\pi$
$677$	5.13075	+	15.7908i	0.197191	+	0.606891i	−0.802753	+	0.596312i	$0.796632\pi$
$678$	8.81057	+	6.40126i	0.338368	+	0.245839i
$679$	−3.56836	+	2.59257i	−0.136941	+	0.0994936i
$680$	0.0426835	−	0.131366i	0.00163684	−	0.00503766i
$681$	26.5600			1.01778
$682$	−26.8093	+	20.9715i	−1.02658	+	0.803040i
$683$	13.6055			0.520598			0.260299	−	0.965528i	$-0.416179\pi$
$683$	13.6055			0.520598			0.260299	+	0.965528i	$0.416179\pi$
$684$	−0.239929	+	0.738426i	−0.00917392	+	0.0282344i
$685$	17.7058	−	12.8640i	0.676503	−	0.491508i
$686$	0.809017	+	0.587785i	0.0308884	+	0.0224417i
$687$	0.621631	+	1.91318i	0.0237167	+	0.0729926i
$688$	−3.29598	−	10.1440i	−0.125658	−	0.386736i
$689$	−3.91426	−	2.84388i	−0.149121	−	0.108343i
$690$	1.49330	−	1.08494i	0.0568489	−	0.0413031i
$691$	−8.76691	+	26.9818i	−0.333509	+	1.02644i	0.633943	+	0.773380i	$0.281436\pi$
$691$	−8.76691	+	26.9818i	−0.333509	+	1.02644i	−0.967452	+	0.253056i	$0.918564\pi$
$692$	9.38603			0.356803
$693$	1.71194	+	4.69478i	0.0650311	+	0.178340i
$694$	−16.6544			−0.632194
$695$	−0.764415	+	2.35263i	−0.0289959	+	0.0892403i
$696$	−9.13549	+	6.63733i	−0.346280	+	0.251587i
$697$	−1.36183	−	0.989430i	−0.0515831	−	0.0374773i
$698$	−0.526523	−	1.62047i	−0.0199292	−	0.0613357i
$699$	−0.421612	−	1.29759i	−0.0159468	−	0.0490793i
$700$	0.809017	+	0.587785i	0.0305780	+	0.0222162i
$701$	−17.6891	+	12.8519i	−0.668107	+	0.485408i	−0.869391	−	0.494125i	$-0.835489\pi$
$701$	−17.6891	+	12.8519i	−0.668107	+	0.485408i	0.201284	+	0.979533i	$0.435489\pi$
$702$	−5.91922	+	18.2175i	−0.223406	+	0.687574i
$703$	0.859852			0.0324299
$704$	−2.75071	−	1.85299i	−0.103671	−	0.0698372i
$705$	2.20807			0.0831607
$706$	3.31938	−	10.2160i	0.124926	−	0.384484i
$707$	10.1785	−	7.39509i	0.382800	−	0.278121i
$708$	−9.19926	−	6.68365i	−0.345729	−	0.251187i
$709$	11.6326	+	35.8014i	0.436871	+	1.34455i	0.891157	+	0.453694i	$0.149894\pi$
$709$	11.6326	+	35.8014i	0.436871	+	1.34455i	−0.454287	+	0.890856i	$0.650106\pi$
$710$	1.97528	+	6.07928i	0.0741308	+	0.228151i
$711$	12.1733	+	8.84445i	0.456536	+	0.331693i
$712$	−1.40902	+	1.02371i	−0.0528052	+	0.0383652i
$713$	4.79024	−	14.7428i	0.179396	−	0.552123i
$714$	0.168791			0.00631686
$715$	−3.17306	+	11.0908i	−0.118666	+	0.414772i
$716$	−11.1233			−0.415698
$717$	6.53728	−	20.1197i	0.244139	−	0.751383i
$718$	13.1711	−	9.56937i	0.491542	−	0.357126i
$719$	−7.21611	−	5.24281i	−0.269115	−	0.195524i	0.445041	−	0.895510i	$-0.353189\pi$
$719$	−7.21611	−	5.24281i	−0.269115	−	0.195524i	−0.714156	+	0.699987i	$0.753189\pi$
$720$	0.465597	+	1.43296i	0.0173518	+	0.0534032i
$721$	0.922325	+	2.83862i	0.0343492	+	0.105716i
$722$	15.1565	+	11.0118i	0.564066	+	0.409818i
$723$	23.4822	−	17.0608i	0.873313	−	0.634499i
$724$	2.95929	−	9.10776i	0.109981	−	0.338487i
$725$	9.24062			0.343188
$726$	3.23634	−	13.0467i	0.120112	−	0.484207i
$727$	−21.9240			−0.813116			−0.406558	−	0.913625i	$-0.633271\pi$
$727$	−21.9240			−0.813116			−0.406558	+	0.913625i	$0.633271\pi$
$728$	−1.07481	+	3.30793i	−0.0398352	+	0.122600i
$729$	−19.0272	+	13.8241i	−0.704713	+	0.512004i
$730$	−8.95170	−	6.50379i	−0.331317	−	0.240716i
$731$	0.455263	+	1.40115i	0.0168385	+	0.0518236i
$732$	5.10612	+	15.7150i	0.188728	+	0.580844i
$733$	24.2387	+	17.6104i	0.895275	+	0.650455i	0.937248	−	0.348663i	$-0.113364\pi$
$733$	24.2387	+	17.6104i	0.895275	+	0.650455i	−0.0419730	+	0.999119i	$0.513364\pi$
$734$	17.0660	−	12.3992i	0.629917	−	0.457662i
$735$	−0.377620	+	1.16220i	−0.0139287	+	0.0428683i
$736$	1.51048			0.0556771
$737$	−1.68753	+	5.89841i	−0.0621609	+	0.217271i
$738$	18.3619			0.675910
$739$	7.75724	−	23.8743i	0.285355	−	0.878232i	−0.700937	−	0.713223i	$-0.747235\pi$
$739$	7.75724	−	23.8743i	0.285355	−	0.878232i	0.986292	−	0.165009i	$-0.0527653\pi$
$740$	1.34992	−	0.980774i	0.0496240	−	0.0360540i
$741$	−1.77196	−	1.28740i	−0.0650946	−	0.0472940i
$742$	−0.429858	−	1.32297i	−0.0157806	−	0.0485676i
$743$	−11.3931	−	35.0644i	−0.417973	−	1.28639i	−0.909565	−	0.415562i	$-0.863585\pi$
$743$	−11.3931	−	35.0644i	−0.417973	−	1.28639i	0.491592	−	0.870826i	$-0.336415\pi$
$744$	−10.1459	−	7.37142i	−0.371966	−	0.270249i
$745$	13.8372	−	10.0533i	0.506958	−	0.368326i
$746$	−4.30569	+	13.2515i	−0.157642	+	0.485174i
$747$	−3.32131			−0.121520
$748$	0.379947	+	0.255947i	0.0138922	+	0.00935835i
$749$	−13.2777			−0.485155
$750$	−0.377620	+	1.16220i	−0.0137888	+	0.0424374i
$751$	−24.6125	+	17.8820i	−0.898123	+	0.652524i	−0.937983	−	0.346681i	$-0.887309\pi$
$751$	−24.6125	+	17.8820i	−0.898123	+	0.652524i	0.0398605	+	0.999205i	$0.487309\pi$
$752$	1.46183	+	1.06208i	0.0533075	+	0.0387301i
$753$	4.57885	+	14.0923i	0.166863	+	0.513551i
$754$	9.93192	+	30.5673i	0.361699	+	1.11320i
$755$	2.59914	+	1.88839i	0.0945925	+	0.0687255i
$756$	−4.45543	+	3.23706i	−0.162042	+	0.117731i
$757$	−3.72056	+	11.4507i	−0.135226	+	0.416183i	−0.995625	−	0.0934377i	$-0.970214\pi$
$757$	−3.72056	+	11.4507i	−0.135226	+	0.416183i	0.860399	+	0.509621i	$0.170214\pi$
$758$	22.1451			0.804346
$759$	2.09724	+	5.75144i	0.0761252	+	0.208764i
$760$	−0.515316			−0.0186925
$761$	−3.53615	+	10.8832i	−0.128185	+	0.394514i	−0.994468	−	0.105040i	$-0.966503\pi$
$761$	−3.53615	+	10.8832i	−0.128185	+	0.394514i	0.866283	+	0.499554i	$0.166503\pi$
$762$	−12.5286	+	9.10255i	−0.453863	+	0.329750i
$763$	0.406726	+	0.295504i	0.0147245	+	0.0106980i
$764$	3.02806	+	9.31940i	0.109551	+	0.337164i
$765$	−0.0643113	−	0.197930i	−0.00232518	−	0.00715616i
$766$	18.2167	+	13.2352i	0.658195	+	0.478207i
$767$	−26.1836	+	19.0235i	−0.945435	+	0.686899i
$768$	0.377620	−	1.16220i	0.0136262	−	0.0419371i
$769$	3.36501			0.121346			0.0606728	−	0.998158i	$-0.480675\pi$
$769$	3.36501			0.121346			0.0606728	+	0.998158i	$0.480675\pi$
$770$	−2.61232	+	2.04348i	−0.0941413	+	0.0736419i
$771$	−34.9609			−1.25909
$772$	4.46568	−	13.7439i	0.160723	−	0.494655i
$773$	2.58819	−	1.88043i	0.0930908	−	0.0676344i	−0.540266	−	0.841494i	$-0.681676\pi$
$773$	2.58819	−	1.88043i	0.0930908	−	0.0676344i	0.633357	+	0.773860i	$0.281676\pi$
$774$	−13.0013	−	9.44602i	−0.467323	−	0.339530i
$775$	3.17133	+	9.76035i	0.113918	+	0.350602i
$776$	−1.36299	−	4.19486i	−0.0489286	−	0.150587i
$777$	1.64961	+	1.19851i	0.0591794	+	0.0429963i
$778$	16.8553	−	12.2461i	0.604292	−	0.439044i
$779$	−1.94064	+	5.97268i	−0.0695307	+	0.213993i
$780$	−4.25033			−0.152186
$781$	−21.1869	+	0.752541i	−0.758128	+	0.0269280i
$782$	−0.208638			−0.00746087
$783$	−15.7259	+	48.3994i	−0.561998	+	1.72965i
$784$	−0.809017	+	0.587785i	−0.0288935	+	0.0209923i
$785$	2.22337	+	1.61537i	0.0793556	+	0.0576552i
$786$	5.72084	+	17.6069i	0.204056	+	0.628019i
$787$	−1.63135	−	5.02078i	−0.0581513	−	0.178971i	0.917762	−	0.397132i	$-0.129994\pi$
$787$	−1.63135	−	5.02078i	−0.0581513	−	0.178971i	−0.975913	+	0.218160i	$0.929994\pi$
$788$	−18.3606	−	13.3398i	−0.654070	−	0.475210i
$789$	30.1272	−	21.8887i	1.07256	−	0.779257i
$790$	−3.08608	+	9.49797i	−0.109798	+	0.337923i
$791$	8.91196			0.316873
$792$	−4.99402	+	0.177383i	−0.177455	+	0.00630303i
$793$	47.0311			1.67012
$794$	5.89805	−	18.1523i	0.209314	−	0.644202i
$795$	1.37522	−	0.999158i	0.0487741	−	0.0354365i
$796$	−7.63625	−	5.54806i	−0.270660	−	0.196646i
$797$	12.7171	+	39.1394i	0.450465	+	1.38639i	0.876378	+	0.481624i	$0.159953\pi$
$797$	12.7171	+	39.1394i	0.450465	+	1.38639i	−0.425914	+	0.904764i	$0.640047\pi$
$798$	−0.194594	−	0.598898i	−0.00688854	−	0.0212008i
$799$	−0.201918	−	0.146702i	−0.00714333	−	0.00518994i
$800$	−0.809017	+	0.587785i	−0.0286031	+	0.0207813i
$801$	−0.810903	+	2.49570i	−0.0286519	+	0.0881814i
$802$	30.1895			1.06603
$803$	28.9050	−	22.6109i	1.02004	−	0.797922i
$804$	−2.26045			−0.0797201
$805$	0.466765	−	1.43655i	0.0164513	−	0.0506319i
$806$	−28.8780	+	20.9811i	−1.01718	+	0.739027i
$807$	30.6953	+	22.3014i	1.08053	+	0.785048i
$808$	3.88783	+	11.9655i	0.136773	+	0.420945i
$809$	−3.48582	−	10.7282i	−0.122555	−	0.377185i	0.870893	−	0.491473i	$-0.163541\pi$
$809$	−3.48582	−	10.7282i	−0.122555	−	0.377185i	−0.993448	+	0.114288i	$0.963541\pi$
$810$	−1.78772	−	1.29885i	−0.0628140	−	0.0456370i
$811$	29.9511	−	21.7607i	1.05172	−	0.764123i	0.0791850	−	0.996860i	$-0.474768\pi$
$811$	29.9511	−	21.7607i	1.05172	−	0.764123i	0.972540	+	0.232737i	$0.0747682\pi$
$812$	−2.85551	+	8.78835i	−0.100209	+	0.308411i
$813$	10.3987			0.364700
$814$	1.89588	+	5.19922i	0.0664505	+	0.182232i
$815$	12.5201			0.438560
$816$	−0.0521594	+	0.160530i	−0.00182595	+	0.00561968i
$817$	4.44666	−	3.23069i	0.155569	−	0.113027i
$818$	23.8322	+	17.3151i	0.833274	+	0.605409i
$819$	1.61942	+	4.98406i	0.0565871	+	0.174157i
$820$	3.76593	+	11.5903i	0.131512	+	0.404752i
$821$	−40.2357	−	29.2330i	−1.40424	−	1.02024i	−0.994129	−	0.108200i	$-0.965491\pi$
$821$	−40.2357	−	29.2330i	−1.40424	−	1.02024i	−0.410107	−	0.912037i	$-0.634509\pi$
$822$	−21.6366	+	15.7199i	−0.754662	+	0.548294i
$823$	10.6808	−	32.8722i	0.372310	−	1.14585i	−0.572966	−	0.819579i	$-0.694207\pi$
$823$	10.6808	−	32.8722i	0.372310	−	1.14585i	0.945276	−	0.326273i	$-0.105793\pi$
$824$	−2.98471			−0.103977
$825$	−3.36139	−	2.26436i	−0.117029	−	0.0788350i
$826$	−9.30512			−0.323766
$827$	−7.91239	+	24.3518i	−0.275141	+	0.846796i	0.714041	+	0.700104i	$0.246863\pi$
$827$	−7.91239	+	24.3518i	−0.275141	+	0.846796i	−0.989182	+	0.146693i	$0.953137\pi$
$828$	1.84120	−	1.33771i	0.0639861	−	0.0464886i
$829$	9.77854	+	7.10453i	0.339623	+	0.246750i	0.744503	−	0.667619i	$-0.232687\pi$
$829$	9.77854	+	7.10453i	0.339623	+	0.246750i	−0.404880	+	0.914370i	$0.632687\pi$
$830$	−0.681184	−	2.09647i	−0.0236442	−	0.0727694i
$831$	−5.52815	−	17.0139i	−0.191769	−	0.590206i
$832$	−2.81389	−	2.04441i	−0.0975542	−	0.0708772i
$833$	0.111747	−	0.0811888i	0.00387180	−	0.00281302i
$834$	0.934120	−	2.87492i	0.0323459	−	0.0995505i
$835$	−17.0335			−0.589469
$836$	0.470112	−	1.64318i	0.0162592	−	0.0568306i
$837$	−56.5186			−1.95357
$838$	−6.33073	+	19.4840i	−0.218691	+	0.673063i
$839$	7.38276	−	5.36389i	0.254881	−	0.185182i	−0.453006	−	0.891507i	$-0.649648\pi$
$839$	7.38276	−	5.36389i	0.254881	−	0.185182i	0.707887	+	0.706325i	$0.249648\pi$
$840$	−0.988623	−	0.718277i	−0.0341107	−	0.0247829i
$841$	17.4252	+	53.6292i	0.600869	+	1.84928i
$842$	−0.807469	−	2.48513i	−0.0278272	−	0.0856434i
$843$	8.81704	+	6.40596i	0.303675	+	0.220633i
$844$	−9.02051	+	6.55378i	−0.310499	+	0.225590i
$845$	0.278853	−	0.858222i	0.00959284	−	0.0295237i
$846$	2.72249			0.0936013
$847$	−4.13286	−	10.1941i	−0.142007	−	0.350273i
$848$	1.39105			0.0477688
$849$	7.44526	−	22.9142i	0.255521	−	0.786412i
$850$	0.111747	−	0.0811888i	0.00383288	−	0.00278475i
$851$	−2.03903	−	1.48144i	−0.0698970	−	0.0507832i
$852$	−2.41380	−	7.42891i	−0.0826954	−	0.254510i
$853$	1.29358	+	3.98124i	0.0442914	+	0.136315i	0.970757	−	0.240065i	$-0.0771687\pi$
$853$	1.29358	+	3.98124i	0.0442914	+	0.136315i	−0.926465	+	0.376380i	$0.877169\pi$
$854$	10.9394	+	7.94793i	0.374338	+	0.271973i
$855$	−0.628143	+	0.456373i	−0.0214820	+	0.0156076i
$856$	4.10302	−	12.6278i	0.140238	−	0.431610i
$857$	−23.8579			−0.814971			−0.407485	−	0.913212i	$-0.633594\pi$
$857$	−23.8579			−0.814971			−0.407485	+	0.913212i	$0.633594\pi$
$858$	3.87750	−	13.5530i	0.132376	−	0.462692i
$859$	−11.8765			−0.405221			−0.202610	−	0.979259i	$-0.564943\pi$
$859$	−11.8765			−0.405221			−0.202610	+	0.979259i	$0.564943\pi$
$860$	3.29598	−	10.1440i	0.112392	−	0.345907i
$861$	−12.0481	+	8.75349i	−0.410600	+	0.298318i
$862$	7.99143	+	5.80611i	0.272189	+	0.197757i
$863$	5.21649	+	16.0547i	0.177571	+	0.546508i	0.999742	−	0.0227333i	$-0.00723686\pi$
$863$	5.21649	+	16.0547i	0.177571	+	0.546508i	−0.822170	+	0.569242i	$0.807237\pi$
$864$	−1.70182	−	5.23767i	−0.0578972	−	0.178189i
$865$	7.59346	+	5.51697i	0.258185	+	0.187583i
$866$	−15.7968	+	11.4770i	−0.536797	+	0.390006i
$867$	−6.41234	+	19.7352i	−0.217775	+	0.670241i
$868$	−10.2626			−0.348337
$869$	−27.4707	−	18.5054i	−0.931880	−	0.627751i
$870$	−11.2921			−0.382838
$871$	−1.98818	+	6.11897i	−0.0673667	+	0.207334i
$872$	−0.406726	+	0.295504i	−0.0137735	+	0.0100070i
$873$	−5.37646	−	3.90623i	−0.181966	−	0.132206i
$874$	0.240531	+	0.740279i	0.00813609	+	0.0250403i
$875$	0.309017	+	0.951057i	0.0104467	+	0.0321516i
$876$	10.9390	+	7.94767i	0.369595	+	0.268527i
$877$	7.14524	−	5.19132i	0.241278	−	0.175298i	−0.460575	−	0.887621i	$-0.652357\pi$
$877$	7.14524	−	5.19132i	0.241278	−	0.175298i	0.701852	+	0.712323i	$0.252357\pi$
$878$	1.04627	−	3.22007i	0.0353097	−	0.108672i
$879$	8.46693			0.285582
$880$	−1.13621	−	3.11593i	−0.0383018	−	0.105038i
$881$	−9.23255			−0.311052			−0.155526	−	0.987832i	$-0.549707\pi$
$881$	−9.23255			−0.311052			−0.155526	+	0.987832i	$0.549707\pi$
$882$	−0.465597	+	1.43296i	−0.0156775	+	0.0482502i
$883$	29.8292	−	21.6722i	1.00383	−	0.729327i	0.0409258	−	0.999162i	$-0.486969\pi$
$883$	29.8292	−	21.6722i	1.00383	−	0.729327i	0.962906	+	0.269835i	$0.0869693\pi$
$884$	0.388673	+	0.282388i	0.0130725	+	0.00949773i
$885$	−3.51380	−	10.8144i	−0.118115	−	0.363521i
$886$	−5.97902	−	18.4015i	−0.200869	−	0.618212i
$887$	24.3663	+	17.7031i	0.818140	+	0.594413i	0.916179	−	0.400769i	$-0.131257\pi$
$887$	24.3663	+	17.7031i	0.818140	+	0.594413i	−0.0980394	+	0.995183i	$0.531257\pi$
$888$	−1.64961	+	1.19851i	−0.0553573	+	0.0402194i
$889$	−3.91610	+	12.0525i	−0.131342	+	0.404228i
$890$	−1.74164			−0.0583800
$891$	5.77254	−	4.51556i	0.193387	−	0.151277i
$892$	−3.97800			−0.133193
$893$	−0.287737	+	0.885562i	−0.00962874	+	0.0296342i
$894$	−16.9092	+	12.2852i	−0.565528	+	0.410880i
$895$	−8.99896	−	6.53813i	−0.300802	−	0.218546i
$896$	−0.309017	−	0.951057i	−0.0103235	−	0.0317726i
$897$	1.98391	+	6.10583i	0.0662407	+	0.203868i
$898$	−26.8052	−	19.4751i	−0.894502	−	0.649894i
$899$	−76.7217	+	55.7415i	−2.55881	+	1.85908i
$900$	−0.465597	+	1.43296i	−0.0155199	+	0.0477653i
$901$	−0.192141			−0.00640114
$902$	−40.3935	+	1.43474i	−1.34496	+	0.0477716i
$903$	13.0339			0.433742
$904$	−2.75395	+	8.47578i	−0.0915949	+	0.281900i
$905$	7.74752	−	5.62890i	0.257536	−	0.187111i
$906$	−3.17617	−	2.30762i	−0.105521	−	0.0766656i
$907$	−15.3239	−	47.1621i	−0.508821	−	1.56599i	−0.794250	−	0.607591i	$-0.792136\pi$
$907$	−15.3239	−	47.1621i	−0.508821	−	1.56599i	0.285429	−	0.958400i	$-0.407864\pi$
$908$	6.71640	+	20.6710i	0.222892	+	0.685990i
$909$	15.3359	+	11.1422i	0.508660	+	0.369563i
$910$	−2.81389	+	2.04441i	−0.0932796	+	0.0677716i
$911$	−15.9361	+	49.0463i	−0.527987	+	1.62498i	0.230346	+	0.973109i	$0.426014\pi$
$911$	−15.9361	+	49.0463i	−0.527987	+	1.62498i	−0.758333	+	0.651868i	$0.773986\pi$
$912$	0.629719			0.0208521
$913$	7.30641	−	0.259517i	0.241807	−	0.00858876i
$914$	−12.6845			−0.419567
$915$	−5.10612	+	15.7150i	−0.168803	+	0.519522i
$916$	−1.33179	+	0.967601i	−0.0440035	+	0.0319704i
$917$	12.2564	+	8.90478i	0.404741	+	0.294062i
$918$	0.235067	+	0.723462i	0.00775837	+	0.0238778i
$919$	9.00321	+	27.7090i	0.296988	+	0.914037i	0.982546	+	0.186018i	$0.0595584\pi$
$919$	9.00321	+	27.7090i	0.296988	+	0.914037i	−0.685558	+	0.728018i	$0.740442\pi$
$920$	1.22201	+	0.887839i	0.0402883	+	0.0292712i
$921$	20.3992	−	14.8209i	0.672177	−	0.488365i
$922$	6.01399	−	18.5092i	0.198060	−	0.609567i
$923$	−22.2329			−0.731804
$924$	3.19226	−	2.49714i	0.105018	−	0.0821500i
$925$	1.66859			0.0548630
$926$	9.15929	−	28.1894i	0.300993	−	0.926361i
$927$	−3.63820	+	2.64331i	−0.119494	+	0.0868176i
$928$	−7.47582	−	5.43150i	−0.245406	−	0.178298i
$929$	−13.9133	−	42.8208i	−0.456481	−	1.40490i	−0.869388	−	0.494130i	$-0.835487\pi$
$929$	−13.9133	−	42.8208i	−0.456481	−	1.40490i	0.412907	−	0.910773i	$-0.364513\pi$
$930$	−3.87538	−	11.9272i	−0.127079	−	0.391108i
$931$	−0.416899	−	0.302895i	−0.0136633	−	0.00992698i
$932$	0.903264	−	0.656260i	0.0295874	−	0.0214965i
$933$	−7.64151	+	23.5181i	−0.250172	+	0.769950i
$934$	26.8009			0.876953
$935$	0.156941	+	0.430393i	0.00513253	+	0.0140753i
$936$	−5.24056			−0.171293
$937$	−2.13172	+	6.56074i	−0.0696401	+	0.214330i	−0.979820	−	0.199884i	$-0.935944\pi$
$937$	−2.13172	+	6.56074i	−0.0696401	+	0.214330i	0.910179	+	0.414214i	$0.135944\pi$
$938$	−1.49651	+	1.08728i	−0.0488628	+	0.0355009i
$939$	4.35769	+	3.16605i	0.142208	+	0.103320i
$940$	0.558370	+	1.71848i	0.0182120	+	0.0560508i
$941$	−2.12907	−	6.55261i	−0.0694057	−	0.213609i	0.910338	−	0.413867i	$-0.135822\pi$
$941$	−2.12907	−	6.55261i	−0.0694057	−	0.213609i	−0.979743	+	0.200258i	$0.935822\pi$
$942$	−2.71697	−	1.97400i	−0.0885238	−	0.0643163i
$943$	14.8923	−	10.8199i	0.484961	−	0.352345i
$944$	2.87544	−	8.84969i	0.0935876	−	0.288033i
$945$	−5.50722			−0.179150
$946$	29.3392	+	19.7640i	0.953899	+	0.642584i
$947$	34.2294			1.11231			0.556154	−	0.831079i	$-0.312277\pi$
$947$	34.2294			1.11231			0.556154	+	0.831079i	$0.312277\pi$
$948$	3.77120	−	11.6066i	0.122483	−	0.376964i
$949$	31.1355	−	22.6212i	1.01070	−	0.734316i
$950$	−0.416899	−	0.302895i	−0.0135260	−	0.00982721i
$951$	9.81744	+	30.2150i	0.318352	+	0.979787i
$952$	0.0426835	+	0.131366i	0.00138338	+	0.00425760i
$953$	−46.8471	−	34.0364i	−1.51753	−	1.10255i	−0.962696	−	0.270584i	$-0.912783\pi$
$953$	−46.8471	−	34.0364i	−1.51753	−	1.10255i	−0.554830	−	0.831963i	$-0.687217\pi$
$954$	1.69562	−	1.23194i	0.0548976	−	0.0398854i
$955$	−3.02806	+	9.31940i	−0.0979856	+	0.301569i
$956$	17.3118			0.559903
$957$	10.3016	−	36.0070i	0.333002	−	1.16394i
$958$	13.3413			0.431039
$959$	−6.76301	+	20.8144i	−0.218389	+	0.672132i
$960$	0.988623	−	0.718277i	0.0319077	−	0.0231823i
$961$	−60.1276	−	43.6853i	−1.93960	−	1.40920i
$962$	1.79342	+	5.51958i	0.0578222	+	0.177959i
$963$	−6.18204	−	19.0264i	−0.199213	−	0.613116i
$964$	19.2161	+	13.9613i	0.618910	+	0.449664i
$965$	11.6913	−	8.49422i	0.376356	−	0.273439i
$966$	−0.570389	+	1.75548i	−0.0183520	+	0.0564815i
$967$	39.7063			1.27687			0.638435	−	0.769676i	$-0.279582\pi$
$967$	39.7063			1.27687			0.638435	+	0.769676i	$0.279582\pi$
$968$	10.9723	−	0.780435i	0.352662	−	0.0250841i
$969$	−0.0869809			−0.00279423
$970$	1.36299	−	4.19486i	0.0437631	−	0.134689i
$971$	6.17435	−	4.48593i	0.198144	−	0.143960i	−0.484289	−	0.874908i	$-0.660922\pi$
$971$	6.17435	−	4.48593i	0.198144	−	0.143960i	0.682433	+	0.730948i	$0.260922\pi$
$972$	−11.1817	−	8.12397i	−0.358653	−	0.260577i
$973$	−0.764415	−	2.35263i	−0.0245060	−	0.0754218i
$974$	−4.13210	−	12.7173i	−0.132401	−	0.407488i
$975$	−3.43859	−	2.49828i	−0.110123	−	0.0800091i
$976$	−10.9394	+	7.94793i	−0.350161	+	0.254407i
$977$	4.61353	−	14.1990i	0.147600	−	0.454265i	−0.849736	−	0.527208i	$-0.823239\pi$
$977$	4.61353	−	14.1990i	0.147600	−	0.454265i	0.997336	+	0.0729424i	$0.0232389\pi$
$978$	−15.2996			−0.489228
$979$	1.58887	−	5.55356i	0.0507804	−	0.177493i
$980$	−1.00000			−0.0319438
$981$	−0.234075	+	0.720408i	−0.00747343	+	0.0230008i
$982$	−21.0112	+	15.2655i	−0.670494	+	0.487142i
$983$	−1.04243	−	0.757367i	−0.0332482	−	0.0241562i	0.571037	−	0.820924i	$-0.306541\pi$
$983$	−1.04243	−	0.757367i	−0.0332482	−	0.0241562i	−0.604285	+	0.796768i	$0.706541\pi$
$984$	−4.60198	−	14.1634i	−0.146706	−	0.451514i
$985$	−7.01314	−	21.5842i	−0.223457	−	0.687730i
$986$	1.03261	+	0.750235i	0.0328850	+	0.0238923i
$987$	−1.78637	+	1.29787i	−0.0568606	+	0.0413117i
$988$	0.553867	−	1.70463i	0.0176209	−	0.0542314i
$989$	−16.1108			−0.512295
$990$	−4.14451	−	2.79190i	−0.131721	−	0.0887325i
$991$	30.8872			0.981163			0.490582	−	0.871395i	$-0.336784\pi$
$991$	30.8872			0.981163			0.490582	+	0.871395i	$0.336784\pi$
$992$	3.17133	−	9.76035i	0.100690	−	0.309891i
$993$	19.5964	−	14.2376i	0.621872	−	0.451817i
$994$	−5.17134	−	3.75720i	−0.164025	−	0.119171i
$995$	−2.91679	−	8.97696i	−0.0924685	−	0.284589i
$996$	0.832410	+	2.56189i	0.0263759	+	0.0811767i
$997$	36.3419	+	26.4039i	1.15096	+	0.836221i	0.988608	−	0.150512i	$-0.0480921\pi$
$997$	36.3419	+	26.4039i	1.15096	+	0.836221i	0.162352	+	0.986733i	$0.448092\pi$
$998$	18.2729	−	13.2761i	0.578419	−	0.420246i
$999$	−2.83965	+	8.73954i	−0.0898425	+	0.276507i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.n.k.141.2	yes	16
11.4	even	5		8470.2.a.dh.1.6		8
11.5	even	5	inner	770.2.n.k.71.2	✓	16
11.7	odd	10		8470.2.a.dg.1.6		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.n.k.71.2	✓	16	11.5	even	5	inner
770.2.n.k.141.2	yes	16	1.1	even	1	trivial
8470.2.a.dg.1.6		8	11.7	odd	10
8470.2.a.dh.1.6		8	11.4	even	5

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:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(-0.988623 + 0.718277i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.377620 + 1.16220i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.465597 + 1.43296i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(-0.988623 + 0.718277i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.377620 + 1.16220i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.465597 + 1.43296i) q^{9} -1.00000 q^{10} +(0.912280 - 3.18869i) q^{11} +1.22201 q^{12} +(1.07481 - 3.30793i) q^{13} +(0.809017 - 0.587785i) q^{14} +(0.988623 + 0.718277i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.0426835 - 0.131366i) q^{17} +(1.21895 + 0.885617i) q^{18} +(-0.416899 + 0.302895i) q^{19} +(-0.309017 + 0.951057i) q^{20} -1.22201 q^{21} +(-2.75071 - 1.85299i) q^{22} +1.51048 q^{23} +(0.377620 - 1.16220i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(-2.81389 - 2.04441i) q^{26} +(-1.70182 - 5.23767i) q^{27} +(-0.309017 - 0.951057i) q^{28} +(-7.47582 - 5.43150i) q^{29} +(0.988623 - 0.718277i) q^{30} +(3.17133 - 9.76035i) q^{31} +1.00000 q^{32} +(1.38846 + 3.80768i) q^{33} -0.138127 q^{34} +(0.309017 - 0.951057i) q^{35} +(1.21895 - 0.885617i) q^{36} +(-1.34992 - 0.980774i) q^{37} +(0.159241 + 0.490094i) q^{38} +(1.31343 + 4.04231i) q^{39} +(0.809017 + 0.587785i) q^{40} +(9.85932 - 7.16322i) q^{41} +(-0.377620 + 1.16220i) q^{42} -10.6660 q^{43} +(-2.61232 + 2.04348i) q^{44} +1.50670 q^{45} +(0.466765 - 1.43655i) q^{46} +(1.46183 - 1.06208i) q^{47} +(-0.988623 - 0.718277i) q^{48} +(0.309017 + 0.951057i) q^{49} +(0.309017 + 0.951057i) q^{50} +(0.136555 + 0.0992131i) q^{51} +(-2.81389 + 2.04441i) q^{52} +(0.429858 - 1.32297i) q^{53} -5.50722 q^{54} +(-3.31453 + 0.117729i) q^{55} -1.00000 q^{56} +(0.194594 - 0.598898i) q^{57} +(-7.47582 + 5.43150i) q^{58} +(-7.52800 - 5.46941i) q^{59} +(-0.377620 - 1.16220i) q^{60} +(4.17847 + 12.8600i) q^{61} +(-8.30265 - 6.03223i) q^{62} +(-1.21895 + 0.885617i) q^{63} +(0.309017 - 0.951057i) q^{64} -3.47816 q^{65} +(4.05038 - 0.143866i) q^{66} -1.84979 q^{67} +(-0.0426835 + 0.131366i) q^{68} +(-1.49330 + 1.08494i) q^{69} +(-0.809017 - 0.587785i) q^{70} +(-1.97528 - 6.07928i) q^{71} +(-0.465597 - 1.43296i) q^{72} +(8.95170 + 6.50379i) q^{73} +(-1.34992 + 0.980774i) q^{74} +(0.377620 - 1.16220i) q^{75} +0.515316 q^{76} +(2.61232 - 2.04348i) q^{77} +4.25033 q^{78} +(3.08608 - 9.49797i) q^{79} +(0.809017 - 0.587785i) q^{80} +(1.78772 + 1.29885i) q^{81} +(-3.76593 - 11.5903i) q^{82} +(0.681184 + 2.09647i) q^{83} +(0.988623 + 0.718277i) q^{84} +(-0.111747 + 0.0811888i) q^{85} +(-3.29598 + 10.1440i) q^{86} +11.2921 q^{87} +(1.13621 + 3.11593i) q^{88} +1.74164 q^{89} +(0.465597 - 1.43296i) q^{90} +(2.81389 - 2.04441i) q^{91} +(-1.22201 - 0.887839i) q^{92} +(3.87538 + 11.9272i) q^{93} +(-0.558370 - 1.71848i) q^{94} +(0.416899 + 0.302895i) q^{95} +(-0.988623 + 0.718277i) q^{96} +(-1.36299 + 4.19486i) q^{97} +1.00000 q^{98} +(4.14451 + 2.79190i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 4 q^{2} - 5 q^{3} - 4 q^{4} + 4 q^{5} + 5 q^{6} + 4 q^{7} - 4 q^{8} + q^{9}+O(q^{10}) \) 16 * q - 4 * q^2 - 5 * q^3 - 4 * q^4 + 4 * q^5 + 5 * q^6 + 4 * q^7 - 4 * q^8 + q^9	\( 16 q - 4 q^{2} - 5 q^{3} - 4 q^{4} + 4 q^{5} + 5 q^{6} + 4 q^{7} - 4 q^{8} + q^{9} - 16 q^{10} - 2 q^{11} + 8 q^{13} + 4 q^{14} + 5 q^{15} - 4 q^{16} - 13 q^{17} - 9 q^{18} + 15 q^{19} + 4 q^{20} - 2 q^{22} + 20 q^{23} + 5 q^{24} - 4 q^{25} - 7 q^{26} + 10 q^{27} + 4 q^{28} - 14 q^{29} + 5 q^{30} - 6 q^{31} + 16 q^{32} - 25 q^{33} + 12 q^{34} - 4 q^{35} - 9 q^{36} + 28 q^{37} - 20 q^{38} + 15 q^{39} + 4 q^{40} + 2 q^{41} - 5 q^{42} - 10 q^{43} + 3 q^{44} - 16 q^{45} - 10 q^{46} - 10 q^{47} - 5 q^{48} - 4 q^{49} - 4 q^{50} - 42 q^{51} - 7 q^{52} - 2 q^{53} - 3 q^{55} - 16 q^{56} + 21 q^{57} - 14 q^{58} + 7 q^{59} - 5 q^{60} + 4 q^{61} + 14 q^{62} + 9 q^{63} - 4 q^{64} + 2 q^{65} - 10 q^{66} + 66 q^{67} - 13 q^{68} - 64 q^{69} - 4 q^{70} + 2 q^{71} + q^{72} + 12 q^{73} + 28 q^{74} + 5 q^{75} + 10 q^{76} - 3 q^{77} + 70 q^{78} + 2 q^{79} + 4 q^{80} - 30 q^{81} - 13 q^{82} - 5 q^{83} + 5 q^{84} - 7 q^{85} + 5 q^{86} - 24 q^{87} - 2 q^{88} + 2 q^{89} - q^{90} + 7 q^{91} - 38 q^{93} + 25 q^{94} - 15 q^{95} - 5 q^{96} + 22 q^{97} + 16 q^{98} - 18 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 - 5 * q^3 - 4 * q^4 + 4 * q^5 + 5 * q^6 + 4 * q^7 - 4 * q^8 + q^9 - 16 * q^10 - 2 * q^11 + 8 * q^13 + 4 * q^14 + 5 * q^15 - 4 * q^16 - 13 * q^17 - 9 * q^18 + 15 * q^19 + 4 * q^20 - 2 * q^22 + 20 * q^23 + 5 * q^24 - 4 * q^25 - 7 * q^26 + 10 * q^27 + 4 * q^28 - 14 * q^29 + 5 * q^30 - 6 * q^31 + 16 * q^32 - 25 * q^33 + 12 * q^34 - 4 * q^35 - 9 * q^36 + 28 * q^37 - 20 * q^38 + 15 * q^39 + 4 * q^40 + 2 * q^41 - 5 * q^42 - 10 * q^43 + 3 * q^44 - 16 * q^45 - 10 * q^46 - 10 * q^47 - 5 * q^48 - 4 * q^49 - 4 * q^50 - 42 * q^51 - 7 * q^52 - 2 * q^53 - 3 * q^55 - 16 * q^56 + 21 * q^57 - 14 * q^58 + 7 * q^59 - 5 * q^60 + 4 * q^61 + 14 * q^62 + 9 * q^63 - 4 * q^64 + 2 * q^65 - 10 * q^66 + 66 * q^67 - 13 * q^68 - 64 * q^69 - 4 * q^70 + 2 * q^71 + q^72 + 12 * q^73 + 28 * q^74 + 5 * q^75 + 10 * q^76 - 3 * q^77 + 70 * q^78 + 2 * q^79 + 4 * q^80 - 30 * q^81 - 13 * q^82 - 5 * q^83 + 5 * q^84 - 7 * q^85 + 5 * q^86 - 24 * q^87 - 2 * q^88 + 2 * q^89 - q^90 + 7 * q^91 - 38 * q^93 + 25 * q^94 - 15 * q^95 - 5 * q^96 + 22 * q^97 + 16 * q^98 - 18 * q^99

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