LMFDB - Embedded newform 770.2.n.k.421.3

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			421.3
Root			$0.0652271 - 0.200748i$ of defining polynomial
Character	$\chi$	$=$	770.421
Dual form			770.2.n.k.631.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 + 0.587785i) q^{2} +(-0.0652271 - 0.200748i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.809017 + 0.587785i) q^{5} +(0.170767 + 0.124069i) q^{6} +(-0.309017 + 0.951057i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.39101 - 1.73717i) q^{9} +O(q^{10})$	\(q+(-0.809017 + 0.587785i) q^{2} +(-0.0652271 - 0.200748i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.809017 + 0.587785i) q^{5} +(0.170767 + 0.124069i) q^{6} +(-0.309017 + 0.951057i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.39101 - 1.73717i) q^{9} -1.00000 q^{10} +(-0.544486 - 3.27163i) q^{11} -0.211079 q^{12} +(0.310705 - 0.225740i) q^{13} +(-0.309017 - 0.951057i) q^{14} +(0.0652271 - 0.200748i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.71143 + 1.96997i) q^{17} +(-0.913283 + 2.81080i) q^{18} +(-1.48947 - 4.58411i) q^{19} +(0.809017 - 0.587785i) q^{20} +0.211079 q^{21} +(2.36351 + 2.32676i) q^{22} +0.683067 q^{23} +(0.170767 - 0.124069i) q^{24} +(0.309017 + 0.951057i) q^{25} +(-0.118679 + 0.365256i) q^{26} +(-1.01699 - 0.738888i) q^{27} +(0.809017 + 0.587785i) q^{28} +(0.496545 - 1.52821i) q^{29} +(0.0652271 + 0.200748i) q^{30} +(1.01752 - 0.739269i) q^{31} +1.00000 q^{32} +(-0.621258 + 0.322703i) q^{33} -3.35151 q^{34} +(-0.809017 + 0.587785i) q^{35} +(-0.913283 - 2.81080i) q^{36} +(0.264793 - 0.814950i) q^{37} +(3.89948 + 2.83314i) q^{38} +(-0.0655834 - 0.0476491i) q^{39} +(-0.309017 + 0.951057i) q^{40} +(2.97308 + 9.15021i) q^{41} +(-0.170767 + 0.124069i) q^{42} +9.55155 q^{43} +(-3.27976 - 0.493151i) q^{44} +2.95545 q^{45} +(-0.552613 + 0.401497i) q^{46} +(-2.33324 - 7.18097i) q^{47} +(-0.0652271 + 0.200748i) q^{48} +(-0.809017 - 0.587785i) q^{49} +(-0.809017 - 0.587785i) q^{50} +(0.218609 - 0.672809i) q^{51} +(-0.118679 - 0.365256i) q^{52} +(10.9530 - 7.95781i) q^{53} +1.25707 q^{54} +(1.48251 - 2.96684i) q^{55} -1.00000 q^{56} +(-0.823099 + 0.598017i) q^{57} +(0.496545 + 1.52821i) q^{58} +(2.24632 - 6.91346i) q^{59} +(-0.170767 - 0.124069i) q^{60} +(-3.14814 - 2.28726i) q^{61} +(-0.388657 + 1.19616i) q^{62} +(0.913283 + 2.81080i) q^{63} +(-0.809017 + 0.587785i) q^{64} +0.384053 q^{65} +(0.312928 - 0.626239i) q^{66} +4.97372 q^{67} +(2.71143 - 1.96997i) q^{68} +(-0.0445545 - 0.137125i) q^{69} +(0.309017 - 0.951057i) q^{70} +(-0.679927 - 0.493996i) q^{71} +(2.39101 + 1.73717i) q^{72} +(-3.19787 + 9.84204i) q^{73} +(0.264793 + 0.814950i) q^{74} +(0.170767 - 0.124069i) q^{75} -4.82002 q^{76} +(3.27976 + 0.493151i) q^{77} +0.0810656 q^{78} +(-2.72454 + 1.97949i) q^{79} +(-0.309017 - 0.951057i) q^{80} +(2.65785 - 8.18003i) q^{81} +(-7.78363 - 5.65514i) q^{82} +(8.51048 + 6.18323i) q^{83} +(0.0652271 - 0.200748i) q^{84} +(1.03567 + 3.18747i) q^{85} +(-7.72737 + 5.61426i) q^{86} -0.339174 q^{87} +(2.94325 - 1.52882i) q^{88} +15.0365 q^{89} +(-2.39101 + 1.73717i) q^{90} +(0.118679 + 0.365256i) q^{91} +(0.211079 - 0.649635i) q^{92} +(-0.214777 - 0.156044i) q^{93} +(6.10850 + 4.43808i) q^{94} +(1.48947 - 4.58411i) q^{95} +(-0.0652271 - 0.200748i) q^{96} +(-9.11528 + 6.62264i) q^{97} +1.00000 q^{98} +(-6.98523 - 6.87661i) 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 $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$1$	$1$

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 $

$2$	−0.809017	+	0.587785i	−0.572061	+	0.415627i
$2$	−0.809017	+	0.587785i	−0.572061	+	0.415627i
$3$	−0.0652271	−	0.200748i	−0.0376589	−	0.115902i	0.930460	−	0.366394i	$-0.119408\pi$
$3$	−0.0652271	−	0.200748i	−0.0376589	−	0.115902i	−0.968119	+	0.250492i	$0.919408\pi$
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	0.809017	+	0.587785i	0.361803	+	0.262866i
$5$	0.809017	+	0.587785i	0.361803	+	0.262866i
$6$	0.170767	+	0.124069i	0.0697152	+	0.0506511i
$7$	−0.309017	+	0.951057i	−0.116797	+	0.359466i
$7$	−0.309017	+	0.951057i	−0.116797	+	0.359466i
$8$	0.309017	+	0.951057i	0.109254	+	0.336249i
$9$	2.39101	−	1.73717i	0.797002	−	0.579056i
$10$	−1.00000			−0.316228
$11$	−0.544486	−	3.27163i	−0.164169	−	0.986432i
$11$	−0.544486	−	3.27163i	−0.164169	−	0.986432i
$12$	−0.211079			−0.0609333
$13$	0.310705	−	0.225740i	0.0861741	−	0.0626091i	−0.543864	−	0.839173i	$-0.683039\pi$
$13$	0.310705	−	0.225740i	0.0861741	−	0.0626091i	0.630038	+	0.776564i	$0.283039\pi$
$14$	−0.309017	−	0.951057i	−0.0825883	−	0.254181i
$15$	0.0652271	−	0.200748i	0.0168416	−	0.0518330i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	2.71143	+	1.96997i	0.657617	+	0.477787i	0.865857	−	0.500291i	$-0.166774\pi$
$17$	2.71143	+	1.96997i	0.657617	+	0.477787i	−0.208240	+	0.978078i	$0.566774\pi$
$18$	−0.913283	+	2.81080i	−0.215263	+	0.662511i
$19$	−1.48947	−	4.58411i	−0.341707	−	1.05167i	−0.963323	−	0.268345i	$-0.913523\pi$
$19$	−1.48947	−	4.58411i	−0.341707	−	1.05167i	0.621615	−	0.783323i	$-0.286477\pi$
$20$	0.809017	−	0.587785i	0.180902	−	0.131433i
$21$	0.211079			0.0460613
$22$	2.36351	+	2.32676i	0.503902	+	0.496067i
$23$	0.683067			0.142429			0.0712147	−	0.997461i	$-0.477312\pi$
$23$	0.683067			0.142429			0.0712147	+	0.997461i	$0.477312\pi$
$24$	0.170767	−	0.124069i	0.0348576	−	0.0253255i
$25$	0.309017	+	0.951057i	0.0618034	+	0.190211i
$26$	−0.118679	+	0.365256i	−0.0232748	+	0.0716325i
$27$	−1.01699	−	0.738888i	−0.195720	−	0.142199i
$28$	0.809017	+	0.587785i	0.152890	+	0.111081i
$29$	0.496545	−	1.52821i	0.0922062	−	0.283781i	−0.894309	−	0.447449i	$-0.852333\pi$
$29$	0.496545	−	1.52821i	0.0922062	−	0.283781i	0.986516	+	0.163668i	$0.0523325\pi$
$30$	0.0652271	+	0.200748i	0.0119088	+	0.0366515i
$31$	1.01752	−	0.739269i	0.182751	−	0.132777i	−0.492648	−	0.870228i	$-0.663971\pi$
$31$	1.01752	−	0.739269i	0.182751	−	0.132777i	0.675400	+	0.737452i	$0.263971\pi$
$32$	1.00000			0.176777
$33$	−0.621258	+	0.322703i	−0.108147	+	0.0561754i
$34$	−3.35151			−0.574779
$35$	−0.809017	+	0.587785i	−0.136749	+	0.0993538i
$36$	−0.913283	−	2.81080i	−0.152214	−	0.468466i
$37$	0.264793	−	0.814950i	0.0435318	−	0.133977i	−0.926929	−	0.375238i	$-0.877561\pi$
$37$	0.264793	−	0.814950i	0.0435318	−	0.133977i	0.970460	+	0.241261i	$0.0775610\pi$
$38$	3.89948	+	2.83314i	0.632579	+	0.459595i
$39$	−0.0655834	−	0.0476491i	−0.0105018	−	0.00762997i
$40$	−0.309017	+	0.951057i	−0.0488599	+	0.150375i
$41$	2.97308	+	9.15021i	0.464317	+	1.42902i	0.859839	+	0.510566i	$0.170564\pi$
$41$	2.97308	+	9.15021i	0.464317	+	1.42902i	−0.395521	+	0.918457i	$0.629436\pi$
$42$	−0.170767	+	0.124069i	−0.0263499	+	0.0191443i
$43$	9.55155			1.45660			0.728299	−	0.685259i	$-0.240311\pi$
$43$	9.55155			1.45660			0.728299	+	0.685259i	$0.240311\pi$
$44$	−3.27976	−	0.493151i	−0.494442	−	0.0743453i
$45$	2.95545			0.440572
$46$	−0.552613	+	0.401497i	−0.0814783	+	0.0591975i
$47$	−2.33324	−	7.18097i	−0.340338	−	1.04745i	−0.964033	−	0.265784i	$-0.914369\pi$
$47$	−2.33324	−	7.18097i	−0.340338	−	1.04745i	0.623695	−	0.781668i	$-0.285631\pi$
$48$	−0.0652271	+	0.200748i	−0.00941472	+	0.0289755i
$49$	−0.809017	−	0.587785i	−0.115574	−	0.0839693i
$50$	−0.809017	−	0.587785i	−0.114412	−	0.0831254i
$51$	0.218609	−	0.672809i	0.0306114	−	0.0942121i
$52$	−0.118679	−	0.365256i	−0.0164578	−	0.0506519i
$53$	10.9530	−	7.95781i	1.50451	−	1.09309i	0.535967	−	0.844239i	$-0.319947\pi$
$53$	10.9530	−	7.95781i	1.50451	−	1.09309i	0.968542	−	0.248850i	$-0.0800527\pi$
$54$	1.25707			0.171066
$55$	1.48251	−	2.96684i	0.199902	−	0.400049i
$56$	−1.00000			−0.133631
$57$	−0.823099	+	0.598017i	−0.109022	+	0.0792092i
$58$	0.496545	+	1.52821i	0.0651996	+	0.200664i
$59$	2.24632	−	6.91346i	0.292446	−	0.900056i	−0.691621	−	0.722260i	$-0.743103\pi$
$59$	2.24632	−	6.91346i	0.292446	−	0.900056i	0.984067	−	0.177796i	$-0.0568967\pi$
$60$	−0.170767	−	0.124069i	−0.0220459	−	0.0160173i
$61$	−3.14814	−	2.28726i	−0.403078	−	0.292853i	0.367716	−	0.929938i	$-0.380140\pi$
$61$	−3.14814	−	2.28726i	−0.403078	−	0.292853i	−0.770794	+	0.637085i	$0.780140\pi$
$62$	−0.388657	+	1.19616i	−0.0493595	+	0.151913i
$63$	0.913283	+	2.81080i	0.115063	+	0.354127i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	0.384053			0.0476359
$66$	0.312928	−	0.626239i	0.0385188	−	0.0770847i
$67$	4.97372			0.607637			0.303818	−	0.952730i	$-0.401738\pi$
$67$	4.97372			0.607637			0.303818	+	0.952730i	$0.401738\pi$
$68$	2.71143	−	1.96997i	0.328809	−	0.238893i
$69$	−0.0445545	−	0.137125i	−0.00536373	−	0.0165079i
$70$	0.309017	−	0.951057i	0.0369346	−	0.113673i
$71$	−0.679927	−	0.493996i	−0.0806924	−	0.0586265i	0.546708	−	0.837324i	$-0.315881\pi$
$71$	−0.679927	−	0.493996i	−0.0806924	−	0.0586265i	−0.627400	+	0.778697i	$0.715881\pi$
$72$	2.39101	+	1.73717i	0.281783	+	0.204727i
$73$	−3.19787	+	9.84204i	−0.374283	+	1.15192i	0.569679	+	0.821867i	$0.307068\pi$
$73$	−3.19787	+	9.84204i	−0.374283	+	1.15192i	−0.943961	+	0.330056i	$0.892932\pi$
$74$	0.264793	+	0.814950i	0.0307816	+	0.0947360i
$75$	0.170767	−	0.124069i	0.0197184	−	0.0143263i
$76$	−4.82002			−0.552894
$77$	3.27976	+	0.493151i	0.373763	+	0.0561998i
$78$	0.0810656			0.00917887
$79$	−2.72454	+	1.97949i	−0.306535	+	0.222710i	−0.730408	−	0.683011i	$-0.760670\pi$
$79$	−2.72454	+	1.97949i	−0.306535	+	0.222710i	0.423874	+	0.905721i	$0.360670\pi$
$80$	−0.309017	−	0.951057i	−0.0345492	−	0.106331i
$81$	2.65785	−	8.18003i	0.295317	−	0.908892i
$82$	−7.78363	−	5.65514i	−0.859558	−	0.624506i
$83$	8.51048	+	6.18323i	0.934147	+	0.678697i	0.947005	−	0.321220i	$-0.104093\pi$
$83$	8.51048	+	6.18323i	0.934147	+	0.678697i	−0.0128580	+	0.999917i	$0.504093\pi$
$84$	0.0652271	−	0.200748i	0.00711686	−	0.0219034i
$85$	1.03567	+	3.18747i	0.112334	+	0.345730i
$86$	−7.72737	+	5.61426i	−0.833264	+	0.605402i
$87$	−0.339174			−0.0363632
$88$	2.94325	−	1.52882i	0.313751	−	0.162973i
$89$	15.0365			1.59386			0.796931	−	0.604070i	$-0.206455\pi$
$89$	15.0365			1.59386			0.796931	+	0.604070i	$0.206455\pi$
$90$	−2.39101	+	1.73717i	−0.252034	+	0.183114i
$91$	0.118679	+	0.365256i	0.0124409	+	0.0382892i
$92$	0.211079	−	0.649635i	0.0220065	−	0.0677292i
$93$	−0.214777	−	0.156044i	−0.0222713	−	0.0161811i
$94$	6.10850	+	4.43808i	0.630043	+	0.457753i
$95$	1.48947	−	4.58411i	0.152816	−	0.470320i
$96$	−0.0652271	−	0.200748i	−0.00665721	−	0.0204888i
$97$	−9.11528	+	6.62264i	−0.925517	+	0.672427i	−0.944891	−	0.327385i	$-0.893833\pi$
$97$	−9.11528	+	6.62264i	−0.925517	+	0.672427i	0.0193744	+	0.999812i	$0.493833\pi$
$98$	1.00000			0.101015
$99$	−6.98523	−	6.87661i	−0.702042	−	0.691126i
$100$	1.00000			0.100000
$101$	−0.572777	+	0.416147i	−0.0569935	+	0.0414082i	−0.615917	−	0.787811i	$-0.711214\pi$
$101$	−0.572777	+	0.416147i	−0.0569935	+	0.0414082i	0.558924	+	0.829219i	$0.311214\pi$
$102$	0.218609	+	0.672809i	0.0216455	+	0.0666180i
$103$	0.186041	−	0.572575i	0.0183312	−	0.0564175i	−0.941473	−	0.337090i	$-0.890557\pi$
$103$	0.186041	−	0.572575i	0.0183312	−	0.0564175i	0.959804	+	0.280672i	$0.0905574\pi$
$104$	0.310705	+	0.225740i	0.0304671	+	0.0221357i
$105$	0.170767	+	0.124069i	0.0166651	+	0.0121079i
$106$	−4.18367	+	12.8760i	−0.406354	+	1.25063i
$107$	3.17674	+	9.77699i	0.307107	+	0.945178i	0.978883	+	0.204423i	$0.0655319\pi$
$107$	3.17674	+	9.77699i	0.307107	+	0.945178i	−0.671776	+	0.740755i	$0.734468\pi$
$108$	−1.01699	+	0.738888i	−0.0978601	+	0.0710995i
$109$	−2.65530			−0.254331			−0.127166	−	0.991881i	$-0.540588\pi$
$109$	−2.65530			−0.254331			−0.127166	+	0.991881i	$0.540588\pi$
$110$	0.544486	+	3.27163i	0.0519147	+	0.311937i
$111$	−0.180872			−0.0171676
$112$	0.809017	−	0.587785i	0.0764449	−	0.0555405i
$113$	3.16012	+	9.72586i	0.297279	+	0.914932i	0.982446	+	0.186546i	$0.0597292\pi$
$113$	3.16012	+	9.72586i	0.297279	+	0.914932i	−0.685167	+	0.728386i	$0.740271\pi$
$114$	0.314396	−	0.967611i	0.0294459	−	0.0906251i
$115$	0.552613	+	0.401497i	0.0515314	+	0.0374398i
$116$	−1.29997	−	0.944486i	−0.120699	−	0.0876933i
$117$	0.350749	−	1.07949i	0.0324267	−	0.0997992i
$118$	2.24632	+	6.91346i	0.206791	+	0.636436i
$119$	−2.71143	+	1.96997i	−0.248556	+	0.180586i
$120$	0.211079			0.0192688
$121$	−10.4071	+	3.56271i	−0.946097	+	0.323883i
$122$	3.89131			0.352303
$123$	1.64296	−	1.19368i	0.148141	−	0.107631i
$124$	−0.388657	−	1.19616i	−0.0349024	−	0.107419i
$125$	−0.309017	+	0.951057i	−0.0276393	+	0.0850651i
$126$	−2.39101	−	1.73717i	−0.213008	−	0.154759i
$127$	−17.0297	−	12.3728i	−1.51114	−	1.09791i	−0.965666	−	0.259785i	$-0.916348\pi$
$127$	−17.0297	−	12.3728i	−1.51114	−	1.09791i	−0.545478	−	0.838125i	$-0.683652\pi$
$128$	0.309017	−	0.951057i	0.0273135	−	0.0840623i
$129$	−0.623020	−	1.91746i	−0.0548539	−	0.168823i
$130$	−0.310705	+	0.225740i	−0.0272506	+	0.0197987i
$131$	12.9629			1.13257			0.566287	−	0.824208i	$-0.308379\pi$
$131$	12.9629			1.13257			0.566287	+	0.824208i	$0.308379\pi$
$132$	0.114930	+	0.690572i	0.0100033	+	0.0601066i
$133$	4.82002			0.417949
$134$	−4.02383	+	2.92348i	−0.347606	+	0.252550i
$135$	−0.388456	−	1.19555i	−0.0334330	−	0.102896i
$136$	−1.03567	+	3.18747i	−0.0888082	+	0.273323i
$137$	−10.0697	−	7.31608i	−0.860315	−	0.625055i	0.0676558	−	0.997709i	$-0.478448\pi$
$137$	−10.0697	−	7.31608i	−0.860315	−	0.625055i	−0.927971	+	0.372653i	$0.878448\pi$
$138$	0.116645	+	0.0847476i	0.00992949	+	0.00721420i
$139$	−3.71455	+	11.4322i	−0.315064	+	0.969667i	0.660664	+	0.750682i	$0.270275\pi$
$139$	−3.71455	+	11.4322i	−0.315064	+	0.969667i	−0.975728	+	0.218986i	$0.929725\pi$
$140$	0.309017	+	0.951057i	0.0261167	+	0.0803789i
$141$	−1.28938	+	0.936787i	−0.108585	+	0.0788917i
$142$	0.840435			0.0705278
$143$	−0.907713	−	0.893598i	−0.0759068	−	0.0747264i
$144$	−2.95545			−0.246287
$145$	1.29997	−	0.944486i	0.107957	−	0.0784353i
$146$	−3.19787	−	9.84204i	−0.264658	−	0.814533i
$147$	−0.0652271	+	0.200748i	−0.00537984	+	0.0165574i
$148$	−0.693238	−	0.503667i	−0.0569838	−	0.0414012i
$149$	−9.83995	−	7.14914i	−0.806120	−	0.585680i	0.106583	−	0.994304i	$-0.466009\pi$
$149$	−9.83995	−	7.14914i	−0.806120	−	0.585680i	−0.912703	+	0.408623i	$0.866009\pi$
$150$	−0.0652271	+	0.200748i	−0.00532577	+	0.0163910i
$151$	−6.26155	−	19.2711i	−0.509557	−	1.56826i	−0.792971	−	0.609259i	$-0.791467\pi$
$151$	−6.26155	−	19.2711i	−0.509557	−	1.56826i	0.283414	−	0.958998i	$-0.408533\pi$
$152$	3.89948	−	2.83314i	0.316289	−	0.229798i
$153$	9.90519			0.800787
$154$	−2.94325	+	1.52882i	−0.237173	+	0.123196i
$155$	1.25772			0.101023
$156$	−0.0655834	+	0.0476491i	−0.00525088	+	0.00381498i
$157$	−3.12070	−	9.60453i	−0.249059	−	0.766525i	−0.994942	−	0.100448i	$-0.967972\pi$
$157$	−3.12070	−	9.60453i	−0.249059	−	0.766525i	0.745883	−	0.666077i	$-0.232028\pi$
$158$	1.04068	−	3.20289i	0.0827921	−	0.254808i
$159$	−2.31195	−	1.67973i	−0.183349	−	0.133211i
$160$	0.809017	+	0.587785i	0.0639584	+	0.0464685i
$161$	−0.211079	+	0.649635i	−0.0166354	+	0.0511984i
$162$	2.65785	+	8.18003i	0.208821	+	0.642684i
$163$	−16.9786	+	12.3357i	−1.32987	+	0.966207i	−0.330118	+	0.943940i	$0.607089\pi$
$163$	−16.9786	+	12.3357i	−1.32987	+	0.966207i	−0.999752	+	0.0222674i	$0.992911\pi$
$164$	9.62110			0.751281
$165$	−0.692289	−	0.104094i	−0.0538946	−	0.00810370i
$166$	−10.5195			−0.816474
$167$	−17.6974	+	12.8579i	−1.36947	+	0.994977i	−0.371691	+	0.928357i	$0.621222\pi$
$167$	−17.6974	+	12.8579i	−1.36947	+	0.994977i	−0.997778	+	0.0666208i	$0.978778\pi$
$168$	0.0652271	+	0.200748i	0.00503238	+	0.0154881i
$169$	−3.97164	+	12.2235i	−0.305511	+	0.940266i
$170$	−2.71143	−	1.96997i	−0.207957	−	0.151089i
$171$	−11.5247	−	8.37318i	−0.881316	−	0.640313i
$172$	2.95159	−	9.08407i	0.225057	−	0.692654i
$173$	0.0669312	+	0.205993i	0.00508868	+	0.0156614i	0.953569	−	0.301176i	$-0.0973791\pi$
$173$	0.0669312	+	0.205993i	0.00508868	+	0.0156614i	−0.948480	+	0.316837i	$0.897379\pi$
$174$	0.274397	−	0.199361i	0.0208020	−	0.0151135i
$175$	−1.00000			−0.0755929
$176$	−1.48251	+	2.96684i	−0.111749	+	0.223634i
$177$	−1.53439			−0.115332
$178$	−12.1648	+	8.83821i	−0.911787	+	0.662452i
$179$	−5.27160	−	16.2243i	−0.394018	−	1.21266i	−0.929724	−	0.368257i	$-0.879955\pi$
$179$	−5.27160	−	16.2243i	−0.394018	−	1.21266i	0.535706	−	0.844404i	$-0.320045\pi$
$180$	0.913283	−	2.81080i	0.0680721	−	0.209504i
$181$	−2.79721	−	2.03229i	−0.207915	−	0.151059i	0.478955	−	0.877839i	$-0.341016\pi$
$181$	−2.79721	−	2.03229i	−0.207915	−	0.151059i	−0.686870	+	0.726781i	$0.741016\pi$
$182$	−0.310705	−	0.225740i	−0.0230310	−	0.0167330i
$183$	−0.253819	+	0.781175i	−0.0187628	+	0.0577461i
$184$	0.211079	+	0.649635i	0.0155610	+	0.0478917i
$185$	0.693238	−	0.503667i	0.0509679	−	0.0370303i
$186$	0.265479			0.0194658
$187$	4.96866	−	9.94339i	0.363344	−	0.727132i
$188$	−7.55052			−0.550678
$189$	1.01699	−	0.738888i	0.0739753	−	0.0537462i
$190$	1.48947	+	4.58411i	0.108057	+	0.332566i
$191$	0.914194	−	2.81360i	0.0661488	−	0.203585i	−0.912519	−	0.409034i	$-0.865866\pi$
$191$	0.914194	−	2.81360i	0.0661488	−	0.203585i	0.978668	+	0.205449i	$0.0658656\pi$
$192$	0.170767	+	0.124069i	0.0123240	+	0.00895393i
$193$	7.66634	+	5.56992i	0.551835	+	0.400932i	0.828462	−	0.560046i	$-0.189216\pi$
$193$	7.66634	+	5.56992i	0.551835	+	0.400932i	−0.276626	+	0.960978i	$0.589216\pi$
$194$	3.48173	−	10.7157i	0.249973	−	0.769339i
$195$	−0.0250506	−	0.0770979i	−0.00179391	−	0.00552110i
$196$	−0.809017	+	0.587785i	−0.0577869	+	0.0419847i
$197$	5.06389			0.360787			0.180394	−	0.983594i	$-0.442263\pi$
$197$	5.06389			0.360787			0.180394	+	0.983594i	$0.442263\pi$
$198$	9.69314	+	1.45748i	0.688862	+	0.103579i
$199$	−21.7104			−1.53901			−0.769506	−	0.638639i	$-0.779498\pi$
$199$	−21.7104			−1.53901			−0.769506	+	0.638639i	$0.779498\pi$
$200$	−0.809017	+	0.587785i	−0.0572061	+	0.0415627i
$201$	−0.324421	−	0.998466i	−0.0228829	−	0.0704264i
$202$	0.218782	−	0.673340i	0.0153934	−	0.0473761i
$203$	1.29997	+	0.944486i	0.0912402	+	0.0662899i
$204$	−0.572326	−	0.415819i	−0.0400708	−	0.0291132i
$205$	−2.97308	+	9.15021i	−0.207649	+	0.639078i
$206$	0.186041	+	0.572575i	0.0129621	+	0.0398932i
$207$	1.63322	−	1.18660i	0.113516	−	0.0824745i
$208$	−0.384053			−0.0266293
$209$	−14.1865	+	7.36897i	−0.981301	+	0.509722i
$210$	−0.211079			−0.0145659
$211$	−12.9426	+	9.40333i	−0.891004	+	0.647352i	−0.936140	−	0.351629i	$-0.885628\pi$
$211$	−12.9426	+	9.40333i	−0.891004	+	0.647352i	0.0451358	+	0.998981i	$0.485628\pi$
$212$	−4.18367	−	12.8760i	−0.287336	−	0.884328i
$213$	−0.0548192	+	0.168716i	−0.00375615	+	0.0115602i
$214$	−8.31681	−	6.04252i	−0.568525	−	0.413058i
$215$	7.72737	+	5.61426i	0.527002	+	0.382890i
$216$	0.388456	−	1.19555i	0.0264311	−	0.0813466i
$217$	0.388657	+	1.19616i	0.0263837	+	0.0812008i
$218$	2.14818	−	1.56074i	0.145493	−	0.105707i
$219$	2.18436			0.147605
$220$	−2.36351	−	2.32676i	−0.159348	−	0.156870i
$221$	1.28715			0.0865834
$222$	0.146328	−	0.106314i	0.00982091	−	0.00713531i
$223$	0.860263	+	2.64762i	0.0576075	+	0.177298i	0.975720	−	0.219023i	$-0.0702869\pi$
$223$	0.860263	+	2.64762i	0.0576075	+	0.177298i	−0.918112	+	0.396320i	$0.870287\pi$
$224$	−0.309017	+	0.951057i	−0.0206471	+	0.0635451i
$225$	2.39101	+	1.73717i	0.159400	+	0.115811i
$226$	−8.27331	−	6.01091i	−0.550332	−	0.399840i
$227$	−4.85579	+	14.9446i	−0.322290	+	0.991906i	0.650359	+	0.759627i	$0.274618\pi$
$227$	−4.85579	+	14.9446i	−0.322290	+	0.991906i	−0.972649	+	0.232280i	$0.925382\pi$
$228$	0.314396	+	0.967611i	0.0208214	+	0.0640816i
$229$	−13.8112	+	10.0344i	−0.912668	+	0.663092i	−0.941688	−	0.336486i	$-0.890761\pi$
$229$	−13.8112	+	10.0344i	−0.912668	+	0.663092i	0.0290199	+	0.999579i	$0.490761\pi$
$230$	−0.683067			−0.0450401
$231$	−0.114930	−	0.690572i	−0.00756182	−	0.0454363i
$232$	1.60685			0.105495
$233$	5.83788	−	4.24147i	0.382452	−	0.277868i	−0.379903	−	0.925026i	$-0.624043\pi$
$233$	5.83788	−	4.24147i	0.382452	−	0.277868i	0.762356	+	0.647158i	$0.224043\pi$
$234$	0.350749	+	1.07949i	0.0229292	+	0.0705687i
$235$	2.33324	−	7.18097i	0.152204	−	0.468435i
$236$	−5.88094	−	4.27276i	−0.382817	−	0.278133i
$237$	0.575094	+	0.417830i	0.0373563	+	0.0271410i
$238$	1.03567	−	3.18747i	0.0671327	−	0.206613i
$239$	−1.51595	−	4.66560i	−0.0980584	−	0.301793i	0.889980	−	0.455999i	$-0.150718\pi$
$239$	−1.51595	−	4.66560i	−0.0980584	−	0.301793i	−0.988039	+	0.154206i	$0.950718\pi$
$240$	−0.170767	+	0.124069i	−0.0110229	+	0.00800864i
$241$	23.5063			1.51417			0.757086	−	0.653315i	$-0.226622\pi$
$241$	23.5063			1.51417			0.757086	+	0.653315i	$0.226622\pi$
$242$	6.32539	−	8.99941i	0.406611	−	0.578504i
$243$	−5.58671			−0.358387
$244$	−3.14814	+	2.28726i	−0.201539	+	0.146427i
$245$	−0.309017	−	0.951057i	−0.0197424	−	0.0607608i
$246$	−0.627556	+	1.93142i	−0.0400115	+	0.123143i
$247$	−1.49760	−	1.08807i	−0.0952903	−	0.0692325i
$248$	1.01752	+	0.739269i	0.0646124	+	0.0469436i
$249$	0.686158	−	2.11178i	0.0434835	−	0.133829i
$250$	−0.309017	−	0.951057i	−0.0195440	−	0.0601501i
$251$	4.92399	−	3.57749i	0.310800	−	0.225809i	−0.421440	−	0.906856i	$-0.638475\pi$
$251$	4.92399	−	3.57749i	0.310800	−	0.225809i	0.732240	+	0.681047i	$0.238475\pi$
$252$	2.95545			0.186176
$253$	−0.371920	−	2.23474i	−0.0233824	−	0.140497i
$254$	21.0499			1.32079
$255$	0.572326	−	0.415819i	0.0358404	−	0.0260396i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	0.546725	−	1.68265i	0.0341038	−	0.104961i	−0.932556	−	0.361026i	$-0.882426\pi$
$257$	0.546725	−	1.68265i	0.0341038	−	0.104961i	0.966659	+	0.256066i	$0.0824264\pi$
$258$	1.63109	+	1.18505i	0.101547	+	0.0737783i
$259$	0.693238	+	0.503667i	0.0430757	+	0.0312963i
$260$	0.118679	−	0.365256i	0.00736015	−	0.0226522i
$261$	−1.46751	−	4.51654i	−0.0908368	−	0.279567i
$262$	−10.4872	+	7.61940i	−0.647902	+	0.470728i
$263$	20.9446			1.29150			0.645750	−	0.763549i	$-0.276545\pi$
$263$	20.9446			1.29150			0.645750	+	0.763549i	$0.276545\pi$
$264$	−0.498888	−	0.491131i	−0.0307045	−	0.0302270i
$265$	13.5386			0.831672
$266$	−3.89948	+	2.83314i	−0.239092	+	0.173711i
$267$	−0.980785	−	3.01854i	−0.0600230	−	0.184732i
$268$	1.53696	−	4.73029i	0.0938851	−	0.288948i
$269$	23.2403	+	16.8851i	1.41699	+	1.02950i	0.992260	+	0.124178i	$0.0396293\pi$
$269$	23.2403	+	16.8851i	1.41699	+	1.02950i	0.424725	+	0.905322i	$0.360371\pi$
$270$	1.01699	+	0.738888i	0.0618922	+	0.0449673i
$271$	−1.42127	+	4.37421i	−0.0863358	+	0.265714i	−0.984899	−	0.173130i	$-0.944612\pi$
$271$	−1.42127	+	4.37421i	−0.0863358	+	0.265714i	0.898563	+	0.438844i	$0.144612\pi$
$272$	−1.03567	−	3.18747i	−0.0627969	−	0.193269i
$273$	0.0655834	−	0.0476491i	0.00396929	−	0.00288386i
$274$	12.4469			0.751943
$275$	2.94325	−	1.52882i	0.177484	−	0.0921916i
$276$	−0.144181			−0.00867869
$277$	−19.3497	+	14.0584i	−1.16261	+	0.844686i	−0.990106	−	0.140323i	$-0.955186\pi$
$277$	−19.3497	+	14.0584i	−1.16261	+	0.844686i	−0.172505	+	0.985009i	$0.555186\pi$
$278$	−3.71455	−	11.4322i	−0.222784	−	0.685658i
$279$	1.14865	−	3.53519i	0.0687681	−	0.211647i
$280$	−0.809017	−	0.587785i	−0.0483480	−	0.0351269i
$281$	−19.6116	−	14.2486i	−1.16993	−	0.850003i	−0.178929	−	0.983862i	$-0.557263\pi$
$281$	−19.6116	−	14.2486i	−1.16993	−	0.850003i	−0.991000	+	0.133859i	$0.957263\pi$
$282$	0.492498	−	1.51575i	0.0293278	−	0.0902618i
$283$	0.682418	+	2.10027i	0.0405655	+	0.124848i	0.969288	−	0.245927i	$-0.0790923\pi$
$283$	0.682418	+	2.10027i	0.0405655	+	0.124848i	−0.928723	+	0.370775i	$0.879092\pi$
$284$	−0.679927	+	0.493996i	−0.0403462	+	0.0293132i
$285$	−1.01741			−0.0602660
$286$	1.25960	+	0.189396i	0.0744816	+	0.0111992i
$287$	−9.62110			−0.567915
$288$	2.39101	−	1.73717i	0.140891	−	0.102364i
$289$	−1.78223	−	5.48513i	−0.104837	−	0.322655i
$290$	−0.496545	+	1.52821i	−0.0291582	+	0.0897396i
$291$	1.92405	+	1.39790i	0.112790	+	0.0819465i
$292$	8.37214	+	6.08271i	0.489942	+	0.355964i
$293$	−6.75948	+	20.8035i	−0.394893	+	1.21536i	0.534152	+	0.845388i	$0.320631\pi$
$293$	−6.75948	+	20.8035i	−0.394893	+	1.21536i	−0.929045	+	0.369967i	$0.879369\pi$
$294$	−0.0652271	−	0.200748i	−0.00380412	−	0.0117079i
$295$	5.88094	−	4.27276i	0.342402	−	0.248769i
$296$	0.856889			0.0498057
$297$	−1.86363	+	3.72953i	−0.108139	+	0.216409i
$298$	12.1628			0.704575
$299$	0.212232	−	0.154196i	0.0122737	−	0.00891738i
$300$	−0.0652271	−	0.200748i	−0.00376589	−	0.0115902i
$301$	−2.95159	+	9.08407i	−0.170127	+	0.523597i
$302$	16.3929	+	11.9102i	0.943308	+	0.685353i
$303$	0.120901	+	0.0878401i	0.00694561	+	0.00504628i
$304$	−1.48947	+	4.58411i	−0.0854269	+	0.262917i
$305$	−1.20248	−	3.70086i	−0.0688539	−	0.211911i
$306$	−8.01347	+	5.82213i	−0.458100	+	0.332829i
$307$	−0.917520			−0.0523656			−0.0261828	−	0.999657i	$-0.508335\pi$
$307$	−0.917520			−0.0523656			−0.0261828	+	0.999657i	$0.508335\pi$
$308$	1.48251	−	2.96684i	0.0844741	−	0.169051i
$309$	−0.127078			−0.00722924
$310$	−1.01752	+	0.739269i	−0.0577911	+	0.0419877i
$311$	0.917652	+	2.82424i	0.0520353	+	0.160148i	0.973697	−	0.227846i	$-0.0731682\pi$
$311$	0.917652	+	2.82424i	0.0520353	+	0.160148i	−0.921662	+	0.387994i	$0.873168\pi$
$312$	0.0250506	−	0.0770979i	0.00141821	−	0.00436481i
$313$	0.815491	+	0.592489i	0.0460943	+	0.0334895i	0.610594	−	0.791944i	$-0.290931\pi$
$313$	0.815491	+	0.592489i	0.0460943	+	0.0334895i	−0.564500	+	0.825433i	$0.690931\pi$
$314$	8.17010	+	5.93593i	0.461066	+	0.334984i
$315$	−0.913283	+	2.81080i	−0.0514577	+	0.158370i
$316$	1.04068	+	3.20289i	0.0585429	+	0.180176i
$317$	2.81258	−	2.04346i	0.157970	−	0.114772i	−0.505992	−	0.862538i	$-0.668874\pi$
$317$	2.81258	−	2.04346i	0.157970	−	0.114772i	0.663962	+	0.747766i	$0.268874\pi$
$318$	2.85773			0.160253
$319$	−5.27009	−	0.792422i	−0.295069	−	0.0443671i
$320$	−1.00000			−0.0559017
$321$	1.75551	−	1.27545i	0.0979828	−	0.0711887i
$322$	−0.211079	−	0.649635i	−0.0117630	−	0.0362028i
$323$	4.99196	−	15.3637i	0.277760	−	0.854858i
$324$	−6.95835	−	5.05554i	−0.386575	−	0.280863i
$325$	0.310705	+	0.225740i	0.0172348	+	0.0125218i
$326$	6.48526	−	19.9596i	0.359186	−	1.10546i
$327$	0.173197	+	0.533046i	0.00957783	+	0.0294775i
$328$	−7.78363	+	5.65514i	−0.429779	+	0.312253i
$329$	7.55052			0.416274
$330$	0.621258	−	0.322703i	0.0341991	−	0.0177642i
$331$	17.3885			0.955758			0.477879	−	0.878426i	$-0.341406\pi$
$331$	17.3885			0.955758			0.477879	+	0.878426i	$0.341406\pi$
$332$	8.51048	−	6.18323i	0.467073	−	0.339349i
$333$	−0.782582	−	2.40854i	−0.0428853	−	0.131987i
$334$	6.75982	−	20.8046i	0.369881	−	1.13838i
$335$	4.02383	+	2.92348i	0.219845	+	0.159727i
$336$	−0.170767	−	0.124069i	−0.00931609	−	0.00676854i
$337$	−5.07777	+	15.6278i	−0.276604	+	0.851300i	0.712187	+	0.701990i	$0.247705\pi$
$337$	−5.07777	+	15.6278i	−0.276604	+	0.851300i	−0.988791	+	0.149309i	$0.952295\pi$
$338$	−3.97164	−	12.2235i	−0.216029	−	0.664868i
$339$	1.74632	−	1.26878i	0.0948473	−	0.0689106i
$340$	3.35151			0.181761
$341$	−2.97264	−	2.92641i	−0.160977	−	0.158474i
$342$	14.2453			0.770298
$343$	0.809017	−	0.587785i	0.0436828	−	0.0317374i
$344$	2.95159	+	9.08407i	0.159139	+	0.489780i
$345$	0.0445545	−	0.137125i	0.00239873	−	0.00738254i
$346$	−0.175228	−	0.127311i	−0.00942032	−	0.00684426i
$347$	−25.9187	−	18.8310i	−1.39139	−	1.01090i	−0.995712	−	0.0925115i	$-0.970511\pi$
$347$	−25.9187	−	18.8310i	−1.39139	−	1.01090i	−0.395675	−	0.918390i	$-0.629489\pi$
$348$	−0.104810	+	0.322573i	−0.00561843	+	0.0172918i
$349$	11.0645	+	34.0530i	0.592268	+	1.82281i	0.567882	+	0.823110i	$0.307763\pi$
$349$	11.0645	+	34.0530i	0.592268	+	1.82281i	0.0243859	+	0.999703i	$0.492237\pi$
$350$	0.809017	−	0.587785i	0.0432438	−	0.0314184i
$351$	−0.482781			−0.0257690
$352$	−0.544486	−	3.27163i	−0.0290212	−	0.174378i
$353$	−15.4312			−0.821322			−0.410661	−	0.911788i	$-0.634702\pi$
$353$	−15.4312			−0.821322			−0.410661	+	0.911788i	$0.634702\pi$
$354$	1.24135	−	0.901890i	0.0659768	−	0.0479349i
$355$	−0.259709	−	0.799302i	−0.0137839	−	0.0424225i
$356$	4.64652	−	14.3005i	0.246265	−	0.757926i
$357$	0.572326	+	0.415819i	0.0302907	+	0.0220075i
$358$	13.8012	+	10.0272i	0.729417	+	0.529952i
$359$	5.21751	−	16.0578i	0.275370	−	0.847501i	−0.713752	−	0.700399i	$-0.753005\pi$
$359$	5.21751	−	16.0578i	0.275370	−	0.847501i	0.989121	−	0.147102i	$-0.0469945\pi$
$360$	0.913283	+	2.81080i	0.0481342	+	0.148142i
$361$	−3.42424	+	2.48786i	−0.180223	+	0.130940i
$362$	3.45754			0.181724
$363$	1.39403	+	1.85682i	0.0731676	+	0.0974576i
$364$	0.384053			0.0201298
$365$	−8.37214	+	6.08271i	−0.438218	+	0.318384i
$366$	−0.253819	−	0.781175i	−0.0132673	−	0.0408327i
$367$	−2.76463	+	8.50867i	−0.144313	+	0.444149i	−0.996922	−	0.0784002i	$-0.975019\pi$
$367$	−2.76463	+	8.50867i	−0.144313	+	0.444149i	0.852609	+	0.522549i	$0.175019\pi$
$368$	−0.552613	−	0.401497i	−0.0288069	−	0.0209295i
$369$	23.0041	+	16.7135i	1.19755	+	0.870068i
$370$	−0.264793	+	0.814950i	−0.0137660	+	0.0423672i
$371$	4.18367	+	12.8760i	0.217205	+	0.668489i
$372$	−0.214777	+	0.156044i	−0.0111357	+	0.00809053i
$373$	13.2408			0.685583			0.342792	−	0.939411i	$-0.388627\pi$
$373$	13.2408			0.685583			0.342792	+	0.939411i	$0.388627\pi$
$374$	1.82485	+	10.9649i	0.0943606	+	0.566980i
$375$	0.211079			0.0109001
$376$	6.10850	−	4.43808i	0.315022	−	0.228877i
$377$	−0.190700	−	0.586913i	−0.00982153	−	0.0302276i
$378$	−0.388456	+	1.19555i	−0.0199800	+	0.0614922i
$379$	12.8158	+	9.31122i	0.658303	+	0.478285i	0.866090	−	0.499889i	$-0.166626\pi$
$379$	12.8158	+	9.31122i	0.658303	+	0.478285i	−0.207786	+	0.978174i	$0.566626\pi$
$380$	−3.89948	−	2.83314i	−0.200039	−	0.145337i
$381$	−1.37302	+	4.22573i	−0.0703422	+	0.216491i
$382$	0.914194	+	2.81360i	0.0467742	+	0.143956i
$383$	0.102856	−	0.0747289i	0.00525567	−	0.00381847i	−0.585154	−	0.810922i	$-0.698966\pi$
$383$	0.102856	−	0.0747289i	0.00525567	−	0.00381847i	0.590410	+	0.807103i	$0.298966\pi$
$384$	−0.211079			−0.0107716
$385$	2.36351	+	2.32676i	0.120456	+	0.118583i
$386$	−9.47612			−0.482322
$387$	22.8378	−	16.5926i	1.16091	−	0.843452i
$388$	3.48173	+	10.7157i	0.176758	+	0.544005i
$389$	3.11376	−	9.58318i	0.157874	−	0.485886i	−0.840567	−	0.541708i	$-0.817778\pi$
$389$	3.11376	−	9.58318i	0.157874	−	0.485886i	0.998441	+	0.0558216i	$0.0177778\pi$
$390$	0.0655834	+	0.0476491i	0.00332095	+	0.00241281i
$391$	1.85208	+	1.34562i	0.0936640	+	0.0680509i
$392$	0.309017	−	0.951057i	0.0156077	−	0.0480356i
$393$	−0.845533	−	2.60228i	−0.0426515	−	0.131268i
$394$	−4.09678	+	2.97648i	−0.206393	+	0.149953i
$395$	−3.36771			−0.169448
$396$	−8.69860	+	4.51836i	−0.437121	+	0.227056i
$397$	8.42050			0.422613			0.211306	−	0.977420i	$-0.432228\pi$
$397$	8.42050			0.422613			0.211306	+	0.977420i	$0.432228\pi$
$398$	17.5641	−	12.7611i	0.880410	−	0.639655i
$399$	−0.314396	−	0.967611i	−0.0157395	−	0.0484411i
$400$	0.309017	−	0.951057i	0.0154508	−	0.0475528i
$401$	15.3560	+	11.1568i	0.766840	+	0.557142i	0.901001	−	0.433818i	$-0.142834\pi$
$401$	15.3560	+	11.1568i	0.766840	+	0.557142i	−0.134161	+	0.990960i	$0.542834\pi$
$402$	0.849346	+	0.617086i	0.0423615	+	0.0307775i
$403$	0.149265	−	0.459389i	0.00743540	−	0.0228838i
$404$	0.218782	+	0.673340i	0.0108848	+	0.0334999i
$405$	6.95835	−	5.05554i	0.345763	−	0.251212i
$406$	−1.60685			−0.0797469
$407$	−2.81039	−	0.422576i	−0.139306	−	0.0209463i
$408$	0.707434			0.0350232
$409$	−19.1681	+	13.9265i	−0.947803	+	0.688620i	−0.950286	−	0.311377i	$-0.899210\pi$
$409$	−19.1681	+	13.9265i	−0.947803	+	0.688620i	0.00248286	+	0.999997i	$0.499210\pi$
$410$	−2.97308	−	9.15021i	−0.146830	−	0.451897i
$411$	−0.811873	+	2.49869i	−0.0400467	+	0.123251i
$412$	−0.487061	−	0.353871i	−0.0239958	−	0.0174340i
$413$	5.88094	+	4.27276i	0.289382	+	0.210249i
$414$	−0.623833	+	1.91996i	−0.0306597	+	0.0943610i
$415$	3.25071	+	10.0047i	0.159571	+	0.491110i
$416$	0.310705	−	0.225740i	0.0152336	−	0.0110678i
$417$	2.53729			0.124251
$418$	7.14575	−	14.3002i	0.349510	−	0.699447i
$419$	−2.81468			−0.137506			−0.0687531	−	0.997634i	$-0.521902\pi$
$419$	−2.81468			−0.137506			−0.0687531	+	0.997634i	$0.521902\pi$
$420$	0.170767	−	0.124069i	0.00833256	−	0.00605396i
$421$	−0.861968	−	2.65287i	−0.0420098	−	0.129293i	0.927852	−	0.372949i	$-0.121653\pi$
$421$	−0.861968	−	2.65287i	−0.0420098	−	0.129293i	−0.969862	+	0.243656i	$0.921653\pi$
$422$	4.94362	−	15.2149i	0.240652	−	0.740650i
$423$	−18.0533	−	13.1165i	−0.877783	−	0.637747i
$424$	10.9530	+	7.95781i	0.531924	+	0.386465i
$425$	−1.03567	+	3.18747i	−0.0502375	+	0.154615i
$426$	−0.0548192	−	0.168716i	−0.00265600	−	0.00817432i
$427$	3.14814	−	2.28726i	0.152349	−	0.110688i
$428$	10.2801			0.496909
$429$	−0.120181	+	0.240509i	−0.00580239	+	0.0116119i
$430$	−9.55155			−0.460617
$431$	5.07723	−	3.68882i	0.244561	−	0.177684i	−0.458752	−	0.888565i	$-0.651703\pi$
$431$	5.07723	−	3.68882i	0.244561	−	0.177684i	0.703313	+	0.710880i	$0.251703\pi$
$432$	0.388456	+	1.19555i	0.0186896	+	0.0575207i
$433$	7.83985	−	24.1286i	0.376759	−	1.15955i	−0.565525	−	0.824731i	$-0.691326\pi$
$433$	7.83985	−	24.1286i	0.376759	−	1.15955i	0.942284	−	0.334815i	$-0.108674\pi$
$434$	−1.01752	−	0.739269i	−0.0488424	−	0.0354861i
$435$	−0.274397	−	0.199361i	−0.0131563	−	0.00955864i
$436$	−0.820532	+	2.52534i	−0.0392963	+	0.120942i
$437$	−1.01741	−	3.13126i	−0.0486692	−	0.149788i
$438$	−1.76718	+	1.28393i	−0.0844394	+	0.0613488i
$439$	14.4302			0.688715			0.344357	−	0.938839i	$-0.388097\pi$
$439$	14.4302			0.688715			0.344357	+	0.938839i	$0.388097\pi$
$440$	3.27976	+	0.493151i	0.156356	+	0.0235101i
$441$	−2.95545			−0.140736
$442$	−1.04133	+	0.756570i	−0.0495310	+	0.0359864i
$443$	7.26629	+	22.3633i	0.345232	+	1.06251i	0.961460	+	0.274946i	$0.0886600\pi$
$443$	7.26629	+	22.3633i	0.345232	+	1.06251i	−0.616228	+	0.787568i	$0.711340\pi$
$444$	−0.0558924	+	0.172019i	−0.00265254	+	0.00816367i
$445$	12.1648	+	8.83821i	0.576665	+	0.418971i
$446$	−2.25220	−	1.63632i	−0.106645	−	0.0774819i
$447$	−0.793347	+	2.44167i	−0.0375240	+	0.115487i
$448$	−0.309017	−	0.951057i	−0.0145997	−	0.0449332i
$449$	5.12808	−	3.72577i	0.242009	−	0.175830i	−0.460169	−	0.887831i	$-0.652211\pi$
$449$	5.12808	−	3.72577i	0.242009	−	0.175830i	0.702178	+	0.712002i	$0.252211\pi$
$450$	−2.95545			−0.139321
$451$	28.3173	−	14.7090i	1.33341	−	0.692618i
$452$	10.2264			0.481008
$453$	−3.46021	+	2.51399i	−0.162575	+	0.118118i
$454$	−4.85579	−	14.9446i	−0.227893	−	0.701384i
$455$	−0.118679	+	0.365256i	−0.00556375	+	0.0171235i
$456$	−0.823099	−	0.598017i	−0.0385451	−	0.0280047i
$457$	3.30350	+	2.40013i	0.154531	+	0.112274i	0.662364	−	0.749182i	$-0.269553\pi$
$457$	3.30350	+	2.40013i	0.154531	+	0.112274i	−0.507833	+	0.861456i	$0.669553\pi$
$458$	5.27540	−	16.2360i	0.246503	−	0.758659i
$459$	−1.30191	−	4.00688i	−0.0607681	−	0.187025i
$460$	0.552613	−	0.401497i	0.0257657	−	0.0187199i
$461$	27.7053			1.29037			0.645183	−	0.764028i	$-0.276781\pi$
$461$	27.7053			1.29037			0.645183	+	0.764028i	$0.276781\pi$
$462$	0.498888	+	0.491131i	0.0232104	+	0.0228495i
$463$	−30.6895			−1.42626			−0.713131	−	0.701030i	$-0.752724\pi$
$463$	−30.6895			−1.42626			−0.713131	+	0.701030i	$0.752724\pi$
$464$	−1.29997	+	0.944486i	−0.0603497	+	0.0438466i
$465$	−0.0820374	−	0.252485i	−0.00380439	−	0.0117087i
$466$	−2.22987	+	6.86284i	−0.103297	+	0.317915i
$467$	4.67950	+	3.39985i	0.216541	+	0.157326i	0.690768	−	0.723076i	$-0.257272\pi$
$467$	4.67950	+	3.39985i	0.216541	+	0.157326i	−0.474227	+	0.880403i	$0.657272\pi$
$468$	−0.918272	−	0.667164i	−0.0424471	−	0.0308396i
$469$	−1.53696	+	4.73029i	−0.0709704	+	0.218425i
$470$	2.33324	+	7.18097i	0.107624	+	0.331233i
$471$	−1.72454	+	1.25295i	−0.0794626	+	0.0577329i
$472$	7.26925			0.334594
$473$	−5.20069	−	31.2491i	−0.239128	−	1.43684i
$474$	−0.710855			−0.0326506
$475$	3.89948	−	2.83314i	0.178920	−	0.129993i
$476$	1.03567	+	3.18747i	0.0474700	+	0.146098i
$477$	12.3646	−	38.0543i	0.566136	−	1.74239i
$478$	3.96880	+	2.88350i	0.181529	+	0.131888i
$479$	−5.38508	−	3.91249i	−0.246050	−	0.178766i	0.457924	−	0.888991i	$-0.348593\pi$
$479$	−5.38508	−	3.91249i	−0.246050	−	0.178766i	−0.703975	+	0.710225i	$0.748593\pi$
$480$	0.0652271	−	0.200748i	0.00297720	−	0.00916287i
$481$	−0.101695	−	0.312984i	−0.00463687	−	0.0142708i
$482$	−19.0170	+	13.8166i	−0.866200	+	0.629331i
$483$	0.144181			0.00656048
$484$	0.172376	+	10.9986i	0.00783527	+	0.499939i
$485$	−11.2671			−0.511613
$486$	4.51974	−	3.28378i	0.205020	−	0.148955i
$487$	−0.988197	−	3.04136i	−0.0447795	−	0.137817i	0.926167	−	0.377113i	$-0.123083\pi$
$487$	−0.988197	−	3.04136i	−0.0447795	−	0.137817i	−0.970947	+	0.239296i	$0.923083\pi$
$488$	1.20248	−	3.70086i	0.0544338	−	0.167530i
$489$	3.58384	+	2.60381i	0.162067	+	0.117748i
$490$	0.809017	+	0.587785i	0.0365477	+	0.0265534i
$491$	0.773552	−	2.38075i	0.0349099	−	0.107442i	−0.932083	−	0.362244i	$-0.882011\pi$
$491$	0.773552	−	2.38075i	0.0349099	−	0.107442i	0.966993	+	0.254803i	$0.0820106\pi$
$492$	−0.627556	−	1.93142i	−0.0282924	−	0.0870751i
$493$	4.35687	−	3.16545i	0.196223	−	0.142565i
$494$	1.85114			0.0832868
$495$	−1.60920	−	9.66911i	−0.0723281	−	0.434594i
$496$	−1.25772			−0.0564733
$497$	0.679927	−	0.493996i	0.0304989	−	0.0221587i
$498$	0.686158	+	2.11178i	0.0307475	+	0.0946311i
$499$	6.70334	−	20.6307i	0.300083	−	0.923559i	−0.681384	−	0.731926i	$-0.738622\pi$
$499$	6.70334	−	20.6307i	0.300083	−	0.923559i	0.981467	−	0.191633i	$-0.0613784\pi$
$500$	0.809017	+	0.587785i	0.0361803	+	0.0262866i
$501$	3.73556	+	2.71405i	0.166893	+	0.121255i
$502$	−1.88080	+	5.78850i	−0.0839441	+	0.258353i
$503$	−0.465410	−	1.43238i	−0.0207516	−	0.0638668i	0.940144	−	0.340776i	$-0.110690\pi$
$503$	−0.465410	−	1.43238i	−0.0207516	−	0.0638668i	−0.960896	+	0.276909i	$0.910690\pi$
$504$	−2.39101	+	1.73717i	−0.106504	+	0.0773796i
$505$	−0.707992			−0.0315052
$506$	1.61444	+	1.58933i	0.0717705	+	0.0706545i
$507$	2.71290			0.120484
$508$	−17.0297	+	12.3728i	−0.755572	+	0.548955i
$509$	3.60984	+	11.1099i	0.160003	+	0.492439i	0.998633	−	0.0522620i	$-0.0166431\pi$
$509$	3.60984	+	11.1099i	0.160003	+	0.492439i	−0.838630	+	0.544701i	$0.816643\pi$
$510$	−0.218609	+	0.672809i	−0.00968017	+	0.0297925i
$511$	−8.37214	−	6.08271i	−0.370362	−	0.269083i
$512$	−0.809017	−	0.587785i	−0.0357538	−	0.0259767i
$513$	−1.87237	+	5.76256i	−0.0826671	+	0.254423i
$514$	0.546725	+	1.68265i	0.0241150	+	0.0742183i
$515$	0.487061	−	0.353871i	0.0214625	−	0.0155934i
$516$	−2.01614			−0.0887554
$517$	−22.2230	+	11.5434i	−0.977368	+	0.507679i
$518$	−0.856889			−0.0376496
$519$	0.0369870	−	0.0268726i	0.00162355	−	0.00117958i
$520$	0.118679	+	0.365256i	0.00520441	+	0.0160175i
$521$	−1.88807	+	5.81087i	−0.0827176	+	0.254579i	−0.983859	−	0.178947i	$-0.942731\pi$
$521$	−1.88807	+	5.81087i	−0.0827176	+	0.254579i	0.901141	+	0.433526i	$0.142731\pi$
$522$	3.84200	+	2.79138i	0.168160	+	0.122175i
$523$	−4.74800	−	3.44963i	−0.207616	−	0.150842i	0.479119	−	0.877750i	$-0.340956\pi$
$523$	−4.74800	−	3.44963i	−0.207616	−	0.150842i	−0.686734	+	0.726909i	$0.740956\pi$
$524$	4.00576	−	12.3285i	0.174992	−	0.538571i
$525$	0.0652271	+	0.200748i	0.00284674	+	0.00876138i
$526$	−16.9445	+	12.3109i	−0.738817	+	0.536782i
$527$	4.21526			0.183619
$528$	0.692289	+	0.104094i	0.0301280	+	0.00453011i
$529$	−22.5334			−0.979714
$530$	−10.9530	+	7.95781i	−0.475767	+	0.345665i
$531$	−6.63888	−	20.4324i	−0.288103	−	0.886689i
$532$	1.48947	−	4.58411i	0.0645766	−	0.198746i
$533$	2.98932	+	2.17187i	0.129482	+	0.0940742i
$534$	2.56773	+	1.86556i	0.111116	+	0.0807308i
$535$	−3.17674	+	9.77699i	−0.137342	+	0.422696i
$536$	1.53696	+	4.73029i	0.0663868	+	0.204317i
$537$	−2.91315	+	2.11653i	−0.125712	+	0.0913349i
$538$	−28.7266			−1.23849
$539$	−1.48251	+	2.96684i	−0.0638564	+	0.127791i
$540$	−1.25707			−0.0540957
$541$	2.03352	−	1.47744i	0.0874278	−	0.0635200i	−0.543213	−	0.839595i	$-0.682792\pi$
$541$	2.03352	−	1.47744i	0.0874278	−	0.0635200i	0.630640	+	0.776075i	$0.282792\pi$
$542$	−1.42127	−	4.37421i	−0.0610487	−	0.187888i
$543$	−0.225525	+	0.694095i	−0.00967820	+	0.0297865i
$544$	2.71143	+	1.96997i	0.116251	+	0.0844616i
$545$	−2.14818	−	1.56074i	−0.0920179	−	0.0668549i
$546$	−0.0250506	+	0.0770979i	−0.00107207	+	0.00329949i
$547$	−4.53591	−	13.9601i	−0.193941	−	0.596890i	−0.999987	−	0.00503728i	$-0.998397\pi$
$547$	−4.53591	−	13.9601i	−0.193941	−	0.596890i	0.806046	−	0.591853i	$-0.201603\pi$
$548$	−10.0697	+	7.31608i	−0.430157	+	0.312528i
$549$	−11.5006			−0.490832
$550$	−1.48251	+	2.96684i	−0.0632146	+	0.126507i
$551$	−7.74507			−0.329951
$552$	0.116645	−	0.0847476i	0.00496475	−	0.00360710i
$553$	−1.04068	−	3.20289i	−0.0442543	−	0.136201i
$554$	7.39093	−	22.7469i	0.314010	−	0.966425i
$555$	−0.146328	−	0.106314i	−0.00621129	−	0.00451276i
$556$	9.72482	+	7.06549i	0.412424	+	0.299644i
$557$	−6.58747	+	20.2742i	−0.279120	+	0.859044i	0.708979	+	0.705229i	$0.249156\pi$
$557$	−6.58747	+	20.2742i	−0.279120	+	0.859044i	−0.988100	+	0.153815i	$0.950844\pi$
$558$	1.14865	+	3.53519i	0.0486264	+	0.149657i
$559$	2.96772	−	2.15617i	0.125521	−	0.0911964i
$560$	1.00000			0.0422577
$561$	−2.32021	−	0.348872i	−0.0979593	−	0.0147294i
$562$	24.2413			1.02256
$563$	−26.7451	+	19.4315i	−1.12717	+	0.818938i	−0.985281	−	0.170944i	$-0.945318\pi$
$563$	−26.7451	+	19.4315i	−1.12717	+	0.818938i	−0.141891	+	0.989882i	$0.545318\pi$
$564$	0.492498	+	1.51575i	0.0207379	+	0.0638248i
$565$	−3.16012	+	9.72586i	−0.132947	+	0.409170i
$566$	−1.78659	−	1.29804i	−0.0750961	−	0.0545605i
$567$	6.95835	+	5.05554i	0.292223	+	0.212313i
$568$	0.259709	−	0.799302i	0.0108971	−	0.0335379i
$569$	14.2354	+	43.8119i	0.596777	+	1.83669i	0.545674	+	0.837998i	$0.316274\pi$
$569$	14.2354	+	43.8119i	0.596777	+	1.83669i	0.0511031	+	0.998693i	$0.483726\pi$
$570$	0.823099	−	0.598017i	0.0344758	−	0.0250482i
$571$	24.0901			1.00814			0.504070	−	0.863663i	$-0.331835\pi$
$571$	24.0901			1.00814			0.504070	+	0.863663i	$0.331835\pi$
$572$	−1.13036	+	0.587149i	−0.0472628	+	0.0245499i
$573$	−0.624456			−0.0260870
$574$	7.78363	−	5.65514i	0.324882	−	0.236041i
$575$	0.211079	+	0.649635i	0.00880262	+	0.0270917i
$576$	−0.913283	+	2.81080i	−0.0380535	+	0.117116i
$577$	7.78779	+	5.65816i	0.324210	+	0.235552i	0.737970	−	0.674834i	$-0.235785\pi$
$577$	7.78779	+	5.65816i	0.324210	+	0.235552i	−0.413760	+	0.910386i	$0.635785\pi$
$578$	4.66593	+	3.39000i	0.194077	+	0.141005i
$579$	0.618100	−	1.90232i	0.0256874	−	0.0790575i
$580$	−0.496545	−	1.52821i	−0.0206179	−	0.0634555i
$581$	−8.51048	+	6.18323i	−0.353074	+	0.256523i
$582$	−2.37825			−0.0985818
$583$	−31.9987	−	31.5012i	−1.32525	−	1.30464i
$584$	−10.3485			−0.428225
$585$	0.918272	−	0.667164i	0.0379659	−	0.0275838i
$586$	−6.75948	−	20.8035i	−0.279231	−	0.859386i
$587$	−14.9203	+	45.9198i	−0.615825	+	1.89531i	−0.227570	+	0.973762i	$0.573078\pi$
$587$	−14.9203	+	45.9198i	−0.615825	+	1.89531i	−0.388254	+	0.921552i	$0.626922\pi$
$588$	0.170767	+	0.124069i	0.00704230	+	0.00511653i
$589$	−4.90445	−	3.56329i	−0.202084	−	0.146823i
$590$	−2.24632	+	6.91346i	−0.0924796	+	0.284623i
$591$	−0.330303	−	1.01657i	−0.0135869	−	0.0418160i
$592$	−0.693238	+	0.503667i	−0.0284919	+	0.0207006i
$593$	−22.5234			−0.924924			−0.462462	−	0.886639i	$-0.653034\pi$
$593$	−22.5234			−0.924924			−0.462462	+	0.886639i	$0.653034\pi$
$594$	−0.684458	−	4.11267i	−0.0280836	−	0.168745i
$595$	−3.35151			−0.137398
$596$	−9.83995	+	7.14914i	−0.403060	+	0.292840i
$597$	1.41611	+	4.35834i	0.0579575	+	0.178375i
$598$	−0.0810656	+	0.249494i	−0.00331502	+	0.0102026i
$599$	21.7386	+	15.7940i	0.888215	+	0.645326i	0.935412	−	0.353560i	$-0.115029\pi$
$599$	21.7386	+	15.7940i	0.888215	+	0.645326i	−0.0471971	+	0.998886i	$0.515029\pi$
$600$	0.170767	+	0.124069i	0.00697152	+	0.00506511i
$601$	13.1660	−	40.5209i	0.537054	−	1.65288i	−0.202115	−	0.979362i	$-0.564781\pi$
$601$	13.1660	−	40.5209i	0.537054	−	1.65288i	0.739169	−	0.673520i	$-0.235219\pi$
$602$	−2.95159	−	9.08407i	−0.120298	−	0.370239i
$603$	11.8922	−	8.64019i	0.484288	−	0.351856i
$604$	−20.2628			−0.824481
$605$	−10.5136	−	3.23483i	−0.427439	−	0.131515i
$606$	−0.149442			−0.00607068
$607$	13.6276	−	9.90101i	0.553126	−	0.401870i	−0.275811	−	0.961212i	$-0.588946\pi$
$607$	13.6276	−	9.90101i	0.553126	−	0.401870i	0.828937	+	0.559342i	$0.188946\pi$
$608$	−1.48947	−	4.58411i	−0.0604059	−	0.185910i
$609$	0.104810	−	0.322573i	0.00424713	−	0.0130713i
$610$	3.14814	+	2.28726i	0.127464	+	0.0926083i
$611$	−2.34598	−	1.70446i	−0.0949084	−	0.0689550i
$612$	3.06087	−	9.42040i	0.123728	−	0.380797i
$613$	−9.25827	−	28.4940i	−0.373938	−	1.15086i	−0.944192	−	0.329395i	$-0.893155\pi$
$613$	−9.25827	−	28.4940i	−0.373938	−	1.15086i	0.570254	−	0.821468i	$-0.306845\pi$
$614$	0.742289	−	0.539304i	0.0299563	−	0.0217646i
$615$	2.03081			0.0818903
$616$	0.544486	+	3.27163i	0.0219380	+	0.131818i
$617$	−9.21777			−0.371093			−0.185547	−	0.982635i	$-0.559406\pi$
$617$	−9.21777			−0.371093			−0.185547	+	0.982635i	$0.559406\pi$
$618$	0.102809	−	0.0746948i	0.00413557	−	0.00300467i
$619$	−10.5485	−	32.4648i	−0.423979	−	1.30487i	−0.903969	−	0.427598i	$-0.859360\pi$
$619$	−10.5485	−	32.4648i	−0.423979	−	1.30487i	0.479990	−	0.877274i	$-0.340640\pi$
$620$	0.388657	−	1.19616i	0.0156088	−	0.0480391i
$621$	−0.694674	−	0.504710i	−0.0278763	−	0.0202533i
$622$	−2.40244	−	1.74548i	−0.0963292	−	0.0699873i
$623$	−4.64652	+	14.3005i	−0.186159	+	0.572938i
$624$	0.0250506	+	0.0770979i	0.00100283	+	0.00308639i
$625$	−0.809017	+	0.587785i	−0.0323607	+	0.0235114i
$626$	−1.00800			−0.0402879
$627$	2.40465	+	2.36726i	0.0960326	+	0.0945393i
$628$	−10.0988			−0.402986
$629$	2.32339	−	1.68804i	0.0926397	−	0.0673067i
$630$	−0.913283	−	2.81080i	−0.0363861	−	0.111985i
$631$	−6.07889	+	18.7089i	−0.241997	+	0.744790i	0.754119	+	0.656738i	$0.228064\pi$
$631$	−6.07889	+	18.7089i	−0.241997	+	0.744790i	−0.996116	+	0.0880521i	$0.971936\pi$
$632$	−2.72454	−	1.97949i	−0.108376	−	0.0787400i
$633$	2.73191	+	1.98485i	0.108584	+	0.0788907i
$634$	−1.07431	+	3.30638i	−0.0426662	+	0.131313i
$635$	−6.50478	−	20.0196i	−0.258134	−	0.794456i
$636$	−2.31195	+	1.67973i	−0.0916747	+	0.0666056i
$637$	−0.384053			−0.0152167
$638$	4.72937	−	2.45660i	0.187237	−	0.0972577i
$639$	−2.48386			−0.0982600
$640$	0.809017	−	0.587785i	0.0319792	−	0.0232343i
$641$	−2.09646	−	6.45224i	−0.0828051	−	0.254848i	0.901079	−	0.433655i	$-0.142776\pi$
$641$	−2.09646	−	6.45224i	−0.0828051	−	0.254848i	−0.983884	+	0.178807i	$0.942776\pi$
$642$	−0.670544	+	2.06372i	−0.0264642	+	0.0814486i
$643$	−6.18721	−	4.49527i	−0.244000	−	0.177276i	0.459064	−	0.888403i	$-0.348185\pi$
$643$	−6.18721	−	4.49527i	−0.244000	−	0.177276i	−0.703063	+	0.711127i	$0.748185\pi$
$644$	0.552613	+	0.401497i	0.0217760	+	0.0158212i
$645$	0.623020	−	1.91746i	0.0245314	−	0.0754999i
$646$	4.99196	+	15.3637i	0.196406	+	0.604476i
$647$	−10.0726	+	7.31815i	−0.395994	+	0.287706i	−0.767907	−	0.640561i	$-0.778702\pi$
$647$	−10.0726	+	7.31815i	−0.395994	+	0.287706i	0.371914	+	0.928267i	$0.378702\pi$
$648$	8.60099			0.337879
$649$	−23.8414	−	3.58484i	−0.935855	−	0.140717i
$650$	−0.384053			−0.0150638
$651$	0.214777	−	0.156044i	0.00841776	−	0.00611586i
$652$	6.48526	+	19.9596i	0.253983	+	0.781678i
$653$	10.0636	−	30.9725i	0.393819	−	1.21205i	−0.536059	−	0.844180i	$-0.680088\pi$
$653$	10.0636	−	30.9725i	0.393819	−	1.21205i	0.929878	−	0.367868i	$-0.119912\pi$
$654$	−0.453436	−	0.329441i	−0.0177308	−	0.0128822i
$655$	10.4872	+	7.61940i	0.409769	+	0.297715i
$656$	2.97308	−	9.15021i	0.116079	−	0.357256i
$657$	9.45114	+	29.0876i	0.368724	+	1.13482i
$658$	−6.10850	+	4.43808i	−0.238134	+	0.173014i
$659$	13.3486			0.519990			0.259995	−	0.965610i	$-0.416279\pi$
$659$	13.3486			0.519990			0.259995	+	0.965610i	$0.416279\pi$
$660$	−0.312928	+	0.626239i	−0.0121807	+	0.0243763i
$661$	37.5491			1.46049			0.730246	−	0.683184i	$-0.239405\pi$
$661$	37.5491			1.46049			0.730246	+	0.683184i	$0.239405\pi$
$662$	−14.0676	+	10.2207i	−0.546752	+	0.397239i
$663$	−0.0839573	−	0.258394i	−0.00326063	−	0.0100352i
$664$	−3.25071	+	10.0047i	−0.126152	+	0.388256i
$665$	3.89948	+	2.83314i	0.151215	+	0.109864i
$666$	2.04883	+	1.48856i	0.0793904	+	0.0576805i
$667$	0.339174	−	1.04387i	0.0131329	−	0.0404188i
$668$	6.75982	+	20.8046i	0.261545	+	0.804954i
$669$	0.475393	−	0.345393i	0.0183797	−	0.0133537i
$670$	−4.97372			−0.192152
$671$	−5.76893	+	11.5449i	−0.222707	+	0.445686i
$672$	0.211079			0.00814256
$673$	4.95740	−	3.60176i	0.191094	−	0.138838i	−0.488125	−	0.872774i	$-0.662319\pi$
$673$	4.95740	−	3.60176i	0.191094	−	0.138838i	0.679218	+	0.733936i	$0.262319\pi$
$674$	−5.07777	−	15.6278i	−0.195589	−	0.601960i
$675$	0.388456	−	1.19555i	0.0149517	−	0.0460166i
$676$	10.3979	+	7.55451i	0.399919	+	0.290558i
$677$	−12.7401	−	9.25620i	−0.489641	−	0.355745i	0.315405	−	0.948957i	$-0.397859\pi$
$677$	−12.7401	−	9.25620i	−0.489641	−	0.355745i	−0.805046	+	0.593212i	$0.797859\pi$
$678$	−0.667036	+	2.05293i	−0.0256174	+	0.0788422i
$679$	−3.48173	−	10.7157i	−0.133616	−	0.411229i
$680$	−2.71143	+	1.96997i	−0.103978	+	0.0755447i
$681$	3.31683			0.127101
$682$	4.12502	+	0.620246i	0.157955	+	0.0237504i
$683$	−15.0157			−0.574559			−0.287280	−	0.957847i	$-0.592751\pi$
$683$	−15.0157			−0.574559			−0.287280	+	0.957847i	$0.592751\pi$
$684$	−11.5247	+	8.37318i	−0.440658	+	0.320157i
$685$	−3.84629	−	11.8377i	−0.146959	−	0.452294i
$686$	−0.309017	+	0.951057i	−0.0117983	+	0.0363115i
$687$	2.91525	+	2.11806i	0.111224	+	0.0808089i
$688$	−7.72737	−	5.61426i	−0.294603	−	0.214042i
$689$	1.60675	−	4.94506i	0.0612123	−	0.188392i
$690$	0.0445545	+	0.137125i	0.00169616	+	0.00522024i
$691$	−24.7191	+	17.9595i	−0.940359	+	0.683211i	−0.948507	−	0.316756i	$-0.897406\pi$
$691$	−24.7191	+	17.9595i	−0.940359	+	0.683211i	0.00814785	+	0.999967i	$0.497406\pi$
$692$	0.216594			0.00823366
$693$	8.69860	−	4.51836i	0.330433	−	0.171638i
$694$	32.0372			1.21612
$695$	−9.72482	+	7.06549i	−0.368883	+	0.268009i
$696$	−0.104810	−	0.322573i	−0.00397283	−	0.0122271i
$697$	−9.96430	+	30.6670i	−0.377425	+	1.16159i
$698$	−28.9672	−	21.0459i	−1.09642	−	0.796598i
$699$	−1.23226	−	0.895287i	−0.0466082	−	0.0338629i
$700$	−0.309017	+	0.951057i	−0.0116797	+	0.0359466i
$701$	−1.21416	−	3.73681i	−0.0458583	−	0.141137i	0.925506	−	0.378734i	$-0.123640\pi$
$701$	−1.21416	−	3.73681i	−0.0458583	−	0.141137i	−0.971364	+	0.237597i	$0.923640\pi$
$702$	0.390578	−	0.283772i	0.0147414	−	0.0107103i
$703$	−4.13022			−0.155774
$704$	2.36351	+	2.32676i	0.0890782	+	0.0876931i
$705$	−1.59376			−0.0600244
$706$	12.4841	−	9.07026i	0.469847	−	0.341364i
$707$	−0.218782	−	0.673340i	−0.00822813	−	0.0253236i
$708$	−0.474152	+	1.45929i	−0.0178197	+	0.0548434i
$709$	−19.5180	−	14.1806i	−0.733013	−	0.532565i	0.157502	−	0.987519i	$-0.449656\pi$
$709$	−19.5180	−	14.1806i	−0.733013	−	0.532565i	−0.890515	+	0.454954i	$0.849656\pi$
$710$	0.679927	+	0.493996i	0.0255172	+	0.0185393i
$711$	−3.07568	+	9.46596i	−0.115347	+	0.355001i
$712$	4.64652	+	14.3005i	0.174136	+	0.535935i
$713$	0.695032	−	0.504970i	0.0260292	−	0.0189113i
$714$	−0.707434			−0.0264750
$715$	−0.209111	−	1.25648i	−0.00782032	−	0.0469896i
$716$	−17.0592			−0.637534
$717$	−0.837731	+	0.608647i	−0.0312856	+	0.0227304i
$718$	5.21751	+	16.0578i	0.194716	+	0.599274i
$719$	−13.5542	+	41.7154i	−0.505485	+	1.55572i	0.294468	+	0.955661i	$0.404858\pi$
$719$	−13.5542	+	41.7154i	−0.505485	+	1.55572i	−0.799953	+	0.600062i	$0.795142\pi$
$720$	−2.39101	−	1.73717i	−0.0891075	−	0.0647404i
$721$	0.487061	+	0.353871i	0.0181391	+	0.0131788i
$722$	1.30794	−	4.02544i	0.0486766	−	0.149811i
$723$	−1.53325	−	4.71885i	−0.0570221	−	0.175496i
$724$	−2.79721	+	2.03229i	−0.103957	+	0.0755294i
$725$	1.60685			0.0596771
$726$	−2.21920	−	0.682806i	−0.0823624	−	0.0253413i
$727$	−20.7183			−0.768400			−0.384200	−	0.923250i	$-0.625523\pi$
$727$	−20.7183			−0.768400			−0.384200	+	0.923250i	$0.625523\pi$
$728$	−0.310705	+	0.225740i	−0.0115155	+	0.00836650i
$729$	−7.60916	−	23.4186i	−0.281821	−	0.867355i
$730$	3.19787	−	9.84204i	0.118359	−	0.364270i
$731$	25.8983	+	18.8162i	0.957884	+	0.695944i
$732$	0.664507	+	0.482793i	0.0245609	+	0.0178445i
$733$	−10.2029	+	31.4013i	−0.376853	+	1.15983i	0.565367	+	0.824840i	$0.308735\pi$
$733$	−10.2029	+	31.4013i	−0.376853	+	1.15983i	−0.942220	+	0.334995i	$0.891265\pi$
$734$	−2.76463	−	8.50867i	−0.102044	−	0.314061i
$735$	−0.170767	+	0.124069i	−0.00629883	+	0.00457637i
$736$	0.683067			0.0251782
$737$	−2.70812	−	16.2722i	−0.0997550	−	0.599393i
$738$	−28.4346			−1.04669
$739$	−4.22246	+	3.06780i	−0.155326	+	0.112851i	−0.662734	−	0.748855i	$-0.730604\pi$
$739$	−4.22246	+	3.06780i	−0.155326	+	0.112851i	0.507408	+	0.861706i	$0.330604\pi$
$740$	−0.264793	−	0.814950i	−0.00973400	−	0.0299582i
$741$	−0.120745	+	0.371614i	−0.00443566	+	0.0136516i
$742$	−10.9530	−	7.95781i	−0.402097	−	0.292140i
$743$	−26.3269	−	19.1276i	−0.965841	−	0.701725i	−0.0113413	−	0.999936i	$-0.503610\pi$
$743$	−26.3269	−	19.1276i	−0.965841	−	0.701725i	−0.954500	+	0.298211i	$0.903610\pi$
$744$	0.0820374	−	0.252485i	0.00300764	−	0.00925656i
$745$	−3.75853	−	11.5676i	−0.137702	−	0.423802i
$746$	−10.7120	+	7.78276i	−0.392196	+	0.284947i
$747$	31.0899			1.13752
$748$	−7.92132	−	7.79815i	−0.289632	−	0.285129i
$749$	−10.2801			−0.375628
$750$	−0.170767	+	0.124069i	−0.00623552	+	0.00453037i
$751$	14.5842	+	44.8856i	0.532185	+	1.63790i	0.749654	+	0.661830i	$0.230220\pi$
$751$	14.5842	+	44.8856i	0.532185	+	1.63790i	−0.217469	+	0.976067i	$0.569780\pi$
$752$	−2.33324	+	7.18097i	−0.0850844	+	0.261863i
$753$	−1.03935	−	0.755134i	−0.0378761	−	0.0275186i
$754$	0.499258	+	0.362732i	0.0181819	+	0.0132099i
$755$	6.26155	−	19.2711i	0.227881	−	0.701346i
$756$	−0.388456	−	1.19555i	−0.0141280	−	0.0434816i
$757$	29.7933	−	21.6461i	1.08285	−	0.786740i	0.104676	−	0.994506i	$-0.466619\pi$
$757$	29.7933	−	21.6461i	1.08285	−	0.786740i	0.978178	+	0.207766i	$0.0666194\pi$
$758$	−15.8412			−0.575378
$759$	−0.424361	+	0.220428i	−0.0154033	+	0.00800103i
$760$	4.82002			0.174841
$761$	−4.92452	+	3.57787i	−0.178514	+	0.129698i	−0.673454	−	0.739229i	$-0.735190\pi$
$761$	−4.92452	+	3.57787i	−0.178514	+	0.129698i	0.494940	+	0.868927i	$0.335190\pi$
$762$	−1.37302	−	4.22573i	−0.0497394	−	0.153082i
$763$	0.820532	−	2.52534i	0.0297052	−	0.0914233i
$764$	−2.39339	−	1.73890i	−0.0865898	−	0.0629112i
$765$	8.01347	+	5.82213i	0.289728	+	0.210499i
$766$	−0.0392873	+	0.120914i	−0.00141951	+	0.00436880i
$767$	−0.862705	−	2.65513i	−0.0311505	−	0.0958713i
$768$	0.170767	−	0.124069i	0.00616201	−	0.00447697i
$769$	−42.1342			−1.51940			−0.759700	−	0.650274i	$-0.774654\pi$
$769$	−42.1342			−1.51940			−0.759700	+	0.650274i	$0.774654\pi$
$770$	−3.27976	−	0.493151i	−0.118194	−	0.0177719i
$771$	−0.373450			−0.0134495
$772$	7.66634	−	5.56992i	0.275918	−	0.200466i
$773$	−5.04168	−	15.5167i	−0.181337	−	0.558097i	0.818529	−	0.574465i	$-0.194790\pi$
$773$	−5.04168	−	15.5167i	−0.181337	−	0.558097i	−0.999866	+	0.0163678i	$0.994790\pi$
$774$	−8.72327	+	26.8475i	−0.313551	+	0.965012i
$775$	1.01752	+	0.739269i	0.0365503	+	0.0265553i
$776$	−9.11528	−	6.62264i	−0.327220	−	0.237739i
$777$	0.0558924	−	0.172019i	0.00200513	−	0.00617115i
$778$	3.11376	+	9.58318i	0.111634	+	0.343574i
$779$	37.5173	−	27.2579i	1.34420	−	0.976615i
$780$	−0.0810656			−0.00290261
$781$	−1.24596	+	2.49344i	−0.0445839	+	0.0892223i
$782$	−2.28930			−0.0818653
$783$	−1.63416	+	1.18729i	−0.0584001	+	0.0424301i
$784$	0.309017	+	0.951057i	0.0110363	+	0.0339663i
$785$	3.12070	−	9.60453i	0.111383	−	0.342800i
$786$	2.21363	+	1.60830i	0.0789577	+	0.0573661i
$787$	0.308673	+	0.224264i	0.0110030	+	0.00799415i	0.593273	−	0.805001i	$-0.297835\pi$
$787$	0.308673	+	0.224264i	0.0110030	+	0.00799415i	−0.582270	+	0.812995i	$0.697835\pi$
$788$	1.56483	−	4.81605i	0.0557447	−	0.171565i
$789$	−1.36616	−	4.20460i	−0.0486364	−	0.149688i
$790$	2.72454	−	1.97949i	0.0969347	−	0.0704272i
$791$	−10.2264			−0.363608
$792$	4.38149	−	8.76834i	0.155690	−	0.311569i
$793$	−1.49447			−0.0530702
$794$	−6.81233	+	4.94945i	−0.241760	+	0.175649i
$795$	−0.883086	−	2.71786i	−0.0313198	−	0.0963925i
$796$	−6.70890	+	20.6479i	−0.237791	+	0.731844i
$797$	16.7276	+	12.1533i	0.592521	+	0.430492i	0.843216	−	0.537574i	$-0.180659\pi$
$797$	16.7276	+	12.1533i	0.592521	+	0.430492i	−0.250695	+	0.968066i	$0.580659\pi$
$798$	0.823099	+	0.598017i	0.0291374	+	0.0211696i
$799$	7.81986	−	24.0671i	0.276647	−	0.851431i
$800$	0.309017	+	0.951057i	0.0109254	+	0.0336249i
$801$	35.9523	−	26.1209i	1.27031	−	0.922935i
$802$	−18.9810			−0.670242
$803$	33.9407	+	5.10339i	1.19774	+	0.180095i
$804$	−1.04985			−0.0370253
$805$	−0.552613	+	0.401497i	−0.0194770	+	0.0141509i
$806$	0.149265	+	0.459389i	0.00525762	+	0.0161813i
$807$	1.87375	−	5.76681i	0.0659592	−	0.203001i
$808$	−0.572777	−	0.416147i	−0.0201502	−	0.0146400i
$809$	−0.475084	−	0.345169i	−0.0167031	−	0.0121355i	0.579402	−	0.815042i	$-0.303286\pi$
$809$	−0.475084	−	0.345169i	−0.0167031	−	0.0121355i	−0.596105	+	0.802906i	$0.703286\pi$
$810$	−2.65785	+	8.18003i	−0.0933875	+	0.287417i
$811$	−4.19498	−	12.9108i	−0.147306	−	0.453360i	0.849995	−	0.526791i	$-0.176605\pi$
$811$	−4.19498	−	12.9108i	−0.147306	−	0.453360i	−0.997300	+	0.0734313i	$0.976605\pi$
$812$	1.29997	−	0.944486i	0.0456201	−	0.0331449i
$813$	0.970821			0.0340482
$814$	2.52204	−	1.31003i	0.0883973	−	0.0459167i
$815$	−20.9868			−0.735134
$816$	−0.572326	+	0.415819i	−0.0200354	+	0.0145566i
$817$	−14.2267	−	43.7854i	−0.497730	−	1.53186i
$818$	7.32158	−	22.5335i	0.255993	−	0.787865i
$819$	0.918272	+	0.667164i	0.0320870	+	0.0233126i
$820$	7.78363	+	5.65514i	0.271816	+	0.197486i
$821$	−0.180564	+	0.555719i	−0.00630172	+	0.0193947i	−0.954158	−	0.299304i	$-0.903246\pi$
$821$	−0.180564	+	0.555719i	−0.00630172	+	0.0193947i	0.947856	+	0.318698i	$0.103246\pi$
$822$	−0.811873	−	2.49869i	−0.0283173	−	0.0871517i
$823$	−21.5479	+	15.6555i	−0.751114	+	0.545716i	−0.896172	−	0.443707i	$-0.853663\pi$
$823$	−21.5479	+	15.6555i	−0.751114	+	0.545716i	0.145058	+	0.989423i	$0.453663\pi$
$824$	0.602041			0.0209731
$825$	−0.498888	−	0.491131i	−0.0173691	−	0.0170990i
$826$	−7.26925			−0.252929
$827$	10.6634	−	7.74745i	0.370804	−	0.269405i	−0.386740	−	0.922189i	$-0.626399\pi$
$827$	10.6634	−	7.74745i	0.370804	−	0.269405i	0.757544	+	0.652784i	$0.226399\pi$
$828$	−0.623833	−	1.91996i	−0.0216797	−	0.0667233i
$829$	−6.19984	+	19.0811i	−0.215329	+	0.662715i	0.783801	+	0.621012i	$0.213278\pi$
$829$	−6.19984	+	19.0811i	−0.215329	+	0.662715i	−0.999130	+	0.0417028i	$0.986722\pi$
$830$	−8.51048	−	6.18323i	−0.295403	−	0.214623i
$831$	4.08432	+	2.96743i	0.141684	+	0.102939i
$832$	−0.118679	+	0.365256i	−0.00411445	+	0.0126630i
$833$	−1.03567	−	3.18747i	−0.0358839	−	0.110439i
$834$	−2.05271	+	1.49138i	−0.0710794	+	0.0516422i
$835$	−21.8752			−0.757024
$836$	2.62443	+	15.7693i	0.0907679	+	0.545393i
$837$	−1.58104			−0.0546489
$838$	2.27713	−	1.65443i	0.0786620	−	0.0571513i
$839$	2.99773	+	9.22608i	0.103493	+	0.318520i	0.989374	−	0.145394i	$-0.0464449\pi$
$839$	2.99773	+	9.22608i	0.103493	+	0.318520i	−0.885881	+	0.463913i	$0.846445\pi$
$840$	−0.0652271	+	0.200748i	−0.00225055	+	0.00692648i
$841$	21.3726	+	15.5281i	0.736987	+	0.535452i
$842$	2.25666	+	1.63956i	0.0777697	+	0.0565030i
$843$	−1.58119	+	4.86639i	−0.0544589	+	0.167607i
$844$	4.94362	+	15.2149i	0.170167	+	0.523719i
$845$	−10.3979	+	7.55451i	−0.357698	+	0.259883i
$846$	22.3151			0.767210
$847$	−0.172376	−	10.9986i	−0.00592291	−	0.377918i
$848$	−13.5386			−0.464919
$849$	0.377113	−	0.273988i	0.0129425	−	0.00940326i
$850$	−1.03567	−	3.18747i	−0.0355233	−	0.109329i
$851$	0.180872	−	0.556666i	0.00620020	−	0.0190823i
$852$	0.143518	+	0.104272i	0.00491686	+	0.00357231i
$853$	4.17869	+	3.03600i	0.143076	+	0.103951i	0.657021	−	0.753873i	$-0.271816\pi$
$853$	4.17869	+	3.03600i	0.143076	+	0.103951i	−0.513945	+	0.857823i	$0.671816\pi$
$854$	−1.20248	+	3.70086i	−0.0411481	+	0.126641i
$855$	−4.40204	−	13.5481i	−0.150547	−	0.463335i
$856$	−8.31681	+	6.04252i	−0.284263	+	0.206529i
$857$	5.43985			0.185822			0.0929109	−	0.995674i	$-0.470383\pi$
$857$	5.43985			0.185822			0.0929109	+	0.995674i	$0.470383\pi$
$858$	−0.0441391	−	0.265216i	−0.00150688	−	0.00905433i
$859$	24.5615			0.838028			0.419014	−	0.907980i	$-0.362376\pi$
$859$	24.5615			0.838028			0.419014	+	0.907980i	$0.362376\pi$
$860$	7.72737	−	5.61426i	0.263501	−	0.191445i
$861$	0.627556	+	1.93142i	0.0213871	+	0.0658226i
$862$	−1.93933	+	5.96864i	−0.0660538	+	0.203293i
$863$	14.7391	+	10.7086i	0.501724	+	0.364524i	0.809675	−	0.586878i	$-0.199643\pi$
$863$	14.7391	+	10.7086i	0.501724	+	0.364524i	−0.307951	+	0.951402i	$0.599643\pi$
$864$	−1.01699	−	0.738888i	−0.0345988	−	0.0251375i
$865$	−0.0669312	+	0.205993i	−0.00227573	+	0.00700397i
$866$	7.83985	+	24.1286i	0.266409	+	0.819923i
$867$	−0.984882	+	0.715558i	−0.0334483	+	0.0243016i
$868$	1.25772			0.0426898
$869$	7.95963	+	7.83586i	0.270012	+	0.265813i
$870$	0.339174			0.0114991
$871$	1.54536	−	1.12277i	0.0523625	−	0.0380436i
$872$	−0.820532	−	2.52534i	−0.0277867	−	0.0855187i
$873$	−10.2901	+	31.6695i	−0.348266	+	1.07185i
$874$	2.66360	+	1.93522i	0.0900978	+	0.0654599i
$875$	−0.809017	−	0.587785i	−0.0273498	−	0.0198708i
$876$	0.675005	−	2.07745i	0.0228063	−	0.0701905i
$877$	−3.27362	−	10.0752i	−0.110542	−	0.340214i	0.880449	−	0.474141i	$-0.157241\pi$
$877$	−3.27362	−	10.0752i	−0.110542	−	0.340214i	−0.990991	+	0.133927i	$0.957241\pi$
$878$	−11.6743	+	8.48184i	−0.393987	+	0.286248i
$879$	4.61718			0.155733
$880$	−2.94325	+	1.52882i	−0.0992168	+	0.0515367i
$881$	56.7215			1.91100			0.955498	−	0.294996i	$-0.0953185\pi$
$881$	56.7215			1.91100			0.955498	+	0.294996i	$0.0953185\pi$
$882$	2.39101	−	1.73717i	0.0805093	−	0.0584935i
$883$	12.9095	+	39.7312i	0.434438	+	1.33706i	0.893662	+	0.448741i	$0.148127\pi$
$883$	12.9095	+	39.7312i	0.434438	+	1.33706i	−0.459224	+	0.888320i	$0.651873\pi$
$884$	0.397753	−	1.22416i	0.0133779	−	0.0411728i
$885$	−1.24135	−	0.901890i	−0.0417274	−	0.0303167i
$886$	−19.0234	−	13.8213i	−0.639103	−	0.464336i
$887$	0.142151	−	0.437496i	0.00477296	−	0.0146897i	−0.948642	−	0.316353i	$-0.897542\pi$
$887$	0.142151	−	0.437496i	0.00477296	−	0.0146897i	0.953415	+	0.301663i	$0.0975417\pi$
$888$	−0.0558924	−	0.172019i	−0.00187563	−	0.00577258i
$889$	17.0297	−	12.3728i	0.571159	−	0.414971i
$890$	−15.0365			−0.504023
$891$	−28.2092	−	4.24159i	−0.945043	−	0.142099i
$892$	2.78387			0.0932109
$893$	−29.4431	+	21.3916i	−0.985275	+	0.715844i
$894$	−0.793347	−	2.44167i	−0.0265335	−	0.0816617i
$895$	5.27160	−	16.2243i	0.176210	−	0.542319i
$896$	0.809017	+	0.587785i	0.0270274	+	0.0196365i
$897$	−0.0447979	−	0.0325476i	−0.00149576	−	0.00108673i
$898$	−1.95875	+	6.02842i	−0.0653644	+	0.201171i
$899$	−0.624515	−	1.92206i	−0.0208287	−	0.0641043i
$900$	2.39101	−	1.73717i	0.0797002	−	0.0579056i
$901$	45.3748			1.51165
$902$	−14.2634	+	28.5443i	−0.474920	+	0.950420i
$903$	2.01614			0.0670928
$904$	−8.27331	+	6.01091i	−0.275166	+	0.199920i
$905$	−1.06844	−	3.28831i	−0.0355161	−	0.109307i
$906$	1.32168	−	4.06772i	0.0439100	−	0.135141i
$907$	29.3268	+	21.3071i	0.973779	+	0.707492i	0.956310	−	0.292355i	$-0.0944390\pi$
$907$	29.3268	+	21.3071i	0.973779	+	0.707492i	0.0174696	+	0.999847i	$0.494439\pi$
$908$	12.7126	+	9.23626i	0.421883	+	0.306516i
$909$	−0.646597	+	1.99002i	−0.0214463	+	0.0660048i
$910$	−0.118679	−	0.365256i	−0.00393416	−	0.0121081i
$911$	−44.3671	+	32.2346i	−1.46995	+	1.06798i	−0.489317	+	0.872106i	$0.662754\pi$
$911$	−44.3671	+	32.2346i	−1.46995	+	1.06798i	−0.980629	+	0.195872i	$0.937246\pi$
$912$	1.01741			0.0336897
$913$	15.5954	−	31.2098i	0.516131	−	1.03289i
$914$	−4.08335			−0.135065
$915$	−0.664507	+	0.482793i	−0.0219679	+	0.0159606i
$916$	5.27540	+	16.2360i	0.174304	+	0.536453i
$917$	−4.00576	+	12.3285i	−0.132282	+	0.407121i
$918$	3.40845	+	2.47639i	0.112496	+	0.0817330i
$919$	−14.3389	−	10.4179i	−0.472998	−	0.343653i	0.325610	−	0.945504i	$-0.394430\pi$
$919$	−14.3389	−	10.4179i	−0.472998	−	0.343653i	−0.798609	+	0.601851i	$0.794430\pi$
$920$	−0.211079	+	0.649635i	−0.00695908	+	0.0214178i
$921$	0.0598471	+	0.184191i	0.00197203	+	0.00606928i
$922$	−22.4141	+	16.2848i	−0.738168	+	0.536311i
$923$	−0.322771			−0.0106241
$924$	−0.692289	−	0.104094i	−0.0227746	−	0.00342444i
$925$	0.856889			0.0281743
$926$	24.8283	−	18.0388i	0.815910	−	0.592793i
$927$	−0.549834	−	1.69221i	−0.0180589	−	0.0555796i
$928$	0.496545	−	1.52821i	0.0162999	−	0.0501659i
$929$	6.95549	+	5.05346i	0.228202	+	0.165799i	0.696011	−	0.718031i	$-0.254956\pi$
$929$	6.95549	+	5.05346i	0.228202	+	0.165799i	−0.467809	+	0.883830i	$0.654956\pi$
$930$	0.214777	+	0.156044i	0.00704281	+	0.00511690i
$931$	−1.48947	+	4.58411i	−0.0488153	+	0.150238i
$932$	−2.22987	−	6.86284i	−0.0730419	−	0.224800i
$933$	0.507106	−	0.368434i	0.0166019	−	0.0120620i
$934$	−5.78418			−0.189264
$935$	9.86430	−	5.12387i	0.322597	−	0.167568i
$936$	1.13505			0.0371002
$937$	43.8288	−	31.8435i	1.43182	−	1.04028i	0.442151	−	0.896941i	$-0.354216\pi$
$937$	43.8288	−	31.8435i	1.43182	−	1.04028i	0.989673	−	0.143340i	$-0.0457844\pi$
$938$	−1.53696	−	4.73029i	−0.0501837	−	0.154449i
$939$	0.0657491	−	0.202355i	0.00214564	−	0.00660360i
$940$	−6.10850	−	4.43808i	−0.199237	−	0.144754i
$941$	−34.0577	−	24.7444i	−1.11025	−	0.806643i	−0.127546	−	0.991833i	$-0.540710\pi$
$941$	−34.0577	−	24.7444i	−1.11025	−	0.806643i	−0.982703	+	0.185190i	$0.940710\pi$
$942$	0.658715	−	2.02732i	0.0214621	−	0.0660536i
$943$	2.03081	+	6.25020i	0.0661324	+	0.203535i
$944$	−5.88094	+	4.27276i	−0.191408	+	0.139066i
$945$	1.25707			0.0408925
$946$	22.5752	+	22.2242i	0.733983	+	0.722570i
$947$	32.3240			1.05039			0.525194	−	0.850982i	$-0.323993\pi$
$947$	32.3240			1.05039			0.525194	+	0.850982i	$0.323993\pi$
$948$	0.575094	−	0.417830i	0.0186782	−	0.0135705i
$949$	1.22815	+	3.77986i	0.0398675	+	0.122699i
$950$	−1.48947	+	4.58411i	−0.0483247	+	0.148728i
$951$	−0.593677	−	0.431331i	−0.0192513	−	0.0139869i
$952$	−2.71143	−	1.96997i	−0.0878778	−	0.0638470i
$953$	12.4704	−	38.3800i	0.403956	−	1.24325i	−0.517807	−	0.855497i	$-0.673252\pi$
$953$	12.4704	−	38.3800i	0.403956	−	1.24325i	0.921763	−	0.387753i	$-0.126748\pi$
$954$	12.3646	+	38.0543i	0.400319	+	1.23205i
$955$	2.39339	−	1.73890i	0.0774483	−	0.0562695i
$956$	−4.90570			−0.158662
$957$	0.184675	+	1.10965i	0.00596971	+	0.0358699i
$958$	6.65632			0.215056
$959$	10.0697	−	7.31608i	0.325168	−	0.236249i
$960$	0.0652271	+	0.200748i	0.00210520	+	0.00647913i
$961$	−9.09071	+	27.9783i	−0.293249	+	0.902526i
$962$	0.266240	+	0.193435i	0.00858392	+	0.00623658i
$963$	24.5799	+	17.8583i	0.792075	+	0.575476i
$964$	7.26384	−	22.3558i	0.233953	−	0.720032i
$965$	2.92828	+	9.01233i	0.0942647	+	0.290117i
$966$	−0.116645	+	0.0847476i	−0.00375300	+	0.00272671i
$967$	1.52424			0.0490161			0.0245081	−	0.999700i	$-0.492198\pi$
$967$	1.52424			0.0490161			0.0245081	+	0.999700i	$0.492198\pi$
$968$	−6.60430	−	8.79677i	−0.212270	−	0.282739i
$969$	−3.40984			−0.109540
$970$	9.11528	−	6.62264i	0.292674	−	0.212640i
$971$	9.55231	+	29.3990i	0.306548	+	0.943459i	0.979095	+	0.203404i	$0.0652005\pi$
$971$	9.55231	+	29.3990i	0.306548	+	0.943459i	−0.672547	+	0.740055i	$0.734800\pi$
$972$	−1.72639	+	5.31327i	−0.0553739	+	0.170423i
$973$	−9.72482	−	7.06549i	−0.311763	−	0.226509i
$974$	2.58713	+	1.87966i	0.0828971	+	0.0602283i
$975$	0.0250506	−	0.0770979i	0.000802262	−	0.00246911i
$976$	1.20248	+	3.70086i	0.0384905	+	0.118462i
$977$	−46.2230	+	33.5830i	−1.47880	+	1.07441i	−0.500865	+	0.865525i	$0.666985\pi$
$977$	−46.2230	+	33.5830i	−1.47880	+	1.07441i	−0.977939	+	0.208889i	$0.933015\pi$
$978$	−4.42987			−0.141652
$979$	−8.18714	−	49.1937i	−0.261662	−	1.57224i
$980$	−1.00000			−0.0319438
$981$	−6.34883	+	4.61269i	−0.202703	+	0.147272i
$982$	0.773552	+	2.38075i	0.0246850	+	0.0759727i
$983$	−5.27775	+	16.2432i	−0.168334	+	0.518079i	−0.999267	−	0.0382943i	$-0.987808\pi$
$983$	−5.27775	+	16.2432i	−0.168334	+	0.518079i	0.830932	+	0.556373i	$0.187808\pi$
$984$	1.64296	+	1.19368i	0.0523758	+	0.0380532i
$985$	4.09678	+	2.97648i	0.130534	+	0.0948386i
$986$	−1.66417	+	5.12180i	−0.0529981	+	0.163111i
$987$	−0.492498	−	1.51575i	−0.0156764	−	0.0482470i
$988$	−1.49760	+	1.08807i	−0.0476452	+	0.0346162i
$989$	6.52435			0.207462
$990$	6.98523	+	6.87661i	0.222005	+	0.218553i
$991$	56.3798			1.79096			0.895482	−	0.445097i	$-0.146831\pi$
$991$	56.3798			1.79096			0.895482	+	0.445097i	$0.146831\pi$
$992$	1.01752	−	0.739269i	0.0323062	−	0.0234718i
$993$	−1.13420	−	3.49071i	−0.0359928	−	0.110774i
$994$	−0.259709	+	0.799302i	−0.00823746	+	0.0253523i
$995$	−17.5641	−	12.7611i	−0.556820	−	0.404553i
$996$	−1.79639	−	1.30515i	−0.0569207	−	0.0413553i
$997$	12.0108	−	36.9656i	0.380387	−	1.17071i	−0.559384	−	0.828908i	$-0.688962\pi$
$997$	12.0108	−	36.9656i	0.380387	−	1.17071i	0.939772	−	0.341803i	$-0.111038\pi$
$998$	6.70334	+	20.6307i	0.212190	+	0.653055i
$999$	−0.871450	+	0.633145i	−0.0275714	+	0.0200318i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.n.k.421.3	✓	16
11.2	odd	10		8470.2.a.dg.1.4		8
11.4	even	5	inner	770.2.n.k.631.3	yes	16
11.9	even	5		8470.2.a.dh.1.4		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.n.k.421.3	✓	16	1.1	even	1	trivial
770.2.n.k.631.3	yes	16	11.4	even	5	inner
8470.2.a.dg.1.4		8	11.2	odd	10
8470.2.a.dh.1.4		8	11.9	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)

\(f(q)\)	\(=\)	\(q+(-0.809017 + 0.587785i) q^{2} +(-0.0652271 - 0.200748i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.809017 + 0.587785i) q^{5} +(0.170767 + 0.124069i) q^{6} +(-0.309017 + 0.951057i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.39101 - 1.73717i) q^{9} +O(q^{10})\)	\(q+(-0.809017 + 0.587785i) q^{2} +(-0.0652271 - 0.200748i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.809017 + 0.587785i) q^{5} +(0.170767 + 0.124069i) q^{6} +(-0.309017 + 0.951057i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.39101 - 1.73717i) q^{9} -1.00000 q^{10} +(-0.544486 - 3.27163i) q^{11} -0.211079 q^{12} +(0.310705 - 0.225740i) q^{13} +(-0.309017 - 0.951057i) q^{14} +(0.0652271 - 0.200748i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.71143 + 1.96997i) q^{17} +(-0.913283 + 2.81080i) q^{18} +(-1.48947 - 4.58411i) q^{19} +(0.809017 - 0.587785i) q^{20} +0.211079 q^{21} +(2.36351 + 2.32676i) q^{22} +0.683067 q^{23} +(0.170767 - 0.124069i) q^{24} +(0.309017 + 0.951057i) q^{25} +(-0.118679 + 0.365256i) q^{26} +(-1.01699 - 0.738888i) q^{27} +(0.809017 + 0.587785i) q^{28} +(0.496545 - 1.52821i) q^{29} +(0.0652271 + 0.200748i) q^{30} +(1.01752 - 0.739269i) q^{31} +1.00000 q^{32} +(-0.621258 + 0.322703i) q^{33} -3.35151 q^{34} +(-0.809017 + 0.587785i) q^{35} +(-0.913283 - 2.81080i) q^{36} +(0.264793 - 0.814950i) q^{37} +(3.89948 + 2.83314i) q^{38} +(-0.0655834 - 0.0476491i) q^{39} +(-0.309017 + 0.951057i) q^{40} +(2.97308 + 9.15021i) q^{41} +(-0.170767 + 0.124069i) q^{42} +9.55155 q^{43} +(-3.27976 - 0.493151i) q^{44} +2.95545 q^{45} +(-0.552613 + 0.401497i) q^{46} +(-2.33324 - 7.18097i) q^{47} +(-0.0652271 + 0.200748i) q^{48} +(-0.809017 - 0.587785i) q^{49} +(-0.809017 - 0.587785i) q^{50} +(0.218609 - 0.672809i) q^{51} +(-0.118679 - 0.365256i) q^{52} +(10.9530 - 7.95781i) q^{53} +1.25707 q^{54} +(1.48251 - 2.96684i) q^{55} -1.00000 q^{56} +(-0.823099 + 0.598017i) q^{57} +(0.496545 + 1.52821i) q^{58} +(2.24632 - 6.91346i) q^{59} +(-0.170767 - 0.124069i) q^{60} +(-3.14814 - 2.28726i) q^{61} +(-0.388657 + 1.19616i) q^{62} +(0.913283 + 2.81080i) q^{63} +(-0.809017 + 0.587785i) q^{64} +0.384053 q^{65} +(0.312928 - 0.626239i) q^{66} +4.97372 q^{67} +(2.71143 - 1.96997i) q^{68} +(-0.0445545 - 0.137125i) q^{69} +(0.309017 - 0.951057i) q^{70} +(-0.679927 - 0.493996i) q^{71} +(2.39101 + 1.73717i) q^{72} +(-3.19787 + 9.84204i) q^{73} +(0.264793 + 0.814950i) q^{74} +(0.170767 - 0.124069i) q^{75} -4.82002 q^{76} +(3.27976 + 0.493151i) q^{77} +0.0810656 q^{78} +(-2.72454 + 1.97949i) q^{79} +(-0.309017 - 0.951057i) q^{80} +(2.65785 - 8.18003i) q^{81} +(-7.78363 - 5.65514i) q^{82} +(8.51048 + 6.18323i) q^{83} +(0.0652271 - 0.200748i) q^{84} +(1.03567 + 3.18747i) q^{85} +(-7.72737 + 5.61426i) q^{86} -0.339174 q^{87} +(2.94325 - 1.52882i) q^{88} +15.0365 q^{89} +(-2.39101 + 1.73717i) q^{90} +(0.118679 + 0.365256i) q^{91} +(0.211079 - 0.649635i) q^{92} +(-0.214777 - 0.156044i) q^{93} +(6.10850 + 4.43808i) q^{94} +(1.48947 - 4.58411i) q^{95} +(-0.0652271 - 0.200748i) q^{96} +(-9.11528 + 6.62264i) q^{97} +1.00000 q^{98} +(-6.98523 - 6.87661i) 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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