LMFDB - Embedded newform 770.2.n.j.631.2

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:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 2 x^{11} + 11 x^{10} - 11 x^{9} + 39 x^{8} - 43 x^{7} + 99 x^{6} + 36 x^{5} + 431 x^{4} + \cdots + 25 $ x^12 - 2x^11 + 11x^10 - 11x^9 + 39x^8 - 43x^7 + 99x^6 + 36x^5 + 431x^4 - 350x^3 + 510x^2 - 175*x + 25
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			631.2
Root			$0.198931 + 0.144532i$ of defining polynomial
Character	$\chi$	$=$	770.631
Dual form			770.2.n.j.421.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(0.0759851 - 0.233858i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(0.198931 - 0.144532i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.37814 + 1.72782i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(0.0759851 - 0.233858i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(0.198931 - 0.144532i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.37814 + 1.72782i) q^{9} -1.00000 q^{10} +(-3.31659 - 0.0151188i) q^{11} +0.245893 q^{12} +(0.931963 + 0.677111i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(0.0759851 + 0.233858i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-5.30007 + 3.85073i) q^{17} +(0.908367 + 2.79567i) q^{18} +(-1.06140 + 3.26666i) q^{19} +(-0.809017 - 0.587785i) q^{20} +0.245893 q^{21} +(-2.67429 - 1.96167i) q^{22} +8.30827 q^{23} +(0.198931 + 0.144532i) q^{24} +(0.309017 - 0.951057i) q^{25} +(0.355978 + 1.09559i) q^{26} +(1.18156 - 0.858454i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(-0.906490 - 2.78989i) q^{29} +(-0.0759851 + 0.233858i) q^{30} +(5.12881 + 3.72630i) q^{31} -1.00000 q^{32} +(-0.255547 + 0.774462i) q^{33} -6.55125 q^{34} +(-0.809017 - 0.587785i) q^{35} +(-0.908367 + 2.79567i) q^{36} +(-1.19510 - 3.67814i) q^{37} +(-2.77879 + 2.01891i) q^{38} +(0.229163 - 0.166497i) q^{39} +(-0.309017 - 0.951057i) q^{40} +(-3.26193 + 10.0392i) q^{41} +(0.198931 + 0.144532i) q^{42} -2.95752 q^{43} +(-1.01050 - 3.15894i) q^{44} -2.93954 q^{45} +(6.72153 + 4.88348i) q^{46} +(-1.90664 + 5.86805i) q^{47} +(0.0759851 + 0.233858i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(0.809017 - 0.587785i) q^{50} +(0.497797 + 1.53206i) q^{51} +(-0.355978 + 1.09559i) q^{52} +(-4.33374 - 3.14865i) q^{53} +1.46049 q^{54} +(2.69206 - 1.93721i) q^{55} -1.00000 q^{56} +(0.683283 + 0.496434i) q^{57} +(0.906490 - 2.78989i) q^{58} +(-0.692706 - 2.13193i) q^{59} +(-0.198931 + 0.144532i) q^{60} +(8.07842 - 5.86932i) q^{61} +(1.95903 + 6.02928i) q^{62} +(-0.908367 + 2.79567i) q^{63} +(-0.809017 - 0.587785i) q^{64} -1.15197 q^{65} +(-0.661959 + 0.476346i) q^{66} +14.2147 q^{67} +(-5.30007 - 3.85073i) q^{68} +(0.631304 - 1.94295i) q^{69} +(-0.309017 - 0.951057i) q^{70} +(0.307605 - 0.223488i) q^{71} +(-2.37814 + 1.72782i) q^{72} +(-2.23486 - 6.87819i) q^{73} +(1.19510 - 3.67814i) q^{74} +(-0.198931 - 0.144532i) q^{75} -3.43477 q^{76} +(-1.01050 - 3.15894i) q^{77} +0.283261 q^{78} +(1.83955 + 1.33651i) q^{79} +(0.309017 - 0.951057i) q^{80} +(2.61413 + 8.04545i) q^{81} +(-8.53984 + 6.20456i) q^{82} +(9.16555 - 6.65916i) q^{83} +(0.0759851 + 0.233858i) q^{84} +(2.02445 - 6.23061i) q^{85} +(-2.39268 - 1.73839i) q^{86} -0.721318 q^{87} +(1.03926 - 3.14959i) q^{88} -4.48891 q^{89} +(-2.37814 - 1.72782i) q^{90} +(-0.355978 + 1.09559i) q^{91} +(2.56740 + 7.90163i) q^{92} +(1.26114 - 0.916271i) q^{93} +(-4.99166 + 3.62665i) q^{94} +(-1.06140 - 3.26666i) q^{95} +(-0.0759851 + 0.233858i) q^{96} +(-2.79473 - 2.03049i) q^{97} -1.00000 q^{98} +(-7.86118 - 5.76641i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) $ 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9} - 12 q^{10} - q^{11} - 2 q^{12} + 2 q^{13} + 3 q^{14} + 3 q^{15} - 3 q^{16} + 7 q^{17} + 9 q^{18} + 6 q^{19} - 3 q^{20} - 2 q^{21} + q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 7 q^{26} - 3 q^{27} - 3 q^{28} + 20 q^{29} - 3 q^{30} + 6 q^{31} - 12 q^{32} - 12 q^{33} + 18 q^{34} - 3 q^{35} - 9 q^{36} + 22 q^{37} - 6 q^{38} + 23 q^{39} + 3 q^{40} + 2 q^{41} + 2 q^{42} - 60 q^{43} - 11 q^{44} + 6 q^{45} + 2 q^{46} - 4 q^{47} + 3 q^{48} - 3 q^{49} + 3 q^{50} + 13 q^{51} + 7 q^{52} + 18 q^{53} + 8 q^{54} + 14 q^{55} - 12 q^{56} + 8 q^{57} - 20 q^{58} - 32 q^{59} - 2 q^{60} + 8 q^{61} + 14 q^{62} - 9 q^{63} - 3 q^{64} - 18 q^{65} - 8 q^{66} + 36 q^{67} + 7 q^{68} + 50 q^{69} + 3 q^{70} - 34 q^{71} - 6 q^{72} + 14 q^{73} - 22 q^{74} - 2 q^{75} - 24 q^{76} - 11 q^{77} - 38 q^{78} - 12 q^{79} - 3 q^{80} + 4 q^{81} - 2 q^{82} + 30 q^{83} + 3 q^{84} + 2 q^{85} - 28 q^{87} + q^{88} - 36 q^{89} - 6 q^{90} + 7 q^{91} - 2 q^{92} + 12 q^{93} - 11 q^{94} + 6 q^{95} - 3 q^{96} + 39 q^{97} - 12 q^{98} - 15 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9 - 12 * q^10 - q^11 - 2 * q^12 + 2 * q^13 + 3 * q^14 + 3 * q^15 - 3 * q^16 + 7 * q^17 + 9 * q^18 + 6 * q^19 - 3 * q^20 - 2 * q^21 + q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 7 * q^26 - 3 * q^27 - 3 * q^28 + 20 * q^29 - 3 * q^30 + 6 * q^31 - 12 * q^32 - 12 * q^33 + 18 * q^34 - 3 * q^35 - 9 * q^36 + 22 * q^37 - 6 * q^38 + 23 * q^39 + 3 * q^40 + 2 * q^41 + 2 * q^42 - 60 * q^43 - 11 * q^44 + 6 * q^45 + 2 * q^46 - 4 * q^47 + 3 * q^48 - 3 * q^49 + 3 * q^50 + 13 * q^51 + 7 * q^52 + 18 * q^53 + 8 * q^54 + 14 * q^55 - 12 * q^56 + 8 * q^57 - 20 * q^58 - 32 * q^59 - 2 * q^60 + 8 * q^61 + 14 * q^62 - 9 * q^63 - 3 * q^64 - 18 * q^65 - 8 * q^66 + 36 * q^67 + 7 * q^68 + 50 * q^69 + 3 * q^70 - 34 * q^71 - 6 * q^72 + 14 * q^73 - 22 * q^74 - 2 * q^75 - 24 * q^76 - 11 * q^77 - 38 * q^78 - 12 * q^79 - 3 * q^80 + 4 * q^81 - 2 * q^82 + 30 * q^83 + 3 * q^84 + 2 * q^85 - 28 * q^87 + q^88 - 36 * q^89 - 6 * q^90 + 7 * q^91 - 2 * q^92 + 12 * q^93 - 11 * q^94 + 6 * q^95 - 3 * q^96 + 39 * q^97 - 12 * q^98 - 15 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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
$3$	0.0759851	−	0.233858i	0.0438700	−	0.135018i	−0.926722	−	0.375746i	$-0.877386\pi$
$3$	0.0759851	−	0.233858i	0.0438700	−	0.135018i	0.970592	+	0.240729i	$0.0773863\pi$
$4$	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
$6$	0.198931	−	0.144532i	0.0812134	−	0.0590050i
$7$	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
$9$	2.37814	+	1.72782i	0.792712	+	0.575939i
$10$	−1.00000			−0.316228
$11$	−3.31659	−	0.0151188i	−0.999990	−	0.00455850i
$11$	−3.31659	−	0.0151188i	−0.999990	−	0.00455850i
$12$	0.245893			0.0709831
$13$	0.931963	+	0.677111i	0.258480	+	0.187797i	0.709477	−	0.704729i	$-0.248931\pi$
$13$	0.931963	+	0.677111i	0.258480	+	0.187797i	−0.450997	+	0.892526i	$0.648931\pi$
$14$	−0.309017	+	0.951057i	−0.0825883	+	0.254181i
$15$	0.0759851	+	0.233858i	0.0196193	+	0.0603819i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−5.30007	+	3.85073i	−1.28546	+	0.933938i	−0.999703	−	0.0243653i	$-0.992244\pi$
$17$	−5.30007	+	3.85073i	−1.28546	+	0.933938i	−0.285752	+	0.958303i	$0.592244\pi$
$18$	0.908367	+	2.79567i	0.214104	+	0.658945i
$19$	−1.06140	+	3.26666i	−0.243502	+	0.749423i	0.752377	+	0.658733i	$0.228907\pi$
$19$	−1.06140	+	3.26666i	−0.243502	+	0.749423i	−0.995879	+	0.0906900i	$0.971093\pi$
$20$	−0.809017	−	0.587785i	−0.180902	−	0.131433i
$21$	0.245893			0.0536582
$22$	−2.67429	−	1.96167i	−0.570161	−	0.418230i
$23$	8.30827			1.73239			0.866197	−	0.499703i	$-0.166558\pi$
$23$	8.30827			1.73239			0.866197	+	0.499703i	$0.166558\pi$
$24$	0.198931	+	0.144532i	0.0406067	+	0.0295025i
$25$	0.309017	−	0.951057i	0.0618034	−	0.190211i
$26$	0.355978	+	1.09559i	0.0698131	+	0.214863i
$27$	1.18156	−	0.858454i	0.227391	−	0.165210i
$28$	−0.809017	+	0.587785i	−0.152890	+	0.111081i
$29$	−0.906490	−	2.78989i	−0.168331	−	0.518070i	0.830935	−	0.556369i	$-0.187806\pi$
$29$	−0.906490	−	2.78989i	−0.168331	−	0.518070i	−0.999266	+	0.0382994i	$0.987806\pi$
$30$	−0.0759851	+	0.233858i	−0.0138729	+	0.0426964i
$31$	5.12881	+	3.72630i	0.921162	+	0.669264i	0.943813	−	0.330480i	$-0.107211\pi$
$31$	5.12881	+	3.72630i	0.921162	+	0.669264i	−0.0226508	+	0.999743i	$0.507211\pi$
$32$	−1.00000			−0.176777
$33$	−0.255547	+	0.774462i	−0.0444850	+	0.134817i
$34$	−6.55125			−1.12353
$35$	−0.809017	−	0.587785i	−0.136749	−	0.0993538i
$36$	−0.908367	+	2.79567i	−0.151394	+	0.465944i
$37$	−1.19510	−	3.67814i	−0.196473	−	0.604683i	−0.999956	−	0.00935492i	$-0.997022\pi$
$37$	−1.19510	−	3.67814i	−0.196473	−	0.604683i	0.803483	−	0.595328i	$-0.202978\pi$
$38$	−2.77879	+	2.01891i	−0.450779	+	0.327510i
$39$	0.229163	−	0.166497i	0.0366955	−	0.0266608i
$40$	−0.309017	−	0.951057i	−0.0488599	−	0.150375i
$41$	−3.26193	+	10.0392i	−0.509428	+	1.56786i	0.283769	+	0.958893i	$0.408415\pi$
$41$	−3.26193	+	10.0392i	−0.509428	+	1.56786i	−0.793197	+	0.608965i	$0.791585\pi$
$42$	0.198931	+	0.144532i	0.0306958	+	0.0223018i
$43$	−2.95752			−0.451018			−0.225509	−	0.974241i	$-0.572404\pi$
$43$	−2.95752			−0.451018			−0.225509	+	0.974241i	$0.572404\pi$
$44$	−1.01050	−	3.15894i	−0.152339	−	0.476228i
$45$	−2.93954			−0.438200
$46$	6.72153	+	4.88348i	0.991035	+	0.720029i
$47$	−1.90664	+	5.86805i	−0.278113	+	0.855943i	0.710266	+	0.703933i	$0.248574\pi$
$47$	−1.90664	+	5.86805i	−0.278113	+	0.855943i	−0.988379	+	0.152010i	$0.951426\pi$
$48$	0.0759851	+	0.233858i	0.0109675	+	0.0337545i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	0.809017	−	0.587785i	0.114412	−	0.0831254i
$51$	0.497797	+	1.53206i	0.0697055	+	0.214531i
$52$	−0.355978	+	1.09559i	−0.0493653	+	0.151931i
$53$	−4.33374	−	3.14865i	−0.595285	−	0.432500i	0.248917	−	0.968525i	$-0.419925\pi$
$53$	−4.33374	−	3.14865i	−0.595285	−	0.432500i	−0.844202	+	0.536025i	$0.819925\pi$
$54$	1.46049			0.198747
$55$	2.69206	−	1.93721i	0.362998	−	0.261214i
$56$	−1.00000			−0.133631
$57$	0.683283	+	0.496434i	0.0905031	+	0.0657543i
$58$	0.906490	−	2.78989i	0.119028	−	0.366331i
$59$	−0.692706	−	2.13193i	−0.0901826	−	0.277553i	0.895786	−	0.444486i	$-0.146614\pi$
$59$	−0.692706	−	2.13193i	−0.0901826	−	0.277553i	−0.985968	+	0.166933i	$0.946614\pi$
$60$	−0.198931	+	0.144532i	−0.0256819	+	0.0186590i
$61$	8.07842	−	5.86932i	1.03434	−	0.751489i	0.0651643	−	0.997875i	$-0.479243\pi$
$61$	8.07842	−	5.86932i	1.03434	−	0.751489i	0.969172	+	0.246385i	$0.0792429\pi$
$62$	1.95903	+	6.02928i	0.248797	+	0.765720i
$63$	−0.908367	+	2.79567i	−0.114443	+	0.352221i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−1.15197			−0.142884
$66$	−0.661959	+	0.476346i	−0.0814816	+	0.0586342i
$67$	14.2147			1.73660			0.868299	−	0.496041i	$-0.165213\pi$
$67$	14.2147			1.73660			0.868299	+	0.496041i	$0.165213\pi$
$68$	−5.30007	−	3.85073i	−0.642728	−	0.466969i
$69$	0.631304	−	1.94295i	0.0760001	−	0.233904i
$70$	−0.309017	−	0.951057i	−0.0369346	−	0.113673i
$71$	0.307605	−	0.223488i	0.0365060	−	0.0265231i	−0.569383	−	0.822073i	$-0.692818\pi$
$71$	0.307605	−	0.223488i	0.0365060	−	0.0265231i	0.605889	+	0.795549i	$0.292818\pi$
$72$	−2.37814	+	1.72782i	−0.280266	+	0.203625i
$73$	−2.23486	−	6.87819i	−0.261571	−	0.805031i	−0.992464	−	0.122539i	$-0.960896\pi$
$73$	−2.23486	−	6.87819i	−0.261571	−	0.805031i	0.730893	−	0.682492i	$-0.239104\pi$
$74$	1.19510	−	3.67814i	0.138928	−	0.427575i
$75$	−0.198931	−	0.144532i	−0.0229706	−	0.0166891i
$76$	−3.43477			−0.393995
$77$	−1.01050	−	3.15894i	−0.115158	−	0.359994i
$78$	0.283261			0.0320730
$79$	1.83955	+	1.33651i	0.206966	+	0.150369i	0.686440	−	0.727187i	$-0.259173\pi$
$79$	1.83955	+	1.33651i	0.206966	+	0.150369i	−0.479474	+	0.877556i	$0.659173\pi$
$80$	0.309017	−	0.951057i	0.0345492	−	0.106331i
$81$	2.61413	+	8.04545i	0.290458	+	0.893939i
$82$	−8.53984	+	6.20456i	−0.943068	+	0.685179i
$83$	9.16555	−	6.65916i	1.00605	−	0.730938i	0.0426728	−	0.999089i	$-0.486413\pi$
$83$	9.16555	−	6.65916i	1.00605	−	0.730938i	0.963377	+	0.268151i	$0.0864127\pi$
$84$	0.0759851	+	0.233858i	0.00829065	+	0.0255160i
$85$	2.02445	−	6.23061i	0.219582	−	0.675804i
$86$	−2.39268	−	1.73839i	−0.258010	−	0.187455i
$87$	−0.721318			−0.0773334
$88$	1.03926	−	3.14959i	0.110786	−	0.335748i
$89$	−4.48891			−0.475823			−0.237912	−	0.971287i	$-0.576463\pi$
$89$	−4.48891			−0.475823			−0.237912	+	0.971287i	$0.576463\pi$
$90$	−2.37814	−	1.72782i	−0.250677	−	0.182128i
$91$	−0.355978	+	1.09559i	−0.0373167	+	0.114849i
$92$	2.56740	+	7.90163i	0.267669	+	0.823802i
$93$	1.26114	−	0.916271i	0.130774	−	0.0950128i
$94$	−4.99166	+	3.62665i	−0.514850	+	0.374061i
$95$	−1.06140	−	3.26666i	−0.108898	−	0.335152i
$96$	−0.0759851	+	0.233858i	−0.00775519	+	0.0238680i
$97$	−2.79473	−	2.03049i	−0.283761	−	0.206165i	0.436795	−	0.899561i	$-0.356114\pi$
$97$	−2.79473	−	2.03049i	−0.283761	−	0.206165i	−0.720556	+	0.693396i	$0.756114\pi$
$98$	−1.00000			−0.101015
$99$	−7.86118	−	5.76641i	−0.790078	−	0.579546i
$100$	1.00000			0.100000
$101$	−2.19820	−	1.59708i	−0.218729	−	0.158916i	0.473025	−	0.881049i	$-0.343162\pi$
$101$	−2.19820	−	1.59708i	−0.218729	−	0.158916i	−0.691754	+	0.722133i	$0.743162\pi$
$102$	−0.497797	+	1.53206i	−0.0492892	+	0.151697i
$103$	−3.06218	−	9.42441i	−0.301725	−	0.928614i	−0.980879	−	0.194619i	$-0.937653\pi$
$103$	−3.06218	−	9.42441i	−0.301725	−	0.928614i	0.679154	−	0.733996i	$-0.262347\pi$
$104$	−0.931963	+	0.677111i	−0.0913865	+	0.0663962i
$105$	−0.198931	+	0.144532i	−0.0194137	+	0.0141049i
$106$	−1.65534	−	5.09462i	−0.160781	−	0.494833i
$107$	1.60283	−	4.93301i	0.154952	−	0.476892i	−0.843204	−	0.537593i	$-0.819334\pi$
$107$	1.60283	−	4.93301i	0.154952	−	0.476892i	0.998156	+	0.0607010i	$0.0193336\pi$
$108$	1.18156	+	0.858454i	0.113696	+	0.0826048i
$109$	12.1283			1.16168			0.580839	−	0.814018i	$-0.302725\pi$
$109$	12.1283			1.16168			0.580839	+	0.814018i	$0.302725\pi$
$110$	3.31659	+	0.0151188i	0.316224	+	0.00144153i
$111$	−0.950972			−0.0902623
$112$	−0.809017	−	0.587785i	−0.0764449	−	0.0555405i
$113$	4.48383	−	13.7998i	0.421804	−	1.29818i	−0.484218	−	0.874947i	$-0.660896\pi$
$113$	4.48383	−	13.7998i	0.421804	−	1.29818i	0.906022	−	0.423231i	$-0.139104\pi$
$114$	0.260991	+	0.803248i	0.0244440	+	0.0752310i
$115$	−6.72153	+	4.88348i	−0.626786	+	0.455387i
$116$	2.37322	−	1.72425i	0.220348	−	0.160092i
$117$	1.04641	+	3.22052i	0.0967408	+	0.297737i
$118$	0.692706	−	2.13193i	0.0637687	−	0.196260i
$119$	−5.30007	−	3.85073i	−0.485857	−	0.352995i
$120$	−0.245893			−0.0224468
$121$	10.9995	+	0.100286i	0.999958	+	0.00911691i
$122$	9.98548			0.904043
$123$	2.09989	+	1.52566i	0.189340	+	0.137564i
$124$	−1.95903	+	6.02928i	−0.175926	+	0.541446i
$125$	0.309017	+	0.951057i	0.0276393	+	0.0850651i
$126$	−2.37814	+	1.72782i	−0.211861	+	0.153926i
$127$	0.662099	−	0.481043i	0.0587518	−	0.0426857i	−0.558022	−	0.829826i	$-0.688439\pi$
$127$	0.662099	−	0.481043i	0.0587518	−	0.0426857i	0.616774	+	0.787141i	$0.288439\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	−0.224727	+	0.691640i	−0.0197861	+	0.0608955i
$130$	−0.931963	−	0.677111i	−0.0817386	−	0.0593866i
$131$	9.76900			0.853522			0.426761	−	0.904365i	$-0.359655\pi$
$131$	9.76900			0.853522			0.426761	+	0.904365i	$0.359655\pi$
$132$	−0.815526	−	0.00371762i	−0.0709824	−	0.000323577i
$133$	−3.43477			−0.297832
$134$	11.4999	+	8.35517i	0.993441	+	0.721777i
$135$	−0.451316	+	1.38901i	−0.0388431	+	0.119547i
$136$	−2.02445	−	6.23061i	−0.173595	−	0.534270i
$137$	5.41168	−	3.93181i	0.462351	−	0.335918i	−0.332102	−	0.943244i	$-0.607758\pi$
$137$	5.41168	−	3.93181i	0.462351	−	0.335918i	0.794453	+	0.607326i	$0.207758\pi$
$138$	1.65278	−	1.20081i	0.140694	−	0.102220i
$139$	−2.73588	−	8.42017i	−0.232054	−	0.714189i	−0.997499	−	0.0706871i	$-0.977481\pi$
$139$	−2.73588	−	8.42017i	−0.232054	−	0.714189i	0.765444	−	0.643502i	$-0.222519\pi$
$140$	0.309017	−	0.951057i	0.0261167	−	0.0803789i
$141$	1.22741	+	0.891768i	0.103367	+	0.0751004i
$142$	0.380220			0.0319074
$143$	−3.08070	−	2.25979i	−0.257621	−	0.188973i
$144$	−2.93954			−0.244961
$145$	2.37322	+	1.72425i	0.197085	+	0.143191i
$146$	2.23486	−	6.87819i	0.184958	−	0.569243i
$147$	0.0759851	+	0.233858i	0.00626714	+	0.0192883i
$148$	3.12881	−	2.27322i	0.257187	−	0.186857i
$149$	3.49896	−	2.54214i	0.286646	−	0.208260i	−0.435165	−	0.900351i	$-0.643310\pi$
$149$	3.49896	−	2.54214i	0.286646	−	0.208260i	0.721811	+	0.692090i	$0.243310\pi$
$150$	−0.0759851	−	0.233858i	−0.00620415	−	0.0190944i
$151$	−5.41219	+	16.6570i	−0.440438	+	1.35553i	0.446972	+	0.894548i	$0.352502\pi$
$151$	−5.41219	+	16.6570i	−0.440438	+	1.35553i	−0.887410	+	0.460981i	$0.847498\pi$
$152$	−2.77879	−	2.01891i	−0.225389	−	0.163755i
$153$	−19.2576			−1.55689
$154$	1.03926	−	3.14959i	0.0837461	−	0.253801i
$155$	−6.33956			−0.509206
$156$	0.229163	+	0.166497i	0.0183477	+	0.0133304i
$157$	2.53528	−	7.80280i	0.202338	−	0.622731i	−0.797475	−	0.603353i	$-0.793831\pi$
$157$	2.53528	−	7.80280i	0.202338	−	0.622731i	0.999812	−	0.0193787i	$-0.00616882\pi$
$158$	0.702647	+	2.16252i	0.0558996	+	0.172041i
$159$	−1.06564	+	0.774229i	−0.0845104	+	0.0614004i
$160$	0.809017	−	0.587785i	0.0639584	−	0.0464685i
$161$	2.56740	+	7.90163i	0.202339	+	0.622736i
$162$	−2.61413	+	8.04545i	−0.205385	+	0.632110i
$163$	9.27017	+	6.73517i	0.726096	+	0.527539i	0.888326	−	0.459214i	$-0.151869\pi$
$163$	9.27017	+	6.73517i	0.726096	+	0.527539i	−0.162230	+	0.986753i	$0.551869\pi$
$164$	−10.5558			−0.824271
$165$	−0.248476	−	0.776760i	−0.0193438	−	0.0604707i
$166$	11.3292			0.879320
$167$	0.617383	+	0.448555i	0.0477745	+	0.0347102i	0.611416	−	0.791309i	$-0.290600\pi$
$167$	0.617383	+	0.448555i	0.0477745	+	0.0347102i	−0.563642	+	0.826019i	$0.690600\pi$
$168$	−0.0759851	+	0.233858i	−0.00586237	+	0.0180425i
$169$	−3.60714	−	11.1016i	−0.277473	−	0.853973i
$170$	5.30007	−	3.85073i	0.406497	−	0.295337i
$171$	−8.16834	+	5.93465i	−0.624649	+	0.453834i
$172$	−0.913924	−	2.81277i	−0.0696861	−	0.214472i
$173$	−2.70931	+	8.33841i	−0.205985	+	0.633957i	0.793686	+	0.608327i	$0.208159\pi$
$173$	−2.70931	+	8.33841i	−0.205985	+	0.633957i	−0.999671	+	0.0256300i	$0.991841\pi$
$174$	−0.583558	−	0.423980i	−0.0442394	−	0.0321418i
$175$	1.00000			0.0755929
$176$	2.69206	−	1.93721i	0.202922	−	0.146023i
$177$	−0.551204			−0.0414310
$178$	−3.63160	−	2.63851i	−0.272200	−	0.197765i
$179$	4.64388	−	14.2924i	0.347100	−	1.06826i	−0.613350	−	0.789811i	$-0.710179\pi$
$179$	4.64388	−	14.2924i	0.347100	−	1.06826i	0.960450	−	0.278452i	$-0.0898214\pi$
$180$	−0.908367	−	2.79567i	−0.0677057	−	0.208377i
$181$	−17.1421	+	12.4544i	−1.27416	+	0.925731i	−0.999360	−	0.0357706i	$-0.988611\pi$
$181$	−17.1421	+	12.4544i	−1.27416	+	0.925731i	−0.274799	+	0.961502i	$0.588611\pi$
$182$	−0.931963	+	0.677111i	−0.0690817	+	0.0501908i
$183$	−0.758747	−	2.33518i	−0.0560882	−	0.172622i
$184$	−2.56740	+	7.90163i	−0.189271	+	0.582516i
$185$	3.12881	+	2.27322i	0.230035	+	0.167130i
$186$	1.55885			0.114301
$187$	17.6364	−	12.6911i	1.28970	−	0.928069i
$188$	−6.17003			−0.449996
$189$	1.18156	+	0.858454i	0.0859459	+	0.0624433i
$190$	1.06140	−	3.26666i	0.0770022	−	0.236988i
$191$	1.25214	+	3.85368i	0.0906014	+	0.278842i	0.986082	−	0.166257i	$-0.0531682\pi$
$191$	1.25214	+	3.85368i	0.0906014	+	0.278842i	−0.895481	+	0.445100i	$0.853168\pi$
$192$	−0.198931	+	0.144532i	−0.0143566	+	0.0104307i
$193$	16.5959	−	12.0576i	1.19460	−	0.867926i	0.200856	−	0.979621i	$-0.435628\pi$
$193$	16.5959	−	12.0576i	1.19460	−	0.867926i	0.993743	+	0.111694i	$0.0356278\pi$
$194$	−1.06749	−	3.28540i	−0.0766414	−	0.235878i
$195$	−0.0875325	+	0.269397i	−0.00626833	+	0.0192919i
$196$	−0.809017	−	0.587785i	−0.0577869	−	0.0419847i
$197$	−20.4398			−1.45628			−0.728139	−	0.685429i	$-0.759614\pi$
$197$	−20.4398			−1.45628			−0.728139	+	0.685429i	$0.759614\pi$
$198$	−2.97041	−	9.28581i	−0.211098	−	0.659914i
$199$	−3.23576			−0.229377			−0.114688	−	0.993402i	$-0.536587\pi$
$199$	−3.23576			−0.229377			−0.114688	+	0.993402i	$0.536587\pi$
$200$	0.809017	+	0.587785i	0.0572061	+	0.0415627i
$201$	1.08010	−	3.32421i	0.0761846	−	0.234472i
$202$	−0.839637	−	2.58414i	−0.0590767	−	0.181819i
$203$	2.37322	−	1.72425i	0.166568	−	0.121018i
$204$	−1.30325	+	0.946866i	−0.0912457	+	0.0662939i
$205$	−3.26193	−	10.0392i	−0.227823	−	0.701167i
$206$	3.06218	−	9.42441i	0.213352	−	0.656630i
$207$	19.7582	+	14.3552i	1.37329	+	0.997752i
$208$	−1.15197			−0.0798748
$209$	3.56962	−	10.8181i	0.246916	−	0.748305i
$210$	−0.245893			−0.0169682
$211$	9.98966	+	7.25791i	0.687717	+	0.499655i	0.875909	−	0.482477i	$-0.160263\pi$
$211$	9.98966	+	7.25791i	0.687717	+	0.499655i	−0.188192	+	0.982132i	$0.560263\pi$
$212$	1.65534	−	5.09462i	0.113689	−	0.349900i
$213$	−0.0288911	−	0.0889175i	−0.00197958	−	0.00609253i
$214$	4.19627	−	3.04877i	0.286851	−	0.208410i
$215$	2.39268	−	1.73839i	0.163180	−	0.118557i
$216$	0.451316	+	1.38901i	0.0307082	+	0.0945100i
$217$	−1.95903	+	6.02928i	−0.132988	+	0.409294i
$218$	9.81198	+	7.12882i	0.664551	+	0.482825i
$219$	−1.77834			−0.120169
$220$	2.67429	+	1.96167i	0.180301	+	0.132256i
$221$	−7.54684			−0.507655
$222$	−0.769353	−	0.558968i	−0.0516356	−	0.0375154i
$223$	2.56746	−	7.90182i	0.171930	−	0.529145i	−0.827550	−	0.561392i	$-0.810266\pi$
$223$	2.56746	−	7.90182i	0.171930	−	0.529145i	0.999480	+	0.0322466i	$0.0102662\pi$
$224$	−0.309017	−	0.951057i	−0.0206471	−	0.0635451i
$225$	2.37814	−	1.72782i	0.158542	−	0.115188i
$226$	11.7388	−	8.52876i	0.780855	−	0.567325i
$227$	−4.86088	−	14.9603i	−0.322628	−	0.992948i	−0.972500	−	0.232904i	$-0.925177\pi$
$227$	−4.86088	−	14.9603i	−0.322628	−	0.992948i	0.649872	−	0.760044i	$-0.274823\pi$
$228$	−0.260991	+	0.803248i	−0.0172846	+	0.0531964i
$229$	19.1987	+	13.9487i	1.26868	+	0.921753i	0.999149	−	0.0412376i	$-0.0131300\pi$
$229$	19.1987	+	13.9487i	1.26868	+	0.921753i	0.269535	+	0.962991i	$0.413130\pi$
$230$	−8.30827			−0.547831
$231$	−0.815526	−	0.00371762i	−0.0536577	−	0.000244601i
$232$	2.93346			0.192591
$233$	−9.62916	−	6.99599i	−0.630827	−	0.458323i	0.225860	−	0.974160i	$-0.427481\pi$
$233$	−9.62916	−	6.99599i	−0.630827	−	0.458323i	−0.856687	+	0.515837i	$0.827481\pi$
$234$	−1.04641	+	3.22052i	−0.0684061	+	0.210532i
$235$	−1.90664	−	5.86805i	−0.124376	−	0.382789i
$236$	1.81353	−	1.31760i	0.118051	−	0.0857687i
$237$	0.452333	−	0.328639i	0.0293822	−	0.0213474i
$238$	−2.02445	−	6.23061i	−0.131225	−	0.403870i
$239$	−6.74227	+	20.7506i	−0.436121	+	1.34224i	0.455812	+	0.890076i	$0.349349\pi$
$239$	−6.74227	+	20.7506i	−0.436121	+	1.34224i	−0.891933	+	0.452167i	$0.850651\pi$
$240$	−0.198931	−	0.144532i	−0.0128410	−	0.00932951i
$241$	−14.7413			−0.949569			−0.474785	−	0.880102i	$-0.657474\pi$
$241$	−14.7413			−0.949569			−0.474785	+	0.880102i	$0.657474\pi$
$242$	8.83987	+	6.54650i	0.568248	+	0.420825i
$243$	6.46159			0.414511
$244$	8.07842	+	5.86932i	0.517168	+	0.375745i
$245$	0.309017	−	0.951057i	0.0197424	−	0.0607608i
$246$	0.802085	+	2.46856i	0.0511391	+	0.157390i
$247$	−3.20108	+	2.32572i	−0.203680	+	0.147982i
$248$	−5.12881	+	3.72630i	−0.325680	+	0.236620i
$249$	−0.860853	−	2.64943i	−0.0545543	−	0.167901i
$250$	−0.309017	+	0.951057i	−0.0195440	+	0.0601501i
$251$	10.3886	+	7.54775i	0.655722	+	0.476410i	0.865216	−	0.501400i	$-0.167182\pi$
$251$	10.3886	+	7.54775i	0.655722	+	0.476410i	−0.209494	+	0.977810i	$0.567182\pi$
$252$	−2.93954			−0.185173
$253$	−27.5551	−	0.125611i	−1.73238	−	0.00789712i
$254$	0.818399			0.0513509
$255$	−1.30325	−	0.946866i	−0.0816126	−	0.0592950i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	1.76339	+	5.42717i	0.109998	+	0.338538i	0.990871	−	0.134815i	$-0.0430439\pi$
$257$	1.76339	+	5.42717i	0.109998	+	0.338538i	−0.880873	+	0.473352i	$0.843044\pi$
$258$	−0.588344	+	0.427457i	−0.0366287	+	0.0266123i
$259$	3.12881	−	2.27322i	0.194415	−	0.141251i
$260$	−0.355978	−	1.09559i	−0.0220768	−	0.0679455i
$261$	2.66466	−	8.20099i	0.164938	−	0.507628i
$262$	7.90329	+	5.74207i	0.488267	+	0.354747i
$263$	12.9095			0.796033			0.398016	−	0.917378i	$-0.369699\pi$
$263$	12.9095			0.796033			0.398016	+	0.917378i	$0.369699\pi$
$264$	−0.657589	−	0.482362i	−0.0404718	−	0.0296873i
$265$	5.35680			0.329065
$266$	−2.77879	−	2.01891i	−0.170378	−	0.123787i
$267$	−0.341090	+	1.04977i	−0.0208744	+	0.0642447i
$268$	4.39258	+	13.5190i	0.268319	+	0.825802i
$269$	−15.5857	+	11.3237i	−0.950277	+	0.690417i	−0.950872	−	0.309583i	$-0.899811\pi$
$269$	−15.5857	+	11.3237i	−0.950277	+	0.690417i	0.000595243		1.00000i	$0.499811\pi$
$270$	−1.18156	+	0.858454i	−0.0719075	+	0.0522439i
$271$	8.59629	+	26.4567i	0.522188	+	1.60713i	0.769811	+	0.638272i	$0.220351\pi$
$271$	8.59629	+	26.4567i	0.522188	+	1.60713i	−0.247623	+	0.968856i	$0.579649\pi$
$272$	2.02445	−	6.23061i	0.122750	−	0.377786i
$273$	0.229163	+	0.166497i	0.0138696	+	0.0100768i
$274$	6.68920			0.404110
$275$	−1.03926	+	3.14959i	−0.0626698	+	0.189928i
$276$	2.04294			0.122971
$277$	−10.0075	−	7.27089i	−0.601294	−	0.436866i	0.245044	−	0.969512i	$-0.421198\pi$
$277$	−10.0075	−	7.27089i	−0.601294	−	0.436866i	−0.846338	+	0.532646i	$0.821198\pi$
$278$	2.73588	−	8.42017i	0.164087	−	0.505008i
$279$	5.75865	+	17.7233i	0.344761	+	1.06107i
$280$	0.809017	−	0.587785i	0.0483480	−	0.0351269i
$281$	−17.7889	+	12.9244i	−1.06120	+	0.771005i	−0.974310	−	0.225213i	$-0.927692\pi$
$281$	−17.7889	+	12.9244i	−1.06120	+	0.771005i	−0.0868878	+	0.996218i	$0.527692\pi$
$282$	0.468830	+	1.44291i	0.0279184	+	0.0859241i
$283$	−4.27076	+	13.1441i	−0.253870	+	0.781333i	0.740180	+	0.672409i	$0.234740\pi$
$283$	−4.27076	+	13.1441i	−0.253870	+	0.781333i	−0.994050	+	0.108924i	$0.965260\pi$
$284$	0.307605	+	0.223488i	0.0182530	+	0.0132616i
$285$	−0.844585			−0.0500289
$286$	−1.16407	−	3.63900i	−0.0688329	−	0.215179i
$287$	−10.5558			−0.623091
$288$	−2.37814	−	1.72782i	−0.140133	−	0.101813i
$289$	8.00936	−	24.6503i	0.471139	−	1.45002i
$290$	0.906490	+	2.78989i	0.0532310	+	0.163828i
$291$	−0.687203	+	0.499282i	−0.0402846	+	0.0292684i
$292$	5.85094	−	4.25096i	0.342400	−	0.248768i
$293$	−5.62571	−	17.3142i	−0.328658	−	1.01150i	−0.969762	−	0.244051i	$-0.921524\pi$
$293$	−5.62571	−	17.3142i	−0.328658	−	1.01150i	0.641105	−	0.767453i	$-0.278476\pi$
$294$	−0.0759851	+	0.233858i	−0.00443154	+	0.0136389i
$295$	1.81353	+	1.31760i	0.105588	+	0.0767139i
$296$	3.86743			0.224790
$297$	−3.93173	+	2.82928i	−0.228142	+	0.164171i
$298$	4.32495			0.250538
$299$	7.74300	+	5.62562i	0.447789	+	0.325338i
$300$	0.0759851	−	0.233858i	0.00438700	−	0.0135018i
$301$	−0.913924	−	2.81277i	−0.0526777	−	0.162125i
$302$	−14.1693	+	10.2946i	−0.815352	+	0.592388i
$303$	−0.540521	+	0.392712i	−0.0310521	+	0.0225607i
$304$	−1.06140	−	3.26666i	−0.0608756	−	0.187356i
$305$	−3.08568	+	9.49676i	−0.176686	+	0.543783i
$306$	−15.5797	−	11.3193i	−0.890635	−	0.647084i
$307$	23.7729			1.35679			0.678395	−	0.734697i	$-0.262676\pi$
$307$	23.7729			1.35679			0.678395	+	0.734697i	$0.262676\pi$
$308$	2.69206	−	1.93721i	0.153395	−	0.110383i
$309$	−2.43665			−0.138616
$310$	−5.12881	−	3.72630i	−0.291297	−	0.211640i
$311$	−5.63985	+	17.3577i	−0.319806	+	0.984263i	0.653924	+	0.756560i	$0.273121\pi$
$311$	−5.63985	+	17.3577i	−0.319806	+	0.984263i	−0.973731	+	0.227703i	$0.926879\pi$
$312$	0.0875325	+	0.269397i	0.00495555	+	0.0152516i
$313$	13.2682	−	9.63989i	0.749961	−	0.544879i	−0.145854	−	0.989306i	$-0.546593\pi$
$313$	13.2682	−	9.63989i	0.749961	−	0.544879i	0.895815	+	0.444427i	$0.146593\pi$
$314$	6.63746	−	4.82240i	0.374573	−	0.272144i
$315$	−0.908367	−	2.79567i	−0.0511807	−	0.157518i
$316$	−0.702647	+	2.16252i	−0.0395270	+	0.121651i
$317$	21.2636	+	15.4489i	1.19428	+	0.867696i	0.993710	−	0.111983i	$-0.0357203\pi$
$317$	21.2636	+	15.4489i	1.19428	+	0.867696i	0.200571	+	0.979679i	$0.435720\pi$
$318$	−1.31720			−0.0738648
$319$	2.96428	+	9.26663i	0.165968	+	0.518832i
$320$	1.00000			0.0559017
$321$	−1.03183	−	0.749670i	−0.0575913	−	0.0418425i
$322$	−2.56740	+	7.90163i	−0.143075	+	0.440341i
$323$	−6.95350	−	21.4007i	−0.386903	−	1.19077i
$324$	−6.84387	+	4.97236i	−0.380215	+	0.276242i
$325$	0.931963	−	0.677111i	0.0516960	−	0.0375594i
$326$	3.54089	+	10.8977i	0.196112	+	0.603570i
$327$	0.921568	−	2.83629i	0.0509628	−	0.156847i
$328$	−8.53984	−	6.20456i	−0.471534	−	0.342589i
$329$	−6.17003			−0.340165
$330$	0.255547	−	0.774462i	0.0140674	−	0.0426327i
$331$	24.6604			1.35546			0.677729	−	0.735312i	$-0.262964\pi$
$331$	24.6604			1.35546			0.677729	+	0.735312i	$0.262964\pi$
$332$	9.16555	+	6.65916i	0.503025	+	0.365469i
$333$	3.51304	−	10.8120i	0.192514	−	0.592496i
$334$	0.235819	+	0.725777i	0.0129035	+	0.0397127i
$335$	−11.4999	+	8.35517i	−0.628307	+	0.456492i
$336$	−0.198931	+	0.144532i	−0.0108526	+	0.00788488i
$337$	−2.37268	−	7.30235i	−0.129248	−	0.397784i	0.865403	−	0.501076i	$-0.167062\pi$
$337$	−2.37268	−	7.30235i	−0.129248	−	0.397784i	−0.994651	+	0.103292i	$0.967062\pi$
$338$	3.60714	−	11.1016i	0.196203	−	0.603850i
$339$	−2.88649	−	2.09716i	−0.156773	−	0.113902i
$340$	6.55125			0.355291
$341$	−16.9538	−	12.4362i	−0.918102	−	0.673456i
$342$	−10.0966			−0.545963
$343$	−0.809017	−	0.587785i	−0.0436828	−	0.0317374i
$344$	0.913924	−	2.81277i	0.0492755	−	0.151654i
$345$	0.631304	+	1.94295i	0.0339883	+	0.104605i
$346$	−7.09307	+	5.15342i	−0.381326	+	0.277050i
$347$	−14.8317	+	10.7759i	−0.796209	+	0.578480i	−0.909800	−	0.415048i	$-0.863765\pi$
$347$	−14.8317	+	10.7759i	−0.796209	+	0.578480i	0.113590	+	0.993528i	$0.463765\pi$
$348$	−0.222899	−	0.686014i	−0.0119487	−	0.0367742i
$349$	−1.95440	+	6.01501i	−0.104616	+	0.321976i	−0.989640	−	0.143569i	$-0.954142\pi$
$349$	−1.95440	+	6.01501i	−0.104616	+	0.321976i	0.885024	+	0.465546i	$0.154142\pi$
$350$	0.809017	+	0.587785i	0.0432438	+	0.0314184i
$351$	1.68244			0.0898020
$352$	3.31659	+	0.0151188i	0.176775	+	0.000805837i
$353$	−18.7476			−0.997834			−0.498917	−	0.866650i	$-0.666269\pi$
$353$	−18.7476			−0.997834			−0.498917	+	0.866650i	$0.666269\pi$
$354$	−0.445933	−	0.323989i	−0.0237011	−	0.0172198i
$355$	−0.117495	+	0.361611i	−0.00623596	+	0.0191923i
$356$	−1.38715	−	4.26920i	−0.0735187	−	0.226267i
$357$	−1.30325	+	0.946866i	−0.0689752	+	0.0501134i
$358$	12.1578	−	8.83318i	0.642561	−	0.466848i
$359$	6.44017	+	19.8208i	0.339899	+	1.04610i	0.964258	+	0.264964i	$0.0853602\pi$
$359$	6.44017	+	19.8208i	0.339899	+	1.04610i	−0.624359	+	0.781137i	$0.714640\pi$
$360$	0.908367	−	2.79567i	0.0478751	−	0.147345i
$361$	5.82684	+	4.23345i	0.306676	+	0.222813i
$362$	−21.1888			−1.11366
$363$	0.859254	−	2.56471i	0.0450991	−	0.134612i
$364$	−1.15197			−0.0603796
$365$	5.85094	+	4.25096i	0.306252	+	0.222505i
$366$	0.758747	−	2.33518i	0.0396604	−	0.122062i
$367$	−7.92307	−	24.3847i	−0.413581	−	1.27287i	−0.913514	−	0.406807i	$-0.866642\pi$
$367$	−7.92307	−	24.3847i	−0.413581	−	1.27287i	0.499934	−	0.866064i	$-0.333358\pi$
$368$	−6.72153	+	4.88348i	−0.350384	+	0.254569i
$369$	−25.1032	+	18.2385i	−1.30682	+	0.949460i
$370$	1.19510	+	3.67814i	0.0621303	+	0.191217i
$371$	1.65534	−	5.09462i	0.0859410	−	0.264499i
$372$	1.26114	+	0.916271i	0.0653870	+	0.0475064i
$373$	−34.9239			−1.80829			−0.904146	−	0.427223i	$-0.859492\pi$
$373$	−34.9239			−1.80829			−0.904146	+	0.427223i	$0.859492\pi$
$374$	21.7278	+	0.0990473i	1.12352	+	0.00512161i
$375$	0.245893			0.0126978
$376$	−4.99166	−	3.62665i	−0.257425	−	0.187030i
$377$	1.04425	−	3.21387i	0.0537816	−	0.165523i
$378$	0.451316	+	1.38901i	0.0232132	+	0.0714429i
$379$	−1.07121	+	0.778279i	−0.0550243	+	0.0399775i	−0.614957	−	0.788560i	$-0.710827\pi$
$379$	−1.07121	+	0.778279i	−0.0550243	+	0.0399775i	0.559933	+	0.828538i	$0.310827\pi$
$380$	2.77879	−	2.01891i	0.142549	−	0.103568i
$381$	−0.0621861	−	0.191389i	−0.00318589	−	0.00980516i
$382$	−1.25214	+	3.85368i	−0.0640648	+	0.197171i
$383$	−1.95972	−	1.42382i	−0.100137	−	0.0727537i	0.536590	−	0.843843i	$-0.319712\pi$
$383$	−1.95972	−	1.42382i	−0.100137	−	0.0727537i	−0.636727	+	0.771089i	$0.719712\pi$
$384$	−0.245893			−0.0125482
$385$	2.67429	+	1.96167i	0.136295	+	0.0999762i
$386$	20.5136			1.04412
$387$	−7.03338	−	5.11005i	−0.357527	−	0.259759i
$388$	1.06749	−	3.28540i	0.0541936	−	0.166791i
$389$	−6.56806	−	20.2144i	−0.333014	−	1.02491i	−0.967692	−	0.252135i	$-0.918867\pi$
$389$	−6.56806	−	20.2144i	−0.333014	−	1.02491i	0.634678	−	0.772777i	$-0.281133\pi$
$390$	−0.229163	+	0.166497i	−0.0116041	+	0.00843089i
$391$	−44.0344	+	31.9929i	−2.22691	+	1.61795i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	0.742298	−	2.28456i	0.0374440	−	0.115241i
$394$	−16.5362	−	12.0142i	−0.833080	−	0.605268i
$395$	−2.27381			−0.114408
$396$	3.05495	−	9.25834i	0.153517	−	0.465249i
$397$	12.8715			0.646003			0.323001	−	0.946398i	$-0.395308\pi$
$397$	12.8715			0.646003			0.323001	+	0.946398i	$0.395308\pi$
$398$	−2.61779	−	1.90193i	−0.131218	−	0.0953353i
$399$	−0.260991	+	0.803248i	−0.0130659	+	0.0402127i
$400$	0.309017	+	0.951057i	0.0154508	+	0.0475528i
$401$	9.03882	−	6.56708i	0.451377	−	0.327945i	−0.338762	−	0.940872i	$-0.610008\pi$
$401$	9.03882	−	6.56708i	0.451377	−	0.327945i	0.790139	+	0.612927i	$0.210008\pi$
$402$	2.82775	−	2.05448i	0.141035	−	0.102468i
$403$	2.25675	+	6.94555i	0.112417	+	0.345983i
$404$	0.839637	−	2.58414i	0.0417735	−	0.128566i
$405$	−6.84387	−	4.97236i	−0.340075	−	0.247079i
$406$	2.93346			0.145585
$407$	3.90805	+	12.2170i	0.193715	+	0.605572i
$408$	−1.61090			−0.0797516
$409$	−11.9159	−	8.65742i	−0.589204	−	0.428082i	0.252826	−	0.967512i	$-0.418640\pi$
$409$	−11.9159	−	8.65742i	−0.589204	−	0.428082i	−0.842031	+	0.539430i	$0.818640\pi$
$410$	3.26193	−	10.0392i	0.161095	−	0.495800i
$411$	−0.508279	−	1.56432i	−0.0250716	−	0.0771624i
$412$	8.01688	−	5.82460i	0.394963	−	0.286958i
$413$	1.81353	−	1.31760i	0.0892378	−	0.0648351i
$414$	7.54695	+	23.2271i	0.370913	+	1.14155i
$415$	−3.50093	+	10.7747i	−0.171854	+	0.528912i
$416$	−0.931963	−	0.677111i	−0.0456933	−	0.0331981i
$417$	−2.17701			−0.106609
$418$	9.24662	−	6.65387i	0.452267	−	0.325451i
$419$	−14.1913			−0.693290			−0.346645	−	0.937996i	$-0.612679\pi$
$419$	−14.1913			−0.693290			−0.346645	+	0.937996i	$0.612679\pi$
$420$	−0.198931	−	0.144532i	−0.00970686	−	0.00705245i
$421$	−8.05282	+	24.7840i	−0.392470	+	1.20790i	0.538444	+	0.842661i	$0.319012\pi$
$421$	−8.05282	+	24.7840i	−0.392470	+	1.20790i	−0.930914	+	0.365238i	$0.880988\pi$
$422$	3.81571	+	11.7435i	0.185746	+	0.571667i
$423$	−14.6732	+	10.6607i	−0.713434	+	0.518340i
$424$	4.33374	−	3.14865i	0.210465	−	0.152912i
$425$	2.02445	+	6.23061i	0.0982001	+	0.302229i
$426$	0.0288911	−	0.0889175i	0.00139978	−	0.00430807i
$427$	8.07842	+	5.86932i	0.390942	+	0.284036i
$428$	5.18688			0.250717
$429$	−0.762557	+	0.548737i	−0.0368166	+	0.0264933i
$430$	2.95752			0.142624
$431$	15.2214	+	11.0590i	0.733188	+	0.532692i	0.890570	−	0.454846i	$-0.150306\pi$
$431$	15.2214	+	11.0590i	0.733188	+	0.532692i	−0.157383	+	0.987538i	$0.550306\pi$
$432$	−0.451316	+	1.38901i	−0.0217140	+	0.0668287i
$433$	6.30482	+	19.4042i	0.302990	+	0.932508i	0.980420	+	0.196920i	$0.0630939\pi$
$433$	6.30482	+	19.4042i	0.302990	+	0.932508i	−0.677429	+	0.735588i	$0.736906\pi$
$434$	−5.12881	+	3.72630i	−0.246191	+	0.178868i
$435$	0.583558	−	0.423980i	0.0279795	−	0.0203283i
$436$	3.74784	+	11.5347i	0.179489	+	0.552411i
$437$	−8.81841	+	27.1403i	−0.421842	+	1.29829i
$438$	−1.43870	−	1.04528i	−0.0687439	−	0.0499454i
$439$	17.5292			0.836621			0.418311	−	0.908304i	$-0.362622\pi$
$439$	17.5292			0.836621			0.418311	+	0.908304i	$0.362622\pi$
$440$	1.01050	+	3.15894i	0.0481739	+	0.150596i
$441$	−2.93954			−0.139978
$442$	−6.10552	−	4.43592i	−0.290410	−	0.210995i
$443$	−8.09469	+	24.9129i	−0.384591	+	1.18365i	0.552186	+	0.833721i	$0.313794\pi$
$443$	−8.09469	+	24.9129i	−0.384591	+	1.18365i	−0.936777	+	0.349927i	$0.886206\pi$
$444$	−0.293867	−	0.904429i	−0.0139463	−	0.0429223i
$445$	3.63160	−	2.63851i	0.172154	−	0.125078i
$446$	6.72169	−	4.88359i	0.318281	−	0.231245i
$447$	−0.328631	−	1.01142i	−0.0155437	−	0.0478387i
$448$	0.309017	−	0.951057i	0.0145997	−	0.0449332i
$449$	7.68323	+	5.58219i	0.362594	+	0.263440i	0.754133	−	0.656721i	$-0.228057\pi$
$449$	7.68323	+	5.58219i	0.362594	+	0.263440i	−0.391539	+	0.920161i	$0.628057\pi$
$450$	2.93954			0.138571
$451$	10.9703	−	33.2466i	0.516570	−	1.56552i
$452$	14.5100			0.682493
$453$	3.48413	+	2.53137i	0.163699	+	0.118934i
$454$	4.86088	−	14.9603i	0.228133	−	0.702120i
$455$	−0.355978	−	1.09559i	−0.0166885	−	0.0513620i
$456$	−0.683283	+	0.496434i	−0.0319977	+	0.0232477i
$457$	−14.1912	+	10.3105i	−0.663835	+	0.482304i	−0.867956	−	0.496641i	$-0.834566\pi$
$457$	−14.1912	+	10.3105i	−0.663835	+	0.482304i	0.204121	+	0.978946i	$0.434566\pi$
$458$	7.33324	+	22.5694i	0.342660	+	1.05460i
$459$	−2.95668	+	9.09973i	−0.138006	+	0.424739i
$460$	−6.72153	−	4.88348i	−0.313393	−	0.227693i
$461$	−22.6720			−1.05594			−0.527970	−	0.849263i	$-0.677047\pi$
$461$	−22.6720			−1.05594			−0.527970	+	0.849263i	$0.677047\pi$
$462$	−0.657589	−	0.482362i	−0.0305938	−	0.0224415i
$463$	−26.9554			−1.25272			−0.626362	−	0.779532i	$-0.715457\pi$
$463$	−26.9554			−1.25272			−0.626362	+	0.779532i	$0.715457\pi$
$464$	2.37322	+	1.72425i	0.110174	+	0.0800462i
$465$	−0.481712	+	1.48256i	−0.0223389	+	0.0687519i
$466$	−3.67801	−	11.3198i	−0.170381	−	0.524377i
$467$	−11.9506	+	8.68264i	−0.553009	+	0.401785i	−0.828894	−	0.559406i	$-0.811029\pi$
$467$	−11.9506	+	8.68264i	−0.553009	+	0.401785i	0.275885	+	0.961191i	$0.411029\pi$
$468$	−2.73954	+	1.99039i	−0.126635	+	0.0920059i
$469$	4.39258	+	13.5190i	0.202830	+	0.624247i
$470$	1.90664	−	5.86805i	0.0879469	−	0.270673i
$471$	−1.63210	−	1.18579i	−0.0752034	−	0.0546384i
$472$	2.24164			0.103180
$473$	9.80888	+	0.0447143i	0.451013	+	0.00205597i
$474$	0.559114			0.0256810
$475$	2.77879	+	2.01891i	0.127499	+	0.0926337i
$476$	2.02445	−	6.23061i	0.0927903	−	0.285579i
$477$	−4.86594	−	14.9758i	−0.222796	−	0.685695i
$478$	−17.6515	+	12.8246i	−0.807361	+	0.586582i
$479$	25.7445	−	18.7045i	1.17630	−	0.854630i	0.184548	−	0.982824i	$-0.440918\pi$
$479$	25.7445	−	18.7045i	1.17630	−	0.854630i	0.991749	+	0.128194i	$0.0409179\pi$
$480$	−0.0759851	−	0.233858i	−0.00346823	−	0.0106741i
$481$	1.37672	−	4.23711i	0.0627730	−	0.193196i
$482$	−11.9259	−	8.66470i	−0.543212	−	0.394666i
$483$	2.04294			0.0929571
$484$	3.30367	+	10.4922i	0.150167	+	0.476917i
$485$	3.45447			0.156859
$486$	5.22754	+	3.79803i	0.237126	+	0.172282i
$487$	7.68415	−	23.6494i	0.348202	−	1.07166i	−0.611645	−	0.791132i	$-0.709492\pi$
$487$	7.68415	−	23.6494i	0.348202	−	1.07166i	0.959847	−	0.280524i	$-0.0905081\pi$
$488$	3.08568	+	9.49676i	0.139682	+	0.429898i
$489$	2.27947	−	1.65613i	0.103081	−	0.0748928i
$490$	0.809017	−	0.587785i	0.0365477	−	0.0265534i
$491$	−12.9322	−	39.8013i	−0.583623	−	1.79621i	−0.604730	−	0.796430i	$-0.706719\pi$
$491$	−12.9322	−	39.8013i	−0.583623	−	1.79621i	0.0211073	−	0.999777i	$-0.493281\pi$
$492$	−0.802085	+	2.46856i	−0.0361608	+	0.111291i
$493$	15.5476	+	11.2960i	0.700227	+	0.508745i
$494$	−3.95675			−0.178023
$495$	9.74924	+	0.0444424i	0.438196	+	0.00199754i
$496$	−6.33956			−0.284655
$497$	0.307605	+	0.223488i	0.0137980	+	0.0100248i
$498$	0.860853	−	2.64943i	0.0385757	−	0.118724i
$499$	7.67446	+	23.6195i	0.343556	+	1.05736i	0.962352	+	0.271805i	$0.0876205\pi$
$499$	7.67446	+	23.6195i	0.343556	+	1.05736i	−0.618797	+	0.785551i	$0.712379\pi$
$500$	−0.809017	+	0.587785i	−0.0361803	+	0.0262866i
$501$	0.151810	−	0.110296i	0.00678237	−	0.00492768i
$502$	3.96809	+	12.2125i	0.177104	+	0.545071i
$503$	2.75924	−	8.49207i	0.123028	−	0.378643i	−0.870508	−	0.492154i	$-0.836210\pi$
$503$	2.75924	−	8.49207i	0.123028	−	0.378643i	0.993537	+	0.113511i	$0.0362098\pi$
$504$	−2.37814	−	1.72782i	−0.105931	−	0.0769631i
$505$	2.71712			0.120910
$506$	−22.2187	−	16.2981i	−0.987743	−	0.724539i
$507$	−2.87030			−0.127474
$508$	0.662099	+	0.481043i	0.0293759	+	0.0213428i
$509$	7.06674	−	21.7492i	0.313228	−	0.964016i	−0.663250	−	0.748398i	$-0.730823\pi$
$509$	7.06674	−	21.7492i	0.313228	−	0.964016i	0.976478	−	0.215618i	$-0.0691767\pi$
$510$	−0.497797	−	1.53206i	−0.0220428	−	0.0678408i
$511$	5.85094	−	4.25096i	0.258830	−	0.188051i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	1.55017	+	4.77092i	0.0684415	+	0.210641i
$514$	−1.76339	+	5.42717i	−0.0777800	+	0.239382i
$515$	8.01688	+	5.82460i	0.353266	+	0.256663i
$516$	−0.727233			−0.0320147
$517$	6.41228	−	19.4331i	0.282012	−	0.854666i
$518$	3.86743			0.169925
$519$	1.74414	+	1.26719i	0.0765591	+	0.0556234i
$520$	0.355978	−	1.09559i	0.0156107	−	0.0480447i
$521$	−10.6342	−	32.7288i	−0.465895	−	1.43388i	−0.857854	−	0.513893i	$-0.828203\pi$
$521$	−10.6342	−	32.7288i	−0.465895	−	1.43388i	0.391960	−	0.919982i	$-0.371797\pi$
$522$	6.97618	−	5.06849i	0.305339	−	0.221842i
$523$	5.42297	−	3.94002i	0.237130	−	0.172285i	−0.462874	−	0.886424i	$-0.653182\pi$
$523$	5.42297	−	3.94002i	0.237130	−	0.172285i	0.700004	+	0.714139i	$0.253182\pi$
$524$	3.01879	+	9.29087i	0.131876	+	0.405874i
$525$	0.0759851	−	0.233858i	0.00331626	−	0.0102064i
$526$	10.4440	+	7.58800i	0.455380	+	0.330853i
$527$	−41.5320			−1.80916
$528$	−0.248476	−	0.776760i	−0.0108135	−	0.0338041i
$529$	46.0273			2.00119
$530$	4.33374	+	3.14865i	0.188246	+	0.136768i
$531$	2.03623	−	6.26688i	0.0883650	−	0.271960i
$532$	−1.06140	−	3.26666i	−0.0460176	−	0.141628i
$533$	−9.83764	+	7.14747i	−0.426116	+	0.309591i
$534$	−0.892985	+	0.648791i	−0.0386432	+	0.0280759i
$535$	1.60283	+	4.93301i	0.0692965	+	0.213273i
$536$	−4.39258	+	13.5190i	−0.189730	+	0.583930i
$537$	−2.98952	−	2.17202i	−0.129007	−	0.0937294i
$538$	−19.2650			−0.830573
$539$	2.69206	−	1.93721i	0.115955	−	0.0834416i
$540$	−1.46049			−0.0628495
$541$	13.2696	+	9.64090i	0.570503	+	0.414495i	0.835288	−	0.549813i	$-0.185301\pi$
$541$	13.2696	+	9.64090i	0.570503	+	0.414495i	−0.264785	+	0.964308i	$0.585301\pi$
$542$	−8.59629	+	26.4567i	−0.369242	+	1.13641i
$543$	1.61003	+	4.95516i	0.0690929	+	0.212646i
$544$	5.30007	−	3.85073i	0.227239	−	0.165099i
$545$	−9.81198	+	7.12882i	−0.420299	+	0.305365i
$546$	0.0875325	+	0.269397i	0.00374605	+	0.0115291i
$547$	−2.16266	+	6.65599i	−0.0924688	+	0.284590i	−0.986586	−	0.163244i	$-0.947804\pi$
$547$	−2.16266	+	6.65599i	−0.0924688	+	0.284590i	0.894117	+	0.447834i	$0.147804\pi$
$548$	5.41168	+	3.93181i	0.231175	+	0.167959i
$549$	29.3527			1.25274
$550$	−2.69206	+	1.93721i	−0.114790	+	0.0826030i
$551$	10.0758			0.429242
$552$	1.65278	+	1.20081i	0.0703468	+	0.0511099i
$553$	−0.702647	+	2.16252i	−0.0298796	+	0.0919599i
$554$	−3.82254	−	11.7646i	−0.162404	−	0.499828i
$555$	0.769353	−	0.558968i	0.0326572	−	0.0237269i
$556$	7.16262	−	5.20395i	0.303763	−	0.220697i
$557$	4.38325	+	13.4902i	0.185724	+	0.571600i	0.999960	−	0.00893401i	$-0.00284382\pi$
$557$	4.38325	+	13.4902i	0.185724	+	0.571600i	−0.814236	+	0.580534i	$0.802844\pi$
$558$	−5.75865	+	17.7233i	−0.243783	+	0.750287i
$559$	−2.75630	−	2.00257i	−0.116579	−	0.0846997i
$560$	1.00000			0.0422577
$561$	−1.62782	−	5.08874i	−0.0687268	−	0.214847i
$562$	−21.9883			−0.927520
$563$	21.5403	+	15.6500i	0.907817	+	0.659568i	0.940462	−	0.339899i	$-0.110393\pi$
$563$	21.5403	+	15.6500i	0.907817	+	0.659568i	−0.0326445	+	0.999467i	$0.510393\pi$
$564$	−0.468830	+	1.44291i	−0.0197413	+	0.0607575i
$565$	4.48383	+	13.7998i	0.188636	+	0.580563i
$566$	−11.1810	+	8.12347i	−0.469972	+	0.341455i
$567$	−6.84387	+	4.97236i	−0.287415	+	0.208820i
$568$	0.117495	+	0.361611i	0.00492996	+	0.0151729i
$569$	−0.401649	+	1.23615i	−0.0168380	+	0.0518220i	−0.959122	−	0.282991i	$-0.908673\pi$
$569$	−0.401649	+	1.23615i	−0.0168380	+	0.0518220i	0.942284	+	0.334813i	$0.108673\pi$
$570$	−0.683283	−	0.496434i	−0.0286196	−	0.0207933i
$571$	−24.2338			−1.01415			−0.507076	−	0.861901i	$-0.669274\pi$
$571$	−24.2338			−1.01415			−0.507076	+	0.861901i	$0.669274\pi$
$572$	1.19720	−	3.62824i	0.0500574	−	0.151704i
$573$	0.996357			0.0416234
$574$	−8.53984	−	6.20456i	−0.356446	−	0.258973i
$575$	2.56740	−	7.90163i	0.107068	−	0.329521i
$576$	−0.908367	−	2.79567i	−0.0378486	−	0.116486i
$577$	30.7400	−	22.3339i	1.27972	−	0.929774i	0.280179	−	0.959948i	$-0.409606\pi$
$577$	30.7400	−	22.3339i	1.27972	−	0.929774i	0.999545	+	0.0301741i	$0.00960619\pi$
$578$	20.9688	−	15.2347i	0.872186	−	0.633680i
$579$	−1.55873	−	4.79728i	−0.0647786	−	0.199368i
$580$	−0.906490	+	2.78989i	−0.0376400	+	0.115844i
$581$	9.16555	+	6.65916i	0.380251	+	0.276269i
$582$	−0.849430			−0.0352100
$583$	14.3256	+	10.5083i	0.593307	+	0.435209i
$584$	7.23216			0.299269
$585$	−2.73954	−	1.99039i	−0.113266	−	0.0822926i
$586$	5.62571	−	17.3142i	0.232396	−	0.715241i
$587$	1.71351	+	5.27363i	0.0707240	+	0.217666i	0.980171	−	0.198154i	$-0.0634946\pi$
$587$	1.71351	+	5.27363i	0.0707240	+	0.217666i	−0.909447	+	0.415820i	$0.863495\pi$
$588$	−0.198931	+	0.144532i	−0.00820379	+	0.00596041i
$589$	−17.6163	+	12.7990i	−0.725866	+	0.527373i
$590$	0.692706	+	2.13193i	0.0285182	+	0.0877701i
$591$	−1.55312	+	4.78002i	−0.0638869	+	0.196624i
$592$	3.12881	+	2.27322i	0.128593	+	0.0934286i
$593$	−45.5378			−1.87001			−0.935006	−	0.354633i	$-0.884606\pi$
$593$	−45.5378			−1.87001			−0.935006	+	0.354633i	$0.884606\pi$
$594$	−4.84384	−	0.0220809i	−0.198745	−	0.000905991i
$595$	6.55125			0.268575
$596$	3.49896	+	2.54214i	0.143323	+	0.104130i
$597$	−0.245869	+	0.756708i	−0.0100628	+	0.0309700i
$598$	2.95756	+	9.10244i	0.120944	+	0.372227i
$599$	−30.9358	+	22.4762i	−1.26400	+	0.918353i	−0.998947	−	0.0458796i	$-0.985391\pi$
$599$	−30.9358	+	22.4762i	−1.26400	+	0.918353i	−0.265057	+	0.964233i	$0.585391\pi$
$600$	0.198931	−	0.144532i	0.00812134	−	0.00590050i
$601$	12.9397	+	39.8243i	0.527821	+	1.62447i	0.758669	+	0.651477i	$0.225850\pi$
$601$	12.9397	+	39.8243i	0.527821	+	1.62447i	−0.230847	+	0.972990i	$0.574150\pi$
$602$	0.913924	−	2.81277i	0.0372488	−	0.114640i
$603$	33.8044	+	24.5603i	1.37662	+	1.00017i
$604$	−17.5142			−0.712644
$605$	−8.95776	+	6.38424i	−0.364185	+	0.259556i
$606$	−0.668121			−0.0271406
$607$	−5.55804	−	4.03816i	−0.225594	−	0.163904i	0.469247	−	0.883067i	$-0.344525\pi$
$607$	−5.55804	−	4.03816i	−0.225594	−	0.163904i	−0.694841	+	0.719163i	$0.744525\pi$
$608$	1.06140	−	3.26666i	0.0430455	−	0.132480i
$609$	−0.222899	−	0.686014i	−0.00903234	−	0.0277987i
$610$	−8.07842	+	5.86932i	−0.327086	+	0.237642i
$611$	−5.75024	+	4.17780i	−0.232630	+	0.169016i
$612$	−5.95093	−	18.3151i	−0.240552	−	0.740344i
$613$	11.7082	−	36.0343i	0.472892	−	1.45541i	−0.375889	−	0.926665i	$-0.622663\pi$
$613$	11.7082	−	36.0343i	0.472892	−	1.45541i	0.848780	−	0.528746i	$-0.177337\pi$
$614$	19.2327	+	13.9734i	0.776167	+	0.563919i
$615$	−2.59560			−0.104665
$616$	3.31659	+	0.0151188i	0.133629	+	0.000609156i
$617$	19.7135			0.793636			0.396818	−	0.917897i	$-0.370114\pi$
$617$	19.7135			0.793636			0.396818	+	0.917897i	$0.370114\pi$
$618$	−1.97129	−	1.43223i	−0.0792970	−	0.0576127i
$619$	14.0046	−	43.1019i	0.562894	−	1.73241i	−0.111233	−	0.993794i	$-0.535480\pi$
$619$	14.0046	−	43.1019i	0.562894	−	1.73241i	0.674127	−	0.738615i	$-0.264520\pi$
$620$	−1.95903	−	6.02928i	−0.0786766	−	0.242142i
$621$	9.81672	−	7.13227i	0.393931	−	0.286208i
$622$	−14.7653	+	10.7276i	−0.592035	+	0.430139i
$623$	−1.38715	−	4.26920i	−0.0555749	−	0.171042i
$624$	−0.0875325	+	0.269397i	−0.00350410	+	0.0107845i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	16.4004			0.655490
$627$	−2.25867	−	1.65680i	−0.0902024	−	0.0661662i
$628$	8.20435			0.327389
$629$	20.4976	+	14.8924i	0.817294	+	0.593799i
$630$	0.908367	−	2.79567i	0.0361902	−	0.111382i
$631$	−9.05893	−	27.8805i	−0.360630	−	1.10991i	−0.952672	−	0.303999i	$-0.901678\pi$
$631$	−9.05893	−	27.8805i	−0.360630	−	1.10991i	0.592042	−	0.805907i	$-0.298322\pi$
$632$	−1.83955	+	1.33651i	−0.0731735	+	0.0531636i
$633$	2.45639	−	1.78467i	0.0976326	−	0.0709342i
$634$	8.12196	+	24.9968i	0.322564	+	0.992751i
$635$	−0.252899	+	0.778344i	−0.0100360	+	0.0308876i
$636$	−1.06564	−	0.774229i	−0.0422552	−	0.0307002i
$637$	−1.15197			−0.0456427
$638$	−3.04864	+	9.23922i	−0.120697	+	0.365784i
$639$	1.11767			0.0442144
$640$	0.809017	+	0.587785i	0.0319792	+	0.0232343i
$641$	−6.79035	+	20.8986i	−0.268203	+	0.825443i	0.722735	+	0.691125i	$0.242885\pi$
$641$	−6.79035	+	20.8986i	−0.268203	+	0.825443i	−0.990938	+	0.134319i	$0.957115\pi$
$642$	−0.394125	−	1.21299i	−0.0155549	−	0.0478730i
$643$	37.5979	−	27.3165i	1.48272	−	1.07726i	0.506050	−	0.862504i	$-0.331105\pi$
$643$	37.5979	−	27.3165i	1.48272	−	1.07726i	0.976668	−	0.214753i	$-0.0688948\pi$
$644$	−6.72153	+	4.88348i	−0.264865	+	0.192436i
$645$	−0.224727	−	0.691640i	−0.00884863	−	0.0272333i
$646$	6.95350	−	21.4007i	0.273582	−	0.841999i
$647$	−15.6531	−	11.3726i	−0.615387	−	0.447105i	0.235920	−	0.971772i	$-0.424190\pi$
$647$	−15.6531	−	11.3726i	−0.615387	−	0.447105i	−0.851307	+	0.524668i	$0.824190\pi$
$648$	−8.45949			−0.332320
$649$	2.26519	+	7.08121i	0.0889164	+	0.277962i
$650$	1.15197			0.0451840
$651$	1.26114	+	0.916271i	0.0494279	+	0.0359115i
$652$	−3.54089	+	10.8977i	−0.138672	+	0.426788i
$653$	11.4067	+	35.1063i	0.446380	+	1.37382i	0.880964	+	0.473184i	$0.156895\pi$
$653$	11.4067	+	35.1063i	0.446380	+	1.37382i	−0.434584	+	0.900631i	$0.643105\pi$
$654$	2.41270	−	1.75293i	0.0943439	−	0.0685448i
$655$	−7.90329	+	5.74207i	−0.308807	+	0.224361i
$656$	−3.26193	−	10.0392i	−0.127357	−	0.391964i
$657$	6.56945	−	20.2187i	0.256299	−	0.788807i
$658$	−4.99166	−	3.62665i	−0.194595	−	0.141382i
$659$	−24.3913			−0.950151			−0.475075	−	0.879945i	$-0.657579\pi$
$659$	−24.3913			−0.950151			−0.475075	+	0.879945i	$0.657579\pi$
$660$	0.661959	−	0.476346i	0.0257667	−	0.0185418i
$661$	−5.60864			−0.218151			−0.109075	−	0.994033i	$-0.534789\pi$
$661$	−5.60864			−0.218151			−0.109075	+	0.994033i	$0.534789\pi$
$662$	19.9507	+	14.4950i	0.775405	+	0.563365i
$663$	−0.573447	+	1.76489i	−0.0222708	+	0.0685426i
$664$	3.50093	+	10.7747i	0.135862	+	0.418141i
$665$	2.77879	−	2.01891i	0.107757	−	0.0782898i
$666$	9.19726	−	6.68220i	0.356387	−	0.258930i
$667$	−7.53136	−	23.1792i	−0.291616	−	0.897500i
$668$	−0.235819	+	0.725777i	−0.00912412	+	0.0280812i
$669$	−1.65281	−	1.20084i	−0.0639015	−	0.0464272i
$670$	−14.2147			−0.549161
$671$	−26.8816	+	19.3440i	−1.03775	+	0.746766i
$672$	−0.245893			−0.00948552
$673$	−22.3745	−	16.2560i	−0.862474	−	0.626624i	0.0660828	−	0.997814i	$-0.478950\pi$
$673$	−22.3745	−	16.2560i	−0.862474	−	0.626624i	−0.928557	+	0.371190i	$0.878950\pi$
$674$	2.37268	−	7.30235i	0.0913921	−	0.281276i
$675$	−0.451316	−	1.38901i	−0.0173712	−	0.0534629i
$676$	9.44363	−	6.86120i	0.363216	−	0.263892i
$677$	23.2034	−	16.8582i	0.891778	−	0.647915i	−0.0445628	−	0.999007i	$-0.514189\pi$
$677$	23.2034	−	16.8582i	0.891778	−	0.647915i	0.936341	+	0.351092i	$0.114189\pi$
$678$	−1.10254	−	3.39328i	−0.0423429	−	0.130318i
$679$	1.06749	−	3.28540i	0.0409665	−	0.126082i
$680$	5.30007	+	3.85073i	0.203248	+	0.147669i
$681$	−3.86793			−0.148219
$682$	−6.40615	−	20.0263i	−0.245304	−	0.766846i
$683$	−38.9631			−1.49088			−0.745440	−	0.666572i	$-0.767761\pi$
$683$	−38.9631			−1.49088			−0.745440	+	0.666572i	$0.767761\pi$
$684$	−8.16834	−	5.93465i	−0.312324	−	0.226917i
$685$	−2.06708	+	6.36181i	−0.0789790	+	0.243072i
$686$	−0.309017	−	0.951057i	−0.0117983	−	0.0363115i
$687$	4.72082	−	3.42987i	0.180110	−	0.130858i
$688$	2.39268	−	1.73839i	0.0912202	−	0.0662754i
$689$	−1.90690	−	5.86885i	−0.0726472	−	0.223585i
$690$	−0.631304	+	1.94295i	−0.0240333	+	0.0739670i
$691$	12.1733	+	8.84445i	0.463096	+	0.336459i	0.794745	−	0.606944i	$-0.207605\pi$
$691$	12.1733	+	8.84445i	0.463096	+	0.336459i	−0.331649	+	0.943403i	$0.607605\pi$
$692$	−8.76752			−0.333291
$693$	3.05495	−	9.25834i	0.116048	−	0.351695i
$694$	−18.3330			−0.695912
$695$	7.16262	+	5.20395i	0.271694	+	0.197397i
$696$	0.222899	−	0.686014i	0.00844898	−	0.0260033i
$697$	−21.3697	−	65.7692i	−0.809435	−	2.49119i
$698$	−5.11668	+	3.71748i	−0.193669	+	0.140709i
$699$	−2.36774	+	1.72026i	−0.0895561	+	0.0650663i
$700$	0.309017	+	0.951057i	0.0116797	+	0.0359466i
$701$	8.32792	−	25.6307i	0.314541	−	0.968058i	−0.661402	−	0.750032i	$-0.730038\pi$
$701$	8.32792	−	25.6307i	0.314541	−	0.968058i	0.975943	−	0.218026i	$-0.0699619\pi$
$702$	1.36112	+	0.988913i	0.0513723	+	0.0373241i
$703$	13.2837			0.501005
$704$	2.67429	+	1.96167i	0.100791	+	0.0739334i
$705$	−1.51717			−0.0571398
$706$	−15.1671	−	11.0196i	−0.570823	−	0.414727i
$707$	0.839637	−	2.58414i	0.0315778	−	0.0971865i
$708$	−0.170331	−	0.524226i	−0.00640144	−	0.0197016i
$709$	22.7327	−	16.5163i	0.853745	−	0.620282i	−0.0724308	−	0.997373i	$-0.523076\pi$
$709$	22.7327	−	16.5163i	0.853745	−	0.620282i	0.926176	+	0.377091i	$0.123076\pi$
$710$	−0.307605	+	0.223488i	−0.0115442	+	0.00838735i
$711$	2.06546	+	6.35682i	0.0774606	+	0.238399i
$712$	1.38715	−	4.26920i	0.0519856	−	0.159995i
$713$	42.6116	+	30.9591i	1.59582	+	1.15943i
$714$	−1.61090			−0.0602866
$715$	3.82061	+	0.0174165i	0.142883	+	0.000651339i
$716$	15.0279			0.561619
$717$	4.34038	+	3.15347i	0.162094	+	0.117768i
$718$	−6.44017	+	19.8208i	−0.240345	+	0.739706i
$719$	−10.5649	−	32.5154i	−0.394004	−	1.21262i	−0.929735	−	0.368230i	$-0.879964\pi$
$719$	−10.5649	−	32.5154i	−0.394004	−	1.21262i	0.535731	−	0.844389i	$-0.320036\pi$
$720$	2.37814	−	1.72782i	0.0886279	−	0.0643919i
$721$	8.01688	−	5.82460i	0.298564	−	0.216920i
$722$	2.22566	+	6.84986i	0.0828303	+	0.254925i
$723$	−1.12012	+	3.44736i	−0.0416576	+	0.128209i
$724$	−17.1421	−	12.4544i	−0.637080	−	0.462865i
$725$	−2.93346			−0.108946
$726$	2.20265	−	1.56984i	0.0817480	−	0.0582621i
$727$	46.8368			1.73708			0.868541	−	0.495618i	$-0.165058\pi$
$727$	46.8368			1.73708			0.868541	+	0.495618i	$0.165058\pi$
$728$	−0.931963	−	0.677111i	−0.0345409	−	0.0250954i
$729$	−7.35139	+	22.6253i	−0.272274	+	0.837972i
$730$	2.23486	+	6.87819i	0.0827159	+	0.254573i
$731$	15.6751	−	11.3886i	0.579763	−	0.421223i
$732$	1.98643	−	1.44322i	0.0734204	−	0.0533431i
$733$	−1.48607	−	4.57365i	−0.0548893	−	0.168932i	0.919854	−	0.392262i	$-0.128307\pi$
$733$	−1.48607	−	4.57365i	−0.0548893	−	0.168932i	−0.974743	+	0.223330i	$0.928307\pi$
$734$	7.92307	−	24.3847i	0.292446	−	0.900055i
$735$	−0.198931	−	0.144532i	−0.00733770	−	0.00533115i
$736$	−8.30827			−0.306247
$737$	−47.1442	−	0.214909i	−1.73658	−	0.00791629i
$738$	−31.0292			−1.14220
$739$	−6.14866	−	4.46727i	−0.226182	−	0.164331i	0.468923	−	0.883239i	$-0.344642\pi$
$739$	−6.14866	−	4.46727i	−0.226182	−	0.164331i	−0.695105	+	0.718908i	$0.744642\pi$
$740$	−1.19510	+	3.67814i	−0.0439328	+	0.135211i
$741$	0.300654	+	0.925317i	0.0110448	+	0.0339924i
$742$	4.33374	−	3.14865i	0.159097	−	0.115590i
$743$	41.7437	−	30.3286i	1.53143	−	1.11265i	0.575991	−	0.817456i	$-0.304616\pi$
$743$	41.7437	−	30.3286i	1.53143	−	1.11265i	0.955438	−	0.295192i	$-0.0953837\pi$
$744$	0.481712	+	1.48256i	0.0176604	+	0.0543532i
$745$	−1.33648	+	4.11327i	−0.0489649	+	0.150699i
$746$	−28.2541	−	20.5278i	−1.03445	−	0.751575i
$747$	33.3027			1.21848
$748$	17.5199	+	12.8514i	0.640592	+	0.469894i
$749$	5.18688			0.189524
$750$	0.198931	+	0.144532i	0.00726395	+	0.00527757i
$751$	14.0081	−	43.1126i	0.511164	−	1.57320i	−0.278990	−	0.960294i	$-0.590000\pi$
$751$	14.0081	−	43.1126i	0.511164	−	1.57320i	0.790154	−	0.612908i	$-0.210000\pi$
$752$	−1.90664	−	5.86805i	−0.0695282	−	0.213986i
$753$	2.55448	−	1.85594i	0.0930904	−	0.0676341i
$754$	2.73388	−	1.98628i	0.0995621	−	0.0723361i
$755$	−5.41219	−	16.6570i	−0.196970	−	0.606211i
$756$	−0.451316	+	1.38901i	−0.0164142	+	0.0505177i
$757$	−31.9741	−	23.2305i	−1.16212	−	0.844327i	−0.172073	−	0.985084i	$-0.555046\pi$
$757$	−31.9741	−	23.2305i	−1.16212	−	0.844327i	−0.990044	+	0.140757i	$0.955046\pi$
$758$	−1.32409			−0.0480930
$759$	−2.12315	+	6.43444i	−0.0770655	+	0.233555i
$760$	3.43477			0.124592
$761$	−21.9343	−	15.9362i	−0.795116	−	0.577686i	0.114361	−	0.993439i	$-0.463518\pi$
$761$	−21.9343	−	15.9362i	−0.795116	−	0.577686i	−0.909477	+	0.415754i	$0.863518\pi$
$762$	0.0621861	−	0.191389i	0.00225277	−	0.00693330i
$763$	3.74784	+	11.5347i	0.135681	+	0.417583i
$764$	−3.27813	+	2.38170i	−0.118599	+	0.0861670i
$765$	15.5797	−	11.3193i	0.563287	−	0.409252i
$766$	−0.748546	−	2.30379i	−0.0270461	−	0.0832392i
$767$	0.797976	−	2.45592i	0.0288133	−	0.0886781i
$768$	−0.198931	−	0.144532i	−0.00717832	−	0.00521536i
$769$	18.0791			0.651948			0.325974	−	0.945379i	$-0.394308\pi$
$769$	18.0791			0.651948			0.325974	+	0.945379i	$0.394308\pi$
$770$	1.01050	+	3.15894i	0.0364160	+	0.113840i
$771$	1.40318			0.0505342
$772$	16.5959	+	12.0576i	0.597299	+	0.433963i
$773$	−11.6525	+	35.8628i	−0.419112	+	1.28989i	0.489408	+	0.872055i	$0.337213\pi$
$773$	−11.6525	+	35.8628i	−0.419112	+	1.28989i	−0.908521	+	0.417840i	$0.862787\pi$
$774$	−2.68651	−	8.26824i	−0.0965647	−	0.297196i
$775$	5.12881	−	3.72630i	0.184232	−	0.133853i
$776$	2.79473	−	2.03049i	0.100325	−	0.0728903i
$777$	−0.293867	−	0.904429i	−0.0105424	−	0.0324462i
$778$	6.56806	−	20.2144i	0.235477	−	0.724722i
$779$	−29.3324	−	21.3112i	−1.05094	−	0.763554i
$780$	−0.283261			−0.0101424
$781$	−1.02358	+	0.736567i	−0.0366265	+	0.0263564i
$782$	−54.4295			−1.94639
$783$	−3.46607	−	2.51824i	−0.123867	−	0.0899947i
$784$	0.309017	−	0.951057i	0.0110363	−	0.0339663i
$785$	2.53528	+	7.80280i	0.0904882	+	0.278494i
$786$	1.94336	−	1.41193i	0.0693174	−	0.0503620i
$787$	−3.84001	+	2.78993i	−0.136882	+	0.0994502i	−0.654119	−	0.756392i	$-0.726960\pi$
$787$	−3.84001	+	2.78993i	−0.136882	+	0.0994502i	0.517237	+	0.855842i	$0.326960\pi$
$788$	−6.31626	−	19.4394i	−0.225007	−	0.692501i
$789$	0.980928	−	3.01899i	0.0349220	−	0.107479i
$790$	−1.83955	−	1.33651i	−0.0654483	−	0.0475510i
$791$	14.5100			0.515916
$792$	7.91342	−	5.69450i	0.281191	−	0.202345i
$793$	11.5030			0.408483
$794$	10.4133	+	7.56569i	0.369553	+	0.268496i
$795$	0.407036	−	1.25273i	0.0144361	−	0.0444297i
$796$	−0.999905	−	3.07739i	−0.0354407	−	0.109075i
$797$	20.6172	−	14.9793i	0.730300	−	0.530594i	−0.159358	−	0.987221i	$-0.550942\pi$
$797$	20.6172	−	14.9793i	0.730300	−	0.530594i	0.889658	+	0.456627i	$0.150942\pi$
$798$	−0.683283	+	0.496434i	−0.0241880	+	0.0175736i
$799$	−12.4909	−	38.4430i	−0.441896	−	1.36002i
$800$	−0.309017	+	0.951057i	−0.0109254	+	0.0336249i
$801$	−10.6752	−	7.75601i	−0.377191	−	0.274045i
$802$	11.1726			0.394518
$803$	7.30812	+	22.8459i	0.257898	+	0.806215i
$804$	3.49529			0.123269
$805$	−6.72153	−	4.88348i	−0.236903	−	0.172120i
$806$	−2.25675	+	6.94555i	−0.0794905	+	0.244647i
$807$	1.46385	+	4.50527i	0.0515300	+	0.158593i
$808$	2.19820	−	1.59708i	0.0773323	−	0.0561852i
$809$	5.85807	−	4.25613i	0.205959	−	0.149638i	−0.480025	−	0.877255i	$-0.659372\pi$
$809$	5.85807	−	4.25613i	0.205959	−	0.149638i	0.685983	+	0.727617i	$0.259372\pi$
$810$	−2.61413	−	8.04545i	−0.0918510	−	0.282688i
$811$	3.84816	−	11.8434i	0.135127	−	0.415879i	−0.860483	−	0.509480i	$-0.829838\pi$
$811$	3.84816	−	11.8434i	0.135127	−	0.415879i	0.995610	+	0.0936012i	$0.0298379\pi$
$812$	2.37322	+	1.72425i	0.0832838	+	0.0605092i
$813$	6.84029			0.239900
$814$	−4.01927	+	12.1808i	−0.140875	+	0.426938i
$815$	−11.4586			−0.401376
$816$	−1.30325	−	0.946866i	−0.0456228	−	0.0331469i
$817$	3.13912	−	9.66121i	0.109824	−	0.338003i
$818$	−4.55148	−	14.0080i	−0.159139	−	0.489778i
$819$	−2.73954	+	1.99039i	−0.0957273	+	0.0695500i
$820$	8.53984	−	6.20456i	0.298224	−	0.216673i
$821$	−5.11984	−	15.7573i	−0.178684	−	0.549932i	0.821099	−	0.570786i	$-0.193361\pi$
$821$	−5.11984	−	15.7573i	−0.178684	−	0.549932i	−0.999783	+	0.0208541i	$0.993361\pi$
$822$	0.508279	−	1.56432i	0.0177283	−	0.0545620i
$823$	23.3785	+	16.9855i	0.814924	+	0.592077i	0.915254	−	0.402877i	$-0.131990\pi$
$823$	23.3785	+	16.9855i	0.814924	+	0.592077i	−0.100330	+	0.994954i	$0.531990\pi$
$824$	9.90941			0.345211
$825$	0.657589	+	0.482362i	0.0228943	+	0.0167937i
$826$	2.24164			0.0779967
$827$	18.2141	+	13.2333i	0.633367	+	0.460168i	0.857565	−	0.514376i	$-0.171976\pi$
$827$	18.2141	+	13.2333i	0.633367	+	0.460168i	−0.224198	+	0.974544i	$0.571976\pi$
$828$	−7.54695	+	23.2271i	−0.262275	+	0.807199i
$829$	−8.61415	−	26.5116i	−0.299182	−	0.920787i	−0.981785	−	0.189997i	$-0.939152\pi$
$829$	−8.61415	−	26.5116i	−0.299182	−	0.920787i	0.682603	−	0.730790i	$-0.260848\pi$
$830$	−9.16555	+	6.65916i	−0.318141	+	0.231143i
$831$	−2.46078	+	1.78786i	−0.0853635	+	0.0620202i
$832$	−0.355978	−	1.09559i	−0.0123413	−	0.0379827i
$833$	2.02445	−	6.23061i	0.0701429	−	0.215878i
$834$	−1.76124	−	1.27961i	−0.0609866	−	0.0443094i
$835$	−0.763127			−0.0264091
$836$	11.3917	+	0.0519297i	0.393991	+	0.00179603i
$837$	9.25886			0.320033
$838$	−11.4810	−	8.34143i	−0.396604	−	0.288150i
$839$	9.89965	−	30.4680i	0.341774	−	1.05187i	−0.621515	−	0.783403i	$-0.713482\pi$
$839$	9.89965	−	30.4680i	0.341774	−	1.05187i	0.963288	−	0.268469i	$-0.0865177\pi$
$840$	−0.0759851	−	0.233858i	−0.00262173	−	0.00806887i
$841$	16.4997	−	11.9878i	0.568956	−	0.413371i
$842$	−21.0825	+	15.3174i	−0.726553	+	0.527871i
$843$	1.67078	+	5.14214i	0.0575448	+	0.177105i
$844$	−3.81571	+	11.7435i	−0.131342	+	0.404230i
$845$	9.44363	+	6.86120i	0.324871	+	0.236032i
$846$	−18.1370			−0.623564
$847$	3.30367	+	10.4922i	0.113515	+	0.360515i
$848$	5.35680			0.183953
$849$	2.74933	+	1.99750i	0.0943567	+	0.0685541i
$850$	−2.02445	+	6.23061i	−0.0694379	+	0.213708i
$851$	−9.92921	−	30.5590i	−0.340369	−	1.04755i
$852$	0.0756378	−	0.0549541i	0.00259131	−	0.00188269i
$853$	−16.4527	+	11.9536i	−0.563329	+	0.409282i	−0.832676	−	0.553761i	$-0.813192\pi$
$853$	−16.4527	+	11.9536i	−0.563329	+	0.409282i	0.269347	+	0.963043i	$0.413192\pi$
$854$	3.08568	+	9.49676i	0.105590	+	0.324972i
$855$	3.12003	−	9.60246i	0.106703	−	0.328397i
$856$	4.19627	+	3.04877i	0.143426	+	0.104205i
$857$	52.8958			1.80689			0.903444	−	0.428706i	$-0.141031\pi$
$857$	52.8958			1.80689			0.903444	+	0.428706i	$0.141031\pi$
$858$	−0.939461	−	0.00428258i	−0.0320727	−	0.000146205i
$859$	−56.9360			−1.94263			−0.971315	−	0.237797i	$-0.923575\pi$
$859$	−56.9360			−1.94263			−0.971315	+	0.237797i	$0.923575\pi$
$860$	2.39268	+	1.73839i	0.0815899	+	0.0592785i
$861$	−0.802085	+	2.46856i	−0.0273350	+	0.0841284i
$862$	5.81405	+	17.8938i	0.198027	+	0.609465i
$863$	13.3892	−	9.72782i	0.455773	−	0.331139i	−0.336098	−	0.941827i	$-0.609107\pi$
$863$	13.3892	−	9.72782i	0.455773	−	0.331139i	0.791871	+	0.610688i	$0.209107\pi$
$864$	−1.18156	+	0.858454i	−0.0401975	+	0.0292052i
$865$	−2.70931	−	8.33841i	−0.0921194	−	0.283514i
$866$	−6.30482	+	19.4042i	−0.214246	+	0.659382i
$867$	−5.15607	−	3.74610i	−0.175109	−	0.127224i
$868$	−6.33956			−0.215179
$869$	−6.08084	−	4.46048i	−0.206278	−	0.151311i
$870$	0.721318			0.0244550
$871$	13.2476	+	9.62491i	0.448876	+	0.326128i
$872$	−3.74784	+	11.5347i	−0.126918	+	0.390613i
$873$	−3.13793	−	9.65755i	−0.106203	−	0.326858i
$874$	−23.0869	+	16.7736i	−0.780926	+	0.567376i
$875$	−0.809017	+	0.587785i	−0.0273498	+	0.0198708i
$876$	−0.549536	−	1.69130i	−0.0185671	−	0.0571437i
$877$	−14.8895	+	45.8253i	−0.502784	+	1.54741i	0.301681	+	0.953409i	$0.402452\pi$
$877$	−14.8895	+	45.8253i	−0.502784	+	1.54741i	−0.804465	+	0.594000i	$0.797548\pi$
$878$	14.1814	+	10.3034i	0.478599	+	0.347722i
$879$	−4.47652			−0.150989
$880$	−1.03926	+	3.14959i	−0.0350335	+	0.106173i
$881$	−42.1700			−1.42074			−0.710372	−	0.703827i	$-0.751473\pi$
$881$	−42.1700			−1.42074			−0.710372	+	0.703827i	$0.751473\pi$
$882$	−2.37814	−	1.72782i	−0.0800760	−	0.0581786i
$883$	12.1167	−	37.2914i	0.407760	−	1.25496i	−0.510809	−	0.859694i	$-0.670654\pi$
$883$	12.1167	−	37.2914i	0.407760	−	1.25496i	0.918569	−	0.395261i	$-0.129346\pi$
$884$	−2.33210	−	7.17747i	−0.0784371	−	0.241404i
$885$	0.445933	−	0.323989i	0.0149899	−	0.0108908i
$886$	−21.1922	+	15.3970i	−0.711965	+	0.517273i
$887$	13.9204	+	42.8425i	0.467401	+	1.43851i	0.855938	+	0.517078i	$0.172980\pi$
$887$	13.9204	+	42.8425i	0.467401	+	1.43851i	−0.388538	+	0.921433i	$0.627020\pi$
$888$	0.293867	−	0.904429i	0.00986152	−	0.0303506i
$889$	0.662099	+	0.481043i	0.0222061	+	0.0161337i
$890$	4.48891			0.150468
$891$	−8.54834	−	26.7230i	−0.286380	−	0.895254i
$892$	8.30846			0.278188
$893$	−17.1452	−	12.4567i	−0.573742	−	0.416848i
$894$	0.328631	−	1.01142i	0.0109911	−	0.0338271i
$895$	4.64388	+	14.2924i	0.155228	+	0.477742i
$896$	0.809017	−	0.587785i	0.0270274	−	0.0196365i
$897$	1.90395	−	1.38330i	0.0635710	−	0.0461870i
$898$	2.93473	+	9.03218i	0.0979333	+	0.301408i
$899$	5.74675	−	17.6867i	0.191665	−	0.589884i
$900$	2.37814	+	1.72782i	0.0792712	+	0.0575939i
$901$	35.0937			1.16914
$902$	28.4170	−	20.4489i	0.946181	−	0.680873i
$903$	−0.727233			−0.0242008
$904$	11.7388	+	8.52876i	0.390428	+	0.283662i
$905$	6.54768	−	20.1517i	0.217652	−	0.669865i
$906$	1.33082	+	4.09584i	0.0442135	+	0.136075i
$907$	−29.8450	+	21.6836i	−0.990986	+	0.719993i	−0.960137	−	0.279531i	$-0.909821\pi$
$907$	−29.8450	+	21.6836i	−0.990986	+	0.719993i	−0.0308489	+	0.999524i	$0.509821\pi$
$908$	12.7260	−	9.24595i	0.422326	−	0.306838i
$909$	−2.46814	−	7.59617i	−0.0818632	−	0.251949i
$910$	0.355978	−	1.09559i	0.0118006	−	0.0363184i
$911$	16.7136	+	12.1431i	0.553746	+	0.402320i	0.829165	−	0.559004i	$-0.188817\pi$
$911$	16.7136	+	12.1431i	0.553746	+	0.402320i	−0.275419	+	0.961324i	$0.588817\pi$
$912$	−0.844585			−0.0279670
$913$	−30.4990	+	21.9471i	−1.00937	+	0.726344i
$914$	−17.5412			−0.580213
$915$	1.98643	+	1.44322i	0.0656692	+	0.0477115i
$916$	−7.33324	+	22.5694i	−0.242297	+	0.745714i
$917$	3.01879	+	9.29087i	0.0996891	+	0.306812i
$918$	−7.74069	+	5.62394i	−0.255481	+	0.185618i
$919$	−32.6043	+	23.6884i	−1.07552	+	0.781409i	−0.976896	−	0.213716i	$-0.931443\pi$
$919$	−32.6043	+	23.6884i	−1.07552	+	0.781409i	−0.0986215	+	0.995125i	$0.531443\pi$
$920$	−2.56740	−	7.90163i	−0.0846445	−	0.260509i
$921$	1.80638	−	5.55948i	0.0595224	−	0.183191i
$922$	−18.3420	−	13.3263i	−0.604063	−	0.438877i
$923$	0.438002			0.0144170
$924$	−0.248476	−	0.776760i	−0.00817425	−	0.0255535i
$925$	−3.86743			−0.127160
$926$	−21.8074	−	15.8440i	−0.716635	−	0.520666i
$927$	9.00138	−	27.7034i	0.295644	−	0.909899i
$928$	0.906490	+	2.78989i	0.0297570	+	0.0915826i
$929$	6.04153	−	4.38943i	0.198216	−	0.144013i	−0.484250	−	0.874930i	$-0.660907\pi$
$929$	6.04153	−	4.38943i	0.198216	−	0.144013i	0.682466	+	0.730917i	$0.260907\pi$
$930$	−1.26114	+	0.916271i	−0.0413544	+	0.0300457i
$931$	−1.06140	−	3.26666i	−0.0347860	−	0.107060i
$932$	3.67801	−	11.3198i	0.120477	−	0.370791i
$933$	3.63068	+	2.63785i	0.118863	+	0.0863592i
$934$	−14.7718			−0.483348
$935$	−6.80846	+	20.6338i	−0.222660	+	0.674796i
$936$	−3.38626			−0.110683
$937$	19.1343	+	13.9019i	0.625091	+	0.454156i	0.854696	−	0.519128i	$-0.173743\pi$
$937$	19.1343	+	13.9019i	0.625091	+	0.454156i	−0.229605	+	0.973284i	$0.573743\pi$
$938$	−4.39258	+	13.5190i	−0.143423	+	0.441410i
$939$	−1.24618	−	3.83535i	−0.0406676	−	0.125162i
$940$	4.99166	−	3.62665i	0.162810	−	0.118288i
$941$	27.5249	−	19.9980i	0.897286	−	0.651916i	−0.0404818	−	0.999180i	$-0.512889\pi$
$941$	27.5249	−	19.9980i	0.897286	−	0.651916i	0.937767	+	0.347264i	$0.112889\pi$
$942$	−0.623408	−	1.91865i	−0.0203117	−	0.0625131i
$943$	−27.1010	+	83.4082i	−0.882529	+	2.71615i
$944$	1.81353	+	1.31760i	0.0590253	+	0.0428844i
$945$	−1.46049			−0.0475097
$946$	7.90927	+	5.80169i	0.257153	+	0.188629i
$947$	16.1828			0.525871			0.262935	−	0.964813i	$-0.415309\pi$
$947$	16.1828			0.525871			0.262935	+	0.964813i	$0.415309\pi$
$948$	0.452333	+	0.328639i	0.0146911	+	0.0106737i
$949$	2.57449	−	7.92347i	0.0835715	−	0.257207i
$950$	1.06140	+	3.26666i	0.0344364	+	0.105984i
$951$	5.22856	−	3.79877i	0.169548	−	0.123184i
$952$	5.30007	−	3.85073i	0.171776	−	0.124803i
$953$	17.0540	+	52.4868i	0.552433	+	1.70021i	0.702628	+	0.711557i	$0.252010\pi$
$953$	17.0540	+	52.4868i	0.552433	+	1.70021i	−0.150196	+	0.988656i	$0.547990\pi$
$954$	4.86594	−	14.9758i	0.157541	−	0.484860i
$955$	−3.27813	−	2.38170i	−0.106078	−	0.0770701i
$956$	−21.8184			−0.705659
$957$	2.39232	+	0.0109055i	0.0773326	+	0.000352525i
$958$	31.8220			1.02812
$959$	5.41168	+	3.93181i	0.174752	+	0.126965i
$960$	0.0759851	−	0.233858i	0.00245241	−	0.00754773i
$961$	2.83988	+	8.74026i	0.0916091	+	0.281944i
$962$	3.60430	−	2.61868i	0.116207	−	0.0844295i
$963$	12.3351	−	8.96197i	0.397493	−	0.288795i
$964$	−4.55530	−	14.0198i	−0.146716	−	0.451547i
$965$	−6.33907	+	19.5096i	−0.204062	+	0.628037i
$966$	1.65278	+	1.20081i	0.0531772	+	0.0386355i
$967$	−48.0059			−1.54376			−0.771882	−	0.635765i	$-0.780685\pi$
$967$	−48.0059			−1.54376			−0.771882	+	0.635765i	$0.780685\pi$
$968$	−3.49442	+	10.4302i	−0.112315	+	0.335239i
$969$	−5.53308			−0.177748
$970$	2.79473	+	2.03049i	0.0897333	+	0.0651950i
$971$	2.60097	−	8.00498i	0.0834693	−	0.256892i	−0.900608	−	0.434632i	$-0.856879\pi$
$971$	2.60097	−	8.00498i	0.0834693	−	0.256892i	0.984078	+	0.177740i	$0.0568785\pi$
$972$	1.99674	+	6.14534i	0.0640455	+	0.197112i
$973$	7.16262	−	5.20395i	0.229623	−	0.166831i
$974$	20.1174	−	14.6161i	0.644602	−	0.468331i
$975$	−0.0875325	−	0.269397i	−0.00280328	−	0.00862762i
$976$	−3.08568	+	9.49676i	−0.0987703	+	0.303984i
$977$	−27.2819	−	19.8214i	−0.872824	−	0.634144i	0.0585190	−	0.998286i	$-0.481362\pi$
$977$	−27.2819	−	19.8214i	−0.872824	−	0.634144i	−0.931343	+	0.364142i	$0.881362\pi$
$978$	2.81758			0.0900962
$979$	14.8879	+	0.0678671i	0.475818	+	0.00216904i
$980$	1.00000			0.0319438
$981$	28.8427	+	20.9554i	0.920876	+	0.669056i
$982$	12.9322	−	39.8013i	0.412684	−	1.27011i
$983$	5.04004	+	15.5116i	0.160752	+	0.494744i	0.998698	−	0.0510088i	$-0.0162437\pi$
$983$	5.04004	+	15.5116i	0.160752	+	0.494744i	−0.837946	+	0.545753i	$0.816244\pi$
$984$	−2.09989	+	1.52566i	−0.0669419	+	0.0486361i
$985$	16.5362	−	12.0142i	0.526886	−	0.382805i
$986$	5.93864	+	18.2773i	0.189125	+	0.582067i
$987$	−0.468830	+	1.44291i	−0.0149230	+	0.0459284i
$988$	−3.20108	−	2.32572i	−0.101840	−	0.0739910i
$989$	−24.5719			−0.781340
$990$	7.86118	+	5.76641i	0.249845	+	0.183269i
$991$	1.23518			0.0392367			0.0196183	−	0.999808i	$-0.493755\pi$
$991$	1.23518			0.0392367			0.0196183	+	0.999808i	$0.493755\pi$
$992$	−5.12881	−	3.72630i	−0.162840	−	0.118310i
$993$	1.87382	−	5.76703i	0.0594639	−	0.183011i
$994$	0.117495	+	0.361611i	0.00372670	+	0.0114696i
$995$	2.61779	−	1.90193i	0.0829894	−	0.0602953i
$996$	2.25374	−	1.63744i	0.0714126	−	0.0518843i
$997$	−2.61319	−	8.04258i	−0.0827606	−	0.254711i	0.901111	−	0.433589i	$-0.142753\pi$
$997$	−2.61319	−	8.04258i	−0.0827606	−	0.254711i	−0.983871	+	0.178878i	$0.942753\pi$
$998$	−7.67446	+	23.6195i	−0.242931	+	0.747664i
$999$	−4.56960	−	3.32001i	−0.144576	−	0.105040i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.n.j.631.2	yes	12
11.3	even	5	inner	770.2.n.j.421.2	✓	12
11.5	even	5		8470.2.a.cw.1.4		6
11.6	odd	10		8470.2.a.dc.1.4		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.n.j.421.2	✓	12	11.3	even	5	inner
770.2.n.j.631.2	yes	12	1.1	even	1	trivial
8470.2.a.cw.1.4		6	11.5	even	5
8470.2.a.dc.1.4		6	11.6	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.0759851 - 0.233858i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(0.198931 - 0.144532i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.37814 + 1.72782i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.0759851 - 0.233858i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(0.198931 - 0.144532i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.37814 + 1.72782i) q^{9} -1.00000 q^{10} +(-3.31659 - 0.0151188i) q^{11} +0.245893 q^{12} +(0.931963 + 0.677111i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(0.0759851 + 0.233858i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-5.30007 + 3.85073i) q^{17} +(0.908367 + 2.79567i) q^{18} +(-1.06140 + 3.26666i) q^{19} +(-0.809017 - 0.587785i) q^{20} +0.245893 q^{21} +(-2.67429 - 1.96167i) q^{22} +8.30827 q^{23} +(0.198931 + 0.144532i) q^{24} +(0.309017 - 0.951057i) q^{25} +(0.355978 + 1.09559i) q^{26} +(1.18156 - 0.858454i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(-0.906490 - 2.78989i) q^{29} +(-0.0759851 + 0.233858i) q^{30} +(5.12881 + 3.72630i) q^{31} -1.00000 q^{32} +(-0.255547 + 0.774462i) q^{33} -6.55125 q^{34} +(-0.809017 - 0.587785i) q^{35} +(-0.908367 + 2.79567i) q^{36} +(-1.19510 - 3.67814i) q^{37} +(-2.77879 + 2.01891i) q^{38} +(0.229163 - 0.166497i) q^{39} +(-0.309017 - 0.951057i) q^{40} +(-3.26193 + 10.0392i) q^{41} +(0.198931 + 0.144532i) q^{42} -2.95752 q^{43} +(-1.01050 - 3.15894i) q^{44} -2.93954 q^{45} +(6.72153 + 4.88348i) q^{46} +(-1.90664 + 5.86805i) q^{47} +(0.0759851 + 0.233858i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(0.809017 - 0.587785i) q^{50} +(0.497797 + 1.53206i) q^{51} +(-0.355978 + 1.09559i) q^{52} +(-4.33374 - 3.14865i) q^{53} +1.46049 q^{54} +(2.69206 - 1.93721i) q^{55} -1.00000 q^{56} +(0.683283 + 0.496434i) q^{57} +(0.906490 - 2.78989i) q^{58} +(-0.692706 - 2.13193i) q^{59} +(-0.198931 + 0.144532i) q^{60} +(8.07842 - 5.86932i) q^{61} +(1.95903 + 6.02928i) q^{62} +(-0.908367 + 2.79567i) q^{63} +(-0.809017 - 0.587785i) q^{64} -1.15197 q^{65} +(-0.661959 + 0.476346i) q^{66} +14.2147 q^{67} +(-5.30007 - 3.85073i) q^{68} +(0.631304 - 1.94295i) q^{69} +(-0.309017 - 0.951057i) q^{70} +(0.307605 - 0.223488i) q^{71} +(-2.37814 + 1.72782i) q^{72} +(-2.23486 - 6.87819i) q^{73} +(1.19510 - 3.67814i) q^{74} +(-0.198931 - 0.144532i) q^{75} -3.43477 q^{76} +(-1.01050 - 3.15894i) q^{77} +0.283261 q^{78} +(1.83955 + 1.33651i) q^{79} +(0.309017 - 0.951057i) q^{80} +(2.61413 + 8.04545i) q^{81} +(-8.53984 + 6.20456i) q^{82} +(9.16555 - 6.65916i) q^{83} +(0.0759851 + 0.233858i) q^{84} +(2.02445 - 6.23061i) q^{85} +(-2.39268 - 1.73839i) q^{86} -0.721318 q^{87} +(1.03926 - 3.14959i) q^{88} -4.48891 q^{89} +(-2.37814 - 1.72782i) q^{90} +(-0.355978 + 1.09559i) q^{91} +(2.56740 + 7.90163i) q^{92} +(1.26114 - 0.916271i) q^{93} +(-4.99166 + 3.62665i) q^{94} +(-1.06140 - 3.26666i) q^{95} +(-0.0759851 + 0.233858i) q^{96} +(-2.79473 - 2.03049i) q^{97} -1.00000 q^{98} +(-7.86118 - 5.76641i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) \) 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9} - 12 q^{10} - q^{11} - 2 q^{12} + 2 q^{13} + 3 q^{14} + 3 q^{15} - 3 q^{16} + 7 q^{17} + 9 q^{18} + 6 q^{19} - 3 q^{20} - 2 q^{21} + q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 7 q^{26} - 3 q^{27} - 3 q^{28} + 20 q^{29} - 3 q^{30} + 6 q^{31} - 12 q^{32} - 12 q^{33} + 18 q^{34} - 3 q^{35} - 9 q^{36} + 22 q^{37} - 6 q^{38} + 23 q^{39} + 3 q^{40} + 2 q^{41} + 2 q^{42} - 60 q^{43} - 11 q^{44} + 6 q^{45} + 2 q^{46} - 4 q^{47} + 3 q^{48} - 3 q^{49} + 3 q^{50} + 13 q^{51} + 7 q^{52} + 18 q^{53} + 8 q^{54} + 14 q^{55} - 12 q^{56} + 8 q^{57} - 20 q^{58} - 32 q^{59} - 2 q^{60} + 8 q^{61} + 14 q^{62} - 9 q^{63} - 3 q^{64} - 18 q^{65} - 8 q^{66} + 36 q^{67} + 7 q^{68} + 50 q^{69} + 3 q^{70} - 34 q^{71} - 6 q^{72} + 14 q^{73} - 22 q^{74} - 2 q^{75} - 24 q^{76} - 11 q^{77} - 38 q^{78} - 12 q^{79} - 3 q^{80} + 4 q^{81} - 2 q^{82} + 30 q^{83} + 3 q^{84} + 2 q^{85} - 28 q^{87} + q^{88} - 36 q^{89} - 6 q^{90} + 7 q^{91} - 2 q^{92} + 12 q^{93} - 11 q^{94} + 6 q^{95} - 3 q^{96} + 39 q^{97} - 12 q^{98} - 15 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9 - 12 * q^10 - q^11 - 2 * q^12 + 2 * q^13 + 3 * q^14 + 3 * q^15 - 3 * q^16 + 7 * q^17 + 9 * q^18 + 6 * q^19 - 3 * q^20 - 2 * q^21 + q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 7 * q^26 - 3 * q^27 - 3 * q^28 + 20 * q^29 - 3 * q^30 + 6 * q^31 - 12 * q^32 - 12 * q^33 + 18 * q^34 - 3 * q^35 - 9 * q^36 + 22 * q^37 - 6 * q^38 + 23 * q^39 + 3 * q^40 + 2 * q^41 + 2 * q^42 - 60 * q^43 - 11 * q^44 + 6 * q^45 + 2 * q^46 - 4 * q^47 + 3 * q^48 - 3 * q^49 + 3 * q^50 + 13 * q^51 + 7 * q^52 + 18 * q^53 + 8 * q^54 + 14 * q^55 - 12 * q^56 + 8 * q^57 - 20 * q^58 - 32 * q^59 - 2 * q^60 + 8 * q^61 + 14 * q^62 - 9 * q^63 - 3 * q^64 - 18 * q^65 - 8 * q^66 + 36 * q^67 + 7 * q^68 + 50 * q^69 + 3 * q^70 - 34 * q^71 - 6 * q^72 + 14 * q^73 - 22 * q^74 - 2 * q^75 - 24 * q^76 - 11 * q^77 - 38 * q^78 - 12 * q^79 - 3 * q^80 + 4 * q^81 - 2 * q^82 + 30 * q^83 + 3 * q^84 + 2 * q^85 - 28 * q^87 + q^88 - 36 * q^89 - 6 * q^90 + 7 * q^91 - 2 * q^92 + 12 * q^93 - 11 * q^94 + 6 * q^95 - 3 * q^96 + 39 * q^97 - 12 * q^98 - 15 * q^99

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