LMFDB - Embedded newform 273.2.by.d.97.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.8
Character	$\chi$	$=$	273.97
Dual form			273.2.by.d.76.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.687394 + 2.56539i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(-1.17771 - 1.17771i) q^{5} +(0.687394 - 2.56539i) q^{6} +(-1.53750 - 2.15316i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.687394 + 2.56539i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(-1.17771 - 1.17771i) q^{5} +(0.687394 - 2.56539i) q^{6} +(-1.53750 - 2.15316i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +(2.21174 - 3.83085i) q^{10} +(-4.50301 + 1.20658i) q^{11} +5.05373 q^{12} +(-3.59585 - 0.264293i) q^{13} +(4.46682 - 5.42436i) q^{14} +(0.431073 + 1.60879i) q^{15} +(5.71638 - 9.90107i) q^{16} +(3.15625 + 5.46679i) q^{17} +(-1.87800 + 1.87800i) q^{18} +(-1.09384 + 4.08225i) q^{19} +(8.13039 + 2.17853i) q^{20} +(0.254935 + 2.63344i) q^{21} +(-6.19069 - 10.7226i) q^{22} +(3.67599 + 2.12233i) q^{23} +(2.09912 + 7.83402i) q^{24} -2.22598i q^{25} +(-1.79375 - 9.40643i) q^{26} -1.00000i q^{27} +(12.1699 + 5.53859i) q^{28} +(-0.526889 + 0.912598i) q^{29} +(-3.83085 + 2.21174i) q^{30} +(-5.61834 - 5.61834i) q^{31} +(13.6615 + 3.66058i) q^{32} +(4.50301 + 1.20658i) q^{33} +(-11.8549 + 11.8549i) q^{34} +(-0.725070 + 4.34654i) q^{35} +(-4.37666 - 2.52687i) q^{36} +(0.572076 - 0.153287i) q^{37} -11.2245 q^{38} +(2.98195 + 2.02681i) q^{39} +13.5081i q^{40} +(1.24468 - 0.333510i) q^{41} +(-6.58056 + 2.46422i) q^{42} +(-9.27990 + 5.35775i) q^{43} +(16.6593 - 16.6593i) q^{44} +(0.431073 - 1.60879i) q^{45} +(-2.91776 + 10.8892i) q^{46} +(2.85718 - 2.85718i) q^{47} +(-9.90107 + 5.71638i) q^{48} +(-2.27219 + 6.62096i) q^{49} +(5.71050 - 1.53012i) q^{50} -6.31250i q^{51} +(16.4057 - 7.92952i) q^{52} -0.398831 q^{53} +(2.56539 - 0.687394i) q^{54} +(6.72427 + 3.88226i) q^{55} +(-3.53074 + 21.1656i) q^{56} +(2.98841 - 2.98841i) q^{57} +(-2.70335 - 0.724361i) q^{58} +(-8.26243 - 2.21391i) q^{59} +(-5.95186 - 5.95186i) q^{60} +(4.22976 - 2.44205i) q^{61} +(10.5512 - 18.2752i) q^{62} +(1.09594 - 2.40809i) q^{63} +14.6977i q^{64} +(3.92362 + 4.54615i) q^{65} +12.3814i q^{66} +(-2.76762 - 10.3289i) q^{67} +(-27.6277 - 15.9509i) q^{68} +(-2.12233 - 3.67599i) q^{69} +(-11.6490 + 1.12770i) q^{70} +(4.31760 + 1.15690i) q^{71} +(2.09912 - 7.83402i) q^{72} +(-0.935407 + 0.935407i) q^{73} +(0.786484 + 1.36223i) q^{74} +(-1.11299 + 1.92775i) q^{75} +(-5.52795 - 20.6306i) q^{76} +(9.52134 + 7.84059i) q^{77} +(-3.14978 + 9.04309i) q^{78} -0.927988 q^{79} +(-18.3929 + 4.92836i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(1.71117 + 2.96383i) q^{82} +(7.79378 + 7.79378i) q^{83} +(-7.77012 - 10.8815i) q^{84} +(2.72115 - 10.1555i) q^{85} +(-20.1237 - 20.1237i) q^{86} +(0.912598 - 0.526889i) q^{87} +(32.7439 + 18.9047i) q^{88} +(1.28296 + 4.78807i) q^{89} +4.42348 q^{90} +(4.95956 + 8.14879i) q^{91} -21.4514 q^{92} +(2.05645 + 7.67479i) q^{93} +(9.29378 + 5.36577i) q^{94} +(6.09595 - 3.51950i) q^{95} +(-10.0009 - 10.0009i) q^{96} +(-1.65635 + 6.18160i) q^{97} +(-18.5472 - 1.27783i) q^{98} +(-3.29643 - 3.29643i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{5}{12}\right)$	$-1$

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 $

$2$	0.687394	+	2.56539i	0.486061	+	1.81400i	0.575235	+	0.817988i	$0.304911\pi$
$2$	0.687394	+	2.56539i	0.486061	+	1.81400i	−0.0891737	+	0.996016i	$0.528423\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	−4.37666	+	2.52687i	−2.18833	+	1.26343i
$5$	−1.17771	−	1.17771i	−0.526690	−	0.526690i	0.392894	−	0.919584i	$-0.371474\pi$
$5$	−1.17771	−	1.17771i	−0.526690	−	0.526690i	−0.919584	+	0.392894i	$0.871474\pi$
$6$	0.687394	−	2.56539i	0.280627	−	1.04732i
$7$	−1.53750	−	2.15316i	−0.581120	−	0.813818i
$7$	−1.53750	−	2.15316i	−0.581120	−	0.813818i
$8$	−5.73490	−	5.73490i	−2.02759	−	2.02759i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	2.21174	−	3.83085i	0.699414	−	1.21142i
$11$	−4.50301	+	1.20658i	−1.35771	+	0.363797i	−0.862975	−	0.505247i	$-0.831401\pi$
$11$	−4.50301	+	1.20658i	−1.35771	+	0.363797i	−0.494734	+	0.869044i	$0.664735\pi$
$12$	5.05373			1.45889
$13$	−3.59585	−	0.264293i	−0.997310	−	0.0733017i
$13$	−3.59585	−	0.264293i	−0.997310	−	0.0733017i
$14$	4.46682	−	5.42436i	1.19381	−	1.44972i
$15$	0.431073	+	1.60879i	0.111303	+	0.415387i
$16$	5.71638	−	9.90107i	1.42910	−	2.47527i
$17$	3.15625	+	5.46679i	0.765503	+	1.32589i	0.939980	+	0.341230i	$0.110843\pi$
$17$	3.15625	+	5.46679i	0.765503	+	1.32589i	−0.174476	+	0.984661i	$0.555823\pi$
$18$	−1.87800	+	1.87800i	−0.442648	+	0.442648i
$19$	−1.09384	+	4.08225i	−0.250943	+	0.936532i	0.719360	+	0.694638i	$0.244435\pi$
$19$	−1.09384	+	4.08225i	−0.250943	+	0.936532i	−0.970303	+	0.241894i	$0.922231\pi$
$20$	8.13039	+	2.17853i	1.81801	+	0.487134i
$21$	0.254935	+	2.63344i	0.0556313	+	0.574664i
$22$	−6.19069	−	10.7226i	−1.31986	−	2.28606i
$23$	3.67599	+	2.12233i	0.766496	+	0.442537i	0.831623	−	0.555340i	$-0.187412\pi$
$23$	3.67599	+	2.12233i	0.766496	+	0.442537i	−0.0651270	+	0.997877i	$0.520745\pi$
$24$	2.09912	+	7.83402i	0.428481	+	1.59911i
$25$		−	2.22598i		−	0.445196i
$26$	−1.79375	−	9.40643i	−0.351784	−	1.84475i
$27$		−	1.00000i		−	0.192450i
$28$	12.1699	+	5.53859i	2.29989	+	1.04670i
$29$	−0.526889	+	0.912598i	−0.0978408	+	0.169465i	−0.910791	−	0.412868i	$-0.864527\pi$
$29$	−0.526889	+	0.912598i	−0.0978408	+	0.169465i	0.812950	+	0.582334i	$0.197860\pi$
$30$	−3.83085	+	2.21174i	−0.699414	+	0.403807i
$31$	−5.61834	−	5.61834i	−1.00908	−	1.00908i	−0.999958	−	0.00912491i	$-0.997095\pi$
$31$	−5.61834	−	5.61834i	−1.00908	−	1.00908i	−0.00912491	−	0.999958i	$-0.502905\pi$
$32$	13.6615	+	3.66058i	2.41503	+	0.647105i
$33$	4.50301	+	1.20658i	0.783874	+	0.210038i
$34$	−11.8549	+	11.8549i	−2.03309	+	2.03309i
$35$	−0.725070	+	4.34654i	−0.122559	+	0.734700i
$36$	−4.37666	−	2.52687i	−0.729444	−	0.421145i
$37$	0.572076	−	0.153287i	0.0940488	−	0.0252003i	−0.211488	−	0.977381i	$-0.567831\pi$
$37$	0.572076	−	0.153287i	0.0940488	−	0.0252003i	0.305537	+	0.952180i	$0.401164\pi$
$38$	−11.2245			−1.82085
$39$	2.98195	+	2.02681i	0.477495	+	0.324549i
$40$			13.5081i			2.13583i
$41$	1.24468	−	0.333510i	0.194386	−	0.0520856i	−0.160312	−	0.987066i	$-0.551250\pi$
$41$	1.24468	−	0.333510i	0.194386	−	0.0520856i	0.354698	+	0.934981i	$0.384584\pi$
$42$	−6.58056	+	2.46422i	−1.01540	+	0.380237i
$43$	−9.27990	+	5.35775i	−1.41517	+	0.817050i	−0.995869	−	0.0907973i	$-0.971058\pi$
$43$	−9.27990	+	5.35775i	−1.41517	+	0.817050i	−0.419302	+	0.907847i	$0.637725\pi$
$44$	16.6593	−	16.6593i	2.51148	−	2.51148i
$45$	0.431073	−	1.60879i	0.0642606	−	0.239824i
$46$	−2.91776	+	10.8892i	−0.430200	+	1.60553i
$47$	2.85718	−	2.85718i	0.416762	−	0.416762i	−0.467324	−	0.884086i	$-0.654782\pi$
$47$	2.85718	−	2.85718i	0.416762	−	0.416762i	0.884086	+	0.467324i	$0.154782\pi$
$48$	−9.90107	+	5.71638i	−1.42910	+	0.825089i
$49$	−2.27219	+	6.62096i	−0.324598	+	0.945852i
$50$	5.71050	−	1.53012i	0.807587	−	0.216392i
$51$		−	6.31250i		−	0.883927i
$52$	16.4057	−	7.92952i	2.27506	−	1.09963i
$53$	−0.398831			−0.0547836			−0.0273918	−	0.999625i	$-0.508720\pi$
$53$	−0.398831			−0.0547836			−0.0273918	+	0.999625i	$0.508720\pi$
$54$	2.56539	−	0.687394i	0.349105	−	0.0935425i
$55$	6.72427	+	3.88226i	0.906700	+	0.523483i
$56$	−3.53074	+	21.1656i	−0.471815	+	2.82837i
$57$	2.98841	−	2.98841i	0.395825	−	0.395825i
$58$	−2.70335	−	0.724361i	−0.354967	−	0.0951132i
$59$	−8.26243	−	2.21391i	−1.07568	−	0.288227i	−0.322854	−	0.946449i	$-0.604642\pi$
$59$	−8.26243	−	2.21391i	−1.07568	−	0.288227i	−0.752824	+	0.658222i	$0.771309\pi$
$60$	−5.95186	−	5.95186i	−0.768381	−	0.768381i
$61$	4.22976	−	2.44205i	0.541565	−	0.312673i	−0.204148	−	0.978940i	$-0.565442\pi$
$61$	4.22976	−	2.44205i	0.541565	−	0.312673i	0.745713	+	0.666267i	$0.232109\pi$
$62$	10.5512	−	18.2752i	1.34001	−	2.32096i
$63$	1.09594	−	2.40809i	0.138076	−	0.303391i
$64$			14.6977i			1.83721i
$65$	3.92362	+	4.54615i	0.486666	+	0.563880i
$66$			12.3814i			1.52404i
$67$	−2.76762	−	10.3289i	−0.338118	−	1.26188i	−0.900449	−	0.434962i	$-0.856762\pi$
$67$	−2.76762	−	10.3289i	−0.338118	−	1.26188i	0.562330	−	0.826913i	$-0.309905\pi$
$68$	−27.6277	−	15.9509i	−3.35035	−	1.93433i
$69$	−2.12233	−	3.67599i	−0.255499	−	0.442537i
$70$	−11.6490	+	1.12770i	−1.39232	+	0.134786i
$71$	4.31760	+	1.15690i	0.512405	+	0.137298i	0.505751	−	0.862679i	$-0.331215\pi$
$71$	4.31760	+	1.15690i	0.512405	+	0.137298i	0.00665372	+	0.999978i	$0.497882\pi$
$72$	2.09912	−	7.83402i	0.247384	−	0.923248i
$73$	−0.935407	+	0.935407i	−0.109481	+	0.109481i	−0.759725	−	0.650244i	$-0.774667\pi$
$73$	−0.935407	+	0.935407i	−0.109481	+	0.109481i	0.650244	+	0.759725i	$0.274667\pi$
$74$	0.786484	+	1.36223i	0.0914269	+	0.158356i
$75$	−1.11299	+	1.92775i	−0.128517	+	0.222598i
$76$	−5.52795	−	20.6306i	−0.634100	−	2.36649i
$77$	9.52134	+	7.84059i	1.08506	+	0.893518i
$78$	−3.14978	+	9.04309i	−0.356643	+	1.02393i
$79$	−0.927988			−0.104407			−0.0522034	−	0.998636i	$-0.516624\pi$
$79$	−0.927988			−0.104407			−0.0522034	+	0.998636i	$0.516624\pi$
$80$	−18.3929	+	4.92836i	−2.05639	+	0.551008i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	1.71117	+	2.96383i	0.188967	+	0.327300i
$83$	7.79378	+	7.79378i	0.855479	+	0.855479i	0.990802	−	0.135323i	$-0.0432072\pi$
$83$	7.79378	+	7.79378i	0.855479	+	0.855479i	−0.135323	+	0.990802i	$0.543207\pi$
$84$	−7.77012	−	10.8815i	−0.847789	−	1.18727i
$85$	2.72115	−	10.1555i	0.295150	−	1.10152i
$86$	−20.1237	−	20.1237i	−2.16999	−	2.16999i
$87$	0.912598	−	0.526889i	0.0978408	−	0.0564884i
$88$	32.7439	+	18.9047i	3.49052	+	2.01525i
$89$	1.28296	+	4.78807i	0.135993	+	0.507534i	0.999992	+	0.00403982i	$0.00128592\pi$
$89$	1.28296	+	4.78807i	0.135993	+	0.507534i	−0.863998	+	0.503495i	$0.832047\pi$
$90$	4.42348			0.466276
$91$	4.95956	+	8.14879i	0.519903	+	0.854225i
$92$	−21.4514			−2.23646
$93$	2.05645	+	7.67479i	0.213244	+	0.795839i
$94$	9.29378	+	5.36577i	0.958580	+	0.553436i
$95$	6.09595	−	3.51950i	0.625431	−	0.361093i
$96$	−10.0009	−	10.0009i	−1.02071	−	1.02071i
$97$	−1.65635	+	6.18160i	−0.168177	+	0.627646i	0.829436	+	0.558601i	$0.188662\pi$
$97$	−1.65635	+	6.18160i	−0.168177	+	0.627646i	−0.997614	+	0.0690447i	$0.978005\pi$
$98$	−18.5472	−	1.27783i	−1.87355	−	0.129081i
$99$	−3.29643	−	3.29643i	−0.331304	−	0.331304i
$100$	5.62475	+	9.74235i	0.562475	+	0.974235i
$101$	−0.472587	+	0.818544i	−0.0470241	+	0.0814482i	−0.888579	−	0.458723i	$-0.848307\pi$
$101$	−0.472587	+	0.818544i	−0.0470241	+	0.0814482i	0.841555	+	0.540171i	$0.181640\pi$
$102$	16.1940	−	4.33918i	1.60345	−	0.429643i
$103$	−8.04965			−0.793156			−0.396578	−	0.918001i	$-0.629802\pi$
$103$	−8.04965			−0.793156			−0.396578	+	0.918001i	$0.629802\pi$
$104$	19.1062	+	22.1375i	1.87351	+	2.17077i
$105$	2.80120	−	3.40168i	0.273369	−	0.331970i
$106$	−0.274154	−	1.02316i	−0.0266282	−	0.0993777i
$107$	−8.52440	+	14.7647i	−0.824085	+	1.42736i	0.0785320	+	0.996912i	$0.474977\pi$
$107$	−8.52440	+	14.7647i	−0.824085	+	1.42736i	−0.902617	+	0.430445i	$0.858357\pi$
$108$	2.52687	+	4.37666i	0.243148	+	0.421145i
$109$	1.56781	−	1.56781i	0.150169	−	0.150169i	−0.628025	−	0.778193i	$-0.716136\pi$
$109$	1.56781	−	1.56781i	0.150169	−	0.150169i	0.778193	+	0.628025i	$0.216136\pi$
$110$	−5.33728	+	19.9190i	−0.508890	+	1.89920i
$111$	−0.572076	−	0.153287i	−0.0542991	−	0.0145494i
$112$	−30.1075	+	2.91461i	−2.84489	+	0.275405i
$113$	−3.02535	−	5.24006i	−0.284601	−	0.492943i	0.687911	−	0.725795i	$-0.258528\pi$
$113$	−3.02535	−	5.24006i	−0.284601	−	0.492943i	−0.972512	+	0.232852i	$0.925194\pi$
$114$	9.72066	+	5.61223i	0.910423	+	0.525633i
$115$	−1.82976	−	6.82876i	−0.170626	−	0.636786i
$116$		−	5.32551i		−	0.494462i
$117$	−1.56904	−	3.24625i	−0.145058	−	0.300115i
$118$		−	22.7182i		−	2.09138i
$119$	6.91813	−	15.2011i	0.634184	−	1.39348i
$120$	6.75407	−	11.6984i	0.616560	−	1.06791i
$121$	9.29500	−	5.36647i	0.845000	−	0.487861i
$122$	9.17232	+	9.17232i	0.830423	+	0.830423i
$123$	−1.24468	−	0.333510i	−0.112229	−	0.0300716i
$124$	38.7864	+	10.3928i	3.48312	+	0.933299i
$125$	−8.51014	+	8.51014i	−0.761170	+	0.761170i
$126$	6.93104	+	1.15620i	0.617466	+	0.103003i
$127$	−1.60575	−	0.927079i	−0.142487	−	0.0822650i	0.427062	−	0.904222i	$-0.359549\pi$
$127$	−1.60575	−	0.927079i	−0.142487	−	0.0822650i	−0.569549	+	0.821958i	$0.692882\pi$
$128$	−10.3824	+	2.78196i	−0.917684	+	0.245893i
$129$	10.7155			0.943448
$130$	−8.96556	+	13.1906i	−0.786332	+	1.15689i
$131$		−	4.94735i		−	0.432252i	−0.976365	−	0.216126i	$-0.930658\pi$
$131$		−	4.94735i		−	0.432252i	0.976365	−	0.216126i	$-0.0693422\pi$
$132$	−22.7570	+	6.09773i	−1.98075	+	0.530739i
$133$	10.4715	−	3.92126i	0.907994	−	0.340016i
$134$	24.5952	−	14.2000i	2.12470	−	1.22670i
$135$	−1.17771	+	1.17771i	−0.101362	+	0.101362i
$136$	13.2507	−	49.4523i	1.13624	−	4.24050i
$137$	1.82558	−	6.81316i	0.155970	−	0.582088i	−0.843050	−	0.537834i	$-0.819243\pi$
$137$	1.82558	−	6.81316i	0.155970	−	0.582088i	0.999020	−	0.0442531i	$-0.0140908\pi$
$138$	7.97146	−	7.97146i	0.678576	−	0.678576i
$139$	10.4051	−	6.00737i	0.882547	−	0.509539i	0.0110494	−	0.999939i	$-0.496483\pi$
$139$	10.4051	−	6.00737i	0.882547	−	0.509539i	0.871497	+	0.490400i	$0.163149\pi$
$140$	−7.80975	−	20.8555i	−0.660044	−	1.76261i
$141$	−3.90298	+	1.04580i	−0.328690	+	0.0880722i
$142$			11.8716i			0.996240i
$143$	16.5111	−	3.14856i	1.38072	−	0.263296i
$144$	11.4328			0.952731
$145$	1.69530	−	0.454256i	0.140787	−	0.0377239i
$146$	−3.04268	−	1.75669i	−0.251814	−	0.145385i
$147$	5.27825	−	4.59783i	0.435343	−	0.379223i
$148$	−2.11645	+	2.11645i	−0.173971	+	0.173971i
$149$	−4.76731	−	1.27740i	−0.390553	−	0.104648i	0.0581981	−	0.998305i	$-0.481465\pi$
$149$	−4.76731	−	1.27740i	−0.390553	−	0.104648i	−0.448752	+	0.893657i	$0.648131\pi$
$150$	−5.71050	−	1.53012i	−0.466260	−	0.124934i
$151$	−13.7886	−	13.7886i	−1.12210	−	1.12210i	−0.991425	−	0.130675i	$-0.958286\pi$
$151$	−13.7886	−	13.7886i	−1.12210	−	1.12210i	−0.130675	−	0.991425i	$-0.541714\pi$
$152$	29.6843	−	17.1383i	2.40772	−	1.39010i
$153$	−3.15625	+	5.46679i	−0.255168	+	0.441964i
$154$	−13.5692	+	29.8155i	−1.09344	+	2.40260i
$155$			13.2336i			1.06295i
$156$	−18.1725	−	1.33567i	−1.45496	−	0.106939i
$157$			19.9821i			1.59474i	0.603489	+	0.797371i	$0.293777\pi$
$157$			19.9821i			1.59474i	−0.603489	+	0.797371i	$0.706223\pi$
$158$	−0.637894	−	2.38065i	−0.0507481	−	0.189394i
$159$	0.345397	+	0.199415i	0.0273918	+	0.0158147i
$160$	−11.7782	−	20.4004i	−0.931147	−	1.61279i
$161$	−1.08211	−	11.1781i	−0.0852824	−	0.880955i
$162$	−2.56539	−	0.687394i	−0.201556	−	0.0540068i
$163$	−1.46606	+	5.47141i	−0.114831	+	0.428554i	−0.999274	−	0.0380934i	$-0.987872\pi$
$163$	−1.46606	+	5.47141i	−0.114831	+	0.428554i	0.884444	+	0.466647i	$0.154538\pi$
$164$	−4.60480	+	4.60480i	−0.359574	+	0.359574i
$165$	−3.88226	−	6.72427i	−0.302233	−	0.523483i
$166$	−14.6367	+	25.3515i	−1.13603	+	1.96766i
$167$	1.10228	+	4.11377i	0.0852972	+	0.318333i	0.995370	−	0.0961143i	$-0.0306414\pi$
$167$	1.10228	+	4.11377i	0.0852972	+	0.318333i	−0.910073	+	0.414448i	$0.863975\pi$
$168$	13.6405	−	16.5645i	1.05239	−	1.27798i
$169$	12.8603	+	1.90072i	0.989254	+	0.146209i
$170$	27.9233			2.14162
$171$	−4.08225	+	1.09384i	−0.312177	+	0.0836477i
$172$	27.0767	−	46.8982i	2.06458	−	3.57595i
$173$	0.873930	+	1.51369i	0.0664437	+	0.115084i	0.897333	−	0.441353i	$-0.145501\pi$
$173$	0.873930	+	1.51369i	0.0664437	+	0.115084i	−0.830890	+	0.556437i	$0.812168\pi$
$174$	1.97899	+	1.97899i	0.150027	+	0.150027i
$175$	−4.79288	+	3.42244i	−0.362308	+	0.258712i
$176$	−13.7945	+	51.4819i	−1.03980	+	3.88059i
$177$	6.04852	+	6.04852i	0.454635	+	0.454635i
$178$	−11.4014	+	6.58258i	−0.854568	+	0.493385i
$179$	−19.7578	−	11.4072i	−1.47677	−	0.852613i	−0.477113	−	0.878842i	$-0.658317\pi$
$179$	−19.7578	−	11.4072i	−1.47677	−	0.852613i	−0.999656	+	0.0262285i	$0.991650\pi$
$180$	2.17853	+	8.13039i	0.162378	+	0.606003i
$181$	13.7425			1.02147			0.510737	−	0.859737i	$-0.329372\pi$
$181$	13.7425			1.02147			0.510737	+	0.859737i	$0.329372\pi$
$182$	−17.4957	+	18.3246i	−1.29686	+	1.35831i
$183$	−4.88410			−0.361043
$184$	−8.91006	−	33.2528i	−0.656858	−	2.45143i
$185$	−0.854271	−	0.493214i	−0.0628073	−	0.0362618i
$186$	−18.2752	+	10.5512i	−1.34001	+	0.773653i
$187$	−20.8087	−	20.8087i	−1.52169	−	1.52169i
$188$	−5.28519	+	19.7246i	−0.385462	+	1.43856i
$189$	−2.15316	+	1.53750i	−0.156619	+	0.111837i
$190$	13.2192	+	13.2192i	0.959021	+	0.959021i
$191$	6.02586	+	10.4371i	0.436016	+	0.755201i	0.997378	−	0.0723688i	$-0.0230559\pi$
$191$	6.02586	+	10.4371i	0.436016	+	0.755201i	−0.561362	+	0.827570i	$0.689723\pi$
$192$	7.34885	−	12.7286i	0.530358	−	0.918606i
$193$	−4.42174	+	1.18480i	−0.318284	+	0.0852838i	−0.414424	−	0.910084i	$-0.636017\pi$
$193$	−4.42174	+	1.18480i	−0.318284	+	0.0852838i	0.0961404	+	0.995368i	$0.469350\pi$
$194$	−16.9968			−1.22030
$195$	−1.12488	−	5.89889i	−0.0805546	−	0.422428i
$196$	−6.78570	−	34.7192i	−0.484693	−	2.47995i
$197$	5.05766	+	18.8754i	0.360343	+	1.34482i	0.873625	+	0.486599i	$0.161763\pi$
$197$	5.05766	+	18.8754i	0.360343	+	1.34482i	−0.513282	+	0.858220i	$0.671570\pi$
$198$	6.19069	−	10.7226i	0.439953	−	0.762021i
$199$	−12.2497	−	21.2170i	−0.868355	−	1.50403i	−0.863677	−	0.504046i	$-0.831844\pi$
$199$	−12.2497	−	21.2170i	−0.868355	−	1.50403i	−0.00467796	−	0.999989i	$-0.501489\pi$
$200$	−12.7658	+	12.7658i	−0.902676	+	0.902676i
$201$	−2.76762	+	10.3289i	−0.195213	+	0.728544i
$202$	−2.42474	−	0.649707i	−0.170604	−	0.0457132i
$203$	2.77506	−	0.268644i	0.194771	−	0.0188551i
$204$	15.9509	+	27.6277i	1.11678	+	1.93433i
$205$	−1.85865	−	1.07309i	−0.129814	−	0.0749482i
$206$	−5.53328	−	20.6505i	−0.385522	−	1.43879i
$207$			4.24466i			0.295025i
$208$	−23.1721	+	34.0920i	−1.60669	+	2.36385i
$209$		−	19.7022i		−	1.36283i
$210$	10.6522	+	4.84788i	0.735069	+	0.334535i
$211$	−11.4160	+	19.7731i	−0.785910	+	1.36124i	0.142544	+	0.989788i	$0.454472\pi$
$211$	−11.4160	+	19.7731i	−0.785910	+	1.36124i	−0.928454	+	0.371448i	$0.878862\pi$
$212$	1.74555	−	1.00779i	0.119885	−	0.0692154i
$213$	−3.16070	−	3.16070i	−0.216568	−	0.216568i
$214$	−43.7368	−	11.7192i	−2.98979	−	0.801111i
$215$	17.2390	+	4.61917i	1.17569	+	0.315025i
$216$	−5.73490	+	5.73490i	−0.390211	+	0.390211i
$217$	−3.45898	+	20.7354i	−0.234811	+	1.40761i
$218$	5.09973	+	2.94433i	0.345397	+	0.199415i
$219$	1.27779	−	0.342383i	0.0863450	−	0.0231361i
$220$	−39.2398			−2.64555
$221$	−9.90458	−	20.4919i	−0.666254	−	1.37844i
$222$		−	1.57297i		−	0.105571i
$223$	−12.2434	+	3.28062i	−0.819881	+	0.219686i	−0.644294	−	0.764778i	$-0.722849\pi$
$223$	−12.2434	+	3.28062i	−0.819881	+	0.219686i	−0.175586	+	0.984464i	$0.556182\pi$
$224$	−13.1227	−	35.0434i	−0.876797	−	2.34144i
$225$	1.92775	−	1.11299i	0.128517	−	0.0741993i
$226$	11.3632	−	11.3632i	0.755868	−	0.755868i
$227$	−2.99465	+	11.1762i	−0.198762	+	0.741790i	0.792499	+	0.609874i	$0.208780\pi$
$227$	−2.99465	+	11.1762i	−0.198762	+	0.741790i	−0.991261	+	0.131917i	$0.957887\pi$
$228$	−5.52795	+	20.6306i	−0.366098	+	1.36629i
$229$	9.10742	−	9.10742i	0.601835	−	0.601835i	−0.338964	−	0.940799i	$-0.610077\pi$
$229$	9.10742	−	9.10742i	0.601835	−	0.601835i	0.940799	+	0.338964i	$0.110077\pi$
$230$	16.2607	−	9.38810i	1.07220	−	0.619033i
$231$	−4.32543	−	11.5508i	−0.284592	−	0.759988i
$232$	8.25532	−	2.21201i	0.541988	−	0.145225i
$233$		−	1.49633i		−	0.0980277i	−0.998798	−	0.0490139i	$-0.984392\pi$
$233$		−	1.49633i		−	0.0980277i	0.998798	−	0.0490139i	$-0.0156079\pi$
$234$	7.24933	−	6.25665i	0.473904	−	0.409010i
$235$	−6.72988			−0.439009
$236$	41.7562	−	11.1885i	2.71809	−	0.728311i
$237$	0.803661	+	0.463994i	0.0522034	+	0.0301397i
$238$	43.7522	+	7.29855i	2.83604	+	0.473095i
$239$	−3.19313	+	3.19313i	−0.206546	+	0.206546i	−0.802798	−	0.596252i	$-0.796656\pi$
$239$	−3.19313	+	3.19313i	−0.206546	+	0.206546i	0.596252	+	0.802798i	$0.296656\pi$
$240$	18.3929	+	4.92836i	1.18726	+	0.318124i
$241$	9.27435	+	2.48506i	0.597414	+	0.160076i	0.544839	−	0.838541i	$-0.316591\pi$
$241$	9.27435	+	2.48506i	0.597414	+	0.160076i	0.0525744	+	0.998617i	$0.483257\pi$
$242$	20.1564	+	20.1564i	1.29570	+	1.29570i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	−12.3415	+	21.3761i	−0.790082	+	1.36846i
$245$	10.4736	−	5.12162i	0.669133	−	0.327208i
$246$		−	3.42234i		−	0.218200i
$247$	5.01218	−	14.3901i	0.318917	−	0.915618i
$248$			64.4412i			4.09202i
$249$	−2.85272	−	10.6465i	−0.180784	−	0.674695i
$250$	−27.6816	−	15.9820i	−1.75074	−	1.01079i
$251$	−12.9361	−	22.4061i	−0.816522	−	1.41426i	−0.908230	−	0.418472i	$-0.862566\pi$
$251$	−12.9361	−	22.4061i	−0.816522	−	1.41426i	0.0917077	−	0.995786i	$-0.470767\pi$
$252$	1.28837	+	13.3087i	0.0811598	+	0.838370i
$253$	−19.1138	−	5.12152i	−1.20167	−	0.321987i
$254$	1.27454	−	4.75664i	0.0799716	−	0.298458i
$255$	−7.43433	+	7.43433i	−0.465556	+	0.465556i
$256$	0.424093	+	0.734550i	0.0265058	+	0.0459094i
$257$	−11.4386	+	19.8122i	−0.713518	+	1.23585i	0.250011	+	0.968243i	$0.419566\pi$
$257$	−11.4386	+	19.8122i	−0.713518	+	1.23585i	−0.963528	+	0.267606i	$0.913767\pi$
$258$	7.36577	+	27.4894i	0.458573	+	1.71142i
$259$	−1.20962	−	0.996092i	−0.0751621	−	0.0618941i
$260$	−28.6599	−	9.98248i	−1.77741	−	0.619087i
$261$	−1.05378			−0.0652272
$262$	12.6919	−	3.40078i	0.784107	−	0.210101i
$263$	−10.9168	+	18.9085i	−0.673160	+	1.16595i	0.303844	+	0.952722i	$0.401730\pi$
$263$	−10.9168	+	18.9085i	−0.673160	+	1.16595i	−0.977003	+	0.213225i	$0.931603\pi$
$264$	−18.9047	−	32.7439i	−1.16351	−	2.01525i
$265$	0.469709	+	0.469709i	0.0288540	+	0.0288540i
$266$	17.2576	+	24.1680i	1.05813	+	1.48184i
$267$	1.28296	−	4.78807i	0.0785158	−	0.293025i
$268$	38.2127	+	38.2127i	2.33421	+	2.33421i
$269$	5.09171	−	2.93970i	0.310447	−	0.179237i	−0.336679	−	0.941619i	$-0.609304\pi$
$269$	5.09171	−	2.93970i	0.310447	−	0.179237i	0.647127	+	0.762383i	$0.275971\pi$
$270$	−3.83085	−	2.21174i	−0.233138	−	0.134602i
$271$	−1.80033	−	6.71891i	−0.109362	−	0.408145i	0.889441	−	0.457049i	$-0.151094\pi$
$271$	−1.80033	−	6.71891i	−0.109362	−	0.408145i	−0.998803	+	0.0489044i	$0.984427\pi$
$272$	72.1694			4.37591
$273$	−0.220707	−	9.53684i	−0.0133578	−	0.577196i
$274$	18.7333			1.13172
$275$	2.68582	+	10.0236i	0.161961	+	0.604446i
$276$	18.5775	+	10.7257i	1.11823	+	0.645612i
$277$	10.7111	−	6.18406i	0.643568	−	0.371564i	−0.142420	−	0.989806i	$-0.545488\pi$
$277$	10.7111	−	6.18406i	0.643568	−	0.371564i	0.785988	+	0.618242i	$0.212155\pi$
$278$	22.5636	+	22.5636i	1.35328	+	1.35328i
$279$	2.05645	−	7.67479i	0.123117	−	0.459478i
$280$	29.0852	−	20.7688i	1.73817	−	1.24117i
$281$	−15.6520	−	15.6520i	−0.933721	−	0.933721i	0.0642154	−	0.997936i	$-0.479546\pi$
$281$	−15.6520	−	15.6520i	−0.933721	−	0.933721i	−0.997936	+	0.0642154i	$0.979546\pi$
$282$	−5.36577	−	9.29378i	−0.319527	−	0.553436i
$283$	14.3579	−	24.8687i	0.853490	−	1.47829i	−0.0245489	−	0.999699i	$-0.507815\pi$
$283$	14.3579	−	24.8687i	0.853490	−	1.47829i	0.878039	−	0.478589i	$-0.158852\pi$
$284$	−21.8200	+	5.84665i	−1.29478	+	0.346935i
$285$	−7.03899			−0.416954
$286$	19.4269	+	40.1930i	1.14874	+	2.37666i
$287$	−2.63179	−	2.16722i	−0.155350	−	0.127927i
$288$	3.66058	+	13.6615i	0.215702	+	0.805009i
$289$	−11.4238	+	19.7867i	−0.671991	+	1.16392i
$290$	2.33069	+	4.03687i	0.136863	+	0.237053i
$291$	4.52524	−	4.52524i	0.265274	−	0.265274i
$292$	1.73031	−	6.45761i	0.101259	−	0.377903i
$293$	−22.3231	−	5.98146i	−1.30413	−	0.349441i	−0.461120	−	0.887338i	$-0.652552\pi$
$293$	−22.3231	−	5.98146i	−1.30413	−	0.349441i	−0.843011	+	0.537897i	$0.819219\pi$
$294$	15.4235	+	10.3803i	0.899515	+	0.605389i
$295$	7.12343	+	12.3381i	0.414742	+	0.718355i
$296$	−4.15989	−	2.40171i	−0.241789	−	0.139597i
$297$	1.20658	+	4.50301i	0.0700128	+	0.261291i
$298$		−	13.1081i		−	0.759331i
$299$	−12.6574	−	8.60313i	−0.731996	−	0.497532i
$300$		−	11.2495i		−	0.649490i
$301$	25.8039	+	11.7436i	1.48731	+	0.676887i
$302$	25.8949	−	44.8513i	1.49009	−	2.58090i
$303$	0.818544	−	0.472587i	0.0470241	−	0.0271494i
$304$	34.1658	+	34.1658i	1.95954	+	1.95954i
$305$	−7.85749	−	2.10541i	−0.449918	−	0.120555i
$306$	−16.1940	−	4.33918i	−0.925751	−	0.248054i
$307$	−5.52660	+	5.52660i	−0.315419	+	0.315419i	−0.847005	−	0.531585i	$-0.821596\pi$
$307$	−5.52660	+	5.52660i	−0.315419	+	0.315419i	0.531585	+	0.847005i	$0.321596\pi$
$308$	−61.4838	−	10.2564i	−3.50336	−	0.584415i
$309$	6.97120	+	4.02483i	0.396578	+	0.228964i
$310$	−33.9493	+	9.09669i	−1.92819	+	0.516658i
$311$	−10.3208			−0.585239			−0.292620	−	0.956229i	$-0.594527\pi$
$311$	−10.3208			−0.585239			−0.292620	+	0.956229i	$0.594527\pi$
$312$	−5.47764	−	28.7248i	−0.310111	−	1.62622i
$313$		−	20.9365i		−	1.18340i	−0.806157	−	0.591701i	$-0.798457\pi$
$313$		−	20.9365i		−	1.18340i	0.806157	−	0.591701i	$-0.201543\pi$
$314$	−51.2618	+	13.7356i	−2.89287	+	0.775142i
$315$	−4.12675	+	1.54534i	−0.232516	+	0.0870701i
$316$	4.06149	−	2.34490i	0.228477	−	0.131911i
$317$	8.45606	−	8.45606i	0.474940	−	0.474940i	−0.428569	−	0.903509i	$-0.640982\pi$
$317$	8.45606	−	8.45606i	0.474940	−	0.474940i	0.903509	+	0.428569i	$0.140982\pi$
$318$	−0.274154	+	1.02316i	−0.0153738	+	0.0573757i
$319$	1.27147	−	4.74517i	0.0711884	−	0.265679i
$320$	17.3097	−	17.3097i	0.967641	−	0.967641i
$321$	14.7647	−	8.52440i	0.824085	−	0.475786i
$322$	27.9323	−	10.4598i	1.55660	−	0.582901i
$323$	−25.7692	+	6.90484i	−1.43384	+	0.384195i
$324$		−	5.05373i		−	0.280763i
$325$	−0.588311	+	8.00429i	−0.0326336	+	0.443998i
$326$	−15.0441			−0.833213
$327$	−2.14166	+	0.573857i	−0.118434	+	0.0317343i
$328$	−9.05075	−	5.22545i	−0.499744	−	0.288527i
$329$	−10.5449	−	1.75905i	−0.581357	−	0.0969794i
$330$	14.5817	−	14.5817i	0.802697	−	0.802697i
$331$	25.0550	+	6.71347i	1.37715	+	0.369006i	0.870084	−	0.492903i	$-0.164064\pi$
$331$	25.0550	+	6.71347i	1.37715	+	0.369006i	0.507064	+	0.861909i	$0.330731\pi$
$332$	−53.8046	−	14.4169i	−2.95291	−	0.791230i
$333$	0.418789	+	0.418789i	0.0229495	+	0.0229495i
$334$	−9.79573	+	5.65557i	−0.535999	+	0.309459i
$335$	−8.90502	+	15.4240i	−0.486533	+	0.842700i
$336$	27.5312	+	12.5296i	1.50195	+	0.683547i
$337$			26.1315i			1.42348i	0.702445	+	0.711738i	$0.252092\pi$
$337$			26.1315i			1.42348i	−0.702445	+	0.711738i	$0.747908\pi$
$338$	3.96401	+	34.2982i	0.215614	+	1.86558i
$339$			6.05070i			0.328629i
$340$	13.7520	+	51.3231i	0.745806	+	2.78339i
$341$	32.0784	+	18.5205i	1.73714	+	1.00294i
$342$	−5.61223	−	9.72066i	−0.303474	−	0.525633i
$343$	17.7495	−	5.28735i	0.958382	−	0.285490i
$344$	83.9455	+	22.4931i	4.52604	+	1.21275i
$345$	−1.82976	+	6.82876i	−0.0985111	+	0.367648i
$346$	−3.28247	+	3.28247i	−0.176467	+	0.176467i
$347$	3.74039	+	6.47855i	0.200795	+	0.347787i	0.948785	−	0.315923i	$-0.102314\pi$
$347$	3.74039	+	6.47855i	0.200795	+	0.347787i	−0.747990	+	0.663710i	$0.768981\pi$
$348$	−2.66276	+	4.61203i	−0.142739	+	0.247231i
$349$	0.528661	+	1.97299i	0.0282986	+	0.105612i	0.978631	−	0.205626i	$-0.0659231\pi$
$349$	0.528661	+	1.97299i	0.0282986	+	0.105612i	−0.950332	+	0.311238i	$0.899256\pi$
$350$	−12.0745	−	9.94305i	−0.645409	−	0.531478i
$351$	−0.264293	+	3.59585i	−0.0141069	+	0.191932i
$352$	−65.9345			−3.51432
$353$	−12.1175	+	3.24687i	−0.644949	+	0.172813i	−0.566444	−	0.824100i	$-0.691681\pi$
$353$	−12.1175	+	3.24687i	−0.644949	+	0.172813i	−0.0785047	+	0.996914i	$0.525015\pi$
$354$	−11.3591	+	19.6745i	−0.603729	+	1.04569i
$355$	−3.72241	−	6.44740i	−0.197565	−	0.342192i
$356$	−17.7139	−	17.7139i	−0.938835	−	0.938835i
$357$	−13.5918	+	9.70547i	−0.719356	+	0.513668i
$358$	15.6825	−	58.5278i	0.828844	−	3.09329i
$359$	−6.92976	−	6.92976i	−0.365739	−	0.365739i	0.500182	−	0.865920i	$-0.333267\pi$
$359$	−6.92976	−	6.92976i	−0.365739	−	0.365739i	−0.865920	+	0.500182i	$0.833267\pi$
$360$	−11.6984	+	6.75407i	−0.616560	+	0.355971i
$361$	0.986209	+	0.569388i	0.0519057	+	0.0299678i
$362$	9.44654	+	35.2550i	0.496499	+	1.85296i
$363$	−10.7329			−0.563334
$364$	−42.2972	−	23.1324i	−2.21698	−	1.21247i
$365$	2.20328			0.115325
$366$	−3.35730	−	12.5296i	−0.175489	−	0.654934i
$367$	21.7912	+	12.5811i	1.13749	+	0.656730i	0.945808	−	0.324727i	$-0.105272\pi$
$367$	21.7912	+	12.5811i	1.13749	+	0.656730i	0.191682	+	0.981457i	$0.438606\pi$
$368$	42.0267	−	24.2641i	2.19079	−	1.26486i
$369$	0.911167	+	0.911167i	0.0474335	+	0.0474335i
$370$	0.678064	−	2.53057i	0.0352509	−	0.131558i
$371$	0.613202	+	0.858746i	0.0318359	+	0.0445839i
$372$	−28.3936	−	28.3936i	−1.47214	−	1.47214i
$373$	5.81848	+	10.0779i	0.301270	+	0.521814i	0.976424	−	0.215862i	$-0.0692562\pi$
$373$	5.81848	+	10.0779i	0.301270	+	0.521814i	−0.675154	+	0.737677i	$0.735923\pi$
$374$	39.0787	−	67.6864i	2.02071	−	3.49998i
$375$	11.6251	−	3.11493i	0.600316	−	0.160854i
$376$	−32.7713			−1.69005
$377$	2.13581	−	3.14232i	0.110000	−	0.161837i
$378$	−5.42436	−	4.46682i	−0.278999	−	0.229749i
$379$	−6.70131	−	25.0096i	−0.344223	−	1.28466i	−0.893517	−	0.449029i	$-0.851770\pi$
$379$	−6.70131	−	25.0096i	−0.344223	−	1.28466i	0.549294	−	0.835629i	$-0.314897\pi$
$380$	−17.7866	+	30.8073i	−0.912434	+	1.58038i
$381$	0.927079	+	1.60575i	0.0474957	+	0.0822650i
$382$	−22.6331	+	22.6331i	−1.15801	+	1.15801i
$383$	2.62259	−	9.78763i	0.134008	−	0.500125i	−0.865992	−	0.500058i	$-0.833312\pi$
$383$	2.62259	−	9.78763i	0.134008	−	0.500125i	1.00000		6.67944e-5i	$-2.12613e-5\pi$
$384$	10.3824	+	2.78196i	0.529825	+	0.141966i
$385$	−1.97944	−	20.4474i	−0.100882	−	1.04210i
$386$	−6.07895	−	10.5291i	−0.309410	−	0.535915i
$387$	−9.27990	−	5.35775i	−0.471724	−	0.272350i
$388$	−8.37077	−	31.2401i	−0.424962	−	1.58598i
$389$		−	25.4046i		−	1.28806i	−0.764999	−	0.644032i	$-0.777260\pi$
$389$		−	25.4046i		−	1.28806i	0.764999	−	0.644032i	$-0.222740\pi$
$390$	14.3597	−	6.94063i	0.727133	−	0.351452i
$391$			26.7945i			1.35505i
$392$	51.0013	−	24.9398i	2.57596	−	1.25965i
$393$	−2.47368	+	4.28453i	−0.124780	+	0.216126i
$394$	−44.9463	+	25.9497i	−2.26436	+	1.30733i
$395$	1.09291	+	1.09291i	0.0549900	+	0.0549900i
$396$	22.7570	+	6.09773i	1.14358	+	0.306422i
$397$	−23.6455	−	6.33580i	−1.18673	−	0.317984i	−0.389140	−	0.921179i	$-0.627228\pi$
$397$	−23.6455	−	6.33580i	−1.18673	−	0.317984i	−0.797594	+	0.603194i	$0.793894\pi$
$398$	46.0096	−	46.0096i	2.30625	−	2.30625i
$399$	−11.0292	−	1.83984i	−0.552151	−	0.0921074i
$400$	−22.0396	−	12.7245i	−1.10198	−	0.636227i
$401$	19.0591	−	5.10686i	0.951765	−	0.255025i	0.250654	−	0.968077i	$-0.419354\pi$
$401$	19.0591	−	5.10686i	0.951765	−	0.255025i	0.701111	+	0.713052i	$0.252688\pi$
$402$	−28.4001			−1.41647
$403$	18.7178	+	21.6876i	0.932401	+	1.08034i
$404$		−	4.77666i		−	0.237647i
$405$	1.60879	−	0.431073i	0.0799413	−	0.0214202i
$406$	2.59674	+	6.93445i	0.128874	+	0.344151i
$407$	−2.39111	+	1.38051i	−0.118523	+	0.0684293i
$408$	−36.2016	+	36.2016i	−1.79225	+	1.79225i
$409$	6.62979	−	24.7427i	0.327822	−	1.22345i	−0.583622	−	0.812025i	$-0.698365\pi$
$409$	6.62979	−	24.7427i	0.327822	−	1.22345i	0.911444	−	0.411423i	$-0.134968\pi$
$410$	1.47528	−	5.50581i	0.0728588	−	0.271913i
$411$	−4.98758	+	4.98758i	−0.246019	+	0.246019i
$412$	35.2306	−	20.3404i	1.73569	−	1.00210i
$413$	7.93659	+	21.1942i	0.390534	+	1.04290i
$414$	−10.8892	+	2.91776i	−0.535176	+	0.143400i
$415$		−	18.3577i		−	0.901144i
$416$	−48.1571	−	16.7735i	−2.36110	−	0.822390i
$417$	−12.0147			−0.588364
$418$	50.5438	−	13.5432i	2.47218	−	0.662419i
$419$	2.48993	+	1.43756i	0.121641	+	0.0702295i	0.559586	−	0.828772i	$-0.310960\pi$
$419$	2.48993	+	1.43756i	0.121641	+	0.0702295i	−0.437945	+	0.899002i	$0.644294\pi$
$420$	−3.66431	+	21.9663i	−0.178800	+	1.07184i
$421$	−13.5970	+	13.5970i	−0.662676	+	0.662676i	−0.956010	−	0.293334i	$-0.905235\pi$
$421$	−13.5970	+	13.5970i	−0.662676	+	0.662676i	0.293334	+	0.956010i	$0.405235\pi$
$422$	−58.5730	−	15.6946i	−2.85129	−	0.764000i
$423$	3.90298	+	1.04580i	0.189769	+	0.0508485i
$424$	2.28725	+	2.28725i	0.111079	+	0.111079i
$425$	12.1689	−	7.02575i	0.590281	−	0.340799i
$426$	5.93579	−	10.2811i	0.287590	−	0.498120i
$427$	−11.7614	−	5.35269i	−0.569173	−	0.259035i
$428$		−	86.1601i		−	4.16471i
$429$	−15.8733	−	5.52879i	−0.766369	−	0.266933i
$430$			47.3999i			2.28582i
$431$	9.48793	+	35.4094i	0.457017	+	1.70561i	0.682089	+	0.731269i	$0.261072\pi$
$431$	9.48793	+	35.4094i	0.457017	+	1.70561i	−0.225071	+	0.974342i	$0.572262\pi$
$432$	−9.90107	−	5.71638i	−0.476365	−	0.275030i
$433$	−0.0741930	−	0.128506i	−0.00356549	−	0.00617561i	0.864237	−	0.503085i	$-0.167802\pi$
$433$	−0.0741930	−	0.128506i	−0.00356549	−	0.00617561i	−0.867803	+	0.496909i	$0.834468\pi$
$434$	−55.5720	+	5.37974i	−2.66754	+	0.258236i
$435$	−1.69530	−	0.454256i	−0.0812836	−	0.0217799i
$436$	−2.90012	+	10.8234i	−0.138891	+	0.518346i
$437$	−12.6848	+	12.6848i	−0.606797	+	0.606797i
$438$	1.75669	+	3.04268i	0.0839379	+	0.145385i
$439$	4.05749	−	7.02778i	0.193654	−	0.335418i	−0.752805	−	0.658244i	$-0.771300\pi$
$439$	4.05749	−	7.02778i	0.193654	−	0.335418i	0.946458	+	0.322826i	$0.104633\pi$
$440$	−16.2986	−	60.8274i	−0.777007	−	2.89983i
$441$	−6.87002	+	1.34271i	−0.327144	+	0.0639386i
$442$	45.7615	−	39.4951i	2.17665	−	1.87859i
$443$	−26.1952			−1.24457			−0.622285	−	0.782790i	$-0.713796\pi$
$443$	−26.1952			−1.24457			−0.622285	+	0.782790i	$0.713796\pi$
$444$	2.89112	−	0.774674i	0.137207	−	0.0367644i
$445$	4.12802	−	7.14994i	0.195687	−	0.338940i
$446$	−16.8321	−	29.1541i	−0.797024	−	1.38049i
$447$	3.48992	+	3.48992i	0.165067	+	0.165067i
$448$	31.6465	−	22.5977i	1.49516	−	1.06764i
$449$	0.953576	−	3.55879i	0.0450020	−	0.167950i	−0.939768	−	0.341814i	$-0.888959\pi$
$449$	0.953576	−	3.55879i	0.0450020	−	0.167950i	0.984770	+	0.173864i	$0.0556254\pi$
$450$	4.18038	+	4.18038i	0.197065	+	0.197065i
$451$	−5.20239	+	3.00360i	−0.244971	+	0.141434i
$452$	26.4819	+	15.2893i	1.24560	+	0.719148i
$453$	5.04698	+	18.8356i	0.237128	+	0.884973i
$454$	−30.7298			−1.44222
$455$	3.75601	−	15.4379i	0.176084	−	0.723739i
$456$	−34.2765			−1.60514
$457$	2.49719	+	9.31962i	0.116813	+	0.435954i	0.999416	−	0.0341660i	$-0.0108775\pi$
$457$	2.49719	+	9.31962i	0.116813	+	0.435954i	−0.882603	+	0.470119i	$0.844211\pi$
$458$	29.6245	+	17.1037i	1.38426	+	0.799203i
$459$	5.46679	−	3.15625i	0.255168	−	0.147321i
$460$	25.2636	+	25.2636i	1.17792	+	1.17792i
$461$	−1.90787	+	7.12028i	−0.0888585	+	0.331624i	−0.996017	−	0.0891650i	$-0.971580\pi$
$461$	−1.90787	+	7.12028i	−0.0888585	+	0.331624i	0.907158	+	0.420789i	$0.138247\pi$
$462$	26.6591	−	19.0364i	1.24029	−	0.885652i
$463$	10.2671	+	10.2671i	0.477153	+	0.477153i	0.904220	−	0.427067i	$-0.140453\pi$
$463$	10.2671	+	10.2671i	0.477153	+	0.477153i	−0.427067	+	0.904220i	$0.640453\pi$
$464$	6.02380	+	10.4335i	0.279648	+	0.484364i
$465$	6.61680	−	11.4606i	0.306847	−	0.531474i
$466$	3.83867	−	1.02857i	0.177823	−	0.0476475i
$467$	34.1823			1.58177			0.790883	−	0.611967i	$-0.209621\pi$
$467$	34.1823			1.58177			0.790883	+	0.611967i	$0.209621\pi$
$468$	15.0700	+	10.2430i	0.696611	+	0.473481i
$469$	−17.9845	+	21.8398i	−0.830449	+	1.00847i
$470$	−4.62608	−	17.2648i	−0.213385	−	0.796364i
$471$	9.99103	−	17.3050i	0.460363	−	0.797371i
$472$	34.6877	+	60.0808i	1.59663	+	2.76544i
$473$	35.3229	−	35.3229i	1.62415	−	1.62415i
$474$	−0.637894	+	2.38065i	−0.0292994	+	0.109347i
$475$	9.08699	+	2.43485i	0.416940	+	0.111719i
$476$	8.13285	+	84.0113i	0.372769	+	3.85065i
$477$	−0.199415	−	0.345397i	−0.00913060	−	0.0158147i
$478$	−10.3865	−	5.99668i	−0.475070	−	0.274282i
$479$	9.19517	+	34.3169i	0.420138	+	1.56798i	0.774316	+	0.632799i	$0.218094\pi$
$479$	9.19517	+	34.3169i	0.420138	+	1.56798i	−0.354178	+	0.935178i	$0.615239\pi$
$480$			23.5564i			1.07520i
$481$	−2.09761	+	0.400003i	−0.0956430	+	0.0182386i
$482$			25.5005i			1.16152i
$483$	−4.65190	+	10.2215i	−0.211669	+	0.465097i
$484$	−27.1207	+	46.9745i	−1.23276	+	2.13520i
$485$	9.23087	−	5.32944i	0.419152	−	0.241998i
$486$	1.87800	+	1.87800i	0.0851876	+	0.0851876i
$487$	22.0147	+	5.89883i	0.997583	+	0.267302i	0.720433	−	0.693525i	$-0.243943\pi$
$487$	22.0147	+	5.89883i	0.997583	+	0.267302i	0.277150	+	0.960827i	$0.410610\pi$
$488$	−38.2622	−	10.2523i	−1.73205	−	0.464101i
$489$	4.00535	−	4.00535i	0.181128	−	0.181128i
$490$	20.3384	+	23.3483i	0.918797	+	1.05477i
$491$	12.8664	+	7.42840i	0.580651	+	0.335239i	0.761392	−	0.648292i	$-0.224516\pi$
$491$	12.8664	+	7.42840i	0.580651	+	0.335239i	−0.180741	+	0.983531i	$0.557850\pi$
$492$	6.29027	−	1.68547i	0.283587	−	0.0759870i
$493$	−6.65198			−0.299590
$494$	40.3615	+	2.96655i	1.81595	+	0.133471i
$495$			7.76451i			0.348989i
$496$	−87.7441	+	23.5110i	−3.93983	+	1.05567i
$497$	−4.14733	−	11.0752i	−0.186033	−	0.496791i
$498$	25.3515	−	14.6367i	1.13603	−	0.655886i
$499$	−11.2290	+	11.2290i	−0.502679	+	0.502679i	−0.912270	−	0.409590i	$-0.865672\pi$
$499$	−11.2290	+	11.2290i	−0.502679	+	0.502679i	0.409590	+	0.912270i	$0.365672\pi$
$500$	15.7420	−	58.7500i	0.704004	−	2.62738i
$501$	1.10228	−	4.11377i	0.0492464	−	0.183790i
$502$	48.5880	−	48.5880i	2.16859	−	2.16859i
$503$	13.8096	−	7.97299i	0.615741	−	0.355498i	−0.159468	−	0.987203i	$-0.550978\pi$
$503$	13.8096	−	7.97299i	0.615741	−	0.355498i	0.775209	+	0.631705i	$0.217645\pi$
$504$	−20.0953	+	7.52507i	−0.895115	+	0.335193i
$505$	1.52058	−	0.407439i	0.0676651	−	0.0181308i
$506$		−	52.5548i		−	2.33635i
$507$	−10.1870	−	8.07622i	−0.452420	−	0.358677i
$508$	9.37043			0.415745
$509$	−21.2058	+	5.68207i	−0.939930	+	0.251853i	−0.696084	−	0.717961i	$-0.745076\pi$
$509$	−21.2058	+	5.68207i	−0.939930	+	0.251853i	−0.243846	+	0.969814i	$0.578409\pi$
$510$	−24.1823	−	13.9616i	−1.07081	−	0.618231i
$511$	3.45227	+	0.575892i	0.152719	+	0.0254759i
$512$	−16.7938	+	16.7938i	−0.742187	+	0.742187i
$513$	4.08225	+	1.09384i	0.180236	+	0.0482940i
$514$	−58.6887	−	15.7256i	−2.58865	−	0.693626i
$515$	9.48019	+	9.48019i	0.417747	+	0.417747i
$516$	−46.8982	+	27.0767i	−2.06458	+	1.19198i
$517$	−9.41849	+	16.3133i	−0.414225	+	0.717458i
$518$	1.72388	−	3.78785i	0.0757429	−	0.166429i
$519$		−	1.74786i		−	0.0767226i
$520$	3.57011	−	48.5733i	0.156560	−	2.13008i
$521$			27.9103i			1.22277i	0.791332	+	0.611387i	$0.209388\pi$
$521$			27.9103i			1.22277i	−0.791332	+	0.611387i	$0.790612\pi$
$522$	−0.724361	−	2.70335i	−0.0317044	−	0.118322i
$523$	14.4506	+	8.34306i	0.631881	+	0.364817i	0.781480	−	0.623930i	$-0.214465\pi$
$523$	14.4506	+	8.34306i	0.631881	+	0.364817i	−0.149599	+	0.988747i	$0.547798\pi$
$524$	12.5013	+	21.6529i	0.546122	+	0.945911i
$525$	5.86198	−	0.567479i	0.255838	−	0.0247668i
$526$	−56.0118	−	15.0083i	−2.44223	−	0.654393i
$527$	12.9814	−	48.4472i	0.565478	−	2.11039i
$528$	37.6874	−	37.6874i	1.64013	−	1.64013i
$529$	−2.49141	−	4.31525i	−0.108322	−	0.187620i
$530$	−0.882111	+	1.52786i	−0.0383164	+	0.0663660i
$531$	−2.21391	−	8.26243i	−0.0960756	−	0.358559i
$532$	−35.9217	+	43.6221i	−1.55740	+	1.89126i
$533$	−4.56382	+	0.870294i	−0.197681	+	0.0376966i
$534$	13.1652			0.569712
$535$	27.4279	−	7.34928i	1.18581	−	0.317737i
$536$	−43.3632	+	75.1072i	−1.87300	+	3.24414i
$537$	11.4072	+	19.7578i	0.492256	+	0.852613i
$538$	11.0415	+	11.0415i	0.476032	+	0.476032i
$539$	2.24297	−	32.5559i	0.0966117	−	1.40228i
$540$	2.17853	−	8.13039i	0.0937490	−	0.349876i
$541$	−14.9557	−	14.9557i	−0.642996	−	0.642996i	0.308295	−	0.951291i	$-0.400242\pi$
$541$	−14.9557	−	14.9557i	−0.642996	−	0.642996i	−0.951291	+	0.308295i	$0.900242\pi$
$542$	15.9991	−	9.23708i	0.687220	−	0.396767i
$543$	−11.9014	−	6.87127i	−0.510737	−	0.294874i
$544$	23.1074	+	86.2380i	0.990722	+	3.69743i
$545$	−3.69285			−0.158184
$546$	24.3140	−	7.12177i	1.04054	−	0.304783i
$547$	39.1844			1.67540			0.837702	−	0.546127i	$-0.183898\pi$
$547$	39.1844			1.67540			0.837702	+	0.546127i	$0.183898\pi$
$548$	9.22600	+	34.4319i	0.394115	+	1.47086i
$549$	4.22976	+	2.44205i	0.180522	+	0.104224i
$550$	−23.8682	+	13.7803i	−1.01775	+	0.587595i
$551$	−3.14912	−	3.14912i	−0.134157	−	0.134157i
$552$	−8.91006	+	33.2528i	−0.379237	+	1.41533i
$553$	1.42678	+	1.99811i	0.0606729	+	0.0849681i
$554$	23.2273	+	23.2273i	0.986833	+	0.986833i
$555$	0.493214	+	0.854271i	0.0209358	+	0.0362618i
$556$	−30.3597	+	52.5845i	−1.28754	+	2.23008i
$557$	−1.74793	+	0.468357i	−0.0740623	+	0.0198449i	−0.295660	−	0.955293i	$-0.595540\pi$
$557$	−1.74793	+	0.468357i	−0.0740623	+	0.0198449i	0.221598	+	0.975138i	$0.428873\pi$
$558$	21.1024			0.893337
$559$	34.7852	−	16.8131i	1.47126	−	0.711117i
$560$	38.8906	+	32.0255i	1.64343	+	1.35332i
$561$	7.61653	+	28.4253i	0.321570	+	1.20012i
$562$	29.3944	−	50.9126i	1.23993	−	2.14762i
$563$	−3.27798	−	5.67763i	−0.138150	−	0.239284i	0.788646	−	0.614847i	$-0.210782\pi$
$563$	−3.27798	−	5.67763i	−0.138150	−	0.239284i	−0.926797	+	0.375564i	$0.877449\pi$
$564$	14.4394	−	14.4394i	0.608009	−	0.608009i
$565$	−2.60829	+	9.73429i	−0.109732	+	0.409524i
$566$	73.6673	+	19.7391i	3.09647	+	0.829696i
$567$	2.63344	−	0.254935i	0.110594	−	0.0107062i
$568$	−18.1263	−	31.3957i	−0.760563	−	1.31733i
$569$	−7.73692	−	4.46691i	−0.324349	−	0.187263i	0.328981	−	0.944337i	$-0.393295\pi$
$569$	−7.73692	−	4.46691i	−0.324349	−	0.187263i	−0.653329	+	0.757074i	$0.726628\pi$
$570$	−4.83856	−	18.0578i	−0.202665	−	0.756356i
$571$		−	21.0842i		−	0.882348i	−0.897422	−	0.441174i	$-0.854562\pi$
$571$		−	21.0842i		−	0.882348i	0.897422	−	0.441174i	$-0.145438\pi$
$572$	−64.3073	+	55.5014i	−2.68882	+	2.32063i
$573$		−	12.0517i		−	0.503468i
$574$	3.75068	−	8.24131i	0.156550	−	0.343986i
$575$	4.72426	−	8.18267i	0.197015	−	0.341241i
$576$	−12.7286	+	7.34885i	−0.530358	+	0.306202i
$577$	−4.76619	−	4.76619i	−0.198419	−	0.198419i	0.600903	−	0.799322i	$-0.294808\pi$
$577$	−4.76619	−	4.76619i	−0.198419	−	0.198419i	−0.799322	+	0.600903i	$0.794808\pi$
$578$	−58.6133	−	15.7054i	−2.43799	−	0.653257i
$579$	4.42174	+	1.18480i	0.183761	+	0.0492386i
$580$	−6.27193	+	6.27193i	−0.260428	+	0.260428i
$581$	4.79831	−	28.7642i	0.199067	−	1.19334i
$582$	14.7196	+	8.49839i	0.610149	+	0.352269i
$583$	1.79594	−	0.481220i	0.0743802	−	0.0199301i
$584$	10.7289			0.443966
$585$	−1.97527	+	5.67103i	−0.0816673	+	0.234468i
$586$		−	61.3791i		−	2.53555i
$587$	13.3468	−	3.57628i	0.550883	−	0.147609i	0.0273686	−	0.999625i	$-0.491287\pi$
$587$	13.3468	−	3.57628i	0.550883	−	0.147609i	0.523515	+	0.852017i	$0.324621\pi$
$588$	−11.4830	+	33.4606i	−0.473552	+	1.37989i
$589$	29.0810	−	16.7899i	1.19826	−	0.691816i
$590$	−26.7555	+	26.7555i	−1.10151	+	1.10151i
$591$	5.05766	−	18.8754i	0.208044	−	0.776432i
$592$	1.75250	−	6.54042i	0.0720273	−	0.268809i
$593$	−17.2336	+	17.2336i	−0.707698	+	0.707698i	−0.966051	−	0.258353i	$-0.916820\pi$
$593$	−17.2336	+	17.2336i	−0.707698	+	0.707698i	0.258353	+	0.966051i	$0.416820\pi$
$594$	−10.7226	+	6.19069i	−0.439953	+	0.254007i
$595$	−26.0501	+	9.75497i	−1.06795	+	0.399915i
$596$	24.0927	−	6.45563i	0.986877	−	0.264433i
$597$			24.4993i			1.00269i
$598$	13.3698	−	38.3849i	0.546730	−	1.56967i
$599$	35.8803			1.46603			0.733015	−	0.680212i	$-0.238112\pi$
$599$	35.8803			1.46603			0.733015	+	0.680212i	$0.238112\pi$
$600$	17.4384	−	4.67259i	0.711918	−	0.190758i
$601$	1.74937	+	1.01000i	0.0713582	+	0.0411987i	0.535255	−	0.844691i	$-0.320216\pi$
$601$	1.74937	+	1.01000i	0.0713582	+	0.0411987i	−0.463896	+	0.885889i	$0.653549\pi$
$602$	−12.3893	+	74.2696i	−0.504951	+	3.02700i
$603$	7.56128	−	7.56128i	0.307919	−	0.307919i
$604$	95.1900	+	25.5061i	3.87323	+	1.03783i
$605$	−17.2670	−	4.62669i	−0.702005	−	0.188102i
$606$	1.77503	+	1.77503i	0.0721057	+	0.0721057i
$607$	−26.9378	+	15.5526i	−1.09337	+	0.631259i	−0.934473	−	0.356035i	$-0.884128\pi$
$607$	−26.9378	+	15.5526i	−1.09337	+	0.631259i	−0.158901	+	0.987295i	$0.550795\pi$
$608$	−29.8868	+	51.7654i	−1.21207	+	2.09936i
$609$	−2.53760	−	1.15488i	−0.102829	−	0.0467980i
$610$		−	21.6048i		−	0.874751i
$611$	−11.0291	+	9.51885i	−0.446190	+	0.385092i
$612$		−	31.9017i		−	1.28955i
$613$	2.49860	+	9.32490i	0.100917	+	0.376629i	0.997850	−	0.0655381i	$-0.0208764\pi$
$613$	2.49860	+	9.32490i	0.100917	+	0.376629i	−0.896933	+	0.442167i	$0.854210\pi$
$614$	−17.9768	−	10.3789i	−0.725485	−	0.418859i
$615$	1.07309	+	1.85865i	0.0432714	+	0.0749482i
$616$	−9.63893	−	99.5689i	−0.388364	−	4.01175i
$617$	−7.40462	−	1.98406i	−0.298099	−	0.0798753i	0.106670	−	0.994294i	$-0.465981\pi$
$617$	−7.40462	−	1.98406i	−0.298099	−	0.0798753i	−0.404768	+	0.914419i	$0.632648\pi$
$618$	−5.53328	+	20.6505i	−0.222581	+	0.830685i
$619$	−23.5040	+	23.5040i	−0.944707	+	0.944707i	−0.998549	−	0.0538424i	$-0.982853\pi$
$619$	−23.5040	+	23.5040i	−0.944707	+	0.944707i	0.0538424	+	0.998549i	$0.482853\pi$
$620$	−33.4395	−	57.9190i	−1.34296	−	2.32608i
$621$	2.12233	−	3.67599i	0.0851663	−	0.147512i
$622$	−7.09446	−	26.4769i	−0.284462	−	1.06163i
$623$	8.33692	−	10.1241i	0.334012	−	0.405612i
$624$	37.1136	−	17.9385i	1.48573	−	0.718114i
$625$	8.91513			0.356605
$626$	53.7104	−	14.3916i	2.14670	−	0.575206i
$627$	−9.85110	+	17.0626i	−0.393415	+	0.681415i
$628$	−50.4920	−	87.4548i	−2.01485	−	3.48983i
$629$	2.64361	+	2.64361i	0.105408	+	0.105408i
$630$	−6.80111	−	9.52447i	−0.270963	−	0.379464i
$631$	−6.11577	+	22.8244i	−0.243465	+	0.908623i	0.730684	+	0.682716i	$0.239201\pi$
$631$	−6.11577	+	22.8244i	−0.243465	+	0.908623i	−0.974149	+	0.225907i	$0.927465\pi$
$632$	5.32192	+	5.32192i	0.211695	+	0.211695i
$633$	19.7731	−	11.4160i	0.785910	−	0.453745i
$634$	27.5057	+	15.8804i	1.09239	+	0.630693i
$635$	0.799278	+	2.98295i	0.0317184	+	0.118375i
$636$	−2.01558			−0.0799231
$637$	9.92032	−	23.2075i	0.393058	−	0.919514i
$638$	13.0472			0.516544
$639$	1.15690	+	4.31760i	0.0457662	+	0.170802i
$640$	15.5039	+	8.95116i	0.612844	+	0.353826i
$641$	−1.08956	+	0.629057i	−0.0430350	+	0.0248463i	−0.521363	−	0.853335i	$-0.674576\pi$
$641$	−1.08956	+	0.629057i	−0.0430350	+	0.0248463i	0.478328	+	0.878181i	$0.341243\pi$
$642$	32.0176	+	32.0176i	1.26363	+	1.26363i
$643$	−8.43652	+	31.4855i	−0.332704	+	1.24167i	0.573633	+	0.819113i	$0.305534\pi$
$643$	−8.43652	+	31.4855i	−0.332704	+	1.24167i	−0.906337	+	0.422556i	$0.861133\pi$
$644$	32.9815	+	46.1883i	1.29965	+	1.82007i
$645$	−12.6198	−	12.6198i	−0.496904	−	0.496904i
$646$	−35.4272	−	61.3617i	−1.39386	−	2.41424i
$647$	−4.65030	+	8.05456i	−0.182822	+	0.316657i	−0.942841	−	0.333244i	$-0.891857\pi$
$647$	−4.65030	+	8.05456i	−0.182822	+	0.316657i	0.760018	+	0.649902i	$0.225190\pi$
$648$	7.83402	−	2.09912i	0.307749	−	0.0824612i
$649$	39.8771			1.56531
$650$	−20.9385	+	3.99285i	−0.821276	+	0.156613i
$651$	13.3632	−	16.2279i	0.523747	−	0.636020i
$652$	−7.40908	−	27.6510i	−0.290162	−	1.08290i
$653$	−13.4181	+	23.2408i	−0.525090	+	0.909482i	0.474483	+	0.880264i	$0.342635\pi$
$653$	−13.4181	+	23.2408i	−0.525090	+	0.909482i	−0.999573	+	0.0292175i	$0.990698\pi$
$654$	−2.94433	−	5.09973i	−0.115132	−	0.199415i
$655$	−5.82657	+	5.82657i	−0.227663	+	0.227663i
$656$	3.81295	−	14.2301i	0.148871	−	0.555593i
$657$	−1.27779	−	0.342383i	−0.0498513	−	0.0133576i
$658$	−2.73584	−	28.2608i	−0.106654	−	1.10172i
$659$	−7.95731	−	13.7825i	−0.309973	−	0.536889i	0.668383	−	0.743817i	$-0.266987\pi$
$659$	−7.95731	−	13.7825i	−0.309973	−	0.536889i	−0.978356	+	0.206928i	$0.933653\pi$
$660$	33.9827	+	19.6199i	1.32277	+	0.763703i
$661$	0.555848	+	2.07445i	0.0216200	+	0.0806868i	0.975893	−	0.218250i	$-0.0700348\pi$
$661$	0.555848	+	2.07445i	0.0216200	+	0.0806868i	−0.954273	+	0.298937i	$0.903368\pi$
$662$			68.8907i			2.67751i
$663$	−1.66835	+	22.6988i	−0.0647934	+	0.881549i
$664$		−	89.3931i		−	3.46913i
$665$	−16.9506	−	7.71432i	−0.657314	−	0.299148i
$666$	−0.786484	+	1.36223i	−0.0304756	+	0.0527853i
$667$	−3.87367	+	2.23647i	−0.149989	+	0.0865963i
$668$	−15.2193	−	15.2193i	−0.588852	−	0.588852i
$669$	12.2434	+	3.28062i	0.473358	+	0.126836i
$670$	−45.6897	−	12.2425i	−1.76515	−	0.472970i
$671$	−16.1001	+	16.1001i	−0.621538	+	0.621538i
$672$	−6.15713	+	36.9099i	−0.237517	+	1.42383i
$673$	−33.3114	−	19.2323i	−1.28406	−	0.741352i	−0.306472	−	0.951880i	$-0.599148\pi$
$673$	−33.3114	−	19.2323i	−1.28406	−	0.741352i	−0.977588	+	0.210528i	$0.932482\pi$
$674$	−67.0376	+	17.9627i	−2.58219	+	0.691896i
$675$	−2.22598			−0.0856779
$676$	−61.0881	+	24.1775i	−2.34954	+	0.929903i
$677$		−	18.0903i		−	0.695268i	−0.937630	−	0.347634i	$-0.886985\pi$
$677$		−	18.0903i		−	0.695268i	0.937630	−	0.347634i	$-0.113015\pi$
$678$	−15.5224	+	4.15921i	−0.596134	+	0.159734i
$679$	15.8566	−	5.93781i	0.608521	−	0.227872i
$680$	−73.8462	+	42.6351i	−2.83187	+	1.63498i
$681$	8.18154	−	8.18154i	0.313517	−	0.313517i
$682$	−25.4617	+	95.0245i	−0.974980	+	3.63868i
$683$	−9.14504	+	34.1297i	−0.349925	+	1.30594i	0.536827	+	0.843693i	$0.319623\pi$
$683$	−9.14504	+	34.1297i	−0.349925	+	1.30594i	−0.886752	+	0.462246i	$0.847044\pi$
$684$	15.1026	−	15.1026i	0.577464	−	0.577464i
$685$	−10.1740	+	5.87394i	−0.388727	+	0.224432i
$686$	25.7650	+	41.8998i	0.983712	+	1.59974i
$687$	−12.4410	+	3.33355i	−0.474652	+	0.127183i
$688$			122.508i			4.67057i
$689$	1.43414	+	0.105408i	0.0546362	+	0.00401573i
$690$	−18.7762			−0.714798
$691$	−18.6167	+	4.98833i	−0.708213	+	0.189765i	−0.594906	−	0.803795i	$-0.702811\pi$
$691$	−18.6167	+	4.98833i	−0.708213	+	0.189765i	−0.113306	+	0.993560i	$0.536144\pi$
$692$	−7.64980	−	4.41661i	−0.290802	−	0.167894i
$693$	−2.02948	+	12.1660i	−0.0770935	+	0.462149i
$694$	−14.0489	+	14.0489i	−0.533289	+	0.533289i
$695$	−19.3292	−	5.17924i	−0.733197	−	0.196460i
$696$	−8.25532	−	2.21201i	−0.312917	−	0.0838459i
$697$	5.75175	+	5.75175i	0.217863	+	0.217863i
$698$	−4.69809	+	2.71244i	−0.177825	+	0.102668i
$699$	−0.748164	+	1.29586i	−0.0282982	+	0.0490139i
$700$	12.3288	−	27.0899i	0.465984	−	1.02390i
$701$			30.2993i			1.14439i	0.820118	+	0.572194i	$0.193908\pi$
$701$			30.2993i			1.14439i	−0.820118	+	0.572194i	$0.806092\pi$
$702$	−9.40643	+	1.79375i	−0.355023	+	0.0677008i
$703$			2.50303i			0.0944035i
$704$	−17.7339	−	66.1839i	−0.668373	−	2.49440i
$705$	5.82824	+	3.36494i	0.219504	+	0.126731i
$706$	−16.6590	−	28.8542i	−0.626969	−	1.08594i
$707$	2.48906	−	0.240957i	0.0936106	−	0.00906214i
$708$	−41.7562	−	11.1885i	−1.56929	−	0.420491i
$709$	−4.09223	+	15.2724i	−0.153687	+	0.573567i	0.845527	+	0.533932i	$0.179286\pi$
$709$	−4.09223	+	15.2724i	−0.153687	+	0.573567i	−0.999214	+	0.0396350i	$0.987380\pi$
$710$	13.9813	−	13.9813i	0.524710	−	0.524710i
$711$	−0.463994	−	0.803661i	−0.0174011	−	0.0301397i
$712$	20.1015	−	34.8167i	0.753334	−	1.30481i
$713$	−8.72896	−	32.5769i	−0.326902	−	1.22002i
$714$	−34.2413	−	28.1968i	−1.28145	−	1.05524i
$715$	−23.1534	−	15.7372i	−0.865888	−	0.588538i
$716$	115.298			4.30888
$717$	4.36189	−	1.16877i	0.162898	−	0.0436483i
$718$	13.0141	−	22.5410i	0.485680	−	0.841223i
$719$	4.93530	+	8.54819i	0.184056	+	0.318794i	0.943258	−	0.332061i	$-0.107744\pi$
$719$	4.93530	+	8.54819i	0.184056	+	0.318794i	−0.759202	+	0.650855i	$0.774411\pi$
$720$	−13.4645	−	13.4645i	−0.501794	−	0.501794i
$721$	12.3763	+	17.3322i	0.460919	+	0.645484i
$722$	−0.782788	+	2.92140i	−0.0291324	+	0.108723i
$723$	−6.78930	−	6.78930i	−0.252497	−	0.252497i
$724$	−60.1465	+	34.7256i	−2.23533	+	1.29057i
$725$	2.03142	+	1.17284i	0.0754452	+	0.0435583i
$726$	−7.37776	−	27.5342i	−0.273815	−	1.02189i
$727$	24.0371			0.891486			0.445743	−	0.895161i	$-0.352939\pi$
$727$	24.0371			0.891486			0.445743	+	0.895161i	$0.352939\pi$
$728$	18.2899	−	75.1751i	0.677870	−	2.78617i
$729$	−1.00000			−0.0370370
$730$	1.51452	+	5.65228i	0.0560551	+	0.209200i
$731$	−58.5794	−	33.8208i	−2.16664	−	1.25091i
$732$	21.3761	−	12.3415i	0.790082	−	0.456154i
$733$	−12.9796	−	12.9796i	−0.479413	−	0.479413i	0.425531	−	0.904944i	$-0.360087\pi$
$733$	−12.9796	−	12.9796i	−0.479413	−	0.479413i	−0.904944	+	0.425531i	$0.860087\pi$
$734$	−17.2964	+	64.5510i	−0.638422	+	2.38262i
$735$	−11.6312	−	0.801346i	−0.429023	−	0.0295581i
$736$	42.4504	+	42.4504i	1.56474	+	1.56474i
$737$	24.9252	+	43.1718i	0.918133	+	1.59025i
$738$	−1.71117	+	2.96383i	−0.0629890	+	0.109100i
$739$	−27.1236	+	7.26773i	−0.997756	+	0.267348i	−0.720505	−	0.693450i	$-0.756090\pi$
$739$	−27.1236	+	7.26773i	−0.997756	+	0.267348i	−0.277251	+	0.960798i	$0.589423\pi$
$740$	4.98514			0.183258
$741$	−11.5357	+	9.95607i	−0.423775	+	0.365745i
$742$	−1.78151	+	2.16340i	−0.0654011	+	0.0794209i
$743$	−5.26385	−	19.6449i	−0.193112	−	0.720703i	−0.992748	−	0.120218i	$-0.961641\pi$
$743$	−5.26385	−	19.6449i	−0.193112	−	0.720703i	0.799636	−	0.600485i	$-0.205026\pi$
$744$	32.2206	−	55.8077i	1.18126	−	2.04601i
$745$	4.11012	+	7.11894i	0.150583	+	0.260818i
$746$	−21.8542	+	21.8542i	−0.800138	+	0.800138i
$747$	−2.85272	+	10.6465i	−0.104376	+	0.389535i
$748$	143.654	+	38.4919i	5.25250	+	1.40740i
$749$	44.8970	−	4.34633i	1.64050	−	0.158811i
$750$	15.9820	+	27.6816i	0.583580	+	1.01079i
$751$	−29.4512	−	17.0036i	−1.07469	−	0.620472i	−0.145230	−	0.989398i	$-0.546392\pi$
$751$	−29.4512	−	17.0036i	−1.07469	−	0.620472i	−0.929459	+	0.368926i	$0.879725\pi$
$752$	−11.9564	−	44.6218i	−0.436004	−	1.62719i
$753$			25.8723i			0.942839i
$754$	9.52941	+	3.31917i	0.347040	+	0.120877i
$755$			32.4781i			1.18200i
$756$	5.53859	−	12.1699i	0.201437	−	0.442614i
$757$	−12.1464	+	21.0382i	−0.441469	+	0.764646i	−0.997799	−	0.0663153i	$-0.978876\pi$
$757$	−12.1464	+	21.0382i	−0.441469	+	0.764646i	0.556330	+	0.830961i	$0.312209\pi$
$758$	59.5530	−	34.3830i	2.16306	−	1.24885i
$759$	13.9923	+	13.9923i	0.507887	+	0.507887i
$760$	−55.1436	−	14.7757i	−2.00027	−	0.535971i
$761$	−16.6934	−	4.47299i	−0.605136	−	0.162146i	−0.0567745	−	0.998387i	$-0.518082\pi$
$761$	−16.6934	−	4.47299i	−0.605136	−	0.162146i	−0.548362	+	0.836241i	$0.684748\pi$
$762$	−3.48210	+	3.48210i	−0.126143	+	0.126143i
$763$	−5.78624	−	0.965233i	−0.209476	−	0.0349438i
$764$	−52.7463	−	30.4531i	−1.90829	−	1.10175i
$765$	10.1555	−	2.72115i	0.367172	−	0.0983835i
$766$	26.9118			0.972364
$767$	29.1254	+	10.1446i	1.05166	+	0.366301i
$768$		−	0.848186i		−	0.0306063i
$769$	10.4169	−	2.79121i	0.375644	−	0.100654i	−0.0660568	−	0.997816i	$-0.521042\pi$
$769$	10.4169	−	2.79121i	0.375644	−	0.100654i	0.441701	+	0.897162i	$0.354375\pi$
$770$	51.0949	−	19.1335i	1.84133	−	0.689522i
$771$	19.8122	−	11.4386i	0.713518	−	0.411950i
$772$	16.3586	−	16.3586i	0.588759	−	0.588759i
$773$	10.6384	−	39.7032i	0.382638	−	1.42802i	−0.459219	−	0.888323i	$-0.651871\pi$
$773$	10.6384	−	39.7032i	0.382638	−	1.42802i	0.841857	−	0.539701i	$-0.181463\pi$
$774$	7.36577	−	27.4894i	0.264757	−	0.988088i
$775$	−12.5063	+	12.5063i	−0.449239	+	0.449239i
$776$	44.9499	−	25.9518i	1.61361	−	0.931616i
$777$	0.549515	+	1.46745i	0.0197138	+	0.0526445i
$778$	65.1727	−	17.4630i	2.33655	−	0.626078i
$779$			5.44589i			0.195119i
$780$	19.8290	+	22.9750i	0.709991	+	0.822638i
$781$	−20.8381			−0.745646
$782$	−68.7382	+	18.4184i	−2.45807	+	0.658639i
$783$	0.912598	+	0.526889i	0.0326136	+	0.0188295i
$784$	52.5659	+	60.3450i	1.87735	+	2.15518i
$785$	23.5332	−	23.5332i	0.839935	−	0.839935i
$786$	−12.6919	−	3.40078i	−0.452704	−	0.121302i
$787$	−26.7623	−	7.17094i	−0.953973	−	0.255616i	−0.251926	−	0.967747i	$-0.581064\pi$
$787$	−26.7623	−	7.17094i	−0.953973	−	0.255616i	−0.702047	+	0.712130i	$0.747731\pi$
$788$	−69.8314	−	69.8314i	−2.48764	−	2.48764i
$789$	18.9085	−	10.9168i	0.673160	−	0.388649i
$790$	−2.05247	+	3.55498i	−0.0730236	+	0.126481i
$791$	−6.63120	+	14.5706i	−0.235778	+	0.518072i
$792$			37.8094i			1.34350i
$793$	−15.8550	+	7.66336i	−0.563027	+	0.272134i
$794$		−	65.0151i		−	2.30730i
$795$	−0.171925	−	0.641634i	−0.00609756	−	0.0227564i
$796$	107.225	+	61.9065i	3.80050	+	2.19422i
$797$	−26.4182	−	45.7577i	−0.935781	−	1.62082i	−0.773235	−	0.634119i	$-0.781363\pi$
$797$	−26.4182	−	45.7577i	−0.935781	−	1.62082i	−0.162546	−	0.986701i	$-0.551971\pi$
$798$	−2.86150	−	29.5589i	−0.101296	−	1.04637i
$799$	24.6376	+	6.60161i	0.871614	+	0.233548i
$800$	8.14837	−	30.4101i	0.288088	−	1.07516i
$801$	−3.50511	+	3.50511i	−0.123847	+	0.123847i
$802$	26.2022	+	45.3835i	0.925232	+	1.60255i
$803$	3.08351	−	5.34079i	0.108815	−	0.188472i
$804$	−13.9868	−	52.1995i	−0.493277	−	1.84093i
$805$	−11.8902	+	14.4390i	−0.419073	+	0.508908i
$806$	−42.7706	+	62.9264i	−1.50653	+	2.21649i
$807$	−5.87940			−0.206965
$808$	7.40451	−	1.98403i	0.260490	−	0.0697980i
$809$	12.7930	−	22.1581i	0.449776	−	0.779036i	−0.548595	−	0.836088i	$-0.684837\pi$
$809$	12.7930	−	22.1581i	0.449776	−	0.779036i	0.998371	+	0.0570528i	$0.0181703\pi$
$810$	2.21174	+	3.83085i	0.0777127	+	0.134602i
$811$	−34.1937	−	34.1937i	−1.20070	−	1.20070i	−0.973953	−	0.226749i	$-0.927190\pi$
$811$	−34.1937	−	34.1937i	−1.20070	−	1.20070i	−0.226749	−	0.973953i	$-0.572810\pi$
$812$	−11.4667	+	8.18798i	−0.402402	+	0.287342i
$813$	−1.80033	+	6.71891i	−0.0631402	+	0.235643i
$814$	−5.18518	−	5.18518i	−0.181741	−	0.181741i
$815$	8.17035	−	4.71716i	0.286195	−	0.165235i
$816$	−62.5005	−	36.0847i	−2.18796	−	1.26322i
$817$	−11.7210	−	43.7433i	−0.410066	−	1.53039i
$818$	68.0320			2.37868
$819$	−4.57728	+	8.36950i	−0.159943	+	0.292454i
$820$	10.8463			0.378768
$821$	−5.38960	−	20.1142i	−0.188098	−	0.701992i	−0.993946	−	0.109869i	$-0.964957\pi$
$821$	−5.38960	−	20.1142i	−0.188098	−	0.701992i	0.805848	−	0.592123i	$-0.201710\pi$
$822$	−16.2235	−	9.36665i	−0.565860	−	0.326700i
$823$	−1.66588	+	0.961795i	−0.0580689	+	0.0335261i	−0.528753	−	0.848776i	$-0.677340\pi$
$823$	−1.66588	+	0.961795i	−0.0580689	+	0.0335261i	0.470684	+	0.882302i	$0.344007\pi$
$824$	46.1639	+	46.1639i	1.60820	+	1.60820i
$825$	2.68582	−	10.0236i	0.0935081	−	0.348977i
$826$	−48.9159	+	34.9292i	−1.70200	+	1.21534i
$827$	22.0447	+	22.0447i	0.766570	+	0.766570i	0.977501	−	0.210931i	$-0.0676495\pi$
$827$	22.0447	+	22.0447i	0.766570	+	0.766570i	−0.210931	+	0.977501i	$0.567649\pi$
$828$	−10.7257	−	18.5775i	−0.372744	−	0.645612i
$829$	−1.67430	+	2.89997i	−0.0581508	+	0.100720i	−0.893635	−	0.448794i	$-0.851854\pi$
$829$	−1.67430	+	2.89997i	−0.0581508	+	0.100720i	0.835485	+	0.549514i	$0.185187\pi$
$830$	47.0946	−	12.6190i	1.63468	−	0.438011i
$831$	−12.3681			−0.429045
$832$	3.88450	−	52.8508i	0.134671	−	1.83227i
$833$	−43.3670	+	8.47586i	−1.50258	+	0.293671i
$834$	−8.25886	−	30.8225i	−0.285981	−	1.06730i
$835$	3.54668	−	6.14303i	0.122738	−	0.212588i
$836$	49.7849	+	86.2299i	1.72185	+	2.98232i
$837$	−5.61834	+	5.61834i	−0.194198	+	0.194198i
$838$	−1.97634	+	7.37582i	−0.0682717	+	0.254793i
$839$	52.8531	+	14.1619i	1.82469	+	0.488925i	0.997349	−	0.0727716i	$-0.0231844\pi$
$839$	52.8531	+	14.1619i	1.82469	+	0.488925i	0.827343	+	0.561696i	$0.189851\pi$
$840$	−35.5729	+	3.44369i	−1.22738	+	0.118819i
$841$	13.9448	+	24.1531i	0.480854	+	0.832864i
$842$	−44.2280	−	25.5351i	−1.52420	−	0.879996i
$843$	5.72903	+	21.3810i	0.197318	+	0.736402i
$844$		−	115.387i		−	3.97178i
$845$	−12.9073	−	17.3843i	−0.444023	−	0.598037i
$846$			10.7315i			0.368958i
$847$	−25.8459	−	11.7627i	−0.888077	−	0.404170i
$848$	−2.27987	+	3.94885i	−0.0782910	+	0.135604i
$849$	−24.8687	+	14.3579i	−0.853490	+	0.492763i
$850$	26.3886	+	26.3886i	0.905123	+	0.905123i
$851$	2.42827	+	0.650654i	0.0832401	+	0.0223041i
$852$	21.8200	+	5.84665i	0.747541	+	0.200303i
$853$	21.1183	−	21.1183i	0.723077	−	0.723077i	−0.246154	−	0.969231i	$-0.579167\pi$
$853$	21.1183	−	21.1183i	0.723077	−	0.723077i	0.969231	+	0.246154i	$0.0791669\pi$
$854$	5.64702	−	33.8519i	0.193237	−	1.15839i
$855$	6.09595	+	3.51950i	0.208477	+	0.120364i
$856$	133.561	−	35.7875i	4.56501	−	1.22319i
$857$	−30.2671			−1.03390			−0.516951	−	0.856015i	$-0.672933\pi$
$857$	−30.2671			−1.03390			−0.516951	+	0.856015i	$0.672933\pi$
$858$	3.27231	−	44.5216i	0.111715	−	1.51994i
$859$		−	2.18372i		−	0.0745075i	−0.999306	−	0.0372537i	$-0.988139\pi$
$859$		−	2.18372i		−	0.0745075i	0.999306	−	0.0372537i	$-0.0118610\pi$
$860$	−87.1212	+	23.3441i	−2.97081	+	0.796026i
$861$	1.19559	+	3.19276i	0.0407456	+	0.108809i
$862$	−84.3170	+	48.6805i	−2.87185	+	1.65806i
$863$	22.7673	−	22.7673i	0.775006	−	0.775006i	−0.203971	−	0.978977i	$-0.565385\pi$
$863$	22.7673	−	22.7673i	0.775006	−	0.775006i	0.978977	+	0.203971i	$0.0653847\pi$
$864$	3.66058	−	13.6615i	0.124535	−	0.464772i
$865$	0.753456	−	2.81194i	0.0256183	−	0.0956087i
$866$	0.278668	−	0.278668i	0.00946954	−	0.00946954i
$867$	19.7867	−	11.4238i	0.671991	−	0.387974i
$868$	−37.2567	−	99.4921i	−1.26458	−	3.37698i
$869$	4.17874	−	1.11969i	0.141754	−	0.0379829i
$870$		−	4.66137i		−	0.158035i
$871$	7.22209	+	37.8726i	0.244711	+	1.28327i
$872$	−17.9824			−0.608961
$873$	−6.18160	+	1.65635i	−0.209215	+	0.0560591i
$874$	−41.2609	−	23.8220i	−1.39567	−	0.805792i
$875$	31.4080	+	5.23934i	1.06178	+	0.177122i
$876$	−4.72730	+	4.72730i	−0.159721	+	0.159721i
$877$	−4.78095	−	1.28105i	−0.161441	−	0.0432580i	0.177193	−	0.984176i	$-0.443298\pi$
$877$	−4.78095	−	1.28105i	−0.161441	−	0.0432580i	−0.338634	+	0.940918i	$0.609965\pi$
$878$	20.8181	+	5.57819i	0.702577	+	0.188255i
$879$	16.3417	+	16.3417i	0.551190	+	0.551190i
$880$	76.8770	−	44.3849i	2.59152	−	1.49622i
$881$	17.8019	−	30.8338i	0.599762	−	1.03882i	−0.393094	−	0.919498i	$-0.628595\pi$
$881$	17.8019	−	30.8338i	0.599762	−	1.03882i	0.992856	−	0.119320i	$-0.0380714\pi$
$882$	−8.16698	−	16.7013i	−0.274997	−	0.562362i
$883$			16.6669i			0.560886i	0.959871	+	0.280443i	$0.0904814\pi$
$883$			16.6669i			0.560886i	−0.959871	+	0.280443i	$0.909519\pi$
$884$	95.1294	+	64.6587i	3.19955	+	2.17471i
$885$		−	14.2469i		−	0.478903i
$886$	−18.0064	−	67.2009i	−0.604937	−	2.25766i
$887$	24.7682	+	14.2999i	0.831635	+	0.480145i	0.854412	−	0.519596i	$-0.173917\pi$
$887$	24.7682	+	14.2999i	0.831635	+	0.480145i	−0.0227770	+	0.999741i	$0.507251\pi$
$888$	2.40171	+	4.15989i	0.0805962	+	0.139597i
$889$	0.472689	+	4.88282i	0.0158535	+	0.163764i
$890$	21.1800	+	5.67515i	0.709954	+	0.190231i
$891$	1.20658	−	4.50301i	0.0404219	−	0.150857i
$892$	45.2957	−	45.2957i	1.51661	−	1.51661i
$893$	8.53842	+	14.7890i	0.285727	+	0.494894i
$894$	−6.55405	+	11.3519i	−0.219200	+	0.379666i
$895$	9.83467	+	36.7035i	0.328737	+	1.22686i
$896$	21.9529	+	18.0777i	0.733396	+	0.603934i
$897$	6.66005	+	13.7792i	0.222373	+	0.460075i
$898$	9.78518			0.326536
$899$	8.08753	−	2.16705i	0.269734	−	0.0722750i
$900$	−5.62475	+	9.74235i	−0.187492	+	0.324745i
$901$	−1.25881	−	2.18032i	−0.0419370	−	0.0726371i
$902$	−11.2815	−	11.2815i	−0.375633	−	0.375633i
$903$	−16.4751	−	23.0722i	−0.548257	−	0.767794i
$904$	−12.7011	+	47.4013i	−0.422433	+	1.57654i
$905$	−16.1848	−	16.1848i	−0.538000	−	0.538000i
$906$	−44.8513	+	25.8949i	−1.49009	+	0.860301i
$907$	31.1299	+	17.9728i	1.03365	+	0.596778i	0.918028	−	0.396515i	$-0.129780\pi$
$907$	31.1299	+	17.9728i	1.03365	+	0.596778i	0.115622	+	0.993293i	$0.463114\pi$
$908$	−15.1342	−	56.4815i	−0.502245	−	1.87441i
$909$	−0.945173			−0.0313494
$910$	42.1861	−	0.976294i	1.39845	−	0.0323638i
$911$	23.0425			0.763432			0.381716	−	0.924280i	$-0.375333\pi$
$911$	23.0425			0.763432			0.381716	+	0.924280i	$0.375333\pi$
$912$	−12.5056	−	46.6714i	−0.414101	−	1.54544i
$913$	−44.4993	−	25.6917i	−1.47271	−	0.850270i
$914$	−22.1919	+	12.8125i	−0.734043	+	0.423800i
$915$	5.75208	+	5.75208i	0.190158	+	0.190158i
$916$	−16.8469	+	62.8733i	−0.556636	+	2.07739i
$917$	−10.6524	+	7.60655i	−0.351774	+	0.251190i
$918$	11.8549	+	11.8549i	0.391268	+	0.391268i
$919$	−19.2005	−	33.2563i	−0.633367	−	1.09702i	−0.986859	−	0.161586i	$-0.948339\pi$
$919$	−19.2005	−	33.2563i	−0.633367	−	1.09702i	0.353492	−	0.935438i	$-0.384994\pi$
$920$	−28.6688	+	49.6558i	−0.945182	+	1.63710i
$921$	7.54947	−	2.02287i	0.248763	−	0.0666560i
$922$	−19.5777			−0.644759
$923$	−15.2197	−	5.30114i	−0.500962	−	0.174489i
$924$	48.1183	+	39.6242i	1.58298	+	1.30354i
$925$	−0.341214	−	1.27343i	−0.0112191	−	0.0418701i
$926$	−19.2816	+	33.3967i	−0.633633	+	1.09748i
$927$	−4.02483	−	6.97120i	−0.132193	−	0.228964i
$928$	−10.5387	+	10.5387i	−0.345950	+	0.345950i
$929$	−0.718418	+	2.68117i	−0.0235705	+	0.0879664i	−0.976709	−	0.214567i	$-0.931166\pi$
$929$	−0.718418	+	2.68117i	−0.0235705	+	0.0879664i	0.953139	+	0.302534i	$0.0978325\pi$
$930$	33.9493	+	9.09669i	1.11324	+	0.298292i
$931$	−24.5430	−	16.5179i	−0.804365	−	0.541351i
$932$	3.78102	+	6.54892i	0.123852	+	0.214517i
$933$	8.93808	+	5.16040i	0.292620	+	0.168944i
$934$	23.4967	+	87.6908i	0.768835	+	2.86933i
$935$			49.0135i			1.60291i
$936$	−9.61860	+	27.6152i	−0.314394	+	0.902631i
$937$			34.9632i			1.14220i	0.820881	+	0.571100i	$0.193483\pi$
$937$			34.9632i			1.14220i	−0.820881	+	0.571100i	$0.806517\pi$
$938$	−68.3901	−	31.1248i	−2.23301	−	1.01626i
$939$	−10.4683	+	18.1316i	−0.341619	+	0.591701i
$940$	29.4544	−	17.0055i	0.960697	−	0.554658i
$941$	5.49420	+	5.49420i	0.179106	+	0.179106i	0.790966	−	0.611860i	$-0.209578\pi$
$941$	5.49420	+	5.49420i	0.179106	+	0.179106i	−0.611860	+	0.790966i	$0.709578\pi$
$942$	51.2618	+	13.7356i	1.67020	+	0.447529i
$943$	5.28324	+	1.41564i	0.172046	+	0.0460996i
$944$	−69.1513	+	69.1513i	−2.25068	+	2.25068i
$945$	4.34654	+	0.725070i	0.141393	+	0.0235865i
$946$	114.898	+	66.3363i	3.73565	+	2.15678i
$947$	19.3584	−	5.18706i	0.629063	−	0.168557i	0.0698185	−	0.997560i	$-0.477758\pi$
$947$	19.3584	−	5.18706i	0.629063	−	0.168557i	0.559244	+	0.829003i	$0.311091\pi$
$948$	−4.68981			−0.152318
$949$	3.61081	−	3.11636i	0.117212	−	0.101161i
$950$			24.9854i			0.810633i
$951$	−11.5512	+	3.09513i	−0.374573	+	0.100367i
$952$	−126.852	+	47.5020i	−4.11128	+	1.53955i
$953$	−10.4017	+	6.00540i	−0.336943	+	0.194534i	−0.658919	−	0.752214i	$-0.728986\pi$
$953$	−10.4017	+	6.00540i	−0.336943	+	0.194534i	0.321977	+	0.946748i	$0.395653\pi$
$954$	0.749002	−	0.749002i	0.0242498	−	0.0242498i
$955$	5.19517	−	19.3887i	0.168112	−	0.627402i
$956$	5.90663	−	22.0438i	0.191034	−	0.712949i
$957$	−3.47371	+	3.47371i	−0.112289	+	0.112289i
$958$	−81.7154	+	47.1784i	−2.64010	+	1.52427i
$959$	−17.4766	+	6.54447i	−0.564350	+	0.211332i
$960$	−23.6455	+	6.33579i	−0.763155	+	0.204487i
$961$			32.1314i			1.03650i
$962$	−2.46805	−	5.10624i	−0.0795732	−	0.164632i
$963$	−17.0488			−0.549390
$964$	−46.8701	+	12.5588i	−1.50959	+	0.404492i
$965$	6.60290	+	3.81219i	0.212555	+	0.122719i
$966$	−29.4199	−	4.90770i	−0.946571	−	0.157903i
$967$	−2.97257	+	2.97257i	−0.0955913	+	0.0955913i	−0.753285	−	0.657694i	$-0.771532\pi$
$967$	−2.97257	+	2.97257i	−0.0955913	+	0.0955913i	0.657694	+	0.753285i	$0.271532\pi$
$968$	−84.0821	−	22.5297i	−2.70250	−	0.724133i
$969$	25.7692	+	6.90484i	0.827826	+	0.221815i
$970$	20.0173	+	20.0173i	0.642718	+	0.642718i
$971$	−25.0492	+	14.4622i	−0.803867	+	0.464113i	−0.844822	−	0.535048i	$-0.820294\pi$
$971$	−25.0492	+	14.4622i	−0.803867	+	0.464113i	0.0409543	+	0.999161i	$0.486960\pi$
$972$	−2.52687	+	4.37666i	−0.0810493	+	0.140382i
$973$	−28.9326	−	13.1674i	−0.927537	−	0.422129i
$974$			60.5312i			1.93954i
$975$	4.51163	−	6.63776i	0.144488	−	0.212578i
$976$		−	55.8388i		−	1.78736i
$977$	−15.0612	−	56.2091i	−0.481850	−	1.79829i	−0.593845	−	0.804579i	$-0.702391\pi$
$977$	−15.0612	−	56.2091i	−0.481850	−	1.79829i	0.111995	−	0.993709i	$-0.464276\pi$
$978$	13.0285	+	7.52203i	0.416607	+	0.240528i
$979$	−11.5544	−	20.0127i	−0.369279	−	0.639610i
$980$	−32.8977	+	48.8810i	−1.05088	+	1.56145i
$981$	2.14166	+	0.573857i	0.0683780	+	0.0183218i
$982$	−10.2125	+	38.1135i	−0.325893	+	1.21625i
$983$	−26.9928	+	26.9928i	−0.860937	+	0.860937i	−0.991447	−	0.130510i	$-0.958339\pi$
$983$	−26.9928	+	26.9928i	−0.860937	+	0.860937i	0.130510	+	0.991447i	$0.458339\pi$
$984$	5.22545	+	9.05075i	0.166581	+	0.288527i
$985$	16.2734	−	28.1864i	0.518514	−	0.898092i
$986$	−4.57253	−	17.0649i	−0.145619	−	0.543458i
$987$	8.25260	+	6.79581i	0.262683	+	0.216313i
$988$	14.4252	+	75.6456i	0.458926	+	2.40661i
$989$	−45.4837			−1.44630
$990$	−19.9190	+	5.33728i	−0.633067	+	0.169630i
$991$	−2.29062	+	3.96747i	−0.0727640	+	0.126031i	−0.900112	−	0.435659i	$-0.856515\pi$
$991$	−2.29062	+	3.96747i	−0.0727640	+	0.126031i	0.827348	+	0.561690i	$0.189849\pi$
$992$	−56.1883	−	97.3211i	−1.78398	−	3.08995i
$993$	−18.3415	−	18.3415i	−0.582051	−	0.582051i
$994$	25.5614	−	18.2525i	0.810758	−	0.578936i
$995$	−10.5610	+	39.4142i	−0.334806	+	1.24951i
$996$	39.3877	+	39.3877i	1.24805	+	1.24805i
$997$	46.4148	−	26.7976i	1.46997	−	0.848689i	0.470540	−	0.882379i	$-0.344059\pi$
$997$	46.4148	−	26.7976i	1.46997	−	0.848689i	0.999432	+	0.0336896i	$0.0107258\pi$
$998$	−36.5255	−	21.0880i	−1.15619	−	0.667529i
$999$	−0.153287	−	0.572076i	−0.00484980	−	0.0180997i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.d.97.8	yes	32
3.2	odd	2		819.2.fm.e.370.1		32
7.6	odd	2		273.2.by.c.97.8	yes	32
13.11	odd	12		273.2.by.c.76.8	✓	32
21.20	even	2		819.2.fm.f.370.1		32
39.11	even	12		819.2.fm.f.622.1		32
91.76	even	12	inner	273.2.by.d.76.8	yes	32
273.167	odd	12		819.2.fm.e.622.1		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.8	✓	32	13.11	odd	12
273.2.by.c.97.8	yes	32	7.6	odd	2
273.2.by.d.76.8	yes	32	91.76	even	12	inner
273.2.by.d.97.8	yes	32	1.1	even	1	trivial
819.2.fm.e.370.1		32	3.2	odd	2
819.2.fm.e.622.1		32	273.167	odd	12
819.2.fm.f.370.1		32	21.20	even	2
819.2.fm.f.622.1		32	39.11	even	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.687394 + 2.56539i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(-1.17771 - 1.17771i) q^{5} +(0.687394 - 2.56539i) q^{6} +(-1.53750 - 2.15316i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.687394 + 2.56539i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(-1.17771 - 1.17771i) q^{5} +(0.687394 - 2.56539i) q^{6} +(-1.53750 - 2.15316i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +(2.21174 - 3.83085i) q^{10} +(-4.50301 + 1.20658i) q^{11} +5.05373 q^{12} +(-3.59585 - 0.264293i) q^{13} +(4.46682 - 5.42436i) q^{14} +(0.431073 + 1.60879i) q^{15} +(5.71638 - 9.90107i) q^{16} +(3.15625 + 5.46679i) q^{17} +(-1.87800 + 1.87800i) q^{18} +(-1.09384 + 4.08225i) q^{19} +(8.13039 + 2.17853i) q^{20} +(0.254935 + 2.63344i) q^{21} +(-6.19069 - 10.7226i) q^{22} +(3.67599 + 2.12233i) q^{23} +(2.09912 + 7.83402i) q^{24} -2.22598i q^{25} +(-1.79375 - 9.40643i) q^{26} -1.00000i q^{27} +(12.1699 + 5.53859i) q^{28} +(-0.526889 + 0.912598i) q^{29} +(-3.83085 + 2.21174i) q^{30} +(-5.61834 - 5.61834i) q^{31} +(13.6615 + 3.66058i) q^{32} +(4.50301 + 1.20658i) q^{33} +(-11.8549 + 11.8549i) q^{34} +(-0.725070 + 4.34654i) q^{35} +(-4.37666 - 2.52687i) q^{36} +(0.572076 - 0.153287i) q^{37} -11.2245 q^{38} +(2.98195 + 2.02681i) q^{39} +13.5081i q^{40} +(1.24468 - 0.333510i) q^{41} +(-6.58056 + 2.46422i) q^{42} +(-9.27990 + 5.35775i) q^{43} +(16.6593 - 16.6593i) q^{44} +(0.431073 - 1.60879i) q^{45} +(-2.91776 + 10.8892i) q^{46} +(2.85718 - 2.85718i) q^{47} +(-9.90107 + 5.71638i) q^{48} +(-2.27219 + 6.62096i) q^{49} +(5.71050 - 1.53012i) q^{50} -6.31250i q^{51} +(16.4057 - 7.92952i) q^{52} -0.398831 q^{53} +(2.56539 - 0.687394i) q^{54} +(6.72427 + 3.88226i) q^{55} +(-3.53074 + 21.1656i) q^{56} +(2.98841 - 2.98841i) q^{57} +(-2.70335 - 0.724361i) q^{58} +(-8.26243 - 2.21391i) q^{59} +(-5.95186 - 5.95186i) q^{60} +(4.22976 - 2.44205i) q^{61} +(10.5512 - 18.2752i) q^{62} +(1.09594 - 2.40809i) q^{63} +14.6977i q^{64} +(3.92362 + 4.54615i) q^{65} +12.3814i q^{66} +(-2.76762 - 10.3289i) q^{67} +(-27.6277 - 15.9509i) q^{68} +(-2.12233 - 3.67599i) q^{69} +(-11.6490 + 1.12770i) q^{70} +(4.31760 + 1.15690i) q^{71} +(2.09912 - 7.83402i) q^{72} +(-0.935407 + 0.935407i) q^{73} +(0.786484 + 1.36223i) q^{74} +(-1.11299 + 1.92775i) q^{75} +(-5.52795 - 20.6306i) q^{76} +(9.52134 + 7.84059i) q^{77} +(-3.14978 + 9.04309i) q^{78} -0.927988 q^{79} +(-18.3929 + 4.92836i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(1.71117 + 2.96383i) q^{82} +(7.79378 + 7.79378i) q^{83} +(-7.77012 - 10.8815i) q^{84} +(2.72115 - 10.1555i) q^{85} +(-20.1237 - 20.1237i) q^{86} +(0.912598 - 0.526889i) q^{87} +(32.7439 + 18.9047i) q^{88} +(1.28296 + 4.78807i) q^{89} +4.42348 q^{90} +(4.95956 + 8.14879i) q^{91} -21.4514 q^{92} +(2.05645 + 7.67479i) q^{93} +(9.29378 + 5.36577i) q^{94} +(6.09595 - 3.51950i) q^{95} +(-10.0009 - 10.0009i) q^{96} +(-1.65635 + 6.18160i) q^{97} +(-18.5472 - 1.27783i) q^{98} +(-3.29643 - 3.29643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

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