LMFDB - Embedded newform 273.2.bt.b.136.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(136,273)]

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, 2, 5]))

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

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

chi := DirichletCharacter("273.136");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bt (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:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			136.5
Character	$\chi$	$=$	273.136
Dual form			273.2.bt.b.271.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.326747 + 0.326747i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.78647i q^{4} +(-0.562238 + 2.09830i) q^{5} +(0.119598 - 0.446344i) q^{6} +(2.25993 - 1.37576i) q^{7} +(-1.23722 - 1.23722i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.326747 + 0.326747i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.78647i q^{4} +(-0.562238 + 2.09830i) q^{5} +(0.119598 - 0.446344i) q^{6} +(2.25993 - 1.37576i) q^{7} +(-1.23722 - 1.23722i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.501904 - 0.869322i) q^{10} +(-1.49457 + 5.57780i) q^{11} +(-0.893237 - 1.54713i) q^{12} +(-2.90451 - 2.13632i) q^{13} +(-0.288898 + 1.18795i) q^{14} +(-0.562238 - 2.09830i) q^{15} -2.76443 q^{16} +0.122965 q^{17} +(0.119598 + 0.446344i) q^{18} +(-3.13410 + 0.839778i) q^{19} +(-3.74856 - 1.00442i) q^{20} +(-1.26927 + 2.32141i) q^{21} +(-1.33418 - 2.31087i) q^{22} -2.57837i q^{23} +(1.69007 + 0.452853i) q^{24} +(0.243373 + 0.140512i) q^{25} +(1.64707 - 0.251003i) q^{26} +1.00000i q^{27} +(2.45777 + 4.03730i) q^{28} +(-4.15898 + 7.20357i) q^{29} +(0.869322 + 0.501904i) q^{30} +(3.50854 - 0.940109i) q^{31} +(3.37771 - 3.37771i) q^{32} +(-1.49457 - 5.57780i) q^{33} +(-0.0401785 + 0.0401785i) q^{34} +(1.61615 + 5.51551i) q^{35} +(1.54713 + 0.893237i) q^{36} +(4.79676 + 4.79676i) q^{37} +(0.749661 - 1.29845i) q^{38} +(3.58353 + 0.397852i) q^{39} +(3.29167 - 1.90044i) q^{40} +(2.63970 - 0.707305i) q^{41} +(-0.343783 - 1.17324i) q^{42} +(3.72224 - 2.14904i) q^{43} +(-9.96459 - 2.67001i) q^{44} +(1.53606 + 1.53606i) q^{45} +(0.842474 + 0.842474i) q^{46} +(2.20812 + 0.591665i) q^{47} +(2.39407 - 1.38222i) q^{48} +(3.21455 - 6.21825i) q^{49} +(-0.125433 + 0.0336097i) q^{50} +(-0.106491 + 0.0614826i) q^{51} +(3.81647 - 5.18882i) q^{52} +(-4.49855 + 7.79171i) q^{53} +(-0.326747 - 0.326747i) q^{54} +(-10.8636 - 6.27210i) q^{55} +(-4.49814 - 1.09390i) q^{56} +(2.29432 - 2.29432i) q^{57} +(-0.994808 - 3.71268i) q^{58} +(5.32125 - 5.32125i) q^{59} +(3.74856 - 1.00442i) q^{60} +(-5.33063 - 3.07764i) q^{61} +(-0.839225 + 1.45358i) q^{62} +(-0.0614826 - 2.64504i) q^{63} -3.32156i q^{64} +(6.11566 - 4.89341i) q^{65} +(2.31087 + 1.33418i) q^{66} +(10.9235 + 2.92695i) q^{67} +0.219674i q^{68} +(1.28919 + 2.23293i) q^{69} +(-2.33025 - 1.27411i) q^{70} +(7.44892 + 1.99593i) q^{71} +(-1.69007 + 0.452853i) q^{72} +(3.23765 + 12.0831i) q^{73} -3.13465 q^{74} -0.281023 q^{75} +(-1.50024 - 5.59898i) q^{76} +(4.29612 + 14.6616i) q^{77} +(-1.30091 + 1.04091i) q^{78} +(6.34069 + 10.9824i) q^{79} +(1.55427 - 5.80061i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-0.631403 + 1.09362i) q^{82} +(-4.76169 - 4.76169i) q^{83} +(-4.14714 - 2.26752i) q^{84} +(-0.0691357 + 0.258018i) q^{85} +(-0.514039 + 1.91842i) q^{86} -8.31796i q^{87} +(8.75006 - 5.05185i) q^{88} +(0.707627 - 0.707627i) q^{89} -1.00381 q^{90} +(-9.50304 - 0.832009i) q^{91} +4.60619 q^{92} +(-2.56843 + 2.56843i) q^{93} +(-0.914821 + 0.528172i) q^{94} -7.04843i q^{95} +(-1.23633 + 4.61403i) q^{96} +(-2.38150 + 8.88790i) q^{97} +(0.981452 + 3.08214i) q^{98} +(4.08324 + 4.08324i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 2 q^{7} + 20 q^{9}+O(q^{10}) $ 40 * q - 2 * q^7 + 20 * q^9	$ 40 q - 2 q^{7} + 20 q^{9} - 8 q^{11} + 24 q^{12} - 18 q^{14} - 64 q^{16} + 8 q^{17} - 14 q^{19} - 14 q^{20} - 8 q^{21} + 4 q^{22} + 18 q^{24} - 24 q^{25} - 10 q^{26} - 2 q^{28} + 8 q^{29} - 8 q^{31} + 10 q^{32} - 8 q^{33} + 24 q^{34} - 22 q^{35} + 12 q^{37} + 8 q^{38} - 24 q^{39} - 30 q^{40} + 2 q^{41} + 6 q^{42} - 66 q^{43} + 28 q^{44} + 40 q^{46} + 10 q^{47} - 24 q^{48} + 38 q^{49} - 20 q^{50} + 40 q^{52} - 8 q^{53} + 42 q^{55} + 20 q^{56} - 14 q^{57} - 48 q^{58} - 26 q^{59} + 14 q^{60} - 12 q^{61} - 24 q^{62} - 4 q^{63} - 44 q^{65} - 18 q^{66} + 46 q^{67} - 4 q^{69} + 32 q^{70} - 6 q^{71} - 18 q^{72} + 10 q^{73} + 40 q^{74} + 48 q^{75} + 64 q^{76} - 24 q^{77} + 8 q^{78} + 34 q^{80} - 20 q^{81} + 24 q^{82} + 12 q^{83} + 20 q^{84} + 2 q^{85} + 12 q^{86} - 84 q^{88} - 16 q^{89} + 26 q^{91} + 236 q^{92} + 22 q^{93} + 30 q^{94} + 26 q^{96} + 62 q^{97} - 14 q^{98} - 4 q^{99}+O(q^{100}) $ 40 * q - 2 * q^7 + 20 * q^9 - 8 * q^11 + 24 * q^12 - 18 * q^14 - 64 * q^16 + 8 * q^17 - 14 * q^19 - 14 * q^20 - 8 * q^21 + 4 * q^22 + 18 * q^24 - 24 * q^25 - 10 * q^26 - 2 * q^28 + 8 * q^29 - 8 * q^31 + 10 * q^32 - 8 * q^33 + 24 * q^34 - 22 * q^35 + 12 * q^37 + 8 * q^38 - 24 * q^39 - 30 * q^40 + 2 * q^41 + 6 * q^42 - 66 * q^43 + 28 * q^44 + 40 * q^46 + 10 * q^47 - 24 * q^48 + 38 * q^49 - 20 * q^50 + 40 * q^52 - 8 * q^53 + 42 * q^55 + 20 * q^56 - 14 * q^57 - 48 * q^58 - 26 * q^59 + 14 * q^60 - 12 * q^61 - 24 * q^62 - 4 * q^63 - 44 * q^65 - 18 * q^66 + 46 * q^67 - 4 * q^69 + 32 * q^70 - 6 * q^71 - 18 * q^72 + 10 * q^73 + 40 * q^74 + 48 * q^75 + 64 * q^76 - 24 * q^77 + 8 * q^78 + 34 * q^80 - 20 * q^81 + 24 * q^82 + 12 * q^83 + 20 * q^84 + 2 * q^85 + 12 * q^86 - 84 * q^88 - 16 * q^89 + 26 * q^91 + 236 * q^92 + 22 * q^93 + 30 * q^94 + 26 * q^96 + 62 * q^97 - 14 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	−0.326747	+	0.326747i	−0.231045	+	0.231045i	−0.813129	−	0.582084i	$-0.802238\pi$
$2$	−0.326747	+	0.326747i	−0.231045	+	0.231045i	0.582084	+	0.813129i	$0.302238\pi$
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$4$			1.78647i			0.893237i
$5$	−0.562238	+	2.09830i	−0.251440	+	0.938389i	0.718596	+	0.695428i	$0.244785\pi$
$5$	−0.562238	+	2.09830i	−0.251440	+	0.938389i	−0.970036	+	0.242960i	$0.921881\pi$
$6$	0.119598	−	0.446344i	0.0488255	−	0.182219i
$7$	2.25993	−	1.37576i	0.854172	−	0.519990i
$7$	2.25993	−	1.37576i	0.854172	−	0.519990i
$8$	−1.23722	−	1.23722i	−0.437423	−	0.437423i
$9$	0.500000	−	0.866025i	0.166667	−	0.288675i
$10$	−0.501904	−	0.869322i	−0.158716	−	0.274904i
$11$	−1.49457	+	5.57780i	−0.450629	+	1.68177i	0.250000	+	0.968246i	$0.419569\pi$
$11$	−1.49457	+	5.57780i	−0.450629	+	1.68177i	−0.700630	+	0.713525i	$0.747097\pi$
$12$	−0.893237	−	1.54713i	−0.257855	−	0.446618i
$13$	−2.90451	−	2.13632i	−0.805565	−	0.592508i
$13$	−2.90451	−	2.13632i	−0.805565	−	0.592508i
$14$	−0.288898	+	1.18795i	−0.0772112	+	0.317493i
$15$	−0.562238	−	2.09830i	−0.145169	−	0.541779i
$16$	−2.76443			−0.691108
$17$	0.122965			0.0298234			0.0149117	−	0.999889i	$-0.495253\pi$
$17$	0.122965			0.0298234			0.0149117	+	0.999889i	$0.495253\pi$
$18$	0.119598	+	0.446344i	0.0281894	+	0.105204i
$19$	−3.13410	+	0.839778i	−0.719011	+	0.192658i	−0.599730	−	0.800202i	$-0.704725\pi$
$19$	−3.13410	+	0.839778i	−0.719011	+	0.192658i	−0.119280	+	0.992861i	$0.538059\pi$
$20$	−3.74856	−	1.00442i	−0.838203	−	0.224596i
$21$	−1.26927	+	2.32141i	−0.276978	+	0.506573i
$22$	−1.33418	−	2.31087i	−0.284449	−	0.492680i
$23$		−	2.57837i		−	0.537627i	−0.963192	−	0.268814i	$-0.913368\pi$
$23$		−	2.57837i		−	0.537627i	0.963192	−	0.268814i	$-0.0866316\pi$
$24$	1.69007	+	0.452853i	0.344984	+	0.0924383i
$25$	0.243373	+	0.140512i	0.0486747	+	0.0281023i
$26$	1.64707	−	0.251003i	0.323017	−	0.0492257i
$27$			1.00000i			0.192450i
$28$	2.45777	+	4.03730i	0.464474	+	0.762978i
$29$	−4.15898	+	7.20357i	−0.772303	+	1.33767i	0.163994	+	0.986461i	$0.447562\pi$
$29$	−4.15898	+	7.20357i	−0.772303	+	1.33767i	−0.936298	+	0.351207i	$0.885771\pi$
$30$	0.869322	+	0.501904i	0.158716	+	0.0916346i
$31$	3.50854	−	0.940109i	0.630152	−	0.168849i	0.0704132	−	0.997518i	$-0.477568\pi$
$31$	3.50854	−	0.940109i	0.630152	−	0.168849i	0.559739	+	0.828669i	$0.310902\pi$
$32$	3.37771	−	3.37771i	0.597100	−	0.597100i
$33$	−1.49457	−	5.57780i	−0.260171	−	0.970971i
$34$	−0.0401785	+	0.0401785i	−0.00689055	+	0.00689055i
$35$	1.61615	+	5.51551i	0.273179	+	0.932292i
$36$	1.54713	+	0.893237i	0.257855	+	0.148873i
$37$	4.79676	+	4.79676i	0.788582	+	0.788582i	0.981262	−	0.192679i	$-0.0617177\pi$
$37$	4.79676	+	4.79676i	0.788582	+	0.788582i	−0.192679	+	0.981262i	$0.561718\pi$
$38$	0.749661	−	1.29845i	0.121611	−	0.210636i
$39$	3.58353	+	0.397852i	0.573825	+	0.0637074i
$40$	3.29167	−	1.90044i	0.520458	−	0.300487i
$41$	2.63970	−	0.707305i	0.412251	−	0.110462i	−0.0467316	−	0.998907i	$-0.514881\pi$
$41$	2.63970	−	0.707305i	0.412251	−	0.110462i	0.458983	+	0.888445i	$0.348214\pi$
$42$	−0.343783	−	1.17324i	−0.0530468	−	0.181036i
$43$	3.72224	−	2.14904i	0.567636	−	0.327725i	−0.188569	−	0.982060i	$-0.560385\pi$
$43$	3.72224	−	2.14904i	0.567636	−	0.327725i	0.756205	+	0.654335i	$0.227051\pi$
$44$	−9.96459	−	2.67001i	−1.50222	−	0.402518i
$45$	1.53606	+	1.53606i	0.228983	+	0.228983i
$46$	0.842474	+	0.842474i	0.124216	+	0.124216i
$47$	2.20812	+	0.591665i	0.322088	+	0.0863032i	0.416240	−	0.909255i	$-0.363347\pi$
$47$	2.20812	+	0.591665i	0.322088	+	0.0863032i	−0.0941526	+	0.995558i	$0.530014\pi$
$48$	2.39407	−	1.38222i	0.345554	−	0.199506i
$49$	3.21455	−	6.21825i	0.459221	−	0.888322i
$50$	−0.125433	+	0.0336097i	−0.0177389	+	0.00475313i
$51$	−0.106491	+	0.0614826i	−0.0149117	+	0.00860929i
$52$	3.81647	−	5.18882i	0.529250	−	0.719560i
$53$	−4.49855	+	7.79171i	−0.617923	+	1.07027i	0.371941	+	0.928256i	$0.378692\pi$
$53$	−4.49855	+	7.79171i	−0.617923	+	1.07027i	−0.989864	+	0.142017i	$0.954641\pi$
$54$	−0.326747	−	0.326747i	−0.0444646	−	0.0444646i
$55$	−10.8636	−	6.27210i	−1.46485	−	0.845730i
$56$	−4.49814	−	1.09390i	−0.601090	−	0.146179i
$57$	2.29432	−	2.29432i	0.303890	−	0.303890i
$58$	−0.994808	−	3.71268i	−0.130625	−	0.487498i
$59$	5.32125	−	5.32125i	0.692768	−	0.692768i	−0.270072	−	0.962840i	$-0.587048\pi$
$59$	5.32125	−	5.32125i	0.692768	−	0.692768i	0.962840	+	0.270072i	$0.0870476\pi$
$60$	3.74856	−	1.00442i	0.483937	−	0.129670i
$61$	−5.33063	−	3.07764i	−0.682518	−	0.394052i	0.118285	−	0.992980i	$-0.462260\pi$
$61$	−5.33063	−	3.07764i	−0.682518	−	0.394052i	−0.800803	+	0.598928i	$0.795594\pi$
$62$	−0.839225	+	1.45358i	−0.106582	+	0.184605i
$63$	−0.0614826	−	2.64504i	−0.00774608	−	0.333243i
$64$		−	3.32156i		−	0.415195i
$65$	6.11566	−	4.89341i	0.758554	−	0.606952i
$66$	2.31087	+	1.33418i	0.284449	+	0.164227i
$67$	10.9235	+	2.92695i	1.33452	+	0.357583i	0.854398	−	0.519619i	$-0.173926\pi$
$67$	10.9235	+	2.92695i	1.33452	+	0.357583i	0.480121	+	0.877202i	$0.340593\pi$
$68$			0.219674i			0.0266394i
$69$	1.28919	+	2.23293i	0.155200	+	0.268814i
$70$	−2.33025	−	1.27411i	−0.278518	−	0.152285i
$71$	7.44892	+	1.99593i	0.884024	+	0.236873i	0.672142	−	0.740422i	$-0.265374\pi$
$71$	7.44892	+	1.99593i	0.884024	+	0.236873i	0.211881	+	0.977295i	$0.432041\pi$
$72$	−1.69007	+	0.452853i	−0.199177	+	0.0533693i
$73$	3.23765	+	12.0831i	0.378939	+	1.41422i	0.847504	+	0.530789i	$0.178104\pi$
$73$	3.23765	+	12.0831i	0.378939	+	1.41422i	−0.468565	+	0.883429i	$0.655229\pi$
$74$	−3.13465			−0.364396
$75$	−0.281023			−0.0324498
$76$	−1.50024	−	5.59898i	−0.172089	−	0.642247i
$77$	4.29612	+	14.6616i	0.489589	+	1.67084i
$78$	−1.30091	+	1.04091i	−0.147298	+	0.117860i
$79$	6.34069	+	10.9824i	0.713384	+	1.23562i	0.963580	+	0.267422i	$0.0861717\pi$
$79$	6.34069	+	10.9824i	0.713384	+	1.23562i	−0.250196	+	0.968195i	$0.580495\pi$
$80$	1.55427	−	5.80061i	0.173773	−	0.648528i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	−0.631403	+	1.09362i	−0.0697268	+	0.120770i
$83$	−4.76169	−	4.76169i	−0.522663	−	0.522663i	0.395712	−	0.918375i	$-0.370498\pi$
$83$	−4.76169	−	4.76169i	−0.522663	−	0.522663i	−0.918375	+	0.395712i	$0.870498\pi$
$84$	−4.14714	−	2.26752i	−0.452490	−	0.247407i
$85$	−0.0691357	+	0.258018i	−0.00749882	+	0.0279860i
$86$	−0.514039	+	1.91842i	−0.0554303	+	0.206869i
$87$		−	8.31796i		−	0.891779i
$88$	8.75006	−	5.05185i	0.932760	−	0.538529i
$89$	0.707627	−	0.707627i	0.0750084	−	0.0750084i	−0.668607	−	0.743616i	$-0.733109\pi$
$89$	0.707627	−	0.707627i	0.0750084	−	0.0750084i	0.743616	+	0.668607i	$0.233109\pi$
$90$	−1.00381			−0.105811
$91$	−9.50304	−	0.832009i	−0.996189	−	0.0872183i
$92$	4.60619			0.480228
$93$	−2.56843	+	2.56843i	−0.266333	+	0.266333i
$94$	−0.914821	+	0.528172i	−0.0943566	+	0.0544768i
$95$		−	7.04843i		−	0.723154i
$96$	−1.23633	+	4.61403i	−0.126182	+	0.470918i
$97$	−2.38150	+	8.88790i	−0.241805	+	0.902429i	0.733157	+	0.680059i	$0.238046\pi$
$97$	−2.38150	+	8.88790i	−0.241805	+	0.902429i	−0.974962	+	0.222370i	$0.928621\pi$
$98$	0.981452	+	3.08214i	0.0991416	+	0.311343i
$99$	4.08324	+	4.08324i	0.410381	+	0.410381i
$100$	−0.251020	+	0.434780i	−0.0251020	+	0.0434780i
$101$	−2.96942	−	5.14319i	−0.295468	−	0.511766i	0.679625	−	0.733559i	$-0.262142\pi$
$101$	−2.96942	−	5.14319i	−0.295468	−	0.511766i	−0.975094	+	0.221793i	$0.928809\pi$
$102$	0.0147063	−	0.0548848i	0.00145615	−	0.00543441i
$103$	−1.74407	−	3.02081i	−0.171848	−	0.297649i	0.767218	−	0.641386i	$-0.221640\pi$
$103$	−1.74407	−	3.02081i	−0.171848	−	0.297649i	−0.939066	+	0.343737i	$0.888307\pi$
$104$	0.950416	+	6.23660i	0.0931959	+	0.611548i
$105$	−4.15738	−	3.96850i	−0.405719	−	0.387286i
$106$	−1.07603	−	4.01580i	−0.104513	−	0.390049i
$107$	6.70485			0.648183			0.324091	−	0.946026i	$-0.394942\pi$
$107$	6.70485			0.648183			0.324091	+	0.946026i	$0.394942\pi$
$108$	−1.78647			−0.171903
$109$	3.55678	+	13.2741i	0.340678	+	1.27143i	0.897581	+	0.440850i	$0.145323\pi$
$109$	3.55678	+	13.2741i	0.340678	+	1.27143i	−0.556903	+	0.830577i	$0.688011\pi$
$110$	5.59904	−	1.50026i	0.533847	−	0.143044i
$111$	−6.55250	−	1.75574i	−0.621935	−	0.166647i
$112$	−6.24742	+	3.80321i	−0.590325	+	0.359369i
$113$	−5.21688	−	9.03590i	−0.490763	−	0.850026i	0.509181	−	0.860660i	$-0.329949\pi$
$113$	−5.21688	−	9.03590i	−0.490763	−	0.850026i	−0.999943	+	0.0106335i	$0.996615\pi$
$114$			1.49932i			0.140424i
$115$	5.41020	+	1.44966i	0.504503	+	0.135181i
$116$	−12.8690	−	7.42991i	−1.19485	−	0.689850i
$117$	−3.30236	+	1.44722i	−0.305303	+	0.133795i
$118$			3.47740i			0.320121i
$119$	0.277892	−	0.169171i	0.0254744	−	0.0155079i
$120$	−1.90044	+	3.29167i	−0.173486	+	0.300487i
$121$	−19.3519	−	11.1728i	−1.75926	−	1.01571i
$122$	2.74738	−	0.736157i	0.248736	−	0.0666486i
$123$	−1.93239	+	1.93239i	−0.174238	+	0.174238i
$124$	1.67948	+	6.26791i	0.150822	+	0.562875i
$125$	−8.11198	+	8.11198i	−0.725558	+	0.725558i
$126$	0.884346	+	0.844168i	0.0787838	+	0.0752045i
$127$	−8.07987	−	4.66492i	−0.716973	−	0.413944i	0.0966648	−	0.995317i	$-0.469183\pi$
$127$	−8.07987	−	4.66492i	−0.716973	−	0.413944i	−0.813637	+	0.581373i	$0.802516\pi$
$128$	7.84072	+	7.84072i	0.693028	+	0.693028i
$129$	−2.14904	+	3.72224i	−0.189212	+	0.327725i
$130$	−0.399367	+	3.59718i	−0.0350268	+	0.315493i
$131$	5.51203	−	3.18237i	0.481589	−	0.278045i	−0.239490	−	0.970899i	$-0.576980\pi$
$131$	5.51203	−	3.18237i	0.481589	−	0.278045i	0.721078	+	0.692854i	$0.243647\pi$
$132$	9.96459	−	2.67001i	0.867307	−	0.232394i
$133$	−5.92749	+	6.20961i	−0.513979	+	0.538442i
$134$	−4.52559	+	2.61285i	−0.390952	+	0.225716i
$135$	−2.09830	−	0.562238i	−0.180593	−	0.0483897i
$136$	−0.152135	−	0.152135i	−0.0130454	−	0.0130454i
$137$	9.85063	+	9.85063i	0.841597	+	0.841597i	0.989067	−	0.147470i	$-0.0471130\pi$
$137$	9.85063	+	9.85063i	0.841597	+	0.841597i	−0.147470	+	0.989067i	$0.547113\pi$
$138$	−1.15084	−	0.308367i	−0.0979661	−	0.0262499i
$139$	16.9801	−	9.80347i	1.44023	−	0.831520i	0.442370	−	0.896833i	$-0.354138\pi$
$139$	16.9801	−	9.80347i	1.44023	−	0.831520i	0.997865	+	0.0653129i	$0.0208045\pi$
$140$	−9.85332	+	2.88721i	−0.832757	+	0.244014i
$141$	−2.20812	+	0.591665i	−0.185957	+	0.0498272i
$142$	−3.08607	+	1.78175i	−0.258978	+	0.149521i
$143$	16.2569	−	13.0079i	1.35947	−	1.08777i
$144$	−1.38222	+	2.39407i	−0.115185	+	0.199506i
$145$	−12.7769	−	12.7769i	−1.06106	−	1.06106i
$146$	−5.00600	−	2.89022i	−0.414300	−	0.239196i
$147$	0.325247	+	6.99244i	0.0268260	+	0.576727i
$148$	−8.56928	+	8.56928i	−0.704391	+	0.704391i
$149$	−5.38064	−	20.0808i	−0.440800	−	1.64509i	−0.726794	−	0.686855i	$-0.758991\pi$
$149$	−5.38064	−	20.0808i	−0.440800	−	1.64509i	0.285995	−	0.958231i	$-0.407676\pi$
$150$	0.0918234	−	0.0918234i	0.00749735	−	0.00749735i
$151$	−6.13492	+	1.64385i	−0.499252	+	0.133774i	−0.499653	−	0.866226i	$-0.666539\pi$
$151$	−6.13492	+	1.64385i	−0.499252	+	0.133774i	0.000400666		1.00000i	$0.499872\pi$
$152$	4.91655	+	2.83857i	0.398785	+	0.230238i
$153$	0.0614826	−	0.106491i	0.00497057	−	0.00860929i
$154$	−6.19438	−	3.38689i	−0.499157	−	0.272923i
$155$			7.89053i			0.633783i
$156$	−0.710752	+	6.40189i	−0.0569057	+	0.512561i
$157$	−14.9626	−	8.63869i	−1.19415	−	0.689442i	−0.234904	−	0.972018i	$-0.575478\pi$
$157$	−14.9626	−	8.63869i	−1.19415	−	0.689442i	−0.959245	+	0.282576i	$0.908811\pi$
$158$	−5.66027	−	1.51666i	−0.450307	−	0.120659i
$159$		−	8.99709i		−	0.713516i
$160$	5.18837	+	8.98651i	0.410176	+	0.710446i
$161$	−3.54723	−	5.82693i	−0.279561	−	0.459227i
$162$	0.446344	+	0.119598i	0.0350681	+	0.00939648i
$163$	7.03582	−	1.88524i	0.551088	−	0.147664i	0.0274791	−	0.999622i	$-0.491252\pi$
$163$	7.03582	−	1.88524i	0.551088	−	0.147664i	0.523609	+	0.851959i	$0.324585\pi$
$164$	1.26358	+	4.71575i	0.0986691	+	0.368238i
$165$	12.5442			0.976565
$166$	3.11173			0.241517
$167$	3.95502	+	14.7603i	0.306049	+	1.14219i	0.932039	+	0.362359i	$0.118029\pi$
$167$	3.95502	+	14.7603i	0.306049	+	1.14219i	−0.625990	+	0.779831i	$0.715305\pi$
$168$	4.44246	−	1.30172i	0.342743	−	0.100430i
$169$	3.87230	+	12.4099i	0.297869	+	0.954607i
$170$	−0.0617167	−	0.106896i	−0.00473345	−	0.00819858i
$171$	−0.839778	+	3.13410i	−0.0642194	+	0.239670i
$172$	3.83919	+	6.64968i	0.292736	+	0.507033i
$173$	6.72299	−	11.6446i	0.511139	−	0.885319i	−0.488777	−	0.872408i	$-0.662557\pi$
$173$	6.72299	−	11.6446i	0.511139	−	0.885319i	0.999917	−	0.0129105i	$-0.00410967\pi$
$174$	2.71787	+	2.71787i	0.206041	+	0.206041i
$175$	0.743317	−	0.0172780i	0.0561895	−	0.00130610i
$176$	4.13163	−	15.4195i	0.311433	−	1.16229i
$177$	−1.94771	+	7.26896i	−0.146399	+	0.546369i
$178$			0.462430i			0.0346606i
$179$	−8.80007	+	5.08072i	−0.657748	+	0.379751i	−0.791418	−	0.611275i	$-0.790657\pi$
$179$	−8.80007	+	5.08072i	−0.657748	+	0.379751i	0.133670	+	0.991026i	$0.457324\pi$
$180$	−2.74413	+	2.74413i	−0.204536	+	0.204536i
$181$	−13.2772			−0.986890			−0.493445	−	0.869777i	$-0.664263\pi$
$181$	−13.2772			−0.986890			−0.493445	+	0.869777i	$0.664263\pi$
$182$	3.37694	−	2.83323i	0.250316	−	0.210013i
$183$	6.15529			0.455012
$184$	−3.19001	+	3.19001i	−0.235170	+	0.235170i
$185$	−12.7620	+	7.36812i	−0.938278	+	0.541715i
$186$		−	1.67845i		−	0.123070i
$187$	−0.183780	+	0.685876i	−0.0134393	+	0.0501562i
$188$	−1.05699	+	3.94475i	−0.0770891	+	0.287701i
$189$	1.37576	+	2.25993i	0.100072	+	0.164386i
$190$	2.30305	+	2.30305i	0.167081	+	0.167081i
$191$	1.42282	−	2.46440i	0.102952	−	0.178318i	−0.809948	−	0.586502i	$-0.800505\pi$
$191$	1.42282	−	2.46440i	0.102952	−	0.178318i	0.912900	+	0.408184i	$0.133838\pi$
$192$	1.66078	+	2.87655i	0.119856	+	0.207597i
$193$	2.37352	−	8.85811i	0.170850	−	0.637621i	−0.826371	−	0.563126i	$-0.809599\pi$
$193$	2.37352	−	8.85811i	0.170850	−	0.637621i	0.997221	−	0.0744954i	$-0.0237346\pi$
$194$	−2.12594	−	3.68224i	−0.152634	−	0.264369i
$195$	−2.84961	+	7.29564i	−0.204065	+	0.522452i
$196$	11.1087	+	5.74270i	0.793482	+	0.410193i
$197$	−5.08063	−	18.9612i	−0.361980	−	1.35093i	−0.871469	−	0.490450i	$-0.836833\pi$
$197$	−5.08063	−	18.9612i	−0.361980	−	1.35093i	0.509490	−	0.860477i	$-0.329834\pi$
$198$	−2.66837			−0.189633
$199$	13.0031			0.921764			0.460882	−	0.887461i	$-0.347533\pi$
$199$	13.0031			0.921764			0.460882	+	0.887461i	$0.347533\pi$
$200$	−0.127262	−	0.474949i	−0.00899880	−	0.0335840i
$201$	−10.9235	+	2.92695i	−0.770485	+	0.206451i
$202$	2.65077	+	0.710271i	0.186507	+	0.0499745i
$203$	0.511410	+	22.0013i	0.0358939	+	1.54419i
$204$	−0.109837	−	0.190243i	−0.00769013	−	0.0133197i
$205$			5.93655i			0.414627i
$206$	1.55691	+	0.417172i	0.108475	+	0.0290658i
$207$	−2.23293	−	1.28919i	−0.155200	−	0.0896046i
$208$	8.02931	+	5.90570i	0.556732	+	0.409487i
$209$		−	18.7365i		−	1.29603i
$210$	2.65511	−	0.0617167i	0.183220	−	0.00425885i
$211$	−6.27387	+	10.8667i	−0.431911	+	0.748092i	−0.997038	−	0.0769120i	$-0.975494\pi$
$211$	−6.27387	+	10.8667i	−0.431911	+	0.748092i	0.565127	+	0.825004i	$0.308827\pi$
$212$	−13.9197	−	8.03653i	−0.956007	−	0.551951i
$213$	−7.44892	+	1.99593i	−0.510391	+	0.136759i
$214$	−2.19079	+	2.19079i	−0.149759	+	0.149759i
$215$	2.41654	+	9.01865i	0.164807	+	0.615067i
$216$	1.23722	−	1.23722i	0.0841820	−	0.0841820i
$217$	6.63567	−	6.95150i	0.450459	−	0.471898i
$218$	−5.49943	−	3.17510i	−0.372469	−	0.215045i
$219$	−8.84543	−	8.84543i	−0.597719	−	0.597719i
$220$	11.2049	−	19.4075i	0.755437	−	1.30846i
$221$	−0.357153	−	0.262693i	−0.0240247	−	0.0176706i
$222$	2.71469	−	1.56733i	0.182198	−	0.105192i
$223$	8.42664	−	2.25791i	0.564290	−	0.151201i	0.0346134	−	0.999401i	$-0.488980\pi$
$223$	8.42664	−	2.25791i	0.564290	−	0.151201i	0.529676	+	0.848200i	$0.322313\pi$
$224$	2.98644	−	12.2803i	0.199540	−	0.820512i
$225$	0.243373	−	0.140512i	0.0162249	−	0.00936744i
$226$	4.65705	+	1.24785i	0.309782	+	0.0830059i
$227$	−6.05192	−	6.05192i	−0.401680	−	0.401680i	0.477145	−	0.878825i	$-0.341672\pi$
$227$	−6.05192	−	6.05192i	−0.401680	−	0.401680i	−0.878825	+	0.477145i	$0.841672\pi$
$228$	4.09874	+	4.09874i	0.271445	+	0.271445i
$229$	−0.223009	−	0.0597552i	−0.0147369	−	0.00394873i	0.251443	−	0.967872i	$-0.419095\pi$
$229$	−0.223009	−	0.0597552i	−0.0147369	−	0.00394873i	−0.266180	+	0.963923i	$0.585762\pi$
$230$	−2.24144	+	1.29409i	−0.147796	+	0.0853300i
$231$	−11.0514	−	10.5493i	−0.727126	−	0.694090i
$232$	14.0579	−	3.76682i	0.922949	−	0.247304i
$233$	10.6007	−	6.12033i	0.694476	−	0.400956i	−0.110811	−	0.993842i	$-0.535345\pi$
$233$	10.6007	−	6.12033i	0.694476	−	0.400956i	0.805287	+	0.592886i	$0.202011\pi$
$234$	0.606161	−	1.55191i	0.0396260	−	0.101451i
$235$	−2.48298	+	4.30065i	−0.161972	+	0.280543i
$236$	9.50627	+	9.50627i	0.618806	+	0.618806i
$237$	−10.9824	−	6.34069i	−0.713384	−	0.411872i
$238$	−0.0355244	+	0.146077i	−0.00230270	+	0.00946874i
$239$	20.1615	−	20.1615i	1.30414	−	1.30414i	0.378559	−	0.925577i	$-0.376420\pi$
$239$	20.1615	−	20.1615i	1.30414	−	1.30414i	0.925577	−	0.378559i	$-0.123580\pi$
$240$	1.55427	+	5.80061i	0.100328	+	0.374428i
$241$	−21.5604	+	21.5604i	−1.38883	+	1.38883i	−0.561032	+	0.827794i	$0.689596\pi$
$241$	−21.5604	+	21.5604i	−1.38883	+	1.38883i	−0.827794	+	0.561032i	$0.810404\pi$
$242$	9.97384	−	2.67248i	0.641143	−	0.171794i
$243$	0.866025	+	0.500000i	0.0555556	+	0.0320750i
$244$	5.49813	−	9.52303i	0.351981	−	0.609650i
$245$	11.2404	+	10.2412i	0.718124	+	0.654288i
$246$		−	1.26281i		−	0.0805136i
$247$	10.8970	+	4.25628i	0.693361	+	0.270821i
$248$	−5.50394	−	3.17770i	−0.349501	−	0.201784i
$249$	6.50458	+	1.74290i	0.412211	+	0.110452i
$250$		−	5.30113i		−	0.335273i
$251$	−9.75242	−	16.8917i	−0.615567	−	1.06619i	−0.990285	−	0.139055i	$-0.955594\pi$
$251$	−9.75242	−	16.8917i	−0.615567	−	1.06619i	0.374717	−	0.927139i	$-0.377740\pi$
$252$	4.72529	−	0.109837i	0.297665	−	0.00691908i
$253$	14.3816	+	3.85355i	0.904166	+	0.242271i
$254$	4.16432	−	1.11583i	0.261293	−	0.0700131i
$255$	−0.0691357	−	0.258018i	−0.00432945	−	0.0161577i
$256$	1.51925			0.0949534
$257$	24.0783			1.50196			0.750981	−	0.660323i	$-0.229581\pi$
$257$	24.0783			1.50196			0.750981	+	0.660323i	$0.229581\pi$
$258$	−0.514039	−	1.91842i	−0.0320027	−	0.119436i
$259$	17.4395	+	4.24112i	1.08364	+	0.263530i
$260$	8.74194	+	10.9255i	0.542152	+	0.677568i
$261$	4.15898	+	7.20357i	0.257434	+	0.445890i
$262$	−0.761209	+	2.84087i	−0.0470276	+	0.175509i
$263$	−1.61209	−	2.79222i	−0.0994058	−	0.172176i	0.812033	−	0.583611i	$-0.198361\pi$
$263$	−1.61209	−	2.79222i	−0.0994058	−	0.172176i	−0.911439	+	0.411436i	$0.865028\pi$
$264$	−5.05185	+	8.75006i	−0.310920	+	0.538529i
$265$	−13.8201	−	13.8201i	−0.848962	−	0.848962i
$266$	−0.0921822	−	3.96576i	−0.00565205	−	0.243156i
$267$	−0.259010	+	0.966637i	−0.0158511	+	0.0591572i
$268$	−5.22891	+	19.5146i	−0.319407	+	1.19204i
$269$			13.0278i			0.794320i	0.917749	+	0.397160i	$0.130004\pi$
$269$			13.0278i			0.794320i	−0.917749	+	0.397160i	$0.869996\pi$
$270$	0.869322	−	0.501904i	0.0529053	−	0.0305449i
$271$	12.4022	−	12.4022i	0.753382	−	0.753382i	−0.221727	−	0.975109i	$-0.571169\pi$
$271$	12.4022	−	12.4022i	0.753382	−	0.753382i	0.975109	+	0.221727i	$0.0711694\pi$
$272$	−0.339929			−0.0206112
$273$	8.64588	−	4.03098i	0.523272	−	0.243966i
$274$	−6.43733			−0.388893
$275$	−1.14748	+	1.14748i	−0.0691959	+	0.0691959i
$276$	−3.98908	+	2.30309i	−0.240114	+	0.138630i
$277$		−	22.2272i		−	1.33551i	−0.744383	−	0.667753i	$-0.767256\pi$
$277$		−	22.2272i		−	1.33551i	0.744383	−	0.667753i	$-0.232744\pi$
$278$	−2.34494	+	8.75145i	−0.140640	+	0.524877i
$279$	0.940109	−	3.50854i	0.0562829	−	0.210051i
$280$	4.82436	−	8.82342i	0.288311	−	0.527300i
$281$	−10.8193	−	10.8193i	−0.645426	−	0.645426i	0.306458	−	0.951884i	$-0.400856\pi$
$281$	−10.8193	−	10.8193i	−0.645426	−	0.645426i	−0.951884	+	0.306458i	$0.900856\pi$
$282$	0.528172	−	0.914821i	0.0314522	−	0.0544768i
$283$	−11.1077	−	19.2391i	−0.660283	−	1.14364i	−0.980541	−	0.196313i	$-0.937103\pi$
$283$	−11.1077	−	19.2391i	−0.660283	−	1.14364i	0.320259	−	0.947330i	$-0.396230\pi$
$284$	−3.56568	+	13.3073i	−0.211584	+	0.789642i
$285$	3.52421	+	6.10412i	0.208756	+	0.361577i
$286$	−1.06162	+	9.56219i	−0.0627747	+	0.565424i
$287$	4.99244	−	5.23006i	0.294694	−	0.308721i
$288$	−1.23633	−	4.61403i	−0.0728512	−	0.271884i
$289$	−16.9849			−0.999111
$290$	8.34963			0.490307
$291$	−2.38150	−	8.88790i	−0.139606	−	0.521018i
$292$	−21.5861	+	5.78398i	−1.26323	+	0.338482i
$293$	10.4135	+	2.79029i	0.608363	+	0.163010i	0.549832	−	0.835275i	$-0.314692\pi$
$293$	10.4135	+	2.79029i	0.608363	+	0.163010i	0.0585312	+	0.998286i	$0.481358\pi$
$294$	−2.39103	−	2.17848i	−0.139448	−	0.127052i
$295$	8.17378	+	14.1574i	0.475896	+	0.824275i
$296$		−	11.8693i		−	0.689887i
$297$	−5.57780	−	1.49457i	−0.323657	−	0.0867236i
$298$	8.31946	+	4.80324i	0.481933	+	0.278244i
$299$	−5.50822	+	7.48889i	−0.318548	+	0.433094i
$300$		−	0.502040i		−	0.0289853i
$301$	5.45543	−	9.97759i	0.314446	−	0.575099i
$302$	1.46744	−	2.54168i	0.0844418	−	0.146258i
$303$	5.14319	+	2.96942i	0.295468	+	0.170589i
$304$	8.66399	−	2.32151i	0.496914	−	0.133148i
$305$	9.45490	−	9.45490i	0.541386	−	0.541386i
$306$	0.0147063	+	0.0548848i	0.000840706	+	0.00313756i
$307$	20.7789	−	20.7789i	1.18592	−	1.18592i	0.207731	−	0.978186i	$-0.433392\pi$
$307$	20.7789	−	20.7789i	1.18592	−	1.18592i	0.978186	−	0.207731i	$-0.0666080\pi$
$308$	−26.1926	+	7.67491i	−1.49246	+	0.437319i
$309$	3.02081	+	1.74407i	0.171848	+	0.0992164i
$310$	−2.57820	−	2.57820i	−0.146432	−	0.146432i
$311$	−13.5145	+	23.4078i	−0.766336	+	1.32733i	0.173202	+	0.984886i	$0.444589\pi$
$311$	−13.5145	+	23.4078i	−0.766336	+	1.32733i	−0.939538	+	0.342446i	$0.888745\pi$
$312$	−3.94138	−	4.92584i	−0.223137	−	0.278871i
$313$	−6.52501	+	3.76722i	−0.368815	+	0.212936i	−0.672941	−	0.739696i	$-0.734969\pi$
$313$	−6.52501	+	3.76722i	−0.368815	+	0.212936i	0.304125	+	0.952632i	$0.401636\pi$
$314$	7.71166	−	2.06633i	0.435194	−	0.116610i
$315$	5.58465	+	1.35813i	0.314659	+	0.0765220i
$316$	−19.6198	+	11.3275i	−1.10370	+	0.637221i
$317$	19.0373	+	5.10103i	1.06924	+	0.286503i	0.750182	−	0.661232i	$-0.229966\pi$
$317$	19.0373	+	5.10103i	1.06924	+	0.286503i	0.319061	+	0.947734i	$0.396633\pi$
$318$	2.93977	+	2.93977i	0.164854	+	0.164854i
$319$	−33.9642	−	33.9642i	−1.90163	−	1.90163i
$320$	6.96962	+	1.86750i	0.389614	+	0.104397i
$321$	−5.80657	+	3.35243i	−0.324091	+	0.187114i
$322$	3.06298	+	0.744885i	0.170693	+	0.0415108i
$323$	−0.385385	+	0.103263i	−0.0214434	+	0.00574573i
$324$	1.54713	−	0.893237i	0.0859517	−	0.0496243i
$325$	−0.406702	−	0.928039i	−0.0225597	−	0.0514784i
$326$	−1.68293	+	2.91493i	−0.0932091	+	0.161443i
$327$	−9.71731	−	9.71731i	−0.537368	−	0.537368i
$328$	−4.14097	−	2.39079i	−0.228647	−	0.132009i
$329$	5.80419	−	1.70074i	0.319995	−	0.0937646i
$330$	−4.09878	+	4.09878i	−0.225630	+	0.225630i
$331$	1.01552	+	3.78998i	0.0558181	+	0.208316i	0.988203	−	0.153152i	$-0.0489424\pi$
$331$	1.01552	+	3.78998i	0.0558181	+	0.208316i	−0.932385	+	0.361468i	$0.882276\pi$
$332$	8.50662	−	8.50662i	0.466862	−	0.466862i
$333$	6.55250	−	1.75574i	0.359075	−	0.0962137i
$334$	−6.11519	−	3.53061i	−0.334608	−	0.193186i
$335$	−12.2832	+	21.2752i	−0.671104	+	1.16239i
$336$	3.50882	−	6.41738i	0.191422	−	0.350097i
$337$			10.3222i			0.562288i	0.959666	+	0.281144i	$0.0907139\pi$
$337$			10.3222i			0.562288i	−0.959666	+	0.281144i	$0.909286\pi$
$338$	−5.32015	−	2.78963i	−0.289378	−	0.151736i
$339$	9.03590	+	5.21688i	0.490763	+	0.283342i
$340$	−0.460942	−	0.123509i	−0.0249981	−	0.00669822i
$341$			20.9750i			1.13586i
$342$	−0.749661	−	1.29845i	−0.0405370	−	0.0702122i
$343$	−1.29020	−	18.4753i	−0.0696645	−	0.997570i
$344$	−7.26405	−	1.94640i	−0.391651	−	0.104943i
$345$	−5.41020	+	1.44966i	−0.291275	+	0.0780470i
$346$	1.60811	+	6.00153i	0.0864523	+	0.322644i
$347$	−21.1832			−1.13717			−0.568587	−	0.822623i	$-0.692510\pi$
$347$	−21.1832			−1.13717			−0.568587	+	0.822623i	$0.692510\pi$
$348$	14.8598			0.796570
$349$	9.29865	+	34.7030i	0.497745	+	1.85761i	0.514078	+	0.857744i	$0.328134\pi$
$349$	9.29865	+	34.7030i	0.497745	+	1.85761i	−0.0163325	+	0.999867i	$0.505199\pi$
$350$	−0.237231	+	0.248522i	−0.0126805	+	0.0132841i
$351$	2.13632	−	2.90451i	0.114028	−	0.155031i
$352$	13.7920	+	23.8884i	0.735114	+	1.27326i
$353$	−6.94935	+	25.9353i	−0.369877	+	1.38040i	0.490811	+	0.871266i	$0.336700\pi$
$353$	−6.94935	+	25.9353i	−0.369877	+	1.38040i	−0.860688	+	0.509133i	$0.829966\pi$
$354$	−1.73870	−	3.01152i	−0.0924110	−	0.160060i
$355$	−8.37613	+	14.5079i	−0.444559	+	0.769998i
$356$	1.26416	+	1.26416i	0.0670002	+	0.0670002i
$357$	−0.156076	+	0.285453i	−0.00826044	+	0.0151078i
$358$	1.21528	−	4.53550i	0.0642298	−	0.239709i
$359$	4.94676	−	18.4616i	0.261080	−	0.974363i	−0.703526	−	0.710669i	$-0.748392\pi$
$359$	4.94676	−	18.4616i	0.261080	−	0.974363i	0.964606	−	0.263694i	$-0.0849410\pi$
$360$		−	3.80089i		−	0.200324i
$361$	−7.33716	+	4.23611i	−0.386166	+	0.222953i
$362$	4.33830	−	4.33830i	0.228016	−	0.228016i
$363$	22.3456			1.17284
$364$	1.48636	−	16.9769i	0.0779065	−	0.889833i
$365$	−27.1743			−1.42237
$366$	−2.01122	+	2.01122i	−0.105128	+	0.105128i
$367$	6.83001	−	3.94331i	0.356524	−	0.205839i	−0.311031	−	0.950400i	$-0.600674\pi$
$367$	6.83001	−	3.94331i	0.356524	−	0.205839i	0.667555	+	0.744561i	$0.267341\pi$
$368$			7.12773i			0.371559i
$369$	0.707305	−	2.63970i	0.0368208	−	0.137417i
$370$	1.76242	−	6.57744i	0.0916238	−	0.341945i
$371$	0.553164	+	23.7976i	0.0287189	+	1.23551i
$372$	−4.58843	−	4.58843i	−0.237899	−	0.237899i
$373$	11.5329	−	19.9755i	0.597149	−	1.03429i	−0.396091	−	0.918211i	$-0.629633\pi$
$373$	11.5329	−	19.9755i	0.597149	−	1.03429i	0.993240	−	0.116081i	$-0.0370333\pi$
$374$	−0.164058	−	0.284157i	−0.00848325	−	0.0146934i
$375$	2.96919	−	11.0812i	0.153328	−	0.572229i
$376$	−1.99991	−	3.46395i	−0.103138	−	0.178639i
$377$	27.4689	−	12.0379i	1.41472	−	0.619983i
$378$	−1.18795	−	0.288898i	−0.0611016	−	0.0148593i
$379$	0.382149	+	1.42620i	0.0196297	+	0.0732590i	0.975046	−	0.222003i	$-0.0712596\pi$
$379$	0.382149	+	1.42620i	0.0196297	+	0.0732590i	−0.955416	+	0.295262i	$0.904593\pi$
$380$	12.5918			0.645947
$381$	9.32983			0.477982
$382$	0.340332	+	1.27014i	0.0174129	+	0.0649858i
$383$	−20.2186	+	5.41757i	−1.03312	+	0.276825i	−0.735261	−	0.677784i	$-0.762940\pi$
$383$	−20.2186	+	5.41757i	−1.03312	+	0.276825i	−0.297863	+	0.954609i	$0.596274\pi$
$384$	−10.7106	−	2.86990i	−0.546574	−	0.146454i
$385$	−33.1799	+	0.771251i	−1.69100	+	0.0393066i
$386$	2.11882	+	3.66990i	0.107845	+	0.186793i
$387$		−	4.29807i		−	0.218483i
$388$	−15.8780	−	4.25449i	−0.806083	−	0.215989i
$389$	−29.1730	−	16.8431i	−1.47913	−	0.853977i	−0.479410	−	0.877591i	$-0.659149\pi$
$389$	−29.1730	−	16.8431i	−1.47913	−	0.853977i	−0.999721	+	0.0236147i	$0.992483\pi$
$390$	−1.45273	−	3.31493i	−0.0735616	−	0.167858i
$391$		−	0.317050i		−	0.0160339i
$392$	−11.6704	+	3.71624i	−0.589446	+	0.187698i
$393$	−3.18237	+	5.51203i	−0.160530	+	0.278045i
$394$	7.85557	+	4.53542i	0.395758	+	0.228491i
$395$	−26.6094	+	7.12996i	−1.33886	+	0.358747i
$396$	−7.29459	+	7.29459i	−0.366567	+	0.366567i
$397$	2.42423	+	9.04734i	0.121668	+	0.454073i	0.999699	−	0.0245317i	$-0.00780946\pi$
$397$	2.42423	+	9.04734i	0.121668	+	0.454073i	−0.878031	+	0.478604i	$0.841143\pi$
$398$	−4.24872	+	4.24872i	−0.212969	+	0.212969i
$399$	2.02855	−	8.34143i	0.101555	−	0.417594i
$400$	−0.672789	−	0.388435i	−0.0336394	−	0.0194217i
$401$	15.9670	+	15.9670i	0.797356	+	0.797356i	0.982678	−	0.185322i	$-0.0593327\pi$
$401$	15.9670	+	15.9670i	0.797356	+	0.797356i	−0.185322	+	0.982678i	$0.559333\pi$
$402$	2.61285	−	4.52559i	0.130317	−	0.225716i
$403$	−12.1989	−	4.76479i	−0.607672	−	0.237351i
$404$	9.18817	−	5.30479i	0.457128	−	0.263923i
$405$	2.09830	−	0.562238i	0.104265	−	0.0279378i
$406$	−7.35596	−	7.02176i	−0.365070	−	0.348484i
$407$	−33.9245	+	19.5863i	−1.68157	+	0.970857i
$408$	0.207820	+	0.0556852i	0.0102886	+	0.00275683i
$409$	21.8758	+	21.8758i	1.08169	+	1.08169i	0.996352	+	0.0853340i	$0.0271957\pi$
$409$	21.8758	+	21.8758i	1.08169	+	1.08169i	0.0853340	+	0.996352i	$0.472804\pi$
$410$	−1.93975	−	1.93975i	−0.0957974	−	0.0957974i
$411$	−13.4562	−	3.60558i	−0.663746	−	0.177850i
$412$	5.39660	−	3.11573i	0.265871	−	0.153501i
$413$	4.70486	−	19.3464i	0.231511	−	0.951976i
$414$	1.15084	−	0.308367i	0.0565608	−	0.0151554i
$415$	12.6686	−	7.31425i	0.621879	−	0.359042i
$416$	−17.0264	+	2.59471i	−0.834788	+	0.127216i
$417$	−9.80347	+	16.9801i	−0.480078	+	0.831520i
$418$	6.12208	+	6.12208i	0.299441	+	0.299441i
$419$	17.9762	+	10.3786i	0.878196	+	0.507027i	0.870063	−	0.492940i	$-0.164078\pi$
$419$	17.9762	+	10.3786i	0.878196	+	0.507027i	0.00813276	+	0.999967i	$0.497411\pi$
$420$	7.08962	−	7.42705i	0.345938	−	0.362403i
$421$	7.60341	−	7.60341i	0.370568	−	0.370568i	−0.497116	−	0.867684i	$-0.665608\pi$
$421$	7.60341	−	7.60341i	0.370568	−	0.370568i	0.867684	+	0.497116i	$0.165608\pi$
$422$	−1.50068	−	5.60062i	−0.0730520	−	0.272634i
$423$	1.61646	−	1.61646i	0.0785949	−	0.0785949i
$424$	15.2057	−	4.07436i	0.738455	−	0.197868i
$425$	0.0299264	+	0.0172780i	0.00145165	+	0.000838108i
$426$	1.78175	−	3.08607i	0.0863259	−	0.149521i
$427$	−16.2810	+	0.378443i	−0.787891	+	0.0183141i
$428$			11.9780i			0.578980i
$429$	−7.57498	+	19.3936i	−0.365723	+	0.936333i
$430$	−3.73641	−	2.15722i	−0.180186	−	0.104030i
$431$	−11.7708	−	3.15397i	−0.566979	−	0.151922i	−0.0360682	−	0.999349i	$-0.511483\pi$
$431$	−11.7708	−	3.15397i	−0.566979	−	0.151922i	−0.530911	+	0.847428i	$0.678150\pi$
$432$		−	2.76443i		−	0.133004i
$433$	17.4442	+	30.2143i	0.838316	+	1.45201i	0.891302	+	0.453410i	$0.149793\pi$
$433$	17.4442	+	30.2143i	0.838316	+	1.45201i	−0.0529860	+	0.998595i	$0.516874\pi$
$434$	0.103195	+	4.43956i	0.00495354	+	0.213106i
$435$	17.4536	+	4.67667i	0.836835	+	0.224229i
$436$	−23.7138	+	6.35409i	−1.13569	+	0.304306i
$437$	2.16526	+	8.08086i	0.103578	+	0.386560i
$438$	5.78043			0.276200
$439$	−22.6525			−1.08114			−0.540572	−	0.841298i	$-0.681792\pi$
$439$	−22.6525			−1.08114			−0.540572	+	0.841298i	$0.681792\pi$
$440$	5.68069	+	21.2006i	0.270816	+	1.01070i
$441$	−3.77789	−	5.89301i	−0.179900	−	0.280619i
$442$	0.202533	−	0.0308646i	0.00963349	−	0.00146808i
$443$	−0.888399	−	1.53875i	−0.0422091	−	0.0731083i	0.844149	−	0.536109i	$-0.180106\pi$
$443$	−0.888399	−	1.53875i	−0.0422091	−	0.0731083i	−0.886358	+	0.463000i	$0.846773\pi$
$444$	3.13657	−	11.7059i	0.148855	−	0.555535i
$445$	1.08696	+	1.88267i	0.0515269	+	0.0892471i
$446$	−2.01561	+	3.49114i	−0.0954420	+	0.165310i
$447$	14.7002	+	14.7002i	0.695295	+	0.695295i
$448$	−4.56968	−	7.50648i	−0.215897	−	0.354648i
$449$	−1.32995	+	4.96344i	−0.0627643	+	0.234239i	−0.990181	−	0.139790i	$-0.955357\pi$
$449$	−1.32995	+	4.96344i	−0.0627643	+	0.234239i	0.927417	+	0.374029i	$0.122024\pi$
$450$	−0.0336097	+	0.125433i	−0.00158438	+	0.00591298i
$451$			15.7808i			0.743090i
$452$	16.1424	−	9.31982i	0.759274	−	0.438367i
$453$	4.49107	−	4.49107i	0.211009	−	0.211009i
$454$	3.95489			0.185612
$455$	7.08877	−	19.4724i	0.332327	−	0.912882i
$456$	−5.67714			−0.265856
$457$	6.75993	−	6.75993i	0.316216	−	0.316216i	−0.531096	−	0.847312i	$-0.678220\pi$
$457$	6.75993	−	6.75993i	0.316216	−	0.316216i	0.847312	+	0.531096i	$0.178220\pi$
$458$	0.0923924	−	0.0533428i	0.00431721	−	0.00249254i
$459$			0.122965i			0.00573952i
$460$	−2.58977	+	9.66517i	−0.120749	+	0.450641i
$461$	4.25884	−	15.8942i	0.198354	−	0.740267i	−0.793019	−	0.609197i	$-0.791492\pi$
$461$	4.25884	−	15.8942i	0.198354	−	0.740267i	0.991373	−	0.131070i	$-0.0418413\pi$
$462$	7.05793	−	0.164058i	0.328365	−	0.00763268i
$463$	−18.2773	−	18.2773i	−0.849419	−	0.849419i	0.140641	−	0.990061i	$-0.455084\pi$
$463$	−18.2773	−	18.2773i	−0.849419	−	0.849419i	−0.990061	+	0.140641i	$0.955084\pi$
$464$	11.4972	−	19.9138i	0.533745	−	0.924474i
$465$	−3.94526	−	6.83340i	−0.182957	−	0.316891i
$466$	−1.46395	+	5.46355i	−0.0678163	+	0.253094i
$467$	−0.886766	−	1.53592i	−0.0410346	−	0.0710741i	0.844779	−	0.535116i	$-0.179732\pi$
$467$	−0.886766	−	1.53592i	−0.0410346	−	0.0710741i	−0.885813	+	0.464042i	$0.846399\pi$
$468$	−2.58541	−	5.89957i	−0.119511	−	0.272708i
$469$	28.7131	−	8.41349i	1.32585	−	0.388499i
$470$	−0.593917	−	2.21653i	−0.0273954	−	0.102241i
$471$	17.2774			0.796099
$472$	−13.1671			−0.606065
$473$	6.42376	+	23.9738i	0.295365	+	1.10232i
$474$	5.66027	−	1.51666i	0.259985	−	0.0696627i
$475$	−0.880754	−	0.235997i	−0.0404117	−	0.0108283i
$476$	0.302220	+	0.496447i	0.0138522	+	0.0227546i
$477$	4.49855	+	7.79171i	0.205974	+	0.356758i
$478$			13.1754i			0.602628i
$479$	−26.5375	−	7.11071i	−1.21253	−	0.324897i	−0.404776	−	0.914416i	$-0.632651\pi$
$479$	−26.5375	−	7.11071i	−1.21253	−	0.324897i	−0.807755	+	0.589519i	$0.799317\pi$
$480$	−8.98651	−	5.18837i	−0.410176	−	0.236815i
$481$	−3.68481	−	24.1796i	−0.168013	−	1.10250i
$482$		−	14.0896i		−	0.641762i
$483$	5.98546	+	3.27266i	0.272348	+	0.148911i
$484$	19.9599	−	34.5716i	0.907269	−	1.57144i
$485$	−17.3105	−	9.99423i	−0.786030	−	0.453814i
$486$	−0.446344	+	0.119598i	−0.0202466	+	0.00542506i
$487$	8.24504	−	8.24504i	0.373618	−	0.373618i	−0.495175	−	0.868793i	$-0.664896\pi$
$487$	8.24504	−	8.24504i	0.373618	−	0.373618i	0.868793	+	0.495175i	$0.164896\pi$
$488$	2.78744	+	10.4029i	0.126182	+	0.470916i
$489$	−5.15058	+	5.15058i	−0.232917	+	0.232917i
$490$	−7.01906	+	0.326486i	−0.317089	+	0.0147491i
$491$	22.5382	+	13.0124i	1.01713	+	0.587242i	0.913272	−	0.407350i	$-0.133547\pi$
$491$	22.5382	+	13.0124i	1.01713	+	0.587242i	0.103861	+	0.994592i	$0.466880\pi$
$492$	−3.45217	−	3.45217i	−0.155636	−	0.155636i
$493$	−0.511410	+	0.885788i	−0.0230327	+	0.0398939i
$494$	−4.95129	+	2.16984i	−0.222769	+	0.0976258i
$495$	−10.8636	+	6.27210i	−0.488283	+	0.281910i
$496$	−9.69911	+	2.59887i	−0.435503	+	0.116693i
$497$	19.5799	−	5.73729i	0.878281	−	0.257353i
$498$	−2.69484	+	1.55587i	−0.120759	+	0.0697200i
$499$	7.38431	+	1.97862i	0.330567	+	0.0885751i	0.420285	−	0.907392i	$-0.361930\pi$
$499$	7.38431	+	1.97862i	0.330567	+	0.0885751i	−0.0897183	+	0.995967i	$0.528597\pi$
$500$	−14.4918	−	14.4918i	−0.648095	−	0.648095i
$501$	−10.8053	−	10.8053i	−0.482746	−	0.482746i
$502$	8.70588	+	2.33273i	0.388562	+	0.104115i
$503$	−33.6301	+	19.4164i	−1.49949	+	0.865733i	−1.00000		0.000585431i	$-0.999814\pi$
$503$	−33.6301	+	19.4164i	−1.49949	+	0.865733i	−0.499493	+	0.866318i	$0.666480\pi$
$504$	−3.19642	+	3.34855i	−0.142380	+	0.149156i
$505$	12.4615	−	3.33904i	0.554528	−	0.148585i
$506$	−5.95829	+	3.44002i	−0.264878	+	0.152928i
$507$	−9.55845	−	8.81113i	−0.424506	−	0.391316i
$508$	8.33375	−	14.4345i	0.369750	−	0.640426i
$509$	−0.388422	−	0.388422i	−0.0172165	−	0.0172165i	0.698446	−	0.715663i	$-0.253875\pi$
$509$	−0.388422	−	0.388422i	−0.0172165	−	0.0172165i	−0.715663	+	0.698446i	$0.753875\pi$
$510$	0.106896	+	0.0617167i	0.00473345	+	0.00273286i
$511$	23.9403	+	22.8527i	1.05906	+	1.01094i
$512$	−16.1778	+	16.1778i	−0.714967	+	0.714967i
$513$	−0.839778	−	3.13410i	−0.0370771	−	0.138374i
$514$	−7.86751	+	7.86751i	−0.347021	+	0.347021i
$515$	7.31915	−	1.96116i	0.322520	−	0.0864190i
$516$	−6.64968	−	3.83919i	−0.292736	−	0.169011i
$517$	−6.60038	+	11.4322i	−0.290284	+	0.502787i
$518$	−7.08409	+	4.31254i	−0.311257	+	0.189482i
$519$			13.4460i			0.590213i
$520$	−13.6206	−	1.51219i	−0.597303	−	0.0663140i
$521$	2.54536	+	1.46957i	0.111514	+	0.0643828i	0.554720	−	0.832037i	$-0.312825\pi$
$521$	2.54536	+	1.46957i	0.111514	+	0.0643828i	−0.443205	+	0.896420i	$0.646159\pi$
$522$	−3.71268	−	0.994808i	−0.162499	−	0.0435416i
$523$		−	8.08368i		−	0.353475i	−0.984258	−	0.176737i	$-0.943446\pi$
$523$		−	8.08368i		−	0.353475i	0.984258	−	0.176737i	$-0.0565543\pi$
$524$	5.68522	+	9.84710i	0.248360	+	0.430172i
$525$	−0.635092	+	0.386622i	−0.0277177	+	0.0168736i
$526$	1.43910	+	0.385605i	0.0627476	+	0.0168132i
$527$	0.431428	−	0.115601i	0.0187933	−	0.00503565i
$528$	4.13163	+	15.4195i	0.179806	+	0.671046i
$529$	16.3520			0.710957
$530$	9.03134			0.392296
$531$	−1.94771	−	7.26896i	−0.0845235	−	0.315446i
$532$	−11.0933	−	10.5893i	−0.480956	−	0.459105i
$533$	−9.17804	−	3.58486i	−0.397545	−	0.155278i
$534$	−0.231215	−	0.400476i	−0.0100057	−	0.0173303i
$535$	−3.76972	+	14.0688i	−0.162979	+	0.608247i
$536$	−9.89349	−	17.1360i	−0.427334	−	0.740164i
$537$	5.08072	−	8.80007i	0.219249	−	0.379751i
$538$	−4.25680	−	4.25680i	−0.183524	−	0.183524i
$539$	29.8798	+	27.2237i	1.28702	+	1.17261i
$540$	1.00442	−	3.74856i	0.0432235	−	0.161312i
$541$	3.82620	−	14.2796i	0.164501	−	0.613927i	−0.833602	−	0.552366i	$-0.813725\pi$
$541$	3.82620	−	14.2796i	0.164501	−	0.613927i	0.998103	−	0.0615617i	$-0.0196081\pi$
$542$			8.10478i			0.348130i
$543$	11.4984	−	6.63862i	0.493445	−	0.284891i
$544$	0.415340	−	0.415340i	0.0178076	−	0.0178076i
$545$	−29.8528			−1.27875
$546$	−1.50790	+	4.14212i	−0.0645323	+	0.177266i
$547$	11.0304			0.471626			0.235813	−	0.971798i	$-0.424225\pi$
$547$	11.0304			0.471626			0.235813	+	0.971798i	$0.424225\pi$
$548$	−17.5979	+	17.5979i	−0.751745	+	0.751745i
$549$	−5.33063	+	3.07764i	−0.227506	+	0.131351i
$550$		−	0.749873i		−	0.0319747i
$551$	6.98524	−	26.0693i	0.297581	−	1.11059i
$552$	1.16762	−	4.35763i	0.0496974	−	0.185473i
$553$	29.4387	+	16.0961i	1.25186	+	0.684478i
$554$	7.26268	+	7.26268i	0.308562	+	0.308562i
$555$	7.36812	−	12.7620i	0.312759	−	0.541715i
$556$	17.5136	+	30.3345i	0.742744	+	1.28647i
$557$	−2.06673	+	7.71315i	−0.0875702	+	0.326816i	−0.995788	−	0.0916803i	$-0.970776\pi$
$557$	−2.06673	+	7.71315i	−0.0875702	+	0.326816i	0.908218	+	0.418497i	$0.137443\pi$
$558$	0.839225	+	1.45358i	0.0355272	+	0.0615350i
$559$	−15.4023	−	1.71000i	−0.651447	−	0.0723252i
$560$	−4.46773	−	15.2473i	−0.188796	−	0.644315i
$561$	−0.183780	−	0.685876i	−0.00775919	−	0.0289577i
$562$	7.07035			0.298245
$563$	29.9777			1.26341			0.631705	−	0.775209i	$-0.282356\pi$
$563$	29.9777			1.26341			0.631705	+	0.775209i	$0.282356\pi$
$564$	−1.05699	−	3.94475i	−0.0445074	−	0.166104i
$565$	21.8932	−	5.86626i	0.921052	−	0.246795i
$566$	9.91569	+	2.65690i	0.416788	+	0.111678i
$567$	−2.32141	−	1.26927i	−0.0974901	−	0.0533045i
$568$	−6.74653	−	11.6853i	−0.283078	−	0.490306i
$569$			1.11139i			0.0465920i	0.999729	+	0.0232960i	$0.00741601\pi$
$569$			1.11139i			0.0465920i	−0.999729	+	0.0232960i	$0.992584\pi$
$570$	−3.14603	−	0.842975i	−0.131773	−	0.0353084i
$571$	5.83983	+	3.37163i	0.244389	+	0.141098i	0.617192	−	0.786812i	$-0.288270\pi$
$571$	5.83983	+	3.37163i	0.244389	+	0.141098i	−0.372803	+	0.927910i	$0.621603\pi$
$572$	23.2382	+	29.0426i	0.971640	+	1.21433i
$573$			2.84564i			0.118878i
$574$	0.0776406	+	3.34017i	0.00324066	+	0.139416i
$575$	0.362291	−	0.627507i	0.0151086	−	0.0261688i
$576$	−2.87655	−	1.66078i	−0.119856	−	0.0691991i
$577$	−11.5103	+	3.08419i	−0.479182	+	0.128396i	−0.490322	−	0.871542i	$-0.663121\pi$
$577$	−11.5103	+	3.08419i	−0.479182	+	0.128396i	0.0111397	+	0.999938i	$0.496454\pi$
$578$	5.54975	−	5.54975i	0.230839	−	0.230839i
$579$	2.37352	+	8.85811i	0.0986403	+	0.368131i
$580$	22.8256	−	22.8256i	0.947782	−	0.947782i
$581$	−17.3120	−	4.21011i	−0.718224	−	0.174665i
$582$	3.68224	+	2.12594i	0.152634	+	0.0881232i
$583$	−36.7372	−	36.7372i	−1.52150	−	1.52150i
$584$	10.9437	−	18.9551i	0.452855	−	0.784367i
$585$	−1.17998	−	7.74302i	−0.0487864	−	0.320134i
$586$	−4.31430	+	2.49086i	−0.178222	+	0.102897i
$587$	23.1594	−	6.20554i	0.955891	−	0.256130i	0.253031	−	0.967458i	$-0.418573\pi$
$587$	23.1594	−	6.20554i	0.955891	−	0.256130i	0.702860	+	0.711328i	$0.251906\pi$
$588$	−12.4918	+	0.581046i	−0.515153	+	0.0239619i
$589$	−10.2066	+	5.89279i	−0.420556	+	0.242808i
$590$	−7.29664	−	1.95513i	−0.300398	−	0.0804913i
$591$	13.8805	+	13.8805i	0.570969	+	0.570969i
$592$	−13.2603	−	13.2603i	−0.544996	−	0.544996i
$593$	−39.9476	−	10.7039i	−1.64045	−	0.439558i	−0.683535	−	0.729918i	$-0.739558\pi$
$593$	−39.9476	−	10.7039i	−1.64045	−	0.439558i	−0.956917	+	0.290360i	$0.906225\pi$
$594$	2.31087	−	1.33418i	0.0948163	−	0.0547422i
$595$	0.198730	+	0.678216i	0.00814714	+	0.0278042i
$596$	35.8739	−	9.61238i	1.46945	−	0.393738i
$597$	−11.2610	+	6.50154i	−0.460882	+	0.266090i
$598$	−0.647179	−	4.24676i	−0.0264651	−	0.173663i
$599$	−7.72078	+	13.3728i	−0.315463	+	0.546397i	−0.979536	−	0.201270i	$-0.935493\pi$
$599$	−7.72078	+	13.3728i	−0.315463	+	0.546397i	0.664073	+	0.747668i	$0.268826\pi$
$600$	0.347687	+	0.347687i	0.0141943	+	0.0141943i
$601$	14.4303	+	8.33134i	0.588624	+	0.339842i	0.764553	−	0.644561i	$-0.222960\pi$
$601$	14.4303	+	8.33134i	0.588624	+	0.339842i	−0.175929	+	0.984403i	$0.556293\pi$
$602$	1.47760	+	5.04269i	0.0602226	+	0.205525i
$603$	7.99656	−	7.99656i	0.325645	−	0.325645i
$604$	−2.93669	−	10.9599i	−0.119492	−	0.445950i
$605$	34.3243	−	34.3243i	1.39548	−	1.39548i
$606$	−2.65077	+	0.710271i	−0.107680	+	0.0288528i
$607$	10.9099	+	6.29884i	0.442820	+	0.255662i	0.704793	−	0.709413i	$-0.251040\pi$
$607$	10.9099	+	6.29884i	0.442820	+	0.255662i	−0.261973	+	0.965075i	$0.584373\pi$
$608$	−7.74953	+	13.4226i	−0.314285	+	0.544357i
$609$	−11.4436	−	18.7980i	−0.463716	−	0.761733i
$610$			6.17872i			0.250169i
$611$	−5.14952	−	6.43574i	−0.208327	−	0.260362i
$612$	0.190243	+	0.109837i	0.00769013	+	0.00443990i
$613$	28.4973	+	7.63582i	1.15099	+	0.308408i	0.783363	−	0.621564i	$-0.213503\pi$
$613$	28.4973	+	7.63582i	1.15099	+	0.308408i	0.367630	+	0.929972i	$0.380169\pi$
$614$			13.5789i			0.548000i
$615$	−2.96828	−	5.14120i	−0.119692	−	0.207313i
$616$	12.8244	−	23.4548i	0.516708	−	0.945022i
$617$	−15.2562	−	4.08788i	−0.614191	−	0.164572i	−0.0617053	−	0.998094i	$-0.519654\pi$
$617$	−15.2562	−	4.08788i	−0.614191	−	0.164572i	−0.552486	+	0.833522i	$0.686321\pi$
$618$	−1.55691	+	0.417172i	−0.0626280	+	0.0167811i
$619$	−1.19177	−	4.44775i	−0.0479013	−	0.178770i	0.937831	−	0.347094i	$-0.112831\pi$
$619$	−1.19177	−	4.44775i	−0.0479013	−	0.178770i	−0.985732	+	0.168323i	$0.946165\pi$
$620$	−14.0962			−0.566118
$621$	2.57837			0.103466
$622$	−3.23260	−	12.0642i	−0.129615	−	0.483731i
$623$	0.625659	−	2.57272i	0.0250665	−	0.103074i
$624$	−9.90644	−	1.09984i	−0.396575	−	0.0440287i
$625$	−11.7580	−	20.3654i	−0.470318	−	0.814615i
$626$	0.901100	−	3.36295i	0.0360152	−	0.134411i
$627$	9.36824	+	16.2263i	0.374131	+	0.648014i
$628$	15.4328	−	26.7304i	0.615835	−	1.06666i
$629$	0.589834	+	0.589834i	0.0235182	+	0.0235182i
$630$	−2.26853	+	1.38100i	−0.0903805	+	0.0550204i
$631$	2.09530	−	7.81977i	0.0834126	−	0.311300i	−0.911596	−	0.411087i	$-0.865149\pi$
$631$	2.09530	−	7.81977i	0.0834126	−	0.311300i	0.995009	+	0.0997866i	$0.0318160\pi$
$632$	5.74281	−	21.4324i	0.228437	−	0.852537i
$633$		−	12.5477i		−	0.498728i
$634$	−7.88713	+	4.55364i	−0.313238	+	0.180848i
$635$	14.3312	−	14.3312i	0.568717	−	0.568717i
$636$	16.0731			0.637338
$637$	−22.6208	+	11.1937i	−0.896270	+	0.443509i
$638$	22.1954			0.878724
$639$	5.45299	−	5.45299i	0.215717	−	0.215717i
$640$	−20.8605	+	12.0438i	−0.824585	+	0.476074i
$641$		−	39.9738i		−	1.57887i	−0.613834	−	0.789435i	$-0.710374\pi$
$641$		−	39.9738i		−	1.57887i	0.613834	−	0.789435i	$-0.289626\pi$
$642$	0.801884	−	2.99267i	0.0316479	−	0.118111i
$643$	−1.65521	+	6.17734i	−0.0652753	+	0.243611i	−0.990853	−	0.134948i	$-0.956913\pi$
$643$	−1.65521	+	6.17734i	−0.0652753	+	0.243611i	0.925577	+	0.378558i	$0.123580\pi$
$644$	10.4097	−	6.33703i	0.410198	−	0.249714i
$645$	−6.60211	−	6.60211i	−0.259958	−	0.259958i
$646$	0.0921822	−	0.159664i	0.00362686	−	0.00628190i
$647$	13.7926	+	23.8894i	0.542241	+	0.939189i	0.998775	+	0.0494833i	$0.0157575\pi$
$647$	13.7926	+	23.8894i	0.542241	+	0.939189i	−0.456534	+	0.889706i	$0.650909\pi$
$648$	−0.452853	+	1.69007i	−0.0177898	+	0.0663923i
$649$	21.7279	+	37.6339i	0.852895	+	1.47726i
$650$	0.436122	+	0.170345i	0.0171061	+	0.00668150i
$651$	−2.27091	+	9.33801i	−0.0890040	+	0.365985i
$652$	3.36793	+	12.5693i	0.131898	+	0.492252i
$653$	27.6144			1.08063			0.540317	−	0.841462i	$-0.318304\pi$
$653$	27.6144			1.08063			0.540317	+	0.841462i	$0.318304\pi$
$654$	6.35020			0.248312
$655$	3.57850	+	13.3552i	0.139824	+	0.521829i
$656$	−7.29726	+	1.95530i	−0.284910	+	0.0763415i
$657$	12.0831	+	3.23765i	0.471406	+	0.126313i
$658$	−1.34079	+	2.45221i	−0.0522694	+	0.0955971i
$659$	16.0130	+	27.7353i	0.623776	+	1.08041i	0.988776	+	0.149405i	$0.0477357\pi$
$659$	16.0130	+	27.7353i	0.623776	+	1.08041i	−0.365000	+	0.931008i	$0.618931\pi$
$660$			22.4099i			0.872304i
$661$	−30.3654	−	8.13638i	−1.18108	−	0.316468i	−0.385723	−	0.922615i	$-0.626048\pi$
$661$	−30.3654	−	8.13638i	−1.18108	−	0.316468i	−0.795353	+	0.606146i	$0.792715\pi$
$662$	−1.57018	−	0.906545i	−0.0610268	−	0.0352339i
$663$	0.440650	+	0.0489220i	0.0171134	+	0.00189997i
$664$			11.7825i			0.457249i
$665$	−9.69697	−	15.9289i	−0.376033	−	0.617698i
$666$	−1.56733	+	2.71469i	−0.0607326	+	0.105192i
$667$	18.5735	+	10.7234i	0.719167	+	0.415211i
$668$	−26.3690	+	7.06554i	−1.02025	+	0.273374i
$669$	−6.16873	+	6.16873i	−0.238497	+	0.238497i
$670$	−2.93809	−	10.9651i	−0.113508	−	0.423619i
$671$	25.1335	−	25.1335i	0.970267	−	0.970267i
$672$	3.55381	+	12.1283i	0.137091	+	0.467858i
$673$	−10.1615	−	5.86676i	−0.391698	−	0.226147i	0.291198	−	0.956663i	$-0.405946\pi$
$673$	−10.1615	−	5.86676i	−0.391698	−	0.226147i	−0.682896	+	0.730516i	$0.739280\pi$
$674$	−3.37276	−	3.37276i	−0.129914	−	0.129914i
$675$	−0.140512	+	0.243373i	−0.00540829	+	0.00936744i
$676$	−22.1699	+	6.91776i	−0.852690	+	0.266068i
$677$	29.0714	−	16.7844i	1.11730	−	0.645076i	0.176592	−	0.984284i	$-0.443493\pi$
$677$	29.0714	−	16.7844i	1.11730	−	0.645076i	0.940711	+	0.339209i	$0.110159\pi$
$678$	−4.65705	+	1.24785i	−0.178853	+	0.0479235i
$679$	6.84562	+	23.3624i	0.262711	+	0.896566i
$680$	0.404760	−	0.233688i	0.0155218	−	0.00896154i
$681$	8.26708	+	2.21516i	0.316795	+	0.0848850i
$682$	−6.85351	−	6.85351i	−0.262434	−	0.262434i
$683$	−11.3574	−	11.3574i	−0.434579	−	0.434579i	0.455604	−	0.890183i	$-0.349423\pi$
$683$	−11.3574	−	11.3574i	−0.434579	−	0.434579i	−0.890183	+	0.455604i	$0.849423\pi$
$684$	−5.59898	−	1.50024i	−0.214082	−	0.0573632i
$685$	−26.2080	+	15.1312i	−1.00136	+	0.578133i
$686$	6.45830	+	5.61516i	0.246579	+	0.214388i
$687$	0.223009	−	0.0597552i	0.00850834	−	0.00227980i
$688$	−10.2899	+	5.94086i	−0.392298	+	0.226493i
$689$	29.7116	−	13.0207i	1.13192	−	0.496051i
$690$	1.29409	−	2.24144i	0.0492653	−	0.0853300i
$691$	0.204987	+	0.204987i	0.00779807	+	0.00779807i	0.710995	−	0.703197i	$-0.248245\pi$
$691$	0.204987	+	0.204987i	0.00779807	+	0.00779807i	−0.703197	+	0.710995i	$0.748245\pi$
$692$	20.8027	+	12.0104i	0.790799	+	0.456568i
$693$	14.8454	+	3.61025i	0.563930	+	0.137142i
$694$	6.92154	−	6.92154i	0.262738	−	0.262738i
$695$	11.0238	+	41.1413i	0.418155	+	1.56058i
$696$	−10.2911	+	10.2911i	−0.390084	+	0.390084i
$697$	0.324591	−	0.0869739i	0.0122948	−	0.00329437i
$698$	−14.3774	−	8.30080i	−0.544193	−	0.314190i
$699$	−6.12033	+	10.6007i	−0.231492	+	0.400956i
$700$	0.0308668	+	1.32792i	0.00116665	+	0.0501905i
$701$		−	7.44127i		−	0.281053i	−0.990077	−	0.140526i	$-0.955120\pi$
$701$		−	7.44127i		−	0.281053i	0.990077	−	0.140526i	$-0.0448795\pi$
$702$	0.251003	+	1.64707i	0.00947350	+	0.0621647i
$703$	−19.0617	−	11.0053i	−0.718926	−	0.415072i
$704$	18.5270	+	4.96429i	0.698262	+	0.187099i
$705$		−	4.96596i		−	0.187029i
$706$	−6.20361	−	10.7450i	−0.233476	−	0.404392i
$707$	−13.7865	−	7.53801i	−0.518494	−	0.283496i
$708$	−12.9858	−	3.47954i	−0.488037	−	0.130769i
$709$	2.67634	−	0.717124i	0.100512	−	0.0269322i	−0.208212	−	0.978084i	$-0.566765\pi$
$709$	2.67634	−	0.717124i	0.100512	−	0.0269322i	0.308725	+	0.951151i	$0.400098\pi$
$710$	−2.00353	−	7.47728i	−0.0751911	−	0.280617i
$711$	12.6814			0.475589
$712$	−1.75098			−0.0656207
$713$	−2.42395	−	9.04631i	−0.0907777	−	0.338787i
$714$	−0.0422733	−	0.144268i	−0.00158204	−	0.00539910i
$715$	18.1542	+	41.4255i	0.678928	+	1.54922i
$716$	−9.07658	−	15.7211i	−0.339208	−	0.587525i
$717$	−7.37961	+	27.5411i	−0.275596	+	1.02854i
$718$	4.41592	+	7.64859i	0.164800	+	0.285443i
$719$	−4.00871	+	6.94328i	−0.149500	+	0.258941i	−0.931043	−	0.364911i	$-0.881100\pi$
$719$	−4.00871	+	6.94328i	−0.149500	+	0.258941i	0.781543	+	0.623851i	$0.214433\pi$
$720$	−4.24634	−	4.24634i	−0.158252	−	0.158252i
$721$	−8.09738	−	4.42739i	−0.301562	−	0.164885i
$722$	1.01326	−	3.78153i	0.0377095	−	0.140734i
$723$	7.89165	−	29.4520i	0.293493	−	1.09533i
$724$		−	23.7194i		−	0.881526i
$725$	−2.02437	+	1.16877i	−0.0751832	+	0.0434070i
$726$	−7.30136	+	7.30136i	−0.270979	+	0.270979i
$727$	−5.38975			−0.199895			−0.0999475	−	0.994993i	$-0.531867\pi$
$727$	−5.38975			−0.199895			−0.0999475	+	0.994993i	$0.531867\pi$
$728$	10.7280	+	12.7867i	0.397604	+	0.473907i
$729$	−1.00000			−0.0370370
$730$	8.87911	−	8.87911i	0.328631	−	0.328631i
$731$	0.457706	−	0.264257i	0.0169289	−	0.00977388i
$732$			10.9963i			0.406433i
$733$	0.0162465	−	0.0606329i	0.000600080	−	0.00223953i	−0.965625	−	0.259939i	$-0.916298\pi$
$733$	0.0162465	−	0.0606329i	0.000600080	−	0.00223953i	0.966225	+	0.257699i	$0.0829643\pi$
$734$	−0.943221	+	3.52015i	−0.0348149	+	0.129931i
$735$	−14.8551	−	3.24895i	−0.547939	−	0.119839i
$736$	−8.70898	−	8.70898i	−0.321017	−	0.321017i
$737$	−32.6519	+	56.5547i	−1.20275	+	2.08322i
$738$	0.631403	+	1.09362i	0.0232423	+	0.0402568i
$739$	−0.277525	+	1.03574i	−0.0102089	+	0.0381002i	−0.970842	−	0.239719i	$-0.922945\pi$
$739$	−0.277525	+	1.03574i	−0.0102089	+	0.0381002i	0.960633	+	0.277819i	$0.0896115\pi$
$740$	−13.1630	−	22.7989i	−0.483880	−	0.838104i
$741$	−11.5652	+	1.76247i	−0.424860	+	0.0647458i
$742$	−7.95655	−	7.59506i	−0.292094	−	0.278823i
$743$	−4.13064	−	15.4158i	−0.151539	−	0.565550i	−0.999377	−	0.0352950i	$-0.988763\pi$
$743$	−4.13064	−	15.4158i	−0.151539	−	0.565550i	0.847838	−	0.530255i	$-0.177904\pi$
$744$	6.35541			0.233001
$745$	45.1608			1.65457
$746$	2.75861	+	10.2953i	0.101000	+	0.376936i
$747$	−6.50458	+	1.74290i	−0.237990	+	0.0637693i
$748$	−1.22530	−	0.328318i	−0.0448013	−	0.0120045i
$749$	15.1525	−	9.22429i	0.553660	−	0.337048i
$750$	2.65056	+	4.59091i	0.0967849	+	0.167636i
$751$			23.9071i			0.872384i	0.899854	+	0.436192i	$0.143673\pi$
$751$			23.9071i			0.872384i	−0.899854	+	0.436192i	$0.856327\pi$
$752$	−6.10421	−	1.63562i	−0.222597	−	0.0596448i
$753$	16.8917	+	9.75242i	0.615567	+	0.355398i
$754$	−5.04203	+	12.9087i	−0.183620	+	0.470108i
$755$		−	13.7971i		−	0.502129i
$756$	−4.03730	+	2.45777i	−0.146835	+	0.0893881i
$757$	13.3174	−	23.0665i	0.484031	−	0.838365i	−0.515801	−	0.856708i	$-0.672506\pi$
$757$	13.3174	−	23.0665i	0.484031	−	0.838365i	0.999832	+	0.0183428i	$0.00583904\pi$
$758$	−0.590873	−	0.341140i	−0.0214615	−	0.0123908i
$759$	−14.3816	+	3.85355i	−0.522021	+	0.139875i
$760$	−8.72044	+	8.72044i	−0.316324	+	0.316324i
$761$	5.19300	+	19.3806i	0.188246	+	0.702544i	0.993912	+	0.110174i	$0.0351410\pi$
$761$	5.19300	+	19.3806i	0.188246	+	0.702544i	−0.805666	+	0.592370i	$0.798192\pi$
$762$	−3.04849	+	3.04849i	−0.110435	+	0.110435i
$763$	26.3001	+	25.1052i	0.952127	+	0.908869i
$764$	4.40258	+	2.54183i	0.159280	+	0.0919602i
$765$	0.188882	+	0.188882i	0.00682905	+	0.00682905i
$766$	4.83620	−	8.37654i	0.174739	−	0.302657i
$767$	−26.8235	+	4.08772i	−0.968540	+	0.147599i
$768$	−1.31571	+	0.759627i	−0.0474767	+	0.0274107i
$769$	−34.7899	+	9.32193i	−1.25456	+	0.336158i	−0.824095	−	0.566451i	$-0.808316\pi$
$769$	−34.7899	+	9.32193i	−1.25456	+	0.336158i	−0.430462	+	0.902609i	$0.641649\pi$
$770$	10.5894	−	11.0934i	0.381616	−	0.399779i
$771$	−20.8524	+	12.0391i	−0.750981	+	0.433579i
$772$	15.8248	+	4.24024i	0.569546	+	0.152609i
$773$	−16.1367	−	16.1367i	−0.580396	−	0.580396i	0.354616	−	0.935012i	$-0.384612\pi$
$773$	−16.1367	−	16.1367i	−0.580396	−	0.580396i	−0.935012	+	0.354616i	$0.884612\pi$
$774$	1.40438	+	1.40438i	0.0504794	+	0.0504794i
$775$	0.985980	+	0.264193i	0.0354175	+	0.00949008i
$776$	13.9427	−	8.04982i	0.500514	−	0.288972i
$777$	−17.2236	+	5.04685i	−0.617895	+	0.181055i
$778$	15.0356	−	4.02878i	0.539052	−	0.144439i
$779$	−7.67908	+	4.43352i	−0.275132	+	0.158847i
$780$	−13.0335	−	5.09076i	−0.466673	−	0.182278i
$781$	−22.2658	+	38.5655i	−0.796734	+	1.37998i
$782$	0.103595	+	0.103595i	0.00370455	+	0.00370455i
$783$	−7.20357	−	4.15898i	−0.257434	−	0.148630i
$784$	−8.88640	+	17.1899i	−0.317371	+	0.613927i
$785$	26.5391	−	26.5391i	0.947222	−	0.947222i
$786$	−0.761209	−	2.84087i	−0.0271514	−	0.101330i
$787$	20.4085	−	20.4085i	0.727484	−	0.727484i	−0.242634	−	0.970118i	$-0.578011\pi$
$787$	20.4085	−	20.4085i	0.727484	−	0.727484i	0.970118	+	0.242634i	$0.0780113\pi$
$788$	33.8736	−	9.07640i	1.20670	−	0.323333i
$789$	2.79222	+	1.61209i	0.0994058	+	0.0573920i
$790$	6.36483	−	11.0242i	0.226451	−	0.392224i
$791$	−24.2210	−	13.2433i	−0.861201	−	0.470877i
$792$		−	10.1037i		−	0.359019i
$793$	8.90803	+	20.3270i	0.316333	+	0.721831i
$794$	−3.74830	−	2.16408i	−0.133022	−	0.0768003i
$795$	18.8786	+	5.05851i	0.669555	+	0.179407i
$796$			23.2297i			0.823354i
$797$	−20.3630	−	35.2697i	−0.721294	−	1.24932i	−0.960481	−	0.278344i	$-0.910214\pi$
$797$	−20.3630	−	35.2697i	−0.721294	−	1.24932i	0.239188	−	0.970973i	$-0.423119\pi$
$798$	2.06271	+	3.38836i	0.0730192	+	0.119947i
$799$	0.271522	+	0.0727542i	0.00960577	+	0.00257386i
$800$	1.29665	−	0.347436i	0.0458435	−	0.0122837i
$801$	−0.259010	−	0.966637i	−0.00915166	−	0.0341544i
$802$	−10.4344			−0.368450
$803$	−72.2360			−2.54915
$804$	−5.22891	−	19.5146i	−0.184409	−	0.688225i
$805$	14.2210	−	4.16703i	0.501226	−	0.146869i
$806$	5.54284	−	2.42908i	0.195238	−	0.0855607i
$807$	−6.51391	−	11.2824i	−0.229300	−	0.397160i
$808$	−2.68942	+	10.0371i	−0.0946136	+	0.353103i
$809$	14.1161	+	24.4499i	0.496297	+	0.859612i	0.999991	−	0.00427031i	$-0.00135929\pi$
$809$	14.1161	+	24.4499i	0.496297	+	0.859612i	−0.503694	+	0.863882i	$0.668026\pi$
$810$	−0.501904	+	0.869322i	−0.0176351	+	0.0305449i
$811$	11.7462	+	11.7462i	0.412464	+	0.412464i	0.882596	−	0.470132i	$-0.155794\pi$
$811$	11.7462	+	11.7462i	0.412464	+	0.412464i	−0.470132	+	0.882596i	$0.655794\pi$
$812$	−39.3048	+	0.913620i	−1.37933	+	0.0320618i
$813$	−4.53953	+	16.9418i	−0.159208	+	0.594173i
$814$	4.68495	−	17.4845i	0.164207	−	0.612830i
$815$			15.8232i			0.554263i
$816$	0.294387	−	0.169964i	0.0103056	−	0.00594995i
$817$	−9.86114	+	9.86114i	−0.344998	+	0.344998i
$818$	−14.2957			−0.499836
$819$	−5.47206	+	7.81387i	−0.191209	+	0.273039i
$820$	−10.6055			−0.370360
$821$	−15.9395	+	15.9395i	−0.556293	+	0.556293i	−0.928250	−	0.371957i	$-0.878687\pi$
$821$	−15.9395	+	15.9395i	−0.556293	+	0.556293i	0.371957	+	0.928250i	$0.378687\pi$
$822$	5.57489	−	3.21866i	0.194447	−	0.112264i
$823$		−	28.4697i		−	0.992390i	−0.868211	−	0.496195i	$-0.834730\pi$
$823$		−	28.4697i		−	0.992390i	0.868211	−	0.496195i	$-0.165270\pi$
$824$	−1.57961	+	5.89519i	−0.0550284	+	0.205369i
$825$	0.420008	−	1.56749i	0.0146228	−	0.0545731i
$826$	4.78409	+	7.85868i	0.166460	+	0.273438i
$827$	−14.1293	−	14.1293i	−0.491325	−	0.491325i	0.417398	−	0.908724i	$-0.362942\pi$
$827$	−14.1293	−	14.1293i	−0.491325	−	0.491325i	−0.908724	+	0.417398i	$0.862942\pi$
$828$	2.30309	−	3.98908i	0.0800381	−	0.138630i
$829$	2.67569	+	4.63444i	0.0929307	+	0.160961i	0.908743	−	0.417356i	$-0.137043\pi$
$829$	2.67569	+	4.63444i	0.0929307	+	0.160961i	−0.815812	+	0.578317i	$0.803710\pi$
$830$	−1.74953	+	6.52935i	−0.0607272	+	0.226637i
$831$	11.1136	+	19.2494i	0.385527	+	0.667753i
$832$	−7.09590	+	9.64748i	−0.246006	+	0.334466i
$833$	0.395277	−	0.764629i	0.0136956	−	0.0264928i
$834$	−2.34494	−	8.75145i	−0.0811988	−	0.303038i
$835$	−33.1953			−1.14877
$836$	33.4722			1.15766
$837$	0.940109	+	3.50854i	0.0324949	+	0.121273i
$838$	−9.26484	+	2.48251i	−0.320049	+	0.0857568i
$839$	−38.6612	−	10.3592i	−1.33473	−	0.357641i	−0.480256	−	0.877128i	$-0.659456\pi$
$839$	−38.6612	−	10.3592i	−1.33473	−	0.357641i	−0.854478	+	0.519487i	$0.826123\pi$
$840$	0.233688	+	10.0535i	0.00806302	+	0.346878i
$841$	−20.0942	−	34.8042i	−0.692905	−	1.20015i
$842$			4.96878i			0.171236i
$843$	14.7794	+	3.96014i	0.509031	+	0.136394i
$844$	−19.4130	−	11.2081i	−0.668223	−	0.385799i
$845$	−28.2168	+	1.14794i	−0.970688	+	0.0394902i
$846$			1.05634i			0.0363179i
$847$	−59.1050	+	1.37387i	−2.03087	+	0.0472066i
$848$	12.4359	−	21.5397i	0.427051	−	0.739675i
$849$	19.2391	+	11.1077i	0.660283	+	0.381214i
$850$	−0.0154239	+	0.00413282i	−0.000529036	+	0.000141755i
$851$	12.3678	−	12.3678i	0.423964	−	0.423964i
$852$	−3.56568	−	13.3073i	−0.122158	−	0.455900i
$853$	−4.72979	+	4.72979i	−0.161945	+	0.161945i	−0.783428	−	0.621483i	$-0.786531\pi$
$853$	−4.72979	+	4.72979i	−0.161945	+	0.161945i	0.621483	+	0.783428i	$0.286531\pi$
$854$	5.19610	−	5.44341i	0.177807	−	0.186269i
$855$	−6.10412	−	3.52421i	−0.208756	−	0.120526i
$856$	−8.29536	−	8.29536i	−0.283530	−	0.283530i
$857$	19.0542	−	33.0029i	0.650880	−	1.12736i	−0.332030	−	0.943269i	$-0.607734\pi$
$857$	19.0542	−	33.0029i	0.650880	−	1.12736i	0.982910	−	0.184088i	$-0.0589331\pi$
$858$	−3.86171	−	8.81190i	−0.131836	−	0.300833i
$859$	−28.4339	+	16.4163i	−0.970153	+	0.560118i	−0.899283	−	0.437367i	$-0.855911\pi$
$859$	−28.4339	+	16.4163i	−0.970153	+	0.560118i	−0.0708704	+	0.997486i	$0.522578\pi$
$860$	−16.1116	+	4.31708i	−0.549400	+	0.147211i
$861$	−1.70855	+	7.02558i	−0.0582273	+	0.239431i
$862$	4.87662	−	2.81552i	0.166098	−	0.0958969i
$863$	9.99560	+	2.67831i	0.340254	+	0.0911708i	0.424900	−	0.905240i	$-0.360309\pi$
$863$	9.99560	+	2.67831i	0.340254	+	0.0911708i	−0.0846459	+	0.996411i	$0.526976\pi$
$864$	3.37771	+	3.37771i	0.114912	+	0.114912i
$865$	20.6539	+	20.6539i	0.702252	+	0.702252i
$866$	−15.5723	−	4.17258i	−0.529167	−	0.141790i
$867$	14.7093	−	8.49244i	0.499555	−	0.288418i
$868$	12.4187	+	11.8544i	0.421517	+	0.402366i
$869$	−70.7343	+	18.9532i	−2.39950	+	0.642943i
$870$	−7.23099	+	4.17481i	−0.245154	+	0.141539i
$871$	−25.4745	−	31.8374i	−0.863171	−	1.07877i
$872$	12.0224	−	20.8235i	0.407131	−	0.705171i
$873$	6.50639	+	6.50639i	0.220208	+	0.220208i
$874$	−3.34789	−	1.93290i	−0.113244	−	0.0653814i
$875$	−7.17232	+	29.4927i	−0.242469	+	0.997034i
$876$	15.8021	−	15.8021i	0.533904	−	0.533904i
$877$	4.23697	+	15.8126i	0.143072	+	0.533953i	0.999834	+	0.0182401i	$0.00580633\pi$
$877$	4.23697	+	15.8126i	0.143072	+	0.533953i	−0.856761	+	0.515713i	$0.827527\pi$
$878$	7.40162	−	7.40162i	0.249793	−	0.249793i
$879$	−10.4135	+	2.79029i	−0.351239	+	0.0941141i
$880$	30.0317	+	17.3388i	1.01237	+	0.584491i
$881$	−6.24202	+	10.8115i	−0.210299	+	0.364249i	−0.951808	−	0.306694i	$-0.900777\pi$
$881$	−6.24202	+	10.8115i	−0.210299	+	0.364249i	0.741509	+	0.670943i	$0.234110\pi$
$882$	3.15994	+	0.691107i	0.106401	+	0.0232708i
$883$			17.3893i			0.585195i	0.956236	+	0.292598i	$0.0945196\pi$
$883$			17.3893i			0.585195i	−0.956236	+	0.292598i	$0.905480\pi$
$884$	0.469293	−	0.638044i	0.0157840	−	0.0214598i
$885$	−14.1574	−	8.17378i	−0.475896	−	0.274758i
$886$	0.793064	+	0.212501i	0.0266435	+	0.00713910i
$887$		−	36.3047i		−	1.21899i	−0.792789	−	0.609496i	$-0.791372\pi$
$887$		−	36.3047i		−	1.21899i	0.792789	−	0.609496i	$-0.208628\pi$
$888$	5.93464	+	10.2791i	0.199153	+	0.344944i
$889$	−24.6777	+	0.573622i	−0.827665	+	0.0192387i
$890$	−0.970317	−	0.259996i	−0.0325251	−	0.00871508i
$891$	5.57780	−	1.49457i	0.186863	−	0.0500699i
$892$	4.03370	+	15.0540i	0.135058	+	0.504044i
$893$	−7.41733			−0.248212
$894$	−9.60648			−0.321289
$895$	−5.71315	−	21.3218i	−0.190970	−	0.712708i
$896$	28.5064	+	6.93248i	0.952333	+	0.231598i
$897$	1.02581	−	9.23968i	0.0342508	−	0.308504i
$898$	−1.18723	−	2.05635i	−0.0396184	−	0.0686212i
$899$	−7.81979	+	29.1839i	−0.260805	+	0.973337i
$900$	0.251020	+	0.434780i	0.00836734	+	0.0144927i
$901$	−0.553164	+	0.958109i	−0.0184286	+	0.0319192i
$902$	−5.15633	−	5.15633i	−0.171687	−	0.171687i
$903$	0.264257	+	11.3686i	0.00879391	+	0.378322i
$904$	−4.72496	+	17.6338i	−0.157150	+	0.586491i
$905$	7.46497	−	27.8597i	0.248144	−	0.926086i
$906$			2.93488i			0.0975050i
$907$	15.0093	−	8.66565i	0.498377	−	0.287738i	−0.229666	−	0.973270i	$-0.573763\pi$
$907$	15.0093	−	8.66565i	0.498377	−	0.287738i	0.728043	+	0.685531i	$0.240430\pi$
$908$	10.8116	−	10.8116i	0.358795	−	0.358795i
$909$	−5.93884			−0.196979
$910$	4.04632	+	8.67879i	0.134134	+	0.287699i
$911$	14.5409			0.481761			0.240880	−	0.970555i	$-0.422564\pi$
$911$	14.5409			0.481761			0.240880	+	0.970555i	$0.422564\pi$
$912$	−6.34248	+	6.34248i	−0.210021	+	0.210021i
$913$	33.6764	−	19.4431i	1.11453	−	0.643472i
$914$			4.41757i			0.146120i
$915$	−3.46073	+	12.9156i	−0.114408	+	0.426978i
$916$	0.106751	−	0.398400i	0.00352715	−	0.0131635i
$917$	8.07860	−	14.7752i	0.266779	−	0.487920i
$918$	−0.0401785	−	0.0401785i	−0.00132609	−	0.00132609i
$919$	3.08140	−	5.33715i	0.101646	−	0.176056i	−0.810717	−	0.585438i	$-0.800922\pi$
$919$	3.08140	−	5.33715i	0.101646	−	0.176056i	0.912363	+	0.409382i	$0.134256\pi$
$920$	−4.90005	−	8.48713i	−0.161550	−	0.279813i
$921$	−7.60562	+	28.3846i	−0.250614	+	0.935303i
$922$	3.80182	+	6.58494i	0.125206	+	0.216863i
$923$	−17.3715	−	21.7104i	−0.571789	−	0.714608i
$924$	18.8460	−	19.7429i	0.619987	−	0.649495i
$925$	0.493403	+	1.84140i	0.0162230	+	0.0605450i
$926$	11.9441			0.392508
$927$	−3.48813			−0.114565
$928$	10.2837	+	38.3793i	0.337579	+	1.25986i
$929$	41.5258	−	11.1268i	1.36242	−	0.365059i	0.497715	−	0.867341i	$-0.334173\pi$
$929$	41.5258	−	11.1268i	1.36242	−	0.365059i	0.864704	+	0.502282i	$0.167506\pi$
$930$	3.52189	+	0.943688i	0.115487	+	0.0309448i
$931$	−4.85274	+	22.1881i	−0.159042	+	0.727186i
$932$	10.9338	+	18.9379i	0.358149	+	0.620331i
$933$		−	27.0289i		−	0.884888i
$934$	0.791606	+	0.212110i	0.0259021	+	0.00694046i
$935$	−1.33585	−	0.771251i	−0.0436868	−	0.0252226i
$936$	5.87626	+	2.29521i	0.192071	+	0.0750214i
$937$		−	24.1388i		−	0.788581i	−0.918986	−	0.394290i	$-0.870990\pi$
$937$		−	24.1388i		−	0.788581i	0.918986	−	0.394290i	$-0.129010\pi$
$938$	−6.63284	+	12.1310i	−0.216570	+	0.396091i
$939$	3.76722	−	6.52501i	0.122938	−	0.212936i
$940$	−7.68299	−	4.43578i	−0.250592	−	0.144679i
$941$	23.3452	−	6.25533i	0.761032	−	0.203918i	0.142626	−	0.989777i	$-0.454445\pi$
$941$	23.3452	−	6.25533i	0.761032	−	0.203918i	0.618406	+	0.785859i	$0.287779\pi$
$942$	−5.64533	+	5.64533i	−0.183935	+	0.183935i
$943$	−1.82369	−	6.80612i	−0.0593876	−	0.221638i
$944$	−14.7102	+	14.7102i	−0.478777	+	0.478777i
$945$	−5.51551	+	1.61615i	−0.179420	+	0.0525733i
$946$	−9.93230	−	5.73442i	−0.322927	−	0.186442i
$947$	38.4590	+	38.4590i	1.24975	+	1.24975i	0.955830	+	0.293918i	$0.0949594\pi$
$947$	38.4590	+	38.4590i	1.24975	+	1.24975i	0.293918	+	0.955830i	$0.405041\pi$
$948$	11.3275	−	19.6198i	0.367899	−	0.637221i
$949$	16.4095	−	42.0120i	0.532676	−	1.36377i
$950$	0.364895	−	0.210672i	0.0118387	−	0.00683510i
$951$	−19.0373	+	5.10103i	−0.617327	+	0.165412i
$952$	−0.553115	−	0.134512i	−0.0179266	−	0.00435956i
$953$	24.5538	−	14.1761i	0.795375	−	0.459210i	−0.0464761	−	0.998919i	$-0.514799\pi$
$953$	24.5538	−	14.1761i	0.795375	−	0.459210i	0.841852	+	0.539709i	$0.181466\pi$
$954$	−4.01580	−	1.07603i	−0.130016	−	0.0348378i
$955$	4.37108	+	4.37108i	0.141445	+	0.141445i
$956$	36.0179	+	36.0179i	1.16490	+	1.16490i
$957$	46.3959	+	12.4318i	1.49977	+	0.401862i
$958$	10.9945	−	6.34765i	0.355215	−	0.205083i
$959$	35.8139	+	8.70958i	1.15649	+	0.281247i
$960$	−6.96962	+	1.86750i	−0.224944	+	0.0602735i
$961$	−15.4208	+	8.90318i	−0.497444	+	0.287199i
$962$	9.10461	+	6.69661i	0.293544	+	0.215907i
$963$	3.35243	−	5.80657i	0.108030	−	0.187114i
$964$	−38.5170	−	38.5170i	−1.24055	−	1.24055i
$965$	17.2525	+	9.96074i	0.555378	+	0.320647i
$966$	−3.02506	+	0.886399i	−0.0973297	+	0.0285194i
$967$	−20.2795	+	20.2795i	−0.652145	+	0.652145i	−0.953509	−	0.301364i	$-0.902558\pi$
$967$	−20.2795	+	20.2795i	−0.652145	+	0.652145i	0.301364	+	0.953509i	$0.402558\pi$
$968$	10.1193	+	37.7657i	0.325246	+	1.21383i
$969$	0.282121	−	0.282121i	0.00906304	−	0.00906304i
$970$	8.92173	−	2.39057i	0.286460	−	0.0767566i
$971$	37.1290	+	21.4364i	1.19153	+	0.687928i	0.958652	−	0.284580i	$-0.0918540\pi$
$971$	37.1290	+	21.4364i	1.19153	+	0.687928i	0.232873	+	0.972507i	$0.425187\pi$
$972$	−0.893237	+	1.54713i	−0.0286506	+	0.0496243i
$973$	24.8866	−	45.5158i	0.797827	−	1.45917i
$974$			5.38808i			0.172645i
$975$	0.816233	+	0.600355i	0.0261404	+	0.0192267i
$976$	14.7362	+	8.50793i	0.471693	+	0.272332i
$977$	10.5293	+	2.82132i	0.336862	+	0.0902619i	0.423285	−	0.905997i	$-0.360877\pi$
$977$	10.5293	+	2.82132i	0.336862	+	0.0902619i	−0.0864228	+	0.996259i	$0.527544\pi$
$978$		−	3.36587i		−	0.107629i
$979$	2.88941	+	5.00460i	0.0923459	+	0.159948i
$980$	−18.2957	+	20.0807i	−0.584434	+	0.641455i
$981$	13.2741	+	3.55678i	0.423809	+	0.113559i
$982$	−11.6160	+	3.11251i	−0.370683	+	0.0993241i
$983$	3.45074	+	12.8783i	0.110061	+	0.410755i	0.998870	−	0.0475235i	$-0.0151329\pi$
$983$	3.45074	+	12.8783i	0.110061	+	0.410755i	−0.888809	+	0.458279i	$0.848466\pi$
$984$	4.78158			0.152431
$985$	42.6427			1.35871
$986$	−0.122327	−	0.456530i	−0.00389568	−	0.0145389i
$987$	−4.17621	+	4.37497i	−0.132930	+	0.139257i
$988$	−7.60373	+	19.4672i	−0.241907	+	0.619336i
$989$	−5.54101	−	9.59731i	−0.176194	−	0.305177i
$990$	1.50026	−	5.59904i	0.0476813	−	0.177949i
$991$	26.2338	+	45.4382i	0.833344	+	1.44339i	0.895372	+	0.445319i	$0.146910\pi$
$991$	26.2338	+	45.4382i	0.833344	+	1.44339i	−0.0620285	+	0.998074i	$0.519757\pi$
$992$	8.67539	−	15.0262i	0.275444	−	0.477083i
$993$	−2.77446	−	2.77446i	−0.0880447	−	0.0880447i
$994$	−4.52304	+	8.27233i	−0.143462	+	0.262382i
$995$	−7.31083	+	27.2844i	−0.231769	+	0.864973i
$996$	−3.11364	+	11.6203i	−0.0986595	+	0.368202i
$997$			13.6925i			0.433646i	0.976211	+	0.216823i	$0.0695695\pi$
$997$			13.6925i			0.433646i	−0.976211	+	0.216823i	$0.930431\pi$
$998$	−3.05931	+	1.76629i	−0.0968406	+	0.0559110i
$999$	−4.79676	+	4.79676i	−0.151763	+	0.151763i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bt.b.136.5	✓	40
3.2	odd	2		819.2.et.d.136.6		40
7.5	odd	6		273.2.cg.b.19.6	yes	40
13.11	odd	12		273.2.cg.b.115.6	yes	40
21.5	even	6		819.2.gh.d.19.5		40
39.11	even	12		819.2.gh.d.388.5		40
91.89	even	12	inner	273.2.bt.b.271.5	yes	40
273.89	odd	12		819.2.et.d.271.6		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.b.136.5	✓	40	1.1	even	1	trivial
273.2.bt.b.271.5	yes	40	91.89	even	12	inner
273.2.cg.b.19.6	yes	40	7.5	odd	6
273.2.cg.b.115.6	yes	40	13.11	odd	12
819.2.et.d.136.6		40	3.2	odd	2
819.2.et.d.271.6		40	273.89	odd	12
819.2.gh.d.19.5		40	21.5	even	6
819.2.gh.d.388.5		40	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.bt (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.326747 + 0.326747i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.78647i q^{4} +(-0.562238 + 2.09830i) q^{5} +(0.119598 - 0.446344i) q^{6} +(2.25993 - 1.37576i) q^{7} +(-1.23722 - 1.23722i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.326747 + 0.326747i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.78647i q^{4} +(-0.562238 + 2.09830i) q^{5} +(0.119598 - 0.446344i) q^{6} +(2.25993 - 1.37576i) q^{7} +(-1.23722 - 1.23722i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.501904 - 0.869322i) q^{10} +(-1.49457 + 5.57780i) q^{11} +(-0.893237 - 1.54713i) q^{12} +(-2.90451 - 2.13632i) q^{13} +(-0.288898 + 1.18795i) q^{14} +(-0.562238 - 2.09830i) q^{15} -2.76443 q^{16} +0.122965 q^{17} +(0.119598 + 0.446344i) q^{18} +(-3.13410 + 0.839778i) q^{19} +(-3.74856 - 1.00442i) q^{20} +(-1.26927 + 2.32141i) q^{21} +(-1.33418 - 2.31087i) q^{22} -2.57837i q^{23} +(1.69007 + 0.452853i) q^{24} +(0.243373 + 0.140512i) q^{25} +(1.64707 - 0.251003i) q^{26} +1.00000i q^{27} +(2.45777 + 4.03730i) q^{28} +(-4.15898 + 7.20357i) q^{29} +(0.869322 + 0.501904i) q^{30} +(3.50854 - 0.940109i) q^{31} +(3.37771 - 3.37771i) q^{32} +(-1.49457 - 5.57780i) q^{33} +(-0.0401785 + 0.0401785i) q^{34} +(1.61615 + 5.51551i) q^{35} +(1.54713 + 0.893237i) q^{36} +(4.79676 + 4.79676i) q^{37} +(0.749661 - 1.29845i) q^{38} +(3.58353 + 0.397852i) q^{39} +(3.29167 - 1.90044i) q^{40} +(2.63970 - 0.707305i) q^{41} +(-0.343783 - 1.17324i) q^{42} +(3.72224 - 2.14904i) q^{43} +(-9.96459 - 2.67001i) q^{44} +(1.53606 + 1.53606i) q^{45} +(0.842474 + 0.842474i) q^{46} +(2.20812 + 0.591665i) q^{47} +(2.39407 - 1.38222i) q^{48} +(3.21455 - 6.21825i) q^{49} +(-0.125433 + 0.0336097i) q^{50} +(-0.106491 + 0.0614826i) q^{51} +(3.81647 - 5.18882i) q^{52} +(-4.49855 + 7.79171i) q^{53} +(-0.326747 - 0.326747i) q^{54} +(-10.8636 - 6.27210i) q^{55} +(-4.49814 - 1.09390i) q^{56} +(2.29432 - 2.29432i) q^{57} +(-0.994808 - 3.71268i) q^{58} +(5.32125 - 5.32125i) q^{59} +(3.74856 - 1.00442i) q^{60} +(-5.33063 - 3.07764i) q^{61} +(-0.839225 + 1.45358i) q^{62} +(-0.0614826 - 2.64504i) q^{63} -3.32156i q^{64} +(6.11566 - 4.89341i) q^{65} +(2.31087 + 1.33418i) q^{66} +(10.9235 + 2.92695i) q^{67} +0.219674i q^{68} +(1.28919 + 2.23293i) q^{69} +(-2.33025 - 1.27411i) q^{70} +(7.44892 + 1.99593i) q^{71} +(-1.69007 + 0.452853i) q^{72} +(3.23765 + 12.0831i) q^{73} -3.13465 q^{74} -0.281023 q^{75} +(-1.50024 - 5.59898i) q^{76} +(4.29612 + 14.6616i) q^{77} +(-1.30091 + 1.04091i) q^{78} +(6.34069 + 10.9824i) q^{79} +(1.55427 - 5.80061i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-0.631403 + 1.09362i) q^{82} +(-4.76169 - 4.76169i) q^{83} +(-4.14714 - 2.26752i) q^{84} +(-0.0691357 + 0.258018i) q^{85} +(-0.514039 + 1.91842i) q^{86} -8.31796i q^{87} +(8.75006 - 5.05185i) q^{88} +(0.707627 - 0.707627i) q^{89} -1.00381 q^{90} +(-9.50304 - 0.832009i) q^{91} +4.60619 q^{92} +(-2.56843 + 2.56843i) q^{93} +(-0.914821 + 0.528172i) q^{94} -7.04843i q^{95} +(-1.23633 + 4.61403i) q^{96} +(-2.38150 + 8.88790i) q^{97} +(0.981452 + 3.08214i) q^{98} +(4.08324 + 4.08324i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 2 q^{7} + 20 q^{9}+O(q^{10}) \) 40 * q - 2 * q^7 + 20 * q^9	\( 40 q - 2 q^{7} + 20 q^{9} - 8 q^{11} + 24 q^{12} - 18 q^{14} - 64 q^{16} + 8 q^{17} - 14 q^{19} - 14 q^{20} - 8 q^{21} + 4 q^{22} + 18 q^{24} - 24 q^{25} - 10 q^{26} - 2 q^{28} + 8 q^{29} - 8 q^{31} + 10 q^{32} - 8 q^{33} + 24 q^{34} - 22 q^{35} + 12 q^{37} + 8 q^{38} - 24 q^{39} - 30 q^{40} + 2 q^{41} + 6 q^{42} - 66 q^{43} + 28 q^{44} + 40 q^{46} + 10 q^{47} - 24 q^{48} + 38 q^{49} - 20 q^{50} + 40 q^{52} - 8 q^{53} + 42 q^{55} + 20 q^{56} - 14 q^{57} - 48 q^{58} - 26 q^{59} + 14 q^{60} - 12 q^{61} - 24 q^{62} - 4 q^{63} - 44 q^{65} - 18 q^{66} + 46 q^{67} - 4 q^{69} + 32 q^{70} - 6 q^{71} - 18 q^{72} + 10 q^{73} + 40 q^{74} + 48 q^{75} + 64 q^{76} - 24 q^{77} + 8 q^{78} + 34 q^{80} - 20 q^{81} + 24 q^{82} + 12 q^{83} + 20 q^{84} + 2 q^{85} + 12 q^{86} - 84 q^{88} - 16 q^{89} + 26 q^{91} + 236 q^{92} + 22 q^{93} + 30 q^{94} + 26 q^{96} + 62 q^{97} - 14 q^{98} - 4 q^{99}+O(q^{100}) \) 40 * q - 2 * q^7 + 20 * q^9 - 8 * q^11 + 24 * q^12 - 18 * q^14 - 64 * q^16 + 8 * q^17 - 14 * q^19 - 14 * q^20 - 8 * q^21 + 4 * q^22 + 18 * q^24 - 24 * q^25 - 10 * q^26 - 2 * q^28 + 8 * q^29 - 8 * q^31 + 10 * q^32 - 8 * q^33 + 24 * q^34 - 22 * q^35 + 12 * q^37 + 8 * q^38 - 24 * q^39 - 30 * q^40 + 2 * q^41 + 6 * q^42 - 66 * q^43 + 28 * q^44 + 40 * q^46 + 10 * q^47 - 24 * q^48 + 38 * q^49 - 20 * q^50 + 40 * q^52 - 8 * q^53 + 42 * q^55 + 20 * q^56 - 14 * q^57 - 48 * q^58 - 26 * q^59 + 14 * q^60 - 12 * q^61 - 24 * q^62 - 4 * q^63 - 44 * q^65 - 18 * q^66 + 46 * q^67 - 4 * q^69 + 32 * q^70 - 6 * q^71 - 18 * q^72 + 10 * q^73 + 40 * q^74 + 48 * q^75 + 64 * q^76 - 24 * q^77 + 8 * q^78 + 34 * q^80 - 20 * q^81 + 24 * q^82 + 12 * q^83 + 20 * q^84 + 2 * q^85 + 12 * q^86 - 84 * q^88 - 16 * q^89 + 26 * q^91 + 236 * q^92 + 22 * q^93 + 30 * q^94 + 26 * q^96 + 62 * q^97 - 14 * q^98 - 4 * q^99

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