LMFDB - Embedded newform 153.2.n.a.106.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [153,2,Mod(4,153)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(153, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9]))

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

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

chi := DirichletCharacter("153.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 153 = 3^{2} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	153.n (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:	$1.22171115093$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			106.1
Character	$\chi$	$=$	153.106
Dual form			153.2.n.a.13.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.29727 - 1.32633i) q^{2} +(-1.28077 + 1.16603i) q^{3} +(2.51830 + 4.36183i) q^{4} +(-0.824944 - 0.221043i) q^{5} +(4.48882 - 0.979965i) q^{6} +(-0.163059 + 0.0436914i) q^{7} -8.05510i q^{8} +(0.280745 - 2.98683i) q^{9} +O(q^{10})$	\(q+(-2.29727 - 1.32633i) q^{2} +(-1.28077 + 1.16603i) q^{3} +(2.51830 + 4.36183i) q^{4} +(-0.824944 - 0.221043i) q^{5} +(4.48882 - 0.979965i) q^{6} +(-0.163059 + 0.0436914i) q^{7} -8.05510i q^{8} +(0.280745 - 2.98683i) q^{9} +(1.60194 + 1.60194i) q^{10} +(0.658341 - 0.176402i) q^{11} +(-8.31140 - 2.65008i) q^{12} +(-3.01146 - 5.21600i) q^{13} +(0.432539 + 0.115899i) q^{14} +(1.31431 - 0.678805i) q^{15} +(-5.64711 + 9.78108i) q^{16} +(-2.62607 + 3.17864i) q^{17} +(-4.60648 + 6.48921i) q^{18} -3.37133i q^{19} +(-1.11331 - 4.15492i) q^{20} +(0.157895 - 0.246090i) q^{21} +(-1.74635 - 0.467934i) q^{22} +(2.04434 - 7.62959i) q^{23} +(9.39249 + 10.3167i) q^{24} +(-3.69845 - 2.13530i) q^{25} +15.9768i q^{26} +(3.12317 + 4.15281i) q^{27} +(-0.601206 - 0.601206i) q^{28} +(-1.51372 - 5.64927i) q^{29} +(-3.91964 - 0.183807i) q^{30} +(5.84903 + 1.56724i) q^{31} +(11.9941 - 6.92477i) q^{32} +(-0.637493 + 0.993576i) q^{33} +(10.2487 - 3.81916i) q^{34} +0.144172 q^{35} +(13.7351 - 6.29720i) q^{36} +(4.19236 - 4.19236i) q^{37} +(-4.47150 + 7.74486i) q^{38} +(9.93901 + 3.16905i) q^{39} +(-1.78052 + 6.64500i) q^{40} +(-0.145394 + 0.542620i) q^{41} +(-0.689125 + 0.355915i) q^{42} +(-3.69083 - 2.13090i) q^{43} +(2.42734 + 2.42734i) q^{44} +(-0.891818 + 2.40191i) q^{45} +(-14.8158 + 14.8158i) q^{46} +(-2.93589 + 5.08511i) q^{47} +(-4.17239 - 19.1120i) q^{48} +(-6.03750 + 3.48575i) q^{49} +(5.66424 + 9.81075i) q^{50} +(-0.342993 - 7.13319i) q^{51} +(15.1676 - 26.2710i) q^{52} +6.21070i q^{53} +(-1.66678 - 13.6825i) q^{54} -0.582087 q^{55} +(0.351939 + 1.31345i) q^{56} +(3.93107 + 4.31790i) q^{57} +(-4.01538 + 14.9856i) q^{58} +(4.84715 - 2.79850i) q^{59} +(6.27066 + 4.02335i) q^{60} +(-10.3109 + 2.76278i) q^{61} +(-11.3581 - 11.3581i) q^{62} +(0.0847212 + 0.499295i) q^{63} -14.1497 q^{64} +(1.33133 + 4.96857i) q^{65} +(2.78230 - 1.43699i) q^{66} +(-0.947715 - 1.64149i) q^{67} +(-20.4779 - 3.44971i) q^{68} +(6.27800 + 12.1555i) q^{69} +(-0.331202 - 0.191220i) q^{70} +(-5.69308 + 5.69308i) q^{71} +(-24.0592 - 2.26143i) q^{72} +(0.863886 - 0.863886i) q^{73} +(-15.1914 + 4.07054i) q^{74} +(7.22670 - 1.57768i) q^{75} +(14.7052 - 8.49003i) q^{76} +(-0.0996409 + 0.0575277i) q^{77} +(-18.6294 - 20.4626i) q^{78} +(8.38788 - 2.24752i) q^{79} +(6.82059 - 6.82059i) q^{80} +(-8.84236 - 1.67708i) q^{81} +(1.05370 - 1.05370i) q^{82} +(-5.62983 - 3.25039i) q^{83} +(1.47103 + 0.0689822i) q^{84} +(2.86898 - 2.04172i) q^{85} +(5.65255 + 9.79051i) q^{86} +(8.52594 + 5.47037i) q^{87} +(-1.42093 - 5.30300i) q^{88} +1.40061 q^{89} +(5.23448 - 4.33501i) q^{90} +(0.718939 + 0.718939i) q^{91} +(38.4273 - 10.2966i) q^{92} +(-9.31872 + 4.81287i) q^{93} +(13.4891 - 7.78792i) q^{94} +(-0.745209 + 2.78116i) q^{95} +(-7.28713 + 22.8545i) q^{96} +(1.56289 + 5.83279i) q^{97} +18.4930 q^{98} +(-0.342057 - 2.01588i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/153\mathbb{Z}\right)^\times$.

$n$	$37$	$137$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−2.29727	−	1.32633i	−1.62442	−	0.937857i	−0.985719	−	0.168399i	$-0.946140\pi$
$2$	−2.29727	−	1.32633i	−1.62442	−	0.937857i	−0.638698	−	0.769458i	$-0.720526\pi$
$3$	−1.28077	+	1.16603i	−0.739453	+	0.673208i
$3$	−1.28077	+	1.16603i	−0.739453	+	0.673208i
$4$	2.51830	+	4.36183i	1.25915	+	2.18092i
$5$	−0.824944	−	0.221043i	−0.368926	−	0.0988535i	0.0695926	−	0.997575i	$-0.477830\pi$
$5$	−0.824944	−	0.221043i	−0.368926	−	0.0988535i	−0.438519	+	0.898722i	$0.644497\pi$
$6$	4.48882	−	0.979965i	1.83255	−	0.400069i
$7$	−0.163059	+	0.0436914i	−0.0616304	+	0.0165138i	−0.289502	−	0.957177i	$-0.593490\pi$
$7$	−0.163059	+	0.0436914i	−0.0616304	+	0.0165138i	0.227872	+	0.973691i	$0.426823\pi$
$8$		−	8.05510i		−	2.84791i
$9$	0.280745	−	2.98683i	0.0935817	−	0.995612i
$10$	1.60194	+	1.60194i	0.506579	+	0.506579i
$11$	0.658341	−	0.176402i	0.198497	−	0.0531872i	−0.158201	−	0.987407i	$-0.550569\pi$
$11$	0.658341	−	0.176402i	0.198497	−	0.0531872i	0.356698	+	0.934220i	$0.383903\pi$
$12$	−8.31140	−	2.65008i	−2.39929	−	0.765013i
$13$	−3.01146	−	5.21600i	−0.835229	−	1.44666i	−0.893844	−	0.448378i	$-0.852002\pi$
$13$	−3.01146	−	5.21600i	−0.835229	−	1.44666i	0.0586148	−	0.998281i	$-0.481332\pi$
$14$	0.432539	+	0.115899i	0.115601	+	0.0309752i
$15$	1.31431	−	0.678805i	0.339353	−	0.175267i
$16$	−5.64711	+	9.78108i	−1.41178	+	2.44527i
$17$	−2.62607	+	3.17864i	−0.636916	+	0.770933i
$17$	−2.62607	+	3.17864i	−0.636916	+	0.770933i
$18$	−4.60648	+	6.48921i	−1.08576	+	1.52952i
$19$		−	3.37133i		−	0.773436i	−0.922198	−	0.386718i	$-0.873609\pi$
$19$		−	3.37133i		−	0.773436i	0.922198	−	0.386718i	$-0.126391\pi$
$20$	−1.11331	−	4.15492i	−0.248943	−	0.929069i
$21$	0.157895	−	0.246090i	0.0344555	−	0.0537013i
$22$	−1.74635	−	0.467934i	−0.372324	−	0.0997639i
$23$	2.04434	−	7.62959i	0.426275	−	1.59088i	−0.334848	−	0.942272i	$-0.608685\pi$
$23$	2.04434	−	7.62959i	0.426275	−	1.59088i	0.761123	−	0.648608i	$-0.224648\pi$
$24$	9.39249	+	10.3167i	1.91723	+	2.10589i
$25$	−3.69845	−	2.13530i	−0.739691	−	0.427061i
$26$			15.9768i			3.13330i
$27$	3.12317	+	4.15281i	0.601054	+	0.799208i
$28$	−0.601206	−	0.601206i	−0.113617	−	0.113617i
$29$	−1.51372	−	5.64927i	−0.281090	−	1.04904i	−0.951649	−	0.307187i	$-0.900612\pi$
$29$	−1.51372	−	5.64927i	−0.281090	−	1.04904i	0.670559	−	0.741856i	$-0.266054\pi$
$30$	−3.91964	−	0.183807i	−0.715625	−	0.0335583i
$31$	5.84903	+	1.56724i	1.05052	+	0.281485i	0.742465	−	0.669885i	$-0.233656\pi$
$31$	5.84903	+	1.56724i	1.05052	+	0.281485i	0.308051	+	0.951370i	$0.400323\pi$
$32$	11.9941	−	6.92477i	2.12027	−	1.22414i
$33$	−0.637493	+	0.993576i	−0.110973	+	0.172959i
$34$	10.2487	−	3.81916i	1.75764	−	0.654980i
$35$	0.144172			0.0243695
$36$	13.7351	−	6.29720i	2.28918	−	1.04953i
$37$	4.19236	−	4.19236i	0.689220	−	0.689220i	−0.272840	−	0.962060i	$-0.587963\pi$
$37$	4.19236	−	4.19236i	0.689220	−	0.689220i	0.962060	+	0.272840i	$0.0879629\pi$
$38$	−4.47150	+	7.74486i	−0.725372	+	1.25638i
$39$	9.93901	+	3.16905i	1.59152	+	0.507454i
$40$	−1.78052	+	6.64500i	−0.281525	+	1.05067i
$41$	−0.145394	+	0.542620i	−0.0227068	+	0.0847429i	−0.976349	−	0.216198i	$-0.930634\pi$
$41$	−0.145394	+	0.542620i	−0.0227068	+	0.0847429i	0.953643	+	0.300941i	$0.0973009\pi$
$42$	−0.689125	+	0.355915i	−0.106334	+	0.0549188i
$43$	−3.69083	−	2.13090i	−0.562846	−	0.324959i	0.191441	−	0.981504i	$-0.438684\pi$
$43$	−3.69083	−	2.13090i	−0.562846	−	0.324959i	−0.754287	+	0.656545i	$0.772017\pi$
$44$	2.42734	+	2.42734i	0.365935	+	0.365935i
$45$	−0.891818	+	2.40191i	−0.132944	+	0.358056i
$46$	−14.8158	+	14.8158i	−2.18447	+	2.18447i
$47$	−2.93589	+	5.08511i	−0.428243	+	0.741739i	−0.996717	−	0.0809620i	$-0.974201\pi$
$47$	−2.93589	+	5.08511i	−0.428243	+	0.741739i	0.568474	+	0.822701i	$0.307534\pi$
$48$	−4.17239	−	19.1120i	−0.602233	−	2.75858i
$49$	−6.03750	+	3.48575i	−0.862500	+	0.497964i
$50$	5.66424	+	9.81075i	0.801044	+	1.38745i
$51$	−0.342993	−	7.13319i	−0.0480287	−	0.998846i
$52$	15.1676	−	26.2710i	2.10336	−	3.64313i
$53$			6.21070i			0.853105i	0.904463	+	0.426552i	$0.140272\pi$
$53$			6.21070i			0.853105i	−0.904463	+	0.426552i	$0.859728\pi$
$54$	−1.66678	−	13.6825i	−0.226820	−	1.86195i
$55$	−0.582087			−0.0784886
$56$	0.351939	+	1.31345i	0.0470298	+	0.175518i
$57$	3.93107	+	4.31790i	0.520683	+	0.571919i
$58$	−4.01538	+	14.9856i	−0.527245	+	1.96770i
$59$	4.84715	−	2.79850i	0.631045	−	0.364334i	−0.150112	−	0.988669i	$-0.547963\pi$
$59$	4.84715	−	2.79850i	0.631045	−	0.364334i	0.781157	+	0.624335i	$0.214630\pi$
$60$	6.27066	+	4.02335i	0.809538	+	0.519412i
$61$	−10.3109	+	2.76278i	−1.32017	+	0.353738i	−0.849041	−	0.528327i	$-0.822820\pi$
$61$	−10.3109	+	2.76278i	−1.32017	+	0.353738i	−0.471128	+	0.882065i	$0.656153\pi$
$62$	−11.3581	−	11.3581i	−1.44248	−	1.44248i
$63$	0.0847212	+	0.499295i	0.0106739	+	0.0629053i
$64$	−14.1497			−1.76871
$65$	1.33133	+	4.96857i	0.165131	+	0.616276i
$66$	2.78230	−	1.43699i	0.342478	−	0.176881i
$67$	−0.947715	−	1.64149i	−0.115782	−	0.200540i	0.802310	−	0.596907i	$-0.203604\pi$
$67$	−0.947715	−	1.64149i	−0.115782	−	0.200540i	−0.918092	+	0.396367i	$0.870271\pi$
$68$	−20.4779	−	3.44971i	−2.48331	−	0.418339i
$69$	6.27800	+	12.1555i	0.755783	+	1.46335i
$70$	−0.331202	−	0.191220i	−0.0395862	−	0.0228551i
$71$	−5.69308	+	5.69308i	−0.675644	+	0.675644i	−0.959011	−	0.283368i	$-0.908548\pi$
$71$	−5.69308	+	5.69308i	−0.675644	+	0.675644i	0.283368	+	0.959011i	$0.408548\pi$
$72$	−24.0592	−	2.26143i	−2.83541	−	0.266512i
$73$	0.863886	−	0.863886i	0.101110	−	0.101110i	−0.654742	−	0.755852i	$-0.727223\pi$
$73$	0.863886	−	0.863886i	0.101110	−	0.101110i	0.755852	+	0.654742i	$0.227223\pi$
$74$	−15.1914	+	4.07054i	−1.76597	+	0.473190i
$75$	7.22670	−	1.57768i	0.834467	−	0.182175i
$76$	14.7052	−	8.49003i	1.68680	−	0.973874i
$77$	−0.0996409	+	0.0575277i	−0.0113551	+	0.00655589i
$78$	−18.6294	−	20.4626i	−2.10936	−	2.31693i
$79$	8.38788	−	2.24752i	0.943710	−	0.252866i	0.246019	−	0.969265i	$-0.420878\pi$
$79$	8.38788	−	2.24752i	0.943710	−	0.252866i	0.697691	+	0.716399i	$0.254211\pi$
$80$	6.82059	−	6.82059i	0.762565	−	0.762565i
$81$	−8.84236	−	1.67708i	−0.982485	−	0.186342i
$82$	1.05370	−	1.05370i	0.116362	−	0.116362i
$83$	−5.62983	−	3.25039i	−0.617954	−	0.356776i	0.158118	−	0.987420i	$-0.449457\pi$
$83$	−5.62983	−	3.25039i	−0.617954	−	0.356776i	−0.776072	+	0.630644i	$0.782791\pi$
$84$	1.47103	+	0.0689822i	0.160503	+	0.00752657i
$85$	2.86898	−	2.04172i	0.311185	−	0.221456i
$86$	5.65255	+	9.79051i	0.609531	+	1.05574i
$87$	8.52594	+	5.47037i	0.914077	+	0.586486i
$88$	−1.42093	−	5.30300i	−0.151472	−	0.565301i
$89$	1.40061			0.148464			0.0742320	−	0.997241i	$-0.476349\pi$
$89$	1.40061			0.148464			0.0742320	+	0.997241i	$0.476349\pi$
$90$	5.23448	−	4.33501i	0.551763	−	0.456950i
$91$	0.718939	+	0.718939i	0.0753653	+	0.0753653i
$92$	38.4273	−	10.2966i	4.00632	−	1.07349i
$93$	−9.31872	+	4.81287i	−0.966306	+	0.499071i
$94$	13.4891	−	7.78792i	1.39129	−	0.803263i
$95$	−0.745209	+	2.78116i	−0.0764568	+	0.285341i
$96$	−7.28713	+	22.8545i	−0.743740	+	2.33258i
$97$	1.56289	+	5.83279i	0.158688	+	0.592230i	0.998761	+	0.0497578i	$0.0158449\pi$
$97$	1.56289	+	5.83279i	0.158688	+	0.592230i	−0.840074	+	0.542472i	$0.817488\pi$
$98$	18.4930			1.86808
$99$	−0.342057	−	2.01588i	−0.0343780	−	0.202603i
$100$		−	21.5094i		−	2.15094i
$101$	7.27846	−	12.6067i	0.724234	−	1.25441i	−0.235054	−	0.971982i	$-0.575527\pi$
$101$	7.27846	−	12.6067i	0.724234	−	1.25441i	0.959288	−	0.282428i	$-0.0911399\pi$
$102$	−8.67301	+	16.8418i	−0.858756	+	1.66759i
$103$	3.62383	+	6.27665i	0.357066	+	0.618457i	0.987469	−	0.157811i	$-0.0504437\pi$
$103$	3.62383	+	6.27665i	0.357066	+	0.618457i	−0.630403	+	0.776268i	$0.717110\pi$
$104$	−42.0154	+	24.2576i	−4.11995	+	2.37865i
$105$	−0.184651	+	0.168109i	−0.0180201	+	0.0164057i
$106$	8.23744	−	14.2677i	0.800091	−	1.38580i
$107$	1.59452	−	1.59452i	0.154148	−	0.154148i	−0.625820	−	0.779968i	$-0.715235\pi$
$107$	1.59452	−	1.59452i	0.154148	−	0.154148i	0.779968	+	0.625820i	$0.215235\pi$
$108$	−10.2487	+	24.0808i	−0.986186	+	2.31717i
$109$	−8.63101	−	8.63101i	−0.826701	−	0.826701i	0.160358	−	0.987059i	$-0.448735\pi$
$109$	−8.63101	−	8.63101i	−0.826701	−	0.826701i	−0.987059	+	0.160358i	$0.948735\pi$
$110$	1.33721	+	0.772039i	0.127498	+	0.0736111i
$111$	−0.481030	+	10.2579i	−0.0456574	+	0.973634i
$112$	0.493461	−	1.84162i	0.0466276	−	0.174017i
$113$	4.11539	−	15.3588i	0.387143	−	1.44484i	−0.447617	−	0.894225i	$-0.647727\pi$
$113$	4.11539	−	15.3588i	0.387143	−	1.44484i	0.834760	−	0.550613i	$-0.185606\pi$
$114$	−3.30378	−	15.1333i	−0.309428	−	1.41736i
$115$	−3.37294	+	5.84210i	−0.314528	+	0.544778i
$116$	20.8292	−	20.8292i	1.93394	−	1.93394i
$117$	−16.4248	+	7.53037i	−1.51847	+	0.696183i
$118$	−14.8469			−1.36677
$119$	0.289325	−	0.633041i	0.0265223	−	0.0580308i
$120$	−5.46784	−	10.5869i	−0.499143	−	0.966444i
$121$	−9.12398	+	5.26773i	−0.829453	+	0.478885i
$122$	27.3512	+	7.32873i	2.47626	+	0.663512i
$123$	−0.446494	−	0.864505i	−0.0402590	−	0.0779498i
$124$	7.89359	+	29.4593i	0.708865	+	2.64552i
$125$	5.59853	+	5.59853i	0.500748	+	0.500748i
$126$	0.467603	−	1.25939i	0.0416574	−	0.112195i
$127$			5.02354i			0.445767i	0.974845	+	0.222884i	$0.0715470\pi$
$127$			5.02354i			0.445767i	−0.974845	+	0.222884i	$0.928453\pi$
$128$	8.51759	+	4.91763i	0.752856	+	0.434662i
$129$	7.21179	−	1.57442i	0.634963	−	0.138620i
$130$	3.53155	−	13.1799i	0.309738	−	1.15596i
$131$	0.164573	+	0.0440971i	0.0143788	+	0.00385278i	0.266001	−	0.963973i	$-0.414297\pi$
$131$	0.164573	+	0.0440971i	0.0143788	+	0.00385278i	−0.251622	+	0.967825i	$0.580964\pi$
$132$	−5.93921	−	0.278512i	−0.516942	−	0.0242414i
$133$	0.147298	+	0.549724i	0.0127724	+	0.0476671i
$134$			5.02793i			0.434347i
$135$	−1.65849	−	4.11619i	−0.142740	−	0.354265i
$136$	25.6042	+	21.1533i	2.19555	+	1.81388i
$137$	−4.57752	+	7.92850i	−0.391084	+	0.677378i	−0.992593	−	0.121489i	$-0.961233\pi$
$137$	−4.57752	+	7.92850i	−0.391084	+	0.677378i	0.601509	+	0.798866i	$0.294567\pi$
$138$	1.69996	−	36.2512i	0.144710	−	3.08591i
$139$	−3.42518	−	0.917774i	−0.290520	−	0.0778446i	0.110616	−	0.993863i	$-0.464718\pi$
$139$	−3.42518	−	0.917774i	−0.290520	−	0.0778446i	−0.401136	+	0.916019i	$0.631384\pi$
$140$	0.363069	+	0.628854i	0.0306849	+	0.0531478i
$141$	−2.16919	−	9.93619i	−0.182679	−	0.836779i
$142$	20.6294	−	5.52764i	1.73118	−	0.463869i
$143$	−2.90268	−	2.90268i	−0.242734	−	0.242734i
$144$	27.6291	+	19.6130i	2.30242	+	1.63441i
$145$			4.99493i			0.414806i
$146$	−3.13038	+	0.838782i	−0.259072	+	0.0694181i
$147$	3.66816	−	11.5044i	0.302544	−	0.948863i
$148$	28.8440	+	7.72873i	2.37096	+	0.635298i
$149$	−3.26584	−	5.65660i	−0.267548	−	0.463407i	0.700680	−	0.713476i	$-0.252880\pi$
$149$	−3.26584	−	5.65660i	−0.267548	−	0.463407i	−0.968228	+	0.250069i	$0.919547\pi$
$150$	−18.6942	−	5.96064i	−1.52638	−	0.486684i
$151$	−2.49051	−	1.43789i	−0.202675	−	0.117014i	0.395228	−	0.918583i	$-0.370666\pi$
$151$	−2.49051	−	1.43789i	−0.202675	−	0.117014i	−0.597902	+	0.801569i	$0.703999\pi$
$152$	−27.1564			−2.20267
$153$	8.75681	+	8.73603i	0.707946	+	0.706266i
$154$	0.305203			0.0245940
$155$	−4.47869	−	2.58578i	−0.359737	−	0.207694i
$156$	11.2066	+	51.3329i	0.897247	+	4.10992i
$157$	−9.16709	−	15.8779i	−0.731614	−	1.26719i	−0.956193	−	0.292736i	$-0.905434\pi$
$157$	−9.16709	−	15.8779i	−0.731614	−	1.26719i	0.224580	−	0.974456i	$-0.427899\pi$
$158$	−22.2502	−	5.96192i	−1.77013	−	0.474305i
$159$	−7.24186	−	7.95448i	−0.574317	−	0.630831i
$160$	−11.4251	+	3.06135i	−0.903233	+	0.242021i
$161$			1.33339i			0.105086i
$162$	18.0890	+	15.5806i	1.42120	+	1.22413i
$163$	10.6521	+	10.6521i	0.834335	+	0.834335i	0.988106	−	0.153772i	$-0.0491420\pi$
$163$	10.6521	+	10.6521i	0.834335	+	0.834335i	−0.153772	+	0.988106i	$0.549142\pi$
$164$	−2.73296	+	0.732295i	−0.213409	+	0.0571826i
$165$	0.745519	−	0.678731i	0.0580386	−	0.0528391i
$166$	8.62217	+	14.9340i	0.669210	+	1.15911i
$167$	11.6261	+	3.11521i	0.899655	+	0.241062i	0.678868	−	0.734260i	$-0.262471\pi$
$167$	11.6261	+	3.11521i	0.899655	+	0.241062i	0.220787	+	0.975322i	$0.429137\pi$
$168$	−1.98228	−	1.27186i	−0.152936	−	0.0981262i
$169$	−11.6378	+	20.1573i	−0.895215	+	1.55056i
$170$	−9.29883	+	0.885179i	−0.713187	+	0.0678901i
$171$	−10.0696	−	0.946484i	−0.770042	−	0.0723795i
$172$		−	21.4650i		−	1.63669i
$173$	−0.269091	−	1.00426i	−0.0204586	−	0.0763525i	0.954942	−	0.296793i	$-0.0959172\pi$
$173$	−0.269091	−	1.00426i	−0.0204586	−	0.0763525i	−0.975400	+	0.220441i	$0.929250\pi$
$174$	−12.3309	−	23.8751i	−0.934802	−	1.80997i
$175$	0.696359	+	0.186589i	0.0526398	+	0.0141048i
$176$	−1.99232	+	7.43544i	−0.150177	+	0.560468i
$177$	−2.94494	+	9.23616i	−0.221355	+	0.694232i
$178$	−3.21757	−	1.85767i	−0.241167	−	0.139238i
$179$		−	14.0427i		−	1.04960i	−0.851225	−	0.524800i	$-0.824140\pi$
$179$		−	14.0427i		−	1.04960i	0.851225	−	0.524800i	$-0.175860\pi$
$180$	−12.7226	+	2.15879i	−0.948288	+	0.160907i
$181$	6.00311	+	6.00311i	0.446208	+	0.446208i	0.894092	−	0.447884i	$-0.147822\pi$
$181$	6.00311	+	6.00311i	0.446208	+	0.446208i	−0.447884	+	0.894092i	$0.647822\pi$
$182$	−0.698048	−	2.60515i	−0.0517428	−	0.193107i
$183$	9.98434	−	15.5613i	0.738064	−	1.15032i
$184$	−61.4571	−	16.4674i	−4.53068	−	1.21399i
$185$	−4.38516	+	2.53177i	−0.322403	+	0.186139i
$186$	27.7911	+	1.30323i	2.03774	+	0.0955573i
$187$	−1.16813	+	2.55587i	−0.0854223	+	0.186904i
$188$	−29.5739			−2.15690
$189$	−0.690702	−	0.540695i	−0.0502412	−	0.0393298i
$190$	5.40068	−	5.40068i	0.391807	−	0.391807i
$191$	6.22467	−	10.7814i	0.450401	−	0.780118i	−0.548010	−	0.836472i	$-0.684614\pi$
$191$	6.22467	−	10.7814i	0.450401	−	0.780118i	0.998411	+	0.0563542i	$0.0179476\pi$
$192$	18.1225	−	16.4990i	1.30788	−	1.19071i
$193$	1.60002	−	5.97137i	0.115172	−	0.429829i	−0.884127	−	0.467246i	$-0.845246\pi$
$193$	1.60002	−	5.97137i	0.115172	−	0.429829i	0.999300	+	0.0374170i	$0.0119130\pi$
$194$	4.14582	−	15.4724i	0.297652	−	1.11085i
$195$	−7.49863	−	4.81124i	−0.536988	−	0.344540i
$196$	−30.4085	−	17.5564i	−2.17204	−	1.25403i
$197$	11.0738	+	11.0738i	0.788978	+	0.788978i	0.981327	−	0.192348i	$-0.0616103\pi$
$197$	11.0738	+	11.0738i	0.788978	+	0.788978i	−0.192348	+	0.981327i	$0.561610\pi$
$198$	−1.88792	+	5.08470i	−0.134169	+	0.361354i
$199$	−4.31723	+	4.31723i	−0.306040	+	0.306040i	−0.843371	−	0.537331i	$-0.819432\pi$
$199$	−4.31723	+	4.31723i	−0.306040	+	0.306040i	0.537331	+	0.843371i	$0.319432\pi$
$200$	−17.2001	+	29.7914i	−1.21623	+	2.10657i
$201$	3.12783	+	0.997307i	0.220620	+	0.0703446i
$202$	−33.4412	+	19.3073i	−2.35292	+	1.35846i
$203$	0.493649	+	0.855025i	0.0346474	+	0.0600110i
$204$	30.2500	−	19.4596i	2.11792	−	1.36245i
$205$	0.239885	−	0.415492i	0.0167543	−	0.0290192i
$206$		−	19.2256i		−	1.33951i
$207$	−22.2144	−	8.24808i	−1.54401	−	0.573282i
$208$	68.0242			4.71663
$209$	−0.594709	−	2.21948i	−0.0411369	−	0.153525i
$210$	0.647162	−	0.141283i	0.0446584	−	0.00974948i
$211$	3.52055	−	13.1389i	0.242365	−	0.904517i	−0.732325	−	0.680955i	$-0.761565\pi$
$211$	3.52055	−	13.1389i	0.242365	−	0.904517i	0.974690	−	0.223562i	$-0.0717685\pi$
$212$	−27.0900	+	15.6404i	−1.86055	+	1.07419i
$213$	0.653222	−	13.9298i	0.0447580	−	0.954456i
$214$	−5.77791	+	1.54819i	−0.394969	+	0.105832i
$215$	2.57370	+	2.57370i	0.175525	+	0.175525i
$216$	33.4513	−	25.1574i	2.27607	−	1.71175i
$217$	−1.02221			−0.0693921
$218$	8.38020	+	31.2753i	0.567579	+	2.11823i
$219$	−0.0991220	+	2.11376i	−0.00669804	+	0.142834i
$220$	−1.46587	−	2.53896i	−0.0988291	−	0.171177i
$221$	24.4881	+	4.12526i	1.64725	+	0.277495i
$222$	14.7104	−	22.9271i	0.987296	−	1.53877i
$223$	23.9689	+	13.8385i	1.60508	+	0.926692i	0.990450	+	0.137875i	$0.0440272\pi$
$223$	23.9689	+	13.8385i	1.60508	+	0.926692i	0.614628	+	0.788817i	$0.289306\pi$
$224$	−1.65318	+	1.65318i	−0.110458	+	0.110458i
$225$	−7.41612	+	10.4472i	−0.494408	+	0.696480i
$226$	−29.8251	+	29.8251i	−1.98393	+	1.98393i
$227$	0.0921526	−	0.0246922i	0.00611638	−	0.00163888i	−0.255760	−	0.966740i	$-0.582326\pi$
$227$	0.0921526	−	0.0246922i	0.00611638	−	0.00163888i	0.261876	+	0.965102i	$0.415659\pi$
$228$	−8.93430	+	28.0205i	−0.591689	+	1.85570i
$229$	19.5803	−	11.3047i	1.29390	−	0.747036i	0.314560	−	0.949238i	$-0.398143\pi$
$229$	19.5803	−	11.3047i	1.29390	−	0.747036i	0.979344	+	0.202202i	$0.0648097\pi$
$230$	15.4971	−	8.94726i	1.02185	−	0.589965i
$231$	0.0605380	−	0.189864i	0.00398311	−	0.0124921i
$232$	−45.5054	+	12.1931i	−2.98758	+	0.800518i
$233$	12.0854	−	12.0854i	0.791739	−	0.791739i	−0.190038	−	0.981777i	$-0.560861\pi$
$233$	12.0854	−	12.0854i	0.791739	−	0.791739i	0.981777	+	0.190038i	$0.0608611\pi$
$234$	47.7200	+	4.48540i	3.11955	+	0.293220i
$235$	3.54597	−	3.54597i	0.231314	−	0.231314i
$236$	24.4132	+	14.0950i	1.58916	+	0.917503i
$237$	−8.12226	+	12.6591i	−0.527597	+	0.822296i
$238$	−1.50428	+	1.07053i	−0.0975079	+	0.0693920i
$239$	5.79246	+	10.0328i	0.374683	+	0.648970i	0.990280	−	0.139091i	$-0.0444182\pi$
$239$	5.79246	+	10.0328i	0.374683	+	0.648970i	−0.615596	+	0.788062i	$0.711085\pi$
$240$	−0.782592	+	16.6886i	−0.0505161	+	1.07725i
$241$	−0.411592	−	1.53608i	−0.0265130	−	0.0989477i	0.951402	−	0.307953i	$-0.0996440\pi$
$241$	−0.411592	−	1.53608i	−0.0265130	−	0.0989477i	−0.977914	+	0.209005i	$0.932977\pi$
$242$	27.9470			1.79650
$243$	13.2806	−	8.16251i	0.851949	−	0.523626i
$244$	−38.0167	−	38.0167i	−2.43377	−	2.43377i
$245$	5.75110	−	1.54100i	0.367424	−	0.0984510i
$246$	−0.120902	+	2.57820i	−0.00770840	+	0.164380i
$247$	−17.5849	+	10.1526i	−1.11890	+	0.645996i
$248$	12.6243	−	47.1145i	0.801643	−	2.99177i
$249$	11.0006	−	2.40156i	0.697133	−	0.152193i
$250$	−5.43584	−	20.2868i	−0.343793	−	1.28305i
$251$	−23.1777			−1.46296			−0.731481	−	0.681862i	$-0.761171\pi$
$251$	−23.1777			−1.46296			−0.731481	+	0.681862i	$0.761171\pi$
$252$	−1.96449	+	1.62692i	−0.123751	+	0.102486i
$253$		−	5.38350i		−	0.338457i
$254$	6.66288	−	11.5404i	0.418066	−	0.724112i
$255$	−1.29379	+	5.96030i	−0.0810204	+	0.373248i
$256$	1.10488	+	1.91371i	0.0690551	+	0.119607i
$257$	−13.9493	+	8.05363i	−0.870133	+	0.502371i	−0.867392	−	0.497625i	$-0.834206\pi$
$257$	−13.9493	+	8.05363i	−0.870133	+	0.502371i	−0.00274040	+	0.999996i	$0.500872\pi$
$258$	−18.6557	−	5.94834i	−1.16145	−	0.370328i
$259$	−0.500430	+	0.866771i	−0.0310952	+	0.0538585i
$260$	−18.3194	+	18.3194i	−1.13612	+	1.13612i
$261$	−17.2984	+	2.93522i	−1.07074	+	0.181685i
$262$	−0.319581	−	0.319581i	−0.0197438	−	0.0197438i
$263$	10.2721	+	5.93062i	0.633407	+	0.365698i	0.782070	−	0.623190i	$-0.214164\pi$
$263$	10.2721	+	5.93062i	0.633407	+	0.365698i	−0.148664	+	0.988888i	$0.547497\pi$
$264$	8.00335	+	5.13507i	0.492572	+	0.316042i
$265$	1.37283	−	5.12348i	0.0843324	−	0.314733i
$266$	0.390732	−	1.45823i	0.0239573	−	0.0894099i
$267$	−1.79385	+	1.63315i	−0.109782	+	0.0999471i
$268$	4.77327	−	8.26754i	0.291574	−	0.505021i
$269$	3.40517	−	3.40517i	0.207617	−	0.207617i	−0.595637	−	0.803254i	$-0.703100\pi$
$269$	3.40517	−	3.40517i	0.207617	−	0.207617i	0.803254	+	0.595637i	$0.203100\pi$
$270$	−1.64942	+	11.6557i	−0.100380	+	0.709344i
$271$	1.21100			0.0735632			0.0367816	−	0.999323i	$-0.488289\pi$
$271$	1.21100			0.0735632			0.0367816	+	0.999323i	$0.488289\pi$
$272$	−16.2608	−	43.6359i	−0.985956	−	2.64582i
$273$	−1.75910	−	0.0824909i	−0.106466	−	0.00499258i
$274$	21.0316	−	12.1426i	1.27057	−	0.733562i
$275$	−2.81151	−	0.753343i	−0.169541	−	0.0454283i
$276$	−37.2104	+	57.9949i	−2.23980	+	3.49088i
$277$	−1.41282	−	5.27272i	−0.0848882	−	0.316807i	0.910405	−	0.413719i	$-0.135770\pi$
$277$	−1.41282	−	5.27272i	−0.0848882	−	0.316807i	−0.995293	+	0.0969116i	$0.969104\pi$
$278$	6.65130	+	6.65130i	0.398918	+	0.398918i
$279$	6.32318	−	17.0301i	0.378559	−	1.01956i
$280$		−	1.16132i		−	0.0694021i
$281$	2.34727	+	1.35520i	0.140027	+	0.0808444i	0.568377	−	0.822768i	$-0.307572\pi$
$281$	2.34727	+	1.35520i	0.140027	+	0.0808444i	−0.428350	+	0.903613i	$0.640905\pi$
$282$	−8.19545	+	25.7032i	−0.488032	+	1.53060i
$283$	−7.30395	+	27.2587i	−0.434175	+	1.62036i	0.308859	+	0.951108i	$0.400053\pi$
$283$	−7.30395	+	27.2587i	−0.434175	+	1.62036i	−0.743034	+	0.669254i	$0.766614\pi$
$284$	−39.1691	−	10.4953i	−2.32426	−	0.622784i
$285$	−2.28847	−	4.43096i	−0.135557	−	0.262467i
$286$	2.81833	+	10.5182i	0.166651	+	0.621952i
$287$		−	0.0948313i		−	0.00559771i
$288$	−17.3159	−	37.7684i	−1.02035	−	2.22552i
$289$	−3.20748	−	16.6947i	−0.188675	−	0.982040i
$290$	6.62492	−	11.4747i	0.389029	−	0.673818i
$291$	−8.80291	−	5.64808i	−0.516036	−	0.331097i
$292$	5.94365	+	1.59260i	0.347826	+	0.0931997i
$293$	6.65276	+	11.5229i	0.388659	+	0.673177i	0.992269	−	0.124103i	$-0.0396052\pi$
$293$	6.65276	+	11.5229i	0.388659	+	0.673177i	−0.603611	+	0.797279i	$0.706272\pi$
$294$	−23.6853	+	21.5634i	−1.38136	+	1.25761i
$295$	−4.61721	+	1.23718i	−0.268825	+	0.0720313i
$296$	−33.7699	−	33.7699i	−1.96283	−	1.96283i
$297$	2.78867	+	2.18303i	0.161815	+	0.126672i
$298$			17.3263i			1.00369i
$299$	−45.9524	+	12.3129i	−2.65750	+	0.712074i
$300$	25.0806	+	27.5486i	1.44803	+	1.59052i
$301$	0.694923	+	0.186204i	0.0400547	+	0.0107326i
$302$	3.81425	+	6.60647i	0.219485	+	0.380160i
$303$	5.37772	+	24.6332i	0.308942	+	1.41514i
$304$	32.9752	+	19.0383i	1.89126	+	1.09192i
$305$	9.11657			0.522013
$306$	−8.52991	−	31.6835i	−0.487622	−	1.81122i
$307$	1.82966			0.104424			0.0522121	−	0.998636i	$-0.483373\pi$
$307$	1.82966			0.104424			0.0522121	+	0.998636i	$0.483373\pi$
$308$	−0.501852	−	0.289745i	−0.0285957	−	0.0165097i
$309$	−11.9601	−	3.81346i	−0.680384	−	0.216940i
$310$	6.85918	+	11.8805i	0.389575	+	0.674765i
$311$	2.74450	+	0.735386i	0.155626	+	0.0416999i	0.335791	−	0.941937i	$-0.390996\pi$
$311$	2.74450	+	0.735386i	0.155626	+	0.0416999i	−0.180165	+	0.983636i	$0.557663\pi$
$312$	25.5270	−	80.0597i	1.44518	−	4.53249i
$313$	2.70619	−	0.725122i	0.152963	−	0.0409863i	−0.181525	−	0.983386i	$-0.558103\pi$
$313$	2.70619	−	0.725122i	0.152963	−	0.0409863i	0.334488	+	0.942400i	$0.391437\pi$
$314$			48.6344i			2.74460i
$315$	0.0404756	−	0.430618i	0.00228054	−	0.0242626i
$316$	30.9266	+	30.9266i	1.73975	+	1.73975i
$317$	−12.9375	+	3.46660i	−0.726644	+	0.194704i	−0.603134	−	0.797640i	$-0.706082\pi$
$317$	−12.9375	+	3.46660i	−0.726644	+	0.194704i	−0.123510	+	0.992343i	$0.539415\pi$
$318$	6.08626	+	27.8787i	0.341301	+	1.56336i
$319$	−1.99308	−	3.45212i	−0.111591	−	0.193282i
$320$	11.6727	+	3.12769i	0.652524	+	0.174843i
$321$	−0.182955	+	3.90147i	−0.0102115	+	0.217759i
$322$	1.76852	−	3.06316i	0.0985556	−	0.170703i
$323$	10.7162	+	8.85335i	0.596267	+	0.492614i
$324$	−14.9526	−	42.7923i	−0.830702	−	2.37735i
$325$			25.7215i			1.42677i
$326$	−10.3425	−	38.5989i	−0.572820	−	2.13779i
$327$	21.1184	+	0.990319i	1.16785	+	0.0547648i
$328$	4.37085	+	1.17117i	0.241340	+	0.0646668i
$329$	0.256546	−	0.957444i	0.0141439	−	0.0527856i
$330$	−2.61288	+	0.570424i	−0.143834	+	0.0314008i
$331$	−5.94074	−	3.42989i	−0.326533	−	0.188524i	0.327768	−	0.944758i	$-0.393704\pi$
$331$	−5.94074	−	3.42989i	−0.326533	−	0.188524i	−0.654301	+	0.756235i	$0.727037\pi$
$332$		−	32.7418i		−	1.79694i
$333$	−11.3449	−	13.6989i	−0.621697	−	0.750694i
$334$	−22.5765	−	22.5765i	−1.23533	−	1.23533i
$335$	0.418972	+	1.56362i	0.0228909	+	0.0854299i
$336$	1.51538	+	2.93408i	0.0826705	+	0.160067i
$337$	31.5270	+	8.44765i	1.71739	+	0.460173i	0.977216	−	0.212246i	$-0.0680778\pi$
$337$	31.5270	+	8.44765i	1.71739	+	0.460173i	0.740171	+	0.672419i	$0.234744\pi$
$338$	53.4704	−	30.8711i	2.90840	−	1.67917i
$339$	12.6380	+	24.4698i	0.686403	+	1.32902i
$340$	16.1306	+	7.37232i	0.874806	+	0.399820i
$341$	4.12712			0.223496
$342$	21.8773	+	15.5300i	1.18299	+	0.839764i
$343$	1.66774	−	1.66774i	0.0900495	−	0.0900495i
$344$	−17.1646	+	29.7300i	−0.925453	+	1.60293i
$345$	−2.49211	−	11.4153i	−0.134171	−	0.614581i
$346$	−0.713807	+	2.66396i	−0.0383745	+	0.143216i
$347$	4.98224	−	18.5940i	0.267461	−	0.998177i	−0.693266	−	0.720682i	$-0.743829\pi$
$347$	4.98224	−	18.5940i	0.267461	−	0.998177i	0.960727	−	0.277495i	$-0.0895043\pi$
$348$	−2.38993	+	50.9648i	−0.128114	+	2.73200i
$349$	7.16872	+	4.13886i	0.383733	+	0.221548i	0.679441	−	0.733730i	$-0.262222\pi$
$349$	7.16872	+	4.13886i	0.383733	+	0.221548i	−0.295708	+	0.955278i	$0.595556\pi$
$350$	−1.35225	−	1.35225i	−0.0722807	−	0.0722807i
$351$	12.2557	−	28.7965i	0.654163	−	1.53704i
$352$	6.67463	−	6.67463i	0.355759	−	0.355759i
$353$	4.23552	−	7.33613i	0.225434	−	0.390463i	−0.731016	−	0.682361i	$-0.760953\pi$
$353$	4.23552	−	7.33613i	0.225434	−	0.390463i	0.956449	+	0.291898i	$0.0942867\pi$
$354$	19.0155	−	17.3120i	1.01066	−	0.920122i
$355$	5.95488	−	3.43805i	0.316052	−	0.182473i
$356$	3.52715	+	6.10921i	0.186939	+	0.323787i
$357$	0.367587	+	1.14814i	0.0194548	+	0.0607661i
$358$	−18.6253	+	32.2599i	−0.984376	+	1.70499i
$359$		−	21.6303i		−	1.14160i	−0.821088	−	0.570802i	$-0.806632\pi$
$359$		−	21.6303i		−	1.14160i	0.821088	−	0.570802i	$-0.193368\pi$
$360$	19.3477	+	7.18368i	1.01971	+	0.378613i
$361$	7.63414			0.401797
$362$	−5.82867	−	21.7529i	−0.306348	−	1.14331i
$363$	5.54339	−	17.3856i	0.290952	−	0.912508i
$364$	−1.32538	+	4.94640i	−0.0694690	+	0.259262i
$365$	−0.903613	+	0.521701i	−0.0472973	+	0.0273071i
$366$	−43.5761	+	22.5059i	−2.27776	+	1.17640i
$367$	11.7693	−	3.15357i	0.614352	−	0.164615i	0.0617931	−	0.998089i	$-0.480318\pi$
$367$	11.7693	−	3.15357i	0.614352	−	0.164615i	0.552559	+	0.833474i	$0.313651\pi$
$368$	63.0810	+	63.0810i	3.28833	+	3.28833i
$369$	1.57990	+	0.586607i	0.0822461	+	0.0305375i
$370$	13.4319			0.698289
$371$	−0.271354	−	1.01271i	−0.0140880	−	0.0525772i
$372$	−44.4603	−	28.5264i	−2.30516	−	1.47902i
$373$	−11.0857	−	19.2010i	−0.573996	−	0.994191i	−0.996150	−	0.0876666i	$-0.972059\pi$
$373$	−11.0857	−	19.2010i	−0.573996	−	0.994191i	0.422153	−	0.906524i	$-0.361274\pi$
$374$	6.07345	−	4.32220i	0.314051	−	0.223496i
$375$	−13.6985	−	0.642373i	−0.707387	−	0.0331720i
$376$	40.9610	+	23.6489i	2.11240	+	1.21960i
$377$	−24.9081	+	24.9081i	−1.28283	+	1.28283i
$378$	0.869590	+	2.15822i	0.0447269	+	0.111007i
$379$	3.42304	−	3.42304i	0.175830	−	0.175830i	−0.613705	−	0.789535i	$-0.710322\pi$
$379$	3.42304	−	3.42304i	0.175830	−	0.175830i	0.789535	+	0.613705i	$0.210322\pi$
$380$	−14.0076	+	3.75333i	−0.718575	+	0.192542i
$381$	−5.85760	−	6.43400i	−0.300094	−	0.329624i
$382$	−28.5995	+	16.5119i	−1.46328	+	0.844824i
$383$	−26.4093	+	15.2474i	−1.34945	+	0.779106i	−0.988172	−	0.153351i	$-0.950993\pi$
$383$	−26.4093	+	15.2474i	−1.34945	+	0.779106i	−0.361280	+	0.932457i	$0.617660\pi$
$384$	−16.6432	+	3.63341i	−0.849319	+	0.185417i
$385$	0.0949143	−	0.0254322i	0.00483728	−	0.00129614i
$386$	−11.5957	+	11.5957i	−0.590206	+	0.590206i
$387$	−7.40083	+	10.4256i	−0.376205	+	0.529966i
$388$	−21.5058	+	21.5058i	−1.09179	+	1.09179i
$389$	−8.67575	−	5.00894i	−0.439878	−	0.253964i	0.263668	−	0.964613i	$-0.415068\pi$
$389$	−8.67575	−	5.00894i	−0.439878	−	0.253964i	−0.703546	+	0.710650i	$0.748401\pi$
$390$	10.8451	+	20.9984i	0.549163	+	1.06329i
$391$	18.8831	+	26.5341i	0.954960	+	1.34189i
$392$	28.0781	+	48.6326i	1.41816	+	2.45632i
$393$	−0.262198	+	0.135418i	−0.0132261	+	0.00683096i
$394$	−10.7520	−	40.1272i	−0.541680	−	2.02158i
$395$	−7.41633			−0.373156
$396$	7.93152	−	6.56859i	0.398574	−	0.330084i
$397$	−1.35780	−	1.35780i	−0.0681461	−	0.0681461i	0.672212	−	0.740358i	$-0.265344\pi$
$397$	−1.35780	−	1.35780i	−0.0681461	−	0.0681461i	−0.740358	+	0.672212i	$0.765344\pi$
$398$	15.6439	−	4.19177i	0.784158	−	0.210115i
$399$	−0.829650	−	0.532316i	−0.0415345	−	0.0266491i
$400$	41.7712	−	24.1166i	2.08856	−	1.20583i
$401$	5.25593	−	19.6154i	0.262469	−	0.979547i	−0.701313	−	0.712854i	$-0.747402\pi$
$401$	5.25593	−	19.6154i	0.262469	−	0.979547i	0.963782	−	0.266693i	$-0.0859310\pi$
$402$	−5.86272	−	6.43963i	−0.292406	−	0.321179i
$403$	−9.43938	−	35.2282i	−0.470209	−	1.75484i
$404$	73.3176			3.64769
$405$	6.92375	+	3.33804i	0.344044	+	0.165869i
$406$		−	2.61897i		−	0.129977i
$407$	2.02046	−	3.49954i	0.100151	−	0.173466i
$408$	−57.4585	+	2.76284i	−2.84462	+	0.136781i
$409$	−14.1991	−	24.5936i	−0.702102	−	1.21608i	−0.967727	−	0.252000i	$-0.918912\pi$
$409$	−14.1991	−	24.5936i	−0.702102	−	1.21608i	0.265625	−	0.964076i	$-0.414422\pi$
$410$	−1.10216	+	0.636333i	−0.0544318	+	0.0314262i
$411$	−3.38212	−	15.4921i	−0.166828	−	0.764170i
$412$	−18.2518	+	31.6130i	−0.899202	+	1.55746i
$413$	−0.668098	+	0.668098i	−0.0328750	+	0.0328750i
$414$	40.0928	+	48.4117i	1.97045	+	2.37931i
$415$	3.92582	+	3.92582i	0.192711	+	0.192711i
$416$	−72.2393	−	41.7074i	−3.54182	−	2.04487i
$417$	5.45702	−	2.81841i	0.267232	−	0.138018i
$418$	−1.57756	+	5.88754i	−0.0771610	+	0.287969i
$419$	−6.10409	+	22.7808i	−0.298204	+	1.11291i	0.640435	+	0.768012i	$0.278754\pi$
$419$	−6.10409	+	22.7808i	−0.298204	+	1.11291i	−0.938639	+	0.344901i	$0.887913\pi$
$420$	−1.19827	−	0.382068i	−0.0584696	−	0.0186430i
$421$	8.07684	−	13.9895i	0.393641	−	0.681807i	−0.599285	−	0.800535i	$-0.704549\pi$
$421$	8.07684	−	13.9895i	0.393641	−	0.681807i	0.992927	+	0.118729i	$0.0378819\pi$
$422$	−25.5141	+	25.5141i	−1.24201	+	1.24201i
$423$	14.3641	+	10.1966i	0.698409	+	0.495777i
$424$	50.0278			2.42956
$425$	16.4998	−	6.14859i	0.800356	−	0.298250i
$426$	−19.9762	+	31.1342i	−0.967849	+	1.50846i
$427$	1.56056	−	0.900992i	0.0755210	−	0.0436020i
$428$	10.9705	+	2.93954i	0.530280	+	0.142088i
$429$	7.10228	+	0.333053i	0.342901	+	0.0160799i
$430$	−2.49892	−	9.32608i	−0.120508	−	0.449744i
$431$	5.15517	+	5.15517i	0.248316	+	0.248316i	0.820279	−	0.571963i	$-0.193818\pi$
$431$	5.15517	+	5.15517i	0.248316	+	0.248316i	−0.571963	+	0.820279i	$0.693818\pi$
$432$	−58.2558	+	7.09663i	−2.80283	+	0.341437i
$433$		−	37.1929i		−	1.78738i	−0.448688	−	0.893688i	$-0.648109\pi$
$433$		−	37.1929i		−	1.78738i	0.448688	−	0.893688i	$-0.351891\pi$
$434$	2.34829	+	1.35579i	0.112722	+	0.0650799i
$435$	−5.82424	−	6.39735i	−0.279251	−	0.306730i
$436$	15.9115	−	59.3825i	0.762023	−	2.84391i
$437$	−25.7219	−	6.89215i	−1.23044	−	0.329696i
$438$	3.03125	−	4.72440i	0.144839	−	0.225741i
$439$	−3.92292	−	14.6405i	−0.187231	−	0.698755i	−0.994142	−	0.108082i	$-0.965529\pi$
$439$	−3.92292	−	14.6405i	−0.187231	−	0.698755i	0.806911	−	0.590673i	$-0.201138\pi$
$440$			4.68876i			0.223528i
$441$	8.71637	+	19.0116i	0.415065	+	0.905315i
$442$	−50.7844	−	41.9562i	−2.41557	−	1.99565i
$443$	3.63225	−	6.29124i	0.172573	−	0.298906i	−0.766745	−	0.641951i	$-0.778125\pi$
$443$	3.63225	−	6.29124i	0.172573	−	0.298906i	0.939319	+	0.343045i	$0.111458\pi$
$444$	−45.9545	+	23.7343i	−2.18090	+	1.12638i
$445$	−1.15542	−	0.309594i	−0.0547722	−	0.0146762i
$446$	−36.7087	−	63.5814i	−1.73821	−	3.01067i
$447$	10.7786	+	3.43674i	0.509809	+	0.162552i
$448$	2.30723	−	0.618221i	0.109006	−	0.0292082i
$449$	−5.32461	−	5.32461i	−0.251284	−	0.251284i	0.570213	−	0.821497i	$-0.306861\pi$
$449$	−5.32461	−	5.32461i	−0.251284	−	0.251284i	−0.821497	+	0.570213i	$0.806861\pi$
$450$	30.8933	−	14.1638i	1.45632	−	0.667689i
$451$			0.382876i			0.0180289i
$452$	77.3565	−	20.7276i	3.63854	−	0.974945i
$453$	4.86640	−	1.06239i	0.228643	−	0.0499156i
$454$	−0.244450	−	0.0655001i	−0.0114726	−	0.00307407i
$455$	−0.434168	−	0.752001i	−0.0203541	−	0.0352544i
$456$	34.7811	−	31.6652i	1.62877	−	1.48286i
$457$	13.4661	+	7.77464i	0.629916	+	0.363682i	0.780720	−	0.624881i	$-0.214853\pi$
$457$	13.4661	+	7.77464i	0.629916	+	0.363682i	−0.150803	+	0.988564i	$0.548186\pi$
$458$	−59.9751			−2.80245
$459$	−21.4019	−	0.978143i	−0.998957	−	0.0456558i
$460$	−33.9763			−1.58415
$461$	27.1993	+	15.7036i	1.26680	+	0.731387i	0.974381	−	0.224903i	$-0.0722065\pi$
$461$	27.1993	+	15.7036i	1.26680	+	0.731387i	0.292419	+	0.956290i	$0.405540\pi$
$462$	−0.390895	+	0.355876i	−0.0181861	+	0.0165568i
$463$	−16.3271	−	28.2793i	−0.758784	−	1.31425i	−0.943471	−	0.331455i	$-0.892460\pi$
$463$	−16.3271	−	28.2793i	−0.758784	−	1.31425i	0.184687	−	0.982797i	$-0.440873\pi$
$464$	63.8041	+	17.0962i	2.96203	+	0.793673i
$465$	8.75127	−	1.91051i	0.405830	−	0.0885978i
$466$	−43.7926	+	11.7342i	−2.02865	+	0.543576i
$467$		−	8.07970i		−	0.373884i	−0.982371	−	0.186942i	$-0.940142\pi$
$467$		−	8.07970i		−	0.373884i	0.982371	−	0.186942i	$-0.0598576\pi$
$468$	−74.2088	−	52.6784i	−3.43031	−	2.43506i
$469$	0.226252	+	0.226252i	0.0104474	+	0.0104474i
$470$	−12.8492	+	3.44293i	−0.592689	+	0.158811i
$471$	30.2550	+	9.64679i	1.39408	+	0.444501i
$472$	−22.5422	−	39.0442i	−1.03759	−	1.79716i
$473$	−2.80572	−	0.751789i	−0.129007	−	0.0345673i
$474$	35.4492	−	18.3086i	1.62823	−	0.840940i
$475$	−7.19881	+	12.4687i	−0.330304	+	0.572103i
$476$	3.48983	−	0.332206i	0.159956	−	0.0152266i
$477$	18.5503	+	1.74362i	0.849361	+	0.0798350i
$478$		−	30.7309i		−	1.40560i
$479$	10.8046	+	40.3234i	0.493676	+	1.84242i	0.537321	+	0.843378i	$0.319436\pi$
$479$	10.8046	+	40.3234i	0.493676	+	1.84242i	−0.0436448	+	0.999047i	$0.513897\pi$
$480$	11.0633	−	17.2429i	0.504968	−	0.787027i
$481$	−34.4925	−	9.24224i	−1.57272	−	0.421410i
$482$	−1.09181	+	4.07470i	−0.0497307	+	0.185598i
$483$	−1.55477	−	1.70777i	−0.0707447	−	0.0777061i
$484$	−45.9540	−	26.5315i	−2.08882	−	1.20598i
$485$		−	5.15719i		−	0.234176i
$486$	−41.3353	+	1.13710i	−1.87501	+	0.0515799i
$487$	24.2614	+	24.2614i	1.09939	+	1.09939i	0.994482	+	0.104906i	$0.0334541\pi$
$487$	24.2614	+	24.2614i	1.09939	+	1.09939i	0.104906	+	0.994482i	$0.466546\pi$
$488$	22.2545	+	83.0549i	1.00741	+	3.75972i
$489$	−26.0635	−	1.22222i	−1.17863	−	0.0552705i
$490$	−15.2557	−	4.08776i	−0.689183	−	0.184666i
$491$	−32.5094	+	18.7693i	−1.46713	+	0.847048i	−0.999323	−	0.0367826i	$-0.988289\pi$
$491$	−32.5094	+	18.7693i	−1.46713	+	0.847048i	−0.467807	+	0.883831i	$0.654956\pi$
$492$	2.64642	−	4.12462i	0.119310	−	0.185952i
$493$	21.9321	+	10.0238i	0.987772	+	0.451451i
$494$	53.8629			2.42341
$495$	−0.163418	+	1.73860i	−0.00734509	+	0.0781441i
$496$	−48.3594	+	48.3594i	−2.17140	+	2.17140i
$497$	0.679567	−	1.17704i	0.0304827	−	0.0527976i
$498$	−28.4566	−	9.07336i	−1.27517	−	0.406587i
$499$	−3.87906	+	14.4768i	−0.173651	+	0.648073i	0.823127	+	0.567857i	$0.192227\pi$
$499$	−3.87906	+	14.4768i	−0.173651	+	0.648073i	−0.996778	+	0.0802154i	$0.974439\pi$
$500$	−10.3210	+	38.5186i	−0.461571	+	1.72261i
$501$	−18.5228	+	9.56653i	−0.827538	+	0.427401i
$502$	53.2454	+	30.7413i	2.37646	+	1.37205i
$503$	−11.0089	−	11.0089i	−0.490862	−	0.490862i	0.417716	−	0.908578i	$-0.362831\pi$
$503$	−11.0089	−	11.0089i	−0.490862	−	0.490862i	−0.908578	+	0.417716i	$0.862831\pi$
$504$	4.02187	−	0.682437i	0.179148	−	0.0303982i
$505$	−8.79094	+	8.79094i	−0.391192	+	0.391192i
$506$	−7.14029	+	12.3674i	−0.317425	+	0.549796i
$507$	−8.59863	−	39.3868i	−0.381879	−	1.74923i
$508$	−21.9118	+	12.6508i	−0.972181	+	0.561289i
$509$	1.25551	+	2.17460i	0.0556494	+	0.0963875i	0.892508	−	0.451031i	$-0.148944\pi$
$509$	1.25551	+	2.17460i	0.0556494	+	0.0963875i	−0.836859	+	0.547419i	$0.815610\pi$
$510$	10.8775	−	11.9764i	0.481664	−	0.530325i
$511$	−0.103120	+	0.178608i	−0.00456174	+	0.00790117i
$512$		−	25.5323i		−	1.12838i
$513$	14.0005	−	10.5292i	0.618136	−	0.464877i
$514$	42.7271			1.88461
$515$	−1.60204	−	5.97891i	−0.0705945	−	0.263462i
$516$	25.0289	+	27.4918i	1.10183	+	1.21026i
$517$	−1.03579	+	3.86563i	−0.0455541	+	0.170010i
$518$	2.29925	−	1.32747i	0.101023	−	0.0583258i
$519$	1.51564	+	0.972459i	0.0665293	+	0.0426862i
$520$	40.0223	−	10.7240i	1.75510	−	0.470277i
$521$	4.78524	+	4.78524i	0.209645	+	0.209645i	0.804117	−	0.594472i	$-0.202639\pi$
$521$	4.78524	+	4.78524i	0.209645	+	0.209645i	−0.594472	+	0.804117i	$0.702639\pi$
$522$	43.6322	+	16.2004i	1.90973	+	0.709072i
$523$	23.7785			1.03976			0.519881	−	0.854239i	$-0.325976\pi$
$523$	23.7785			1.03976			0.519881	+	0.854239i	$0.325976\pi$
$524$	0.222100	+	0.828888i	0.00970248	+	0.0362101i
$525$	−1.10944	+	0.572999i	−0.0484201	+	0.0250077i
$526$	−15.7319	−	27.2485i	−0.685944	−	1.18809i
$527$	−20.3417	+	14.4763i	−0.886097	+	0.630596i
$528$	−6.11825	−	11.8462i	−0.266263	−	0.515540i
$529$	−34.1127	−	19.6950i	−1.48316	−	0.856304i
$530$	−9.94919	+	9.94919i	−0.432165	+	0.432165i
$531$	−6.99785	−	15.2633i	−0.303681	−	0.662370i
$532$	−2.02686	+	2.02686i	−0.0878757	+	0.0878757i
$533$	3.26816	−	0.875700i	0.141560	−	0.0379308i
$534$	6.28707	−	1.37254i	0.272068	−	0.0593958i
$535$	−1.66785	+	0.962932i	−0.0721073	+	0.0416312i
$536$	−13.2224	+	7.63393i	−0.571119	+	0.329736i
$537$	16.3742	+	17.9855i	0.706600	+	0.776130i
$538$	−12.3390	+	3.30622i	−0.531972	+	0.142541i
$539$	−3.35984	+	3.35984i	−0.144718	+	0.144718i
$540$	13.7775	−	17.5999i	0.592891	−	0.757378i
$541$	26.1207	−	26.1207i	1.12302	−	1.12302i	0.131731	−	0.991286i	$-0.457947\pi$
$541$	26.1207	−	26.1207i	1.12302	−	1.12302i	0.991286	−	0.131731i	$-0.0420534\pi$
$542$	−2.78200	−	1.60619i	−0.119497	−	0.0689918i
$543$	−14.6884	−	0.688795i	−0.630341	−	0.0295590i
$544$	−9.48592	+	56.3097i	−0.406705	+	2.41426i
$545$	5.21227	+	9.02792i	0.223269	+	0.386714i
$546$	3.93172	+	2.52265i	0.168262	+	0.107960i
$547$	−2.26720	−	8.46130i	−0.0969384	−	0.361779i	0.900368	−	0.435130i	$-0.143297\pi$
$547$	−2.26720	−	8.46130i	−0.0969384	−	0.361779i	−0.997306	+	0.0733506i	$0.976631\pi$
$548$	−46.1104			−1.96974
$549$	5.35726	+	31.5724i	0.228642	+	1.34748i
$550$	5.45963	+	5.45963i	0.232799	+	0.232799i
$551$	−19.0455	+	5.10324i	−0.811367	+	0.217405i
$552$	97.9139	−	50.5699i	4.16749	−	2.15240i
$553$	−1.26952	+	0.732957i	−0.0539854	+	0.0311685i
$554$	−3.74774	+	13.9867i	−0.159226	+	0.594240i
$555$	2.66425	−	8.35584i	0.113091	−	0.354686i
$556$	−4.62247	−	17.2513i	−0.196036	−	0.731618i
$557$	−19.1931			−0.813237			−0.406618	−	0.913598i	$-0.633292\pi$
$557$	−19.1931			−0.813237			−0.406618	+	0.913598i	$0.633292\pi$
$558$	−37.1136	+	30.7361i	−1.57114	+	1.30116i
$559$			25.6685i			1.08566i
$560$	−0.814155	+	1.41016i	−0.0344043	+	0.0595900i
$561$	−1.48411	−	4.63556i	−0.0626593	−	0.195714i
$562$	−3.59488	−	6.22652i	−0.151641	−	0.262650i
$563$	6.89630	−	3.98158i	0.290644	−	0.167804i	−0.347588	−	0.937647i	$-0.612999\pi$
$563$	6.89630	−	3.98158i	0.290644	−	0.167804i	0.638232	+	0.769844i	$0.279666\pi$
$564$	37.8773	−	34.4840i	1.59492	−	1.45204i
$565$	−6.78993	+	11.7605i	−0.285655	+	0.494768i
$566$	52.9332	−	52.9332i	2.22495	−	2.22495i
$567$	1.51510	−	0.112873i	0.0636281	−	0.00474023i
$568$	45.8583	+	45.8583i	1.92417	+	1.92417i
$569$	20.8515	+	12.0386i	0.874139	+	0.504684i	0.868721	−	0.495301i	$-0.164942\pi$
$569$	20.8515	+	12.0386i	0.874139	+	0.504684i	0.00541746	+	0.999985i	$0.498276\pi$
$570$	−0.619672	+	13.2144i	−0.0259552	+	0.553490i
$571$	−5.57029	+	20.7886i	−0.233110	+	0.869977i	0.745882	+	0.666078i	$0.232028\pi$
$571$	−5.57029	+	20.7886i	−0.233110	+	0.869977i	−0.978992	+	0.203899i	$0.934639\pi$
$572$	5.35117	−	19.9708i	0.223744	−	0.835023i
$573$	4.59912	+	21.0667i	0.192131	+	0.880074i
$574$	−0.125778	+	0.217853i	−0.00524986	+	0.00909302i
$575$	−23.8524	+	23.8524i	−0.994714	+	0.994714i
$576$	−3.97246	+	42.2628i	−0.165519	+	1.76095i
$577$	10.3258			0.429867			0.214934	−	0.976629i	$-0.431047\pi$
$577$	10.3258			0.429867			0.214934	+	0.976629i	$0.431047\pi$
$578$	−14.7742	+	42.6064i	−0.614525	+	1.77219i
$579$	4.91354	+	9.51363i	0.204200	+	0.395373i
$580$	−21.7870	+	12.5787i	−0.904657	+	0.522304i
$581$	1.06001	+	0.284028i	0.0439765	+	0.0117835i
$582$	12.7315	+	24.6508i	0.527736	+	1.02181i
$583$	1.09558	+	4.08875i	0.0453742	+	0.169339i
$584$	−6.95868	−	6.95868i	−0.287952	−	0.287952i
$585$	15.2141	−	2.58155i	0.629025	−	0.106734i
$586$		−	35.2951i		−	1.45803i
$587$	−13.0279	−	7.52167i	−0.537719	−	0.310452i	0.206435	−	0.978460i	$-0.433814\pi$
$587$	−13.0279	−	7.52167i	−0.537719	−	0.310452i	−0.744154	+	0.668008i	$0.767147\pi$
$588$	59.4176	−	12.9716i	2.45034	−	0.534940i
$589$	5.28369	−	19.7190i	0.217711	−	0.812507i
$590$	12.2479	+	3.28182i	0.504238	+	0.135110i
$591$	−27.0955	−	1.27061i	−1.11456	−	0.0522659i
$592$	17.3311	+	64.6805i	0.712304	+	2.65835i
$593$		−	24.9968i		−	1.02650i	−0.858240	−	0.513249i	$-0.828442\pi$
$593$		−	24.9968i		−	1.02650i	0.858240	−	0.513249i	$-0.171558\pi$
$594$	−3.51092	−	8.71371i	−0.144055	−	0.357528i
$595$	−0.378606	+	0.458270i	−0.0155213	+	0.0187873i
$596$	16.4488	−	28.4901i	0.673768	−	1.16700i
$597$	0.495357	−	10.5634i	0.0202736	−	0.432331i
$598$	121.896	+	32.6620i	4.98471	+	1.33565i
$599$	−7.98606	−	13.8323i	−0.326302	−	0.565171i	0.655473	−	0.755218i	$-0.272469\pi$
$599$	−7.98606	−	13.8323i	−0.326302	−	0.565171i	−0.981775	+	0.190047i	$0.939136\pi$
$600$	−12.7083	−	58.2118i	−0.518816	−	2.37649i
$601$	−37.0739	+	9.93393i	−1.51228	+	0.405213i	−0.917191	−	0.398449i	$-0.869549\pi$
$601$	−37.0739	+	9.93393i	−1.51228	+	0.405213i	−0.595086	+	0.803662i	$0.702882\pi$
$602$	−1.34946	−	1.34946i	−0.0549998	−	0.0549998i
$603$	−5.16893	+	2.36983i	−0.210495	+	0.0965068i
$604$		−	14.4842i		−	0.589355i
$605$	8.69117	−	2.32879i	0.353346	−	0.0946789i
$606$	20.3176	−	63.7217i	0.825347	−	2.58852i
$607$	−0.739134	−	0.198050i	−0.0300005	−	0.00803861i	0.243788	−	0.969829i	$-0.421610\pi$
$607$	−0.739134	−	0.198050i	−0.0300005	−	0.00803861i	−0.273788	+	0.961790i	$0.588277\pi$
$608$	−23.3457	−	40.4359i	−0.946792	−	1.63989i
$609$	−1.62924	−	0.519481i	−0.0660200	−	0.0210504i
$610$	−20.9432	−	12.0916i	−0.847967	−	0.489574i
$611$	35.3653			1.43073
$612$	−16.0528	+	60.1957i	−0.648896	+	2.43327i
$613$	−15.0145			−0.606428			−0.303214	−	0.952922i	$-0.598060\pi$
$613$	−15.0145			−0.606428			−0.303214	+	0.952922i	$0.598060\pi$
$614$	−4.20323	−	2.42673i	−0.169628	−	0.0979350i
$615$	0.177240	+	0.811863i	0.00714699	+	0.0327375i
$616$	0.463391	+	0.802617i	0.0186706	+	0.0323384i
$617$	−9.64518	−	2.58442i	−0.388300	−	0.104045i	0.0593867	−	0.998235i	$-0.481085\pi$
$617$	−9.64518	−	2.58442i	−0.388300	−	0.104045i	−0.447687	+	0.894190i	$0.647752\pi$
$618$	22.4176	+	24.6235i	0.901768	+	0.990504i
$619$	45.3106	−	12.1409i	1.82119	−	0.487986i	0.824253	−	0.566221i	$-0.191595\pi$
$619$	45.3106	−	12.1409i	1.82119	−	0.487986i	0.996935	+	0.0782350i	$0.0249285\pi$
$620$		−	26.0471i		−	1.04608i
$621$	38.0690	−	15.3388i	1.52766	−	0.615523i
$622$	−5.32949	−	5.32949i	−0.213693	−	0.213693i
$623$	−0.228381	+	0.0611945i	−0.00914989	+	0.00245171i
$624$	−87.1234	+	79.3183i	−3.48773	+	3.17527i
$625$	7.29556	+	12.6363i	0.291822	+	0.505451i
$626$	−7.17861	−	1.92350i	−0.286915	−	0.0768786i
$627$	3.34967	+	2.14920i	0.133773	+	0.0858307i
$628$	46.1711	−	79.9706i	1.84243	−	3.19118i
$629$	2.31655	+	24.3354i	0.0923670	+	0.970318i
$630$	−0.664125	+	0.935562i	−0.0264594	+	0.0372737i
$631$			24.1496i			0.961379i	0.876891	+	0.480690i	$0.159614\pi$
$631$			24.1496i			0.961379i	−0.876891	+	0.480690i	$0.840386\pi$
$632$	−18.1040	−	67.5651i	−0.720139	−	2.68760i
$633$	10.8113	+	20.9329i	0.429711	+	0.832010i
$634$	34.3189	+	9.19572i	1.36298	+	0.365209i
$635$	1.11042	−	4.14414i	0.0440656	−	0.164455i
$636$	16.4589	−	51.6196i	0.652637	−	2.04685i
$637$	36.3634	+	20.9944i	1.44077	+	0.831829i
$638$			10.5739i			0.418626i
$639$	15.4060	+	18.6026i	0.609451	+	0.735907i
$640$	−5.93953	−	5.93953i	−0.234780	−	0.234780i
$641$	−1.40455	−	5.24185i	−0.0554763	−	0.207040i	0.932624	−	0.360849i	$-0.117513\pi$
$641$	−1.40455	−	5.24185i	−0.0554763	−	0.207040i	−0.988101	+	0.153808i	$0.950846\pi$
$642$	5.59494	−	8.72008i	0.220815	−	0.344154i
$643$	−4.78895	−	1.28319i	−0.188858	−	0.0506042i	0.163151	−	0.986601i	$-0.447834\pi$
$643$	−4.78895	−	1.28319i	−0.188858	−	0.0506042i	−0.352008	+	0.935997i	$0.614501\pi$
$644$	−5.81603	+	3.35788i	−0.229184	+	0.132319i
$645$	−6.29734	−	0.295306i	−0.247958	−	0.0116277i
$646$	−12.8756	−	34.5518i	−0.506585	−	1.35942i
$647$	−14.5894			−0.573568			−0.286784	−	0.957995i	$-0.592586\pi$
$647$	−14.5894			−0.573568			−0.286784	+	0.957995i	$0.592586\pi$
$648$	−13.5090	+	71.2261i	−0.530685	+	2.79803i
$649$	2.69741	−	2.69741i	0.105883	−	0.105883i
$650$	34.1153	−	59.0894i	1.33811	−	2.31768i
$651$	1.30922	−	1.19193i	0.0513122	−	0.0467153i
$652$	−19.6374	+	73.2877i	−0.769059	+	2.87017i
$653$	−5.99020	+	22.3557i	−0.234415	+	0.874847i	0.743997	+	0.668183i	$0.232927\pi$
$653$	−5.99020	+	22.3557i	−0.234415	+	0.874847i	−0.978412	+	0.206664i	$0.933739\pi$
$654$	−47.2011	−	30.2850i	−1.84571	−	1.18424i
$655$	−0.126016	−	0.0727553i	−0.00492384	−	0.00284278i
$656$	−4.48635	−	4.48635i	−0.175162	−	0.175162i
$657$	−2.33775	−	2.82282i	−0.0912044	−	0.110129i
$658$	−1.85924	+	1.85924i	−0.0724809	+	0.0724809i
$659$	−11.9344	+	20.6710i	−0.464899	+	0.805229i	−0.999197	−	0.0400670i	$-0.987243\pi$
$659$	−11.9344	+	20.6710i	−0.464899	+	0.805229i	0.534298	+	0.845296i	$0.320576\pi$
$660$	4.83796	+	1.54258i	0.188317	+	0.0600448i
$661$	3.77563	−	2.17986i	0.146855	−	0.0847868i	−0.424772	−	0.905300i	$-0.639646\pi$
$661$	3.77563	−	2.17986i	0.146855	−	0.0847868i	0.571627	+	0.820514i	$0.306312\pi$
$662$	9.09833	+	15.7588i	0.353617	+	0.612482i
$663$	−36.1738	+	23.2704i	−1.40487	+	0.903746i
$664$	−26.1822	+	45.3488i	−1.01607	+	1.75988i
$665$		−	0.486051i		−	0.0188482i
$666$	7.89309	+	46.5171i	0.305851	+	1.80250i
$667$	−46.1961			−1.78872
$668$	15.6901	+	58.5562i	0.607067	+	2.26561i
$669$	−46.8348	+	10.2246i	−1.81074	+	0.395306i
$670$	1.11139	−	4.14776i	0.0429367	−	0.160242i
$671$	−6.30069	+	3.63771i	−0.243236	+	0.140432i
$672$	0.189685	−	4.04500i	0.00731728	−	0.156039i
$673$	−5.88496	+	1.57687i	−0.226848	+	0.0607839i	−0.370453	−	0.928851i	$-0.620797\pi$
$673$	−5.88496	+	1.57687i	−0.226848	+	0.0607839i	0.143604	+	0.989635i	$0.454131\pi$
$674$	−61.2218	−	61.2218i	−2.35818	−	2.35818i
$675$	−2.68340	−	22.0279i	−0.103284	−	0.847854i
$676$	−117.230			−4.50885
$677$	7.05140	+	26.3162i	0.271007	+	1.01141i	0.958470	+	0.285194i	$0.0920579\pi$
$677$	7.05140	+	26.3162i	0.271007	+	1.01141i	−0.687462	+	0.726220i	$0.741275\pi$
$678$	3.42212	−	72.9760i	0.131426	−	2.80263i
$679$	−0.509686	−	0.882802i	−0.0195599	−	0.0338788i
$680$	−16.4463	−	23.1099i	−0.630686	−	0.886224i
$681$	−0.0892344	+	0.139078i	−0.00341947	+	0.00532947i
$682$	−9.48111	−	5.47392i	−0.363051	−	0.209607i
$683$	22.4635	−	22.4635i	0.859542	−	0.859542i	−0.131742	−	0.991284i	$-0.542057\pi$
$683$	22.4635	−	22.4635i	0.859542	−	0.859542i	0.991284	+	0.131742i	$0.0420572\pi$
$684$	−21.2299	−	46.3054i	−0.811746	−	1.77053i
$685$	5.52874	−	5.52874i	0.211242	−	0.211242i
$686$	−6.04322	+	1.61928i	−0.230731	+	0.0618243i
$687$	−11.8963	+	37.3100i	−0.453871	+	1.42346i
$688$	41.6850	−	24.0668i	1.58923	−	0.917540i
$689$	32.3950	−	18.7033i	1.23415	−	0.712538i
$690$	−9.41546	+	29.5295i	−0.358440	+	1.12417i
$691$	−32.7266	+	8.76907i	−1.24498	+	0.333591i	−0.820395	−	0.571797i	$-0.806246\pi$
$691$	−32.7266	+	8.76907i	−1.24498	+	0.333591i	−0.424584	+	0.905389i	$0.639580\pi$
$692$	3.70276	−	3.70276i	0.140758	−	0.140758i
$693$	0.143852	+	0.313761i	0.00546449	+	0.0119188i
$694$	−36.1073	+	36.1073i	−1.37061	+	1.37061i
$695$	2.62271	+	1.51422i	0.0994852	+	0.0574378i
$696$	44.0644	−	68.6773i	1.67026	−	2.60321i
$697$	−1.34297	−	1.88711i	−0.0508688	−	0.0714796i
$698$	−10.9790	−	19.0162i	−0.415561	−	0.719773i
$699$	−1.38667	+	29.5705i	−0.0524487	+	1.11846i
$700$	0.939776	+	3.50729i	0.0355202	+	0.132563i
$701$	47.4241			1.79119			0.895593	−	0.444875i	$-0.146752\pi$
$701$	47.4241			1.79119			0.895593	+	0.444875i	$0.146752\pi$
$702$	−66.3484	+	49.8982i	−2.50416	+	1.88329i
$703$	−14.1338	−	14.1338i	−0.533067	−	0.533067i
$704$	−9.31532	+	2.49603i	−0.351084	+	0.0940728i
$705$	−0.406864	+	8.67629i	−0.0153234	+	0.326768i
$706$	−19.4603	+	11.2354i	−0.732397	+	0.422849i
$707$	−0.636013	+	2.37363i	−0.0239197	+	0.0892696i
$708$	−47.7028	+	10.4141i	−1.79278	+	0.391386i
$709$	8.28835	+	30.9326i	0.311276	+	1.16170i	0.927407	+	0.374053i	$0.122032\pi$
$709$	8.28835	+	30.9326i	0.311276	+	1.16170i	−0.616132	+	0.787643i	$0.711301\pi$
$710$	−18.2400			−0.684534
$711$	−4.35813	−	25.6842i	−0.163443	−	0.963232i
$712$		−	11.2820i		−	0.422811i
$713$	23.9148	−	41.4217i	0.895618	−	1.55126i
$714$	0.678368	−	3.12514i	0.0253873	−	0.116955i
$715$	1.75293	+	3.03617i	0.0655559	+	0.113546i
$716$	61.2519	−	35.3638i	2.28909	−	1.32161i
$717$	−19.1174	−	6.09557i	−0.713953	−	0.227643i
$718$	−28.6889	+	49.6907i	−1.07066	+	1.85444i
$719$	6.11701	−	6.11701i	0.228126	−	0.228126i	−0.583783	−	0.811909i	$-0.698428\pi$
$719$	6.11701	−	6.11701i	0.228126	−	0.228126i	0.811909	+	0.583783i	$0.198428\pi$
$720$	−18.4571	−	22.2868i	−0.687857	−	0.830581i
$721$	−0.865132	−	0.865132i	−0.0322192	−	0.0322192i
$722$	−17.5377	−	10.1254i	−0.652686	−	0.376828i
$723$	2.31827	+	1.48744i	0.0862175	+	0.0553184i
$724$	−11.0669	+	41.3022i	−0.411298	+	1.53499i
$725$	−6.46449	+	24.1258i	−0.240085	+	0.896010i
$726$	−35.7937	+	32.5871i	−1.32843	+	1.20942i
$727$	6.20127	−	10.7409i	0.229993	−	0.398359i	−0.727813	−	0.685776i	$-0.759463\pi$
$727$	6.20127	−	10.7409i	0.229993	−	0.398359i	0.957806	+	0.287417i	$0.0927965\pi$
$728$	5.79113	−	5.79113i	0.214633	−	0.214633i
$729$	−7.49161	+	25.9398i	−0.277467	+	0.960735i
$730$	2.76779			0.102441
$731$	16.4657	−	6.13590i	0.609007	−	0.226945i
$732$	93.0192	+	4.36202i	3.43809	+	0.161225i
$733$	10.7092	−	6.18295i	0.395552	−	0.228372i	−0.289011	−	0.957326i	$-0.593326\pi$
$733$	10.7092	−	6.18295i	0.395552	−	0.228372i	0.684563	+	0.728954i	$0.259993\pi$
$734$	−31.2199	−	8.36536i	−1.15235	−	0.308771i
$735$	−5.56898	+	8.67963i	−0.205415	+	0.320153i
$736$	−28.3132	−	105.666i	−1.04364	−	3.89491i
$737$	−0.913481	−	0.913481i	−0.0336485	−	0.0336485i
$738$	−2.85142	−	3.44306i	−0.104962	−	0.126741i
$739$		−	51.2709i		−	1.88603i	−0.332749	−	0.943015i	$-0.607976\pi$
$739$		−	51.2709i		−	1.88603i	0.332749	−	0.943015i	$-0.392024\pi$
$740$	−22.0863	−	12.7515i	−0.811909	−	0.468756i
$741$	10.6839	−	33.5077i	0.392483	−	1.23093i
$742$	−0.719811	+	2.68637i	−0.0264251	+	0.0986198i
$743$	17.8023	+	4.77010i	0.653102	+	0.174998i	0.570131	−	0.821554i	$-0.306893\pi$
$743$	17.8023	+	4.77010i	0.653102	+	0.174998i	0.0829708	+	0.996552i	$0.473559\pi$
$744$	38.7681	+	75.0632i	1.42131	+	2.75195i
$745$	1.44378	+	5.38827i	0.0528961	+	0.197411i
$746$			58.8133i			2.15331i
$747$	−11.2889	+	15.9028i	−0.413040	+	0.581855i
$748$	−14.0900	+	1.34126i	−0.515181	+	0.0490414i
$749$	−0.190333	+	0.329667i	−0.00695463	+	0.0120458i
$750$	30.6171	+	19.6444i	1.11798	+	0.717313i
$751$	31.7684	+	8.51233i	1.15925	+	0.310619i	0.786665	−	0.617380i	$-0.211806\pi$
$751$	31.7684	+	8.51233i	1.15925	+	0.310619i	0.372582	+	0.927999i	$0.378473\pi$
$752$	−33.1586	−	57.4323i	−1.20917	−	2.09434i
$753$	29.6853	−	27.0259i	1.08179	−	0.984878i
$754$	90.2570	−	24.1843i	3.28697	−	0.880740i
$755$	1.73669	+	1.73669i	0.0632047	+	0.0632047i
$756$	0.619023	−	4.37436i	0.0225137	−	0.159094i
$757$			9.73604i			0.353862i	0.984223	+	0.176931i	$0.0566170\pi$
$757$			9.73604i			0.353862i	−0.984223	+	0.176931i	$0.943383\pi$
$758$	−12.4037	+	3.32357i	−0.450523	+	0.120717i
$759$	6.27732	+	6.89502i	0.227852	+	0.250273i
$760$	22.4025	+	6.00273i	0.812624	+	0.217742i
$761$	5.79811	+	10.0426i	0.210181	+	0.364044i	0.951771	−	0.306809i	$-0.0992613\pi$
$761$	5.79811	+	10.0426i	0.210181	+	0.364044i	−0.741590	+	0.670853i	$0.765928\pi$
$762$	4.92289	+	22.5498i	0.178338	+	0.816892i
$763$	1.78446	+	1.03026i	0.0646018	+	0.0372979i
$764$	62.7025			2.26850
$765$	−5.29284	−	9.14237i	−0.191363	−	0.330543i
$766$	80.8924			2.92276
$767$	−29.1940	−	16.8552i	−1.05413	−	0.608604i
$768$	−3.64655	−	1.16270i	−0.131583	−	0.0419553i
$769$	9.24521	+	16.0132i	0.333391	+	0.577450i	0.983174	−	0.182670i	$-0.0584739\pi$
$769$	9.24521	+	16.0132i	0.333391	+	0.577450i	−0.649784	+	0.760119i	$0.725141\pi$
$770$	−0.251775	−	0.0674630i	−0.00907335	−	0.00243120i
$771$	8.47506	−	26.5801i	0.305222	−	0.957260i
$772$	30.0755	−	8.05870i	1.08244	−	0.290039i
$773$		−	13.3153i		−	0.478920i	−0.970906	−	0.239460i	$-0.923030\pi$
$773$		−	13.3153i		−	0.478920i	0.970906	−	0.239460i	$-0.0769703\pi$
$774$	30.8296	−	14.1346i	1.10815	−	0.508058i
$775$	−18.2858	−	18.2858i	−0.656846	−	0.656846i
$776$	46.9837	−	12.5892i	1.68662	−	0.451927i
$777$	−0.369745	−	1.69365i	−0.0132645	−	0.0607594i
$778$	13.2870	+	23.0138i	0.476363	+	0.825085i
$779$	1.82935	+	0.490172i	0.0655432	+	0.0175623i
$780$	2.10196	−	44.8239i	0.0752623	−	1.60495i
$781$	−2.74371	+	4.75225i	−0.0981778	+	0.170049i
$782$	−8.18668	−	86.0013i	−0.292755	−	3.07540i
$783$	18.7327	−	23.9298i	0.669453	−	0.855181i
$784$		−	78.7377i		−	2.81206i
$785$	4.05265	+	15.1247i	0.144645	+	0.539823i
$786$	0.781950	+	0.0366686i	0.0278912	+	0.00130792i
$787$	19.1663	+	5.13561i	0.683206	+	0.183065i	0.583696	−	0.811972i	$-0.301606\pi$
$787$	19.1663	+	5.13561i	0.683206	+	0.183065i	0.0995100	+	0.995037i	$0.468272\pi$
$788$	−20.4149	+	76.1895i	−0.727252	+	2.71414i
$789$	−20.0715	+	4.38186i	−0.714565	+	0.155998i
$790$	17.0373	+	9.83650i	0.606161	+	0.349967i
$791$			2.68420i			0.0954392i
$792$	−16.2381	+	2.75530i	−0.576996	+	0.0979055i
$793$	45.4614	+	45.4614i	1.61438	+	1.61438i
$794$	1.31835	+	4.92013i	0.0467863	+	0.174609i
$795$	4.21585	+	8.16276i	0.149521	+	0.289503i
$796$	−29.7031	−	7.95892i	−1.05280	−	0.282097i
$797$	−18.0779	+	10.4373i	−0.640353	+	0.369708i	−0.784750	−	0.619812i	$-0.787209\pi$
$797$	−18.0779	+	10.4373i	−0.640353	+	0.369708i	0.144398	+	0.989520i	$0.453876\pi$
$798$	1.19991	+	2.32327i	0.0424762	+	0.0822427i
$799$	−8.45386	−	22.6860i	−0.299076	−	0.802573i
$800$	−59.1460			−2.09113
$801$	0.393213	−	4.18338i	0.0138935	−	0.147812i
$802$	−38.0908	+	38.0908i	−1.34503	+	1.34503i
$803$	0.416340	−	0.721122i	0.0146923	−	0.0254479i
$804$	3.52675	+	16.1546i	0.124379	+	0.569729i
$805$	0.294737	−	1.09997i	0.0103881	−	0.0387690i
$806$	−25.0395	+	93.4486i	−0.881978	+	3.29159i
$807$	−0.390708	+	8.33178i	−0.0137536	+	0.293293i
$808$	−101.548	−	58.6287i	−3.57244	−	2.06255i
$809$	−35.3641	−	35.3641i	−1.24334	−	1.24334i	−0.958608	−	0.284729i	$-0.908096\pi$
$809$	−35.3641	−	35.3641i	−1.24334	−	1.24334i	−0.284729	−	0.958608i	$-0.591904\pi$
$810$	−11.4784	−	16.8516i	−0.403310	−	0.592104i
$811$	−34.2062	+	34.2062i	−1.20114	+	1.20114i	−0.227323	+	0.973819i	$0.572997\pi$
$811$	−34.2062	+	34.2062i	−1.20114	+	1.20114i	−0.973819	+	0.227323i	$0.927003\pi$
$812$	−2.48632	+	4.30643i	−0.0872526	+	0.151126i
$813$	−1.55102	+	1.41207i	−0.0543966	+	0.0495234i
$814$	−9.28310	+	5.35960i	−0.325372	+	0.187854i
$815$	−6.43280	−	11.1419i	−0.225331	−	0.390285i
$816$	71.7072	+	36.9270i	2.51025	+	1.29271i
$817$	−7.18396	+	12.4430i	−0.251335	+	0.435325i
$818$			75.3310i			2.63389i
$819$	2.34919	−	1.94551i	0.0820874	−	0.0679818i
$820$	2.41641			0.0843847
$821$	6.05341	+	22.5916i	0.211266	+	0.788454i	0.987448	+	0.157945i	$0.0504869\pi$
$821$	6.05341	+	22.5916i	0.211266	+	0.788454i	−0.776182	+	0.630508i	$0.782846\pi$
$822$	−12.7780	+	40.0754i	−0.445685	+	1.39779i
$823$	−3.64887	+	13.6178i	−0.127192	+	0.474686i	−0.999908	−	0.0135413i	$-0.995690\pi$
$823$	−3.64887	+	13.6178i	−0.127192	+	0.474686i	0.872717	+	0.488227i	$0.162356\pi$
$824$	50.5590	−	29.1903i	1.76131	−	1.01689i
$825$	4.47933	−	2.31345i	0.155950	−	0.0805441i
$826$	2.42092	−	0.648684i	0.0842347	−	0.0225706i
$827$	−21.7632	−	21.7632i	−0.756781	−	0.756781i	0.218954	−	0.975735i	$-0.429736\pi$
$827$	−21.7632	−	21.7632i	−0.756781	−	0.756781i	−0.975735	+	0.218954i	$0.929736\pi$
$828$	−19.9658	−	117.667i	−0.693861	−	4.08920i
$829$	−14.2505			−0.494941			−0.247470	−	0.968895i	$-0.579599\pi$
$829$	−14.2505			−0.494941			−0.247470	+	0.968895i	$0.579599\pi$
$830$	−3.81174	−	14.2256i	−0.132308	−	0.493778i
$831$	7.95765	+	5.10575i	0.276048	+	0.177117i
$832$	42.6113	+	73.8049i	1.47728	+	2.55872i
$833$	4.77497	−	28.3449i	0.165443	−	0.982091i
$834$	−16.2744	−	0.763168i	−0.563536	−	0.0264263i
$835$	−8.90229	−	5.13974i	−0.308077	−	0.177868i
$836$	8.18335	−	8.18335i	0.283027	−	0.283027i
$837$	11.7591	+	29.1847i	0.406453	+	1.00877i
$838$	44.2376	−	44.2376i	1.52816	−	1.52816i
$839$	51.2014	−	13.7194i	1.76767	−	0.473646i	0.779421	−	0.626500i	$-0.215513\pi$
$839$	51.2014	−	13.7194i	1.76767	−	0.473646i	0.988249	+	0.152854i	$0.0488465\pi$
$840$	1.35413	+	1.48738i	0.0467220	+	0.0513196i
$841$	−4.50814	+	2.60278i	−0.155453	+	0.0897509i
$842$	−37.1094	+	21.4251i	−1.27887	+	0.738359i
$843$	−4.58652	+	1.00129i	−0.157968	+	0.0344864i
$844$	66.1754	−	17.7316i	2.27785	−	0.610348i
$845$	14.0562	−	14.0562i	0.483546	−	0.483546i
$846$	−19.4742	−	42.4760i	−0.669538	−	1.46036i
$847$	1.25759	−	1.25759i	0.0432113	−	0.0432113i
$848$	−60.7473	−	35.0725i	−2.08607	−	1.20439i
$849$	−22.4298	−	43.4288i	−0.769789	−	1.49047i
$850$	−46.0595	−	7.75917i	−1.57983	−	0.266137i
$851$	−23.4154	−	40.5566i	−0.802669	−	1.39026i
$852$	62.4046	−	32.2303i	2.13794	−	1.10419i
$853$	−8.95207	−	33.4096i	−0.306513	−	1.14392i	−0.931635	−	0.363395i	$-0.881617\pi$
$853$	−8.95207	−	33.4096i	−0.306513	−	1.14392i	0.625122	−	0.780527i	$-0.285049\pi$
$854$	−4.78005			−0.163570
$855$	8.09764	+	3.00661i	0.276934	+	0.102824i
$856$	−12.8440	−	12.8440i	−0.438999	−	0.438999i
$857$	−9.85041	+	2.63941i	−0.336483	+	0.0901605i	−0.423105	−	0.906081i	$-0.639060\pi$
$857$	−9.85041	+	2.63941i	−0.336483	+	0.0901605i	0.0866211	+	0.996241i	$0.472393\pi$
$858$	−15.8741	−	10.1851i	−0.541934	−	0.347713i
$859$	−28.1900	+	16.2755i	−0.961829	+	0.555312i	−0.896736	−	0.442567i	$-0.854068\pi$
$859$	−28.1900	+	16.2755i	−0.961829	+	0.555312i	−0.0650938	+	0.997879i	$0.520735\pi$
$860$	−4.74469	+	17.7074i	−0.161793	+	0.603819i
$861$	0.110576	+	0.121457i	0.00376843	+	0.00413925i
$862$	−5.00537	−	18.6803i	−0.170484	−	0.636253i
$863$	6.10174			0.207706			0.103853	−	0.994593i	$-0.466883\pi$
$863$	6.10174			0.207706			0.103853	+	0.994593i	$0.466883\pi$
$864$	66.2167	+	28.1818i	2.25274	+	0.958763i
$865$			0.887940i			0.0301909i
$866$	−49.3301	+	85.4422i	−1.67630	+	2.90344i
$867$	23.5745	+	17.6420i	0.800634	+	0.599154i
$868$	−2.57424	−	4.45871i	−0.0873753	−	0.151338i
$869$	5.12561	−	2.95927i	0.173874	−	0.100386i
$870$	4.89485	+	22.4213i	0.165951	+	0.760154i
$871$	−5.70801	+	9.88657i	−0.193409	+	0.334994i
$872$	−69.5236	+	69.5236i	−2.35437	+	2.35437i
$873$	17.8603	−	3.03057i	0.604481	−	0.102569i
$874$	49.9488	+	49.9488i	1.68954	+	1.68954i
$875$	−1.15750	−	0.668281i	−0.0391305	−	0.0225920i
$876$	−9.46947	+	4.89073i	−0.319944	+	0.165242i
$877$	11.1148	−	41.4809i	0.375319	−	1.40071i	−0.477560	−	0.878599i	$-0.658479\pi$
$877$	11.1148	−	41.4809i	0.375319	−	1.40071i	0.852878	−	0.522110i	$-0.174855\pi$
$878$	−10.4062	+	38.8364i	−0.351191	+	1.31066i
$879$	−21.9567	−	7.00089i	−0.740583	−	0.236134i
$880$	3.28711	−	5.69344i	0.110808	−	0.191926i
$881$	36.9407	−	36.9407i	1.24456	−	1.24456i	0.286477	−	0.958087i	$-0.407516\pi$
$881$	36.9407	−	36.9407i	1.24456	−	1.24456i	0.958087	−	0.286477i	$-0.0924842\pi$
$882$	5.19183	−	55.2356i	0.174818	−	1.85988i
$883$	−35.8818			−1.20752			−0.603759	−	0.797167i	$-0.706331\pi$
$883$	−35.8818			−1.20752			−0.603759	+	0.797167i	$0.706331\pi$
$884$	43.6748	+	117.202i	1.46894	+	3.94192i
$885$	4.47100	−	6.96835i	0.150291	−	0.234239i
$886$	−16.6885	+	9.63513i	−0.560662	+	0.323698i
$887$	21.3571	+	5.72261i	0.717101	+	0.192147i	0.598878	−	0.800840i	$-0.295614\pi$
$887$	21.3571	+	5.72261i	0.717101	+	0.192147i	0.118223	+	0.992987i	$0.462280\pi$
$888$	82.6281	+	3.87474i	2.77282	+	0.130028i
$889$	−0.219486	−	0.819132i	−0.00736131	−	0.0274728i
$890$	2.24369	+	2.24369i	0.0752088	+	0.0752088i
$891$	−6.11713	+	0.455720i	−0.204932	+	0.0152672i
$892$			139.398i			4.66739i
$893$	17.1436	+	9.89785i	0.573688	+	0.331219i
$894$	−20.2030	−	22.1911i	−0.675691	−	0.742180i
$895$	−3.10404	+	11.5844i	−0.103757	+	0.387225i
$896$	−1.60373	−	0.429717i	−0.0535767	−	0.0143558i
$897$	44.4973	−	69.3520i	1.48572	−	2.31559i
$898$	5.16989	+	19.2943i	0.172521	+	0.643859i
$899$		−	35.4151i		−	1.18116i
$900$	−64.2450	−	6.03866i	−2.14150	−	0.201289i
$901$	−19.7416	−	16.3097i	−0.657687	−	0.543356i
$902$	0.507821	−	0.879571i	0.0169086	−	0.0292865i
$903$	−1.10716	+	0.571817i	−0.0368439	+	0.0190289i
$904$	−123.717	−	33.1499i	−4.11477	−	1.10255i
$905$	−3.62529	−	6.27918i	−0.120509	−	0.208727i
$906$	−12.5885	−	4.01384i	−0.418226	−	0.133351i
$907$	40.9153	−	10.9632i	1.35857	−	0.364027i	0.495278	−	0.868734i	$-0.335066\pi$
$907$	40.9153	−	10.9632i	1.35857	−	0.364027i	0.863291	+	0.504707i	$0.168399\pi$
$908$	0.339772	+	0.339772i	0.0112757	+	0.0112757i
$909$	−35.6106	−	25.2788i	−1.18113	−	0.838446i
$910$			2.30340i			0.0763570i
$911$	33.6829	−	9.02531i	1.11596	−	0.299022i	0.346715	−	0.937970i	$-0.387297\pi$
$911$	33.6829	−	9.02531i	1.11596	−	0.299022i	0.769249	+	0.638949i	$0.220630\pi$
$912$	−64.4329	+	14.0665i	−2.13359	+	0.465788i
$913$	−4.27972	−	1.14675i	−0.141638	−	0.0379518i
$914$	−20.6235	−	35.7209i	−0.682164	−	1.18154i
$915$	−11.6762	+	10.6302i	−0.386004	+	0.351424i
$916$	98.6184	+	56.9374i	3.25844	+	1.88126i
$917$	−0.0287616			−0.000949793
$918$	47.8687	+	30.6331i	1.57990	+	1.01104i
$919$	−29.1002			−0.959927			−0.479963	−	0.877288i	$-0.659350\pi$
$919$	−29.1002			−0.959927			−0.479963	+	0.877288i	$0.659350\pi$
$920$	47.0587	+	27.1693i	1.55148	+	0.895746i
$921$	−2.34337	+	2.13344i	−0.0772168	+	0.0702992i
$922$	−41.6562	−	72.1506i	−1.37187	−	2.37616i
$923$	46.8396	+	12.5506i	1.54174	+	0.413109i
$924$	0.980608	−	0.214079i	0.0322597	−	0.00704268i
$925$	−24.4572	+	6.55329i	−0.804148	+	0.215471i
$926$			86.6204i			2.84652i
$927$	19.7647	−	9.06163i	0.649158	−	0.297623i
$928$	−57.2755	−	57.2755i	−1.88016	−	1.88016i
$929$	−52.6503	+	14.1076i	−1.72740	+	0.462855i	−0.979581	−	0.201049i	$-0.935565\pi$
$929$	−52.6503	+	14.1076i	−1.72740	+	0.462855i	−0.747818	+	0.663904i	$0.768898\pi$
$930$	−22.6380	−	7.21812i	−0.742330	−	0.236691i
$931$	11.7516	+	20.3544i	0.385144	+	0.667088i
$932$	83.1490	+	22.2797i	2.72364	+	0.729796i
$933$	−4.37255	+	2.25831i	−0.143151	+	0.0739336i
$934$	−10.7164	+	18.5613i	−0.350650	+	0.607343i
$935$	1.52860	−	1.85024i	0.0499906	−	0.0605094i
$936$	60.6578	+	132.303i	1.98266	+	4.32447i
$937$		−	16.1333i		−	0.527053i	−0.964652	−	0.263526i	$-0.915114\pi$
$937$		−	16.1333i		−	0.527053i	0.964652	−	0.263526i	$-0.0848856\pi$
$938$	−0.219678	−	0.819848i	−0.00717273	−	0.0267690i
$939$	−2.62049	+	4.08422i	−0.0855166	+	0.133283i
$940$	24.3968	+	6.53710i	0.795735	+	0.213217i
$941$	6.95465	−	25.9551i	0.226715	−	0.846113i	−0.754995	−	0.655731i	$-0.772361\pi$
$941$	6.95465	−	25.9551i	0.226715	−	0.846113i	0.981710	−	0.190382i	$-0.0609726\pi$
$942$	−56.7092	−	62.2895i	−1.84768	−	2.02950i
$943$	3.84273	+	2.21860i	0.125136	+	0.0722476i
$944$			63.2138i			2.05743i
$945$	0.450274	+	0.598718i	0.0146474	+	0.0194763i
$946$	5.44837	+	5.44837i	0.177142	+	0.177142i
$947$	−5.26241	−	19.6396i	−0.171005	−	0.638200i	−0.997198	−	0.0748123i	$-0.976164\pi$
$947$	−5.26241	−	19.6396i	−0.171005	−	0.638200i	0.826192	−	0.563388i	$-0.190502\pi$
$948$	−75.6711	−	3.54850i	−2.45768	−	0.115250i
$949$	−7.10759	−	1.90447i	−0.230722	−	0.0618218i
$950$	33.0752	−	19.0960i	1.07310	−	0.619556i
$951$	12.5278	−	19.5255i	0.406243	−	0.633157i
$952$	−5.09921	−	2.33054i	−0.165266	−	0.0755332i
$953$	−53.7591			−1.74143			−0.870715	−	0.491789i	$-0.836343\pi$
$953$	−53.7591			−1.74143			−0.870715	+	0.491789i	$0.836343\pi$
$954$	−40.3025	−	28.6094i	−1.30484	−	0.926265i
$955$	−7.51817	+	7.51817i	−0.243282	+	0.243282i
$956$	−29.1744	+	50.5315i	−0.943566	+	1.63431i
$957$	6.57796	+	2.09738i	0.212635	+	0.0677986i
$958$	28.6610	−	106.964i	0.925996	−	3.45586i
$959$	0.399997	−	1.49281i	0.0129166	−	0.0482053i
$960$	−18.5970	+	9.60488i	−0.600217	+	0.309996i
$961$	4.90810	+	2.83369i	0.158326	+	0.0914095i
$962$	66.9804	+	66.9804i	2.15953	+	2.15953i
$963$	−4.31491	−	5.21022i	−0.139046	−	0.167897i
$964$	5.66362	−	5.66362i	0.182413	−	0.182413i
$965$	−2.63986	+	4.57237i	−0.0849801	+	0.147190i
$966$	1.30668	+	5.98535i	0.0420416	+	0.192576i
$967$	45.8061	−	26.4462i	1.47302	−	0.850451i	0.473485	−	0.880802i	$-0.342996\pi$
$967$	45.8061	−	26.4462i	1.47302	−	0.850451i	0.999539	+	0.0303507i	$0.00966241\pi$
$968$	42.4321	+	73.4946i	1.36382	+	2.36221i
$969$	−24.0483	+	1.15634i	−0.772543	+	0.0371471i
$970$	−6.84014	+	11.8475i	−0.219624	+	0.380399i
$971$			46.2351i			1.48376i	0.670535	+	0.741878i	$0.266065\pi$
$971$			46.2351i			1.48376i	−0.670535	+	0.741878i	$0.733935\pi$
$972$	69.0480	+	37.3719i	2.21472	+	1.19870i
$973$	0.598604			0.0191904
$974$	−23.5564	−	87.9136i	−0.754795	−	2.81693i
$975$	−29.9921	−	32.9434i	−0.960516	−	1.05503i
$976$	31.2035	−	116.453i	0.998799	−	3.72757i
$977$	18.1957	−	10.5053i	0.582133	−	0.336094i	−0.179848	−	0.983694i	$-0.557561\pi$
$977$	18.1957	−	10.5053i	0.582133	−	0.336094i	0.761980	+	0.647600i	$0.224227\pi$
$978$	58.2539	+	37.3766i	1.86275	+	1.19517i
$979$	0.922076	−	0.247070i	0.0294697	−	0.00789638i
$980$	21.2046	+	21.2046i	0.677357	+	0.677357i
$981$	−28.2025	+	23.3563i	−0.900437	+	0.745709i
$982$	99.5773			3.17764
$983$	−12.3478	−	46.0827i	−0.393835	−	1.46981i	−0.823756	−	0.566945i	$-0.808125\pi$
$983$	−12.3478	−	46.0827i	−0.393835	−	1.46981i	0.429921	−	0.902866i	$-0.358541\pi$
$984$	−6.96367	+	3.59655i	−0.221994	+	0.114654i
$985$	−6.68750	−	11.5831i	−0.213082	−	0.369068i
$986$	−37.0891	−	52.1167i	−1.18116	−	1.65973i
$987$	0.787832	+	1.52541i	0.0250770	+	0.0485542i
$988$	−88.5681	−	51.1348i	−2.81773	−	1.62682i
$989$	−23.8032	+	23.8032i	−0.756898	+	0.756898i
$990$	2.68137	−	3.77728i	0.0852195	−	0.120050i
$991$	2.69668	−	2.69668i	0.0856627	−	0.0856627i	−0.662977	−	0.748640i	$-0.730707\pi$
$991$	2.69668	−	2.69668i	0.0856627	−	0.0856627i	0.748640	+	0.662977i	$0.230707\pi$
$992$	81.0064	−	21.7056i	2.57195	−	0.689153i
$993$	11.6081	−	2.53419i	0.368371	−	0.0804200i
$994$	−3.12230	+	1.80266i	−0.0990333	+	0.0571769i
$995$	4.51576	−	2.60718i	0.143159	−	0.0826531i
$996$	38.1780	+	41.9348i	1.20972	+	1.32875i
$997$	3.69078	−	0.988941i	0.116888	−	0.0313201i	−0.199901	−	0.979816i	$-0.564062\pi$
$997$	3.69078	−	0.988941i	0.116888	−	0.0313201i	0.316789	+	0.948496i	$0.397395\pi$
$998$	28.1123	−	28.1123i	0.889880	−	0.889880i
$999$	30.5035	+	4.31661i	0.965089	+	0.136571i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	153.2.n.a.106.1	yes	64
3.2	odd	2		459.2.o.a.208.16		64
9.4	even	3	inner	153.2.n.a.4.16	✓	64
9.5	odd	6		459.2.o.a.361.1		64
17.13	even	4	inner	153.2.n.a.115.16	yes	64
51.47	odd	4		459.2.o.a.370.1		64
153.13	even	12	inner	153.2.n.a.13.1	yes	64
153.149	odd	12		459.2.o.a.64.16		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
153.2.n.a.4.16	✓	64	9.4	even	3	inner
153.2.n.a.13.1	yes	64	153.13	even	12	inner
153.2.n.a.106.1	yes	64	1.1	even	1	trivial
153.2.n.a.115.16	yes	64	17.13	even	4	inner
459.2.o.a.64.16		64	153.149	odd	12
459.2.o.a.208.16		64	3.2	odd	2
459.2.o.a.361.1		64	9.5	odd	6
459.2.o.a.370.1		64	51.47	odd	4

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:	\( N \)	\(=\)	\( 153 = 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	153.n (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.29727 - 1.32633i) q^{2} +(-1.28077 + 1.16603i) q^{3} +(2.51830 + 4.36183i) q^{4} +(-0.824944 - 0.221043i) q^{5} +(4.48882 - 0.979965i) q^{6} +(-0.163059 + 0.0436914i) q^{7} -8.05510i q^{8} +(0.280745 - 2.98683i) q^{9} +O(q^{10})\)	\(q+(-2.29727 - 1.32633i) q^{2} +(-1.28077 + 1.16603i) q^{3} +(2.51830 + 4.36183i) q^{4} +(-0.824944 - 0.221043i) q^{5} +(4.48882 - 0.979965i) q^{6} +(-0.163059 + 0.0436914i) q^{7} -8.05510i q^{8} +(0.280745 - 2.98683i) q^{9} +(1.60194 + 1.60194i) q^{10} +(0.658341 - 0.176402i) q^{11} +(-8.31140 - 2.65008i) q^{12} +(-3.01146 - 5.21600i) q^{13} +(0.432539 + 0.115899i) q^{14} +(1.31431 - 0.678805i) q^{15} +(-5.64711 + 9.78108i) q^{16} +(-2.62607 + 3.17864i) q^{17} +(-4.60648 + 6.48921i) q^{18} -3.37133i q^{19} +(-1.11331 - 4.15492i) q^{20} +(0.157895 - 0.246090i) q^{21} +(-1.74635 - 0.467934i) q^{22} +(2.04434 - 7.62959i) q^{23} +(9.39249 + 10.3167i) q^{24} +(-3.69845 - 2.13530i) q^{25} +15.9768i q^{26} +(3.12317 + 4.15281i) q^{27} +(-0.601206 - 0.601206i) q^{28} +(-1.51372 - 5.64927i) q^{29} +(-3.91964 - 0.183807i) q^{30} +(5.84903 + 1.56724i) q^{31} +(11.9941 - 6.92477i) q^{32} +(-0.637493 + 0.993576i) q^{33} +(10.2487 - 3.81916i) q^{34} +0.144172 q^{35} +(13.7351 - 6.29720i) q^{36} +(4.19236 - 4.19236i) q^{37} +(-4.47150 + 7.74486i) q^{38} +(9.93901 + 3.16905i) q^{39} +(-1.78052 + 6.64500i) q^{40} +(-0.145394 + 0.542620i) q^{41} +(-0.689125 + 0.355915i) q^{42} +(-3.69083 - 2.13090i) q^{43} +(2.42734 + 2.42734i) q^{44} +(-0.891818 + 2.40191i) q^{45} +(-14.8158 + 14.8158i) q^{46} +(-2.93589 + 5.08511i) q^{47} +(-4.17239 - 19.1120i) q^{48} +(-6.03750 + 3.48575i) q^{49} +(5.66424 + 9.81075i) q^{50} +(-0.342993 - 7.13319i) q^{51} +(15.1676 - 26.2710i) q^{52} +6.21070i q^{53} +(-1.66678 - 13.6825i) q^{54} -0.582087 q^{55} +(0.351939 + 1.31345i) q^{56} +(3.93107 + 4.31790i) q^{57} +(-4.01538 + 14.9856i) q^{58} +(4.84715 - 2.79850i) q^{59} +(6.27066 + 4.02335i) q^{60} +(-10.3109 + 2.76278i) q^{61} +(-11.3581 - 11.3581i) q^{62} +(0.0847212 + 0.499295i) q^{63} -14.1497 q^{64} +(1.33133 + 4.96857i) q^{65} +(2.78230 - 1.43699i) q^{66} +(-0.947715 - 1.64149i) q^{67} +(-20.4779 - 3.44971i) q^{68} +(6.27800 + 12.1555i) q^{69} +(-0.331202 - 0.191220i) q^{70} +(-5.69308 + 5.69308i) q^{71} +(-24.0592 - 2.26143i) q^{72} +(0.863886 - 0.863886i) q^{73} +(-15.1914 + 4.07054i) q^{74} +(7.22670 - 1.57768i) q^{75} +(14.7052 - 8.49003i) q^{76} +(-0.0996409 + 0.0575277i) q^{77} +(-18.6294 - 20.4626i) q^{78} +(8.38788 - 2.24752i) q^{79} +(6.82059 - 6.82059i) q^{80} +(-8.84236 - 1.67708i) q^{81} +(1.05370 - 1.05370i) q^{82} +(-5.62983 - 3.25039i) q^{83} +(1.47103 + 0.0689822i) q^{84} +(2.86898 - 2.04172i) q^{85} +(5.65255 + 9.79051i) q^{86} +(8.52594 + 5.47037i) q^{87} +(-1.42093 - 5.30300i) q^{88} +1.40061 q^{89} +(5.23448 - 4.33501i) q^{90} +(0.718939 + 0.718939i) q^{91} +(38.4273 - 10.2966i) q^{92} +(-9.31872 + 4.81287i) q^{93} +(13.4891 - 7.78792i) q^{94} +(-0.745209 + 2.78116i) q^{95} +(-7.28713 + 22.8545i) q^{96} +(1.56289 + 5.83279i) q^{97} +18.4930 q^{98} +(-0.342057 - 2.01588i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Introduction

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