LMFDB - Embedded newform 73.2.h.a.24.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [73,2,Mod(3,73)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(73, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("73.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 73 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	73.h (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:	$0.582907934755$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + \cdots + 1 $ x^20 + 28x^18 + 326x^16 + 2044x^14 + 7471x^12 + 16090x^10 + 19590x^8 + 12030x^6 + 2877x^4 + 230*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			24.4
Root			$1.18677i$ of defining polynomial
Character	$\chi$	$=$	73.24
Dual form			73.2.h.a.70.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.593383 + 1.02777i) q^{2} +3.06395i q^{3} +(0.295794 - 0.512330i) q^{4} +(-1.03319 - 3.85590i) q^{5} +(-3.14904 + 1.81810i) q^{6} +(-1.17070 + 1.17070i) q^{7} +3.07561 q^{8} -6.38782 q^{9} +O(q^{10})$	\(q+(0.593383 + 1.02777i) q^{2} +3.06395i q^{3} +(0.295794 - 0.512330i) q^{4} +(-1.03319 - 3.85590i) q^{5} +(-3.14904 + 1.81810i) q^{6} +(-1.17070 + 1.17070i) q^{7} +3.07561 q^{8} -6.38782 q^{9} +(3.34990 - 3.34990i) q^{10} +(0.745796 - 0.199835i) q^{11} +(1.56976 + 0.906299i) q^{12} +(0.0599813 - 0.223853i) q^{13} +(-1.89789 - 0.508537i) q^{14} +(11.8143 - 3.16563i) q^{15} +(1.23342 + 2.13635i) q^{16} +(1.58970 - 1.58970i) q^{17} +(-3.79042 - 6.56520i) q^{18} +(-5.13971 + 2.96741i) q^{19} +(-2.28110 - 0.611220i) q^{20} +(-3.58698 - 3.58698i) q^{21} +(0.647927 + 0.647927i) q^{22} +(0.739804 + 0.427126i) q^{23} +9.42352i q^{24} +(-9.47037 + 5.46772i) q^{25} +(0.265661 - 0.0711838i) q^{26} -10.3801i q^{27} +(0.253499 + 0.946072i) q^{28} +(0.958524 - 3.57726i) q^{29} +(10.2639 + 10.2639i) q^{30} +(-0.110505 + 0.412410i) q^{31} +(1.61182 - 2.79176i) q^{32} +(0.612287 + 2.28509i) q^{33} +(2.57715 + 0.690544i) q^{34} +(5.72366 + 3.30456i) q^{35} +(-1.88948 + 3.27267i) q^{36} +(-0.311715 + 0.539906i) q^{37} +(-6.09963 - 3.52162i) q^{38} +(0.685876 + 0.183780i) q^{39} +(-3.17767 - 11.8592i) q^{40} +(-0.104071 + 0.180257i) q^{41} +(1.55813 - 5.81504i) q^{42} +(-0.0314512 - 0.0314512i) q^{43} +(0.118220 - 0.441204i) q^{44} +(6.59980 + 24.6308i) q^{45} +1.01380i q^{46} +(-7.11259 + 1.90581i) q^{47} +(-6.54569 + 3.77916i) q^{48} +4.25891i q^{49} +(-11.2391 - 6.48890i) q^{50} +(4.87077 + 4.87077i) q^{51} +(-0.0969447 - 0.0969447i) q^{52} +(11.9599 + 3.20465i) q^{53} +(10.6684 - 6.15938i) q^{54} +(-1.54109 - 2.66925i) q^{55} +(-3.60062 + 3.60062i) q^{56} +(-9.09202 - 15.7478i) q^{57} +(4.24537 - 1.13754i) q^{58} +(-13.5638 - 3.63442i) q^{59} +(1.87275 - 6.98920i) q^{60} +(6.86261 + 3.96213i) q^{61} +(-0.489434 + 0.131144i) q^{62} +(7.47823 - 7.47823i) q^{63} +8.75941 q^{64} -0.925128 q^{65} +(-1.98522 + 1.98522i) q^{66} +(7.34576 - 4.24108i) q^{67} +(-0.344228 - 1.28467i) q^{68} +(-1.30869 + 2.26673i) q^{69} +7.84347i q^{70} +(3.13502 + 5.43002i) q^{71} -19.6464 q^{72} +(3.43862 + 7.82150i) q^{73} -0.739865 q^{74} +(-16.7529 - 29.0168i) q^{75} +3.51097i q^{76} +(-0.639157 + 1.10705i) q^{77} +(0.218104 + 0.813974i) q^{78} +(2.82450 - 1.63073i) q^{79} +(6.96321 - 6.96321i) q^{80} +12.6407 q^{81} -0.247017 q^{82} +(3.07888 - 3.07888i) q^{83} +(-2.89872 + 0.776710i) q^{84} +(-7.77218 - 4.48727i) q^{85} +(0.0136620 - 0.0509872i) q^{86} +(10.9606 + 2.93687i) q^{87} +(2.29378 - 0.614615i) q^{88} +(-6.67538 - 11.5621i) q^{89} +(-21.3986 + 21.3986i) q^{90} +(0.191845 + 0.332286i) q^{91} +(0.437659 - 0.252683i) q^{92} +(-1.26361 - 0.338582i) q^{93} +(-6.17923 - 6.17923i) q^{94} +(16.7523 + 16.7523i) q^{95} +(8.55382 + 4.93855i) q^{96} -2.46545i q^{97} +(-4.37718 + 2.52717i) q^{98} +(-4.76401 + 1.27651i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) $ 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/73\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{5}{12}\right)$

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 $

$2$	0.593383	+	1.02777i	0.419585	+	0.726742i	0.995898	−	0.0904868i	$-0.0288423\pi$
$2$	0.593383	+	1.02777i	0.419585	+	0.726742i	−0.576313	+	0.817229i	$0.695509\pi$
$3$			3.06395i			1.76897i	0.466564	+	0.884487i	$0.345492\pi$
$3$			3.06395i			1.76897i	−0.466564	+	0.884487i	$0.654508\pi$
$4$	0.295794	−	0.512330i	0.147897	−	0.256165i
$5$	−1.03319	−	3.85590i	−0.462055	−	1.72441i	−0.666474	−	0.745528i	$-0.732197\pi$
$5$	−1.03319	−	3.85590i	−0.462055	−	1.72441i	0.204420	−	0.978883i	$-0.434469\pi$
$6$	−3.14904	+	1.81810i	−1.28559	+	0.742235i
$7$	−1.17070	+	1.17070i	−0.442484	+	0.442484i	−0.892846	−	0.450362i	$-0.851295\pi$
$7$	−1.17070	+	1.17070i	−0.442484	+	0.442484i	0.450362	+	0.892846i	$0.351295\pi$
$8$	3.07561			1.08739
$9$	−6.38782			−2.12927
$10$	3.34990	−	3.34990i	1.05933	−	1.05933i
$11$	0.745796	−	0.199835i	0.224866	−	0.0602527i	−0.144627	−	0.989486i	$-0.546198\pi$
$11$	0.745796	−	0.199835i	0.224866	−	0.0602527i	0.369493	+	0.929234i	$0.379531\pi$
$12$	1.56976	+	0.906299i	0.453149	+	0.261626i
$13$	0.0599813	−	0.223853i	0.0166358	−	0.0620857i	−0.957109	−	0.289728i	$-0.906435\pi$
$13$	0.0599813	−	0.223853i	0.0166358	−	0.0620857i	0.973745	+	0.227642i	$0.0731017\pi$
$14$	−1.89789	−	0.508537i	−0.507231	−	0.135912i
$15$	11.8143	−	3.16563i	3.05044	−	0.817363i
$16$	1.23342	+	2.13635i	0.308356	+	0.534088i
$17$	1.58970	−	1.58970i	0.385559	−	0.385559i	−0.487541	−	0.873100i	$-0.662106\pi$
$17$	1.58970	−	1.58970i	0.385559	−	0.385559i	0.873100	+	0.487541i	$0.162106\pi$
$18$	−3.79042	−	6.56520i	−0.893411	−	1.54743i
$19$	−5.13971	+	2.96741i	−1.17913	+	0.680771i	−0.955813	−	0.293975i	$-0.905022\pi$
$19$	−5.13971	+	2.96741i	−1.17913	+	0.680771i	−0.223317	+	0.974746i	$0.571688\pi$
$20$	−2.28110	−	0.611220i	−0.510070	−	0.136673i
$21$	−3.58698	−	3.58698i	−0.782743	−	0.782743i
$22$	0.647927	+	0.647927i	0.138139	+	0.138139i
$23$	0.739804	+	0.427126i	0.154260	+	0.0890619i	0.575143	−	0.818053i	$-0.304946\pi$
$23$	0.739804	+	0.427126i	0.154260	+	0.0890619i	−0.420883	+	0.907115i	$0.638280\pi$
$24$			9.42352i			1.92357i
$25$	−9.47037	+	5.46772i	−1.89407	+	1.09354i
$26$	0.265661	−	0.0711838i	0.0521005	−	0.0139603i
$27$		−	10.3801i		−	1.99765i
$28$	0.253499	+	0.946072i	0.0479069	+	0.178791i
$29$	0.958524	−	3.57726i	0.177993	−	0.664280i	−0.818029	−	0.575177i	$-0.804933\pi$
$29$	0.958524	−	3.57726i	0.177993	−	0.664280i	0.996022	−	0.0891033i	$-0.0284001\pi$
$30$	10.2639	+	10.2639i	1.87393	+	1.87393i
$31$	−0.110505	+	0.412410i	−0.0198473	+	0.0740711i	−0.975139	−	0.221593i	$-0.928874\pi$
$31$	−0.110505	+	0.412410i	−0.0198473	+	0.0740711i	0.955292	+	0.295664i	$0.0955410\pi$
$32$	1.61182	−	2.79176i	0.284932	−	0.493518i
$33$	0.612287	+	2.28509i	0.106585	+	0.397782i
$34$	2.57715	+	0.690544i	0.441977	+	0.118427i
$35$	5.72366	+	3.30456i	0.967476	+	0.558572i
$36$	−1.88948	+	3.27267i	−0.314913	+	0.545445i
$37$	−0.311715	+	0.539906i	−0.0512456	+	0.0887600i	−0.890510	−	0.454963i	$-0.849652\pi$
$37$	−0.311715	+	0.539906i	−0.0512456	+	0.0887600i	0.839265	+	0.543723i	$0.182986\pi$
$38$	−6.09963	−	3.52162i	−0.989491	−	0.571283i
$39$	0.685876	+	0.183780i	0.109828	+	0.0294284i
$40$	−3.17767	−	11.8592i	−0.502434	−	1.87511i
$41$	−0.104071	+	0.180257i	−0.0162532	+	0.0281514i	−0.874038	−	0.485858i	$-0.838507\pi$
$41$	−0.104071	+	0.180257i	−0.0162532	+	0.0281514i	0.857784	+	0.514010i	$0.171840\pi$
$42$	1.55813	−	5.81504i	0.240425	−	0.897280i
$43$	−0.0314512	−	0.0314512i	−0.00479626	−	0.00479626i	0.704705	−	0.709501i	$-0.251080\pi$
$43$	−0.0314512	−	0.0314512i	−0.00479626	−	0.00479626i	−0.709501	+	0.704705i	$0.751080\pi$
$44$	0.118220	−	0.441204i	0.0178224	−	0.0665140i
$45$	6.59980	+	24.6308i	0.983840	+	3.67174i
$46$			1.01380i			0.149476i
$47$	−7.11259	+	1.90581i	−1.03748	+	0.277991i	−0.737068	−	0.675819i	$-0.763790\pi$
$47$	−7.11259	+	1.90581i	−1.03748	+	0.277991i	−0.300410	+	0.953810i	$0.597124\pi$
$48$	−6.54569	+	3.77916i	−0.944789	+	0.545474i
$49$			4.25891i			0.608416i
$50$	−11.2391	−	6.48890i	−1.58945	−	0.917670i
$51$	4.87077	+	4.87077i	0.682044	+	0.682044i
$52$	−0.0969447	−	0.0969447i	−0.0134438	−	0.0134438i
$53$	11.9599	+	3.20465i	1.64282	+	0.440192i	0.957590	−	0.288134i	$-0.0930349\pi$
$53$	11.9599	+	3.20465i	1.64282	+	0.440192i	0.685230	+	0.728326i	$0.259702\pi$
$54$	10.6684	−	6.15938i	1.45178	−	0.838186i
$55$	−1.54109	−	2.66925i	−0.207801	−	0.359921i
$56$	−3.60062	+	3.60062i	−0.481153	+	0.481153i
$57$	−9.09202	−	15.7478i	−1.20427	−	2.08585i
$58$	4.24537	−	1.13754i	0.557444	−	0.149367i
$59$	−13.5638	−	3.63442i	−1.76586	−	0.473161i	−0.777968	−	0.628304i	$-0.783750\pi$
$59$	−13.5638	−	3.63442i	−1.76586	−	0.473161i	−0.987892	+	0.155143i	$0.950416\pi$
$60$	1.87275	−	6.98920i	0.241771	−	0.902302i
$61$	6.86261	+	3.96213i	0.878667	+	0.507299i	0.870219	−	0.492666i	$-0.163977\pi$
$61$	6.86261	+	3.96213i	0.878667	+	0.507299i	0.00844826	+	0.999964i	$0.497311\pi$
$62$	−0.489434	+	0.131144i	−0.0621582	+	0.0166552i
$63$	7.47823	−	7.47823i	0.942169	−	0.942169i
$64$	8.75941			1.09493
$65$	−0.925128			−0.114748
$66$	−1.98522	+	1.98522i	−0.244364	+	0.244364i
$67$	7.34576	−	4.24108i	0.897427	−	0.518130i	0.0210627	−	0.999778i	$-0.493295\pi$
$67$	7.34576	−	4.24108i	0.897427	−	0.518130i	0.876365	+	0.481648i	$0.159962\pi$
$68$	−0.344228	−	1.28467i	−0.0417437	−	0.155790i
$69$	−1.30869	+	2.26673i	−0.157548	+	0.272882i
$70$			7.84347i			0.937474i
$71$	3.13502	+	5.43002i	0.372059	+	0.644425i	0.989882	−	0.141892i	$-0.0453186\pi$
$71$	3.13502	+	5.43002i	0.372059	+	0.644425i	−0.617823	+	0.786317i	$0.711985\pi$
$72$	−19.6464			−2.31535
$73$	3.43862	+	7.82150i	0.402459	+	0.915438i
$73$	3.43862	+	7.82150i	0.402459	+	0.915438i
$74$	−0.739865			−0.0860075
$75$	−16.7529	−	29.0168i	−1.93445	−	3.35057i
$76$			3.51097i			0.402736i
$77$	−0.639157	+	1.10705i	−0.0728387	+	0.126160i
$78$	0.218104	+	0.813974i	0.0246954	+	0.0921644i
$79$	2.82450	−	1.63073i	0.317781	−	0.183471i	−0.332622	−	0.943060i	$-0.607933\pi$
$79$	2.82450	−	1.63073i	0.317781	−	0.183471i	0.650403	+	0.759589i	$0.274600\pi$
$80$	6.96321	−	6.96321i	0.778511	−	0.778511i
$81$	12.6407			1.40453
$82$	−0.247017			−0.0272784
$83$	3.07888	−	3.07888i	0.337950	−	0.337950i	−0.517645	−	0.855595i	$-0.673191\pi$
$83$	3.07888	−	3.07888i	0.337950	−	0.337950i	0.855595	+	0.517645i	$0.173191\pi$
$84$	−2.89872	+	0.776710i	−0.316277	+	0.0847461i
$85$	−7.77218	−	4.48727i	−0.843012	−	0.486713i
$86$	0.0136620	−	0.0509872i	0.00147321	−	0.00549809i
$87$	10.9606	+	2.93687i	1.17510	+	0.314866i
$88$	2.29378	−	0.614615i	0.244517	−	0.0655182i
$89$	−6.67538	−	11.5621i	−0.707589	−	1.22558i	−0.965749	−	0.259478i	$-0.916449\pi$
$89$	−6.67538	−	11.5621i	−0.707589	−	1.22558i	0.258160	−	0.966102i	$-0.416884\pi$
$90$	−21.3986	+	21.3986i	−2.25561	+	2.25561i
$91$	0.191845	+	0.332286i	0.0201109	+	0.0348330i
$92$	0.437659	−	0.252683i	0.0456291	−	0.0263440i
$93$	−1.26361	−	0.338582i	−0.131030	−	0.0351094i
$94$	−6.17923	−	6.17923i	−0.637339	−	0.637339i
$95$	16.7523	+	16.7523i	1.71875	+	1.71875i
$96$	8.55382	+	4.93855i	0.873020	+	0.504038i
$97$		−	2.46545i		−	0.250329i	−0.992136	−	0.125164i	$-0.960054\pi$
$97$		−	2.46545i		−	0.250329i	0.992136	−	0.125164i	$-0.0399458\pi$
$98$	−4.37718	+	2.52717i	−0.442162	+	0.255282i
$99$	−4.76401	+	1.27651i	−0.478801	+	0.128294i
$100$			6.46928i			0.646928i
$101$	−1.35342	−	5.05101i	−0.134670	−	0.502595i	−0.999999	−	0.00139078i	$-0.999557\pi$
$101$	−1.35342	−	5.05101i	−0.134670	−	0.502595i	0.865329	−	0.501204i	$-0.167109\pi$
$102$	−2.11580	+	7.89626i	−0.209495	+	0.781846i
$103$	−0.405425	−	0.405425i	−0.0399477	−	0.0399477i	0.686851	−	0.726798i	$-0.258993\pi$
$103$	−0.405425	−	0.405425i	−0.0399477	−	0.0399477i	−0.726798	+	0.686851i	$0.758993\pi$
$104$	0.184479	−	0.688485i	0.0180896	−	0.0675115i
$105$	−10.1250	+	17.5370i	−0.988101	+	1.71144i
$106$	3.80317	+	14.1936i	0.369396	+	1.37861i
$107$	7.13010	+	1.91050i	0.689292	+	0.184695i	0.586430	−	0.810000i	$-0.300533\pi$
$107$	7.13010	+	1.91050i	0.689292	+	0.184695i	0.102863	+	0.994696i	$0.467200\pi$
$108$	−5.31804	−	3.07037i	−0.511729	−	0.295447i
$109$	6.29756	−	10.9077i	0.603197	−	1.04477i	−0.389137	−	0.921180i	$-0.627227\pi$
$109$	6.29756	−	10.9077i	0.603197	−	1.04477i	0.992334	−	0.123588i	$-0.0394400\pi$
$110$	1.82891	−	3.16777i	0.174380	−	0.302035i
$111$	−1.65425	−	0.955080i	−0.157014	−	0.0906522i
$112$	−3.94501	−	1.05706i	−0.372768	−	0.0998829i
$113$	3.86135	+	14.4108i	0.363246	+	1.35565i	0.869784	+	0.493433i	$0.164258\pi$
$113$	3.86135	+	14.4108i	0.363246	+	1.35565i	−0.506538	+	0.862218i	$0.669075\pi$
$114$	10.7901	−	18.6890i	1.01058	−	1.75038i
$115$	0.882601	−	3.29391i	0.0823030	−	0.307159i
$116$	−1.54921	−	1.54921i	−0.143841	−	0.143841i
$117$	−0.383150	+	1.42993i	−0.0354222	+	0.132197i
$118$	−4.31320	−	16.0971i	−0.397062	−	1.48186i
$119$			3.72213i			0.341207i
$120$	36.3362	−	9.73624i	3.31702	−	0.888793i
$121$	−9.01000	+	5.20193i	−0.819091	+	0.472902i
$122$			9.40423i			0.851419i
$123$	−0.552299	−	0.318870i	−0.0497991	−	0.0287515i
$124$	0.178604	+	0.178604i	0.0160391	+	0.0160391i
$125$	16.7541	+	16.7541i	1.49853	+	1.49853i
$126$	12.1233	+	3.24844i	1.08003	+	0.289394i
$127$	−7.73747	+	4.46723i	−0.686590	+	0.396403i	−0.802333	−	0.596876i	$-0.796408\pi$
$127$	−7.73747	+	4.46723i	−0.686590	+	0.396403i	0.115744	+	0.993279i	$0.463075\pi$
$128$	1.97404	+	3.41913i	0.174482	+	0.302211i
$129$	0.0963650	−	0.0963650i	0.00848447	−	0.00848447i
$130$	−0.548955	−	0.950818i	−0.0481465	−	0.0833923i
$131$	−6.46427	+	1.73210i	−0.564786	+	0.151334i	−0.529904	−	0.848058i	$-0.677772\pi$
$131$	−6.46427	+	1.73210i	−0.564786	+	0.151334i	−0.0348817	+	0.999391i	$0.511105\pi$
$132$	1.35183	+	0.362221i	0.117662	+	0.0315273i
$133$	2.54311	−	9.49103i	0.220516	−	0.822976i
$134$	8.71769	+	5.03316i	0.753094	+	0.434799i
$135$	−40.0247	+	10.7246i	−3.44478	+	0.923025i
$136$	4.88929	−	4.88929i	0.419253	−	0.419253i
$137$	−9.01008			−0.769783			−0.384891	−	0.922962i	$-0.625761\pi$
$137$	−9.01008			−0.769783			−0.384891	+	0.922962i	$0.625761\pi$
$138$	−3.10623			−0.264420
$139$	10.5438	−	10.5438i	0.894315	−	0.894315i	−0.100611	−	0.994926i	$-0.532080\pi$
$139$	10.5438	−	10.5438i	0.894315	−	0.894315i	0.994926	+	0.100611i	$0.0320798\pi$
$140$	3.38605	−	1.95494i	0.286173	−	0.165222i
$141$	−5.83933	−	21.7927i	−0.491760	−	1.83527i
$142$	−3.72054	+	6.44416i	−0.312221	+	0.540782i
$143$		−	0.178935i		−	0.0149633i
$144$	−7.87889	−	13.6466i	−0.656574	−	1.13722i
$145$	−14.7839			−1.22774
$146$	−5.99828	+	8.17525i	−0.496422	+	0.676588i
$147$	−13.0491			−1.07627
$148$	0.184407	+	0.319402i	0.0151581	+	0.0262547i
$149$		−	18.9362i		−	1.55132i	−0.631153	−	0.775658i	$-0.717418\pi$
$149$		−	18.9362i		−	1.55132i	0.631153	−	0.775658i	$-0.282582\pi$
$150$	19.8817	−	34.4361i	1.62333	−	2.81170i
$151$	−1.74227	−	6.50225i	−0.141784	−	0.529146i	−0.999877	−	0.0156521i	$-0.995018\pi$
$151$	−1.74227	−	6.50225i	−0.141784	−	0.529146i	0.858093	−	0.513494i	$-0.171649\pi$
$152$	−15.8077	+	9.12659i	−1.28218	+	0.740265i
$153$	−10.1547	+	10.1547i	−0.820960	+	0.820960i
$154$	−1.51706			−0.122248
$155$	1.70439			0.136900
$156$	0.297034	−	0.297034i	0.0237818	−	0.0237818i
$157$	−14.3776	+	3.85247i	−1.14746	+	0.307461i	−0.781947	−	0.623345i	$-0.785773\pi$
$157$	−14.3776	+	3.85247i	−1.14746	+	0.307461i	−0.365513	+	0.930806i	$0.619106\pi$
$158$	3.35202	+	1.93529i	0.266672	+	0.153963i
$159$	−9.81890	+	36.6446i	−0.778689	+	2.90611i
$160$	−12.4300	−	3.33062i	−0.982682	−	0.263309i
$161$	−1.36613	+	0.366053i	−0.107666	+	0.0288490i
$162$	7.50080	+	12.9918i	0.589319	+	1.02073i
$163$	8.27062	−	8.27062i	0.647805	−	0.647805i	−0.304657	−	0.952462i	$-0.598542\pi$
$163$	8.27062	−	8.27062i	0.647805	−	0.647805i	0.952462	+	0.304657i	$0.0985418\pi$
$164$	0.0615673	+	0.106638i	0.00480760	+	0.00832701i
$165$	8.17846	−	4.72183i	0.636692	−	0.367594i
$166$	4.99132	+	1.33742i	0.387402	+	0.103804i
$167$	16.7003	+	16.7003i	1.29231	+	1.29231i	0.933355	+	0.358955i	$0.116867\pi$
$167$	16.7003	+	16.7003i	1.29231	+	1.29231i	0.358955	+	0.933355i	$0.383133\pi$
$168$	−11.0321	−	11.0321i	−0.851148	−	0.851148i
$169$	11.2118	+	6.47315i	0.862448	+	0.497934i
$170$		−	10.6507i		−	0.816870i
$171$	32.8315	−	18.9553i	2.51069	−	1.44955i
$172$	−0.0254165	+	0.00681032i	−0.00193799	+	0.000519282i
$173$		−	13.6001i		−	1.03400i	−0.855986	−	0.517000i	$-0.827049\pi$
$173$		−	13.6001i		−	1.03400i	0.855986	−	0.517000i	$-0.172951\pi$
$174$	3.48538	+	13.0076i	0.264226	+	0.986104i
$175$	4.68591	−	17.4881i	0.354222	−	1.32197i
$176$	1.34680	+	1.34680i	0.101519	+	0.101519i
$177$	11.1357	−	41.5590i	0.837010	−	3.12376i
$178$	7.92211	−	13.7215i	0.593787	−	1.02847i
$179$	1.13820	+	4.24783i	0.0850732	+	0.317498i	0.995328	−	0.0965509i	$-0.0307811\pi$
$179$	1.13820	+	4.24783i	0.0850732	+	0.317498i	−0.910255	+	0.414048i	$0.864114\pi$
$180$	14.5713	+	3.90436i	1.08608	+	0.291014i
$181$	2.19345	+	1.26639i	0.163038	+	0.0941299i	0.579299	−	0.815115i	$-0.303326\pi$
$181$	2.19345	+	1.26639i	0.163038	+	0.0941299i	−0.416261	+	0.909245i	$0.636660\pi$
$182$	−0.227675	+	0.394345i	−0.0168764	+	0.0292308i
$183$	−12.1398	+	21.0267i	−0.897398	+	1.55434i
$184$	2.27535	+	1.31367i	0.167741	+	0.0968452i
$185$	2.40388	+	0.644118i	0.176737	+	0.0473565i
$186$	−0.401818	−	1.49960i	−0.0294627	−	0.109956i
$187$	0.867914	−	1.50327i	0.0634682	−	0.109930i
$188$	−1.12746	+	4.20772i	−0.0822282	+	0.306880i
$189$	12.1520	+	12.1520i	0.883930	+	0.883930i
$190$	−7.27698	+	27.1581i	−0.527928	+	1.97025i
$191$	−3.06912	−	11.4541i	−0.222074	−	0.828791i	−0.983556	−	0.180605i	$-0.942194\pi$
$191$	−3.06912	−	11.4541i	−0.222074	−	0.828791i	0.761482	−	0.648186i	$-0.224472\pi$
$192$			26.8384i			1.93690i
$193$	−12.3581	+	3.31134i	−0.889556	+	0.238356i	−0.674525	−	0.738252i	$-0.735652\pi$
$193$	−12.3581	+	3.31134i	−0.889556	+	0.238356i	−0.215030	+	0.976607i	$0.568985\pi$
$194$	2.53392	−	1.46296i	0.181925	−	0.105034i
$195$		−	2.83455i		−	0.202986i
$196$	2.18197	+	1.25976i	0.155855	+	0.0899829i
$197$	−9.70591	−	9.70591i	−0.691517	−	0.691517i	0.271048	−	0.962566i	$-0.412630\pi$
$197$	−9.70591	−	9.70591i	−0.691517	−	0.691517i	−0.962566	+	0.271048i	$0.912630\pi$
$198$	−4.13884	−	4.13884i	−0.294135	−	0.294135i
$199$	1.52168	+	0.407732i	0.107869	+	0.0289034i	0.312350	−	0.949967i	$-0.398884\pi$
$199$	1.52168	+	0.407732i	0.107869	+	0.0289034i	−0.204481	+	0.978871i	$0.565551\pi$
$200$	−29.1271	+	16.8166i	−2.05960	+	1.18911i
$201$	12.9945	+	22.5071i	0.916559	+	1.58753i
$202$	4.38818	−	4.38818i	0.308751	−	0.308751i
$203$	3.06576	+	5.31005i	0.215174	+	0.372692i
$204$	3.93619	−	1.05470i	0.275588	−	0.0738436i
$205$	0.802578	+	0.215050i	0.0560544	+	0.0150197i
$206$	0.176111	−	0.657255i	0.0122702	−	0.0457931i
$207$	−4.72573	−	2.72840i	−0.328461	−	0.189637i
$208$	0.552212	−	0.147965i	0.0382890	−	0.0102595i
$209$	−3.24018	+	3.24018i	−0.224128	+	0.224128i
$210$	−24.0320			−1.65837
$211$	−21.3745			−1.47148			−0.735740	−	0.677264i	$-0.763166\pi$
$211$	−21.3745			−1.47148			−0.735740	+	0.677264i	$0.763166\pi$
$212$	5.17951	−	5.17951i	0.355730	−	0.355730i
$213$	−16.6373	+	9.60557i	−1.13997	+	0.658163i
$214$	2.26732	+	8.46175i	0.154991	+	0.578433i
$215$	−0.0887778	+	0.153768i	−0.00605459	+	0.0104869i
$216$		−	31.9252i		−	2.17223i
$217$	−0.353441	−	0.612178i	−0.0239932	−	0.0415574i
$218$	14.9475			1.01237
$219$	−23.9647	+	10.5358i	−1.61939	+	0.711941i
$220$	−1.82338			−0.122932
$221$	−0.260507	−	0.451212i	−0.0175236	−	0.0303518i
$222$		−	2.26691i		−	0.152145i
$223$	−4.32289	+	7.48747i	−0.289482	+	0.501398i	−0.973686	−	0.227893i	$-0.926817\pi$
$223$	−4.32289	+	7.48747i	−0.289482	+	0.501398i	0.684204	+	0.729291i	$0.260150\pi$
$224$	1.38135	+	5.15528i	0.0922955	+	0.344452i
$225$	60.4950	−	34.9268i	4.03300	−	2.32845i
$226$	−12.5197	+	12.5197i	−0.832797	+	0.832797i
$227$	7.10634			0.471665			0.235832	−	0.971794i	$-0.424218\pi$
$227$	7.10634			0.471665			0.235832	+	0.971794i	$0.424218\pi$
$228$	−10.7575			−0.712430
$229$	7.76309	−	7.76309i	0.512999	−	0.512999i	−0.402445	−	0.915444i	$-0.631839\pi$
$229$	7.76309	−	7.76309i	0.512999	−	0.512999i	0.915444	+	0.402445i	$0.131839\pi$
$230$	3.90910	−	1.04744i	0.257758	−	0.0690662i
$231$	−3.39196	−	1.95835i	−0.223175	−	0.128850i
$232$	2.94804	−	11.0022i	0.193548	−	0.722332i
$233$	−16.4204	−	4.39984i	−1.07574	−	0.288243i	−0.322889	−	0.946437i	$-0.604654\pi$
$233$	−16.4204	−	4.39984i	−1.07574	−	0.288243i	−0.752848	+	0.658194i	$0.771321\pi$
$234$	−1.69700	+	0.454709i	−0.110936	+	0.0297252i
$235$	14.6973	+	25.4564i	0.958743	+	1.66059i
$236$	−5.87412	+	5.87412i	−0.382373	+	0.382373i
$237$	4.99647	+	8.65414i	0.324556	+	0.562147i
$238$	−3.82549	+	2.20865i	−0.247970	+	0.143165i
$239$	−13.4752	−	3.61066i	−0.871635	−	0.233554i	−0.204841	−	0.978795i	$-0.565668\pi$
$239$	−13.4752	−	3.61066i	−0.871635	−	0.233554i	−0.666795	+	0.745241i	$0.732334\pi$
$240$	21.3350	+	21.3350i	1.37717	+	1.37717i
$241$	−1.86086	−	1.86086i	−0.119868	−	0.119868i	0.644628	−	0.764496i	$-0.277012\pi$
$241$	−1.86086	−	1.86086i	−0.119868	−	0.119868i	−0.764496	+	0.644628i	$0.777012\pi$
$242$	−10.6928	−	6.17347i	−0.687357	−	0.396846i
$243$			7.59033i			0.486920i
$244$	4.05983	−	2.34395i	0.259904	−	0.150056i
$245$	16.4219	−	4.40025i	1.04916	−	0.281121i
$246$		−	0.756847i		−	0.0482548i
$247$	0.355979	+	1.32853i	0.0226504	+	0.0845324i
$248$	−0.339870	+	1.26841i	−0.0215818	+	0.0805443i
$249$	9.43353	+	9.43353i	0.597826	+	0.597826i
$250$	−7.27774	+	27.1609i	−0.460285	+	1.71781i
$251$	−12.0595	+	20.8877i	−0.761190	+	1.31842i	0.181048	+	0.983474i	$0.442051\pi$
$251$	−12.0595	+	20.8877i	−0.761190	+	1.31842i	−0.942238	+	0.334945i	$0.891282\pi$
$252$	−1.61931	−	6.04334i	−0.102007	−	0.380694i
$253$	0.637098	+	0.170710i	0.0400540	+	0.0107324i
$254$	−9.18256	−	5.30156i	−0.576165	−	0.332649i
$255$	13.7488	−	23.8136i	0.860983	−	1.49127i
$256$	6.41669	−	11.1140i	0.401043	−	0.694627i
$257$	14.8748	+	8.58794i	0.927861	+	0.535701i	0.886135	−	0.463428i	$-0.153381\pi$
$257$	14.8748	+	8.58794i	0.927861	+	0.535701i	0.0417269	+	0.999129i	$0.486714\pi$
$258$	0.156222	+	0.0418597i	0.00972598	+	0.00260607i
$259$	−0.267144	−	0.996994i	−0.0165995	−	0.0619502i
$260$	−0.273647	+	0.473971i	−0.0169709	+	0.0293944i
$261$	−6.12287	+	22.8509i	−0.378996	+	1.41443i
$262$	−5.61598	−	5.61598i	−0.346956	−	0.346956i
$263$	2.68132	−	10.0068i	0.165337	−	0.617047i	−0.832660	−	0.553785i	$-0.813183\pi$
$263$	2.68132	−	10.0068i	0.165337	−	0.617047i	0.997997	−	0.0632623i	$-0.0201505\pi$
$264$	1.88315	+	7.02802i	0.115900	+	0.432545i
$265$		−	49.4272i		−	3.03629i
$266$	11.2636	−	3.01808i	0.690617	−	0.185050i
$267$	35.4257	−	20.4531i	2.16802	−	1.25171i
$268$		−	5.01794i		−	0.306519i
$269$	−10.6167	−	6.12954i	−0.647310	−	0.373725i	0.140115	−	0.990135i	$-0.455253\pi$
$269$	−10.6167	−	6.12954i	−0.647310	−	0.373725i	−0.787425	+	0.616411i	$0.788586\pi$
$270$	−34.7724	−	34.7724i	−2.11618	−	2.11618i
$271$	−19.8278	−	19.8278i	−1.20445	−	1.20445i	−0.972799	−	0.231651i	$-0.925587\pi$
$271$	−19.8278	−	19.8278i	−1.20445	−	1.20445i	−0.231651	−	0.972799i	$-0.574413\pi$
$272$	5.35694	+	1.43539i	0.324812	+	0.0870331i
$273$	−1.01811	+	0.587805i	−0.0616187	+	0.0355756i
$274$	−5.34642	−	9.26028i	−0.322989	−	0.559434i
$275$	−5.97032	+	5.97032i	−0.360024	+	0.360024i
$276$	0.774208	+	1.34097i	0.0466018	+	0.0807167i
$277$	−10.5422	+	2.82478i	−0.633421	+	0.169725i	−0.561222	−	0.827666i	$-0.689668\pi$
$277$	−10.5422	+	2.82478i	−0.633421	+	0.169725i	−0.0721995	+	0.997390i	$0.523002\pi$
$278$	17.0931	+	4.58009i	1.02518	+	0.274695i
$279$	0.705886	−	2.63440i	0.0422603	−	0.157718i
$280$	17.6037	+	10.1635i	1.05202	+	0.607387i
$281$	11.9968	−	3.21452i	0.715667	−	0.191762i	0.117430	−	0.993081i	$-0.462535\pi$
$281$	11.9968	−	3.21452i	0.715667	−	0.191762i	0.598238	+	0.801319i	$0.295868\pi$
$282$	18.9329	−	18.9329i	1.12744	−	1.12744i
$283$	30.8030			1.83105			0.915524	−	0.402264i	$-0.131777\pi$
$283$	30.8030			1.83105			0.915524	+	0.402264i	$0.131777\pi$
$284$	3.70928			0.220105
$285$	−51.3283	+	51.3283i	−3.04043	+	3.04043i
$286$	0.183904	−	0.106177i	0.0108745	−	0.00627839i
$287$	−0.0891905	−	0.332864i	−0.00526475	−	0.0196483i
$288$	−10.2960	+	17.8332i	−0.606699	+	1.05083i
$289$			11.9457i			0.702688i
$290$	−8.77250	−	15.1944i	−0.515139	−	0.892247i
$291$	7.55403			0.442825
$292$	5.02431	+	0.551847i	0.294026	+	0.0322944i
$293$	−16.2486			−0.949255			−0.474627	−	0.880187i	$-0.657417\pi$
$293$	−16.2486			−0.949255			−0.474627	+	0.880187i	$0.657417\pi$
$294$	−7.74312	−	13.4115i	−0.451588	−	0.782173i
$295$			56.0558i			3.26370i
$296$	−0.958712	+	1.66054i	−0.0557240	+	0.0965168i
$297$	−2.07432	−	7.74145i	−0.120364	−	0.449204i
$298$	19.4621	−	11.2364i	1.12741	−	0.650909i
$299$	0.139988	−	0.139988i	0.00809571	−	0.00809571i
$300$	−19.8216			−1.14440
$301$	0.0736400			0.00424454
$302$	5.64898	−	5.64898i	0.325062	−	0.325062i
$303$	15.4761	−	4.14680i	0.889077	−	0.238228i
$304$	−12.6789	−	7.32016i	−0.727184	−	0.419840i
$305$	8.18723	−	30.5552i	0.468799	−	1.74958i
$306$	−16.4623	−	4.41107i	−0.941089	−	0.252164i
$307$	−17.9319	+	4.80484i	−1.02343	+	0.274227i	−0.731230	−	0.682131i	$-0.761053\pi$
$307$	−17.9319	+	4.80484i	−1.02343	+	0.274227i	−0.292198	+	0.956358i	$0.594387\pi$
$308$	0.378118	+	0.654919i	0.0215453	+	0.0373175i
$309$	1.24220	−	1.24220i	0.0706664	−	0.0706664i
$310$	1.01135	+	1.75172i	0.0574410	+	0.0994907i
$311$	18.7678	−	10.8356i	1.06423	−	0.614432i	0.137629	−	0.990484i	$-0.456052\pi$
$311$	18.7678	−	10.8356i	1.06423	−	0.614432i	0.926598	+	0.376052i	$0.122719\pi$
$312$	2.10949	+	0.565235i	0.119426	+	0.0320001i
$313$	15.9104	+	15.9104i	0.899307	+	0.899307i	0.995375	−	0.0960682i	$-0.0306267\pi$
$313$	15.9104	+	15.9104i	0.899307	+	0.899307i	−0.0960682	+	0.995375i	$0.530627\pi$
$314$	−12.4909	−	12.4909i	−0.704902	−	0.704902i
$315$	−36.5617	−	21.1089i	−2.06002	−	1.18935i
$316$		−	1.92944i		−	0.108539i
$317$	6.24986	−	3.60836i	0.351027	−	0.202666i	−0.314110	−	0.949386i	$-0.601706\pi$
$317$	6.24986	−	3.60836i	0.351027	−	0.202666i	0.665138	+	0.746721i	$0.268373\pi$
$318$	−43.4886	+	11.6527i	−2.43872	+	0.653453i
$319$		−	2.85945i		−	0.160099i
$320$	−9.05009	−	33.7754i	−0.505915	−	1.88810i
$321$	−5.85370	+	21.8463i	−0.326721	+	1.21934i
$322$	−1.18685	−	1.18685i	−0.0661408	−	0.0661408i
$323$	−3.45330	+	12.8879i	−0.192147	+	0.717102i
$324$	3.73906	−	6.47623i	0.207725	−	0.359791i
$325$	0.655922	+	2.44794i	0.0363840	+	0.135787i
$326$	13.4079	+	3.59265i	0.742597	+	0.198978i
$327$	33.4207	+	19.2954i	1.84817	+	1.06704i
$328$	−0.320083	+	0.554399i	−0.0176736	+	0.0306116i
$329$	6.09559	−	10.5579i	0.336061	−	0.582074i
$330$	9.70591	+	5.60371i	0.534293	+	0.308474i
$331$	23.1375	+	6.19968i	1.27175	+	0.340765i	0.830702	−	0.556717i	$-0.187939\pi$
$331$	23.1375	+	6.19968i	1.27175	+	0.340765i	0.441050	+	0.897482i	$0.354606\pi$
$332$	−0.666688	−	2.48811i	−0.0365892	−	0.136553i
$333$	1.99118	−	3.44882i	0.109116	−	0.188994i
$334$	−7.25439	+	27.0738i	−0.396943	+	1.48141i
$335$	−23.9427	−	23.9427i	−1.30813	−	1.30813i
$336$	3.23879	−	12.0873i	0.176690	−	0.659417i
$337$	−0.0449452	−	0.167738i	−0.00244832	−	0.00913726i	0.964691	−	0.263385i	$-0.0848389\pi$
$337$	−0.0449452	−	0.167738i	−0.00244832	−	0.00913726i	−0.967139	+	0.254248i	$0.918172\pi$
$338$			15.3642i			0.835703i
$339$	−44.1539	+	11.8310i	−2.39811	+	0.642572i
$340$	−4.59793	+	2.65462i	−0.249358	+	0.143967i
$341$			0.329657i			0.0178519i
$342$	38.9633	+	22.4955i	2.10689	+	1.21642i
$343$	−13.1808	−	13.1808i	−0.711698	−	0.711698i
$344$	−0.0967315	−	0.0967315i	−0.00521541	−	0.00521541i
$345$	10.0924	+	2.70425i	0.543356	+	0.145592i
$346$	13.9778	−	8.07009i	0.751451	−	0.433851i
$347$	−3.41059	−	5.90731i	−0.183090	−	0.317121i	0.759841	−	0.650109i	$-0.225277\pi$
$347$	−3.41059	−	5.90731i	−0.183090	−	0.317121i	−0.942931	+	0.332988i	$0.891943\pi$
$348$	4.74671	−	4.74671i	0.254451	−	0.254451i
$349$	12.2899	+	21.2868i	0.657865	+	1.13946i	0.981167	+	0.193161i	$0.0618738\pi$
$349$	12.2899	+	21.2868i	0.657865	+	1.13946i	−0.323302	+	0.946296i	$0.604793\pi$
$350$	20.7542	−	5.56108i	1.10936	−	0.297252i
$351$	−2.32362	−	0.622613i	−0.124026	−	0.0332326i
$352$	0.644198	−	2.40418i	0.0343359	−	0.128143i
$353$	17.7628	+	10.2554i	0.945419	+	0.545838i	0.891655	−	0.452716i	$-0.149545\pi$
$353$	17.7628	+	10.2554i	0.945419	+	0.545838i	0.0537643	+	0.998554i	$0.482878\pi$
$354$	49.3207	−	13.2155i	2.62137	−	0.702393i
$355$	17.6986	−	17.6986i	0.939342	−	0.939342i
$356$	−7.89815			−0.418601
$357$	−11.4044			−0.603587
$358$	−3.69040	+	3.69040i	−0.195044	+	0.195044i
$359$	−30.2670	+	17.4746i	−1.59743	+	0.922277i	−0.605450	+	0.795883i	$0.707007\pi$
$359$	−30.2670	+	17.4746i	−1.59743	+	0.922277i	−0.991980	+	0.126393i	$0.959660\pi$
$360$	20.2984	+	75.7546i	1.06982	+	3.99262i
$361$	8.11107	−	14.0488i	0.426899	−	0.739410i
$362$			3.00581i			0.157982i
$363$	−15.9385	−	27.6062i	−0.836553	−	1.44895i
$364$	0.226987			0.0118973
$365$	26.6062	−	21.3400i	1.39263	−	1.11699i
$366$	−28.8141			−1.50614
$367$	15.9122	+	27.5607i	0.830610	+	1.43866i	0.897555	+	0.440902i	$0.145341\pi$
$367$	15.9122	+	27.5607i	0.830610	+	1.43866i	−0.0669454	+	0.997757i	$0.521325\pi$
$368$			2.10731i			0.109851i
$369$	0.664789	−	1.15145i	0.0346075	−	0.0599420i
$370$	0.764417	+	2.85284i	0.0397402	+	0.148312i
$371$	−17.7532	+	10.2498i	−0.921699	+	0.532143i
$372$	−0.547233	+	0.547233i	−0.0283727	+	0.0283727i
$373$	22.2319			1.15112			0.575562	−	0.817758i	$-0.304783\pi$
$373$	22.2319			1.15112			0.575562	+	0.817758i	$0.304783\pi$
$374$	2.06002			0.106521
$375$	−51.3337	+	51.3337i	−2.65086	+	2.65086i
$376$	−21.8755	+	5.86153i	−1.12814	+	0.302285i
$377$	−0.743288	−	0.429137i	−0.0382813	−	0.0221017i
$378$	−5.27867	+	19.7003i	−0.271506	+	1.01327i
$379$	13.6731	+	3.66370i	0.702341	+	0.188192i	0.592279	−	0.805733i	$-0.298228\pi$
$379$	13.6731	+	3.66370i	0.702341	+	0.188192i	0.110062	+	0.993925i	$0.464895\pi$
$380$	13.5380	−	3.62748i	0.694482	−	0.186086i
$381$	−13.6874	−	23.7073i	−0.701226	−	1.21456i
$382$	9.95103	−	9.95103i	0.509139	−	0.509139i
$383$	−8.57533	−	14.8529i	−0.438179	−	0.758948i	0.559370	−	0.828918i	$-0.311043\pi$
$383$	−8.57533	−	14.8529i	−0.438179	−	0.758948i	−0.997549	+	0.0699701i	$0.977710\pi$
$384$	−10.4761	+	6.04836i	−0.534604	+	0.308654i
$385$	4.92905	+	1.32074i	0.251208	+	0.0673110i
$386$	−10.7364	−	10.7364i	−0.546468	−	0.546468i
$387$	0.200904	+	0.200904i	0.0102125	+	0.0102125i
$388$	−1.26313	−	0.729266i	−0.0641255	−	0.0370229i
$389$			11.2875i			0.572299i	0.958185	+	0.286150i	$0.0923754\pi$
$389$			11.2875i			0.572299i	−0.958185	+	0.286150i	$0.907625\pi$
$390$	2.91326	−	1.68197i	0.147519	−	0.0851700i
$391$	1.85507	−	0.497064i	0.0938149	−	0.0251376i
$392$			13.0987i			0.661586i
$393$	−5.30706	−	19.8062i	−0.267706	−	0.999092i
$394$	4.21611	−	15.7347i	0.212405	−	0.792705i
$395$	−9.20615	−	9.20615i	−0.463212	−	0.463212i
$396$	−0.755169	+	2.81833i	−0.0379487	+	0.141626i
$397$	9.30868	−	16.1231i	0.467189	−	0.809196i	−0.532108	−	0.846677i	$-0.678600\pi$
$397$	9.30868	−	16.1231i	0.467189	−	0.809196i	0.999297	+	0.0374807i	$0.0119333\pi$
$398$	0.483882	+	1.80587i	0.0242548	+	0.0905202i
$399$	29.0801	+	7.79198i	1.45582	+	0.390087i
$400$	−23.3620	−	13.4880i	−1.16810	−	0.674402i
$401$	−12.4286	+	21.5270i	−0.620655	+	1.07501i	0.368709	+	0.929545i	$0.379800\pi$
$401$	−12.4286	+	21.5270i	−0.620655	+	1.07501i	−0.989364	+	0.145462i	$0.953533\pi$
$402$	−15.4214	+	26.7106i	−0.769149	+	1.33220i
$403$	0.0856912	+	0.0494738i	0.00426858	+	0.00246447i
$404$	−2.98812	−	0.800664i	−0.148664	−	0.0398345i
$405$	−13.0602	−	48.7415i	−0.648968	−	2.42198i
$406$	−3.63834	+	6.30178i	−0.180568	+	0.312752i
$407$	−0.124583	+	0.464951i	−0.00617537	+	0.0230468i
$408$	14.9806	+	14.9806i	0.741649	+	0.741649i
$409$	−0.343413	+	1.28164i	−0.0169807	+	0.0633728i	−0.973896	−	0.226993i	$-0.927110\pi$
$409$	−0.343413	+	1.28164i	−0.0169807	+	0.0633728i	0.956916	+	0.290366i	$0.0937771\pi$
$410$	0.255214	+	0.952471i	0.0126041	+	0.0470392i
$411$		−	27.6065i		−	1.36173i
$412$	−0.327633	+	0.0877891i	−0.0161413	+	0.00432506i
$413$	20.1340	−	11.6244i	0.990731	−	0.571999i
$414$		−	6.47595i		−	0.318275i
$415$	−15.0529	−	8.69079i	−0.738917	−	0.426614i
$416$	−0.528265	−	0.528265i	−0.0259003	−	0.0259003i
$417$	32.3058	+	32.3058i	1.58202	+	1.58202i
$418$	−5.25282	−	1.40749i	−0.256924	−	0.0688426i
$419$	−20.4766	+	11.8222i	−1.00035	+	0.577550i	−0.908351	−	0.418210i	$-0.862658\pi$
$419$	−20.4766	+	11.8222i	−1.00035	+	0.577550i	−0.0919952	+	0.995759i	$0.529324\pi$
$420$	5.98984	+	10.3747i	0.292274	+	0.506234i
$421$	−7.67772	+	7.67772i	−0.374189	+	0.374189i	−0.869000	−	0.494811i	$-0.835237\pi$
$421$	−7.67772	+	7.67772i	−0.374189	+	0.374189i	0.494811	+	0.869000i	$0.335237\pi$
$422$	−12.6833	−	21.9680i	−0.617411	−	1.06939i
$423$	45.4339	−	12.1740i	2.20907	−	0.591920i
$424$	36.7840	+	9.85624i	1.78639	+	0.478661i
$425$	−6.36302	+	23.7471i	−0.308652	+	1.15190i
$426$	−19.7446	−	11.3996i	−0.956630	−	0.552310i
$427$	−12.6725	+	3.39560i	−0.613267	+	0.164324i
$428$	3.08785	−	3.08785i	0.149257	−	0.149257i
$429$	0.548250			0.0264697
$430$	−0.210717			−0.0101617
$431$	−0.842025	+	0.842025i	−0.0405589	+	0.0405589i	−0.727095	−	0.686536i	$-0.759130\pi$
$431$	−0.842025	+	0.842025i	−0.0405589	+	0.0405589i	0.686536	+	0.727095i	$0.259130\pi$
$432$	22.1756	−	12.8031i	1.06692	−	0.615989i
$433$	−5.58110	−	20.8290i	−0.268211	−	1.00098i	−0.960256	−	0.279122i	$-0.909957\pi$
$433$	−5.58110	−	20.8290i	−0.268211	−	1.00098i	0.692045	−	0.721854i	$-0.256710\pi$
$434$	0.419452	−	0.726512i	0.0201343	−	0.0348737i
$435$		−	45.2972i		−	2.17183i
$436$	−3.72556	−	6.45286i	−0.178422	−	0.309036i
$437$	−5.06984			−0.242523
$438$	−25.0486	−	18.3785i	−1.19687	−	0.878157i
$439$	8.26197			0.394322			0.197161	−	0.980371i	$-0.436828\pi$
$439$	8.26197			0.394322			0.197161	+	0.980371i	$0.436828\pi$
$440$	−4.73979	−	8.20956i	−0.225961	−	0.391375i
$441$		−	27.2052i		−	1.29548i
$442$	0.309161	−	0.535483i	0.0147053	−	0.0254703i
$443$	−2.06879	−	7.72084i	−0.0982913	−	0.366828i	0.899207	−	0.437524i	$-0.144145\pi$
$443$	−2.06879	−	7.72084i	−0.0982913	−	0.366828i	−0.997498	+	0.0706961i	$0.977478\pi$
$444$	−0.978632	+	0.565013i	−0.0464438	+	0.0268144i
$445$	−37.6854	+	37.6854i	−1.78646	+	1.78646i
$446$	−10.2605			−0.485850
$447$	58.0198			2.74424
$448$	−10.2547	+	10.2547i	−0.484487	+	0.484487i
$449$	−12.8185	+	3.43471i	−0.604943	+	0.162094i	−0.548274	−	0.836299i	$-0.684715\pi$
$449$	−12.8185	+	3.43471i	−0.604943	+	0.162094i	−0.0566695	+	0.998393i	$0.518048\pi$
$450$	71.7934	+	41.4499i	3.38437	+	1.95397i
$451$	−0.0415943	+	0.155232i	−0.00195860	+	0.00730959i
$452$	8.52523	+	2.28433i	0.400993	+	0.107446i
$453$	19.9226	−	5.33825i	0.936046	−	0.250813i
$454$	4.21678	+	7.30368i	0.197903	+	0.342779i
$455$	1.08305	−	1.08305i	0.0507741	−	0.0507741i
$456$	−27.9635	−	48.4341i	−1.30951	−	2.26814i
$457$	−24.3057	+	14.0329i	−1.13697	+	0.656432i	−0.945679	−	0.325101i	$-0.894602\pi$
$457$	−24.3057	+	14.0329i	−1.13697	+	0.656432i	−0.191294	+	0.981533i	$0.561268\pi$
$458$	12.5851	+	3.37218i	0.588065	+	0.157572i
$459$	−16.5013	−	16.5013i	−0.770214	−	0.770214i
$460$	−1.42650	−	1.42650i	−0.0665110	−	0.0665110i
$461$	26.2026	+	15.1281i	1.22038	+	0.704584i	0.964998	−	0.262257i	$-0.0844670\pi$
$461$	26.2026	+	15.1281i	1.22038	+	0.704584i	0.255377	+	0.966841i	$0.417800\pi$
$462$		−	4.64820i		−	0.216254i
$463$	−16.9123	+	9.76434i	−0.785982	+	0.453787i	−0.838546	−	0.544830i	$-0.816594\pi$
$463$	−16.9123	+	9.76434i	−0.785982	+	0.453787i	0.0525638	+	0.998618i	$0.483261\pi$
$464$	8.82455	−	2.36453i	0.409670	−	0.109771i
$465$			5.22216i			0.242172i
$466$	−5.22157	−	19.4872i	−0.241885	−	0.902726i
$467$	−5.52674	+	20.6261i	−0.255747	+	0.954460i	0.711927	+	0.702254i	$0.247823\pi$
$467$	−5.52674	+	20.6261i	−0.255747	+	0.954460i	−0.967673	+	0.252206i	$0.918844\pi$
$468$	0.619265	+	0.619265i	0.0286255	+	0.0286255i
$469$	−3.63466	+	13.5647i	−0.167833	+	0.626361i
$470$	−17.4422	+	30.2108i	−0.804549	+	1.39352i
$471$	−11.8038	−	44.0524i	−0.543891	−	2.02983i
$472$	−41.7170	−	11.1780i	−1.92018	−	0.514511i
$473$	−0.0297412	−	0.0171711i	−0.00136750	−	0.000789529i
$474$	−5.92964	+	10.2704i	−0.272357	+	0.471737i
$475$	32.4500	−	56.2050i	1.48891	−	2.57886i
$476$	1.90696	+	1.10098i	0.0874054	+	0.0504635i
$477$	−76.3977	−	20.4707i	−3.49801	−	0.937289i
$478$	−4.28500	−	15.9918i	−0.195991	−	0.731450i
$479$	11.5306	−	19.9716i	0.526848	−	0.912528i	−0.472662	−	0.881244i	$-0.656707\pi$
$479$	11.5306	−	19.9716i	0.526848	−	0.912528i	0.999511	−	0.0312842i	$-0.00995968\pi$
$480$	10.2049	−	38.0851i	0.465787	−	1.73834i
$481$	0.102163	+	0.102163i	0.00465822	+	0.00465822i
$482$	0.808332	−	3.01674i	0.0368185	−	0.137409i
$483$	−1.12157	−	4.18575i	−0.0510332	−	0.190458i
$484$			6.15479i			0.279763i
$485$	−9.50654	+	2.54727i	−0.431670	+	0.115666i
$486$	−7.80111	+	4.50397i	−0.353865	+	0.204304i
$487$			34.6332i			1.56938i	0.619889	+	0.784690i	$0.287178\pi$
$487$			34.6332i			1.56938i	−0.619889	+	0.784690i	$0.712822\pi$
$488$	21.1067	+	12.1859i	0.955455	+	0.551632i
$489$	25.3408	+	25.3408i	1.14595	+	1.14595i
$490$	14.2669	+	14.2669i	0.644515	+	0.644515i
$491$	−12.5948	−	3.37477i	−0.568396	−	0.152301i	−0.0368350	−	0.999321i	$-0.511728\pi$
$491$	−12.5948	−	3.37477i	−0.568396	−	0.152301i	−0.531561	+	0.847020i	$0.678394\pi$
$492$	−0.326733	+	0.188639i	−0.0147303	+	0.00850452i
$493$	−4.16300	−	7.21054i	−0.187492	−	0.324746i
$494$	−1.15419	+	1.15419i	−0.0519295	+	0.0519295i
$495$	9.84421	+	17.0507i	0.442464	+	0.766371i
$496$	−1.01735	+	0.272599i	−0.0456805	+	0.0122401i
$497$	−10.0271	−	2.68676i	−0.449778	−	0.120518i
$498$	−4.09780	+	15.2932i	−0.183627	+	0.685304i
$499$	0.725830	+	0.419058i	0.0324926	+	0.0187596i	0.516158	−	0.856493i	$-0.327362\pi$
$499$	0.725830	+	0.419058i	0.0324926	+	0.0187596i	−0.483666	+	0.875253i	$0.660695\pi$
$500$	13.5394	−	3.62786i	0.605499	−	0.162243i
$501$	−51.1690	+	51.1690i	−2.28606	+	2.28606i
$502$	−28.6236			−1.27754
$503$	3.32301			0.148166			0.0740829	−	0.997252i	$-0.476397\pi$
$503$	3.32301			0.148166			0.0740829	+	0.997252i	$0.476397\pi$
$504$	23.0001	−	23.0001i	1.02451	−	1.02451i
$505$	−18.0779	+	10.4373i	−0.804455	+	0.464452i
$506$	0.202593	+	0.756086i	0.00900634	+	0.0336121i
$507$	−19.8334	+	34.3525i	−0.880833	+	1.52565i
$508$			5.28552i			0.234507i
$509$	−4.44926	−	7.70635i	−0.197210	−	0.341578i	0.750413	−	0.660970i	$-0.229855\pi$
$509$	−4.44926	−	7.70635i	−0.197210	−	0.341578i	−0.947623	+	0.319392i	$0.896521\pi$
$510$	32.6332			1.44502
$511$	−13.1822	−	5.13106i	−0.583148	−	0.226985i
$512$	23.1264			1.02205
$513$	30.8021	+	53.3508i	1.35995	+	2.35549i
$514$			20.3837i			0.899088i
$515$	−1.14440	+	1.98216i	−0.0504282	+	0.0873442i
$516$	−0.0208665	−	0.0778749i	−0.000918597	−	0.00342825i
$517$	−4.92370	+	2.84270i	−0.216544	+	0.125022i
$518$	0.866161	−	0.866161i	0.0380569	−	0.0380569i
$519$	41.6702			1.82912
$520$	−2.84533			−0.124776
$521$	5.32694	−	5.32694i	0.233377	−	0.233377i	−0.580724	−	0.814101i	$-0.697230\pi$
$521$	5.32694	−	5.32694i	0.233377	−	0.233377i	0.814101	+	0.580724i	$0.197230\pi$
$522$	−27.1186	+	7.26641i	−1.18695	+	0.318042i
$523$	−9.97286	−	5.75783i	−0.436083	−	0.251772i	0.265852	−	0.964014i	$-0.414347\pi$
$523$	−9.97286	−	5.75783i	−0.436083	−	0.251772i	−0.701935	+	0.712241i	$0.747680\pi$
$524$	−1.02469	+	3.82418i	−0.0447636	+	0.167060i
$525$	53.5826	+	14.3574i	2.33854	+	0.626609i
$526$	11.8758	−	3.18210i	0.517808	−	0.138746i
$527$	0.479939	+	0.831279i	0.0209065	+	0.0362111i
$528$	−4.12654	+	4.12654i	−0.179585	+	0.179585i
$529$	−11.1351	−	19.2866i	−0.484136	−	0.838548i
$530$	50.7998	−	29.3293i	2.20660	−	1.27398i
$531$	86.6433	+	23.2160i	3.76000	+	1.00749i
$532$	−4.11030	−	4.11030i	−0.178204	−	0.178204i
$533$	0.0341088	+	0.0341088i	0.00147741	+	0.00147741i
$534$	42.0421	+	24.2730i	1.81934	+	1.05040i
$535$		−	29.4668i		−	1.27396i
$536$	22.5927	−	13.0439i	0.975855	−	0.563410i
$537$	−13.0152	+	3.48740i	−0.561645	+	0.150492i
$538$		−	14.5487i		−	0.627237i
$539$	0.851082	+	3.17628i	0.0366587	+	0.136812i
$540$	−6.34453	+	23.6781i	−0.273025	+	1.01894i
$541$	−23.5119	−	23.5119i	−1.01085	−	1.01085i	−0.999940	−	0.0109138i	$-0.996526\pi$
$541$	−23.5119	−	23.5119i	−1.01085	−	1.01085i	−0.0109138	−	0.999940i	$-0.503474\pi$
$542$	8.61290	−	32.1438i	0.369956	−	1.38069i
$543$	−3.88016	+	6.72063i	−0.166513	+	0.288410i
$544$	−1.87574	−	7.00037i	−0.0804218	−	0.300138i
$545$	−48.5655	−	13.0131i	−2.08032	−	0.557420i
$546$	−1.20826	−	0.697587i	−0.0517086	−	0.0298540i
$547$	−4.21042	+	7.29267i	−0.180025	+	0.311812i	−0.941889	−	0.335925i	$-0.890951\pi$
$547$	−4.21042	+	7.29267i	−0.180025	+	0.311812i	0.761864	+	0.647737i	$0.224284\pi$
$548$	−2.66513	+	4.61613i	−0.113849	+	0.197191i
$549$	−43.8371	−	25.3093i	−1.87092	−	1.08018i
$550$	−9.67880	−	2.59343i	−0.412705	−	0.110584i
$551$	5.68867	+	21.2304i	0.242345	+	0.904446i
$552$	−4.02503	+	6.97156i	−0.171317	+	0.296729i
$553$	−1.39755	+	5.21575i	−0.0594301	+	0.221796i
$554$	−9.15880	−	9.15880i	−0.389120	−	0.389120i
$555$	−1.97355	+	7.36539i	−0.0837725	+	0.312643i
$556$	−2.28312	−	8.52071i	−0.0968257	−	0.361359i
$557$			28.1117i			1.19113i	0.803307	+	0.595565i	$0.203072\pi$
$557$			28.1117i			1.19113i	−0.803307	+	0.595565i	$0.796928\pi$
$558$	3.12642	−	0.837721i	0.132352	−	0.0354636i
$559$	−0.00892694	+	0.00515397i	−0.000377569	+	0.000217990i
$560$			16.3037i			0.688957i
$561$	4.60595	+	2.65925i	0.194464	+	0.112274i
$562$	10.4225	+	10.4225i	0.439645	+	0.439645i
$563$	−4.27964	−	4.27964i	−0.180365	−	0.180365i	0.611150	−	0.791515i	$-0.290707\pi$
$563$	−4.27964	−	4.27964i	−0.180365	−	0.180365i	−0.791515	+	0.611150i	$0.790707\pi$
$564$	−12.8923	−	3.45447i	−0.542863	−	0.145460i
$565$	51.5770	−	29.7780i	2.16986	−	1.25277i
$566$	18.2780	+	31.6584i	0.768280	+	1.33070i
$567$	−14.7986	+	14.7986i	−0.621481	+	0.621481i
$568$	9.64210	+	16.7006i	0.404574	+	0.700742i
$569$	11.1140	−	2.97798i	0.465922	−	0.124843i	−0.0182181	−	0.999834i	$-0.505799\pi$
$569$	11.1140	−	2.97798i	0.465922	−	0.124843i	0.484140	+	0.874991i	$0.339133\pi$
$570$	−83.2110	−	22.2963i	−3.48533	−	0.933891i
$571$	−6.79996	+	25.3778i	−0.284570	+	1.06203i	0.664584	+	0.747214i	$0.268609\pi$
$571$	−6.79996	+	25.3778i	−0.284570	+	1.06203i	−0.949153	+	0.314814i	$0.898058\pi$
$572$	−0.0916739	−	0.0529280i	−0.00383308	−	0.00221303i
$573$	35.0949	−	9.40365i	1.46611	−	0.392843i
$574$	0.289183	−	0.289183i	0.0120703	−	0.0120703i
$575$	−9.34163			−0.389573
$576$	−55.9535			−2.33139
$577$	12.3684	−	12.3684i	0.514904	−	0.514904i	−0.401121	−	0.916025i	$-0.631379\pi$
$577$	12.3684	−	12.3684i	0.514904	−	0.514904i	0.916025	+	0.401121i	$0.131379\pi$
$578$	−12.2774	+	7.08837i	−0.510674	+	0.294838i
$579$	−10.1458	−	37.8647i	−0.421645	−	1.57360i
$580$	−4.37298	+	7.57423i	−0.181578	+	0.314503i
$581$			7.20889i			0.299075i
$582$	4.48243	+	7.76380i	0.185803	+	0.321820i
$583$	9.56006			0.395937
$584$	10.5758	+	24.0559i	0.437631	+	0.995439i
$585$	5.90955			0.244330
$586$	−9.64165	−	16.6998i	−0.398293	−	0.689864i
$587$			13.8629i			0.572185i	0.958202	+	0.286093i	$0.0923565\pi$
$587$			13.8629i			0.572185i	−0.958202	+	0.286093i	$0.907644\pi$
$588$	−3.85985	+	6.68545i	−0.159177	+	0.275703i
$589$	−0.655828	−	2.44758i	−0.0270229	−	0.100851i
$590$	−57.6124	+	33.2626i	−2.37187	+	1.36940i
$591$	29.7385	−	29.7385i	1.22328	−	1.22328i
$592$	−1.53791			−0.0632076
$593$	−0.151268			−0.00621184			−0.00310592	−	0.999995i	$-0.500989\pi$
$593$	−0.151268			−0.00621184			−0.00310592	+	0.999995i	$0.500989\pi$
$594$	6.72556	−	6.72556i	0.275953	−	0.275953i
$595$	14.3522	−	3.84565i	0.588382	−	0.157656i
$596$	−9.70160	−	5.60122i	−0.397393	−	0.229435i
$597$	−1.24927	+	4.66235i	−0.0511293	+	0.190817i
$598$	0.226942	+	0.0608089i	0.00928034	+	0.00248666i
$599$	4.26336	−	1.14236i	0.174196	−	0.0466757i	−0.170667	−	0.985329i	$-0.554592\pi$
$599$	4.26336	−	1.14236i	0.174196	−	0.0466757i	0.344863	+	0.938653i	$0.387925\pi$
$600$	−51.5252	−	89.2442i	−2.10351	−	3.64338i
$601$	−21.3058	+	21.3058i	−0.869083	+	0.869083i	−0.992371	−	0.123288i	$-0.960656\pi$
$601$	−21.3058	+	21.3058i	−0.869083	+	0.869083i	0.123288	+	0.992371i	$0.460656\pi$
$602$	0.0436967	+	0.0756849i	0.00178094	+	0.00308469i
$603$	−46.9234	+	27.0912i	−1.91087	+	1.10324i
$604$	−3.84665	−	1.03071i	−0.156518	−	0.0419389i
$605$	29.3671	+	29.3671i	1.19394	+	1.19394i
$606$	13.4452	+	13.4452i	0.546174	+	0.546174i
$607$	3.60784	+	2.08299i	0.146438	+	0.0845458i	0.571429	−	0.820652i	$-0.306389\pi$
$607$	3.60784	+	2.08299i	0.146438	+	0.0845458i	−0.424991	+	0.905198i	$0.639723\pi$
$608$			19.1318i			0.775895i
$609$	−16.2698	+	9.39335i	−0.659284	+	0.380638i
$610$	36.2618	−	9.71632i	1.46820	−	0.393402i
$611$			1.70649i			0.0690372i
$612$	2.19886	+	8.20627i	0.0888838	+	0.331719i
$613$	6.62940	−	24.7412i	0.267759	−	0.999289i	−0.692781	−	0.721148i	$-0.743615\pi$
$613$	6.62940	−	24.7412i	0.267759	−	0.999289i	0.960540	−	0.278142i	$-0.0897184\pi$
$614$	−15.5788	−	15.5788i	−0.628707	−	0.628707i
$615$	−0.658903	+	2.45906i	−0.0265695	+	0.0991589i
$616$	−1.96580	+	3.40486i	−0.0792042	+	0.137186i
$617$	−1.23884	−	4.62342i	−0.0498739	−	0.186132i	0.936495	−	0.350681i	$-0.114050\pi$
$617$	−1.23884	−	4.62342i	−0.0498739	−	0.186132i	−0.986369	+	0.164549i	$0.947383\pi$
$618$	2.01380	+	0.539596i	0.0810068	+	0.0217057i
$619$	−4.29931	−	2.48221i	−0.172804	−	0.0997683i	0.411103	−	0.911589i	$-0.365143\pi$
$619$	−4.29931	−	2.48221i	−0.172804	−	0.0997683i	−0.583907	+	0.811820i	$0.698477\pi$
$620$	0.504147	−	0.873208i	0.0202470	−	0.0350689i
$621$	4.43362	−	7.67925i	0.177915	−	0.308158i
$622$	22.2730	+	12.8593i	0.893067	+	0.515613i
$623$	21.3507	+	5.72089i	0.855396	+	0.229203i
$624$	0.453357	+	1.69195i	0.0181488	+	0.0677323i
$625$	19.9534	−	34.5602i	0.798135	−	1.38241i
$626$	−6.91124	+	25.7931i	−0.276229	+	1.03090i
$627$	−9.92777	−	9.92777i	−0.396477	−	0.396477i
$628$	−2.27908	+	8.50563i	−0.0909450	+	0.339412i
$629$	0.362755	+	1.35382i	0.0144640	+	0.0539804i
$630$		−	50.1027i		−	1.99614i
$631$	16.7045	−	4.47597i	0.664997	−	0.178185i	0.0894970	−	0.995987i	$-0.471474\pi$
$631$	16.7045	−	4.47597i	0.664997	−	0.178185i	0.575500	+	0.817802i	$0.304807\pi$
$632$	8.68706	−	5.01547i	0.345553	−	0.199505i
$633$		−	65.4905i		−	2.60301i
$634$	7.41712	+	4.28228i	0.294572	+	0.170071i
$635$	25.2194	+	25.2194i	1.00080	+	1.00080i
$636$	15.8698	+	15.8698i	0.629277	+	0.629277i
$637$	0.953372	+	0.255455i	0.0377740	+	0.0101215i
$638$	2.93886	−	1.69675i	0.116350	−	0.0671750i
$639$	−20.0260	−	34.6860i	−0.792215	−	1.37216i
$640$	11.1443	−	11.1443i	0.440517	−	0.440517i
$641$	−3.13613	−	5.43194i	−0.123870	−	0.214549i	0.797421	−	0.603424i	$-0.206197\pi$
$641$	−3.13613	−	5.43194i	−0.123870	−	0.214549i	−0.921291	+	0.388875i	$0.872864\pi$
$642$	−25.9264	+	6.94696i	−1.02323	+	0.274175i
$643$	6.53924	+	1.75219i	0.257883	+	0.0690994i	0.385444	−	0.922731i	$-0.374048\pi$
$643$	6.53924	+	1.75219i	0.257883	+	0.0690994i	−0.127561	+	0.991831i	$0.540715\pi$
$644$	−0.216552	+	0.808184i	−0.00853336	+	0.0318469i
$645$	−0.471137	−	0.272011i	−0.0185510	−	0.0107104i
$646$	−15.2949	+	4.09826i	−0.601770	+	0.161244i
$647$	21.3325	−	21.3325i	0.838665	−	0.838665i	−0.150018	−	0.988683i	$-0.547933\pi$
$647$	21.3325	−	21.3325i	0.838665	−	0.838665i	0.988683	+	0.150018i	$0.0479332\pi$
$648$	38.8780			1.52727
$649$	−10.8421			−0.425591
$650$	−2.12670	+	2.12670i	−0.0834160	+	0.0834160i
$651$	1.87569	−	1.08293i	0.0735139	−	0.0424433i
$652$	−1.79089	−	6.68369i	−0.0701366	−	0.261753i
$653$	9.27013	−	16.0563i	0.362768	−	0.628333i	−0.625647	−	0.780106i	$-0.715165\pi$
$653$	9.27013	−	16.0563i	0.362768	−	0.628333i	0.988415	+	0.151773i	$0.0484984\pi$
$654$			45.7983i			1.79086i
$655$	13.3576	+	23.1360i	0.521924	+	0.903999i
$656$	−0.513456			−0.0200471
$657$	−21.9652	−	49.9623i	−0.856946	−	1.94922i
$658$	14.4681			0.564024
$659$	−19.4510	−	33.6902i	−0.757705	−	1.31238i	−0.944018	−	0.329893i	$-0.892987\pi$
$659$	−19.4510	−	33.6902i	−0.757705	−	1.31238i	0.186313	−	0.982490i	$-0.440346\pi$
$660$		−	5.58676i		−	0.217464i
$661$	−8.25812	+	14.3035i	−0.321204	+	0.556341i	−0.980737	−	0.195334i	$-0.937421\pi$
$661$	−8.25812	+	14.3035i	−0.321204	+	0.556341i	0.659533	+	0.751676i	$0.270754\pi$
$662$	7.35756	+	27.4588i	0.285960	+	1.06722i
$663$	1.38249	−	0.798183i	0.0536916	−	0.0309989i
$664$	9.46941	−	9.46941i	0.367484	−	0.367484i
$665$	−39.2240			−1.52104
$666$	4.72612			0.183133
$667$	2.23706	−	2.23706i	0.0866193	−	0.0866193i
$668$	13.4959	−	3.61622i	0.522173	−	0.139916i
$669$	−22.9413	−	13.2452i	−0.886961	−	0.512087i
$670$	10.4004	−	38.8148i	0.401802	−	1.49954i
$671$	5.90988	+	1.58355i	0.228148	+	0.0611322i
$672$	−15.7955	+	4.23240i	−0.609326	+	0.163268i
$673$	15.8919	+	27.5256i	0.612588	+	1.06103i	0.990803	+	0.135316i	$0.0432049\pi$
$673$	15.8919	+	27.5256i	0.612588	+	1.06103i	−0.378214	+	0.925718i	$0.623462\pi$
$674$	0.145726	−	0.145726i	0.00561316	−	0.00561316i
$675$	56.7556	+	98.3036i	2.18452	+	3.78371i
$676$	6.63277	−	3.82943i	0.255107	−	0.147286i
$677$	10.5921	+	2.83813i	0.407086	+	0.109078i	0.456550	−	0.889698i	$-0.349085\pi$
$677$	10.5921	+	2.83813i	0.407086	+	0.109078i	−0.0494645	+	0.998776i	$0.515751\pi$
$678$	−38.3597	−	38.3597i	−1.47320	−	1.47320i
$679$	2.88631	+	2.88631i	0.110766	+	0.110766i
$680$	−23.9042	−	13.8011i	−0.916684	−	0.529247i
$681$			21.7735i			0.834363i
$682$	−0.338811	+	0.195613i	−0.0129738	+	0.00749040i
$683$	−8.44535	+	2.26292i	−0.323152	+	0.0865884i	−0.416748	−	0.909022i	$-0.636830\pi$
$683$	−8.44535	+	2.26292i	−0.323152	+	0.0865884i	0.0935962	+	0.995610i	$0.470164\pi$
$684$		−	22.4274i		−	0.857534i
$685$	9.30908	+	34.7420i	0.355682	+	1.32742i
$686$	5.72557	−	21.3681i	0.218603	−	0.815839i
$687$	23.7858	+	23.7858i	0.907483	+	0.907483i
$688$	0.0283982	−	0.105984i	0.00108267	−	0.00404058i
$689$	1.43474	−	2.48505i	0.0546593	−	0.0946727i
$690$	3.20931	+	11.9773i	0.122176	+	0.455968i
$691$	34.5214	+	9.24998i	1.31326	+	0.351886i	0.846447	−	0.532472i	$-0.178737\pi$
$691$	34.5214	+	9.24998i	1.31326	+	0.351886i	0.466809	+	0.884358i	$0.345404\pi$
$692$	−6.96776	−	4.02284i	−0.264874	−	0.152925i
$693$	4.08282	−	7.07165i	0.155093	−	0.268630i
$694$	4.04757	−	7.01059i	0.153644	−	0.266119i
$695$	−51.5496	−	29.7622i	−1.95539	−	1.12894i
$696$	33.7104	+	9.03266i	1.27779	+	0.342382i
$697$	0.121112	+	0.451997i	0.00458745	+	0.0171206i
$698$	−14.5853	+	25.2624i	−0.552061	+	0.956198i
$699$	13.4809	−	50.3114i	0.509894	−	1.90295i
$700$	−7.57359	−	7.57359i	−0.286255	−	0.286255i
$701$	1.47090	−	5.48947i	0.0555550	−	0.207334i	−0.932569	−	0.360991i	$-0.882438\pi$
$701$	1.47090	−	5.48947i	0.0555550	−	0.207334i	0.988124	+	0.153657i	$0.0491051\pi$
$702$	−0.738896	−	2.75760i	−0.0278878	−	0.104079i
$703$		−	3.69994i		−	0.139546i
$704$	6.53273	−	1.75044i	0.246212	−	0.0659722i
$705$	−77.9972	+	45.0317i	−2.93755	+	1.69599i
$706$			24.3414i			0.916102i
$707$	7.49768	+	4.32879i	0.281979	+	0.162801i
$708$	−17.9980	−	17.9980i	−0.676407	−	0.676407i
$709$	23.4108	+	23.4108i	0.879210	+	0.879210i	0.993453	−	0.114243i	$-0.0364441\pi$
$709$	23.4108	+	23.4108i	0.879210	+	0.879210i	−0.114243	+	0.993453i	$0.536444\pi$
$710$	28.6921	+	7.68801i	1.07679	+	0.288526i
$711$	−18.0424	+	10.4168i	−0.676643	+	0.390660i
$712$	−20.5309	−	35.5605i	−0.769426	−	1.33269i
$713$	−0.257903	+	0.257903i	−0.00965855	+	0.00965855i
$714$	−6.76720	−	11.7211i	−0.253256	−	0.438652i
$715$	−0.689957	+	0.184873i	−0.0258029	+	0.00691387i
$716$	2.51296	+	0.673346i	0.0939138	+	0.0251641i
$717$	11.0629	−	41.2873i	0.413151	−	1.54190i
$718$	−35.9198	−	20.7383i	−1.34052	−	0.773947i
$719$	3.51292	−	0.941283i	0.131010	−	0.0351039i	−0.192718	−	0.981254i	$-0.561730\pi$
$719$	3.51292	−	0.941283i	0.131010	−	0.0351039i	0.323728	+	0.946150i	$0.395064\pi$
$720$	−44.4797	+	44.4797i	−1.65766	+	1.65766i
$721$	0.949263			0.0353524
$722$	19.2519			0.716481
$723$	5.70159	−	5.70159i	0.212044	−	0.212044i
$724$	1.29762	−	0.749180i	0.0482256	−	0.0278431i
$725$	10.4819	+	39.1189i	0.389287	+	1.45284i
$726$	18.9152	−	32.7621i	0.702010	−	1.21592i
$727$		−	26.9185i		−	0.998351i	−0.866501	−	0.499176i	$-0.833636\pi$
$727$		−	26.9185i		−	0.998351i	0.866501	−	0.499176i	$-0.166364\pi$
$728$	0.590041	+	1.02198i	0.0218684	+	0.0378771i
$729$	14.6658			0.543178
$730$	37.7203	+	14.6822i	1.39609	+	0.543414i
$731$	−0.0999960			−0.00369848
$732$	7.18175	+	12.4391i	0.265445	+	0.459764i
$733$			13.8804i			0.512683i	0.966586	+	0.256342i	$0.0825172\pi$
$733$			13.8804i			0.512683i	−0.966586	+	0.256342i	$0.917483\pi$
$734$	−18.8840	+	32.7081i	−0.697023	+	1.20728i
$735$	13.4822	+	50.3161i	0.497297	+	1.85594i
$736$	2.38486	−	1.37690i	0.0879072	−	0.0507533i
$737$	4.63092	−	4.63092i	0.170582	−	0.170582i
$738$	1.57790			0.0580832
$739$	14.5530			0.535340			0.267670	−	0.963511i	$-0.413746\pi$
$739$	14.5530			0.535340			0.267670	+	0.963511i	$0.413746\pi$
$740$	1.04105	−	1.04105i	0.0382699	−	0.0382699i
$741$	−4.07056	+	1.09070i	−0.149536	+	0.0400679i
$742$	−21.0689	−	12.1641i	−0.773462	−	0.446559i
$743$	6.28515	−	23.4565i	0.230580	−	0.860535i	−0.749512	−	0.661991i	$-0.769712\pi$
$743$	6.28515	−	23.4565i	0.230580	−	0.860535i	0.980092	−	0.198545i	$-0.0636215\pi$
$744$	−3.88636	−	1.04135i	−0.142481	−	0.0381776i
$745$	−73.0163	+	19.5646i	−2.67511	+	0.716793i
$746$	13.1920	+	22.8493i	0.482994	+	0.836571i
$747$	−19.6673	+	19.6673i	−0.719588	+	0.719588i
$748$	−0.513447	−	0.889317i	−0.0187735	−	0.0325166i
$749$	−10.5838	+	6.11059i	−0.386725	+	0.223276i
$750$	−83.2197	−	22.2987i	−3.03876	−	0.814232i
$751$	−24.3836	−	24.3836i	−0.889768	−	0.889768i	0.104732	−	0.994500i	$-0.466601\pi$
$751$	−24.3836	−	24.3836i	−0.889768	−	0.889768i	−0.994500	+	0.104732i	$0.966601\pi$
$752$	−12.8443	−	12.8443i	−0.468385	−	0.468385i
$753$	−63.9989	−	36.9498i	−2.33225	−	1.34653i
$754$		−	1.01857i		−	0.0370942i
$755$	−23.2720	+	13.4361i	−0.846953	+	0.488989i
$756$	9.82034	−	2.63135i	0.357162	−	0.0957014i
$757$			27.3443i			0.993844i	0.867795	+	0.496922i	$0.165537\pi$
$757$			27.3443i			0.993844i	−0.867795	+	0.496922i	$0.834463\pi$
$758$	4.34796	+	16.2268i	0.157925	+	0.589384i
$759$	−0.523047	+	1.95204i	−0.0189854	+	0.0708545i
$760$	51.5236	+	51.5236i	1.86896	+	1.86896i
$761$	13.9409	−	52.0280i	0.505356	−	1.88601i	0.0435106	−	0.999053i	$-0.486146\pi$
$761$	13.9409	−	52.0280i	0.505356	−	1.88601i	0.461845	−	0.886961i	$-0.347188\pi$
$762$	16.2437	−	28.1350i	0.588448	−	1.01922i
$763$	5.39709	+	20.1422i	0.195388	+	0.729198i
$764$	−6.77612	−	1.81566i	−0.245151	−	0.0656881i
$765$	49.6473	+	28.6639i	1.79500	+	1.03634i
$766$	10.1769	−	17.6269i	0.367706	−	0.636886i
$767$	−1.62715	+	2.81831i	−0.0587531	+	0.101763i
$768$	34.0529	+	19.6604i	1.22878	+	0.709435i
$769$	25.9580	+	6.95542i	0.936069	+	0.250819i	0.694441	−	0.719550i	$-0.255652\pi$
$769$	25.9580	+	6.95542i	0.936069	+	0.250819i	0.241628	+	0.970369i	$0.422319\pi$
$770$	1.56740	+	5.84963i	0.0564853	+	0.210806i
$771$	−26.3131	+	45.5756i	−0.947642	+	1.64136i
$772$	−1.95895	+	7.31090i	−0.0705042	+	0.263125i
$773$	−25.2507	−	25.2507i	−0.908206	−	0.908206i	0.0879213	−	0.996127i	$-0.471978\pi$
$773$	−25.2507	−	25.2507i	−0.908206	−	0.908206i	−0.996127	+	0.0879213i	$0.971978\pi$
$774$	−0.0872702	+	0.325697i	−0.00313686	+	0.0117069i
$775$	−1.20842	−	4.50989i	−0.0434078	−	0.162000i
$776$		−	7.58276i		−	0.272205i
$777$	3.05474	−	0.818516i	0.109588	−	0.0293641i
$778$	−11.6009	+	6.69781i	−0.415914	+	0.240128i
$779$		−	1.23529i		−	0.0442589i
$780$	−1.45223	−	0.838443i	−0.0519980	−	0.0300211i
$781$	3.42320	+	3.42320i	0.122492	+	0.122492i
$782$	1.61163	+	1.61163i	0.0576319	+	0.0576319i
$783$	−37.1324	−	9.94958i	−1.32700	−	0.355569i
$784$	−9.09854	+	5.25305i	−0.324948	+	0.187609i
$785$	29.7095	+	51.4584i	1.06038	+	1.83663i
$786$	17.2071	−	17.2071i	0.613757	−	0.613757i
$787$	−9.94494	−	17.2251i	−0.354499	−	0.614010i	0.632533	−	0.774533i	$-0.282015\pi$
$787$	−9.94494	−	17.2251i	−0.354499	−	0.614010i	−0.987032	+	0.160523i	$0.948682\pi$
$788$	−7.84358	+	2.10168i	−0.279416	+	0.0748692i
$789$	30.6605	+	8.21545i	1.09154	+	0.292478i
$790$	3.99903	−	14.9246i	0.142279	−	0.530993i
$791$	−21.3912	−	12.3502i	−0.760584	−	0.439123i
$792$	−14.6522	+	3.92605i	−0.520644	+	0.139506i
$793$	1.29856	−	1.29856i	0.0461134	−	0.0461134i
$794$	22.0944			0.784103
$795$	151.443			5.37112
$796$	0.658996	−	0.658996i	0.0233575	−	0.0233575i
$797$	10.0281	−	5.78973i	0.355214	−	0.205083i	−0.311765	−	0.950159i	$-0.600920\pi$
$797$	10.0281	−	5.78973i	0.355214	−	0.205083i	0.666979	+	0.745076i	$0.267587\pi$
$798$	9.24725	+	34.5112i	0.327349	+	1.22168i
$799$	−8.27722	+	14.3366i	−0.292827	+	0.507191i
$800$			35.2520i			1.24635i
$801$	42.6411	+	73.8566i	1.50665	+	2.60959i
$802$	−29.4997			−1.04167
$803$	4.12752	+	5.14609i	0.145657	+	0.181602i
$804$	15.3747			0.542225
$805$	2.82293	+	4.88945i	0.0994951	+	0.172331i
$806$			0.117428i			0.00413621i
$807$	18.7806	−	32.5290i	0.661109	−	1.14508i
$808$	−4.16257	−	15.5349i	−0.146439	−	0.546517i
$809$	34.3266	−	19.8185i	1.20686	−	0.696780i	0.244787	−	0.969577i	$-0.421282\pi$
$809$	34.3266	−	19.8185i	1.20686	−	0.696780i	0.962072	+	0.272797i	$0.0879488\pi$
$810$	42.3453	−	42.3453i	1.48786	−	1.48786i
$811$	−29.4798			−1.03517			−0.517587	−	0.855630i	$-0.673170\pi$
$811$	−29.4798			−1.03517			−0.517587	+	0.855630i	$0.673170\pi$
$812$	3.62733			0.127294
$813$	60.7513	−	60.7513i	2.13064	−	2.13064i
$814$	−0.551788	+	0.147851i	−0.0193402	+	0.00518218i
$815$	−40.4358	−	23.3456i	−1.41640	−	0.817761i
$816$	−4.39796	+	16.4134i	−0.153959	+	0.574584i
$817$	0.254979	+	0.0683213i	0.00892057	+	0.00239026i
$818$	−1.52100	+	0.407551i	−0.0531805	+	0.0142497i
$819$	−1.22547	−	2.12258i	−0.0428215	−	0.0741690i
$820$	0.347574	−	0.347574i	0.0121378	−	0.0121378i
$821$	−2.94129	−	5.09446i	−0.102652	−	0.177798i	0.810125	−	0.586258i	$-0.199399\pi$
$821$	−2.94129	−	5.09446i	−0.102652	−	0.177798i	−0.912776	+	0.408460i	$0.866066\pi$
$822$	28.3731	−	16.3812i	0.989624	−	0.571360i
$823$	−42.8182	−	11.4731i	−1.49255	−	0.399928i	−0.581953	−	0.813223i	$-0.697711\pi$
$823$	−42.8182	−	11.4731i	−1.49255	−	0.399928i	−0.910597	+	0.413295i	$0.864378\pi$
$824$	−1.24693	−	1.24693i	−0.0434387	−	0.0434387i
$825$	−18.2928	−	18.2928i	−0.636873	−	0.636873i
$826$	23.8944	+	13.7954i	0.831391	+	0.480004i
$827$		−	1.46010i		−	0.0507728i	−0.999678	−	0.0253864i	$-0.991918\pi$
$827$		−	1.46010i		−	0.0507728i	0.999678	−	0.0253864i	$-0.00808161\pi$
$828$	−2.79568	+	1.61409i	−0.0971568	+	0.0560935i
$829$	−36.3969	+	9.75251i	−1.26412	+	0.338719i	−0.827774	−	0.561062i	$-0.810393\pi$
$829$	−36.3969	+	9.75251i	−1.26412	+	0.338719i	−0.436342	+	0.899781i	$0.643726\pi$
$830$		−	20.6279i		−	0.716003i
$831$	−8.65500	−	32.3009i	−0.300239	−	1.12051i
$832$	0.525401	−	1.96082i	0.0182150	−	0.0679793i
$833$	6.77040	+	6.77040i	0.234580	+	0.234580i
$834$	−14.0332	+	52.3726i	−0.485929	+	1.81351i
$835$	47.1403	−	81.6493i	1.63136	−	2.82559i
$836$	0.701616	+	2.61847i	0.0242659	+	0.0905616i
$837$	4.28087	+	1.14706i	0.147968	+	0.0396480i
$838$	−24.3009	−	14.0301i	−0.839460	−	0.484663i
$839$	4.21655	−	7.30328i	0.145571	−	0.252137i	−0.784015	−	0.620742i	$-0.786831\pi$
$839$	4.21655	−	7.30328i	0.145571	−	0.252137i	0.929586	+	0.368605i	$0.120165\pi$
$840$	−31.1406	+	53.9371i	−1.07445	+	1.86101i
$841$	13.2367	+	7.64223i	0.456439	+	0.263525i
$842$	−12.4467	−	3.33509i	−0.428943	−	0.114935i
$843$	9.84916	+	36.7576i	0.339223	+	1.26600i
$844$	−6.32244	+	10.9508i	−0.217628	+	0.376942i
$845$	13.3759	−	49.9196i	0.460146	−	1.71729i
$846$	39.4718	+	39.4718i	1.35707	+	1.35707i
$847$	4.45812	−	16.6379i	0.153183	−	0.571686i
$848$	7.90538	+	29.5033i	0.271472	+	1.01315i
$849$			94.3789i			3.23908i
$850$	−28.1822	+	7.55141i	−0.966643	+	0.259011i
$851$	−0.461216	+	0.266283i	−0.0158103	+	0.00912806i
$852$			11.3651i			0.389361i
$853$	−45.7856	−	26.4343i	−1.56767	−	0.905094i	−0.996440	−	0.0843025i	$-0.973134\pi$
$853$	−45.7856	−	26.4343i	−1.56767	−	0.905094i	−0.571228	−	0.820791i	$-0.693533\pi$
$854$	−11.0096	−	11.0096i	−0.376739	−	0.376739i
$855$	−107.011	−	107.011i	−3.65969	−	3.65969i
$856$	21.9294	+	5.87596i	0.749530	+	0.200836i
$857$	2.95225	−	1.70448i	0.100847	−	0.0582241i	−0.448728	−	0.893668i	$-0.648123\pi$
$857$	2.95225	−	1.70448i	0.100847	−	0.0582241i	0.549575	+	0.835444i	$0.314790\pi$
$858$	0.325322	+	0.563474i	0.0111063	+	0.0192367i
$859$	−25.3875	+	25.3875i	−0.866211	+	0.866211i	−0.992051	−	0.125840i	$-0.959838\pi$
$859$	−25.3875	+	25.3875i	−0.866211	+	0.866211i	0.125840	+	0.992051i	$0.459838\pi$
$860$	0.0525198	+	0.0909670i	0.00179091	+	0.00310195i
$861$	1.01988	−	0.273276i	0.0347574	−	0.00931321i
$862$	−1.36505	−	0.365764i	−0.0464938	−	0.0124580i
$863$	−6.55837	+	24.4762i	−0.223250	+	0.833179i	0.759849	+	0.650100i	$0.225273\pi$
$863$	−6.55837	+	24.4762i	−0.223250	+	0.833179i	−0.983098	+	0.183079i	$0.941394\pi$
$864$	−28.9788	−	16.7309i	−0.985877	−	0.569197i
$865$	−52.4408	+	14.0515i	−1.78304	+	0.477764i
$866$	18.0956	−	18.0956i	0.614914	−	0.614914i
$867$	−36.6011			−1.24304
$868$	−0.418183			−0.0141941
$869$	1.78063	−	1.78063i	0.0604036	−	0.0604036i
$870$	46.5550	−	26.8786i	1.57836	−	0.911268i
$871$	−0.508771	−	1.89876i	−0.0172390	−	0.0643370i
$872$	19.3688	−	33.5478i	0.655911	−	1.13607i
$873$			15.7489i			0.533018i
$874$	−3.00835	−	5.21062i	−0.101759	−	0.176252i
$875$	−39.2281			−1.32615
$876$	−1.69083	+	15.3943i	−0.0571280	+	0.520124i
$877$	47.1926			1.59358			0.796791	−	0.604256i	$-0.206529\pi$
$877$	47.1926			1.59358			0.796791	+	0.604256i	$0.206529\pi$
$878$	4.90251	+	8.49139i	0.165452	+	0.286571i
$879$		−	49.7850i		−	1.67921i
$880$	3.80164	−	6.58463i	0.128153	−	0.221968i
$881$	−0.604370	−	2.25554i	−0.0203617	−	0.0759910i	0.954997	−	0.296614i	$-0.0958576\pi$
$881$	−0.604370	−	2.25554i	−0.0203617	−	0.0759910i	−0.975359	+	0.220623i	$0.929191\pi$
$882$	27.9606	−	16.1431i	0.941483	−	0.543565i
$883$	−25.5917	+	25.5917i	−0.861228	+	0.861228i	−0.991481	−	0.130253i	$-0.958421\pi$
$883$	−25.5917	+	25.5917i	−0.861228	+	0.861228i	0.130253	+	0.991481i	$0.458421\pi$
$884$	−0.308226			−0.0103668
$885$	−171.752			−5.77340
$886$	6.70766	−	6.70766i	0.225348	−	0.225348i
$887$	11.5692	−	3.09996i	0.388456	−	0.104086i	−0.0593047	−	0.998240i	$-0.518888\pi$
$887$	11.5692	−	3.09996i	0.388456	−	0.104086i	0.447761	+	0.894154i	$0.352222\pi$
$888$	−5.08781	−	2.93745i	−0.170736	−	0.0985744i
$889$	3.82848	−	14.2881i	0.128403	−	0.479207i
$890$	−61.0938	−	16.3700i	−2.04787	−	0.548724i
$891$	9.42742	−	2.52607i	0.315830	−	0.0846265i
$892$	2.55737	+	4.42950i	0.0856271	+	0.148311i
$893$	30.9013	−	30.9013i	1.03407	−	1.03407i
$894$	34.4279	+	59.6309i	1.15144	+	1.99436i
$895$	15.2032	−	8.77759i	0.508188	−	0.293402i
$896$	−6.31379	−	1.69178i	−0.210929	−	0.0565183i
$897$	0.428917	+	0.428917i	0.0143211	+	0.0143211i
$898$	−11.1364	−	11.1364i	−0.371626	−	0.371626i
$899$	1.36938	+	0.790610i	0.0456713	+	0.0263683i
$900$		−	41.3245i		−	1.37748i
$901$	24.1071	−	13.9182i	0.803124	−	0.463684i
$902$	−0.184224	+	0.0493627i	−0.00613399	+	0.00164360i
$903$			0.225630i			0.00750848i
$904$	11.8760	+	44.3219i	0.394990	+	1.47412i
$905$	2.61683	−	9.76614i	0.0869863	−	0.324637i
$906$	17.3082	+	17.3082i	0.575027	+	0.575027i
$907$	−0.672384	+	2.50937i	−0.0223261	+	0.0833222i	−0.976190	−	0.216917i	$-0.930400\pi$
$907$	−0.672384	+	2.50937i	−0.0223261	+	0.0833222i	0.953864	+	0.300239i	$0.0970665\pi$
$908$	2.10201	−	3.64079i	0.0697578	−	0.120824i
$909$	8.64537	+	32.2650i	0.286749	+	1.07016i
$910$	1.75579	+	0.470462i	0.0582038	+	0.0155957i
$911$	−12.3397	−	7.12435i	−0.408833	−	0.236040i	0.281455	−	0.959574i	$-0.409183\pi$
$911$	−12.3397	−	7.12435i	−0.408833	−	0.236040i	−0.690288	+	0.723534i	$0.742516\pi$
$912$	22.4286	−	38.8475i	0.742686	−	1.28637i
$913$	1.68094	−	2.91148i	0.0556311	−	0.0963560i
$914$	−28.8452	−	16.6538i	−0.954114	−	0.550858i
$915$	93.6196	+	25.0853i	3.09497	+	0.829294i
$916$	−1.68099	−	6.27354i	−0.0555415	−	0.207284i
$917$	5.53997	−	9.59550i	0.182946	−	0.316871i
$918$	7.16793	−	26.7511i	0.236577	−	0.882917i
$919$	8.52576	+	8.52576i	0.281239	+	0.281239i	0.833603	−	0.552364i	$-0.186274\pi$
$919$	8.52576	+	8.52576i	0.281239	+	0.281239i	−0.552364	+	0.833603i	$0.686274\pi$
$920$	2.71453	−	10.1308i	0.0894955	−	0.334002i
$921$	−14.7218	−	54.9426i	−0.485100	−	1.81042i
$922$			35.9069i			1.18253i
$923$	1.40357	−	0.376086i	0.0461991	−	0.0123790i
$924$	−2.00664	+	1.15854i	−0.0660137	+	0.0381130i
$925$		−	6.81748i		−	0.224157i
$926$	−20.0710	−	11.5880i	−0.659573	−	0.380805i
$927$	2.58978	+	2.58978i	0.0850594	+	0.0850594i
$928$	−8.44187	−	8.44187i	−0.277118	−	0.277118i
$929$	−10.3939	−	2.78504i	−0.341014	−	0.0913743i	0.0842479	−	0.996445i	$-0.473151\pi$
$929$	−10.3939	−	2.78504i	−0.341014	−	0.0913743i	−0.425262	+	0.905070i	$0.639818\pi$
$930$	−5.36718	+	3.09874i	−0.175997	+	0.101612i
$931$	−12.6380	−	21.8896i	−0.414192	−	0.717402i
$932$	−7.11122	+	7.11122i	−0.232936	+	0.232936i
$933$	33.1999	+	57.5038i	1.08691	+	1.88259i
$934$	−24.4783	+	6.55894i	−0.800954	+	0.214615i
$935$	−6.69318	−	1.79343i	−0.218890	−	0.0586515i
$936$	−1.17842	+	4.39791i	−0.0385178	+	0.143750i
$937$	32.4880	+	18.7570i	1.06134	+	0.612763i	0.925802	−	0.378010i	$-0.123391\pi$
$937$	32.4880	+	18.7570i	1.06134	+	0.612763i	0.135535	+	0.990773i	$0.456725\pi$
$938$	−16.0982	+	4.31349i	−0.525624	+	0.140840i
$939$	−48.7486	+	48.7486i	−1.59085	+	1.59085i
$940$	17.3894			0.567181
$941$	41.3233			1.34710			0.673550	−	0.739142i	$-0.264769\pi$
$941$	41.3233			1.34710			0.673550	+	0.739142i	$0.264769\pi$
$942$	38.2715	−	38.2715i	1.24695	−	1.24695i
$943$	−0.153985	+	0.0889031i	−0.00501443	+	0.00289508i
$944$	−8.96556	−	33.4599i	−0.291804	−	1.08903i
$945$	34.3017	−	59.4123i	1.11583	−	1.93268i
$946$		−	0.0407562i		−	0.00132510i
$947$	−4.45281	−	7.71249i	−0.144697	−	0.250622i	0.784563	−	0.620049i	$-0.212887\pi$
$947$	−4.45281	−	7.71249i	−0.144697	−	0.250622i	−0.929260	+	0.369427i	$0.879554\pi$
$948$	5.91170			0.192003
$949$	1.95712	−	0.300601i	0.0635309	−	0.00975793i
$950$	77.0210			2.49889
$951$	11.0558	+	19.1493i	0.358510	+	0.620958i
$952$			11.4478i			0.371026i
$953$	−21.0859	+	36.5219i	−0.683040	+	1.18306i	0.291009	+	0.956720i	$0.406009\pi$
$953$	−21.0859	+	36.5219i	−0.683040	+	1.18306i	−0.974049	+	0.226339i	$0.927324\pi$
$954$	−24.2939	−	90.6662i	−0.786545	−	2.93543i
$955$	−40.9950	+	23.6685i	−1.32657	+	0.765894i
$956$	−5.83572	+	5.83572i	−0.188741	+	0.188741i
$957$	8.76123			0.283210
$958$	27.3683			0.884230
$959$	10.5481	−	10.5481i	0.340616	−	0.340616i
$960$	103.486	−	27.7291i	3.34001	−	0.894952i
$961$	26.6889	+	15.4089i	0.860933	+	0.497060i
$962$	−0.0443781	+	0.165621i	−0.00143081	+	0.00533984i
$963$	−45.5457	−	12.2039i	−1.46769	−	0.393267i
$964$	−1.50380	+	0.402943i	−0.0484343	+	0.0129779i
$965$	25.5364	+	44.2304i	0.822047	+	1.42383i
$966$	3.63647	−	3.63647i	0.117001	−	0.117001i
$967$	4.03134	+	6.98249i	0.129639	+	0.224542i	0.923537	−	0.383510i	$-0.125285\pi$
$967$	4.03134	+	6.98249i	0.129639	+	0.224542i	−0.793898	+	0.608051i	$0.791951\pi$
$968$	−27.7112	+	15.9991i	−0.890672	+	0.514230i
$969$	−39.4879	−	10.5808i	−1.26853	−	0.339903i
$970$	−8.25902	−	8.25902i	−0.265181	−	0.265181i
$971$	29.9443	+	29.9443i	0.960958	+	0.960958i	0.999266	−	0.0383082i	$-0.0121969\pi$
$971$	29.9443	+	29.9443i	0.960958	+	0.960958i	−0.0383082	+	0.999266i	$0.512197\pi$
$972$	3.88876	+	2.24517i	0.124732	+	0.0720140i
$973$			24.6873i			0.791440i
$974$	−35.5949	+	20.5507i	−1.14053	+	0.658488i
$975$	−7.50036	+	2.00972i	−0.240204	+	0.0643624i
$976$			19.5479i			0.625714i
$977$	5.19259	+	19.3790i	0.166126	+	0.619989i	0.997894	+	0.0648662i	$0.0206621\pi$
$977$	5.19259	+	19.3790i	0.166126	+	0.619989i	−0.831768	+	0.555123i	$0.812671\pi$
$978$	−11.0077	+	41.0813i	−0.351988	+	1.31364i
$979$	−7.28899	−	7.28899i	−0.232957	−	0.232957i
$980$	2.60313	−	9.71502i	0.0831540	−	0.310335i
$981$	−40.2277	+	69.6764i	−1.28437	+	2.22459i
$982$	−4.00506	−	14.9471i	−0.127807	−	0.476981i
$983$	−7.69995	−	2.06320i	−0.245590	−	0.0658057i	0.133924	−	0.990992i	$-0.457242\pi$
$983$	−7.69995	−	2.06320i	−0.245590	−	0.0658057i	−0.379514	+	0.925186i	$0.623909\pi$
$984$	−1.69865	−	0.980718i	−0.0541511	−	0.0312642i
$985$	−27.3970	+	47.4530i	−0.872942	+	1.51198i
$986$	4.94051	−	8.55721i	0.157338	−	0.272517i
$987$	32.3488	+	18.6766i	1.02967	+	0.594483i
$988$	0.785942	+	0.210593i	0.0250042	+	0.00669984i
$989$	−0.00983410	−	0.0367013i	−0.000312706	−	0.00116703i
$990$	−11.6828	+	20.2351i	−0.371303	+	0.643115i
$991$	−5.21134	+	19.4490i	−0.165544	+	0.617818i	0.832426	+	0.554136i	$0.186951\pi$
$991$	−5.21134	+	19.4490i	−0.165544	+	0.617818i	−0.997970	+	0.0636822i	$0.979716\pi$
$992$	0.973235	+	0.973235i	0.0309002	+	0.0309002i
$993$	−18.9955	+	70.8923i	−0.602805	+	2.24970i
$994$	−3.18855	−	11.8998i	−0.101135	−	0.377440i
$995$		−	6.28870i		−	0.199365i
$996$	7.62346	−	2.04270i	0.241559	−	0.0647254i
$997$	5.20986	−	3.00792i	0.164998	−	0.0952617i	−0.415227	−	0.909718i	$-0.636298\pi$
$997$	5.20986	−	3.00792i	0.164998	−	0.0952617i	0.580225	+	0.814456i	$0.302965\pi$
$998$			0.994648i			0.0314850i
$999$	5.60428	+	3.23563i	0.177312	+	0.102371i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	73.2.h.a.24.4	✓	20
3.2	odd	2		657.2.be.c.316.2		20
73.17	odd	24		5329.2.a.m.1.6		20
73.56	odd	24		5329.2.a.m.1.5		20
73.70	even	12	inner	73.2.h.a.70.4	yes	20
219.143	odd	12		657.2.be.c.289.2		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
73.2.h.a.24.4	✓	20	1.1	even	1	trivial
73.2.h.a.70.4	yes	20	73.70	even	12	inner
657.2.be.c.289.2		20	219.143	odd	12
657.2.be.c.316.2		20	3.2	odd	2
5329.2.a.m.1.5		20	73.56	odd	24
5329.2.a.m.1.6		20	73.17	odd	24

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:	\( N \)	\(=\)	\( 73 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	73.h (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.593383 + 1.02777i) q^{2} +3.06395i q^{3} +(0.295794 - 0.512330i) q^{4} +(-1.03319 - 3.85590i) q^{5} +(-3.14904 + 1.81810i) q^{6} +(-1.17070 + 1.17070i) q^{7} +3.07561 q^{8} -6.38782 q^{9} +O(q^{10})\)	\(q+(0.593383 + 1.02777i) q^{2} +3.06395i q^{3} +(0.295794 - 0.512330i) q^{4} +(-1.03319 - 3.85590i) q^{5} +(-3.14904 + 1.81810i) q^{6} +(-1.17070 + 1.17070i) q^{7} +3.07561 q^{8} -6.38782 q^{9} +(3.34990 - 3.34990i) q^{10} +(0.745796 - 0.199835i) q^{11} +(1.56976 + 0.906299i) q^{12} +(0.0599813 - 0.223853i) q^{13} +(-1.89789 - 0.508537i) q^{14} +(11.8143 - 3.16563i) q^{15} +(1.23342 + 2.13635i) q^{16} +(1.58970 - 1.58970i) q^{17} +(-3.79042 - 6.56520i) q^{18} +(-5.13971 + 2.96741i) q^{19} +(-2.28110 - 0.611220i) q^{20} +(-3.58698 - 3.58698i) q^{21} +(0.647927 + 0.647927i) q^{22} +(0.739804 + 0.427126i) q^{23} +9.42352i q^{24} +(-9.47037 + 5.46772i) q^{25} +(0.265661 - 0.0711838i) q^{26} -10.3801i q^{27} +(0.253499 + 0.946072i) q^{28} +(0.958524 - 3.57726i) q^{29} +(10.2639 + 10.2639i) q^{30} +(-0.110505 + 0.412410i) q^{31} +(1.61182 - 2.79176i) q^{32} +(0.612287 + 2.28509i) q^{33} +(2.57715 + 0.690544i) q^{34} +(5.72366 + 3.30456i) q^{35} +(-1.88948 + 3.27267i) q^{36} +(-0.311715 + 0.539906i) q^{37} +(-6.09963 - 3.52162i) q^{38} +(0.685876 + 0.183780i) q^{39} +(-3.17767 - 11.8592i) q^{40} +(-0.104071 + 0.180257i) q^{41} +(1.55813 - 5.81504i) q^{42} +(-0.0314512 - 0.0314512i) q^{43} +(0.118220 - 0.441204i) q^{44} +(6.59980 + 24.6308i) q^{45} +1.01380i q^{46} +(-7.11259 + 1.90581i) q^{47} +(-6.54569 + 3.77916i) q^{48} +4.25891i q^{49} +(-11.2391 - 6.48890i) q^{50} +(4.87077 + 4.87077i) q^{51} +(-0.0969447 - 0.0969447i) q^{52} +(11.9599 + 3.20465i) q^{53} +(10.6684 - 6.15938i) q^{54} +(-1.54109 - 2.66925i) q^{55} +(-3.60062 + 3.60062i) q^{56} +(-9.09202 - 15.7478i) q^{57} +(4.24537 - 1.13754i) q^{58} +(-13.5638 - 3.63442i) q^{59} +(1.87275 - 6.98920i) q^{60} +(6.86261 + 3.96213i) q^{61} +(-0.489434 + 0.131144i) q^{62} +(7.47823 - 7.47823i) q^{63} +8.75941 q^{64} -0.925128 q^{65} +(-1.98522 + 1.98522i) q^{66} +(7.34576 - 4.24108i) q^{67} +(-0.344228 - 1.28467i) q^{68} +(-1.30869 + 2.26673i) q^{69} +7.84347i q^{70} +(3.13502 + 5.43002i) q^{71} -19.6464 q^{72} +(3.43862 + 7.82150i) q^{73} -0.739865 q^{74} +(-16.7529 - 29.0168i) q^{75} +3.51097i q^{76} +(-0.639157 + 1.10705i) q^{77} +(0.218104 + 0.813974i) q^{78} +(2.82450 - 1.63073i) q^{79} +(6.96321 - 6.96321i) q^{80} +12.6407 q^{81} -0.247017 q^{82} +(3.07888 - 3.07888i) q^{83} +(-2.89872 + 0.776710i) q^{84} +(-7.77218 - 4.48727i) q^{85} +(0.0136620 - 0.0509872i) q^{86} +(10.9606 + 2.93687i) q^{87} +(2.29378 - 0.614615i) q^{88} +(-6.67538 - 11.5621i) q^{89} +(-21.3986 + 21.3986i) q^{90} +(0.191845 + 0.332286i) q^{91} +(0.437659 - 0.252683i) q^{92} +(-1.26361 - 0.338582i) q^{93} +(-6.17923 - 6.17923i) q^{94} +(16.7523 + 16.7523i) q^{95} +(8.55382 + 4.93855i) q^{96} -2.46545i q^{97} +(-4.37718 + 2.52717i) q^{98} +(-4.76401 + 1.27651i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

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