LMFDB - Embedded newform 273.2.cg.b.115.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(19,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 10, 5]))

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

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

chi := DirichletCharacter("273.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			115.5
Character	$\chi$	$=$	273.115
Dual form			273.2.cg.b.19.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.251431 - 0.0673706i) q^{2} -1.00000i q^{3} +(-1.67337 + 0.966122i) q^{4} +(3.35960 + 0.900201i) q^{5} +(-0.0673706 - 0.251431i) q^{6} +(0.422545 + 2.61179i) q^{7} +(-0.723769 + 0.723769i) q^{8} -1.00000 q^{9} +O(q^{10})$	\(q+(0.251431 - 0.0673706i) q^{2} -1.00000i q^{3} +(-1.67337 + 0.966122i) q^{4} +(3.35960 + 0.900201i) q^{5} +(-0.0673706 - 0.251431i) q^{6} +(0.422545 + 2.61179i) q^{7} +(-0.723769 + 0.723769i) q^{8} -1.00000 q^{9} +0.905353 q^{10} +(1.69834 - 1.69834i) q^{11} +(0.966122 + 1.67337i) q^{12} +(-1.60070 + 3.23075i) q^{13} +(0.282199 + 0.628217i) q^{14} +(0.900201 - 3.35960i) q^{15} +(1.79903 - 3.11601i) q^{16} +(1.67183 + 2.89570i) q^{17} +(-0.251431 + 0.0673706i) q^{18} +(4.43691 - 4.43691i) q^{19} +(-6.49156 + 1.73941i) q^{20} +(2.61179 - 0.422545i) q^{21} +(0.312595 - 0.541431i) q^{22} +(0.136428 + 0.0787667i) q^{23} +(0.723769 + 0.723769i) q^{24} +(6.14641 + 3.54863i) q^{25} +(-0.184807 + 0.920150i) q^{26} +1.00000i q^{27} +(-3.23038 - 3.96227i) q^{28} +(0.530733 + 0.919257i) q^{29} -0.905353i q^{30} +(-1.37778 - 5.14195i) q^{31} +(0.772239 - 2.88203i) q^{32} +(-1.69834 - 1.69834i) q^{33} +(0.615434 + 0.615434i) q^{34} +(-0.931557 + 9.15494i) q^{35} +(1.67337 - 0.966122i) q^{36} +(-0.635774 - 2.37274i) q^{37} +(0.816657 - 1.41449i) q^{38} +(3.23075 + 1.60070i) q^{39} +(-3.08311 + 1.78003i) q^{40} +(-11.0466 - 2.95993i) q^{41} +(0.628217 - 0.282199i) q^{42} +(-6.74236 - 3.89270i) q^{43} +(-1.20115 + 4.48275i) q^{44} +(-3.35960 - 0.900201i) q^{45} +(0.0396087 + 0.0106131i) q^{46} +(-2.03894 + 7.60944i) q^{47} +(-3.11601 - 1.79903i) q^{48} +(-6.64291 + 2.20720i) q^{49} +(1.78447 + 0.478147i) q^{50} +(2.89570 - 1.67183i) q^{51} +(-0.442737 - 6.95272i) q^{52} +(-3.19888 + 5.54063i) q^{53} +(0.0673706 + 0.251431i) q^{54} +(7.23457 - 4.17688i) q^{55} +(-2.19616 - 1.58451i) q^{56} +(-4.43691 - 4.43691i) q^{57} +(0.195374 + 0.195374i) q^{58} +(0.931813 - 3.47757i) q^{59} +(1.73941 + 6.49156i) q^{60} -12.4907i q^{61} +(-0.692833 - 1.20002i) q^{62} +(-0.422545 - 2.61179i) q^{63} +6.41945i q^{64} +(-8.28603 + 9.41308i) q^{65} +(-0.541431 - 0.312595i) q^{66} +(3.01674 + 3.01674i) q^{67} +(-5.59519 - 3.23038i) q^{68} +(0.0787667 - 0.136428i) q^{69} +(0.382552 + 2.36459i) q^{70} +(3.09532 - 0.829388i) q^{71} +(0.723769 - 0.723769i) q^{72} +(7.36626 - 1.97378i) q^{73} +(-0.319706 - 0.553747i) q^{74} +(3.54863 - 6.14641i) q^{75} +(-3.13800 + 11.7112i) q^{76} +(5.15332 + 3.71807i) q^{77} +(0.920150 + 0.184807i) q^{78} +(3.17152 + 5.49324i) q^{79} +(8.84904 - 8.84904i) q^{80} +1.00000 q^{81} -2.97687 q^{82} +(10.4950 - 10.4950i) q^{83} +(-3.96227 + 3.23038i) q^{84} +(3.00997 + 11.2334i) q^{85} +(-1.95749 - 0.524508i) q^{86} +(0.919257 - 0.530733i) q^{87} +2.45840i q^{88} +(-13.8732 + 3.71732i) q^{89} -0.905353 q^{90} +(-9.11442 - 2.81555i) q^{91} -0.304393 q^{92} +(-5.14195 + 1.37778i) q^{93} +2.05061i q^{94} +(18.9003 - 10.9121i) q^{95} +(-2.88203 - 0.772239i) q^{96} +(-1.40662 - 5.24959i) q^{97} +(-1.52153 + 1.00249i) q^{98} +(-1.69834 + 1.69834i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) $ 40 * q - 8 * q^7 - 40 * q^9	$ 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) $ 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	0.251431	−	0.0673706i	0.177788	−	0.0476382i	−0.168827	−	0.985646i	$-0.553998\pi$
$2$	0.251431	−	0.0673706i	0.177788	−	0.0476382i	0.346615	+	0.938008i	$0.387331\pi$
$3$		−	1.00000i		−	0.577350i
$3$		−	1.00000i		−	0.577350i
$4$	−1.67337	+	0.966122i	−0.836686	+	0.483061i
$5$	3.35960	+	0.900201i	1.50246	+	0.402582i	0.913922	−	0.405889i	$-0.133038\pi$
$5$	3.35960	+	0.900201i	1.50246	+	0.402582i	0.588535	+	0.808471i	$0.299705\pi$
$6$	−0.0673706	−	0.251431i	−0.0275039	−	0.102646i
$7$	0.422545	+	2.61179i	0.159707	+	0.987164i
$7$	0.422545	+	2.61179i	0.159707	+	0.987164i
$8$	−0.723769	+	0.723769i	−0.255891	+	0.255891i
$9$	−1.00000			−0.333333
$10$	0.905353			0.286298
$11$	1.69834	−	1.69834i	0.512067	−	0.512067i	−0.403092	−	0.915159i	$-0.632065\pi$
$11$	1.69834	−	1.69834i	0.512067	−	0.512067i	0.915159	+	0.403092i	$0.132065\pi$
$12$	0.966122	+	1.67337i	0.278895	+	0.483061i
$13$	−1.60070	+	3.23075i	−0.443954	+	0.896050i
$13$	−1.60070	+	3.23075i	−0.443954	+	0.896050i
$14$	0.282199	+	0.628217i	0.0754208	+	0.167898i
$15$	0.900201	−	3.35960i	0.232431	−	0.867444i
$16$	1.79903	−	3.11601i	0.449757	−	0.779002i
$17$	1.67183	+	2.89570i	0.405479	+	0.702309i	0.994377	−	0.105898i	$-0.0337716\pi$
$17$	1.67183	+	2.89570i	0.405479	+	0.702309i	−0.588899	+	0.808207i	$0.700438\pi$
$18$	−0.251431	+	0.0673706i	−0.0592628	+	0.0158794i
$19$	4.43691	−	4.43691i	1.01790	−	1.01790i	0.0180596	−	0.999837i	$-0.494251\pi$
$19$	4.43691	−	4.43691i	1.01790	−	1.01790i	0.999837	−	0.0180596i	$-0.00574887\pi$
$20$	−6.49156	+	1.73941i	−1.45156	+	0.388944i
$21$	2.61179	−	0.422545i	0.569940	−	0.0922069i
$22$	0.312595	−	0.541431i	0.0666456	−	0.115434i
$23$	0.136428	+	0.0787667i	0.0284472	+	0.0164240i	0.514156	−	0.857697i	$-0.328105\pi$
$23$	0.136428	+	0.0787667i	0.0284472	+	0.0164240i	−0.485709	+	0.874121i	$0.661439\pi$
$24$	0.723769	+	0.723769i	0.147739	+	0.147739i
$25$	6.14641	+	3.54863i	1.22928	+	0.709726i
$26$	−0.184807	+	0.920150i	−0.0362436	+	0.180456i
$27$			1.00000i			0.192450i
$28$	−3.23038	−	3.96227i	−0.610485	−	0.748799i
$29$	0.530733	+	0.919257i	0.0985547	+	0.170702i	0.911087	−	0.412215i	$-0.135245\pi$
$29$	0.530733	+	0.919257i	0.0985547	+	0.170702i	−0.812532	+	0.582917i	$0.801911\pi$
$30$		−	0.905353i		−	0.165294i
$31$	−1.37778	−	5.14195i	−0.247457	−	0.923521i	−0.972133	−	0.234431i	$-0.924677\pi$
$31$	−1.37778	−	5.14195i	−0.247457	−	0.923521i	0.724676	−	0.689090i	$-0.241989\pi$
$32$	0.772239	−	2.88203i	0.136514	−	0.509476i
$33$	−1.69834	−	1.69834i	−0.295642	−	0.295642i
$34$	0.615434	+	0.615434i	0.105546	+	0.105546i
$35$	−0.931557	+	9.15494i	−0.157462	+	1.54747i
$36$	1.67337	−	0.966122i	0.278895	−	0.161020i
$37$	−0.635774	−	2.37274i	−0.104521	−	0.390076i	0.893770	−	0.448526i	$-0.148051\pi$
$37$	−0.635774	−	2.37274i	−0.104521	−	0.390076i	−0.998290	+	0.0584498i	$0.981384\pi$
$38$	0.816657	−	1.41449i	0.132479	−	0.229461i
$39$	3.23075	+	1.60070i	0.517335	+	0.256317i
$40$	−3.08311	+	1.78003i	−0.487482	+	0.281448i
$41$	−11.0466	−	2.95993i	−1.72519	−	0.462264i	−0.746125	−	0.665806i	$-0.768088\pi$
$41$	−11.0466	−	2.95993i	−1.72519	−	0.462264i	−0.979066	+	0.203542i	$0.934755\pi$
$42$	0.628217	−	0.282199i	0.0969360	−	0.0435442i
$43$	−6.74236	−	3.89270i	−1.02820	−	0.593632i	−0.111732	−	0.993738i	$-0.535640\pi$
$43$	−6.74236	−	3.89270i	−1.02820	−	0.593632i	−0.916469	+	0.400107i	$0.868973\pi$
$44$	−1.20115	+	4.48275i	−0.181080	+	0.675799i
$45$	−3.35960	−	0.900201i	−0.500819	−	0.134194i
$46$	0.0396087	+	0.0106131i	0.00583999	+	0.00156482i
$47$	−2.03894	+	7.60944i	−0.297410	+	1.10995i	0.641874	+	0.766810i	$0.278157\pi$
$47$	−2.03894	+	7.60944i	−0.297410	+	1.10995i	−0.939284	+	0.343140i	$0.888509\pi$
$48$	−3.11601	−	1.79903i	−0.449757	−	0.259667i
$49$	−6.64291	+	2.20720i	−0.948987	+	0.315314i
$50$	1.78447	+	0.478147i	0.252362	+	0.0676202i
$51$	2.89570	−	1.67183i	0.405479	−	0.234103i
$52$	−0.442737	−	6.95272i	−0.0613966	−	0.964169i
$53$	−3.19888	+	5.54063i	−0.439400	+	0.761064i	−0.997643	−	0.0686138i	$-0.978142\pi$
$53$	−3.19888	+	5.54063i	−0.439400	+	0.761064i	0.558243	+	0.829678i	$0.311476\pi$
$54$	0.0673706	+	0.251431i	0.00916798	+	0.0342154i
$55$	7.23457	−	4.17688i	0.975509	−	0.563210i
$56$	−2.19616	−	1.58451i	−0.293474	−	0.211739i
$57$	−4.43691	−	4.43691i	−0.587683	−	0.587683i
$58$	0.195374	+	0.195374i	0.0256538	+	0.0256538i
$59$	0.931813	−	3.47757i	0.121312	−	0.452741i	−0.878370	−	0.477982i	$-0.841368\pi$
$59$	0.931813	−	3.47757i	0.121312	−	0.452741i	0.999681	+	0.0252405i	$0.00803514\pi$
$60$	1.73941	+	6.49156i	0.224557	+	0.838057i
$61$		−	12.4907i		−	1.59927i	−0.600488	−	0.799634i	$-0.705027\pi$
$61$		−	12.4907i		−	1.59927i	0.600488	−	0.799634i	$-0.294973\pi$
$62$	−0.692833	−	1.20002i	−0.0879898	−	0.152403i
$63$	−0.422545	−	2.61179i	−0.0532357	−	0.329055i
$64$			6.41945i			0.802431i
$65$	−8.28603	+	9.41308i	−1.02776	+	1.16755i
$66$	−0.541431	−	0.312595i	−0.0666456	−	0.0384778i
$67$	3.01674	+	3.01674i	0.368553	+	0.368553i	0.866949	−	0.498396i	$-0.166078\pi$
$67$	3.01674	+	3.01674i	0.368553	+	0.368553i	−0.498396	+	0.866949i	$0.666078\pi$
$68$	−5.59519	−	3.23038i	−0.678516	−	0.391742i
$69$	0.0787667	−	0.136428i	0.00948240	−	0.0164240i
$70$	0.382552	+	2.36459i	0.0457238	+	0.282623i
$71$	3.09532	−	0.829388i	0.367347	−	0.0984302i	−0.0704235	−	0.997517i	$-0.522435\pi$
$71$	3.09532	−	0.829388i	0.367347	−	0.0984302i	0.437770	+	0.899087i	$0.355768\pi$
$72$	0.723769	−	0.723769i	0.0852969	−	0.0852969i
$73$	7.36626	−	1.97378i	0.862156	−	0.231014i	0.199463	−	0.979905i	$-0.436080\pi$
$73$	7.36626	−	1.97378i	0.862156	−	0.231014i	0.662693	+	0.748891i	$0.269414\pi$
$74$	−0.319706	−	0.553747i	−0.0371651	−	0.0643718i
$75$	3.54863	−	6.14641i	0.409760	−	0.709726i
$76$	−3.13800	+	11.7112i	−0.359954	+	1.34337i
$77$	5.15332	+	3.71807i	0.587275	+	0.423714i
$78$	0.920150	+	0.184807i	0.104186	+	0.0209252i
$79$	3.17152	+	5.49324i	0.356824	+	0.618038i	0.987428	−	0.158067i	$-0.0505262\pi$
$79$	3.17152	+	5.49324i	0.356824	+	0.618038i	−0.630604	+	0.776105i	$0.717193\pi$
$80$	8.84904	−	8.84904i	0.989353	−	0.989353i
$81$	1.00000			0.111111
$82$	−2.97687			−0.328740
$83$	10.4950	−	10.4950i	1.15197	−	1.15197i	0.165818	−	0.986156i	$-0.446974\pi$
$83$	10.4950	−	10.4950i	1.15197	−	1.15197i	0.986156	−	0.165818i	$-0.0530264\pi$
$84$	−3.96227	+	3.23038i	−0.432319	+	0.352464i
$85$	3.00997	+	11.2334i	0.326477	+	1.21843i
$86$	−1.95749	−	0.524508i	−0.211081	−	0.0565591i
$87$	0.919257	−	0.530733i	0.0985547	−	0.0569006i
$88$			2.45840i			0.262067i
$89$	−13.8732	+	3.71732i	−1.47056	+	0.394035i	−0.903123	−	0.429382i	$-0.858732\pi$
$89$	−13.8732	+	3.71732i	−1.47056	+	0.394035i	−0.567437	+	0.823417i	$0.692065\pi$
$90$	−0.905353			−0.0954325
$91$	−9.11442	−	2.81555i	−0.955451	−	0.295150i
$92$	−0.304393			−0.0317352
$93$	−5.14195	+	1.37778i	−0.533195	+	0.142869i
$94$			2.05061i			0.211504i
$95$	18.9003	−	10.9121i	1.93913	−	1.11956i
$96$	−2.88203	−	0.772239i	−0.294146	−	0.0788163i
$97$	−1.40662	−	5.24959i	−0.142821	−	0.533015i	−0.999843	−	0.0177346i	$-0.994355\pi$
$97$	−1.40662	−	5.24959i	−0.142821	−	0.533015i	0.857022	−	0.515280i	$-0.172312\pi$
$98$	−1.52153	+	1.00249i	−0.153698	+	0.101267i
$99$	−1.69834	+	1.69834i	−0.170689	+	0.170689i
$100$	−13.7136			−1.37136
$101$	−0.165504			−0.0164683			−0.00823415	−	0.999966i	$-0.502621\pi$
$101$	−0.165504			−0.0164683			−0.00823415	+	0.999966i	$0.502621\pi$
$102$	0.615434	−	0.615434i	0.0609371	−	0.0609371i
$103$	−8.50977	−	14.7394i	−0.838493	−	1.45231i	−0.891155	−	0.453700i	$-0.850104\pi$
$103$	−8.50977	−	14.7394i	−0.838493	−	1.45231i	0.0526616	−	0.998612i	$-0.483230\pi$
$104$	−1.17978	−	3.49685i	−0.115687	−	0.342895i
$105$	9.15494	+	0.931557i	0.893431	+	0.0909106i
$106$	−0.431021	+	1.60859i	−0.0418645	+	0.156240i
$107$	7.18946	−	12.4525i	0.695031	−	1.20383i	−0.275139	−	0.961405i	$-0.588724\pi$
$107$	7.18946	−	12.4525i	0.695031	−	1.20383i	0.970170	−	0.242425i	$-0.0779429\pi$
$108$	−0.966122	−	1.67337i	−0.0929651	−	0.161020i
$109$	3.53370	−	0.946851i	0.338467	−	0.0906919i	−0.0855823	−	0.996331i	$-0.527275\pi$
$109$	3.53370	−	0.946851i	0.338467	−	0.0906919i	0.424049	+	0.905639i	$0.360608\pi$
$110$	1.53759	−	1.53759i	0.146604	−	0.146604i
$111$	−2.37274	+	0.635774i	−0.225211	+	0.0603450i
$112$	8.89853	+	3.38203i	0.840832	+	0.319572i
$113$	1.01802	−	1.76326i	0.0957674	−	0.165874i	−0.814161	−	0.580639i	$-0.802803\pi$
$113$	1.01802	−	1.76326i	0.0957674	−	0.165874i	0.909929	+	0.414765i	$0.136136\pi$
$114$	−1.41449	−	0.816657i	−0.132479	−	0.0764869i
$115$	0.387437	+	0.387437i	0.0361287	+	0.0361287i
$116$	−1.77623	−	1.02551i	−0.164919	−	0.0952159i
$117$	1.60070	−	3.23075i	0.147985	−	0.298683i
$118$		−	0.937145i		−	0.0862712i
$119$	−6.85653	+	5.59004i	−0.628537	+	0.512438i
$120$	1.78003	+	3.08311i	0.162494	+	0.281448i
$121$			5.23132i			0.475574i
$122$	−0.841505	−	3.14054i	−0.0761863	−	0.284331i
$123$	−2.95993	+	11.0466i	−0.266888	+	0.996040i
$124$	7.27329	+	7.27329i	0.653161	+	0.653161i
$125$	5.15799	+	5.15799i	0.461345	+	0.461345i
$126$	−0.282199	−	0.628217i	−0.0251403	−	0.0559660i
$127$	5.00974	−	2.89237i	0.444542	−	0.256657i	−0.260980	−	0.965344i	$-0.584046\pi$
$127$	5.00974	−	2.89237i	0.444542	−	0.256657i	0.705522	+	0.708688i	$0.250712\pi$
$128$	1.97696	+	7.37811i	0.174740	+	0.652139i
$129$	−3.89270	+	6.74236i	−0.342733	+	0.593632i
$130$	−1.44920	+	2.92497i	−0.127103	+	0.256537i
$131$	−7.30515	+	4.21763i	−0.638254	+	0.368496i	−0.783942	−	0.620835i	$-0.786794\pi$
$131$	−7.30515	+	4.21763i	−0.638254	+	0.368496i	0.145688	+	0.989331i	$0.453460\pi$
$132$	4.48275	+	1.20115i	0.390173	+	0.104547i
$133$	13.4631	+	9.71349i	1.16740	+	0.842266i
$134$	0.961739	+	0.555260i	0.0830816	+	0.0479672i
$135$	−0.900201	+	3.35960i	−0.0774770	+	0.289148i
$136$	−3.30583	−	0.885795i	−0.283473	−	0.0759563i
$137$	−2.58836	−	0.693549i	−0.221139	−	0.0592539i	0.146548	−	0.989203i	$-0.453184\pi$
$137$	−2.58836	−	0.693549i	−0.221139	−	0.0592539i	−0.367687	+	0.929950i	$0.619850\pi$
$138$	0.0106131	−	0.0396087i	0.000903449	−	0.00337172i
$139$	−6.31386	−	3.64531i	−0.535534	−	0.309191i	0.207733	−	0.978186i	$-0.433392\pi$
$139$	−6.31386	−	3.64531i	−0.535534	−	0.309191i	−0.743267	+	0.668995i	$0.766725\pi$
$140$	−7.28595	−	16.2196i	−0.615775	−	1.37081i
$141$	7.60944	+	2.03894i	0.640830	+	0.171710i
$142$	0.722381	−	0.417067i	0.0606209	−	0.0349995i
$143$	2.76838	+	8.20542i	0.231503	+	0.686172i
$144$	−1.79903	+	3.11601i	−0.149919	+	0.259667i
$145$	0.955534	+	3.56610i	0.0793528	+	0.296149i
$146$	1.71913	−	0.992539i	0.142276	−	0.0821431i
$147$	2.20720	+	6.64291i	0.182047	+	0.547898i
$148$	3.35624	+	3.35624i	0.275882	+	0.275882i
$149$	15.6641	+	15.6641i	1.28325	+	1.28325i	0.938807	+	0.344443i	$0.111932\pi$
$149$	15.6641	+	15.6641i	1.28325	+	1.28325i	0.344443	+	0.938807i	$0.388068\pi$
$150$	0.478147	−	1.78447i	0.0390405	−	0.145701i
$151$	0.0610444	+	0.227821i	0.00496772	+	0.0185398i	0.968365	−	0.249537i	$-0.0802785\pi$
$151$	0.0610444	+	0.227821i	0.00496772	+	0.0185398i	−0.963397	+	0.268077i	$0.913612\pi$
$152$			6.42259i			0.520941i
$153$	−1.67183	−	2.89570i	−0.135160	−	0.234103i
$154$	1.54619	+	0.587655i	0.124596	+	0.0473546i
$155$		−	18.5152i		−	1.48717i
$156$	−6.95272	+	0.442737i	−0.556663	+	0.0354473i
$157$	7.43594	+	4.29314i	0.593452	+	0.342630i	0.766461	−	0.642290i	$-0.222016\pi$
$157$	7.43594	+	4.29314i	0.593452	+	0.342630i	−0.173009	+	0.984920i	$0.555349\pi$
$158$	1.16750	+	1.16750i	0.0928814	+	0.0928814i
$159$	5.54063	+	3.19888i	0.439400	+	0.253688i
$160$	5.18882	−	8.98730i	0.410212	−	0.710509i
$161$	−0.148075	+	0.389604i	−0.0116700	+	0.0307051i
$162$	0.251431	−	0.0673706i	0.0197543	−	0.00529314i
$163$	9.69493	−	9.69493i	0.759366	−	0.759366i	−0.216841	−	0.976207i	$-0.569575\pi$
$163$	9.69493	−	9.69493i	0.759366	−	0.759366i	0.976207	+	0.216841i	$0.0695754\pi$
$164$	21.3448	−	5.71931i	1.66675	−	0.446603i
$165$	−4.17688	−	7.23457i	−0.325170	−	0.563210i
$166$	1.93171	−	3.34581i	0.149930	−	0.259686i
$167$	−6.17130	+	23.0316i	−0.477549	+	1.78224i	0.133945	+	0.990989i	$0.457236\pi$
$167$	−6.17130	+	23.0316i	−0.477549	+	1.78224i	−0.611494	+	0.791249i	$0.709431\pi$
$168$	−1.58451	+	2.19616i	−0.122247	+	0.169437i
$169$	−7.87553	−	10.3429i	−0.605810	−	0.795609i
$170$	1.51360	+	2.62163i	0.116088	+	0.201070i
$171$	−4.43691	+	4.43691i	−0.339299	+	0.339299i
$172$	15.0433			1.14704
$173$	23.6712			1.79969			0.899845	−	0.436210i	$-0.143679\pi$
$173$	23.6712			1.79969			0.899845	+	0.436210i	$0.143679\pi$
$174$	0.195374	−	0.195374i	0.0148112	−	0.0148112i
$175$	−6.67115	+	17.5526i	−0.504291	+	1.32685i
$176$	−2.23667	−	8.34737i	−0.168595	−	0.629207i
$177$	−3.47757	−	0.931813i	−0.261390	−	0.0700393i
$178$	−3.23772	+	1.86930i	−0.242677	+	0.140110i
$179$		−	8.63009i		−	0.645043i	−0.946562	−	0.322522i	$-0.895469\pi$
$179$		−	8.63009i		−	0.645043i	0.946562	−	0.322522i	$-0.104531\pi$
$180$	6.49156	−	1.73941i	0.483852	−	0.129648i
$181$	−17.8086			−1.32370			−0.661850	−	0.749636i	$-0.730228\pi$
$181$	−17.8086			−1.32370			−0.661850	+	0.749636i	$0.730228\pi$
$182$	−2.48133	−	0.0938715i	−0.183928	−	0.00695822i
$183$	−12.4907			−0.923337
$184$	−0.155751	+	0.0417334i	−0.0114821	+	0.00307663i
$185$		−	8.54378i		−	0.628151i
$186$	−1.20002	+	0.692833i	−0.0879898	+	0.0508009i
$187$	7.75719	+	2.07853i	0.567262	+	0.151997i
$188$	−3.93974	−	14.7033i	−0.287335	−	1.07235i
$189$	−2.61179	+	0.422545i	−0.189980	+	0.0307356i
$190$	4.01697	−	4.01697i	0.291421	−	0.291421i
$191$	11.4675			0.829757			0.414879	−	0.909877i	$-0.363824\pi$
$191$	11.4675			0.829757			0.414879	+	0.909877i	$0.363824\pi$
$192$	6.41945			0.463284
$193$	−11.3907	+	11.3907i	−0.819918	+	0.819918i	−0.986096	−	0.166178i	$-0.946857\pi$
$193$	−11.3907	+	11.3907i	−0.819918	+	0.819918i	0.166178	+	0.986096i	$0.446857\pi$
$194$	−0.707336	−	1.22514i	−0.0507837	−	0.0879600i
$195$	9.41308	+	8.28603i	0.674085	+	0.593375i
$196$	8.98364	−	10.1113i	0.641688	−	0.722238i
$197$	−5.08168	+	18.9651i	−0.362055	+	1.35121i	0.509315	+	0.860580i	$0.329899\pi$
$197$	−5.08168	+	18.9651i	−0.362055	+	1.35121i	−0.871370	+	0.490627i	$0.836768\pi$
$198$	−0.312595	+	0.541431i	−0.0222152	+	0.0384778i
$199$	−0.303972	−	0.526495i	−0.0215480	−	0.0373222i	0.855050	−	0.518545i	$-0.173526\pi$
$199$	−0.303972	−	0.526495i	−0.0215480	−	0.0373222i	−0.876598	+	0.481223i	$0.840193\pi$
$200$	−7.01696	+	1.88019i	−0.496174	+	0.132949i
$201$	3.01674	−	3.01674i	0.212784	−	0.212784i
$202$	−0.0416129	+	0.0111501i	−0.00292787	+	0.000784521i
$203$	−2.17665	+	1.77459i	−0.152771	+	0.124552i
$204$	−3.23038	+	5.59519i	−0.226172	+	0.391742i
$205$	−34.4476	−	19.8884i	−2.40593	−	1.38906i
$206$	−3.13262	−	3.13262i	−0.218260	−	0.218260i
$207$	−0.136428	−	0.0787667i	−0.00948240	−	0.00547467i
$208$	7.18735	+	10.8000i	0.498353	+	0.748845i
$209$		−	15.0707i		−	1.04246i
$210$	2.36459	−	0.382552i	0.163172	−	0.0263986i
$211$	−5.93600	−	10.2814i	−0.408651	−	0.707804i	0.586088	−	0.810247i	$-0.300667\pi$
$211$	−5.93600	−	10.2814i	−0.408651	−	0.707804i	−0.994739	+	0.102443i	$0.967334\pi$
$212$		−	12.3620i		−	0.849029i
$213$	−0.829388	−	3.09532i	−0.0568287	−	0.212088i
$214$	0.968717	−	3.61530i	0.0662201	−	0.247137i
$215$	−19.1474	−	19.1474i	−1.30584	−	1.30584i
$216$	−0.723769	−	0.723769i	−0.0492462	−	0.0492462i
$217$	12.8475	−	5.77118i	0.872147	−	0.391773i
$218$	0.824689	−	0.476135i	0.0558550	−	0.0322479i
$219$	−1.97378	−	7.36626i	−0.133376	−	0.497766i
$220$	−8.07075	+	13.9789i	−0.544130	+	0.942460i
$221$	−12.0314	+	0.766137i	−0.809318	+	0.0515359i
$222$	−0.553747	+	0.319706i	−0.0371651	+	0.0214573i
$223$	−13.6762	−	3.66451i	−0.915823	−	0.245394i	−0.230024	−	0.973185i	$-0.573880\pi$
$223$	−13.6762	−	3.66451i	−0.915823	−	0.245394i	−0.685799	+	0.727791i	$0.740547\pi$
$224$	7.85358	+	0.799137i	0.524739	+	0.0533946i
$225$	−6.14641	−	3.54863i	−0.409760	−	0.236575i
$226$	0.137169	−	0.511923i	0.00912437	−	0.0340526i
$227$	−26.6767	−	7.14799i	−1.77059	−	0.474429i	−0.781774	−	0.623561i	$-0.785685\pi$
$227$	−26.6767	−	7.14799i	−1.77059	−	0.474429i	−0.988817	+	0.149133i	$0.952352\pi$
$228$	11.7112	+	3.13800i	0.775593	+	0.207819i
$229$	−3.56611	+	13.3089i	−0.235655	+	0.879478i	0.742197	+	0.670182i	$0.233784\pi$
$229$	−3.56611	+	13.3089i	−0.235655	+	0.879478i	−0.977852	+	0.209296i	$0.932883\pi$
$230$	0.123515	+	0.0713117i	0.00814437	+	0.00470215i
$231$	3.71807	−	5.15332i	0.244631	−	0.339064i
$232$	−1.04946	−	0.281201i	−0.0689003	−	0.0184618i
$233$	16.7885	−	9.69285i	1.09985	−	0.635000i	0.163670	−	0.986515i	$-0.447667\pi$
$233$	16.7885	−	9.69285i	1.09985	−	0.635000i	0.936182	+	0.351516i	$0.114334\pi$
$234$	0.184807	−	0.920150i	0.0120812	−	0.0601521i
$235$	−13.7001	+	23.7292i	−0.893693	+	1.54792i
$236$	1.80049	+	6.71952i	0.117202	+	0.437403i
$237$	5.49324	−	3.17152i	0.356824	−	0.206013i
$238$	−1.34734	+	1.86743i	−0.0873349	+	0.121048i
$239$	2.28662	+	2.28662i	0.147909	+	0.147909i	0.777183	−	0.629274i	$-0.216648\pi$
$239$	2.28662	+	2.28662i	0.147909	+	0.147909i	−0.629274	+	0.777183i	$0.716648\pi$
$240$	−8.84904	−	8.84904i	−0.571203	−	0.571203i
$241$	0.546836	−	2.04082i	0.0352248	−	0.131461i	−0.946074	−	0.323949i	$-0.894989\pi$
$241$	0.546836	−	2.04082i	0.0352248	−	0.131461i	0.981299	+	0.192489i	$0.0616559\pi$
$242$	0.352437	+	1.31531i	0.0226555	+	0.0845515i
$243$		−	1.00000i		−	0.0641500i
$244$	12.0675	+	20.9016i	0.772544	+	1.33808i
$245$	−24.3044	+	1.43535i	−1.55275	+	0.0917009i
$246$			2.97687i			0.189798i
$247$	7.23240	+	21.4367i	0.460187	+	1.36398i
$248$	4.71878	+	2.72439i	0.299643	+	0.172999i
$249$	−10.4950	−	10.4950i	−0.665093	−	0.665093i
$250$	1.64437	+	0.949379i	0.103999	+	0.0600440i
$251$	−3.94432	+	6.83176i	−0.248963	+	0.431217i	−0.963238	−	0.268648i	$-0.913423\pi$
$251$	−3.94432	+	6.83176i	−0.248963	+	0.431217i	0.714275	+	0.699865i	$0.246757\pi$
$252$	3.23038	+	3.96227i	0.203495	+	0.249600i
$253$	0.365473	−	0.0979281i	0.0229771	−	0.00615669i
$254$	1.06474	−	1.06474i	0.0668077	−	0.0668077i
$255$	11.2334	−	3.00997i	0.703460	−	0.188492i
$256$	−5.42531	−	9.39692i	−0.339082	−	0.587308i
$257$	−12.3451	+	21.3823i	−0.770064	+	1.33379i	0.167464	+	0.985878i	$0.446442\pi$
$257$	−12.3451	+	21.3823i	−0.770064	+	1.33379i	−0.937528	+	0.347911i	$0.886891\pi$
$258$	−0.524508	+	1.95749i	−0.0326544	+	0.121868i
$259$	5.92846	−	2.66310i	0.368377	−	0.165477i
$260$	4.77143	−	23.7569i	0.295912	−	1.47334i
$261$	−0.530733	−	0.919257i	−0.0328516	−	0.0569006i
$262$	−1.55259	+	1.55259i	−0.0959195	+	0.0959195i
$263$	0.287705			0.0177407			0.00887034	−	0.999961i	$-0.497176\pi$
$263$	0.287705			0.0177407			0.00887034	+	0.999961i	$0.497176\pi$
$264$	2.45840			0.151304
$265$	−15.7346	+	15.7346i	−0.966571	+	0.966571i
$266$	4.03943	+	1.53525i	0.247673	+	0.0941323i
$267$	3.71732	+	13.8732i	0.227496	+	0.849028i
$268$	−7.96265	−	2.13359i	−0.486397	−	0.130330i
$269$	2.21411	−	1.27832i	0.134997	−	0.0779404i	−0.430981	−	0.902361i	$-0.641832\pi$
$269$	2.21411	−	1.27832i	0.134997	−	0.0779404i	0.565977	+	0.824421i	$0.308499\pi$
$270$			0.905353i			0.0550980i
$271$	20.4852	−	5.48899i	1.24439	−	0.333432i	0.424221	−	0.905559i	$-0.360548\pi$
$271$	20.4852	−	5.48899i	1.24439	−	0.333432i	0.820165	+	0.572127i	$0.193881\pi$
$272$	12.0307			0.729467
$273$	−2.81555	+	9.11442i	−0.170405	+	0.551630i
$274$	−0.697518			−0.0421386
$275$	16.4654	−	4.41190i	0.992902	−	0.266047i
$276$			0.304393i			0.0183223i
$277$	7.21292	−	4.16438i	0.433383	−	0.250214i	−0.267404	−	0.963585i	$-0.586166\pi$
$277$	7.21292	−	4.16438i	0.433383	−	0.250214i	0.700787	+	0.713371i	$0.252832\pi$
$278$	−1.83308	−	0.491173i	−0.109941	−	0.0294586i
$279$	1.37778	+	5.14195i	0.0824856	+	0.307840i
$280$	−5.95183	−	7.30029i	−0.355690	−	0.436276i
$281$	−6.21366	+	6.21366i	−0.370676	+	0.370676i	−0.867723	−	0.497048i	$-0.834417\pi$
$281$	−6.21366	+	6.21366i	−0.370676	+	0.370676i	0.497048	+	0.867723i	$0.334417\pi$
$282$	2.05061			0.122112
$283$	−2.89632			−0.172169			−0.0860843	−	0.996288i	$-0.527435\pi$
$283$	−2.89632			−0.172169			−0.0860843	+	0.996288i	$0.527435\pi$
$284$	−4.37833	+	4.37833i	−0.259806	+	0.259806i
$285$	−10.9121	−	18.9003i	−0.646378	−	1.11956i
$286$	1.24886	+	1.87659i	0.0738466	+	0.110965i
$287$	3.06303	−	30.1022i	0.180805	−	1.77687i
$288$	−0.772239	+	2.88203i	−0.0455046	+	0.169825i
$289$	2.90996	−	5.04021i	0.171174	−	0.296483i
$290$	0.480501	+	0.832252i	0.0282160	+	0.0488715i
$291$	−5.24959	+	1.40662i	−0.307736	+	0.0824576i
$292$	−10.4196	+	10.4196i	−0.609760	+	0.609760i
$293$	5.02628	−	1.34679i	0.293639	−	0.0786802i	−0.108993	−	0.994043i	$-0.534762\pi$
$293$	5.02628	−	1.34679i	0.293639	−	0.0786802i	0.402631	+	0.915362i	$0.368096\pi$
$294$	1.00249	+	1.52153i	0.0584667	+	0.0887375i
$295$	6.26103	−	10.8444i	0.364531	−	0.631387i
$296$	2.17747	+	1.25716i	0.126563	+	0.0730711i
$297$	1.69834	+	1.69834i	0.0985474	+	0.0985474i
$298$	4.99372	+	2.88313i	0.289279	+	0.167015i
$299$	−0.472856	+	0.314683i	−0.0273460	+	0.0181986i
$300$			13.7136i			0.791757i
$301$	7.31798	−	19.2545i	0.421801	−	1.10981i
$302$	0.0306968	+	0.0531685i	0.00176640	+	0.00305950i
$303$			0.165504i			0.00950798i
$304$	−5.84332	−	21.8076i	−0.335137	−	1.25075i
$305$	11.2441	−	41.9637i	0.643837	−	2.40283i
$306$	−0.615434	−	0.615434i	−0.0351820	−	0.0351820i
$307$	1.10470	+	1.10470i	0.0630485	+	0.0630485i	0.737928	−	0.674879i	$-0.235804\pi$
$307$	1.10470	+	1.10470i	0.0630485	+	0.0630485i	−0.674879	+	0.737928i	$0.735804\pi$
$308$	−12.2155	−	1.24299i	−0.696045	−	0.0708257i
$309$	−14.7394	+	8.50977i	−0.838493	+	0.484104i
$310$	−1.24738	−	4.65528i	−0.0708463	−	0.264402i
$311$	−14.6804	+	25.4273i	−0.832451	+	1.44185i	0.0636376	+	0.997973i	$0.479730\pi$
$311$	−14.6804	+	25.4273i	−0.832451	+	1.44185i	−0.896089	+	0.443875i	$0.853603\pi$
$312$	−3.49685	+	1.17978i	−0.197970	+	0.0667920i
$313$	−2.54238	+	1.46784i	−0.143704	+	0.0829673i	−0.570128	−	0.821556i	$-0.693106\pi$
$313$	−2.54238	+	1.46784i	−0.143704	+	0.0829673i	0.426424	+	0.904523i	$0.359773\pi$
$314$	2.15885	+	0.578463i	0.121831	+	0.0326446i
$315$	0.931557	−	9.15494i	0.0524873	−	0.515823i
$316$	−10.6143	−	6.12816i	−0.597100	−	0.344736i
$317$	−4.87405	+	18.1902i	−0.273754	+	1.02166i	0.682918	+	0.730495i	$0.260711\pi$
$317$	−4.87405	+	18.1902i	−0.273754	+	1.02166i	−0.956672	+	0.291169i	$0.905956\pi$
$318$	1.60859	+	0.431021i	0.0902055	+	0.0241705i
$319$	2.46257	+	0.659844i	0.137877	+	0.0369441i
$320$	−5.77880	+	21.5668i	−0.323045	+	1.20562i
$321$	−12.4525	−	7.18946i	−0.695031	−	0.401277i
$322$	−0.0109828	+	0.107934i	−0.000612047	+	0.00601494i
$323$	20.2657	+	5.43018i	1.12761	+	0.302143i
$324$	−1.67337	+	0.966122i	−0.0929651	+	0.0536734i
$325$	−21.3033	+	14.1772i	−1.18169	+	0.786412i
$326$	1.78445	−	3.09076i	0.0988315	−	0.171181i
$327$	−0.946851	−	3.53370i	−0.0523610	−	0.195414i
$328$	10.1375	−	5.85289i	0.559750	−	0.323172i
$329$	−20.7358	−	2.10996i	−1.14320	−	0.116326i
$330$	−1.53759	−	1.53759i	−0.0846417	−	0.0846417i
$331$	2.34537	+	2.34537i	0.128913	+	0.128913i	0.768619	−	0.639706i	$-0.220944\pi$
$331$	2.34537	+	2.34537i	0.128913	+	0.128913i	−0.639706	+	0.768619i	$0.720944\pi$
$332$	−7.42258	+	27.7015i	−0.407367	+	1.52031i
$333$	0.635774	+	2.37274i	0.0348402	+	0.130025i
$334$			6.20661i			0.339611i
$335$	7.41935	+	12.8507i	0.405362	+	0.702108i
$336$	3.38203	−	8.89853i	0.184505	−	0.485455i
$337$			10.8862i			0.593007i	0.955032	+	0.296503i	$0.0958206\pi$
$337$			10.8862i			0.593007i	−0.955032	+	0.296503i	$0.904179\pi$
$338$	−2.67696	−	2.06995i	−0.145607	−	0.112590i
$339$	−1.76326	−	1.01802i	−0.0957674	−	0.0552913i
$340$	−15.8896	−	15.8896i	−0.861734	−	0.861734i
$341$	−11.0727	−	6.39282i	−0.599620	−	0.346191i
$342$	−0.816657	+	1.41449i	−0.0441598	+	0.0764869i
$343$	−8.57168	−	16.4173i	−0.462827	−	0.886449i
$344$	7.69732	−	2.06249i	0.415012	−	0.111202i
$345$	0.387437	−	0.387437i	0.0208589	−	0.0208589i
$346$	5.95167	−	1.59475i	0.319964	−	0.0857340i
$347$	7.18342	+	12.4421i	0.385626	+	0.667925i	0.991856	−	0.127365i	$-0.0406520\pi$
$347$	7.18342	+	12.4421i	0.385626	+	0.667925i	−0.606229	+	0.795290i	$0.707319\pi$
$348$	−1.02551	+	1.77623i	−0.0549729	+	0.0952159i
$349$	7.51762	−	28.0561i	0.402409	−	1.50181i	−0.406376	−	0.913706i	$-0.633208\pi$
$349$	7.51762	−	28.0561i	0.402409	−	1.50181i	0.808785	−	0.588105i	$-0.200126\pi$
$350$	−0.494801	+	4.86270i	−0.0264482	+	0.259922i
$351$	−3.23075	−	1.60070i	−0.172445	−	0.0854390i
$352$	−3.58314	−	6.20618i	−0.190982	−	0.330790i
$353$	−2.64326	+	2.64326i	−0.140686	+	0.140686i	−0.773942	−	0.633256i	$-0.781718\pi$
$353$	−2.64326	+	2.64326i	−0.140686	+	0.140686i	0.633256	+	0.773942i	$0.281718\pi$
$354$	−0.937145			−0.0498087
$355$	11.1456			0.591549
$356$	19.6237	−	19.6237i	1.04005	−	1.04005i
$357$	5.59004	+	6.85653i	0.295856	+	0.362886i
$358$	−0.581415	−	2.16987i	−0.0307287	−	0.114681i
$359$	2.82335	+	0.756515i	0.149011	+	0.0399273i	0.332553	−	0.943084i	$-0.392090\pi$
$359$	2.82335	+	0.756515i	0.149011	+	0.0399273i	−0.183543	+	0.983012i	$0.558757\pi$
$360$	3.08311	−	1.78003i	0.162494	−	0.0938160i
$361$		−	20.3723i		−	1.07223i
$362$	−4.47762	+	1.19977i	−0.235338	+	0.0630587i
$363$	5.23132			0.274573
$364$	17.9720	−	4.09418i	0.941988	−	0.214593i
$365$	26.5245			1.38835
$366$	−3.14054	+	0.841505i	−0.164159	+	0.0439862i
$367$			6.18703i			0.322960i	0.986876	+	0.161480i	$0.0516268\pi$
$367$			6.18703i			0.322960i	−0.986876	+	0.161480i	$0.948373\pi$
$368$	0.490875	−	0.283407i	0.0255886	−	0.0147736i
$369$	11.0466	+	2.95993i	0.575064	+	0.154088i
$370$	−0.575600	−	2.14817i	−0.0299240	−	0.111678i
$371$	−15.8226	−	6.01365i	−0.821470	−	0.312213i
$372$	7.27329	−	7.27329i	0.377103	−	0.377103i
$373$	−11.9743			−0.620007			−0.310004	−	0.950735i	$-0.600330\pi$
$373$	−11.9743			−0.620007			−0.310004	+	0.950735i	$0.600330\pi$
$374$	2.09043			0.108093
$375$	5.15799	−	5.15799i	0.266357	−	0.266357i
$376$	−4.03175	−	6.98320i	−0.207922	−	0.360131i
$377$	−3.81944	+	0.243215i	−0.196711	+	0.0125262i
$378$	−0.628217	+	0.282199i	−0.0323120	+	0.0145147i
$379$	−6.93204	+	25.8707i	−0.356075	+	1.32889i	0.523051	+	0.852301i	$0.324794\pi$
$379$	−6.93204	+	25.8707i	−0.356075	+	1.32889i	−0.879126	+	0.476589i	$0.841873\pi$
$380$	−21.0849	+	36.5201i	−1.08163	+	1.87344i
$381$	−2.89237	−	5.00974i	−0.148181	−	0.256657i
$382$	2.88327	−	0.772571i	0.147521	−	0.0395281i
$383$	14.8154	−	14.8154i	0.757030	−	0.757030i	−0.218751	−	0.975781i	$-0.570198\pi$
$383$	14.8154	−	14.8154i	0.757030	−	0.757030i	0.975781	+	0.218751i	$0.0701981\pi$
$384$	7.37811	−	1.97696i	0.376513	−	0.100886i
$385$	13.9661	+	17.1303i	0.711777	+	0.873039i
$386$	−2.09656	+	3.63136i	−0.106712	+	0.184831i
$387$	6.74236	+	3.89270i	0.342733	+	0.197877i
$388$	7.42554	+	7.42554i	0.376975	+	0.376975i
$389$	21.0324	+	12.1431i	1.06639	+	0.615678i	0.927192	−	0.374587i	$-0.122216\pi$
$389$	21.0324	+	12.1431i	1.06639	+	0.615678i	0.139194	+	0.990265i	$0.455549\pi$
$390$	2.92497	+	1.44920i	0.148112	+	0.0733829i
$391$			0.526739i			0.0266383i
$392$	3.21043	−	6.40543i	0.162151	−	0.323523i
$393$	4.21763	+	7.30515i	0.212751	+	0.368496i
$394$			5.11076i			0.257476i
$395$	5.71002	+	21.3101i	0.287302	+	1.07223i
$396$	1.20115	−	4.48275i	0.0603600	−	0.225266i
$397$	−19.4197	−	19.4197i	−0.974646	−	0.974646i	0.0250400	−	0.999686i	$-0.492029\pi$
$397$	−19.4197	−	19.4197i	−0.974646	−	0.974646i	−0.999686	+	0.0250400i	$0.992029\pi$
$398$	−0.111898	−	0.111898i	−0.00560894	−	0.00560894i
$399$	9.71349	−	13.4631i	0.486282	−	0.673997i
$400$	22.1151	−	12.7682i	1.10576	−	0.638408i
$401$	4.98067	+	18.5881i	0.248723	+	0.928246i	0.971476	+	0.237139i	$0.0762098\pi$
$401$	4.98067	+	18.5881i	0.248723	+	0.928246i	−0.722753	+	0.691107i	$0.757124\pi$
$402$	0.555260	−	0.961739i	0.0276939	−	0.0479672i
$403$	18.8178	+	3.77944i	0.937380	+	0.188267i
$404$	0.276950	−	0.159897i	0.0137788	−	0.00795520i
$405$	3.35960	+	0.900201i	0.166940	+	0.0447314i
$406$	−0.427721	+	0.592829i	−0.0212274	+	0.0294216i
$407$	−5.10947	−	2.94995i	−0.253267	−	0.146224i
$408$	−0.885795	+	3.30583i	−0.0438534	+	0.163663i
$409$	20.6525	+	5.53381i	1.02120	+	0.273629i	0.730302	−	0.683125i	$-0.239380\pi$
$409$	20.6525	+	5.53381i	1.02120	+	0.273629i	0.290897	+	0.956754i	$0.406046\pi$
$410$	−10.0011	−	2.67978i	−0.493918	−	0.132345i
$411$	−0.693549	+	2.58836i	−0.0342103	+	0.127674i
$412$	28.4800	+	16.4430i	1.40311	+	0.810086i
$413$	9.47643	+	0.964269i	0.466305	+	0.0474486i
$414$	−0.0396087	−	0.0106131i	−0.00194666	−	0.000521607i
$415$	44.7065	−	25.8113i	2.19456	−	1.26703i
$416$	8.07502	+	7.10818i	0.395910	+	0.348507i
$417$	−3.64531	+	6.31386i	−0.178511	+	0.309191i
$418$	−1.01532	−	3.78924i	−0.0496611	−	0.185338i
$419$	−14.3006	+	8.25644i	−0.698629	+	0.403354i	−0.806837	−	0.590775i	$-0.798822\pi$
$419$	−14.3006	+	8.25644i	−0.698629	+	0.403354i	0.108208	+	0.994128i	$0.465489\pi$
$420$	−16.2196	+	7.28595i	−0.791437	+	0.355518i
$421$	21.1398	+	21.1398i	1.03029	+	1.03029i	0.999527	+	0.0307644i	$0.00979416\pi$
$421$	21.1398	+	21.1398i	1.03029	+	1.03029i	0.0307644	+	0.999527i	$0.490206\pi$
$422$	−2.18516	−	2.18516i	−0.106372	−	0.106372i
$423$	2.03894	−	7.60944i	0.0991368	−	0.369984i
$424$	−1.69488	−	6.32538i	−0.0823107	−	0.307188i
$425$			23.7308i			1.15111i
$426$	−0.417067	−	0.722381i	−0.0202070	−	0.0349995i
$427$	32.6230	−	5.27788i	1.57874	−	0.255414i
$428$			27.7836i			1.34297i
$429$	8.20542	−	2.76838i	0.396162	−	0.133659i
$430$	−6.10421	−	3.52427i	−0.294371	−	0.169955i
$431$	−17.3835	−	17.3835i	−0.837332	−	0.837332i	0.151175	−	0.988507i	$-0.451694\pi$
$431$	−17.3835	−	17.3835i	−0.837332	−	0.837332i	−0.988507	+	0.151175i	$0.951694\pi$
$432$	3.11601	+	1.79903i	0.149919	+	0.0865557i
$433$	−3.46814	+	6.00699i	−0.166668	+	0.288677i	−0.937246	−	0.348668i	$-0.886634\pi$
$433$	−3.46814	+	6.00699i	−0.166668	+	0.288677i	0.770578	+	0.637345i	$0.219967\pi$
$434$	2.84145	−	2.31660i	0.136394	−	0.111200i
$435$	3.56610	−	0.955534i	0.170981	−	0.0458143i
$436$	−4.99842	+	4.99842i	−0.239381	+	0.239381i
$437$	0.954799	−	0.255838i	0.0456742	−	0.0122384i
$438$	−0.992539	−	1.71913i	−0.0474254	−	0.0821431i
$439$	13.2444	−	22.9400i	0.632122	−	1.09487i	−0.354995	−	0.934868i	$-0.615517\pi$
$439$	13.2444	−	22.9400i	0.632122	−	1.09487i	0.987117	−	0.159999i	$-0.0511492\pi$
$440$	−2.21306	+	8.25925i	−0.105503	+	0.393744i
$441$	6.64291	−	2.20720i	0.316329	−	0.105105i
$442$	−2.97344	+	1.00319i	−0.141432	+	0.0477169i
$443$	1.55904	+	2.70033i	0.0740721	+	0.128297i	0.900682	−	0.434478i	$-0.143067\pi$
$443$	1.55904	+	2.70033i	0.0740721	+	0.128297i	−0.826610	+	0.562775i	$0.809734\pi$
$444$	3.35624	−	3.35624i	0.159280	−	0.159280i
$445$	−49.9548			−2.36809
$446$	−3.68548			−0.174513
$447$	15.6641	−	15.6641i	0.740885	−	0.740885i
$448$	−16.7663	+	2.71251i	−0.792132	+	0.128154i
$449$	5.83960	+	21.7937i	0.275588	+	1.02851i	0.955447	+	0.295164i	$0.0953743\pi$
$449$	5.83960	+	21.7937i	0.275588	+	1.02851i	−0.679859	+	0.733343i	$0.737959\pi$
$450$	−1.78447	−	0.478147i	−0.0841206	−	0.0225401i
$451$	−23.7878	+	13.7339i	−1.12012	+	0.646704i
$452$			3.93413i			0.185046i
$453$	0.227821	−	0.0610444i	0.0107040	−	0.00286811i
$454$	−7.18889			−0.337391
$455$	−28.0862	−	17.6639i	−1.31670	−	0.828098i
$456$	6.42259			0.300765
$457$	8.91713	−	2.38934i	0.417126	−	0.111769i	−0.0441508	−	0.999025i	$-0.514058\pi$
$457$	8.91713	−	2.38934i	0.417126	−	0.111769i	0.461277	+	0.887256i	$0.347392\pi$
$458$			3.58652i			0.167587i
$459$	−2.89570	+	1.67183i	−0.135160	+	0.0780344i
$460$	−1.02264	−	0.274015i	−0.0476808	−	0.0127760i
$461$	3.09228	+	11.5406i	0.144022	+	0.537497i	0.999797	+	0.0201490i	$0.00641406\pi$
$461$	3.09228	+	11.5406i	0.144022	+	0.537497i	−0.855775	+	0.517348i	$0.826919\pi$
$462$	0.587655	−	1.54619i	0.0273402	−	0.0719353i
$463$	−22.7391	+	22.7391i	−1.05678	+	1.05678i	−0.0584872	+	0.998288i	$0.518628\pi$
$463$	−22.7391	+	22.7391i	−1.05678	+	1.05678i	−0.998288	+	0.0584872i	$0.981372\pi$
$464$	3.81921			0.177303
$465$	−18.5152			−0.858620
$466$	3.56813	−	3.56813i	0.165290	−	0.165290i
$467$	13.7877	+	23.8810i	0.638018	+	1.10508i	0.985867	+	0.167529i	$0.0535787\pi$
$467$	13.7877	+	23.8810i	0.638018	+	1.10508i	−0.347849	+	0.937550i	$0.613088\pi$
$468$	0.442737	+	6.95272i	0.0204655	+	0.321390i
$469$	−6.60438	+	9.15379i	−0.304962	+	0.422683i
$470$	−1.84596	+	6.88923i	−0.0851479	+	0.317776i
$471$	4.29314	−	7.43594i	0.197817	−	0.342630i
$472$	1.84254	+	3.19137i	0.0848098	+	0.146895i
$473$	−18.0619	+	4.83967i	−0.830487	+	0.222528i
$474$	1.16750	−	1.16750i	0.0536251	−	0.0536251i
$475$	43.0160	−	11.5261i	1.97371	−	0.528854i
$476$	6.07287	−	15.9785i	0.278350	−	0.732371i
$477$	3.19888	−	5.54063i	0.146467	−	0.253688i
$478$	0.728978	+	0.420876i	0.0333427	+	0.0192504i
$479$	−25.4680	−	25.4680i	−1.16366	−	1.16366i	−0.983668	−	0.179995i	$-0.942392\pi$
$479$	−25.4680	−	25.4680i	−1.16366	−	1.16366i	−0.179995	−	0.983668i	$-0.557608\pi$
$480$	−8.98730	−	5.18882i	−0.410212	−	0.236836i
$481$	8.68342	+	1.74401i	0.395930	+	0.0795202i
$482$		−	0.549965i		−	0.0250502i
$483$	0.389604	+	0.148075i	0.0177276	+	0.00673766i
$484$	−5.05409	−	8.75394i	−0.229731	−	0.397906i
$485$		−	18.9027i		−	0.858329i
$486$	−0.0673706	−	0.251431i	−0.00305599	−	0.0114051i
$487$	−3.81057	+	14.2212i	−0.172673	+	0.644426i	0.824263	+	0.566207i	$0.191590\pi$
$487$	−3.81057	+	14.2212i	−0.172673	+	0.644426i	−0.996936	+	0.0782187i	$0.975077\pi$
$488$	9.04036	+	9.04036i	0.409238	+	0.409238i
$489$	−9.69493	−	9.69493i	−0.438420	−	0.438420i
$490$	−6.01418	+	1.99829i	−0.271693	+	0.0902737i
$491$	−16.5448	+	9.55215i	−0.746657	+	0.431082i	−0.824485	−	0.565884i	$-0.808535\pi$
$491$	−16.5448	+	9.55215i	−0.746657	+	0.431082i	0.0778279	+	0.996967i	$0.475202\pi$
$492$	−5.71931	−	21.3448i	−0.257846	−	0.962296i
$493$	−1.77459	+	3.07368i	−0.0799236	+	0.138432i
$494$	3.26265	+	4.90259i	0.146794	+	0.220578i
$495$	−7.23457	+	4.17688i	−0.325170	+	0.187737i
$496$	−18.5010	−	4.95733i	−0.830720	−	0.222591i
$497$	3.47410	+	7.73387i	0.155835	+	0.346912i
$498$	−3.34581	−	1.93171i	−0.149930	−	0.0865618i
$499$	−3.67959	+	13.7324i	−0.164721	+	0.614747i	0.833355	+	0.552739i	$0.186417\pi$
$499$	−3.67959	+	13.7324i	−0.164721	+	0.614747i	−0.998076	+	0.0620086i	$0.980249\pi$
$500$	−13.6145	−	3.64799i	−0.608858	−	0.163143i
$501$	23.0316	+	6.17130i	1.02898	+	0.275713i
$502$	−0.531463	+	1.98345i	−0.0237203	+	0.0885255i
$503$	−9.55709	−	5.51779i	−0.426130	−	0.246026i	0.271567	−	0.962420i	$-0.412458\pi$
$503$	−9.55709	−	5.51779i	−0.426130	−	0.246026i	−0.697696	+	0.716394i	$0.745792\pi$
$504$	2.19616	+	1.58451i	0.0978246	+	0.0705796i
$505$	−0.556028	−	0.148987i	−0.0247429	−	0.00662985i
$506$	0.0852935	−	0.0492442i	0.00379176	−	0.00218917i
$507$	−10.3429	+	7.87553i	−0.459345	+	0.349765i
$508$	−5.58877	+	9.68003i	−0.247962	+	0.429482i
$509$	−0.0752460	−	0.280822i	−0.00333522	−	0.0124472i	0.964238	−	0.265037i	$-0.0853843\pi$
$509$	−0.0752460	−	0.280822i	−0.00333522	−	0.0124472i	−0.967573	+	0.252590i	$0.918718\pi$
$510$	2.62163	−	1.51360i	0.116088	−	0.0670232i
$511$	8.26769	+	18.4051i	0.365741	+	0.814195i
$512$	−12.7995	−	12.7995i	−0.565662	−	0.565662i
$513$	4.43691	+	4.43691i	0.195894	+	0.195894i
$514$	−1.66339	+	6.20785i	−0.0733689	+	0.273817i
$515$	−15.3210	−	57.1788i	−0.675125	−	2.51960i
$516$		−	15.0433i		−	0.662244i
$517$	9.46057	+	16.3862i	0.416075	+	0.720664i
$518$	1.31118	−	1.06899i	0.0576100	−	0.0469687i
$519$		−	23.6712i		−	1.03905i
$520$	−0.815722	−	12.8101i	−0.0357718	−	0.561758i
$521$	−20.5614	−	11.8711i	−0.900811	−	0.520084i	−0.0233479	−	0.999727i	$-0.507433\pi$
$521$	−20.5614	−	11.8711i	−0.900811	−	0.520084i	−0.877463	+	0.479644i	$0.840766\pi$
$522$	−0.195374	−	0.195374i	−0.00855127	−	0.00855127i
$523$	−12.3304	−	7.11898i	−0.539172	−	0.311291i	0.205571	−	0.978642i	$-0.434095\pi$
$523$	−12.3304	−	7.11898i	−0.539172	−	0.311291i	−0.744743	+	0.667351i	$0.767428\pi$
$524$	8.14949	−	14.1153i	0.356012	−	0.616631i
$525$	17.5526	+	6.67115i	0.766058	+	0.291153i
$526$	0.0723380	−	0.0193829i	0.00315408	−	0.000845134i
$527$	12.5861	−	12.5861i	0.548259	−	0.548259i
$528$	−8.34737	+	2.23667i	−0.363273	+	0.0973387i
$529$	−11.4876	−	19.8971i	−0.499461	−	0.865091i
$530$	−2.89612	+	5.01622i	−0.125799	+	0.217891i
$531$	−0.931813	+	3.47757i	−0.0404372	+	0.150914i
$532$	−31.9131	−	3.24731i	−1.38361	−	0.140789i
$533$	27.2451	−	30.9509i	1.18012	−	1.34063i
$534$	1.86930	+	3.23772i	0.0808924	+	0.140110i
$535$	35.3635	−	35.3635i	1.52890	−	1.52890i
$536$	−4.36684			−0.188619
$537$	−8.63009			−0.372416
$538$	0.470574	−	0.470574i	0.0202879	−	0.0202879i
$539$	−7.53332	+	15.0305i	−0.324483	+	0.647407i
$540$	−1.73941	−	6.49156i	−0.0748522	−	0.279352i
$541$	−12.5925	−	3.37414i	−0.541392	−	0.145066i	−0.0222483	−	0.999752i	$-0.507082\pi$
$541$	−12.5925	−	3.37414i	−0.541392	−	0.145066i	−0.519144	+	0.854687i	$0.673749\pi$
$542$	4.78080	−	2.76020i	0.205353	−	0.118561i
$543$			17.8086i			0.764239i
$544$	9.63654	−	2.58210i	0.413163	−	0.110707i
$545$	12.7242			0.545043
$546$	−0.0938715	+	2.48133i	−0.00401733	+	0.106191i
$547$	−23.0077			−0.983737			−0.491868	−	0.870670i	$-0.663686\pi$
$547$	−23.0077			−0.983737			−0.491868	+	0.870670i	$0.663686\pi$
$548$	5.00134	−	1.34011i	0.213647	−	0.0572465i
$549$			12.4907i			0.533089i
$550$	3.84268	−	2.21857i	0.163852	−	0.0946002i
$551$	6.43347	+	1.72384i	0.274075	+	0.0734382i
$552$	0.0417334	+	0.155751i	0.00177629	+	0.00662921i
$553$	−13.0071	+	10.6045i	−0.553118	+	0.450949i
$554$	1.53299	−	1.53299i	0.0651306	−	0.0651306i
$555$	−8.54378			−0.362663
$556$	14.0872			0.597432
$557$	−29.3023	+	29.3023i	−1.24158	+	1.24158i	−0.282234	+	0.959346i	$0.591076\pi$
$557$	−29.3023	+	29.3023i	−1.24158	+	1.24158i	−0.959346	+	0.282234i	$0.908924\pi$
$558$	0.692833	+	1.20002i	0.0293299	+	0.0508009i
$559$	23.3688	−	15.5519i	0.988397	−	0.657773i
$560$	26.8510	+	19.3727i	1.13466	+	0.818647i
$561$	2.07853	−	7.75719i	0.0877557	−	0.327509i
$562$	−1.14369	+	1.98092i	−0.0482434	+	0.0835601i
$563$	18.4739	+	31.9978i	0.778583	+	1.34855i	0.932758	+	0.360502i	$0.117395\pi$
$563$	18.4739	+	31.9978i	0.778583	+	1.34855i	−0.154175	+	0.988044i	$0.549272\pi$
$564$	−14.7033	+	3.93974i	−0.619120	+	0.165893i
$565$	5.00743	−	5.00743i	0.210664	−	0.210664i
$566$	−0.728225	+	0.195127i	−0.0306096	+	0.00820181i
$567$	0.422545	+	2.61179i	0.0177452	+	0.109685i
$568$	−1.64001	+	2.84058i	−0.0688132	+	0.119188i
$569$	21.0406	+	12.1478i	0.882067	+	0.509261i	0.871339	−	0.490681i	$-0.163252\pi$
$569$	21.0406	+	12.1478i	0.882067	+	0.509261i	0.0107274	+	0.999942i	$0.496585\pi$
$570$	−4.01697	−	4.01697i	−0.168252	−	0.168252i
$571$	−6.47289	−	3.73712i	−0.270882	−	0.156394i	0.358406	−	0.933566i	$-0.383320\pi$
$571$	−6.47289	−	3.73712i	−0.270882	−	0.156394i	−0.629288	+	0.777172i	$0.716654\pi$
$572$	−12.5600	−	11.0561i	−0.525159	−	0.462280i
$573$		−	11.4675i		−	0.479060i
$574$	−1.25786	−	7.77496i	−0.0525021	−	0.324521i
$575$	0.559028	+	0.968265i	0.0233131	+	0.0403794i
$576$		−	6.41945i		−	0.267477i
$577$	−4.77469	−	17.8194i	−0.198773	−	0.741830i	−0.991258	−	0.131939i	$-0.957880\pi$
$577$	−4.77469	−	17.8194i	−0.198773	−	0.741830i	0.792485	−	0.609891i	$-0.208787\pi$
$578$	0.392092	−	1.46331i	0.0163089	−	0.0608656i
$579$	11.3907	+	11.3907i	0.473380	+	0.473380i
$580$	−5.04425	−	5.04425i	−0.209451	−	0.209451i
$581$	31.8453	+	22.9761i	1.32117	+	0.953210i
$582$	−1.22514	+	0.707336i	−0.0507837	+	0.0293200i
$583$	3.97707	+	14.8426i	0.164713	+	0.614718i
$584$	−3.90291	+	6.76003i	−0.161503	+	0.279732i
$585$	8.28603	−	9.41308i	0.342585	−	0.389183i
$586$	1.17303	−	0.677247i	0.0484573	−	0.0279768i
$587$	−2.00759	−	0.537933i	−0.0828622	−	0.0222029i	0.217150	−	0.976138i	$-0.430324\pi$
$587$	−2.00759	−	0.537933i	−0.0828622	−	0.0222029i	−0.300012	+	0.953935i	$0.596991\pi$
$588$	−10.1113	−	8.98364i	−0.416984	−	0.370479i
$589$	−28.9274	−	16.7013i	−1.19193	−	0.688164i
$590$	0.843619	−	3.14843i	0.0347312	−	0.129619i
$591$	18.9651	+	5.08168i	0.780120	+	0.209032i
$592$	−8.53725	−	2.28755i	−0.350879	−	0.0940177i
$593$	1.90912	−	7.12495i	0.0783983	−	0.292587i	−0.915584	−	0.402127i	$-0.868271\pi$
$593$	1.90912	−	7.12495i	0.0783983	−	0.292587i	0.993982	+	0.109540i	$0.0349378\pi$
$594$	0.541431	+	0.312595i	0.0222152	+	0.0128259i
$595$	−28.0673	+	12.6080i	−1.15065	+	0.516878i
$596$	−41.3452	−	11.0784i	−1.69357	−	0.453790i
$597$	−0.526495	+	0.303972i	−0.0215480	+	0.0124407i
$598$	−0.0976900	+	0.110978i	−0.00399484	+	0.00453821i
$599$	10.3977	−	18.0094i	0.424840	−	0.735844i	−0.571565	−	0.820556i	$-0.693664\pi$
$599$	10.3977	−	18.0094i	0.424840	−	0.735844i	0.996405	+	0.0847120i	$0.0269970\pi$
$600$	1.88019	+	7.01696i	0.0767584	+	0.286466i
$601$	30.7195	−	17.7359i	1.25308	−	0.723464i	0.281357	−	0.959603i	$-0.409216\pi$
$601$	30.7195	−	17.7359i	1.25308	−	0.723464i	0.971719	+	0.236140i	$0.0758822\pi$
$602$	0.542777	−	5.33418i	0.0221219	−	0.217405i
$603$	−3.01674	−	3.01674i	−0.122851	−	0.122851i
$604$	−0.322253	−	0.322253i	−0.0131123	−	0.0131123i
$605$	−4.70924	+	17.5751i	−0.191458	+	0.714530i
$606$	0.0111501	+	0.0416129i	0.000452943	+	0.00169041i
$607$			20.5742i			0.835081i	0.908658	+	0.417541i	$0.137108\pi$
$607$			20.5742i			0.835081i	−0.908658	+	0.417541i	$0.862892\pi$
$608$	−9.36097	−	16.2137i	−0.379637	−	0.657551i
$609$	1.77459	+	2.17665i	0.0719101	+	0.0882023i
$610$		−	11.3085i		−	0.457866i
$611$	−21.3205	−	18.7677i	−0.862535	−	0.759261i
$612$	5.59519	+	3.23038i	0.226172	+	0.130581i
$613$	23.4668	+	23.4668i	0.947815	+	0.947815i	0.998704	−	0.0508891i	$-0.0162055\pi$
$613$	23.4668	+	23.4668i	0.947815	+	0.947815i	−0.0508891	+	0.998704i	$0.516206\pi$
$614$	0.352179	+	0.203331i	0.0142128	+	0.00820577i
$615$	−19.8884	+	34.4476i	−0.801976	+	1.38906i
$616$	−6.42084	+	1.03879i	−0.258703	+	0.0418539i
$617$	9.94015	−	2.66346i	0.400175	−	0.107227i	−0.0531176	−	0.998588i	$-0.516916\pi$
$617$	9.94015	−	2.66346i	0.400175	−	0.107227i	0.453293	+	0.891362i	$0.350249\pi$
$618$	−3.13262	+	3.13262i	−0.126012	+	0.126012i
$619$	−27.1353	+	7.27087i	−1.09066	+	0.292241i	−0.758955	−	0.651143i	$-0.774290\pi$
$619$	−27.1353	+	7.27087i	−1.09066	+	0.292241i	−0.331703	+	0.943384i	$0.607623\pi$
$620$	17.8879	+	30.9828i	0.718395	+	1.24430i
$621$	−0.0787667	+	0.136428i	−0.00316080	+	0.00547467i
$622$	−1.97806	+	7.38222i	−0.0793130	+	0.296000i
$623$	−15.5709	−	34.6633i	−0.623837	−	1.38875i
$624$	10.8000	−	7.18735i	0.432346	−	0.287724i
$625$	−5.05761	−	8.76003i	−0.202304	−	0.350401i
$626$	−0.540342	+	0.540342i	−0.0215964	+	0.0215964i
$627$	−15.0707			−0.601866
$628$	−16.5908			−0.662045
$629$	5.80783	−	5.80783i	0.231573	−	0.231573i
$630$	−0.382552	−	2.36459i	−0.0152413	−	0.0942076i
$631$	−6.77392	−	25.2806i	−0.269666	−	1.00641i	−0.959332	−	0.282279i	$-0.908910\pi$
$631$	−6.77392	−	25.2806i	−0.269666	−	1.00641i	0.689667	−	0.724127i	$-0.257757\pi$
$632$	−6.27128	−	1.68039i	−0.249458	−	0.0668421i
$633$	−10.2814	+	5.93600i	−0.408651	+	0.235935i
$634$			4.90194i			0.194681i
$635$	19.4344	−	5.20744i	0.771231	−	0.206651i
$636$	−12.3620			−0.490187
$637$	3.50238	−	24.9947i	0.138769	−	0.990325i
$638$	0.663619			0.0262729
$639$	−3.09532	+	0.829388i	−0.122449	+	0.0328101i
$640$			26.5672i			1.05016i
$641$	8.61071	−	4.97140i	0.340103	−	0.196358i	−0.320215	−	0.947345i	$-0.603755\pi$
$641$	8.61071	−	4.97140i	0.340103	−	0.196358i	0.660317	+	0.750987i	$0.270422\pi$
$642$	−3.61530	−	0.968717i	−0.142685	−	0.0382322i
$643$	6.52451	+	24.3498i	0.257302	+	0.960263i	0.966796	+	0.255551i	$0.0822569\pi$
$643$	6.52451	+	24.3498i	0.257302	+	0.960263i	−0.709494	+	0.704712i	$0.751076\pi$
$644$	−0.128620	−	0.795011i	−0.00506833	−	0.0313278i
$645$	−19.1474	+	19.1474i	−0.753928	+	0.753928i
$646$	5.46125			0.214870
$647$	34.0333			1.33799			0.668993	−	0.743269i	$-0.266726\pi$
$647$	34.0333			1.33799			0.668993	+	0.743269i	$0.266726\pi$
$648$	−0.723769	+	0.723769i	−0.0284323	+	0.0284323i
$649$	−4.32355	−	7.48861i	−0.169714	−	0.293954i
$650$	−4.40117	+	4.99981i	−0.172628	+	0.196109i
$651$	−5.77118	−	12.8475i	−0.226190	−	0.503534i
$652$	−6.85674	+	25.5897i	−0.268531	+	1.00217i
$653$	16.5582	−	28.6797i	0.647973	−	1.12232i	−0.335634	−	0.941993i	$-0.608950\pi$
$653$	16.5582	−	28.6797i	0.647973	−	1.12232i	0.983606	−	0.180329i	$-0.0577163\pi$
$654$	−0.476135	−	0.824689i	−0.0186183	−	0.0322479i
$655$	−28.3391	+	7.59343i	−1.10730	+	0.296700i
$656$	−29.0963	+	29.0963i	−1.13602	+	1.13602i
$657$	−7.36626	+	1.97378i	−0.287385	+	0.0770046i
$658$	−5.35577	+	0.866476i	−0.208790	+	0.0337787i
$659$	−11.0690	+	19.1721i	−0.431188	+	0.746839i	−0.996976	−	0.0777114i	$-0.975239\pi$
$659$	−11.0690	+	19.1721i	−0.431188	+	0.746839i	0.565788	+	0.824551i	$0.308572\pi$
$660$	13.9789	+	8.07075i	0.544130	+	0.314153i
$661$	−24.7801	−	24.7801i	−0.963832	−	0.963832i	0.0355361	−	0.999368i	$-0.488686\pi$
$661$	−24.7801	−	24.7801i	−0.963832	−	0.963832i	−0.999368	+	0.0355361i	$0.988686\pi$
$662$	0.747707	+	0.431689i	0.0290605	+	0.0167781i
$663$	0.766137	+	12.0314i	0.0297543	+	0.467260i
$664$			15.1919i			0.589559i
$665$	36.4864	+	44.7529i	1.41488	+	1.73544i
$666$	0.319706	+	0.553747i	0.0123884	+	0.0214573i
$667$			0.167217i			0.00647465i
$668$	−11.9244	−	44.5026i	−0.461371	−	1.72186i
$669$	−3.66451	+	13.6762i	−0.141678	+	0.528751i
$670$	2.73121	+	2.73121i	0.105516	+	0.105516i
$671$	−21.2134	−	21.2134i	−0.818933	−	0.818933i
$672$	0.799137	−	7.85358i	0.0308274	−	0.302958i
$673$	15.2041	−	8.77811i	0.586076	−	0.338371i	−0.177468	−	0.984127i	$-0.556791\pi$
$673$	15.2041	−	8.77811i	0.586076	−	0.338371i	0.763544	+	0.645755i	$0.223457\pi$
$674$	0.733407	+	2.73711i	0.0282498	+	0.105430i
$675$	−3.54863	+	6.14641i	−0.136587	+	0.236575i
$676$	23.1712	+	9.69884i	0.891201	+	0.373032i
$677$	30.5661	−	17.6473i	1.17475	−	0.678242i	0.219956	−	0.975510i	$-0.429409\pi$
$677$	30.5661	−	17.6473i	1.17475	−	0.678242i	0.954794	+	0.297268i	$0.0960754\pi$
$678$	−0.511923	−	0.137169i	−0.0196603	−	0.00526796i
$679$	13.1165	−	5.89199i	0.503364	−	0.226114i
$680$	−10.3089	−	5.95183i	−0.395327	−	0.228242i
$681$	−7.14799	+	26.6767i	−0.273911	+	1.02225i
$682$	−3.21470	−	0.861376i	−0.123097	−	0.0329838i
$683$	−5.83032	−	1.56223i	−0.223091	−	0.0597770i	0.145542	−	0.989352i	$-0.453507\pi$
$683$	−5.83032	−	1.56223i	−0.223091	−	0.0597770i	−0.368633	+	0.929575i	$0.620174\pi$
$684$	3.13800	−	11.7112i	0.119985	−	0.447789i
$685$	−8.07152	−	4.66009i	−0.308397	−	0.178053i
$686$	−3.26122	−	3.55032i	−0.124514	−	0.135552i
$687$	13.3089	+	3.56611i	0.507767	+	0.136056i
$688$	−24.2594	+	14.0062i	−0.924880	+	0.533980i
$689$	−12.7800	−	19.2037i	−0.486877	−	0.731602i
$690$	0.0713117	−	0.123515i	0.00271479	−	0.00470215i
$691$	11.3044	+	42.1885i	0.430039	+	1.60493i	0.752668	+	0.658401i	$0.228767\pi$
$691$	11.3044	+	42.1885i	0.430039	+	1.60493i	−0.322629	+	0.946526i	$0.604567\pi$
$692$	−39.6108	+	22.8693i	−1.50578	+	0.869360i
$693$	−5.15332	−	3.71807i	−0.195758	−	0.141238i
$694$	2.64436	+	2.64436i	0.100379	+	0.100379i
$695$	−17.9305	−	17.9305i	−0.680143	−	0.680143i
$696$	−0.281201	+	1.04946i	−0.0106589	+	0.0397796i
$697$	−9.89701	−	36.9361i	−0.374876	−	1.39906i
$698$		−	7.56064i		−	0.286174i
$699$	−9.69285	−	16.7885i	−0.366617	−	0.635000i
$700$	−5.79463	−	35.8172i	−0.219016	−	1.35376i
$701$		−	39.4595i		−	1.49036i	−0.666862	−	0.745182i	$-0.732363\pi$
$701$		−	39.4595i		−	1.49036i	0.666862	−	0.745182i	$-0.267637\pi$
$702$	−0.920150	−	0.184807i	−0.0347288	−	0.00697508i
$703$	−13.3485	−	7.70676i	−0.503449	−	0.290666i
$704$	10.9024	+	10.9024i	0.410899	+	0.410899i
$705$	23.7292	+	13.7001i	0.893693	+	0.515974i
$706$	−0.486518	+	0.842674i	−0.0183103	+	0.0317145i
$707$	−0.0699331	−	0.432263i	−0.00263010	−	0.0162569i
$708$	6.71952	−	1.80049i	0.252535	−	0.0676665i
$709$	−13.0923	+	13.0923i	−0.491690	+	0.491690i	−0.908838	−	0.417148i	$-0.863030\pi$
$709$	−13.0923	+	13.0923i	−0.491690	+	0.491690i	0.417148	+	0.908838i	$0.363030\pi$
$710$	2.80235	−	0.750888i	0.105170	−	0.0281803i
$711$	−3.17152	−	5.49324i	−0.118941	−	0.206013i
$712$	7.35053	−	12.7315i	0.275473	−	0.477133i
$713$	0.217047	−	0.810029i	0.00812846	−	0.0303358i
$714$	1.86743	+	1.34734i	0.0698870	+	0.0504228i
$715$	1.91411	+	30.0590i	0.0715835	+	1.12414i
$716$	8.33772	+	14.4414i	0.311595	+	0.539699i
$717$	2.28662	−	2.28662i	0.0853955	−	0.0853955i
$718$	0.760844			0.0283944
$719$	−14.2700			−0.532181			−0.266091	−	0.963948i	$-0.585732\pi$
$719$	−14.2700			−0.532181			−0.266091	+	0.963948i	$0.585732\pi$
$720$	−8.84904	+	8.84904i	−0.329784	+	0.329784i
$721$	34.9004	−	28.4538i	1.29976	−	1.05967i
$722$	−1.37249	−	5.12222i	−0.0510790	−	0.190629i
$723$	−2.04082	−	0.546836i	−0.0758989	−	0.0203371i
$724$	29.8004	−	17.2052i	1.10752	−	0.639428i
$725$			7.53350i			0.279787i
$726$	1.31531	−	0.352437i	0.0488158	−	0.0130802i
$727$	−5.10921			−0.189490			−0.0947450	−	0.995502i	$-0.530204\pi$
$727$	−5.10921			−0.189490			−0.0947450	+	0.995502i	$0.530204\pi$
$728$	8.63454	−	4.55892i	0.320017	−	0.168965i
$729$	−1.00000			−0.0370370
$730$	6.66906	−	1.78697i	0.246833	−	0.0661387i
$731$		−	26.0318i		−	0.962819i
$732$	20.9016	−	12.0675i	0.772544	−	0.446028i
$733$	−3.50556	−	0.939312i	−0.129481	−	0.0346943i	0.193497	−	0.981101i	$-0.438017\pi$
$733$	−3.50556	−	0.939312i	−0.129481	−	0.0346943i	−0.322977	+	0.946407i	$0.604684\pi$
$734$	0.416824	+	1.55561i	0.0153853	+	0.0574186i
$735$	1.43535	+	24.3044i	0.0529435	+	0.896483i
$736$	0.332363	−	0.332363i	0.0122511	−	0.0122511i
$737$	10.2469			0.377448
$738$	2.97687			0.109580
$739$	17.1660	−	17.1660i	0.631462	−	0.631462i	−0.316973	−	0.948435i	$-0.602666\pi$
$739$	17.1660	−	17.1660i	0.631462	−	0.631462i	0.948435	+	0.316973i	$0.102666\pi$
$740$	8.25434	+	14.2969i	0.303435	+	0.525566i
$741$	21.4367	−	7.23240i	0.787497	−	0.265689i
$742$	−4.38344	−	0.446035i	−0.160921	−	0.0163744i
$743$	11.3003	−	42.1733i	0.414568	−	1.54719i	−0.371132	−	0.928580i	$-0.621030\pi$
$743$	11.3003	−	42.1733i	0.414568	−	1.54719i	0.785700	−	0.618608i	$-0.212303\pi$
$744$	2.72439	−	4.71878i	0.0998809	−	0.172999i
$745$	38.5241	+	66.7258i	1.41142	+	2.44464i
$746$	−3.01071	+	0.806718i	−0.110230	+	0.0295360i
$747$	−10.4950	+	10.4950i	−0.383991	+	0.383991i
$748$	−14.9888	+	4.01623i	−0.548044	+	0.146848i
$749$	35.5612	+	13.5156i	1.29938	+	0.493850i
$750$	0.949379	−	1.64437i	0.0346664	−	0.0600440i
$751$	32.5542	+	18.7952i	1.18792	+	0.685846i	0.957833	−	0.287325i	$-0.0927658\pi$
$751$	32.5542	+	18.7952i	1.18792	+	0.685846i	0.230086	+	0.973170i	$0.426099\pi$
$752$	20.0429	+	20.0429i	0.730891	+	0.730891i
$753$	6.83176	+	3.94432i	0.248963	+	0.143739i
$754$	−0.943938	+	0.318469i	−0.0343762	+	0.0115980i
$755$			0.820338i			0.0298552i
$756$	3.96227	−	3.23038i	0.144106	−	0.117488i
$757$	9.14499	+	15.8396i	0.332380	+	0.575700i	0.982978	−	0.183723i	$-0.0588149\pi$
$757$	9.14499	+	15.8396i	0.332380	+	0.575700i	−0.650598	+	0.759423i	$0.725482\pi$
$758$			6.97171i			0.253224i
$759$	−0.0979281	−	0.365473i	−0.00355457	−	0.0132658i
$760$	−5.78162	+	21.5773i	−0.209722	+	0.782692i
$761$	−21.0000	−	21.0000i	−0.761249	−	0.761249i	0.215300	−	0.976548i	$-0.430927\pi$
$761$	−21.0000	−	21.0000i	−0.761249	−	0.761249i	−0.976548	+	0.215300i	$0.930927\pi$
$762$	−1.06474	−	1.06474i	−0.0385715	−	0.0385715i
$763$	3.96612	+	8.82919i	0.143583	+	0.319638i
$764$	−19.1893	+	11.0790i	−0.694246	+	0.400823i
$765$	−3.00997	−	11.2334i	−0.108826	−	0.406143i
$766$	2.72692	−	4.72316i	0.0985275	−	0.170655i
$767$	9.74363	+	8.57700i	0.351822	+	0.309698i
$768$	−9.39692	+	5.42531i	−0.339082	+	0.195769i
$769$	2.58003	+	0.691317i	0.0930382	+	0.0249295i	0.305038	−	0.952340i	$-0.401331\pi$
$769$	2.58003	+	0.691317i	0.0930382	+	0.0249295i	−0.212000	+	0.977270i	$0.567998\pi$
$770$	4.66557	+	3.36617i	0.168136	+	0.121308i
$771$	21.3823	+	12.3451i	0.770064	+	0.444596i
$772$	8.05605	−	30.0656i	0.289944	−	1.08208i
$773$	15.6867	+	4.20324i	0.564212	+	0.151180i	0.529641	−	0.848222i	$-0.322327\pi$
$773$	15.6867	+	4.20324i	0.564212	+	0.151180i	0.0345713	+	0.999402i	$0.488993\pi$
$774$	1.95749	+	0.524508i	0.0703605	+	0.0188530i
$775$	9.77847	−	36.4937i	0.351253	−	1.31089i
$776$	4.81755	+	2.78142i	0.172940	+	0.0998470i
$777$	−2.66310	−	5.92846i	−0.0955382	−	0.212682i
$778$	6.10628	+	1.63617i	0.218921	+	0.0586596i
$779$	−62.1458	+	35.8799i	−2.22660	+	1.28553i
$780$	−23.7569	−	4.77143i	−0.850634	−	0.170845i
$781$	3.84831	−	6.66546i	0.137703	−	0.238509i
$782$	0.0354867	+	0.132438i	0.00126900	+	0.00473598i
$783$	−0.919257	+	0.530733i	−0.0328516	+	0.0189669i
$784$	−5.07313	+	24.6702i	−0.181183	+	0.881077i
$785$	21.1171	+	21.1171i	0.753701	+	0.753701i
$786$	1.55259	+	1.55259i	0.0553792	+	0.0553792i
$787$	−5.69119	+	21.2398i	−0.202869	+	0.757117i	0.787220	+	0.616673i	$0.211520\pi$
$787$	−5.69119	+	21.2398i	−0.202869	+	0.757117i	−0.990089	+	0.140444i	$0.955147\pi$
$788$	−9.81905	−	36.6452i	−0.349789	−	1.30543i
$789$		−	0.287705i		−	0.0102426i
$790$	2.87135	+	4.97332i	0.102158	+	0.176943i
$791$	5.03544	+	1.91380i	0.179040	+	0.0680469i
$792$		−	2.45840i		−	0.0873556i
$793$	40.3543	+	19.9938i	1.43302	+	0.710001i
$794$	−6.19102	−	3.57439i	−0.219711	−	0.126850i
$795$	15.7346	+	15.7346i	0.558050	+	0.558050i
$796$	1.01732	+	0.587348i	0.0360578	+	0.0208180i
$797$	14.9230	−	25.8473i	0.528598	−	0.915559i	−0.470846	−	0.882216i	$-0.656051\pi$
$797$	14.9230	−	25.8473i	0.528598	−	0.915559i	0.999444	−	0.0333434i	$-0.0106155\pi$
$798$	1.53525	−	4.03943i	0.0543473	−	0.142994i
$799$	−25.4434	+	6.81754i	−0.900122	+	0.241187i
$800$	14.9738	−	14.9738i	0.529402	−	0.529402i
$801$	13.8732	−	3.71732i	0.490187	−	0.131345i
$802$	2.50458	+	4.33807i	0.0884400	+	0.153183i
$803$	9.15823	−	15.8625i	0.323187	−	0.559776i
$804$	−2.13359	+	7.96265i	−0.0752458	+	0.280821i
$805$	−0.848196	+	1.17561i	−0.0298950	+	0.0414350i
$806$	4.98599	−	0.317499i	0.175624	−	0.0111834i
$807$	−1.27832	−	2.21411i	−0.0449989	−	0.0779404i
$808$	0.119787	−	0.119787i	0.00421409	−	0.00421409i
$809$	1.21588			0.0427480			0.0213740	−	0.999772i	$-0.493196\pi$
$809$	1.21588			0.0427480			0.0213740	+	0.999772i	$0.493196\pi$
$810$	0.905353			0.0318108
$811$	−33.3911	+	33.3911i	−1.17252	+	1.17252i	−0.190911	+	0.981607i	$0.561144\pi$
$811$	−33.3911	+	33.3911i	−1.17252	+	1.17252i	−0.981607	+	0.190911i	$0.938856\pi$
$812$	1.92787	−	5.07246i	0.0676550	−	0.178009i
$813$	−5.48899	−	20.4852i	−0.192507	−	0.718447i
$814$	−1.48342	−	0.397480i	−0.0519937	−	0.0139317i
$815$	41.2985	−	23.8437i	1.44662	−	0.835208i
$816$		−	12.0307i		−	0.421158i
$817$	−47.1868	+	12.6437i	−1.65086	+	0.442346i
$818$	5.56548			0.194592
$819$	9.11442	+	2.81555i	0.318484	+	0.0983833i
$820$	76.8583			2.68401
$821$	−19.8300	+	5.31343i	−0.692072	+	0.185440i	−0.587677	−	0.809096i	$-0.699957\pi$
$821$	−19.8300	+	5.31343i	−0.692072	+	0.185440i	−0.104395	+	0.994536i	$0.533291\pi$
$822$			0.697518i			0.0243287i
$823$	13.6027	−	7.85351i	0.474159	−	0.273756i	−0.243820	−	0.969821i	$-0.578401\pi$
$823$	13.6027	−	7.85351i	0.474159	−	0.273756i	0.717979	+	0.696064i	$0.245067\pi$
$824$	16.8270	+	4.50878i	0.586196	+	0.157071i
$825$	−4.41190	−	16.4654i	−0.153602	−	0.573252i
$826$	2.44763	−	0.395986i	0.0851638	−	0.0137781i
$827$	−11.0936	+	11.0936i	−0.385763	+	0.385763i	−0.873173	−	0.487410i	$-0.837942\pi$
$827$	−11.0936	+	11.0936i	−0.385763	+	0.385763i	0.487410	+	0.873173i	$0.337942\pi$
$828$	0.304393			0.0105784
$829$	−54.8719			−1.90578			−0.952891	−	0.303314i	$-0.901907\pi$
$829$	−54.8719			−1.90578			−0.952891	+	0.303314i	$0.901907\pi$
$830$	9.50166	−	9.50166i	0.329808	−	0.329808i
$831$	−4.16438	−	7.21292i	−0.144461	−	0.250214i
$832$	−20.7397	−	10.2756i	−0.719018	−	0.356242i
$833$	−17.4972	−	15.5458i	−0.606242	−	0.538630i
$834$	−0.491173	+	1.83308i	−0.0170079	+	0.0634745i
$835$	−41.4661	+	71.8215i	−1.43499	+	2.48548i
$836$	14.5601	+	25.2189i	0.503573	+	0.872214i
$837$	5.14195	−	1.37778i	0.177732	−	0.0476231i
$838$	−3.03936	+	3.03936i	−0.104993	+	0.104993i
$839$	−14.0431	+	3.76284i	−0.484821	+	0.129908i	−0.492947	−	0.870059i	$-0.664080\pi$
$839$	−14.0431	+	3.76284i	−0.484821	+	0.129908i	0.00812530	+	0.999967i	$0.497414\pi$
$840$	−7.30029	+	5.95183i	−0.251884	+	0.205358i
$841$	13.9366	−	24.1390i	0.480574	−	0.832378i
$842$	6.73939	+	3.89099i	0.232255	+	0.134092i
$843$	6.21366	+	6.21366i	0.214010	+	0.214010i
$844$	19.8663	+	11.4698i	0.683825	+	0.394806i
$845$	−17.1479	−	41.8376i	−0.589906	−	1.43926i
$846$		−	2.05061i		−	0.0705014i
$847$	−13.6631	+	2.21047i	−0.469470	+	0.0759526i
$848$	11.5098	+	19.9355i	0.395247	+	0.684587i
$849$			2.89632i			0.0994016i
$850$	1.59876	+	5.96666i	0.0548370	+	0.204655i
$851$	0.100156	−	0.373786i	0.00343329	−	0.0128132i
$852$	4.37833	+	4.37833i	0.149999	+	0.149999i
$853$	−17.2870	−	17.2870i	−0.591896	−	0.591896i	0.346247	−	0.938143i	$-0.387456\pi$
$853$	−17.2870	−	17.2870i	−0.591896	−	0.591896i	−0.938143	+	0.346247i	$0.887456\pi$
$854$	7.84686	−	3.52485i	0.268514	−	0.120618i
$855$	−18.9003	+	10.9121i	−0.646378	+	0.373186i
$856$	3.80923	+	14.2162i	0.130197	+	0.485901i
$857$	22.6650	−	39.2569i	0.774220	−	1.34099i	−0.161012	−	0.986953i	$-0.551476\pi$
$857$	22.6650	−	39.2569i	0.774220	−	1.34099i	0.935232	−	0.354036i	$-0.115191\pi$
$858$	1.87659	−	1.24886i	0.0640656	−	0.0426354i
$859$	21.7699	−	12.5689i	0.742780	−	0.428844i	−0.0802994	−	0.996771i	$-0.525588\pi$
$859$	21.7699	−	12.5689i	0.742780	−	0.428844i	0.823079	+	0.567927i	$0.192254\pi$
$860$	50.5394	+	13.5420i	1.72338	+	0.461778i
$861$	−30.1022	−	3.06303i	−1.02588	−	0.104388i
$862$	−5.54187	−	3.19960i	−0.188757	−	0.108979i
$863$	−0.405994	+	1.51519i	−0.0138202	+	0.0515777i	−0.972492	−	0.232938i	$-0.925166\pi$
$863$	−0.405994	+	1.51519i	−0.0138202	+	0.0515777i	0.958671	+	0.284516i	$0.0918328\pi$
$864$	2.88203	+	0.772239i	0.0980488	+	0.0262721i
$865$	79.5258	+	21.3089i	2.70396	+	0.724523i
$866$	−0.467301	+	1.74399i	−0.0158795	+	0.0592632i
$867$	−5.04021	−	2.90996i	−0.171174	−	0.0988276i
$868$	−15.9230	+	22.0696i	−0.540463	+	0.749091i
$869$	14.7157	+	3.94305i	0.499195	+	0.133759i
$870$	0.832252	−	0.480501i	0.0282160	−	0.0162905i
$871$	−14.5752	+	4.91744i	−0.493862	+	0.166621i
$872$	−1.87228	+	3.24288i	−0.0634033	+	0.109818i
$873$	1.40662	+	5.24959i	0.0476069	+	0.177672i
$874$	0.222830	−	0.128651i	0.00753733	−	0.00435168i
$875$	−11.2921	+	15.6511i	−0.381743	+	0.529103i
$876$	10.4196	+	10.4196i	0.352045	+	0.352045i
$877$	−20.9499	−	20.9499i	−0.707427	−	0.707427i	0.258566	−	0.965994i	$-0.416750\pi$
$877$	−20.9499	−	20.9499i	−0.707427	−	0.707427i	−0.965994	+	0.258566i	$0.916750\pi$
$878$	1.78457	−	6.66011i	0.0602263	−	0.224768i
$879$	−1.34679	−	5.02628i	−0.0454260	−	0.169532i
$880$		−	30.0573i		−	1.01323i
$881$	18.8010	+	32.5643i	0.633421	+	1.09712i	0.986847	+	0.161655i	$0.0516832\pi$
$881$	18.8010	+	32.5643i	0.633421	+	1.09712i	−0.353426	+	0.935462i	$0.614983\pi$
$882$	1.52153	−	1.00249i	0.0512326	−	0.0337557i
$883$		−	23.6988i		−	0.797529i	−0.917053	−	0.398764i	$-0.869439\pi$
$883$		−	23.6988i		−	0.797529i	0.917053	−	0.398764i	$-0.130561\pi$
$884$	19.3928	−	12.9058i	0.652250	−	0.434069i
$885$	−10.8444	−	6.26103i	−0.364531	−	0.210462i
$886$	0.573913	+	0.573913i	0.0192810	+	0.0192810i
$887$	−30.8819	−	17.8297i	−1.03691	−	0.598662i	−0.117956	−	0.993019i	$-0.537634\pi$
$887$	−30.8819	−	17.8297i	−1.03691	−	0.598662i	−0.918957	+	0.394357i	$0.870967\pi$
$888$	1.25716	−	2.17747i	0.0421876	−	0.0730711i
$889$	9.67111	+	11.8622i	0.324359	+	0.397846i
$890$	−12.5602	+	3.36549i	−0.421018	+	0.112811i
$891$	1.69834	−	1.69834i	0.0568964	−	0.0568964i
$892$	26.4257	−	7.08074i	0.884797	−	0.237081i
$893$	24.7158	+	42.8090i	0.827082	+	1.43255i
$894$	2.88313	−	4.99372i	0.0964262	−	0.167015i
$895$	7.76882	−	28.9936i	0.259683	−	0.969150i
$896$	−18.4347	+	8.28099i	−0.615861	+	0.276649i
$897$	0.314683	+	0.472856i	0.0105070	+	0.0157882i
$898$	2.93651	+	5.08618i	0.0979925	+	0.169728i
$899$	3.99554	−	3.99554i	0.133259	−	0.133259i
$900$	13.7136			0.457121
$901$	−21.3920			−0.712670
$902$	−5.05572	+	5.05572i	−0.168337	+	0.168337i
$903$	−19.2545	−	7.31798i	−0.640749	−	0.243527i
$904$	0.539384	+	2.01301i	0.0179396	+	0.0669516i
$905$	−59.8296	−	16.0313i	−1.98880	−	0.532898i
$906$	0.0531685	−	0.0306968i	0.00176640	−	0.00101983i
$907$			7.97443i			0.264787i	0.991197	+	0.132393i	$0.0422662\pi$
$907$			7.97443i			0.264787i	−0.991197	+	0.132393i	$0.957734\pi$
$908$	51.5458	−	13.8117i	1.71061	−	0.458356i
$909$	0.165504			0.00548943
$910$	−8.25177	−	2.54907i	−0.273543	−	0.0845007i
$911$	−38.2115			−1.26600			−0.633002	−	0.774151i	$-0.718177\pi$
$911$	−38.2115			−1.26600			−0.633002	+	0.774151i	$0.718177\pi$
$912$	−21.8076	+	5.84332i	−0.722120	+	0.193492i
$913$		−	35.6480i		−	1.17978i
$914$	2.08107	−	1.20151i	0.0688356	−	0.0397423i
$915$	−41.9637	−	11.2441i	−1.38728	−	0.371719i
$916$	−6.89060	−	25.7161i	−0.227672	−	0.849683i
$917$	−14.1023	−	17.2974i	−0.465700	−	0.571210i
$918$	−0.615434	+	0.615434i	−0.0203124	+	0.0203124i
$919$	−4.00287			−0.132043			−0.0660213	−	0.997818i	$-0.521031\pi$
$919$	−4.00287			−0.132043			−0.0660213	+	0.997818i	$0.521031\pi$
$920$	−0.560830			−0.0184900
$921$	1.10470	−	1.10470i	0.0364011	−	0.0364011i
$922$	1.55499	+	2.69332i	0.0512108	+	0.0886997i
$923$	−2.27512	+	11.3278i	−0.0748866	+	0.372859i
$924$	−1.24299	+	12.2155i	−0.0408912	+	0.401862i
$925$	4.51225	−	16.8400i	0.148362	−	0.553695i
$926$	−4.18536	+	7.24925i	−0.137539	+	0.238225i
$927$	8.50977	+	14.7394i	0.279498	+	0.484104i
$928$	3.05918	−	0.819705i	0.100423	−	0.0269082i
$929$	0.141294	−	0.141294i	0.00463571	−	0.00463571i	−0.704785	−	0.709421i	$-0.748957\pi$
$929$	0.141294	−	0.141294i	0.00463571	−	0.00463571i	0.709421	+	0.704785i	$0.248957\pi$
$930$	−4.65528	+	1.24738i	−0.152653	+	0.0409031i
$931$	−19.6808	+	39.2671i	−0.645014	+	1.28693i
$932$	−18.7289	+	32.4395i	−0.613487	+	1.06259i
$933$	25.4273	+	14.6804i	0.832451	+	0.480616i
$934$	5.07552	+	5.07552i	0.166076	+	0.166076i
$935$	24.1899	+	13.9661i	0.791096	+	0.456739i
$936$	1.17978	+	3.49685i	0.0385624	+	0.114298i
$937$		−	29.1938i		−	0.953719i	−0.878979	−	0.476860i	$-0.841775\pi$
$937$		−	29.1938i		−	0.953719i	0.878979	−	0.476860i	$-0.158225\pi$
$938$	−1.04385	+	2.74648i	−0.0340828	+	0.0896759i
$939$	1.46784	+	2.54238i	0.0479012	+	0.0829673i
$940$		−	52.9437i		−	1.72683i
$941$	2.05873	+	7.68329i	0.0671127	+	0.250468i	0.991329	−	0.131400i	$-0.0419474\pi$
$941$	2.05873	+	7.68329i	0.0671127	+	0.250468i	−0.924217	+	0.381869i	$0.875281\pi$
$942$	0.578463	−	2.15885i	0.0188473	−	0.0703393i
$943$	−1.27392	−	1.27392i	−0.0414847	−	0.0414847i
$944$	−9.15978	−	9.15978i	−0.298125	−	0.298125i
$945$	−9.15494	−	0.931557i	−0.297810	−	0.0303035i
$946$	−4.21526	+	2.43368i	−0.137050	+	0.0791258i
$947$	−7.07140	−	26.3908i	−0.229789	−	0.857586i	−0.980429	−	0.196874i	$-0.936921\pi$
$947$	−7.07140	−	26.3908i	−0.229789	−	0.857586i	0.750639	−	0.660712i	$-0.229746\pi$
$948$	−6.12816	+	10.6143i	−0.199033	+	0.344736i
$949$	−5.41435	+	26.9580i	−0.175757	+	0.875094i
$950$	10.0390	−	5.79603i	0.325709	−	0.188048i
$951$	18.1902	+	4.87405i	0.589858	+	0.158052i
$952$	0.916649	−	9.00843i	0.0297088	−	0.291965i
$953$	6.94144	+	4.00764i	0.224855	+	0.129820i	0.608196	−	0.793787i	$-0.291893\pi$
$953$	6.94144	+	4.00764i	0.224855	+	0.129820i	−0.383341	+	0.923607i	$0.625227\pi$
$954$	0.431021	−	1.60859i	0.0139548	−	0.0520801i
$955$	38.5261	+	10.3230i	1.24667	+	0.334046i
$956$	−6.03553	−	1.61721i	−0.195203	−	0.0523045i
$957$	0.659844	−	2.46257i	0.0213297	−	0.0796036i
$958$	−8.11923	−	4.68764i	−0.262320	−	0.151451i
$959$	0.717707	−	7.05332i	0.0231760	−	0.227763i
$960$	21.5668	+	5.77880i	0.696065	+	0.186510i
$961$	2.30543	−	1.33104i	0.0743687	−	0.0429368i
$962$	2.30077	−	0.146509i	0.0741799	−	0.00472365i
$963$	−7.18946	+	12.4525i	−0.231677	+	0.401277i
$964$	1.05662	+	3.94336i	0.0340315	+	0.127007i
$965$	−48.5219	+	28.0141i	−1.56198	+	0.901807i
$966$	0.107934	+	0.0109828i	0.00347273	+	0.000353366i
$967$	36.6730	+	36.6730i	1.17932	+	1.17932i	0.979916	+	0.199408i	$0.0639021\pi$
$967$	36.6730	+	36.6730i	1.17932	+	1.17932i	0.199408	+	0.979916i	$0.436098\pi$
$968$	−3.78626	−	3.78626i	−0.121695	−	0.121695i
$969$	5.43018	−	20.2657i	0.174442	−	0.651028i
$970$	−1.27349	−	4.75273i	−0.0408893	−	0.152601i
$971$		−	7.58775i		−	0.243502i	−0.992561	−	0.121751i	$-0.961149\pi$
$971$		−	7.58775i		−	0.243502i	0.992561	−	0.121751i	$-0.0388510\pi$
$972$	0.966122	+	1.67337i	0.0309884	+	0.0536734i
$973$	6.85289	−	18.0308i	0.219694	−	0.578040i
$974$			3.83238i			0.122797i
$975$	14.1772	+	21.3033i	0.454035	+	0.682251i
$976$	−38.9210	−	22.4711i	−1.24583	−	0.719281i
$977$	−1.21509	−	1.21509i	−0.0388742	−	0.0388742i	0.687402	−	0.726277i	$-0.258751\pi$
$977$	−1.21509	−	1.21509i	−0.0388742	−	0.0388742i	−0.726277	+	0.687402i	$0.758751\pi$
$978$	−3.09076	−	1.78445i	−0.0988315	−	0.0570604i
$979$	−17.2481	+	29.8747i	−0.551253	+	0.954798i
$980$	39.2836	−	25.8829i	1.25487	−	0.826799i
$981$	−3.53370	+	0.946851i	−0.112822	+	0.0302306i
$982$	−3.51634	+	3.51634i	−0.112211	+	0.112211i
$983$	36.4970	−	9.77935i	1.16407	−	0.311913i	0.375483	−	0.926829i	$-0.377477\pi$
$983$	36.4970	−	9.77935i	1.16407	−	0.311913i	0.788592	+	0.614917i	$0.210810\pi$
$984$	−5.85289	−	10.1375i	−0.186583	−	0.323172i
$985$	−34.1448	+	59.1406i	−1.08794	+	1.88437i
$986$	−0.239111	+	0.892374i	−0.00761484	+	0.0284190i
$987$	−2.10996	+	20.7358i	−0.0671608	+	0.660028i
$988$	−32.8130	−	28.8842i	−1.04392	−	0.918929i
$989$	−0.613231	−	1.06215i	−0.0194996	−	0.0337743i
$990$	−1.53759	+	1.53759i	−0.0488679	+	0.0488679i
$991$	−23.7088			−0.753134			−0.376567	−	0.926389i	$-0.622896\pi$
$991$	−23.7088			−0.753134			−0.376567	+	0.926389i	$0.622896\pi$
$992$	−15.8832			−0.504294
$993$	2.34537	−	2.34537i	0.0744281	−	0.0744281i
$994$	1.39453	+	1.71048i	0.0442318	+	0.0542531i
$995$	−0.547272	−	2.04245i	−0.0173497	−	0.0647499i
$996$	27.7015	+	7.42258i	0.877754	+	0.235194i
$997$	19.4881	−	11.2514i	0.617193	−	0.356337i	−0.158582	−	0.987346i	$-0.550692\pi$
$997$	19.4881	−	11.2514i	0.617193	−	0.356337i	0.775775	+	0.631009i	$0.217359\pi$
$998$			3.70065i			0.117142i
$999$	2.37274	−	0.635774i	0.0750702	−	0.0201150i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cg.b.115.5	yes	40
3.2	odd	2		819.2.gh.d.388.6		40
7.5	odd	6		273.2.bt.b.271.6	yes	40
13.6	odd	12		273.2.bt.b.136.6	✓	40
21.5	even	6		819.2.et.d.271.5		40
39.32	even	12		819.2.et.d.136.5		40
91.19	even	12	inner	273.2.cg.b.19.5	yes	40
273.110	odd	12		819.2.gh.d.19.6		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.b.136.6	✓	40	13.6	odd	12
273.2.bt.b.271.6	yes	40	7.5	odd	6
273.2.cg.b.19.5	yes	40	91.19	even	12	inner
273.2.cg.b.115.5	yes	40	1.1	even	1	trivial
819.2.et.d.136.5		40	39.32	even	12
819.2.et.d.271.5		40	21.5	even	6
819.2.gh.d.19.6		40	273.110	odd	12
819.2.gh.d.388.6		40	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.251431 - 0.0673706i) q^{2} -1.00000i q^{3} +(-1.67337 + 0.966122i) q^{4} +(3.35960 + 0.900201i) q^{5} +(-0.0673706 - 0.251431i) q^{6} +(0.422545 + 2.61179i) q^{7} +(-0.723769 + 0.723769i) q^{8} -1.00000 q^{9} +O(q^{10})\)	\(q+(0.251431 - 0.0673706i) q^{2} -1.00000i q^{3} +(-1.67337 + 0.966122i) q^{4} +(3.35960 + 0.900201i) q^{5} +(-0.0673706 - 0.251431i) q^{6} +(0.422545 + 2.61179i) q^{7} +(-0.723769 + 0.723769i) q^{8} -1.00000 q^{9} +0.905353 q^{10} +(1.69834 - 1.69834i) q^{11} +(0.966122 + 1.67337i) q^{12} +(-1.60070 + 3.23075i) q^{13} +(0.282199 + 0.628217i) q^{14} +(0.900201 - 3.35960i) q^{15} +(1.79903 - 3.11601i) q^{16} +(1.67183 + 2.89570i) q^{17} +(-0.251431 + 0.0673706i) q^{18} +(4.43691 - 4.43691i) q^{19} +(-6.49156 + 1.73941i) q^{20} +(2.61179 - 0.422545i) q^{21} +(0.312595 - 0.541431i) q^{22} +(0.136428 + 0.0787667i) q^{23} +(0.723769 + 0.723769i) q^{24} +(6.14641 + 3.54863i) q^{25} +(-0.184807 + 0.920150i) q^{26} +1.00000i q^{27} +(-3.23038 - 3.96227i) q^{28} +(0.530733 + 0.919257i) q^{29} -0.905353i q^{30} +(-1.37778 - 5.14195i) q^{31} +(0.772239 - 2.88203i) q^{32} +(-1.69834 - 1.69834i) q^{33} +(0.615434 + 0.615434i) q^{34} +(-0.931557 + 9.15494i) q^{35} +(1.67337 - 0.966122i) q^{36} +(-0.635774 - 2.37274i) q^{37} +(0.816657 - 1.41449i) q^{38} +(3.23075 + 1.60070i) q^{39} +(-3.08311 + 1.78003i) q^{40} +(-11.0466 - 2.95993i) q^{41} +(0.628217 - 0.282199i) q^{42} +(-6.74236 - 3.89270i) q^{43} +(-1.20115 + 4.48275i) q^{44} +(-3.35960 - 0.900201i) q^{45} +(0.0396087 + 0.0106131i) q^{46} +(-2.03894 + 7.60944i) q^{47} +(-3.11601 - 1.79903i) q^{48} +(-6.64291 + 2.20720i) q^{49} +(1.78447 + 0.478147i) q^{50} +(2.89570 - 1.67183i) q^{51} +(-0.442737 - 6.95272i) q^{52} +(-3.19888 + 5.54063i) q^{53} +(0.0673706 + 0.251431i) q^{54} +(7.23457 - 4.17688i) q^{55} +(-2.19616 - 1.58451i) q^{56} +(-4.43691 - 4.43691i) q^{57} +(0.195374 + 0.195374i) q^{58} +(0.931813 - 3.47757i) q^{59} +(1.73941 + 6.49156i) q^{60} -12.4907i q^{61} +(-0.692833 - 1.20002i) q^{62} +(-0.422545 - 2.61179i) q^{63} +6.41945i q^{64} +(-8.28603 + 9.41308i) q^{65} +(-0.541431 - 0.312595i) q^{66} +(3.01674 + 3.01674i) q^{67} +(-5.59519 - 3.23038i) q^{68} +(0.0787667 - 0.136428i) q^{69} +(0.382552 + 2.36459i) q^{70} +(3.09532 - 0.829388i) q^{71} +(0.723769 - 0.723769i) q^{72} +(7.36626 - 1.97378i) q^{73} +(-0.319706 - 0.553747i) q^{74} +(3.54863 - 6.14641i) q^{75} +(-3.13800 + 11.7112i) q^{76} +(5.15332 + 3.71807i) q^{77} +(0.920150 + 0.184807i) q^{78} +(3.17152 + 5.49324i) q^{79} +(8.84904 - 8.84904i) q^{80} +1.00000 q^{81} -2.97687 q^{82} +(10.4950 - 10.4950i) q^{83} +(-3.96227 + 3.23038i) q^{84} +(3.00997 + 11.2334i) q^{85} +(-1.95749 - 0.524508i) q^{86} +(0.919257 - 0.530733i) q^{87} +2.45840i q^{88} +(-13.8732 + 3.71732i) q^{89} -0.905353 q^{90} +(-9.11442 - 2.81555i) q^{91} -0.304393 q^{92} +(-5.14195 + 1.37778i) q^{93} +2.05061i q^{94} +(18.9003 - 10.9121i) q^{95} +(-2.88203 - 0.772239i) q^{96} +(-1.40662 - 5.24959i) q^{97} +(-1.52153 + 1.00249i) q^{98} +(-1.69834 + 1.69834i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) \) 40 * q - 8 * q^7 - 40 * q^9	\( 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) \) 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

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