LMFDB - Embedded newform 273.2.bv.b.2.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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([6, 4, 1]))

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

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

chi := DirichletCharacter("273.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bv (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:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			2.12
Character	$\chi$	$=$	273.2
Dual form			273.2.bv.b.137.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.583259 - 0.583259i) q^{2} +(-0.386481 + 1.68838i) q^{3} -1.31962i q^{4} +(3.27322 - 0.877056i) q^{5} +(1.21018 - 0.759346i) q^{6} +(-0.829143 - 2.51247i) q^{7} +(-1.93620 + 1.93620i) q^{8} +(-2.70127 - 1.30505i) q^{9} +O(q^{10})$	\(q+(-0.583259 - 0.583259i) q^{2} +(-0.386481 + 1.68838i) q^{3} -1.31962i q^{4} +(3.27322 - 0.877056i) q^{5} +(1.21018 - 0.759346i) q^{6} +(-0.829143 - 2.51247i) q^{7} +(-1.93620 + 1.93620i) q^{8} +(-2.70127 - 1.30505i) q^{9} +(-2.42069 - 1.39758i) q^{10} +(0.0388520 + 0.144998i) q^{11} +(2.22802 + 0.510006i) q^{12} +(2.17500 - 2.87565i) q^{13} +(-0.981818 + 1.94903i) q^{14} +(0.215770 + 5.86540i) q^{15} -0.380624 q^{16} +4.84300 q^{17} +(0.814354 + 2.33672i) q^{18} +(-2.81063 - 0.753106i) q^{19} +(-1.15738 - 4.31939i) q^{20} +(4.56246 - 0.428889i) q^{21} +(0.0619104 - 0.107232i) q^{22} +0.581449 q^{23} +(-2.52074 - 4.01734i) q^{24} +(5.61459 - 3.24159i) q^{25} +(-2.94584 + 0.408665i) q^{26} +(3.24741 - 4.05639i) q^{27} +(-3.31550 + 1.09415i) q^{28} +(6.44347 - 3.72014i) q^{29} +(3.29520 - 3.54690i) q^{30} +(-1.91912 - 0.514228i) q^{31} +(4.09440 + 4.09440i) q^{32} +(-0.259827 + 0.00955824i) q^{33} +(-2.82472 - 2.82472i) q^{34} +(-4.91755 - 7.49666i) q^{35} +(-1.72217 + 3.56464i) q^{36} +(0.660645 + 0.660645i) q^{37} +(1.20007 + 2.07858i) q^{38} +(4.01461 + 4.78361i) q^{39} +(-4.63944 + 8.03575i) q^{40} +(-2.64900 + 9.88620i) q^{41} +(-2.91125 - 2.41094i) q^{42} +(1.33022 + 0.768006i) q^{43} +(0.191341 - 0.0512698i) q^{44} +(-9.98643 - 1.90256i) q^{45} +(-0.339136 - 0.339136i) q^{46} +(0.209362 + 0.781350i) q^{47} +(0.147104 - 0.642638i) q^{48} +(-5.62504 + 4.16640i) q^{49} +(-5.16545 - 1.38408i) q^{50} +(-1.87173 + 8.17683i) q^{51} +(-3.79476 - 2.87016i) q^{52} +(-10.7561 + 6.21002i) q^{53} +(-4.26001 + 0.471842i) q^{54} +(0.254342 + 0.440533i) q^{55} +(6.47003 + 3.25926i) q^{56} +(2.35778 - 4.45435i) q^{57} +(-5.92802 - 1.58841i) q^{58} +(-2.79299 + 2.79299i) q^{59} +(7.74009 - 0.284734i) q^{60} +(5.16494 + 8.94594i) q^{61} +(0.819419 + 1.41928i) q^{62} +(-1.03918 + 7.86893i) q^{63} -4.01494i q^{64} +(4.59713 - 11.3202i) q^{65} +(0.157121 + 0.145972i) q^{66} +(0.348263 + 1.29974i) q^{67} -6.39091i q^{68} +(-0.224719 + 0.981708i) q^{69} +(-1.50430 + 7.24070i) q^{70} +(6.27489 - 1.68135i) q^{71} +(7.75703 - 2.70334i) q^{72} +(2.52237 - 9.41360i) q^{73} -0.770654i q^{74} +(3.30311 + 10.7324i) q^{75} +(-0.993812 + 3.70896i) q^{76} +(0.332089 - 0.217838i) q^{77} +(0.448528 - 5.13164i) q^{78} +(-7.97239 + 13.8086i) q^{79} +(-1.24586 + 0.333828i) q^{80} +(5.59367 + 7.05059i) q^{81} +(7.31127 - 4.22116i) q^{82} +(-10.3944 - 10.3944i) q^{83} +(-0.565969 - 6.02070i) q^{84} +(15.8522 - 4.24758i) q^{85} +(-0.327920 - 1.22381i) q^{86} +(3.79074 + 12.3168i) q^{87} +(-0.355969 - 0.205519i) q^{88} +(-6.89460 + 6.89460i) q^{89} +(4.71499 + 6.93437i) q^{90} +(-9.02839 - 3.08029i) q^{91} -0.767290i q^{92} +(1.60992 - 3.04148i) q^{93} +(0.333617 - 0.577842i) q^{94} -9.86032 q^{95} +(-8.49531 + 5.33050i) q^{96} +(-3.07487 - 11.4756i) q^{97} +(5.71095 + 0.850766i) q^{98} +(0.0842801 - 0.442381i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−0.583259	−	0.583259i	−0.412427	−	0.412427i	0.470156	−	0.882583i	$-0.344197\pi$
$2$	−0.583259	−	0.583259i	−0.412427	−	0.412427i	−0.882583	+	0.470156i	$0.844197\pi$
$3$	−0.386481	+	1.68838i	−0.223135	+	0.974788i
$3$	−0.386481	+	1.68838i	−0.223135	+	0.974788i
$4$		−	1.31962i		−	0.659809i
$5$	3.27322	−	0.877056i	1.46383	−	0.392231i	0.563017	−	0.826445i	$-0.309640\pi$
$5$	3.27322	−	0.877056i	1.46383	−	0.392231i	0.900810	+	0.434214i	$0.142974\pi$
$6$	1.21018	−	0.759346i	0.494055	−	0.310002i
$7$	−0.829143	−	2.51247i	−0.313387	−	0.949626i
$7$	−0.829143	−	2.51247i	−0.313387	−	0.949626i
$8$	−1.93620	+	1.93620i	−0.684549	+	0.684549i
$9$	−2.70127	−	1.30505i	−0.900422	−	0.435018i
$10$	−2.42069	−	1.39758i	−0.765488	−	0.441955i
$11$	0.0388520	+	0.144998i	0.0117143	+	0.0437184i	0.971536	−	0.236894i	$-0.0761293\pi$
$11$	0.0388520	+	0.144998i	0.0117143	+	0.0437184i	−0.959821	+	0.280612i	$0.909463\pi$
$12$	2.22802	+	0.510006i	0.643173	+	0.147226i
$13$	2.17500	−	2.87565i	0.603236	−	0.797563i
$13$	2.17500	−	2.87565i	0.603236	−	0.797563i
$14$	−0.981818	+	1.94903i	−0.262402	+	0.520900i
$15$	0.215770	+	5.86540i	0.0557117	+	1.51444i
$16$	−0.380624			−0.0951560
$17$	4.84300			1.17460			0.587300	−	0.809369i	$-0.300191\pi$
$17$	4.84300			1.17460			0.587300	+	0.809369i	$0.300191\pi$
$18$	0.814354	+	2.33672i	0.191945	+	0.550771i
$19$	−2.81063	−	0.753106i	−0.644803	−	0.172774i	−0.0784248	−	0.996920i	$-0.524989\pi$
$19$	−2.81063	−	0.753106i	−0.644803	−	0.172774i	−0.566378	+	0.824146i	$0.691656\pi$
$20$	−1.15738	−	4.31939i	−0.258798	−	0.965846i
$21$	4.56246	−	0.428889i	0.995611	−	0.0935912i
$22$	0.0619104	−	0.107232i	0.0131994	−	0.0228619i
$23$	0.581449			0.121241			0.0606203	−	0.998161i	$-0.480692\pi$
$23$	0.581449			0.121241			0.0606203	+	0.998161i	$0.480692\pi$
$24$	−2.52074	−	4.01734i	−0.514543	−	0.820037i
$25$	5.61459	−	3.24159i	1.12292	−	0.648318i
$26$	−2.94584	+	0.408665i	−0.577727	+	0.0801457i
$27$	3.24741	−	4.05639i	0.624965	−	0.780653i
$28$	−3.31550	+	1.09415i	−0.626571	+	0.206775i
$29$	6.44347	−	3.72014i	1.19652	−	0.690813i	0.236744	−	0.971572i	$-0.423920\pi$
$29$	6.44347	−	3.72014i	1.19652	−	0.690813i	0.959778	+	0.280759i	$0.0905863\pi$
$30$	3.29520	−	3.54690i	0.601619	−	0.647573i
$31$	−1.91912	−	0.514228i	−0.344685	−	0.0923580i	0.0823236	−	0.996606i	$-0.473766\pi$
$31$	−1.91912	−	0.514228i	−0.344685	−	0.0923580i	−0.427008	+	0.904248i	$0.640433\pi$
$32$	4.09440	+	4.09440i	0.723794	+	0.723794i
$33$	−0.259827	+	0.00955824i	−0.0452301	+	0.00166388i
$34$	−2.82472	−	2.82472i	−0.484436	−	0.484436i
$35$	−4.91755	−	7.49666i	−0.831217	−	1.26717i
$36$	−1.72217	+	3.56464i	−0.287028	+	0.594106i
$37$	0.660645	+	0.660645i	0.108609	+	0.108609i	0.759323	−	0.650714i	$-0.225530\pi$
$37$	0.660645	+	0.660645i	0.108609	+	0.108609i	−0.650714	+	0.759323i	$0.725530\pi$
$38$	1.20007	+	2.07858i	0.194677	+	0.337191i
$39$	4.01461	+	4.78361i	0.642852	+	0.765991i
$40$	−4.63944	+	8.03575i	−0.733560	+	1.27056i
$41$	−2.64900	+	9.88620i	−0.413704	+	1.54396i	0.373713	+	0.927544i	$0.378084\pi$
$41$	−2.64900	+	9.88620i	−0.413704	+	1.54396i	−0.787417	+	0.616420i	$0.788582\pi$
$42$	−2.91125	−	2.41094i	−0.449216	−	0.372017i
$43$	1.33022	+	0.768006i	0.202857	+	0.117120i	0.597988	−	0.801505i	$-0.295967\pi$
$43$	1.33022	+	0.768006i	0.202857	+	0.117120i	−0.395130	+	0.918625i	$0.629301\pi$
$44$	0.191341	−	0.0512698i	0.0288458	−	0.00772921i
$45$	−9.98643	−	1.90256i	−1.48869	−	0.283617i
$46$	−0.339136	−	0.339136i	−0.0500028	−	0.0500028i
$47$	0.209362	+	0.781350i	0.0305386	+	0.113972i	0.979513	−	0.201382i	$-0.0645434\pi$
$47$	0.209362	+	0.781350i	0.0305386	+	0.113972i	−0.948974	+	0.315354i	$0.897877\pi$
$48$	0.147104	−	0.642638i	0.0212326	−	0.0927569i
$49$	−5.62504	+	4.16640i	−0.803577	+	0.595200i
$50$	−5.16545	−	1.38408i	−0.730505	−	0.195738i
$51$	−1.87173	+	8.17683i	−0.262094	+	1.14499i
$52$	−3.79476	−	2.87016i	−0.526239	−	0.398020i
$53$	−10.7561	+	6.21002i	−1.47746	+	0.853013i	−0.999676	−	0.0254641i	$-0.991894\pi$
$53$	−10.7561	+	6.21002i	−1.47746	+	0.853013i	−0.477785	+	0.878477i	$0.658560\pi$
$54$	−4.26001	+	0.471842i	−0.579714	+	0.0642096i
$55$	0.254342	+	0.440533i	0.0342955	+	0.0594015i
$56$	6.47003	+	3.25926i	0.864594	+	0.435537i
$57$	2.35778	−	4.45435i	0.312296	−	0.589994i
$58$	−5.92802	−	1.58841i	−0.778387	−	0.208568i
$59$	−2.79299	+	2.79299i	−0.363616	+	0.363616i	−0.865142	−	0.501526i	$-0.832772\pi$
$59$	−2.79299	+	2.79299i	−0.363616	+	0.363616i	0.501526	+	0.865142i	$0.332772\pi$
$60$	7.74009	−	0.284734i	0.999241	−	0.0367590i
$61$	5.16494	+	8.94594i	0.661303	+	1.14541i	0.980274	+	0.197646i	$0.0633295\pi$
$61$	5.16494	+	8.94594i	0.661303	+	1.14541i	−0.318971	+	0.947765i	$0.603337\pi$
$62$	0.819419	+	1.41928i	0.104066	+	0.180248i
$63$	−1.03918	+	7.86893i	−0.130924	+	0.991392i
$64$		−	4.01494i		−	0.501868i
$65$	4.59713	−	11.3202i	0.570204	−	1.40410i
$66$	0.157121	+	0.145972i	0.0193403	+	0.0179679i
$67$	0.348263	+	1.29974i	0.0425471	+	0.158788i	0.983931	−	0.178549i	$-0.0571404\pi$
$67$	0.348263	+	1.29974i	0.0425471	+	0.158788i	−0.941384	+	0.337337i	$0.890474\pi$
$68$		−	6.39091i		−	0.775011i
$69$	−0.224719	+	0.981708i	−0.0270530	+	0.118184i
$70$	−1.50430	+	7.24070i	−0.179798	+	0.865430i
$71$	6.27489	−	1.68135i	0.744693	−	0.199540i	0.133530	−	0.991045i	$-0.457369\pi$
$71$	6.27489	−	1.68135i	0.744693	−	0.199540i	0.611163	+	0.791505i	$0.290702\pi$
$72$	7.75703	−	2.70334i	0.914174	−	0.318592i
$73$	2.52237	−	9.41360i	0.295221	−	1.10178i	−0.645821	−	0.763489i	$-0.723485\pi$
$73$	2.52237	−	9.41360i	0.295221	−	1.10178i	0.941042	−	0.338290i	$-0.109848\pi$
$74$		−	0.770654i		−	0.0895867i
$75$	3.30311	+	10.7324i	0.381410	+	1.23927i
$76$	−0.993812	+	3.70896i	−0.113998	+	0.425446i
$77$	0.332089	−	0.217838i	0.0378450	−	0.0248250i
$78$	0.448528	−	5.13164i	0.0507858	−	0.581044i
$79$	−7.97239	+	13.8086i	−0.896964	+	1.55359i	−0.0656086	+	0.997845i	$0.520899\pi$
$79$	−7.97239	+	13.8086i	−0.896964	+	1.55359i	−0.831355	+	0.555741i	$0.812434\pi$
$80$	−1.24586	+	0.333828i	−0.139292	+	0.0373231i
$81$	5.59367	+	7.05059i	0.621519	+	0.783399i
$82$	7.31127	−	4.22116i	0.807395	−	0.466150i
$83$	−10.3944	−	10.3944i	−1.14094	−	1.14094i	−0.988279	−	0.152658i	$-0.951217\pi$
$83$	−10.3944	−	10.3944i	−1.14094	−	1.14094i	−0.152658	−	0.988279i	$-0.548783\pi$
$84$	−0.565969	−	6.02070i	−0.0617522	−	0.656913i
$85$	15.8522	−	4.24758i	1.71941	−	0.460715i
$86$	−0.327920	−	1.22381i	−0.0353605	−	0.131967i
$87$	3.79074	+	12.3168i	0.406410	+	1.32050i
$88$	−0.355969	−	0.205519i	−0.0379465	−	0.0219084i
$89$	−6.89460	+	6.89460i	−0.730826	+	0.730826i	−0.970783	−	0.239957i	$-0.922867\pi$
$89$	−6.89460	+	6.89460i	−0.730826	+	0.730826i	0.239957	+	0.970783i	$0.422867\pi$
$90$	4.71499	+	6.93437i	0.497004	+	0.730946i
$91$	−9.02839	−	3.08029i	−0.946432	−	0.322902i
$92$		−	0.767290i		−	0.0799955i
$93$	1.60992	−	3.04148i	0.166941	−	0.315386i
$94$	0.333617	−	0.577842i	0.0344100	−	0.0595999i
$95$	−9.86032			−1.01165
$96$	−8.49531	+	5.33050i	−0.867049	+	0.544042i
$97$	−3.07487	−	11.4756i	−0.312206	−	1.16517i	−0.926563	−	0.376140i	$-0.877251\pi$
$97$	−3.07487	−	11.4756i	−0.312206	−	1.16517i	0.614357	−	0.789028i	$-0.289415\pi$
$98$	5.71095	+	0.850766i	0.576893	+	0.0859404i
$99$	0.0842801	−	0.442381i	0.00847047	−	0.0444610i
$100$	−4.27765	−	7.40912i	−0.427765	−	0.740912i
$101$	0.310099	−	0.537106i	0.0308560	−	0.0534441i	−0.850185	−	0.526484i	$-0.823510\pi$
$101$	0.310099	−	0.537106i	0.0308560	−	0.0534441i	0.881041	+	0.473040i	$0.156843\pi$
$102$	5.86092	−	3.67751i	0.580317	−	0.364128i
$103$	6.59555	+	3.80794i	0.649879	+	0.375208i	0.788410	−	0.615150i	$-0.210905\pi$
$103$	6.59555	+	3.80794i	0.649879	+	0.375208i	−0.138531	+	0.990358i	$0.544238\pi$
$104$	1.35661	+	9.77906i	0.133027	+	0.958916i
$105$	14.5578	−	5.40538i	1.42069	−	0.527511i
$106$	9.89564	+	2.65153i	0.961149	+	0.257539i
$107$			14.0870i			1.36184i	0.732356	+	0.680922i	$0.238421\pi$
$107$			14.0870i			1.36184i	−0.732356	+	0.680922i	$0.761579\pi$
$108$	−5.35288	−	4.28534i	−0.515081	−	0.412357i
$109$	−3.17330	−	0.850283i	−0.303947	−	0.0814423i	0.103622	−	0.994617i	$-0.466957\pi$
$109$	−3.17330	−	0.850283i	−0.303947	−	0.0814423i	−0.407569	+	0.913174i	$0.633623\pi$
$110$	0.108598	−	0.405293i	0.0103544	−	0.0386431i
$111$	−1.37075	+	0.860094i	−0.130105	+	0.0816365i
$112$	0.315592	+	0.956307i	0.0298206	+	0.0903625i
$113$	7.98423	+	4.60970i	0.751093	+	0.433644i	0.826089	−	0.563540i	$-0.190561\pi$
$113$	7.98423	+	4.60970i	0.751093	+	0.433644i	−0.0749954	+	0.997184i	$0.523894\pi$
$114$	−3.97324	+	1.22284i	−0.372128	+	0.114530i
$115$	1.90321	−	0.509963i	0.177475	−	0.0475543i
$116$	−4.90916	−	8.50292i	−0.455804	−	0.789476i
$117$	−9.62813	+	4.92942i	−0.890121	+	0.455725i
$118$	3.25807			0.299930
$119$	−4.01554	−	12.1679i	−0.368104	−	1.11543i
$120$	−11.7744	−	10.9388i	−1.07485	−	0.998572i
$121$	9.50676	−	5.48873i	0.864251	−	0.498976i
$122$	2.20530	−	8.23030i	0.199659	−	0.745137i
$123$	−15.6679	−	8.29334i	−1.41273	−	0.747786i
$124$	−0.678584	+	2.53251i	−0.0609386	+	0.227426i
$125$	3.55393	−	3.55393i	0.317873	−	0.317873i
$126$	5.19574	−	3.98352i	0.462873	−	0.354880i
$127$	9.28627	−	5.36143i	0.824023	−	0.475750i	−0.0277786	−	0.999614i	$-0.508843\pi$
$127$	9.28627	−	5.36143i	0.824023	−	0.475750i	0.851802	+	0.523864i	$0.175510\pi$
$128$	5.84704	−	5.84704i	0.516810	−	0.516810i
$129$	−1.81079	+	1.94911i	−0.159431	+	0.171609i
$130$	−9.28395	+	3.92131i	−0.814256	+	0.343922i
$131$	1.89692	+	1.09519i	0.165735	+	0.0956870i	0.580573	−	0.814208i	$-0.302829\pi$
$131$	1.89692	+	1.09519i	0.165735	+	0.0956870i	−0.414838	+	0.909895i	$0.636162\pi$
$132$	0.0126132	+	0.342872i	0.00109784	+	0.0298432i
$133$	0.438257	+	7.68606i	0.0380017	+	0.666466i
$134$	0.554955	−	0.961211i	0.0479408	−	0.0830360i
$135$	7.07181	−	16.1256i	0.608645	−	1.38787i
$136$	−9.37701	+	9.37701i	−0.804072	+	0.804072i
$137$	0.710038	−	0.710038i	0.0606627	−	0.0606627i	−0.676125	−	0.736787i	$-0.736342\pi$
$137$	0.710038	−	0.710038i	0.0606627	−	0.0606627i	0.736787	+	0.676125i	$0.236342\pi$
$138$	0.703660	−	0.441521i	0.0598995	−	0.0375848i
$139$	−3.25780	+	5.64267i	−0.276323	+	0.478605i	−0.970468	−	0.241230i	$-0.922449\pi$
$139$	−3.25780	+	5.64267i	−0.276323	+	0.478605i	0.694145	+	0.719835i	$0.255783\pi$
$140$	−9.89273	+	6.48928i	−0.836088	+	0.548444i
$141$	−1.40013	+	0.0515066i	−0.117912	+	0.00433764i
$142$	−4.64056	−	2.67923i	−0.389427	−	0.224836i
$143$	0.501466	+	0.203645i	0.0419347	+	0.0170296i
$144$	1.02817	+	0.496734i	0.0856805	+	0.0413945i
$145$	17.8281	−	17.8281i	1.48054	−	1.48054i
$146$	−6.96176	+	4.01938i	−0.576160	+	0.332646i
$147$	−4.86051	−	11.1075i	−0.400888	−	0.916127i
$148$	0.871798	−	0.871798i	0.0716613	−	0.0716613i
$149$	−3.04897	+	11.3789i	−0.249782	+	0.932198i	0.721138	+	0.692792i	$0.243619\pi$
$149$	−3.04897	+	11.3789i	−0.249782	+	0.932198i	−0.970919	+	0.239406i	$0.923047\pi$
$150$	4.33320	−	8.18633i	0.353804	−	0.668411i
$151$	−3.48863	+	13.0197i	−0.283901	+	1.05953i	0.665738	+	0.746185i	$0.268117\pi$
$151$	−3.48863	+	13.0197i	−0.283901	+	1.05953i	−0.949639	+	0.313346i	$0.898550\pi$
$152$	6.90010	−	3.98377i	0.559672	−	0.323127i
$153$	−13.0822	−	6.32037i	−1.05764	−	0.510972i
$154$	−0.320750	−	0.0666376i	−0.0258468	−	0.00536981i
$155$	−6.73272			−0.540785
$156$	6.31253	−	5.29775i	0.505407	−	0.424159i
$157$	−9.54587	−	16.5339i	−0.761844	−	1.31955i	−0.941899	−	0.335895i	$-0.890961\pi$
$157$	−9.54587	−	16.5339i	−0.761844	−	1.31955i	0.180056	−	0.983656i	$-0.442372\pi$
$158$	12.7040	−	3.40401i	1.01067	−	0.270809i
$159$	−6.32788	−	20.5604i	−0.501833	−	1.63055i
$160$	16.9929	+	9.81084i	1.34340	+	0.775615i
$161$	−0.482105	−	1.46088i	−0.0379952	−	0.115133i
$162$	0.849762	−	7.37488i	0.0667636	−	0.579426i
$163$	3.60690	−	13.4611i	0.282514	−	1.05436i	−0.668122	−	0.744052i	$-0.732902\pi$
$163$	3.60690	−	13.4611i	0.282514	−	1.05436i	0.950637	−	0.310306i	$-0.100432\pi$
$164$	13.0460	+	3.49566i	1.01872	+	0.272966i
$165$	−0.842087	+	0.259169i	−0.0655564	+	0.0201763i
$166$			12.1253i			0.941106i
$167$	22.6872	+	6.07902i	1.75559	+	0.470409i	0.985805	−	0.167894i	$-0.0536966\pi$
$167$	22.6872	+	6.07902i	1.75559	+	0.470409i	0.769785	+	0.638303i	$0.220363\pi$
$168$	−8.00341	+	9.66424i	−0.617477	+	0.745612i
$169$	−3.53877	−	12.5091i	−0.272213	−	0.962237i
$170$	−11.7234	−	6.76850i	−0.899142	−	0.519120i
$171$	6.60941	+	5.70236i	0.505434	+	0.436070i
$172$	1.01347	−	1.75539i	0.0772766	−	0.133847i
$173$	7.95872	+	13.7849i	0.605090	+	1.04805i	0.992037	+	0.125945i	$0.0401964\pi$
$173$	7.95872	+	13.7849i	0.605090	+	1.04805i	−0.386947	+	0.922102i	$0.626470\pi$
$174$	4.97290	−	9.39487i	0.376995	−	0.712223i
$175$	−12.7997	−	11.4188i	−0.967567	−	0.863178i
$176$	−0.0147880	−	0.0551896i	−0.00111469	−	0.00416007i
$177$	−3.63619	−	5.79507i	−0.273313	−	0.435584i
$178$	8.04268			0.602824
$179$	2.72063	−	4.71227i	0.203349	−	0.352211i	−0.746256	−	0.665659i	$-0.768151\pi$
$179$	2.72063	−	4.71227i	0.203349	−	0.352211i	0.949606	+	0.313448i	$0.101484\pi$
$180$	−2.51065	+	13.1783i	−0.187133	+	0.982250i
$181$			4.13865i			0.307623i	0.988100	+	0.153812i	$0.0491549\pi$
$181$			4.13865i			0.307623i	−0.988100	+	0.153812i	$0.950845\pi$
$182$	3.46928	+	7.06250i	0.257160	+	0.523507i
$183$	−17.1003	+	5.26296i	−1.26409	+	0.389049i
$184$	−1.12580	+	1.12580i	−0.0829951	+	0.0829951i
$185$	2.74185	+	1.58301i	0.201585	+	0.116385i
$186$	−2.71297	+	0.834970i	−0.198924	+	0.0612229i
$187$	0.188160	+	0.702224i	0.0137596	+	0.0513517i
$188$	1.03108	−	0.276278i	0.0751995	−	0.0201496i
$189$	−12.8841	−	4.79571i	−0.937183	−	0.348837i
$190$	5.75112	+	5.75112i	0.417230	+	0.417230i
$191$	−4.63636	+	2.67680i	−0.335475	+	0.193687i	−0.658269	−	0.752782i	$-0.728711\pi$
$191$	−4.63636	+	2.67680i	−0.335475	+	0.193687i	0.322794	+	0.946469i	$0.395378\pi$
$192$	6.77876	+	1.55170i	0.489215	+	0.111984i
$193$	20.3766	−	5.45988i	1.46674	−	0.393011i	0.564926	−	0.825142i	$-0.308905\pi$
$193$	20.3766	−	5.45988i	1.46674	−	0.393011i	0.901811	+	0.432130i	$0.142238\pi$
$194$	−4.89979	+	8.48668i	−0.351784	+	0.609308i
$195$	17.3362	+	12.1368i	1.24147	+	0.869131i
$196$	5.49805	+	7.42290i	0.392718	+	0.530207i
$197$	−1.18880	+	4.43666i	−0.0846985	+	0.316099i	−0.995257	−	0.0972812i	$-0.968985\pi$
$197$	−1.18880	+	4.43666i	−0.0846985	+	0.316099i	0.910558	+	0.413380i	$0.135652\pi$
$198$	−0.307180	+	0.208866i	−0.0218303	+	0.0148434i
$199$			3.95381i			0.280278i	0.990132	+	0.140139i	$0.0447550\pi$
$199$			3.95381i			0.280278i	−0.990132	+	0.140139i	$0.955245\pi$
$200$	−4.59461	+	17.1473i	−0.324888	+	1.21250i
$201$	−2.32905	+	0.0856786i	−0.164278	+	0.00604330i
$202$	−0.494140	+	0.132404i	−0.0347676	+	0.00931595i
$203$	−14.6893	−	13.1045i	−1.03099	−	0.919757i
$204$	10.7903	+	2.46996i	0.755471	+	0.172932i
$205$			34.6830i			2.42237i
$206$	−1.62590	−	6.06794i	−0.113282	−	0.422773i
$207$	−1.57065	−	0.758822i	−0.109168	−	0.0527418i
$208$	−0.827856	+	1.09454i	−0.0574015	+	0.0758929i
$209$		−	0.436794i		−	0.0302137i
$210$	−11.6437	−	5.33822i	−0.803491	−	0.368372i
$211$	10.1239	+	17.5351i	0.696956	+	1.20716i	0.969517	+	0.245025i	$0.0787960\pi$
$211$	10.1239	+	17.5351i	0.696956	+	1.20716i	−0.272561	+	0.962139i	$0.587871\pi$
$212$	8.19486	+	14.1939i	0.562825	+	0.974841i
$213$	0.413641	+	11.2442i	0.0283422	+	0.770442i
$214$	8.21638	−	8.21638i	0.561661	−	0.561661i
$215$	5.02770	+	1.34717i	0.342886	+	0.0918761i
$216$	1.56633	+	14.1416i	0.106576	+	0.962215i
$217$	0.299246	+	5.24812i	0.0203141	+	0.356265i
$218$	1.35492	+	2.34679i	0.0917668	+	0.158945i
$219$	14.9189	+	7.89689i	1.00813	+	0.533622i
$220$	0.581335	−	0.335634i	0.0391936	−	0.0226285i
$221$	10.5335	−	13.9268i	0.708561	−	0.936818i
$222$	1.30116	+	0.297843i	0.0873280	+	0.0199899i
$223$	−7.64298	−	2.04793i	−0.511812	−	0.137140i	−0.00633543	−	0.999980i	$-0.502017\pi$
$223$	−7.64298	−	2.04793i	−0.511812	−	0.137140i	−0.505477	+	0.862840i	$0.668683\pi$
$224$	6.89222	−	13.6819i	0.460506	−	0.914161i
$225$	−19.3970	+	1.42904i	−1.29313	+	0.0952696i
$226$	−1.96823	−	7.34553i	−0.130925	−	0.488617i
$227$	−12.8653	−	12.8653i	−0.853900	−	0.853900i	0.136711	−	0.990611i	$-0.456347\pi$
$227$	−12.8653	−	12.8653i	−0.853900	−	0.853900i	−0.990611	+	0.136711i	$0.956347\pi$
$228$	−5.87804	−	3.11137i	−0.389283	−	0.206056i
$229$	−2.86425	+	0.767473i	−0.189275	+	0.0507160i	−0.352211	−	0.935921i	$-0.614570\pi$
$229$	−2.86425	+	0.767473i	−0.189275	+	0.0507160i	0.162936	+	0.986637i	$0.447903\pi$
$230$	−1.40751	−	0.812623i	−0.0928081	−	0.0535828i
$231$	0.239449	+	0.644883i	0.0157546	+	0.0424302i
$232$	−5.27291	+	19.6788i	−0.346183	+	1.29197i
$233$	7.26448	−	12.5824i	0.475912	−	0.824303i	−0.523708	−	0.851898i	$-0.675452\pi$
$233$	7.26448	−	12.5824i	0.475912	−	0.824303i	0.999619	+	0.0275950i	$0.00878488\pi$
$234$	8.49082	+	2.74057i	0.555063	+	0.179156i
$235$	1.37058	+	2.37391i	0.0894065	+	0.154857i
$236$	3.68568	+	3.68568i	0.239917	+	0.239917i
$237$	−20.2330	−	18.7972i	−1.31427	−	1.22101i
$238$	−4.75494	+	9.43915i	−0.308217	+	0.611849i
$239$	2.96538	+	2.96538i	0.191815	+	0.191815i	0.796480	−	0.604665i	$-0.206693\pi$
$239$	2.96538	+	2.96538i	0.191815	+	0.191815i	−0.604665	+	0.796480i	$0.706693\pi$
$240$	−0.0821273	−	2.23251i	−0.00530130	−	0.144108i
$241$	−12.6382	−	12.6382i	−0.814097	−	0.814097i	0.171148	−	0.985245i	$-0.445252\pi$
$241$	−12.6382	−	12.6382i	−0.814097	−	0.814097i	−0.985245	+	0.171148i	$0.945252\pi$
$242$	−8.74626	−	2.34355i	−0.562231	−	0.150649i
$243$	−14.0659	+	6.71934i	−0.902330	+	0.431046i
$244$	11.8052	−	6.81574i	0.755751	−	0.436333i
$245$	−14.7578	+	18.5710i	−0.942842	+	1.18646i
$246$	4.30127	+	13.9756i	0.274239	+	0.891053i
$247$	−8.27878	+	6.44440i	−0.526766	+	0.410047i
$248$	4.71145	−	2.72016i	0.299177	−	0.172730i
$249$	21.5670	−	13.5325i	1.36675	−	0.857589i
$250$	−4.14572			−0.262198
$251$	13.6963	−	23.7227i	0.864505	−	1.49737i	−0.00303354	−	0.999995i	$-0.500966\pi$
$251$	13.6963	−	23.7227i	0.864505	−	1.49737i	0.867538	−	0.497371i	$-0.165701\pi$
$252$	10.3840	+	1.37131i	0.654129	+	0.0863846i
$253$	0.0225905	+	0.0843088i	0.00142025	+	0.00530045i
$254$	−8.54341	−	2.28920i	−0.536061	−	0.143637i
$255$	1.04498	+	28.4062i	0.0654389	+	1.77886i
$256$	−14.8506			−0.928161
$257$	−23.8845			−1.48987			−0.744937	−	0.667135i	$-0.767521\pi$
$257$	−23.8845			−1.48987			−0.744937	+	0.667135i	$0.767521\pi$
$258$	2.19300	−	0.0806737i	0.136530	−	0.00502252i
$259$	1.11208	−	2.20762i	0.0691014	−	0.137175i
$260$	−14.9384	−	6.06645i	−0.926439	−	0.376225i
$261$	−22.2605	+	1.64001i	−1.37789	+	0.101514i
$262$	−0.467618	−	1.74518i	−0.0288896	−	0.107817i
$263$	−3.97307	−	2.29385i	−0.244990	−	0.141445i	0.372478	−	0.928041i	$-0.378508\pi$
$263$	−3.97307	−	2.29385i	−0.244990	−	0.141445i	−0.617468	+	0.786596i	$0.711841\pi$
$264$	0.484570	−	0.521583i	0.0298232	−	0.0321012i
$265$	−29.7604	+	29.7604i	−1.82817	+	1.82817i
$266$	4.22735	−	4.73859i	0.259196	−	0.290541i
$267$	−8.97609	−	14.3053i	−0.549328	−	0.875473i
$268$	1.71515	−	0.459574i	0.104770	−	0.0280730i
$269$		−	22.0889i		−	1.34678i	−0.739286	−	0.673392i	$-0.764837\pi$
$269$		−	22.0889i		−	1.34678i	0.739286	−	0.673392i	$-0.235163\pi$
$270$	−13.5301	+	5.28071i	−0.823416	+	0.321374i
$271$	−14.0744	−	14.0744i	−0.854960	−	0.854960i	0.135779	−	0.990739i	$-0.456646\pi$
$271$	−14.0744	−	14.0744i	−0.854960	−	0.854960i	−0.990739	+	0.135779i	$0.956646\pi$
$272$	−1.84336			−0.111770
$273$	8.69001	−	14.0529i	0.525943	−	0.850520i
$274$	−0.828273			−0.0500378
$275$	0.688161	+	0.688161i	0.0414977	+	0.0414977i
$276$	1.29548	+	0.296543i	0.0779787	+	0.0178498i
$277$			10.7582i			0.646397i	0.946331	+	0.323198i	$0.104758\pi$
$277$			10.7582i			0.646397i	−0.946331	+	0.323198i	$0.895242\pi$
$278$	5.19128	−	1.39100i	0.311352	−	0.0834266i
$279$	4.51297	+	3.89363i	0.270184	+	0.233105i
$280$	24.0364	+	4.99368i	1.43645	+	0.298430i
$281$	−10.1393	+	10.1393i	−0.604859	+	0.604859i	−0.941598	−	0.336739i	$-0.890676\pi$
$281$	−10.1393	+	10.1393i	−0.604859	+	0.604859i	0.336739	+	0.941598i	$0.390676\pi$
$282$	0.846682	+	0.786598i	0.0504192	+	0.0468412i
$283$	24.2283	+	13.9882i	1.44022	+	0.831513i	0.997864	−	0.0653261i	$-0.0208088\pi$
$283$	24.2283	+	13.9882i	1.44022	+	0.831513i	0.442358	+	0.896839i	$0.354142\pi$
$284$	−2.21874	−	8.28046i	−0.131658	−	0.491355i
$285$	3.81082	−	16.6480i	0.225734	−	0.986141i
$286$	−0.173707	−	0.411262i	−0.0102715	−	0.0243185i
$287$	27.0352	−	1.54154i	1.59584	−	0.0909941i
$288$	−5.71665	−	16.4035i	−0.336857	−	0.966583i
$289$	6.45465			0.379685
$290$	−20.7968			−1.22123
$291$	20.5635	−	0.756469i	1.20546	−	0.0443450i
$292$	−12.4223	−	3.32856i	−0.726963	−	0.194789i
$293$	1.77840	+	6.63707i	0.103895	+	0.387742i	0.998217	−	0.0596812i	$-0.0190084\pi$
$293$	1.77840	+	6.63707i	0.103895	+	0.387742i	−0.894322	+	0.447423i	$0.852342\pi$
$294$	−3.64359	+	9.31346i	−0.212498	+	0.543172i
$295$	−6.69245	+	11.5917i	−0.389649	+	0.674893i
$296$	−2.55828			−0.148697
$297$	0.714336	+	0.313269i	0.0414500	+	0.0181777i
$298$	8.41521	−	4.85852i	0.487480	−	0.281447i
$299$	1.26465	−	1.67205i	0.0731366	−	0.0966969i
$300$	14.1626	−	4.35883i	0.817681	−	0.251657i
$301$	0.826646	−	3.97894i	0.0476471	−	0.229342i
$302$	9.62866	−	5.55911i	0.554067	−	0.319891i
$303$	0.786994	+	0.731146i	0.0452116	+	0.0420032i
$304$	1.06979	+	0.286650i	0.0613568	+	0.0164405i
$305$	24.7521	+	24.7521i	1.41730	+	1.41730i
$306$	3.94392	+	11.3167i	0.225459	+	0.646935i
$307$	−16.6854	−	16.6854i	−0.952287	−	0.952287i	0.0466252	−	0.998912i	$-0.485153\pi$
$307$	−16.6854	−	16.6854i	−0.952287	−	0.952287i	−0.998912	+	0.0466252i	$0.985153\pi$
$308$	−0.287463	−	0.438230i	−0.0163797	−	0.0249705i
$309$	−8.97832	+	9.66411i	−0.510759	+	0.549772i
$310$	3.92692	+	3.92692i	0.223034	+	0.223034i
$311$	3.31672	+	5.74472i	0.188074	+	0.325753i	0.944608	−	0.328201i	$-0.106442\pi$
$311$	3.31672	+	5.74472i	0.188074	+	0.325753i	−0.756534	+	0.653954i	$0.773109\pi$
$312$	−17.0351	−	1.48894i	−0.964422	−	0.0842946i
$313$	2.47179	−	4.28126i	0.139714	−	0.241991i	−0.787675	−	0.616091i	$-0.788715\pi$
$313$	2.47179	−	4.28126i	0.139714	−	0.241991i	0.927388	+	0.374100i	$0.122048\pi$
$314$	−4.07585	+	15.2113i	−0.230014	+	0.858423i
$315$	3.50005	+	26.6681i	0.197205	+	1.50258i
$316$	18.2220	+	10.5205i	1.02507	+	0.591824i
$317$	10.1592	−	2.72216i	0.570599	−	0.152892i	0.0380279	−	0.999277i	$-0.487892\pi$
$317$	10.1592	−	2.72216i	0.570599	−	0.152892i	0.532571	+	0.846385i	$0.321226\pi$
$318$	−8.30126	+	15.6828i	−0.465512	+	0.879451i
$319$	0.789753	+	0.789753i	0.0442177	+	0.0442177i
$320$	−3.52133	−	13.1418i	−0.196848	−	0.734648i
$321$	−23.7843	−	5.44436i	−1.32751	−	0.303874i
$322$	−0.570877	+	1.13326i	−0.0318137	+	0.0631542i
$323$	−13.6119	−	3.64729i	−0.757385	−	0.202941i
$324$	9.30408	−	7.38150i	0.516893	−	0.410084i
$325$	2.89004	−	23.1961i	0.160311	−	1.28669i
$326$	−9.95510	+	5.74758i	−0.551362	+	0.318329i
$327$	2.66202	−	5.02912i	0.147210	−	0.278111i
$328$	−14.0126	−	24.2706i	−0.773719	−	1.34012i
$329$	1.78953	−	1.17387i	0.0986600	−	0.0647174i
$330$	0.642318	+	0.339992i	0.0353584	+	0.0187160i
$331$	5.36563	+	1.43772i	0.294922	+	0.0790240i	0.403246	−	0.915092i	$-0.367882\pi$
$331$	5.36563	+	1.43772i	0.294922	+	0.0790240i	−0.108324	+	0.994116i	$0.534549\pi$
$332$	−13.7167	+	13.7167i	−0.752800	+	0.752800i
$333$	−0.922400	−	2.64675i	−0.0505472	−	0.145041i
$334$	−9.68689	−	16.7782i	−0.530043	−	0.918061i
$335$	2.27988	+	3.94887i	0.124563	+	0.215750i
$336$	−1.73658	+	0.163245i	−0.0947383	+	0.00890576i
$337$		−	9.01002i		−	0.490807i	−0.969421	−	0.245404i	$-0.921080\pi$
$337$		−	9.01002i		−	0.490807i	0.969421	−	0.245404i	$-0.0789205\pi$
$338$	−5.23201	+	9.36006i	−0.284584	+	0.509120i
$339$	−10.8687	+	11.6989i	−0.590306	+	0.635396i
$340$	−5.60518	−	20.9188i	−0.303984	−	1.13448i
$341$		−	0.298247i		−	0.0161510i
$342$	−0.529047	−	7.18096i	−0.0286076	−	0.388302i
$343$	15.1319	+	10.6782i	0.817048	+	0.576570i
$344$	−4.06259	+	1.08857i	−0.219040	+	0.0586916i
$345$	0.125459	+	3.41043i	0.00675451	+	0.183612i
$346$	3.39818	−	12.6822i	0.182687	−	0.681798i
$347$			16.9037i			0.907439i	0.891145	+	0.453719i	$0.149903\pi$
$347$			16.9037i			0.907439i	−0.891145	+	0.453719i	$0.850097\pi$
$348$	16.2535	−	5.00233i	0.871277	−	0.268153i
$349$	2.69352	−	10.0524i	0.144181	−	0.538091i	−0.855610	−	0.517622i	$-0.826817\pi$
$349$	2.69352	−	10.0524i	0.144181	−	0.538091i	0.999790	−	0.0204689i	$-0.00651592\pi$
$350$	0.805440	+	14.1257i	0.0430526	+	0.755048i
$351$	−4.60166	−	18.1611i	−0.245618	−	0.969367i
$352$	−0.434603	+	0.752754i	−0.0231644	+	0.0401219i
$353$	−15.2724	+	4.09222i	−0.812867	+	0.217807i	−0.641225	−	0.767353i	$-0.721574\pi$
$353$	−15.2724	+	4.09222i	−0.812867	+	0.217807i	−0.171641	+	0.985160i	$0.554907\pi$
$354$	−1.25918	+	5.50087i	−0.0669248	+	0.292368i
$355$	19.0645	−	11.0069i	1.01184	−	0.584184i
$356$	9.09823	+	9.09823i	0.482205	+	0.482205i
$357$	22.0960	−	2.07711i	1.16944	−	0.109932i
$358$	−4.33530	+	1.16164i	−0.229128	+	0.0613946i
$359$	4.92441	+	18.3781i	0.259900	+	0.969962i	0.965298	+	0.261150i	$0.0841017\pi$
$359$	4.92441	+	18.3781i	0.259900	+	0.969962i	−0.705398	+	0.708812i	$0.749232\pi$
$360$	23.0194	−	15.6520i	1.21323	−	0.824931i
$361$	−9.12201	−	5.26660i	−0.480106	−	0.277189i
$362$	2.41391	−	2.41391i	0.126872	−	0.126872i
$363$	5.59290	+	18.1723i	0.293551	+	0.953800i
$364$	−4.06481	+	11.9140i	−0.213054	+	0.624464i
$365$		−	33.0250i		−	1.72861i
$366$	13.0436	+	6.90424i	0.681799	+	0.360891i
$367$	−1.63458	+	2.83117i	−0.0853244	+	0.147786i	−0.905529	−	0.424284i	$-0.860526\pi$
$367$	−1.63458	+	2.83117i	−0.0853244	+	0.147786i	0.820205	+	0.572070i	$0.193859\pi$
$368$	−0.221313			−0.0115368
$369$	20.0577	−	23.2482i	1.04416	−	1.21025i
$370$	−0.675907	−	2.52252i	−0.0351387	−	0.131139i
$371$	24.5209	+	21.8754i	1.27306	+	1.13571i
$372$	−4.01358	−	2.12447i	−0.208095	−	0.110149i
$373$	1.82302	+	3.15757i	0.0943926	+	0.163493i	0.909355	−	0.416021i	$-0.136576\pi$
$373$	1.82302	+	3.15757i	0.0943926	+	0.163493i	−0.814962	+	0.579514i	$0.803242\pi$
$374$	0.299832	−	0.519325i	0.0155040	−	0.0268536i
$375$	4.62686	+	7.37391i	0.238930	+	0.380787i
$376$	−1.91821	−	1.10748i	−0.0989244	−	0.0571140i
$377$	3.31670	−	26.6205i	0.170819	−	1.37102i
$378$	4.71765	+	10.3119i	0.242650	+	0.530389i
$379$	8.89057	+	2.38222i	0.456678	+	0.122367i	0.479822	−	0.877366i	$-0.340701\pi$
$379$	8.89057	+	2.38222i	0.456678	+	0.122367i	−0.0231444	+	0.999732i	$0.507368\pi$
$380$			13.0118i			0.667493i
$381$	5.46318	+	17.7509i	0.279887	+	0.909404i
$382$	4.26547	+	1.14293i	0.218241	+	0.0584774i
$383$	6.02290	−	22.4778i	0.307756	−	1.14856i	−0.622791	−	0.782388i	$-0.714001\pi$
$383$	6.02290	−	22.4778i	0.307756	−	1.14856i	0.930547	−	0.366173i	$-0.119332\pi$
$384$	7.61227	+	12.1318i	0.388462	+	0.619099i
$385$	0.895942	−	1.00429i	0.0456615	−	0.0511835i
$386$	−15.0693	−	8.70029i	−0.767010	−	0.442833i
$387$	−2.59100	−	3.81060i	−0.131708	−	0.193704i
$388$	−15.1434	+	4.05765i	−0.768788	+	0.205996i
$389$	−4.46725	−	7.73751i	−0.226499	−	0.392307i	0.730269	−	0.683159i	$-0.239395\pi$
$389$	−4.46725	−	7.73751i	−0.226499	−	0.392307i	−0.956768	+	0.290852i	$0.906061\pi$
$390$	−3.03261	−	17.1904i	−0.153562	−	0.870468i
$391$	2.81596			0.142409
$392$	2.82422	−	18.9582i	0.142645	−	0.957532i
$393$	−2.58222	+	2.77946i	−0.130256	+	0.140205i
$394$	3.28111	−	1.89435i	0.165300	−	0.0954358i
$395$	−13.9845	+	52.1907i	−0.703634	+	2.62600i
$396$	−0.583774	−	0.111217i	−0.0293357	−	0.00558889i
$397$	2.23669	−	8.34744i	0.112256	−	0.418946i	−0.886811	−	0.462133i	$-0.847084\pi$
$397$	2.23669	−	8.34744i	0.112256	−	0.418946i	0.999067	+	0.0431867i	$0.0137510\pi$
$398$	2.30610	−	2.30610i	0.115594	−	0.115594i
$399$	−13.1464	−	2.23057i	−0.658143	−	0.111668i
$400$	−2.13705	+	1.23383i	−0.106852	+	0.0616913i
$401$	5.36027	−	5.36027i	0.267679	−	0.267679i	−0.560485	−	0.828164i	$-0.689385\pi$
$401$	5.36027	−	5.36027i	0.267679	−	0.267679i	0.828164	+	0.560485i	$0.189385\pi$
$402$	1.40841	+	1.30847i	0.0702452	+	0.0652603i
$403$	−5.65283	+	4.40029i	−0.281588	+	0.219194i
$404$	−0.708775	−	0.409211i	−0.0352629	−	0.0203590i
$405$	24.4931	+	18.1722i	1.21707	+	0.902982i
$406$	0.924346	+	16.2110i	0.0458745	+	0.804539i
$407$	−0.0701246	+	0.121459i	−0.00347595	+	0.00602051i
$408$	−12.2079	−	19.4560i	−0.604383	−	0.963215i
$409$	8.42067	−	8.42067i	0.416375	−	0.416375i	−0.467577	−	0.883952i	$-0.654873\pi$
$409$	8.42067	−	8.42067i	0.416375	−	0.416375i	0.883952	+	0.467577i	$0.154873\pi$
$410$	20.2292	−	20.2292i	0.999048	−	0.999048i
$411$	0.924400	+	1.47323i	0.0455973	+	0.0726692i
$412$	5.02503	−	8.70361i	0.247565	−	0.428796i
$413$	9.33310	+	4.70152i	0.459252	+	0.231347i
$414$	0.473505	+	1.35869i	0.0232715	+	0.0667757i
$415$	−43.1397	−	24.9067i	−2.11765	−	1.22262i
$416$	20.6794	−	2.86877i	1.01389	−	0.140653i
$417$	−8.26791	−	7.68119i	−0.404881	−	0.376149i
$418$	−0.254764	+	0.254764i	−0.0124609	+	0.0124609i
$419$	−23.6928	+	13.6790i	−1.15747	+	0.668264i	−0.950696	−	0.310125i	$-0.899629\pi$
$419$	−23.6928	+	13.6790i	−1.15747	+	0.668264i	−0.206772	+	0.978389i	$0.566296\pi$
$420$	−7.13303	−	19.2107i	−0.348056	−	0.937385i
$421$	−20.8871	+	20.8871i	−1.01797	+	1.01797i	−0.0181373	+	0.999836i	$0.505774\pi$
$421$	−20.8871	+	20.8871i	−1.01797	+	1.01797i	−0.999836	+	0.0181373i	$0.994226\pi$
$422$	4.32264	−	16.1323i	0.210423	−	0.785309i
$423$	0.454161	−	2.38386i	0.0220821	−	0.115907i
$424$	8.80206	−	32.8497i	0.427466	−	1.59532i
$425$	27.1915	−	15.6990i	1.31898	−	0.761514i
$426$	6.31704	−	6.79956i	0.306062	−	0.329440i
$427$	18.1940	−	20.3942i	0.880467	−	0.986947i
$428$	18.5895			0.898556
$429$	−0.537637	+	0.767962i	−0.0259573	+	0.0370775i
$430$	−2.14670	−	3.71820i	−0.103523	−	0.179307i
$431$	−31.7531	+	8.50821i	−1.52949	+	0.409826i	−0.922853	−	0.385152i	$-0.874149\pi$
$431$	−31.7531	+	8.50821i	−1.52949	+	0.409826i	−0.606638	+	0.794978i	$0.707482\pi$
$432$	−1.23604	+	1.54396i	−0.0594692	+	0.0742838i
$433$	5.34253	+	3.08451i	0.256746	+	0.148232i	0.622849	−	0.782342i	$-0.285975\pi$
$433$	5.34253	+	3.08451i	0.256746	+	0.148232i	−0.366103	+	0.930574i	$0.619308\pi$
$434$	2.88647	−	3.23555i	0.138555	−	0.155311i
$435$	23.2104	+	36.9909i	1.11286	+	1.77358i
$436$	−1.12205	+	4.18754i	−0.0537364	+	0.200547i
$437$	−1.63424	−	0.437893i	−0.0781762	−	0.0209473i
$438$	−4.09565	−	13.3075i	−0.195698	−	0.635858i
$439$		−	40.9271i		−	1.95334i	−0.214739	−	0.976671i	$-0.568890\pi$
$439$		−	40.9271i		−	1.95334i	0.214739	−	0.976671i	$-0.431110\pi$
$440$	−1.34542	−	0.360503i	−0.0641402	−	0.0171863i
$441$	20.6321	−	3.91357i	0.982481	−	0.186361i
$442$	−14.2667	+	1.97916i	−0.678598	+	0.0941392i
$443$	11.8428	+	6.83745i	0.562669	+	0.324857i	0.754216	−	0.656627i	$-0.228017\pi$
$443$	11.8428	+	6.83745i	0.562669	+	0.324857i	−0.191547	+	0.981483i	$0.561351\pi$
$444$	1.13499	+	1.80886i	0.0538645	+	0.0858447i
$445$	−16.5206	+	28.6145i	−0.783150	+	1.35646i
$446$	3.26337	+	5.65232i	0.154525	+	0.267645i
$447$	−18.0336	−	9.54556i	−0.852960	−	0.451490i
$448$	−10.0874	+	3.32896i	−0.476587	+	0.157279i
$449$	2.44496	+	9.12473i	0.115385	+	0.430623i	0.999315	−	0.0369958i	$-0.0117788\pi$
$449$	2.44496	+	9.12473i	0.115385	+	0.430623i	−0.883930	+	0.467618i	$0.845112\pi$
$450$	12.1470	+	10.4800i	0.572613	+	0.494030i
$451$	−1.53639			−0.0723460
$452$	6.08304	−	10.5361i	0.286122	−	0.495578i
$453$	−20.6340	−	10.9220i	−0.969470	−	0.513161i
$454$			15.0076i			0.704342i
$455$	−32.2535	−	2.16406i	−1.51207	−	0.101453i
$456$	4.05938	+	13.1896i	0.190098	+	0.617662i
$457$	−29.1577	+	29.1577i	−1.36394	+	1.36394i	−0.495113	+	0.868829i	$0.664873\pi$
$457$	−29.1577	+	29.1577i	−1.36394	+	1.36394i	−0.868829	+	0.495113i	$0.835127\pi$
$458$	2.11823	+	1.22296i	0.0989786	+	0.0571453i
$459$	15.7272	−	19.6451i	0.734084	−	0.916955i
$460$	−0.672956	−	2.51151i	−0.0313768	−	0.117100i
$461$	−11.7752	+	3.15516i	−0.548427	+	0.146951i	−0.522384	−	0.852710i	$-0.674957\pi$
$461$	−11.7752	+	3.15516i	−0.548427	+	0.146951i	−0.0260429	+	0.999661i	$0.508291\pi$
$462$	0.236473	−	0.515795i	0.0110017	−	0.0239969i
$463$	−12.8453	−	12.8453i	−0.596972	−	0.596972i	0.342534	−	0.939506i	$-0.388715\pi$
$463$	−12.8453	−	12.8453i	−0.596972	−	0.596972i	−0.939506	+	0.342534i	$0.888715\pi$
$464$	−2.45254	+	1.41597i	−0.113856	+	0.0657349i
$465$	2.60206	−	11.3674i	0.120668	−	0.527150i
$466$	−11.5759	+	3.10175i	−0.536243	+	0.143686i
$467$	−7.74958	+	13.4227i	−0.358608	+	0.621127i	−0.987729	−	0.156181i	$-0.950082\pi$
$467$	−7.74958	+	13.4227i	−0.358608	+	0.621127i	0.629121	+	0.777308i	$0.283415\pi$
$468$	6.50494	+	12.7054i	0.300691	+	0.587309i
$469$	2.97679	−	1.95267i	0.137455	−	0.0901659i
$470$	0.585202	−	2.18400i	0.0269934	−	0.100741i
$471$	31.6049	−	9.72703i	1.45628	−	0.448198i
$472$		−	10.8156i		−	0.497826i
$473$	−0.0596771	+	0.222718i	−0.00274396	+	0.0102406i
$474$	0.837444	+	22.7647i	0.0384651	+	1.04562i
$475$	−18.2218	+	4.88252i	−0.836074	+	0.224025i
$476$	−16.0570	+	5.29898i	−0.735971	+	0.242878i
$477$	37.1594	−	2.73767i	1.70141	−	0.125349i
$478$		−	3.45917i		−	0.158219i
$479$	−3.39335	−	12.6641i	−0.155046	−	0.578639i	−0.999101	−	0.0423835i	$-0.986505\pi$
$479$	−3.39335	−	12.6641i	−0.155046	−	0.578639i	0.844055	−	0.536256i	$-0.180162\pi$
$480$	−23.1318	+	24.8987i	−1.05582	+	1.13647i
$481$	3.33669	−	0.462885i	0.152140	−	0.0211057i
$482$			14.7427i			0.671510i
$483$	2.65284	−	0.249377i	0.120708	−	0.0113470i
$484$	−7.24303	−	12.5453i	−0.329228	−	0.570240i
$485$	−20.1294	−	34.8652i	−0.914031	−	1.58315i
$486$	12.1232	+	4.28497i	0.549920	+	0.194370i
$487$	8.30834	−	8.30834i	0.376487	−	0.376487i	−0.493346	−	0.869833i	$-0.664226\pi$
$487$	8.30834	−	8.30834i	0.376487	−	0.376487i	0.869833	+	0.493346i	$0.164226\pi$
$488$	−27.3215	−	7.32076i	−1.23678	−	0.331395i
$489$	21.3335	+	11.2923i	0.964736	+	0.510655i
$490$	19.4393	−	2.22408i	0.878180	−	0.100474i
$491$	4.80950	+	8.33030i	0.217050	+	0.375941i	0.953905	−	0.300110i	$-0.0970233\pi$
$491$	4.80950	+	8.33030i	0.217050	+	0.375941i	−0.736855	+	0.676051i	$0.763690\pi$
$492$	−10.9440	+	20.6756i	−0.493395	+	0.932129i
$493$	31.2057	−	18.0166i	1.40544	−	0.811429i
$494$	8.58743	+	1.06992i	0.386367	+	0.0481382i
$495$	−0.112126	−	1.52193i	−0.00503968	−	0.0684056i
$496$	0.730464	+	0.195727i	0.0327988	+	0.00878842i
$497$	−9.42714	−	14.3714i	−0.422865	−	0.644646i
$498$	−20.4721	−	4.68619i	−0.917378	−	0.209993i
$499$	−6.42726	−	23.9869i	−0.287724	−	1.07380i	−0.946826	−	0.321746i	$-0.895730\pi$
$499$	−6.42726	−	23.9869i	−0.287724	−	1.07380i	0.659102	−	0.752053i	$-0.270936\pi$
$500$	−4.68982	−	4.68982i	−0.209735	−	0.209735i
$501$	−19.0319	+	35.9553i	−0.850282	+	1.60636i
$502$	−21.8250	+	5.84800i	−0.974098	+	0.261009i
$503$	−18.3418	−	10.5896i	−0.817820	−	0.472168i	0.0318443	−	0.999493i	$-0.489862\pi$
$503$	−18.3418	−	10.5896i	−0.817820	−	0.472168i	−0.849664	+	0.527324i	$0.823195\pi$
$504$	−13.2238	−	17.2479i	−0.589033	−	0.768281i
$505$	0.543947	−	2.03004i	0.0242053	−	0.0903356i
$506$	0.0359978	−	0.0623500i	0.00160030	−	0.00277179i
$507$	22.4878	−	1.14028i	0.998717	−	0.0506418i
$508$	−7.07504	−	12.2543i	−0.313904	−	0.543698i
$509$	0.206258	+	0.206258i	0.00914221	+	0.00914221i	0.711663	−	0.702521i	$-0.247942\pi$
$509$	0.206258	+	0.206258i	0.00914221	+	0.00914221i	−0.702521	+	0.711663i	$0.747942\pi$
$510$	15.9587	−	17.1776i	0.706661	−	0.760639i
$511$	−25.7428	+	1.46785i	−1.13880	+	0.0649337i
$512$	−3.03235	−	3.03235i	−0.134012	−	0.134012i
$513$	−12.1822	+	8.95536i	−0.537856	+	0.395389i
$514$	13.9309	+	13.9309i	0.614464	+	0.614464i
$515$	24.9285	+	6.67956i	1.09848	+	0.294337i
$516$	2.57208	+	2.38955i	0.113229	+	0.105194i
$517$	−0.105160	+	0.0607140i	−0.00462492	+	0.00267020i
$518$	−1.93625	+	0.638983i	−0.0850738	+	0.0280753i
$519$	−26.3501	+	8.10976i	−1.15664	+	0.355979i
$520$	13.0173	+	30.8192i	0.570845	+	1.35151i
$521$	16.5939	−	9.58049i	0.726992	−	0.419729i	−0.0903289	−	0.995912i	$-0.528792\pi$
$521$	16.5939	−	9.58049i	0.726992	−	0.419729i	0.817321	+	0.576183i	$0.195458\pi$
$522$	13.9402	+	12.0271i	0.610146	+	0.526412i
$523$	−2.20900			−0.0965929			−0.0482964	−	0.998833i	$-0.515379\pi$
$523$	−2.20900			−0.0965929			−0.0482964	+	0.998833i	$0.515379\pi$
$524$	1.44523	−	2.50321i	0.0631351	−	0.109353i
$525$	24.2261	−	17.1977i	1.05731	−	0.750567i
$526$	0.979418	+	3.65524i	0.0427047	+	0.159376i
$527$	−9.29432	−	2.49041i	−0.404867	−	0.108484i
$528$	0.0988963	−	0.00363809i	0.00430391	−	0.000158328i
$529$	−22.6619			−0.985301
$530$	34.7161			1.50797
$531$	11.1896	−	3.89960i	0.485587	−	0.169228i
$532$	10.1427	−	0.578331i	0.439740	−	0.0250738i
$533$	22.6677	+	29.1201i	0.981848	+	1.26133i
$534$	−3.10834	+	13.5791i	−0.134511	+	0.587626i
$535$	12.3551	+	46.1099i	0.534158	+	1.99350i
$536$	−3.19085	−	1.84224i	−0.137824	−	0.0795726i
$537$	6.90463	+	6.41466i	0.297957	+	0.276813i
$538$	−12.8835	+	12.8835i	−0.555449	+	0.555449i
$539$	−0.822663	−	0.653745i	−0.0354346	−	0.0281588i
$540$	−21.2796	−	9.33209i	−0.915729	−	0.401589i
$541$	24.3828	−	6.53334i	1.04830	−	0.280890i	0.306749	−	0.951790i	$-0.400759\pi$
$541$	24.3828	−	6.53334i	1.04830	−	0.280890i	0.741548	+	0.670900i	$0.234092\pi$
$542$			16.4181i			0.705216i
$543$	−6.98762	−	1.59951i	−0.299868	−	0.0686414i
$544$	19.8292	+	19.8292i	0.850169	+	0.850169i
$545$	−11.1326			−0.476870
$546$	−13.2650	+	3.12795i	−0.567690	+	0.133864i
$547$	8.42155			0.360079			0.180040	−	0.983659i	$-0.442377\pi$
$547$	8.42155			0.360079			0.180040	+	0.983659i	$0.442377\pi$
$548$	−0.936979	−	0.936979i	−0.0400258	−	0.0400258i
$549$	−2.27695	−	30.9059i	−0.0971777	−	1.31903i
$550$		−	0.802753i		−	0.0342295i
$551$	−20.9119	+	5.60332i	−0.890876	+	0.238709i
$552$	−1.46568	−	2.33588i	−0.0623835	−	0.0994217i
$553$	41.3039	+	8.58112i	1.75642	+	0.364906i
$554$	6.27481	−	6.27481i	0.266591	−	0.266591i
$555$	−3.73240	+	4.01749i	−0.158432	+	0.170533i
$556$	7.44617	+	4.29905i	0.315788	+	0.182320i
$557$	−4.88634	−	18.2361i	−0.207041	−	0.772687i	−0.988818	−	0.149129i	$-0.952353\pi$
$557$	−4.88634	−	18.2361i	−0.207041	−	0.772687i	0.781777	−	0.623558i	$-0.214314\pi$
$558$	−0.361238	−	4.90322i	−0.0152924	−	0.207570i
$559$	5.10175	−	2.15486i	0.215781	−	0.0911407i
$560$	1.87174	+	2.85341i	0.0790952	+	0.120579i
$561$	−1.25834	+	0.0462906i	−0.0531272	+	0.00195439i
$562$	11.8277			0.498920
$563$	35.6798			1.50372			0.751862	−	0.659321i	$-0.229156\pi$
$563$	35.6798			1.50372			0.751862	+	0.659321i	$0.229156\pi$
$564$	0.0679690	+	1.84764i	0.00286201	+	0.0777996i
$565$	30.1771	+	8.08593i	1.26956	+	0.340177i
$566$	−5.97262	−	22.2901i	−0.251048	−	0.936924i
$567$	13.0765	−	19.8999i	0.549160	−	0.835717i
$568$	−8.89400	+	15.4049i	−0.373184	+	0.646374i
$569$	−32.7786			−1.37415			−0.687076	−	0.726586i	$-0.741106\pi$
$569$	−32.7786			−1.37415			−0.687076	+	0.726586i	$0.741106\pi$
$570$	−11.9328	+	7.48739i	−0.499809	+	0.313612i
$571$	8.15157	−	4.70631i	0.341132	−	0.196953i	−0.319640	−	0.947539i	$-0.603562\pi$
$571$	8.15157	−	4.70631i	0.341132	−	0.196953i	0.660773	+	0.750586i	$0.270229\pi$
$572$	0.268733	−	0.661743i	0.0112363	−	0.0276689i
$573$	−2.72760	−	8.86248i	−0.113947	−	0.370235i
$574$	−16.6677	−	14.8694i	−0.695694	−	0.620638i
$575$	3.26460	−	1.88482i	0.136143	−	0.0786024i
$576$	−5.23972	+	10.8454i	−0.218321	+	0.451893i
$577$	−18.2038	−	4.87770i	−0.757835	−	0.203061i	−0.140844	−	0.990032i	$-0.544982\pi$
$577$	−18.2038	−	4.87770i	−0.757835	−	0.203061i	−0.616991	+	0.786970i	$0.711648\pi$
$578$	−3.76474	−	3.76474i	−0.156592	−	0.156592i
$579$	1.34322	+	36.5136i	0.0558224	+	1.51745i
$580$	−23.5263	−	23.5263i	−0.976875	−	0.976875i
$581$	−17.4973	+	34.7342i	−0.725908	+	1.44102i
$582$	−12.4351	−	11.5527i	−0.515451	−	0.478873i
$583$	−1.31833	−	1.31833i	−0.0545998	−	0.0545998i
$584$	13.3428	+	23.1104i	0.552128	+	0.956315i
$585$	−27.1916	+	24.5795i	−1.12423	+	1.01624i
$586$	2.83387	−	4.90840i	0.117066	−	0.202764i
$587$	10.3638	−	38.6783i	0.427760	−	1.59642i	−0.330060	−	0.943960i	$-0.607069\pi$
$587$	10.3638	−	38.6783i	0.427760	−	1.59642i	0.757821	−	0.652463i	$-0.226264\pi$
$588$	−14.6576	+	6.41401i	−0.604469	+	0.264509i
$589$	5.00668	+	2.89061i	0.206297	+	0.119105i
$590$	10.6644	−	2.85751i	0.439046	−	0.117642i
$591$	−7.03134	−	3.72183i	−0.289230	−	0.153096i
$592$	−0.251457	−	0.251457i	−0.0103348	−	0.0103348i
$593$	8.40724	+	31.3762i	0.345244	+	1.28847i	0.892327	+	0.451390i	$0.149072\pi$
$593$	8.40724	+	31.3762i	0.345244	+	1.28847i	−0.547083	+	0.837078i	$0.684262\pi$
$594$	−0.233926	−	0.599360i	−0.00959810	−	0.0245920i
$595$	−23.8157	−	36.3063i	−0.976347	−	1.48842i
$596$	15.0158	+	4.02348i	0.615072	+	0.164808i
$597$	−6.67554	−	1.52807i	−0.273212	−	0.0625398i
$598$	−1.71286	+	0.237618i	−0.0700439	+	0.00971691i
$599$	7.04414	−	4.06693i	0.287816	−	0.166170i	−0.349141	−	0.937070i	$-0.613526\pi$
$599$	7.04414	−	4.06693i	0.287816	−	0.166170i	0.636956	+	0.770900i	$0.280193\pi$
$600$	−27.1755	−	14.3846i	−1.10943	−	0.587247i
$601$	9.90797	+	17.1611i	0.404155	+	0.700016i	0.994223	−	0.107337i	$-0.0342324\pi$
$601$	9.90797	+	17.1611i	0.404155	+	0.700016i	−0.590068	+	0.807354i	$0.700899\pi$
$602$	−2.80290	+	1.83860i	−0.114238	+	0.0749359i
$603$	0.755474	−	3.96543i	0.0307653	−	0.161485i
$604$	17.1811	+	4.60365i	0.699088	+	0.187320i
$605$	26.3038	−	26.3038i	1.06940	−	1.06940i
$606$	−0.0325737	−	0.885469i	−0.00132322	−	0.0359697i
$607$	11.2509	+	19.4872i	0.456661	+	0.790960i	0.998782	−	0.0493407i	$-0.0157120\pi$
$607$	11.2509	+	19.4872i	0.456661	+	0.790960i	−0.542121	+	0.840300i	$0.682379\pi$
$608$	−8.42432	−	14.5914i	−0.341651	−	0.591757i
$609$	27.8026	−	19.7365i	1.12662	−	0.799764i
$610$		−	28.8737i		−	1.16906i
$611$	2.70225	+	1.09738i	0.109322	+	0.0443953i
$612$	−8.34047	+	17.2635i	−0.337144	+	0.697837i
$613$	5.71584	+	21.3318i	0.230861	+	0.861584i	0.979971	+	0.199139i	$0.0638146\pi$
$613$	5.71584	+	21.3318i	0.230861	+	0.861584i	−0.749110	+	0.662445i	$0.769519\pi$
$614$			19.4639i			0.785497i
$615$	−58.5581	−	13.4043i	−2.36129	−	0.540514i
$616$	−0.221211	+	1.06477i	−0.00891286	+	0.0429007i
$617$	−32.9027	+	8.81626i	−1.32461	+	0.354929i	−0.850704	−	0.525645i	$-0.823824\pi$
$617$	−32.9027	+	8.81626i	−1.32461	+	0.354929i	−0.473909	+	0.880574i	$0.657158\pi$
$618$	10.8734	−	0.399998i	0.437391	−	0.0160903i
$619$	−3.44662	+	12.8630i	−0.138531	+	0.517006i	0.861427	+	0.507881i	$0.169571\pi$
$619$	−3.44662	+	12.8630i	−0.138531	+	0.517006i	−0.999958	+	0.00912459i	$0.997096\pi$
$620$			8.88461i			0.356814i
$621$	1.88821	−	2.35858i	0.0757711	−	0.0946467i
$622$	1.41616	−	5.28517i	0.0567827	−	0.211916i
$623$	23.0391	+	11.6059i	0.923042	+	0.464980i
$624$	−1.52806	−	1.82076i	−0.0611712	−	0.0728886i
$625$	−7.69216	+	13.3232i	−0.307686	+	0.532928i
$626$	−3.93878	+	1.05539i	−0.157425	+	0.0421819i
$627$	0.737476	+	0.168813i	0.0294519	+	0.00674172i
$628$	−21.8185	+	12.5969i	−0.870652	+	0.502671i
$629$	3.19950	+	3.19950i	0.127572	+	0.127572i
$630$	13.5130	−	17.5959i	0.538371	−	0.701036i
$631$	−22.4362	+	6.01176i	−0.893171	+	0.239324i	−0.676081	−	0.736827i	$-0.736323\pi$
$631$	−22.4362	+	6.01176i	−0.893171	+	0.239324i	−0.217090	+	0.976152i	$0.569656\pi$
$632$	−11.3000	−	42.1723i	−0.449491	−	1.67752i
$633$	−33.5185	+	10.3160i	−1.33224	+	0.410024i
$634$	−7.51319	−	4.33774i	−0.298387	−	0.172274i
$635$	25.6937	−	25.6937i	1.01962	−	1.01962i
$636$	−27.1319	+	8.35038i	−1.07585	+	0.331114i
$637$	−0.253323	+	25.2376i	−0.0100370	+	0.999950i
$638$		−	0.921262i		−	0.0364731i
$639$	−19.1444	−	3.64729i	−0.757341	−	0.144285i
$640$	14.0105	−	24.2668i	0.553812	−	0.959230i
$641$	−16.1080			−0.636226			−0.318113	−	0.948053i	$-0.603049\pi$
$641$	−16.1080			−0.636226			−0.318113	+	0.948053i	$0.603049\pi$
$642$	10.6969	+	17.0479i	0.422174	+	0.672826i
$643$	8.53826	+	31.8652i	0.336716	+	1.25664i	0.901997	+	0.431743i	$0.142101\pi$
$643$	8.53826	+	31.8652i	0.336716	+	1.25664i	−0.565281	+	0.824899i	$0.691232\pi$
$644$	−1.92780	+	0.636194i	−0.0759658	+	0.0250695i
$645$	−4.21764	+	7.96802i	−0.166069	+	0.313740i
$646$	5.81194	+	10.0666i	0.228668	+	0.396064i
$647$	−6.94193	+	12.0238i	−0.272915	+	0.472703i	−0.969607	−	0.244667i	$-0.921321\pi$
$647$	−6.94193	+	12.0238i	−0.272915	+	0.472703i	0.696692	+	0.717371i	$0.254655\pi$
$648$	−24.4818	−	2.82089i	−0.961736	−	0.110815i
$649$	−0.513490	−	0.296464i	−0.0201562	−	0.0116372i
$650$	−15.2150	+	11.8437i	−0.596780	+	0.464547i
$651$	−8.97648	−	1.52305i	−0.351816	−	0.0596932i
$652$	−17.7636	−	4.75973i	−0.695674	−	0.186405i
$653$			15.6170i			0.611140i	0.952170	+	0.305570i	$0.0988470\pi$
$653$			15.6170i			0.611140i	−0.952170	+	0.305570i	$0.901153\pi$
$654$	−4.48593	+	1.38063i	−0.175414	+	0.0539871i
$655$	7.16958	+	1.92108i	0.280139	+	0.0750629i
$656$	1.00827	−	3.76292i	0.0393664	−	0.146917i
$657$	−19.0988	+	22.1368i	−0.745116	+	0.863639i
$658$	−1.72843	−	0.359091i	−0.0673812	−	0.0139988i
$659$	30.6162	+	17.6763i	1.19264	+	0.688571i	0.958904	−	0.283729i	$-0.0915717\pi$
$659$	30.6162	+	17.6763i	1.19264	+	0.688571i	0.233735	+	0.972300i	$0.424905\pi$
$660$	0.342004	+	1.11123i	0.0133125	+	0.0432547i
$661$	−17.7628	+	4.75952i	−0.690892	+	0.185124i	−0.587148	−	0.809480i	$-0.699749\pi$
$661$	−17.7628	+	4.75952i	−0.690892	+	0.185124i	−0.103745	+	0.994604i	$0.533082\pi$
$662$	−2.29099	−	3.96811i	−0.0890419	−	0.154225i
$663$	19.4427	+	23.1670i	0.755094	+	0.899733i
$664$	40.2513			1.56206
$665$	8.17562	+	24.7738i	0.317037	+	0.960686i
$666$	−1.00574	+	2.08174i	−0.0389718	+	0.0806658i
$667$	3.74655	−	2.16307i	0.145067	−	0.0837545i
$668$	8.02198	−	29.9385i	0.310380	−	1.15835i
$669$	6.41155	−	12.1128i	0.247885	−	0.468307i
$670$	0.973454	−	3.63298i	0.0376078	−	0.140354i
$671$	−1.09647	+	1.09647i	−0.0423288	+	0.0423288i
$672$	20.4366	+	16.9245i	0.788358	+	0.652876i
$673$	23.7961	−	13.7387i	0.917271	−	0.529587i	0.0345077	−	0.999404i	$-0.489014\pi$
$673$	23.7961	−	13.7387i	0.917271	−	0.529587i	0.882763	+	0.469818i	$0.155680\pi$
$674$	−5.25518	+	5.25518i	−0.202422	+	0.202422i
$675$	5.08378	−	33.3018i	0.195675	−	1.28179i
$676$	−16.5072	+	4.66983i	−0.634892	+	0.179609i
$677$	−5.10099	−	2.94506i	−0.196047	−	0.113188i	0.398763	−	0.917054i	$-0.369440\pi$
$677$	−5.10099	−	2.94506i	−0.196047	−	0.113188i	−0.594810	+	0.803866i	$0.702773\pi$
$678$	13.1627	−	0.484217i	0.505512	−	0.0185962i
$679$	−26.2826	+	17.2404i	−1.00863	+	0.661627i
$680$	−22.4688	+	38.9171i	−0.861640	+	1.49240i
$681$	26.6937	−	16.7494i	1.02291	−	0.641837i
$682$	−0.173956	+	0.173956i	−0.00666110	+	0.00666110i
$683$	−8.09729	+	8.09729i	−0.309834	+	0.309834i	−0.844845	−	0.535011i	$-0.820308\pi$
$683$	−8.09729	+	8.09729i	−0.309834	+	0.309834i	0.535011	+	0.844845i	$0.320308\pi$
$684$	7.52493	−	8.72190i	0.287723	−	0.333490i
$685$	1.70137	−	2.94685i	0.0650059	−	0.112593i
$686$	−2.59767	−	15.0540i	−0.0991795	−	0.574765i
$687$	−0.188811	−	5.13256i	−0.00720359	−	0.195819i
$688$	−0.506315	−	0.292321i	−0.0193031	−	0.0111446i
$689$	−5.53656	+	44.4376i	−0.210926	+	1.69294i
$690$	1.91599	−	2.06234i	0.0729406	−	0.0785120i
$691$	14.0479	−	14.0479i	0.534408	−	0.534408i	−0.387473	−	0.921881i	$-0.626652\pi$
$691$	14.0479	−	14.0479i	0.534408	−	0.534408i	0.921881	+	0.387473i	$0.126652\pi$
$692$	18.1908	−	10.5025i	0.691511	−	0.399244i
$693$	−1.18135	+	0.155046i	−0.0448758	+	0.00588971i
$694$	9.85925	−	9.85925i	0.374252	−	0.374252i
$695$	−5.71454	+	21.3270i	−0.216765	+	0.808978i
$696$	−31.1874	−	16.5081i	−1.18215	−	0.625739i
$697$	−12.8291	+	47.8789i	−0.485937	+	1.81354i
$698$	−7.43416	+	4.29211i	−0.281387	+	0.162459i
$699$	18.4364	+	17.1281i	0.697328	+	0.647843i
$700$	−15.0684	+	16.8907i	−0.569532	+	0.638409i
$701$	21.0870			0.796445			0.398223	−	0.917289i	$-0.369627\pi$
$701$	21.0870			0.796445			0.398223	+	0.917289i	$0.369627\pi$
$702$	−7.90866	+	13.2766i	−0.298493	+	0.501092i
$703$	−1.35929	−	2.35436i	−0.0512667	−	0.0887965i
$704$	0.582157	−	0.155989i	0.0219409	−	0.00587904i
$705$	−4.53776	+	1.39659i	−0.170902	+	0.0525985i
$706$	11.2946	+	6.52093i	0.425077	+	0.245418i
$707$	−1.60658	−	0.333776i	−0.0604217	−	0.0125529i
$708$	−7.64727	+	4.79838i	−0.287402	+	0.180334i
$709$	−4.70711	+	17.5672i	−0.176779	+	0.659749i	0.819462	+	0.573133i	$0.194272\pi$
$709$	−4.70711	+	17.5672i	−0.176779	+	0.659749i	−0.996242	+	0.0866164i	$0.972395\pi$
$710$	−17.5394	−	4.69966i	−0.658241	−	0.176375i
$711$	39.5565	−	26.8963i	1.48348	−	1.00869i
$712$		−	26.6986i		−	1.00057i
$713$	−1.11587	−	0.298997i	−0.0417898	−	0.0111975i
$714$	−14.0992	−	11.6762i	−0.527649	−	0.436971i
$715$	1.82002	+	0.226759i	0.0680647	+	0.00848031i
$716$	−6.21839	−	3.59019i	−0.232392	−	0.134172i
$717$	−6.15276	+	3.86064i	−0.229779	+	0.144178i
$718$	7.84702	−	13.5914i	0.292848	−	0.507228i
$719$	−5.43322	−	9.41061i	−0.202625	−	0.350957i	0.746748	−	0.665107i	$-0.231614\pi$
$719$	−5.43322	−	9.41061i	−0.202625	−	0.350957i	−0.949373	+	0.314150i	$0.898281\pi$
$720$	3.80107	+	0.724161i	0.141658	+	0.0269879i
$721$	4.09870	−	19.7285i	0.152644	−	0.734727i
$722$	2.24871	+	8.39229i	0.0836882	+	0.312329i
$723$	26.2225	−	16.4537i	0.975225	−	0.611918i
$724$	5.46143			0.202973
$725$	24.1183	−	41.7742i	0.895732	−	1.55145i
$726$	7.33707	−	13.8613i	0.272304	−	0.514441i
$727$		−	21.9355i		−	0.813544i	−0.913530	−	0.406772i	$-0.866654\pi$
$727$		−	21.9355i		−	0.813544i	0.913530	−	0.406772i	$-0.133346\pi$
$728$	23.4448	−	11.5167i	0.868922	−	0.426837i
$729$	−5.90859	−	26.3456i	−0.218837	−	0.975761i
$730$	−19.2621	+	19.2621i	−0.712924	+	0.712924i
$731$	6.44228	+	3.71945i	0.238276	+	0.137569i
$732$	6.94509	+	22.5659i	0.256698	+	0.834058i
$733$	2.53578	+	9.46367i	0.0936613	+	0.349549i	0.996813	−	0.0797727i	$-0.0254195\pi$
$733$	2.53578	+	9.46367i	0.0936613	+	0.349549i	−0.903152	+	0.429321i	$0.858753\pi$
$734$	2.60469	−	0.697925i	0.0961410	−	0.0257609i
$735$	−25.6513	−	32.0942i	−0.946164	−	1.18381i
$736$	2.38068	+	2.38068i	0.0877532	+	0.0877532i
$737$	−0.174928	+	0.100995i	−0.00644356	+	0.00372019i
$738$	−25.2585	+	1.86089i	−0.929779	+	0.0685002i
$739$	3.17499	−	0.850735i	0.116794	−	0.0312948i	−0.199949	−	0.979806i	$-0.564078\pi$
$739$	3.17499	−	0.850735i	0.116794	−	0.0312948i	0.316743	+	0.948512i	$0.397411\pi$
$740$	2.08897	−	3.61820i	0.0767920	−	0.133008i
$741$	−7.68101	−	16.4684i	−0.282169	−	0.604981i
$742$	−1.54301	−	27.0610i	−0.0566457	−	0.993441i
$743$	8.77354	−	32.7433i	0.321870	−	1.20124i	−0.595551	−	0.803318i	$-0.703066\pi$
$743$	8.77354	−	32.7433i	0.321870	−	1.20124i	0.917421	−	0.397918i	$-0.130267\pi$
$744$	2.77178	+	9.00601i	0.101618	+	0.330176i
$745$			39.9198i			1.46255i
$746$	0.778386	−	2.90498i	0.0284987	−	0.106359i
$747$	14.5128	+	41.6434i	0.530997	+	1.52365i
$748$	0.926667	−	0.248300i	0.0338823	−	0.00907873i
$749$	35.3933	−	11.6802i	1.29324	−	0.426784i
$750$	1.60224	−	6.99956i	0.0585056	−	0.255588i
$751$		−	23.1659i		−	0.845335i	−0.906285	−	0.422668i	$-0.861094\pi$
$751$		−	23.1659i		−	0.845335i	0.906285	−	0.422668i	$-0.138906\pi$
$752$	−0.0796882	−	0.297401i	−0.00290593	−	0.0108451i
$753$	34.7597	+	32.2930i	1.26671	+	1.17682i
$754$	−17.4611	+	13.5922i	−0.635897	+	0.494997i
$755$			45.6761i			1.66233i
$756$	−6.32851	+	17.0021i	−0.230166	+	0.618362i
$757$	11.3933	+	19.7338i	0.414098	+	0.717238i	0.995333	−	0.0964973i	$-0.0307639\pi$
$757$	11.3933	+	19.7338i	0.414098	+	0.717238i	−0.581236	+	0.813735i	$0.697431\pi$
$758$	−3.79606	−	6.57496i	−0.137879	−	0.238813i
$759$	−0.151076	+	0.00555763i	−0.00548372	+	0.000201729i
$760$	19.0915	−	19.0915i	0.692522	−	0.692522i
$761$	−41.8609	−	11.2166i	−1.51746	−	0.406601i	−0.598553	−	0.801083i	$-0.704257\pi$
$761$	−41.8609	−	11.2166i	−1.51746	−	0.406601i	−0.918904	+	0.394482i	$0.870924\pi$
$762$	7.16690	−	13.5398i	0.259630	−	0.490495i
$763$	0.494807	+	8.67784i	0.0179132	+	0.314159i
$764$	3.53236	+	6.11822i	0.127796	+	0.221349i
$765$	−48.3643	−	9.21411i	−1.74861	−	0.333137i
$766$	−16.6233	+	9.59746i	−0.600624	+	0.346770i
$767$	1.95693	+	14.1064i	0.0706605	+	0.509353i
$768$	5.73946	−	25.0734i	0.207105	−	0.904759i
$769$	39.4100	+	10.5599i	1.42116	+	0.380799i	0.885896	−	0.463884i	$-0.153545\pi$
$769$	39.4100	+	10.5599i	1.42116	+	0.380799i	0.535266	+	0.844683i	$0.320211\pi$
$770$	−1.10833	+	0.0631966i	−0.0399414	+	0.00227745i
$771$	9.23090	−	40.3262i	0.332443	−	1.45231i
$772$	−7.20496	−	26.8893i	−0.259312	−	0.967766i
$773$	−3.14983	−	3.14983i	−0.113291	−	0.113291i	0.648188	−	0.761480i	$-0.275527\pi$
$773$	−3.14983	−	3.14983i	−0.113291	−	0.113291i	−0.761480	+	0.648188i	$0.775527\pi$
$774$	−0.711343	+	3.73379i	−0.0255687	+	0.134208i
$775$	−12.4420	+	3.33383i	−0.446930	+	0.119755i
$776$	28.1725	+	16.2654i	1.01134	+	0.583895i
$777$	3.29751	+	2.73082i	0.118297	+	0.0979677i
$778$	−1.90741	+	7.11854i	−0.0683838	+	0.255212i
$779$	14.8907	−	25.7915i	0.533515	−	0.924075i
$780$	16.0159	−	22.8771i	0.573460	−	0.819132i
$781$	0.487585	+	0.844521i	0.0174471	+	0.0302193i
$782$	−1.64243	−	1.64243i	−0.0587333	−	0.0587333i
$783$	5.83429	−	38.2181i	0.208500	−	1.36580i
$784$	2.14103	−	1.58583i	0.0764652	−	0.0566368i
$785$	−45.7469	−	45.7469i	−1.63278	−	1.63278i
$786$	3.12725	−	0.115042i	0.111545	−	0.00410341i
$787$	−20.7460	−	20.7460i	−0.739513	−	0.739513i	0.232970	−	0.972484i	$-0.425155\pi$
$787$	−20.7460	−	20.7460i	−0.739513	−	0.739513i	−0.972484	+	0.232970i	$0.925155\pi$
$788$	5.85470	+	1.56876i	0.208565	+	0.0558848i
$789$	5.40841	−	5.82153i	0.192545	−	0.207252i
$790$	38.5973	−	22.2842i	1.37323	−	0.792835i
$791$	4.96167	−	23.8823i	0.176417	−	0.849156i
$792$	0.693354	+	1.01972i	0.0246373	+	0.0362342i
$793$	36.9592	+	4.60481i	1.31246	+	0.163522i
$794$	−6.17329	+	3.56415i	−0.219082	+	0.126487i
$795$	−38.7452	−	61.7488i	−1.37415	−	2.19000i
$796$	5.21752			0.184930
$797$	−26.2595	+	45.4828i	−0.930159	+	1.61108i	−0.147113	+	0.989120i	$0.546998\pi$
$797$	−26.2595	+	45.4828i	−0.930159	+	1.61108i	−0.783047	+	0.621963i	$0.786335\pi$
$798$	6.36675	+	8.96875i	0.225381	+	0.317490i
$799$	1.01394	+	3.78408i	0.0358707	+	0.133871i
$800$	36.2607	+	9.71603i	1.28201	+	0.343514i
$801$	27.6220	−	9.62632i	0.975974	−	0.340129i
$802$	−6.25286			−0.220796
$803$	1.46295			0.0516263
$804$	0.113063	+	3.07345i	0.00398742	+	0.108392i
$805$	−2.85930	−	4.35893i	−0.100777	−	0.153632i
$806$	5.86358	+	0.730554i	0.206536	+	0.0257327i
$807$	37.2945	+	8.53692i	1.31283	+	0.300514i
$808$	0.439532	+	1.64036i	0.0154627	+	0.0577075i
$809$	−27.6012	−	15.9355i	−0.970406	−	0.560264i	−0.0710457	−	0.997473i	$-0.522634\pi$
$809$	−27.6012	−	15.9355i	−0.970406	−	0.560264i	−0.899360	+	0.437209i	$0.855967\pi$
$810$	−3.68673	−	24.8849i	−0.129538	−	0.874366i
$811$	−25.3948	+	25.3948i	−0.891733	+	0.891733i	−0.994686	−	0.102953i	$-0.967171\pi$
$811$	−25.3948	+	25.3948i	−0.891733	+	0.891733i	0.102953	+	0.994686i	$0.467171\pi$
$812$	−17.2929	+	19.3843i	−0.606863	+	0.680254i
$813$	29.2025	−	18.3235i	1.02418	−	0.642633i
$814$	0.111743	−	0.0299415i	0.00391659	−	0.00104945i
$815$		−	47.2247i		−	1.65421i
$816$	0.712423	−	3.11230i	0.0249398	−	0.108952i
$817$	−3.16038	−	3.16038i	−0.110568	−	0.110568i
$818$	−9.82287			−0.343449
$819$	20.3681	+	20.1032i	0.711720	+	0.702463i
$820$	45.7683			1.59830
$821$	16.7339	+	16.7339i	0.584017	+	0.584017i	0.936005	−	0.351987i	$-0.114494\pi$
$821$	16.7339	+	16.7339i	0.584017	+	0.584017i	−0.351987	+	0.936005i	$0.614494\pi$
$822$	0.320111	−	1.39844i	0.0111652	−	0.0487762i
$823$		−	8.03649i		−	0.280134i	−0.990142	−	0.140067i	$-0.955268\pi$
$823$		−	8.03649i		−	0.280134i	0.990142	−	0.140067i	$-0.0447318\pi$
$824$	−20.1432	+	5.39736i	−0.701723	+	0.188026i
$825$	−1.42784	+	0.895917i	−0.0497110	+	0.0311918i
$826$	−2.70141	−	8.18582i	−0.0939941	−	0.284821i
$827$	−16.9764	+	16.9764i	−0.590326	+	0.590326i	−0.937720	−	0.347393i	$-0.887067\pi$
$827$	−16.9764	+	16.9764i	−0.590326	+	0.590326i	0.347393	+	0.937720i	$0.387067\pi$
$828$	−1.00135	+	2.07265i	−0.0347995	+	0.0720297i
$829$	−7.23350	−	4.17626i	−0.251230	−	0.145048i	0.369097	−	0.929391i	$-0.379667\pi$
$829$	−7.23350	−	4.17626i	−0.251230	−	0.145048i	−0.620327	+	0.784343i	$0.713000\pi$
$830$	10.6346	+	39.6887i	0.369131	+	1.37762i
$831$	−18.1639	−	4.15783i	−0.630100	−	0.144234i
$832$	−11.5456	−	8.73249i	−0.400271	−	0.302745i
$833$	−27.2421	+	20.1779i	−0.943882	+	0.699122i
$834$	0.342209	+	9.30246i	0.0118497	+	0.322118i
$835$	79.5919			2.75439
$836$	−0.576401			−0.0199353
$837$	−8.31810	+	6.11480i	−0.287516	+	0.211359i
$838$	21.7975	+	5.84061i	0.752981	+	0.201761i
$839$	−8.08302	−	30.1662i	−0.279057	−	1.04145i	−0.953074	−	0.302738i	$-0.902099\pi$
$839$	−8.08302	−	30.1662i	−0.279057	−	1.04145i	0.674017	−	0.738716i	$-0.264567\pi$
$840$	−17.7208	+	38.6526i	−0.611427	+	1.33364i
$841$	13.1789	−	22.8265i	0.454444	−	0.787120i
$842$	24.3651			0.839678
$843$	−13.2004	−	21.0376i	−0.454644	−	0.724575i
$844$	23.1396	−	13.3596i	0.796497	−	0.459858i
$845$	−22.5543	−	37.8412i	−0.775893	−	1.30178i
$846$	−1.65530	+	1.12552i	−0.0569105	+	0.0386961i
$847$	−21.6728	−	19.3345i	−0.744685	−	0.664343i
$848$	4.09402	−	2.36368i	0.140589	−	0.0811692i
$849$	−32.9812	+	35.5004i	−1.13191	+	1.21837i
$850$	−25.0163	−	6.70309i	−0.858051	−	0.229914i
$851$	0.384131	+	0.384131i	0.0131678	+	0.0131678i
$852$	14.8381	−	0.545848i	0.508344	−	0.0187004i
$853$	3.17265	+	3.17265i	0.108629	+	0.108629i	0.759332	−	0.650703i	$-0.225526\pi$
$853$	3.17265	+	3.17265i	0.108629	+	0.108629i	−0.650703	+	0.759332i	$0.725526\pi$
$854$	−22.5069	+	1.28334i	−0.770171	+	0.0439149i
$855$	26.6353	+	12.8682i	0.910909	+	0.440084i
$856$	−27.2753	−	27.2753i	−0.932249	−	0.932249i
$857$	−13.8876	−	24.0540i	−0.474390	−	0.821668i	0.525179	−	0.850991i	$-0.323998\pi$
$857$	−13.8876	−	24.0540i	−0.474390	−	0.821668i	−0.999570	+	0.0293230i	$0.990665\pi$
$858$	0.761502	−	0.134339i	0.0259973	−	0.00458626i
$859$	0.483455	−	0.837369i	0.0164953	−	0.0285707i	−0.857660	−	0.514217i	$-0.828082\pi$
$859$	0.483455	−	0.837369i	0.0164953	−	0.0285707i	0.874155	+	0.485647i	$0.161416\pi$
$860$	1.77775	−	6.63464i	0.0606206	−	0.226239i
$861$	−7.84588	+	46.2415i	−0.267387	+	1.57591i
$862$	23.4828	+	13.5578i	0.799826	+	0.461780i
$863$	31.3266	−	8.39394i	1.06637	−	0.285733i	0.317369	−	0.948302i	$-0.397200\pi$
$863$	31.3266	−	8.39394i	1.06637	−	0.285733i	0.749001	+	0.662569i	$0.230534\pi$
$864$	29.9047	−	3.31226i	1.01738	−	0.112686i
$865$	38.1408	+	38.1408i	1.29682	+	1.29682i
$866$	−1.31701	−	4.91515i	−0.0447538	−	0.167024i
$867$	−2.49460	+	10.8979i	−0.0847210	+	0.370113i
$868$	6.92550	−	0.394890i	0.235067	−	0.0134034i
$869$	−2.31196	−	0.619487i	−0.0784277	−	0.0210146i
$870$	8.03757	−	35.1130i	0.272499	−	1.19044i
$871$	4.49506	+	1.82544i	0.152309	+	0.0618526i
$872$	7.79045	−	4.49782i	0.263818	−	0.152315i
$873$	−6.67019	+	35.0114i	−0.225752	+	1.18496i
$874$	0.697780	+	1.20859i	0.0236027	+	0.0408812i
$875$	−11.8759	−	5.98243i	−0.401477	−	0.202243i
$876$	10.4209	−	19.6872i	0.352089	−	0.665170i
$877$	−32.5971	−	8.73437i	−1.10073	−	0.294939i	−0.337666	−	0.941266i	$-0.609638\pi$
$877$	−32.5971	−	8.73437i	−1.10073	−	0.294939i	−0.763061	+	0.646327i	$0.776304\pi$
$878$	−23.8711	+	23.8711i	−0.805611	+	0.805611i
$879$	−11.8932	+	0.437516i	−0.401149	+	0.0147570i
$880$	−0.0968087	−	0.167678i	−0.00326342	−	0.00565241i
$881$	24.8741	+	43.0832i	0.838029	+	1.45151i	0.891540	+	0.452942i	$0.149626\pi$
$881$	24.8741	+	43.0832i	0.838029	+	1.45151i	−0.0535104	+	0.998567i	$0.517041\pi$
$882$	−14.3165	−	9.75124i	−0.482062	−	0.328341i
$883$		−	3.88004i		−	0.130574i	−0.997867	−	0.0652868i	$-0.979204\pi$
$883$		−	3.88004i		−	0.130574i	0.997867	−	0.0652868i	$-0.0207962\pi$
$884$	−18.3780	−	13.9002i	−0.618120	−	0.467514i
$885$	−16.9846	−	15.7794i	−0.570933	−	0.530417i
$886$	−2.91942	−	10.8954i	−0.0980799	−	0.366039i
$887$			0.447769i			0.0150346i	0.999972	+	0.00751730i	$0.00239285\pi$
$887$			0.447769i			0.0150346i	−0.999972	+	0.00751730i	$0.997607\pi$
$888$	0.988724	−	4.31935i	0.0331794	−	0.144948i
$889$	−21.1701	−	18.8861i	−0.710022	−	0.633420i
$890$	26.3254	−	7.05388i	0.882430	−	0.236447i
$891$	−0.804994	+	1.08500i	−0.0269683	+	0.0363488i
$892$	−2.70249	+	10.0858i	−0.0904859	+	0.337698i
$893$		−	2.35376i		−	0.0787655i
$894$	4.95073	+	16.0858i	0.165577	+	0.537990i
$895$	4.77228	−	17.8104i	0.159520	−	0.595336i
$896$	−19.5386	−	9.84250i	−0.652738	−	0.328815i
$897$	2.33429	+	2.78143i	0.0779397	+	0.0928691i
$898$	3.89604	−	6.74813i	0.130012	−	0.225188i
$899$	−14.2788	+	3.82600i	−0.476225	+	0.127604i
$900$	1.88579	+	25.5966i	0.0628597	+	0.853219i
$901$	−52.0917	+	30.0752i	−1.73543	+	1.00195i
$902$	0.896116	+	0.896116i	0.0298374	+	0.0298374i
$903$	6.39849	+	2.93348i	0.212928	+	0.0976200i
$904$	−24.3843	+	6.53376i	−0.811011	+	0.217310i
$905$	3.62983	+	13.5467i	0.120660	+	0.450307i
$906$	5.66461	+	18.4053i	0.188194	+	0.611476i
$907$	−16.6077	−	9.58845i	−0.551449	−	0.318379i	0.198257	−	0.980150i	$-0.436472\pi$
$907$	−16.6077	−	9.58845i	−0.551449	−	0.318379i	−0.749706	+	0.661771i	$0.769805\pi$
$908$	−16.9773	+	16.9773i	−0.563411	+	0.563411i
$909$	−1.53861	+	1.04617i	−0.0510325	+	0.0346993i
$910$	17.5499	+	20.0743i	0.581774	+	0.665458i
$911$		−	22.2136i		−	0.735968i	−0.929832	−	0.367984i	$-0.880048\pi$
$911$		−	22.2136i		−	0.735968i	0.929832	−	0.367984i	$-0.119952\pi$
$912$	−0.897429	+	1.69543i	−0.0297168	+	0.0561414i
$913$	1.10332	−	1.91101i	0.0365147	−	0.0632453i
$914$	34.0130			1.12505
$915$	−51.3571	+	32.2247i	−1.69781	+	1.06532i
$916$	1.01277	+	3.77971i	0.0334629	+	0.124885i
$917$	1.17881	−	5.67403i	0.0389278	−	0.187373i
$918$	−20.6312	+	2.28513i	−0.680932	+	0.0754206i
$919$	−14.9582	−	25.9083i	−0.493424	−	0.854635i	0.506547	−	0.862212i	$-0.330922\pi$
$919$	−14.9582	−	25.9083i	−0.493424	−	0.854635i	−0.999971	+	0.00757672i	$0.997588\pi$
$920$	−2.69760	+	4.67238i	−0.0889372	+	0.154044i
$921$	34.6199	−	21.7228i	1.14077	−	0.715790i
$922$	8.70829	+	5.02773i	0.286792	+	0.165580i
$923$	8.81289	−	21.7014i	0.290080	−	0.714309i
$924$	0.850999	−	0.315981i	0.0279958	−	0.0103950i
$925$	5.85079	+	1.56771i	0.192373	+	0.0515461i
$926$			14.9843i			0.492414i
$927$	−12.8468	−	18.8938i	−0.421943	−	0.620554i
$928$	41.6139	+	11.1504i	1.36604	+	0.366030i
$929$	0.849545	−	3.17054i	0.0278727	−	0.104022i	−0.950588	−	0.310455i	$-0.899519\pi$
$929$	0.849545	−	3.17054i	0.0278727	−	0.104022i	0.978461	+	0.206432i	$0.0661854\pi$
$930$	−8.14782	+	5.11246i	−0.267177	+	0.167644i
$931$	18.9477	−	7.47396i	0.620984	−	0.244949i
$932$	−16.6040	−	9.58633i	−0.543882	−	0.314011i
$933$	−10.9811	+	3.37966i	−0.359506	+	0.110645i
$934$	12.3489	−	3.30888i	0.404069	−	0.108270i
$935$	1.23178	+	2.13350i	0.0402835	+	0.0697730i
$936$	9.09763	−	28.1863i	0.297365	−	0.921298i
$937$	8.55036			0.279328			0.139664	−	0.990199i	$-0.455398\pi$
$937$	8.55036			0.279328			0.139664	+	0.990199i	$0.455398\pi$
$938$	−2.87515	−	0.597329i	−0.0938771	−	0.0195035i
$939$	6.27310	+	5.82794i	0.204715	+	0.190188i
$940$	3.13265	−	1.80863i	0.102176	−	0.0589912i
$941$	7.44575	−	27.7879i	0.242724	−	0.905860i	−0.731789	−	0.681531i	$-0.761314\pi$
$941$	7.44575	−	27.7879i	0.242724	−	0.905860i	0.974514	−	0.224329i	$-0.0720189\pi$
$942$	−24.1072	−	12.7605i	−0.785456	−	0.415758i
$943$	−1.54026	+	5.74832i	−0.0501577	+	0.187191i
$944$	1.06308	−	1.06308i	0.0346002	−	0.0346002i
$945$	−46.3787	−	4.39730i	−1.50870	−	0.143044i
$946$	0.164710	−	0.0950951i	0.00535517	−	0.00309181i
$947$	−20.2773	+	20.2773i	−0.658924	+	0.658924i	−0.955126	−	0.296201i	$-0.904280\pi$
$947$	−20.2773	+	20.2773i	−0.658924	+	0.658924i	0.296201	+	0.955126i	$0.404280\pi$
$948$	−24.8051	+	26.6998i	−0.805632	+	0.867169i
$949$	−21.5841	−	27.7280i	−0.700650	−	0.900089i
$950$	13.4758	+	7.78026i	0.437213	+	0.252425i
$951$	0.669696	+	18.2047i	0.0217164	+	0.590329i
$952$	31.3344	+	15.7846i	1.01555	+	0.511582i
$953$	11.6757	−	20.2229i	0.378213	−	0.655084i	−0.612589	−	0.790401i	$-0.709872\pi$
$953$	11.6757	−	20.2229i	0.378213	−	0.655084i	0.990802	+	0.135317i	$0.0432054\pi$
$954$	−23.2704	−	20.0768i	−0.753406	−	0.650011i
$955$	−12.8281	+	12.8281i	−0.415108	+	0.415108i
$956$	3.91317	−	3.91317i	0.126561	−	0.126561i
$957$	−1.63863	+	1.02818i	−0.0529694	+	0.0332364i
$958$	−5.40728	+	9.36568i	−0.174701	+	0.302591i
$959$	−2.37268	−	1.19523i	−0.0766177	−	0.0385959i
$960$	23.5493	−	0.866306i	0.760049	−	0.0279599i
$961$	−23.4282	−	13.5263i	−0.755748	−	0.436331i
$962$	−2.21613	−	1.67617i	−0.0714511	−	0.0540419i
$963$	18.3843	−	38.0528i	0.592426	−	1.22623i
$964$	−16.6776	+	16.6776i	−0.537148	+	0.537148i
$965$	61.9083	−	35.7428i	1.99290	−	1.15060i
$966$	−1.69274	−	1.40184i	−0.0544632	−	0.0451035i
$967$	−1.82241	+	1.82241i	−0.0586047	+	0.0586047i	−0.735802	−	0.677197i	$-0.763194\pi$
$967$	−1.82241	+	1.82241i	−0.0586047	+	0.0586047i	0.677197	+	0.735802i	$0.263194\pi$
$968$	−7.77970	+	29.0342i	−0.250049	+	0.933196i
$969$	11.4187	−	21.5724i	0.366823	−	0.693007i
$970$	−8.59478	+	32.0761i	−0.275962	+	1.02990i
$971$	−1.80548	+	1.04239i	−0.0579406	+	0.0334520i	−0.528690	−	0.848815i	$-0.677317\pi$
$971$	−1.80548	+	1.04239i	−0.0579406	+	0.0334520i	0.470750	+	0.882267i	$0.343983\pi$
$972$	8.86695	+	18.5616i	0.284408	+	0.595365i
$973$	16.8782	+	3.50655i	0.541092	+	0.112415i
$974$	−9.69184			−0.310546
$975$	38.0469	+	13.8443i	1.21848	+	0.443373i
$976$	−1.96590	−	3.40504i	−0.0629269	−	0.108993i
$977$	−6.99169	+	1.87342i	−0.223684	+	0.0599359i	−0.368920	−	0.929461i	$-0.620272\pi$
$977$	−6.99169	+	1.87342i	−0.223684	+	0.0599359i	0.145236	+	0.989397i	$0.453606\pi$
$978$	−5.85665	−	19.0293i	−0.187275	−	0.608491i
$979$	−1.26757	−	0.731832i	−0.0405117	−	0.0233894i
$980$	24.5066	+	19.4747i	0.782835	+	0.622095i
$981$	7.46226	+	6.43817i	0.238252	+	0.205555i
$982$	2.05354	−	7.66391i	0.0655311	−	0.244565i
$983$	−14.6763	−	3.93250i	−0.468101	−	0.125427i	0.0170554	−	0.999855i	$-0.494571\pi$
$983$	−14.6763	−	3.93250i	−0.468101	−	0.125427i	−0.485157	+	0.874427i	$0.661238\pi$
$984$	46.3937	−	14.2786i	1.47898	−	0.455184i
$985$			15.5648i			0.495936i
$986$	−28.7094	−	7.69266i	−0.914294	−	0.244984i
$987$	1.29032	+	3.47509i	0.0410713	+	0.110613i
$988$	8.50413	+	10.9248i	0.270553	+	0.347565i
$989$	0.773458	+	0.446556i	0.0245945	+	0.0141997i
$990$	−0.822280	+	0.953077i	−0.0261338	+	0.0302908i
$991$	−12.6769	+	21.9571i	−0.402696	+	0.697489i	−0.994050	−	0.108922i	$-0.965260\pi$
$991$	−12.6769	+	21.9571i	−0.402696	+	0.697489i	0.591355	+	0.806412i	$0.298593\pi$
$992$	−5.75220	−	9.96311i	−0.182633	−	0.316329i
$993$	−4.50112	+	8.50358i	−0.142839	+	0.269853i
$994$	−2.88380	+	13.8807i	−0.0914685	+	0.440270i
$995$	3.46771	+	12.9417i	0.109934	+	0.410279i
$996$	−17.8577	−	28.4602i	−0.565844	−	0.901796i
$997$	−8.12619			−0.257359			−0.128679	−	0.991686i	$-0.541074\pi$
$997$	−8.12619			−0.257359			−0.128679	+	0.991686i	$0.541074\pi$
$998$	−10.2418	+	17.7393i	−0.324198	+	0.561528i
$999$	4.82522	−	0.534445i	0.152663	−	0.0169091i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bv.b.2.12	✓	128
3.2	odd	2	inner	273.2.bv.b.2.21	yes	128
7.4	even	3		273.2.bw.b.158.21	yes	128
13.7	odd	12		273.2.bw.b.254.12	yes	128
21.11	odd	6		273.2.bw.b.158.12	yes	128
39.20	even	12		273.2.bw.b.254.21	yes	128
91.46	odd	12	inner	273.2.bv.b.137.21	yes	128
273.137	even	12	inner	273.2.bv.b.137.12	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.12	✓	128	1.1	even	1	trivial
273.2.bv.b.2.21	yes	128	3.2	odd	2	inner
273.2.bv.b.137.12	yes	128	273.137	even	12	inner
273.2.bv.b.137.21	yes	128	91.46	odd	12	inner
273.2.bw.b.158.12	yes	128	21.11	odd	6
273.2.bw.b.158.21	yes	128	7.4	even	3
273.2.bw.b.254.12	yes	128	13.7	odd	12
273.2.bw.b.254.21	yes	128	39.20	even	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.583259 - 0.583259i) q^{2} +(-0.386481 + 1.68838i) q^{3} -1.31962i q^{4} +(3.27322 - 0.877056i) q^{5} +(1.21018 - 0.759346i) q^{6} +(-0.829143 - 2.51247i) q^{7} +(-1.93620 + 1.93620i) q^{8} +(-2.70127 - 1.30505i) q^{9} +O(q^{10})\)	\(q+(-0.583259 - 0.583259i) q^{2} +(-0.386481 + 1.68838i) q^{3} -1.31962i q^{4} +(3.27322 - 0.877056i) q^{5} +(1.21018 - 0.759346i) q^{6} +(-0.829143 - 2.51247i) q^{7} +(-1.93620 + 1.93620i) q^{8} +(-2.70127 - 1.30505i) q^{9} +(-2.42069 - 1.39758i) q^{10} +(0.0388520 + 0.144998i) q^{11} +(2.22802 + 0.510006i) q^{12} +(2.17500 - 2.87565i) q^{13} +(-0.981818 + 1.94903i) q^{14} +(0.215770 + 5.86540i) q^{15} -0.380624 q^{16} +4.84300 q^{17} +(0.814354 + 2.33672i) q^{18} +(-2.81063 - 0.753106i) q^{19} +(-1.15738 - 4.31939i) q^{20} +(4.56246 - 0.428889i) q^{21} +(0.0619104 - 0.107232i) q^{22} +0.581449 q^{23} +(-2.52074 - 4.01734i) q^{24} +(5.61459 - 3.24159i) q^{25} +(-2.94584 + 0.408665i) q^{26} +(3.24741 - 4.05639i) q^{27} +(-3.31550 + 1.09415i) q^{28} +(6.44347 - 3.72014i) q^{29} +(3.29520 - 3.54690i) q^{30} +(-1.91912 - 0.514228i) q^{31} +(4.09440 + 4.09440i) q^{32} +(-0.259827 + 0.00955824i) q^{33} +(-2.82472 - 2.82472i) q^{34} +(-4.91755 - 7.49666i) q^{35} +(-1.72217 + 3.56464i) q^{36} +(0.660645 + 0.660645i) q^{37} +(1.20007 + 2.07858i) q^{38} +(4.01461 + 4.78361i) q^{39} +(-4.63944 + 8.03575i) q^{40} +(-2.64900 + 9.88620i) q^{41} +(-2.91125 - 2.41094i) q^{42} +(1.33022 + 0.768006i) q^{43} +(0.191341 - 0.0512698i) q^{44} +(-9.98643 - 1.90256i) q^{45} +(-0.339136 - 0.339136i) q^{46} +(0.209362 + 0.781350i) q^{47} +(0.147104 - 0.642638i) q^{48} +(-5.62504 + 4.16640i) q^{49} +(-5.16545 - 1.38408i) q^{50} +(-1.87173 + 8.17683i) q^{51} +(-3.79476 - 2.87016i) q^{52} +(-10.7561 + 6.21002i) q^{53} +(-4.26001 + 0.471842i) q^{54} +(0.254342 + 0.440533i) q^{55} +(6.47003 + 3.25926i) q^{56} +(2.35778 - 4.45435i) q^{57} +(-5.92802 - 1.58841i) q^{58} +(-2.79299 + 2.79299i) q^{59} +(7.74009 - 0.284734i) q^{60} +(5.16494 + 8.94594i) q^{61} +(0.819419 + 1.41928i) q^{62} +(-1.03918 + 7.86893i) q^{63} -4.01494i q^{64} +(4.59713 - 11.3202i) q^{65} +(0.157121 + 0.145972i) q^{66} +(0.348263 + 1.29974i) q^{67} -6.39091i q^{68} +(-0.224719 + 0.981708i) q^{69} +(-1.50430 + 7.24070i) q^{70} +(6.27489 - 1.68135i) q^{71} +(7.75703 - 2.70334i) q^{72} +(2.52237 - 9.41360i) q^{73} -0.770654i q^{74} +(3.30311 + 10.7324i) q^{75} +(-0.993812 + 3.70896i) q^{76} +(0.332089 - 0.217838i) q^{77} +(0.448528 - 5.13164i) q^{78} +(-7.97239 + 13.8086i) q^{79} +(-1.24586 + 0.333828i) q^{80} +(5.59367 + 7.05059i) q^{81} +(7.31127 - 4.22116i) q^{82} +(-10.3944 - 10.3944i) q^{83} +(-0.565969 - 6.02070i) q^{84} +(15.8522 - 4.24758i) q^{85} +(-0.327920 - 1.22381i) q^{86} +(3.79074 + 12.3168i) q^{87} +(-0.355969 - 0.205519i) q^{88} +(-6.89460 + 6.89460i) q^{89} +(4.71499 + 6.93437i) q^{90} +(-9.02839 - 3.08029i) q^{91} -0.767290i q^{92} +(1.60992 - 3.04148i) q^{93} +(0.333617 - 0.577842i) q^{94} -9.86032 q^{95} +(-8.49531 + 5.33050i) q^{96} +(-3.07487 - 11.4756i) q^{97} +(5.71095 + 0.850766i) q^{98} +(0.0842801 - 0.442381i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Introduction

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