LMFDB - Embedded newform 30.10.e.a.23.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [30,10,Mod(17,30)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(30, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1]))

N = Newforms(chi, 10, names="a")

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

chi := DirichletCharacter("30.17");

S:= CuspForms(chi, 10);

N := Newforms(S);

Level:	$ N $	$=$	$ 30 = 2 \cdot 3 \cdot 5 $
Weight:	$ k $	$=$	$ 10 $
Character orbit:	$[\chi]$	$=$	30.e (of order $4$, degree $2$, 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:	$15.4510750849$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$18$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			23.2
Character	$\chi$	$=$	30.23
Dual form			30.10.e.a.17.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-11.3137 - 11.3137i) q^{2} +(-125.652 - 62.4065i) q^{3} +256.000i q^{4} +(-1151.16 + 792.434i) q^{5} +(715.542 + 2127.64i) q^{6} +(-1314.95 + 1314.95i) q^{7} +(2896.31 - 2896.31i) q^{8} +(11893.9 + 15683.0i) q^{9} +O(q^{10})$	\(q+(-11.3137 - 11.3137i) q^{2} +(-125.652 - 62.4065i) q^{3} +256.000i q^{4} +(-1151.16 + 792.434i) q^{5} +(715.542 + 2127.64i) q^{6} +(-1314.95 + 1314.95i) q^{7} +(2896.31 - 2896.31i) q^{8} +(11893.9 + 15683.0i) q^{9} +(21989.3 + 4058.54i) q^{10} +57477.2i q^{11} +(15976.1 - 32166.9i) q^{12} +(-101793. - 101793. i) q^{13} +29753.9 q^{14} +(194099. - 27731.0i) q^{15} -65536.0 q^{16} +(28956.3 + 28956.3i) q^{17} +(42869.2 - 311997. i) q^{18} -741693. i q^{19} +(-202863. - 294697. i) q^{20} +(247287. - 83164.6i) q^{21} +(650281. - 650281. i) q^{22} +(97527.5 - 97527.5i) q^{23} +(-544676. + 183179. i) q^{24} +(697222. - 1.82444e6i) q^{25} +2.30332e6i q^{26} +(-515768. - 2.71285e6i) q^{27} +(-336627. - 336627. i) q^{28} +4.65965e6 q^{29} +(-2.50972e6 - 1.88224e6i) q^{30} -2.20368e6 q^{31} +(741455. + 741455. i) q^{32} +(3.58695e6 - 7.22213e6i) q^{33} -655206. i q^{34} +(471709. - 2.55573e6i) q^{35} +(-4.01485e6 + 3.04483e6i) q^{36} +(4.81100e6 - 4.81100e6i) q^{37} +(-8.39130e6 + 8.39130e6i) q^{38} +(6.43797e6 + 1.91431e7i) q^{39} +(-1.03899e6 + 5.62925e6i) q^{40} +1.92841e7i q^{41} +(-3.73864e6 - 1.85683e6i) q^{42} +(2.22019e7 + 2.22019e7i) q^{43} -1.47142e7 q^{44} +(-2.61195e7 - 8.62857e6i) q^{45} -2.20680e6 q^{46} +(-1.46996e7 - 1.46996e7i) q^{47} +(8.23473e6 + 4.08987e6i) q^{48} +3.68954e7i q^{49} +(-2.85293e7 + 1.27530e7i) q^{50} +(-1.83136e6 - 5.44548e6i) q^{51} +(2.60591e7 - 2.60591e7i) q^{52} +(6.77700e7 - 6.77700e7i) q^{53} +(-2.48572e7 + 3.65277e7i) q^{54} +(-4.55469e7 - 6.61656e7i) q^{55} +7.61699e6i q^{56} +(-4.62864e7 + 9.31952e7i) q^{57} +(-5.27179e7 - 5.27179e7i) q^{58} -5.74951e7 q^{59} +(7.09913e6 + 4.96893e7i) q^{60} +1.76204e8 q^{61} +(2.49318e7 + 2.49318e7i) q^{62} +(-3.62622e7 - 4.98252e6i) q^{63} -1.67772e7i q^{64} +(1.97845e8 + 3.65161e7i) q^{65} +(-1.22291e8 + 4.11274e7i) q^{66} +(1.92043e8 - 1.92043e8i) q^{67} +(-7.41281e6 + 7.41281e6i) q^{68} +(-1.83409e7 + 6.16818e6i) q^{69} +(-3.42515e7 + 2.35780e7i) q^{70} -1.21552e8i q^{71} +(7.98711e7 + 1.09745e7i) q^{72} +(-5.63920e7 - 5.63920e7i) q^{73} -1.08861e8 q^{74} +(-2.01464e8 + 1.85733e8i) q^{75} +1.89873e8 q^{76} +(-7.55796e7 - 7.55796e7i) q^{77} +(1.43742e8 - 2.89417e8i) q^{78} -5.37361e8i q^{79} +(7.54425e7 - 5.19329e7i) q^{80} +(-1.04492e8 + 3.73063e8i) q^{81} +(2.18174e8 - 2.18174e8i) q^{82} +(-9.18826e7 + 9.18826e7i) q^{83} +(2.12901e7 + 6.33055e7i) q^{84} +(-5.62793e7 - 1.03874e7i) q^{85} -5.02371e8i q^{86} +(-5.85494e8 - 2.90792e8i) q^{87} +(1.66472e8 + 1.66472e8i) q^{88} -4.92604e8 q^{89} +(1.97887e8 + 3.93130e8i) q^{90} +2.67706e8 q^{91} +(2.49670e7 + 2.49670e7i) q^{92} +(2.76897e8 + 1.37524e8i) q^{93} +3.32614e8i q^{94} +(5.87742e8 + 8.53808e8i) q^{95} +(-4.68937e7 - 1.39437e8i) q^{96} +(-8.26926e8 + 8.26926e8i) q^{97} +(4.17424e8 - 4.17424e8i) q^{98} +(-9.01416e8 + 6.83627e8i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 296 q^{3} + 4544 q^{6} + 9756 q^{7}+O(q^{10}) $ 36 * q + 296 * q^3 + 4544 * q^6 + 9756 * q^7	$ 36 q + 296 q^{3} + 4544 q^{6} + 9756 q^{7} + 51264 q^{10} - 75776 q^{12} - 78120 q^{13} + 201428 q^{15} - 2359296 q^{16} - 276352 q^{18} - 1187968 q^{21} - 1065024 q^{22} - 8730936 q^{25} - 8987584 q^{27} + 2497536 q^{28} + 10183488 q^{30} - 19149912 q^{31} - 24042964 q^{33} + 7783424 q^{36} + 57972384 q^{37} - 20938752 q^{40} - 36541376 q^{42} + 129617424 q^{43} + 188714992 q^{45} - 10734336 q^{46} - 19398656 q^{48} + 61133728 q^{51} + 19998720 q^{52} - 84302028 q^{55} - 191033896 q^{57} + 129597120 q^{58} - 14761984 q^{60} - 258546456 q^{61} + 113024276 q^{63} - 177217408 q^{66} - 95099256 q^{67} - 64737216 q^{70} + 70746112 q^{72} - 744318180 q^{73} - 436271432 q^{75} + 274489344 q^{76} + 416094720 q^{78} - 2874828308 q^{81} - 1243259136 q^{82} - 93014352 q^{85} + 2750699540 q^{87} - 272646144 q^{88} - 319472512 q^{90} + 4799502000 q^{91} + 1861719848 q^{93} - 297795584 q^{96} - 2636190468 q^{97}+O(q^{100}) $ 36 * q + 296 * q^3 + 4544 * q^6 + 9756 * q^7 + 51264 * q^10 - 75776 * q^12 - 78120 * q^13 + 201428 * q^15 - 2359296 * q^16 - 276352 * q^18 - 1187968 * q^21 - 1065024 * q^22 - 8730936 * q^25 - 8987584 * q^27 + 2497536 * q^28 + 10183488 * q^30 - 19149912 * q^31 - 24042964 * q^33 + 7783424 * q^36 + 57972384 * q^37 - 20938752 * q^40 - 36541376 * q^42 + 129617424 * q^43 + 188714992 * q^45 - 10734336 * q^46 - 19398656 * q^48 + 61133728 * q^51 + 19998720 * q^52 - 84302028 * q^55 - 191033896 * q^57 + 129597120 * q^58 - 14761984 * q^60 - 258546456 * q^61 + 113024276 * q^63 - 177217408 * q^66 - 95099256 * q^67 - 64737216 * q^70 + 70746112 * q^72 - 744318180 * q^73 - 436271432 * q^75 + 274489344 * q^76 + 416094720 * q^78 - 2874828308 * q^81 - 1243259136 * q^82 - 93014352 * q^85 + 2750699540 * q^87 - 272646144 * q^88 - 319472512 * q^90 + 4799502000 * q^91 + 1861719848 * q^93 - 297795584 * q^96 - 2636190468 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/30\mathbb{Z}\right)^\times$.

$n$	$7$	$11$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$

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 $

$2$	−11.3137	−	11.3137i	−0.500000	−	0.500000i
$2$	−11.3137	−	11.3137i	−0.500000	−	0.500000i
$3$	−125.652	−	62.4065i	−0.895620	−	0.444820i
$3$	−125.652	−	62.4065i	−0.895620	−	0.444820i
$4$			256.000i			0.500000i
$5$	−1151.16	+	792.434i	−0.823704	+	0.567019i
$5$	−1151.16	+	792.434i	−0.823704	+	0.567019i
$6$	715.542	+	2127.64i	0.225400	+	0.670220i
$7$	−1314.95	+	1314.95i	−0.206999	+	0.206999i	−0.802990	−	0.595992i	$-0.796759\pi$
$7$	−1314.95	+	1314.95i	−0.206999	+	0.206999i	0.595992	+	0.802990i	$0.296759\pi$
$8$	2896.31	−	2896.31i	0.250000	−	0.250000i
$9$	11893.9	+	15683.0i	0.604271	+	0.796779i
$10$	21989.3	+	4058.54i	0.695362	+	0.128342i
$11$			57477.2i			1.18367i	0.806061	+	0.591833i	$0.201595\pi$
$11$			57477.2i			1.18367i	−0.806061	+	0.591833i	$0.798405\pi$
$12$	15976.1	−	32166.9i	0.222410	−	0.447810i
$13$	−101793.	−	101793.i	−0.988494	−	0.988494i	0.0114403	−	0.999935i	$-0.496358\pi$
$13$	−101793.	−	101793.i	−0.988494	−	0.988494i	−0.999935	+	0.0114403i	$0.996358\pi$
$14$	29753.9			0.206999
$15$	194099.	−	27731.0i	0.989948	−	0.141434i
$16$	−65536.0			−0.250000
$17$	28956.3	+	28956.3i	0.0840858	+	0.0840858i	0.747899	−	0.663813i	$-0.231063\pi$
$17$	28956.3	+	28956.3i	0.0840858	+	0.0840858i	−0.663813	+	0.747899i	$0.731063\pi$
$18$	42869.2	−	311997.i	0.0962540	−	0.700525i
$19$		−	741693.i		−	1.30567i	−0.757501	−	0.652834i	$-0.773580\pi$
$19$		−	741693.i		−	1.30567i	0.757501	−	0.652834i	$-0.226420\pi$
$20$	−202863.	−	294697.i	−0.283510	−	0.411852i
$21$	247287.	−	83164.6i	0.277469	−	0.0933151i
$22$	650281.	−	650281.i	0.591833	−	0.591833i
$23$	97527.5	−	97527.5i	0.0726695	−	0.0726695i	−0.669838	−	0.742507i	$-0.733636\pi$
$23$	97527.5	−	97527.5i	0.0726695	−	0.0726695i	0.742507	+	0.669838i	$0.233636\pi$
$24$	−544676.	+	183179.i	−0.335110	+	0.112700i
$25$	697222.	−	1.82444e6i	0.356978	−	0.934113i
$26$			2.30332e6i			0.988494i
$27$	−515768.	−	2.71285e6i	−0.186774	−	0.982403i
$28$	−336627.	−	336627.i	−0.103499	−	0.103499i
$29$	4.65965e6			1.22338			0.611691	−	0.791097i	$-0.290490\pi$
$29$	4.65965e6			1.22338			0.611691	+	0.791097i	$0.290490\pi$
$30$	−2.50972e6	−	1.88224e6i	−0.565691	−	0.424257i
$31$	−2.20368e6			−0.428569			−0.214285	−	0.976771i	$-0.568742\pi$
$31$	−2.20368e6			−0.428569			−0.214285	+	0.976771i	$0.568742\pi$
$32$	741455.	+	741455.i	0.125000	+	0.125000i
$33$	3.58695e6	−	7.22213e6i	0.526518	−	1.06011i
$34$		−	655206.i		−	0.0840858i
$35$	471709.	−	2.55573e6i	0.0531334	−	0.287878i
$36$	−4.01485e6	+	3.04483e6i	−0.398389	+	0.302135i
$37$	4.81100e6	−	4.81100e6i	0.422015	−	0.422015i	−0.463882	−	0.885897i	$-0.653544\pi$
$37$	4.81100e6	−	4.81100e6i	0.422015	−	0.422015i	0.885897	+	0.463882i	$0.153544\pi$
$38$	−8.39130e6	+	8.39130e6i	−0.652834	+	0.652834i
$39$	6.43797e6	+	1.91431e7i	0.445614	+	1.32502i
$40$	−1.03899e6	+	5.62925e6i	−0.0641712	+	0.347681i
$41$			1.92841e7i			1.06579i	0.846182	+	0.532895i	$0.178896\pi$
$41$			1.92841e7i			1.06579i	−0.846182	+	0.532895i	$0.821104\pi$
$42$	−3.73864e6	−	1.85683e6i	−0.185392	−	0.0920771i
$43$	2.22019e7	+	2.22019e7i	0.990333	+	0.990333i	0.999954	−	0.00962097i	$-0.00306250\pi$
$43$	2.22019e7	+	2.22019e7i	0.990333	+	0.990333i	−0.00962097	+	0.999954i	$0.503062\pi$
$44$	−1.47142e7			−0.591833
$45$	−2.61195e7	−	8.62857e6i	−0.949530	−	0.313677i
$46$	−2.20680e6			−0.0726695
$47$	−1.46996e7	−	1.46996e7i	−0.439405	−	0.439405i	0.452407	−	0.891812i	$-0.350566\pi$
$47$	−1.46996e7	−	1.46996e7i	−0.439405	−	0.439405i	−0.891812	+	0.452407i	$0.850566\pi$
$48$	8.23473e6	+	4.08987e6i	0.223905	+	0.111205i
$49$			3.68954e7i			0.914303i
$50$	−2.85293e7	+	1.27530e7i	−0.645545	+	0.288568i
$51$	−1.83136e6	−	5.44548e6i	−0.0379059	−	0.112712i
$52$	2.60591e7	−	2.60591e7i	0.494247	−	0.494247i
$53$	6.77700e7	−	6.77700e7i	1.17977	−	1.17977i	0.199963	−	0.979803i	$-0.435918\pi$
$53$	6.77700e7	−	6.77700e7i	1.17977	−	1.17977i	0.979803	−	0.199963i	$-0.0640822\pi$
$54$	−2.48572e7	+	3.65277e7i	−0.397814	+	0.584589i
$55$	−4.55469e7	−	6.61656e7i	−0.671161	−	0.974990i
$56$			7.61699e6i			0.103499i
$57$	−4.62864e7	+	9.31952e7i	−0.580787	+	1.16938i
$58$	−5.27179e7	−	5.27179e7i	−0.611691	−	0.611691i
$59$	−5.74951e7			−0.617728			−0.308864	−	0.951106i	$-0.599949\pi$
$59$	−5.74951e7			−0.617728			−0.308864	+	0.951106i	$0.599949\pi$
$60$	7.09913e6	+	4.96893e7i	0.0707171	+	0.494974i
$61$	1.76204e8			1.62942			0.814708	−	0.579872i	$-0.196897\pi$
$61$	1.76204e8			1.62942			0.814708	+	0.579872i	$0.196897\pi$
$62$	2.49318e7	+	2.49318e7i	0.214285	+	0.214285i
$63$	−3.62622e7	−	4.98252e6i	−0.290015	−	0.0398489i
$64$		−	1.67772e7i		−	0.125000i
$65$	1.97845e8	+	3.65161e7i	1.37472	+	0.253732i
$66$	−1.22291e8	+	4.11274e7i	−0.793316	+	0.266798i
$67$	1.92043e8	−	1.92043e8i	1.16429	−	1.16429i	0.180765	−	0.983526i	$-0.442143\pi$
$67$	1.92043e8	−	1.92043e8i	1.16429	−	1.16429i	0.983526	−	0.180765i	$-0.0578572\pi$
$68$	−7.41281e6	+	7.41281e6i	−0.0420429	+	0.0420429i
$69$	−1.83409e7	+	6.16818e6i	−0.0974091	+	0.0327594i
$70$	−3.42515e7	+	2.35780e7i	−0.170506	+	0.117372i
$71$		−	1.21552e8i		−	0.567675i	−0.958872	−	0.283837i	$-0.908392\pi$
$71$		−	1.21552e8i		−	0.567675i	0.958872	−	0.283837i	$-0.0916076\pi$
$72$	7.98711e7	+	1.09745e7i	0.350262	+	0.0481270i
$73$	−5.63920e7	−	5.63920e7i	−0.232415	−	0.232415i	0.581285	−	0.813700i	$-0.302550\pi$
$73$	−5.63920e7	−	5.63920e7i	−0.232415	−	0.232415i	−0.813700	+	0.581285i	$0.802550\pi$
$74$	−1.08861e8			−0.422015
$75$	−2.01464e8	+	1.85733e8i	−0.735228	+	0.677820i
$76$	1.89873e8			0.652834
$77$	−7.55796e7	−	7.55796e7i	−0.245017	−	0.245017i
$78$	1.43742e8	−	2.89417e8i	0.439702	−	0.885315i
$79$		−	5.37361e8i		−	1.55219i	−0.630617	−	0.776094i	$-0.717198\pi$
$79$		−	5.37361e8i		−	1.55219i	0.630617	−	0.776094i	$-0.282802\pi$
$80$	7.54425e7	−	5.19329e7i	0.205926	−	0.141755i
$81$	−1.04492e8	+	3.73063e8i	−0.269713	+	0.962941i
$82$	2.18174e8	−	2.18174e8i	0.532895	−	0.532895i
$83$	−9.18826e7	+	9.18826e7i	−0.212511	+	0.212511i	−0.805333	−	0.592822i	$-0.798014\pi$
$83$	−9.18826e7	+	9.18826e7i	−0.212511	+	0.212511i	0.592822	+	0.805333i	$0.298014\pi$
$84$	2.12901e7	+	6.33055e7i	0.0466575	+	0.138735i
$85$	−5.62793e7	−	1.03874e7i	−0.116940	−	0.0215836i
$86$		−	5.02371e8i		−	0.990333i
$87$	−5.85494e8	−	2.90792e8i	−1.09569	−	0.544185i
$88$	1.66472e8	+	1.66472e8i	0.295916	+	0.295916i
$89$	−4.92604e8			−0.832229			−0.416115	−	0.909312i	$-0.636608\pi$
$89$	−4.92604e8			−0.832229			−0.416115	+	0.909312i	$0.636608\pi$
$90$	1.97887e8	+	3.93130e8i	0.317926	+	0.631603i
$91$	2.67706e8			0.409234
$92$	2.49670e7	+	2.49670e7i	0.0363347	+	0.0363347i
$93$	2.76897e8	+	1.37524e8i	0.383835	+	0.190636i
$94$			3.32614e8i			0.439405i
$95$	5.87742e8	+	8.53808e8i	0.740339	+	1.07548i
$96$	−4.68937e7	−	1.39437e8i	−0.0563501	−	0.167555i
$97$	−8.26926e8	+	8.26926e8i	−0.948405	+	0.948405i	−0.998733	−	0.0503281i	$-0.983973\pi$
$97$	−8.26926e8	+	8.26926e8i	−0.948405	+	0.948405i	0.0503281	+	0.998733i	$0.483973\pi$
$98$	4.17424e8	−	4.17424e8i	0.457152	−	0.457152i
$99$	−9.01416e8	+	6.83627e8i	−0.943119	+	0.715254i
$100$	4.67056e8	+	1.78489e8i	0.467056	+	0.178489i
$101$			1.61289e9i			1.54226i	0.636675	+	0.771132i	$0.280309\pi$
$101$			1.61289e9i			1.54226i	−0.636675	+	0.771132i	$0.719691\pi$
$102$	−4.08891e7	+	8.23280e7i	−0.0374030	+	0.0753090i
$103$	8.40509e8	+	8.40509e8i	0.735825	+	0.735825i	0.971767	−	0.235942i	$-0.0758175\pi$
$103$	8.40509e8	+	8.40509e8i	0.735825	+	0.735825i	−0.235942	+	0.971767i	$0.575817\pi$
$104$	−5.89650e8			−0.494247
$105$	−2.18765e8	+	2.91695e8i	−0.175641	+	0.234195i
$106$	−1.53346e9			−1.17977
$107$	−7.96492e8	−	7.96492e8i	−0.587428	−	0.587428i	0.349506	−	0.936934i	$-0.386349\pi$
$107$	−7.96492e8	−	7.96492e8i	−0.587428	−	0.587428i	−0.936934	+	0.349506i	$0.886349\pi$
$108$	6.94491e8	−	1.32036e8i	0.491201	−	0.0933871i
$109$		−	1.02074e9i		−	0.692619i	−0.938120	−	0.346310i	$-0.887435\pi$
$109$		−	1.02074e9i		−	0.692619i	0.938120	−	0.346310i	$-0.112565\pi$
$110$	−2.33274e8	+	1.26388e9i	−0.151914	+	0.823076i
$111$	−9.04750e8	+	3.04275e8i	−0.565686	+	0.190245i
$112$	8.61765e7	−	8.61765e7i	0.0517497	−	0.0517497i
$113$	2.10227e9	−	2.10227e9i	1.21293	−	1.21293i	0.242867	−	0.970060i	$-0.421912\pi$
$113$	2.10227e9	−	2.10227e9i	1.21293	−	1.21293i	0.970060	−	0.242867i	$-0.0780879\pi$
$114$	1.57805e9	−	5.30712e8i	0.875085	−	0.294298i
$115$	−3.49859e7	+	1.89554e8i	−0.0186532	+	0.101063i
$116$			1.19287e9i			0.611691i
$117$	3.85709e8	−	2.80714e9i	0.190293	−	1.38493i
$118$	6.50483e8	+	6.50483e8i	0.308864	+	0.308864i
$119$	−7.61521e7			−0.0348113
$120$	4.81853e8	−	6.42488e8i	0.212128	−	0.282845i
$121$	−9.45686e8			−0.401063
$122$	−1.99352e9	−	1.99352e9i	−0.814708	−	0.814708i
$123$	1.20345e9	−	2.42308e9i	0.474084	−	0.954542i
$124$		−	5.64142e8i		−	0.214285i
$125$	6.43132e8	+	2.65273e9i	0.235616	+	0.971846i
$126$	3.53889e8	+	4.66630e8i	0.125083	+	0.164932i
$127$	−6.15473e8	+	6.15473e8i	−0.209939	+	0.209939i	−0.804241	−	0.594303i	$-0.797428\pi$
$127$	−6.15473e8	+	6.15473e8i	−0.209939	+	0.209939i	0.594303	+	0.804241i	$0.297428\pi$
$128$	−1.89813e8	+	1.89813e8i	−0.0625000	+	0.0625000i
$129$	−1.40417e9	−	4.17525e9i	−0.446442	−	1.32748i
$130$	−1.82523e9	−	2.65149e9i	−0.560496	−	0.814227i
$131$		−	1.67028e9i		−	0.495528i	−0.968820	−	0.247764i	$-0.920304\pi$
$131$		−	1.67028e9i		−	0.495528i	0.968820	−	0.247764i	$-0.0796957\pi$
$132$	1.84887e9	+	9.18260e8i	0.530057	+	0.263259i
$133$	9.75288e8	+	9.75288e8i	0.270272	+	0.270272i
$134$	−4.34543e9			−1.16429
$135$	2.74349e9	+	2.71422e9i	0.710888	+	0.703305i
$136$	1.67733e8			0.0420429
$137$	1.63721e9	+	1.63721e9i	0.397066	+	0.397066i	0.877197	−	0.480131i	$-0.159411\pi$
$137$	1.63721e9	+	1.63721e9i	0.397066	+	0.397066i	−0.480131	+	0.877197i	$0.659411\pi$
$138$	2.77288e8	+	1.37718e8i	0.0650842	+	0.0323248i
$139$		−	1.89234e9i		−	0.429964i	−0.976618	−	0.214982i	$-0.931031\pi$
$139$		−	1.89234e9i		−	0.429964i	0.976618	−	0.214982i	$-0.0689692\pi$
$140$	6.54266e8	+	1.20757e8i	0.143939	+	0.0265667i
$141$	9.29685e8	+	2.76439e9i	0.198084	+	0.588996i
$142$	−1.37520e9	+	1.37520e9i	−0.283837	+	0.283837i
$143$	5.85080e9	−	5.85080e9i	1.17005	−	1.17005i
$144$	−7.79476e8	−	1.02780e9i	−0.151068	−	0.199195i
$145$	−5.36401e9	+	3.69246e9i	−1.00771	+	0.693682i
$146$			1.27601e9i			0.232415i
$147$	2.30251e9	−	4.63599e9i	0.406700	−	0.818868i
$148$	1.23162e9	+	1.23162e9i	0.211007	+	0.211007i
$149$	7.89749e9			1.31266			0.656328	−	0.754476i	$-0.272109\pi$
$149$	7.89749e9			1.31266			0.656328	+	0.754476i	$0.272109\pi$
$150$	4.38064e9	+	1.77975e8i	0.706524	+	0.0287044i
$151$	−7.68518e8			−0.120298			−0.0601489	−	0.998189i	$-0.519158\pi$
$151$	−7.68518e8			−0.120298			−0.0601489	+	0.998189i	$0.519158\pi$
$152$	−2.14817e9	−	2.14817e9i	−0.326417	−	0.326417i
$153$	−1.09719e8	+	7.98524e8i	−0.0161872	+	0.117808i
$154$			1.71017e9i			0.245017i
$155$	2.53679e9	−	1.74627e9i	0.353014	−	0.243007i
$156$	−4.90063e9	+	1.64812e9i	−0.662509	+	0.222807i
$157$	−3.51474e9	+	3.51474e9i	−0.461684	+	0.461684i	−0.899207	−	0.437523i	$-0.855856\pi$
$157$	−3.51474e9	+	3.51474e9i	−0.461684	+	0.461684i	0.437523	+	0.899207i	$0.355856\pi$
$158$	−6.07955e9	+	6.07955e9i	−0.776094	+	0.776094i
$159$	−1.27447e10	+	4.28615e9i	−1.58141	+	0.531839i
$160$	−1.44109e9	−	2.65981e8i	−0.173840	−	0.0320856i
$161$			2.56487e8i			0.0300850i
$162$	5.40292e9	−	3.03853e9i	0.616327	−	0.346614i
$163$	−2.01938e9	−	2.01938e9i	−0.224065	−	0.224065i	0.586143	−	0.810208i	$-0.300646\pi$
$163$	−2.01938e9	−	2.01938e9i	−0.224065	−	0.224065i	−0.810208	+	0.586143i	$0.800646\pi$
$164$	−4.93672e9			−0.532895
$165$	1.59390e9	+	1.11563e10i	0.167411	+	1.17177i
$166$	2.07907e9			0.212511
$167$	−7.64313e9	−	7.64313e9i	−0.760409	−	0.760409i	0.215987	−	0.976396i	$-0.430703\pi$
$167$	−7.64313e9	−	7.64313e9i	−0.760409	−	0.760409i	−0.976396	+	0.215987i	$0.930703\pi$
$168$	4.75350e8	−	9.57091e8i	0.0460385	−	0.0926961i
$169$			1.01193e10i			0.954242i
$170$	5.19207e8	+	7.54248e8i	0.0476783	+	0.0692619i
$171$	1.16320e10	−	8.82159e9i	1.04033	−	0.788977i
$172$	−5.68367e9	+	5.68367e9i	−0.495166	+	0.495166i
$173$	−1.49796e9	+	1.49796e9i	−0.127143	+	0.127143i	−0.767815	−	0.640672i	$-0.778656\pi$
$173$	−1.49796e9	+	1.49796e9i	−0.127143	+	0.127143i	0.640672	+	0.767815i	$0.278656\pi$
$174$	3.33417e9	+	9.91405e9i	0.275751	+	0.819935i
$175$	1.48223e9	+	3.31585e9i	0.119466	+	0.267254i
$176$		−	3.76683e9i		−	0.295916i
$177$	7.22438e9	+	3.58807e9i	0.553249	+	0.274777i
$178$	5.57318e9	+	5.57318e9i	0.416115	+	0.416115i
$179$	−1.18007e10			−0.859150			−0.429575	−	0.903031i	$-0.641337\pi$
$179$	−1.18007e10			−0.859150			−0.429575	+	0.903031i	$0.641337\pi$
$180$	2.20891e9	−	6.68659e9i	0.156838	−	0.474765i
$181$	2.03820e10			1.41154			0.705770	−	0.708441i	$-0.250601\pi$
$181$	2.03820e10			1.41154			0.705770	+	0.708441i	$0.250601\pi$
$182$	−3.02875e9	−	3.02875e9i	−0.204617	−	0.204617i
$183$	−2.21404e10	−	1.09963e10i	−1.45934	−	0.724796i
$184$		−	5.64940e8i		−	0.0363347i
$185$	−1.72584e9	+	9.35064e9i	−0.108325	+	0.586906i
$186$	−1.57683e9	−	4.68864e9i	−0.0965996	−	0.287236i
$187$	−1.66433e9	+	1.66433e9i	−0.0995295	+	0.0995295i
$188$	3.76310e9	−	3.76310e9i	0.219703	−	0.219703i
$189$	4.24547e9	+	2.88906e9i	0.242018	+	0.164694i
$190$	3.01019e9	−	1.63093e10i	0.167573	−	0.907912i
$191$			1.36461e10i			0.741921i	0.928649	+	0.370960i	$0.120971\pi$
$191$			1.36461e10i			0.741921i	−0.928649	+	0.370960i	$0.879029\pi$
$192$	−1.04701e9	+	2.10809e9i	−0.0556025	+	0.111953i
$193$	−9.36152e9	−	9.36152e9i	−0.485667	−	0.485667i	0.421269	−	0.906936i	$-0.361585\pi$
$193$	−9.36152e9	−	9.36152e9i	−0.485667	−	0.485667i	−0.906936	+	0.421269i	$0.861585\pi$
$194$	1.87112e10			0.948405
$195$	−2.25808e10	−	1.69351e10i	−1.11836	−	0.838751i
$196$	−9.44523e9			−0.457152
$197$	2.52068e10	+	2.52068e10i	1.19239	+	1.19239i	0.976393	+	0.216002i	$0.0693017\pi$
$197$	2.52068e10	+	2.52068e10i	1.19239	+	1.19239i	0.216002	+	0.976393i	$0.430698\pi$
$198$	1.79327e10	+	2.46400e9i	0.829187	+	0.113933i
$199$		−	3.35366e10i		−	1.51593i	−0.652294	−	0.757966i	$-0.726193\pi$
$199$		−	3.35366e10i		−	1.51593i	0.652294	−	0.757966i	$-0.273807\pi$
$200$	−3.26477e9	−	7.30351e9i	−0.144284	−	0.322773i
$201$	−3.61153e10	+	1.21459e10i	−1.56066	+	0.524863i
$202$	1.82478e10	−	1.82478e10i	0.771132	−	0.771132i
$203$	−6.12720e9	+	6.12720e9i	−0.253238	+	0.253238i
$204$	1.39404e9	−	4.68827e8i	0.0563560	−	0.0189530i
$205$	−1.52813e10	−	2.21991e10i	−0.604323	−	0.877895i
$206$		−	1.90185e10i		−	0.735825i
$207$	2.68950e9	+	3.69545e8i	0.101814	+	0.0139895i
$208$	6.67113e9	+	6.67113e9i	0.247124	+	0.247124i
$209$	4.26305e10			1.54547
$210$	5.77519e9	−	8.25104e8i	0.204918	−	0.0292767i
$211$	4.65978e10			1.61843			0.809216	−	0.587512i	$-0.199892\pi$
$211$	4.65978e10			1.61843			0.809216	+	0.587512i	$0.199892\pi$
$212$	1.73491e10	+	1.73491e10i	0.589883	+	0.589883i
$213$	−7.58563e9	+	1.52733e10i	−0.252513	+	0.508421i
$214$			1.80226e10i			0.587428i
$215$	−4.31514e10	−	7.96443e9i	−1.37728	−	0.254203i
$216$	−9.35109e9	−	6.36344e9i	−0.292294	−	0.198907i
$217$	2.89773e9	−	2.89773e9i	0.0887132	−	0.0887132i
$218$	−1.15483e10	+	1.15483e10i	−0.346310	+	0.346310i
$219$	3.56654e9	+	1.06050e10i	0.104773	+	0.311539i
$220$	1.69384e10	−	1.16600e10i	0.487495	−	0.335581i
$221$		−	5.89511e9i		−	0.166237i
$222$	1.36786e10	+	6.79360e9i	0.377965	+	0.187721i
$223$	−2.21797e9	−	2.21797e9i	−0.0600599	−	0.0600599i	0.676439	−	0.736499i	$-0.263522\pi$
$223$	−2.21797e9	−	2.21797e9i	−0.0600599	−	0.0600599i	−0.736499	+	0.676439i	$0.763522\pi$
$224$	−1.94995e9			−0.0517497
$225$	3.69053e10	−	1.07651e10i	0.959993	−	0.280025i
$226$	−4.75688e10			−1.21293
$227$	−4.97053e10	−	4.97053e10i	−1.24247	−	1.24247i	−0.958973	−	0.283498i	$-0.908505\pi$
$227$	−4.97053e10	−	4.97053e10i	−1.24247	−	1.24247i	−0.283498	−	0.958973i	$-0.591495\pi$
$228$	−2.38580e10	−	1.18493e10i	−0.584691	−	0.290393i
$229$		−	2.89927e10i		−	0.696672i	−0.937370	−	0.348336i	$-0.886747\pi$
$229$		−	2.89927e10i		−	0.696672i	0.937370	−	0.348336i	$-0.113253\pi$
$230$	2.54038e9	−	1.74874e9i	0.0598582	−	0.0412050i
$231$	4.78007e9	+	1.42134e10i	0.110454	+	0.328431i
$232$	1.34958e10	−	1.34958e10i	0.305846	−	0.305846i
$233$	−4.03330e10	+	4.03330e10i	−0.896517	+	0.896517i	−0.995126	−	0.0986089i	$-0.968561\pi$
$233$	−4.03330e10	+	4.03330e10i	−0.896517	+	0.896517i	0.0986089	+	0.995126i	$0.468561\pi$
$234$	−3.61230e10	+	2.73954e10i	−0.787611	+	0.597318i
$235$	2.85701e10	+	5.27316e9i	0.611091	+	0.112789i
$236$		−	1.47188e10i		−	0.308864i
$237$	−3.35348e10	+	6.75205e10i	−0.690444	+	1.39017i
$238$	8.61562e8	+	8.61562e8i	0.0174057	+	0.0174057i
$239$	8.09023e10			1.60388			0.801938	−	0.597408i	$-0.203803\pi$
$239$	8.09023e10			1.60388			0.801938	+	0.597408i	$0.203803\pi$
$240$	−1.27205e10	+	1.81738e9i	−0.247487	+	0.0353585i
$241$	3.30018e10			0.630175			0.315088	−	0.949063i	$-0.397966\pi$
$241$	3.30018e10			0.630175			0.315088	+	0.949063i	$0.397966\pi$
$242$	1.06992e10	+	1.06992e10i	0.200532	+	0.200532i
$243$	3.64112e10	−	4.03551e10i	0.669896	−	0.742455i
$244$			4.51083e10i			0.814708i
$245$	−2.92372e10	−	4.24726e10i	−0.518428	−	0.753115i
$246$	−4.10295e10	+	1.37986e10i	−0.714313	+	0.240229i
$247$	−7.54994e10	+	7.54994e10i	−1.29065	+	1.29065i
$248$	−6.38254e9	+	6.38254e9i	−0.107142	+	0.107142i
$249$	1.72793e10	−	5.81117e9i	0.284859	−	0.0958002i
$250$	2.27360e10	−	3.72884e10i	0.368115	−	0.603731i
$251$		−	8.00859e10i		−	1.27357i	−0.771040	−	0.636787i	$-0.780263\pi$
$251$		−	8.00859e10i		−	1.27357i	0.771040	−	0.636787i	$-0.219737\pi$
$252$	1.27552e9	−	9.28311e9i	0.0199244	−	0.145008i
$253$	5.60561e9	+	5.60561e9i	0.0860163	+	0.0860163i
$254$	1.39266e10			0.209939
$255$	6.42337e9	+	4.81740e9i	0.0951332	+	0.0713480i
$256$	4.29497e9			0.0625000
$257$	6.02723e9	+	6.02723e9i	0.0861824	+	0.0861824i	0.748884	−	0.662701i	$-0.230590\pi$
$257$	6.02723e9	+	6.02723e9i	0.0861824	+	0.0861824i	−0.662701	+	0.748884i	$0.730590\pi$
$258$	−3.13512e10	+	6.31239e10i	−0.440519	+	0.886962i
$259$			1.26524e10i			0.174713i
$260$	−9.34813e9	+	5.06483e10i	−0.126866	+	0.687361i
$261$	5.54212e10	+	7.30773e10i	0.739254	+	0.974765i
$262$	−1.88970e10	+	1.88970e10i	−0.247764	+	0.247764i
$263$	−7.38714e10	+	7.38714e10i	−0.952085	+	0.952085i	−0.998903	−	0.0468187i	$-0.985092\pi$
$263$	−7.38714e10	+	7.38714e10i	−0.952085	+	0.952085i	0.0468187	+	0.998903i	$0.485092\pi$
$264$	−1.05286e10	−	3.13065e10i	−0.133399	−	0.396658i
$265$	−2.43110e10	+	1.31717e11i	−0.302828	+	1.64073i
$266$		−	2.20682e10i		−	0.270272i
$267$	6.18967e10	+	3.07417e10i	0.745361	+	0.370192i
$268$	4.91630e10	+	4.91630e10i	0.582145	+	0.582145i
$269$	1.35519e10			0.157803			0.0789013	−	0.996882i	$-0.474859\pi$
$269$	1.35519e10			0.157803			0.0789013	+	0.996882i	$0.474859\pi$
$270$	−3.31113e8	−	6.17470e10i	−0.00379175	−	0.707097i
$271$	5.21046e9			0.0586833			0.0293417	−	0.999569i	$-0.490659\pi$
$271$	5.21046e9			0.0586833			0.0293417	+	0.999569i	$0.490659\pi$
$272$	−1.89768e9	−	1.89768e9i	−0.0210215	−	0.0210215i
$273$	−3.36378e10	−	1.67066e10i	−0.366518	−	0.182035i
$274$		−	3.70459e10i		−	0.397066i
$275$	1.04864e11	+	4.00744e10i	1.10568	+	0.422542i
$276$	−1.57905e9	−	4.69527e9i	−0.0163797	−	0.0487045i
$277$	1.69379e10	−	1.69379e10i	0.172863	−	0.172863i	−0.615373	−	0.788236i	$-0.710995\pi$
$277$	1.69379e10	−	1.69379e10i	0.172863	−	0.172863i	0.788236	+	0.615373i	$0.210995\pi$
$278$	−2.14093e10	+	2.14093e10i	−0.214982	+	0.214982i
$279$	−2.62103e10	−	3.45603e10i	−0.258972	−	0.341475i
$280$	−6.03596e9	−	8.76839e9i	−0.0586861	−	0.0852528i
$281$		−	1.27973e11i		−	1.22444i	−0.790686	−	0.612222i	$-0.790276\pi$
$281$		−	1.27973e11i		−	1.22444i	0.790686	−	0.612222i	$-0.209724\pi$
$282$	2.07573e10	−	4.17936e10i	0.195456	−	0.393540i
$283$	−8.88582e10	−	8.88582e10i	−0.823490	−	0.823490i	0.163117	−	0.986607i	$-0.447845\pi$
$283$	−8.88582e10	−	8.88582e10i	−0.823490	−	0.823490i	−0.986607	+	0.163117i	$0.947845\pi$
$284$	3.11173e10			0.283837
$285$	−2.05679e10	−	1.43962e11i	−0.184666	−	1.29254i
$286$	−1.32388e11			−1.17005
$287$	−2.53576e10	−	2.53576e10i	−0.220617	−	0.220617i
$288$	−2.80947e9	+	2.04470e10i	−0.0240635	+	0.175131i
$289$		−	1.16911e11i		−	0.985859i
$290$	1.02462e11	+	1.89114e10i	0.850693	+	0.157012i
$291$	1.55510e11	−	5.22994e10i	1.27128	−	0.427541i
$292$	1.44364e10	−	1.44364e10i	0.116208	−	0.116208i
$293$	1.63168e10	−	1.63168e10i	0.129339	−	0.129339i	−0.639474	−	0.768813i	$-0.720848\pi$
$293$	1.63168e10	−	1.63168e10i	0.129339	−	0.129339i	0.768813	+	0.639474i	$0.220848\pi$
$294$	−7.85002e10	+	2.64002e10i	−0.612784	+	0.206084i
$295$	6.61862e10	−	4.55611e10i	0.508825	−	0.350264i
$296$		−	2.78683e10i		−	0.211007i
$297$	1.55927e11	−	2.96449e10i	1.16284	−	0.221078i
$298$	−8.93499e10	−	8.93499e10i	−0.656328	−	0.656328i
$299$	−1.98553e10			−0.143667
$300$	−4.75477e10	−	5.15748e10i	−0.338910	−	0.367614i
$301$	−5.83886e10			−0.409995
$302$	8.69479e9	+	8.69479e9i	0.0601489	+	0.0601489i
$303$	1.00655e11	−	2.02663e11i	0.686029	−	1.38128i
$304$			4.86076e10i			0.326417i
$305$	−2.02839e11	+	1.39630e11i	−1.34216	+	0.923910i
$306$	1.02756e10	−	7.79293e9i	0.0669978	−	0.0508106i
$307$	−2.30271e10	+	2.30271e10i	−0.147951	+	0.147951i	−0.777202	−	0.629251i	$-0.783362\pi$
$307$	−2.30271e10	+	2.30271e10i	−0.147951	+	0.147951i	0.629251	+	0.777202i	$0.283362\pi$
$308$	1.93484e10	−	1.93484e10i	0.122509	−	0.122509i
$309$	−5.31584e10	−	1.58065e11i	−0.331710	−	0.986330i
$310$	−4.84573e10	−	8.94373e9i	−0.298011	−	0.0550036i
$311$			2.23414e11i			1.35422i	0.735883	+	0.677108i	$0.236767\pi$
$311$			2.23414e11i			1.35422i	−0.735883	+	0.677108i	$0.763233\pi$
$312$	7.40907e10	+	3.67980e10i	0.442658	+	0.219851i
$313$	5.61972e10	+	5.61972e10i	0.330952	+	0.330952i	0.852948	−	0.521996i	$-0.174812\pi$
$313$	5.61972e10	+	5.61972e10i	0.330952	+	0.330952i	−0.521996	+	0.852948i	$0.674812\pi$
$314$	7.95295e10			0.461684
$315$	4.56919e10	−	2.29997e10i	0.261482	−	0.131621i
$316$	1.37564e11			0.776094
$317$	−1.24360e11	−	1.24360e11i	−0.691696	−	0.691696i	0.270909	−	0.962605i	$-0.412676\pi$
$317$	−1.24360e11	−	1.24360e11i	−0.691696	−	0.691696i	−0.962605	+	0.270909i	$0.912676\pi$
$318$	1.92682e11	+	9.56978e10i	1.05662	+	0.524783i
$319$			2.67824e11i			1.44808i
$320$	1.32948e10	+	1.93133e10i	0.0708774	+	0.102963i
$321$	5.03746e10	+	1.49787e11i	0.264813	+	0.787411i
$322$	2.90182e9	−	2.90182e9i	0.0150425	−	0.0150425i
$323$	2.14767e10	−	2.14767e10i	0.109788	−	0.109788i
$324$	−9.55041e10	−	2.67501e10i	−0.481470	−	0.134857i
$325$	−2.56688e11	+	1.14743e11i	−1.27624	+	0.570495i
$326$			4.56934e10i			0.224065i
$327$	−6.37006e10	+	1.28258e11i	−0.308091	+	0.620324i
$328$	5.58526e10	+	5.58526e10i	0.266447	+	0.266447i
$329$	3.86584e10			0.181913
$330$	1.08186e11	−	1.44252e11i	0.502178	−	0.669589i
$331$	−8.69693e10			−0.398236			−0.199118	−	0.979976i	$-0.563808\pi$
$331$	−8.69693e10			−0.398236			−0.199118	+	0.979976i	$0.563808\pi$
$332$	−2.35219e10	−	2.35219e10i	−0.106256	−	0.106256i
$333$	1.32672e11	+	1.82295e10i	0.591264	+	0.0812413i
$334$			1.72944e11i			0.760409i
$335$	−6.88912e10	+	3.73254e11i	−0.298856	+	1.61921i
$336$	−1.62062e10	+	5.45028e9i	−0.0693673	+	0.0233288i
$337$	1.80133e11	−	1.80133e11i	0.760780	−	0.760780i	−0.215683	−	0.976463i	$-0.569198\pi$
$337$	1.80133e11	−	1.80133e11i	0.760780	−	0.760780i	0.976463	+	0.215683i	$0.0691979\pi$
$338$	1.14486e11	−	1.14486e11i	0.477121	−	0.477121i
$339$	−3.95349e11	+	1.32959e11i	−1.62586	+	0.546788i
$340$	2.65918e9	−	1.44075e10i	0.0107918	−	0.0584701i
$341$		−	1.26661e11i		−	0.507282i
$342$	−2.31406e11	−	3.17958e10i	−0.914653	−	0.125676i
$343$	−1.01578e11	−	1.01578e11i	−0.396258	−	0.396258i
$344$	1.28607e11			0.495166
$345$	1.62254e10	−	2.16345e10i	0.0616610	−	0.0822169i
$346$	3.38949e10			0.127143
$347$	−1.00610e11	−	1.00610e11i	−0.372527	−	0.372527i	0.495870	−	0.868397i	$-0.334849\pi$
$347$	−1.00610e11	−	1.00610e11i	−0.372527	−	0.372527i	−0.868397	+	0.495870i	$0.834849\pi$
$348$	7.44428e10	−	1.49887e11i	0.272092	−	0.547843i
$349$			2.02217e11i			0.729632i	0.931080	+	0.364816i	$0.118868\pi$
$349$			2.02217e11i			0.729632i	−0.931080	+	0.364816i	$0.881132\pi$
$350$	2.07451e10	−	5.42842e10i	0.0738939	−	0.193360i
$351$	−2.23649e11	+	3.28652e11i	−0.786474	+	1.15572i
$352$	−4.26168e10	+	4.26168e10i	−0.147958	+	0.147958i
$353$	9.89337e10	−	9.89337e10i	0.339124	−	0.339124i	−0.516914	−	0.856037i	$-0.672919\pi$
$353$	9.89337e10	−	9.89337e10i	0.339124	−	0.339124i	0.856037	+	0.516914i	$0.172919\pi$
$354$	−4.11402e10	−	1.22329e11i	−0.139236	−	0.414013i
$355$	9.63220e10	+	1.39926e11i	0.321883	+	0.467596i
$356$		−	1.26107e11i		−	0.416115i
$357$	9.56866e9	+	4.75238e9i	0.0311777	+	0.0154848i
$358$	1.33510e11	+	1.33510e11i	0.429575	+	0.429575i
$359$	−4.91285e10			−0.156102			−0.0780510	−	0.996949i	$-0.524870\pi$
$359$	−4.91285e10			−0.156102			−0.0780510	+	0.996949i	$0.524870\pi$
$360$	−1.00641e11	+	5.06592e10i	−0.315802	+	0.158963i
$361$	−2.27420e11			−0.704770
$362$	−2.30596e11	−	2.30596e11i	−0.705770	−	0.705770i
$363$	1.18827e11	+	5.90169e10i	0.359200	+	0.178401i
$364$			6.85327e10i			0.204617i
$365$	1.09603e11	+	2.02294e10i	0.323225	+	0.0596575i
$366$	1.26081e11	+	3.74899e11i	0.367271	+	1.09207i
$367$	3.36020e11	−	3.36020e11i	0.966869	−	0.966869i	−0.0325998	−	0.999468i	$-0.510379\pi$
$367$	3.36020e11	−	3.36020e11i	0.966869	−	0.966869i	0.999468	+	0.0325998i	$0.0103787\pi$
$368$	−6.39156e9	+	6.39156e9i	−0.0181674	+	0.0181674i
$369$	−3.02432e11	+	2.29362e11i	−0.849198	+	0.644025i
$370$	1.25316e11	−	8.62648e10i	0.347616	−	0.239291i
$371$			1.78228e11i			0.488420i
$372$	−3.52061e10	+	7.08856e10i	−0.0953180	+	0.191918i
$373$	1.54374e11	+	1.54374e11i	0.412938	+	0.412938i	0.882761	−	0.469823i	$-0.155682\pi$
$373$	1.54374e11	+	1.54374e11i	0.412938	+	0.412938i	−0.469823	+	0.882761i	$0.655682\pi$
$374$	3.76594e10			0.0995295
$375$	8.47366e10	−	3.73456e11i	0.221274	−	0.975212i
$376$	−8.51492e10			−0.219703
$377$	−4.74321e11	−	4.74321e11i	−1.20931	−	1.20931i
$378$	−1.53461e10	−	8.07180e10i	−0.0386620	−	0.203356i
$379$		−	6.20396e11i		−	1.54452i	−0.635309	−	0.772258i	$-0.719127\pi$
$379$		−	6.20396e11i		−	1.54452i	0.635309	−	0.772258i	$-0.280873\pi$
$380$	−2.18575e11	+	1.50462e11i	−0.537742	+	0.370170i
$381$	1.15745e11	−	3.89259e10i	0.281410	−	0.0946404i
$382$	1.54388e11	−	1.54388e11i	0.370960	−	0.370960i
$383$	3.56525e11	−	3.56525e11i	0.846635	−	0.846635i	−0.143077	−	0.989712i	$-0.545700\pi$
$383$	3.56525e11	−	3.56525e11i	0.846635	−	0.846635i	0.989712	+	0.143077i	$0.0456996\pi$
$384$	3.56959e10	−	1.20048e10i	0.0837775	−	0.0281750i
$385$	1.46896e11	+	2.71125e10i	0.340751	+	0.0628922i
$386$			2.11827e11i			0.485667i
$387$	−8.41258e10	+	6.12257e11i	−0.190647	+	1.38751i
$388$	−2.11693e11	−	2.11693e11i	−0.474202	−	0.474202i
$389$	3.04047e11			0.673236			0.336618	−	0.941641i	$-0.390717\pi$
$389$	3.04047e11			0.673236			0.336618	+	0.941641i	$0.390717\pi$
$390$	6.38733e10	+	4.47072e11i	0.139807	+	0.978558i
$391$	5.64807e9			0.0122209
$392$	1.06861e11	+	1.06861e11i	0.228576	+	0.228576i
$393$	−1.04236e11	+	2.09874e11i	−0.220421	+	0.443805i
$394$		−	5.70365e11i		−	1.19239i
$395$	4.25823e11	+	6.18590e11i	0.880121	+	1.27854i
$396$	−1.75008e11	−	2.30762e11i	−0.357627	−	0.471560i
$397$	1.89895e11	−	1.89895e11i	0.383668	−	0.383668i	−0.488754	−	0.872422i	$-0.662548\pi$
$397$	1.89895e11	−	1.89895e11i	0.383668	−	0.383668i	0.872422	+	0.488754i	$0.162548\pi$
$398$	−3.79423e11	+	3.79423e11i	−0.757966	+	0.757966i
$399$	−6.16826e10	−	1.83411e11i	−0.121839	−	0.362283i
$400$	−4.56932e10	+	1.19566e11i	−0.0892445	+	0.233528i
$401$		−	6.79195e11i		−	1.31173i	−0.754878	−	0.655865i	$-0.772304\pi$
$401$		−	6.79195e11i		−	1.31173i	0.754878	−	0.655865i	$-0.227696\pi$
$402$	5.46013e11	+	2.71183e11i	1.04276	+	0.517900i
$403$	2.24320e11	+	2.24320e11i	0.423638	+	0.423638i
$404$	−4.12900e11			−0.771132
$405$	−1.75340e11	−	5.12259e11i	−0.323842	−	0.946111i
$406$	1.38643e11			0.253238
$407$	2.76523e11	+	2.76523e11i	0.499524	+	0.499524i
$408$	−2.10760e10	−	1.04676e10i	−0.0376545	−	0.0187015i
$409$		−	8.43238e11i		−	1.49003i	−0.667047	−	0.745016i	$-0.732442\pi$
$409$		−	8.43238e11i		−	1.49003i	0.667047	−	0.745016i	$-0.267558\pi$
$410$	−7.82652e10	+	4.24043e11i	−0.136786	+	0.741109i
$411$	−1.03546e11	−	3.07892e11i	−0.178997	−	0.532243i
$412$	−2.15170e11	+	2.15170e11i	−0.367913	+	0.367913i
$413$	7.56031e10	−	7.56031e10i	0.127869	−	0.127869i
$414$	−2.62473e10	−	3.46092e10i	−0.0439120	−	0.0579015i
$415$	3.29609e10	−	1.78583e11i	0.0545484	−	0.295544i
$416$		−	1.50950e11i		−	0.247124i
$417$	−1.18094e11	+	2.37776e11i	−0.191256	+	0.385084i
$418$	−4.82309e11	−	4.82309e11i	−0.772737	−	0.772737i
$419$	1.07868e12			1.70974			0.854870	−	0.518842i	$-0.173637\pi$
$419$	1.07868e12			1.70974			0.854870	+	0.518842i	$0.173637\pi$
$420$	−7.46738e10	−	5.60039e10i	−0.117097	−	0.0878206i
$421$	4.98261e11			0.773014			0.386507	−	0.922286i	$-0.373681\pi$
$421$	4.98261e11			0.773014			0.386507	+	0.922286i	$0.373681\pi$
$422$	−5.27194e11	−	5.27194e11i	−0.809216	−	0.809216i
$423$	5.56988e10	−	4.05369e11i	0.0845890	−	0.615629i
$424$		−	3.92566e11i		−	0.589883i
$425$	7.30180e10	−	3.26400e10i	0.108562	−	0.0485289i
$426$	2.58619e11	−	8.69756e10i	0.380467	−	0.127954i
$427$	−2.31699e11	+	2.31699e11i	−0.337287	+	0.337287i
$428$	2.03902e11	−	2.03902e11i	0.293714	−	0.293714i
$429$	−1.10029e12	+	3.70037e11i	−1.56838	+	0.527457i
$430$	3.98095e11	+	5.78310e11i	0.561538	+	0.815741i
$431$		−	9.25151e9i		−	0.0129141i	−0.999979	−	0.00645706i	$-0.997945\pi$
$431$		−	9.25151e9i		−	0.0129141i	0.999979	−	0.00645706i	$-0.00205536\pi$
$432$	3.38013e10	+	1.77790e11i	0.0466936	+	0.245601i
$433$	1.19841e11	+	1.19841e11i	0.163836	+	0.163836i	0.784264	−	0.620428i	$-0.213041\pi$
$433$	1.19841e11	+	1.19841e11i	0.163836	+	0.163836i	−0.620428	+	0.784264i	$0.713041\pi$
$434$	−6.55680e10			−0.0887132
$435$	9.04432e11	−	1.29217e11i	1.21108	−	0.173028i
$436$	2.61309e11			0.346310
$437$	−7.23355e10	−	7.23355e10i	−0.0948822	−	0.0948822i
$438$	7.96310e10	−	1.60333e11i	0.103383	−	0.208156i
$439$			1.24893e12i			1.60490i	0.596718	+	0.802451i	$0.296471\pi$
$439$			1.24893e12i			1.60490i	−0.596718	+	0.802451i	$0.703529\pi$
$440$	−3.23554e11	−	5.97181e10i	−0.411538	−	0.0759572i
$441$	−5.78631e11	+	4.38829e11i	−0.728497	+	0.552487i
$442$	−6.66956e10	+	6.66956e10i	−0.0831184	+	0.0831184i
$443$	−9.33974e11	+	9.33974e11i	−1.15217	+	1.15217i	−0.166058	+	0.986116i	$0.553104\pi$
$443$	−9.33974e11	+	9.33974e11i	−1.15217	+	1.15217i	−0.986116	+	0.166058i	$0.946896\pi$
$444$	−7.78943e10	−	2.31616e11i	−0.0951223	−	0.282843i
$445$	5.67067e11	−	3.90356e11i	0.685511	−	0.471890i
$446$			5.01870e10i			0.0600599i
$447$	−9.92335e11	−	4.92854e11i	−1.17564	−	0.583895i
$448$	2.20612e10	+	2.20612e10i	0.0258748	+	0.0258748i
$449$	2.86021e11			0.332115			0.166058	−	0.986116i	$-0.446896\pi$
$449$	2.86021e11			0.332115			0.166058	+	0.986116i	$0.446896\pi$
$450$	−5.39329e11	−	2.95743e11i	−0.620009	−	0.339984i
$451$	−1.10840e12			−1.26154
$452$	5.38180e11	+	5.38180e11i	0.606463	+	0.606463i
$453$	9.65659e10	+	4.79605e10i	0.107741	+	0.0535109i
$454$			1.12470e12i			1.24247i
$455$	−3.08173e11	+	2.12139e11i	−0.337088	+	0.232044i
$456$	1.35862e11	+	4.03982e11i	0.147149	+	0.437542i
$457$	−4.56335e11	+	4.56335e11i	−0.489397	+	0.489397i	−0.908116	−	0.418719i	$-0.862479\pi$
$457$	−4.56335e11	+	4.56335e11i	−0.489397	+	0.489397i	0.418719	+	0.908116i	$0.362479\pi$
$458$	−3.28015e11	+	3.28015e11i	−0.348336	+	0.348336i
$459$	6.36195e10	−	9.34889e10i	0.0669011	−	0.0983112i
$460$	−4.85259e10	−	8.95638e9i	−0.0505316	−	0.00932658i
$461$		−	1.16695e12i		−	1.20336i	−0.798736	−	0.601682i	$-0.794498\pi$
$461$		−	1.16695e12i		−	1.20336i	0.798736	−	0.601682i	$-0.205502\pi$
$462$	1.06726e11	−	2.14887e11i	0.108988	−	0.219442i
$463$	8.65923e11	+	8.65923e11i	0.875719	+	0.875719i	0.993088	−	0.117369i	$-0.0374461\pi$
$463$	8.65923e11	+	8.65923e11i	0.875719	+	0.875719i	−0.117369	+	0.993088i	$0.537446\pi$
$464$	−3.05375e11			−0.305846
$465$	−4.27732e11	+	6.11102e10i	−0.424261	+	0.0606143i
$466$	9.12631e11			0.896517
$467$	5.25489e11	+	5.25489e11i	0.511255	+	0.511255i	0.914911	−	0.403656i	$-0.132261\pi$
$467$	5.25489e11	+	5.25489e11i	0.511255	+	0.511255i	−0.403656	+	0.914911i	$0.632261\pi$
$468$	7.18628e11	+	9.87414e10i	0.692465	+	0.0951465i
$469$			5.05053e11i			0.482013i
$470$	−2.63575e11	−	3.82893e11i	−0.249151	−	0.361940i
$471$	6.60977e11	−	2.22292e11i	0.618860	−	0.208127i
$472$	−1.66524e11	+	1.66524e11i	−0.154432	+	0.154432i
$473$	−1.27610e12	+	1.27610e12i	−1.17222	+	1.17222i
$474$	1.14331e12	−	3.84504e11i	1.04031	−	0.349864i
$475$	−1.35317e12	−	5.17125e11i	−1.21964	−	0.466095i
$476$		−	1.94949e10i		−	0.0174057i
$477$	1.86888e12	+	2.56790e11i	1.65291	+	0.227114i
$478$	−9.15306e11	−	9.15306e11i	−0.801938	−	0.801938i
$479$	6.94198e11			0.602523			0.301261	−	0.953542i	$-0.402592\pi$
$479$	6.94198e11			0.602523			0.301261	+	0.953542i	$0.402592\pi$
$480$	1.64477e11	+	1.23354e11i	0.141423	+	0.106064i
$481$	−9.79456e11			−0.834319
$482$	−3.73373e11	−	3.73373e11i	−0.315088	−	0.315088i
$483$	1.60065e10	−	3.22282e10i	0.0133824	−	0.0269447i
$484$		−	2.42096e11i		−	0.200532i
$485$	2.96641e11	−	1.60721e12i	0.243441	−	1.31897i
$486$	−8.68512e11	+	4.46199e10i	−0.706175	+	0.0362798i
$487$	−2.53110e10	+	2.53110e10i	−0.0203905	+	0.0203905i	−0.717229	−	0.696838i	$-0.754590\pi$
$487$	−2.53110e10	+	2.53110e10i	−0.0203905	+	0.0203905i	0.696838	+	0.717229i	$0.254590\pi$
$488$	5.10342e11	−	5.10342e11i	0.407354	−	0.407354i
$489$	1.27717e11	+	3.79762e11i	0.101009	+	0.300346i
$490$	−1.49742e11	+	8.11304e11i	−0.117344	+	0.635772i
$491$			4.52662e11i			0.351486i	0.984436	+	0.175743i	$0.0562327\pi$
$491$			4.52662e11i			0.351486i	−0.984436	+	0.175743i	$0.943767\pi$
$492$	6.20309e11	+	3.08083e11i	0.477271	+	0.237042i
$493$	1.34926e11	+	1.34926e11i	0.102869	+	0.102869i
$494$	1.70836e12			1.29065
$495$	4.95946e11	−	1.50128e12i	0.371288	−	1.12393i
$496$	1.44420e11			0.107142
$497$	1.59835e11	+	1.59835e11i	0.117508	+	0.117508i
$498$	−2.61239e11	−	1.29747e11i	−0.190329	−	0.0945292i
$499$			3.60476e11i			0.260270i	0.991496	+	0.130135i	$0.0415410\pi$
$499$			3.60476e11i			0.260270i	−0.991496	+	0.130135i	$0.958459\pi$
$500$	−6.79098e11	+	1.64642e11i	−0.485923	+	0.117808i
$501$	4.83394e11	+	1.43736e12i	0.342793	+	1.01928i
$502$	−9.06068e11	+	9.06068e11i	−0.636787	+	0.636787i
$503$	−5.26906e11	+	5.26906e11i	−0.367009	+	0.367009i	−0.866385	−	0.499376i	$-0.833563\pi$
$503$	−5.26906e11	+	5.26906e11i	−0.367009	+	0.367009i	0.499376	+	0.866385i	$0.333563\pi$
$504$	−1.19457e11	+	9.05955e10i	−0.0824661	+	0.0625416i
$505$	−1.27811e12	−	1.85670e12i	−0.874494	−	1.27037i
$506$		−	1.26841e11i		−	0.0860163i
$507$	6.31507e11	−	1.27151e12i	0.424466	−	0.854638i
$508$	−1.57561e11	−	1.57561e11i	−0.104969	−	0.104969i
$509$	5.22135e11			0.344789			0.172394	−	0.985028i	$-0.444850\pi$
$509$	5.22135e11			0.344789			0.172394	+	0.985028i	$0.444850\pi$
$510$	−1.81695e10	−	1.27175e11i	−0.0118926	−	0.0832406i
$511$	1.48305e11			0.0962193
$512$	−4.85920e10	−	4.85920e10i	−0.0312500	−	0.0312500i
$513$	−2.01210e12	+	3.82541e11i	−1.28269	+	0.243865i
$514$		−	1.36381e11i		−	0.0861824i
$515$	−1.63361e12	−	3.01514e11i	−1.02333	−	0.188875i
$516$	1.06886e12	−	3.59467e11i	0.663741	−	0.223221i
$517$	8.44893e11	−	8.44893e11i	0.520109	−	0.520109i
$518$	1.43146e11	−	1.43146e11i	0.0873565	−	0.0873565i
$519$	2.81704e11	−	9.47392e10i	0.170427	−	0.0573161i
$520$	6.78782e11	−	4.67258e11i	0.407114	−	0.280248i
$521$			9.78434e11i			0.581784i	0.956756	+	0.290892i	$0.0939521\pi$
$521$			9.78434e11i			0.581784i	−0.956756	+	0.290892i	$0.906048\pi$
$522$	1.99755e11	−	1.45379e12i	0.117755	−	0.857010i
$523$	−8.45192e11	−	8.45192e11i	−0.493967	−	0.493967i	0.415587	−	0.909554i	$-0.363576\pi$
$523$	−8.45192e11	−	8.45192e11i	−0.493967	−	0.493967i	−0.909554	+	0.415587i	$0.863576\pi$
$524$	4.27591e11			0.247764
$525$	2.06853e10	−	5.09145e11i	0.0118835	−	0.292499i
$526$	1.67152e12			0.952085
$527$	−6.38104e10	−	6.38104e10i	−0.0360366	−	0.0360366i
$528$	−2.35075e11	+	4.73310e11i	−0.131629	+	0.265029i
$529$			1.78213e12i			0.989438i
$530$	1.76526e12	−	1.21517e12i	0.971779	−	0.668951i
$531$	−6.83839e11	−	9.01696e11i	−0.373275	−	0.492192i
$532$	−2.49674e11	+	2.49674e11i	−0.135136	+	0.135136i
$533$	1.96299e12	−	1.96299e12i	1.05353	−	1.05353i
$534$	−3.52479e11	−	1.04808e12i	−0.187585	−	0.557776i
$535$	1.54806e12	+	2.85724e11i	0.816950	+	0.150784i
$536$		−	1.11243e12i		−	0.582145i
$537$	1.48278e12	+	7.36440e11i	0.769472	+	0.382167i
$538$	−1.53322e11	−	1.53322e11i	−0.0789013	−	0.0789013i
$539$	−2.12065e12			−1.08223
$540$	−6.94841e11	+	7.02333e11i	−0.351652	+	0.355444i
$541$	−1.20491e12			−0.604736			−0.302368	−	0.953191i	$-0.597777\pi$
$541$	−1.20491e12			−0.604736			−0.302368	+	0.953191i	$0.597777\pi$
$542$	−5.89497e10	−	5.89497e10i	−0.0293417	−	0.0293417i
$543$	−2.56104e12	−	1.27197e12i	−1.26420	−	0.627881i
$544$			4.29396e10i			0.0210215i
$545$	8.08867e11	+	1.17503e12i	0.392729	+	0.570514i
$546$	1.91555e11	+	5.69582e11i	0.0922414	+	0.274277i
$547$	−1.35084e11	+	1.35084e11i	−0.0645148	+	0.0645148i	−0.738628	−	0.674113i	$-0.764526\pi$
$547$	−1.35084e11	+	1.35084e11i	−0.0645148	+	0.0645148i	0.674113	+	0.738628i	$0.264526\pi$
$548$	−4.19126e11	+	4.19126e11i	−0.198533	+	0.198533i
$549$	2.09575e12	+	2.76341e12i	0.984608	+	1.29828i
$550$	−7.33008e11	−	1.63979e12i	−0.341567	−	0.764110i
$551$		−	3.45603e12i		−	1.59733i
$552$	−3.52559e10	+	7.09858e10i	−0.0161624	+	0.0325421i
$553$	7.06602e11	+	7.06602e11i	0.321301	+	0.321301i
$554$	−3.83261e11			−0.172863
$555$	8.00396e11	−	1.06722e12i	0.358085	−	0.477460i
$556$	4.84438e11			0.214982
$557$	1.24190e12	+	1.24190e12i	0.546687	+	0.546687i	0.925481	−	0.378794i	$-0.123661\pi$
$557$	1.24190e12	+	1.24190e12i	0.546687	+	0.546687i	−0.378794	+	0.925481i	$0.623661\pi$
$558$	−9.44699e10	+	6.87541e11i	−0.0412515	+	0.300223i
$559$		−	4.52000e12i		−	1.95788i
$560$	−3.09139e10	+	1.67492e11i	−0.0132834	+	0.0719695i
$561$	3.12991e11	−	1.05261e11i	0.133413	−	0.0448679i
$562$	−1.44785e12	+	1.44785e12i	−0.612222	+	0.612222i
$563$	−1.87348e12	+	1.87348e12i	−0.785887	+	0.785887i	−0.980817	−	0.194930i	$-0.937552\pi$
$563$	−1.87348e12	+	1.87348e12i	−0.785887	+	0.785887i	0.194930	+	0.980817i	$0.437552\pi$
$564$	−7.07683e11	+	2.37999e11i	−0.294498	+	0.0990421i
$565$	−7.54142e11	+	4.08595e12i	−0.311340	+	1.68685i
$566$			2.01063e12i			0.823490i
$567$	−3.53156e11	−	6.27961e11i	−0.143497	−	0.255158i
$568$	−3.52052e11	−	3.52052e11i	−0.141919	−	0.141919i
$569$	−1.29059e12			−0.516159			−0.258080	−	0.966124i	$-0.583090\pi$
$569$	−1.29059e12			−0.516159			−0.258080	+	0.966124i	$0.583090\pi$
$570$	−1.39604e12	+	1.86144e12i	−0.553939	+	0.738605i
$571$	5.57654e11			0.219534			0.109767	−	0.993957i	$-0.464989\pi$
$571$	5.57654e11			0.219534			0.109767	+	0.993957i	$0.464989\pi$
$572$	1.49780e12	+	1.49780e12i	0.585023	+	0.585023i
$573$	8.51603e11	−	1.71466e12i	0.330021	−	0.664479i
$574$			5.73776e11i			0.220617i
$575$	−1.09935e11	−	2.45931e11i	−0.0419401	−	0.0938229i
$576$	2.63117e11	−	1.99546e11i	0.0995974	−	0.0755339i
$577$	−1.22661e12	+	1.22661e12i	−0.460699	+	0.460699i	−0.898884	−	0.438186i	$-0.855621\pi$
$577$	−1.22661e12	+	1.22661e12i	−0.460699	+	0.460699i	0.438186	+	0.898884i	$0.355621\pi$
$578$	−1.32270e12	+	1.32270e12i	−0.492930	+	0.492930i
$579$	5.92074e11	+	1.76051e12i	0.218939	+	0.651007i
$580$	−9.45271e11	−	1.37319e12i	−0.346841	−	0.503853i
$581$		−	2.41642e11i		−	0.0879791i
$582$	−2.35110e12	−	1.16770e12i	−0.849410	−	0.421869i
$583$	3.89523e12	+	3.89523e12i	1.39645	+	1.39645i
$584$	−3.26657e11			−0.116208
$585$	1.78046e12	+	3.53712e12i	0.628537	+	1.24867i
$586$	−3.69207e11			−0.129339
$587$	5.91238e11	+	5.91238e11i	0.205537	+	0.205537i	0.802368	−	0.596830i	$-0.203573\pi$
$587$	5.91238e11	+	5.91238e11i	0.205537	+	0.205537i	−0.596830	+	0.802368i	$0.703573\pi$
$588$	1.18681e12	+	5.89443e11i	0.409434	+	0.203350i
$589$			1.63445e12i			0.559569i
$590$	−1.26428e12	−	2.33347e11i	−0.429544	−	0.0792807i
$591$	−1.59422e12	−	4.74036e12i	−0.537532	−	1.59833i
$592$	−3.15294e11	+	3.15294e11i	−0.105504	+	0.105504i
$593$	1.37252e12	−	1.37252e12i	0.455798	−	0.455798i	−0.441475	−	0.897273i	$-0.645545\pi$
$593$	1.37252e12	−	1.37252e12i	0.455798	−	0.455798i	0.897273	+	0.441475i	$0.145545\pi$
$594$	−2.09951e12	−	1.42872e12i	−0.691957	−	0.470879i
$595$	8.76633e10	−	6.03455e10i	0.0286742	−	0.0197387i
$596$			2.02176e12i			0.656328i
$597$	−2.09290e12	+	4.21394e12i	−0.674316	+	1.35770i
$598$	2.24637e11	+	2.24637e11i	0.0718334	+	0.0718334i
$599$	−3.20118e12			−1.01599			−0.507994	−	0.861360i	$-0.669613\pi$
$599$	−3.20118e12			−1.01599			−0.507994	+	0.861360i	$0.669613\pi$
$600$	−4.55616e10	+	1.12144e12i	−0.0143522	+	0.353262i
$601$	6.00837e12			1.87854			0.939272	−	0.343174i	$-0.111502\pi$
$601$	6.00837e12			1.87854			0.939272	+	0.343174i	$0.111502\pi$
$602$	6.60591e11	+	6.60591e11i	0.204998	+	0.204998i
$603$	5.29594e12	+	7.27676e11i	1.63123	+	0.224135i
$604$		−	1.96741e11i		−	0.0601489i
$605$	1.08864e12	−	7.49394e11i	0.330358	−	0.227411i
$606$	−3.43165e12	+	1.15409e12i	−1.03366	+	0.347627i
$607$	9.40230e11	−	9.40230e11i	0.281116	−	0.281116i	−0.552438	−	0.833554i	$-0.686302\pi$
$607$	9.40230e11	−	9.40230e11i	0.281116	−	0.281116i	0.833554	+	0.552438i	$0.186302\pi$
$608$	5.49932e11	−	5.49932e11i	0.163209	−	0.163209i
$609$	1.15227e12	−	3.87518e11i	0.339451	−	0.114160i
$610$	3.87460e12	+	7.15132e11i	1.13303	+	0.209123i
$611$			2.99264e12i			0.868699i
$612$	−2.04422e11	−	2.80881e10i	−0.0589042	−	0.00809360i
$613$	−3.55177e12	−	3.55177e12i	−1.01595	−	1.01595i	−0.999871	−	0.0160800i	$-0.994881\pi$
$613$	−3.55177e12	−	3.55177e12i	−1.01595	−	1.01595i	−0.0160800	−	0.999871i	$-0.505119\pi$
$614$	5.21044e11			0.147951
$615$	5.34766e11	+	3.74301e12i	0.150739	+	1.05508i
$616$	−4.37804e11			−0.122509
$617$	−3.83448e12	−	3.83448e12i	−1.06518	−	1.06518i	−0.997722	−	0.0674587i	$-0.978511\pi$
$617$	−3.83448e12	−	3.83448e12i	−1.06518	−	1.06518i	−0.0674587	−	0.997722i	$-0.521489\pi$
$618$	−1.18688e12	+	2.38972e12i	−0.327310	+	0.659020i
$619$		−	6.83495e12i		−	1.87123i	−0.353022	−	0.935615i	$-0.614846\pi$
$619$		−	6.83495e12i		−	1.87123i	0.353022	−	0.935615i	$-0.385154\pi$
$620$	4.47045e11	+	6.49419e11i	0.121504	+	0.176507i
$621$	−3.14880e11	−	2.14277e11i	−0.0849635	−	0.0578179i
$622$	2.52764e12	−	2.52764e12i	0.677108	−	0.677108i
$623$	6.47749e11	−	6.47749e11i	0.172270	−	0.172270i
$624$	−4.21919e11	−	1.25456e12i	−0.111403	−	0.331254i
$625$	−2.84246e12	−	2.54408e12i	−0.745134	−	0.666915i
$626$		−	1.27160e12i		−	0.330952i
$627$	−5.35660e12	−	2.66042e12i	−1.38416	−	0.687457i
$628$	−8.99774e11	−	8.99774e11i	−0.230842	−	0.230842i
$629$	2.78618e11			0.0709710
$630$	−7.77157e11	−	2.56733e11i	−0.196551	−	0.0649307i
$631$	−5.71139e12			−1.43420			−0.717100	−	0.696970i	$-0.754531\pi$
$631$	−5.71139e12			−1.43420			−0.717100	+	0.696970i	$0.754531\pi$
$632$	−1.55636e12	−	1.55636e12i	−0.388047	−	0.388047i
$633$	−5.85511e12	−	2.90800e12i	−1.44950	−	0.719910i
$634$			2.81396e12i			0.691696i
$635$	2.20787e11	−	1.19623e12i	0.0538881	−	0.291967i
$636$	−1.09725e12	−	3.26265e12i	−0.265920	−	0.790703i
$637$	3.75571e12	−	3.75571e12i	0.903783	−	0.903783i
$638$	3.03008e12	−	3.03008e12i	0.724038	−	0.724038i
$639$	1.90630e12	−	1.44572e12i	0.452311	−	0.343029i
$640$	6.80911e10	−	3.68919e11i	0.0160428	−	0.0869202i
$641$			6.72659e12i			1.57374i	0.617117	+	0.786872i	$0.288301\pi$
$641$			6.72659e12i			1.57374i	−0.617117	+	0.786872i	$0.711699\pi$
$642$	1.12472e12	−	2.26457e12i	0.261299	−	0.526112i
$643$	3.96358e12	+	3.96358e12i	0.914403	+	0.914403i	0.996615	−	0.0822116i	$-0.0261983\pi$
$643$	3.96358e12	+	3.96358e12i	0.914403	+	0.914403i	−0.0822116	+	0.996615i	$0.526198\pi$
$644$	−6.56608e10			−0.0150425
$645$	4.92503e12	+	3.69367e12i	1.12044	+	0.840311i
$646$	−4.85962e11			−0.109788
$647$	1.30346e12	+	1.30346e12i	0.292434	+	0.292434i	0.838041	−	0.545607i	$-0.183701\pi$
$647$	1.30346e12	+	1.30346e12i	0.292434	+	0.292434i	−0.545607	+	0.838041i	$0.683701\pi$
$648$	7.77863e11	+	1.38315e12i	0.173307	+	0.308163i
$649$		−	3.30466e12i		−	0.731183i
$650$	4.20227e12	+	1.60593e12i	0.923365	+	0.352871i
$651$	−5.44942e11	+	1.83268e11i	−0.118915	+	0.0399920i
$652$	5.16962e11	−	5.16962e11i	0.112033	−	0.112033i
$653$	5.17100e12	−	5.17100e12i	1.11292	−	1.11292i	0.120171	−	0.992753i	$-0.461656\pi$
$653$	5.17100e12	−	5.17100e12i	1.11292	−	1.11292i	0.992753	−	0.120171i	$-0.0383442\pi$
$654$	2.17176e12	−	7.30380e11i	0.464207	−	0.156117i
$655$	1.32359e12	+	1.92276e12i	0.280974	+	0.408168i
$656$		−	1.26380e12i		−	0.266447i
$657$	2.13677e11	−	1.55511e12i	0.0447418	−	0.325625i
$658$	−4.37370e11	−	4.37370e11i	−0.0909563	−	0.0909563i
$659$	3.29055e11			0.0679649			0.0339825	−	0.999422i	$-0.489181\pi$
$659$	3.29055e11			0.0679649			0.0339825	+	0.999422i	$0.489181\pi$
$660$	−2.85600e12	+	4.08038e11i	−0.585883	+	0.0837054i
$661$	3.40915e11			0.0694608			0.0347304	−	0.999397i	$-0.488943\pi$
$661$	3.40915e11			0.0694608			0.0347304	+	0.999397i	$0.488943\pi$
$662$	9.83946e11	+	9.83946e11i	0.199118	+	0.199118i
$663$	−3.67893e11	+	7.40733e11i	−0.0739454	+	0.148885i
$664$			5.32241e11i			0.106256i
$665$	−1.89556e12	−	3.49863e11i	−0.375873	−	0.0693746i
$666$	−1.29477e12	−	1.70726e12i	−0.255011	−	0.336253i
$667$	4.54444e11	−	4.54444e11i	0.0889025	−	0.0889025i
$668$	1.95664e12	−	1.95664e12i	0.380204	−	0.380204i
$669$	1.40277e11	+	4.17109e11i	0.0270750	+	0.0805066i
$670$	5.00230e12	−	3.44347e12i	0.959032	−	0.660176i
$671$			1.01277e13i			1.92868i
$672$	2.45015e11	+	1.21690e11i	0.0463480	+	0.0230193i
$673$	1.86934e12	+	1.86934e12i	0.351253	+	0.351253i	0.860576	−	0.509322i	$-0.170104\pi$
$673$	1.86934e12	+	1.86934e12i	0.351253	+	0.351253i	−0.509322	+	0.860576i	$0.670104\pi$
$674$	−4.07595e12			−0.760780
$675$	−5.30904e12	−	9.50476e11i	−0.984349	−	0.176228i
$676$	−2.59053e12			−0.477121
$677$	−2.72056e12	−	2.72056e12i	−0.497747	−	0.497747i	0.412989	−	0.910736i	$-0.364485\pi$
$677$	−2.72056e12	−	2.72056e12i	−0.497747	−	0.497747i	−0.910736	+	0.412989i	$0.864485\pi$
$678$	5.97712e12	+	2.96860e12i	1.08632	+	0.539534i
$679$		−	2.17473e12i		−	0.392637i
$680$	−1.93088e11	+	1.32917e11i	−0.0346309	+	0.0238391i
$681$	3.14364e12	+	9.34750e12i	0.560106	+	1.66546i
$682$	−1.43301e12	+	1.43301e12i	−0.253641	+	0.253641i
$683$	3.34686e12	−	3.34686e12i	0.588498	−	0.588498i	−0.348727	−	0.937225i	$-0.613386\pi$
$683$	3.34686e12	−	3.34686e12i	0.588498	−	0.588498i	0.937225	+	0.348727i	$0.113386\pi$
$684$	2.25833e12	+	2.97778e12i	0.394489	+	0.520164i
$685$	−3.18208e12	−	5.87314e11i	−0.552209	−	0.101921i
$686$			2.29846e12i			0.396258i
$687$	−1.80933e12	+	3.64299e12i	−0.309894	+	0.623954i
$688$	−1.45502e12	−	1.45502e12i	−0.247583	−	0.247583i
$689$	−1.37971e13			−2.33238
$690$	−4.28337e11	+	6.11966e10i	−0.0719390	+	0.0102779i
$691$	1.64317e12			0.274177			0.137089	−	0.990559i	$-0.456226\pi$
$691$	1.64317e12			0.274177			0.137089	+	0.990559i	$0.456226\pi$
$692$	−3.83477e11	−	3.83477e11i	−0.0635714	−	0.0635714i
$693$	2.86381e11	−	2.08425e12i	0.0471678	−	0.343281i
$694$			2.27654e12i			0.372527i
$695$	1.49955e12	+	2.17839e12i	0.243798	+	0.354163i
$696$	−2.53800e12	+	8.53548e11i	−0.409968	+	0.137875i
$697$	−5.58395e11	+	5.58395e11i	−0.0896178	+	0.0896178i
$698$	2.28783e12	−	2.28783e12i	0.364816	−	0.364816i
$699$	7.58496e12	−	2.55088e12i	1.20173	−	0.404150i
$700$	−8.48859e11	+	3.79451e11i	−0.133627	+	0.0597331i
$701$		−	6.85266e12i		−	1.07184i	−0.844270	−	0.535918i	$-0.819966\pi$
$701$		−	6.85266e12i		−	1.07184i	0.844270	−	0.535918i	$-0.180034\pi$
$702$	6.24857e12	−	1.18798e12i	0.971100	−	0.184625i
$703$	−3.56829e12	−	3.56829e12i	−0.551012	−	0.551012i
$704$	9.64308e11			0.147958
$705$	−3.26081e12	−	2.44554e12i	−0.497135	−	0.372841i
$706$	−2.23861e12			−0.339124
$707$	−2.12087e12	−	2.12087e12i	−0.319247	−	0.319247i
$708$	−9.18546e11	+	1.84944e12i	−0.137389	+	0.276625i
$709$			8.51831e12i			1.26603i	0.774138	+	0.633017i	$0.218184\pi$
$709$			8.51831e12i			1.26603i	−0.774138	+	0.633017i	$0.781816\pi$
$710$	4.93324e11	−	2.67284e12i	0.0728568	−	0.394740i
$711$	8.42744e12	−	6.39130e12i	1.23675	−	0.937942i
$712$	−1.42673e12	+	1.42673e12i	−0.208057	+	0.208057i
$713$	−2.14920e11	+	2.14920e11i	−0.0311439	+	0.0311439i
$714$	−5.44900e10	−	1.62024e11i	−0.00784648	−	0.0233312i
$715$	−2.09885e12	+	1.13716e13i	−0.300333	+	1.62721i
$716$		−	3.02098e12i		−	0.429575i
$717$	−1.01655e13	−	5.04883e12i	−1.43646	−	0.713435i
$718$	5.55825e11	+	5.55825e11i	0.0780510	+	0.0780510i
$719$	−9.24346e11			−0.128989			−0.0644947	−	0.997918i	$-0.520544\pi$
$719$	−9.24346e11			−0.128989			−0.0644947	+	0.997918i	$0.520544\pi$
$720$	1.71177e12	+	5.65482e11i	0.237382	+	0.0784192i
$721$	−2.21045e12			−0.304630
$722$	2.57297e12	+	2.57297e12i	0.352385	+	0.352385i
$723$	−4.14675e12	−	2.05953e12i	−0.564398	−	0.280314i
$724$			5.21779e12i			0.705770i
$725$	3.24881e12	−	8.50125e12i	0.436720	−	1.14278i
$726$	−6.76678e11	−	2.01208e12i	−0.0903998	−	0.268801i
$727$	−3.42976e12	+	3.42976e12i	−0.455364	+	0.455364i	−0.897130	−	0.441766i	$-0.854352\pi$
$727$	−3.42976e12	+	3.42976e12i	−0.455364	+	0.455364i	0.441766	+	0.897130i	$0.354352\pi$
$728$	7.75359e11	−	7.75359e11i	0.102308	−	0.102308i
$729$	−7.09357e12	+	2.79841e12i	−0.930231	+	0.366975i
$730$	−1.01115e12	−	1.46889e12i	−0.131784	−	0.191441i
$731$			1.28577e12i			0.166546i
$732$	2.81505e12	−	5.66794e12i	0.362398	−	0.729669i
$733$	3.22441e12	+	3.22441e12i	0.412555	+	0.412555i	0.882628	−	0.470073i	$-0.155772\pi$
$733$	3.22441e12	+	3.22441e12i	0.412555	+	0.412555i	−0.470073	+	0.882628i	$0.655772\pi$
$734$	−7.60326e12			−0.966869
$735$	1.02315e12	+	7.16136e12i	0.129314	+	0.905112i
$736$	1.44625e11			0.0181674
$737$	1.10381e13	+	1.10381e13i	1.37813	+	1.37813i
$738$	6.01656e12	+	8.26692e11i	0.746612	+	0.102586i
$739$		−	8.00593e12i		−	0.987442i	−0.869620	−	0.493721i	$-0.835636\pi$
$739$		−	8.00593e12i		−	0.987442i	0.869620	−	0.493721i	$-0.164364\pi$
$740$	−2.39377e12	−	4.41815e11i	−0.293453	−	0.0541624i
$741$	1.41983e13	−	4.77500e12i	1.73003	−	0.581824i
$742$	2.01642e12	−	2.01642e12i	0.244210	−	0.244210i
$743$	−7.86725e12	+	7.86725e12i	−0.947051	+	0.947051i	−0.998667	−	0.0516158i	$-0.983563\pi$
$743$	−7.86725e12	+	7.86725e12i	−0.947051	+	0.947051i	0.0516158	+	0.998667i	$0.483563\pi$
$744$	1.20029e12	−	4.03667e11i	0.143618	−	0.0482998i
$745$	−9.09129e12	+	6.25824e12i	−1.08124	+	0.744301i
$746$		−	3.49308e12i		−	0.412938i
$747$	−2.53383e12	−	3.48156e11i	−0.297739	−	0.0409101i
$748$	−4.26068e11	−	4.26068e11i	−0.0497647	−	0.0497647i
$749$	2.09469e12			0.243193
$750$	−5.18386e12	+	3.26649e12i	−0.598243	+	0.376969i
$751$	−2.72839e12			−0.312987			−0.156493	−	0.987679i	$-0.550019\pi$
$751$	−2.72839e12			−0.312987			−0.156493	+	0.987679i	$0.550019\pi$
$752$	9.63353e11	+	9.63353e11i	0.109851	+	0.109851i
$753$	−4.99788e12	+	1.00630e13i	−0.566511	+	1.14064i
$754$			1.07327e13i			1.20931i
$755$	8.84689e11	−	6.09000e11i	0.0990899	−	0.0682112i
$756$	−7.39598e11	+	1.08684e12i	−0.0823470	+	0.121009i
$757$	5.16068e12	−	5.16068e12i	0.571183	−	0.571183i	−0.361276	−	0.932459i	$-0.617659\pi$
$757$	5.16068e12	−	5.16068e12i	0.571183	−	0.571183i	0.932459	+	0.361276i	$0.117659\pi$
$758$	−7.01898e12	+	7.01898e12i	−0.772258	+	0.772258i
$759$	−3.54530e11	−	1.05418e12i	−0.0387762	−	0.115300i
$760$	4.17518e12	+	7.70609e11i	0.453956	+	0.0837863i
$761$			2.23248e11i			0.0241300i	0.999927	+	0.0120650i	$0.00384050\pi$
$761$			2.23248e11i			0.0241300i	−0.999927	+	0.0120650i	$0.996159\pi$
$762$	−1.74990e12	−	8.69108e11i	−0.188025	−	0.0933848i
$763$	1.34222e12	+	1.34222e12i	0.143371	+	0.143371i
$764$	−3.49339e12			−0.370960
$765$	−5.06473e11	−	1.00618e12i	−0.0534662	−	0.106218i
$766$	−8.06725e12			−0.846635
$767$	5.85262e12	+	5.85262e12i	0.610620	+	0.610620i
$768$	−5.39671e11	−	2.68034e11i	−0.0559763	−	0.0278012i
$769$			6.92017e12i			0.713589i	0.934183	+	0.356795i	$0.116130\pi$
$769$			6.92017e12i			0.713589i	−0.934183	+	0.356795i	$0.883870\pi$
$770$	−1.35520e12	−	1.96868e12i	−0.138929	−	0.201822i
$771$	−3.81196e11	−	1.13347e12i	−0.0388511	−	0.115522i
$772$	2.39655e12	−	2.39655e12i	0.242833	−	0.242833i
$773$	6.62608e12	−	6.62608e12i	0.667496	−	0.667496i	−0.289640	−	0.957136i	$-0.593535\pi$
$773$	6.62608e12	−	6.62608e12i	0.667496	−	0.667496i	0.957136	+	0.289640i	$0.0935354\pi$
$774$	7.87868e12	−	5.97513e12i	0.789076	−	0.598429i
$775$	−1.53645e12	+	4.02048e12i	−0.152990	+	0.400332i
$776$			4.79007e12i			0.474202i
$777$	7.89594e11	−	1.58980e12i	0.0777158	−	0.156477i
$778$	−3.43990e12	−	3.43990e12i	−0.336618	−	0.336618i
$779$	1.43029e13			1.39157
$780$	4.33539e12	−	5.78068e12i	0.419375	−	0.559182i
$781$	6.98648e12			0.671937
$782$	−6.39006e10	−	6.39006e10i	−0.00611047	−	0.00611047i
$783$	−2.40330e12	−	1.26410e13i	−0.228496	−	1.20185i
$784$		−	2.41798e12i		−	0.228576i
$785$	1.26084e12	−	6.83124e12i	0.118507	−	0.642075i
$786$	3.55375e12	−	1.19515e12i	0.332113	−	0.111692i
$787$	−6.72458e12	+	6.72458e12i	−0.624855	+	0.624855i	−0.946769	−	0.321914i	$-0.895674\pi$
$787$	−6.72458e12	+	6.72458e12i	−0.624855	+	0.624855i	0.321914	+	0.946769i	$0.395674\pi$
$788$	−6.45295e12	+	6.45295e12i	−0.596197	+	0.596197i
$789$	1.38921e13	−	4.67204e12i	1.27621	−	0.429200i
$790$	2.18090e12	−	1.18162e13i	0.199212	−	1.07933i
$791$			5.52874e12i			0.502148i
$792$	−6.30784e11	+	4.59077e12i	−0.0569663	+	0.414593i
$793$	−1.79364e13	−	1.79364e13i	−1.61067	−	1.61067i
$794$	−4.29682e12			−0.383668
$795$	1.12747e13	−	1.50334e13i	1.00105	−	1.33477i
$796$	8.58536e12			0.757966
$797$	6.64335e12	+	6.64335e12i	0.583210	+	0.583210i	0.935784	−	0.352574i	$-0.114694\pi$
$797$	6.64335e12	+	6.64335e12i	0.583210	+	0.583210i	−0.352574	+	0.935784i	$0.614694\pi$
$798$	−1.37720e12	+	2.77292e12i	−0.120222	+	0.242061i
$799$		−	8.51292e11i		−	0.0738955i
$800$	1.86970e12	−	8.35781e11i	0.161386	−	0.0721419i
$801$	−5.85896e12	−	7.72551e12i	−0.502892	−	0.663103i
$802$	−7.68421e12	+	7.68421e12i	−0.655865	+	0.655865i
$803$	3.24126e12	−	3.24126e12i	0.275102	−	0.275102i
$804$	−3.10934e12	−	9.24551e12i	−0.262431	−	0.780331i
$805$	−2.03249e11	−	2.95258e11i	−0.0170588	−	0.0247811i
$806$		−	5.07578e12i		−	0.423638i
$807$	−1.70282e12	−	8.45725e11i	−0.141331	−	0.0701937i
$808$	4.67143e12	+	4.67143e12i	0.385566	+	0.385566i
$809$	−1.67240e13			−1.37269			−0.686344	−	0.727277i	$-0.740786\pi$
$809$	−1.67240e13			−1.37269			−0.686344	+	0.727277i	$0.740786\pi$
$810$	−3.81181e12	+	7.77930e12i	−0.311135	+	0.634977i
$811$	1.16535e12			0.0945940			0.0472970	−	0.998881i	$-0.484939\pi$
$811$	1.16535e12			0.0945940			0.0472970	+	0.998881i	$0.484939\pi$
$812$	−1.56856e12	−	1.56856e12i	−0.126619	−	0.126619i
$813$	−6.54705e11	−	3.25167e11i	−0.0525580	−	0.0261035i
$814$		−	6.25701e12i		−	0.499524i
$815$	3.92486e12	+	7.24409e11i	0.311613	+	0.0575141i
$816$	1.20020e11	+	3.56875e11i	0.00947648	+	0.0281780i
$817$	1.64670e13	−	1.64670e13i	1.29305	−	1.29305i
$818$	−9.54015e12	+	9.54015e12i	−0.745016	+	0.745016i
$819$	3.18406e12	+	4.19843e12i	0.247288	+	0.326069i
$820$	5.68297e12	−	3.91203e12i	0.438948	−	0.302162i
$821$		−	1.70125e13i		−	1.30684i	−0.756994	−	0.653422i	$-0.773333\pi$
$821$		−	1.70125e13i		−	1.30684i	0.756994	−	0.653422i	$-0.226667\pi$
$822$	−2.31190e12	+	4.65489e12i	−0.176623	+	0.355620i
$823$	−1.02429e12	−	1.02429e12i	−0.0778257	−	0.0778257i	0.667122	−	0.744948i	$-0.267526\pi$
$823$	−1.02429e12	−	1.02429e12i	−0.0778257	−	0.0778257i	−0.744948	+	0.667122i	$0.767526\pi$
$824$	4.86875e12			0.367913
$825$	−1.06754e13	−	1.15796e13i	−0.802311	−	0.870264i
$826$	−1.71070e12			−0.127869
$827$	4.47017e12	+	4.47017e12i	0.332314	+	0.332314i	0.853465	−	0.521150i	$-0.174497\pi$
$827$	4.47017e12	+	4.47017e12i	0.332314	+	0.332314i	−0.521150	+	0.853465i	$0.674497\pi$
$828$	−9.46035e10	+	6.88513e11i	−0.00699473	+	0.0509068i
$829$		−	5.78902e12i		−	0.425706i	−0.977084	−	0.212853i	$-0.931724\pi$
$829$		−	5.78902e12i		−	0.425706i	0.977084	−	0.212853i	$-0.0682756\pi$
$830$	−2.39334e12	+	1.64752e12i	−0.175046	+	0.120498i
$831$	−3.18532e12	+	1.07125e12i	−0.231712	+	0.0779266i
$832$	−1.70781e12	+	1.70781e12i	−0.123562	+	0.123562i
$833$	−1.06835e12	+	1.06835e12i	−0.0768799	+	0.0768799i
$834$	4.02621e12	−	1.35405e12i	0.288170	−	0.0969139i
$835$	1.48552e13	+	2.74181e12i	1.05752	+	0.195185i
$836$			1.09134e13i			0.772737i
$837$	1.13659e12	+	5.97826e12i	0.0800457	+	0.421028i
$838$	−1.22039e13	−	1.22039e13i	−0.854870	−	0.854870i
$839$	1.21566e13			0.847003			0.423501	−	0.905895i	$-0.360801\pi$
$839$	1.21566e13			0.847003			0.423501	+	0.905895i	$0.360801\pi$
$840$	2.11227e11	+	1.47845e12i	0.0146383	+	0.102459i
$841$	7.20518e12			0.496664
$842$	−5.63718e12	−	5.63718e12i	−0.386507	−	0.386507i
$843$	−7.98632e12	+	1.60800e13i	−0.544656	+	1.09664i
$844$			1.19290e13i			0.809216i
$845$	−8.01884e12	−	1.16489e13i	−0.541074	−	0.786013i
$846$	−5.21639e12	+	3.95607e12i	−0.350109	+	0.265520i
$847$	1.24353e12	−	1.24353e12i	0.0830196	−	0.0830196i
$848$	−4.44137e12	+	4.44137e12i	−0.294942	+	0.294942i
$849$	5.61988e12	+	1.67105e13i	0.371230	+	1.10384i
$850$	−1.19538e12	−	4.56824e11i	−0.0785456	−	0.0300168i
$851$		−	9.38411e11i		−	0.0613352i
$852$	−3.90995e12	−	1.94192e12i	−0.254211	−	0.126256i
$853$	2.01388e13	+	2.01388e13i	1.30246	+	1.30246i	0.926730	+	0.375727i	$0.122607\pi$
$853$	2.01388e13	+	2.01388e13i	1.30246	+	1.30246i	0.375727	+	0.926730i	$0.377393\pi$
$854$	5.24276e12			0.337287
$855$	−6.39975e12	+	1.93726e13i	−0.409558	+	1.23977i
$856$	−4.61377e12			−0.293714
$857$	−1.55266e13	−	1.55266e13i	−0.983249	−	0.983249i	0.0166125	−	0.999862i	$-0.494712\pi$
$857$	−1.55266e13	−	1.55266e13i	−0.983249	−	0.983249i	−0.999862	+	0.0166125i	$0.994712\pi$
$858$	1.66349e13	+	8.26190e12i	1.04792	+	0.520460i
$859$		−	1.08757e13i		−	0.681535i	−0.940148	−	0.340768i	$-0.889313\pi$
$859$		−	1.08757e13i		−	0.681535i	0.940148	−	0.340768i	$-0.110687\pi$
$860$	2.03889e12	−	1.10468e13i	0.127102	−	0.688640i
$861$	1.60375e12	+	4.76870e12i	0.0994542	+	0.295724i
$862$	−1.04669e11	+	1.04669e11i	−0.00645706	+	0.00645706i
$863$	−2.82964e12	+	2.82964e12i	−0.173653	+	0.173653i	−0.788582	−	0.614929i	$-0.789185\pi$
$863$	−2.82964e12	+	2.82964e12i	−0.173653	+	0.173653i	0.614929	+	0.788582i	$0.289185\pi$
$864$	1.62904e12	−	2.39388e12i	0.0994536	−	0.146147i
$865$	5.37359e11	−	2.91142e12i	0.0326357	−	0.176821i
$866$		−	2.71168e12i		−	0.163836i
$867$	−7.29600e12	+	1.46901e13i	−0.438530	+	0.882955i
$868$	7.41818e11	+	7.41818e11i	0.0443566	+	0.0443566i
$869$	3.08860e13			1.83727
$870$	−1.16944e13	−	8.77057e12i	−0.692056	−	0.519028i
$871$	−3.90974e13			−2.30179
$872$	−2.95637e12	−	2.95637e12i	−0.173155	−	0.173155i
$873$	−2.28040e13	−	3.13333e12i	−1.32876	−	0.182575i
$874$			1.63676e12i			0.0948822i
$875$	−4.33388e12	−	2.64251e12i	−0.249943	−	0.152399i
$876$	−2.71488e12	+	9.13035e11i	−0.155769	+	0.0523864i
$877$	−5.13535e12	+	5.13535e12i	−0.293138	+	0.293138i	−0.838319	−	0.545181i	$-0.816461\pi$
$877$	−5.13535e12	+	5.13535e12i	−0.293138	+	0.293138i	0.545181	+	0.838319i	$0.316461\pi$
$878$	1.41301e13	−	1.41301e13i	0.802451	−	0.802451i
$879$	−3.06851e12	+	1.03196e12i	−0.173372	+	0.0583062i
$880$	2.98496e12	+	4.33623e12i	0.167790	+	0.243748i
$881$			1.92773e13i			1.07809i	0.842277	+	0.539045i	$0.181215\pi$
$881$			1.92773e13i			1.07809i	−0.842277	+	0.539045i	$0.818785\pi$
$882$	1.15112e13	+	1.58168e12i	0.640492	+	0.0880053i
$883$	1.67141e13	+	1.67141e13i	0.925252	+	0.925252i	0.997394	−	0.0721421i	$-0.0229835\pi$
$883$	1.67141e13	+	1.67141e13i	0.925252	+	0.925252i	−0.0721421	+	0.997394i	$0.522983\pi$
$884$	1.50915e12			0.0831184
$885$	−1.11597e13	+	1.59440e12i	−0.611518	+	0.0873678i
$886$	2.11334e13			1.15217
$887$	1.15904e13	+	1.15904e13i	0.628699	+	0.628699i	0.947741	−	0.319041i	$-0.103361\pi$
$887$	1.15904e13	+	1.15904e13i	0.628699	+	0.628699i	−0.319041	+	0.947741i	$0.603361\pi$
$888$	−1.73916e12	+	3.50171e12i	−0.0938603	+	0.188983i
$889$		−	1.61863e12i		−	0.0869140i
$890$	−1.08320e13	−	1.99926e12i	−0.578700	−	0.106810i
$891$	−2.14426e13	−	6.00594e12i	−1.13980	−	0.319250i
$892$	5.67801e11	−	5.67801e11i	0.0300299	−	0.0300299i
$893$	−1.09026e13	+	1.09026e13i	−0.573718	+	0.573718i
$894$	5.65098e12	+	1.68030e13i	0.295873	+	0.879768i
$895$	1.35845e13	−	9.35127e12i	0.707685	−	0.487155i
$896$		−	4.99187e11i		−	0.0258748i
$897$	2.49486e12	+	1.23910e12i	0.128671	+	0.0639058i
$898$	−3.23596e12	−	3.23596e12i	−0.166058	−	0.166058i
$899$	−1.02684e13			−0.524304
$900$	2.75586e12	+	9.44777e12i	0.140012	+	0.479996i
$901$	3.92474e12			0.198403
$902$	1.25401e13	+	1.25401e13i	0.630769	+	0.630769i
$903$	7.33664e12	+	3.64382e12i	0.367200	+	0.182374i
$904$		−	1.21776e13i		−	0.606463i
$905$	−2.34630e13	+	1.61514e13i	−1.16269	+	0.800371i
$906$	−5.49907e11	−	1.63513e12i	−0.0271152	−	0.0806260i
$907$	−1.33880e13	+	1.33880e13i	−0.656874	+	0.656874i	−0.954639	−	0.297765i	$-0.903759\pi$
$907$	−1.33880e13	+	1.33880e13i	−0.656874	+	0.656874i	0.297765	+	0.954639i	$0.403759\pi$
$908$	1.27246e13	−	1.27246e13i	0.621235	−	0.621235i
$909$	−2.52950e13	+	1.91835e13i	−1.22884	+	0.931945i
$910$	5.88666e12	+	1.08650e12i	0.284566	+	0.0525221i
$911$		−	2.54468e13i		−	1.22405i	−0.790837	−	0.612027i	$-0.790355\pi$
$911$		−	2.54468e13i		−	1.22405i	0.790837	−	0.612027i	$-0.209645\pi$
$912$	3.03343e12	−	6.10764e12i	0.145197	−	0.292346i
$913$	−5.28116e12	−	5.28116e12i	−0.251542	−	0.251542i
$914$	1.03257e13			0.489397
$915$	3.42010e13	−	4.88631e12i	1.61304	−	0.230455i
$916$	7.42212e12			0.348336
$917$	2.19633e12	+	2.19633e12i	0.102574	+	0.102574i
$918$	−1.77748e12	+	3.37934e11i	−0.0826062	+	0.0157051i
$919$		−	5.81328e12i		−	0.268845i	−0.990924	−	0.134422i	$-0.957082\pi$
$919$		−	5.81328e12i		−	0.268845i	0.990924	−	0.134422i	$-0.0429179\pi$
$920$	4.47677e11	+	6.50337e11i	0.0206025	+	0.0299291i
$921$	4.33044e12	−	1.45636e12i	0.198319	−	0.0666962i
$922$	−1.32025e13	+	1.32025e13i	−0.601682	+	0.601682i
$923$	−1.23732e13	+	1.23732e13i	−0.561143	+	0.561143i
$924$	−3.63863e12	+	1.22370e12i	−0.164215	+	0.0552269i
$925$	−5.42304e12	−	1.21317e13i	−0.243560	−	0.544860i
$926$		−	1.95936e13i		−	0.875719i
$927$	−3.18480e12	+	2.31786e13i	−0.141652	+	1.03093i
$928$	3.45492e12	+	3.45492e12i	0.152923	+	0.152923i
$929$	−1.52999e13			−0.673935			−0.336968	−	0.941516i	$-0.609401\pi$
$929$	−1.52999e13			−0.673935			−0.336968	+	0.941516i	$0.609401\pi$
$930$	5.53062e12	+	4.14785e12i	0.242438	+	0.181823i
$931$	2.73651e13			1.19378
$932$	−1.03252e13	−	1.03252e13i	−0.448259	−	0.448259i
$933$	1.39425e13	−	2.80724e13i	0.602382	−	1.21286i
$934$		−	1.18904e13i		−	0.511255i
$935$	5.97041e11	−	3.23478e12i	0.0255477	−	0.138418i
$936$	−7.01322e12	−	9.24748e12i	−0.298659	−	0.393806i
$937$	1.65763e13	−	1.65763e13i	0.702520	−	0.702520i	−0.262431	−	0.964951i	$-0.584524\pi$
$937$	1.65763e13	−	1.65763e13i	0.702520	−	0.702520i	0.964951	+	0.262431i	$0.0845241\pi$
$938$	5.71402e12	−	5.71402e12i	0.241007	−	0.241007i
$939$	−3.55422e12	−	1.05684e13i	−0.149193	−	0.443622i
$940$	−1.34993e12	+	7.31394e12i	−0.0563943	+	0.305546i
$941$			1.08290e11i			0.00450231i	0.999997	+	0.00225115i	$0.000716565\pi$
$941$			1.08290e11i			0.00450231i	−0.999997	+	0.00225115i	$0.999283\pi$
$942$	−9.99305e12	−	4.96316e12i	−0.413494	−	0.205366i
$943$	1.88073e12	+	1.88073e12i	0.0774503	+	0.0774503i
$944$	3.76800e12			0.154432
$945$	−7.17661e12	+	3.84840e10i	−0.292736	+	0.00156977i
$946$	2.88749e13			1.17222
$947$	−2.87581e13	−	2.87581e13i	−1.16194	−	1.16194i	−0.984049	−	0.177895i	$-0.943071\pi$
$947$	−2.87581e13	−	2.87581e13i	−1.16194	−	1.16194i	−0.177895	−	0.984049i	$-0.556929\pi$
$948$	−1.72853e13	−	8.58491e12i	−0.695086	−	0.345222i
$949$			1.14807e13i			0.459482i
$950$	9.45881e12	+	2.11600e13i	0.376773	+	0.842868i
$951$	7.86525e12	+	2.33870e13i	0.311817	+	0.927178i
$952$	−2.20560e11	+	2.20560e11i	−0.00870283	+	0.00870283i
$953$	−1.80149e13	+	1.80149e13i	−0.707478	+	0.707478i	−0.966004	−	0.258526i	$-0.916763\pi$
$953$	−1.80149e13	+	1.80149e13i	−0.707478	+	0.707478i	0.258526	+	0.966004i	$0.416763\pi$
$954$	−1.82388e13	−	2.40493e13i	−0.712899	−	0.940013i
$955$	−1.08136e13	−	1.57088e13i	−0.420683	−	0.611123i
$956$			2.07110e13i			0.801938i
$957$	1.67139e13	−	3.36526e13i	0.644132	−	1.29693i
$958$	−7.85395e12	−	7.85395e12i	−0.301261	−	0.301261i
$959$	−4.30570e12			−0.164384
$960$	−4.65248e11	−	3.25644e12i	−0.0176793	−	0.123743i
$961$	−2.15834e13			−0.816328
$962$	1.10813e13	+	1.10813e13i	0.417159	+	0.417159i
$963$	3.01801e12	−	2.19647e13i	0.113085	−	0.823015i
$964$			8.44847e12i			0.315088i
$965$	1.81950e13	+	3.35824e12i	0.675428	+	0.124663i
$966$	−5.45712e11	+	1.83527e11i	−0.0201635	+	0.00678116i
$967$	2.53445e13	−	2.53445e13i	0.932106	−	0.932106i	−0.0657316	−	0.997837i	$-0.520938\pi$
$967$	2.53445e13	−	2.53445e13i	0.932106	−	0.932106i	0.997837	+	0.0657316i	$0.0209381\pi$
$968$	−2.73900e12	+	2.73900e12i	−0.100266	+	0.100266i
$969$	−4.03887e12	+	1.35830e12i	−0.147164	+	0.0494926i
$970$	−2.15396e13	+	1.48274e13i	−0.781205	+	0.537764i
$971$			9.30503e12i			0.335916i	0.985794	+	0.167958i	$0.0537174\pi$
$971$			9.30503e12i			0.335916i	−0.985794	+	0.167958i	$0.946283\pi$
$972$	1.03309e13	+	9.32128e12i	0.371228	+	0.334948i
$973$	2.48832e12	+	2.48832e12i	0.0890019	+	0.0890019i
$974$	5.72722e11			0.0203905
$975$	3.94141e13	+	1.60130e12i	1.39679	+	0.0567482i
$976$	−1.15477e13			−0.407354
$977$	2.36623e13	+	2.36623e13i	0.830867	+	0.830867i	0.987635	−	0.156769i	$-0.0501077\pi$
$977$	2.36623e13	+	2.36623e13i	0.830867	+	0.830867i	−0.156769	+	0.987635i	$0.550108\pi$
$978$	2.85156e12	−	5.74147e12i	0.0996685	−	0.200677i
$979$		−	2.83135e13i		−	0.985081i
$980$	1.08730e13	−	7.48472e12i	0.376558	−	0.259214i
$981$	1.60082e13	−	1.21405e13i	0.551865	−	0.418530i
$982$	5.12129e12	−	5.12129e12i	0.175743	−	0.175743i
$983$	3.59347e13	−	3.59347e13i	1.22750	−	1.22750i	0.262599	−	0.964905i	$-0.415420\pi$
$983$	3.59347e13	−	3.59347e13i	1.22750	−	1.22750i	0.964905	−	0.262599i	$-0.0845796\pi$
$984$	−3.53243e12	−	1.05036e13i	−0.120115	−	0.357157i
$985$	−4.89919e13	−	9.04239e12i	−1.65829	−	0.306070i
$986$		−	3.05303e12i		−	0.102869i
$987$	−4.85751e12	−	2.41254e12i	−0.162925	−	0.0809183i
$988$	−1.93278e13	−	1.93278e13i	−0.645323	−	0.645323i
$989$	4.33058e12			0.143934
$990$	−2.25960e13	+	1.13740e13i	−0.747607	+	0.376318i
$991$	1.69479e12			0.0558194			0.0279097	−	0.999610i	$-0.491115\pi$
$991$	1.69479e12			0.0558194			0.0279097	+	0.999610i	$0.491115\pi$
$992$	−1.63393e12	−	1.63393e12i	−0.0535711	−	0.0535711i
$993$	1.09279e13	+	5.42745e12i	0.356668	+	0.177143i
$994$		−	3.61665e12i		−	0.117508i
$995$	2.65755e13	+	3.86060e13i	0.859563	+	1.24868i
$996$	1.48766e12	+	4.42350e12i	0.0479001	+	0.142429i
$997$	−7.94441e12	+	7.94441e12i	−0.254644	+	0.254644i	−0.822872	−	0.568227i	$-0.807629\pi$
$997$	−7.94441e12	+	7.94441e12i	−0.254644	+	0.254644i	0.568227	+	0.822872i	$0.307629\pi$
$998$	4.07832e12	−	4.07832e12i	0.130135	−	0.130135i
$999$	−1.55329e13	−	1.05702e13i	−0.493410	−	0.335767i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	30.10.e.a.23.2	yes	36
3.2	odd	2	inner	30.10.e.a.23.12	yes	36
5.2	odd	4	inner	30.10.e.a.17.12	yes	36
15.2	even	4	inner	30.10.e.a.17.2	✓	36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
30.10.e.a.17.2	✓	36	15.2	even	4	inner
30.10.e.a.17.12	yes	36	5.2	odd	4	inner
30.10.e.a.23.2	yes	36	1.1	even	1	trivial
30.10.e.a.23.12	yes	36	3.2	odd	2	inner

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:	\( N \)	\(=\)	\( 30 = 2 \cdot 3 \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 10 \)
Character orbit:	\([\chi]\)	\(=\)	30.e (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-11.3137 - 11.3137i) q^{2} +(-125.652 - 62.4065i) q^{3} +256.000i q^{4} +(-1151.16 + 792.434i) q^{5} +(715.542 + 2127.64i) q^{6} +(-1314.95 + 1314.95i) q^{7} +(2896.31 - 2896.31i) q^{8} +(11893.9 + 15683.0i) q^{9} +O(q^{10})\)	\(q+(-11.3137 - 11.3137i) q^{2} +(-125.652 - 62.4065i) q^{3} +256.000i q^{4} +(-1151.16 + 792.434i) q^{5} +(715.542 + 2127.64i) q^{6} +(-1314.95 + 1314.95i) q^{7} +(2896.31 - 2896.31i) q^{8} +(11893.9 + 15683.0i) q^{9} +(21989.3 + 4058.54i) q^{10} +57477.2i q^{11} +(15976.1 - 32166.9i) q^{12} +(-101793. - 101793. i) q^{13} +29753.9 q^{14} +(194099. - 27731.0i) q^{15} -65536.0 q^{16} +(28956.3 + 28956.3i) q^{17} +(42869.2 - 311997. i) q^{18} -741693. i q^{19} +(-202863. - 294697. i) q^{20} +(247287. - 83164.6i) q^{21} +(650281. - 650281. i) q^{22} +(97527.5 - 97527.5i) q^{23} +(-544676. + 183179. i) q^{24} +(697222. - 1.82444e6i) q^{25} +2.30332e6i q^{26} +(-515768. - 2.71285e6i) q^{27} +(-336627. - 336627. i) q^{28} +4.65965e6 q^{29} +(-2.50972e6 - 1.88224e6i) q^{30} -2.20368e6 q^{31} +(741455. + 741455. i) q^{32} +(3.58695e6 - 7.22213e6i) q^{33} -655206. i q^{34} +(471709. - 2.55573e6i) q^{35} +(-4.01485e6 + 3.04483e6i) q^{36} +(4.81100e6 - 4.81100e6i) q^{37} +(-8.39130e6 + 8.39130e6i) q^{38} +(6.43797e6 + 1.91431e7i) q^{39} +(-1.03899e6 + 5.62925e6i) q^{40} +1.92841e7i q^{41} +(-3.73864e6 - 1.85683e6i) q^{42} +(2.22019e7 + 2.22019e7i) q^{43} -1.47142e7 q^{44} +(-2.61195e7 - 8.62857e6i) q^{45} -2.20680e6 q^{46} +(-1.46996e7 - 1.46996e7i) q^{47} +(8.23473e6 + 4.08987e6i) q^{48} +3.68954e7i q^{49} +(-2.85293e7 + 1.27530e7i) q^{50} +(-1.83136e6 - 5.44548e6i) q^{51} +(2.60591e7 - 2.60591e7i) q^{52} +(6.77700e7 - 6.77700e7i) q^{53} +(-2.48572e7 + 3.65277e7i) q^{54} +(-4.55469e7 - 6.61656e7i) q^{55} +7.61699e6i q^{56} +(-4.62864e7 + 9.31952e7i) q^{57} +(-5.27179e7 - 5.27179e7i) q^{58} -5.74951e7 q^{59} +(7.09913e6 + 4.96893e7i) q^{60} +1.76204e8 q^{61} +(2.49318e7 + 2.49318e7i) q^{62} +(-3.62622e7 - 4.98252e6i) q^{63} -1.67772e7i q^{64} +(1.97845e8 + 3.65161e7i) q^{65} +(-1.22291e8 + 4.11274e7i) q^{66} +(1.92043e8 - 1.92043e8i) q^{67} +(-7.41281e6 + 7.41281e6i) q^{68} +(-1.83409e7 + 6.16818e6i) q^{69} +(-3.42515e7 + 2.35780e7i) q^{70} -1.21552e8i q^{71} +(7.98711e7 + 1.09745e7i) q^{72} +(-5.63920e7 - 5.63920e7i) q^{73} -1.08861e8 q^{74} +(-2.01464e8 + 1.85733e8i) q^{75} +1.89873e8 q^{76} +(-7.55796e7 - 7.55796e7i) q^{77} +(1.43742e8 - 2.89417e8i) q^{78} -5.37361e8i q^{79} +(7.54425e7 - 5.19329e7i) q^{80} +(-1.04492e8 + 3.73063e8i) q^{81} +(2.18174e8 - 2.18174e8i) q^{82} +(-9.18826e7 + 9.18826e7i) q^{83} +(2.12901e7 + 6.33055e7i) q^{84} +(-5.62793e7 - 1.03874e7i) q^{85} -5.02371e8i q^{86} +(-5.85494e8 - 2.90792e8i) q^{87} +(1.66472e8 + 1.66472e8i) q^{88} -4.92604e8 q^{89} +(1.97887e8 + 3.93130e8i) q^{90} +2.67706e8 q^{91} +(2.49670e7 + 2.49670e7i) q^{92} +(2.76897e8 + 1.37524e8i) q^{93} +3.32614e8i q^{94} +(5.87742e8 + 8.53808e8i) q^{95} +(-4.68937e7 - 1.39437e8i) q^{96} +(-8.26926e8 + 8.26926e8i) q^{97} +(4.17424e8 - 4.17424e8i) q^{98} +(-9.01416e8 + 6.83627e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 296 q^{3} + 4544 q^{6} + 9756 q^{7}+O(q^{10}) \) 36 * q + 296 * q^3 + 4544 * q^6 + 9756 * q^7	\( 36 q + 296 q^{3} + 4544 q^{6} + 9756 q^{7} + 51264 q^{10} - 75776 q^{12} - 78120 q^{13} + 201428 q^{15} - 2359296 q^{16} - 276352 q^{18} - 1187968 q^{21} - 1065024 q^{22} - 8730936 q^{25} - 8987584 q^{27} + 2497536 q^{28} + 10183488 q^{30} - 19149912 q^{31} - 24042964 q^{33} + 7783424 q^{36} + 57972384 q^{37} - 20938752 q^{40} - 36541376 q^{42} + 129617424 q^{43} + 188714992 q^{45} - 10734336 q^{46} - 19398656 q^{48} + 61133728 q^{51} + 19998720 q^{52} - 84302028 q^{55} - 191033896 q^{57} + 129597120 q^{58} - 14761984 q^{60} - 258546456 q^{61} + 113024276 q^{63} - 177217408 q^{66} - 95099256 q^{67} - 64737216 q^{70} + 70746112 q^{72} - 744318180 q^{73} - 436271432 q^{75} + 274489344 q^{76} + 416094720 q^{78} - 2874828308 q^{81} - 1243259136 q^{82} - 93014352 q^{85} + 2750699540 q^{87} - 272646144 q^{88} - 319472512 q^{90} + 4799502000 q^{91} + 1861719848 q^{93} - 297795584 q^{96} - 2636190468 q^{97}+O(q^{100}) \) 36 * q + 296 * q^3 + 4544 * q^6 + 9756 * q^7 + 51264 * q^10 - 75776 * q^12 - 78120 * q^13 + 201428 * q^15 - 2359296 * q^16 - 276352 * q^18 - 1187968 * q^21 - 1065024 * q^22 - 8730936 * q^25 - 8987584 * q^27 + 2497536 * q^28 + 10183488 * q^30 - 19149912 * q^31 - 24042964 * q^33 + 7783424 * q^36 + 57972384 * q^37 - 20938752 * q^40 - 36541376 * q^42 + 129617424 * q^43 + 188714992 * q^45 - 10734336 * q^46 - 19398656 * q^48 + 61133728 * q^51 + 19998720 * q^52 - 84302028 * q^55 - 191033896 * q^57 + 129597120 * q^58 - 14761984 * q^60 - 258546456 * q^61 + 113024276 * q^63 - 177217408 * q^66 - 95099256 * q^67 - 64737216 * q^70 + 70746112 * q^72 - 744318180 * q^73 - 436271432 * q^75 + 274489344 * q^76 + 416094720 * q^78 - 2874828308 * q^81 - 1243259136 * q^82 - 93014352 * q^85 + 2750699540 * q^87 - 272646144 * q^88 - 319472512 * q^90 + 4799502000 * q^91 + 1861719848 * q^93 - 297795584 * q^96 - 2636190468 * q^97

Introduction

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