LMFDB - Embedded newform 144.3.w.a.29.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.w (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:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			29.5
Character	$\chi$	$=$	144.29
Dual form			144.3.w.a.5.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.88357 - 0.672432i) q^{2} +(2.93495 - 0.621365i) q^{3} +(3.09567 + 2.53315i) q^{4} +(1.03307 - 3.85549i) q^{5} +(-5.94600 - 0.803167i) q^{6} +(-11.2715 - 6.50760i) q^{7} +(-4.12754 - 6.85298i) q^{8} +(8.22781 - 3.64735i) q^{9} +O(q^{10})$	\(q+(-1.88357 - 0.672432i) q^{2} +(2.93495 - 0.621365i) q^{3} +(3.09567 + 2.53315i) q^{4} +(1.03307 - 3.85549i) q^{5} +(-5.94600 - 0.803167i) q^{6} +(-11.2715 - 6.50760i) q^{7} +(-4.12754 - 6.85298i) q^{8} +(8.22781 - 3.64735i) q^{9} +(-4.53842 + 6.56740i) q^{10} +(9.91527 - 2.65679i) q^{11} +(10.6596 + 5.51110i) q^{12} +(-3.10413 + 11.5848i) q^{13} +(16.8547 + 19.8368i) q^{14} +(0.636352 - 11.9576i) q^{15} +(3.16635 + 15.6836i) q^{16} -31.4441i q^{17} +(-17.9502 + 1.33739i) q^{18} +(-8.43842 - 8.43842i) q^{19} +(12.9646 - 9.31838i) q^{20} +(-37.1248 - 12.0957i) q^{21} +(-20.4626 - 1.66310i) q^{22} +(0.489846 + 0.848438i) q^{23} +(-16.3723 - 17.5484i) q^{24} +(7.85311 + 4.53400i) q^{25} +(13.6368 - 19.7334i) q^{26} +(21.8818 - 15.8172i) q^{27} +(-18.4081 - 48.6977i) q^{28} +(5.25776 + 19.6222i) q^{29} +(-9.23926 + 22.0950i) q^{30} +(0.00519834 + 0.00900379i) q^{31} +(4.58210 - 31.6702i) q^{32} +(27.4499 - 13.9585i) q^{33} +(-21.1440 + 59.2272i) q^{34} +(-36.7343 + 36.7343i) q^{35} +(34.7098 + 9.55126i) q^{36} +(14.4004 - 14.4004i) q^{37} +(10.2201 + 21.5686i) q^{38} +(-1.91208 + 35.9295i) q^{39} +(-30.6856 + 8.83404i) q^{40} +(13.2394 + 22.9314i) q^{41} +(61.7936 + 47.7471i) q^{42} +(0.237711 + 0.887151i) q^{43} +(37.4244 + 16.8923i) q^{44} +(-5.56235 - 35.4902i) q^{45} +(-0.352142 - 1.92748i) q^{46} +(-30.9514 - 17.8698i) q^{47} +(19.0383 + 44.0630i) q^{48} +(60.1978 + 104.266i) q^{49} +(-11.7431 - 13.8208i) q^{50} +(-19.5383 - 92.2868i) q^{51} +(-38.9553 + 27.9995i) q^{52} +(51.9761 + 51.9761i) q^{53} +(-51.8520 + 15.0788i) q^{54} -40.9728i q^{55} +(1.92709 + 104.104i) q^{56} +(-30.0096 - 19.5230i) q^{57} +(3.29126 - 40.4953i) q^{58} +(-1.19336 + 4.45369i) q^{59} +(32.2602 - 35.4047i) q^{60} +(98.6852 - 26.4426i) q^{61} +(-0.00373700 - 0.0204548i) q^{62} +(-116.475 - 12.4323i) q^{63} +(-29.9268 + 56.5720i) q^{64} +(41.4582 + 23.9359i) q^{65} +(-61.0900 + 7.83365i) q^{66} +(-19.9909 + 74.6071i) q^{67} +(79.6526 - 97.3407i) q^{68} +(1.96486 + 2.18574i) q^{69} +(93.8928 - 44.4902i) q^{70} -22.1692 q^{71} +(-58.9558 - 41.3305i) q^{72} +139.277i q^{73} +(-36.8075 + 17.4409i) q^{74} +(25.8657 + 8.42738i) q^{75} +(-4.74682 - 47.4983i) q^{76} +(-129.049 - 34.5786i) q^{77} +(27.7617 - 66.3900i) q^{78} +(-24.2871 + 42.0665i) q^{79} +(63.7388 + 3.99448i) q^{80} +(54.3937 - 60.0194i) q^{81} +(-9.51761 - 52.0955i) q^{82} +(-16.5541 - 61.7807i) q^{83} +(-84.2860 - 131.487i) q^{84} +(-121.232 - 32.4841i) q^{85} +(0.148803 - 1.83086i) q^{86} +(27.6238 + 54.3232i) q^{87} +(-59.1326 - 56.9832i) q^{88} +38.6386 q^{89} +(-13.3877 + 70.5885i) q^{90} +(110.377 - 110.377i) q^{91} +(-0.632815 + 3.86733i) q^{92} +(0.0208515 + 0.0231956i) q^{93} +(46.2830 + 54.4718i) q^{94} +(-41.2517 + 23.8167i) q^{95} +(-6.23059 - 95.7976i) q^{96} +(38.8429 - 67.2779i) q^{97} +(-43.2752 - 236.870i) q^{98} +(71.8907 - 58.0240i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

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 $

$2$	−1.88357	−	0.672432i	−0.941785	−	0.336216i
$2$	−1.88357	−	0.672432i	−0.941785	−	0.336216i
$3$	2.93495	−	0.621365i	0.978315	−	0.207122i
$3$	2.93495	−	0.621365i	0.978315	−	0.207122i
$4$	3.09567	+	2.53315i	0.773918	+	0.633286i
$5$	1.03307	−	3.85549i	0.206615	−	0.771097i	−0.782336	−	0.622856i	$-0.785972\pi$
$5$	1.03307	−	3.85549i	0.206615	−	0.771097i	0.988951	−	0.148241i	$-0.0473611\pi$
$6$	−5.94600	−	0.803167i	−0.991000	−	0.133861i
$7$	−11.2715	−	6.50760i	−1.61021	−	0.929658i	−0.989319	−	0.145763i	$-0.953436\pi$
$7$	−11.2715	−	6.50760i	−1.61021	−	0.929658i	−0.620895	−	0.783894i	$-0.713230\pi$
$8$	−4.12754	−	6.85298i	−0.515943	−	0.856623i
$9$	8.22781	−	3.64735i	0.914201	−	0.405261i
$10$	−4.53842	+	6.56740i	−0.453842	+	0.656740i
$11$	9.91527	−	2.65679i	0.901388	−	0.241526i	0.221776	−	0.975098i	$-0.428815\pi$
$11$	9.91527	−	2.65679i	0.901388	−	0.241526i	0.679612	+	0.733572i	$0.262148\pi$
$12$	10.6596	+	5.51110i	0.888303	+	0.459259i
$13$	−3.10413	+	11.5848i	−0.238780	+	0.891138i	0.737629	+	0.675206i	$0.235945\pi$
$13$	−3.10413	+	11.5848i	−0.238780	+	0.891138i	−0.976409	+	0.215931i	$0.930721\pi$
$14$	16.8547	+	19.8368i	1.20391	+	1.41692i
$15$	0.636352	−	11.9576i	0.0424234	−	0.797170i
$16$	3.16635	+	15.6836i	0.197897	+	0.980223i
$17$		−	31.4441i		−	1.84966i	−0.380386	−	0.924828i	$-0.624209\pi$
$17$		−	31.4441i		−	1.84966i	0.380386	−	0.924828i	$-0.375791\pi$
$18$	−17.9502	+	1.33739i	−0.997236	+	0.0742993i
$19$	−8.43842	−	8.43842i	−0.444127	−	0.444127i	0.449269	−	0.893396i	$-0.351684\pi$
$19$	−8.43842	−	8.43842i	−0.444127	−	0.444127i	−0.893396	+	0.449269i	$0.851684\pi$
$20$	12.9646	−	9.31838i	0.648228	−	0.465919i
$21$	−37.1248	−	12.0957i	−1.76785	−	0.575988i
$22$	−20.4626	−	1.66310i	−0.930119	−	0.0755954i
$23$	0.489846	+	0.848438i	0.0212976	+	0.0368886i	0.876478	−	0.481442i	$-0.159887\pi$
$23$	0.489846	+	0.848438i	0.0212976	+	0.0368886i	−0.855180	+	0.518331i	$0.826554\pi$
$24$	−16.3723	−	17.5484i	−0.682180	−	0.731184i
$25$	7.85311	+	4.53400i	0.314124	+	0.181360i
$26$	13.6368	−	19.7334i	0.524494	−	0.758978i
$27$	21.8818	−	15.8172i	0.810439	−	0.585824i
$28$	−18.4081	−	48.6977i	−0.657433	−	1.73920i
$29$	5.25776	+	19.6222i	0.181302	+	0.676629i	0.995392	+	0.0958899i	$0.0305697\pi$
$29$	5.25776	+	19.6222i	0.181302	+	0.676629i	−0.814090	+	0.580739i	$0.802764\pi$
$30$	−9.23926	+	22.0950i	−0.307975	+	0.736500i
$31$	0.00519834	+	0.00900379i	0.000167688	+	0.000290445i	0.866109	−	0.499855i	$-0.166613\pi$
$31$	0.00519834	+	0.00900379i	0.000167688	+	0.000290445i	−0.865942	+	0.500145i	$0.833280\pi$
$32$	4.58210	−	31.6702i	0.143191	−	0.989695i
$33$	27.4499	−	13.9585i	0.831816	−	0.422986i
$34$	−21.1440	+	59.2272i	−0.621884	+	1.74198i
$35$	−36.7343	+	36.7343i	−1.04955	+	1.04955i
$36$	34.7098	+	9.55126i	0.964162	+	0.265313i
$37$	14.4004	−	14.4004i	0.389201	−	0.389201i	−0.485202	−	0.874402i	$-0.661254\pi$
$37$	14.4004	−	14.4004i	0.389201	−	0.389201i	0.874402	+	0.485202i	$0.161254\pi$
$38$	10.2201	+	21.5686i	0.268950	+	0.567595i
$39$	−1.91208	+	35.9295i	−0.0490277	+	0.921270i
$40$	−30.6856	+	8.83404i	−0.767141	+	0.220851i
$41$	13.2394	+	22.9314i	0.322913	+	0.559302i	0.981088	−	0.193563i	$-0.0620045\pi$
$41$	13.2394	+	22.9314i	0.322913	+	0.559302i	−0.658175	+	0.752865i	$0.728671\pi$
$42$	61.7936	+	47.7471i	1.47128	+	1.13684i
$43$	0.237711	+	0.887151i	0.00552817	+	0.0206314i	0.968635	−	0.248489i	$-0.0799338\pi$
$43$	0.237711	+	0.887151i	0.00552817	+	0.0206314i	−0.963107	+	0.269120i	$0.913267\pi$
$44$	37.4244	+	16.8923i	0.850555	+	0.383915i
$45$	−5.56235	−	35.4902i	−0.123608	−	0.788671i
$46$	−0.352142	−	1.92748i	−0.00765526	−	0.0419017i
$47$	−30.9514	−	17.8698i	−0.658541	−	0.380209i	0.133180	−	0.991092i	$-0.457481\pi$
$47$	−30.9514	−	17.8698i	−0.658541	−	0.380209i	−0.791721	+	0.610883i	$0.790815\pi$
$48$	19.0383	+	44.0630i	0.396631	+	0.917978i
$49$	60.1978	+	104.266i	1.22853	+	2.12787i
$50$	−11.7431	−	13.8208i	−0.234862	−	0.276416i
$51$	−19.5383	−	92.2868i	−0.383104	−	1.80955i
$52$	−38.9553	+	27.9995i	−0.749141	+	0.538451i
$53$	51.9761	+	51.9761i	0.980681	+	0.980681i	0.999817	−	0.0191363i	$-0.00609163\pi$
$53$	51.9761	+	51.9761i	0.980681	+	0.980681i	−0.0191363	+	0.999817i	$0.506092\pi$
$54$	−51.8520	+	15.0788i	−0.960222	+	0.279237i
$55$		−	40.9728i		−	0.744960i
$56$	1.92709	+	104.104i	0.0344123	+	1.85900i
$57$	−30.0096	−	19.5230i	−0.526485	−	0.342508i
$58$	3.29126	−	40.4953i	0.0567459	−	0.698196i
$59$	−1.19336	+	4.45369i	−0.0202265	+	0.0754863i	−0.975301	−	0.220878i	$-0.929108\pi$
$59$	−1.19336	+	4.45369i	−0.0202265	+	0.0754863i	0.955075	+	0.296365i	$0.0957743\pi$
$60$	32.2602	−	35.4047i	0.537669	−	0.590078i
$61$	98.6852	−	26.4426i	1.61779	−	0.433485i	0.667439	−	0.744665i	$-0.267391\pi$
$61$	98.6852	−	26.4426i	1.61779	−	0.433485i	0.950351	+	0.311179i	$0.100724\pi$
$62$	−0.00373700	−	0.0204548i	−6.02742e−5	−	0.000329916i
$63$	−116.475	−	12.4323i	−1.84881	−	0.197337i
$64$	−29.9268	+	56.5720i	−0.467606	+	0.883937i
$65$	41.4582	+	23.9359i	0.637818	+	0.368244i
$66$	−61.0900	+	7.83365i	−0.925607	+	0.118692i
$67$	−19.9909	+	74.6071i	−0.298372	+	1.11354i	0.640131	+	0.768266i	$0.278880\pi$
$67$	−19.9909	+	74.6071i	−0.298372	+	1.11354i	−0.938502	+	0.345273i	$0.887786\pi$
$68$	79.6526	−	97.3407i	1.17136	−	1.43148i
$69$	1.96486	+	2.18574i	0.0284762	+	0.0316775i
$70$	93.8928	−	44.4902i	1.34133	−	0.635575i
$71$	−22.1692			−0.312242			−0.156121	−	0.987738i	$-0.549899\pi$
$71$	−22.1692			−0.312242			−0.156121	+	0.987738i	$0.549899\pi$
$72$	−58.9558	−	41.3305i	−0.818831	−	0.574034i
$73$			139.277i			1.90790i	0.299959	+	0.953952i	$0.403027\pi$
$73$			139.277i			1.90790i	−0.299959	+	0.953952i	$0.596973\pi$
$74$	−36.8075	+	17.4409i	−0.497399	+	0.235688i
$75$	25.8657	+	8.42738i	0.344876	+	0.112365i
$76$	−4.74682	−	47.4983i	−0.0624581	−	0.624978i
$77$	−129.049	−	34.5786i	−1.67596	−	0.449073i
$78$	27.7617	−	66.3900i	0.355919	−	0.851154i
$79$	−24.2871	+	42.0665i	−0.307432	+	0.532488i	−0.977800	−	0.209541i	$-0.932803\pi$
$79$	−24.2871	+	42.0665i	−0.307432	+	0.532488i	0.670368	+	0.742029i	$0.266136\pi$
$80$	63.7388	+	3.99448i	0.796735	+	0.0499310i
$81$	54.3937	−	60.0194i	0.671527	−	0.740980i
$82$	−9.51761	−	52.0955i	−0.116068	−	0.635311i
$83$	−16.5541	−	61.7807i	−0.199447	−	0.744346i	−0.991071	−	0.133337i	$-0.957431\pi$
$83$	−16.5541	−	61.7807i	−0.199447	−	0.744346i	0.791624	−	0.611009i	$-0.209236\pi$
$84$	−84.2860	−	131.487i	−1.00340	−	1.56532i
$85$	−121.232	−	32.4841i	−1.42626	−	0.382166i
$86$	0.148803	−	1.83086i	0.00173027	−	0.0212890i
$87$	27.6238	+	54.3232i	0.317515	+	0.624405i
$88$	−59.1326	−	56.9832i	−0.671962	−	0.647536i
$89$	38.6386			0.434141			0.217071	−	0.976156i	$-0.430350\pi$
$89$	38.6386			0.434141			0.217071	+	0.976156i	$0.430350\pi$
$90$	−13.3877	+	70.5885i	−0.148752	+	0.784317i
$91$	110.377	−	110.377i	1.21294	−	1.21294i
$92$	−0.632815	+	3.86733i	−0.00687843	+	0.0420362i
$93$	0.0208515	+	0.0231956i	0.000224210	+	0.000249415i
$94$	46.2830	+	54.4718i	0.492372	+	0.579487i
$95$	−41.2517	+	23.8167i	−0.434229	+	0.250702i
$96$	−6.23059	−	95.7976i	−0.0649019	−	0.997892i
$97$	38.8429	−	67.2779i	0.400442	−	0.693586i	−0.593337	−	0.804954i	$-0.702190\pi$
$97$	38.8429	−	67.2779i	0.400442	−	0.693586i	0.993779	+	0.111368i	$0.0355232\pi$
$98$	−43.2752	−	236.870i	−0.441583	−	2.41705i
$99$	71.8907	−	58.0240i	0.726169	−	0.586101i
$100$	12.8254	+	33.9288i	0.128254	+	0.339288i
$101$	47.7201	−	12.7866i	0.472476	−	0.126600i	−0.0147210	−	0.999892i	$-0.504686\pi$
$101$	47.7201	−	12.7866i	0.472476	−	0.126600i	0.487197	+	0.873292i	$0.338019\pi$
$102$	−25.2549	+	186.967i	−0.247597	+	1.83301i
$103$	54.4476	−	31.4354i	0.528618	−	0.305198i	−0.211836	−	0.977305i	$-0.567944\pi$
$103$	54.4476	−	31.4354i	0.528618	−	0.305198i	0.740453	+	0.672108i	$0.234611\pi$
$104$	92.2028	−	26.5441i	0.886566	−	0.255232i
$105$	−84.9876	+	130.638i	−0.809406	+	1.24418i
$106$	−62.9502	−	132.851i	−0.593870	−	1.25331i
$107$	22.0577	+	22.0577i	0.206146	+	0.206146i	0.802627	−	0.596481i	$-0.203435\pi$
$107$	22.0577	+	22.0577i	0.206146	+	0.206146i	−0.596481	+	0.802627i	$0.703435\pi$
$108$	107.806	+	6.46493i	0.998207	+	0.0598605i
$109$	−70.2106	−	70.2106i	−0.644134	−	0.644134i	0.307435	−	0.951569i	$-0.400529\pi$
$109$	−70.2106	−	70.2106i	−0.644134	−	0.644134i	−0.951569	+	0.307435i	$0.900529\pi$
$110$	−27.5514	+	77.1752i	−0.250468	+	0.701592i
$111$	33.3165	−	51.2124i	0.300149	−	0.461373i
$112$	66.3729	−	197.383i	0.592615	−	1.76234i
$113$	−140.398	+	81.0590i	−1.24246	+	0.717337i	−0.969595	−	0.244715i	$-0.921306\pi$
$113$	−140.398	+	81.0590i	−1.24246	+	0.717337i	−0.272868	+	0.962051i	$0.587972\pi$
$114$	43.3974	+	56.9523i	0.380679	+	0.499582i
$115$	3.77718	−	1.01209i	0.0328451	−	0.00880081i
$116$	−33.4297	+	74.0627i	−0.288187	+	0.638471i
$117$	16.7135	+	106.639i	0.142850	+	0.911447i
$118$	5.24259	−	7.58638i	0.0444287	−	0.0642914i
$119$	−204.626	+	354.423i	−1.71955	+	2.97834i
$120$	−84.5715	+	44.9944i	−0.704763	+	0.374953i
$121$	−13.5351	+	7.81447i	−0.111860	+	0.0645824i
$122$	−203.661	−	16.5526i	−1.66935	−	0.135677i
$123$	53.1058	+	59.0758i	0.431754	+	0.480291i
$124$	−0.00671556	+	0.0410409i	−5.41578e−5	+	0.000330975i
$125$	96.1539	−	96.1539i	0.769231	−	0.769231i
$126$	211.029	+	101.739i	1.67484	+	0.807450i
$127$	62.8249			0.494684			0.247342	−	0.968928i	$-0.420443\pi$
$127$	62.8249			0.494684			0.247342	+	0.968928i	$0.420443\pi$
$128$	94.4100	−	86.4335i	0.737578	−	0.675262i
$129$	1.24892	+	2.45604i	0.00968151	+	0.0190390i
$130$	−61.9941	−	72.9627i	−0.476878	−	0.561252i
$131$	−111.938	−	29.9937i	−0.854489	−	0.228960i	−0.195120	−	0.980779i	$-0.562510\pi$
$131$	−111.938	−	29.9937i	−0.854489	−	0.228960i	−0.659369	+	0.751820i	$0.729176\pi$
$132$	120.335	+	26.3237i	0.911628	+	0.199422i
$133$	40.1997	+	150.027i	0.302254	+	1.12803i
$134$	87.8225	−	127.085i	0.655392	−	0.948396i
$135$	−38.3776	−	100.705i	−0.284278	−	0.745967i
$136$	−215.486	+	129.787i	−1.58446	+	0.954316i
$137$	42.9034	−	74.3109i	0.313164	−	0.542415i	−0.665882	−	0.746057i	$-0.731945\pi$
$137$	42.9034	−	74.3109i	0.313164	−	0.542415i	0.979045	+	0.203642i	$0.0652778\pi$
$138$	−2.23119	−	5.43824i	−0.0161680	−	0.0394075i
$139$	−29.4548	−	7.89240i	−0.211905	−	0.0567798i	0.151305	−	0.988487i	$-0.451653\pi$
$139$	−29.4548	−	7.89240i	−0.211905	−	0.0567798i	−0.363210	+	0.931707i	$0.618319\pi$
$140$	−206.770	+	20.6639i	−1.47693	+	0.147599i
$141$	−101.944	−	33.2148i	−0.723010	−	0.235566i
$142$	41.7572	+	14.9073i	0.294065	+	0.104981i
$143$			123.113i			0.860932i
$144$	83.2555	+	117.493i	0.578163	+	0.815921i
$145$	81.0849			0.559206
$146$	93.6543	−	262.338i	0.641468	−	1.79684i
$147$	241.464	+	268.609i	1.64261	+	1.82727i
$148$	81.0574	−	8.10060i	0.547685	−	0.0547338i
$149$	24.3932	−	91.0367i	0.163713	−	0.610984i	−0.834488	−	0.551026i	$-0.814237\pi$
$149$	24.3932	−	91.0367i	0.163713	−	0.610984i	0.998201	−	0.0599584i	$-0.0190968\pi$
$150$	−43.0531	−	33.2665i	−0.287020	−	0.221777i
$151$	132.853	+	76.7026i	0.879820	+	0.507964i	0.870599	−	0.491993i	$-0.163731\pi$
$151$	132.853	+	76.7026i	0.879820	+	0.507964i	0.00922099	+	0.999957i	$0.497065\pi$
$152$	−22.9984	+	92.6583i	−0.151305	+	0.609594i
$153$	−114.688	−	258.716i	−0.749593	−	1.69096i
$154$	219.821	+	151.908i	1.42741	+	0.986416i
$155$	0.0400842	−	0.0107405i	0.000258608	−	6.92938e-5i
$156$	−96.9339	+	106.382i	−0.621371	+	0.681938i
$157$	−2.61700	+	9.76676i	−0.0166688	+	0.0622087i	−0.973759	−	0.227580i	$-0.926919\pi$
$157$	−2.61700	+	9.76676i	−0.0166688	+	0.0622087i	0.957091	+	0.289789i	$0.0935852\pi$
$158$	74.0334	−	62.9038i	0.468566	−	0.398125i
$159$	184.843	+	120.251i	1.16254	+	0.756294i
$160$	−117.371	−	50.3839i	−0.733566	−	0.314899i
$161$		−	12.7509i		−	0.0791980i
$162$	−142.813	+	76.4746i	−0.881564	+	0.472065i
$163$	−177.195	−	177.195i	−1.08708	−	1.08708i	−0.995827	−	0.0912569i	$-0.970912\pi$
$163$	−177.195	−	177.195i	−1.08708	−	1.08708i	−0.0912569	−	0.995827i	$-0.529088\pi$
$164$	−17.1036	+	104.525i	−0.104290	+	0.637350i
$165$	−25.4591	−	120.253i	−0.154298	−	0.728806i
$166$	−10.3626	+	127.500i	−0.0624250	+	0.768071i
$167$	2.69555	+	4.66883i	0.0161410	+	0.0279571i	0.873983	−	0.485956i	$-0.161529\pi$
$167$	2.69555	+	4.66883i	0.0161410	+	0.0279571i	−0.857842	+	0.513913i	$0.828195\pi$
$168$	70.3424	+	304.342i	0.418705	+	1.81156i
$169$	21.7866	+	12.5785i	0.128915	+	0.0744291i
$170$	206.506	+	142.707i	1.21474	+	0.839451i
$171$	−100.208	−	38.6519i	−0.586009	−	0.226034i
$172$	−1.51141	+	3.34849i	−0.00878725	+	0.0194679i
$173$	−64.7869	−	241.788i	−0.374491	−	1.39762i	−0.854087	−	0.520129i	$-0.825884\pi$
$173$	−64.7869	−	241.788i	−0.374491	−	1.39762i	0.479597	−	0.877489i	$-0.340783\pi$
$174$	−15.5027	−	120.897i	−0.0890962	−	0.694809i
$175$	−59.0109	−	102.210i	−0.337205	−	0.584056i
$176$	73.0631	+	147.094i	0.415131	+	0.835764i
$177$	−0.735086	+	13.8129i	−0.00415303	+	0.0780387i
$178$	−72.7784	−	25.9818i	−0.408868	−	0.145965i
$179$	145.570	−	145.570i	0.813242	−	0.813242i	−0.171876	−	0.985119i	$-0.554983\pi$
$179$	145.570	−	145.570i	0.813242	−	0.813242i	0.985119	+	0.171876i	$0.0549829\pi$
$180$	72.6826	−	123.956i	0.403792	−	0.688645i
$181$	−21.3508	+	21.3508i	−0.117960	+	0.117960i	−0.763623	−	0.645663i	$-0.776581\pi$
$181$	−21.3508	+	21.3508i	−0.117960	+	0.117960i	0.645663	+	0.763623i	$0.276581\pi$
$182$	−282.125	+	133.682i	−1.55014	+	0.734518i
$183$	273.205	−	138.927i	1.49292	−	0.759165i
$184$	3.79247	−	6.85887i	0.0206113	−	0.0372764i
$185$	−40.6439	−	70.3973i	−0.219697	−	0.380526i
$186$	−0.0236778	−	0.0577117i	−0.000127300	−	0.000310278i
$187$	−83.5404	−	311.777i	−0.446740	−	1.66726i
$188$	−50.5486	−	133.724i	−0.268875	−	0.711296i
$189$	−349.573	+	35.8857i	−1.84959	+	0.189871i
$190$	93.7156	−	17.1214i	0.493240	−	0.0901127i
$191$	16.8638	+	9.73634i	0.0882923	+	0.0509756i	0.543496	−	0.839412i	$-0.317100\pi$
$191$	16.8638	+	9.73634i	0.0882923	+	0.0509756i	−0.455204	+	0.890387i	$0.650434\pi$
$192$	−52.6816	+	184.631i	−0.274384	+	0.961620i
$193$	95.4963	+	165.404i	0.494799	+	0.857018i	0.999982	−	0.00599489i	$-0.00190824\pi$
$193$	95.4963	+	165.404i	0.494799	+	0.857018i	−0.505183	+	0.863012i	$0.668575\pi$
$194$	−118.403	+	100.603i	−0.610325	+	0.518574i
$195$	136.550	+	44.4899i	0.700259	+	0.228153i
$196$	−77.7675	+	475.262i	−0.396773	+	2.42480i
$197$	−59.8357	−	59.8357i	−0.303734	−	0.303734i	0.538739	−	0.842473i	$-0.318901\pi$
$197$	−59.8357	−	59.8357i	−0.303734	−	0.303734i	−0.842473	+	0.538739i	$0.818901\pi$
$198$	−174.428	+	60.9506i	−0.880951	+	0.307831i
$199$			3.21256i			0.0161435i	0.999967	+	0.00807176i	$0.00256935\pi$
$199$			3.21256i			0.0161435i	−0.999967	+	0.00807176i	$0.997431\pi$
$200$	−1.34265	−	72.5315i	−0.00671323	−	0.362658i
$201$	−12.3140	+	231.389i	−0.0612635	+	1.15119i
$202$	−98.4822	−	8.00414i	−0.487536	−	0.0396245i
$203$	68.4309	−	255.387i	0.337098	−	1.25807i
$204$	173.292	−	335.183i	0.849470	−	1.64305i
$205$	102.089	−	27.3546i	0.497995	−	0.133437i
$206$	−123.694	+	22.5983i	−0.600457	+	0.109701i
$207$	7.12490	+	5.19415i	0.0344198	+	0.0250925i
$208$	−191.520	−	12.0024i	−0.920767	−	0.0577040i
$209$	−106.088	−	61.2501i	−0.507599	−	0.293063i
$210$	247.926	−	188.918i	1.18060	−	0.899610i
$211$	−55.5817	+	207.434i	−0.263420	+	0.983098i	0.699790	+	0.714349i	$0.253277\pi$
$211$	−55.5817	+	207.434i	−0.263420	+	0.983098i	−0.963210	+	0.268749i	$0.913390\pi$
$212$	29.2378	+	292.564i	0.137914	+	1.38002i
$213$	−65.0654	+	13.7752i	−0.305471	+	0.0646721i
$214$	−26.7149	−	56.3795i	−0.124836	−	0.263455i
$215$	3.66597			0.0170510
$216$	−198.714	−	84.6696i	−0.919970	−	0.391989i
$217$		−	0.135315i		−	0.000623571i
$218$	85.0347	+	179.458i	0.390067	+	0.823203i
$219$	86.5419	+	408.770i	0.395169	+	1.86653i
$220$	103.790	−	126.838i	0.471773	−	0.576538i
$221$	364.274	+	97.6068i	1.64830	+	0.441660i
$222$	−97.1909	+	74.0590i	−0.437797	+	0.333599i
$223$	153.067	−	265.119i	0.686398	−	1.18888i	−0.286598	−	0.958051i	$-0.592524\pi$
$223$	153.067	−	265.119i	0.686398	−	1.18888i	0.972995	−	0.230825i	$-0.0741424\pi$
$224$	−257.744	+	327.153i	−1.15064	+	1.46050i
$225$	81.1510	+	8.66184i	0.360671	+	0.0384971i
$226$	318.957	−	58.2720i	1.41131	−	0.257841i
$227$	53.2069	+	198.571i	0.234392	+	0.874761i	0.978422	+	0.206616i	$0.0662450\pi$
$227$	53.2069	+	198.571i	0.234392	+	0.874761i	−0.744031	+	0.668146i	$0.767088\pi$
$228$	−43.4455	−	136.455i	−0.190550	−	0.598489i
$229$	−339.195	−	90.8871i	−1.48120	−	0.396887i	−0.574446	−	0.818543i	$-0.694782\pi$
$229$	−339.195	−	90.8871i	−1.48120	−	0.396887i	−0.906756	+	0.421656i	$0.861449\pi$
$230$	−7.79516	−	0.633551i	−0.0338920	−	0.00275457i
$231$	−400.238	−	21.2997i	−1.73263	−	0.0922065i
$232$	112.769	−	117.023i	0.486074	−	0.504409i
$233$	−24.7739			−0.106326			−0.0531630	−	0.998586i	$-0.516930\pi$
$233$	−24.7739			−0.106326			−0.0531630	+	0.998586i	$0.516930\pi$
$234$	40.2266	−	212.101i	0.171909	−	0.906416i
$235$	−100.872	+	100.872i	−0.429242	+	0.429242i
$236$	−14.9761	+	10.7642i	−0.0634581	+	0.0456110i
$237$	−45.1427	+	138.554i	−0.190476	+	0.584617i
$238$	623.752	−	529.983i	2.62081	−	2.22682i
$239$	256.674	−	148.191i	1.07395	−	0.620046i	0.144693	−	0.989477i	$-0.453781\pi$
$239$	256.674	−	148.191i	1.07395	−	0.620046i	0.929258	+	0.369431i	$0.120447\pi$
$240$	189.552	−	27.8815i	0.789800	−	0.116173i
$241$	−58.2744	+	100.934i	−0.241802	+	0.418814i	−0.961228	−	0.275756i	$-0.911072\pi$
$241$	−58.2744	+	100.934i	−0.241802	+	0.418814i	0.719425	+	0.694570i	$0.244405\pi$
$242$	30.7489	−	5.61769i	0.127062	−	0.0232136i
$243$	122.349	−	209.952i	0.503493	−	0.864000i
$244$	372.480	+	168.126i	1.52656	+	0.689042i
$245$	464.183	−	124.378i	1.89463	−	0.507663i
$246$	−60.3040	−	146.983i	−0.245138	−	0.597494i
$247$	123.951	−	71.5633i	0.501827	−	0.289730i
$248$	0.0402465	−	0.0727877i	0.000162284	−	0.000293499i
$249$	−86.9738	−	171.037i	−0.349292	−	0.686895i
$250$	−245.769	+	116.456i	−0.983078	+	0.465822i
$251$	−25.0848	−	25.0848i	−0.0999393	−	0.0999393i	0.655369	−	0.755309i	$-0.272513\pi$
$251$	−25.0848	−	25.0848i	−0.0999393	−	0.0999393i	−0.755309	+	0.655369i	$0.772513\pi$
$252$	−329.076	−	333.535i	−1.30586	−	1.32355i
$253$	7.11107	+	7.11107i	0.0281070	+	0.0281070i
$254$	−118.335	−	42.2455i	−0.465886	−	0.166321i
$255$	−375.995	−	20.0095i	−1.47449	−	0.0784687i
$256$	−235.948	+	99.3192i	−0.921674	+	0.387966i
$257$	−136.561	+	78.8433i	−0.531364	+	0.306783i	−0.741572	−	0.670874i	$-0.765919\pi$
$257$	−136.561	+	78.8433i	−0.531364	+	0.306783i	0.210208	+	0.977657i	$0.432586\pi$
$258$	−0.700902	−	5.46592i	−0.00271668	−	0.0211858i
$259$	−256.027	+	68.6021i	−0.988520	+	0.264873i
$260$	67.7077	+	179.117i	0.260414	+	0.688912i
$261$	114.829	+	142.271i	0.439958	+	0.545100i
$262$	190.674	+	131.766i	0.727765	+	0.502924i
$263$	−127.391	+	220.648i	−0.484378	+	0.838967i	−0.999839	−	0.0179459i	$-0.994287\pi$
$263$	−127.391	+	220.648i	−0.484378	+	0.838967i	0.515461	+	0.856913i	$0.327621\pi$
$264$	−208.958	−	130.500i	−0.791509	−	0.494316i
$265$	254.088	−	146.698i	0.958823	−	0.553577i
$266$	25.1643	−	309.619i	0.0946025	−	1.16398i
$267$	113.402	−	24.0087i	0.424727	−	0.0899201i
$268$	−250.876	+	180.319i	−0.936104	+	0.672832i
$269$	−246.563	+	246.563i	−0.916592	+	0.916592i	−0.996780	−	0.0801880i	$-0.974448\pi$
$269$	−246.563	+	246.563i	−0.916592	+	0.916592i	0.0801880	+	0.996780i	$0.474448\pi$
$270$	4.56922	+	215.492i	0.0169230	+	0.798119i
$271$	−386.322			−1.42554			−0.712770	−	0.701397i	$-0.752560\pi$
$271$	−386.322			−1.42554			−0.712770	+	0.701397i	$0.752560\pi$
$272$	493.156	−	99.5631i	1.81307	−	0.366041i
$273$	255.367	−	392.537i	0.935411	−	1.43786i
$274$	−130.781	+	111.120i	−0.477301	+	0.405548i
$275$	89.9116	+	24.0917i	0.326951	+	0.0876063i
$276$	0.545748	+	11.7436i	0.00197735	+	0.0425494i
$277$	−42.4979	−	158.604i	−0.153422	−	0.572579i	−0.999235	−	0.0390998i	$-0.987551\pi$
$277$	−42.4979	−	158.604i	−0.153422	−	0.572579i	0.845813	−	0.533479i	$-0.179116\pi$
$278$	50.1731	+	34.6723i	0.180479	+	0.124720i
$279$	0.0756109	+	0.0551213i	0.000271007	+	0.000197567i
$280$	403.361	+	100.117i	1.44058	+	0.357561i
$281$	42.3425	−	73.3394i	0.150685	−	0.260994i	−0.780794	−	0.624788i	$-0.785185\pi$
$281$	42.3425	−	73.3394i	0.150685	−	0.260994i	0.931480	+	0.363794i	$0.118519\pi$
$282$	169.685	+	131.113i	0.601719	+	0.464940i
$283$	101.386	+	27.1664i	0.358255	+	0.0959942i	0.433457	−	0.901174i	$-0.357293\pi$
$283$	101.386	+	27.1664i	0.358255	+	0.0959942i	−0.0752020	+	0.997168i	$0.523960\pi$
$284$	−68.6285	−	56.1578i	−0.241650	−	0.197739i
$285$	−106.273	+	95.5331i	−0.372887	+	0.335204i
$286$	82.7853	−	231.893i	0.289459	−	0.810813i
$287$		−	344.628i		−	1.20079i
$288$	−77.8117	−	277.289i	−0.270180	−	0.962810i
$289$	−699.734			−2.42122
$290$	−152.729	−	54.5241i	−0.526652	−	0.188014i
$291$	72.1976	−	221.592i	0.248102	−	0.761486i
$292$	−352.809	+	431.156i	−1.20825	+	1.47656i
$293$	5.05197	−	18.8542i	0.0172422	−	0.0643488i	−0.956769	−	0.290850i	$-0.906062\pi$
$293$	5.05197	−	18.8542i	0.0172422	−	0.0643488i	0.974011	+	0.226501i	$0.0727287\pi$
$294$	−274.193	−	668.312i	−0.932631	−	2.27317i
$295$	15.9383	+	9.20199i	0.0540282	+	0.0311932i
$296$	−158.124	−	39.2475i	−0.534204	−	0.132593i
$297$	174.941	−	214.968i	0.589028	−	0.723797i
$298$	−107.162	+	155.071i	−0.359605	+	0.520373i
$299$	−11.3495	+	3.04109i	−0.0379582	+	0.0101709i
$300$	58.7240	+	91.6100i	0.195747	+	0.305367i
$301$	3.09386	−	11.5465i	0.0102786	−	0.0383603i
$302$	−198.660	−	233.809i	−0.657815	−	0.774203i
$303$	132.111	−	67.1795i	0.436009	−	0.221714i
$304$	105.626	−	159.063i	0.347452	−	0.523235i
$305$		−	407.796i		−	1.33704i
$306$	42.0530	+	564.430i	0.137428	+	1.84454i
$307$	196.817	+	196.817i	0.641097	+	0.641097i	0.950825	−	0.309728i	$-0.100238\pi$
$307$	196.817	+	196.817i	0.641097	+	0.641097i	−0.309728	+	0.950825i	$0.600238\pi$
$308$	−311.901	−	433.945i	−1.01267	−	1.40891i
$309$	140.268	−	126.093i	0.453942	−	0.408068i
$310$	−0.0827238	−	0.00672337i	−0.000266851	−	2.16883e-5i
$311$	112.262	+	194.444i	0.360971	+	0.625221i	0.988121	−	0.153678i	$-0.0491119\pi$
$311$	112.262	+	194.444i	0.360971	+	0.625221i	−0.627150	+	0.778899i	$0.715779\pi$
$312$	254.117	−	135.197i	0.814476	−	0.433324i
$313$	141.527	+	81.7105i	0.452162	+	0.261056i	0.708743	−	0.705467i	$-0.249263\pi$
$313$	141.527	+	81.7105i	0.452162	+	0.261056i	−0.256581	+	0.966523i	$0.582596\pi$
$314$	11.4968	−	16.6366i	0.0366139	−	0.0529829i
$315$	−168.260	+	436.225i	−0.534159	+	1.38484i
$316$	−181.746	+	68.7013i	−0.575144	+	0.217409i
$317$	142.441	+	531.599i	0.449342	+	1.67697i	0.704211	+	0.709991i	$0.251301\pi$
$317$	142.441	+	531.599i	0.449342	+	1.67697i	−0.254869	+	0.966976i	$0.582032\pi$
$318$	−267.304	−	350.795i	−0.840580	−	1.10313i
$319$	104.264	+	180.591i	0.326847	+	0.566116i
$320$	187.196	+	173.825i	0.584987	+	0.543204i
$321$	78.4439	+	51.0322i	0.244374	+	0.158979i
$322$	−8.57410	+	24.0172i	−0.0266276	+	0.0745875i
$323$	−265.339	+	265.339i	−0.821482	+	0.821482i
$324$	320.423	−	48.0129i	0.988959	−	0.148188i
$325$	−76.9025	+	76.9025i	−0.236623	+	0.236623i
$326$	214.607	+	452.910i	0.658304	+	1.38929i
$327$	−249.691	−	162.438i	−0.763580	−	0.496752i
$328$	102.502	−	185.380i	0.312506	−	0.565183i
$329$	232.579	+	402.839i	0.706928	+	1.22444i
$330$	−32.9080	+	243.624i	−0.0997212	+	0.738256i
$331$	116.213	+	433.714i	0.351097	+	1.31031i	0.885325	+	0.464972i	$0.153936\pi$
$331$	116.213	+	433.714i	0.351097	+	1.31031i	−0.534228	+	0.845341i	$0.679398\pi$
$332$	105.254	−	233.187i	0.317029	−	0.702370i
$333$	65.9606	−	171.007i	0.198080	−	0.513536i
$334$	−1.93779	−	10.6066i	−0.00580176	−	0.0317564i
$335$	266.994	+	154.149i	0.796998	+	0.460147i
$336$	72.1542	−	620.549i	0.214745	−	1.84687i
$337$	95.4576	+	165.337i	0.283257	+	0.490615i	0.972185	−	0.234214i	$-0.0752518\pi$
$337$	95.4576	+	165.337i	0.283257	+	0.490615i	−0.688928	+	0.724830i	$0.741918\pi$
$338$	−32.5784	−	38.3425i	−0.0963859	−	0.113439i
$339$	−361.694	+	325.143i	−1.06694	+	0.959122i
$340$	−293.009	−	407.659i	−0.861790	−	1.19900i
$341$	0.0754641	+	0.0754641i	0.000221302	+	0.000221302i
$342$	162.757	+	140.186i	0.475898	+	0.409901i
$343$		−	929.228i		−	2.70912i
$344$	5.09847	−	5.29079i	0.0148211	−	0.0153802i
$345$	10.4570	−	5.31745i	0.0303100	−	0.0154129i
$346$	−40.5554	+	498.989i	−0.117212	+	1.44217i
$347$	33.0054	−	123.178i	0.0951165	−	0.354980i	−0.901921	−	0.431902i	$-0.857843\pi$
$347$	33.0054	−	123.178i	0.0951165	−	0.354980i	0.997037	+	0.0769222i	$0.0245093\pi$
$348$	−52.0943	+	238.142i	−0.149696	+	0.684316i
$349$	139.684	−	37.4282i	0.400241	−	0.107244i	−0.0530831	−	0.998590i	$-0.516905\pi$
$349$	139.684	−	37.4282i	0.400241	−	0.107244i	0.453324	+	0.891346i	$0.350238\pi$
$350$	42.4219	+	232.200i	0.121206	+	0.663429i
$351$	115.315	+	302.595i	0.328533	+	0.862095i
$352$	−38.7084	−	326.193i	−0.109967	−	0.926684i
$353$	−345.333	−	199.378i	−0.978279	−	0.564810i	−0.0765289	−	0.997067i	$-0.524384\pi$
$353$	−345.333	−	199.378i	−0.978279	−	0.564810i	−0.901750	+	0.432258i	$0.857717\pi$
$354$	10.6728	−	25.5232i	0.0301491	−	0.0720994i
$355$	−22.9024	+	85.4730i	−0.0645138	+	0.240769i
$356$	119.612	+	97.8771i	0.335990	+	0.274936i
$357$	−380.340	+	1167.36i	−1.06538	+	3.26991i
$358$	−372.078	+	176.306i	−1.03932	+	0.492474i
$359$	442.419			1.23237			0.616183	−	0.787603i	$-0.288678\pi$
$359$	442.419			1.23237			0.616183	+	0.787603i	$0.288678\pi$
$360$	−220.255	+	184.606i	−0.611819	+	0.512794i
$361$		−	218.586i		−	0.605502i
$362$	54.5726	−	25.8587i	0.150753	−	0.0714329i
$363$	−34.8690	+	31.3453i	−0.0960579	+	0.0863506i
$364$	621.294	−	62.0900i	1.70685	−	0.170577i
$365$	536.980	+	143.883i	1.47118	+	0.394201i
$366$	−608.020	+	77.9672i	−1.66126	+	0.213025i
$367$	−170.581	+	295.456i	−0.464799	+	0.805056i	−0.999192	−	0.0401801i	$-0.987207\pi$
$367$	−170.581	+	295.456i	−0.464799	+	0.805056i	0.534393	+	0.845236i	$0.320540\pi$
$368$	−11.7555	+	10.3690i	−0.0319443	+	0.0281766i
$369$	192.570	+	140.386i	0.521871	+	0.380450i
$370$	29.2182	+	159.929i	0.0789682	+	0.432239i
$371$	−247.609	−	924.088i	−0.667409	−	2.49080i
$372$	0.00579159	+	0.124626i	1.55688e−5	+	0.000335015i
$373$	−146.401	−	39.2280i	−0.392495	−	0.105169i	0.0571733	−	0.998364i	$-0.481791\pi$
$373$	−146.401	−	39.2280i	−0.392495	−	0.105169i	−0.449669	+	0.893195i	$0.648458\pi$
$374$	−52.2947	+	643.429i	−0.139825	+	1.72040i
$375$	222.460	−	341.953i	0.593226	−	0.911875i
$376$	5.29177	+	285.868i	0.0140739	+	0.760288i
$377$	−243.640			−0.646261
$378$	682.577	+	167.471i	1.80576	+	0.443046i
$379$	−297.857	+	297.857i	−0.785903	+	0.785903i	−0.980820	−	0.194916i	$-0.937556\pi$
$379$	−297.857	+	297.857i	−0.785903	+	0.785903i	0.194916	+	0.980820i	$0.437556\pi$
$380$	−188.033	−	30.7680i	−0.494823	−	0.0809684i
$381$	184.388	−	39.0372i	0.483957	−	0.102460i
$382$	−25.2172	−	29.6789i	−0.0660136	−	0.0776933i
$383$	30.0600	−	17.3551i	0.0784855	−	0.0453136i	−0.460244	−	0.887793i	$-0.652238\pi$
$383$	30.0600	−	17.3551i	0.0784855	−	0.0453136i	0.538729	+	0.842479i	$0.318905\pi$
$384$	223.381	−	312.341i	0.581722	−	0.813387i
$385$	−266.635	+	461.825i	−0.692558	+	1.19955i
$386$	−68.6507	−	375.765i	−0.177851	−	0.973486i
$387$	5.19159	+	6.43230i	0.0134150	+	0.0166209i
$388$	290.669	−	109.875i	0.749148	−	0.283184i
$389$	417.137	−	111.771i	1.07233	−	0.287330i	0.320881	−	0.947120i	$-0.396021\pi$
$389$	417.137	−	111.771i	1.07233	−	0.287330i	0.751451	+	0.659789i	$0.229355\pi$
$390$	−227.286	−	175.621i	−0.582784	−	0.450309i
$391$	26.6784	−	15.4028i	0.0682312	−	0.0393933i
$392$	466.062	−	842.895i	1.18893	−	2.15024i
$393$	−347.169	−	18.4755i	−0.883382	−	0.0470114i
$394$	72.4693	+	152.940i	0.183932	+	0.388173i
$395$	137.096	+	137.096i	0.347080	+	0.347080i
$396$	369.533	+	2.48659i	0.933164	+	0.00627926i
$397$	127.964	+	127.964i	0.322328	+	0.322328i	0.849660	−	0.527331i	$-0.176807\pi$
$397$	127.964	+	127.964i	0.322328	+	0.322328i	−0.527331	+	0.849660i	$0.676807\pi$
$398$	2.16023	−	6.05109i	0.00542771	−	0.0152037i
$399$	211.206	+	415.344i	0.529338	+	1.04096i
$400$	−46.2436	+	137.521i	−0.115609	+	0.343803i
$401$	−222.441	+	128.427i	−0.554717	+	0.320266i	−0.751022	−	0.660277i	$-0.770439\pi$
$401$	−222.441	+	128.427i	−0.554717	+	0.320266i	0.196306	+	0.980543i	$0.437106\pi$
$402$	178.788	−	427.558i	0.444746	−	1.06358i
$403$	−0.120443	+	0.0322727i	−0.000298867	+	8.00811e-5i
$404$	180.116	+	81.2990i	0.445831	+	0.201235i
$405$	−175.211	−	271.719i	−0.432620	−	0.670910i
$406$	−300.625	+	435.025i	−0.740456	+	1.07149i
$407$	104.525	−	181.043i	0.256819	−	0.444823i
$408$	−551.795	+	514.813i	−1.35244	+	1.26180i
$409$	−396.564	+	228.956i	−0.969594	+	0.559795i	−0.899112	−	0.437718i	$-0.855787\pi$
$409$	−396.564	+	228.956i	−0.969594	+	0.559795i	−0.0704814	+	0.997513i	$0.522454\pi$
$410$	−210.686	−	17.1235i	−0.513868	−	0.0417646i
$411$	79.7450	−	244.757i	0.194027	−	0.595516i
$412$	248.182	+	40.6103i	0.602384	+	0.0985686i
$413$	42.4339	−	42.4339i	0.102745	−	0.102745i
$414$	−9.92754	−	14.5745i	−0.0239796	−	0.0352042i
$415$	−255.296			−0.615172
$416$	352.670	+	151.391i	0.847764	+	0.363921i
$417$	−91.3524	−	4.86155i	−0.219070	−	0.0116584i
$418$	158.638	+	186.706i	0.379517	+	0.446665i
$419$	−99.1914	−	26.5783i	−0.236734	−	0.0634326i	0.138502	−	0.990362i	$-0.455771\pi$
$419$	−99.1914	−	26.5783i	−0.236734	−	0.0634326i	−0.375235	+	0.926930i	$0.622438\pi$
$420$	−594.020	+	189.127i	−1.41433	+	0.450303i
$421$	−94.7342	−	353.553i	−0.225022	−	0.839793i	−0.982396	−	0.186812i	$-0.940185\pi$
$421$	−94.7342	−	353.553i	−0.225022	−	0.839793i	0.757374	−	0.652982i	$-0.226482\pi$
$422$	244.177	−	353.341i	0.578619	−	0.837301i
$423$	−319.840	−	34.1389i	−0.756123	−	0.0807066i
$424$	141.658	−	570.725i	0.334099	−	1.34605i
$425$	142.568	−	246.934i	0.335453	−	0.581022i
$426$	131.818	+	17.8056i	0.309432	+	0.0417971i
$427$	−1284.41	−	344.156i	−3.00798	−	0.805986i
$428$	12.4080	+	124.159i	0.0289906	+	0.290090i
$429$	76.4983	+	361.331i	0.178318	+	0.842263i
$430$	−6.90511	−	2.46512i	−0.0160584	−	0.00573283i
$431$			768.661i			1.78344i	0.452592	+	0.891718i	$0.350499\pi$
$431$			768.661i			1.78344i	−0.452592	+	0.891718i	$0.649501\pi$
$432$	317.356	+	293.102i	0.734621	+	0.678478i
$433$	639.351			1.47656			0.738281	−	0.674494i	$-0.235638\pi$
$433$	639.351			1.47656			0.738281	+	0.674494i	$0.235638\pi$
$434$	−0.0909901	+	0.254875i	−0.000209655	+	0.000587270i
$435$	237.980	−	50.3833i	0.547080	−	0.115824i
$436$	−39.4952	−	395.202i	−0.0905853	−	0.906427i
$437$	3.02595	−	11.2930i	0.00692437	−	0.0258421i
$438$	111.863	−	828.141i	0.255394	−	1.89073i
$439$	715.329	+	412.995i	1.62945	+	0.940763i	0.984257	+	0.176744i	$0.0565564\pi$
$439$	715.329	+	412.995i	1.62945	+	0.940763i	0.645193	+	0.764020i	$0.276777\pi$
$440$	−280.786	+	169.117i	−0.638150	+	0.384357i
$441$	875.589	+	638.316i	1.98546	+	1.44743i
$442$	−620.501	−	428.799i	−1.40385	−	0.970133i
$443$	−667.043	+	178.734i	−1.50574	+	0.403462i	−0.915018	−	0.403413i	$-0.867824\pi$
$443$	−667.043	+	178.734i	−1.50574	+	0.403462i	−0.590722	+	0.806875i	$0.701157\pi$
$444$	232.866	−	74.1410i	0.524472	−	0.166984i
$445$	39.9165	−	148.970i	0.0897000	−	0.334765i
$446$	−466.586	+	396.444i	−1.04616	+	0.888887i
$447$	15.0257	−	282.345i	0.0336145	−	0.631644i
$448$	705.468	−	442.899i	1.57470	−	0.988614i
$449$		−	521.360i		−	1.16116i	−0.814204	−	0.580579i	$-0.802826\pi$
$449$		−	521.360i		−	1.16116i	0.814204	−	0.580579i	$-0.197174\pi$
$450$	−147.029	−	70.8837i	−0.326731	−	0.157519i
$451$	192.196	+	192.196i	0.426156	+	0.426156i
$452$	−639.961	−	104.717i	−1.41584	−	0.231676i
$453$	437.576	+	142.568i	0.965952	+	0.314719i
$454$	33.3065	−	409.800i	0.0733623	−	0.902643i
$455$	−311.531	−	539.587i	−0.684682	−	1.18590i
$456$	−9.92447	+	286.237i	−0.0217642	+	0.627714i
$457$	−84.6854	−	48.8932i	−0.185307	−	0.106987i	0.404477	−	0.914548i	$-0.367454\pi$
$457$	−84.6854	−	48.8932i	−0.185307	−	0.106987i	−0.589784	+	0.807561i	$0.700787\pi$
$458$	577.782	+	399.278i	1.26153	+	0.871786i
$459$	−497.360	−	688.056i	−1.08357	−	1.49903i
$460$	14.2567	+	6.43505i	0.0309928	+	0.0139892i
$461$	74.8169	+	279.220i	0.162293	+	0.605684i	0.998370	+	0.0570726i	$0.0181767\pi$
$461$	74.8169	+	279.220i	0.162293	+	0.605684i	−0.836078	+	0.548611i	$0.815157\pi$
$462$	739.554	+	309.253i	1.60077	+	0.669378i
$463$	328.603	+	569.156i	0.709725	+	1.22928i	0.964959	+	0.262400i	$0.0845140\pi$
$463$	328.603	+	569.156i	0.709725	+	1.22928i	−0.255235	+	0.966879i	$0.582153\pi$
$464$	−291.099	+	144.591i	−0.627368	+	0.311619i
$465$	0.110971	−	0.0564299i	0.000238648	−	0.000121355i
$466$	46.6634	+	16.6588i	0.100136	+	0.0357485i
$467$	129.997	−	129.997i	0.278366	−	0.278366i	−0.554091	−	0.832456i	$-0.686934\pi$
$467$	129.997	−	129.997i	0.278366	−	0.278366i	0.832456	+	0.554091i	$0.186934\pi$
$468$	−218.393	+	372.458i	−0.466652	+	0.795850i
$469$	710.841	−	710.841i	1.51565	−	1.51565i
$470$	257.829	−	122.170i	0.548572	−	0.259936i
$471$	−1.61201	+	30.2910i	−0.00342253	+	0.0643121i
$472$	35.4467	−	10.2047i	0.0750990	−	0.0216201i
$473$	4.71395	+	8.16479i	0.00996606	+	0.0172617i
$474$	178.198	−	230.621i	0.375944	−	0.486542i
$475$	−28.0081	−	104.528i	−0.0589644	−	0.220058i
$476$	−1531.26	+	578.828i	−3.21693	+	1.21603i
$477$	617.224	+	238.075i	1.29397	+	0.499108i
$478$	−583.112	+	106.532i	−1.21990	+	0.222870i
$479$	−520.692	−	300.622i	−1.08704	−	0.627603i	−0.154253	−	0.988031i	$-0.549297\pi$
$479$	−520.692	−	300.622i	−1.08704	−	0.627603i	−0.932787	+	0.360429i	$0.882630\pi$
$480$	−375.783	−	74.9441i	−0.782881	−	0.156134i
$481$	122.125	+	211.527i	0.253898	+	0.439765i
$482$	177.635	−	150.931i	0.368538	−	0.313135i
$483$	−7.92296	−	37.4231i	−0.0164036	−	0.0774806i
$484$	−61.6953	−	10.0953i	−0.127470	−	0.0208580i
$485$	−219.261	−	219.261i	−0.452085	−	0.452085i
$486$	−371.631	+	313.188i	−0.764672	+	0.644420i
$487$			251.573i			0.516578i	0.966068	+	0.258289i	$0.0831586\pi$
$487$			251.573i			0.516578i	−0.966068	+	0.258289i	$0.916841\pi$
$488$	−588.538	−	567.145i	−1.20602	−	1.16218i
$489$	−630.160	−	409.954i	−1.28867	−	0.838352i
$490$	−957.957	−	77.8580i	−1.95501	−	0.158894i
$491$	19.7247	−	73.6136i	0.0401725	−	0.149926i	−0.942926	−	0.333001i	$-0.891939\pi$
$491$	19.7247	−	73.6136i	0.0401725	−	0.149926i	0.983099	+	0.183076i	$0.0586053\pi$
$492$	14.7504	+	317.404i	0.0299804	+	0.645130i
$493$	617.004	−	165.326i	1.25153	−	0.335347i
$494$	−281.592	+	51.4457i	−0.570025	+	0.104141i
$495$	−149.442	−	337.117i	−0.301903	−	0.681044i
$496$	−0.124752	+	0.110038i	−0.000251516	+	0.000221850i
$497$	249.880	+	144.268i	0.502777	+	0.290278i
$498$	48.8105	+	380.644i	0.0980130	+	0.764345i
$499$	152.067	−	567.522i	0.304744	−	1.13732i	−0.628422	−	0.777873i	$-0.716299\pi$
$499$	152.067	−	567.522i	0.304744	−	1.13732i	0.933166	−	0.359446i	$-0.117034\pi$
$500$	541.232	−	54.0889i	1.08246	−	0.108178i
$501$	10.8123	+	12.0278i	0.0215815	+	0.0240077i
$502$	30.3811	+	64.1167i	0.0605201	+	0.127723i
$503$	−587.693			−1.16838			−0.584188	−	0.811619i	$-0.698587\pi$
$503$	−587.693			−1.16838			−0.584188	+	0.811619i	$0.698587\pi$
$504$	395.558	+	849.518i	0.784838	+	1.68555i
$505$		−	197.194i		−	0.390482i
$506$	−8.61248	−	18.1759i	−0.0170207	−	0.0359208i
$507$	71.7584	+	23.3798i	0.141535	+	0.0461140i
$508$	194.485	+	159.145i	0.382845	+	0.313277i
$509$	−563.237	−	150.919i	−1.10656	−	0.296501i	−0.341125	−	0.940018i	$-0.610808\pi$
$509$	−563.237	−	150.919i	−1.10656	−	0.296501i	−0.765432	+	0.643517i	$0.777474\pi$
$510$	694.758	+	290.520i	1.36227	+	0.569648i
$511$	906.360	−	1569.86i	1.77370	−	3.07213i
$512$	511.211	−	28.4154i	0.998459	−	0.0554988i
$513$	−318.121	−	51.1756i	−0.620118	−	0.0997576i
$514$	310.238	−	56.6791i	0.603576	−	0.110271i
$515$	−64.9501	−	242.397i	−0.126117	−	0.470674i
$516$	−2.35526	+	10.7668i	−0.00456447	+	0.0208658i
$517$	−354.368	−	94.9527i	−0.685432	−	0.183661i
$518$	528.374	+	42.9436i	1.02003	+	0.0829028i
$519$	−340.385	−	669.378i	−0.655847	−	1.28975i
$520$	−7.08810	−	382.909i	−0.0136310	−	0.736363i
$521$	−863.519			−1.65743			−0.828713	−	0.559674i	$-0.810926\pi$
$521$	−863.519			−1.65743			−0.828713	+	0.559674i	$0.810926\pi$
$522$	−120.621	−	345.192i	−0.231074	−	0.661288i
$523$	289.128	−	289.128i	0.552826	−	0.552826i	−0.374430	−	0.927255i	$-0.622161\pi$
$523$	289.128	−	289.128i	0.552826	−	0.552826i	0.927255	+	0.374430i	$0.122161\pi$
$524$	−270.545	−	376.406i	−0.516307	−	0.718332i
$525$	−236.703	−	263.313i	−0.450864	−	0.501549i
$526$	388.322	−	329.945i	0.738254	−	0.627271i
$527$	0.283116	−	0.163457i	0.000537223	−	0.000310166i
$528$	305.836	+	386.315i	0.579234	+	0.731658i
$529$	264.020	−	457.296i	0.499093	−	0.864454i
$530$	−577.237	+	105.459i	−1.08913	+	0.198979i
$531$	6.42539	+	40.9967i	0.0121006	+	0.0772067i
$532$	−255.596	+	566.267i	−0.480444	+	1.06441i
$533$	−306.752	+	82.1940i	−0.575520	+	0.154210i
$534$	−229.745	−	31.0332i	−0.430234	−	0.0581146i
$535$	107.830	−	62.2558i	0.201552	−	0.116366i
$536$	593.794	−	170.947i	1.10783	−	0.318930i
$537$	336.789	−	517.693i	0.627167	−	0.964047i
$538$	630.216	−	298.622i	1.17141	−	0.555059i
$539$	873.889	+	873.889i	1.62131	+	1.62131i
$540$	136.297	−	408.967i	0.252403	−	0.757346i
$541$	−418.596	−	418.596i	−0.773745	−	0.773745i	0.205014	−	0.978759i	$-0.434276\pi$
$541$	−418.596	−	418.596i	−0.773745	−	0.773745i	−0.978759	+	0.205014i	$0.934276\pi$
$542$	727.664	+	259.775i	1.34255	+	0.479290i
$543$	−49.3967	+	75.9299i	−0.0909699	+	0.139834i
$544$	−995.844	−	144.080i	−1.83059	−	0.264853i
$545$	−343.228	+	198.163i	−0.629777	+	0.363602i
$546$	−744.956	+	567.653i	−1.36439	+	1.03966i
$547$	−1020.31	+	273.392i	−1.86529	+	0.499802i	−0.999999	−	0.00147058i	$-0.999532\pi$
$547$	−1020.31	+	273.392i	−1.86529	+	0.499802i	−0.865289	+	0.501273i	$0.832865\pi$
$548$	321.055	−	121.361i	0.585867	−	0.221462i
$549$	715.518	−	577.504i	1.30331	−	1.05192i
$550$	−153.155	−	105.838i	−0.278463	−	0.192433i
$551$	121.213	−	209.948i	0.219988	−	0.381031i
$552$	6.86883	−	22.4869i	0.0124435	−	0.0407372i
$553$	547.505	−	316.102i	0.990062	−	0.571613i
$554$	−26.6029	+	327.319i	−0.0480196	+	0.590829i
$555$	−163.030	−	181.358i	−0.293748	−	0.326771i
$556$	−71.1898	−	99.0456i	−0.128039	−	0.178140i
$557$	−373.884	+	373.884i	−0.671246	+	0.671246i	−0.958003	−	0.286757i	$-0.907423\pi$
$557$	−373.884	+	373.884i	−0.671246	+	0.671246i	0.286757	+	0.958003i	$0.407423\pi$
$558$	−0.105353	−	0.154668i	−0.000188805	−	0.000277183i
$559$	−11.0153			−0.0197055
$560$	−692.438	−	459.811i	−1.23650	−	0.821091i
$561$	−438.914	−	863.140i	−0.782378	−	1.53857i
$562$	−129.071	+	109.667i	−0.229663	+	0.195138i
$563$	−97.5763	−	26.1455i	−0.173315	−	0.0464396i	0.171118	−	0.985251i	$-0.445262\pi$
$563$	−97.5763	−	26.1455i	−0.173315	−	0.0464396i	−0.344433	+	0.938811i	$0.611929\pi$
$564$	−231.449	−	361.062i	−0.410370	−	0.640181i
$565$	167.480	+	625.044i	0.296425	+	1.10627i
$566$	−172.701	−	119.345i	−0.305125	−	0.210857i
$567$	−1003.68	+	322.535i	−1.77016	+	0.568845i
$568$	91.5043	+	151.925i	0.161099	+	0.267474i
$569$	−293.077	+	507.624i	−0.515074	+	0.892134i	0.484773	+	0.874640i	$0.338902\pi$
$569$	−293.077	+	507.624i	−0.515074	+	0.892134i	−0.999847	+	0.0174942i	$0.994431\pi$
$570$	264.411	−	108.482i	0.463880	−	0.190319i
$571$	669.610	+	179.421i	1.17270	+	0.314223i	0.792026	−	0.610488i	$-0.209026\pi$
$571$	669.610	+	179.421i	1.17270	+	0.314223i	0.380671	+	0.924711i	$0.375693\pi$
$572$	−311.864	+	381.118i	−0.545217	+	0.666291i
$573$	55.5443	+	18.0970i	0.0969359	+	0.0315829i
$574$	−231.739	+	649.131i	−0.403726	+	1.13089i
$575$			8.88383i			0.0154501i
$576$	−39.8944	+	574.617i	−0.0692611	+	0.997599i
$577$	587.109			1.01752			0.508760	−	0.860909i	$-0.330104\pi$
$577$	587.109			1.01752			0.508760	+	0.860909i	$0.330104\pi$
$578$	1318.00	+	470.524i	2.28027	+	0.814055i
$579$	383.053	+	426.115i	0.661577	+	0.735950i
$580$	251.012	+	205.400i	0.432780	+	0.354138i
$581$	−215.455	+	804.089i	−0.370835	+	1.38397i
$582$	−284.995	+	368.837i	−0.489682	+	0.633740i
$583$	653.446	+	377.267i	1.12083	+	0.647114i
$584$	954.463	−	574.872i	1.63435	−	0.984370i
$585$	428.413	+	45.7276i	0.732329	+	0.0781669i
$586$	−22.1939	+	32.1161i	−0.0378736	+	0.0548056i
$587$	1070.88	−	286.942i	1.82433	−	0.488828i	0.827023	−	0.562169i	$-0.190033\pi$
$587$	1070.88	−	286.942i	1.82433	−	0.488828i	0.997307	+	0.0733412i	$0.0233662\pi$
$588$	67.0677	+	1443.19i	0.114061	+	2.45440i
$589$	0.0321120	−	0.119844i	5.45195e−5	−	0.000203469i
$590$	−23.8332	−	28.0500i	−0.0403953	−	0.0475424i
$591$	−212.794	−	138.435i	−0.360058	−	0.234238i
$592$	271.447	+	180.253i	0.458525	+	0.304482i
$593$			903.880i			1.52425i	0.647430	+	0.762125i	$0.275844\pi$
$593$			903.880i			1.52425i	−0.647430	+	0.762125i	$0.724156\pi$
$594$	−474.065	+	287.270i	−0.798089	+	0.483620i
$595$	1155.08	+	1155.08i	1.94131	+	1.94131i
$596$	306.122	−	220.028i	0.513628	−	0.369174i
$597$	1.99617	+	9.42870i	0.00334368	+	0.0157935i
$598$	23.4225	+	1.90367i	0.0391681	+	0.00318339i
$599$	271.858	+	470.872i	0.453853	+	0.786097i	0.998621	−	0.0524898i	$-0.0167157\pi$
$599$	271.858	+	470.872i	0.453853	+	0.786097i	−0.544768	+	0.838587i	$0.683382\pi$
$600$	−49.0092	−	212.042i	−0.0816819	−	0.353403i
$601$	−836.777	−	483.114i	−1.39231	−	0.803850i	−0.398738	−	0.917065i	$-0.630552\pi$
$601$	−836.777	−	483.114i	−1.39231	−	0.803850i	−0.993570	+	0.113215i	$0.963885\pi$
$602$	−13.5917	+	19.6681i	−0.0225776	+	0.0326713i
$603$	107.636	+	686.767i	0.178502	+	1.13892i
$604$	216.970	+	573.982i	0.359221	+	0.950301i
$605$	16.1459	+	60.2572i	0.0266874	+	0.0995986i
$606$	−294.013	+	37.7017i	−0.485171	+	0.0622140i
$607$	382.190	+	661.973i	0.629638	+	1.09056i	0.987624	+	0.156838i	$0.0501300\pi$
$607$	382.190	+	661.973i	0.629638	+	1.09056i	−0.357987	+	0.933727i	$0.616537\pi$
$608$	−305.912	+	228.581i	−0.503145	+	0.375956i
$609$	42.1520	−	792.069i	0.0692150	−	1.30061i
$610$	−274.215	+	768.113i	−0.449533	+	1.25920i
$611$	303.096	−	303.096i	0.496065	−	0.496065i
$612$	300.331	−	1091.42i	0.490737	−	1.78337i
$613$	−512.693	+	512.693i	−0.836367	+	0.836367i	−0.988379	−	0.152012i	$-0.951425\pi$
$613$	−512.693	+	512.693i	−0.836367	+	0.836367i	0.152012	+	0.988379i	$0.451425\pi$
$614$	−238.372	−	503.064i	−0.388228	−	0.819323i
$615$	282.628	−	143.719i	0.459558	−	0.233689i
$616$	295.689	+	1027.10i	0.480015	+	1.66737i
$617$	250.839	+	434.465i	0.406546	+	0.704158i	0.994500	−	0.104736i	$-0.0333998\pi$
$617$	250.839	+	434.465i	0.406546	+	0.704158i	−0.587954	+	0.808894i	$0.700067\pi$
$618$	−348.993	+	143.184i	−0.564714	+	0.231689i
$619$	−82.7976	−	309.005i	−0.133760	−	0.499200i	0.866240	−	0.499629i	$-0.166530\pi$
$619$	−82.7976	−	309.005i	−0.133760	−	0.499200i	−1.00000		0.000428546i	$0.999864\pi$
$620$	0.151295	+	0.0682901i	0.000244024	+	0.000110145i
$621$	24.1387	+	10.8174i	0.0388706	+	0.0174193i
$622$	−80.7033	−	441.737i	−0.129748	−	0.710188i
$623$	−435.515	−	251.444i	−0.699060	−	0.403603i
$624$	−569.557	+	83.7771i	−0.912752	+	0.134258i
$625$	−158.036	−	273.726i	−0.252857	−	0.437962i
$626$	−211.631	−	249.074i	−0.338068	−	0.397883i
$627$	−349.422	−	113.846i	−0.557292	−	0.181573i
$628$	−32.8420	+	23.6054i	−0.0522961	+	0.0375883i
$629$	−452.809	−	452.809i	−0.719887	−	0.719887i
$630$	610.261	−	708.517i	0.968668	−	1.12463i
$631$			1089.35i			1.72639i	0.504871	+	0.863195i	$0.331540\pi$
$631$			1089.35i			1.72639i	−0.504871	+	0.863195i	$0.668460\pi$
$632$	388.527	−	7.19212i	0.614759	−	0.0113799i
$633$	−34.2371	+	643.343i	−0.0540871	+	1.01634i
$634$	89.1656	−	1097.09i	0.140640	−	1.73042i
$635$	64.9028	−	242.220i	0.102209	−	0.381450i
$636$	267.600	+	840.491i	0.420755	+	1.32153i
$637$	−1394.76	+	373.724i	−2.18957	+	0.586694i
$638$	−74.9538	−	410.266i	−0.117482	−	0.643051i
$639$	−182.404	+	80.8587i	−0.285452	+	0.126539i
$640$	−235.711	−	453.289i	−0.368298	−	0.708263i
$641$	−113.444	−	65.4969i	−0.176980	−	0.102179i	0.408893	−	0.912582i	$-0.365915\pi$
$641$	−113.444	−	65.4969i	−0.176980	−	0.102179i	−0.585873	+	0.810403i	$0.699248\pi$
$642$	−113.439	−	148.871i	−0.176696	−	0.231886i
$643$	−14.1463	+	52.7948i	−0.0220005	+	0.0821070i	−0.976053	−	0.217532i	$-0.930199\pi$
$643$	−14.1463	+	52.7948i	−0.0220005	+	0.0821070i	0.954053	+	0.299639i	$0.0968661\pi$
$644$	32.2998	−	39.4725i	0.0501550	−	0.0612927i
$645$	10.7594	−	2.27791i	0.0166813	−	0.00353164i
$646$	678.207	−	321.362i	1.04986	−	0.497464i
$647$	−140.238			−0.216750			−0.108375	−	0.994110i	$-0.534565\pi$
$647$	−140.238			−0.216750			−0.108375	+	0.994110i	$0.534565\pi$
$648$	−635.824	−	125.027i	−0.981210	−	0.192943i
$649$			47.3301i			0.0729277i
$650$	196.563	−	93.1395i	0.302405	−	0.143292i
$651$	−0.0840800	−	0.397142i	−0.000129155	−	0.000610049i
$652$	−99.6764	−	997.397i	−0.152878	−	1.52975i
$653$	−827.733	−	221.790i	−1.26759	−	0.339649i	−0.438480	−	0.898741i	$-0.644483\pi$
$653$	−827.733	−	221.790i	−1.26759	−	0.339649i	−0.829105	+	0.559092i	$0.811150\pi$
$654$	361.081	+	473.863i	0.552112	+	0.724561i
$655$	−231.281	+	400.590i	−0.353100	+	0.611588i
$656$	−317.725	+	280.250i	−0.484337	+	0.427211i
$657$	507.992	+	1145.94i	0.773199	+	1.74421i
$658$	−167.197	−	915.170i	−0.254099	−	1.39084i
$659$	56.2796	+	210.038i	0.0854015	+	0.318723i	0.995390	−	0.0959109i	$-0.0305764\pi$
$659$	56.2796	+	210.038i	0.0854015	+	0.318723i	−0.909988	+	0.414634i	$0.863910\pi$
$660$	225.805	−	436.755i	0.342129	−	0.661750i
$661$	663.025	+	177.657i	1.00306	+	0.268770i	0.722728	−	0.691132i	$-0.242888\pi$
$661$	663.025	+	177.657i	1.00306	+	0.268770i	0.280335	+	0.959902i	$0.409554\pi$
$662$	72.7473	−	895.075i	0.109890	−	1.35208i
$663$	1129.77	+	60.1237i	1.70403	+	0.0906844i
$664$	−355.055	+	368.448i	−0.534721	+	0.554891i
$665$	619.958			0.932268
$666$	−239.232	+	277.750i	−0.359208	+	0.417042i
$667$	−14.0728	+	14.0728i	−0.0210986	+	0.0210986i
$668$	−3.48229	+	21.2814i	−0.00521301	+	0.0318584i
$669$	284.506	−	873.221i	0.425271	−	1.30526i
$670$	−399.248	−	469.887i	−0.595892	−	0.701323i
$671$	908.238	−	524.371i	1.35356	−	0.781477i
$672$	−553.185	+	1120.33i	−0.823191	+	1.66716i
$673$	112.971	−	195.671i	0.167861	−	0.290744i	−0.769806	−	0.638277i	$-0.779647\pi$
$673$	112.971	−	195.671i	0.167861	−	0.290744i	0.937668	+	0.347533i	$0.112981\pi$
$674$	−68.6228	−	375.613i	−0.101814	−	0.557290i
$675$	243.556	−	25.0024i	0.360824	−	0.0370405i
$676$	35.5810	+	94.1276i	0.0526346	+	0.139242i
$677$	175.329	−	46.9794i	0.258980	−	0.0693934i	−0.126993	−	0.991904i	$-0.540533\pi$
$677$	175.329	−	46.9794i	0.258980	−	0.0693934i	0.385973	+	0.922510i	$0.373866\pi$
$678$	899.913	−	369.214i	1.32730	−	0.544563i
$679$	−875.635	+	505.548i	−1.28960	+	0.744548i
$680$	277.779	+	964.883i	0.408498	+	1.41895i
$681$	279.544	+	549.734i	0.410491	+	0.807245i
$682$	−0.0913974	−	0.192886i	−0.000134014	−	0.000282825i
$683$	−328.101	−	328.101i	−0.480383	−	0.480383i	0.424871	−	0.905254i	$-0.360319\pi$
$683$	−328.101	−	328.101i	−0.480383	−	0.480383i	−0.905254	+	0.424871i	$0.860319\pi$
$684$	−212.299	−	373.494i	−0.310378	−	0.546043i
$685$	−242.182	−	242.182i	−0.353551	−	0.353551i
$686$	−624.843	+	1750.27i	−0.910849	+	2.55141i
$687$	−1051.99	−	55.9845i	−1.53129	−	0.0814913i
$688$	−13.1610	+	6.53719i	−0.0191294	+	0.00950173i
$689$	−763.473	+	440.791i	−1.10809	+	0.639755i
$690$	−23.2720	+	2.98420i	−0.0337276	+	0.00432493i
$691$	−201.061	+	53.8742i	−0.290972	+	0.0779656i	−0.401352	−	0.915924i	$-0.631460\pi$
$691$	−201.061	+	53.8742i	−0.290972	+	0.0779656i	0.110381	+	0.993889i	$0.464793\pi$
$692$	411.925	−	912.611i	0.595268	−	1.31880i
$693$	−1187.91	+	186.181i	−1.71416	+	0.268659i
$694$	−144.997	+	209.820i	−0.208929	+	0.302335i
$695$	−60.8580	+	105.409i	−0.0875655	+	0.151668i
$696$	258.258	−	413.527i	0.371060	−	0.594148i
$697$	721.058	−	416.303i	1.03452	−	0.597278i
$698$	−288.272	−	23.4293i	−0.412998	−	0.0335664i
$699$	−72.7102	+	15.3937i	−0.104020	+	0.0220224i
$700$	76.2342	−	465.891i	0.108906	−	0.665559i
$701$	567.235	−	567.235i	0.809179	−	0.809179i	−0.175330	−	0.984510i	$-0.556099\pi$
$701$	567.235	−	567.235i	0.809179	−	0.809179i	0.984510	+	0.175330i	$0.0560993\pi$
$702$	−13.7294	−	647.501i	−0.0195575	−	0.922366i
$703$	−243.034			−0.345709
$704$	−146.432	+	640.435i	−0.208001	+	0.909709i
$705$	−233.375	+	358.732i	−0.331029	+	0.508840i
$706$	516.390	+	607.755i	0.731430	+	0.860842i
$707$	−621.087	−	166.420i	−0.878482	−	0.235389i
$708$	−37.2656	+	40.8980i	−0.0526350	+	0.0577655i
$709$	−155.433	−	580.083i	−0.219228	−	0.818171i	−0.984635	−	0.174624i	$-0.944129\pi$
$709$	−155.433	−	580.083i	−0.219228	−	0.818171i	0.765407	−	0.643547i	$-0.222538\pi$
$710$	100.613	−	145.594i	0.141709	−	0.205062i
$711$	−46.3986	+	434.699i	−0.0652583	+	0.611391i
$712$	−159.482	−	264.790i	−0.223992	−	0.371895i
$713$	−0.00509277	+	0.00882093i	−7.14273e−6	+	1.23716e-5i
$714$	1501.37	−	1943.05i	2.10275	−	2.72136i
$715$	474.662	+	127.185i	0.663862	+	0.177881i
$716$	819.389	−	81.8869i	1.14440	−	0.114367i
$717$	661.244	−	594.421i	0.922238	−	0.829039i
$718$	−833.327	−	297.497i	−1.16062	−	0.414341i
$719$			701.525i			0.975695i	0.872929	+	0.487848i	$0.162218\pi$
$719$			701.525i			0.975695i	−0.872929	+	0.487848i	$0.837782\pi$
$720$	539.000	−	199.612i	0.748611	−	0.277239i
$721$	−818.275			−1.13492
$722$	−146.984	+	411.722i	−0.203579	+	0.570253i
$723$	−108.315	+	332.446i	−0.149813	+	0.459814i
$724$	−120.179	+	12.0103i	−0.165994	+	0.0165888i
$725$	−47.6774	+	177.934i	−0.0657619	+	0.245427i
$726$	86.7558	−	35.5939i	0.119498	−	0.0490275i
$727$	−528.028	−	304.857i	−0.726311	−	0.419336i	0.0907599	−	0.995873i	$-0.471070\pi$
$727$	−528.028	−	304.857i	−0.726311	−	0.419336i	−0.817071	+	0.576537i	$0.804404\pi$
$728$	−1212.00	−	300.827i	−1.66484	−	0.413224i
$729$	228.630	−	692.221i	0.313621	−	0.949548i
$730$	−914.688	−	632.098i	−1.25300	−	0.865887i
$731$	27.8957	−	7.47463i	0.0381610	−	0.0102252i
$732$	1197.68	+	261.996i	1.63617	+	0.357917i
$733$	16.2532	−	60.6578i	0.0221736	−	0.0827528i	−0.953952	−	0.299958i	$-0.903027\pi$
$733$	16.2532	−	60.6578i	0.0221736	−	0.0827528i	0.976126	+	0.217205i	$0.0696940\pi$
$734$	519.976	−	441.807i	0.708414	−	0.601917i
$735$	1285.07	−	653.469i	1.74839	−	0.889073i
$736$	29.1147	−	11.6259i	0.0395581	−	0.0157961i
$737$			792.861i			1.07579i
$738$	−268.319	−	393.918i	−0.363576	−	0.533764i
$739$	519.501	+	519.501i	0.702979	+	0.702979i	0.965049	−	0.262070i	$-0.0844052\pi$
$739$	519.501	+	519.501i	0.702979	+	0.702979i	−0.262070	+	0.965049i	$0.584405\pi$
$740$	52.5065	−	320.884i	0.0709548	−	0.433627i
$741$	319.323	−	287.053i	0.430936	−	0.387387i
$742$	−154.998	+	1907.08i	−0.208893	+	2.57019i
$743$	137.024	+	237.333i	0.184421	+	0.319426i	0.943381	−	0.331711i	$-0.107626\pi$
$743$	137.024	+	237.333i	0.184421	+	0.319426i	−0.758961	+	0.651137i	$0.774292\pi$
$744$	0.0728934	−	0.238636i	9.79750e−5	−	0.000320747i
$745$	−325.790	−	188.095i	−0.437303	−	0.252477i
$746$	249.378	+	172.333i	0.334287	+	0.231010i
$747$	−361.540	−	447.942i	−0.483989	−	0.599654i
$748$	531.163	−	1176.78i	0.710111	−	1.57323i
$749$	−105.080	−	392.166i	−0.140294	−	0.523586i
$750$	−648.959	+	494.503i	−0.865278	+	0.659338i
$751$	−509.952	−	883.262i	−0.679030	−	1.17611i	−0.975273	−	0.221002i	$-0.929067\pi$
$751$	−509.952	−	883.262i	−0.679030	−	1.17611i	0.296243	−	0.955113i	$-0.404266\pi$
$752$	182.260	−	542.011i	0.242366	−	0.720759i
$753$	−89.2092	−	58.0356i	−0.118472	−	0.0770725i
$754$	458.913	+	163.832i	0.608639	+	0.217283i
$755$	432.973	−	432.973i	0.573474	−	0.573474i
$756$	−1173.07	−	774.430i	−1.55168	−	1.02438i
$757$	230.914	−	230.914i	0.305038	−	0.305038i	−0.537943	−	0.842981i	$-0.680799\pi$
$757$	230.914	−	230.914i	0.305038	−	0.305038i	0.842981	+	0.537943i	$0.180799\pi$
$758$	761.324	−	360.746i	1.00439	−	0.475919i
$759$	25.2892	+	16.4520i	0.0333191	+	0.0216759i
$760$	333.484	+	184.393i	0.438794	+	0.242622i
$761$	−409.995	−	710.131i	−0.538758	−	0.933156i	−0.998971	−	0.0453474i	$-0.985561\pi$
$761$	−409.995	−	710.131i	−0.538758	−	0.933156i	0.460214	−	0.887808i	$-0.347773\pi$
$762$	−373.557	−	50.4589i	−0.490232	−	0.0662190i
$763$	334.476	+	1248.28i	0.438369	+	1.63602i
$764$	27.5413	+	72.8590i	0.0360488	+	0.0953652i
$765$	−1115.96	+	174.903i	−1.45877	+	0.228632i
$766$	−68.2902	+	12.4763i	−0.0891517	+	0.0162876i
$767$	−47.8907	−	27.6497i	−0.0624390	−	0.0360492i
$768$	−630.782	+	438.107i	−0.821331	+	0.570451i
$769$	563.574	+	976.139i	0.732866	+	1.26936i	0.955653	+	0.294494i	$0.0951513\pi$
$769$	563.574	+	976.139i	0.732866	+	1.26936i	−0.222787	+	0.974867i	$0.571515\pi$
$770$	812.771	−	690.586i	1.05555	−	0.896865i
$771$	−351.807	+	316.255i	−0.456300	+	0.410188i
$772$	−123.368	+	753.943i	−0.159804	+	0.976611i
$773$	−556.412	−	556.412i	−0.719809	−	0.719809i	0.248757	−	0.968566i	$-0.419978\pi$
$773$	−556.412	−	556.412i	−0.719809	−	0.719809i	−0.968566	+	0.248757i	$0.919978\pi$
$774$	−5.45345	−	15.6067i	−0.00704580	−	0.0201637i
$775$			0.0942770i			0.000121648i
$776$	−621.380	+	11.5025i	−0.800747	+	0.0148228i
$777$	−708.797	+	360.430i	−0.912223	+	0.463873i
$778$	−860.865	−	69.9668i	−1.10651	−	0.0899316i
$779$	81.7847	−	305.225i	0.104987	−	0.391816i
$780$	310.016	+	483.628i	0.397456	+	0.620036i
$781$	−219.813	+	58.8988i	−0.281451	+	0.0754146i
$782$	−60.6079	+	11.0728i	−0.0775037	+	0.0141596i
$783$	425.419	+	346.207i	0.543320	+	0.442155i
$784$	−1444.65	+	1274.26i	−1.84267	+	1.62533i
$785$	34.9520	+	20.1796i	0.0445249	+	0.0257065i
$786$	641.494	+	268.248i	0.816150	+	0.341282i
$787$	371.793	−	1387.55i	0.472417	−	1.76309i	−0.158626	−	0.987339i	$-0.550706\pi$
$787$	371.793	−	1387.55i	0.472417	−	1.76309i	0.631044	−	0.775747i	$-0.282627\pi$
$788$	−33.6590	−	336.804i	−0.0427145	−	0.427416i
$789$	−236.784	+	726.748i	−0.300106	+	0.921100i
$790$	−166.043	−	350.419i	−0.210181	−	0.443568i
$791$	2110.00			2.66751
$792$	−694.369	−	253.170i	−0.876729	−	0.319659i
$793$			1225.33i			1.54518i
$794$	−154.982	−	327.077i	−0.195192	−	0.411936i
$795$	654.582	−	588.432i	0.823373	−	0.740166i
$796$	−8.13789	+	9.94503i	−0.0102235	+	0.0124938i
$797$	178.612	+	47.8588i	0.224105	+	0.0600487i	0.369124	−	0.929380i	$-0.379658\pi$
$797$	178.612	+	47.8588i	0.224105	+	0.0600487i	−0.145019	+	0.989429i	$0.546324\pi$
$798$	−118.531	−	924.351i	−0.148535	−	1.15833i
$799$	−561.901	+	973.241i	−0.703256	+	1.21807i
$800$	179.577	−	227.935i	0.224471	−	0.284918i
$801$	317.911	−	140.928i	0.396892	−	0.175940i
$802$	505.342	−	92.3237i	0.630102	−	0.115117i
$803$	370.030	+	1380.97i	0.460809	+	1.71976i
$804$	−624.263	+	685.112i	−0.776446	+	0.852130i
$805$	−49.1608	−	13.1726i	−0.0610694	−	0.0163635i
$806$	0.248565	+	0.0202021i	0.000308393	+	2.50646e-5i
$807$	−570.444	+	876.855i	−0.706869	+	1.08656i
$808$	−284.593	−	274.248i	−0.352219	−	0.339416i
$809$	101.669			0.125672			0.0628362	−	0.998024i	$-0.479985\pi$
$809$	101.669			0.125672			0.0628362	+	0.998024i	$0.479985\pi$
$810$	147.310	+	629.618i	0.181864	+	0.777307i
$811$	459.355	−	459.355i	0.566405	−	0.566405i	−0.364714	−	0.931119i	$-0.618833\pi$
$811$	459.355	−	459.355i	0.566405	−	0.566405i	0.931119	+	0.364714i	$0.118833\pi$
$812$	858.773	−	617.250i	1.05760	−	0.760160i
$813$	−1133.83	+	240.047i	−1.39463	+	0.295261i
$814$	−318.620	+	270.721i	−0.391425	+	0.332581i
$815$	−866.227	+	500.116i	−1.06286	+	0.613640i
$816$	1385.52	−	598.642i	1.69794	−	0.733630i
$817$	5.48025	−	9.49206i	0.00670777	−	0.0116182i
$818$	900.913	−	164.593i	1.10136	−	0.201214i
$819$	505.580	−	1310.75i	0.617314	−	1.60043i
$820$	385.327	+	173.925i	0.469911	+	0.212104i
$821$	−480.990	+	128.881i	−0.585859	+	0.156980i	−0.539560	−	0.841947i	$-0.681409\pi$
$821$	−480.990	+	128.881i	−0.585859	+	0.156980i	−0.0462990	+	0.998928i	$0.514743\pi$
$822$	−314.788	+	407.394i	−0.382953	+	0.495613i
$823$	−202.790	+	117.081i	−0.246404	+	0.142261i	−0.618116	−	0.786087i	$-0.712104\pi$
$823$	−202.790	+	117.081i	−0.246404	+	0.142261i	0.371713	+	0.928348i	$0.378771\pi$
$824$	−440.161	−	243.378i	−0.534176	−	0.295362i
$825$	278.855	+	14.8400i	0.338006	+	0.0179879i
$826$	−108.461	+	51.3932i	−0.131309	+	0.0622194i
$827$	61.1321	+	61.1321i	0.0739203	+	0.0739203i	0.743100	−	0.669180i	$-0.233355\pi$
$827$	61.1321	+	61.1321i	0.0739203	+	0.0739203i	−0.669180	+	0.743100i	$0.733355\pi$
$828$	8.89882	+	34.1278i	0.0107474	+	0.0412171i
$829$	376.748	+	376.748i	0.454460	+	0.454460i	0.896832	−	0.442371i	$-0.145863\pi$
$829$	376.748	+	376.748i	0.454460	+	0.454460i	−0.442371	+	0.896832i	$0.645863\pi$
$830$	480.868	+	171.669i	0.579360	+	0.206831i
$831$	−223.280	−	439.088i	−0.268689	−	0.528386i
$832$	−562.477	−	522.303i	−0.676055	−	0.627767i
$833$	3278.54	−	1892.87i	3.93583	−	2.27235i
$834$	168.800	+	70.5853i	0.202398	+	0.0846347i
$835$	20.7853	−	5.56941i	0.0248926	−	0.00666995i
$836$	−173.259	−	458.347i	−0.207247	−	0.548262i
$837$	0.256164	+	0.114796i	0.000306051	+	0.000137152i
$838$	168.962	+	116.762i	0.201625	+	0.139334i
$839$	−211.922	+	367.060i	−0.252589	+	0.437497i	−0.964238	−	0.265038i	$-0.914615\pi$
$839$	−211.922	+	367.060i	−0.252589	+	0.437497i	0.711649	+	0.702535i	$0.247949\pi$
$840$	1246.05	+	43.2034i	1.48340	+	0.0514326i
$841$	370.939	−	214.162i	0.441069	−	0.254651i
$842$	−59.3018	+	729.644i	−0.0704297	+	0.866561i
$843$	78.7024	−	241.557i	0.0933599	−	0.286545i
$844$	−697.522	+	501.350i	−0.826448	+	0.594016i
$845$	71.0035	−	71.0035i	0.0840278	−	0.0840278i
$846$	579.485	+	279.374i	0.684970	+	0.330229i
$847$	203.414			0.240158
$848$	−650.596	+	979.744i	−0.767212	+	1.15536i
$849$	314.443	+	16.7339i	0.370369	+	0.0197101i
$850$	−434.583	+	369.251i	−0.511274	+	0.434413i
$851$	19.2719	+	5.16388i	0.0226461	+	0.00606801i
$852$	−236.315	−	122.177i	−0.277365	−	0.143400i
$853$	336.809	+	1256.99i	0.394853	+	1.47361i	0.822031	+	0.569443i	$0.192841\pi$
$853$	336.809	+	1256.99i	0.394853	+	1.47361i	−0.427178	+	0.904168i	$0.640492\pi$
$854$	2187.85	+	1511.92i	2.56189	+	1.77040i
$855$	−252.544	+	346.418i	−0.295373	+	0.405168i
$856$	60.1169	−	242.205i	0.0702300	−	0.282950i
$857$	−195.038	+	337.816i	−0.227583	+	0.394185i	−0.957091	−	0.289787i	$-0.906416\pi$
$857$	−195.038	+	337.816i	−0.227583	+	0.394185i	0.729508	+	0.683972i	$0.239749\pi$
$858$	98.8805	−	732.032i	0.115245	−	0.853184i
$859$	344.341	+	92.2660i	0.400863	+	0.107411i	0.453617	−	0.891197i	$-0.350133\pi$
$859$	344.341	+	92.2660i	0.400863	+	0.107411i	−0.0527543	+	0.998608i	$0.516800\pi$
$860$	11.3486	+	9.28644i	0.0131961	+	0.0107982i
$861$	−214.140	−	1011.46i	−0.248711	−	1.17476i
$862$	516.872	−	1447.83i	0.599620	−	1.67961i
$863$		−	759.810i		−	0.880429i	−0.897893	−	0.440215i	$-0.854902\pi$
$863$		−	759.810i		−	0.880429i	0.897893	−	0.440215i	$-0.145098\pi$
$864$	−400.671	−	765.479i	−0.463740	−	0.885971i
$865$	−999.140			−1.15507
$866$	−1204.26	−	429.920i	−1.39060	−	0.496444i
$867$	−2053.68	+	434.790i	−2.36872	+	0.501488i
$868$	0.342772	−	0.418890i	0.000394899	−	0.000482593i
$869$	−129.051	+	481.627i	−0.148506	+	0.554231i
$870$	−482.131	−	65.1247i	−0.554173	−	0.0748560i
$871$	−802.253	−	463.181i	−0.921071	−	0.531781i
$872$	−191.355	+	770.949i	−0.219444	+	0.884116i
$873$	74.2063	−	695.223i	0.0850015	−	0.796361i
$874$	−13.2934	+	19.2364i	−0.0152098	+	0.0220096i
$875$	−1709.53	+	458.067i	−1.95375	+	0.523505i
$876$	−767.570	+	1484.64i	−0.876221	+	1.69480i
$877$	−142.392	+	531.412i	−0.162362	+	0.605944i	0.836000	+	0.548730i	$0.184888\pi$
$877$	−142.392	+	531.412i	−0.162362	+	0.605944i	−0.998362	+	0.0572139i	$0.981778\pi$
$878$	−1069.66	−	1258.91i	−1.21829	−	1.43384i
$879$	3.11190	−	58.4752i	0.00354028	−	0.0665246i
$880$	642.600	−	129.734i	0.730227	−	0.147425i
$881$		−	1270.91i		−	1.44258i	−0.692633	−	0.721290i	$-0.743549\pi$
$881$		−	1270.91i		−	1.44258i	0.692633	−	0.721290i	$-0.256451\pi$
$882$	−1220.01	−	1791.09i	−1.38323	−	2.03071i
$883$	−592.644	−	592.644i	−0.671171	−	0.671171i	0.286815	−	0.957986i	$-0.407403\pi$
$883$	−592.644	−	592.644i	−0.671171	−	0.671171i	−0.957986	+	0.286815i	$0.907403\pi$
$884$	880.419	+	1224.92i	0.995949	+	1.38565i
$885$	52.4959	+	17.1038i	0.0593174	+	0.0193264i
$886$	1376.61	+	111.884i	1.55373	+	0.126280i
$887$	−449.846	−	779.156i	−0.507154	−	0.878417i	−0.999966	−	0.00828107i	$-0.997364\pi$
$887$	−449.846	−	779.156i	−0.507154	−	0.878417i	0.492811	−	0.870136i	$-0.335969\pi$
$888$	−488.473	−	16.9364i	−0.550082	−	0.0190725i
$889$	−708.131	−	408.839i	−0.796547	−	0.459887i
$890$	−175.358	+	253.755i	−0.197031	+	0.285118i
$891$	379.870	−	739.621i	0.426341	−	0.830102i
$892$	1145.43	−	432.982i	1.28411	−	0.485405i
$893$	110.388	+	411.974i	0.123615	+	0.461337i
$894$	−218.160	+	521.712i	−0.244026	+	0.583571i
$895$	−410.859	−	711.629i	−0.459061	−	0.795117i
$896$	−1626.62	+	359.852i	−1.81542	+	0.401621i
$897$	−31.4206	+	15.9776i	−0.0350285	+	0.0178123i
$898$	−350.579	+	982.017i	−0.390400	+	1.09356i
$899$	−0.149343	+	0.149343i	−0.000166121	+	0.000166121i
$900$	229.275	+	232.381i	0.254750	+	0.258202i
$901$	1634.34	−	1634.34i	1.81392	−	1.81392i
$902$	−232.776	−	491.254i	−0.258067	−	0.544628i
$903$	1.90575	−	35.8106i	0.00211047	−	0.0396574i
$904$	1135.00	+	627.573i	1.25553	+	0.694218i
$905$	60.2606	+	104.374i	0.0665863	+	0.115331i
$906$	−728.338	−	562.777i	−0.803905	−	0.621166i
$907$	−108.463	−	404.789i	−0.119584	−	0.446294i	0.880005	−	0.474965i	$-0.157539\pi$
$907$	−108.463	−	404.789i	−0.119584	−	0.446294i	−0.999589	+	0.0286707i	$0.990873\pi$
$908$	−338.298	+	749.491i	−0.372575	+	0.825430i
$909$	345.995	−	279.257i	0.380632	−	0.307213i
$910$	223.954	+	1225.83i	0.246103	+	1.34707i
$911$	276.702	+	159.754i	0.303734	+	0.175361i	0.644119	−	0.764925i	$-0.277224\pi$
$911$	276.702	+	159.754i	0.303734	+	0.175361i	−0.340385	+	0.940286i	$0.610557\pi$
$912$	211.169	−	532.475i	0.231545	−	0.583854i
$913$	−328.277	−	568.592i	−0.359558	−	0.622773i
$914$	126.634	+	149.039i	0.138549	+	0.163062i
$915$	−253.391	−	1196.86i	−0.276930	−	1.30804i
$916$	−819.806	−	1140.59i	−0.894985	−	1.24518i
$917$	1066.52	+	1066.52i	1.16306	+	1.16306i
$918$	474.141	+	1630.44i	0.516493	+	1.77608i
$919$			77.8172i			0.0846759i	0.999103	+	0.0423380i	$0.0134806\pi$
$919$			77.8172i			0.0846759i	−0.999103	+	0.0423380i	$0.986519\pi$
$920$	−22.5264	−	21.7075i	−0.0244852	−	0.0235951i
$921$	699.942	+	455.352i	0.759980	+	0.494410i
$922$	46.8339	−	576.240i	0.0507960	−	0.624989i
$923$	68.8161	−	256.825i	0.0745570	−	0.278251i
$924$	−1185.05	−	1079.80i	−1.28252	−	1.16861i
$925$	178.380	−	47.7967i	0.192843	−	0.0516721i
$926$	−236.227	−	1293.01i	−0.255105	−	1.39634i
$927$	333.329	−	457.233i	0.359578	−	0.493240i
$928$	645.533	−	76.6036i	0.695617	−	0.0825470i
$929$	1489.50	+	859.965i	1.60334	+	0.925689i	0.990813	+	0.135240i	$0.0431806\pi$
$929$	1489.50	+	859.965i	1.60334	+	0.925689i	0.612528	+	0.790449i	$0.290153\pi$
$930$	−0.246967	+	0.0316689i	−0.000265556	+	3.40526e-5i
$931$	371.863	−	1387.81i	0.399423	−	1.49067i
$932$	−76.6919	−	62.7560i	−0.0822875	−	0.0673347i
$933$	450.304	+	500.926i	0.482641	+	0.536898i
$934$	−332.272	+	157.444i	−0.355752	+	0.168570i
$935$	−1288.36			−1.37792
$936$	661.812	−	554.696i	0.707064	−	0.592624i
$937$			1706.22i			1.82094i	0.413580	+	0.910468i	$0.364278\pi$
$937$			1706.22i			1.82094i	−0.413580	+	0.910468i	$0.635722\pi$
$938$	−1816.91	+	860.926i	−1.93700	+	0.917832i
$939$	466.145	+	151.876i	0.496427	+	0.161742i
$940$	−567.790	+	56.7430i	−0.604032	+	0.0603649i
$941$	488.370	+	130.858i	0.518990	+	0.139063i	0.508799	−	0.860885i	$-0.330089\pi$
$941$	488.370	+	130.858i	0.518990	+	0.139063i	0.0101907	+	0.999948i	$0.496756\pi$
$942$	23.4050	−	55.9713i	0.0248461	−	0.0594175i
$943$	−12.9706	+	22.4657i	−0.0137546	+	0.0238236i
$944$	−73.6284	−	4.61425i	−0.0779962	−	0.00488798i
$945$	−222.779	+	1384.85i	−0.235745	+	1.46545i
$946$	−3.38878	−	18.5488i	−0.00358222	−	0.0196076i
$947$	401.924	+	1500.00i	0.424418	+	1.58395i	0.765190	+	0.643805i	$0.222645\pi$
$947$	401.924	+	1500.00i	0.424418	+	1.58395i	−0.340771	+	0.940146i	$0.610688\pi$
$948$	−490.725	+	314.565i	−0.517642	+	0.331820i
$949$	−1613.49	−	432.335i	−1.70021	−	0.455569i
$950$	−17.5325	+	215.719i	−0.0184553	+	0.227072i
$951$	748.375	+	1471.70i	0.786934	+	1.54753i
$952$	3273.45	−	60.5956i	3.43850	−	0.0636509i
$953$	−1163.38			−1.22076			−0.610378	−	0.792110i	$-0.708983\pi$
$953$	−1163.38			−1.22076			−0.610378	+	0.792110i	$0.708983\pi$
$954$	−1002.50	−	863.471i	−1.05083	−	0.905106i
$955$	54.9599	−	54.9599i	0.0575496	−	0.0575496i
$956$	1169.97	+	191.443i	1.22382	+	0.200254i
$957$	418.223	+	465.239i	0.437015	+	0.486143i
$958$	778.612	+	916.372i	0.812747	+	0.956547i
$959$	−967.171	+	558.397i	−1.00852	+	0.582270i
$960$	657.418	+	393.851i	0.684811	+	0.410261i
$961$	480.500	−	832.250i	0.500000	−	0.866025i
$962$	−87.7937	−	480.546i	−0.0912616	−	0.499528i
$963$	261.938	+	101.034i	0.272002	+	0.104916i
$964$	−436.079	+	164.841i	−0.452364	+	0.170997i
$965$	736.369	−	197.309i	0.763077	−	0.204466i
$966$	−10.2411	+	75.8168i	−0.0106015	+	0.0784853i
$967$	−527.330	+	304.454i	−0.545325	+	0.314844i	−0.747234	−	0.664560i	$-0.768619\pi$
$967$	−527.330	+	304.454i	−0.545325	+	0.314844i	0.201909	+	0.979404i	$0.435285\pi$
$968$	109.419	+	60.5010i	0.113036	+	0.0625010i
$969$	−613.883	+	943.627i	−0.633522	+	0.973816i
$970$	265.556	+	560.432i	0.273769	+	0.577765i
$971$	−485.368	−	485.368i	−0.499864	−	0.499864i	0.411531	−	0.911396i	$-0.364994\pi$
$971$	−485.368	−	485.368i	−0.499864	−	0.499864i	−0.911396	+	0.411531i	$0.864994\pi$
$972$	910.590	−	340.015i	0.936821	−	0.349809i
$973$	280.639	+	280.639i	0.288427	+	0.288427i
$974$	169.166	−	473.856i	0.173682	−	0.486505i
$975$	−177.920	+	273.489i	−0.182482	+	0.280502i
$976$	727.186	+	1464.01i	0.745068	+	1.50001i
$977$	−1204.35	+	695.332i	−1.23270	+	0.711701i	−0.967592	−	0.252517i	$-0.918742\pi$
$977$	−1204.35	+	695.332i	−1.23270	+	0.711701i	−0.265110	+	0.964218i	$0.585408\pi$
$978$	911.283	+	1195.92i	0.931782	+	1.22282i
$979$	383.112	−	102.654i	0.391330	−	0.104856i
$980$	1752.02	+	790.812i	1.78778	+	0.806951i
$981$	−833.761	−	321.597i	−0.849910	−	0.327826i
$982$	−86.6530	+	125.393i	−0.0882413	+	0.127691i
$983$	602.403	−	1043.39i	0.612821	−	1.06144i	−0.377942	−	0.925829i	$-0.623368\pi$
$983$	602.403	−	1043.39i	0.612821	−	1.06144i	0.990763	−	0.135608i	$-0.0432987\pi$
$984$	185.649	−	607.771i	0.188668	−	0.617654i
$985$	−292.510	+	168.881i	−0.296965	+	0.171453i
$986$	−1273.34	−	103.491i	−1.29142	−	0.104960i
$987$	932.918	+	1037.79i	0.945206	+	1.05146i
$988$	564.993	+	92.4502i	0.571855	+	0.0935731i
$989$	−0.636251	+	0.636251i	−0.000643327	+	0.000643327i
$990$	54.7966	+	735.472i	0.0553501	+	0.742901i
$991$	−713.722			−0.720204			−0.360102	−	0.932913i	$-0.617258\pi$
$991$	−713.722			−0.720204			−0.360102	+	0.932913i	$0.617258\pi$
$992$	0.308972	−	0.123376i	0.000311463	−	0.000124371i
$993$	610.574	+	1200.71i	0.614878	+	1.20918i
$994$	−373.656	−	439.767i	−0.375911	−	0.442421i
$995$	12.3860	+	3.31881i	0.0124482	+	0.00333549i
$996$	164.019	−	749.791i	0.164678	−	0.752802i
$997$	251.671	+	939.248i	0.252428	+	0.942074i	0.969503	+	0.245078i	$0.0788136\pi$
$997$	251.671	+	939.248i	0.252428	+	0.942074i	−0.717075	+	0.696996i	$0.754520\pi$
$998$	−668.049	+	966.713i	−0.669388	+	0.968650i
$999$	87.3329	−	542.883i	0.0874203	−	0.543426i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.29.5	yes	184
3.2	odd	2		432.3.x.a.413.42		184
9.4	even	3		432.3.x.a.125.35		184
9.5	odd	6	inner	144.3.w.a.77.12	yes	184
16.5	even	4	inner	144.3.w.a.101.12	yes	184
48.5	odd	4		432.3.x.a.197.35		184
144.5	odd	12	inner	144.3.w.a.5.5	✓	184
144.85	even	12		432.3.x.a.341.42		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.5	✓	184	144.5	odd	12	inner
144.3.w.a.29.5	yes	184	1.1	even	1	trivial
144.3.w.a.77.12	yes	184	9.5	odd	6	inner
144.3.w.a.101.12	yes	184	16.5	even	4	inner
432.3.x.a.125.35		184	9.4	even	3
432.3.x.a.197.35		184	48.5	odd	4
432.3.x.a.341.42		184	144.85	even	12
432.3.x.a.413.42		184	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.88357 - 0.672432i) q^{2} +(2.93495 - 0.621365i) q^{3} +(3.09567 + 2.53315i) q^{4} +(1.03307 - 3.85549i) q^{5} +(-5.94600 - 0.803167i) q^{6} +(-11.2715 - 6.50760i) q^{7} +(-4.12754 - 6.85298i) q^{8} +(8.22781 - 3.64735i) q^{9} +O(q^{10})\)	\(q+(-1.88357 - 0.672432i) q^{2} +(2.93495 - 0.621365i) q^{3} +(3.09567 + 2.53315i) q^{4} +(1.03307 - 3.85549i) q^{5} +(-5.94600 - 0.803167i) q^{6} +(-11.2715 - 6.50760i) q^{7} +(-4.12754 - 6.85298i) q^{8} +(8.22781 - 3.64735i) q^{9} +(-4.53842 + 6.56740i) q^{10} +(9.91527 - 2.65679i) q^{11} +(10.6596 + 5.51110i) q^{12} +(-3.10413 + 11.5848i) q^{13} +(16.8547 + 19.8368i) q^{14} +(0.636352 - 11.9576i) q^{15} +(3.16635 + 15.6836i) q^{16} -31.4441i q^{17} +(-17.9502 + 1.33739i) q^{18} +(-8.43842 - 8.43842i) q^{19} +(12.9646 - 9.31838i) q^{20} +(-37.1248 - 12.0957i) q^{21} +(-20.4626 - 1.66310i) q^{22} +(0.489846 + 0.848438i) q^{23} +(-16.3723 - 17.5484i) q^{24} +(7.85311 + 4.53400i) q^{25} +(13.6368 - 19.7334i) q^{26} +(21.8818 - 15.8172i) q^{27} +(-18.4081 - 48.6977i) q^{28} +(5.25776 + 19.6222i) q^{29} +(-9.23926 + 22.0950i) q^{30} +(0.00519834 + 0.00900379i) q^{31} +(4.58210 - 31.6702i) q^{32} +(27.4499 - 13.9585i) q^{33} +(-21.1440 + 59.2272i) q^{34} +(-36.7343 + 36.7343i) q^{35} +(34.7098 + 9.55126i) q^{36} +(14.4004 - 14.4004i) q^{37} +(10.2201 + 21.5686i) q^{38} +(-1.91208 + 35.9295i) q^{39} +(-30.6856 + 8.83404i) q^{40} +(13.2394 + 22.9314i) q^{41} +(61.7936 + 47.7471i) q^{42} +(0.237711 + 0.887151i) q^{43} +(37.4244 + 16.8923i) q^{44} +(-5.56235 - 35.4902i) q^{45} +(-0.352142 - 1.92748i) q^{46} +(-30.9514 - 17.8698i) q^{47} +(19.0383 + 44.0630i) q^{48} +(60.1978 + 104.266i) q^{49} +(-11.7431 - 13.8208i) q^{50} +(-19.5383 - 92.2868i) q^{51} +(-38.9553 + 27.9995i) q^{52} +(51.9761 + 51.9761i) q^{53} +(-51.8520 + 15.0788i) q^{54} -40.9728i q^{55} +(1.92709 + 104.104i) q^{56} +(-30.0096 - 19.5230i) q^{57} +(3.29126 - 40.4953i) q^{58} +(-1.19336 + 4.45369i) q^{59} +(32.2602 - 35.4047i) q^{60} +(98.6852 - 26.4426i) q^{61} +(-0.00373700 - 0.0204548i) q^{62} +(-116.475 - 12.4323i) q^{63} +(-29.9268 + 56.5720i) q^{64} +(41.4582 + 23.9359i) q^{65} +(-61.0900 + 7.83365i) q^{66} +(-19.9909 + 74.6071i) q^{67} +(79.6526 - 97.3407i) q^{68} +(1.96486 + 2.18574i) q^{69} +(93.8928 - 44.4902i) q^{70} -22.1692 q^{71} +(-58.9558 - 41.3305i) q^{72} +139.277i q^{73} +(-36.8075 + 17.4409i) q^{74} +(25.8657 + 8.42738i) q^{75} +(-4.74682 - 47.4983i) q^{76} +(-129.049 - 34.5786i) q^{77} +(27.7617 - 66.3900i) q^{78} +(-24.2871 + 42.0665i) q^{79} +(63.7388 + 3.99448i) q^{80} +(54.3937 - 60.0194i) q^{81} +(-9.51761 - 52.0955i) q^{82} +(-16.5541 - 61.7807i) q^{83} +(-84.2860 - 131.487i) q^{84} +(-121.232 - 32.4841i) q^{85} +(0.148803 - 1.83086i) q^{86} +(27.6238 + 54.3232i) q^{87} +(-59.1326 - 56.9832i) q^{88} +38.6386 q^{89} +(-13.3877 + 70.5885i) q^{90} +(110.377 - 110.377i) q^{91} +(-0.632815 + 3.86733i) q^{92} +(0.0208515 + 0.0231956i) q^{93} +(46.2830 + 54.4718i) q^{94} +(-41.2517 + 23.8167i) q^{95} +(-6.23059 - 95.7976i) q^{96} +(38.8429 - 67.2779i) q^{97} +(-43.2752 - 236.870i) q^{98} +(71.8907 - 58.0240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Introduction

L-functions

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