Properties

 Label 98.10.c.f.79.1 Level $98$ Weight $10$ Character 98.79 Analytic conductor $50.474$ Analytic rank $0$ Dimension $2$ CM no Inner twists $2$

Related objects

Newspace parameters

 Level: $$N$$ $$=$$ $$98 = 2 \cdot 7^{2}$$ Weight: $$k$$ $$=$$ $$10$$ Character orbit: $$[\chi]$$ $$=$$ 98.c (of order $$3$$, degree $$2$$, not minimal)

Newform invariants

 Self dual: no Analytic conductor: $$50.4735119441$$ Analytic rank: $$0$$ Dimension: $$2$$ Coefficient field: $$\Q(\zeta_{6})$$ Defining polynomial: $$x^{2} - x + 1$$ Coefficient ring: $$\Z[a_1, \ldots, a_{9}]$$ Coefficient ring index: $$1$$ Twist minimal: no (minimal twist has level 14) Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

 Embedding label 79.1 Root $$0.500000 - 0.866025i$$ of defining polynomial Character $$\chi$$ $$=$$ 98.79 Dual form 98.10.c.f.67.1

$q$-expansion

 $$f(q)$$ $$=$$ $$q+(8.00000 - 13.8564i) q^{2} +(3.00000 + 5.19615i) q^{3} +(-128.000 - 221.703i) q^{4} +(-280.000 + 484.974i) q^{5} +96.0000 q^{6} -4096.00 q^{8} +(9823.50 - 17014.8i) q^{9} +O(q^{10})$$ $$q+(8.00000 - 13.8564i) q^{2} +(3.00000 + 5.19615i) q^{3} +(-128.000 - 221.703i) q^{4} +(-280.000 + 484.974i) q^{5} +96.0000 q^{6} -4096.00 q^{8} +(9823.50 - 17014.8i) q^{9} +(4480.00 + 7759.59i) q^{10} +(27076.0 + 46897.0i) q^{11} +(768.000 - 1330.22i) q^{12} -113172. q^{13} -3360.00 q^{15} +(-32768.0 + 56755.8i) q^{16} +(-3131.00 - 5423.05i) q^{17} +(-157176. - 272237. i) q^{18} +(-128539. + 222636. i) q^{19} +143360. q^{20} +866432. q^{22} +(133000. - 230363. i) q^{23} +(-12288.0 - 21283.4i) q^{24} +(819762. + 1.41987e6i) q^{25} +(-905376. + 1.56816e6i) q^{26} +235980. q^{27} +1.57471e6 q^{29} +(-26880.0 + 46557.5i) q^{30} +(2.31874e6 + 4.01618e6i) q^{31} +(524288. + 908093. i) q^{32} +(-162456. + 281382. i) q^{33} -100192. q^{34} -5.02963e6 q^{36} +(5.97312e6 - 1.03457e7i) q^{37} +(2.05662e6 + 3.56218e6i) q^{38} +(-339516. - 588059. i) q^{39} +(1.14688e6 - 1.98645e6i) q^{40} +2.19091e7 q^{41} +2.75206e7 q^{43} +(6.93146e6 - 1.20056e7i) q^{44} +(5.50116e6 + 9.52829e6i) q^{45} +(-2.12800e6 - 3.68580e6i) q^{46} +(-2.64639e7 + 4.58369e7i) q^{47} -393216. q^{48} +2.62324e7 q^{50} +(18786.0 - 32538.3i) q^{51} +(1.44860e7 + 2.50905e7i) q^{52} +(-8.11061e6 - 1.40480e7i) q^{53} +(1.88784e6 - 3.26983e6i) q^{54} -3.03251e7 q^{55} -1.54247e6 q^{57} +(1.25977e7 - 2.18199e7i) q^{58} +(7.02548e7 + 1.21685e8i) q^{59} +(430080. + 744920. i) q^{60} +(1.01482e8 - 1.75772e8i) q^{61} +7.41997e7 q^{62} +1.67772e7 q^{64} +(3.16882e7 - 5.48855e7i) q^{65} +(2.59930e6 + 4.50211e6i) q^{66} +(-7.68673e7 - 1.33138e8i) q^{67} +(-801536. + 1.38830e6i) q^{68} +1.59600e6 q^{69} +2.79656e8 q^{71} +(-4.02371e7 + 6.96926e7i) q^{72} +(2.02011e8 + 3.49894e8i) q^{73} +(-9.55699e7 - 1.65532e8i) q^{74} +(-4.91858e6 + 8.51922e6i) q^{75} +6.58120e7 q^{76} -1.08645e7 q^{78} +(6.53449e7 - 1.13181e8i) q^{79} +(-1.83501e7 - 3.17833e7i) q^{80} +(-1.92648e8 - 3.33676e8i) q^{81} +(1.75273e8 - 3.03582e8i) q^{82} +4.20134e8 q^{83} +3.50672e6 q^{85} +(2.20165e8 - 3.81337e8i) q^{86} +(4.72414e6 + 8.18245e6i) q^{87} +(-1.10903e8 - 1.92090e8i) q^{88} +(2.34771e8 - 4.06636e8i) q^{89} +1.76037e8 q^{90} -6.80960e7 q^{92} +(-1.39125e7 + 2.40971e7i) q^{93} +(4.23423e8 + 7.33390e8i) q^{94} +(-7.19818e7 - 1.24676e8i) q^{95} +(-3.14573e6 + 5.44856e6i) q^{96} -8.72502e8 q^{97} +1.06392e9 q^{99} +O(q^{100})$$ $$\operatorname{Tr}(f)(q)$$ $$=$$ $$2 q + 16 q^{2} + 6 q^{3} - 256 q^{4} - 560 q^{5} + 192 q^{6} - 8192 q^{8} + 19647 q^{9} + O(q^{10})$$ $$2 q + 16 q^{2} + 6 q^{3} - 256 q^{4} - 560 q^{5} + 192 q^{6} - 8192 q^{8} + 19647 q^{9} + 8960 q^{10} + 54152 q^{11} + 1536 q^{12} - 226344 q^{13} - 6720 q^{15} - 65536 q^{16} - 6262 q^{17} - 314352 q^{18} - 257078 q^{19} + 286720 q^{20} + 1732864 q^{22} + 266000 q^{23} - 24576 q^{24} + 1639525 q^{25} - 1810752 q^{26} + 471960 q^{27} + 3149428 q^{29} - 53760 q^{30} + 4637484 q^{31} + 1048576 q^{32} - 324912 q^{33} - 200384 q^{34} - 10059264 q^{36} + 11946238 q^{37} + 4113248 q^{38} - 679032 q^{39} + 2293760 q^{40} + 43818252 q^{41} + 55041184 q^{43} + 13862912 q^{44} + 11002320 q^{45} - 4256000 q^{46} - 52927836 q^{47} - 786432 q^{48} + 52464800 q^{50} + 37572 q^{51} + 28972032 q^{52} - 16221222 q^{53} + 3775680 q^{54} - 60650240 q^{55} - 3084936 q^{57} + 25195424 q^{58} + 140509618 q^{59} + 860160 q^{60} + 202963560 q^{61} + 148399488 q^{62} + 33554432 q^{64} + 63376320 q^{65} + 5198592 q^{66} - 153734572 q^{67} - 1603072 q^{68} + 3192000 q^{69} + 559311872 q^{71} - 80474112 q^{72} + 404022830 q^{73} - 191139808 q^{74} - 9837150 q^{75} + 131623936 q^{76} - 21729024 q^{78} + 130689816 q^{79} - 36700160 q^{80} - 385296021 q^{81} + 350546016 q^{82} + 840268028 q^{83} + 7013440 q^{85} + 440329472 q^{86} + 9448284 q^{87} - 221806592 q^{88} + 469542390 q^{89} + 352074240 q^{90} - 136192000 q^{92} - 27824904 q^{93} + 846845376 q^{94} - 143963680 q^{95} - 6291456 q^{96} - 1745003380 q^{97} + 2127848688 q^{99} + O(q^{100})$$

Character values

We give the values of $$\chi$$ on generators for $$\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$$.

 $$n$$ $$3$$ $$\chi(n)$$ $$e\left(\frac{1}{3}\right)$$

Coefficient data

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

Display $$a_p$$ with $$p$$ up to: 50 250 1000 Display $$a_n$$ with $$n$$ up to: 50 250 1000
$$n$$ $$a_n$$ $$a_n / n^{(k-1)/2}$$ $$\alpha_n$$ $$\theta_n$$
$$p$$ $$a_p$$ $$a_p / p^{(k-1)/2}$$ $$\alpha_p$$ $$\theta_p$$
$$2$$ 8.00000 13.8564i 0.353553 0.612372i
$$3$$ 3.00000 + 5.19615i 0.0213833 + 0.0370370i 0.876519 0.481367i $$-0.159860\pi$$
−0.855136 + 0.518404i $$0.826526\pi$$
$$4$$ −128.000 221.703i −0.250000 0.433013i
$$5$$ −280.000 + 484.974i −0.200352 + 0.347019i −0.948642 0.316352i $$-0.897542\pi$$
0.748290 + 0.663372i $$0.230875\pi$$
$$6$$ 96.0000 0.0302406
$$7$$ 0 0
$$8$$ −4096.00 −0.353553
$$9$$ 9823.50 17014.8i 0.499086 0.864441i
$$10$$ 4480.00 + 7759.59i 0.141670 + 0.245380i
$$11$$ 27076.0 + 46897.0i 0.557593 + 0.965780i 0.997697 + 0.0678326i $$0.0216084\pi$$
−0.440104 + 0.897947i $$0.645058\pi$$
$$12$$ 768.000 1330.22i 0.0106917 0.0185185i
$$13$$ −113172. −1.09899 −0.549495 0.835497i $$-0.685180\pi$$
−0.549495 + 0.835497i $$0.685180\pi$$
$$14$$ 0 0
$$15$$ −3360.00 −0.0171368
$$16$$ −32768.0 + 56755.8i −0.125000 + 0.216506i
$$17$$ −3131.00 5423.05i −0.00909207 0.0157479i 0.861444 0.507853i $$-0.169561\pi$$
−0.870536 + 0.492105i $$0.836227\pi$$
$$18$$ −157176. 272237.i −0.352907 0.611252i
$$19$$ −128539. + 222636.i −0.226279 + 0.391926i −0.956702 0.291068i $$-0.905989\pi$$
0.730424 + 0.682994i $$0.239323\pi$$
$$20$$ 143360. 0.200352
$$21$$ 0 0
$$22$$ 866432. 0.788556
$$23$$ 133000. 230363.i 0.0991006 0.171647i −0.812212 0.583362i $$-0.801737\pi$$
0.911313 + 0.411715i $$0.135070\pi$$
$$24$$ −12288.0 21283.4i −0.00756015 0.0130946i
$$25$$ 819762. + 1.41987e6i 0.419718 + 0.726974i
$$26$$ −905376. + 1.56816e6i −0.388552 + 0.672991i
$$27$$ 235980. 0.0854552
$$28$$ 0 0
$$29$$ 1.57471e6 0.413438 0.206719 0.978400i $$-0.433721\pi$$
0.206719 + 0.978400i $$0.433721\pi$$
$$30$$ −26880.0 + 46557.5i −0.00605876 + 0.0104941i
$$31$$ 2.31874e6 + 4.01618e6i 0.450946 + 0.781062i 0.998445 0.0557446i $$-0.0177533\pi$$
−0.547499 + 0.836806i $$0.684420\pi$$
$$32$$ 524288. + 908093.i 0.0883883 + 0.153093i
$$33$$ −162456. + 281382.i −0.0238464 + 0.0413032i
$$34$$ −100192. −0.0128581
$$35$$ 0 0
$$36$$ −5.02963e6 −0.499086
$$37$$ 5.97312e6 1.03457e7i 0.523954 0.907515i −0.475657 0.879631i $$-0.657790\pi$$
0.999611 0.0278845i $$-0.00887708\pi$$
$$38$$ 2.05662e6 + 3.56218e6i 0.160003 + 0.277134i
$$39$$ −339516. 588059.i −0.0235001 0.0407033i
$$40$$ 1.14688e6 1.98645e6i 0.0708350 0.122690i
$$41$$ 2.19091e7 1.21087 0.605435 0.795895i $$-0.292999\pi$$
0.605435 + 0.795895i $$0.292999\pi$$
$$42$$ 0 0
$$43$$ 2.75206e7 1.22758 0.613790 0.789469i $$-0.289644\pi$$
0.613790 + 0.789469i $$0.289644\pi$$
$$44$$ 6.93146e6 1.20056e7i 0.278797 0.482890i
$$45$$ 5.50116e6 + 9.52829e6i 0.199985 + 0.346385i
$$46$$ −2.12800e6 3.68580e6i −0.0700747 0.121373i
$$47$$ −2.64639e7 + 4.58369e7i −0.791068 + 1.37017i 0.134238 + 0.990949i $$0.457141\pi$$
−0.925306 + 0.379221i $$0.876192\pi$$
$$48$$ −393216. −0.0106917
$$49$$ 0 0
$$50$$ 2.62324e7 0.593571
$$51$$ 18786.0 32538.3i 0.000388838 0.000673487i
$$52$$ 1.44860e7 + 2.50905e7i 0.274748 + 0.475877i
$$53$$ −8.11061e6 1.40480e7i −0.141193 0.244553i 0.786753 0.617268i $$-0.211760\pi$$
−0.927946 + 0.372715i $$0.878427\pi$$
$$54$$ 1.88784e6 3.26983e6i 0.0302130 0.0523304i
$$55$$ −3.03251e7 −0.446859
$$56$$ 0 0
$$57$$ −1.54247e6 −0.0193544
$$58$$ 1.25977e7 2.18199e7i 0.146173 0.253178i
$$59$$ 7.02548e7 + 1.21685e8i 0.754818 + 1.30738i 0.945465 + 0.325724i $$0.105608\pi$$
−0.190647 + 0.981659i $$0.561059\pi$$
$$60$$ 430080. + 744920.i 0.00428419 + 0.00742043i
$$61$$ 1.01482e8 1.75772e8i 0.938434 1.62542i 0.170042 0.985437i $$-0.445610\pi$$
0.768393 0.639979i $$-0.221057\pi$$
$$62$$ 7.41997e7 0.637734
$$63$$ 0 0
$$64$$ 1.67772e7 0.125000
$$65$$ 3.16882e7 5.48855e7i 0.220185 0.381371i
$$66$$ 2.59930e6 + 4.50211e6i 0.0168620 + 0.0292058i
$$67$$ −7.68673e7 1.33138e8i −0.466020 0.807171i 0.533227 0.845972i $$-0.320979\pi$$
−0.999247 + 0.0388015i $$0.987646\pi$$
$$68$$ −801536. + 1.38830e6i −0.00454604 + 0.00787397i
$$69$$ 1.59600e6 0.00847641
$$70$$ 0 0
$$71$$ 2.79656e8 1.30606 0.653028 0.757334i $$-0.273499\pi$$
0.653028 + 0.757334i $$0.273499\pi$$
$$72$$ −4.02371e7 + 6.96926e7i −0.176453 + 0.305626i
$$73$$ 2.02011e8 + 3.49894e8i 0.832574 + 1.44206i 0.895990 + 0.444074i $$0.146467\pi$$
−0.0634158 + 0.997987i $$0.520199\pi$$
$$74$$ −9.55699e7 1.65532e8i −0.370492 0.641710i
$$75$$ −4.91858e6 + 8.51922e6i −0.0179500 + 0.0310903i
$$76$$ 6.58120e7 0.226279
$$77$$ 0 0
$$78$$ −1.08645e7 −0.0332341
$$79$$ 6.53449e7 1.13181e8i 0.188751 0.326927i −0.756083 0.654476i $$-0.772889\pi$$
0.944834 + 0.327549i $$0.106223\pi$$
$$80$$ −1.83501e7 3.17833e7i −0.0500879 0.0867548i
$$81$$ −1.92648e8 3.33676e8i −0.497258 0.861276i
$$82$$ 1.75273e8 3.03582e8i 0.428107 0.741504i
$$83$$ 4.20134e8 0.971709 0.485855 0.874040i $$-0.338508\pi$$
0.485855 + 0.874040i $$0.338508\pi$$
$$84$$ 0 0
$$85$$ 3.50672e6 0.00728645
$$86$$ 2.20165e8 3.81337e8i 0.434015 0.751736i
$$87$$ 4.72414e6 + 8.18245e6i 0.00884069 + 0.0153125i
$$88$$ −1.10903e8 1.92090e8i −0.197139 0.341455i
$$89$$ 2.34771e8 4.06636e8i 0.396634 0.686990i −0.596674 0.802483i $$-0.703512\pi$$
0.993308 + 0.115493i $$0.0368449\pi$$
$$90$$ 1.76037e8 0.282822
$$91$$ 0 0
$$92$$ −6.80960e7 −0.0991006
$$93$$ −1.39125e7 + 2.40971e7i −0.0192855 + 0.0334034i
$$94$$ 4.23423e8 + 7.33390e8i 0.559370 + 0.968856i
$$95$$ −7.19818e7 1.24676e8i −0.0906706 0.157046i
$$96$$ −3.14573e6 + 5.44856e6i −0.00378008 + 0.00654729i
$$97$$ −8.72502e8 −1.00068 −0.500338 0.865830i $$-0.666791\pi$$
−0.500338 + 0.865830i $$0.666791\pi$$
$$98$$ 0 0
$$99$$ 1.06392e9 1.11315
$$100$$ 2.09859e8 3.63487e8i 0.209859 0.363487i
$$101$$ 6.04507e8 + 1.04704e9i 0.578037 + 1.00119i 0.995704 + 0.0925891i $$0.0295143\pi$$
−0.417668 + 0.908600i $$0.637152\pi$$
$$102$$ −300576. 520613.i −0.000274950 0.000476227i
$$103$$ −3.45281e8 + 5.98045e8i −0.302277 + 0.523560i −0.976651 0.214830i $$-0.931080\pi$$
0.674374 + 0.738390i $$0.264414\pi$$
$$104$$ 4.63553e8 0.388552
$$105$$ 0 0
$$106$$ −2.59540e8 −0.199677
$$107$$ −8.97497e7 + 1.55451e8i −0.0661921 + 0.114648i −0.897222 0.441579i $$-0.854418\pi$$
0.831030 + 0.556227i $$0.187752\pi$$
$$108$$ −3.02054e7 5.23174e7i −0.0213638 0.0370032i
$$109$$ 8.01804e8 + 1.38877e9i 0.544063 + 0.942345i 0.998665 + 0.0516501i $$0.0164480\pi$$
−0.454602 + 0.890695i $$0.650219\pi$$
$$110$$ −2.42601e8 + 4.20197e8i −0.157988 + 0.273644i
$$111$$ 7.16774e7 0.0448156
$$112$$ 0 0
$$113$$ 1.42785e9 0.823815 0.411908 0.911226i $$-0.364863\pi$$
0.411908 + 0.911226i $$0.364863\pi$$
$$114$$ −1.23397e7 + 2.13731e7i −0.00684281 + 0.0118521i
$$115$$ 7.44800e7 + 1.29003e8i 0.0397100 + 0.0687797i
$$116$$ −2.01563e8 3.49118e8i −0.103360 0.179024i
$$117$$ −1.11175e9 + 1.92560e9i −0.548490 + 0.950013i
$$118$$ 2.24815e9 1.06747
$$119$$ 0 0
$$120$$ 1.37626e7 0.00605876
$$121$$ −2.87246e8 + 4.97524e8i −0.121820 + 0.210999i
$$122$$ −1.62371e9 2.81235e9i −0.663573 1.14934i
$$123$$ 6.57274e7 + 1.13843e8i 0.0258925 + 0.0448471i
$$124$$ 5.93598e8 1.02814e9i 0.225473 0.390531i
$$125$$ −2.01188e9 −0.737069
$$126$$ 0 0
$$127$$ −2.35873e9 −0.804565 −0.402282 0.915516i $$-0.631783\pi$$
−0.402282 + 0.915516i $$0.631783\pi$$
$$128$$ 1.34218e8 2.32472e8i 0.0441942 0.0765466i
$$129$$ 8.25618e7 + 1.43001e8i 0.0262498 + 0.0454659i
$$130$$ −5.07011e8 8.78168e8i −0.155694 0.269670i
$$131$$ −3.00833e8 + 5.21057e8i −0.0892492 + 0.154584i −0.907194 0.420713i $$-0.861780\pi$$
0.817945 + 0.575297i $$0.195113\pi$$
$$132$$ 8.31775e7 0.0238464
$$133$$ 0 0
$$134$$ −2.45975e9 −0.659052
$$135$$ −6.60744e7 + 1.14444e8i −0.0171211 + 0.0296546i
$$136$$ 1.28246e7 + 2.22128e7i 0.00321453 + 0.00556773i
$$137$$ 2.58004e9 + 4.46877e9i 0.625726 + 1.08379i 0.988400 + 0.151874i $$0.0485307\pi$$
−0.362673 + 0.931916i $$0.618136\pi$$
$$138$$ 1.27680e7 2.21148e7i 0.00299686 0.00519072i
$$139$$ −7.14356e9 −1.62311 −0.811556 0.584275i $$-0.801379\pi$$
−0.811556 + 0.584275i $$0.801379\pi$$
$$140$$ 0 0
$$141$$ −3.17567e8 −0.0676627
$$142$$ 2.23725e9 3.87503e9i 0.461760 0.799792i
$$143$$ −3.06425e9 5.30743e9i −0.612790 1.06138i
$$144$$ 6.43793e8 + 1.11508e9i 0.124771 + 0.216110i
$$145$$ −4.40920e8 + 7.63696e8i −0.0828331 + 0.143471i
$$146$$ 6.46437e9 1.17744
$$147$$ 0 0
$$148$$ −3.05824e9 −0.523954
$$149$$ −4.55212e9 + 7.88450e9i −0.756616 + 1.31050i 0.187951 + 0.982178i $$0.439815\pi$$
−0.944567 + 0.328319i $$0.893518\pi$$
$$150$$ 7.86972e7 + 1.36308e8i 0.0126925 + 0.0219841i
$$151$$ 1.44716e8 + 2.50655e8i 0.0226527 + 0.0392357i 0.877130 0.480254i $$-0.159455\pi$$
−0.854477 + 0.519490i $$0.826122\pi$$
$$152$$ 5.26496e8 9.11917e8i 0.0800016 0.138567i
$$153$$ −1.23030e8 −0.0181509
$$154$$ 0 0
$$155$$ −2.59699e9 −0.361391
$$156$$ −8.69161e7 + 1.50543e8i −0.0117500 + 0.0203517i
$$157$$ −6.95339e9 1.20436e10i −0.913373 1.58201i −0.809266 0.587442i $$-0.800135\pi$$
−0.104107 0.994566i $$-0.533198\pi$$
$$158$$ −1.04552e9 1.81089e9i −0.133467 0.231172i
$$159$$ 4.86637e7 8.42879e7i 0.00603834 0.0104587i
$$160$$ −5.87203e8 −0.0708350
$$161$$ 0 0
$$162$$ −6.16474e9 −0.703229
$$163$$ −8.31162e9 + 1.43962e10i −0.922235 + 1.59736i −0.126287 + 0.991994i $$0.540306\pi$$
−0.795948 + 0.605364i $$0.793027\pi$$
$$164$$ −2.80437e9 4.85731e9i −0.302718 0.524322i
$$165$$ −9.09754e7 1.57574e8i −0.00955534 0.0165503i
$$166$$ 3.36107e9 5.82155e9i 0.343551 0.595048i
$$167$$ −1.58019e10 −1.57212 −0.786061 0.618149i $$-0.787883\pi$$
−0.786061 + 0.618149i $$0.787883\pi$$
$$168$$ 0 0
$$169$$ 2.20340e9 0.207780
$$170$$ 2.80538e7 4.85905e7i 0.00257615 0.00446202i
$$171$$ 2.52541e9 + 4.37413e9i 0.225865 + 0.391209i
$$172$$ −3.52264e9 6.10138e9i −0.306895 0.531558i
$$173$$ −1.61562e9 + 2.79834e9i −0.137130 + 0.237516i −0.926409 0.376518i $$-0.877121\pi$$
0.789279 + 0.614035i $$0.210455\pi$$
$$174$$ 1.51173e8 0.0125026
$$175$$ 0 0
$$176$$ −3.54891e9 −0.278797
$$177$$ −4.21529e8 + 7.30109e8i −0.0322810 + 0.0559124i
$$178$$ −3.75634e9 6.50617e9i −0.280462 0.485775i
$$179$$ 1.20704e10 + 2.09065e10i 0.878785 + 1.52210i 0.852675 + 0.522441i $$0.174979\pi$$
0.0261099 + 0.999659i $$0.491688\pi$$
$$180$$ 1.40830e9 2.43924e9i 0.0999926 0.173192i
$$181$$ −3.89332e9 −0.269629 −0.134814 0.990871i $$-0.543044\pi$$
−0.134814 + 0.990871i $$0.543044\pi$$
$$182$$ 0 0
$$183$$ 1.21778e9 0.0802674
$$184$$ −5.44768e8 + 9.43566e8i −0.0350374 + 0.0606865i
$$185$$ 3.34495e9 + 5.79362e9i 0.209950 + 0.363645i
$$186$$ 2.22599e8 + 3.85553e8i 0.0136369 + 0.0236198i
$$187$$ 1.69550e8 2.93669e8i 0.0101394 0.0175619i
$$188$$ 1.35495e10 0.791068
$$189$$ 0 0
$$190$$ −2.30342e9 −0.128228
$$191$$ 1.29494e10 2.24290e10i 0.704043 1.21944i −0.262993 0.964798i $$-0.584710\pi$$
0.967036 0.254641i $$-0.0819571\pi$$
$$192$$ 5.03316e7 + 8.71770e7i 0.00267292 + 0.00462963i
$$193$$ −7.96837e9 1.38016e10i −0.413391 0.716015i 0.581867 0.813284i $$-0.302323\pi$$
−0.995258 + 0.0972694i $$0.968989\pi$$
$$194$$ −6.98001e9 + 1.20897e10i −0.353792 + 0.612786i
$$195$$ 3.80258e8 0.0188331
$$196$$ 0 0
$$197$$ −3.34685e9 −0.158321 −0.0791604 0.996862i $$-0.525224\pi$$
−0.0791604 + 0.996862i $$0.525224\pi$$
$$198$$ 8.51139e9 1.47422e10i 0.393557 0.681660i
$$199$$ 6.71304e9 + 1.16273e10i 0.303445 + 0.525583i 0.976914 0.213633i $$-0.0685297\pi$$
−0.673469 + 0.739216i $$0.735196\pi$$
$$200$$ −3.35775e9 5.81579e9i −0.148393 0.257024i
$$201$$ 4.61204e8 7.98828e8i 0.0199301 0.0345200i
$$202$$ 1.93442e10 0.817467
$$203$$ 0 0
$$204$$ −9.61843e6 −0.000388838
$$205$$ −6.13456e9 + 1.06254e10i −0.242600 + 0.420195i
$$206$$ 5.52450e9 + 9.56872e9i 0.213742 + 0.370213i
$$207$$ −2.61305e9 4.52594e9i −0.0989194 0.171333i
$$208$$ 3.70842e9 6.42317e9i 0.137374 0.237938i
$$209$$ −1.39213e10 −0.504686
$$210$$ 0 0
$$211$$ 3.01702e10 1.04787 0.523935 0.851759i $$-0.324464\pi$$
0.523935 + 0.851759i $$0.324464\pi$$
$$212$$ −2.07632e9 + 3.59629e9i −0.0705963 + 0.122276i
$$213$$ 8.38968e8 + 1.45313e9i 0.0279278 + 0.0483724i
$$214$$ 1.43599e9 + 2.48722e9i 0.0468049 + 0.0810684i
$$215$$ −7.70577e9 + 1.33468e10i −0.245948 + 0.425994i
$$216$$ −9.66574e8 −0.0302130
$$217$$ 0 0
$$218$$ 2.56577e10 0.769421
$$219$$ −1.21207e9 + 2.09936e9i −0.0356064 + 0.0616722i
$$220$$ 3.88162e9 + 6.72316e9i 0.111715 + 0.193496i
$$221$$ 3.54342e8 + 6.13738e8i 0.00999210 + 0.0173068i
$$222$$ 5.73419e8 9.93192e8i 0.0158447 0.0274438i
$$223$$ 5.35030e10 1.44879 0.724396 0.689384i $$-0.242119\pi$$
0.724396 + 0.689384i $$0.242119\pi$$
$$224$$ 0 0
$$225$$ 3.22117e10 0.837901
$$226$$ 1.14228e10 1.97849e10i 0.291263 0.504482i
$$227$$ 2.01352e10 + 3.48752e10i 0.503315 + 0.871766i 0.999993 + 0.00383159i $$0.00121964\pi$$
−0.496678 + 0.867935i $$0.665447\pi$$
$$228$$ 1.97436e8 + 3.41969e8i 0.00483860 + 0.00838069i
$$229$$ −9.51236e9 + 1.64759e10i −0.228575 + 0.395903i −0.957386 0.288812i $$-0.906740\pi$$
0.728811 + 0.684715i $$0.240073\pi$$
$$230$$ 2.38336e9 0.0561584
$$231$$ 0 0
$$232$$ −6.45003e9 −0.146173
$$233$$ 1.83874e10 3.18479e10i 0.408713 0.707911i −0.586033 0.810287i $$-0.699311\pi$$
0.994746 + 0.102376i $$0.0326444\pi$$
$$234$$ 1.77879e10 + 3.08096e10i 0.387841 + 0.671761i
$$235$$ −1.48198e10 2.56686e10i −0.316984 0.549032i
$$236$$ 1.79852e10 3.11513e10i 0.377409 0.653691i
$$237$$ 7.84139e8 0.0161445
$$238$$ 0 0
$$239$$ 6.56110e9 0.130073 0.0650363 0.997883i $$-0.479284\pi$$
0.0650363 + 0.997883i $$0.479284\pi$$
$$240$$ 1.10100e8 1.90700e8i 0.00214209 0.00371022i
$$241$$ 4.48409e10 + 7.76667e10i 0.856244 + 1.48306i 0.875486 + 0.483243i $$0.160541\pi$$
−0.0192424 + 0.999815i $$0.506125\pi$$
$$242$$ 4.59593e9 + 7.96039e9i 0.0861399 + 0.149199i
$$243$$ 3.47829e9 6.02457e9i 0.0639937 0.110840i
$$244$$ −5.19587e10 −0.938434
$$245$$ 0 0
$$246$$ 2.10328e9 0.0366175
$$247$$ 1.45470e10 2.51962e10i 0.248678 0.430723i
$$248$$ −9.49757e9 1.64503e10i −0.159434 0.276147i
$$249$$ 1.26040e9 + 2.18308e9i 0.0207784 + 0.0359892i
$$250$$ −1.60951e10 + 2.78775e10i −0.260593 + 0.451360i
$$251$$ 5.33703e9 0.0848727 0.0424363 0.999099i $$-0.486488\pi$$
0.0424363 + 0.999099i $$0.486488\pi$$
$$252$$ 0 0
$$253$$ 1.44044e10 0.221031
$$254$$ −1.88698e10 + 3.26835e10i −0.284457 + 0.492693i
$$255$$ 1.05202e7 + 1.82215e7i 0.000155809 + 0.000269868i
$$256$$ −2.14748e9 3.71955e9i −0.0312500 0.0541266i
$$257$$ 4.17788e10 7.23630e10i 0.597388 1.03471i −0.395817 0.918329i $$-0.629539\pi$$
0.993205 0.116377i $$-0.0371282\pi$$
$$258$$ 2.64198e9 0.0371228
$$259$$ 0 0
$$260$$ −1.62243e10 −0.220185
$$261$$ 1.54692e10 2.67934e10i 0.206341 0.357393i
$$262$$ 4.81332e9 + 8.33692e9i 0.0631087 + 0.109307i
$$263$$ −5.43174e10 9.40806e10i −0.700065 1.21255i −0.968443 0.249235i $$-0.919821\pi$$
0.268378 0.963314i $$-0.413512\pi$$
$$264$$ 6.65420e8 1.15254e9i 0.00843098 0.0146029i
$$265$$ 9.08388e9 0.113153
$$266$$ 0 0
$$267$$ 2.81725e9 0.0339254
$$268$$ −1.96780e10 + 3.40833e10i −0.233010 + 0.403586i
$$269$$ −7.07003e10 1.22456e11i −0.823258 1.42592i −0.903244 0.429128i $$-0.858821\pi$$
0.0799860 0.996796i $$-0.474512\pi$$
$$270$$ 1.05719e9 + 1.83111e9i 0.0121064 + 0.0209690i
$$271$$ 4.54176e10 7.86657e10i 0.511520 0.885979i −0.488391 0.872625i $$-0.662416\pi$$
0.999911 0.0133539i $$-0.00425079\pi$$
$$272$$ 4.10386e8 0.00454604
$$273$$ 0 0
$$274$$ 8.25614e10 0.884911
$$275$$ −4.43918e10 + 7.68888e10i −0.468064 + 0.810711i
$$276$$ −2.04288e8 3.53837e8i −0.00211910 0.00367039i
$$277$$ 1.32538e10 + 2.29562e10i 0.135263 + 0.234283i 0.925698 0.378263i $$-0.123479\pi$$
−0.790435 + 0.612546i $$0.790145\pi$$
$$278$$ −5.71485e10 + 9.89841e10i −0.573857 + 0.993949i
$$279$$ 9.11126e10 0.900243
$$280$$ 0 0
$$281$$ −1.86968e11 −1.78891 −0.894455 0.447158i $$-0.852436\pi$$
−0.894455 + 0.447158i $$0.852436\pi$$
$$282$$ −2.54054e9 + 4.40034e9i −0.0239224 + 0.0414348i
$$283$$ 2.66706e9 + 4.61949e9i 0.0247169 + 0.0428110i 0.878119 0.478442i $$-0.158798\pi$$
−0.853402 + 0.521253i $$0.825465\pi$$
$$284$$ −3.57960e10 6.20004e10i −0.326514 0.565538i
$$285$$ 4.31891e8 7.48057e8i 0.00387768 0.00671634i
$$286$$ −9.80558e10 −0.866615
$$287$$ 0 0
$$288$$ 2.06014e10 0.176453
$$289$$ 5.92743e10 1.02666e11i 0.499835 0.865739i
$$290$$ 7.05472e9 + 1.22191e10i 0.0585718 + 0.101449i
$$291$$ −2.61751e9 4.53365e9i −0.0213978 0.0370621i
$$292$$ 5.17149e10 8.95729e10i 0.416287 0.721031i
$$293$$ 7.65433e10 0.606741 0.303370 0.952873i $$-0.401888\pi$$
0.303370 + 0.952873i $$0.401888\pi$$
$$294$$ 0 0
$$295$$ −7.86854e10 −0.604916
$$296$$ −2.44659e10 + 4.23762e10i −0.185246 + 0.320855i
$$297$$ 6.38939e9 + 1.10668e10i 0.0476492 + 0.0825308i
$$298$$ 7.28339e10 + 1.26152e11i 0.535008 + 0.926662i
$$299$$ −1.50519e10 + 2.60706e10i −0.108911 + 0.188639i
$$300$$ 2.51831e9 0.0179500
$$301$$ 0 0
$$302$$ 4.63091e9 0.0320358
$$303$$ −3.62704e9 + 6.28223e9i −0.0247207 + 0.0428175i
$$304$$ −8.42393e9 1.45907e10i −0.0565697 0.0979816i
$$305$$ 5.68298e10 + 9.84321e10i 0.376034 + 0.651310i
$$306$$ −9.84236e8 + 1.70475e9i −0.00641731 + 0.0111151i
$$307$$ −7.51944e10 −0.483128 −0.241564 0.970385i $$-0.577660\pi$$
−0.241564 + 0.970385i $$0.577660\pi$$
$$308$$ 0 0
$$309$$ −4.14338e9 −0.0258548
$$310$$ −2.07759e10 + 3.59850e10i −0.127771 + 0.221306i
$$311$$ −1.07567e11 1.86311e11i −0.652014 1.12932i −0.982633 0.185558i $$-0.940591\pi$$
0.330619 0.943764i $$-0.392743\pi$$
$$312$$ 1.39066e9 + 2.40869e9i 0.00830854 + 0.0143908i
$$313$$ −4.79537e10 + 8.30583e10i −0.282405 + 0.489140i −0.971977 0.235077i $$-0.924466\pi$$
0.689571 + 0.724218i $$0.257799\pi$$
$$314$$ −2.22508e11 −1.29170
$$315$$ 0 0
$$316$$ −3.34566e10 −0.188751
$$317$$ −8.52932e10 + 1.47732e11i −0.474403 + 0.821691i −0.999570 0.0293083i $$-0.990670\pi$$
0.525167 + 0.850999i $$0.324003\pi$$
$$318$$ −7.78619e8 1.34861e9i −0.00426975 0.00739543i
$$319$$ 4.26370e10 + 7.38494e10i 0.230530 + 0.399290i
$$320$$ −4.69762e9 + 8.13652e9i −0.0250440 + 0.0433774i
$$321$$ −1.07700e9 −0.00566163
$$322$$ 0 0
$$323$$ 1.60982e9 0.00822937
$$324$$ −4.93179e10 + 8.54211e10i −0.248629 + 0.430638i
$$325$$ −9.27742e10 1.60690e11i −0.461266 0.798937i
$$326$$ 1.32986e11 + 2.30338e11i 0.652119 + 1.12950i
$$327$$ −4.81083e9 + 8.33259e9i −0.0232678 + 0.0403010i
$$328$$ −8.97398e10 −0.428107
$$329$$ 0 0
$$330$$ −2.91121e9 −0.0135133
$$331$$ 6.19958e10 1.07380e11i 0.283881 0.491697i −0.688456 0.725278i $$-0.741711\pi$$
0.972337 + 0.233581i $$0.0750445\pi$$
$$332$$ −5.37772e10 9.31448e10i −0.242927 0.420763i
$$333$$ −1.17354e11 2.03263e11i −0.522996 0.905856i
$$334$$ −1.26416e11 + 2.18958e11i −0.555829 + 0.962724i
$$335$$ 8.60914e10 0.373472
$$336$$ 0 0
$$337$$ −7.29335e10 −0.308030 −0.154015 0.988069i $$-0.549220\pi$$
−0.154015 + 0.988069i $$0.549220\pi$$
$$338$$ 1.76272e10 3.05312e10i 0.0734613 0.127239i
$$339$$ 4.28355e9 + 7.41933e9i 0.0176159 + 0.0305117i
$$340$$ −4.48860e8 7.77449e8i −0.00182161 0.00315512i
$$341$$ −1.25565e11 + 2.17484e11i −0.502889 + 0.871029i
$$342$$ 8.08130e10 0.319421
$$343$$ 0 0
$$344$$ −1.12724e11 −0.434015
$$345$$ −4.46880e8 + 7.74019e8i −0.00169826 + 0.00294148i
$$346$$ 2.58500e10 + 4.47735e10i 0.0969657 + 0.167949i
$$347$$ 7.78602e10 + 1.34858e11i 0.288292 + 0.499337i 0.973402 0.229103i $$-0.0735792\pi$$
−0.685110 + 0.728440i $$0.740246\pi$$
$$348$$ 1.20938e9 2.09471e9i 0.00442035 0.00765626i
$$349$$ 1.08728e11 0.392310 0.196155 0.980573i $$-0.437154\pi$$
0.196155 + 0.980573i $$0.437154\pi$$
$$350$$ 0 0
$$351$$ −2.67063e10 −0.0939144
$$352$$ −2.83912e10 + 4.91751e10i −0.0985695 + 0.170727i
$$353$$ −1.62793e11 2.81965e11i −0.558018 0.966516i −0.997662 0.0683436i $$-0.978229\pi$$
0.439644 0.898172i $$-0.355105\pi$$
$$354$$ 6.74446e9 + 1.16818e10i 0.0228261 + 0.0395360i
$$355$$ −7.83037e10 + 1.35626e11i −0.261670 + 0.453226i
$$356$$ −1.20203e11 −0.396634
$$357$$ 0 0
$$358$$ 3.86252e11 1.24279
$$359$$ 1.13775e11 1.97064e11i 0.361511 0.626155i −0.626699 0.779261i $$-0.715594\pi$$
0.988210 + 0.153106i $$0.0489277\pi$$
$$360$$ −2.25328e10 3.90279e10i −0.0707055 0.122465i
$$361$$ 1.28299e11 + 2.22221e11i 0.397596 + 0.688656i
$$362$$ −3.11465e10 + 5.39474e10i −0.0953282 + 0.165113i
$$363$$ −3.44695e9 −0.0104197
$$364$$ 0 0
$$365$$ −2.26253e11 −0.667231
$$366$$ 9.74225e9 1.68741e10i 0.0283788 0.0491536i
$$367$$ 2.10996e11 + 3.65457e11i 0.607125 + 1.05157i 0.991712 + 0.128482i $$0.0410105\pi$$
−0.384587 + 0.923089i $$0.625656\pi$$
$$368$$ 8.71629e9 + 1.50971e10i 0.0247752 + 0.0429118i
$$369$$ 2.15224e11 3.72779e11i 0.604328 1.04673i
$$370$$ 1.07038e11 0.296915
$$371$$ 0 0
$$372$$ 7.12318e9 0.0192855
$$373$$ −1.91642e11 + 3.31933e11i −0.512625 + 0.887893i 0.487268 + 0.873253i $$0.337994\pi$$
−0.999893 + 0.0146401i $$0.995340\pi$$
$$374$$ −2.71280e9 4.69870e9i −0.00716961 0.0124181i
$$375$$ −6.03565e9 1.04541e10i −0.0157610 0.0272988i
$$376$$ 1.08396e11 1.87748e11i 0.279685 0.484428i
$$377$$ −1.78214e11 −0.454365
$$378$$ 0 0
$$379$$ −1.21462e11 −0.302386 −0.151193 0.988504i $$-0.548312\pi$$
−0.151193 + 0.988504i $$0.548312\pi$$
$$380$$ −1.84274e10 + 3.19171e10i −0.0453353 + 0.0785231i
$$381$$ −7.07618e9 1.22563e10i −0.0172043 0.0297987i
$$382$$ −2.07190e11 3.58864e11i −0.497834 0.862273i
$$383$$ 1.98860e11 3.44436e11i 0.472230 0.817927i −0.527265 0.849701i $$-0.676782\pi$$
0.999495 + 0.0317740i $$0.0101157\pi$$
$$384$$ 1.61061e9 0.00378008
$$385$$ 0 0
$$386$$ −2.54988e11 −0.584624
$$387$$ 2.70349e11 4.68257e11i 0.612667 1.06117i
$$388$$ 1.11680e11 + 1.93436e11i 0.250169 + 0.433305i
$$389$$ −3.37731e10 5.84968e10i −0.0747821 0.129526i 0.826209 0.563363i $$-0.190493\pi$$
−0.900992 + 0.433837i $$0.857159\pi$$
$$390$$ 3.04206e9 5.26901e9i 0.00665852 0.0115329i
$$391$$ −1.66569e9 −0.00360412
$$392$$ 0 0
$$393$$ −3.60999e9 −0.00763378
$$394$$ −2.67748e10 + 4.63753e10i −0.0559748 + 0.0969512i
$$395$$ 3.65931e10 + 6.33812e10i 0.0756333 + 0.131001i
$$396$$ −1.36182e11 2.35875e11i −0.278287 0.482007i
$$397$$ −6.23278e10 + 1.07955e11i −0.125929 + 0.218115i −0.922096 0.386962i $$-0.873524\pi$$
0.796167 + 0.605077i $$0.206858\pi$$
$$398$$ 2.14817e11 0.429136
$$399$$ 0 0
$$400$$ −1.07448e11 −0.209859
$$401$$ −1.75598e11 + 3.04144e11i −0.339133 + 0.587395i −0.984270 0.176672i $$-0.943467\pi$$
0.645137 + 0.764067i $$0.276800\pi$$
$$402$$ −7.37926e9 1.27813e10i −0.0140927 0.0244093i
$$403$$ −2.62417e11 4.54519e11i −0.495586 0.858380i
$$404$$ 1.54754e11 2.68042e11i 0.289018 0.500594i
$$405$$ 2.15766e11 0.398506
$$406$$ 0 0
$$407$$ 6.46913e11 1.16861
$$408$$ −7.69475e7 + 1.33277e8i −0.000137475 + 0.000238114i
$$409$$ 1.90978e10 + 3.30784e10i 0.0337465 + 0.0584506i 0.882405 0.470490i $$-0.155923\pi$$
−0.848659 + 0.528941i $$0.822589\pi$$
$$410$$ 9.81529e10 + 1.70006e11i 0.171544 + 0.297123i
$$411$$ −1.54803e10 + 2.68126e10i −0.0267602 + 0.0463501i
$$412$$ 1.76784e11 0.302277
$$413$$ 0 0
$$414$$ −8.36176e10 −0.139893
$$415$$ −1.17638e11 + 2.03754e11i −0.194684 + 0.337202i
$$416$$ −5.93347e10 1.02771e11i −0.0971379 0.168248i
$$417$$ −2.14307e10 3.71190e10i −0.0347075 0.0601152i
$$418$$ −1.11370e11 + 1.92899e11i −0.178433 + 0.309056i
$$419$$ 2.15268e11 0.341205 0.170603 0.985340i $$-0.445429\pi$$
0.170603 + 0.985340i $$0.445429\pi$$
$$420$$ 0 0
$$421$$ 1.19933e12 1.86066 0.930332 0.366718i $$-0.119519\pi$$
0.930332 + 0.366718i $$0.119519\pi$$
$$422$$ 2.41362e11 4.18050e11i 0.370478 0.641686i
$$423$$ 5.19937e11 + 9.00557e11i 0.789621 + 1.36766i
$$424$$ 3.32211e10 + 5.75406e10i 0.0499191 + 0.0864625i
$$425$$ 5.13335e9 8.89123e9i 0.00763222 0.0132194i
$$426$$ 2.68470e10 0.0394959
$$427$$ 0 0
$$428$$ 4.59518e10 0.0661921
$$429$$ 1.83855e10 3.18446e10i 0.0262070 0.0453918i
$$430$$ 1.23292e11 + 2.13548e11i 0.173911 + 0.301223i
$$431$$ −3.95559e11 6.85128e11i −0.552158 0.956365i −0.998119 0.0613129i $$-0.980471\pi$$
0.445961 0.895052i $$-0.352862\pi$$
$$432$$ −7.73259e9 + 1.33932e10i −0.0106819 + 0.0185016i
$$433$$ −1.15451e12 −1.57834 −0.789170 0.614174i $$-0.789489\pi$$
−0.789170 + 0.614174i $$0.789489\pi$$
$$434$$ 0 0
$$435$$ −5.29104e9 −0.00708499
$$436$$ 2.05262e11 3.55524e11i 0.272031 0.471172i
$$437$$ 3.41914e10 + 5.92212e10i 0.0448487 + 0.0776803i
$$438$$ 1.93931e10 + 3.35898e10i 0.0251776 + 0.0436088i
$$439$$ 1.06364e11 1.84228e11i 0.136680 0.236737i −0.789558 0.613676i $$-0.789690\pi$$
0.926238 + 0.376939i $$0.123023\pi$$
$$440$$ 1.24212e11 0.157988
$$441$$ 0 0
$$442$$ 1.13389e10 0.0141310
$$443$$ 3.24150e10 5.61444e10i 0.0399880 0.0692612i −0.845339 0.534231i $$-0.820601\pi$$
0.885327 + 0.464969i $$0.153935\pi$$
$$444$$ −9.17471e9 1.58911e10i −0.0112039 0.0194057i
$$445$$ 1.31472e11 + 2.27716e11i 0.158933 + 0.275279i
$$446$$ 4.28024e11 7.41359e11i 0.512225 0.887200i
$$447$$ −5.46255e10 −0.0647159
$$448$$ 0 0
$$449$$ −1.08031e12 −1.25441 −0.627207 0.778853i $$-0.715802\pi$$
−0.627207 + 0.778853i $$0.715802\pi$$
$$450$$ 2.57694e11 4.46339e11i 0.296243 0.513108i
$$451$$ 5.93211e11 + 1.02747e12i 0.675173 + 1.16943i
$$452$$ −1.82765e11 3.16558e11i −0.205954 0.356722i
$$453$$ −8.68296e8 + 1.50393e9i −0.000968782 + 0.00167798i
$$454$$ 6.44326e11 0.711794
$$455$$ 0 0
$$456$$ 6.31795e9 0.00684281
$$457$$ 3.23363e10 5.60081e10i 0.0346790 0.0600658i −0.848165 0.529732i $$-0.822292\pi$$
0.882844 + 0.469666i $$0.155626\pi$$
$$458$$ 1.52198e11 + 2.63614e11i 0.161627 + 0.279946i
$$459$$ −7.38853e8 1.27973e9i −0.000776965 0.00134574i
$$460$$ 1.90669e10 3.30248e10i 0.0198550 0.0343898i
$$461$$ 4.29254e11 0.442649 0.221325 0.975200i $$-0.428962\pi$$
0.221325 + 0.975200i $$0.428962\pi$$
$$462$$ 0 0
$$463$$ 1.61883e12 1.63715 0.818574 0.574401i $$-0.194765\pi$$
0.818574 + 0.574401i $$0.194765\pi$$
$$464$$ −5.16002e10 + 8.93742e10i −0.0516798 + 0.0895120i
$$465$$ −7.79097e9 1.34944e10i −0.00772776 0.0133849i
$$466$$ −2.94198e11 5.09566e11i −0.289004 0.500569i
$$467$$ −1.63661e11 + 2.83468e11i −0.159228 + 0.275790i −0.934590 0.355726i $$-0.884234\pi$$
0.775363 + 0.631516i $$0.217567\pi$$
$$468$$ 5.69214e11 0.548490
$$469$$ 0 0
$$470$$ −4.74233e11 −0.448283
$$471$$ 4.17203e10 7.22617e10i 0.0390619 0.0676573i
$$472$$ −2.87764e11 4.98421e11i −0.266868 0.462229i
$$473$$ 7.45148e11 + 1.29063e12i 0.684490 + 1.18557i
$$474$$ 6.27311e9 1.08653e10i 0.00570795 0.00988647i
$$475$$ −4.21486e11 −0.379893
$$476$$ 0 0
$$477$$ −3.18698e11 −0.281869
$$478$$ 5.24888e10 9.09132e10i 0.0459876 0.0796529i
$$479$$ −1.42406e11 2.46654e11i −0.123600 0.214081i 0.797585 0.603206i $$-0.206111\pi$$
−0.921185 + 0.389126i $$0.872777\pi$$
$$480$$ −1.76161e9 3.05119e9i −0.00151469 0.00262352i
$$481$$ −6.75990e11 + 1.17085e12i −0.575821 + 0.997351i
$$482$$ 1.43491e12 1.21091
$$483$$ 0 0
$$484$$ 1.47070e11 0.121820
$$485$$ 2.44300e11 4.23141e11i 0.200487 0.347254i
$$486$$ −5.56526e10 9.63931e10i −0.0452504 0.0783759i
$$487$$ 3.57388e11 + 6.19014e11i 0.287912 + 0.498678i 0.973311 0.229490i $$-0.0737057\pi$$
−0.685399 + 0.728167i $$0.740372\pi$$
$$488$$ −4.15669e11 + 7.19960e11i −0.331787 + 0.574671i
$$489$$ −9.97395e10 −0.0788819
$$490$$ 0 0
$$491$$ 1.01506e12 0.788176 0.394088 0.919073i $$-0.371061\pi$$
0.394088 + 0.919073i $$0.371061\pi$$
$$492$$ 1.68262e10 2.91438e10i 0.0129462 0.0224235i
$$493$$ −4.93043e9 8.53975e9i −0.00375901 0.00651080i
$$494$$ −2.32752e11 4.03139e11i −0.175842 0.304567i
$$495$$ −2.97899e11 + 5.15976e11i −0.223021 + 0.386283i
$$496$$ −3.03922e11 −0.225473
$$497$$ 0 0
$$498$$ 4.03329e10 0.0293851
$$499$$ −6.67062e11 + 1.15539e12i −0.481630 + 0.834208i −0.999778 0.0210833i $$-0.993288\pi$$
0.518148 + 0.855291i $$0.326622\pi$$
$$500$$ 2.57521e11 + 4.46040e11i 0.184267 + 0.319160i
$$501$$ −4.74058e10 8.21093e10i −0.0336172 0.0582267i
$$502$$ 4.26962e10 7.39520e10i 0.0300070 0.0519737i
$$503$$ −5.68445e11 −0.395943 −0.197971 0.980208i $$-0.563435\pi$$
−0.197971 + 0.980208i $$0.563435\pi$$
$$504$$ 0 0
$$505$$ −6.77048e11 −0.463243
$$506$$ 1.15235e11 1.99594e11i 0.0781464 0.135353i
$$507$$ 6.61021e9 + 1.14492e10i 0.00444303 + 0.00769555i
$$508$$ 3.01917e11 + 5.22936e11i 0.201141 + 0.348387i
$$509$$ −1.78586e11 + 3.09321e11i −0.117928 + 0.204258i −0.918947 0.394382i $$-0.870959\pi$$
0.801018 + 0.598640i $$0.204292\pi$$
$$510$$ 3.36645e8 0.000220347
$$511$$ 0 0
$$512$$ −6.87195e10 −0.0441942
$$513$$ −3.03326e10 + 5.25377e10i −0.0193367 + 0.0334921i
$$514$$ −6.68460e11 1.15781e12i −0.422417 0.731648i
$$515$$ −1.93358e11 3.34905e11i −0.121124 0.209792i
$$516$$ 2.11358e10 3.66083e10i 0.0131249 0.0227330i
$$517$$ −2.86615e12 −1.76438
$$518$$ 0 0
$$519$$ −1.93875e10 −0.0117292
$$520$$ −1.29795e11 + 2.24811e11i −0.0778470 + 0.134835i
$$521$$ −1.08986e12 1.88770e12i −0.648040 1.12244i −0.983590 0.180416i $$-0.942256\pi$$
0.335550 0.942022i $$-0.391078\pi$$
$$522$$ −2.47507e11 4.28695e11i −0.145905 0.252715i
$$523$$ 7.85404e11 1.36036e12i 0.459024 0.795053i −0.539885 0.841738i $$-0.681532\pi$$
0.998910 + 0.0466853i $$0.0148658\pi$$
$$524$$ 1.54026e11 0.0892492
$$525$$ 0 0
$$526$$ −1.73816e12 −0.990042
$$527$$ 1.45200e10 2.51493e10i 0.00820007 0.0142029i
$$528$$ −1.06467e10 1.84407e10i −0.00596160 0.0103258i
$$529$$ 8.65198e11 + 1.49857e12i 0.480358 + 0.832005i
$$530$$ 7.26711e10 1.25870e11i 0.0400055 0.0692916i
$$531$$ 2.76059e12 1.50687
$$532$$ 0 0
$$533$$ −2.47950e12 −1.33074
$$534$$ 2.25380e10 3.90370e10i 0.0119945 0.0207750i
$$535$$ −5.02598e10 8.70526e10i −0.0265234 0.0459399i
$$536$$ 3.14848e11 + 5.45333e11i 0.164763 + 0.285378i
$$537$$ −7.24223e10 + 1.25439e11i −0.0375827 + 0.0650952i
$$538$$ −2.26241e12 −1.16426
$$539$$ 0 0
$$540$$ 3.38301e10 0.0171211
$$541$$ −1.12272e12 + 1.94460e12i −0.563486 + 0.975986i 0.433703 + 0.901056i $$0.357207\pi$$
−0.997189 + 0.0749302i $$0.976127\pi$$
$$542$$ −7.26682e11 1.25865e12i −0.361699 0.626482i
$$543$$ −1.16800e10 2.02303e10i −0.00576556 0.00998625i
$$544$$ 3.28309e9 5.68648e9i 0.00160727 0.00278387i
$$545$$ −8.98021e11 −0.436016
$$546$$ 0 0
$$547$$ −3.86062e11 −0.184380 −0.0921899 0.995741i $$-0.529387\pi$$
−0.0921899 + 0.995741i $$0.529387\pi$$
$$548$$ 6.60491e11 1.14400e12i 0.312863 0.541895i
$$549$$ −1.99381e12 3.45338e12i −0.936718 1.62244i
$$550$$ 7.10268e11 + 1.23022e12i 0.330971 + 0.573259i
$$551$$ −2.02412e11 + 3.50588e11i −0.0935523 + 0.162037i
$$552$$ −6.53722e9 −0.00299686
$$553$$ 0 0
$$554$$ 4.24120e11 0.191291
$$555$$ −2.00697e10 + 3.47617e10i −0.00897888 + 0.0155519i
$$556$$ 9.14376e11 + 1.58375e12i 0.405778 + 0.702828i
$$557$$ 3.97551e11 + 6.88578e11i 0.175003 + 0.303113i 0.940162 0.340727i $$-0.110673\pi$$
−0.765160 + 0.643841i $$0.777340\pi$$
$$558$$ 7.28901e11 1.26249e12i 0.318284 0.551284i
$$559$$ −3.11456e12 −1.34910
$$560$$ 0 0
$$561$$ 2.03460e9 0.000867253
$$562$$ −1.49574e12 + 2.59070e12i −0.632475 + 1.09548i
$$563$$ 1.06834e12 + 1.85041e12i 0.448146 + 0.776212i 0.998265 0.0588741i $$-0.0187511\pi$$
−0.550119 + 0.835086i $$0.685418\pi$$
$$564$$ 4.06486e10 + 7.04054e10i 0.0169157 + 0.0292988i
$$565$$ −3.99798e11 + 6.92471e11i −0.165053 + 0.285880i
$$566$$ 8.53460e10 0.0349550
$$567$$ 0 0
$$568$$ −1.14547e12 −0.461760
$$569$$ −1.08731e12 + 1.88327e12i −0.434857 + 0.753194i −0.997284 0.0736527i $$-0.976534\pi$$
0.562427 + 0.826847i $$0.309868\pi$$
$$570$$ −6.91026e9 1.19689e10i −0.00274194 0.00474917i
$$571$$ −4.97538e11 8.61760e11i −0.195868 0.339253i 0.751317 0.659942i $$-0.229419\pi$$
−0.947185 + 0.320689i $$0.896086\pi$$
$$572$$ −7.84447e11 + 1.35870e12i −0.306395 + 0.530691i
$$573$$ 1.55393e11 0.0602192
$$574$$ 0 0
$$575$$ 4.36114e11 0.166377
$$576$$ 1.64811e11 2.85461e11i 0.0623857 0.108055i
$$577$$ −2.15294e12 3.72900e12i −0.808614 1.40056i −0.913824 0.406110i $$-0.866885\pi$$
0.105211 0.994450i $$-0.466448\pi$$
$$578$$ −9.48389e11 1.64266e12i −0.353436 0.612170i
$$579$$ 4.78102e10 8.28097e10i 0.0176794 0.0306216i
$$580$$ 2.25751e11 0.0828331
$$581$$ 0 0
$$582$$ −8.37602e10 −0.0302611
$$583$$ 4.39206e11 7.60727e11i 0.157456 0.272722i
$$584$$ −8.27439e11 1.43317e12i −0.294359 0.509846i
$$585$$ −6.22577e11 1.07834e12i −0.219782 0.380673i
$$586$$ 6.12347e11 1.06062e12i 0.214515 0.371551i
$$587$$ 5.05762e12 1.75822 0.879112 0.476615i $$-0.158136\pi$$
0.879112 + 0.476615i $$0.158136\pi$$
$$588$$ 0 0
$$589$$ −1.19220e12 −0.408158
$$590$$ −6.29483e11 + 1.09030e12i −0.213870 + 0.370434i
$$591$$ −1.00405e10 1.73907e10i −0.00338543 0.00586373i
$$592$$ 3.91454e11 + 6.78019e11i 0.130989 + 0.226879i
$$593$$ 1.40150e12 2.42747e12i 0.465422 0.806135i −0.533798 0.845612i $$-0.679236\pi$$
0.999220 + 0.0394771i $$0.0125692\pi$$
$$594$$ 2.04461e11 0.0673862
$$595$$ 0 0
$$596$$ 2.33069e12 0.756616
$$597$$ −4.02782e10 + 6.97640e10i −0.0129773 + 0.0224774i
$$598$$ 2.40830e11 + 4.17130e11i 0.0770114 + 0.133388i
$$599$$ −1.60454e12 2.77914e12i −0.509247 0.882042i −0.999943 0.0107108i $$-0.996591\pi$$
0.490696 0.871331i $$-0.336743\pi$$
$$600$$ 2.01465e10 3.48947e10i 0.00634627 0.0109921i
$$601$$ 7.49502e11 0.234335 0.117168 0.993112i $$-0.462619\pi$$
0.117168 + 0.993112i $$0.462619\pi$$
$$602$$ 0 0
$$603$$ −3.02042e12 −0.930336
$$604$$ 3.70473e10 6.41678e10i 0.0113264 0.0196178i
$$605$$ −1.60858e11 2.78614e11i −0.0488138 0.0845479i
$$606$$ 5.80327e10 + 1.00516e11i 0.0174802 + 0.0302766i
$$607$$ 8.70485e11 1.50772e12i 0.260263 0.450789i −0.706049 0.708163i $$-0.749524\pi$$
0.966312 + 0.257375i $$0.0828574\pi$$
$$608$$ −2.69566e11 −0.0800016
$$609$$ 0 0
$$610$$ 1.81855e12 0.531792
$$611$$ 2.99497e12 5.18745e12i 0.869376 1.50580i
$$612$$ 1.57478e10 + 2.72760e10i 0.00453772 + 0.00785956i
$$613$$ 2.01989e12 + 3.49854e12i 0.577770 + 1.00073i 0.995735 + 0.0922632i $$0.0294101\pi$$
−0.417965 + 0.908463i $$0.637257\pi$$
$$614$$ −6.01555e11 + 1.04192e12i −0.170812 + 0.295855i
$$615$$ −7.36147e10 −0.0207504
$$616$$ 0 0
$$617$$ −2.93367e12 −0.814945 −0.407472 0.913218i $$-0.633590\pi$$
−0.407472 + 0.913218i $$0.633590\pi$$
$$618$$ −3.31470e10 + 5.74123e10i −0.00914105 + 0.0158328i
$$619$$ 2.88846e12 + 5.00295e12i 0.790784 + 1.36968i 0.925482 + 0.378792i $$0.123660\pi$$
−0.134698 + 0.990887i $$0.543006\pi$$
$$620$$ 3.32415e11 + 5.75759e11i 0.0903478 + 0.156487i
$$621$$ 3.13853e10 5.43610e10i 0.00846866 0.0146681i
$$622$$ −3.44214e12 −0.922088
$$623$$ 0 0
$$624$$ 4.45010e10 0.0117500
$$625$$ −1.03777e12 + 1.79747e12i −0.272045 + 0.471197i
$$626$$ 7.67260e11 + 1.32893e12i 0.199691 + 0.345874i
$$627$$ −4.17639e10 7.23371e10i −0.0107919 0.0186921i
$$628$$ −1.78007e12 + 3.08317e12i −0.456686 + 0.791004i
$$629$$ −7.48073e10 −0.0190553
$$630$$ 0 0
$$631$$ 3.99985e12 1.00441 0.502206 0.864748i $$-0.332522\pi$$
0.502206 + 0.864748i $$0.332522\pi$$
$$632$$ −2.67653e11 + 4.63588e11i −0.0667336 + 0.115586i
$$633$$ 9.05106e10 + 1.56769e11i 0.0224069 + 0.0388100i
$$634$$ 1.36469e12 + 2.36372e12i 0.335454 + 0.581023i
$$635$$ 6.60444e11 1.14392e12i 0.161196 0.279200i
$$636$$ −2.49158e10 −0.00603834
$$637$$ 0 0
$$638$$ 1.36438e12 0.326019
$$639$$ 2.74720e12 4.75829e12i 0.651833 1.12901i
$$640$$ 7.51619e10 + 1.30184e11i 0.0177088 + 0.0306725i
$$641$$ −2.34164e12 4.05584e12i −0.547846 0.948898i −0.998422 0.0561595i $$-0.982114\pi$$
0.450575 0.892738i $$-0.351219\pi$$
$$642$$ −8.61597e9 + 1.49233e10i −0.00200169 + 0.00346703i
$$643$$ −1.54877e12 −0.357304 −0.178652 0.983912i $$-0.557174\pi$$
−0.178652 + 0.983912i $$0.557174\pi$$
$$644$$ 0 0
$$645$$ −9.24692e10 −0.0210367
$$646$$ 1.28786e10 2.23064e10i 0.00290952 0.00503944i
$$647$$ 4.07246e12 + 7.05372e12i 0.913667 + 1.58252i 0.808841 + 0.588028i $$0.200095\pi$$
0.104826 + 0.994491i $$0.466571\pi$$
$$648$$ 7.89086e11 + 1.36674e12i 0.175807 + 0.304507i
$$649$$ −3.80444e12 + 6.58948e12i −0.841762 + 1.45797i
$$650$$ −2.96877e12 −0.652329
$$651$$ 0 0
$$652$$ 4.25555e12 0.922235
$$653$$ 1.44463e12 2.50216e12i 0.310918 0.538526i −0.667643 0.744481i $$-0.732697\pi$$
0.978561 + 0.205955i $$0.0660302\pi$$
$$654$$ 7.69732e10 + 1.33322e11i 0.0164528 + 0.0284971i
$$655$$ −1.68466e11 2.91792e11i −0.0357624 0.0619424i
$$656$$ −7.17918e11 + 1.24347e12i −0.151359 + 0.262161i
$$657$$ 7.93784e12 1.66210
$$658$$ 0 0
$$659$$ 5.20255e12 1.07456 0.537281 0.843403i $$-0.319451\pi$$
0.537281 + 0.843403i $$0.319451\pi$$
$$660$$ −2.32897e10 + 4.03389e10i −0.00477767 + 0.00827517i
$$661$$ −1.44486e12 2.50258e12i −0.294388 0.509896i 0.680454 0.732791i $$-0.261783\pi$$
−0.974842 + 0.222895i $$0.928449\pi$$
$$662$$ −9.91933e11 1.71808e12i −0.200734 0.347682i
$$663$$ −2.12605e9 + 3.68243e9i −0.000427329 + 0.000740156i
$$664$$ −1.72087e12 −0.343551
$$665$$ 0 0
$$666$$ −3.75532e12 −0.739628
$$667$$ 2.09437e11 3.62755e11i 0.0409720 0.0709656i
$$668$$ 2.02265e12 + 3.50333e12i 0.393031 + 0.680749i
$$669$$ 1.60509e11 + 2.78009e11i 0.0309800 + 0.0536589i
$$670$$ 6.88731e11 1.19292e12i 0.132042 0.228704i
$$671$$ 1.09909e13 2.09306
$$672$$ 0 0
$$673$$ 9.46362e12 1.77824 0.889119 0.457677i $$-0.151318\pi$$
0.889119 + 0.457677i $$0.151318\pi$$
$$674$$ −5.83468e11 + 1.01060e12i −0.108905 + 0.188629i
$$675$$ 1.93448e11 + 3.35061e11i 0.0358671 + 0.0621236i
$$676$$ −2.82035e11 4.88500e11i −0.0519450 0.0899714i
$$677$$ 3.26134e12 5.64881e12i 0.596688 1.03349i −0.396619 0.917983i $$-0.629817\pi$$
0.993306 0.115510i $$-0.0368502\pi$$
$$678$$ 1.37074e11 0.0249127
$$679$$ 0 0
$$680$$ −1.43635e10 −0.00257615
$$681$$ −1.20811e11 + 2.09251e11i −0.0215251 + 0.0372826i
$$682$$ 2.00903e12 + 3.47975e12i 0.355596 + 0.615911i
$$683$$ −2.68620e12 4.65264e12i −0.472330 0.818099i 0.527169 0.849761i $$-0.323254\pi$$
−0.999499 + 0.0316613i $$0.989920\pi$$
$$684$$ 6.46504e11 1.11978e12i 0.112932 0.195605i
$$685$$ −2.88965e12 −0.501461
$$686$$ 0 0
$$687$$ −1.14148e11 −0.0195508
$$688$$ −9.01795e11 + 1.56195e12i −0.153447 + 0.265779i
$$689$$ 9.17894e11 + 1.58984e12i 0.155169 + 0.268761i
$$690$$ 7.15008e9 + 1.23843e10i 0.00120085 + 0.00207994i
$$691$$ −1.00781e12 + 1.74559e12i −0.168163 + 0.291266i −0.937774 0.347246i $$-0.887117\pi$$
0.769611 + 0.638513i $$0.220450\pi$$
$$692$$ 8.27200e11 0.137130
$$693$$ 0 0
$$694$$ 2.49153e12 0.407707
$$695$$ 2.00020e12 3.46444e12i 0.325193 0.563251i
$$696$$ −1.93501e10 3.35153e10i −0.00312566 0.00541380i
$$697$$ −6.85975e10 1.18814e11i −0.0110093 0.0190687i
$$698$$ 8.69828e11 1.50659e12i 0.138702 0.240240i
$$699$$ 2.20649e11 0.0349586
$$700$$ 0 0
$$701$$ −1.06523e13 −1.66614 −0.833068 0.553171i $$-0.813418\pi$$
−0.833068 + 0.553171i $$0.813418\pi$$
$$702$$ −2.13651e11 + 3.70054e11i −0.0332038 + 0.0575106i
$$703$$ 1.53556e12 + 2.65966e12i 0.237119 + 0.410703i
$$704$$ 4.54260e11 + 7.86801e11i 0.0696991 + 0.120722i
$$705$$ 8.89188e10 1.54012e11i 0.0135563 0.0234803i
$$706$$ −5.20936e12 −0.789157
$$707$$ 0 0
$$708$$ 2.15823e11 0.0322810
$$709$$ −1.73093e12 + 2.99807e12i −0.257260 + 0.445588i −0.965507 0.260377i $$-0.916153\pi$$
0.708247 + 0.705965i $$0.249486\pi$$
$$710$$ 1.25286e12 + 2.17001e12i 0.185029 + 0.320479i
$$711$$ −1.28383e12 2.22366e12i −0.188406 0.326329i
$$712$$ −9.61623e11 + 1.66558e12i −0.140231 + 0.242888i
$$713$$ 1.23357e12 0.178756
$$714$$ 0 0
$$715$$ 3.43195e12 0.491094
$$716$$ 3.09002e12 5.35207e12i 0.439393 0.761050i
$$717$$ 1.96833e10 + 3.40925e10i 0.00278139 + 0.00481750i
$$718$$ −1.82040e12 3.15302e12i −0.255627 0.442758i
$$719$$ 4.81013e12 8.33138e12i 0.671238 1.16262i −0.306316 0.951930i $$-0.599096\pi$$
0.977553 0.210688i $$-0.0675704\pi$$
$$720$$ −7.21048e11 −0.0999926
$$721$$ 0 0
$$722$$ 4.10558e12 0.562285
$$723$$ −2.69045e11 + 4.66000e11i −0.0366187 + 0.0634255i
$$724$$ 4.98345e11 + 8.63158e11i 0.0674072 + 0.116753i
$$725$$ 1.29089e12 + 2.23589e12i 0.173528 + 0.300559i
$$726$$ −2.75756e10 + 4.77623e10i −0.00368392 + 0.00638073i
$$727$$ −3.13479e12 −0.416202 −0.208101 0.978107i $$-0.566728\pi$$
−0.208101 + 0.978107i $$0.566728\pi$$
$$728$$ 0 0
$$729$$ −7.54204e12 −0.989043
$$730$$ −1.81002e12 + 3.13505e12i −0.235902 + 0.408594i
$$731$$ −8.61670e10 1.49246e11i −0.0111612 0.0193318i
$$732$$ −1.55876e11 2.69985e11i −0.0200669 0.0347568i
$$733$$ −3.23887e12 + 5.60989e12i −0.414406 + 0.717772i −0.995366 0.0961599i $$-0.969344\pi$$
0.580960 + 0.813932i $$0.302677\pi$$
$$734$$ 6.75189e12 0.858604
$$735$$ 0 0
$$736$$ 2.78921e11 0.0350374
$$737$$ 4.16252e12 7.20969e12i 0.519700 0.900146i
$$738$$ −3.44359e12 5.96447e12i −0.427324 0.740148i
$$739$$ 5.62550e11 + 9.74365e11i 0.0693843 + 0.120177i 0.898630 0.438706i $$-0.144563\pi$$
−0.829246 + 0.558884i $$0.811230\pi$$
$$740$$ 8.56306e11 1.48317e12i 0.104975 0.181822i
$$741$$ 1.74564e11 0.0212703
$$742$$ 0 0
$$743$$ 1.65266e12 0.198945 0.0994725 0.995040i $$-0.468284\pi$$
0.0994725 + 0.995040i $$0.468284\pi$$
$$744$$ 5.69854e10 9.87016e10i 0.00681845 0.0118099i
$$745$$ −2.54919e12 4.41532e12i −0.303179 0.525121i
$$746$$ 3.06626e12 + 5.31093e12i 0.362481 + 0.627835i
$$747$$ 4.12719e12 7.14850e12i 0.484966 0.839986i
$$748$$ −8.68096e10 −0.0101394
$$749$$ 0 0
$$750$$ −1.93141e11 −0.0222894
$$751$$ −3.01649e12 + 5.22472e12i −0.346037 + 0.599354i −0.985542 0.169434i $$-0.945806\pi$$
0.639505 + 0.768787i $$0.279140\pi$$
$$752$$ −1.73434e12 3.00396e12i −0.197767 0.342542i
$$753$$ 1.60111e10 + 2.77320e10i 0.00181486 + 0.00314343i
$$754$$ −1.42571e12 + 2.46940e12i −0.160642 + 0.278240i
$$755$$ −1.62082e11 −0.0181540
$$756$$ 0 0
$$757$$ −8.02798e12 −0.888535 −0.444268 0.895894i $$-0.646536\pi$$
−0.444268 + 0.895894i $$0.646536\pi$$
$$758$$ −9.71692e11 + 1.68302e12i −0.106910 + 0.185173i
$$759$$ 4.32133e10 + 7.48476e10i 0.00472639 + 0.00818634i
$$760$$ 2.94838e11 + 5.10674e11i 0.0320569 + 0.0555242i
$$761$$ 3.25961e12 5.64582e12i 0.352318 0.610233i −0.634337 0.773057i $$-0.718727\pi$$
0.986655 + 0.162824i $$0.0520601\pi$$
$$762$$ −2.26438e11 −0.0243305
$$763$$ 0 0
$$764$$ −6.63009e12 −0.704043
$$765$$ 3.44483e10 5.96661e10i 0.00363656 0.00629871i
$$766$$ −3.18177e12 5.51098e12i −0.333917 0.578362i
$$767$$ −7.95088e12 1.37713e13i −0.829537 1.43680i
$$768$$ 1.28849e10 2.23173e10i 0.00133646