# Properties

 Label 14.14.c.b.9.2 Level $14$ Weight $14$ Character 14.9 Analytic conductor $15.012$ Analytic rank $0$ Dimension $8$ CM no Inner twists $2$

# Related objects

## Newspace parameters

 Level: $$N$$ $$=$$ $$14 = 2 \cdot 7$$ Weight: $$k$$ $$=$$ $$14$$ Character orbit: $$[\chi]$$ $$=$$ 14.c (of order $$3$$, degree $$2$$, minimal)

## Newform invariants

 Self dual: no Analytic conductor: $$15.0123300533$$ Analytic rank: $$0$$ Dimension: $$8$$ Relative dimension: $$4$$ over $$\Q(\zeta_{3})$$ Coefficient field: $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ Defining polynomial: $$x^{8} + 209077 x^{6} - 47718852 x^{5} + 40973427094 x^{4} - 4988457209802 x^{3} + 1142094021456771 x^{2} + 65369216338084710 x + 7506311351102577225$$ Coefficient ring: $$\Z[a_1, \ldots, a_{7}]$$ Coefficient ring index: $$2^{14}\cdot 3\cdot 7^{4}$$ Twist minimal: yes Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

## Embedding invariants

 Embedding label 9.2 Root $$-248.013 - 429.572i$$ of defining polynomial Character $$\chi$$ $$=$$ 14.9 Dual form 14.14.c.b.11.2

## $q$-expansion

 $$f(q)$$ $$=$$ $$q+(32.0000 - 55.4256i) q^{2} +(-244.702 - 423.837i) q^{3} +(-2048.00 - 3547.24i) q^{4} +(34096.3 - 59056.5i) q^{5} -31321.9 q^{6} +(100530. + 294589. i) q^{7} -262144. q^{8} +(677403. - 1.17330e6i) q^{9} +O(q^{10})$$ $$q+(32.0000 - 55.4256i) q^{2} +(-244.702 - 423.837i) q^{3} +(-2048.00 - 3547.24i) q^{4} +(34096.3 - 59056.5i) q^{5} -31321.9 q^{6} +(100530. + 294589. i) q^{7} -262144. q^{8} +(677403. - 1.17330e6i) q^{9} +(-2.18216e6 - 3.77962e6i) q^{10} +(-1.01364e6 - 1.75568e6i) q^{11} +(-1.00230e6 + 1.73604e6i) q^{12} -1.22100e7 q^{13} +(1.95447e7 + 3.85491e6i) q^{14} -3.33738e7 q^{15} +(-8.38861e6 + 1.45295e7i) q^{16} +(-4.76426e7 - 8.25194e7i) q^{17} +(-4.33538e7 - 7.50910e7i) q^{18} +(-1.03590e8 + 1.79423e8i) q^{19} -2.79317e8 q^{20} +(1.00258e8 - 1.14695e8i) q^{21} -1.29746e8 q^{22} +(-1.66859e8 + 2.89008e8i) q^{23} +(6.41473e7 + 1.11106e8i) q^{24} +(-1.71476e9 - 2.97005e9i) q^{25} +(-3.90720e8 + 6.76747e8i) q^{26} -1.44332e9 q^{27} +(8.39093e8 - 9.59922e8i) q^{28} +4.91794e9 q^{29} +(-1.06796e9 + 1.84976e9i) q^{30} +(2.19527e9 + 3.80232e9i) q^{31} +(5.36871e8 + 9.29888e8i) q^{32} +(-4.96081e8 + 8.59238e8i) q^{33} -6.09825e9 q^{34} +(2.08251e10 + 4.10745e9i) q^{35} -5.54929e9 q^{36} +(4.86831e9 - 8.43216e9i) q^{37} +(6.62975e9 + 1.14831e10i) q^{38} +(2.98782e9 + 5.17505e9i) q^{39} +(-8.93813e9 + 1.54813e10i) q^{40} +2.57081e10 q^{41} +(-3.14879e9 - 9.22709e9i) q^{42} +2.25490e9 q^{43} +(-4.15188e9 + 7.19127e9i) q^{44} +(-4.61938e10 - 8.00101e10i) q^{45} +(1.06790e10 + 1.84965e10i) q^{46} +(6.30189e10 - 1.09152e11i) q^{47} +8.21085e9 q^{48} +(-7.66765e10 + 5.92301e10i) q^{49} -2.19489e11 q^{50} +(-2.33165e10 + 4.03854e10i) q^{51} +(2.50061e10 + 4.33118e10i) q^{52} +(8.56595e10 + 1.48367e11i) q^{53} +(-4.61862e10 + 7.99968e10i) q^{54} -1.38246e11 q^{55} +(-2.63533e10 - 7.72248e10i) q^{56} +1.01395e11 q^{57} +(1.57374e11 - 2.72580e11i) q^{58} +(-2.75382e11 - 4.76975e11i) q^{59} +(6.83495e10 + 1.18385e11i) q^{60} +(-2.20984e10 + 3.82756e10i) q^{61} +2.80995e11 q^{62} +(4.13740e11 + 8.16041e10i) q^{63} +6.87195e10 q^{64} +(-4.16316e11 + 7.21080e11i) q^{65} +(3.17492e10 + 5.49913e10i) q^{66} +(6.07062e10 + 1.05146e11i) q^{67} +(-1.95144e11 + 3.37999e11i) q^{68} +1.63323e11 q^{69} +(8.94061e11 - 1.02281e12i) q^{70} +1.25945e12 q^{71} +(-1.77577e11 + 3.07573e11i) q^{72} +(-7.26655e10 - 1.25860e11i) q^{73} +(-3.11572e11 - 5.39658e11i) q^{74} +(-8.39212e11 + 1.45356e12i) q^{75} +8.48608e11 q^{76} +(4.15303e11 - 4.75107e11i) q^{77} +3.82441e11 q^{78} +(-1.26635e12 + 2.19338e12i) q^{79} +(5.72041e11 + 9.90803e11i) q^{80} +(-7.26816e11 - 1.25888e12i) q^{81} +(8.22660e11 - 1.42489e12i) q^{82} -1.98753e11 q^{83} +(-6.12179e11 - 1.20743e11i) q^{84} -6.49774e12 q^{85} +(7.21568e10 - 1.24979e11i) q^{86} +(-1.20343e12 - 2.08440e12i) q^{87} +(2.65720e11 + 4.60241e11i) q^{88} +(2.74228e12 - 4.74977e12i) q^{89} -5.91281e12 q^{90} +(-1.22747e12 - 3.59693e12i) q^{91} +1.36691e12 q^{92} +(1.07438e12 - 1.86088e12i) q^{93} +(-4.03321e12 - 6.98572e12i) q^{94} +(7.06406e12 + 1.22353e13i) q^{95} +(2.62747e11 - 4.55091e11i) q^{96} +3.38474e12 q^{97} +(8.29217e11 + 6.14520e12i) q^{98} -2.74658e12 q^{99} +O(q^{100})$$ $$\operatorname{Tr}(f)(q)$$ $$=$$ $$8 q + 256 q^{2} + 182 q^{3} - 16384 q^{4} + 1792 q^{5} + 23296 q^{6} - 268352 q^{7} - 2097152 q^{8} + 599840 q^{9} + O(q^{10})$$ $$8 q + 256 q^{2} + 182 q^{3} - 16384 q^{4} + 1792 q^{5} + 23296 q^{6} - 268352 q^{7} - 2097152 q^{8} + 599840 q^{9} - 114688 q^{10} - 8726914 q^{11} + 745472 q^{12} + 1438416 q^{13} + 27004544 q^{14} - 136873212 q^{15} - 67108864 q^{16} - 7943068 q^{17} - 38389760 q^{18} - 215706806 q^{19} - 14680064 q^{20} - 414124312 q^{21} - 1117044992 q^{22} - 61927978 q^{23} - 47710208 q^{24} - 1327844792 q^{25} + 46029312 q^{26} - 3268643812 q^{27} + 2827460608 q^{28} - 6325846064 q^{29} - 4379942784 q^{30} + 6113775570 q^{31} + 4294967296 q^{32} + 25235960652 q^{33} - 1016712704 q^{34} + 41542225382 q^{35} - 4913889280 q^{36} - 3945652880 q^{37} + 13805235584 q^{38} - 23545599116 q^{39} - 469762048 q^{40} + 86378579952 q^{41} + 16061065216 q^{42} - 109074124256 q^{43} - 35745439744 q^{44} - 104964468168 q^{45} + 3963390592 q^{46} - 3141202722 q^{47} - 6106906624 q^{48} + 151080461672 q^{49} - 169964133376 q^{50} - 241278267462 q^{51} - 2945875968 q^{52} + 149625680376 q^{53} - 104596601984 q^{54} + 174912009748 q^{55} + 70346866688 q^{56} - 128207489960 q^{57} - 202427074048 q^{58} - 866297313938 q^{59} + 280316338176 q^{60} - 477908594184 q^{61} + 782563272960 q^{62} + 953051390564 q^{63} + 549755813888 q^{64} - 1099748343120 q^{65} - 1615101481728 q^{66} + 1895501016278 q^{67} - 32534806528 q^{68} + 3503301895632 q^{69} + 1443396653440 q^{70} + 638832672128 q^{71} - 157244456960 q^{72} - 2966596192756 q^{73} + 252521784320 q^{74} - 1331079867376 q^{75} + 1767070154752 q^{76} + 6943031627392 q^{77} - 3013836686848 q^{78} - 6505959677634 q^{79} + 30064771072 q^{80} + 2449216493684 q^{81} + 2764114558464 q^{82} - 3379817135968 q^{83} + 2724161355776 q^{84} - 16684556982464 q^{85} - 3490371976192 q^{86} - 5273311164492 q^{87} + 2287708143616 q^{88} + 9586601667468 q^{89} - 13435451925504 q^{90} + 16069253407200 q^{91} + 507313995776 q^{92} - 14195747226896 q^{93} + 201036974208 q^{94} + 14384410136978 q^{95} - 195421011968 q^{96} - 44560735311568 q^{97} - 2146516623104 q^{98} + 24706419985464 q^{99} + O(q^{100})$$

## Character values

We give the values of $$\chi$$ on generators for $$\left(\mathbb{Z}/14\mathbb{Z}\right)^\times$$.

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

## 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
$$n$$ $$a_n$$ $$a_n / n^{(k-1)/2}$$ $$\alpha_n$$ $$\theta_n$$
$$p$$ $$a_p$$ $$a_p / p^{(k-1)/2}$$ $$\alpha_p$$ $$\theta_p$$
$$2$$ 32.0000 55.4256i 0.353553 0.612372i
$$3$$ −244.702 423.837i −0.193798 0.335669i 0.752708 0.658355i $$-0.228747\pi$$
−0.946506 + 0.322686i $$0.895414\pi$$
$$4$$ −2048.00 3547.24i −0.250000 0.433013i
$$5$$ 34096.3 59056.5i 0.975892 1.69030i 0.298934 0.954274i $$-0.403369\pi$$
0.676958 0.736022i $$-0.263298\pi$$
$$6$$ −31321.9 −0.274072
$$7$$ 100530. + 294589.i 0.322967 + 0.946410i
$$8$$ −262144. −0.353553
$$9$$ 677403. 1.17330e6i 0.424884 0.735921i
$$10$$ −2.18216e6 3.77962e6i −0.690060 1.19522i
$$11$$ −1.01364e6 1.75568e6i −0.172517 0.298809i 0.766782 0.641908i $$-0.221857\pi$$
−0.939299 + 0.343099i $$0.888523\pi$$
$$12$$ −1.00230e6 + 1.73604e6i −0.0968992 + 0.167834i
$$13$$ −1.22100e7 −0.701591 −0.350796 0.936452i $$-0.614089\pi$$
−0.350796 + 0.936452i $$0.614089\pi$$
$$14$$ 1.95447e7 + 3.85491e6i 0.693742 + 0.136830i
$$15$$ −3.33738e7 −0.756505
$$16$$ −8.38861e6 + 1.45295e7i −0.125000 + 0.216506i
$$17$$ −4.76426e7 8.25194e7i −0.478715 0.829159i 0.520987 0.853565i $$-0.325564\pi$$
−0.999702 + 0.0244054i $$0.992231\pi$$
$$18$$ −4.33538e7 7.50910e7i −0.300439 0.520375i
$$19$$ −1.03590e8 + 1.79423e8i −0.505148 + 0.874942i 0.494834 + 0.868988i $$0.335229\pi$$
−0.999982 + 0.00595495i $$0.998104\pi$$
$$20$$ −2.79317e8 −0.975892
$$21$$ 1.00258e8 1.14695e8i 0.255090 0.291823i
$$22$$ −1.29746e8 −0.243976
$$23$$ −1.66859e8 + 2.89008e8i −0.235027 + 0.407079i −0.959281 0.282455i $$-0.908851\pi$$
0.724253 + 0.689534i $$0.242185\pi$$
$$24$$ 6.41473e7 + 1.11106e8i 0.0685181 + 0.118677i
$$25$$ −1.71476e9 2.97005e9i −1.40473 2.43307i
$$26$$ −3.90720e8 + 6.76747e8i −0.248050 + 0.429635i
$$27$$ −1.44332e9 −0.716964
$$28$$ 8.39093e8 9.59922e8i 0.329066 0.376451i
$$29$$ 4.91794e9 1.53531 0.767655 0.640864i $$-0.221424\pi$$
0.767655 + 0.640864i $$0.221424\pi$$
$$30$$ −1.06796e9 + 1.84976e9i −0.267465 + 0.463263i
$$31$$ 2.19527e9 + 3.80232e9i 0.444260 + 0.769481i 0.998000 0.0632083i $$-0.0201332\pi$$
−0.553740 + 0.832690i $$0.686800\pi$$
$$32$$ 5.36871e8 + 9.29888e8i 0.0883883 + 0.153093i
$$33$$ −4.96081e8 + 8.59238e8i −0.0668671 + 0.115817i
$$34$$ −6.09825e9 −0.677006
$$35$$ 2.08251e10 + 4.10745e9i 1.91489 + 0.377685i
$$36$$ −5.54929e9 −0.424884
$$37$$ 4.86831e9 8.43216e9i 0.311937 0.540291i −0.666845 0.745197i $$-0.732356\pi$$
0.978782 + 0.204906i $$0.0656889\pi$$
$$38$$ 6.62975e9 + 1.14831e10i 0.357194 + 0.618678i
$$39$$ 2.98782e9 + 5.17505e9i 0.135967 + 0.235502i
$$40$$ −8.93813e9 + 1.54813e10i −0.345030 + 0.597610i
$$41$$ 2.57081e10 0.845230 0.422615 0.906309i $$-0.361112\pi$$
0.422615 + 0.906309i $$0.361112\pi$$
$$42$$ −3.14879e9 9.22709e9i −0.0885163 0.259385i
$$43$$ 2.25490e9 0.0543980 0.0271990 0.999630i $$-0.491341\pi$$
0.0271990 + 0.999630i $$0.491341\pi$$
$$44$$ −4.15188e9 + 7.19127e9i −0.0862586 + 0.149404i
$$45$$ −4.61938e10 8.00101e10i −0.829283 1.43636i
$$46$$ 1.06790e10 + 1.84965e10i 0.166189 + 0.287848i
$$47$$ 6.30189e10 1.09152e11i 0.852775 1.47705i −0.0259191 0.999664i $$-0.508251\pi$$
0.878694 0.477385i $$-0.158415\pi$$
$$48$$ 8.21085e9 0.0968992
$$49$$ −7.66765e10 + 5.92301e10i −0.791384 + 0.611319i
$$50$$ −2.19489e11 −1.98659
$$51$$ −2.33165e10 + 4.03854e10i −0.185548 + 0.321379i
$$52$$ 2.50061e10 + 4.33118e10i 0.175398 + 0.303798i
$$53$$ 8.56595e10 + 1.48367e11i 0.530863 + 0.919482i 0.999351 + 0.0360120i $$0.0114655\pi$$
−0.468488 + 0.883470i $$0.655201\pi$$
$$54$$ −4.61862e10 + 7.99968e10i −0.253485 + 0.439049i
$$55$$ −1.38246e11 −0.673433
$$56$$ −2.63533e10 7.72248e10i −0.114186 0.334607i
$$57$$ 1.01395e11 0.391588
$$58$$ 1.57374e11 2.72580e11i 0.542814 0.940181i
$$59$$ −2.75382e11 4.76975e11i −0.849957 1.47217i −0.881246 0.472658i $$-0.843295\pi$$
0.0312897 0.999510i $$-0.490039\pi$$
$$60$$ 6.83495e10 + 1.18385e11i 0.189126 + 0.327576i
$$61$$ −2.20984e10 + 3.82756e10i −0.0549184 + 0.0951214i −0.892178 0.451685i $$-0.850823\pi$$
0.837259 + 0.546806i $$0.184157\pi$$
$$62$$ 2.80995e11 0.628279
$$63$$ 4.13740e11 + 8.16041e10i 0.833707 + 0.164437i
$$64$$ 6.87195e10 0.125000
$$65$$ −4.16316e11 + 7.21080e11i −0.684677 + 1.18590i
$$66$$ 3.17492e10 + 5.49913e10i 0.0472822 + 0.0818951i
$$67$$ 6.07062e10 + 1.05146e11i 0.0819874 + 0.142006i 0.904104 0.427314i $$-0.140540\pi$$
−0.822116 + 0.569320i $$0.807207\pi$$
$$68$$ −1.95144e11 + 3.37999e11i −0.239358 + 0.414580i
$$69$$ 1.63323e11 0.182191
$$70$$ 8.94061e11 1.02281e12i 0.908301 1.03910i
$$71$$ 1.25945e12 1.16682 0.583408 0.812179i $$-0.301719\pi$$
0.583408 + 0.812179i $$0.301719\pi$$
$$72$$ −1.77577e11 + 3.07573e11i −0.150219 + 0.260188i
$$73$$ −7.26655e10 1.25860e11i −0.0561992 0.0973398i 0.836557 0.547880i $$-0.184565\pi$$
−0.892756 + 0.450540i $$0.851232\pi$$
$$74$$ −3.11572e11 5.39658e11i −0.220573 0.382043i
$$75$$ −8.39212e11 + 1.45356e12i −0.544470 + 0.943049i
$$76$$ 8.48608e11 0.505148
$$77$$ 4.15303e11 4.75107e11i 0.227078 0.259777i
$$78$$ 3.82441e11 0.192287
$$79$$ −1.26635e12 + 2.19338e12i −0.586108 + 1.01517i 0.408628 + 0.912701i $$0.366007\pi$$
−0.994736 + 0.102468i $$0.967326\pi$$
$$80$$ 5.72041e11 + 9.90803e11i 0.243973 + 0.422574i
$$81$$ −7.26816e11 1.25888e12i −0.285938 0.495259i
$$82$$ 8.22660e11 1.42489e12i 0.298834 0.517596i
$$83$$ −1.98753e11 −0.0667276 −0.0333638 0.999443i $$-0.510622\pi$$
−0.0333638 + 0.999443i $$0.510622\pi$$
$$84$$ −6.12179e11 1.20743e11i −0.190135 0.0375014i
$$85$$ −6.49774e12 −1.86870
$$86$$ 7.21568e10 1.24979e11i 0.0192326 0.0333118i
$$87$$ −1.20343e12 2.08440e12i −0.297540 0.515355i
$$88$$ 2.65720e11 + 4.60241e11i 0.0609940 + 0.105645i
$$89$$ 2.74228e12 4.74977e12i 0.584894 1.01307i −0.409995 0.912088i $$-0.634470\pi$$
0.994889 0.100978i $$-0.0321971\pi$$
$$90$$ −5.91281e12 −1.17278
$$91$$ −1.22747e12 3.59693e12i −0.226591 0.663993i
$$92$$ 1.36691e12 0.235027
$$93$$ 1.07438e12 1.86088e12i 0.172194 0.298248i
$$94$$ −4.03321e12 6.98572e12i −0.603003 1.04443i
$$95$$ 7.06406e12 + 1.22353e13i 0.985941 + 1.70770i
$$96$$ 2.62747e11 4.55091e11i 0.0342590 0.0593384i
$$97$$ 3.38474e12 0.412581 0.206290 0.978491i $$-0.433861\pi$$
0.206290 + 0.978491i $$0.433861\pi$$
$$98$$ 8.29217e11 + 6.14520e12i 0.0945581 + 0.700756i
$$99$$ −2.74658e12 −0.293199
$$100$$ −7.02366e12 + 1.21653e13i −0.702366 + 1.21653i
$$101$$ 4.71449e12 + 8.16574e12i 0.441922 + 0.765432i 0.997832 0.0658107i $$-0.0209634\pi$$
−0.555910 + 0.831243i $$0.687630\pi$$
$$102$$ 1.49226e12 + 2.58466e12i 0.131203 + 0.227250i
$$103$$ 9.52601e12 1.64995e13i 0.786084 1.36154i −0.142265 0.989829i $$-0.545438\pi$$
0.928349 0.371709i $$-0.121228\pi$$
$$104$$ 3.20078e12 0.248050
$$105$$ −3.35506e12 9.83155e12i −0.244326 0.715964i
$$106$$ 1.09644e13 0.750754
$$107$$ 1.88106e12 3.25809e12i 0.121173 0.209879i −0.799057 0.601255i $$-0.794668\pi$$
0.920231 + 0.391376i $$0.128001\pi$$
$$108$$ 2.95591e12 + 5.11979e12i 0.179241 + 0.310455i
$$109$$ 7.35138e12 + 1.27330e13i 0.419852 + 0.727206i 0.995924 0.0901934i $$-0.0287485\pi$$
−0.576072 + 0.817399i $$0.695415\pi$$
$$110$$ −4.42386e12 + 7.66236e12i −0.238094 + 0.412392i
$$111$$ −4.76515e12 −0.241811
$$112$$ −5.12354e12 1.01054e12i −0.245275 0.0483768i
$$113$$ 1.91564e13 0.865572 0.432786 0.901497i $$-0.357531\pi$$
0.432786 + 0.901497i $$0.357531\pi$$
$$114$$ 3.24463e12 5.61987e12i 0.138447 0.239797i
$$115$$ 1.13785e13 + 1.97082e13i 0.458722 + 0.794530i
$$116$$ −1.00719e13 1.74451e13i −0.383827 0.664809i
$$117$$ −8.27109e12 + 1.43260e13i −0.298095 + 0.516316i
$$118$$ −3.52488e13 −1.20202
$$119$$ 1.95198e13 2.23307e13i 0.630116 0.720852i
$$120$$ 8.74873e12 0.267465
$$121$$ 1.52064e13 2.63383e13i 0.440476 0.762926i
$$122$$ 1.41430e12 + 2.44964e12i 0.0388332 + 0.0672610i
$$123$$ −6.29084e12 1.08960e13i −0.163804 0.283717i
$$124$$ 8.99184e12 1.55743e13i 0.222130 0.384741i
$$125$$ −1.50625e14 −3.53169
$$126$$ 1.77626e13 2.03204e13i 0.395456 0.452402i
$$127$$ 4.62943e13 0.979046 0.489523 0.871990i $$-0.337171\pi$$
0.489523 + 0.871990i $$0.337171\pi$$
$$128$$ 2.19902e12 3.80882e12i 0.0441942 0.0765466i
$$129$$ −5.51780e11 9.55711e11i −0.0105422 0.0182597i
$$130$$ 2.66442e13 + 4.61491e13i 0.484140 + 0.838555i
$$131$$ −1.05855e13 + 1.83346e13i −0.182999 + 0.316963i −0.942900 0.333075i $$-0.891914\pi$$
0.759902 + 0.650038i $$0.225247\pi$$
$$132$$ 4.06390e12 0.0668671
$$133$$ −6.32699e13 1.24791e13i −0.991201 0.195500i
$$134$$ 7.77040e12 0.115948
$$135$$ −4.92118e13 + 8.52373e13i −0.699680 + 1.21188i
$$136$$ 1.24892e13 + 2.16320e13i 0.169251 + 0.293152i
$$137$$ 1.97958e13 + 3.42873e13i 0.255793 + 0.443046i 0.965111 0.261843i $$-0.0843301\pi$$
−0.709318 + 0.704889i $$0.750997\pi$$
$$138$$ 5.22633e12 9.05227e12i 0.0644144 0.111569i
$$139$$ 9.29027e11 0.0109253 0.00546264 0.999985i $$-0.498261\pi$$
0.00546264 + 0.999985i $$0.498261\pi$$
$$140$$ −2.80797e13 8.22837e13i −0.315181 0.923595i
$$141$$ −6.16835e13 −0.661065
$$142$$ 4.03025e13 6.98059e13i 0.412532 0.714526i
$$143$$ 1.23766e13 + 2.14369e13i 0.121037 + 0.209641i
$$144$$ 1.13649e13 + 1.96846e13i 0.106221 + 0.183980i
$$145$$ 1.67683e14 2.90436e14i 1.49830 2.59513i
$$146$$ −9.30119e12 −0.0794776
$$147$$ 4.38668e13 + 1.80046e13i 0.358569 + 0.147170i
$$148$$ −3.98812e13 −0.311937
$$149$$ −8.78519e13 + 1.52164e14i −0.657719 + 1.13920i 0.323486 + 0.946233i $$0.395145\pi$$
−0.981205 + 0.192970i $$0.938188\pi$$
$$150$$ 5.37096e13 + 9.30277e13i 0.384998 + 0.666836i
$$151$$ 1.22477e14 + 2.12136e14i 0.840823 + 1.45635i 0.889200 + 0.457519i $$0.151262\pi$$
−0.0483769 + 0.998829i $$0.515405\pi$$
$$152$$ 2.71555e13 4.70346e13i 0.178597 0.309339i
$$153$$ −1.29093e14 −0.813595
$$154$$ −1.30434e13 3.82218e13i −0.0787963 0.230902i
$$155$$ 2.99402e14 1.73420
$$156$$ 1.22381e13 2.11970e13i 0.0679836 0.117751i
$$157$$ −1.76805e13 3.06236e13i −0.0942210 0.163196i 0.815062 0.579373i $$-0.196703\pi$$
−0.909283 + 0.416178i $$0.863369\pi$$
$$158$$ 8.10464e13 + 1.40376e14i 0.414441 + 0.717833i
$$159$$ 4.19222e13 7.26113e13i 0.205761 0.356388i
$$160$$ 7.32212e13 0.345030
$$161$$ −1.01913e14 2.01008e13i −0.461170 0.0909590i
$$162$$ −9.30324e13 −0.404377
$$163$$ 3.33119e13 5.76980e13i 0.139117 0.240958i −0.788046 0.615617i $$-0.788907\pi$$
0.927163 + 0.374659i $$0.122240\pi$$
$$164$$ −5.26502e13 9.11928e13i −0.211308 0.365995i
$$165$$ 3.38291e13 + 5.85937e13i 0.130510 + 0.226050i
$$166$$ −6.36009e12 + 1.10160e13i −0.0235918 + 0.0408622i
$$167$$ −3.09178e14 −1.10294 −0.551469 0.834195i $$-0.685933\pi$$
−0.551469 + 0.834195i $$0.685933\pi$$
$$168$$ −2.62820e13 + 3.00666e13i −0.0901878 + 0.103175i
$$169$$ −1.53791e14 −0.507770
$$170$$ −2.07928e14 + 3.60141e14i −0.660685 + 1.14434i
$$171$$ 1.40344e14 + 2.43083e14i 0.429259 + 0.743499i
$$172$$ −4.61804e12 7.99868e12i −0.0135995 0.0235550i
$$173$$ −5.20918e12 + 9.02256e12i −0.0147730 + 0.0255876i −0.873317 0.487152i $$-0.838036\pi$$
0.858544 + 0.512739i $$0.171369\pi$$
$$174$$ −1.54039e14 −0.420786
$$175$$ 7.02560e14 8.03729e14i 1.84900 2.11525i
$$176$$ 3.40122e13 0.0862586
$$177$$ −1.34773e14 + 2.33434e14i −0.329440 + 0.570607i
$$178$$ −1.75506e14 3.03985e14i −0.413582 0.716346i
$$179$$ −2.19409e14 3.80028e14i −0.498552 0.863517i 0.501447 0.865188i $$-0.332801\pi$$
−0.999999 + 0.00167147i $$0.999468\pi$$
$$180$$ −1.89210e14 + 3.27721e14i −0.414641 + 0.718180i
$$181$$ −1.08144e13 −0.0228607 −0.0114304 0.999935i $$-0.503638\pi$$
−0.0114304 + 0.999935i $$0.503638\pi$$
$$182$$ −2.38641e14 4.70685e13i −0.486723 0.0959990i
$$183$$ 2.16302e13 0.0425724
$$184$$ 4.37410e13 7.57617e13i 0.0830946 0.143924i
$$185$$ −3.31982e14 5.75010e14i −0.608834 1.05453i
$$186$$ −6.87601e13 1.19096e14i −0.121759 0.210893i
$$187$$ −9.65851e13 + 1.67290e14i −0.165173 + 0.286088i
$$188$$ −5.16250e14 −0.852775
$$189$$ −1.45097e14 4.25186e14i −0.231556 0.678542i
$$190$$ 9.04199e14 1.39433
$$191$$ −2.98828e14 + 5.17585e14i −0.445353 + 0.771374i −0.998077 0.0619904i $$-0.980255\pi$$
0.552724 + 0.833365i $$0.313589\pi$$
$$192$$ −1.68158e13 2.91259e13i −0.0242248 0.0419586i
$$193$$ 2.27823e14 + 3.94600e14i 0.317303 + 0.549585i 0.979924 0.199370i $$-0.0638894\pi$$
−0.662621 + 0.748955i $$0.730556\pi$$
$$194$$ 1.08312e14 1.87601e14i 0.145869 0.252653i
$$195$$ 4.07494e14 0.530757
$$196$$ 3.67137e14 + 1.50687e14i 0.462555 + 0.189850i
$$197$$ −8.49836e14 −1.03587 −0.517934 0.855421i $$-0.673299\pi$$
−0.517934 + 0.855421i $$0.673299\pi$$
$$198$$ −8.78905e13 + 1.52231e14i −0.103662 + 0.179547i
$$199$$ 7.26924e14 + 1.25907e15i 0.829743 + 1.43716i 0.898240 + 0.439506i $$0.144847\pi$$
−0.0684964 + 0.997651i $$0.521820\pi$$
$$200$$ 4.49514e14 + 7.78582e14i 0.496648 + 0.860219i
$$201$$ 2.97099e13 5.14591e13i 0.0317780 0.0550412i
$$202$$ 6.03455e14 0.624972
$$203$$ 4.94400e14 + 1.44877e15i 0.495854 + 1.45303i
$$204$$ 1.91009e14 0.185548
$$205$$ 8.76551e14 1.51823e15i 0.824854 1.42869i
$$206$$ −6.09665e14 1.05597e15i −0.555846 0.962753i
$$207$$ 2.26061e14 + 3.91549e14i 0.199719 + 0.345923i
$$208$$ 1.02425e14 1.77405e14i 0.0876989 0.151899i
$$209$$ 4.20012e14 0.348587
$$210$$ −6.52282e14 1.28653e14i −0.524819 0.103513i
$$211$$ −1.00855e14 −0.0786797 −0.0393399 0.999226i $$-0.512526\pi$$
−0.0393399 + 0.999226i $$0.512526\pi$$
$$212$$ 3.50861e14 6.07710e14i 0.265431 0.459741i
$$213$$ −3.08191e14 5.33802e14i −0.226127 0.391663i
$$214$$ −1.20388e14 2.08518e14i −0.0856826 0.148407i
$$215$$ 7.68837e13 1.33167e14i 0.0530866 0.0919486i
$$216$$ 3.78357e14 0.253485
$$217$$ −8.99432e14 + 1.02895e15i −0.584763 + 0.668969i
$$218$$ 9.40977e14 0.593761
$$219$$ −3.55629e13 + 6.15967e13i −0.0217826 + 0.0377286i
$$220$$ 2.83127e14 + 4.90391e14i 0.168358 + 0.291605i
$$221$$ 5.81716e14 + 1.00756e15i 0.335862 + 0.581731i
$$222$$ −1.52485e14 + 2.64111e14i −0.0854933 + 0.148079i
$$223$$ −7.82121e14 −0.425885 −0.212942 0.977065i $$-0.568305\pi$$
−0.212942 + 0.977065i $$0.568305\pi$$
$$224$$ −2.19963e14 + 2.51638e14i −0.116342 + 0.133096i
$$225$$ −4.64634e15 −2.38740
$$226$$ 6.13003e14 1.06175e15i 0.306026 0.530052i
$$227$$ −1.40236e14 2.42895e14i −0.0680284 0.117829i 0.830005 0.557756i $$-0.188338\pi$$
−0.898033 + 0.439927i $$0.855004\pi$$
$$228$$ −2.07656e14 3.59672e14i −0.0978969 0.169562i
$$229$$ 1.53748e15 2.66299e15i 0.704496 1.22022i −0.262378 0.964965i $$-0.584507\pi$$
0.966873 0.255257i $$-0.0821600\pi$$
$$230$$ 1.45645e15 0.648731
$$231$$ −3.02993e14 5.97610e13i −0.131206 0.0258785i
$$232$$ −1.28921e15 −0.542814
$$233$$ −1.55317e15 + 2.69017e15i −0.635925 + 1.10145i 0.350394 + 0.936603i $$0.386048\pi$$
−0.986318 + 0.164851i $$0.947286\pi$$
$$234$$ 5.29350e14 + 9.16861e14i 0.210785 + 0.365090i
$$235$$ −4.29742e15 7.44334e15i −1.66443 2.88288i
$$236$$ −1.12796e15 + 1.95369e15i −0.424978 + 0.736084i
$$237$$ 1.23952e15 0.454347
$$238$$ −6.13057e14 1.79648e15i −0.218651 0.640725i
$$239$$ 5.08395e15 1.76447 0.882237 0.470805i $$-0.156037\pi$$
0.882237 + 0.470805i $$0.156037\pi$$
$$240$$ 2.79959e14 4.84904e14i 0.0945632 0.163788i
$$241$$ 1.06886e15 + 1.85132e15i 0.351407 + 0.608655i 0.986496 0.163784i $$-0.0523699\pi$$
−0.635089 + 0.772439i $$0.719037\pi$$
$$242$$ −9.73210e14 1.68565e15i −0.311463 0.539470i
$$243$$ −1.50626e15 + 2.60893e15i −0.469311 + 0.812870i
$$244$$ 1.81030e14 0.0549184
$$245$$ 8.83538e14 + 6.54777e15i 0.261003 + 1.93425i
$$246$$ −8.05227e14 −0.231654
$$247$$ 1.26483e15 2.19075e15i 0.354408 0.613852i
$$248$$ −5.75477e14 9.96756e14i −0.157070 0.272053i
$$249$$ 4.86353e13 + 8.42388e13i 0.0129317 + 0.0223984i
$$250$$ −4.82000e15 + 8.34848e15i −1.24864 + 2.16271i
$$251$$ −1.27798e15 −0.322585 −0.161293 0.986907i $$-0.551566\pi$$
−0.161293 + 0.986907i $$0.551566\pi$$
$$252$$ −5.57869e14 1.63476e15i −0.137224 0.402115i
$$253$$ 6.76540e14 0.162185
$$254$$ 1.48142e15 2.56589e15i 0.346145 0.599541i
$$255$$ 1.59001e15 + 2.75398e15i 0.362151 + 0.627264i
$$256$$ −1.40737e14 2.43764e14i −0.0312500 0.0541266i
$$257$$ 2.34815e15 4.06711e15i 0.508346 0.880482i −0.491607 0.870817i $$-0.663590\pi$$
0.999953 0.00966455i $$-0.00307637\pi$$
$$258$$ −7.06278e13 −0.0149090
$$259$$ 2.97343e15 + 5.86466e14i 0.612082 + 0.120724i
$$260$$ 3.41046e15 0.684677
$$261$$ 3.33142e15 5.77020e15i 0.652329 1.12987i
$$262$$ 6.77472e14 + 1.17342e15i 0.129400 + 0.224127i
$$263$$ −4.72518e15 8.18424e15i −0.880452 1.52499i −0.850839 0.525426i $$-0.823906\pi$$
−0.0296123 0.999561i $$-0.509427\pi$$
$$264$$ 1.30045e14 2.25244e14i 0.0236411 0.0409476i
$$265$$ 1.16827e16 2.07226
$$266$$ −2.71630e15 + 3.10744e15i −0.470161 + 0.537864i
$$267$$ −2.68417e15 −0.453406
$$268$$ 2.48653e14 4.30679e14i 0.0409937 0.0710032i
$$269$$ −1.73652e15 3.00774e15i −0.279441 0.484005i 0.691805 0.722084i $$-0.256816\pi$$
−0.971246 + 0.238079i $$0.923482\pi$$
$$270$$ 3.14955e15 + 5.45519e15i 0.494748 + 0.856929i
$$271$$ −2.33839e15 + 4.05021e15i −0.358605 + 0.621122i −0.987728 0.156184i $$-0.950081\pi$$
0.629123 + 0.777306i $$0.283414\pi$$
$$272$$ 1.59862e15 0.239358
$$273$$ −1.22415e15 + 1.40043e15i −0.178969 + 0.204740i
$$274$$ 2.53386e15 0.361746
$$275$$ −3.47631e15 + 6.02114e15i −0.484681 + 0.839492i
$$276$$ −3.34485e14 5.79346e14i −0.0455479 0.0788912i
$$277$$ 3.58150e15 + 6.20334e15i 0.476372 + 0.825101i 0.999634 0.0270712i $$-0.00861810\pi$$
−0.523261 + 0.852172i $$0.675285\pi$$
$$278$$ 2.97289e13 5.14919e13i 0.00386267 0.00669034i
$$279$$ 5.94834e15 0.755037
$$280$$ −5.45917e15 1.07674e15i −0.677017 0.133532i
$$281$$ −3.65564e15 −0.442968 −0.221484 0.975164i $$-0.571090\pi$$
−0.221484 + 0.975164i $$0.571090\pi$$
$$282$$ −1.97387e15 + 3.41884e15i −0.233722 + 0.404818i
$$283$$ −2.03067e14 3.51722e14i −0.0234978 0.0406993i 0.854037 0.520212i $$-0.174147\pi$$
−0.877535 + 0.479512i $$0.840814\pi$$
$$284$$ −2.57936e15 4.46758e15i −0.291704 0.505246i
$$285$$ 3.45718e15 5.98802e15i 0.382147 0.661899i
$$286$$ 1.58420e15 0.171171
$$287$$ 2.58444e15 + 7.57333e15i 0.272982 + 0.799935i
$$288$$ 1.45471e15 0.150219
$$289$$ 4.12656e14 7.14740e14i 0.0416631 0.0721626i
$$290$$ −1.07317e16 1.85879e16i −1.05946 1.83503i
$$291$$ −8.28254e14 1.43458e15i −0.0799575 0.138490i
$$292$$ −2.97638e14 + 5.15524e14i −0.0280996 + 0.0486699i
$$293$$ −1.50550e15 −0.139008 −0.0695041 0.997582i $$-0.522142\pi$$
−0.0695041 + 0.997582i $$0.522142\pi$$
$$294$$ 2.40165e15 1.85520e15i 0.216897 0.167545i
$$295$$ −3.75579e16 −3.31786
$$296$$ −1.27620e15 + 2.21044e15i −0.110286 + 0.191022i
$$297$$ 1.46301e15 + 2.53400e15i 0.123689 + 0.214235i
$$298$$ 5.62252e15 + 9.73849e15i 0.465078 + 0.805538i
$$299$$ 2.03735e15 3.52879e15i 0.164893 0.285603i
$$300$$ 6.87483e15 0.544470
$$301$$ 2.26685e14 + 6.64269e14i 0.0175688 + 0.0514828i
$$302$$ 1.56771e16 1.18910
$$303$$ 2.30729e15 3.99635e15i 0.171288 0.296679i
$$304$$ −1.73795e15 3.01022e15i −0.126287 0.218736i
$$305$$ 1.50695e15 + 2.61011e15i 0.107189 + 0.185657i
$$306$$ −4.13097e15 + 7.15506e15i −0.287649 + 0.498223i
$$307$$ −1.99255e16 −1.35835 −0.679173 0.733978i $$-0.737661\pi$$
−0.679173 + 0.733978i $$0.737661\pi$$
$$308$$ −2.53586e15 5.00161e14i −0.169256 0.0333833i
$$309$$ −9.32415e15 −0.609367
$$310$$ 9.58088e15 1.65946e16i 0.613133 1.06198i
$$311$$ 2.21010e13 + 3.82801e13i 0.00138506 + 0.00239900i 0.866717 0.498800i $$-0.166226\pi$$
−0.865332 + 0.501199i $$0.832892\pi$$
$$312$$ −7.83238e14 1.35661e15i −0.0480717 0.0832626i
$$313$$ −2.12499e15 + 3.68058e15i −0.127737 + 0.221248i −0.922800 0.385280i $$-0.874105\pi$$
0.795062 + 0.606528i $$0.207438\pi$$
$$314$$ −2.26311e15 −0.133249
$$315$$ 1.89262e16 2.16516e16i 1.09155 1.24874i
$$316$$ 1.03739e16 0.586108
$$317$$ −5.50321e15 + 9.53184e15i −0.304601 + 0.527584i −0.977172 0.212448i $$-0.931856\pi$$
0.672572 + 0.740032i $$0.265190\pi$$
$$318$$ −2.68302e15 4.64713e15i −0.145495 0.252004i
$$319$$ −4.98503e15 8.63432e15i −0.264867 0.458764i
$$320$$ 2.34308e15 4.05833e15i 0.121987 0.211287i
$$321$$ −1.84120e15 −0.0939329
$$322$$ −4.37531e15 + 5.00536e15i −0.218749 + 0.250249i
$$323$$ 1.97412e16 0.967289
$$324$$ −2.97704e15 + 5.15638e15i −0.142969 + 0.247630i
$$325$$ 2.09372e16 + 3.62644e16i 0.985548 + 1.70702i
$$326$$ −2.13196e15 3.69267e15i −0.0983706 0.170383i
$$327$$ 3.59780e15 6.23157e15i 0.162733 0.281862i
$$328$$ −6.73923e15 −0.298834
$$329$$ 3.84902e16 + 7.59163e15i 1.67331 + 0.330036i
$$330$$ 4.33012e15 0.184569
$$331$$ −2.11676e16 + 3.66633e16i −0.884687 + 1.53232i −0.0386146 + 0.999254i $$0.512294\pi$$
−0.846072 + 0.533068i $$0.821039\pi$$
$$332$$ 4.07046e14 + 7.05024e14i 0.0166819 + 0.0288939i
$$333$$ −6.59561e15 1.14239e16i −0.265074 0.459122i
$$334$$ −9.89369e15 + 1.71364e16i −0.389948 + 0.675409i
$$335$$ 8.27943e15 0.320043
$$336$$ 8.25436e14 + 2.41883e15i 0.0312952 + 0.0917064i
$$337$$ 2.81461e16 1.04670 0.523352 0.852117i $$-0.324681\pi$$
0.523352 + 0.852117i $$0.324681\pi$$
$$338$$ −4.92131e15 + 8.52395e15i −0.179524 + 0.310944i
$$339$$ −4.68761e15 8.11917e15i −0.167746 0.290545i
$$340$$ 1.33074e16 + 2.30490e16i 0.467175 + 0.809170i
$$341$$ 4.45044e15 7.70839e15i 0.153285 0.265497i
$$342$$ 1.79641e16 0.607064
$$343$$ −2.51568e16 1.66337e16i −0.834149 0.551539i
$$344$$ −5.91109e14 −0.0192326
$$345$$ 5.56870e15 9.64528e15i 0.177799 0.307957i
$$346$$ 3.33387e14 + 5.77444e14i 0.0104461 + 0.0180932i
$$347$$ 1.37022e16 + 2.37330e16i 0.421357 + 0.729811i 0.996072 0.0885421i $$-0.0282208\pi$$
−0.574716 + 0.818353i $$0.694887\pi$$
$$348$$ −4.92925e15 + 8.53772e15i −0.148770 + 0.257678i
$$349$$ −5.20113e16 −1.54075 −0.770375 0.637591i $$-0.779931\pi$$
−0.770375 + 0.637591i $$0.779931\pi$$
$$350$$ −2.20653e16 6.46592e16i −0.641604 1.88013i
$$351$$ 1.76229e16 0.503016
$$352$$ 1.08839e15 1.88515e15i 0.0304970 0.0528224i
$$353$$ −1.02686e16 1.77857e16i −0.282471 0.489254i 0.689522 0.724265i $$-0.257821\pi$$
−0.971993 + 0.235011i $$0.924487\pi$$
$$354$$ 8.62547e15 + 1.49398e16i 0.232949 + 0.403480i
$$355$$ 4.29426e16 7.43788e16i 1.13869 1.97226i
$$356$$ −2.24648e16 −0.584894
$$357$$ −1.42411e16 2.80885e15i −0.364083 0.0718100i
$$358$$ −2.80844e16 −0.705059
$$359$$ −2.44701e15 + 4.23835e15i −0.0603285 + 0.104492i −0.894612 0.446843i $$-0.852548\pi$$
0.834284 + 0.551335i $$0.185881\pi$$
$$360$$ 1.21094e16 + 2.09742e16i 0.293196 + 0.507830i
$$361$$ −4.35230e14 7.53840e14i −0.0103496 0.0179259i
$$362$$ −3.46059e14 + 5.99392e14i −0.00808248 + 0.0139993i
$$363$$ −1.48842e16 −0.341454
$$364$$ −1.02453e16 + 1.17207e16i −0.230870 + 0.264115i
$$365$$ −9.91050e15 −0.219377
$$366$$ 6.92165e14 1.19887e15i 0.0150516 0.0260701i
$$367$$ −6.03722e13 1.04568e14i −0.00128976 0.00223392i 0.865380 0.501117i $$-0.167077\pi$$
−0.866670 + 0.498883i $$0.833744\pi$$
$$368$$ −2.79942e15 4.84875e15i −0.0587568 0.101770i
$$369$$ 1.74148e16 3.01632e16i 0.359125 0.622023i
$$370$$ −4.24937e16 −0.861021
$$371$$ −3.50958e16 + 4.01497e16i −0.698756 + 0.799376i
$$372$$ −8.80129e15 −0.172194
$$373$$ 7.37286e15 1.27702e16i 0.141752 0.245521i −0.786405 0.617712i $$-0.788060\pi$$
0.928156 + 0.372190i $$0.121393\pi$$
$$374$$ 6.18145e15 + 1.07066e16i 0.116795 + 0.202295i
$$375$$ 3.68583e16 + 6.38404e16i 0.684435 + 1.18548i
$$376$$ −1.65200e16 + 2.86135e16i −0.301501 + 0.522216i
$$377$$ −6.00480e16 −1.07716
$$378$$ −2.82093e16 5.56387e15i −0.497388 0.0981025i
$$379$$ 2.32876e15 0.0403617 0.0201809 0.999796i $$-0.493576\pi$$
0.0201809 + 0.999796i $$0.493576\pi$$
$$380$$ 2.89344e16 5.01158e16i 0.492970 0.853850i
$$381$$ −1.13283e16 1.96212e16i −0.189737 0.328635i
$$382$$ 1.91250e16 + 3.31255e16i 0.314912 + 0.545444i
$$383$$ 1.86847e16 3.23629e16i 0.302479 0.523909i −0.674218 0.738532i $$-0.735519\pi$$
0.976697 + 0.214624i $$0.0688525\pi$$
$$384$$ −2.15242e15 −0.0342590
$$385$$ −1.38978e16 4.07257e16i −0.217497 0.637344i
$$386$$ 2.91613e16 0.448734
$$387$$ 1.52748e15 2.64567e15i 0.0231128 0.0400326i
$$388$$ −6.93195e15 1.20065e16i −0.103145 0.178653i
$$389$$ −2.40310e15 4.16229e15i −0.0351641 0.0609060i 0.847908 0.530144i $$-0.177862\pi$$
−0.883072 + 0.469238i $$0.844529\pi$$
$$390$$ 1.30398e16 2.25856e16i 0.187651 0.325021i
$$391$$ 3.17983e16 0.450044
$$392$$ 2.01003e16 1.55268e16i 0.279797 0.216134i
$$393$$ 1.03612e16 0.141859
$$394$$ −2.71947e16 + 4.71027e16i −0.366235 + 0.634337i
$$395$$ 8.63556e16 + 1.49572e17i 1.14396 + 1.98139i
$$396$$ 5.62499e15 + 9.74277e15i 0.0732999 + 0.126959i
$$397$$ −1.18316e16 + 2.04930e16i −0.151672 + 0.262704i −0.931842 0.362863i $$-0.881799\pi$$
0.780170 + 0.625568i $$0.215133\pi$$
$$398$$ 9.30462e16 1.17343
$$399$$ 1.01932e16 + 2.98698e16i 0.126470 + 0.370602i
$$400$$ 5.75378e16 0.702366
$$401$$ −2.64431e16 + 4.58009e16i −0.317596 + 0.550092i −0.979986 0.199067i $$-0.936209\pi$$
0.662390 + 0.749159i $$0.269542\pi$$
$$402$$ −1.90143e15 3.29338e15i −0.0224705 0.0389200i
$$403$$ −2.68043e16 4.64264e16i −0.311689 0.539861i
$$404$$ 1.93106e16 3.34469e16i 0.220961 0.382716i
$$405$$ −9.91269e16 −1.11618
$$406$$ 9.61198e16 + 1.89582e16i 1.06511 + 0.210077i
$$407$$ −1.97389e16 −0.215258
$$408$$ 6.11228e15 1.05868e16i 0.0656013 0.113625i
$$409$$ 2.17697e16 + 3.77062e16i 0.229959 + 0.398301i 0.957796 0.287450i $$-0.0928074\pi$$
−0.727837 + 0.685751i $$0.759474\pi$$
$$410$$ −5.60993e16 9.71668e16i −0.583260 1.01024i
$$411$$ 9.68814e15 1.67804e16i 0.0991445 0.171723i
$$412$$ −7.80371e16 −0.786084
$$413$$ 1.12827e17 1.29075e17i 1.11877 1.27987i
$$414$$ 2.89358e16 0.282445
$$415$$ −6.77673e15 + 1.17376e16i −0.0651190 + 0.112789i
$$416$$ −6.55520e15 1.13539e16i −0.0620125 0.107409i
$$417$$ −2.27335e14 3.93756e14i −0.00211730 0.00366727i
$$418$$ 1.34404e16 2.32794e16i 0.123244 0.213465i
$$419$$ 5.69881e16 0.514509 0.257255 0.966344i $$-0.417182\pi$$
0.257255 + 0.966344i $$0.417182\pi$$
$$420$$ −2.80037e16 + 3.20362e16i −0.248940 + 0.284787i
$$421$$ 6.97807e16 0.610803 0.305402 0.952224i $$-0.401209\pi$$
0.305402 + 0.952224i $$0.401209\pi$$
$$422$$ −3.22737e15 + 5.58997e15i −0.0278175 + 0.0481813i
$$423$$ −8.53783e16 1.47880e17i −0.724662 1.25515i
$$424$$ −2.24551e16 3.88934e16i −0.187688 0.325086i
$$425$$ −1.63391e17 + 2.83002e17i −1.34493 + 2.32949i
$$426$$ −3.94484e16 −0.319792
$$427$$ −1.34971e16 2.66211e15i −0.107761 0.0212542i
$$428$$ −1.54096e16 −0.121173
$$429$$ 6.05716e15 1.04913e16i 0.0469134 0.0812563i
$$430$$ −4.92056e15 8.52266e15i −0.0375379 0.0650175i
$$431$$ 1.26096e17 + 2.18405e17i 0.947545 + 1.64120i 0.750573 + 0.660787i $$0.229777\pi$$
0.196972 + 0.980409i $$0.436889\pi$$
$$432$$ 1.21074e16 2.09707e16i 0.0896205 0.155227i
$$433$$ −1.42066e16 −0.103590 −0.0517952 0.998658i $$-0.516494\pi$$
−0.0517952 + 0.998658i $$0.516494\pi$$
$$434$$ 2.82484e16 + 8.27780e16i 0.202913 + 0.594609i
$$435$$ −1.64130e17 −1.16147
$$436$$ 3.01112e16 5.21542e16i 0.209926 0.363603i
$$437$$ −3.45697e16 5.98766e16i −0.237447 0.411270i
$$438$$ 2.27602e15 + 3.94219e15i 0.0154026 + 0.0266781i
$$439$$ 2.71324e16 4.69947e16i 0.180912 0.313350i −0.761279 0.648424i $$-0.775428\pi$$
0.942192 + 0.335075i $$0.108762\pi$$
$$440$$ 3.62403e16 0.238094
$$441$$ 1.75536e16 + 1.30087e17i 0.113636 + 0.842137i
$$442$$ 7.44597e16 0.474981
$$443$$ 1.22671e17 2.12472e17i 0.771110 1.33560i −0.165845 0.986152i $$-0.553035\pi$$
0.936955 0.349450i $$-0.113631\pi$$
$$444$$ 9.75902e15 + 1.69031e16i 0.0604529 + 0.104707i
$$445$$ −1.87003e17 3.23899e17i −1.14159 1.97729i
$$446$$ −2.50279e16 + 4.33495e16i −0.150573 + 0.260800i
$$447$$ 8.59903e16 0.509859
$$448$$ 6.90837e15 + 2.02440e16i 0.0403709 + 0.118301i
$$449$$ −3.17982e17 −1.83148 −0.915739 0.401773i $$-0.868394\pi$$
−0.915739 + 0.401773i $$0.868394\pi$$
$$450$$ −1.48683e17 + 2.57526e17i −0.844072 + 1.46197i
$$451$$ −2.60588e16 4.51352e16i −0.145817 0.252562i
$$452$$ −3.92322e16 6.79522e16i −0.216393 0.374804i
$$453$$ 5.99409e16 1.03821e17i 0.325900 0.564476i
$$454$$ −1.79502e16 −0.0962066
$$455$$ −2.54275e17 5.01519e16i −1.34347 0.264980i
$$456$$ −2.65800e16 −0.138447
$$457$$ −2.38520e16 + 4.13129e16i −0.122481 + 0.212144i −0.920746 0.390163i $$-0.872419\pi$$
0.798264 + 0.602307i $$0.205752\pi$$
$$458$$ −9.83986e16 1.70431e17i −0.498154 0.862827i
$$459$$ 6.87634e16 + 1.19102e17i 0.343222 + 0.594478i
$$460$$ 4.66064e16 8.07247e16i 0.229361 0.397265i
$$461$$ 3.80845e17 1.84796 0.923979 0.382444i $$-0.124917\pi$$
0.923979 + 0.382444i $$0.124917\pi$$
$$462$$ −1.30081e16 + 1.48812e16i −0.0622358 + 0.0711978i
$$463$$ 3.17540e17 1.49803 0.749017 0.662550i $$-0.230526\pi$$
0.749017 + 0.662550i $$0.230526\pi$$
$$464$$ −4.12546e16 + 7.14551e16i −0.191914 + 0.332404i
$$465$$ −7.32645e16 1.26898e17i −0.336085 0.582117i
$$466$$ 9.94029e16 + 1.72171e17i 0.449667 + 0.778846i
$$467$$ −1.35003e17 + 2.33833e17i −0.602261 + 1.04315i 0.390217 + 0.920723i $$0.372400\pi$$
−0.992478 + 0.122424i $$0.960933\pi$$
$$468$$ 6.77568e16 0.298095
$$469$$ −2.48721e16 + 2.84537e16i −0.107917 + 0.123457i
$$470$$ −5.50069e17 −2.35386
$$471$$ −8.65294e15 + 1.49873e16i −0.0365197 + 0.0632540i
$$472$$ 7.21896e16 + 1.25036e17i 0.300505 + 0.520490i
$$473$$ −2.28566e15 3.95889e15i −0.00938458 0.0162546i
$$474$$ 3.96645e16 6.87009e16i 0.160636 0.278230i
$$475$$ 7.10527e17 2.83839
$$476$$ −1.19189e17 2.35082e16i −0.469667 0.0926350i
$$477$$ 2.32104e17 0.902222
$$478$$ 1.62687e17 2.81781e17i 0.623836 1.08052i
$$479$$ −2.00045e16 3.46489e16i −0.0756742 0.131072i 0.825705 0.564102i $$-0.190778\pi$$
−0.901379 + 0.433031i $$0.857444\pi$$
$$480$$ −1.79174e16 3.10339e16i −0.0668663 0.115816i
$$481$$ −5.94421e16 + 1.02957e17i −0.218852 + 0.379063i
$$482$$ 1.36814e17 0.496965
$$483$$ 1.64188e16 + 4.81131e16i 0.0588418 + 0.172428i
$$484$$ −1.24571e17 −0.440476
$$485$$ 1.15407e17 1.99891e17i 0.402635 0.697384i
$$486$$ 9.64009e16 + 1.66971e17i 0.331853 + 0.574786i
$$487$$ −5.31091e16 9.19877e16i −0.180398 0.312458i 0.761618 0.648026i $$-0.224405\pi$$
−0.942016 + 0.335568i $$0.891072\pi$$
$$488$$ 5.79298e15 1.00337e16i 0.0194166 0.0336305i
$$489$$ −3.26060e16 −0.107843
$$490$$ 3.91187e17 + 1.60558e17i 1.27676 + 0.524031i
$$491$$ 2.75703e16 0.0887998 0.0443999 0.999014i $$-0.485862\pi$$
0.0443999 + 0.999014i $$0.485862\pi$$
$$492$$ −2.57673e16 + 4.46302e16i −0.0819021 + 0.141859i
$$493$$ −2.34303e17 4.05825e17i −0.734976 1.27302i
$$494$$ −8.09493e16 1.40208e17i −0.250604 0.434059i
$$495$$ −9.36481e16 + 1.62203e17i −0.286131 + 0.495594i
$$496$$ −7.36611e16 −0.222130
$$497$$ 1.26613e17 + 3.71021e17i 0.376843 + 1.10429i
$$498$$ 6.22532e15 0.0182882
$$499$$ −2.30486e17 + 3.99213e17i −0.668329 + 1.15758i 0.310042 + 0.950723i $$0.399657\pi$$
−0.978371 + 0.206857i $$0.933677\pi$$
$$500$$ 3.08480e17 + 5.34303e17i 0.882921 + 1.52926i
$$501$$ 7.56566e16 + 1.31041e17i 0.213748 + 0.370222i
$$502$$ −4.08953e16 + 7.08328e16i −0.114051 + 0.197542i
$$503$$ −5.56693e17 −1.53258 −0.766291 0.642494i $$-0.777900\pi$$
−0.766291 + 0.642494i $$0.777900\pi$$
$$504$$ −1.08459e17 2.13920e16i −0.294760 0.0581371i
$$505$$ 6.42986e17 1.72507
$$506$$ 2.16493e16 3.74977e16i 0.0573410 0.0993175i
$$507$$ 3.76330e16 + 6.51823e16i 0.0984050 + 0.170442i
$$508$$ −9.48107e16 1.64217e17i −0.244762 0.423939i
$$509$$ −2.46492e17 + 4.26937e17i −0.628257 + 1.08817i 0.359644 + 0.933090i $$0.382898\pi$$
−0.987901 + 0.155084i $$0.950435\pi$$
$$510$$ 2.03522e17 0.512159
$$511$$ 2.97720e16 3.40592e16i 0.0739729 0.0846250i
$$512$$ −1.80144e16 −0.0441942
$$513$$ 1.49513e17 2.58964e17i 0.362173 0.627302i
$$514$$ −1.50281e17 2.60295e17i −0.359455 0.622595i
$$515$$ −6.49603e17 1.12515e18i −1.53427 2.65743i
$$516$$ −2.26009e15 + 3.91459e15i −0.00527112 + 0.00912984i
$$517$$ −2.55514e17 −0.588473
$$518$$ 1.27655e17 1.46037e17i 0.290332 0.332140i
$$519$$ 5.09879e15 0.0114520
$$520$$ 1.09135e17 1.89027e17i 0.242070 0.419278i
$$521$$ 2.89798e17 + 5.01944e17i 0.634819 + 1.09954i 0.986553 + 0.163439i $$0.0522586\pi$$
−0.351735 + 0.936100i $$0.614408\pi$$
$$522$$ −2.13211e17 3.69293e17i −0.461266 0.798937i
$$523$$ 6.21615e16 1.07667e17i 0.132819 0.230049i −0.791943 0.610595i $$-0.790930\pi$$
0.924762 + 0.380546i $$0.124264\pi$$
$$524$$ 8.67164e16 0.182999
$$525$$ −5.12568e17 1.01097e17i −1.06836 0.210718i
$$526$$ −6.04822e17 −1.24515
$$527$$ 2.09177e17 3.62305e17i 0.425348 0.736725i
$$528$$ −8.32287e15 1.44156e16i −0.0167168 0.0289543i
$$529$$ 1.96335e17 + 3.40061e17i 0.389525 + 0.674676i
$$530$$ 3.73846e17 6.47520e17i 0.732655 1.26900i
$$531$$ −7.46177e17 −1.44453
$$532$$ 8.53106e16 + 2.49991e17i 0.163146 + 0.478077i
$$533$$ −3.13896e17 −0.593006
$$534$$ −8.58935e16 + 1.48772e17i −0.160303 + 0.277653i
$$535$$ −1.28274e17 2.22177e17i −0.236505 0.409638i
$$536$$ −1.59138e16 2.75635e16i −0.0289869 0.0502068i
$$537$$ −1.07380e17 + 1.85988e17i −0.193237 + 0.334696i
$$538$$ −2.22274e17 −0.395189
$$539$$ 1.81712e17 + 7.45812e16i 0.319195 + 0.131009i
$$540$$ 4.03143e17 0.699680
$$541$$ −4.09563e16 + 7.09384e16i −0.0702325 + 0.121646i −0.899003 0.437942i $$-0.855707\pi$$
0.828771 + 0.559588i $$0.189041\pi$$
$$542$$ 1.49657e17 + 2.59213e17i 0.253572 + 0.439200i
$$543$$ 2.64630e15 + 4.58352e15i 0.00443037 + 0.00767362i
$$544$$ 5.11558e16 8.86045e16i 0.0846257 0.146576i
$$545$$ 1.00262e18 1.63892
$$546$$ 3.84467e16 + 1.12663e17i 0.0621023 + 0.181982i
$$547$$ −3.99955e17 −0.638402 −0.319201 0.947687i $$-0.603414\pi$$
−0.319201 + 0.947687i $$0.603414\pi$$
$$548$$ 8.10835e16 1.40441e17i 0.127897 0.221523i
$$549$$ 2.99391e16 + 5.18561e16i 0.0466679 + 0.0808312i
$$550$$ 2.22484e17 + 3.85353e17i 0.342721 + 0.593610i
$$551$$ −5.09448e17 + 8.82391e17i −0.775559 + 1.34331i
$$552$$ −4.28141e16 −0.0644144
$$553$$ −7.73453e17 1.52552e17i −1.15006 0.226832i
$$554$$ 4.58432e17 0.673692
$$555$$ −1.62474e17 + 2.81413e17i −0.235982 + 0.408733i
$$556$$ −1.90265e15 3.29548e15i −0.00273132 0.00473078i
$$557$$ 5.23201e17 + 9.06211e17i 0.742352 + 1.28579i 0.951422 + 0.307891i $$0.0996232\pi$$
−0.209069 + 0.977901i $$0.567043\pi$$
$$558$$ 1.90347e17 3.29690e17i 0.266946 0.462364i
$$559$$ −2.75324e16 −0.0381651
$$560$$ −2.34373e17 + 2.68122e17i −0.321133 + 0.367376i
$$561$$ 9.45384e16 0.128041
$$562$$ −1.16981e17 + 2.02616e17i −0.156613 + 0.271261i
$$563$$ −3.38309e17 5.85968e17i −0.447722 0.775478i 0.550515 0.834825i $$-0.314431\pi$$
−0.998237 + 0.0593473i $$0.981098\pi$$
$$564$$ 1.26328e17 + 2.18806e17i 0.165266 + 0.286250i
$$565$$ 6.53160e17 1.13131e18i 0.844705 1.46307i
$$566$$ −2.59925e16 −0.0332309
$$567$$ 2.97786e17 3.40667e17i 0.376370 0.430567i
$$568$$ −3.30158e17 −0.412532
$$569$$ 5.76178e17 9.97969e17i 0.711749 1.23279i −0.252451 0.967610i $$-0.581237\pi$$
0.964200 0.265176i $$-0.0854300\pi$$
$$570$$ −2.21260e17 3.83233e17i −0.270219 0.468033i
$$571$$ 6.95800e17 + 1.20516e18i 0.840137 + 1.45516i 0.889779 + 0.456392i $$0.150859\pi$$
−0.0496423 + 0.998767i $$0.515808\pi$$
$$572$$ 5.06945e16 8.78054e16i 0.0605183 0.104821i
$$573$$ 2.92496e17 0.345235
$$574$$ 5.02458e17 + 9.91026e16i 0.586372 + 0.115653i
$$575$$ 1.14449e18 1.32060
$$576$$ 4.65508e16 8.06283e16i 0.0531106 0.0919902i
$$577$$ 6.39661e17 + 1.10793e18i 0.721618 + 1.24988i 0.960351 + 0.278794i $$0.0899346\pi$$
−0.238733 + 0.971085i $$0.576732\pi$$
$$578$$ −2.64100e16 4.57434e16i −0.0294603 0.0510267i
$$579$$ 1.11497e17 1.93119e17i 0.122986 0.213017i
$$580$$ −1.37366e18 −1.49830
$$581$$ −1.99806e16 5.85504e16i −0.0215508 0.0631517i
$$582$$ −1.06017e17 −0.113077
$$583$$ 1.73656e17 3.00781e17i 0.183166 0.317253i
$$584$$ 1.90488e16 + 3.29935e16i 0.0198694 + 0.0344148i
$$585$$ 5.64027e17 + 9.76924e17i 0.581818 + 1.00774i
$$586$$ −4.81759e16 + 8.34431e16i −0.0491468 + 0.0851248i
$$587$$ −5.72711e17 −0.577813 −0.288907 0.957357i $$-0.593292\pi$$
−0.288907 + 0.957357i $$0.593292\pi$$
$$588$$ −2.59726e16 1.92479e17i −0.0259157 0.192058i
$$589$$ −9.09632e17 −0.897669
$$590$$ −1.20185e18 + 2.08167e18i −1.17304 + 2.03177i
$$591$$ 2.07957e17 + 3.60192e17i 0.200750 + 0.347708i
$$592$$ 8.16767e16 + 1.41468e17i 0.0779842 + 0.135073i
$$593$$ 5.24473e17 9.08413e17i 0.495299 0.857883i −0.504686 0.863303i $$-0.668392\pi$$
0.999985 + 0.00541985i $$0.00172520\pi$$
$$594$$ 1.87265e17 0.174922
$$595$$ −6.53218e17 1.91416e18i −0.603528 1.76856i
$$596$$ 7.19683e17 0.657719
$$597$$ 3.55760e17 6.16194e17i 0.321606 0.557037i
$$598$$ −1.30390e17 2.25842e17i −0.116597 0.201952i
$$599$$ −3.84295e17 6.65618e17i −0.339931 0.588777i 0.644489 0.764614i $$-0.277070\pi$$
−0.984419 + 0.175837i $$0.943737\pi$$
$$600$$ 2.19994e17 3.81042e17i 0.192499 0.333418i
$$601$$ −9.28666e16 −0.0803851 −0.0401926 0.999192i $$-0.512797\pi$$
−0.0401926 + 0.999192i $$0.512797\pi$$
$$602$$ 4.40715e16 + 8.69245e15i 0.0377381 + 0.00744329i
$$603$$ 1.64490e17 0.139341
$$604$$ 5.01666e17 8.68911e17i 0.420411 0.728174i
$$605$$ −1.03696e18 1.79607e18i −0.859714 1.48907i
$$606$$ −1.47667e17 2.55766e17i −0.121119 0.209784i
$$607$$ −7.85335e17 + 1.36024e18i −0.637278 + 1.10380i 0.348750 + 0.937216i $$0.386606\pi$$
−0.986028 + 0.166581i $$0.946727\pi$$
$$608$$ −2.22458e17 −0.178597
$$609$$ 4.93062e17 5.64063e17i 0.391642 0.448038i
$$610$$ 1.92890e17 0.151588
$$611$$ −7.69461e17 + 1.33274e18i −0.598299 + 1.03628i
$$612$$ 2.64382e17 + 4.57924e17i 0.203399 + 0.352297i
$$613$$ −6.44651e17 1.11657e18i −0.490718 0.849948i 0.509225 0.860633i $$-0.329932\pi$$
−0.999943 + 0.0106854i $$0.996599\pi$$
$$614$$ −6.37617e17 + 1.10438e18i −0.480248 + 0.831813i
$$615$$ −8.57976e17 −0.639421
$$616$$ −1.08869e17 + 1.24546e17i −0.0802842 + 0.0918452i
$$617$$ 8.41398e17 0.613971 0.306985 0.951714i $$-0.400680\pi$$
0.306985 + 0.951714i $$0.400680\pi$$
$$618$$ −2.98373e17 + 5.16797e17i −0.215444 + 0.373160i
$$619$$ 5.89250e17 + 1.02061e18i 0.421028 + 0.729241i 0.996040 0.0889034i $$-0.0283362\pi$$
−0.575013 + 0.818144i $$0.695003\pi$$
$$620$$ −6.13176e17 1.06205e18i −0.433550 0.750931i
$$621$$ 2.40830e17 4.17130e17i 0.168506 0.291861i
$$622$$ 2.82893e15 0.00195878
$$623$$ 1.67491e18 + 3.30352e17i 1.14768 + 0.226362i
$$624$$ −1.00255e17 −0.0679836
$$625$$ −3.04254e18 + 5.26983e18i −2.04181 + 3.53652i
$$626$$ 1.35999e17 + 2.35557e17i 0.0903240 + 0.156446i
$$627$$ −1.02778e17 1.78017e17i −0.0675556 0.117010i
$$628$$ −7.24195e16 + 1.25434e17i −0.0471105 + 0.0815978i
$$629$$ −9.27755e17 −0.597316
$$630$$ −5.94415e17 1.74185e18i −0.378770 1.10993i
$$631$$ −1.91515e17 −0.120785 −0.0603923 0.998175i $$-0.519235\pi$$
−0.0603923 + 0.998175i $$0.519235\pi$$
$$632$$ 3.31966e17 5.74982e17i 0.207220 0.358916i
$$633$$ 2.46795e16 + 4.27462e16i 0.0152480 + 0.0264103i
$$634$$ 3.52205e17 + 6.10038e17i 0.215385 + 0.373058i
$$635$$ 1.57846e18 2.73398e18i 0.955444 1.65488i
$$636$$ −3.43426e17 −0.205761
$$637$$ 9.36220e17 7.23199e17i 0.555228 0.428896i
$$638$$ −6.38084e17 −0.374579
$$639$$ 8.53156e17 1.47771e18i 0.495762 0.858685i
$$640$$ −1.49957e17 2.59733e17i −0.0862575 0.149402i
$$641$$ 7.31765e17 + 1.26745e18i 0.416672 + 0.721697i 0.995602 0.0936800i $$-0.0298631\pi$$
−0.578930 + 0.815377i $$0.696530\pi$$
$$642$$ −5.89183e16 + 1.02050e17i −0.0332103 + 0.0575219i
$$643$$ −1.79993e18 −1.00435 −0.502173 0.864767i $$-0.667466\pi$$
−0.502173 + 0.864767i $$0.667466\pi$$
$$644$$ 1.37415e17 + 4.02676e17i 0.0759060 + 0.222432i
$$645$$ −7.52545e16 −0.0411523
$$646$$ 6.31717e17 1.09417e18i 0.341988 0.592341i
$$647$$ −1.13239e18 1.96136e18i −0.606902 1.05119i −0.991748 0.128204i $$-0.959079\pi$$
0.384846 0.922981i $$-0.374255\pi$$
$$648$$ 1.90530e17 + 3.30008e17i 0.101094 + 0.175101i
$$649$$ −5.58277e17 + 9.66964e17i −0.293264 + 0.507949i
$$650$$ 2.67997e18 1.39377
$$651$$ 6.56201e17 + 1.29426e17i 0.337878 + 0.0666415i
$$652$$ −2.72891e17 −0.139117
$$653$$ 9.13054e17 1.58146e18i 0.460851 0.798218i −0.538152 0.842848i $$-0.680877\pi$$
0.999004 + 0.0446297i $$0.0142108\pi$$
$$654$$ −2.30259e17 3.98821e17i −0.115070 0.199307i
$$655$$ 7.21852e17 + 1.25029e18i 0.357174 + 0.618644i
$$656$$ −2.15655e17 + 3.73526e17i −0.105654 + 0.182998i
$$657$$ −1.96895e17 −0.0955126
$$658$$ 1.65246e18 1.89041e18i 0.793711 0.908005i
$$659$$ 1.72001e18 0.818044 0.409022 0.912525i $$-0.365870\pi$$
0.409022 + 0.912525i $$0.365870\pi$$
$$660$$ 1.38564e17 2.40000e17i 0.0652551 0.113025i
$$661$$ −7.91910e16 1.37163e17i −0.0369289 0.0639627i 0.846970 0.531640i $$-0.178424\pi$$
−0.883899 + 0.467678i $$0.845091\pi$$
$$662$$ 1.35473e18 + 2.34645e18i 0.625568 + 1.08352i
$$663$$ 2.84695e17 4.93106e17i 0.130179 0.225477i
$$664$$ 5.21019e16 0.0235918
$$665$$ −2.89424e18 + 3.31101e18i −1.29776 + 1.48464i
$$666$$ −8.44238e17 −0.374872
$$667$$ −8.20601e17 + 1.42132e18i −0.360839 + 0.624992i
$$668$$ 6.33196e17 + 1.09673e18i 0.275735 + 0.477587i
$$669$$ 1.91387e17 + 3.31492e17i 0.0825358 + 0.142956i
$$670$$ 2.64942e17 4.58892e17i 0.113152 0.195986i
$$671$$ 8.95997e16 0.0378975
$$672$$ 1.60479e17 + 3.16521e16i 0.0672230 + 0.0132587i
$$673$$ −2.70067e18 −1.12040 −0.560201 0.828356i $$-0.689276\pi$$
−0.560201 + 0.828356i $$0.689276\pi$$
$$674$$ 9.00675e17 1.56002e18i 0.370066 0.640973i
$$675$$ 2.47494e18 + 4.28673e18i 1.00714 + 1.74442i
$$676$$ 3.14964e17 + 5.45533e17i 0.126942 + 0.219871i
$$677$$ 1.21728e18 2.10839e18i 0.485919 0.841637i −0.513950 0.857820i $$-0.671818\pi$$
0.999869 + 0.0161835i $$0.00515159\pi$$
$$678$$ −6.00014e17 −0.237229
$$679$$ 3.40268e17 + 9.97108e17i 0.133250 + 0.390471i
$$680$$ 1.70334e18 0.660685
$$681$$ −6.86319e16 + 1.18874e17i −0.0263676 + 0.0456700i
$$682$$ −2.84828e17 4.93337e17i −0.108389 0.187735i
$$683$$ −7.37572e16 1.27751e17i −0.0278016 0.0481538i 0.851790 0.523884i $$-0.175517\pi$$
−0.879591 + 0.475730i $$0.842184\pi$$
$$684$$ 5.74850e17 9.95669e17i 0.214630 0.371749i
$$685$$ 2.69985e18 0.998506
$$686$$ −1.72695e18 + 8.62055e17i −0.632663 + 0.315812i
$$687$$ −1.50490e18 −0.546120
$$688$$ −1.89155e16 + 3.27626e16i −0.00679974 + 0.0117775i
$$689$$ −1.04590e18 1.81156e18i −0.372449 0.645100i
$$690$$ −3.56397e17 6.17298e17i −0.125723 0.217759i
$$691$$ 1.28877e18 2.23222e18i 0.450369 0.780062i −0.548040 0.836452i $$-0.684626\pi$$
0.998409 + 0.0563901i $$0.0179591\pi$$
$$692$$ 4.26736e16 0.0147730
$$693$$ −2.76113e17 8.09112e17i −0.0946938 0.277487i
$$694$$ 1.75389e18 0.595888
$$695$$ 3.16764e16 5.48651e16i 0.0106619 0.0184669i
$$696$$ 3.15472e17 + 5.46414e17i 0.105196 + 0.182206i
$$697$$ −1.22480e18 2.12142e18i −0.404625 0.700831i
$$698$$ −1.66436e18 + 2.88276e18i −0.544737 + 0.943513i
$$699$$ 1.52026e18 0.492965
$$700$$ −4.28986e18 8.46113e17i −1.37818 0.271826i
$$701$$ −1.66664e18 −0.530486 −0.265243 0.964182i $$-0.585452\pi$$
−0.265243 + 0.964182i $$0.585452\pi$$
$$702$$ 5.63933e17 9.76761e17i 0.177843 0.308033i
$$703$$ 1.00861e18 + 1.74697e18i 0.315149 + 0.545854i
$$704$$ −6.96570e16 1.20649e17i −0.0215646 0.0373511i
$$705$$ −2.10318e18 + 3.64281e18i −0.645129 + 1.11740i
$$706$$ −1.31438e18 −0.399475
$$707$$ −1.93159e18 + 2.20974e18i −0.581686 + 0.665449i
$$708$$ 1.10406e18 0.329440
$$709$$ 2.58063e18 4.46978e18i 0.763000 1.32156i −0.178297 0.983977i $$-0.557059\pi$$
0.941297 0.337578i $$-0.109608\pi$$
$$710$$ −2.74833e18 4.76024e18i −0.805173 1.39460i
$$711$$ 1.71566e18 + 2.97161e18i 0.498056 + 0.862659i
$$712$$ −7.18873e17 + 1.24512e18i −0.206791 + 0.358173i
$$713$$ −1.46520e18 −0.417653
$$714$$ −6.11397e17 + 6.99439e17i −0.172697 + 0.197566i
$$715$$ 1.68798e18 0.472475
$$716$$ −8.98700e17 + 1.55659e18i −0.249276 + 0.431758i
$$717$$ −1.24406e18 2.15477e18i −0.341952 0.592279i
$$718$$ 1.56609e17 + 2.71254e17i 0.0426587 + 0.0738870i
$$719$$ −1.80992e18 + 3.13488e18i −0.488565 + 0.846220i −0.999913 0.0131535i $$-0.995813\pi$$
0.511348 + 0.859374i $$0.329146\pi$$
$$720$$ 1.55001e18 0.414641
$$721$$ 5.81823e18 + 1.14756e18i 1.54245 + 0.304226i
$$722$$ −5.57094e16 −0.0146365
$$723$$ 5.23106e17 9.06047e17i 0.136204 0.235913i
$$724$$ 2.21478e16 + 3.83611e16i 0.00571518 + 0.00989898i
$$725$$ −8.43309e18 1.46065e19i −2.15670 3.73551i
$$726$$ −4.76294e17 + 8.24965e17i −0.120722 + 0.209097i
$$727$$ −4.45477e18 −1.11906 −0.559528 0.828811i $$-0.689018\pi$$
−0.559528 + 0.828811i $$0.689018\pi$$
$$728$$ 3.21774e17 + 9.42915e17i 0.0801120 + 0.234757i
$$729$$ −8.43212e17 −0.208069
$$730$$ −3.17136e17 + 5.49295e17i −0.0775616 + 0.134341i
$$731$$ −1.07429e17 1.86073e17i −0.0260411 0.0451046i
$$732$$ −4.42986e16 7.67274e16i −0.0106431 0.0184344i
$$733$$ 7.49497e17 1.29817e18i 0.178482 0.309139i −0.762879 0.646541i $$-0.776215\pi$$
0.941361 + 0.337402i $$0.109548\pi$$
$$734$$ −7.72764e15 −0.00182399
$$735$$ 2.55898e18 1.97673e18i 0.598687 0.462466i
$$736$$ −3.58326e17 −0.0830946
$$737$$ 1.23069e17 2.13161e17i 0.0282885 0.0489971i
$$738$$ −1.11454e18 1.93045e18i −0.253940 0.439837i
$$739$$ −9.95675e17 1.72456e18i −0.224869 0.389484i 0.731411 0.681936i $$-0.238862\pi$$
−0.956280 + 0.292453i $$0.905529\pi$$
$$740$$ −1.35980e18 + 2.35524e18i −0.304417 + 0.527266i
$$741$$ −1.23803e18 −0.274734
$$742$$ 1.10225e18 + 3.23000e18i 0.242469 + 0.710521i
$$743$$ −3.75670e18 −0.819179 −0.409590 0.912270i $$-0.634328\pi$$
−0.409590 + 0.912270i $$0.634328\pi$$
$$744$$ −2.81641e17 + 4.87817e17i −0.0608797 + 0.105447i
$$745$$ 5.99085e18 + 1.03764e19i 1.28373 + 2.22348i
$$746$$ −4.71863e17 8.17291e17i −0.100234 0.173610i
$$747$$ −1.34636e17 + 2.33196e17i −0.0283515 + 0.0491063i
$$748$$ 7.91225e17 0.165173
$$749$$ 1.14890e18 + 2.26604e17i 0.237766 + 0.0468959i
$$750$$ 4.71786e18 0.967937
$$751$$ 4.62860e18 8.01697e18i 0.941435 1.63061i 0.178697 0.983904i $$-0.442812\pi$$
0.762737 0.646708i $$-0.223855\pi$$
$$752$$ 1.05728e18 + 1.83126e18i 0.213194 + 0.369262i
$$753$$ 3.12725e17 + 5.41655e17i 0.0625165 + 0.108282i
$$754$$ −1.92154e18 + 3.32820e18i −0.380833 + 0.659623i
$$755$$ 1.67040e19 3.28221
$$756$$ −1.21108e18 + 1.38547e18i −0.235928 + 0.269902i
$$757$$ 9.65926e17 0.186561 0.0932805 0.995640i $$-0.470265\pi$$