Properties

Label 14.14.c.b.9.1
Level $14$
Weight $14$
Character 14.9
Analytic conductor $15.012$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 9.1
Root \(-35.6648 - 61.7733i\) of defining polynomial
Character \(\chi\) \(=\) 14.9
Dual form 14.14.c.b.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(32.0000 - 55.4256i) q^{2} +(-746.854 - 1293.59i) q^{3} +(-2048.00 - 3547.24i) q^{4} +(-7178.20 + 12433.0i) q^{5} -95597.3 q^{6} +(-302505. - 73348.4i) q^{7} -262144. q^{8} +(-318420. + 551520. i) q^{9} +O(q^{10})\) \(q+(32.0000 - 55.4256i) q^{2} +(-746.854 - 1293.59i) q^{3} +(-2048.00 - 3547.24i) q^{4} +(-7178.20 + 12433.0i) q^{5} -95597.3 q^{6} +(-302505. - 73348.4i) q^{7} -262144. q^{8} +(-318420. + 551520. i) q^{9} +(459405. + 795712. i) q^{10} +(2.14272e6 + 3.71130e6i) q^{11} +(-3.05911e6 + 5.29854e6i) q^{12} +5.50861e6 q^{13} +(-1.37455e7 + 1.44194e7i) q^{14} +2.14443e7 q^{15} +(-8.38861e6 + 1.45295e7i) q^{16} +(1.98554e7 + 3.43905e7i) q^{17} +(2.03789e7 + 3.52973e7i) q^{18} +(-2.25114e7 + 3.89910e7i) q^{19} +5.88038e7 q^{20} +(1.31044e8 + 4.46097e8i) q^{21} +2.74268e8 q^{22} +(-3.77343e8 + 6.53577e8i) q^{23} +(1.95783e8 + 3.39107e8i) q^{24} +(5.07299e8 + 8.78667e8i) q^{25} +(1.76275e8 - 3.05318e8i) q^{26} -1.43020e9 q^{27} +(3.59345e8 + 1.22327e9i) q^{28} -2.46353e9 q^{29} +(6.86216e8 - 1.18856e9i) q^{30} +(-3.06703e9 - 5.31225e9i) q^{31} +(5.36871e8 + 9.29888e8i) q^{32} +(3.20060e9 - 5.54359e9i) q^{33} +2.54149e9 q^{34} +(3.08338e9 - 3.23453e9i) q^{35} +2.60850e9 q^{36} +(9.52417e9 - 1.64963e10i) q^{37} +(1.44073e9 + 2.49542e9i) q^{38} +(-4.11413e9 - 7.12588e9i) q^{39} +(1.88172e9 - 3.25924e9i) q^{40} -4.23093e10 q^{41} +(2.89186e10 + 7.01191e9i) q^{42} -7.42867e10 q^{43} +(8.77657e9 - 1.52015e10i) q^{44} +(-4.57137e9 - 7.91784e9i) q^{45} +(2.41499e10 + 4.18289e10i) q^{46} +(-4.03508e10 + 6.98897e10i) q^{47} +2.50603e10 q^{48} +(8.61290e10 + 4.43764e10i) q^{49} +6.49342e10 q^{50} +(2.96581e10 - 5.13694e10i) q^{51} +(-1.12816e10 - 1.95404e10i) q^{52} +(1.10539e11 + 1.91459e11i) q^{53} +(-4.57664e10 + 7.92697e10i) q^{54} -6.15234e10 q^{55} +(7.92998e10 + 1.92278e10i) q^{56} +6.72511e10 q^{57} +(-7.88329e10 + 1.36543e11i) q^{58} +(-2.29890e11 - 3.98181e11i) q^{59} +(-4.39178e10 - 7.60679e10i) q^{60} +(-3.23925e10 + 5.61055e10i) q^{61} -3.92580e11 q^{62} +(1.36777e11 - 1.43482e11i) q^{63} +6.87195e10 q^{64} +(-3.95419e10 + 6.84885e10i) q^{65} +(-2.04838e11 - 3.54790e11i) q^{66} +(2.07214e11 + 3.58905e11i) q^{67} +(8.13276e10 - 1.40864e11i) q^{68} +1.12728e12 q^{69} +(-8.06078e10 - 2.74403e11i) q^{70} -6.38110e11 q^{71} +(8.34720e10 - 1.44578e11i) q^{72} +(-2.92998e11 - 5.07488e11i) q^{73} +(-6.09547e11 - 1.05577e12i) q^{74} +(7.57756e11 - 1.31247e12i) q^{75} +1.84414e11 q^{76} +(-3.75965e11 - 1.27985e12i) q^{77} -5.26608e11 q^{78} +(-1.22943e12 + 2.12943e12i) q^{79} +(-1.20430e11 - 2.08591e11i) q^{80} +(1.57581e12 + 2.72939e12i) q^{81} +(-1.35390e12 + 2.34502e12i) q^{82} +3.32114e12 q^{83} +(1.31404e12 - 1.37845e12i) q^{84} -5.70103e11 q^{85} +(-2.37717e12 + 4.11739e12i) q^{86} +(1.83990e12 + 3.18679e12i) q^{87} +(-5.61701e11 - 9.72894e11i) q^{88} +(1.39203e12 - 2.41106e12i) q^{89} -5.85135e11 q^{90} +(-1.66638e12 - 4.04047e11i) q^{91} +3.09119e12 q^{92} +(-4.58125e12 + 7.93495e12i) q^{93} +(2.58245e12 + 4.47294e12i) q^{94} +(-3.23183e11 - 5.59770e11i) q^{95} +(8.01928e11 - 1.38898e12i) q^{96} -7.80467e12 q^{97} +(5.21572e12 - 3.35371e12i) q^{98} -2.72914e12 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 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 32.0000 55.4256i 0.353553 0.612372i
\(3\) −746.854 1293.59i −0.591490 1.02449i −0.994032 0.109090i \(-0.965206\pi\)
0.402542 0.915402i \(-0.368127\pi\)
\(4\) −2048.00 3547.24i −0.250000 0.433013i
\(5\) −7178.20 + 12433.0i −0.205452 + 0.355853i −0.950277 0.311407i \(-0.899200\pi\)
0.744825 + 0.667260i \(0.232533\pi\)
\(6\) −95597.3 −0.836494
\(7\) −302505. 73348.4i −0.971840 0.235642i
\(8\) −262144. −0.353553
\(9\) −318420. + 551520.i −0.199721 + 0.345928i
\(10\) 459405. + 795712.i 0.145276 + 0.251626i
\(11\) 2.14272e6 + 3.71130e6i 0.364681 + 0.631645i 0.988725 0.149744i \(-0.0478449\pi\)
−0.624044 + 0.781389i \(0.714512\pi\)
\(12\) −3.05911e6 + 5.29854e6i −0.295745 + 0.512246i
\(13\) 5.50861e6 0.316527 0.158263 0.987397i \(-0.449411\pi\)
0.158263 + 0.987397i \(0.449411\pi\)
\(14\) −1.37455e7 + 1.44194e7i −0.487898 + 0.511816i
\(15\) 2.14443e7 0.486091
\(16\) −8.38861e6 + 1.45295e7i −0.125000 + 0.216506i
\(17\) 1.98554e7 + 3.43905e7i 0.199508 + 0.345558i 0.948369 0.317169i \(-0.102732\pi\)
−0.748861 + 0.662727i \(0.769399\pi\)
\(18\) 2.03789e7 + 3.52973e7i 0.141224 + 0.244608i
\(19\) −2.25114e7 + 3.89910e7i −0.109775 + 0.190137i −0.915679 0.401910i \(-0.868346\pi\)
0.805904 + 0.592046i \(0.201680\pi\)
\(20\) 5.88038e7 0.205452
\(21\) 1.31044e8 + 4.46097e8i 0.333420 + 1.13502i
\(22\) 2.74268e8 0.515736
\(23\) −3.77343e8 + 6.53577e8i −0.531502 + 0.920589i 0.467822 + 0.883823i \(0.345039\pi\)
−0.999324 + 0.0367661i \(0.988294\pi\)
\(24\) 1.95783e8 + 3.39107e8i 0.209123 + 0.362212i
\(25\) 5.07299e8 + 8.78667e8i 0.415579 + 0.719804i
\(26\) 1.76275e8 3.05318e8i 0.111909 0.193832i
\(27\) −1.43020e9 −0.710447
\(28\) 3.59345e8 + 1.22327e9i 0.140924 + 0.479730i
\(29\) −2.46353e9 −0.769078 −0.384539 0.923109i \(-0.625640\pi\)
−0.384539 + 0.923109i \(0.625640\pi\)
\(30\) 6.86216e8 1.18856e9i 0.171859 0.297669i
\(31\) −3.06703e9 5.31225e9i −0.620679 1.07505i −0.989360 0.145491i \(-0.953524\pi\)
0.368681 0.929556i \(-0.379810\pi\)
\(32\) 5.36871e8 + 9.29888e8i 0.0883883 + 0.153093i
\(33\) 3.20060e9 5.54359e9i 0.431410 0.747224i
\(34\) 2.54149e9 0.282147
\(35\) 3.08338e9 3.23453e9i 0.283520 0.297419i
\(36\) 2.60850e9 0.199721
\(37\) 9.52417e9 1.64963e10i 0.610261 1.05700i −0.380935 0.924602i \(-0.624398\pi\)
0.991196 0.132401i \(-0.0422688\pi\)
\(38\) 1.44073e9 + 2.49542e9i 0.0776229 + 0.134447i
\(39\) −4.11413e9 7.12588e9i −0.187222 0.324279i
\(40\) 1.88172e9 3.25924e9i 0.0726382 0.125813i
\(41\) −4.23093e10 −1.39104 −0.695522 0.718505i \(-0.744827\pi\)
−0.695522 + 0.718505i \(0.744827\pi\)
\(42\) 2.89186e10 + 7.01191e9i 0.812938 + 0.197113i
\(43\) −7.42867e10 −1.79212 −0.896058 0.443937i \(-0.853581\pi\)
−0.896058 + 0.443937i \(0.853581\pi\)
\(44\) 8.77657e9 1.52015e10i 0.182340 0.315823i
\(45\) −4.57137e9 7.91784e9i −0.0820663 0.142143i
\(46\) 2.41499e10 + 4.18289e10i 0.375829 + 0.650955i
\(47\) −4.03508e10 + 6.98897e10i −0.546030 + 0.945751i 0.452512 + 0.891758i \(0.350528\pi\)
−0.998541 + 0.0539926i \(0.982805\pi\)
\(48\) 2.50603e10 0.295745
\(49\) 8.61290e10 + 4.43764e10i 0.888945 + 0.458013i
\(50\) 6.49342e10 0.587717
\(51\) 2.96581e10 5.13694e10i 0.236014 0.408788i
\(52\) −1.12816e10 1.95404e10i −0.0791316 0.137060i
\(53\) 1.10539e11 + 1.91459e11i 0.685049 + 1.18654i 0.973421 + 0.229021i \(0.0735526\pi\)
−0.288372 + 0.957518i \(0.593114\pi\)
\(54\) −4.57664e10 + 7.92697e10i −0.251181 + 0.435058i
\(55\) −6.15234e10 −0.299697
\(56\) 7.92998e10 + 1.92278e10i 0.343597 + 0.0833121i
\(57\) 6.72511e10 0.259724
\(58\) −7.88329e10 + 1.36543e11i −0.271910 + 0.470962i
\(59\) −2.29890e11 3.98181e11i −0.709548 1.22897i −0.965025 0.262158i \(-0.915566\pi\)
0.255477 0.966815i \(-0.417767\pi\)
\(60\) −4.39178e10 7.60679e10i −0.121523 0.210484i
\(61\) −3.23925e10 + 5.61055e10i −0.0805009 + 0.139432i −0.903465 0.428661i \(-0.858985\pi\)
0.822964 + 0.568093i \(0.192319\pi\)
\(62\) −3.92580e11 −0.877772
\(63\) 1.36777e11 1.43482e11i 0.275612 0.289123i
\(64\) 6.87195e10 0.125000
\(65\) −3.95419e10 + 6.84885e10i −0.0650310 + 0.112637i
\(66\) −2.04838e11 3.54790e11i −0.305053 0.528367i
\(67\) 2.07214e11 + 3.58905e11i 0.279855 + 0.484722i 0.971348 0.237660i \(-0.0763804\pi\)
−0.691494 + 0.722382i \(0.743047\pi\)
\(68\) 8.13276e10 1.40864e11i 0.0997540 0.172779i
\(69\) 1.12728e12 1.25751
\(70\) −8.06078e10 2.74403e11i −0.0818917 0.278774i
\(71\) −6.38110e11 −0.591175 −0.295588 0.955316i \(-0.595515\pi\)
−0.295588 + 0.955316i \(0.595515\pi\)
\(72\) 8.34720e10 1.44578e11i 0.0706122 0.122304i
\(73\) −2.92998e11 5.07488e11i −0.226603 0.392488i 0.730196 0.683238i \(-0.239429\pi\)
−0.956799 + 0.290749i \(0.906095\pi\)
\(74\) −6.09547e11 1.05577e12i −0.431520 0.747414i
\(75\) 7.57756e11 1.31247e12i 0.491622 0.851514i
\(76\) 1.84414e11 0.109775
\(77\) −3.75965e11 1.27985e12i −0.205569 0.699792i
\(78\) −5.26608e11 −0.264772
\(79\) −1.22943e12 + 2.12943e12i −0.569019 + 0.985571i 0.427644 + 0.903947i \(0.359344\pi\)
−0.996663 + 0.0816233i \(0.973990\pi\)
\(80\) −1.20430e11 2.08591e11i −0.0513630 0.0889633i
\(81\) 1.57581e12 + 2.72939e12i 0.619944 + 1.07377i
\(82\) −1.35390e12 + 2.34502e12i −0.491808 + 0.851837i
\(83\) 3.32114e12 1.11501 0.557506 0.830173i \(-0.311758\pi\)
0.557506 + 0.830173i \(0.311758\pi\)
\(84\) 1.31404e12 1.37845e12i 0.408124 0.428131i
\(85\) −5.70103e11 −0.163957
\(86\) −2.37717e12 + 4.11739e12i −0.633609 + 1.09744i
\(87\) 1.83990e12 + 3.18679e12i 0.454902 + 0.787913i
\(88\) −5.61701e11 9.72894e11i −0.128934 0.223320i
\(89\) 1.39203e12 2.41106e12i 0.296902 0.514249i −0.678523 0.734579i \(-0.737380\pi\)
0.975426 + 0.220329i \(0.0707132\pi\)
\(90\) −5.85135e11 −0.116059
\(91\) −1.66638e12 4.04047e11i −0.307613 0.0745870i
\(92\) 3.09119e12 0.531502
\(93\) −4.58125e12 + 7.93495e12i −0.734251 + 1.27176i
\(94\) 2.58245e12 + 4.47294e12i 0.386101 + 0.668747i
\(95\) −3.23183e11 5.59770e11i −0.0451071 0.0781279i
\(96\) 8.01928e11 1.38898e12i 0.104562 0.181106i
\(97\) −7.80467e12 −0.951345 −0.475672 0.879622i \(-0.657795\pi\)
−0.475672 + 0.879622i \(0.657795\pi\)
\(98\) 5.21572e12 3.35371e12i 0.594764 0.382434i
\(99\) −2.72914e12 −0.291338
\(100\) 2.07789e12 3.59902e12i 0.207789 0.359902i
\(101\) −6.58305e12 1.14022e13i −0.617076 1.06881i −0.990017 0.140951i \(-0.954984\pi\)
0.372941 0.927855i \(-0.378349\pi\)
\(102\) −1.89812e12 3.28764e12i −0.166887 0.289057i
\(103\) 8.84393e12 1.53181e13i 0.729799 1.26405i −0.227168 0.973855i \(-0.572947\pi\)
0.956968 0.290194i \(-0.0937199\pi\)
\(104\) −1.44405e12 −0.111909
\(105\) −6.48699e12 1.57290e12i −0.472403 0.114544i
\(106\) 1.41490e13 0.968806
\(107\) 7.23079e12 1.25241e13i 0.465791 0.806774i −0.533446 0.845834i \(-0.679103\pi\)
0.999237 + 0.0390602i \(0.0124364\pi\)
\(108\) 2.92905e12 + 5.07326e12i 0.177612 + 0.307633i
\(109\) 7.96586e12 + 1.37973e13i 0.454947 + 0.787991i 0.998685 0.0512639i \(-0.0163250\pi\)
−0.543738 + 0.839255i \(0.682992\pi\)
\(110\) −1.96875e12 + 3.40997e12i −0.105959 + 0.183526i
\(111\) −2.84526e13 −1.44385
\(112\) 3.60331e12 3.77995e12i 0.172498 0.180954i
\(113\) 4.86885e12 0.219997 0.109998 0.993932i \(-0.464915\pi\)
0.109998 + 0.993932i \(0.464915\pi\)
\(114\) 2.15203e12 3.72743e12i 0.0918264 0.159048i
\(115\) −5.41728e12 9.38301e12i −0.218396 0.378274i
\(116\) 5.04530e12 + 8.73872e12i 0.192269 + 0.333020i
\(117\) −1.75405e12 + 3.03811e12i −0.0632171 + 0.109495i
\(118\) −2.94259e13 −1.00345
\(119\) −3.48385e12 1.18597e13i −0.112462 0.382839i
\(120\) −5.62148e12 −0.171859
\(121\) 8.07887e12 1.39930e13i 0.234016 0.405328i
\(122\) 2.07312e12 + 3.59075e12i 0.0569227 + 0.0985930i
\(123\) 3.15989e13 + 5.47309e13i 0.822789 + 1.42511i
\(124\) −1.25626e13 + 2.17590e13i −0.310339 + 0.537524i
\(125\) −3.20908e13 −0.752430
\(126\) −3.57571e12 1.21724e13i −0.0796076 0.270998i
\(127\) 1.02773e12 0.0217347 0.0108674 0.999941i \(-0.496541\pi\)
0.0108674 + 0.999941i \(0.496541\pi\)
\(128\) 2.19902e12 3.80882e12i 0.0441942 0.0765466i
\(129\) 5.54813e13 + 9.60965e13i 1.06002 + 1.83601i
\(130\) 2.53068e12 + 4.38327e12i 0.0459839 + 0.0796464i
\(131\) 3.08691e13 5.34668e13i 0.533654 0.924317i −0.465573 0.885010i \(-0.654152\pi\)
0.999227 0.0393070i \(-0.0125150\pi\)
\(132\) −2.62193e13 −0.431410
\(133\) 9.66974e12 1.01438e13i 0.151488 0.158915i
\(134\) 2.65234e13 0.395774
\(135\) 1.02662e13 1.77817e13i 0.145963 0.252815i
\(136\) −5.20497e12 9.01527e12i −0.0705367 0.122173i
\(137\) 6.61761e13 + 1.14620e14i 0.855102 + 1.48108i 0.876551 + 0.481310i \(0.159839\pi\)
−0.0214489 + 0.999770i \(0.506828\pi\)
\(138\) 3.60730e13 6.24802e13i 0.444598 0.770067i
\(139\) −1.66284e14 −1.95548 −0.977742 0.209810i \(-0.932716\pi\)
−0.977742 + 0.209810i \(0.932716\pi\)
\(140\) −1.77884e13 4.31316e12i −0.199666 0.0484132i
\(141\) 1.20545e14 1.29188
\(142\) −2.04195e13 + 3.53676e13i −0.209012 + 0.362019i
\(143\) 1.18034e13 + 2.04441e13i 0.115431 + 0.199932i
\(144\) −5.34221e12 9.25298e12i −0.0499304 0.0864819i
\(145\) 1.76837e13 3.06290e13i 0.158009 0.273679i
\(146\) −3.75038e13 −0.320465
\(147\) −6.92095e12 1.44558e14i −0.0565722 1.18163i
\(148\) −7.80220e13 −0.610261
\(149\) −8.54482e13 + 1.48001e14i −0.639723 + 1.10803i 0.345770 + 0.938319i \(0.387618\pi\)
−0.985493 + 0.169714i \(0.945716\pi\)
\(150\) −4.84964e13 8.39982e13i −0.347629 0.602111i
\(151\) −1.34805e14 2.33490e14i −0.925458 1.60294i −0.790823 0.612045i \(-0.790347\pi\)
−0.134635 0.990895i \(-0.542986\pi\)
\(152\) 5.90124e12 1.02212e13i 0.0388115 0.0672234i
\(153\) −2.52894e13 −0.159384
\(154\) −8.29673e13 2.01171e13i −0.501213 0.121529i
\(155\) 8.80630e13 0.510079
\(156\) −1.68515e13 + 2.91876e13i −0.0936112 + 0.162139i
\(157\) 2.65409e13 + 4.59702e13i 0.141439 + 0.244979i 0.928039 0.372484i \(-0.121494\pi\)
−0.786600 + 0.617463i \(0.788161\pi\)
\(158\) 7.86834e13 + 1.36284e14i 0.402358 + 0.696904i
\(159\) 1.65113e14 2.85984e14i 0.810400 1.40365i
\(160\) −1.54151e13 −0.0726382
\(161\) 1.62087e14 1.70033e14i 0.733465 0.769421i
\(162\) 2.01704e14 0.876733
\(163\) −1.25923e14 + 2.18105e14i −0.525878 + 0.910847i 0.473668 + 0.880704i \(0.342930\pi\)
−0.999546 + 0.0301433i \(0.990404\pi\)
\(164\) 8.66495e13 + 1.50081e14i 0.347761 + 0.602340i
\(165\) 4.59490e13 + 7.95860e13i 0.177268 + 0.307037i
\(166\) 1.06277e14 1.84076e14i 0.394216 0.682803i
\(167\) −5.21452e12 −0.0186019 −0.00930095 0.999957i \(-0.502961\pi\)
−0.00930095 + 0.999957i \(0.502961\pi\)
\(168\) −3.43524e13 1.16942e14i −0.117882 0.401291i
\(169\) −2.72530e14 −0.899811
\(170\) −1.82433e13 + 3.15983e13i −0.0579676 + 0.100403i
\(171\) −1.43362e13 2.48310e13i −0.0438490 0.0759487i
\(172\) 1.52139e14 + 2.63513e14i 0.448029 + 0.776009i
\(173\) −1.31565e14 + 2.27877e14i −0.373113 + 0.646251i −0.990043 0.140767i \(-0.955043\pi\)
0.616929 + 0.787019i \(0.288376\pi\)
\(174\) 2.35507e14 0.643329
\(175\) −8.90114e13 3.03010e14i −0.234260 0.797462i
\(176\) −7.18977e13 −0.182340
\(177\) −3.43388e14 + 5.94766e14i −0.839381 + 1.45385i
\(178\) −8.90899e13 1.54308e14i −0.209941 0.363629i
\(179\) 1.81035e14 + 3.13562e14i 0.411357 + 0.712490i 0.995038 0.0994921i \(-0.0317218\pi\)
−0.583682 + 0.811982i \(0.698388\pi\)
\(180\) −1.87243e13 + 3.24315e13i −0.0410332 + 0.0710715i
\(181\) −6.76438e14 −1.42994 −0.714969 0.699156i \(-0.753559\pi\)
−0.714969 + 0.699156i \(0.753559\pi\)
\(182\) −7.57187e13 + 7.94306e13i −0.154433 + 0.162003i
\(183\) 9.67699e13 0.190462
\(184\) 9.89182e13 1.71331e14i 0.187914 0.325477i
\(185\) 1.36733e14 + 2.36828e14i 0.250759 + 0.434327i
\(186\) 2.93200e14 + 5.07837e14i 0.519194 + 0.899270i
\(187\) −8.50890e13 + 1.47378e14i −0.145513 + 0.252037i
\(188\) 3.30554e14 0.546030
\(189\) 4.32642e14 + 1.04903e14i 0.690441 + 0.167411i
\(190\) −4.13674e13 −0.0637911
\(191\) 3.80180e14 6.58492e14i 0.566595 0.981372i −0.430304 0.902684i \(-0.641594\pi\)
0.996899 0.0786877i \(-0.0250730\pi\)
\(192\) −5.13234e13 8.88948e13i −0.0739363 0.128061i
\(193\) 3.21102e12 + 5.56164e12i 0.00447219 + 0.00774605i 0.868253 0.496122i \(-0.165243\pi\)
−0.863781 + 0.503868i \(0.831910\pi\)
\(194\) −2.49749e14 + 4.32578e14i −0.336351 + 0.582577i
\(195\) 1.18128e14 0.153861
\(196\) −1.89784e13 3.96403e14i −0.0239109 0.499428i
\(197\) 4.19711e14 0.511588 0.255794 0.966731i \(-0.417663\pi\)
0.255794 + 0.966731i \(0.417663\pi\)
\(198\) −8.73325e13 + 1.51264e14i −0.103004 + 0.178407i
\(199\) −7.53847e14 1.30570e15i −0.860475 1.49039i −0.871471 0.490447i \(-0.836834\pi\)
0.0109964 0.999940i \(-0.496500\pi\)
\(200\) −1.32985e14 2.30337e14i −0.146929 0.254489i
\(201\) 3.09517e14 5.36099e14i 0.331062 0.573417i
\(202\) −8.42631e14 −0.872677
\(203\) 7.45228e14 + 1.80696e14i 0.747421 + 0.181227i
\(204\) −2.42960e14 −0.236014
\(205\) 3.03705e14 5.26032e14i 0.285793 0.495008i
\(206\) −5.66012e14 9.80361e14i −0.516046 0.893818i
\(207\) −2.40307e14 4.16225e14i −0.212305 0.367723i
\(208\) −4.62096e13 + 8.00373e13i −0.0395658 + 0.0685300i
\(209\) −1.92943e14 −0.160132
\(210\) −2.94763e14 + 3.09212e14i −0.237163 + 0.248789i
\(211\) −9.49543e14 −0.740762 −0.370381 0.928880i \(-0.620773\pi\)
−0.370381 + 0.928880i \(0.620773\pi\)
\(212\) 4.52767e14 7.84215e14i 0.342525 0.593270i
\(213\) 4.76575e14 + 8.25452e14i 0.349674 + 0.605654i
\(214\) −4.62771e14 8.01543e14i −0.329364 0.570476i
\(215\) 5.33245e14 9.23607e14i 0.368194 0.637730i
\(216\) 3.74918e14 0.251181
\(217\) 5.38146e14 + 1.83194e15i 0.349874 + 1.19103i
\(218\) 1.01963e15 0.643392
\(219\) −4.37654e14 + 7.58038e14i −0.268067 + 0.464306i
\(220\) 1.26000e14 + 2.18238e14i 0.0749243 + 0.129773i
\(221\) 1.09376e14 + 1.89444e14i 0.0631496 + 0.109378i
\(222\) −9.10485e14 + 1.57701e15i −0.510479 + 0.884176i
\(223\) 6.07949e14 0.331044 0.165522 0.986206i \(-0.447069\pi\)
0.165522 + 0.986206i \(0.447069\pi\)
\(224\) −9.42002e13 3.20674e14i −0.0498241 0.169610i
\(225\) −6.46137e14 −0.332000
\(226\) 1.55803e14 2.69859e14i 0.0777806 0.134720i
\(227\) 1.39309e15 + 2.41290e15i 0.675788 + 1.17050i 0.976238 + 0.216702i \(0.0695299\pi\)
−0.300450 + 0.953798i \(0.597137\pi\)
\(228\) −1.37730e14 2.38556e14i −0.0649311 0.112464i
\(229\) −5.67556e14 + 9.83036e14i −0.260063 + 0.450442i −0.966258 0.257575i \(-0.917077\pi\)
0.706196 + 0.708017i \(0.250410\pi\)
\(230\) −6.93412e14 −0.308859
\(231\) −1.37481e15 + 1.44220e15i −0.595339 + 0.624524i
\(232\) 6.45799e14 0.271910
\(233\) 1.01995e15 1.76660e15i 0.417604 0.723312i −0.578094 0.815970i \(-0.696203\pi\)
0.995698 + 0.0926588i \(0.0295366\pi\)
\(234\) 1.12259e14 + 1.94439e14i 0.0447013 + 0.0774249i
\(235\) −5.79292e14 1.00336e15i −0.224366 0.388613i
\(236\) −9.41629e14 + 1.63095e15i −0.354774 + 0.614487i
\(237\) 3.67281e15 1.34628
\(238\) −7.68812e14 1.86414e14i −0.274202 0.0664857i
\(239\) −3.57648e15 −1.24128 −0.620639 0.784096i \(-0.713127\pi\)
−0.620639 + 0.784096i \(0.713127\pi\)
\(240\) −1.79888e14 + 3.11574e14i −0.0607614 + 0.105242i
\(241\) 9.08192e14 + 1.57304e15i 0.298584 + 0.517163i 0.975812 0.218610i \(-0.0701522\pi\)
−0.677228 + 0.735773i \(0.736819\pi\)
\(242\) −5.17048e14 8.95553e14i −0.165474 0.286610i
\(243\) 1.21371e15 2.10220e15i 0.378158 0.654989i
\(244\) 2.65359e14 0.0805009
\(245\) −1.16998e15 + 7.52300e14i −0.345621 + 0.222234i
\(246\) 4.04466e15 1.16360
\(247\) −1.24007e14 + 2.14786e14i −0.0347468 + 0.0601833i
\(248\) 8.04003e14 + 1.39257e15i 0.219443 + 0.380087i
\(249\) −2.48041e15 4.29619e15i −0.659519 1.14232i
\(250\) −1.02691e15 + 1.77866e15i −0.266024 + 0.460767i
\(251\) 5.30330e15 1.33865 0.669325 0.742970i \(-0.266583\pi\)
0.669325 + 0.742970i \(0.266583\pi\)
\(252\) −7.89083e14 1.91329e14i −0.194097 0.0470628i
\(253\) −3.23416e15 −0.775314
\(254\) 3.28873e13 5.69625e13i 0.00768439 0.0133098i
\(255\) 4.25784e14 + 7.37479e14i 0.0969791 + 0.167973i
\(256\) −1.40737e14 2.43764e14i −0.0312500 0.0541266i
\(257\) 1.07805e15 1.86724e15i 0.233385 0.404235i −0.725417 0.688310i \(-0.758353\pi\)
0.958802 + 0.284074i \(0.0916863\pi\)
\(258\) 7.10161e15 1.49909
\(259\) −4.09108e15 + 4.29164e15i −0.842151 + 0.883435i
\(260\) 3.23927e14 0.0650310
\(261\) 7.84437e14 1.35869e15i 0.153601 0.266045i
\(262\) −1.97562e15 3.42188e15i −0.377351 0.653591i
\(263\) −2.88067e15 4.98946e15i −0.536761 0.929697i −0.999076 0.0429812i \(-0.986314\pi\)
0.462315 0.886716i \(-0.347019\pi\)
\(264\) −8.39017e14 + 1.45322e15i −0.152526 + 0.264184i
\(265\) −3.17388e15 −0.562979
\(266\) −2.52793e14 8.60552e14i −0.0437557 0.148952i
\(267\) −4.15857e15 −0.702459
\(268\) 8.48748e14 1.47007e15i 0.139927 0.242361i
\(269\) −4.23859e15 7.34146e15i −0.682074 1.18139i −0.974347 0.225052i \(-0.927745\pi\)
0.292272 0.956335i \(-0.405589\pi\)
\(270\) −6.57040e14 1.13803e15i −0.103211 0.178767i
\(271\) 4.24299e14 7.34908e14i 0.0650687 0.112702i −0.831656 0.555292i \(-0.812607\pi\)
0.896724 + 0.442589i \(0.145940\pi\)
\(272\) −6.66236e14 −0.0997540
\(273\) 7.21871e14 + 2.45737e15i 0.105536 + 0.359264i
\(274\) 8.47055e15 1.20930
\(275\) −2.17400e15 + 3.76547e15i −0.303107 + 0.524997i
\(276\) −2.30867e15 3.99873e15i −0.314378 0.544519i
\(277\) −3.47520e15 6.01923e15i −0.462234 0.800613i 0.536838 0.843685i \(-0.319619\pi\)
−0.999072 + 0.0430726i \(0.986285\pi\)
\(278\) −5.32109e15 + 9.21640e15i −0.691368 + 1.19748i
\(279\) 3.90642e15 0.495851
\(280\) −8.08289e14 + 8.47913e14i −0.100240 + 0.105154i
\(281\) −1.13665e15 −0.137732 −0.0688661 0.997626i \(-0.521938\pi\)
−0.0688661 + 0.997626i \(0.521938\pi\)
\(282\) 3.85743e15 6.68126e15i 0.456750 0.791115i
\(283\) 5.46610e15 + 9.46756e15i 0.632508 + 1.09554i 0.987037 + 0.160491i \(0.0513077\pi\)
−0.354530 + 0.935045i \(0.615359\pi\)
\(284\) 1.30685e15 + 2.26353e15i 0.147794 + 0.255986i
\(285\) −4.82741e14 + 8.36133e14i −0.0533609 + 0.0924237i
\(286\) 1.51083e15 0.163244
\(287\) 1.27988e16 + 3.10332e15i 1.35187 + 0.327789i
\(288\) −6.83803e14 −0.0706122
\(289\) 4.16382e15 7.21194e15i 0.420393 0.728142i
\(290\) −1.13176e15 1.96026e15i −0.111729 0.193520i
\(291\) 5.82895e15 + 1.00960e16i 0.562711 + 0.974644i
\(292\) −1.20012e15 + 2.07867e15i −0.113302 + 0.196244i
\(293\) −1.63957e15 −0.151388 −0.0756940 0.997131i \(-0.524117\pi\)
−0.0756940 + 0.997131i \(0.524117\pi\)
\(294\) −8.23371e15 4.24227e15i −0.743597 0.383125i
\(295\) 6.60078e15 0.583112
\(296\) −2.49670e15 + 4.32442e15i −0.215760 + 0.373707i
\(297\) −3.06451e15 5.30789e15i −0.259086 0.448751i
\(298\) 5.46868e15 + 9.47204e15i 0.452352 + 0.783497i
\(299\) −2.07863e15 + 3.60030e15i −0.168235 + 0.291391i
\(300\) −6.20754e15 −0.491622
\(301\) 2.24721e16 + 5.44881e15i 1.74165 + 0.422298i
\(302\) −1.72551e16 −1.30880
\(303\) −9.83316e15 + 1.70315e16i −0.729988 + 1.26438i
\(304\) −3.77679e14 6.54160e14i −0.0274438 0.0475341i
\(305\) −4.65040e14 8.05472e14i −0.0330781 0.0572930i
\(306\) −8.09262e14 + 1.40168e15i −0.0563508 + 0.0976024i
\(307\) 5.69931e15 0.388528 0.194264 0.980949i \(-0.437768\pi\)
0.194264 + 0.980949i \(0.437768\pi\)
\(308\) −3.76996e15 + 3.95477e15i −0.251627 + 0.263962i
\(309\) −2.64205e16 −1.72668
\(310\) 2.81801e15 4.88094e15i 0.180340 0.312358i
\(311\) 4.65552e15 + 8.06360e15i 0.291760 + 0.505343i 0.974226 0.225574i \(-0.0724258\pi\)
−0.682466 + 0.730917i \(0.739093\pi\)
\(312\) 1.07849e15 + 1.86801e15i 0.0661931 + 0.114650i
\(313\) 2.82191e15 4.88770e15i 0.169631 0.293810i −0.768659 0.639659i \(-0.779076\pi\)
0.938290 + 0.345849i \(0.112409\pi\)
\(314\) 3.39724e15 0.200024
\(315\) 8.02099e14 + 2.73049e15i 0.0462604 + 0.157479i
\(316\) 1.00715e16 0.569019
\(317\) 6.10586e15 1.05757e16i 0.337957 0.585359i −0.646091 0.763260i \(-0.723597\pi\)
0.984048 + 0.177901i \(0.0569308\pi\)
\(318\) −1.05672e16 1.83030e16i −0.573039 0.992533i
\(319\) −5.27864e15 9.14288e15i −0.280468 0.485784i
\(320\) −4.93282e14 + 8.54389e14i −0.0256815 + 0.0444817i
\(321\) −2.16014e16 −1.10204
\(322\) −4.23738e15 1.44248e16i −0.211853 0.721185i
\(323\) −1.78789e15 −0.0876043
\(324\) 6.45454e15 1.11796e16i 0.309972 0.536887i
\(325\) 2.79451e15 + 4.84023e15i 0.131542 + 0.227837i
\(326\) 8.05906e15 + 1.39587e16i 0.371852 + 0.644066i
\(327\) 1.18987e16 2.06091e16i 0.538193 0.932178i
\(328\) 1.10911e16 0.491808
\(329\) 1.73326e16 1.81823e16i 0.753512 0.790451i
\(330\) 5.88147e15 0.250695
\(331\) −6.64365e15 + 1.15071e16i −0.277667 + 0.480934i −0.970805 0.239872i \(-0.922895\pi\)
0.693137 + 0.720806i \(0.256228\pi\)
\(332\) −6.80170e15 1.17809e16i −0.278753 0.482815i
\(333\) 6.06538e15 + 1.05055e16i 0.243764 + 0.422212i
\(334\) −1.66865e14 + 2.89018e14i −0.00657676 + 0.0113913i
\(335\) −5.94968e15 −0.229987
\(336\) −7.58084e15 1.83813e15i −0.287417 0.0696900i
\(337\) 2.83215e16 1.05323 0.526614 0.850105i \(-0.323461\pi\)
0.526614 + 0.850105i \(0.323461\pi\)
\(338\) −8.72097e15 + 1.51052e16i −0.318131 + 0.551019i
\(339\) −3.63632e15 6.29829e15i −0.130126 0.225385i
\(340\) 1.16757e15 + 2.02229e15i 0.0409893 + 0.0709956i
\(341\) 1.31436e16 2.27653e16i 0.452699 0.784098i
\(342\) −1.83504e15 −0.0620118
\(343\) −2.27995e16 1.97415e16i −0.755985 0.654588i
\(344\) 1.94738e16 0.633609
\(345\) −8.09184e15 + 1.40155e16i −0.258359 + 0.447490i
\(346\) 8.42016e15 + 1.45841e16i 0.263831 + 0.456969i
\(347\) −2.42080e16 4.19294e16i −0.744417 1.28937i −0.950467 0.310827i \(-0.899394\pi\)
0.206049 0.978542i \(-0.433939\pi\)
\(348\) 7.53621e15 1.30531e16i 0.227451 0.393957i
\(349\) −3.92608e16 −1.16304 −0.581519 0.813533i \(-0.697541\pi\)
−0.581519 + 0.813533i \(0.697541\pi\)
\(350\) −1.96429e16 4.76282e15i −0.571167 0.138491i
\(351\) −7.87840e15 −0.224875
\(352\) −2.30073e15 + 3.98497e15i −0.0644670 + 0.111660i
\(353\) 1.09539e16 + 1.89728e16i 0.301325 + 0.521909i 0.976436 0.215806i \(-0.0692379\pi\)
−0.675112 + 0.737716i \(0.735905\pi\)
\(354\) 2.19769e16 + 3.80650e16i 0.593532 + 1.02803i
\(355\) 4.58048e15 7.93362e15i 0.121458 0.210372i
\(356\) −1.14035e16 −0.296902
\(357\) −1.27396e16 + 1.33641e16i −0.325696 + 0.341662i
\(358\) 2.31725e16 0.581746
\(359\) −2.51750e16 + 4.36043e16i −0.620662 + 1.07502i 0.368701 + 0.929548i \(0.379803\pi\)
−0.989363 + 0.145470i \(0.953531\pi\)
\(360\) 1.19836e15 + 2.07562e15i 0.0290148 + 0.0502552i
\(361\) 2.00130e16 + 3.46635e16i 0.475899 + 0.824281i
\(362\) −2.16460e16 + 3.74920e16i −0.505559 + 0.875655i
\(363\) −2.41350e16 −0.553673
\(364\) 1.97949e15 + 6.73854e15i 0.0446061 + 0.151847i
\(365\) 8.41279e15 0.186224
\(366\) 3.09664e15 5.36353e15i 0.0673385 0.116634i
\(367\) 4.30705e16 + 7.46002e16i 0.920132 + 1.59372i 0.799209 + 0.601053i \(0.205252\pi\)
0.120923 + 0.992662i \(0.461415\pi\)
\(368\) −6.33076e15 1.09652e16i −0.132876 0.230147i
\(369\) 1.34722e16 2.33345e16i 0.277821 0.481201i
\(370\) 1.75018e16 0.354626
\(371\) −1.93953e16 6.60250e16i −0.386159 1.31455i
\(372\) 3.75296e16 0.734251
\(373\) −1.65426e16 + 2.86526e16i −0.318051 + 0.550880i −0.980081 0.198597i \(-0.936362\pi\)
0.662030 + 0.749477i \(0.269695\pi\)
\(374\) 5.44569e15 + 9.43222e15i 0.102893 + 0.178217i
\(375\) 2.39672e16 + 4.15124e16i 0.445055 + 0.770858i
\(376\) 1.05777e16 1.83212e16i 0.193051 0.334373i
\(377\) −1.35706e16 −0.243434
\(378\) 1.96588e16 2.06225e16i 0.346626 0.363618i
\(379\) 2.13699e16 0.370380 0.185190 0.982703i \(-0.440710\pi\)
0.185190 + 0.982703i \(0.440710\pi\)
\(380\) −1.32376e15 + 2.29282e15i −0.0225536 + 0.0390639i
\(381\) −7.67564e14 1.32946e15i −0.0128559 0.0222670i
\(382\) −2.43315e16 4.21435e16i −0.400643 0.693935i
\(383\) 1.11443e16 1.93025e16i 0.180410 0.312479i −0.761610 0.648035i \(-0.775591\pi\)
0.942020 + 0.335556i \(0.108924\pi\)
\(384\) −6.56940e15 −0.104562
\(385\) 1.86111e16 + 4.51264e15i 0.291258 + 0.0706214i
\(386\) 4.11010e14 0.00632463
\(387\) 2.36544e16 4.09706e16i 0.357924 0.619943i
\(388\) 1.59840e16 + 2.76850e16i 0.237836 + 0.411944i
\(389\) 1.09136e16 + 1.89028e16i 0.159696 + 0.276602i 0.934759 0.355282i \(-0.115615\pi\)
−0.775063 + 0.631884i \(0.782282\pi\)
\(390\) 3.78010e15 6.54732e15i 0.0543980 0.0942201i
\(391\) −2.99691e16 −0.424156
\(392\) −2.25782e16 1.16330e16i −0.314290 0.161932i
\(393\) −9.22188e16 −1.26261
\(394\) 1.34308e16 2.32628e16i 0.180874 0.313282i
\(395\) −1.76502e16 3.05710e16i −0.233812 0.404975i
\(396\) 5.58928e15 + 9.68092e15i 0.0728345 + 0.126153i
\(397\) −1.31629e16 + 2.27988e16i −0.168738 + 0.292263i −0.937977 0.346699i \(-0.887303\pi\)
0.769238 + 0.638962i \(0.220636\pi\)
\(398\) −9.64924e16 −1.21690
\(399\) −2.03438e16 4.93276e15i −0.252410 0.0612020i
\(400\) −1.70221e16 −0.207789
\(401\) 8.00434e16 1.38639e17i 0.961362 1.66513i 0.242276 0.970207i \(-0.422106\pi\)
0.719086 0.694921i \(-0.244561\pi\)
\(402\) −1.98091e16 3.43103e16i −0.234097 0.405467i
\(403\) −1.68951e16 2.92631e16i −0.196461 0.340281i
\(404\) −2.69642e16 + 4.67033e16i −0.308538 + 0.534403i
\(405\) −4.52460e16 −0.509475
\(406\) 3.38625e16 3.55225e16i 0.375232 0.393626i
\(407\) 8.16304e16 0.890202
\(408\) −7.77470e15 + 1.34662e16i −0.0834436 + 0.144528i
\(409\) −9.81791e15 1.70051e16i −0.103709 0.179630i 0.809501 0.587119i \(-0.199738\pi\)
−0.913210 + 0.407489i \(0.866404\pi\)
\(410\) −1.94371e16 3.36660e16i −0.202086 0.350023i
\(411\) 9.88478e16 1.71209e17i 1.01157 1.75209i
\(412\) −7.24495e16 −0.729799
\(413\) 4.03368e16 + 1.37314e17i 0.399969 + 1.36156i
\(414\) −3.07593e16 −0.300244
\(415\) −2.38398e16 + 4.12917e16i −0.229081 + 0.396781i
\(416\) 2.95741e15 + 5.12239e15i 0.0279773 + 0.0484580i
\(417\) 1.24190e17 + 2.15103e17i 1.15665 + 2.00338i
\(418\) −6.17417e15 + 1.06940e16i −0.0566151 + 0.0980603i
\(419\) 1.22382e17 1.10491 0.552454 0.833544i \(-0.313692\pi\)
0.552454 + 0.833544i \(0.313692\pi\)
\(420\) 7.70589e15 + 2.62322e16i 0.0685019 + 0.233192i
\(421\) −2.43087e16 −0.212778 −0.106389 0.994325i \(-0.533929\pi\)
−0.106389 + 0.994325i \(0.533929\pi\)
\(422\) −3.03854e16 + 5.26290e16i −0.261899 + 0.453622i
\(423\) −2.56971e16 4.45086e16i −0.218108 0.377774i
\(424\) −2.89771e16 5.01898e16i −0.242201 0.419505i
\(425\) −2.01452e16 + 3.48925e16i −0.165823 + 0.287213i
\(426\) 6.10016e16 0.494514
\(427\) 1.39141e16 1.45962e16i 0.111090 0.116536i
\(428\) −5.92347e16 −0.465791
\(429\) 1.76308e16 3.05375e16i 0.136553 0.236516i
\(430\) −3.41277e16 5.91108e16i −0.260352 0.450943i
\(431\) −6.14438e16 1.06424e17i −0.461717 0.799717i 0.537330 0.843372i \(-0.319433\pi\)
−0.999047 + 0.0436554i \(0.986100\pi\)
\(432\) 1.19974e16 2.07801e16i 0.0888059 0.153816i
\(433\) −1.41055e17 −1.02853 −0.514267 0.857630i \(-0.671936\pi\)
−0.514267 + 0.857630i \(0.671936\pi\)
\(434\) 1.18757e17 + 2.87951e16i 0.853054 + 0.206840i
\(435\) −5.28285e16 −0.373842
\(436\) 3.26282e16 5.65136e16i 0.227473 0.393995i
\(437\) −1.69891e16 2.94259e16i −0.116692 0.202116i
\(438\) 2.80098e16 + 4.85145e16i 0.189552 + 0.328314i
\(439\) −7.34941e16 + 1.27296e17i −0.490042 + 0.848777i −0.999934 0.0114609i \(-0.996352\pi\)
0.509893 + 0.860238i \(0.329685\pi\)
\(440\) 1.61280e16 0.105959
\(441\) −5.18998e16 + 3.33716e16i −0.335981 + 0.216036i
\(442\) 1.40001e16 0.0893070
\(443\) −9.34433e16 + 1.61849e17i −0.587386 + 1.01738i 0.407187 + 0.913345i \(0.366510\pi\)
−0.994573 + 0.104038i \(0.966824\pi\)
\(444\) 5.82710e16 + 1.00928e17i 0.360964 + 0.625207i
\(445\) 1.99845e16 + 3.46142e16i 0.121998 + 0.211307i
\(446\) 1.94544e16 3.36959e16i 0.117042 0.202722i
\(447\) 2.55269e17 1.51356
\(448\) −2.07880e16 5.04046e15i −0.121480 0.0294553i
\(449\) 2.15477e17 1.24108 0.620540 0.784175i \(-0.286913\pi\)
0.620540 + 0.784175i \(0.286913\pi\)
\(450\) −2.06764e16 + 3.58125e16i −0.117380 + 0.203308i
\(451\) −9.06570e16 1.57022e17i −0.507287 0.878647i
\(452\) −9.97141e15 1.72710e16i −0.0549992 0.0952614i
\(453\) −2.01360e17 + 3.48765e17i −1.09480 + 1.89625i
\(454\) 1.78315e17 0.955709
\(455\) 1.69851e16 1.78178e16i 0.0897418 0.0941411i
\(456\) −1.76295e16 −0.0918264
\(457\) 1.91954e16 3.32474e16i 0.0985694 0.170727i −0.812523 0.582929i \(-0.801907\pi\)
0.911093 + 0.412201i \(0.135240\pi\)
\(458\) 3.63236e16 + 6.29143e16i 0.183892 + 0.318510i
\(459\) −2.83971e16 4.91853e16i −0.141740 0.245501i
\(460\) −2.21892e16 + 3.84328e16i −0.109198 + 0.189137i
\(461\) 3.15284e17 1.52984 0.764921 0.644124i \(-0.222778\pi\)
0.764921 + 0.644124i \(0.222778\pi\)
\(462\) 3.59412e16 + 1.22350e17i 0.171957 + 0.585372i
\(463\) −2.28642e17 −1.07865 −0.539323 0.842099i \(-0.681320\pi\)
−0.539323 + 0.842099i \(0.681320\pi\)
\(464\) 2.06656e16 3.57938e16i 0.0961347 0.166510i
\(465\) −6.57702e16 1.13917e17i −0.301707 0.522571i
\(466\) −6.52767e16 1.13063e17i −0.295291 0.511458i
\(467\) −1.06511e17 + 1.84482e17i −0.475153 + 0.822989i −0.999595 0.0284570i \(-0.990941\pi\)
0.524442 + 0.851446i \(0.324274\pi\)
\(468\) 1.43692e16 0.0632171
\(469\) −3.63580e16 1.23769e17i −0.157753 0.537018i
\(470\) −7.41494e16 −0.317301
\(471\) 3.96444e16 6.86661e16i 0.167319 0.289805i
\(472\) 6.02643e16 + 1.04381e17i 0.250863 + 0.434508i
\(473\) −1.59175e17 2.75700e17i −0.653550 1.13198i
\(474\) 1.17530e17 2.03568e17i 0.475981 0.824424i
\(475\) −4.56801e16 −0.182481
\(476\) −3.49341e16 + 3.66466e16i −0.137659 + 0.144407i
\(477\) −1.40791e17 −0.547276
\(478\) −1.14447e17 + 1.98228e17i −0.438858 + 0.760124i
\(479\) −1.57833e16 2.73374e16i −0.0597058 0.103413i 0.834628 0.550815i \(-0.185683\pi\)
−0.894333 + 0.447401i \(0.852350\pi\)
\(480\) 1.15128e16 + 1.99408e16i 0.0429648 + 0.0744172i
\(481\) 5.24649e16 9.08719e16i 0.193164 0.334570i
\(482\) 1.16249e17 0.422262
\(483\) −3.41007e17 8.26841e16i −1.22210 0.296323i
\(484\) −6.61821e16 −0.234016
\(485\) 5.60234e16 9.70354e16i 0.195456 0.338539i
\(486\) −7.76773e16 1.34541e17i −0.267398 0.463147i
\(487\) −2.71494e17 4.70241e17i −0.922193 1.59729i −0.796014 0.605278i \(-0.793062\pi\)
−0.126179 0.992008i \(-0.540271\pi\)
\(488\) 8.49150e15 1.47077e16i 0.0284614 0.0492965i
\(489\) 3.76184e17 1.24421
\(490\) 4.25721e15 + 8.89207e16i 0.0138948 + 0.290221i
\(491\) 2.87085e17 0.924658 0.462329 0.886708i \(-0.347014\pi\)
0.462329 + 0.886708i \(0.347014\pi\)
\(492\) 1.29429e17 2.24178e17i 0.411395 0.712556i
\(493\) −4.89143e16 8.47220e16i −0.153437 0.265761i
\(494\) 7.93643e15 + 1.37463e16i 0.0245697 + 0.0425560i
\(495\) 1.95903e16 3.39314e16i 0.0598560 0.103674i
\(496\) 1.02912e17 0.310339
\(497\) 1.93031e17 + 4.68043e16i 0.574528 + 0.139306i
\(498\) −3.17492e17 −0.932701
\(499\) −2.64712e15 + 4.58495e15i −0.00767575 + 0.0132948i −0.869838 0.493338i \(-0.835777\pi\)
0.862162 + 0.506633i \(0.169110\pi\)
\(500\) 6.57221e16 + 1.13834e17i 0.188108 + 0.325812i
\(501\) 3.89449e15 + 6.74545e15i 0.0110028 + 0.0190575i
\(502\) 1.69706e17 2.93939e17i 0.473284 0.819753i
\(503\) 9.65557e16 0.265819 0.132909 0.991128i \(-0.457568\pi\)
0.132909 + 0.991128i \(0.457568\pi\)
\(504\) −3.58552e16 + 3.76129e16i −0.0974437 + 0.102221i
\(505\) 1.89018e17 0.507118
\(506\) −1.03493e17 + 1.79255e17i −0.274115 + 0.474781i
\(507\) 2.03540e17 + 3.52542e17i 0.532229 + 0.921848i
\(508\) −2.10479e15 3.64560e15i −0.00543369 0.00941142i
\(509\) −2.70435e17 + 4.68407e17i −0.689283 + 1.19387i 0.282787 + 0.959183i \(0.408741\pi\)
−0.972070 + 0.234691i \(0.924592\pi\)
\(510\) 5.45003e16 0.137149
\(511\) 5.14099e16 + 1.75008e17i 0.127735 + 0.434833i
\(512\) −1.80144e16 −0.0441942
\(513\) 3.21958e16 5.57648e16i 0.0779896 0.135082i
\(514\) −6.89952e16 1.19503e17i −0.165028 0.285838i
\(515\) 1.26967e17 + 2.19913e17i 0.299877 + 0.519403i
\(516\) 2.27252e17 3.93611e17i 0.530010 0.918004i
\(517\) −3.45842e17 −0.796506
\(518\) 1.06952e17 + 3.64083e17i 0.243246 + 0.828051i
\(519\) 3.93040e17 0.882772
\(520\) 1.03657e16 1.79539e16i 0.0229919 0.0398232i
\(521\) −6.51595e16 1.12860e17i −0.142736 0.247225i 0.785790 0.618493i \(-0.212257\pi\)
−0.928526 + 0.371268i \(0.878923\pi\)
\(522\) −5.02040e16 8.69559e16i −0.108613 0.188122i
\(523\) −4.34304e17 + 7.52237e17i −0.927969 + 1.60729i −0.141253 + 0.989974i \(0.545113\pi\)
−0.786716 + 0.617315i \(0.788220\pi\)
\(524\) −2.52879e17 −0.533654
\(525\) −3.25492e17 + 3.41449e17i −0.678430 + 0.711688i
\(526\) −3.68725e17 −0.759094
\(527\) 1.21794e17 2.10954e17i 0.247661 0.428961i
\(528\) 5.36971e16 + 9.30061e16i 0.107853 + 0.186806i
\(529\) −3.27570e16 5.67368e16i −0.0649894 0.112565i
\(530\) −1.01564e17 + 1.75914e17i −0.199043 + 0.344753i
\(531\) 2.92807e17 0.566848
\(532\) −5.57860e16 1.35264e16i −0.106684 0.0258677i
\(533\) −2.33065e17 −0.440302
\(534\) −1.33074e17 + 2.30491e17i −0.248357 + 0.430166i
\(535\) 1.03808e17 + 1.79801e17i 0.191396 + 0.331507i
\(536\) −5.43198e16 9.40847e16i −0.0989435 0.171375i
\(537\) 2.70414e17 4.68370e17i 0.486627 0.842862i
\(538\) −5.42540e17 −0.964599
\(539\) 1.98562e16 + 4.14737e17i 0.0348793 + 0.728527i
\(540\) −8.41011e16 −0.145963
\(541\) 2.99150e17 5.18143e17i 0.512988 0.888520i −0.486899 0.873458i \(-0.661872\pi\)
0.999887 0.0150622i \(-0.00479462\pi\)
\(542\) −2.71552e16 4.70341e16i −0.0460105 0.0796925i
\(543\) 5.05200e17 + 8.75033e17i 0.845794 + 1.46496i
\(544\) −2.13196e16 + 3.69265e16i −0.0352684 + 0.0610866i
\(545\) −2.28722e17 −0.373879
\(546\) 1.59301e17 + 3.86258e16i 0.257316 + 0.0623916i
\(547\) 6.94479e17 1.10851 0.554257 0.832345i \(-0.313002\pi\)
0.554257 + 0.832345i \(0.313002\pi\)
\(548\) 2.71057e17 4.69485e17i 0.427551 0.740540i
\(549\) −2.06289e16 3.57303e16i −0.0321555 0.0556950i
\(550\) 1.39136e17 + 2.40990e17i 0.214329 + 0.371229i
\(551\) 5.54576e16 9.60553e16i 0.0844258 0.146230i
\(552\) −2.95510e17 −0.444598
\(553\) 5.28098e17 5.53987e17i 0.785238 0.823732i
\(554\) −4.44826e17 −0.653698
\(555\) 2.04239e17 3.53752e17i 0.296643 0.513800i
\(556\) 3.40550e17 + 5.89849e17i 0.488871 + 0.846750i
\(557\) −4.32451e17 7.49027e17i −0.613590 1.06277i −0.990630 0.136572i \(-0.956391\pi\)
0.377040 0.926197i \(-0.376942\pi\)
\(558\) 1.25005e17 2.16516e17i 0.175310 0.303646i
\(559\) −4.09216e17 −0.567252
\(560\) 2.11309e16 + 7.19331e16i 0.0289531 + 0.0985614i
\(561\) 2.54196e17 0.344279
\(562\) −3.63728e16 + 6.29995e16i −0.0486957 + 0.0843434i
\(563\) −6.04730e16 1.04742e17i −0.0800307 0.138617i 0.823232 0.567705i \(-0.192169\pi\)
−0.903263 + 0.429088i \(0.858835\pi\)
\(564\) −2.46875e17 4.27601e17i −0.322971 0.559403i
\(565\) −3.49496e16 + 6.05344e16i −0.0451988 + 0.0782866i
\(566\) 6.99661e17 0.894501
\(567\) −2.76495e17 9.41237e17i −0.349460 1.18962i
\(568\) 1.67277e17 0.209012
\(569\) 3.13843e17 5.43592e17i 0.387688 0.671496i −0.604450 0.796643i \(-0.706607\pi\)
0.992138 + 0.125147i \(0.0399404\pi\)
\(570\) 3.08954e16 + 5.35125e16i 0.0377318 + 0.0653535i
\(571\) 6.18567e17 + 1.07139e18i 0.746882 + 1.29364i 0.949310 + 0.314340i \(0.101783\pi\)
−0.202428 + 0.979297i \(0.564883\pi\)
\(572\) 4.83467e16 8.37390e16i 0.0577155 0.0999662i
\(573\) −1.13576e18 −1.34054
\(574\) 5.81564e17 6.10073e17i 0.678688 0.711959i
\(575\) −7.65702e17 −0.883525
\(576\) −2.18817e16 + 3.79002e16i −0.0249652 + 0.0432410i
\(577\) −4.22370e17 7.31566e17i −0.476486 0.825298i 0.523151 0.852240i \(-0.324756\pi\)
−0.999637 + 0.0269418i \(0.991423\pi\)
\(578\) −2.66484e17 4.61564e17i −0.297263 0.514874i
\(579\) 4.79632e15 8.30747e15i 0.00529051 0.00916343i
\(580\) −1.44865e17 −0.158009
\(581\) −1.00466e18 2.43600e17i −1.08361 0.262744i
\(582\) 7.46105e17 0.795794
\(583\) −4.73707e17 + 8.20485e17i −0.499648 + 0.865416i
\(584\) 7.68077e16 + 1.33035e17i 0.0801164 + 0.138766i
\(585\) −2.51819e16 4.36163e16i −0.0259762 0.0449920i
\(586\) −5.24663e16 + 9.08744e16i −0.0535237 + 0.0927058i
\(587\) −9.19950e17 −0.928146 −0.464073 0.885797i \(-0.653613\pi\)
−0.464073 + 0.885797i \(0.653613\pi\)
\(588\) −4.98609e17 + 3.20606e17i −0.497516 + 0.319903i
\(589\) 2.76173e17 0.272541
\(590\) 2.11225e17 3.65852e17i 0.206161 0.357082i
\(591\) −3.13463e17 5.42934e17i −0.302599 0.524117i
\(592\) 1.59789e17 + 2.76763e17i 0.152565 + 0.264251i
\(593\) 3.65725e16 6.33454e16i 0.0345381 0.0598218i −0.848240 0.529613i \(-0.822337\pi\)
0.882778 + 0.469791i \(0.155671\pi\)
\(594\) −3.92258e17 −0.366403
\(595\) 1.72459e17 + 4.18161e16i 0.159340 + 0.0386352i
\(596\) 6.99991e17 0.639723
\(597\) −1.12603e18 + 1.95034e18i −1.01792 + 1.76310i
\(598\) 1.33033e17 + 2.30419e17i 0.118960 + 0.206044i
\(599\) 1.99308e17 + 3.45212e17i 0.176299 + 0.305360i 0.940610 0.339489i \(-0.110254\pi\)
−0.764311 + 0.644848i \(0.776921\pi\)
\(600\) −1.98641e17 + 3.44057e17i −0.173815 + 0.301056i
\(601\) 2.02331e18 1.75137 0.875686 0.482882i \(-0.160410\pi\)
0.875686 + 0.482882i \(0.160410\pi\)
\(602\) 1.02111e18 1.07117e18i 0.874370 0.917233i
\(603\) −2.63924e17 −0.223572
\(604\) −5.52162e17 + 9.56373e17i −0.462729 + 0.801470i
\(605\) 1.15983e17 + 2.00889e17i 0.0961582 + 0.166551i
\(606\) 6.29322e17 + 1.09002e18i 0.516180 + 0.894049i
\(607\) 9.11136e17 1.57813e18i 0.739361 1.28061i −0.213422 0.976960i \(-0.568461\pi\)
0.952783 0.303651i \(-0.0982057\pi\)
\(608\) −4.83430e16 −0.0388115
\(609\) −3.22831e17 1.09897e18i −0.256426 0.872920i
\(610\) −5.95251e16 −0.0467795
\(611\) −2.22277e17 + 3.84995e17i −0.172833 + 0.299355i
\(612\) 5.17928e16 + 8.97077e16i 0.0398460 + 0.0690153i
\(613\) 8.93380e17 + 1.54738e18i 0.680054 + 1.17789i 0.974964 + 0.222363i \(0.0713769\pi\)
−0.294910 + 0.955525i \(0.595290\pi\)
\(614\) 1.82378e17 3.15888e17i 0.137366 0.237924i
\(615\) −9.07292e17 −0.676175
\(616\) 9.85569e16 + 3.35505e17i 0.0726795 + 0.247414i
\(617\) 8.80000e17 0.642139 0.321070 0.947056i \(-0.395958\pi\)
0.321070 + 0.947056i \(0.395958\pi\)
\(618\) −8.45456e17 + 1.46437e18i −0.610472 + 1.05737i
\(619\) 4.84990e16 + 8.40027e16i 0.0346532 + 0.0600211i 0.882832 0.469689i \(-0.155634\pi\)
−0.848179 + 0.529710i \(0.822301\pi\)
\(620\) −1.80353e17 3.12380e17i −0.127520 0.220871i
\(621\) 5.39675e17 9.34745e17i 0.377604 0.654030i
\(622\) 5.95906e17 0.412611
\(623\) −5.97943e17 + 6.27255e17i −0.409720 + 0.429805i
\(624\) 1.38047e17 0.0936112
\(625\) −3.88906e17 + 6.73606e17i −0.260991 + 0.452049i
\(626\) −1.80602e17 3.12813e17i −0.119947 0.207755i
\(627\) 1.44100e17 + 2.49589e17i 0.0947164 + 0.164054i
\(628\) 1.08712e17 1.88294e17i 0.0707193 0.122489i
\(629\) 7.56424e17 0.487008
\(630\) 1.77006e17 + 4.29187e16i 0.112791 + 0.0273485i
\(631\) −8.85605e15 −0.00558533 −0.00279267 0.999996i \(-0.500889\pi\)
−0.00279267 + 0.999996i \(0.500889\pi\)
\(632\) 3.22287e17 5.58218e17i 0.201179 0.348452i
\(633\) 7.09170e17 + 1.22832e18i 0.438153 + 0.758904i
\(634\) −3.90775e17 6.76842e17i −0.238972 0.413911i
\(635\) −7.37724e15 + 1.27778e16i −0.00446545 + 0.00773438i
\(636\) −1.35260e18 −0.810400
\(637\) 4.74451e17 + 2.44452e17i 0.281375 + 0.144973i
\(638\) −6.75666e17 −0.396641
\(639\) 2.03187e17 3.51931e17i 0.118070 0.204504i
\(640\) 3.15700e16 + 5.46809e16i 0.0181596 + 0.0314533i
\(641\) −3.07694e17 5.32941e17i −0.175203 0.303460i 0.765029 0.643996i \(-0.222725\pi\)
−0.940232 + 0.340536i \(0.889392\pi\)
\(642\) −6.91244e17 + 1.19727e18i −0.389631 + 0.674861i
\(643\) −9.48803e17 −0.529425 −0.264713 0.964327i \(-0.585277\pi\)
−0.264713 + 0.964327i \(0.585277\pi\)
\(644\) −9.35100e17 2.26734e17i −0.516535 0.125244i
\(645\) −1.59302e18 −0.871132
\(646\) −5.72126e16 + 9.90951e16i −0.0309728 + 0.0536464i
\(647\) −9.09981e16 1.57613e17i −0.0487702 0.0844725i 0.840610 0.541641i \(-0.182197\pi\)
−0.889380 + 0.457169i \(0.848864\pi\)
\(648\) −4.13090e17 7.15494e17i −0.219183 0.379637i
\(649\) 9.85178e17 1.70638e18i 0.517517 0.896365i
\(650\) 3.57697e17 0.186028
\(651\) 1.96786e18 2.06433e18i 1.01325 1.06293i
\(652\) 1.03156e18 0.525878
\(653\) −1.38478e18 + 2.39851e18i −0.698947 + 1.21061i 0.269884 + 0.962893i \(0.413015\pi\)
−0.968832 + 0.247720i \(0.920319\pi\)
\(654\) −7.61515e17 1.31898e18i −0.380560 0.659149i
\(655\) 4.43169e17 + 7.67590e17i 0.219281 + 0.379805i
\(656\) 3.54916e17 6.14733e17i 0.173881 0.301170i
\(657\) 3.73186e17 0.181030
\(658\) −4.53121e17 1.54250e18i −0.217644 0.740897i
\(659\) −1.98995e18 −0.946427 −0.473213 0.880948i \(-0.656906\pi\)
−0.473213 + 0.880948i \(0.656906\pi\)
\(660\) 1.88207e17 3.25984e17i 0.0886340 0.153519i
\(661\) 5.81844e17 + 1.00778e18i 0.271330 + 0.469957i 0.969203 0.246265i \(-0.0792033\pi\)
−0.697873 + 0.716222i \(0.745870\pi\)
\(662\) 4.25194e17 + 7.36457e17i 0.196340 + 0.340072i
\(663\) 1.63375e17 2.82974e17i 0.0747047 0.129392i
\(664\) −8.70617e17 −0.394216
\(665\) 5.67062e16 + 1.93038e17i 0.0254267 + 0.0865569i
\(666\) 7.76368e17 0.344735
\(667\) 9.29594e17 1.61010e18i 0.408767 0.708005i
\(668\) 1.06793e16 + 1.84972e16i 0.00465047 + 0.00805486i
\(669\) −4.54049e17 7.86436e17i −0.195809 0.339151i
\(670\) −1.90390e17 + 3.29765e17i −0.0813126 + 0.140837i
\(671\) −2.77632e17 −0.117428
\(672\) −3.44467e17 + 3.61353e17i −0.144293 + 0.151367i
\(673\) 1.44542e18 0.599650 0.299825 0.953994i \(-0.403072\pi\)
0.299825 + 0.953994i \(0.403072\pi\)
\(674\) 9.06289e17 1.56974e18i 0.372372 0.644967i
\(675\) −7.25538e17 1.25667e18i −0.295247 0.511383i
\(676\) 5.58142e17 + 9.66731e17i 0.224953 + 0.389630i
\(677\) −1.90818e18 + 3.30507e18i −0.761716 + 1.31933i 0.180249 + 0.983621i \(0.442310\pi\)
−0.941965 + 0.335710i \(0.891024\pi\)
\(678\) −4.65449e17 −0.184026
\(679\) 2.36095e18 + 5.72459e17i 0.924555 + 0.224177i
\(680\) 1.49449e17 0.0579676
\(681\) 2.08087e18 3.60417e18i 0.799444 1.38468i
\(682\) −8.41188e17 1.45698e18i −0.320107 0.554441i
\(683\) −1.14349e17 1.98058e17i −0.0431019 0.0746547i 0.843670 0.536863i \(-0.180391\pi\)
−0.886772 + 0.462208i \(0.847057\pi\)
\(684\) −5.87211e16 + 1.01708e17i −0.0219245 + 0.0379743i
\(685\) −1.90010e18 −0.702729
\(686\) −1.82377e18 + 6.31948e17i −0.668133 + 0.231513i
\(687\) 1.69553e18 0.615298
\(688\) 6.23162e17 1.07935e18i 0.224015 0.388005i
\(689\) 6.08915e17 + 1.05467e18i 0.216836 + 0.375571i
\(690\) 5.17878e17 + 8.96990e17i 0.182687 + 0.316423i
\(691\) 1.65297e18 2.86303e18i 0.577642 1.00051i −0.418107 0.908398i \(-0.637306\pi\)
0.995749 0.0921074i \(-0.0293603\pi\)
\(692\) 1.07778e18 0.373113
\(693\) 8.25578e17 + 2.00178e17i 0.283134 + 0.0686516i
\(694\) −3.09862e18 −1.05276
\(695\) 1.19362e18 2.06741e18i 0.401758 0.695866i
\(696\) −4.82317e17 8.35398e17i −0.160832 0.278569i
\(697\) −8.40068e17 1.45504e18i −0.277524 0.480686i
\(698\) −1.25634e18 + 2.17605e18i −0.411196 + 0.712212i
\(699\) −3.04701e18 −0.988035
\(700\) −8.92555e17 + 9.36310e17i −0.286746 + 0.300803i
\(701\) −1.97078e18 −0.627293 −0.313647 0.949540i \(-0.601551\pi\)
−0.313647 + 0.949540i \(0.601551\pi\)
\(702\) −2.52109e17 + 4.36666e17i −0.0795055 + 0.137708i
\(703\) 4.28805e17 + 7.42713e17i 0.133983 + 0.232066i
\(704\) 1.47246e17 + 2.55038e17i 0.0455851 + 0.0789557i
\(705\) −8.65293e17 + 1.49873e18i −0.265420 + 0.459721i
\(706\) 1.40210e18 0.426137
\(707\) 1.15507e18 + 3.93207e18i 0.347843 + 1.18412i
\(708\) 2.81304e18 0.839381
\(709\) −1.90872e18 + 3.30601e18i −0.564342 + 0.977470i 0.432768 + 0.901505i \(0.357537\pi\)
−0.997111 + 0.0759644i \(0.975796\pi\)
\(710\) −2.93151e17 5.07752e17i −0.0858839 0.148755i
\(711\) −7.82950e17 1.35611e18i −0.227291 0.393679i
\(712\) −3.64912e17 + 6.32046e17i −0.104971 + 0.181815i
\(713\) 4.62929e18 1.31957
\(714\) 3.33047e17 + 1.13375e18i 0.0940735 + 0.320243i
\(715\) −3.38908e17 −0.0948622
\(716\) 7.41520e17 1.28435e18i 0.205678 0.356245i
\(717\) 2.67111e18 + 4.62649e18i 0.734204 + 1.27168i
\(718\) 1.61120e18 + 2.79068e18i 0.438874 + 0.760152i
\(719\) −1.80548e18 + 3.12718e18i −0.487365 + 0.844141i −0.999894 0.0145287i \(-0.995375\pi\)
0.512529 + 0.858670i \(0.328709\pi\)
\(720\) 1.53390e17 0.0410332
\(721\) −3.79889e18 + 3.98512e18i −1.00711 + 1.05648i
\(722\) 2.56166e18 0.673022
\(723\) 1.35657e18 2.34966e18i 0.353219 0.611794i
\(724\) 1.38534e18 + 2.39949e18i 0.357484 + 0.619181i
\(725\) −1.24974e18 2.16462e18i −0.319613 0.553585i
\(726\) −7.72319e17 + 1.33769e18i −0.195753 + 0.339054i
\(727\) −3.60755e18 −0.906230 −0.453115 0.891452i \(-0.649687\pi\)
−0.453115 + 0.891452i \(0.649687\pi\)
\(728\) 4.36831e17 + 1.05919e17i 0.108758 + 0.0263705i
\(729\) 1.39886e18 0.345181
\(730\) 2.69209e17 4.66284e17i 0.0658403 0.114039i
\(731\) −1.47499e18 2.55476e18i −0.357541 0.619280i
\(732\) −1.98185e17 3.43266e17i −0.0476155 0.0824724i
\(733\) 5.46187e17 9.46024e17i 0.130067 0.225282i −0.793635 0.608394i \(-0.791814\pi\)
0.923702 + 0.383112i \(0.125148\pi\)
\(734\) 5.51302e18 1.30126
\(735\) 1.84697e18 + 9.51620e17i 0.432109 + 0.222636i
\(736\) −8.10337e17 −0.187914
\(737\) −8.88001e17 + 1.53806e18i −0.204115 + 0.353538i
\(738\) −8.62218e17 1.49341e18i −0.196449 0.340260i
\(739\) −2.64348e18 4.57864e18i −0.597018 1.03407i −0.993259 0.115919i \(-0.963019\pi\)
0.396241 0.918147i \(-0.370315\pi\)
\(740\) 5.60057e17 9.70047e17i 0.125379 0.217163i
\(741\) 3.70460e17 0.0822096
\(742\) −4.28013e18 1.03780e18i −0.941524 0.228292i
\(743\) −1.06272e18 −0.231736 −0.115868 0.993265i \(-0.536965\pi\)
−0.115868 + 0.993265i \(0.536965\pi\)
\(744\) 1.20095e18 2.08010e18i 0.259597 0.449635i
\(745\) −1.22673e18 2.12475e18i −0.262865 0.455295i
\(746\) 1.05873e18 + 1.83377e18i 0.224896 + 0.389531i
\(747\) −1.05752e18 + 1.83168e18i −0.222692 + 0.385714i
\(748\) 6.97049e17 0.145513
\(749\) −3.10597e18 + 3.25823e18i −0.642785 + 0.674295i
\(750\) 3.06780e18 0.629403
\(751\) −4.48188e17 + 7.76285e17i −0.0911593 + 0.157892i −0.907999 0.418972i \(-0.862391\pi\)
0.816840 + 0.576864i \(0.195724\pi\)
\(752\) −6.76974e17 1.17255e18i −0.136507 0.236438i
\(753\) −3.96079e18 6.86029e18i −0.791799 1.37144i
\(754\) −4.34259e17 + 7.52159e17i −0.0860668 + 0.149072i
\(755\) 3.87063e18 0.760549
\(756\) −5.13935e17 1.74952e18i −0.100119 0.340823i
\(757\) −6.71607e18 −1.29716 −0.648578 0.761148i \(-0.724636\pi\)