Properties

Label 18.7.d.a.5.3
Level $18$
Weight $7$
Character 18.5
Analytic conductor $4.141$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.14097350516\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Defining polynomial: \( x^{12} + 370x^{10} + 51793x^{8} + 3491832x^{6} + 117603792x^{4} + 1832032512x^{2} + 10453017600 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{10}\cdot 3^{10} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.3
Root \(-11.8022i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.7.d.a.11.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.89898 + 2.82843i) q^{2} +(25.6924 + 8.30052i) q^{3} +(16.0000 - 27.7128i) q^{4} +(-9.39126 - 5.42205i) q^{5} +(-149.344 + 32.0051i) q^{6} +(322.041 + 557.792i) q^{7} +181.019i q^{8} +(591.203 + 426.521i) q^{9} +O(q^{10})\) \(q+(-4.89898 + 2.82843i) q^{2} +(25.6924 + 8.30052i) q^{3} +(16.0000 - 27.7128i) q^{4} +(-9.39126 - 5.42205i) q^{5} +(-149.344 + 32.0051i) q^{6} +(322.041 + 557.792i) q^{7} +181.019i q^{8} +(591.203 + 426.521i) q^{9} +61.3435 q^{10} +(-1058.59 + 611.175i) q^{11} +(641.110 - 579.201i) q^{12} +(1163.39 - 2015.05i) q^{13} +(-3155.35 - 1821.74i) q^{14} +(-196.279 - 217.258i) q^{15} +(-512.000 - 886.810i) q^{16} -3382.18i q^{17} +(-4102.67 - 417.346i) q^{18} +6234.31 q^{19} +(-300.520 + 173.506i) q^{20} +(3644.06 + 17004.1i) q^{21} +(3457.33 - 5988.27i) q^{22} +(-12444.3 - 7184.71i) q^{23} +(-1502.56 + 4650.83i) q^{24} +(-7753.70 - 13429.8i) q^{25} +13162.2i q^{26} +(11649.1 + 15865.7i) q^{27} +20610.6 q^{28} +(11757.8 - 6788.37i) q^{29} +(1576.06 + 509.183i) q^{30} +(-4393.16 + 7609.18i) q^{31} +(5016.55 + 2896.31i) q^{32} +(-32270.7 + 6915.75i) q^{33} +(9566.26 + 16569.2i) q^{34} -6984.49i q^{35} +(21279.3 - 9559.54i) q^{36} -27898.6 q^{37} +(-30541.8 + 17633.3i) q^{38} +(46616.2 - 42114.7i) q^{39} +(981.495 - 1700.00i) q^{40} +(-47968.4 - 27694.6i) q^{41} +(-65947.1 - 72996.0i) q^{42} +(-26959.0 - 46694.4i) q^{43} +39115.2i q^{44} +(-3239.52 - 7211.10i) q^{45} +81285.7 q^{46} +(152425. - 88002.4i) q^{47} +(-5793.54 - 27034.2i) q^{48} +(-148597. + 257377. i) q^{49} +(75970.5 + 43861.6i) q^{50} +(28073.9 - 86896.5i) q^{51} +(-37228.4 - 64481.5i) q^{52} +83918.6i q^{53} +(-101943. - 44777.0i) q^{54} +13255.3 q^{55} +(-100971. + 58295.7i) q^{56} +(160175. + 51748.1i) q^{57} +(-38400.8 + 66512.2i) q^{58} +(305843. + 176579. i) q^{59} +(-9161.29 + 1963.30i) q^{60} +(-83314.3 - 144305. i) q^{61} -49702.9i q^{62} +(-47518.5 + 467125. i) q^{63} -32768.0 q^{64} +(-21851.4 + 12615.9i) q^{65} +(138533. - 125156. i) q^{66} +(45249.4 - 78374.3i) q^{67} +(-93729.8 - 54114.9i) q^{68} +(-260087. - 287887. i) q^{69} +(19755.1 + 34216.9i) q^{70} -429740. i q^{71} +(-77208.6 + 107019. i) q^{72} +274010. q^{73} +(136675. - 78909.1i) q^{74} +(-87737.1 - 409404. i) q^{75} +(99749.0 - 172770. i) q^{76} +(-681817. - 393647. i) q^{77} +(-109253. + 338170. i) q^{78} +(-163147. - 282579. i) q^{79} +11104.4i q^{80} +(167600. + 504321. i) q^{81} +313328. q^{82} +(-858836. + 495849. i) q^{83} +(529538. + 171079. i) q^{84} +(-18338.4 + 31763.0i) q^{85} +(264143. + 152503. i) q^{86} +(358434. - 76813.9i) q^{87} +(-110635. - 191625. i) q^{88} +538101. i q^{89} +(36266.4 + 26164.3i) q^{90} +1.49863e6 q^{91} +(-398217. + 229911. i) q^{92} +(-176031. + 159033. i) q^{93} +(-497817. + 862244. i) q^{94} +(-58548.1 - 33802.7i) q^{95} +(104847. + 116053. i) q^{96} +(42974.7 + 74434.4i) q^{97} -1.68118e6i q^{98} +(-886518. - 90181.4i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9} + 378 q^{11} + 384 q^{12} + 1680 q^{13} - 4752 q^{14} - 10872 q^{15} - 6144 q^{16} - 2976 q^{18} - 2820 q^{19} + 13824 q^{20} + 24876 q^{21} - 3600 q^{22} - 76248 q^{23} - 6144 q^{24} + 8094 q^{25} + 127008 q^{27} + 15360 q^{28} + 97092 q^{29} + 34272 q^{30} + 21480 q^{31} - 246258 q^{33} - 27360 q^{34} + 38208 q^{36} - 25536 q^{37} + 97632 q^{38} + 42204 q^{39} - 410562 q^{41} - 222144 q^{42} + 71430 q^{43} + 13716 q^{45} - 135072 q^{46} + 347652 q^{47} + 55296 q^{48} - 135954 q^{49} + 311040 q^{50} + 336402 q^{51} - 53760 q^{52} - 173520 q^{54} + 580392 q^{55} - 152064 q^{56} - 522282 q^{57} + 159264 q^{58} + 369738 q^{59} - 170496 q^{60} + 135744 q^{61} - 103800 q^{63} - 393216 q^{64} - 753840 q^{65} + 909216 q^{66} - 289938 q^{67} + 744768 q^{68} + 2059272 q^{69} + 155952 q^{70} - 374784 q^{72} - 977700 q^{73} - 2197152 q^{74} - 2115342 q^{75} - 45120 q^{76} - 159192 q^{77} - 631488 q^{78} - 764796 q^{79} - 1428282 q^{81} + 1073088 q^{82} + 396900 q^{83} + 1441536 q^{84} + 1619568 q^{85} + 3264624 q^{86} + 3072636 q^{87} + 115200 q^{88} - 1987200 q^{90} + 355584 q^{91} - 2439936 q^{92} - 2526576 q^{93} - 736848 q^{94} - 2089260 q^{95} - 49152 q^{96} - 38874 q^{97} + 4398804 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.89898 + 2.82843i −0.612372 + 0.353553i
\(3\) 25.6924 + 8.30052i 0.951572 + 0.307427i
\(4\) 16.0000 27.7128i 0.250000 0.433013i
\(5\) −9.39126 5.42205i −0.0751301 0.0433764i 0.461964 0.886898i \(-0.347145\pi\)
−0.537094 + 0.843522i \(0.680478\pi\)
\(6\) −149.344 + 32.0051i −0.691408 + 0.148172i
\(7\) 322.041 + 557.792i 0.938896 + 1.62622i 0.767535 + 0.641007i \(0.221483\pi\)
0.171360 + 0.985208i \(0.445184\pi\)
\(8\) 181.019i 0.353553i
\(9\) 591.203 + 426.521i 0.810977 + 0.585077i
\(10\) 61.3435 0.0613435
\(11\) −1058.59 + 611.175i −0.795332 + 0.459185i −0.841836 0.539733i \(-0.818525\pi\)
0.0465046 + 0.998918i \(0.485192\pi\)
\(12\) 641.110 579.201i 0.371013 0.335186i
\(13\) 1163.39 2015.05i 0.529535 0.917181i −0.469872 0.882735i \(-0.655700\pi\)
0.999407 0.0344462i \(-0.0109667\pi\)
\(14\) −3155.35 1821.74i −1.14991 0.663900i
\(15\) −196.279 217.258i −0.0581566 0.0643727i
\(16\) −512.000 886.810i −0.125000 0.216506i
\(17\) 3382.18i 0.688415i −0.938894 0.344207i \(-0.888148\pi\)
0.938894 0.344207i \(-0.111852\pi\)
\(18\) −4102.67 417.346i −0.703476 0.0715614i
\(19\) 6234.31 0.908924 0.454462 0.890766i \(-0.349831\pi\)
0.454462 + 0.890766i \(0.349831\pi\)
\(20\) −300.520 + 173.506i −0.0375650 + 0.0216882i
\(21\) 3644.06 + 17004.1i 0.393484 + 1.83610i
\(22\) 3457.33 5988.27i 0.324693 0.562384i
\(23\) −12444.3 7184.71i −1.02279 0.590508i −0.107879 0.994164i \(-0.534406\pi\)
−0.914911 + 0.403656i \(0.867739\pi\)
\(24\) −1502.56 + 4650.83i −0.108692 + 0.336431i
\(25\) −7753.70 13429.8i −0.496237 0.859508i
\(26\) 13162.2i 0.748875i
\(27\) 11649.1 + 15865.7i 0.591835 + 0.806059i
\(28\) 20610.6 0.938896
\(29\) 11757.8 6788.37i 0.482095 0.278338i −0.239194 0.970972i \(-0.576883\pi\)
0.721289 + 0.692634i \(0.243550\pi\)
\(30\) 1576.06 + 509.183i 0.0583727 + 0.0188586i
\(31\) −4393.16 + 7609.18i −0.147466 + 0.255419i −0.930290 0.366824i \(-0.880445\pi\)
0.782824 + 0.622243i \(0.213778\pi\)
\(32\) 5016.55 + 2896.31i 0.153093 + 0.0883883i
\(33\) −32270.7 + 6915.75i −0.897981 + 0.192441i
\(34\) 9566.26 + 16569.2i 0.243391 + 0.421566i
\(35\) 6984.49i 0.162904i
\(36\) 21279.3 9559.54i 0.456090 0.204894i
\(37\) −27898.6 −0.550779 −0.275389 0.961333i \(-0.588807\pi\)
−0.275389 + 0.961333i \(0.588807\pi\)
\(38\) −30541.8 + 17633.3i −0.556600 + 0.321353i
\(39\) 46616.2 42114.7i 0.785856 0.709970i
\(40\) 981.495 1700.00i 0.0153359 0.0265625i
\(41\) −47968.4 27694.6i −0.695991 0.401831i 0.109862 0.993947i \(-0.464959\pi\)
−0.805852 + 0.592116i \(0.798293\pi\)
\(42\) −65947.1 72996.0i −0.890119 0.985261i
\(43\) −26959.0 46694.4i −0.339077 0.587299i 0.645182 0.764029i \(-0.276781\pi\)
−0.984259 + 0.176730i \(0.943448\pi\)
\(44\) 39115.2i 0.459185i
\(45\) −3239.52 7211.10i −0.0355503 0.0791342i
\(46\) 81285.7 0.835104
\(47\) 152425. 88002.4i 1.46812 0.847620i 0.468758 0.883326i \(-0.344701\pi\)
0.999362 + 0.0357064i \(0.0113681\pi\)
\(48\) −5793.54 27034.2i −0.0523866 0.244450i
\(49\) −148597. + 257377.i −1.26305 + 2.18767i
\(50\) 75970.5 + 43861.6i 0.607764 + 0.350893i
\(51\) 28073.9 86896.5i 0.211637 0.655076i
\(52\) −37228.4 64481.5i −0.264767 0.458590i
\(53\) 83918.6i 0.563678i 0.959462 + 0.281839i \(0.0909443\pi\)
−0.959462 + 0.281839i \(0.909056\pi\)
\(54\) −101943. 44777.0i −0.647408 0.284363i
\(55\) 13255.3 0.0796711
\(56\) −100971. + 58295.7i −0.574954 + 0.331950i
\(57\) 160175. + 51748.1i 0.864907 + 0.279428i
\(58\) −38400.8 + 66512.2i −0.196814 + 0.340892i
\(59\) 305843. + 176579.i 1.48917 + 0.859770i 0.999923 0.0123773i \(-0.00393991\pi\)
0.489243 + 0.872148i \(0.337273\pi\)
\(60\) −9161.29 + 1963.30i −0.0424134 + 0.00908936i
\(61\) −83314.3 144305.i −0.367054 0.635756i 0.622050 0.782978i \(-0.286300\pi\)
−0.989104 + 0.147222i \(0.952967\pi\)
\(62\) 49702.9i 0.208548i
\(63\) −47518.5 + 467125.i −0.190038 + 1.86815i
\(64\) −32768.0 −0.125000
\(65\) −21851.4 + 12615.9i −0.0795680 + 0.0459386i
\(66\) 138533. 125156.i 0.481860 0.435330i
\(67\) 45249.4 78374.3i 0.150449 0.260585i −0.780944 0.624601i \(-0.785261\pi\)
0.931393 + 0.364016i \(0.118595\pi\)
\(68\) −93729.8 54114.9i −0.298092 0.172104i
\(69\) −260087. 287887.i −0.791719 0.876343i
\(70\) 19755.1 + 34216.9i 0.0575951 + 0.0997577i
\(71\) 429740.i 1.20069i −0.799741 0.600345i \(-0.795030\pi\)
0.799741 0.600345i \(-0.204970\pi\)
\(72\) −77208.6 + 107019.i −0.206856 + 0.286724i
\(73\) 274010. 0.704366 0.352183 0.935931i \(-0.385440\pi\)
0.352183 + 0.935931i \(0.385440\pi\)
\(74\) 136675. 78909.1i 0.337282 0.194730i
\(75\) −87737.1 409404.i −0.207969 0.970440i
\(76\) 99749.0 172770.i 0.227231 0.393576i
\(77\) −681817. 393647.i −1.49347 0.862253i
\(78\) −109253. + 338170.i −0.230224 + 0.712608i
\(79\) −163147. 282579.i −0.330901 0.573137i 0.651788 0.758401i \(-0.274019\pi\)
−0.982689 + 0.185264i \(0.940686\pi\)
\(80\) 11104.4i 0.0216882i
\(81\) 167600. + 504321.i 0.315369 + 0.948969i
\(82\) 313328. 0.568274
\(83\) −858836. + 495849.i −1.50202 + 0.867192i −0.502024 + 0.864854i \(0.667411\pi\)
−0.999997 + 0.00233889i \(0.999256\pi\)
\(84\) 529538. + 171079.i 0.893427 + 0.288642i
\(85\) −18338.4 + 31763.0i −0.0298609 + 0.0517207i
\(86\) 264143. + 152503.i 0.415283 + 0.239764i
\(87\) 358434. 76813.9i 0.544316 0.116649i
\(88\) −110635. 191625.i −0.162346 0.281192i
\(89\) 538101.i 0.763298i 0.924307 + 0.381649i \(0.124644\pi\)
−0.924307 + 0.381649i \(0.875356\pi\)
\(90\) 36266.4 + 26164.3i 0.0497482 + 0.0358907i
\(91\) 1.49863e6 1.98871
\(92\) −398217. + 229911.i −0.511395 + 0.295254i
\(93\) −176031. + 159033.i −0.218847 + 0.197714i
\(94\) −497817. + 862244.i −0.599358 + 1.03812i
\(95\) −58548.1 33802.7i −0.0682876 0.0394259i
\(96\) 104847. + 116053.i 0.118506 + 0.131173i
\(97\) 42974.7 + 74434.4i 0.0470867 + 0.0815565i 0.888608 0.458667i \(-0.151673\pi\)
−0.841521 + 0.540224i \(0.818340\pi\)
\(98\) 1.68118e6i 1.78622i
\(99\) −886518. 90181.4i −0.913655 0.0929419i
\(100\) −496237. −0.496237
\(101\) 1.04085e6 600935.i 1.01024 0.583262i 0.0989776 0.995090i \(-0.468443\pi\)
0.911262 + 0.411828i \(0.135109\pi\)
\(102\) 108247. + 505109.i 0.102004 + 0.475976i
\(103\) 166737. 288797.i 0.152588 0.264290i −0.779590 0.626290i \(-0.784573\pi\)
0.932178 + 0.362000i \(0.117906\pi\)
\(104\) 364762. + 210596.i 0.324272 + 0.187219i
\(105\) 57974.9 179449.i 0.0500809 0.155014i
\(106\) −237358. 411116.i −0.199290 0.345181i
\(107\) 2.15926e6i 1.76260i 0.472558 + 0.881299i \(0.343331\pi\)
−0.472558 + 0.881299i \(0.656669\pi\)
\(108\) 626068. 68978.2i 0.496993 0.0547571i
\(109\) −651642. −0.503187 −0.251594 0.967833i \(-0.580955\pi\)
−0.251594 + 0.967833i \(0.580955\pi\)
\(110\) −64937.4 + 37491.6i −0.0487884 + 0.0281680i
\(111\) −716783. 231573.i −0.524105 0.169324i
\(112\) 329770. 571179.i 0.234724 0.406554i
\(113\) −385869. 222782.i −0.267427 0.154399i 0.360291 0.932840i \(-0.382677\pi\)
−0.627718 + 0.778441i \(0.716011\pi\)
\(114\) −931058. + 199530.i −0.628438 + 0.134677i
\(115\) 77911.6 + 134947.i 0.0512282 + 0.0887298i
\(116\) 434456.i 0.278338i
\(117\) 1.54726e6 695091.i 0.966062 0.433994i
\(118\) −1.99776e6 −1.21590
\(119\) 1.88655e6 1.08920e6i 1.11951 0.646350i
\(120\) 39327.9 35530.2i 0.0227592 0.0205615i
\(121\) −138711. + 240254.i −0.0782985 + 0.135617i
\(122\) 816310. + 471297.i 0.449547 + 0.259546i
\(123\) −1.00255e6 1.10970e6i −0.538752 0.596337i
\(124\) 140581. + 243494.i 0.0737330 + 0.127709i
\(125\) 337603.i 0.172853i
\(126\) −1.08844e6 2.42284e6i −0.544117 1.21119i
\(127\) −3.14533e6 −1.53552 −0.767760 0.640737i \(-0.778629\pi\)
−0.767760 + 0.640737i \(0.778629\pi\)
\(128\) 160530. 92681.9i 0.0765466 0.0441942i
\(129\) −305055. 1.42347e6i −0.142105 0.663098i
\(130\) 71366.2 123610.i 0.0324835 0.0562631i
\(131\) 906108. + 523142.i 0.403057 + 0.232705i 0.687802 0.725898i \(-0.258576\pi\)
−0.284745 + 0.958603i \(0.591909\pi\)
\(132\) −324677. + 1.00496e6i −0.141166 + 0.436947i
\(133\) 2.00771e6 + 3.47745e6i 0.853385 + 1.47811i
\(134\) 511939.i 0.212767i
\(135\) −23375.2 212161.i −0.00950066 0.0862310i
\(136\) 612240. 0.243391
\(137\) −40404.2 + 23327.4i −0.0157132 + 0.00907203i −0.507836 0.861454i \(-0.669554\pi\)
0.492123 + 0.870526i \(0.336221\pi\)
\(138\) 2.08843e6 + 674714.i 0.794661 + 0.256733i
\(139\) 694301. 1.20257e6i 0.258526 0.447780i −0.707322 0.706892i \(-0.750097\pi\)
0.965847 + 0.259112i \(0.0834300\pi\)
\(140\) −193560. 111752.i −0.0705393 0.0407259i
\(141\) 4.64663e6 995792.i 1.65760 0.355231i
\(142\) 1.21549e6 + 2.10529e6i 0.424508 + 0.735270i
\(143\) 2.84413e6i 0.972617i
\(144\) 75547.7 742663.i 0.0253008 0.248716i
\(145\) −147228. −0.0482931
\(146\) −1.34237e6 + 775018.i −0.431334 + 0.249031i
\(147\) −5.95417e6 + 5.37921e6i −1.87443 + 1.69343i
\(148\) −446377. + 773148.i −0.137695 + 0.238494i
\(149\) −3.27251e6 1.88939e6i −0.989287 0.571165i −0.0842261 0.996447i \(-0.526842\pi\)
−0.905061 + 0.425281i \(0.860175\pi\)
\(150\) 1.58779e6 + 1.75751e6i 0.470457 + 0.520742i
\(151\) −1.27032e6 2.20027e6i −0.368964 0.639064i 0.620440 0.784254i \(-0.286954\pi\)
−0.989404 + 0.145190i \(0.953621\pi\)
\(152\) 1.12853e6i 0.321353i
\(153\) 1.44257e6 1.99955e6i 0.402776 0.558289i
\(154\) 4.45361e6 1.21941
\(155\) 82514.6 47639.9i 0.0221583 0.0127931i
\(156\) −421258. 1.96570e6i −0.110962 0.517778i
\(157\) −312032. + 540456.i −0.0806307 + 0.139656i −0.903521 0.428544i \(-0.859027\pi\)
0.822890 + 0.568200i \(0.192360\pi\)
\(158\) 1.59851e6 + 922899.i 0.405269 + 0.233982i
\(159\) −696569. + 2.15607e6i −0.173290 + 0.536380i
\(160\) −31407.9 54400.0i −0.00766793 0.0132812i
\(161\) 9.25509e6i 2.21770i
\(162\) −2.24750e6 1.99661e6i −0.528634 0.469623i
\(163\) −2.16727e6 −0.500438 −0.250219 0.968189i \(-0.580503\pi\)
−0.250219 + 0.968189i \(0.580503\pi\)
\(164\) −1.53499e6 + 886226.i −0.347995 + 0.200915i
\(165\) 340560. + 110026.i 0.0758128 + 0.0244930i
\(166\) 2.80495e6 4.85831e6i 0.613198 1.06209i
\(167\) −2.87525e6 1.66003e6i −0.617343 0.356423i 0.158491 0.987360i \(-0.449337\pi\)
−0.775834 + 0.630937i \(0.782671\pi\)
\(168\) −3.07808e6 + 659645.i −0.649160 + 0.139118i
\(169\) −293536. 508420.i −0.0608138 0.105333i
\(170\) 207475.i 0.0422298i
\(171\) 3.68574e6 + 2.65907e6i 0.737117 + 0.531791i
\(172\) −1.72538e6 −0.339077
\(173\) 791912. 457211.i 0.152946 0.0883035i −0.421574 0.906794i \(-0.638522\pi\)
0.574520 + 0.818491i \(0.305189\pi\)
\(174\) −1.53870e6 + 1.39011e6i −0.292082 + 0.263878i
\(175\) 4.99402e6 8.64990e6i 0.931830 1.61398i
\(176\) 1.08399e6 + 625843.i 0.198833 + 0.114796i
\(177\) 6.39217e6 + 7.07540e6i 1.15273 + 1.27594i
\(178\) −1.52198e6 2.63615e6i −0.269867 0.467423i
\(179\) 3.42647e6i 0.597431i 0.954342 + 0.298716i \(0.0965582\pi\)
−0.954342 + 0.298716i \(0.903442\pi\)
\(180\) −251672. 25601.5i −0.0431537 0.00438983i
\(181\) −5.16532e6 −0.871087 −0.435543 0.900168i \(-0.643444\pi\)
−0.435543 + 0.900168i \(0.643444\pi\)
\(182\) −7.34178e6 + 4.23878e6i −1.21783 + 0.703116i
\(183\) −942743. 4.39909e6i −0.153830 0.717810i
\(184\) 1.30057e6 2.25265e6i 0.208776 0.361611i
\(185\) 262003. + 151267.i 0.0413801 + 0.0238908i
\(186\) 412560. 1.27699e6i 0.0641134 0.198449i
\(187\) 2.06711e6 + 3.58033e6i 0.316110 + 0.547518i
\(188\) 5.63216e6i 0.847620i
\(189\) −5.09825e6 + 1.16072e7i −0.755155 + 1.71926i
\(190\) 382434. 0.0557566
\(191\) 4.66116e6 2.69112e6i 0.668950 0.386218i −0.126729 0.991937i \(-0.540448\pi\)
0.795679 + 0.605719i \(0.207114\pi\)
\(192\) −841890. 271992.i −0.118946 0.0384284i
\(193\) −3.73195e6 + 6.46392e6i −0.519115 + 0.899133i 0.480638 + 0.876919i \(0.340405\pi\)
−0.999753 + 0.0222145i \(0.992928\pi\)
\(194\) −421065. 243102.i −0.0576691 0.0332953i
\(195\) −666133. + 142755.i −0.0898374 + 0.0192525i
\(196\) 4.75509e6 + 8.23606e6i 0.631525 + 1.09383i
\(197\) 2.66109e6i 0.348066i 0.984740 + 0.174033i \(0.0556799\pi\)
−0.984740 + 0.174033i \(0.944320\pi\)
\(198\) 4.59811e6 2.06566e6i 0.592357 0.266111i
\(199\) 1.13134e7 1.43560 0.717801 0.696248i \(-0.245149\pi\)
0.717801 + 0.696248i \(0.245149\pi\)
\(200\) 2.43105e6 1.40357e6i 0.303882 0.175446i
\(201\) 1.81312e6 1.63803e6i 0.223274 0.201713i
\(202\) −3.39940e6 + 5.88794e6i −0.412429 + 0.714347i
\(203\) 7.57300e6 + 4.37227e6i 0.905273 + 0.522660i
\(204\) −1.95896e6 2.16835e6i −0.230747 0.255411i
\(205\) 300322. + 520174.i 0.0348599 + 0.0603791i
\(206\) 1.88641e6i 0.215792i
\(207\) −4.29266e6 9.55537e6i −0.483966 1.07730i
\(208\) −2.38262e6 −0.264767
\(209\) −6.59956e6 + 3.81026e6i −0.722896 + 0.417364i
\(210\) 223539. + 1.04309e6i 0.0241377 + 0.112633i
\(211\) −2.61834e6 + 4.53511e6i −0.278727 + 0.482770i −0.971069 0.238800i \(-0.923246\pi\)
0.692341 + 0.721570i \(0.256579\pi\)
\(212\) 2.32562e6 + 1.34270e6i 0.244080 + 0.140919i
\(213\) 3.56707e6 1.10411e7i 0.369125 1.14254i
\(214\) −6.10731e6 1.05782e7i −0.623173 1.07937i
\(215\) 584692.i 0.0588318i
\(216\) −2.87199e6 + 2.10871e6i −0.284985 + 0.209245i
\(217\) −5.65912e6 −0.553821
\(218\) 3.19238e6 1.84312e6i 0.308138 0.177904i
\(219\) 7.03999e6 + 2.27443e6i 0.670254 + 0.216541i
\(220\) 212085. 367341.i 0.0199178 0.0344986i
\(221\) −6.81525e6 3.93479e6i −0.631401 0.364539i
\(222\) 4.16649e6 892897.i 0.380813 0.0816098i
\(223\) −4.46185e6 7.72815e6i −0.402347 0.696885i 0.591662 0.806186i \(-0.298472\pi\)
−0.994009 + 0.109301i \(0.965139\pi\)
\(224\) 3.73092e6i 0.331950i
\(225\) 1.14409e6 1.12469e7i 0.100441 0.987378i
\(226\) 2.52049e6 0.218353
\(227\) 1.09112e6 629961.i 0.0932817 0.0538562i −0.452633 0.891697i \(-0.649515\pi\)
0.545915 + 0.837840i \(0.316182\pi\)
\(228\) 3.99688e6 3.61092e6i 0.337222 0.304659i
\(229\) −7.62554e6 + 1.32078e7i −0.634986 + 1.09983i 0.351532 + 0.936176i \(0.385661\pi\)
−0.986518 + 0.163652i \(0.947672\pi\)
\(230\) −763375. 440735.i −0.0627414 0.0362238i
\(231\) −1.42501e7 1.57732e7i −1.15606 1.27963i
\(232\) 1.22883e6 + 2.12839e6i 0.0984072 + 0.170446i
\(233\) 988329.i 0.0781329i 0.999237 + 0.0390664i \(0.0124384\pi\)
−0.999237 + 0.0390664i \(0.987562\pi\)
\(234\) −5.61397e6 + 7.78154e6i −0.438150 + 0.607321i
\(235\) −1.90861e6 −0.147067
\(236\) 9.78699e6 5.65052e6i 0.744583 0.429885i
\(237\) −1.84609e6 8.61435e6i −0.138678 0.647109i
\(238\) −6.16146e6 + 1.06720e7i −0.457038 + 0.791614i
\(239\) 1.58228e7 + 9.13533e6i 1.15902 + 0.669161i 0.951069 0.308979i \(-0.0999871\pi\)
0.207951 + 0.978139i \(0.433320\pi\)
\(240\) −92172.0 + 285298.i −0.00666753 + 0.0206379i
\(241\) 323303. + 559977.i 0.0230972 + 0.0400055i 0.877343 0.479864i \(-0.159314\pi\)
−0.854246 + 0.519869i \(0.825981\pi\)
\(242\) 1.56933e6i 0.110731i
\(243\) 119921. + 1.43484e7i 0.00835753 + 0.999965i
\(244\) −5.33211e6 −0.367054
\(245\) 2.79102e6 1.61140e6i 0.189786 0.109573i
\(246\) 8.05016e6 + 2.60079e6i 0.540754 + 0.174703i
\(247\) 7.25292e6 1.25624e7i 0.481307 0.833648i
\(248\) −1.37741e6 795247.i −0.0903041 0.0521371i
\(249\) −2.61814e7 + 5.61079e6i −1.69588 + 0.363434i
\(250\) −954885. 1.65391e6i −0.0611126 0.105850i
\(251\) 1.02408e6i 0.0647606i 0.999476 + 0.0323803i \(0.0103088\pi\)
−0.999476 + 0.0323803i \(0.989691\pi\)
\(252\) 1.21851e7 + 8.79088e6i 0.761423 + 0.549327i
\(253\) 1.75645e7 1.08461
\(254\) 1.54089e7 8.89635e6i 0.940310 0.542888i
\(255\) −734806. + 663850.i −0.0443152 + 0.0400359i
\(256\) −524288. + 908093.i −0.0312500 + 0.0541266i
\(257\) −8.77587e6 5.06675e6i −0.517000 0.298490i 0.218706 0.975791i \(-0.429816\pi\)
−0.735707 + 0.677300i \(0.763150\pi\)
\(258\) 5.52063e6 + 6.11071e6i 0.321462 + 0.355822i
\(259\) −8.98450e6 1.55616e7i −0.517124 0.895685i
\(260\) 807417.i 0.0459386i
\(261\) 9.84663e6 + 1.00165e6i 0.553817 + 0.0563373i
\(262\) −5.91868e6 −0.329095
\(263\) −1.91632e7 + 1.10639e7i −1.05342 + 0.608192i −0.923605 0.383347i \(-0.874771\pi\)
−0.129814 + 0.991538i \(0.541438\pi\)
\(264\) −1.25189e6 5.84163e6i −0.0680382 0.317484i
\(265\) 455011. 788102.i 0.0244503 0.0423492i
\(266\) −1.96714e7 1.13573e7i −1.04518 0.603435i
\(267\) −4.46652e6 + 1.38251e7i −0.234658 + 0.726333i
\(268\) −1.44798e6 2.50798e6i −0.0752244 0.130292i
\(269\) 1.79826e7i 0.923840i 0.886922 + 0.461920i \(0.152839\pi\)
−0.886922 + 0.461920i \(0.847161\pi\)
\(270\) 714595. + 973255.i 0.0363052 + 0.0494465i
\(271\) 3.08379e7 1.54945 0.774724 0.632299i \(-0.217889\pi\)
0.774724 + 0.632299i \(0.217889\pi\)
\(272\) −2.99935e6 + 1.73168e6i −0.149046 + 0.0860519i
\(273\) 3.85036e7 + 1.24395e7i 1.89240 + 0.611383i
\(274\) 131960. 228561.i 0.00641489 0.0111109i
\(275\) 1.64159e7 + 9.47774e6i 0.789346 + 0.455729i
\(276\) −1.21395e7 + 2.60155e6i −0.577398 + 0.123739i
\(277\) 5.92606e6 + 1.02642e7i 0.278822 + 0.482934i 0.971092 0.238705i \(-0.0767227\pi\)
−0.692270 + 0.721638i \(0.743389\pi\)
\(278\) 7.85512e6i 0.365610i
\(279\) −5.84273e6 + 2.62479e6i −0.269031 + 0.120860i
\(280\) 1.26433e6 0.0575951
\(281\) 4.89692e6 2.82724e6i 0.220701 0.127422i −0.385574 0.922677i \(-0.625996\pi\)
0.606275 + 0.795255i \(0.292663\pi\)
\(282\) −1.99472e7 + 1.80210e7i −0.889477 + 0.803585i
\(283\) −1.10442e7 + 1.91291e7i −0.487277 + 0.843988i −0.999893 0.0146299i \(-0.995343\pi\)
0.512616 + 0.858618i \(0.328676\pi\)
\(284\) −1.19093e7 6.87585e6i −0.519914 0.300173i
\(285\) −1.22366e6 1.35445e6i −0.0528600 0.0585100i
\(286\) −8.04443e6 1.39334e7i −0.343872 0.595604i
\(287\) 3.56752e7i 1.50911i
\(288\) 1.73046e6 + 3.85197e6i 0.0724410 + 0.161252i
\(289\) 1.26984e7 0.526085
\(290\) 721265. 416422.i 0.0295734 0.0170742i
\(291\) 486281. + 2.26911e6i 0.0197337 + 0.0920826i
\(292\) 4.38416e6 7.59359e6i 0.176091 0.304999i
\(293\) −3.73151e7 2.15439e7i −1.48348 0.856488i −0.483657 0.875258i \(-0.660692\pi\)
−0.999824 + 0.0187695i \(0.994025\pi\)
\(294\) 1.39547e7 4.31936e7i 0.549133 1.69972i
\(295\) −1.91484e6 3.31660e6i −0.0745875 0.129189i
\(296\) 5.05018e6i 0.194730i
\(297\) −2.20283e7 9.67555e6i −0.840835 0.369323i
\(298\) 2.13760e7 0.807750
\(299\) −2.89550e7 + 1.67172e7i −1.08320 + 0.625388i
\(300\) −1.27495e7 4.11903e6i −0.472205 0.152557i
\(301\) 1.73638e7 3.00750e7i 0.636716 1.10282i
\(302\) 1.24466e7 + 7.18604e6i 0.451886 + 0.260897i
\(303\) 3.17301e7 6.79989e6i 1.14063 0.244441i
\(304\) −3.19197e6 5.52865e6i −0.113616 0.196788i
\(305\) 1.80694e6i 0.0636859i
\(306\) −1.41154e6 + 1.38760e7i −0.0492640 + 0.484284i
\(307\) −7.12229e6 −0.246153 −0.123076 0.992397i \(-0.539276\pi\)
−0.123076 + 0.992397i \(0.539276\pi\)
\(308\) −2.18181e7 + 1.25967e7i −0.746733 + 0.431127i
\(309\) 6.68104e6 6.03589e6i 0.226448 0.204581i
\(310\) −269492. + 466773.i −0.00904608 + 0.0156683i
\(311\) −1.93371e7 1.11643e7i −0.642850 0.371150i 0.142861 0.989743i \(-0.454370\pi\)
−0.785712 + 0.618593i \(0.787703\pi\)
\(312\) 7.62358e6 + 8.43843e6i 0.251012 + 0.277842i
\(313\) −1.34033e7 2.32152e7i −0.437097 0.757075i 0.560367 0.828245i \(-0.310660\pi\)
−0.997464 + 0.0711697i \(0.977327\pi\)
\(314\) 3.53024e6i 0.114029i
\(315\) 2.97904e6 4.12925e6i 0.0953112 0.132111i
\(316\) −1.04414e7 −0.330901
\(317\) 2.46337e7 1.42223e7i 0.773307 0.446469i −0.0607461 0.998153i \(-0.519348\pi\)
0.834053 + 0.551684i \(0.186015\pi\)
\(318\) −2.68582e6 1.25328e7i −0.0835211 0.389731i
\(319\) −8.29777e6 + 1.43722e7i −0.255617 + 0.442741i
\(320\) 307733. + 177670.i 0.00939126 + 0.00542205i
\(321\) −1.79230e7 + 5.54766e7i −0.541870 + 1.67724i
\(322\) 2.61773e7 + 4.53405e7i 0.784075 + 1.35806i
\(323\) 2.10856e7i 0.625717i
\(324\) 1.66578e7 + 3.42447e6i 0.489758 + 0.100684i
\(325\) −3.60822e7 −1.05110
\(326\) 1.06174e7 6.12997e6i 0.306454 0.176932i
\(327\) −1.67423e7 5.40897e6i −0.478819 0.154693i
\(328\) 5.01325e6 8.68321e6i 0.142069 0.246070i
\(329\) 9.81741e7 + 5.66808e7i 2.75682 + 1.59165i
\(330\) −1.97960e6 + 424236.i −0.0550853 + 0.0118050i
\(331\) 3.27727e7 + 5.67639e7i 0.903707 + 1.56527i 0.822643 + 0.568558i \(0.192499\pi\)
0.0810645 + 0.996709i \(0.474168\pi\)
\(332\) 3.17344e7i 0.867192i
\(333\) −1.64937e7 1.18993e7i −0.446669 0.322248i
\(334\) 1.87811e7 0.504059
\(335\) −849898. + 490689.i −0.0226065 + 0.0130518i
\(336\) 1.32137e7 1.19377e7i 0.348342 0.314705i
\(337\) 1.54983e6 2.68438e6i 0.0404943 0.0701381i −0.845068 0.534659i \(-0.820440\pi\)
0.885562 + 0.464521i \(0.153773\pi\)
\(338\) 2.87606e6 + 1.66049e6i 0.0744814 + 0.0430018i
\(339\) −8.06472e6 8.92672e6i −0.207009 0.229136i
\(340\) 586827. + 1.01641e6i 0.0149305 + 0.0258603i
\(341\) 1.07400e7i 0.270857i
\(342\) −2.55774e7 2.60187e6i −0.639407 0.0650439i
\(343\) −1.15641e8 −2.86570
\(344\) 8.45258e6 4.88010e6i 0.207641 0.119882i
\(345\) 881610. + 4.11382e6i 0.0214694 + 0.100182i
\(346\) −2.58637e6 + 4.47973e6i −0.0624400 + 0.108149i
\(347\) 4.25859e6 + 2.45870e6i 0.101924 + 0.0588459i 0.550096 0.835102i \(-0.314591\pi\)
−0.448171 + 0.893948i \(0.647925\pi\)
\(348\) 3.60621e6 1.11622e7i 0.0855684 0.264858i
\(349\) −8.99392e6 1.55779e7i −0.211579 0.366466i 0.740630 0.671913i \(-0.234527\pi\)
−0.952209 + 0.305448i \(0.901194\pi\)
\(350\) 5.65009e7i 1.31781i
\(351\) 4.55224e7 5.01552e6i 1.05270 0.115983i
\(352\) −7.08061e6 −0.162346
\(353\) 1.98330e7 1.14506e7i 0.450884 0.260318i −0.257320 0.966326i \(-0.582839\pi\)
0.708203 + 0.706008i \(0.249506\pi\)
\(354\) −5.13273e7 1.65825e7i −1.15702 0.373800i
\(355\) −2.33007e6 + 4.03581e6i −0.0520816 + 0.0902080i
\(356\) 1.49123e7 + 8.60962e6i 0.330518 + 0.190825i
\(357\) 5.75111e7 1.23249e7i 1.26400 0.270881i
\(358\) −9.69153e6 1.67862e7i −0.211224 0.365851i
\(359\) 4.37616e7i 0.945823i −0.881110 0.472911i \(-0.843203\pi\)
0.881110 0.472911i \(-0.156797\pi\)
\(360\) 1.30535e6 586416.i 0.0279782 0.0125689i
\(361\) −8.17922e6 −0.173856
\(362\) 2.53048e7 1.46097e7i 0.533430 0.307976i
\(363\) −5.55804e6 + 5.02133e6i −0.116199 + 0.104978i
\(364\) 2.39782e7 4.15314e7i 0.497178 0.861137i
\(365\) −2.57330e6 1.48570e6i −0.0529191 0.0305528i
\(366\) 1.70610e7 + 1.88846e7i 0.347985 + 0.385180i
\(367\) −769845. 1.33341e6i −0.0155742 0.0269753i 0.858133 0.513427i \(-0.171624\pi\)
−0.873707 + 0.486452i \(0.838291\pi\)
\(368\) 1.47143e7i 0.295254i
\(369\) −1.65467e7 3.68326e7i −0.329331 0.733084i
\(370\) −1.71140e6 −0.0337867
\(371\) −4.68091e7 + 2.70253e7i −0.916661 + 0.529235i
\(372\) 1.59075e6 + 7.42284e6i 0.0309010 + 0.144192i
\(373\) −3.28366e6 + 5.68746e6i −0.0632749 + 0.109595i −0.895927 0.444200i \(-0.853488\pi\)
0.832653 + 0.553796i \(0.186821\pi\)
\(374\) −2.02534e7 1.16933e7i −0.387154 0.223523i
\(375\) −2.80228e6 + 8.67384e6i −0.0531395 + 0.164482i
\(376\) 1.59301e7 + 2.75918e7i 0.299679 + 0.519059i
\(377\) 3.15900e7i 0.589557i
\(378\) −7.85377e6 7.12833e7i −0.145413 1.31981i
\(379\) 1.40337e7 0.257783 0.128892 0.991659i \(-0.458858\pi\)
0.128892 + 0.991659i \(0.458858\pi\)
\(380\) −1.87354e6 + 1.08169e6i −0.0341438 + 0.0197129i
\(381\) −8.08113e7 2.61079e7i −1.46116 0.472060i
\(382\) −1.52233e7 + 2.63675e7i −0.273098 + 0.473019i
\(383\) 3.36645e7 + 1.94362e7i 0.599205 + 0.345951i 0.768729 0.639575i \(-0.220890\pi\)
−0.169524 + 0.985526i \(0.554223\pi\)
\(384\) 4.89371e6 1.04874e6i 0.0864260 0.0185215i
\(385\) 4.26875e6 + 7.39369e6i 0.0748029 + 0.129562i
\(386\) 4.22222e7i 0.734139i
\(387\) 3.97791e6 3.91044e7i 0.0686313 0.674672i
\(388\) 2.75038e6 0.0470867
\(389\) 1.35216e7 7.80670e6i 0.229710 0.132623i −0.380728 0.924687i \(-0.624327\pi\)
0.610438 + 0.792064i \(0.290993\pi\)
\(390\) 2.85960e6 2.58346e6i 0.0482071 0.0435520i
\(391\) −2.43000e7 + 4.20888e7i −0.406514 + 0.704103i
\(392\) −4.65902e7 2.68989e7i −0.773457 0.446556i
\(393\) 1.89378e7 + 2.09620e7i 0.311998 + 0.345346i
\(394\) −7.52671e6 1.30366e7i −0.123060 0.213146i
\(395\) 3.53836e6i 0.0574131i
\(396\) −1.66835e7 + 2.31250e7i −0.268659 + 0.372389i
\(397\) 1.02776e8 1.64255 0.821277 0.570530i \(-0.193262\pi\)
0.821277 + 0.570530i \(0.193262\pi\)
\(398\) −5.54241e7 + 3.19991e7i −0.879123 + 0.507562i
\(399\) 2.27182e7 + 1.06009e8i 0.357648 + 1.66888i
\(400\) −7.93979e6 + 1.37521e7i −0.124059 + 0.214877i
\(401\) −4.28395e7 2.47334e7i −0.664373 0.383576i 0.129568 0.991570i \(-0.458641\pi\)
−0.793941 + 0.607995i \(0.791974\pi\)
\(402\) −4.24936e6 + 1.31530e7i −0.0654102 + 0.202463i
\(403\) 1.02219e7 + 1.77048e7i 0.156177 + 0.270506i
\(404\) 3.84599e7i 0.583262i
\(405\) 1.16048e6 5.64495e6i 0.0174692 0.0849757i
\(406\) −4.94666e7 −0.739153
\(407\) 2.95331e7 1.70509e7i 0.438052 0.252909i
\(408\) 1.57299e7 + 5.08192e6i 0.231604 + 0.0748251i
\(409\) 6.63201e7 1.14870e8i 0.969338 1.67894i 0.271860 0.962337i \(-0.412361\pi\)
0.697478 0.716606i \(-0.254306\pi\)
\(410\) −2.94255e6 1.69888e6i −0.0426945 0.0246497i
\(411\) −1.23171e6 + 263961.i −0.0177412 + 0.00380202i
\(412\) −5.33558e6 9.24149e6i −0.0762939 0.132145i
\(413\) 2.27463e8i 3.22894i
\(414\) 4.80563e7 + 3.46701e7i 0.677250 + 0.488600i
\(415\) 1.07541e7 0.150463
\(416\) 1.16724e7 6.73906e6i 0.162136 0.0936094i
\(417\) 2.78202e7 2.51338e7i 0.383665 0.346617i
\(418\) 2.15541e7 3.73327e7i 0.295121 0.511165i
\(419\) −9.60118e7 5.54324e7i −1.30522 0.753567i −0.323923 0.946084i \(-0.605002\pi\)
−0.981294 + 0.192517i \(0.938335\pi\)
\(420\) −4.04543e6 4.47783e6i −0.0546030 0.0604393i
\(421\) 4.61752e7 + 7.99777e7i 0.618817 + 1.07182i 0.989702 + 0.143143i \(0.0457210\pi\)
−0.370885 + 0.928679i \(0.620946\pi\)
\(422\) 2.96232e7i 0.394180i
\(423\) 1.27649e8 + 1.29851e7i 1.68654 + 0.171564i
\(424\) −1.51909e7 −0.199290
\(425\) −4.54221e7 + 2.62244e7i −0.591698 + 0.341617i
\(426\) 1.37539e7 + 6.41792e7i 0.177908 + 0.830167i
\(427\) 5.36613e7 9.29440e7i 0.689251 1.19382i
\(428\) 5.98392e7 + 3.45482e7i 0.763228 + 0.440650i
\(429\) −2.36078e7 + 7.30727e7i −0.299009 + 0.925515i
\(430\) −1.65376e6 2.86439e6i −0.0208002 0.0360269i
\(431\) 7.54869e7i 0.942844i −0.881908 0.471422i \(-0.843741\pi\)
0.881908 0.471422i \(-0.156259\pi\)
\(432\) 8.10550e6 1.84537e7i 0.100538 0.228893i
\(433\) −1.02871e8 −1.26716 −0.633578 0.773679i \(-0.718414\pi\)
−0.633578 + 0.773679i \(0.718414\pi\)
\(434\) 2.77239e7 1.60064e7i 0.339145 0.195805i
\(435\) −3.78263e6 1.22207e6i −0.0459543 0.0148466i
\(436\) −1.04263e7 + 1.80588e7i −0.125797 + 0.217887i
\(437\) −7.75815e7 4.47917e7i −0.929638 0.536727i
\(438\) −4.09218e7 + 8.76972e6i −0.487004 + 0.104367i
\(439\) 2.26859e7 + 3.92932e7i 0.268141 + 0.464434i 0.968382 0.249473i \(-0.0802574\pi\)
−0.700241 + 0.713907i \(0.746924\pi\)
\(440\) 2.39946e6i 0.0281680i
\(441\) −1.97627e8 + 8.87822e7i −2.30426 + 1.03517i
\(442\) 4.45171e7 0.515537
\(443\) 9.04082e7 5.21972e7i 1.03991 0.600393i 0.120103 0.992761i \(-0.461677\pi\)
0.919808 + 0.392368i \(0.128344\pi\)
\(444\) −1.78861e7 + 1.61589e7i −0.204346 + 0.184613i
\(445\) 2.91761e6 5.05345e6i 0.0331091 0.0573467i
\(446\) 4.37170e7 + 2.52400e7i 0.492772 + 0.284502i
\(447\) −6.83959e7 7.57065e7i −0.765786 0.847638i
\(448\) −1.05526e7 1.82777e7i −0.117362 0.203277i
\(449\) 1.66601e7i 0.184051i 0.995757 + 0.0920257i \(0.0293342\pi\)
−0.995757 + 0.0920257i \(0.970666\pi\)
\(450\) 2.62060e7 + 5.83341e7i 0.287583 + 0.640155i
\(451\) 6.77049e7 0.738058
\(452\) −1.23478e7 + 7.12902e6i −0.133713 + 0.0771995i
\(453\) −1.43744e7 6.70745e7i −0.154630 0.721544i
\(454\) −3.56360e6 + 6.17233e6i −0.0380821 + 0.0659601i
\(455\) −1.40741e7 8.12567e6i −0.149412 0.0862631i
\(456\) −9.36740e6 + 2.89947e7i −0.0987926 + 0.305791i
\(457\) −8.85805e7 1.53426e8i −0.928088 1.60750i −0.786517 0.617568i \(-0.788118\pi\)
−0.141571 0.989928i \(-0.545215\pi\)
\(458\) 8.62732e7i 0.898006i
\(459\) 5.36606e7 3.93993e7i 0.554903 0.407428i
\(460\) 4.98634e6 0.0512282
\(461\) −1.56103e7 + 9.01261e6i −0.159334 + 0.0919915i −0.577547 0.816358i \(-0.695990\pi\)
0.418213 + 0.908349i \(0.362657\pi\)
\(462\) 1.14424e8 + 3.69673e7i 1.16036 + 0.374880i
\(463\) −2.37373e7 + 4.11143e7i −0.239160 + 0.414238i −0.960474 0.278371i \(-0.910205\pi\)
0.721313 + 0.692609i \(0.243539\pi\)
\(464\) −1.20400e7 6.95129e6i −0.120524 0.0695844i
\(465\) 2.51544e6 539069.i 0.0250181 0.00536149i
\(466\) −2.79542e6 4.84180e6i −0.0276241 0.0478464i
\(467\) 1.97335e7i 0.193755i 0.995296 + 0.0968776i \(0.0308855\pi\)
−0.995296 + 0.0968776i \(0.969114\pi\)
\(468\) 5.49321e6 5.40003e7i 0.0535906 0.526816i
\(469\) 5.82887e7 0.565023
\(470\) 9.35026e6 5.39837e6i 0.0900596 0.0519959i
\(471\) −1.25029e7 + 1.12956e7i −0.119660 + 0.108105i
\(472\) −3.19642e7 + 5.53636e7i −0.303975 + 0.526500i
\(473\) 5.70769e7 + 3.29533e7i 0.539357 + 0.311398i
\(474\) 3.34090e7 + 3.69800e7i 0.313710 + 0.347242i
\(475\) −4.83390e7 8.37256e7i −0.451042 0.781228i
\(476\) 6.97089e7i 0.646350i
\(477\) −3.57931e7 + 4.96129e7i −0.329795 + 0.457130i
\(478\) −1.03354e8 −0.946336
\(479\) −1.65374e8 + 9.54790e7i −1.50474 + 0.868763i −0.504756 + 0.863262i \(0.668418\pi\)
−0.999985 + 0.00550079i \(0.998249\pi\)
\(480\) −355396. 1.65837e6i −0.00321358 0.0149954i
\(481\) −3.24569e7 + 5.62169e7i −0.291656 + 0.505164i
\(482\) −3.16771e6 1.82888e6i −0.0282881 0.0163322i
\(483\) 7.68221e7 2.37786e8i 0.681781 2.11030i
\(484\) 4.43874e6 + 7.68812e6i 0.0391492 + 0.0678085i
\(485\) 932044.i 0.00816980i
\(486\) −4.11709e7 6.99534e7i −0.358659 0.609396i
\(487\) 1.45899e8 1.26318 0.631592 0.775301i \(-0.282402\pi\)
0.631592 + 0.775301i \(0.282402\pi\)
\(488\) 2.61219e7 1.50815e7i 0.224774 0.129773i
\(489\) −5.56825e7 1.79895e7i −0.476203 0.153848i
\(490\) −9.11543e6 + 1.57884e7i −0.0774799 + 0.134199i
\(491\) 8.25152e7 + 4.76402e7i 0.697091 + 0.402466i 0.806263 0.591557i \(-0.201487\pi\)
−0.109172 + 0.994023i \(0.534820\pi\)
\(492\) −4.67937e7 + 1.00281e7i −0.392909 + 0.0842021i
\(493\) −2.29595e7 3.97670e7i −0.191612 0.331881i
\(494\) 8.20574e7i 0.680671i
\(495\) 7.83656e6 + 5.65366e6i 0.0646115 + 0.0466138i
\(496\) 8.99719e6 0.0737330
\(497\) 2.39706e8 1.38394e8i 1.95258 1.12732i
\(498\) 1.12392e8 1.01539e8i 0.910016 0.822141i
\(499\) −1.09268e8 + 1.89258e8i −0.879410 + 1.52318i −0.0274196 + 0.999624i \(0.508729\pi\)
−0.851990 + 0.523558i \(0.824604\pi\)
\(500\) 9.35592e6 + 5.40164e6i 0.0748474 + 0.0432132i
\(501\) −6.00932e7 6.65163e7i −0.477872 0.528950i
\(502\) −2.89652e6 5.01692e6i −0.0228963 0.0396576i
\(503\) 1.09519e8i 0.860569i 0.902693 + 0.430285i \(0.141587\pi\)
−0.902693 + 0.430285i \(0.858413\pi\)
\(504\) −8.45587e7 8.60177e6i −0.660491 0.0671887i
\(505\) −1.30332e7 −0.101199
\(506\) −8.60479e7 + 4.96798e7i −0.664184 + 0.383467i
\(507\) −3.32151e6 1.54991e7i −0.0254866 0.118927i
\(508\) −5.03253e7 + 8.71661e7i −0.383880 + 0.664900i
\(509\) 2.82418e7 + 1.63054e7i 0.214161 + 0.123646i 0.603243 0.797557i \(-0.293875\pi\)
−0.389083 + 0.921203i \(0.627208\pi\)
\(510\) 1.72215e6 5.33053e6i 0.0129826 0.0401846i
\(511\) 8.82426e7 + 1.52841e8i 0.661326 + 1.14545i
\(512\) 5.93164e6i 0.0441942i
\(513\) 7.26240e7 + 9.89115e7i 0.537933 + 0.732647i
\(514\) 5.73238e7 0.422129
\(515\) −3.13174e6 + 1.80811e6i −0.0229279 + 0.0132374i
\(516\) −4.43291e7 1.43215e7i −0.322656 0.104241i
\(517\) −1.07570e8 + 1.86316e8i −0.778429 + 1.34828i
\(518\) 8.80297e7 + 5.08240e7i 0.633345 + 0.365662i
\(519\) 2.41412e7 5.17357e6i 0.172686 0.0370074i
\(520\) −2.28372e6 3.95552e6i −0.0162417 0.0281315i
\(521\) 1.60218e8i 1.13292i 0.824090 + 0.566459i \(0.191687\pi\)
−0.824090 + 0.566459i \(0.808313\pi\)
\(522\) −5.10716e7 + 2.29434e7i −0.359060 + 0.161304i
\(523\) −1.05186e8 −0.735277 −0.367638 0.929969i \(-0.619834\pi\)
−0.367638 + 0.929969i \(0.619834\pi\)
\(524\) 2.89955e7 1.67405e7i 0.201528 0.116352i
\(525\) 2.00107e8 1.80784e8i 1.38288 1.24934i
\(526\) 6.25868e7 1.08403e8i 0.430056 0.744880i
\(527\) 2.57356e7 + 1.48585e7i 0.175834 + 0.101518i
\(528\) 2.26556e7 + 2.50771e7i 0.153912 + 0.170363i
\(529\) 2.92221e7 + 5.06141e7i 0.197398 + 0.341904i
\(530\) 5.14786e6i 0.0345779i
\(531\) 1.05501e8 + 2.34843e8i 0.704648 + 1.56853i
\(532\) 1.28493e8 0.853385
\(533\) −1.11612e8 + 6.44390e7i −0.737103 + 0.425566i
\(534\) −1.72220e7 8.03623e7i −0.113099 0.527750i
\(535\) 1.17076e7 2.02782e7i 0.0764552 0.132424i
\(536\) 1.41873e7 + 8.19102e6i 0.0921307 + 0.0531917i
\(537\) −2.84415e7 + 8.80344e7i −0.183666 + 0.568499i
\(538\) −5.08626e7 8.80966e7i −0.326627 0.565734i
\(539\) 3.63274e8i 2.31989i
\(540\) −6.25357e6 2.74678e6i −0.0397143 0.0174438i
\(541\) 5.75829e7 0.363665 0.181833 0.983329i \(-0.441797\pi\)
0.181833 + 0.983329i \(0.441797\pi\)
\(542\) −1.51074e8 + 8.72228e7i −0.948840 + 0.547813i
\(543\) −1.32710e8 4.28749e7i −0.828902 0.267795i
\(544\) 9.79585e6 1.69669e7i 0.0608479 0.105392i
\(545\) 6.11974e6 + 3.53324e6i 0.0378045 + 0.0218265i
\(546\) −2.23812e8 + 4.79639e7i −1.37501 + 0.294671i
\(547\) −1.48740e8 2.57625e8i −0.908793 1.57408i −0.815743 0.578414i \(-0.803672\pi\)
−0.0930497 0.995661i \(-0.529662\pi\)
\(548\) 1.49295e6i 0.00907203i
\(549\) 1.22934e7 1.20849e8i 0.0742940 0.730339i
\(550\) −1.07228e8 −0.644498
\(551\) 7.33019e7 4.23208e7i 0.438188 0.252988i
\(552\) 5.21130e7 4.70808e7i 0.309834 0.279915i
\(553\) 1.05080e8 1.82004e8i 0.621363 1.07623i
\(554\) −5.80633e7 3.35229e7i −0.341486 0.197157i
\(555\) 5.47590e6 + 6.06119e6i 0.0320314 + 0.0354551i
\(556\) −2.22176e7 3.84821e7i −0.129263 0.223890i
\(557\) 1.72089e8i 0.995837i −0.867224 0.497919i \(-0.834098\pi\)
0.867224 0.497919i \(-0.165902\pi\)
\(558\) 2.11994e7 2.93845e7i 0.122017 0.169128i
\(559\) −1.25455e8 −0.718212
\(560\) −6.19392e6 + 3.57606e6i −0.0352697 + 0.0203629i
\(561\) 2.33903e7 + 1.09146e8i 0.132479 + 0.618183i
\(562\) −1.59933e7 + 2.77012e7i −0.0901008 + 0.156059i
\(563\) 9.58319e7 + 5.53286e7i 0.537013 + 0.310045i 0.743867 0.668327i \(-0.232989\pi\)
−0.206855 + 0.978372i \(0.566323\pi\)
\(564\) 4.67499e7 1.44704e8i 0.260581 0.806571i
\(565\) 2.41587e6 + 4.18440e6i 0.0133945 + 0.0232000i
\(566\) 1.24951e8i 0.689113i
\(567\) −2.27332e8 + 2.55898e8i −1.24713 + 1.40384i
\(568\) 7.77913e7 0.424508
\(569\) 2.68592e8 1.55071e8i 1.45799 0.841773i 0.459081 0.888395i \(-0.348179\pi\)
0.998913 + 0.0466219i \(0.0148456\pi\)
\(570\) 9.82567e6 + 3.17441e6i 0.0530564 + 0.0171411i
\(571\) 4.43183e7 7.67616e7i 0.238054 0.412321i −0.722102 0.691787i \(-0.756824\pi\)
0.960156 + 0.279465i \(0.0901573\pi\)
\(572\) 7.88189e7 + 4.55061e7i 0.421156 + 0.243154i
\(573\) 1.42094e8 3.04514e7i 0.755287 0.161861i
\(574\) 1.00905e8 + 1.74772e8i 0.533550 + 0.924136i
\(575\) 2.22832e8i 1.17213i
\(576\) −1.93725e7 1.39763e7i −0.101372 0.0731347i
\(577\) 2.56524e7 0.133537 0.0667683 0.997769i \(-0.478731\pi\)
0.0667683 + 0.997769i \(0.478731\pi\)
\(578\) −6.22093e7 + 3.59165e7i −0.322160 + 0.185999i
\(579\) −1.49537e8 + 1.35097e8i −0.770393 + 0.696000i
\(580\) −2.35564e6 + 4.08009e6i −0.0120733 + 0.0209115i
\(581\) −5.53161e8 3.19368e8i −2.82048 1.62841i
\(582\) −8.80030e6 9.74093e6i −0.0446405 0.0494119i
\(583\) −5.12890e7 8.88351e7i −0.258832 0.448311i
\(584\) 4.96011e7i 0.249031i
\(585\) −1.82995e7 1.86153e6i −0.0914055 0.00929826i
\(586\) 2.43741e8 1.21126
\(587\) −1.28875e8 + 7.44061e7i −0.637169 + 0.367870i −0.783523 0.621363i \(-0.786579\pi\)
0.146354 + 0.989232i \(0.453246\pi\)
\(588\) 5.38063e7 + 2.51074e8i 0.264668 + 1.23501i
\(589\) −2.73883e7 + 4.74380e7i −0.134035 + 0.232156i
\(590\) 1.87615e7 + 1.08320e7i 0.0913506 + 0.0527413i
\(591\) −2.20885e7 + 6.83700e7i −0.107005 + 0.331210i
\(592\) 1.42841e7 + 2.47407e7i 0.0688473 + 0.119247i
\(593\) 2.06413e8i 0.989858i 0.868933 + 0.494929i \(0.164806\pi\)
−0.868933 + 0.494929i \(0.835194\pi\)
\(594\) 1.35283e8 1.49050e7i 0.645480 0.0711170i
\(595\) −2.36228e7 −0.112145
\(596\) −1.04720e8 + 6.04603e7i −0.494644 + 0.285583i
\(597\) 2.90669e8 + 9.39072e7i 1.36608 + 0.441343i
\(598\) 9.45667e7 1.63794e8i 0.442216 0.765941i
\(599\) 1.91678e8 + 1.10665e8i 0.891850 + 0.514910i 0.874547 0.484941i \(-0.161159\pi\)
0.0173027 + 0.999850i \(0.494492\pi\)
\(600\) 7.41101e7 1.58821e7i 0.343102 0.0735283i
\(601\) −4.57176e7 7.91852e7i −0.210601 0.364771i 0.741302 0.671172i \(-0.234209\pi\)
−0.951903 + 0.306400i \(0.900875\pi\)
\(602\) 1.96449e8i 0.900453i
\(603\) 6.01799e7 2.70352e7i 0.274473 0.123304i
\(604\) −8.13007e7 −0.368964
\(605\) 2.60533e6 1.50419e6i 0.0117651 0.00679261i
\(606\) −1.36212e8 + 1.23059e8i −0.612065 + 0.552961i
\(607\) 2.51216e7 4.35118e7i 0.112326 0.194554i −0.804382 0.594113i \(-0.797503\pi\)
0.916708 + 0.399558i \(0.130837\pi\)
\(608\) 3.12748e7 + 1.80565e7i 0.139150 + 0.0803383i
\(609\) 1.58277e8 + 1.75194e8i 0.700753 + 0.775654i
\(610\) −5.11079e6 8.85214e6i −0.0225164 0.0389995i
\(611\) 4.09524e8i 1.79538i
\(612\) −3.23321e7 7.19706e7i −0.141052 0.313979i
\(613\) 7.04589e7 0.305883 0.152941 0.988235i \(-0.451125\pi\)
0.152941 + 0.988235i \(0.451125\pi\)
\(614\) 3.48920e7 2.01449e7i 0.150737 0.0870282i
\(615\) 3.39830e6 + 1.58574e7i 0.0146095 + 0.0681719i
\(616\) 7.12577e7 1.23422e8i 0.304853 0.528020i
\(617\) −3.49705e8 2.01902e8i −1.48883 0.859578i −0.488914 0.872332i \(-0.662607\pi\)
−0.999919 + 0.0127536i \(0.995940\pi\)
\(618\) −1.56582e7 + 4.84665e7i −0.0663402 + 0.205341i
\(619\) 5.01217e7 + 8.68133e7i 0.211326 + 0.366028i 0.952130 0.305694i \(-0.0988883\pi\)
−0.740803 + 0.671722i \(0.765555\pi\)
\(620\) 3.04895e6i 0.0127931i
\(621\) −3.09743e7 2.81132e8i −0.129338 1.17391i
\(622\) 1.26309e8 0.524885
\(623\) −3.00149e8 + 1.73291e8i −1.24129 + 0.716657i
\(624\) −6.12153e7 1.97770e7i −0.251945 0.0813966i
\(625\) −1.19321e8 + 2.06670e8i −0.488739 + 0.846521i
\(626\) 1.31325e8 + 7.58204e7i 0.535333 + 0.309075i
\(627\) −2.01186e8 + 4.31150e7i −0.816197 + 0.174914i
\(628\) 9.98503e6 + 1.72946e7i 0.0403154 + 0.0698282i
\(629\) 9.43581e7i 0.379164i
\(630\) −2.91495e6 + 2.86551e7i −0.0116576 + 0.114599i
\(631\) 1.87082e8 0.744635 0.372318 0.928105i \(-0.378563\pi\)
0.372318 + 0.928105i \(0.378563\pi\)
\(632\) 5.11523e7 2.95328e7i 0.202635 0.116991i
\(633\) −1.04915e8 + 9.47843e7i −0.413645 + 0.373702i
\(634\) −8.04533e7 + 1.39349e8i −0.315701 + 0.546811i
\(635\) 2.95387e7 + 1.70542e7i 0.115364 + 0.0666053i
\(636\) 4.86058e7 + 5.38011e7i 0.188937 + 0.209132i
\(637\) 3.45751e8 + 5.98858e8i 1.33766 + 2.31689i
\(638\) 9.38785e7i 0.361497i
\(639\) 1.83294e8 2.54064e8i 0.702497 0.973733i
\(640\) −2.01010e6 −0.00766793
\(641\) 3.75881e8 2.17015e8i 1.42717 0.823977i 0.430274 0.902699i \(-0.358417\pi\)
0.996897 + 0.0787213i \(0.0250837\pi\)
\(642\) −6.91073e7 3.22473e8i −0.261167 1.21868i
\(643\) 2.06418e8 3.57527e8i 0.776453 1.34486i −0.157521 0.987516i \(-0.550350\pi\)
0.933974 0.357341i \(-0.116317\pi\)
\(644\) −2.56484e8 1.48081e8i −0.960292 0.554425i
\(645\) −4.85325e6 + 1.50222e7i −0.0180865 + 0.0559826i
\(646\) 5.96390e7 + 1.03298e8i 0.221224 + 0.383172i
\(647\) 2.07934e8i 0.767736i 0.923388 + 0.383868i \(0.125408\pi\)
−0.923388 + 0.383868i \(0.874592\pi\)
\(648\) −9.12919e7 + 3.03388e7i −0.335511 + 0.111500i
\(649\) −4.31682e8 −1.57917
\(650\) 1.76766e8 1.02056e8i 0.643664 0.371619i
\(651\) −1.45396e8 4.69736e7i −0.527000 0.170259i
\(652\) −3.46763e7 + 6.00612e7i −0.125109 + 0.216696i
\(653\) 3.53999e8 + 2.04381e8i 1.27134 + 0.734010i 0.975241 0.221147i \(-0.0709799\pi\)
0.296102 + 0.955156i \(0.404313\pi\)
\(654\) 9.73190e7 2.08559e7i 0.347908 0.0745581i
\(655\) −5.67300e6 9.82593e6i −0.0201878 0.0349663i
\(656\) 5.67185e7i 0.200915i
\(657\) 1.61996e8 + 1.16871e8i 0.571225 + 0.412108i
\(658\) −6.41270e8 −2.25094
\(659\) −8.10352e7 + 4.67857e7i −0.283150 + 0.163477i −0.634849 0.772636i \(-0.718938\pi\)
0.351698 + 0.936113i \(0.385604\pi\)
\(660\) 8.49809e6 7.67748e6i 0.0295590 0.0267046i
\(661\) 1.45940e8 2.52776e8i 0.505326 0.875249i −0.494656 0.869089i \(-0.664706\pi\)
0.999981 0.00616033i \(-0.00196090\pi\)
\(662\) −3.21105e8 1.85390e8i −1.10681 0.639018i
\(663\) −1.42440e8 1.57664e8i −0.488754 0.540995i
\(664\) −8.97583e7 1.55466e8i −0.306599 0.531045i
\(665\) 4.35435e7i 0.148067i
\(666\) 1.14459e8 + 1.16434e7i 0.387460 + 0.0394145i
\(667\) −1.95090e8 −0.657442
\(668\) −9.20081e7 + 5.31209e7i −0.308672 + 0.178212i
\(669\) −5.04881e7 2.35591e8i −0.168621 0.786828i
\(670\) 2.77576e6 4.80775e6i 0.00922905 0.0159852i
\(671\) 1.76391e8 + 1.01839e8i 0.583859 + 0.337091i
\(672\) −3.09686e7 + 9.58565e7i −0.102050 + 0.315874i
\(673\) −2.13652e8 3.70056e8i −0.700908 1.21401i −0.968148 0.250378i \(-0.919445\pi\)
0.267240 0.963630i \(-0.413888\pi\)
\(674\) 1.75343e7i 0.0572675i
\(675\) 1.22749e8 2.79463e8i 0.399124 0.908683i
\(676\) −1.87863e7 −0.0608138
\(677\) −1.64600e8 + 9.50320e7i −0.530475 + 0.306270i −0.741210 0.671274i \(-0.765748\pi\)
0.210735 + 0.977543i \(0.432414\pi\)
\(678\) 6.47575e7 + 2.09214e7i 0.207779 + 0.0671276i
\(679\) −2.76793e7 + 4.79419e7i −0.0884189 + 0.153146i
\(680\) −5.74971e6 3.31960e6i −0.0182860 0.0105574i
\(681\) 3.32626e7 7.12832e6i 0.105321 0.0225708i
\(682\) 3.03772e7 + 5.26148e7i 0.0957623 + 0.165865i
\(683\) 4.43458e8i 1.39184i 0.718118 + 0.695921i \(0.245004\pi\)
−0.718118 + 0.695921i \(0.754996\pi\)
\(684\) 1.32662e8 5.95972e7i 0.414552 0.186233i
\(685\) 505929. 0.00157405
\(686\) 5.66524e8 3.27083e8i 1.75487 1.01318i
\(687\) −3.05551e8 + 2.76045e8i −0.942352 + 0.851354i
\(688\) −2.76060e7 + 4.78150e7i −0.0847693 + 0.146825i
\(689\) 1.69100e8 + 9.76299e7i 0.516994 + 0.298487i
\(690\) −1.59546e7 1.76600e7i −0.0485668 0.0537579i
\(691\) 2.11824e8 + 3.66889e8i 0.642008 + 1.11199i 0.984984 + 0.172646i \(0.0552315\pi\)
−0.342976 + 0.939344i \(0.611435\pi\)
\(692\) 2.92615e7i 0.0883035i
\(693\) −2.35193e8 5.23535e8i −0.706683 1.57306i
\(694\) −2.78170e7 −0.0832207
\(695\) −1.30407e7 + 7.52907e6i −0.0388461 + 0.0224278i
\(696\) 1.39048e7 + 6.48834e7i 0.0412417 + 0.192445i
\(697\) −9.36681e7 + 1.62238e8i −0.276626 + 0.479130i
\(698\) 8.81220e7 + 5.08773e7i 0.259130 + 0.149609i
\(699\) −8.20365e6 + 2.53926e7i −0.0240201 + 0.0743490i
\(700\) −1.59809e8 2.76797e8i −0.465915 0.806988i
\(701\) 3.61142e8i 1.04839i −0.851598 0.524196i \(-0.824366\pi\)
0.851598 0.524196i \(-0.175634\pi\)
\(702\) −2.08827e8 + 1.53328e8i −0.603638 + 0.443210i
\(703\) −1.73929e8 −0.500616
\(704\) 3.46878e7 2.00270e7i 0.0994164 0.0573981i
\(705\) −4.90369e7 1.58425e7i −0.139945 0.0452123i
\(706\) −6.47744e7 + 1.12192e8i −0.184073 + 0.318823i
\(707\) 6.70394e8 + 3.87052e8i 1.89702 + 1.09524i
\(708\) 2.98354e8 6.39385e7i 0.840682 0.180162i
\(709\) 8.93551e7 + 1.54768e8i 0.250715 + 0.434252i 0.963723 0.266905i \(-0.0860009\pi\)
−0.713008 + 0.701156i \(0.752668\pi\)
\(710\) 2.63618e7i 0.0736545i
\(711\) 2.40730e7 2.36647e8i 0.0669764 0.658404i
\(712\) −9.74068e7 −0.269867
\(713\) 1.09339e8 6.31271e7i 0.301653 0.174160i
\(714\) −2.46886e8 + 2.23045e8i −0.678268 + 0.612771i
\(715\) 1.54210e7 2.67100e7i 0.0421886 0.0730728i
\(716\) 9.49572e7 + 5.48235e7i 0.258695 + 0.149358i
\(717\) 3.30700e8 + 3.66047e8i 0.897173 + 0.993068i
\(718\) 1.23776e8 + 2.14387e8i 0.334399 + 0.579196i
\(719\) 3.00407e8i 0.808209i −0.914713 0.404105i \(-0.867583\pi\)
0.914713 0.404105i \(-0.132417\pi\)
\(720\) −4.73624e6 + 6.56492e6i −0.0126893 + 0.0175886i
\(721\) 2.14785e8 0.573056
\(722\) 4.00698e7 2.31343e7i 0.106465 0.0614675i
\(723\) 3.65834e6 + 1.70708e7i 0.00967986 + 0.0451688i
\(724\) −8.26451e7 + 1.43146e8i −0.217772 + 0.377192i
\(725\) −1.82333e8 1.05270e8i −0.478466 0.276243i
\(726\) 1.30263e7 4.03199e7i 0.0340416 0.105368i
\(727\) −2.94693e7 5.10424e7i −0.0766950 0.132840i 0.825127 0.564947i \(-0.191103\pi\)
−0.901822 + 0.432107i \(0.857770\pi\)
\(728\) 2.71282e8i 0.703116i
\(729\) −1.16018e8 + 3.69641e8i −0.299463 + 0.954108i
\(730\) 1.68087e7 0.0432082
\(731\) −1.57929e8 + 9.11803e7i −0.404305 + 0.233426i
\(732\) −1.36995e8 4.42593e7i −0.349278 0.112842i
\(733\) −2.24838e8 + 3.89431e8i −0.570898 + 0.988824i 0.425577 + 0.904922i \(0.360071\pi\)
−0.996474 + 0.0839011i \(0.973262\pi\)
\(734\) 7.54291e6 + 4.35490e6i 0.0190744 + 0.0110126i
\(735\) 8.50835e7 1.82338e7i 0.214281 0.0459213i
\(736\) −4.16183e7 7.20849e7i −0.104388 0.180805i
\(737\) 1.10621e8i 0.276335i
\(738\) 1.85240e8 + 1.33641e8i 0.460858 + 0.332484i
\(739\) 5.27583e8 1.30725 0.653623 0.756820i \(-0.273248\pi\)
0.653623 + 0.756820i \(0.273248\pi\)
\(740\) 8.38409e6 4.84056e6i 0.0206900 0.0119454i
\(741\) 2.90620e8 2.62556e8i 0.714284 0.645309i
\(742\) 1.52878e8 2.64792e8i 0.374225 0.648177i
\(743\) −2.13537e8 1.23286e8i −0.520603 0.300570i 0.216578 0.976265i \(-0.430510\pi\)
−0.737181 + 0.675695i \(0.763844\pi\)
\(744\) −2.87880e7 3.18650e7i −0.0699025 0.0773741i
\(745\) 2.04887e7 + 3.54874e7i 0.0495502 + 0.0858234i
\(746\) 3.71504e7i 0.0894842i
\(747\) −7.19237e8 7.31647e7i −1.72548 0.175525i
\(748\) 1.32295e8 0.316110
\(749\) −1.20442e9 + 6.95371e8i −2.86636 + 1.65490i
\(750\) −1.08050e7 5.04190e7i −0.0256119 0.119512i
\(751\) 3.07706e8 5.32963e8i 0.726468 1.25828i −0.231899 0.972740i \(-0.574494\pi\)
0.958367 0.285539i \(-0.0921727\pi\)
\(752\) −1.56083e8 9.01145e7i −0.367030 0.211905i
\(753\) −8.50036e6 + 2.63110e7i −0.0199091 + 0.0616243i
\(754\) 8.93501e7 + 1.54759e8i 0.208440 + 0.361029i
\(755\) 2.75510e7i 0.0640172i
\(756\) 2.40095e8 + 3.27002e8i 0.555671 + 0.756806i
\(757\) −3.11945e8 −0.719102 −0.359551 0.933125i \(-0.617070\pi\)
−0.359551 + 0.933125i \(0.617070\pi\)
\(758\) −6.87509e7 + 3.96933e7i −0.157859 + 0.0911402i
\(759\) 4.51274e8 + 1.45794e8i 1.03208 + 0.333438i
\(760\) 6.11895e6 1.05983e7i 0.0139391 0.0241433i
\(761\) −1.99844e8 1.15380e8i