Properties

Label 29.9.f.a.3.1
Level $29$
Weight $9$
Character 29.3
Analytic conductor $11.814$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.8139796918\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(19\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 3.1
Character \(\chi\) \(=\) 29.3
Dual form 29.9.f.a.10.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-25.9849 - 16.3274i) q^{2} +(93.5645 - 32.7396i) q^{3} +(297.558 + 617.886i) q^{4} +(-652.275 + 148.877i) q^{5} +(-2965.82 - 676.929i) q^{6} +(2496.53 + 1202.27i) q^{7} +(1476.82 - 13107.1i) q^{8} +(2552.84 - 2035.82i) q^{9} +O(q^{10})\) \(q+(-25.9849 - 16.3274i) q^{2} +(93.5645 - 32.7396i) q^{3} +(297.558 + 617.886i) q^{4} +(-652.275 + 148.877i) q^{5} +(-2965.82 - 676.929i) q^{6} +(2496.53 + 1202.27i) q^{7} +(1476.82 - 13107.1i) q^{8} +(2552.84 - 2035.82i) q^{9} +(19380.1 + 6781.39i) q^{10} +(-2854.15 - 25331.3i) q^{11} +(48070.2 + 48070.2i) q^{12} +(-18661.6 - 14882.1i) q^{13} +(-45242.3 - 72002.8i) q^{14} +(-56155.6 + 35284.9i) q^{15} +(-142918. + 179213. i) q^{16} +(-33455.0 + 33455.0i) q^{17} +(-99575.0 + 11219.4i) q^{18} +(44702.5 - 127752. i) q^{19} +(-286079. - 358731. i) q^{20} +(272949. + 30753.9i) q^{21} +(-339429. + 704832. i) q^{22} +(36794.7 - 161208. i) q^{23} +(-290945. - 1.27471e6i) q^{24} +(51356.7 - 24732.1i) q^{25} +(241933. + 691405. i) q^{26} +(-173817. + 276627. i) q^{27} +1.90032e6i q^{28} +(-549688. - 445072. i) q^{29} +2.03531e6 q^{30} +(-222378. - 139729. i) q^{31} +(3.45262e6 - 1.20812e6i) q^{32} +(-1.09638e6 - 2.27666e6i) q^{33} +(1.41556e6 - 323092. i) q^{34} +(-1.80742e6 - 412531. i) q^{35} +(2.01752e6 + 971587. i) q^{36} +(271984. - 2.41392e6i) q^{37} +(-3.24746e6 + 2.58976e6i) q^{38} +(-2.23329e6 - 781463. i) q^{39} +(988065. + 8.76932e6i) q^{40} +(2.01161e6 + 2.01161e6i) q^{41} +(-6.59042e6 - 5.25569e6i) q^{42} +(-1.11166e6 - 1.76919e6i) q^{43} +(1.48026e7 - 9.30106e6i) q^{44} +(-1.36206e6 + 1.70797e6i) q^{45} +(-3.58822e6 + 3.58822e6i) q^{46} +(-2.74566e6 + 309362. i) q^{47} +(-7.50465e6 + 2.14471e7i) q^{48} +(1.19294e6 + 1.49590e6i) q^{49} +(-1.73831e6 - 195861. i) q^{50} +(-2.03490e6 + 4.22551e6i) q^{51} +(3.64254e6 - 1.59590e7i) q^{52} +(-1.91644e6 - 8.39647e6i) q^{53} +(9.03322e6 - 4.35017e6i) q^{54} +(5.63294e6 + 1.60980e7i) q^{55} +(1.94452e7 - 3.09469e7i) q^{56} -1.34166e7i q^{57} +(7.01672e6 + 2.05402e7i) q^{58} -1.05938e7 q^{59} +(-3.85116e7 - 2.41984e7i) q^{60} +(1.66630e7 - 5.83062e6i) q^{61} +(3.49706e6 + 7.26172e6i) q^{62} +(8.82085e6 - 2.01330e6i) q^{63} +(-5.22320e7 - 1.19216e7i) q^{64} +(1.43881e7 + 6.92893e6i) q^{65} +(-8.68259e6 + 7.70601e7i) q^{66} +(-7.31557e6 + 5.83397e6i) q^{67} +(-3.06262e7 - 1.07166e7i) q^{68} +(-1.83522e6 - 1.62880e7i) q^{69} +(4.02300e7 + 4.02300e7i) q^{70} +(-1.93567e7 - 1.54364e7i) q^{71} +(-2.29137e7 - 3.64669e7i) q^{72} +(-1.33793e7 + 8.40679e6i) q^{73} +(-4.64806e7 + 5.82848e7i) q^{74} +(3.99544e6 - 3.99544e6i) q^{75} +(9.22380e7 - 1.03927e7i) q^{76} +(2.33295e7 - 6.66718e7i) q^{77} +(4.52727e7 + 5.67702e7i) q^{78} +(-1.81723e7 - 2.04753e6i) q^{79} +(6.65408e7 - 1.38173e8i) q^{80} +(-1.19734e7 + 5.24591e7i) q^{81} +(-1.94272e7 - 8.51160e7i) q^{82} +(4.22464e7 - 2.03448e7i) q^{83} +(6.22157e7 + 1.77802e8i) q^{84} +(1.68412e7 - 2.68025e7i) q^{85} +6.41229e7i q^{86} +(-6.60028e7 - 2.36464e7i) q^{87} -3.36236e8 q^{88} +(1.01204e8 + 6.35910e7i) q^{89} +(6.32799e7 - 2.21426e7i) q^{90} +(-2.86970e7 - 5.95898e7i) q^{91} +(1.10557e8 - 2.52339e7i) q^{92} +(-2.53814e7 - 5.79314e6i) q^{93} +(7.63969e7 + 3.67908e7i) q^{94} +(-1.01389e7 + 8.99849e7i) q^{95} +(2.83489e8 - 2.26075e8i) q^{96} +(9.20721e7 + 3.22174e7i) q^{97} +(-6.57429e6 - 5.83485e7i) q^{98} +(-5.88561e7 - 5.88561e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} - 15884q^{10} + 8376q^{11} - 5036q^{12} - 14q^{13} - 12742q^{14} + 35516q^{15} + 245898q^{16} - 76248q^{17} + 465008q^{18} + 164474q^{19} - 907274q^{20} - 628270q^{21} + 1214962q^{22} + 173408q^{23} + 1858618q^{24} + 43976q^{25} - 4604204q^{26} - 1727586q^{27} + 1079922q^{29} + 8909208q^{30} + 3657848q^{31} + 1160364q^{32} - 4279184q^{33} - 8655374q^{34} - 8269058q^{35} - 3366854q^{36} - 5622890q^{37} + 15536626q^{38} + 16110008q^{39} - 23544696q^{40} - 9561672q^{41} - 14q^{42} + 5181008q^{43} + 51041750q^{44} - 35245194q^{45} - 43159224q^{46} - 12806808q^{47} + 83954488q^{48} + 10429400q^{49} + 80809398q^{50} + 18760882q^{51} - 93050550q^{52} - 30960322q^{53} - 106220916q^{54} - 126174004q^{55} - 40136268q^{56} + 159368354q^{58} + 11188020q^{59} + 255893612q^{60} + 139657128q^{61} + 102501616q^{62} + 9797746q^{63} - 135941792q^{64} - 14207858q^{65} - 447597656q^{66} - 148930894q^{67} - 167094904q^{68} + 66986722q^{69} + 586255934q^{70} - 15272096q^{71} + 41230600q^{72} - 219415072q^{73} - 347464696q^{74} + 391507416q^{75} + 271512490q^{76} + 240416780q^{77} + 141747906q^{78} + 112667220q^{79} - 375642638q^{80} - 358099268q^{81} - 262154910q^{82} - 109463350q^{83} - 694921012q^{84} - 356627386q^{85} + 199703522q^{87} + 251202768q^{88} + 839849154q^{89} + 675826020q^{90} + 533256766q^{91} + 742339570q^{92} + 78998570q^{93} - 209116610q^{94} - 633414122q^{95} - 431412576q^{96} - 402046736q^{97} - 2192087384q^{98} - 1966368188q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −25.9849 16.3274i −1.62406 1.02046i −0.962766 0.270335i \(-0.912866\pi\)
−0.661292 0.750129i \(-0.729992\pi\)
\(3\) 93.5645 32.7396i 1.15512 0.404193i 0.316328 0.948650i \(-0.397550\pi\)
0.838789 + 0.544457i \(0.183264\pi\)
\(4\) 297.558 + 617.886i 1.16234 + 2.41362i
\(5\) −652.275 + 148.877i −1.04364 + 0.238204i −0.709783 0.704420i \(-0.751207\pi\)
−0.333856 + 0.942624i \(0.608350\pi\)
\(6\) −2965.82 676.929i −2.28844 0.522322i
\(7\) 2496.53 + 1202.27i 1.03979 + 0.500736i 0.874255 0.485468i \(-0.161351\pi\)
0.165535 + 0.986204i \(0.447065\pi\)
\(8\) 1476.82 13107.1i 0.360552 3.19998i
\(9\) 2552.84 2035.82i 0.389093 0.310291i
\(10\) 19380.1 + 6781.39i 1.93801 + 0.678139i
\(11\) −2854.15 25331.3i −0.194942 1.73016i −0.586450 0.809985i \(-0.699475\pi\)
0.391508 0.920175i \(-0.371954\pi\)
\(12\) 48070.2 + 48070.2i 2.31820 + 2.31820i
\(13\) −18661.6 14882.1i −0.653393 0.521064i 0.239751 0.970834i \(-0.422934\pi\)
−0.893144 + 0.449771i \(0.851506\pi\)
\(14\) −45242.3 72002.8i −1.17770 1.87429i
\(15\) −56155.6 + 35284.9i −1.10925 + 0.696985i
\(16\) −142918. + 179213.i −2.18075 + 2.73457i
\(17\) −33455.0 + 33455.0i −0.400558 + 0.400558i −0.878430 0.477872i \(-0.841408\pi\)
0.477872 + 0.878430i \(0.341408\pi\)
\(18\) −99575.0 + 11219.4i −0.948550 + 0.106876i
\(19\) 44702.5 127752.i 0.343019 0.980291i −0.635134 0.772402i \(-0.719055\pi\)
0.978152 0.207889i \(-0.0666592\pi\)
\(20\) −286079. 358731.i −1.78799 2.24207i
\(21\) 272949. + 30753.9i 1.40347 + 0.158133i
\(22\) −339429. + 704832.i −1.44897 + 3.00881i
\(23\) 36794.7 161208.i 0.131484 0.576071i −0.865665 0.500623i \(-0.833104\pi\)
0.997150 0.0754476i \(-0.0240386\pi\)
\(24\) −290945. 1.27471e6i −0.876932 3.84209i
\(25\) 51356.7 24732.1i 0.131473 0.0633141i
\(26\) 241933. + 691405.i 0.529422 + 1.51300i
\(27\) −173817. + 276627.i −0.327067 + 0.520523i
\(28\) 1.90032e6i 3.09167i
\(29\) −549688. 445072.i −0.777185 0.629272i
\(30\) 2.03531e6 2.51273
\(31\) −222378. 139729.i −0.240794 0.151301i 0.406229 0.913771i \(-0.366843\pi\)
−0.647023 + 0.762470i \(0.723986\pi\)
\(32\) 3.45262e6 1.20812e6i 3.29268 1.15216i
\(33\) −1.09638e6 2.27666e6i −0.924500 1.91974i
\(34\) 1.41556e6 323092.i 1.05928 0.241775i
\(35\) −1.80742e6 412531.i −1.20444 0.274906i
\(36\) 2.01752e6 + 971587.i 1.20118 + 0.578458i
\(37\) 271984. 2.41392e6i 0.145123 1.28800i −0.684226 0.729270i \(-0.739860\pi\)
0.829349 0.558731i \(-0.188712\pi\)
\(38\) −3.24746e6 + 2.58976e6i −1.55743 + 1.24201i
\(39\) −2.23329e6 781463.i −0.965356 0.337793i
\(40\) 988065. + 8.76932e6i 0.385963 + 3.42551i
\(41\) 2.01161e6 + 2.01161e6i 0.711883 + 0.711883i 0.966929 0.255046i \(-0.0820907\pi\)
−0.255046 + 0.966929i \(0.582091\pi\)
\(42\) −6.59042e6 5.25569e6i −2.11795 1.68901i
\(43\) −1.11166e6 1.76919e6i −0.325160 0.517490i 0.643641 0.765327i \(-0.277423\pi\)
−0.968802 + 0.247838i \(0.920280\pi\)
\(44\) 1.48026e7 9.30106e6i 3.94935 2.48154i
\(45\) −1.36206e6 + 1.70797e6i −0.332160 + 0.416516i
\(46\) −3.58822e6 + 3.58822e6i −0.801397 + 0.801397i
\(47\) −2.74566e6 + 309362.i −0.562673 + 0.0633980i −0.388720 0.921356i \(-0.627083\pi\)
−0.173953 + 0.984754i \(0.555654\pi\)
\(48\) −7.50465e6 + 2.14471e7i −1.41373 + 4.04020i
\(49\) 1.19294e6 + 1.49590e6i 0.206935 + 0.259488i
\(50\) −1.73831e6 195861.i −0.278130 0.0313377i
\(51\) −2.03490e6 + 4.22551e6i −0.300789 + 0.624594i
\(52\) 3.64254e6 1.59590e7i 0.498185 2.18269i
\(53\) −1.91644e6 8.39647e6i −0.242880 1.06413i −0.938381 0.345602i \(-0.887675\pi\)
0.695501 0.718525i \(-0.255182\pi\)
\(54\) 9.03322e6 4.35017e6i 1.06235 0.511601i
\(55\) 5.63294e6 + 1.60980e7i 0.615580 + 1.75923i
\(56\) 1.94452e7 3.09469e7i 1.97725 3.14677i
\(57\) 1.34166e7i 1.27100i
\(58\) 7.01672e6 + 2.05402e7i 0.620044 + 1.81506i
\(59\) −1.05938e7 −0.874264 −0.437132 0.899397i \(-0.644006\pi\)
−0.437132 + 0.899397i \(0.644006\pi\)
\(60\) −3.85116e7 2.41984e7i −2.97157 1.86716i
\(61\) 1.66630e7 5.83062e6i 1.20346 0.421110i 0.347269 0.937765i \(-0.387109\pi\)
0.856193 + 0.516656i \(0.172823\pi\)
\(62\) 3.49706e6 + 7.26172e6i 0.236666 + 0.491442i
\(63\) 8.82085e6 2.01330e6i 0.559949 0.127805i
\(64\) −5.22320e7 1.19216e7i −3.11327 0.710584i
\(65\) 1.43881e7 + 6.92893e6i 0.806026 + 0.388162i
\(66\) −8.68259e6 + 7.70601e7i −0.457587 + 4.06119i
\(67\) −7.31557e6 + 5.83397e6i −0.363035 + 0.289511i −0.787971 0.615713i \(-0.788868\pi\)
0.424936 + 0.905224i \(0.360297\pi\)
\(68\) −3.06262e7 1.07166e7i −1.43238 0.501210i
\(69\) −1.83522e6 1.62880e7i −0.0809639 0.718574i
\(70\) 4.02300e7 + 4.02300e7i 1.67555 + 1.67555i
\(71\) −1.93567e7 1.54364e7i −0.761724 0.607454i 0.163646 0.986519i \(-0.447674\pi\)
−0.925370 + 0.379065i \(0.876246\pi\)
\(72\) −2.29137e7 3.64669e7i −0.852639 1.35697i
\(73\) −1.33793e7 + 8.40679e6i −0.471132 + 0.296032i −0.746594 0.665280i \(-0.768312\pi\)
0.275462 + 0.961312i \(0.411169\pi\)
\(74\) −4.64806e7 + 5.82848e7i −1.55005 + 1.94370i
\(75\) 3.99544e6 3.99544e6i 0.126276 0.126276i
\(76\) 9.22380e7 1.03927e7i 2.76475 0.311512i
\(77\) 2.33295e7 6.66718e7i 0.663655 1.89662i
\(78\) 4.52727e7 + 5.67702e7i 1.22309 + 1.53371i
\(79\) −1.81723e7 2.04753e6i −0.466554 0.0525680i −0.124441 0.992227i \(-0.539714\pi\)
−0.342113 + 0.939659i \(0.611142\pi\)
\(80\) 6.65408e7 1.38173e8i 1.62453 3.37337i
\(81\) −1.19734e7 + 5.24591e7i −0.278150 + 1.21865i
\(82\) −1.94272e7 8.51160e7i −0.429689 1.88259i
\(83\) 4.22464e7 2.03448e7i 0.890178 0.428687i 0.0678467 0.997696i \(-0.478387\pi\)
0.822332 + 0.569008i \(0.192673\pi\)
\(84\) 6.22157e7 + 1.77802e8i 1.24963 + 3.57125i
\(85\) 1.68412e7 2.68025e7i 0.322624 0.513452i
\(86\) 6.41229e7i 1.17225i
\(87\) −6.60028e7 2.36464e7i −1.15209 0.412751i
\(88\) −3.36236e8 −5.60677
\(89\) 1.01204e8 + 6.35910e7i 1.61302 + 1.01353i 0.968524 + 0.248919i \(0.0800754\pi\)
0.644496 + 0.764608i \(0.277067\pi\)
\(90\) 6.32799e7 2.21426e7i 0.964486 0.337488i
\(91\) −2.86970e7 5.95898e7i −0.418476 0.868974i
\(92\) 1.10557e8 2.52339e7i 1.54324 0.352235i
\(93\) −2.53814e7 5.79314e6i −0.339300 0.0774429i
\(94\) 7.63969e7 + 3.67908e7i 0.978508 + 0.471225i
\(95\) −1.01389e7 + 8.99849e7i −0.124479 + 1.10478i
\(96\) 2.83489e8 2.26075e8i 3.33773 2.66175i
\(97\) 9.20721e7 + 3.22174e7i 1.04002 + 0.363918i 0.795645 0.605763i \(-0.207132\pi\)
0.244373 + 0.969681i \(0.421418\pi\)
\(98\) −6.57429e6 5.83485e7i −0.0712762 0.632594i
\(99\) −5.88561e7 5.88561e7i −0.612704 0.612704i
\(100\) 3.05632e7 + 2.43733e7i 0.305632 + 0.243733i
\(101\) 2.83966e7 + 4.51929e7i 0.272886 + 0.434295i 0.954849 0.297091i \(-0.0960165\pi\)
−0.681963 + 0.731386i \(0.738874\pi\)
\(102\) 1.21868e8 7.65749e7i 1.12587 0.707434i
\(103\) −8.35085e6 + 1.04716e7i −0.0741962 + 0.0930391i −0.817544 0.575866i \(-0.804665\pi\)
0.743348 + 0.668905i \(0.233237\pi\)
\(104\) −2.22621e8 + 2.22621e8i −1.90298 + 1.90298i
\(105\) −1.82616e8 + 2.05759e7i −1.50239 + 0.169278i
\(106\) −8.72941e7 + 2.49472e8i −0.691451 + 1.97605i
\(107\) 7.21720e7 + 9.05009e7i 0.550597 + 0.690427i 0.976788 0.214206i \(-0.0687165\pi\)
−0.426191 + 0.904633i \(0.640145\pi\)
\(108\) −2.22645e8 2.50860e7i −1.63650 0.184390i
\(109\) 7.33549e7 1.52323e8i 0.519665 1.07909i −0.461717 0.887027i \(-0.652766\pi\)
0.981382 0.192068i \(-0.0615193\pi\)
\(110\) 1.16468e8 5.10278e8i 0.795489 3.48526i
\(111\) −5.35829e7 2.34762e8i −0.352967 1.54645i
\(112\) −5.72261e8 + 2.75586e8i −3.63682 + 1.75140i
\(113\) −1.63515e7 4.67298e7i −0.100287 0.286603i 0.882798 0.469752i \(-0.155657\pi\)
−0.983085 + 0.183149i \(0.941371\pi\)
\(114\) −2.19059e8 + 3.48631e8i −1.29701 + 2.06417i
\(115\) 1.10630e8i 0.632530i
\(116\) 1.11440e8 4.72079e8i 0.615472 2.60725i
\(117\) −7.79372e7 −0.415912
\(118\) 2.75279e8 + 1.72969e8i 1.41986 + 0.892155i
\(119\) −1.23743e8 + 4.32997e7i −0.617070 + 0.215922i
\(120\) 3.79552e8 + 7.88148e8i 1.83040 + 3.80087i
\(121\) −4.24543e8 + 9.68991e7i −1.98052 + 0.452041i
\(122\) −5.28185e8 1.20555e8i −2.38422 0.544183i
\(123\) 2.54075e8 + 1.22356e8i 1.11005 + 0.534570i
\(124\) 2.01664e7 1.78982e8i 0.0852986 0.757046i
\(125\) 1.74513e8 1.39169e8i 0.714805 0.570038i
\(126\) −2.62081e8 9.17062e7i −1.03981 0.363845i
\(127\) −1.13399e7 1.00644e8i −0.0435908 0.386879i −0.996498 0.0836169i \(-0.973353\pi\)
0.952907 0.303262i \(-0.0980758\pi\)
\(128\) 5.00448e8 + 5.00448e8i 1.86431 + 1.86431i
\(129\) −1.61935e8 1.29139e8i −0.584764 0.466334i
\(130\) −2.60741e8 4.14968e8i −0.912928 1.45292i
\(131\) 7.07820e7 4.44752e7i 0.240346 0.151020i −0.406473 0.913663i \(-0.633242\pi\)
0.646819 + 0.762643i \(0.276099\pi\)
\(132\) 1.08048e9 1.35488e9i 3.55894 4.46277i
\(133\) 2.65194e8 2.65194e8i 0.847534 0.847534i
\(134\) 2.85348e8 3.21510e7i 0.885026 0.0997184i
\(135\) 7.21925e7 2.06314e8i 0.217349 0.621147i
\(136\) 3.89092e8 + 4.87906e8i 1.13736 + 1.42620i
\(137\) −1.86241e8 2.09843e7i −0.528680 0.0595679i −0.156410 0.987692i \(-0.549992\pi\)
−0.372270 + 0.928124i \(0.621421\pi\)
\(138\) −2.18253e8 + 4.53207e8i −0.601789 + 1.24963i
\(139\) −9.04173e7 + 3.96144e8i −0.242210 + 1.06119i 0.696790 + 0.717275i \(0.254611\pi\)
−0.939000 + 0.343917i \(0.888246\pi\)
\(140\) −2.82914e8 1.23953e9i −0.736449 3.22659i
\(141\) −2.46768e8 + 1.18837e8i −0.624328 + 0.300660i
\(142\) 2.50945e8 + 7.17159e8i 0.617199 + 1.76385i
\(143\) −3.23720e8 + 5.15197e8i −0.774149 + 1.23205i
\(144\) 7.48457e8i 1.74067i
\(145\) 4.24809e8 + 2.08473e8i 0.960996 + 0.471605i
\(146\) 4.84922e8 1.06724
\(147\) 1.60592e8 + 1.00907e8i 0.343918 + 0.216098i
\(148\) 1.57246e9 5.50227e8i 3.27742 1.14682i
\(149\) 3.70239e8 + 7.68809e8i 0.751168 + 1.55982i 0.826680 + 0.562672i \(0.190227\pi\)
−0.0755121 + 0.997145i \(0.524059\pi\)
\(150\) −1.69057e8 + 3.85861e7i −0.333939 + 0.0762194i
\(151\) 1.91075e8 + 4.36116e7i 0.367533 + 0.0838870i 0.402299 0.915508i \(-0.368211\pi\)
−0.0347657 + 0.999395i \(0.511068\pi\)
\(152\) −1.60845e9 7.74590e8i −3.01324 1.45110i
\(153\) −1.72968e7 + 1.53514e8i −0.0315646 + 0.280144i
\(154\) −1.69479e9 + 1.35155e9i −3.01324 + 2.40298i
\(155\) 1.65854e8 + 5.80349e7i 0.287342 + 0.100545i
\(156\) −1.81680e8 1.61245e9i −0.306766 2.72263i
\(157\) −3.44280e8 3.44280e8i −0.566648 0.566648i 0.364540 0.931188i \(-0.381226\pi\)
−0.931188 + 0.364540i \(0.881226\pi\)
\(158\) 4.38775e8 + 3.49912e8i 0.704067 + 0.561475i
\(159\) −4.54208e8 7.22869e8i −0.710668 1.13102i
\(160\) −2.07219e9 + 1.30205e9i −3.16192 + 1.98676i
\(161\) 2.85675e8 3.58225e8i 0.425175 0.533153i
\(162\) 1.16765e9 1.16765e9i 1.69532 1.69532i
\(163\) 3.85862e8 4.34762e7i 0.546615 0.0615888i 0.165661 0.986183i \(-0.447024\pi\)
0.380954 + 0.924594i \(0.375596\pi\)
\(164\) −6.44374e8 + 1.84152e9i −0.890764 + 2.54566i
\(165\) 1.05409e9 + 1.32178e9i 1.42213 + 1.78330i
\(166\) −1.42995e9 1.61116e8i −1.88316 0.212181i
\(167\) −1.40555e8 + 2.91865e8i −0.180709 + 0.375246i −0.971571 0.236748i \(-0.923918\pi\)
0.790862 + 0.611995i \(0.209633\pi\)
\(168\) 8.06192e8 3.53216e9i 1.01205 4.43408i
\(169\) −5.47402e7 2.39832e8i −0.0671057 0.294009i
\(170\) −8.75232e8 + 4.21490e8i −1.04792 + 0.504651i
\(171\) −1.45963e8 4.17138e8i −0.170710 0.487860i
\(172\) 7.62377e8 1.21332e9i 0.871076 1.38631i
\(173\) 8.52851e8i 0.952114i −0.879414 0.476057i \(-0.842066\pi\)
0.879414 0.476057i \(-0.157934\pi\)
\(174\) 1.32899e9 + 1.69211e9i 1.44986 + 1.84599i
\(175\) 1.57948e8 0.168408
\(176\) 4.94760e9 + 3.10879e9i 5.15637 + 3.23996i
\(177\) −9.91201e8 + 3.46836e8i −1.00988 + 0.353372i
\(178\) −1.59151e9 3.30481e9i −1.58537 3.29206i
\(179\) −1.86024e8 + 4.24588e7i −0.181199 + 0.0413576i −0.312158 0.950030i \(-0.601052\pi\)
0.130958 + 0.991388i \(0.458195\pi\)
\(180\) −1.46063e9 3.33378e8i −1.39139 0.317576i
\(181\) 9.72994e8 + 4.68569e8i 0.906558 + 0.436575i 0.828253 0.560354i \(-0.189335\pi\)
0.0783050 + 0.996929i \(0.475049\pi\)
\(182\) −2.27260e8 + 2.01698e9i −0.207127 + 1.83830i
\(183\) 1.36817e9 1.09108e9i 1.21993 0.972862i
\(184\) −2.05864e9 7.20349e8i −1.79601 0.628451i
\(185\) 1.81970e8 + 1.61503e9i 0.155351 + 1.37878i
\(186\) 5.64947e8 + 5.64947e8i 0.472015 + 0.472015i
\(187\) 9.42943e8 + 7.51972e8i 0.771115 + 0.614944i
\(188\) −1.00814e9 1.60445e9i −0.807033 1.28439i
\(189\) −7.66519e8 + 4.81636e8i −0.600725 + 0.377461i
\(190\) 1.73268e9 2.17271e9i 1.32955 1.66720i
\(191\) −4.36923e8 + 4.36923e8i −0.328300 + 0.328300i −0.851940 0.523640i \(-0.824574\pi\)
0.523640 + 0.851940i \(0.324574\pi\)
\(192\) −5.27738e9 + 5.94617e8i −3.88341 + 0.437555i
\(193\) −1.37551e8 + 3.93098e8i −0.0991367 + 0.283316i −0.982761 0.184880i \(-0.940810\pi\)
0.883624 + 0.468196i \(0.155096\pi\)
\(194\) −1.86646e9 2.34047e9i −1.31769 1.65233i
\(195\) 1.57306e9 + 1.77242e8i 1.08795 + 0.122582i
\(196\) −5.69326e8 + 1.18222e9i −0.385777 + 0.801075i
\(197\) −4.78435e8 + 2.09616e9i −0.317657 + 1.39175i 0.523993 + 0.851722i \(0.324442\pi\)
−0.841650 + 0.540023i \(0.818415\pi\)
\(198\) 5.68404e8 + 2.49034e9i 0.369825 + 1.62031i
\(199\) 2.22232e9 1.07021e9i 1.41708 0.682429i 0.440533 0.897737i \(-0.354790\pi\)
0.976546 + 0.215307i \(0.0690753\pi\)
\(200\) −2.48322e8 7.09664e8i −0.155201 0.443540i
\(201\) −4.93475e8 + 7.85361e8i −0.302330 + 0.481155i
\(202\) 1.63798e9i 0.983791i
\(203\) −8.37219e8 1.77201e9i −0.493009 1.04348i
\(204\) −3.21638e9 −1.85715
\(205\) −1.61161e9 1.01264e9i −0.912522 0.573376i
\(206\) 3.87971e8 1.35757e8i 0.215442 0.0753864i
\(207\) −2.34260e8 4.86446e8i −0.127590 0.264943i
\(208\) 5.33413e9 1.21748e9i 2.84977 0.650442i
\(209\) −3.36372e9 7.67747e8i −1.76293 0.402377i
\(210\) 5.08122e9 + 2.44699e9i 2.61271 + 1.25821i
\(211\) −4.29613e7 + 3.81292e8i −0.0216744 + 0.192366i −0.999884 0.0152559i \(-0.995144\pi\)
0.978209 + 0.207622i \(0.0665723\pi\)
\(212\) 4.61781e9 3.68258e9i 2.28609 1.82309i
\(213\) −2.31648e9 8.10572e8i −1.12541 0.393798i
\(214\) −3.97740e8 3.53004e9i −0.189646 1.68316i
\(215\) 9.88500e8 + 9.88500e8i 0.462618 + 0.462618i
\(216\) 3.36910e9 + 2.68677e9i 1.54774 + 1.23428i
\(217\) −3.87182e8 6.16197e8i −0.174613 0.277895i
\(218\) −4.39316e9 + 2.76041e9i −1.94514 + 1.22221i
\(219\) −9.76595e8 + 1.22461e9i −0.424559 + 0.532380i
\(220\) −8.27061e9 + 8.27061e9i −3.53059 + 3.53059i
\(221\) 1.12220e9 1.26442e8i 0.470438 0.0530056i
\(222\) −2.44071e9 + 6.97515e9i −1.00486 + 2.87172i
\(223\) 1.88761e9 + 2.36699e9i 0.763296 + 0.957143i 0.999895 0.0144641i \(-0.00460422\pi\)
−0.236599 + 0.971607i \(0.576033\pi\)
\(224\) 1.00721e10 + 1.13485e9i 4.00062 + 0.450761i
\(225\) 8.07552e7 1.67690e8i 0.0315094 0.0654300i
\(226\) −3.38085e8 + 1.48125e9i −0.129596 + 0.567799i
\(227\) −7.70844e8 3.37729e9i −0.290311 1.27193i −0.884094 0.467309i \(-0.845224\pi\)
0.593784 0.804625i \(-0.297634\pi\)
\(228\) 8.28995e9 3.99223e9i 3.06770 1.47733i
\(229\) −8.47424e8 2.42180e9i −0.308148 0.880635i −0.988961 0.148178i \(-0.952659\pi\)
0.680813 0.732457i \(-0.261627\pi\)
\(230\) 1.80630e9 2.87471e9i 0.645474 1.02727i
\(231\) 7.00192e9i 2.45906i
\(232\) −6.64542e9 + 6.54754e9i −2.29388 + 2.26009i
\(233\) 1.05383e9 0.357559 0.178780 0.983889i \(-0.442785\pi\)
0.178780 + 0.983889i \(0.442785\pi\)
\(234\) 2.02519e9 + 1.27251e9i 0.675465 + 0.424423i
\(235\) 1.74487e9 6.10556e8i 0.572126 0.200195i
\(236\) −3.15226e9 6.54574e9i −1.01619 2.11014i
\(237\) −1.76732e9 + 4.03379e8i −0.560172 + 0.127856i
\(238\) 3.92244e9 + 8.95270e8i 1.22250 + 0.279027i
\(239\) −5.47404e9 2.63616e9i −1.67771 0.807941i −0.997166 0.0752301i \(-0.976031\pi\)
−0.680540 0.732711i \(-0.738255\pi\)
\(240\) 1.70211e9 1.51066e10i 0.513030 4.55327i
\(241\) −1.16279e9 + 9.27296e8i −0.344694 + 0.274885i −0.780499 0.625157i \(-0.785035\pi\)
0.435805 + 0.900041i \(0.356464\pi\)
\(242\) 1.26138e10 + 4.41377e9i 3.67778 + 1.28691i
\(243\) 3.57206e8 + 3.17029e9i 0.102446 + 0.909231i
\(244\) 8.56085e9 + 8.56085e9i 2.41522 + 2.41522i
\(245\) −1.00083e9 7.98135e8i −0.277777 0.221520i
\(246\) −4.60436e9 7.32780e9i −1.25727 2.00093i
\(247\) −2.73544e9 + 1.71879e9i −0.734920 + 0.461781i
\(248\) −2.15986e9 + 2.70838e9i −0.570979 + 0.715984i
\(249\) 3.28668e9 3.28668e9i 0.854988 0.854988i
\(250\) −6.80698e9 + 7.66963e8i −1.74259 + 0.196342i
\(251\) 7.08377e8 2.02442e9i 0.178472 0.510043i −0.819543 0.573017i \(-0.805773\pi\)
0.998015 + 0.0629742i \(0.0200586\pi\)
\(252\) 3.86870e9 + 4.85120e9i 0.959319 + 1.20295i
\(253\) −4.18863e9 4.71945e8i −1.02233 0.115188i
\(254\) −1.34860e9 + 2.80039e9i −0.324002 + 0.672797i
\(255\) 6.98229e8 3.05914e9i 0.165134 0.723500i
\(256\) −1.78115e9 7.80373e9i −0.414706 1.81695i
\(257\) 1.12922e9 5.43806e8i 0.258850 0.124655i −0.299959 0.953952i \(-0.596973\pi\)
0.558809 + 0.829297i \(0.311259\pi\)
\(258\) 2.09936e9 + 5.99963e9i 0.473815 + 1.35408i
\(259\) 3.58120e9 5.69944e9i 0.795846 1.26658i
\(260\) 1.09519e10i 2.39661i
\(261\) −2.30935e9 1.71319e7i −0.497655 0.00369184i
\(262\) −2.56543e9 −0.544446
\(263\) −7.83440e9 4.92268e9i −1.63750 1.02891i −0.954373 0.298617i \(-0.903475\pi\)
−0.683132 0.730295i \(-0.739382\pi\)
\(264\) −3.14597e10 + 1.10082e10i −6.47648 + 2.26622i
\(265\) 2.50009e9 + 5.19149e9i 0.506958 + 1.05271i
\(266\) −1.12210e10 + 2.56112e9i −2.24132 + 0.511567i
\(267\) 1.15511e10 + 2.63646e9i 2.27289 + 0.518772i
\(268\) −5.78153e9 2.78424e9i −1.12074 0.539718i
\(269\) −7.89968e7 + 7.01116e8i −0.0150869 + 0.133900i −0.998998 0.0447601i \(-0.985748\pi\)
0.983911 + 0.178660i \(0.0571762\pi\)
\(270\) −5.24450e9 + 4.18235e9i −0.986845 + 0.786983i
\(271\) 4.00371e9 + 1.40096e9i 0.742311 + 0.259746i 0.674828 0.737975i \(-0.264218\pi\)
0.0674824 + 0.997720i \(0.478503\pi\)
\(272\) −1.21426e9 1.07769e10i −0.221839 1.96887i
\(273\) −4.63597e9 4.63597e9i −0.834622 0.834622i
\(274\) 4.49684e9 + 3.58611e9i 0.797820 + 0.636240i
\(275\) −7.73075e8 1.23034e9i −0.135173 0.215127i
\(276\) 9.51804e9 5.98058e9i 1.64025 1.03064i
\(277\) −3.19110e9 + 4.00151e9i −0.542027 + 0.679681i −0.975122 0.221668i \(-0.928850\pi\)
0.433095 + 0.901348i \(0.357421\pi\)
\(278\) 8.81749e9 8.81749e9i 1.47627 1.47627i
\(279\) −8.52159e8 + 9.60153e7i −0.140638 + 0.0158461i
\(280\) −8.07633e9 + 2.30808e10i −1.31396 + 3.75508i
\(281\) 7.72546e9 + 9.68742e9i 1.23908 + 1.55376i 0.707407 + 0.706807i \(0.249865\pi\)
0.531673 + 0.846950i \(0.321564\pi\)
\(282\) 8.35256e9 + 9.41108e8i 1.32076 + 0.148814i
\(283\) 3.77058e8 7.82969e8i 0.0587845 0.122067i −0.869507 0.493921i \(-0.835563\pi\)
0.928291 + 0.371853i \(0.121278\pi\)
\(284\) 3.77822e9 1.65534e10i 0.580782 2.54457i
\(285\) 1.99744e9 + 8.75134e9i 0.302756 + 1.32646i
\(286\) 1.68237e10 8.10185e9i 2.51453 1.21093i
\(287\) 2.60356e9 + 7.44055e9i 0.383743 + 1.09667i
\(288\) 6.35446e9 1.01131e10i 0.923652 1.46998i
\(289\) 4.73728e9i 0.679107i
\(290\) −7.63480e9 1.23532e10i −1.07946 1.74658i
\(291\) 9.66947e9 1.34844
\(292\) −9.17556e9 5.76539e9i −1.26212 0.793043i
\(293\) −9.42350e9 + 3.29743e9i −1.27862 + 0.447409i −0.882293 0.470700i \(-0.844001\pi\)
−0.396328 + 0.918109i \(0.629716\pi\)
\(294\) −2.52543e9 5.24411e9i −0.338023 0.701911i
\(295\) 6.91005e9 1.57717e9i 0.912417 0.208253i
\(296\) −3.12379e10 7.12986e9i −4.06926 0.928782i
\(297\) 7.50342e9 + 3.61346e9i 0.964348 + 0.464405i
\(298\) 2.93203e9 2.60225e10i 0.371795 3.29977i
\(299\) −3.08576e9 + 2.46081e9i −0.386080 + 0.307889i
\(300\) 3.65760e9 + 1.27985e9i 0.451556 + 0.158006i
\(301\) −6.48249e8 5.75337e9i −0.0789725 0.700900i
\(302\) −4.25301e9 4.25301e9i −0.511291 0.511291i
\(303\) 4.13652e9 + 3.29876e9i 0.490754 + 0.391364i
\(304\) 1.65061e10 + 2.62694e10i 1.93264 + 3.07578i
\(305\) −1.00008e10 + 6.28390e9i −1.15567 + 0.726156i
\(306\) 2.95594e9 3.70663e9i 0.337139 0.422759i
\(307\) 4.75823e9 4.75823e9i 0.535664 0.535664i −0.386589 0.922252i \(-0.626347\pi\)
0.922252 + 0.386589i \(0.126347\pi\)
\(308\) 4.81374e10 5.42379e9i 5.34909 0.602698i
\(309\) −4.38506e8 + 1.25318e9i −0.0480996 + 0.137461i
\(310\) −3.36215e9 4.21600e9i −0.364058 0.456514i
\(311\) −8.66961e9 9.76831e8i −0.926740 0.104419i −0.364324 0.931272i \(-0.618700\pi\)
−0.562417 + 0.826854i \(0.690128\pi\)
\(312\) −1.35409e10 + 2.81180e10i −1.42899 + 2.96733i
\(313\) 1.22095e9 5.34935e9i 0.127210 0.557344i −0.870647 0.491909i \(-0.836299\pi\)
0.997857 0.0654352i \(-0.0208436\pi\)
\(314\) 3.32489e9 + 1.45673e10i 0.342026 + 1.49851i
\(315\) −5.45388e9 + 2.62645e9i −0.553941 + 0.266764i
\(316\) −4.14218e9 1.18377e10i −0.415413 1.18718i
\(317\) 8.00459e9 1.27392e10i 0.792688 1.26156i −0.168511 0.985700i \(-0.553896\pi\)
0.961199 0.275856i \(-0.0889613\pi\)
\(318\) 2.61997e10i 2.56206i
\(319\) −9.70536e9 + 1.51946e10i −0.937236 + 1.46733i
\(320\) 3.58445e10 3.41840
\(321\) 9.71571e9 + 6.10478e9i 0.915070 + 0.574977i
\(322\) −1.32721e10 + 4.64411e9i −1.23457 + 0.431996i
\(323\) 2.77844e9 + 5.76948e9i 0.255264 + 0.530062i
\(324\) −3.59765e10 + 8.21140e9i −3.26467 + 0.745139i
\(325\) −1.32646e9 3.02756e8i −0.118894 0.0271368i
\(326\) −1.07365e10 5.17041e9i −0.950584 0.457777i
\(327\) 1.87642e9 1.66536e10i 0.164111 1.45653i
\(328\) 2.93372e10 2.33957e10i 2.53468 2.02134i
\(329\) −7.22658e9 2.52869e9i −0.616807 0.215830i
\(330\) −5.80908e9 5.15570e10i −0.489837 4.34742i
\(331\) −1.81170e9 1.81170e9i −0.150929 0.150929i 0.627604 0.778533i \(-0.284036\pi\)
−0.778533 + 0.627604i \(0.784036\pi\)
\(332\) 2.51415e10 + 2.00497e10i 2.06937 + 1.65027i
\(333\) −4.21998e9 6.71606e9i −0.343189 0.546183i
\(334\) 8.41772e9 5.28920e9i 0.676408 0.425015i
\(335\) 3.90321e9 4.89447e9i 0.309915 0.388621i
\(336\) −4.45207e10 + 4.45207e10i −3.49305 + 3.49305i
\(337\) 9.75625e9 1.09927e9i 0.756421 0.0852282i 0.274673 0.961538i \(-0.411431\pi\)
0.481748 + 0.876310i \(0.340002\pi\)
\(338\) −2.49342e9 + 7.12580e9i −0.191042 + 0.545967i
\(339\) −3.05984e9 3.83691e9i −0.231686 0.290525i
\(340\) 2.15721e10 + 2.43059e9i 1.61427 + 0.181885i
\(341\) −2.90482e9 + 6.03193e9i −0.214834 + 0.446107i
\(342\) −3.01795e9 + 1.32225e10i −0.220601 + 0.966516i
\(343\) −2.37479e9 1.04046e10i −0.171573 0.751711i
\(344\) −2.48308e10 + 1.19579e10i −1.77320 + 0.853927i
\(345\) 3.62198e9 + 1.03510e10i 0.255664 + 0.730646i
\(346\) −1.39249e10 + 2.21613e10i −0.971597 + 1.54629i
\(347\) 2.78724e9i 0.192246i −0.995369 0.0961228i \(-0.969356\pi\)
0.995369 0.0961228i \(-0.0306442\pi\)
\(348\) −5.02889e9 4.78184e10i −0.342890 3.26045i
\(349\) −1.67223e10 −1.12718 −0.563591 0.826054i \(-0.690580\pi\)
−0.563591 + 0.826054i \(0.690580\pi\)
\(350\) −4.10428e9 2.57889e9i −0.273504 0.171854i
\(351\) 7.36048e9 2.57555e9i 0.484929 0.169684i
\(352\) −4.04576e10 8.40111e10i −2.63530 5.47225i
\(353\) 2.10075e9 4.79483e8i 0.135293 0.0308798i −0.154338 0.988018i \(-0.549324\pi\)
0.289631 + 0.957138i \(0.406467\pi\)
\(354\) 3.14192e10 + 7.17124e9i 2.00070 + 0.456647i
\(355\) 1.49240e10 + 7.18702e9i 0.939663 + 0.452518i
\(356\) −9.17775e9 + 8.14548e10i −0.571395 + 5.07127i
\(357\) −1.01604e10 + 8.10263e9i −0.625514 + 0.498831i
\(358\) 5.52706e9 + 1.93400e9i 0.336482 + 0.117740i
\(359\) 2.03393e9 + 1.80517e10i 0.122450 + 1.08677i 0.893207 + 0.449645i \(0.148450\pi\)
−0.770757 + 0.637129i \(0.780122\pi\)
\(360\) 2.03751e10 + 2.03751e10i 1.21308 + 1.21308i
\(361\) −1.04410e9 8.32639e8i −0.0614769 0.0490262i
\(362\) −1.76327e10 2.80622e10i −1.02679 1.63413i
\(363\) −3.65497e10 + 2.29657e10i −2.10502 + 1.32267i
\(364\) 2.82807e10 3.54629e10i 1.61096 2.02008i
\(365\) 7.47541e9 7.47541e9i 0.421176 0.421176i
\(366\) −5.33663e10 + 6.01293e9i −2.97401 + 0.335090i
\(367\) 3.64656e9 1.04213e10i 0.201011 0.574456i −0.798614 0.601844i \(-0.794433\pi\)
0.999625 + 0.0273875i \(0.00871880\pi\)
\(368\) 2.36320e10 + 2.96336e10i 1.28857 + 1.61582i
\(369\) 9.23059e9 + 1.04004e9i 0.497879 + 0.0560975i
\(370\) 2.16408e10 4.49376e10i 1.15469 2.39775i
\(371\) 5.31035e9 2.32662e10i 0.280303 1.22809i
\(372\) −3.97294e9 1.74066e10i −0.207463 0.908954i
\(373\) 2.83402e9 1.36479e9i 0.146409 0.0705069i −0.359245 0.933243i \(-0.616966\pi\)
0.505654 + 0.862737i \(0.331251\pi\)
\(374\) −1.22246e10 3.49358e10i −0.624808 1.78560i
\(375\) 1.17719e10 1.87348e10i 0.595278 0.947380i
\(376\) 3.64446e10i 1.82340i
\(377\) 3.63442e9 + 1.64863e10i 0.179916 + 0.816125i
\(378\) 2.77818e10 1.36080
\(379\) −1.28303e10 8.06182e9i −0.621842 0.390729i 0.183943 0.982937i \(-0.441114\pi\)
−0.805786 + 0.592207i \(0.798257\pi\)
\(380\) −5.86173e10 + 2.05111e10i −2.81120 + 0.983680i
\(381\) −4.35608e9 9.04549e9i −0.206726 0.429272i
\(382\) 1.84872e10 4.21959e9i 0.868197 0.198160i
\(383\) 1.22761e10 + 2.80193e9i 0.570512 + 0.130216i 0.498039 0.867155i \(-0.334054\pi\)
0.0724730 + 0.997370i \(0.476911\pi\)
\(384\) 6.32087e10 + 3.04397e10i 2.90705 + 1.39996i
\(385\) −5.29130e9 + 4.69616e10i −0.240835 + 2.13747i
\(386\) 9.99253e9 7.96878e9i 0.450118 0.358957i
\(387\) −6.43965e9 2.25333e9i −0.287090 0.100457i
\(388\) 7.49011e9 + 6.64766e10i 0.330492 + 2.93320i
\(389\) −5.35554e9 5.35554e9i −0.233886 0.233886i 0.580426 0.814313i \(-0.302886\pi\)
−0.814313 + 0.580426i \(0.802886\pi\)
\(390\) −3.79820e10 3.02897e10i −1.64180 1.30929i
\(391\) 4.16225e9 + 6.62419e9i 0.178083 + 0.283417i
\(392\) 2.13687e10 1.34269e10i 0.904970 0.568630i
\(393\) 5.16658e9 6.47868e9i 0.216587 0.271592i
\(394\) 4.66570e10 4.66570e10i 1.93612 1.93612i
\(395\) 1.21582e10 1.36990e9i 0.499436 0.0562729i
\(396\) 1.88532e10 5.38794e10i 0.766664 2.19100i
\(397\) −3.57667e9 4.48500e9i −0.143985 0.180551i 0.704610 0.709595i \(-0.251122\pi\)
−0.848594 + 0.529044i \(0.822551\pi\)
\(398\) −7.52206e10 8.47533e9i −2.99781 0.337772i
\(399\) 1.61304e10 3.34951e10i 0.636434 1.32157i
\(400\) −2.90747e9 + 1.27384e10i −0.113573 + 0.497595i
\(401\) −6.18390e7 2.70934e8i −0.00239158 0.0104782i 0.973718 0.227757i \(-0.0731391\pi\)
−0.976110 + 0.217279i \(0.930282\pi\)
\(402\) 2.56458e10 1.23504e10i 0.982003 0.472908i
\(403\) 2.07045e9 + 5.91702e9i 0.0784956 + 0.224328i
\(404\) −1.94744e10 + 3.09934e10i −0.731037 + 1.16344i
\(405\) 3.60003e10i 1.33809i
\(406\) −7.17728e9 + 5.97152e10i −0.264153 + 2.19776i
\(407\) −6.19240e10 −2.25674
\(408\) 5.23791e10 + 3.29120e10i 1.89024 + 1.18772i
\(409\) 6.02136e9 2.10697e9i 0.215180 0.0752947i −0.220536 0.975379i \(-0.570781\pi\)
0.435716 + 0.900084i \(0.356495\pi\)
\(410\) 2.53437e10 + 5.26267e10i 0.896880 + 1.86239i
\(411\) −1.81126e10 + 4.13407e9i −0.634764 + 0.144881i
\(412\) −8.95513e9 2.04395e9i −0.310801 0.0709384i
\(413\) −2.64477e10 1.27365e10i −0.909050 0.437776i
\(414\) −1.85517e9 + 1.64651e10i −0.0631514 + 0.560484i
\(415\) −2.45274e10 + 1.95599e10i −0.826910 + 0.659439i
\(416\) −8.24107e10 2.88368e10i −2.75176 0.962882i
\(417\) 4.50976e9 + 4.00252e10i 0.149145 + 1.32370i
\(418\) 7.48707e10 + 7.48707e10i 2.45249 + 2.45249i
\(419\) −8.79944e9 7.01732e9i −0.285495 0.227675i 0.470262 0.882527i \(-0.344160\pi\)
−0.755757 + 0.654852i \(0.772731\pi\)
\(420\) −6.70524e10 1.06713e11i −2.15485 3.42943i
\(421\) 9.89266e9 6.21597e9i 0.314909 0.197870i −0.365298 0.930891i \(-0.619033\pi\)
0.680207 + 0.733020i \(0.261890\pi\)
\(422\) 7.34186e9 9.20640e9i 0.231503 0.290295i
\(423\) −6.37943e9 + 6.37943e9i −0.199260 + 0.199260i
\(424\) −1.12884e11 + 1.27190e10i −3.49276 + 0.393540i
\(425\) −8.90726e8 + 2.54555e9i −0.0273016 + 0.0780236i
\(426\) 4.69591e10 + 5.88848e10i 1.42587 + 1.78799i
\(427\) 4.86096e10 + 5.47698e9i 1.46221 + 0.164752i
\(428\) −3.44438e10 + 7.15233e10i −1.02645 + 2.13144i
\(429\) −1.34213e10 + 5.88026e10i −0.396247 + 1.73607i
\(430\) −9.54646e9 4.18258e10i −0.279234 1.22340i
\(431\) 1.74026e10 8.38066e9i 0.504320 0.242867i −0.164384 0.986396i \(-0.552564\pi\)
0.668704 + 0.743529i \(0.266849\pi\)
\(432\) −2.47338e10 7.06852e10i −0.710160 2.02952i
\(433\) 3.36180e10 5.35028e10i 0.956359 1.52204i 0.106974 0.994262i \(-0.465884\pi\)
0.849385 0.527774i \(-0.176973\pi\)
\(434\) 2.23335e10i 0.629504i
\(435\) 4.65724e10 + 5.59762e9i 1.30068 + 0.156331i
\(436\) 1.15946e11 3.20854
\(437\) −1.89499e10 1.19070e10i −0.519615 0.326496i
\(438\) 4.53715e10 1.58762e10i 1.23278 0.431369i
\(439\) 1.67800e10 + 3.48440e10i 0.451787 + 0.938146i 0.995124 + 0.0986312i \(0.0314464\pi\)
−0.543337 + 0.839515i \(0.682839\pi\)
\(440\) 2.19318e11 5.00579e10i 5.85145 1.33555i
\(441\) 6.09077e9 + 1.39018e9i 0.161034 + 0.0367550i
\(442\) −3.12248e10 1.50371e10i −0.818109 0.393980i
\(443\) −1.01664e9 + 9.02297e9i −0.0263970 + 0.234280i 0.973585 + 0.228324i \(0.0733244\pi\)
−0.999982 + 0.00595602i \(0.998104\pi\)
\(444\) 1.29112e11 1.02963e11i 3.32227 2.64942i
\(445\) −7.54804e10 2.64117e10i −1.92484 0.673530i
\(446\) −1.04026e10 9.23259e10i −0.262908 2.33337i
\(447\) 5.98118e10 + 5.98118e10i 1.49815 + 1.49815i
\(448\) −1.16066e11 9.25596e10i −2.88133 2.29779i
\(449\) 4.18120e9 + 6.65435e9i 0.102876 + 0.163727i 0.894196 0.447676i \(-0.147748\pi\)
−0.791319 + 0.611403i \(0.790605\pi\)
\(450\) −4.83636e9 + 3.03889e9i −0.117942 + 0.0741079i
\(451\) 4.52152e10 5.66981e10i 1.09290 1.37045i
\(452\) 2.40082e10 2.40082e10i 0.575182 0.575182i
\(453\) 1.93057e10 2.17523e9i 0.458450 0.0516549i
\(454\) −3.51120e10 + 1.00344e11i −0.826481 + 2.36195i
\(455\) 2.75899e10 + 3.45966e10i 0.643731 + 0.807213i
\(456\) −1.75854e11 1.98140e10i −4.06717 0.458260i
\(457\) 1.45440e10 3.02010e10i 0.333441 0.692398i −0.665079 0.746773i \(-0.731602\pi\)
0.998521 + 0.0543745i \(0.0173165\pi\)
\(458\) −1.75215e10 + 7.67665e10i −0.398206 + 1.74466i
\(459\) −3.43954e9 1.50696e10i −0.0774907 0.339509i
\(460\) −6.83566e10 + 3.29188e10i −1.52668 + 0.735212i
\(461\) 1.22166e10 + 3.49131e10i 0.270487 + 0.773008i 0.996365 + 0.0851846i \(0.0271480\pi\)
−0.725878 + 0.687824i \(0.758566\pi\)
\(462\) −1.14323e11 + 1.81944e11i −2.50938 + 3.99366i
\(463\) 5.00789e10i 1.08976i −0.838514 0.544880i \(-0.816575\pi\)
0.838514 0.544880i \(-0.183425\pi\)
\(464\) 1.58323e11 3.49026e10i 3.41564 0.752983i
\(465\) 1.74181e10 0.372554
\(466\) −2.73838e10 1.72064e10i −0.580697 0.364876i
\(467\) −1.83459e10 + 6.41952e9i −0.385720 + 0.134969i −0.516171 0.856485i \(-0.672643\pi\)
0.130451 + 0.991455i \(0.458358\pi\)
\(468\) −2.31908e10 4.81563e10i −0.483429 1.00385i
\(469\) −2.52775e10 + 5.76944e9i −0.522449 + 0.119245i
\(470\) −5.53091e10 1.26239e10i −1.13346 0.258704i
\(471\) −4.34840e10 2.09408e10i −0.883581 0.425510i
\(472\) −1.56451e10 + 1.38854e11i −0.315217 + 2.79763i
\(473\) −4.16431e10 + 3.32093e10i −0.831953 + 0.663460i
\(474\) 5.25098e10 + 1.83740e10i 1.04022 + 0.363990i
\(475\) −8.63811e8 7.66653e9i −0.0169685 0.150600i
\(476\) −6.35751e10 6.35751e10i −1.23839 1.23839i
\(477\) −2.19861e10 1.75333e10i −0.424692 0.338681i
\(478\) 9.92008e10 + 1.57877e11i 1.90022 + 3.02418i
\(479\) 4.70300e10 2.95509e10i 0.893373 0.561344i −0.00528853 0.999986i \(-0.501683\pi\)
0.898662 + 0.438642i \(0.144541\pi\)
\(480\) −1.51255e11 + 1.89668e11i −2.84935 + 3.57297i
\(481\) −4.09999e10 + 4.09999e10i −0.765953 + 0.765953i
\(482\) 4.53554e10 5.11033e9i 0.840313 0.0946806i
\(483\) 1.50009e10 4.28700e10i 0.275631 0.787707i
\(484\) −1.86199e11 2.33486e11i −3.39309 4.25480i
\(485\) −6.48527e10 7.30715e9i −1.17209 0.132063i
\(486\) 4.24807e10 8.82121e10i 0.761459 1.58119i
\(487\) 2.09707e10 9.18788e10i 0.372819 1.63343i −0.346005 0.938233i \(-0.612462\pi\)
0.718824 0.695193i \(-0.244681\pi\)
\(488\) −5.18145e10 2.27014e11i −0.913634 4.00289i
\(489\) 3.46796e10 1.67008e10i 0.606511 0.292080i
\(490\) 1.29750e10 + 3.70805e10i 0.225073 + 0.643222i
\(491\) −2.52384e10 + 4.01666e10i −0.434245 + 0.691097i −0.990128 0.140163i \(-0.955237\pi\)
0.555883 + 0.831260i \(0.312380\pi\)
\(492\) 1.93397e11i 3.30057i
\(493\) 3.32797e10 3.49991e9i 0.563368 0.0592474i
\(494\) 9.91438e10 1.66478
\(495\) 4.71527e10 + 2.96280e10i 0.785390 + 0.493494i
\(496\) 5.68231e10 1.98833e10i 0.938854 0.328519i
\(497\) −2.97659e10 6.18095e10i −0.487858 1.01305i
\(498\) −1.39067e11 + 3.17412e10i −2.26103 + 0.516066i
\(499\) −3.16402e10 7.22167e9i −0.510314 0.116476i −0.0403922 0.999184i \(-0.512861\pi\)
−0.469922 + 0.882708i \(0.655718\pi\)
\(500\) 1.37918e11 + 6.64180e10i 2.20670 + 1.06269i
\(501\) −3.59539e9 + 3.19100e10i −0.0570683 + 0.506495i
\(502\) −5.14607e10 + 4.10386e10i −0.810329 + 0.646216i
\(503\) 1.96783e10 + 6.88572e9i 0.307408 + 0.107567i 0.479574 0.877501i \(-0.340791\pi\)
−0.172167 + 0.985068i \(0.555077\pi\)
\(504\) −1.33618e10 1.18589e11i −0.207082 1.83791i
\(505\) −2.52506e10 2.52506e10i −0.388245 0.388245i
\(506\) 1.01136e11 + 8.06529e10i 1.54277 + 1.23032i
\(507\) −1.29738e10 2.06476e10i −0.196352 0.312492i
\(508\) 5.88125e10 3.69543e10i 0.883110 0.554895i
\(509\) −6.38058e9 + 8.00100e9i −0.0950581 + 0.119199i −0.827086 0.562076i \(-0.810003\pi\)
0.732027 + 0.681275i \(0.238574\pi\)
\(510\) −6.80913e10 + 6.80913e10i −1.00649 + 1.00649i
\(511\) −4.35091e10 + 4.90230e9i −0.638112 + 0.0718980i
\(512\) −2.12912e10 + 6.08468e10i −0.309828 + 0.885437i
\(513\) 2.75698e10 + 3.45714e10i 0.398074 + 0.499170i
\(514\) −3.82218e10 4.30656e9i −0.547593 0.0616989i
\(515\) 3.88806e9 8.07363e9i 0.0552718 0.114773i
\(516\) 3.16079e10 1.38483e11i 0.445858 1.95343i
\(517\) 1.56731e10 + 6.86682e10i 0.219377 + 0.961155i
\(518\) −1.86114e11 + 8.96279e10i −2.58500 + 1.24487i
\(519\) −2.79220e10 7.97966e10i −0.384838 1.09980i
\(520\) 1.12067e11 1.78354e11i 1.53273 2.43932i
\(521\) 6.84661e10i 0.929234i −0.885512 0.464617i \(-0.846192\pi\)
0.885512 0.464617i \(-0.153808\pi\)
\(522\) 5.97286e10 + 3.81509e10i 0.804453 + 0.513834i
\(523\) −1.43102e11 −1.91266 −0.956329 0.292291i \(-0.905582\pi\)
−0.956329 + 0.292291i \(0.905582\pi\)
\(524\) 4.85423e10 + 3.05012e10i 0.643866 + 0.404568i
\(525\) 1.47784e10 5.17117e9i 0.194531 0.0680694i
\(526\) 1.23202e11 + 2.55831e11i 1.60944 + 3.34203i
\(527\) 1.21143e10 2.76501e9i 0.157057 0.0358471i
\(528\) 5.64701e11 + 1.28889e11i 7.26579 + 1.65837i
\(529\) 4.59215e10 + 2.21146e10i 0.586400 + 0.282395i
\(530\) 1.97990e10 1.75721e11i 0.250922 2.22699i
\(531\) −2.70442e10 + 2.15670e10i −0.340170 + 0.271276i
\(532\) 2.42770e11 + 8.49489e10i 3.03074 + 1.06050i
\(533\) −7.60281e9 6.74768e10i −0.0942031 0.836075i
\(534\) −2.57108e11 2.57108e11i −3.16191 3.16191i
\(535\) −6.05495e10 4.82866e10i −0.739087 0.589402i
\(536\) 6.56629e10 + 1.04502e11i 0.795537 + 1.26609i
\(537\) −1.60152e10 + 1.00630e10i −0.192590 + 0.121012i
\(538\) 1.35001e10 1.69286e10i 0.161142 0.202066i
\(539\) 3.44882e10 3.44882e10i 0.408616 0.408616i
\(540\) 1.48960e11 1.67838e10i 1.75184 0.197385i
\(541\) 2.39054e10 6.83177e10i 0.279066 0.797524i −0.715981 0.698119i \(-0.754020\pi\)
0.995047 0.0994048i \(-0.0316939\pi\)
\(542\) −8.11622e10 1.01774e11i −0.940495 1.17934i
\(543\) 1.06378e11 + 1.19860e10i 1.22364 + 0.137871i
\(544\) −7.50896e10 + 1.55925e11i −0.857402 + 1.78041i
\(545\) −2.51701e10 + 1.10277e11i −0.285298 + 1.24997i
\(546\) 4.47719e10 + 1.96159e11i 0.503773 + 2.20718i
\(547\) −1.25797e11 + 6.05807e10i −1.40515 + 0.676682i −0.974198 0.225695i \(-0.927535\pi\)
−0.430947 + 0.902377i \(0.641821\pi\)
\(548\) −4.24516e10 1.21320e11i −0.470730 1.34527i
\(549\) 3.06677e10 4.88074e10i 0.337592 0.537275i
\(550\) 4.45926e10i 0.487318i
\(551\) −8.14316e10 + 5.03281e10i −0.883459 + 0.546015i
\(552\) −2.16199e11 −2.32862
\(553\) −4.29061e10 2.69597e10i −0.458795 0.288280i
\(554\) 1.48255e11 5.18766e10i 1.57387 0.550722i
\(555\) 6.99016e10 + 1.45152e11i 0.736741 + 1.52986i
\(556\) −2.71676e11 + 6.20083e10i −2.84284 + 0.648859i
\(557\) 1.07021e10 + 2.44268e9i 0.111185 + 0.0253773i 0.277752 0.960653i \(-0.410411\pi\)
−0.166566 + 0.986030i \(0.553268\pi\)
\(558\) 2.37110e10 + 1.14186e10i 0.244575 + 0.117781i
\(559\) −5.58404e9 + 4.95597e10i −0.0571875 + 0.507554i
\(560\) 3.32243e11 2.64955e11i 3.37834 2.69414i
\(561\) 1.12845e11 + 3.94863e10i 1.13928 + 0.398653i
\(562\) −4.25750e10 3.77864e11i −0.426786 3.78783i
\(563\) 7.42542e9 + 7.42542e9i 0.0739073 + 0.0739073i 0.743094 0.669187i \(-0.233357\pi\)
−0.669187 + 0.743094i \(0.733357\pi\)
\(564\) −1.46856e11 1.17114e11i −1.45136 1.15742i
\(565\) 1.76227e10 + 2.80463e10i 0.172933 + 0.275221i
\(566\) −2.25817e10 + 1.41890e10i −0.220035 + 0.138257i
\(567\) −9.29620e10 + 1.16571e11i −0.899442 + 1.12786i
\(568\) −2.30914e11 + 2.30914e11i −2.21849 + 2.21849i
\(569\) 2.04517e11 2.30436e10i 1.95111 0.219837i 0.954246 0.299024i \(-0.0966610\pi\)
0.996860 + 0.0791871i \(0.0252324\pi\)
\(570\) 9.09835e10 2.60016e11i 0.861912 2.46320i
\(571\) −4.45585e10 5.58745e10i −0.419166 0.525617i 0.526754 0.850018i \(-0.323409\pi\)
−0.945920 + 0.324401i \(0.894837\pi\)
\(572\) −4.14658e11 4.67207e10i −3.87352 0.436441i
\(573\) −2.65758e10 + 5.51852e10i −0.246529 + 0.511922i
\(574\) 5.38316e10 2.35852e11i 0.495895 2.17266i
\(575\) −2.09736e9 9.18913e9i −0.0191867 0.0840626i
\(576\) −1.57610e11 + 7.59011e10i −1.43184 + 0.689538i
\(577\) −2.94046e9 8.40335e9i −0.0265285 0.0758140i 0.929858 0.367920i \(-0.119930\pi\)
−0.956386 + 0.292106i \(0.905644\pi\)
\(578\) 7.73476e10 1.23098e11i 0.693004 1.10291i
\(579\) 4.12834e10i 0.367334i
\(580\) −2.40742e9 + 3.24516e11i −0.0212735 + 2.86764i
\(581\) 1.29929e11 1.14026
\(582\) −2.51260e11 1.57877e11i −2.18994 1.37603i
\(583\) −2.07224e11 + 7.25107e10i −1.79376 + 0.627665i
\(584\) 9.04301e10 + 1.87780e11i 0.777430 + 1.61435i
\(585\) 5.08365e10 1.16031e10i 0.434062 0.0990718i
\(586\) 2.98708e11 + 6.81780e10i 2.53312 + 0.578168i
\(587\) 5.37991e10 + 2.59083e10i 0.453130 + 0.218216i 0.646506 0.762909i \(-0.276230\pi\)
−0.193376 + 0.981125i \(0.561944\pi\)
\(588\) −1.45633e10 + 1.29253e11i −0.121829 + 1.08126i
\(589\) −2.77916e10 + 2.21631e10i −0.230915 + 0.184149i
\(590\) −2.05308e11 7.18405e10i −1.69433 0.592873i
\(591\) 2.38630e10 + 2.11790e11i 0.195603 + 1.73602i
\(592\) 3.93735e11 + 3.93735e11i 3.20566 + 3.20566i
\(593\) −1.42508e11 1.13646e11i −1.15245 0.919045i −0.154822 0.987942i \(-0.549480\pi\)
−0.997624 + 0.0688975i \(0.978052\pi\)
\(594\) −1.35978e11 2.16407e11i −1.09225 1.73830i
\(595\) 7.42683e10 4.66659e10i 0.592565 0.372333i
\(596\) −3.64869e11 + 4.57531e11i −2.89169 + 3.62606i
\(597\) 1.72892e11 1.72892e11i 1.36106 1.36106i
\(598\) 1.20362e11 1.35615e10i 0.941206 0.106048i
\(599\) −6.31240e10 + 1.80398e11i −0.490328 + 1.40128i 0.387308 + 0.921950i \(0.373405\pi\)
−0.877636 + 0.479327i \(0.840881\pi\)
\(600\) −4.64683e10 5.82694e10i −0.358552 0.449609i
\(601\) 1.27799e11 + 1.43995e10i 0.979559 + 0.110370i 0.587199 0.809442i \(-0.300230\pi\)
0.392359 + 0.919812i \(0.371659\pi\)
\(602\) −7.70929e10 + 1.60085e11i −0.586987 + 1.21889i
\(603\) −6.79854e9 + 2.97864e10i −0.0514217 + 0.225293i
\(604\) 2.99089e10 + 1.31040e11i 0.224726 + 0.984588i
\(605\) 2.62492e11 1.26410e11i 1.95927 0.943536i
\(606\) −5.36268e10 1.53257e11i −0.397641 1.13639i
\(607\) −8.84855e10 + 1.40824e11i −0.651805 + 1.03734i 0.343368 + 0.939201i \(0.388432\pi\)
−0.995173 + 0.0981402i \(0.968711\pi\)
\(608\) 4.95087e11i 3.62299i
\(609\) −1.36349e11 1.38387e11i −0.991249 1.00607i
\(610\) 3.62469e11 2.61789
\(611\) 5.58423e10 + 3.50880e10i 0.400681 + 0.251764i
\(612\) −1.00001e11 + 3.49917e10i −0.712848 + 0.249436i
\(613\) −9.09385e10 1.88836e11i −0.644030 1.33734i −0.925856 0.377876i \(-0.876654\pi\)
0.281826 0.959466i \(-0.409060\pi\)
\(614\) −2.01332e11 + 4.59527e10i −1.41657 + 0.323324i
\(615\) −1.83943e11 4.19837e10i −1.28582 0.293481i
\(616\) −8.39423e11 4.04245e11i −5.82986 2.80751i
\(617\) 2.61656e10 2.32226e11i 0.180547 1.60240i −0.497555 0.867433i \(-0.665769\pi\)
0.678102 0.734968i \(-0.262803\pi\)
\(618\) 3.18557e10 2.54041e10i 0.218390 0.174160i
\(619\) 1.03749e11 + 3.63035e10i 0.706681 + 0.247278i 0.659604 0.751613i \(-0.270724\pi\)
0.0470764 + 0.998891i \(0.485010\pi\)
\(620\) 1.34923e10 + 1.19748e11i 0.0913103 + 0.810401i
\(621\) 3.81991e10 + 3.81991e10i 0.256854 + 0.256854i
\(622\) 2.09330e11 + 1.66935e11i 1.39853 + 1.11529i
\(623\) 1.76207e11 + 2.80432e11i 1.16969 + 1.86155i
\(624\) 4.59226e11 2.88551e11i 3.02892 1.90320i
\(625\) −1.06994e11 + 1.34166e11i −0.701196 + 0.879271i
\(626\) −1.19067e11 + 1.19067e11i −0.775346 + 0.775346i
\(627\) −3.39861e11 + 3.82931e10i −2.19903 + 0.247771i
\(628\) 1.10282e11 3.15169e11i 0.709035 2.02631i
\(629\) 7.16585e10 + 8.98570e10i 0.457789 + 0.574049i
\(630\) 1.84602e11 + 2.07996e10i 1.17185 + 0.132036i
\(631\) 1.18480e11 2.46026e11i 0.747356 1.55190i −0.0841933 0.996449i \(-0.526831\pi\)
0.831549 0.555451i \(-0.187454\pi\)
\(632\) −5.36744e10 + 2.35163e11i −0.336433 + 1.47401i
\(633\) 8.46371e9 + 3.70819e10i 0.0527164 + 0.230966i
\(634\) −4.15998e11 + 2.00334e11i −2.57474 + 1.23993i
\(635\) 2.23804e10 + 6.39596e10i 0.137649 + 0.393379i
\(636\) 3.11497e11 4.95744e11i 1.90382 3.02991i
\(637\) 4.56693e10i 0.277374i
\(638\) 5.00282e11 2.36367e11i 3.01948 1.42661i
\(639\) −8.08403e10 −0.484869
\(640\) −4.00935e11 2.51924e11i −2.38976 1.50159i
\(641\) 3.08998e11 1.08123e11i 1.83030 0.640451i 0.834281 0.551339i \(-0.185883\pi\)
0.996022 0.0891120i \(-0.0284029\pi\)
\(642\) −1.52787e11 3.17265e11i −0.899384 1.86759i
\(643\) 3.02645e11 6.90766e10i 1.77047 0.404099i 0.792007 0.610513i \(-0.209037\pi\)
0.978465 + 0.206414i \(0.0661794\pi\)
\(644\) 3.06347e11 + 6.99216e10i 1.78102 + 0.406507i
\(645\) 1.24852e11 + 6.01254e10i 0.721366 + 0.347391i
\(646\) 2.20033e10 1.95284e11i 0.126345 1.12134i
\(647\) 4.53325e10 3.61515e10i 0.258698 0.206305i −0.485549 0.874210i \(-0.661380\pi\)
0.744247 + 0.667905i \(0.232809\pi\)
\(648\) 6.69906e11 + 2.34410e11i 3.79939 + 1.32946i
\(649\) 3.02362e10 + 2.68354e11i 0.170431 + 1.51262i
\(650\) 2.95248e10 + 2.95248e10i 0.165399 + 0.165399i
\(651\) −5.64006e10 4.49780e10i −0.314022 0.250424i
\(652\) 1.41680e11 + 2.25482e11i 0.784002 + 1.24773i
\(653\) −6.90844e10 + 4.34086e10i −0.379951 + 0.238739i −0.708443 0.705768i \(-0.750602\pi\)
0.328493 + 0.944507i \(0.393459\pi\)
\(654\) −3.20669e11 + 4.02107e11i −1.75286 + 2.19801i
\(655\) −3.95479e10 + 3.95479e10i −0.214861 + 0.214861i
\(656\) −6.48002e11 + 7.30123e10i −3.49914 + 0.394258i
\(657\) −1.70405e10 + 4.86991e10i −0.0914581 + 0.261372i
\(658\) 1.46495e11 + 1.83699e11i 0.781483 + 0.979949i
\(659\) 2.23154e10 + 2.51434e9i 0.118321 + 0.0133316i 0.170927 0.985284i \(-0.445324\pi\)
−0.0526051 + 0.998615i \(0.516752\pi\)
\(660\) −5.03059e11 + 1.04461e12i −2.65120 + 5.50528i
\(661\) 9.50290e9 4.16349e10i 0.0497795 0.218098i −0.943920 0.330174i \(-0.892893\pi\)
0.993700 + 0.112076i \(0.0357499\pi\)
\(662\) 1.74965e10 + 7.66572e10i 0.0911002 + 0.399136i
\(663\) 1.00859e11 4.85710e10i 0.521987 0.251375i
\(664\) −2.04272e11 5.83775e11i −1.05084 3.00312i
\(665\) −1.33498e11 + 2.12461e11i −0.682634 + 1.08641i
\(666\) 2.43418e11i 1.23724i
\(667\) −9.19749e10 + 7.22379e10i −0.464693 + 0.364974i
\(668\) −2.22163e11 −1.11575
\(669\) 2.54108e11 + 1.59667e11i 1.26857 + 0.797094i
\(670\) −1.81339e11 + 6.34532e10i −0.899894 + 0.314887i
\(671\) −1.95256e11 4.05452e11i −0.963193 2.00009i
\(672\) 9.79543e11 2.23574e11i 4.80338 1.09634i
\(673\) −2.43550e11 5.55887e10i −1.18721 0.270973i −0.417086 0.908867i \(-0.636949\pi\)
−0.770124 + 0.637894i \(0.779806\pi\)
\(674\) −2.71464e11 1.30730e11i −1.31544 0.633484i
\(675\) −2.08507e9 + 1.85055e10i −0.0100440 + 0.0891428i
\(676\) 1.31901e11 1.05187e11i 0.631626 0.503705i
\(677\) −1.02906e11 3.60083e10i −0.489875 0.171415i 0.0740273 0.997256i \(-0.476415\pi\)
−0.563902 + 0.825842i \(0.690701\pi\)
\(678\) 1.68628e10 + 1.49661e11i 0.0798013 + 0.708256i
\(679\) 1.91127e11 + 1.91127e11i 0.899173 + 0.899173i
\(680\) −3.26433e11 2.60322e11i −1.52672 1.21752i
\(681\) −1.82695e11 2.90757e11i −0.849450 1.35189i
\(682\) 1.73967e11 1.09311e11i 0.804138 0.505273i
\(683\) −1.91531e11 + 2.40173e11i −0.880150 + 1.10367i 0.113763 + 0.993508i \(0.463709\pi\)
−0.993913 + 0.110165i \(0.964862\pi\)
\(684\) 2.14311e11 2.14311e11i 0.979084 0.979084i
\(685\) 1.24604e11 1.40395e10i 0.565941 0.0637662i
\(686\) −1.08172e11 + 3.09138e11i −0.488449 + 1.39591i
\(687\) −1.58578e11 1.98850e11i −0.711893 0.892686i
\(688\) 4.75939e11 + 5.36254e10i 2.12421 + 0.239341i
\(689\) −8.91934e10 + 1.85212e11i −0.395782 + 0.821849i
\(690\) 7.48886e10 3.28109e11i 0.330384 1.44751i
\(691\) 1.85439e10 + 8.12463e10i 0.0813373 + 0.356362i 0.999176 0.0405919i \(-0.0129244\pi\)
−0.917838 + 0.396954i \(0.870067\pi\)
\(692\) 5.26964e11 2.53773e11i 2.29804 1.10668i
\(693\) −7.61755e10 2.17697e11i −0.330280 0.943886i
\(694\) −4.55084e10 + 7.24263e10i −0.196180 + 0.312218i
\(695\) 2.71856e11i 1.16520i
\(696\) −4.07411e11 + 8.30186e11i −1.73618 + 3.53784i
\(697\) −1.34597e11 −0.570301
\(698\) 4.34527e11 + 2.73032e11i 1.83061 + 1.15025i
\(699\) 9.86014e10 3.45021e10i 0.413023 0.144523i
\(700\) 4.69988e10 + 9.75940e10i 0.195747 + 0.406472i
\(701\) 3.83681e11 8.75728e10i 1.58891 0.362658i 0.665476 0.746419i \(-0.268229\pi\)
0.923432 + 0.383762i \(0.125372\pi\)
\(702\) −2.33314e11 5.32523e10i −0.960709 0.219276i
\(703\) −2.96226e11 1.42655e11i −1.21284 0.584071i
\(704\) −1.52912e11 + 1.35713e12i −0.622516 + 5.52498i
\(705\) 1.43268e11 1.14253e11i 0.579955 0.462498i
\(706\) −6.24166e10 2.18405e10i −0.251236 0.0879112i
\(707\) 1.65591e10 + 1.46966e11i 0.0662764 + 0.588219i
\(708\) −5.09245e11 5.09245e11i −2.02672 2.02672i
\(709\) 2.18717e10 + 1.74421e10i 0.0865559 + 0.0690260i 0.665812 0.746120i \(-0.268085\pi\)
−0.579256 + 0.815146i \(0.696657\pi\)
\(710\) −2.70454e11 4.30425e11i −1.06429 1.69381i
\(711\) −5.05594e10 + 3.17685e10i −0.197844 + 0.124314i
\(712\) 9.82957e11 1.23259e12i 3.82485 4.79621i
\(713\) −3.07079e10 + 3.07079e10i −0.118821 + 0.118821i
\(714\) 3.96312e11 4.46536e10i 1.52491 0.171816i
\(715\) 1.34453e11 3.84244e11i 0.514453 1.47022i
\(716\) −8.15876e10 1.02308e11i −0.310436 0.389274i
\(717\) −5.98482e11 6.74328e10i −2.26451 0.255149i
\(718\) 2.41885e11 5.02280e11i 0.910148 1.88994i
\(719\) 8.28768e8 3.63107e9i 0.00310111 0.0135869i −0.973354 0.229309i \(-0.926353\pi\)
0.976455 + 0.215722i \(0.0692105\pi\)
\(720\) −1.11428e11 4.88199e11i −0.414635 1.81663i
\(721\) −3.34379e10 + 1.61028e10i −0.123736 + 0.0595883i
\(722\) 1.35359e10 + 3.86835e10i 0.0498126 + 0.142356i
\(723\) −7.84368e10 + 1.24831e11i −0.287056 + 0.456847i
\(724\) 7.40625e11i 2.69553i
\(725\) −3.92377e10 9.26252e9i −0.142021 0.0335257i
\(726\) 1.32471e12 4.76842
\(727\) −3.67879e11 2.31154e11i −1.31694 0.827490i −0.323997 0.946058i \(-0.605027\pi\)
−0.992946 + 0.118568i \(0.962170\pi\)
\(728\) −8.23432e11 + 2.88131e11i −2.93158 + 1.02581i
\(729\) −1.59602e10 3.31417e10i −0.0565104 0.117345i
\(730\) −3.16302e11 + 7.21939e10i −1.11381 + 0.254220i
\(731\) 9.63790e10 + 2.19979e10i 0.337530 + 0.0770391i
\(732\) 1.08127e12 + 5.20713e11i 3.76609 + 1.81365i
\(733\) 5.78359e9 5.13308e10i 0.0200346 0.177812i −0.979710 0.200422i \(-0.935769\pi\)
0.999744 + 0.0226093i \(0.00719737\pi\)
\(734\) −2.64908e11 + 2.11257e11i −0.912665 + 0.727826i
\(735\) −1.19773e11 4.19103e10i −0.410402 0.143606i
\(736\) −6.77213e10 6.01043e11i −0.230788 2.04830i
\(737\) 1.68662e11 + 1.68662e11i 0.571671 + 0.571671i
\(738\) −2.22875e11 1.77737e11i −0.751340 0.599173i
\(739\) 8.06529e10 + 1.28358e11i 0.270422 + 0.430375i 0.954135 0.299377i \(-0.0967787\pi\)
−0.683713 + 0.729751i \(0.739636\pi\)
\(740\) −9.43758e11 + 5.93003e11i −3.14727 + 1.97756i
\(741\) −1.99668e11 + 2.50375e11i −0.662270 + 0.830460i
\(742\) −5.17865e11 + 5.17865e11i −1.70845 + 1.70845i
\(743\) 3.09465e11 3.48683e10i 1.01544 0.114413i 0.411475 0.911421i \(-0.365014\pi\)
0.603969 + 0.797008i \(0.293585\pi\)
\(744\) −1.13415e11 + 3.24122e11i −0.370151 + 1.05783i
\(745\) −3.55956e11 4.46355e11i −1.15550 1.44896i
\(746\) −9.59255e10 1.08082e10i −0.309727 0.0348978i
\(747\) 6.64298e10 1.37943e11i 0.213344 0.443014i
\(748\) −1.84052e11 + 8.06386e11i −0.587943 + 2.57595i
\(749\) 7.13737e10 + 3.12709e11i 0.226783 + 0.993602i
\(750\) −6.11782e11 + 2.94619e11i −1.93353 + 0.931141i
\(751\) 2.66020e10 + 7.60240e10i 0.0836284 + 0.238996i 0.978103 0.208123i \(-0.0667355\pi\)
−0.894474 + 0.447120i \(0.852450\pi\)
\(752\) 3.36962e11 5.36272e11i 1.05368 1.67693i
\(753\) 2.12606e11i 0.661297i
\(754\) 1.74738e11 4.87735e11i 0.540631 1.50903i
\(755\) −1.31126e11 −0.403554
\(756\) −5.25680e11 3.30306e11i −1.60929 1.01118i
\(757\) 1.51861e11 5.31384e10i 0.462447 0.161817i −0.0889922 0.996032i \(-0.528365\pi\)
0.551439 + 0.834215i \(0.314079\pi\)
\(758\) 2.01766e11 + 4.18972e11i 0.611183 + 1.26913i
\(759\) −4.07358e11 + 9.29768e10i −1.22747 + 0.280161i
\(760\) 1.16447e12 + 2.65783e11i 3.49039 + 0.796659i
\(761\) 5.18429e11 + 2.49662e11i 1.54579 + 0.744414i 0.995869 0.0908012i \(-0.0289428\pi\)
0.549923 + 0.835215i \(0.314657\pi\)
\(762\) −3.44971e10 + 3.06170e11i −0.102320 +