Properties

Label 29.9.f.a.2.8
Level $29$
Weight $9$
Character 29.2
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 2.8
Character \(\chi\) \(=\) 29.2
Dual form 29.9.f.a.15.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.51607 - 0.621512i) q^{2} +(67.5754 + 42.4604i) q^{3} +(-219.541 - 50.1088i) q^{4} +(264.780 - 211.155i) q^{5} +(-346.361 - 276.213i) q^{6} +(606.153 + 2655.73i) q^{7} +(2521.16 + 882.193i) q^{8} +(-83.1675 - 172.699i) q^{9} +O(q^{10})\) \(q+(-5.51607 - 0.621512i) q^{2} +(67.5754 + 42.4604i) q^{3} +(-219.541 - 50.1088i) q^{4} +(264.780 - 211.155i) q^{5} +(-346.361 - 276.213i) q^{6} +(606.153 + 2655.73i) q^{7} +(2521.16 + 882.193i) q^{8} +(-83.1675 - 172.699i) q^{9} +(-1591.78 + 1000.18i) q^{10} +(-1969.45 + 689.141i) q^{11} +(-12707.9 - 12707.9i) q^{12} +(-14575.2 + 30265.7i) q^{13} +(-1693.01 - 15025.9i) q^{14} +(26858.3 - 3026.21i) q^{15} +(38580.3 + 18579.3i) q^{16} +(-83330.5 + 83330.5i) q^{17} +(351.423 + 1004.31i) q^{18} +(97302.1 + 154855. i) q^{19} +(-68710.7 + 33089.4i) q^{20} +(-71802.4 + 205199. i) q^{21} +(11291.9 - 2577.31i) q^{22} +(-175466. + 220028. i) q^{23} +(132910. + 166664. i) q^{24} +(-61400.2 + 269012. i) q^{25} +(99208.2 - 157889. i) q^{26} +(60339.7 - 535529. i) q^{27} -613415. i q^{28} +(389422. - 590421. i) q^{29} -150033. q^{30} +(-407677. - 45934.1i) q^{31} +(-780245. - 490261. i) q^{32} +(-162348. - 37054.8i) q^{33} +(511447. - 407866. i) q^{34} +(721268. + 575192. i) q^{35} +(9604.93 + 42081.9i) q^{36} +(2.81148e6 + 983781. i) q^{37} +(-440481. - 914667. i) q^{38} +(-2.27002e6 + 1.42635e6i) q^{39} +(853833. - 298769. i) q^{40} +(-355267. - 355267. i) q^{41} +(523601. - 1.08727e6i) q^{42} +(-457817. - 4.06324e6i) q^{43} +(466907. - 52607.8i) q^{44} +(-58487.4 - 28166.0i) q^{45} +(1.10463e6 - 1.10463e6i) q^{46} +(-1.42653e6 - 4.07679e6i) q^{47} +(1.81819e6 + 2.89364e6i) q^{48} +(-1.49157e6 + 718303. i) q^{49} +(505882. - 1.44573e6i) q^{50} +(-9.16934e6 + 2.09284e6i) q^{51} +(4.71643e6 - 5.91421e6i) q^{52} +(4.24635e6 + 5.32475e6i) q^{53} +(-665675. + 2.91651e6i) q^{54} +(-375956. + 598330. i) q^{55} +(-814656. + 7.23027e6i) q^{56} +1.45959e7i q^{57} +(-2.51503e6 + 3.01477e6i) q^{58} +4.96718e6 q^{59} +(-6.04814e6 - 681462. i) q^{60} +(-4.06782e6 - 2.55598e6i) q^{61} +(2.22022e6 + 506751. i) q^{62} +(408230. - 325553. i) q^{63} +(-4.57136e6 - 3.64554e6i) q^{64} +(2.53153e6 + 1.10914e7i) q^{65} +(872490. + 305298. i) q^{66} +(8.71514e6 + 1.80972e7i) q^{67} +(2.24700e7 - 1.41189e7i) q^{68} +(-2.11997e7 + 7.41809e6i) q^{69} +(-3.62107e6 - 3.62107e6i) q^{70} +(2.78678e6 - 5.78682e6i) q^{71} +(-57324.9 - 508773. i) q^{72} +(2.53184e6 - 285270. i) q^{73} +(-1.48969e7 - 7.17397e6i) q^{74} +(-1.55715e7 + 1.55715e7i) q^{75} +(-1.36022e7 - 3.88728e7i) q^{76} +(-3.02396e6 - 4.81261e6i) q^{77} +(1.34081e7 - 6.45698e6i) q^{78} +(-1.94140e7 + 5.54822e7i) q^{79} +(1.41384e7 - 3.22700e6i) q^{80} +(2.60322e7 - 3.26433e7i) q^{81} +(1.73888e6 + 2.18048e6i) q^{82} +(1.60187e7 - 7.01826e7i) q^{83} +(2.60458e7 - 4.14517e7i) q^{84} +(-4.46860e6 + 3.96599e7i) q^{85} +2.26976e7i q^{86} +(5.13849e7 - 2.33629e7i) q^{87} -5.57326e6 q^{88} +(-867477. - 97741.2i) q^{89} +(305115. + 191716. i) q^{90} +(-8.92123e7 - 2.03621e7i) q^{91} +(4.95473e7 - 3.95127e7i) q^{92} +(-2.55985e7 - 2.04141e7i) q^{93} +(5.33506e6 + 2.33744e7i) q^{94} +(5.84622e7 + 2.04568e7i) q^{95} +(-3.19087e7 - 6.62591e7i) q^{96} +(-4.90325e7 + 3.08091e7i) q^{97} +(8.67405e6 - 3.03518e6i) q^{98} +(282808. + 282808. i) 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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.51607 0.621512i −0.344754 0.0388445i −0.0621101 0.998069i \(-0.519783\pi\)
−0.282644 + 0.959225i \(0.591212\pi\)
\(3\) 67.5754 + 42.4604i 0.834264 + 0.524203i 0.880123 0.474745i \(-0.157460\pi\)
−0.0458594 + 0.998948i \(0.514603\pi\)
\(4\) −219.541 50.1088i −0.857581 0.195737i
\(5\) 264.780 211.155i 0.423648 0.337848i −0.388346 0.921514i \(-0.626953\pi\)
0.811994 + 0.583666i \(0.198382\pi\)
\(6\) −346.361 276.213i −0.267254 0.213128i
\(7\) 606.153 + 2655.73i 0.252459 + 1.10609i 0.929114 + 0.369793i \(0.120572\pi\)
−0.676655 + 0.736300i \(0.736571\pi\)
\(8\) 2521.16 + 882.193i 0.615518 + 0.215379i
\(9\) −83.1675 172.699i −0.0126760 0.0263221i
\(10\) −1591.78 + 1000.18i −0.159178 + 0.100018i
\(11\) −1969.45 + 689.141i −0.134516 + 0.0470692i −0.396698 0.917949i \(-0.629844\pi\)
0.262181 + 0.965019i \(0.415558\pi\)
\(12\) −12707.9 12707.9i −0.612843 0.612843i
\(13\) −14575.2 + 30265.7i −0.510318 + 1.05969i 0.473546 + 0.880769i \(0.342974\pi\)
−0.983864 + 0.178917i \(0.942741\pi\)
\(14\) −1693.01 15025.9i −0.0440705 0.391137i
\(15\) 26858.3 3026.21i 0.530535 0.0597770i
\(16\) 38580.3 + 18579.3i 0.588688 + 0.283497i
\(17\) −83330.5 + 83330.5i −0.997719 + 0.997719i −0.999997 0.00227856i \(-0.999275\pi\)
0.00227856 + 0.999997i \(0.499275\pi\)
\(18\) 351.423 + 1004.31i 0.00334765 + 0.00956704i
\(19\) 97302.1 + 154855.i 0.746634 + 1.18826i 0.976600 + 0.215063i \(0.0689957\pi\)
−0.229966 + 0.973199i \(0.573861\pi\)
\(20\) −68710.7 + 33089.4i −0.429442 + 0.206808i
\(21\) −71802.4 + 205199.i −0.369200 + 1.05511i
\(22\) 11291.9 2577.31i 0.0482034 0.0110021i
\(23\) −175466. + 220028.i −0.627022 + 0.786260i −0.989313 0.145805i \(-0.953423\pi\)
0.362292 + 0.932065i \(0.381994\pi\)
\(24\) 132910. + 166664.i 0.400602 + 0.502339i
\(25\) −61400.2 + 269012.i −0.157185 + 0.688671i
\(26\) 99208.2 157889.i 0.217097 0.345508i
\(27\) 60339.7 535529.i 0.113540 1.00769i
\(28\) 613415.i 0.997980i
\(29\) 389422. 590421.i 0.550591 0.834775i
\(30\) −150033. −0.185226
\(31\) −407677. 45934.1i −0.441437 0.0497380i −0.111551 0.993759i \(-0.535582\pi\)
−0.329886 + 0.944021i \(0.607010\pi\)
\(32\) −780245. 490261.i −0.744100 0.467549i
\(33\) −162348. 37054.8i −0.136896 0.0312456i
\(34\) 511447. 407866.i 0.382724 0.305212i
\(35\) 721268. + 575192.i 0.480645 + 0.383302i
\(36\) 9604.93 + 42081.9i 0.00571853 + 0.0250545i
\(37\) 2.81148e6 + 983781.i 1.50013 + 0.524918i 0.950563 0.310532i \(-0.100507\pi\)
0.549566 + 0.835450i \(0.314793\pi\)
\(38\) −440481. 914667.i −0.211248 0.438661i
\(39\) −2.27002e6 + 1.42635e6i −0.981230 + 0.616548i
\(40\) 853833. 298769.i 0.333529 0.116707i
\(41\) −355267. 355267.i −0.125724 0.125724i 0.641445 0.767169i \(-0.278335\pi\)
−0.767169 + 0.641445i \(0.778335\pi\)
\(42\) 523601. 1.08727e6i 0.168269 0.349413i
\(43\) −457817. 4.06324e6i −0.133912 1.18850i −0.863406 0.504511i \(-0.831673\pi\)
0.729494 0.683987i \(-0.239756\pi\)
\(44\) 466907. 52607.8i 0.124572 0.0140359i
\(45\) −58487.4 28166.0i −0.0142630 0.00686872i
\(46\) 1.10463e6 1.10463e6i 0.246710 0.246710i
\(47\) −1.42653e6 4.07679e6i −0.292341 0.835462i −0.992584 0.121558i \(-0.961211\pi\)
0.700244 0.713904i \(-0.253075\pi\)
\(48\) 1.81819e6 + 2.89364e6i 0.342511 + 0.545103i
\(49\) −1.49157e6 + 718303.i −0.258738 + 0.124602i
\(50\) 505882. 1.44573e6i 0.0809411 0.231316i
\(51\) −9.16934e6 + 2.09284e6i −1.35537 + 0.309354i
\(52\) 4.71643e6 5.91421e6i 0.645059 0.808879i
\(53\) 4.24635e6 + 5.32475e6i 0.538161 + 0.674832i 0.974354 0.225021i \(-0.0722451\pi\)
−0.436193 + 0.899853i \(0.643674\pi\)
\(54\) −665675. + 2.91651e6i −0.0782866 + 0.342996i
\(55\) −375956. + 598330.i −0.0410853 + 0.0653868i
\(56\) −814656. + 7.23027e6i −0.0828366 + 0.735195i
\(57\) 1.45959e7i 1.38271i
\(58\) −2.51503e6 + 3.01477e6i −0.222245 + 0.266405i
\(59\) 4.96718e6 0.409922 0.204961 0.978770i \(-0.434293\pi\)
0.204961 + 0.978770i \(0.434293\pi\)
\(60\) −6.04814e6 681462.i −0.466678 0.0525819i
\(61\) −4.06782e6 2.55598e6i −0.293794 0.184603i 0.377068 0.926186i \(-0.376932\pi\)
−0.670861 + 0.741583i \(0.734075\pi\)
\(62\) 2.22022e6 + 506751.i 0.150255 + 0.0342948i
\(63\) 408230. 325553.i 0.0259145 0.0206661i
\(64\) −4.57136e6 3.64554e6i −0.272474 0.217291i
\(65\) 2.53153e6 + 1.10914e7i 0.141818 + 0.621344i
\(66\) 872490. + 305298.i 0.0459817 + 0.0160897i
\(67\) 8.71514e6 + 1.80972e7i 0.432489 + 0.898073i 0.997341 + 0.0728802i \(0.0232191\pi\)
−0.564852 + 0.825192i \(0.691067\pi\)
\(68\) 2.24700e7 1.41189e7i 1.05092 0.660334i
\(69\) −2.11997e7 + 7.41809e6i −0.935261 + 0.327262i
\(70\) −3.62107e6 3.62107e6i −0.150815 0.150815i
\(71\) 2.78678e6 5.78682e6i 0.109665 0.227723i −0.838912 0.544266i \(-0.816808\pi\)
0.948578 + 0.316544i \(0.102522\pi\)
\(72\) −57324.9 508773.i −0.00213311 0.0189319i
\(73\) 2.53184e6 285270.i 0.0891547 0.0100453i −0.0672744 0.997735i \(-0.521430\pi\)
0.156429 + 0.987689i \(0.450002\pi\)
\(74\) −1.48969e7 7.17397e6i −0.496786 0.239239i
\(75\) −1.55715e7 + 1.55715e7i −0.492136 + 0.492136i
\(76\) −1.36022e7 3.88728e7i −0.407712 1.16518i
\(77\) −3.02396e6 4.81261e6i −0.0860227 0.136904i
\(78\) 1.34081e7 6.45698e6i 0.362233 0.174442i
\(79\) −1.94140e7 + 5.54822e7i −0.498434 + 1.42444i 0.370183 + 0.928959i \(0.379295\pi\)
−0.868617 + 0.495484i \(0.834991\pi\)
\(80\) 1.41384e7 3.22700e6i 0.345176 0.0787841i
\(81\) 2.60322e7 3.26433e7i 0.604742 0.758323i
\(82\) 1.73888e6 + 2.18048e6i 0.0384603 + 0.0482277i
\(83\) 1.60187e7 7.01826e7i 0.337533 1.47883i −0.466649 0.884443i \(-0.654539\pi\)
0.804181 0.594384i \(-0.202604\pi\)
\(84\) 2.60458e7 4.14517e7i 0.523144 0.832579i
\(85\) −4.46860e6 + 3.96599e7i −0.0856043 + 0.759759i
\(86\) 2.26976e7i 0.414941i
\(87\) 5.13849e7 2.33629e7i 0.896930 0.407802i
\(88\) −5.57326e6 −0.0929349
\(89\) −867477. 97741.2i −0.0138260 0.00155782i 0.105049 0.994467i \(-0.466500\pi\)
−0.118875 + 0.992909i \(0.537929\pi\)
\(90\) 305115. + 191716.i 0.00465043 + 0.00292206i
\(91\) −8.92123e7 2.03621e7i −1.30095 0.296932i
\(92\) 4.95473e7 3.95127e7i 0.691622 0.551551i
\(93\) −2.55985e7 2.04141e7i −0.342202 0.272897i
\(94\) 5.33506e6 + 2.33744e7i 0.0683326 + 0.299385i
\(95\) 5.84622e7 + 2.04568e7i 0.717762 + 0.251156i
\(96\) −3.19087e7 6.62591e7i −0.375685 0.780118i
\(97\) −4.90325e7 + 3.08091e7i −0.553856 + 0.348011i −0.779701 0.626153i \(-0.784629\pi\)
0.225845 + 0.974163i \(0.427486\pi\)
\(98\) 8.67405e6 3.03518e6i 0.0940411 0.0329064i
\(99\) 282808. + 282808.i 0.00294409 + 0.00294409i
\(100\) 2.69597e7 5.59824e7i 0.269597 0.559824i
\(101\) 8.48654e6 + 7.53201e7i 0.0815540 + 0.723811i 0.966243 + 0.257631i \(0.0829418\pi\)
−0.884689 + 0.466181i \(0.845630\pi\)
\(102\) 5.18794e7 5.84540e6i 0.479285 0.0540025i
\(103\) −1.32350e8 6.37366e7i −1.17592 0.566291i −0.259197 0.965824i \(-0.583458\pi\)
−0.916719 + 0.399533i \(0.869172\pi\)
\(104\) −6.34466e7 + 6.34466e7i −0.542344 + 0.542344i
\(105\) 2.43171e7 + 6.94941e7i 0.200057 + 0.571730i
\(106\) −2.01137e7 3.20108e7i −0.159320 0.253556i
\(107\) 1.09864e8 5.29075e7i 0.838144 0.403629i 0.0349806 0.999388i \(-0.488863\pi\)
0.803163 + 0.595759i \(0.203149\pi\)
\(108\) −4.00817e7 + 1.14547e8i −0.294613 + 0.841955i
\(109\) 6.41220e6 1.46354e6i 0.0454257 0.0103681i −0.199748 0.979847i \(-0.564012\pi\)
0.245173 + 0.969479i \(0.421155\pi\)
\(110\) 2.44567e6 3.06677e6i 0.0167042 0.0209464i
\(111\) 1.48215e8 + 1.85856e8i 0.976340 + 1.22429i
\(112\) −2.59560e7 + 1.13721e8i −0.164955 + 0.722715i
\(113\) −1.35158e7 + 2.15102e7i −0.0828947 + 0.131926i −0.885598 0.464452i \(-0.846251\pi\)
0.802704 + 0.596378i \(0.203394\pi\)
\(114\) 9.07152e6 8.05120e7i 0.0537107 0.476696i
\(115\) 9.53096e7i 0.544936i
\(116\) −1.15079e8 + 1.10108e8i −0.635573 + 0.608116i
\(117\) 6.43904e6 0.0343620
\(118\) −2.73993e7 3.08716e6i −0.141322 0.0159232i
\(119\) −2.71814e8 1.70792e8i −1.35545 0.851687i
\(120\) 7.03840e7 + 1.60647e7i 0.339429 + 0.0774724i
\(121\) −1.64189e8 + 1.30936e8i −0.765952 + 0.610827i
\(122\) 2.08498e7 + 1.66272e7i 0.0941158 + 0.0750548i
\(123\) −8.92252e6 3.90921e7i −0.0389823 0.170792i
\(124\) 8.72000e7 + 3.05126e7i 0.368833 + 0.129060i
\(125\) 9.79448e7 + 2.03385e8i 0.401182 + 0.833063i
\(126\) −2.45416e6 + 1.54205e6i −0.00973690 + 0.00611810i
\(127\) 3.17861e8 1.11224e8i 1.22186 0.427548i 0.359168 0.933273i \(-0.383061\pi\)
0.862695 + 0.505725i \(0.168775\pi\)
\(128\) 1.89757e8 + 1.89757e8i 0.706901 + 0.706901i
\(129\) 1.41590e8 2.94014e8i 0.511296 1.06172i
\(130\) −7.07070e6 6.27542e7i −0.0247565 0.219720i
\(131\) −1.24633e8 + 1.40428e7i −0.423204 + 0.0476836i −0.320998 0.947080i \(-0.604018\pi\)
−0.102205 + 0.994763i \(0.532590\pi\)
\(132\) 3.37852e7 + 1.62701e7i 0.111283 + 0.0535912i
\(133\) −3.52274e8 + 3.52274e8i −1.12583 + 1.12583i
\(134\) −3.68257e7 1.05242e8i −0.114217 0.326414i
\(135\) −9.71030e7 1.54539e8i −0.292346 0.465266i
\(136\) −2.83603e8 + 1.36576e8i −0.829002 + 0.399226i
\(137\) 1.43398e8 4.09809e8i 0.407063 1.16332i −0.539831 0.841774i \(-0.681512\pi\)
0.946894 0.321546i \(-0.104202\pi\)
\(138\) 1.21549e8 2.77428e7i 0.335148 0.0764952i
\(139\) 2.58933e8 3.24692e8i 0.693631 0.869786i −0.302898 0.953023i \(-0.597954\pi\)
0.996530 + 0.0832365i \(0.0265257\pi\)
\(140\) −1.29526e8 1.62420e8i −0.337166 0.422792i
\(141\) 7.67038e7 3.36061e8i 0.194062 0.850241i
\(142\) −1.89687e7 + 3.01885e7i −0.0466534 + 0.0742485i
\(143\) 7.84780e6 6.96512e7i 0.0187674 0.166565i
\(144\) 8.20797e6i 0.0190891i
\(145\) −2.15590e7 2.38560e8i −0.0487704 0.539667i
\(146\) −1.41431e7 −0.0311267
\(147\) −1.31293e8 1.47932e7i −0.281172 0.0316805i
\(148\) −5.67939e8 3.56860e8i −1.18374 0.743791i
\(149\) 8.94474e8 + 2.04158e8i 1.81477 + 0.414210i 0.988769 0.149453i \(-0.0477511\pi\)
0.826005 + 0.563663i \(0.190608\pi\)
\(150\) 9.55713e7 7.62156e7i 0.188783 0.150549i
\(151\) −3.70406e8 2.95389e8i −0.712475 0.568180i 0.198769 0.980046i \(-0.436306\pi\)
−0.911244 + 0.411866i \(0.864877\pi\)
\(152\) 1.08702e8 + 4.76255e8i 0.203640 + 0.892206i
\(153\) 2.13215e7 + 7.46071e6i 0.0389092 + 0.0136149i
\(154\) 1.36893e7 + 2.84261e7i 0.0243387 + 0.0505399i
\(155\) −1.17644e8 + 7.39205e7i −0.203818 + 0.128067i
\(156\) 5.69834e8 1.99394e8i 0.962166 0.336676i
\(157\) 3.27791e8 + 3.27791e8i 0.539509 + 0.539509i 0.923385 0.383876i \(-0.125411\pi\)
−0.383876 + 0.923385i \(0.625411\pi\)
\(158\) 1.41572e8 2.93977e8i 0.227169 0.471721i
\(159\) 6.08573e7 + 5.40123e8i 0.0952191 + 0.845093i
\(160\) −3.10114e8 + 3.49415e7i −0.473197 + 0.0533165i
\(161\) −6.90694e8 3.32621e8i −1.02797 0.495046i
\(162\) −1.63883e8 + 1.63883e8i −0.237944 + 0.237944i
\(163\) 1.43808e8 + 4.10980e8i 0.203720 + 0.582198i 0.999734 0.0230806i \(-0.00734744\pi\)
−0.796014 + 0.605279i \(0.793062\pi\)
\(164\) 6.01937e7 + 9.57977e7i 0.0832100 + 0.132428i
\(165\) −5.08107e7 + 2.44691e7i −0.0685519 + 0.0330129i
\(166\) −1.31980e8 + 3.77176e8i −0.173810 + 0.496720i
\(167\) 1.17207e9 2.67517e8i 1.50691 0.343942i 0.612240 0.790672i \(-0.290269\pi\)
0.894669 + 0.446730i \(0.147412\pi\)
\(168\) −3.62051e8 + 4.53998e8i −0.454499 + 0.569923i
\(169\) −1.94976e8 2.44492e8i −0.239020 0.299722i
\(170\) 4.92982e7 2.15989e8i 0.0590249 0.258605i
\(171\) 1.86510e7 2.96829e7i 0.0218131 0.0347154i
\(172\) −1.03094e8 + 9.14987e8i −0.117793 + 1.04544i
\(173\) 8.93266e8i 0.997232i −0.866823 0.498616i \(-0.833842\pi\)
0.866823 0.498616i \(-0.166158\pi\)
\(174\) −2.97963e8 + 9.69348e7i −0.325061 + 0.105751i
\(175\) −7.51641e8 −0.801416
\(176\) −8.87857e7 1.00037e7i −0.0925321 0.0104259i
\(177\) 3.35659e8 + 2.10908e8i 0.341983 + 0.214882i
\(178\) 4.72432e6 + 1.07829e6i 0.00470608 + 0.00107413i
\(179\) −6.14730e8 + 4.90231e8i −0.598787 + 0.477517i −0.875357 0.483477i \(-0.839374\pi\)
0.276570 + 0.960994i \(0.410802\pi\)
\(180\) 1.14290e7 + 9.11433e6i 0.0108873 + 0.00868230i
\(181\) −8.86308e7 3.88317e8i −0.0825791 0.361803i 0.916708 0.399558i \(-0.130836\pi\)
−0.999287 + 0.0377552i \(0.987979\pi\)
\(182\) 4.79446e8 + 1.67765e8i 0.436972 + 0.152903i
\(183\) −1.66356e8 3.45443e8i −0.148332 0.308015i
\(184\) −6.36486e8 + 3.99931e8i −0.555287 + 0.348910i
\(185\) 9.52155e8 3.33173e8i 0.812869 0.284435i
\(186\) 1.28516e8 + 1.28516e8i 0.107375 + 0.107375i
\(187\) 1.06689e8 2.21542e8i 0.0872474 0.181171i
\(188\) 1.08899e8 + 9.66503e8i 0.0871749 + 0.773698i
\(189\) 1.45880e9 1.64367e8i 1.14327 0.128815i
\(190\) −3.09767e8 1.49176e8i −0.237695 0.114468i
\(191\) −1.74479e9 + 1.74479e9i −1.31102 + 1.31102i −0.390355 + 0.920664i \(0.627648\pi\)
−0.920664 + 0.390355i \(0.872352\pi\)
\(192\) −1.54120e8 4.40451e8i −0.113411 0.324110i
\(193\) −1.22591e9 1.95103e9i −0.883548 1.40616i −0.913602 0.406610i \(-0.866711\pi\)
0.0300544 0.999548i \(-0.490432\pi\)
\(194\) 2.89615e8 1.39471e8i 0.204462 0.0984639i
\(195\) −2.99875e8 + 8.56994e8i −0.207397 + 0.592706i
\(196\) 3.63454e8 8.29561e7i 0.246278 0.0562113i
\(197\) 8.17253e8 1.02480e9i 0.542615 0.680418i −0.432623 0.901575i \(-0.642412\pi\)
0.975238 + 0.221157i \(0.0709834\pi\)
\(198\) −1.38422e6 1.73576e6i −0.000900627 0.00112935i
\(199\) −4.95307e8 + 2.17008e9i −0.315836 + 1.38377i 0.528944 + 0.848657i \(0.322588\pi\)
−0.844781 + 0.535113i \(0.820269\pi\)
\(200\) −3.92120e8 + 6.24056e8i −0.245075 + 0.390035i
\(201\) −1.79485e8 + 1.59297e9i −0.109962 + 0.975941i
\(202\) 4.20745e8i 0.252705i
\(203\) 1.80405e9 + 6.76316e8i 1.06234 + 0.398259i
\(204\) 2.11791e9 1.22289
\(205\) −1.69084e8 1.90512e7i −0.0957387 0.0107872i
\(206\) 6.90441e8 + 4.33833e8i 0.383405 + 0.240909i
\(207\) 5.25917e7 + 1.20037e7i 0.0286442 + 0.00653784i
\(208\) −1.12463e9 + 8.96862e8i −0.600836 + 0.479151i
\(209\) −2.98349e8 2.37925e8i −0.156365 0.124697i
\(210\) −9.09431e7 3.98448e8i −0.0467619 0.204877i
\(211\) 9.94512e7 + 3.47995e7i 0.0501742 + 0.0175567i 0.355249 0.934772i \(-0.384396\pi\)
−0.305075 + 0.952328i \(0.598682\pi\)
\(212\) −6.65430e8 1.38178e9i −0.329427 0.684061i
\(213\) 4.34029e8 2.72718e8i 0.210863 0.132494i
\(214\) −6.38897e8 + 2.23560e8i −0.304632 + 0.106595i
\(215\) −9.79194e8 9.79194e8i −0.458263 0.458263i
\(216\) 6.24567e8 1.29693e9i 0.286922 0.595799i
\(217\) −1.25126e8 1.11052e9i −0.0564297 0.500828i
\(218\) −3.62797e7 + 4.08775e6i −0.0160634 + 0.00180991i
\(219\) 1.83203e8 + 8.82257e7i 0.0796443 + 0.0383547i
\(220\) 1.12519e8 1.12519e8i 0.0480326 0.0480326i
\(221\) −1.30750e9 3.73661e9i −0.548115 1.56642i
\(222\) −7.02054e8 1.11731e9i −0.289040 0.460005i
\(223\) −1.06045e9 + 5.10686e8i −0.428816 + 0.206507i −0.635827 0.771832i \(-0.719341\pi\)
0.207011 + 0.978339i \(0.433627\pi\)
\(224\) 8.29052e8 2.36929e9i 0.329298 0.941081i
\(225\) 5.15646e7 1.17693e7i 0.0201197 0.00459219i
\(226\) 8.79227e7 1.10252e8i 0.0337029 0.0422621i
\(227\) 1.11344e9 + 1.39621e9i 0.419337 + 0.525831i 0.945967 0.324263i \(-0.105116\pi\)
−0.526630 + 0.850094i \(0.676545\pi\)
\(228\) 7.31383e8 3.20440e9i 0.270648 1.18579i
\(229\) 1.08168e9 1.72149e9i 0.393330 0.625981i −0.590087 0.807340i \(-0.700907\pi\)
0.983417 + 0.181358i \(0.0580494\pi\)
\(230\) 5.92360e7 5.25734e8i 0.0211677 0.187869i
\(231\) 4.53612e8i 0.159308i
\(232\) 1.50266e9 1.14500e9i 0.518692 0.395234i
\(233\) 1.87181e9 0.635093 0.317547 0.948243i \(-0.397141\pi\)
0.317547 + 0.948243i \(0.397141\pi\)
\(234\) −3.55182e7 4.00194e6i −0.0118464 0.00133477i
\(235\) −1.23855e9 7.78233e8i −0.406109 0.255175i
\(236\) −1.09050e9 2.48899e8i −0.351542 0.0802371i
\(237\) −3.66771e9 + 2.92490e9i −1.16252 + 0.927080i
\(238\) 1.39320e9 + 1.11104e9i 0.434215 + 0.346275i
\(239\) 5.89235e8 + 2.58161e9i 0.180591 + 0.791222i 0.981349 + 0.192234i \(0.0615732\pi\)
−0.800758 + 0.598988i \(0.795570\pi\)
\(240\) 1.09243e9 + 3.82257e8i 0.329266 + 0.115215i
\(241\) 1.95577e9 + 4.06120e9i 0.579762 + 1.20389i 0.960260 + 0.279107i \(0.0900384\pi\)
−0.380498 + 0.924782i \(0.624247\pi\)
\(242\) 9.87054e8 6.20207e8i 0.287793 0.180832i
\(243\) −1.92240e8 + 6.72676e7i −0.0551338 + 0.0192922i
\(244\) 7.64975e8 + 7.64975e8i 0.215818 + 0.215818i
\(245\) −2.43265e8 + 5.05145e8i −0.0675174 + 0.140201i
\(246\) 2.49210e7 + 2.21180e8i 0.00680496 + 0.0603957i
\(247\) −6.10500e9 + 6.87869e8i −1.64021 + 0.184807i
\(248\) −9.87296e8 4.75457e8i −0.261000 0.125691i
\(249\) 4.06246e9 4.06246e9i 1.05680 1.05680i
\(250\) −4.13864e8 1.18276e9i −0.105949 0.302786i
\(251\) 2.18654e9 + 3.47985e9i 0.550886 + 0.876730i 0.999859 0.0168155i \(-0.00535280\pi\)
−0.448973 + 0.893545i \(0.648210\pi\)
\(252\) −1.05936e8 + 5.10162e7i −0.0262689 + 0.0126504i
\(253\) 1.93942e8 5.54255e8i 0.0473359 0.135278i
\(254\) −1.82247e9 + 4.15967e8i −0.437850 + 0.0999365i
\(255\) −1.98594e9 + 2.49029e9i −0.469684 + 0.588966i
\(256\) 4.48127e6 + 5.61933e6i 0.00104338 + 0.00130835i
\(257\) −1.00319e9 + 4.39526e9i −0.229959 + 1.00752i 0.719714 + 0.694271i \(0.244273\pi\)
−0.949672 + 0.313245i \(0.898584\pi\)
\(258\) −9.63751e8 + 1.53380e9i −0.217513 + 0.346171i
\(259\) −9.08467e8 + 8.06286e9i −0.201888 + 1.79180i
\(260\) 2.56186e9i 0.560612i
\(261\) −1.34352e8 1.81491e7i −0.0289523 0.00391105i
\(262\) 6.96215e8 0.147754
\(263\) −4.58801e9 5.16945e8i −0.958962 0.108049i −0.381413 0.924405i \(-0.624562\pi\)
−0.577549 + 0.816356i \(0.695991\pi\)
\(264\) −3.76615e8 2.36643e8i −0.0775322 0.0487167i
\(265\) 2.24869e9 + 5.13250e8i 0.455981 + 0.104075i
\(266\) 2.16211e9 1.72423e9i 0.431868 0.344404i
\(267\) −5.44700e7 4.34383e7i −0.0107180 0.00854729i
\(268\) −1.00650e9 4.40977e9i −0.195108 0.854825i
\(269\) 8.54960e9 + 2.99163e9i 1.63281 + 0.571346i 0.982163 0.188031i \(-0.0602106\pi\)
0.650650 + 0.759377i \(0.274496\pi\)
\(270\) 4.39579e8 + 9.12796e8i 0.0827146 + 0.171759i
\(271\) 5.17055e9 3.24887e9i 0.958649 0.602359i 0.0407482 0.999169i \(-0.487026\pi\)
0.917901 + 0.396811i \(0.129883\pi\)
\(272\) −4.76313e9 + 1.66669e9i −0.870196 + 0.304495i
\(273\) −5.16397e9 5.16397e9i −0.929679 0.929679i
\(274\) −1.04570e9 + 2.17141e9i −0.185525 + 0.385247i
\(275\) −6.44624e7 5.72119e8i −0.0112713 0.100036i
\(276\) 5.02591e9 5.66284e8i 0.866120 0.0975883i
\(277\) −3.26116e9 1.57049e9i −0.553928 0.266758i 0.135910 0.990721i \(-0.456604\pi\)
−0.689838 + 0.723963i \(0.742318\pi\)
\(278\) −1.63009e9 + 1.63009e9i −0.272919 + 0.272919i
\(279\) 2.59727e7 + 7.42256e7i 0.00428647 + 0.0122500i
\(280\) 1.31100e9 + 2.08645e9i 0.213291 + 0.339450i
\(281\) −6.75334e9 + 3.25224e9i −1.08316 + 0.521624i −0.888327 0.459212i \(-0.848132\pi\)
−0.194836 + 0.980836i \(0.562417\pi\)
\(282\) −6.31970e8 + 1.80607e9i −0.0999309 + 0.285586i
\(283\) −2.49700e9 + 5.69924e8i −0.389290 + 0.0888528i −0.412686 0.910873i \(-0.635409\pi\)
0.0233961 + 0.999726i \(0.492552\pi\)
\(284\) −9.01783e8 + 1.13080e9i −0.138621 + 0.173825i
\(285\) 3.08200e9 + 3.86470e9i 0.467146 + 0.585783i
\(286\) −8.65780e7 + 3.79323e8i −0.0129403 + 0.0566950i
\(287\) 7.28148e8 1.15884e9i 0.107323 0.170803i
\(288\) −1.97765e7 + 1.75521e8i −0.00287462 + 0.0255129i
\(289\) 6.91218e9i 0.990886i
\(290\) −2.93470e7 + 1.32931e9i −0.00414927 + 0.187947i
\(291\) −4.62156e9 −0.644490
\(292\) −5.70136e8 6.42389e7i −0.0784237 0.00883623i
\(293\) 4.09926e9 + 2.57574e9i 0.556205 + 0.349487i 0.780619 0.625007i \(-0.214904\pi\)
−0.224414 + 0.974494i \(0.572047\pi\)
\(294\) 7.15027e8 + 1.63200e8i 0.0957047 + 0.0218440i
\(295\) 1.31521e9 1.04884e9i 0.173663 0.138491i
\(296\) 6.22032e9 + 4.96054e9i 0.810301 + 0.646193i
\(297\) 2.50219e8 + 1.09628e9i 0.0321584 + 0.140895i
\(298\) −4.80709e9 1.68207e9i −0.609561 0.213295i
\(299\) −4.10184e9 8.51756e9i −0.513209 1.06569i
\(300\) 4.19885e9 2.63831e9i 0.518376 0.325718i
\(301\) 1.05134e10 3.67878e9i 1.28078 0.448165i
\(302\) 1.85959e9 + 1.85959e9i 0.223558 + 0.223558i
\(303\) −2.62464e9 + 5.45013e9i −0.311386 + 0.646601i
\(304\) 8.76840e8 + 7.78217e9i 0.102666 + 0.911184i
\(305\) −1.61679e9 + 1.82168e8i −0.186833 + 0.0210510i
\(306\) −1.12974e8 5.44054e7i −0.0128852 0.00620520i
\(307\) 9.84095e9 9.84095e9i 1.10786 1.10786i 0.114425 0.993432i \(-0.463498\pi\)
0.993432 0.114425i \(-0.0365024\pi\)
\(308\) 4.22729e8 + 1.20809e9i 0.0469742 + 0.134245i
\(309\) −6.23734e9 9.92667e9i −0.684173 1.08885i
\(310\) 6.94874e8 3.34634e8i 0.0752418 0.0362345i
\(311\) 1.54184e9 4.40631e9i 0.164815 0.471014i −0.831623 0.555340i \(-0.812588\pi\)
0.996438 + 0.0843263i \(0.0268738\pi\)
\(312\) −6.98140e9 + 1.59346e9i −0.736757 + 0.168160i
\(313\) 8.19996e8 1.02824e9i 0.0854347 0.107132i −0.737277 0.675591i \(-0.763889\pi\)
0.822712 + 0.568459i \(0.192460\pi\)
\(314\) −1.60439e9 2.01185e9i −0.165041 0.206955i
\(315\) 3.93491e7 1.72400e8i 0.00399662 0.0175103i
\(316\) 7.04232e9 1.12078e10i 0.706264 1.12401i
\(317\) 2.21459e9 1.96551e10i 0.219309 1.94642i −0.0911498 0.995837i \(-0.529054\pi\)
0.310459 0.950587i \(-0.399517\pi\)
\(318\) 3.01718e9i 0.295048i
\(319\) −3.60066e8 + 1.43117e9i −0.0347711 + 0.138207i
\(320\) −1.98018e9 −0.188845
\(321\) 9.67054e9 + 1.08961e9i 0.910816 + 0.102624i
\(322\) 3.60319e9 + 2.26403e9i 0.335169 + 0.210600i
\(323\) −2.10124e10 4.79595e9i −1.93048 0.440620i
\(324\) −7.35084e9 + 5.86210e9i −0.667048 + 0.531953i
\(325\) −7.24691e9 5.77922e9i −0.649560 0.518007i
\(326\) −5.37827e8 2.35637e9i −0.0476181 0.208629i
\(327\) 4.95450e8 + 1.73365e8i 0.0433320 + 0.0151625i
\(328\) −5.82272e8 1.20910e9i −0.0503073 0.104464i
\(329\) 9.96215e9 6.25963e9i 0.850295 0.534276i
\(330\) 2.95483e8 1.03394e8i 0.0249159 0.00871846i
\(331\) 8.53241e9 + 8.53241e9i 0.710820 + 0.710820i 0.966707 0.255886i \(-0.0823673\pi\)
−0.255886 + 0.966707i \(0.582367\pi\)
\(332\) −7.03353e9 + 1.46053e10i −0.578923 + 1.20215i
\(333\) −6.39261e7 5.67360e8i −0.00519878 0.0461404i
\(334\) −6.63147e9 + 7.47187e8i −0.532873 + 0.0600404i
\(335\) 6.12890e9 + 2.95152e9i 0.486635 + 0.234351i
\(336\) −6.58261e9 + 6.58261e9i −0.516465 + 0.516465i
\(337\) 7.17434e9 + 2.05031e10i 0.556240 + 1.58964i 0.787212 + 0.616683i \(0.211524\pi\)
−0.230972 + 0.972961i \(0.574190\pi\)
\(338\) 9.23547e8 + 1.46982e9i 0.0707607 + 0.112615i
\(339\) −1.82667e9 + 8.79676e8i −0.138312 + 0.0666076i
\(340\) 2.96835e9 8.48305e9i 0.222126 0.634799i
\(341\) 8.34554e8 1.90482e8i 0.0617216 0.0140875i
\(342\) −1.21329e8 + 1.52141e8i −0.00886868 + 0.0111210i
\(343\) 6.97921e9 + 8.75166e9i 0.504232 + 0.632286i
\(344\) 2.43033e9 1.06480e10i 0.173553 0.760384i
\(345\) −4.04689e9 + 6.44058e9i −0.285657 + 0.454620i
\(346\) −5.55175e8 + 4.92732e9i −0.0387370 + 0.343800i
\(347\) 4.28877e9i 0.295812i 0.989001 + 0.147906i \(0.0472533\pi\)
−0.989001 + 0.147906i \(0.952747\pi\)
\(348\) −1.24518e10 + 2.55427e9i −0.849012 + 0.174160i
\(349\) −1.26894e9 −0.0855340 −0.0427670 0.999085i \(-0.513617\pi\)
−0.0427670 + 0.999085i \(0.513617\pi\)
\(350\) 4.14610e9 + 4.67153e8i 0.276292 + 0.0311306i
\(351\) 1.53287e10 + 9.63167e9i 1.00990 + 0.634560i
\(352\) 1.87451e9 + 4.27846e8i 0.122101 + 0.0278687i
\(353\) −4.03529e9 + 3.21804e9i −0.259882 + 0.207249i −0.744759 0.667333i \(-0.767436\pi\)
0.484877 + 0.874582i \(0.338864\pi\)
\(354\) −1.72043e9 1.37200e9i −0.109553 0.0873658i
\(355\) −4.84031e8 2.12068e9i −0.0304761 0.133525i
\(356\) 1.85549e8 + 6.49264e7i 0.0115520 + 0.00404223i
\(357\) −1.11160e10 2.30827e10i −0.684348 1.42106i
\(358\) 3.69558e9 2.32209e9i 0.224983 0.141366i
\(359\) 2.82671e9 9.89109e8i 0.170178 0.0595479i −0.243845 0.969814i \(-0.578409\pi\)
0.414023 + 0.910266i \(0.364123\pi\)
\(360\) −1.22608e8 1.22608e8i −0.00729979 0.00729979i
\(361\) −7.14361e9 + 1.48339e10i −0.420619 + 0.873425i
\(362\) 2.47550e8 + 2.19707e9i 0.0144155 + 0.127941i
\(363\) −1.66547e10 + 1.87654e9i −0.959203 + 0.108076i
\(364\) 1.85654e10 + 8.94063e9i 1.05755 + 0.509287i
\(365\) 6.10144e8 6.10144e8i 0.0343764 0.0343764i
\(366\) 7.02936e8 + 2.00888e9i 0.0391734 + 0.111951i
\(367\) 6.16364e9 + 9.80938e9i 0.339761 + 0.540726i 0.972280 0.233818i \(-0.0751221\pi\)
−0.632520 + 0.774544i \(0.717979\pi\)
\(368\) −1.08575e10 + 5.22869e9i −0.592023 + 0.285103i
\(369\) −3.18077e7 + 9.09011e7i −0.00171564 + 0.00490302i
\(370\) −5.45922e9 + 1.24603e9i −0.291289 + 0.0664848i
\(371\) −1.15672e10 + 1.45048e10i −0.610564 + 0.765623i
\(372\) 4.59699e9 + 5.76445e9i 0.240050 + 0.301013i
\(373\) 8.23928e9 3.60987e10i 0.425651 1.86490i −0.0718159 0.997418i \(-0.522879\pi\)
0.497467 0.867483i \(-0.334263\pi\)
\(374\) −7.26194e8 + 1.15573e9i −0.0371164 + 0.0590705i
\(375\) −2.01713e9 + 1.79026e10i −0.102002 + 0.905295i
\(376\) 1.15367e10i 0.577206i
\(377\) 1.21936e10 + 2.03916e10i 0.603623 + 1.00945i
\(378\) −8.14898e9 −0.399150
\(379\) −2.22819e9 2.51056e8i −0.107993 0.0121679i 0.0578027 0.998328i \(-0.481591\pi\)
−0.165795 + 0.986160i \(0.553019\pi\)
\(380\) −1.18098e10 7.42057e9i −0.566379 0.355879i
\(381\) 2.62022e10 + 5.98048e9i 1.24348 + 0.283816i
\(382\) 1.07088e10 8.53996e9i 0.502905 0.401054i
\(383\) −3.25196e10 2.59335e10i −1.51130 1.20522i −0.915653 0.401970i \(-0.868326\pi\)
−0.595644 0.803249i \(-0.703103\pi\)
\(384\) 4.76574e9 + 2.08801e10i 0.219182 + 0.960301i
\(385\) −1.81689e9 6.35757e8i −0.0826962 0.0289367i
\(386\) 5.54963e9 + 1.15239e10i 0.249985 + 0.519100i
\(387\) −6.63642e8 + 4.16994e8i −0.0295863 + 0.0185903i
\(388\) 1.23084e10 4.30691e9i 0.543095 0.190037i
\(389\) −6.70607e9 6.70607e9i −0.292867 0.292867i 0.545345 0.838212i \(-0.316399\pi\)
−0.838212 + 0.545345i \(0.816399\pi\)
\(390\) 2.18676e9 4.54086e9i 0.0945243 0.196282i
\(391\) −3.71333e9 3.29567e10i −0.158875 1.41006i
\(392\) −4.39418e9 + 4.95105e8i −0.186094 + 0.0209678i
\(393\) −9.01842e9 4.34304e9i −0.378060 0.182064i
\(394\) −5.14495e9 + 5.14495e9i −0.213499 + 0.213499i
\(395\) 6.57488e9 + 1.87899e10i 0.270085 + 0.771857i
\(396\) −4.79168e7 7.62592e7i −0.00194853 0.00310107i
\(397\) 2.26377e10 1.09018e10i 0.911320 0.438868i 0.0813554 0.996685i \(-0.474075\pi\)
0.829964 + 0.557817i \(0.188361\pi\)
\(398\) 4.08088e9 1.16625e10i 0.162638 0.464792i
\(399\) −3.87628e10 + 8.84735e9i −1.52941 + 0.349077i
\(400\) −7.36688e9 + 9.23778e9i −0.287769 + 0.360851i
\(401\) 2.10046e10 + 2.63390e10i 0.812340 + 1.01864i 0.999342 + 0.0362826i \(0.0115517\pi\)
−0.187001 + 0.982360i \(0.559877\pi\)
\(402\) 1.98010e9 8.67539e9i 0.0758199 0.332188i
\(403\) 7.33219e9 1.16691e10i 0.277980 0.442403i
\(404\) 1.91106e9 1.69611e10i 0.0717378 0.636690i
\(405\) 1.41401e10i 0.525573i
\(406\) −9.53091e9 4.85184e9i −0.350776 0.178567i
\(407\) −6.21504e9 −0.226499
\(408\) −2.49637e10 2.81273e9i −0.900882 0.101505i
\(409\) −1.24847e9 7.84463e8i −0.0446153 0.0280336i 0.509540 0.860447i \(-0.329816\pi\)
−0.554155 + 0.832413i \(0.686959\pi\)
\(410\) 9.20839e8 + 2.10176e8i 0.0325873 + 0.00743784i
\(411\) 2.70909e10 2.16042e10i 0.949413 0.757132i
\(412\) 2.58625e10 + 2.06247e10i 0.897599 + 0.715811i
\(413\) 3.01087e9 + 1.31915e10i 0.103488 + 0.453412i
\(414\) −2.82639e8 9.88997e7i −0.00962124 0.00336662i
\(415\) −1.05780e10 2.19654e10i −0.356624 0.740537i
\(416\) 2.62103e10 1.64690e10i 0.875183 0.549914i
\(417\) 3.12841e10 1.09468e10i 1.03462 0.362028i
\(418\) 1.49784e9 + 1.49784e9i 0.0490637 + 0.0490637i
\(419\) −2.23880e10 + 4.64892e10i −0.726372 + 1.50833i 0.129746 + 0.991547i \(0.458584\pi\)
−0.856118 + 0.516780i \(0.827130\pi\)
\(420\) −1.85632e9 1.64753e10i −0.0596562 0.529464i
\(421\) 1.74652e10 1.96786e9i 0.555963 0.0626420i 0.170487 0.985360i \(-0.445466\pi\)
0.385476 + 0.922718i \(0.374037\pi\)
\(422\) −5.26951e8 2.53766e8i −0.0166158 0.00800173i
\(423\) −5.85417e8 + 5.85417e8i −0.0182854 + 0.0182854i
\(424\) 6.00827e9 + 1.71707e10i 0.185903 + 0.531280i
\(425\) −1.73004e10 2.75334e10i −0.530274 0.843926i
\(426\) −2.56363e9 + 1.23458e9i −0.0778425 + 0.0374870i
\(427\) 4.32227e9 1.23523e10i 0.130017 0.371568i
\(428\) −2.67707e10 + 6.11023e9i −0.797782 + 0.182088i
\(429\) 3.48774e9 4.37348e9i 0.102971 0.129121i
\(430\) 4.79272e9 + 6.00988e9i 0.140187 + 0.175789i
\(431\) 2.83808e9 1.24345e10i 0.0822462 0.360344i −0.917012 0.398860i \(-0.869406\pi\)
0.999258 + 0.0385159i \(0.0122630\pi\)
\(432\) 1.22777e10 1.95398e10i 0.352518 0.561029i
\(433\) −3.05329e9 + 2.70987e10i −0.0868592 + 0.770897i 0.872482 + 0.488647i \(0.162509\pi\)
−0.959341 + 0.282250i \(0.908919\pi\)
\(434\) 6.20348e9i 0.174854i
\(435\) 8.67251e9 1.70362e10i 0.242208 0.475790i
\(436\) −1.48108e9 −0.0409856
\(437\) −5.11458e10 5.76274e9i −1.40244 0.158017i
\(438\) −9.55724e8 6.00521e8i −0.0259679 0.0163167i
\(439\) −7.59813e9 1.73422e9i −0.204573 0.0466925i 0.119006 0.992893i \(-0.462029\pi\)
−0.323579 + 0.946201i \(0.604886\pi\)
\(440\) −1.47569e9 + 1.17682e9i −0.0393717 + 0.0313979i
\(441\) 2.48101e8 + 1.97854e8i 0.00655955 + 0.00523106i
\(442\) 4.88989e9 + 2.14240e10i 0.128118 + 0.561322i
\(443\) 1.23477e10 + 4.32064e9i 0.320605 + 0.112185i 0.485784 0.874079i \(-0.338534\pi\)
−0.165178 + 0.986264i \(0.552820\pi\)
\(444\) −2.32263e10 4.82299e10i −0.597652 1.24104i
\(445\) −2.50329e8 + 1.57292e8i −0.00638369 + 0.00401114i
\(446\) 6.16692e9 2.15790e9i 0.155858 0.0545370i
\(447\) 5.17758e10 + 5.17758e10i 1.29687 + 1.29687i
\(448\) 6.91062e9 1.43501e10i 0.171556 0.356239i
\(449\) −4.90078e9 4.34957e10i −0.120581 1.07019i −0.897630 0.440749i \(-0.854713\pi\)
0.777049 0.629440i \(-0.216716\pi\)
\(450\) −2.91749e8 + 3.28722e7i −0.00711474 + 0.000801639i
\(451\) 9.44511e8 + 4.54852e8i 0.0228297 + 0.0109942i
\(452\) 4.04511e9 4.04511e9i 0.0969119 0.0969119i
\(453\) −1.24880e10 3.56886e10i −0.296551 0.847493i
\(454\) −5.27404e9 8.39359e9i −0.124142 0.197572i
\(455\) −2.79212e10 + 1.34461e10i −0.651461 + 0.313727i
\(456\) −1.28764e10 + 3.67986e10i −0.297807 + 0.851084i
\(457\) −5.40855e10 + 1.23447e10i −1.23998 + 0.283018i −0.791720 0.610884i \(-0.790814\pi\)
−0.448263 + 0.893902i \(0.647957\pi\)
\(458\) −7.03655e9 + 8.82355e9i −0.159918 + 0.200531i
\(459\) 3.95978e10 + 4.96541e10i 0.892114 + 1.11868i
\(460\) 4.77585e9 2.09243e10i 0.106664 0.467327i
\(461\) 2.02046e10 3.21554e10i 0.447349 0.711952i −0.544585 0.838706i \(-0.683313\pi\)
0.991934 + 0.126754i \(0.0404558\pi\)
\(462\) −2.81925e8 + 2.50216e9i −0.00618822 + 0.0549220i
\(463\) 8.66867e9i 0.188638i 0.995542 + 0.0943189i \(0.0300673\pi\)
−0.995542 + 0.0943189i \(0.969933\pi\)
\(464\) 2.59936e10 1.55434e10i 0.560783 0.335331i
\(465\) −1.10885e10 −0.237171
\(466\) −1.03250e10 1.16335e9i −0.218951 0.0246699i
\(467\) 5.92302e10 + 3.72168e10i 1.24530 + 0.782477i 0.983194 0.182562i \(-0.0584389\pi\)
0.262110 + 0.965038i \(0.415582\pi\)
\(468\) −1.41363e9 3.22652e8i −0.0294682 0.00672592i
\(469\) −4.27785e10 + 3.41147e10i −0.884166 + 0.705099i
\(470\) 6.34825e9 + 5.06256e9i 0.130096 + 0.103748i
\(471\) 8.23246e9 + 3.60688e10i 0.167281 + 0.732905i
\(472\) 1.25231e10 + 4.38201e9i 0.252315 + 0.0882887i
\(473\) 3.70179e9 + 7.68685e9i 0.0739550 + 0.153569i
\(474\) 2.20492e10 1.38544e10i 0.436796 0.274457i
\(475\) −4.76323e10 + 1.66673e10i −0.935680 + 0.327409i
\(476\) 5.11161e10 + 5.11161e10i 0.995704 + 0.995704i
\(477\) 5.66422e8 1.17619e9i 0.0109412 0.0227197i
\(478\) −1.64576e9 1.46065e10i −0.0315250 0.279792i
\(479\) −1.76259e10 + 1.98596e9i −0.334818 + 0.0377250i −0.277773 0.960647i \(-0.589596\pi\)
−0.0570450 + 0.998372i \(0.518168\pi\)
\(480\) −2.24397e10 1.08064e10i −0.422720 0.203571i
\(481\) −7.07527e10 + 7.07527e10i −1.32179 + 1.32179i
\(482\) −8.26408e9 2.36174e10i −0.153111 0.437566i
\(483\) −3.25507e10 5.18041e10i −0.598097 0.951866i
\(484\) 4.26072e10 2.05185e10i 0.776428 0.373908i
\(485\) −6.47731e9 + 1.85111e10i −0.117065 + 0.334553i
\(486\) 1.10222e9 2.51574e8i 0.0197570 0.00450941i
\(487\) −2.38887e10 + 2.99554e10i −0.424694 + 0.532549i −0.947438 0.319941i \(-0.896337\pi\)
0.522744 + 0.852490i \(0.324908\pi\)
\(488\) −8.00076e9 1.00326e10i −0.141076 0.176903i
\(489\) −7.73250e9 + 3.38783e10i −0.135234 + 0.592497i
\(490\) 1.65582e9 2.63522e9i 0.0287230 0.0457123i
\(491\) −8.23931e9 + 7.31259e10i −0.141764 + 1.25819i 0.698342 + 0.715764i \(0.253921\pi\)
−0.840106 + 0.542423i \(0.817507\pi\)
\(492\) 9.02941e9i 0.154099i
\(493\) 1.67493e10 + 8.16508e10i 0.283536 + 1.38221i
\(494\) 3.41031e10 0.572646
\(495\) 1.34598e8 + 1.51656e7i 0.00224192 + 0.000252603i
\(496\) −1.48748e10 9.34649e9i −0.245768 0.154426i
\(497\) 1.70574e10 + 3.89325e9i 0.279569 + 0.0638097i
\(498\) −2.49336e10 + 1.98839e10i −0.405386 + 0.323284i
\(499\) −1.88799e10 1.50562e10i −0.304508 0.242837i 0.459299 0.888282i \(-0.348101\pi\)
−0.763807 + 0.645445i \(0.776672\pi\)
\(500\) −1.13115e10 4.95591e10i −0.180985 0.792946i
\(501\) 9.05618e10 + 3.16889e10i 1.43745 + 0.502987i
\(502\) −9.89831e9 2.05541e10i −0.155864 0.323655i
\(503\) 8.56166e10 5.37965e10i 1.33748 0.840392i 0.342405 0.939553i \(-0.388759\pi\)
0.995071 + 0.0991605i \(0.0316157\pi\)
\(504\) 1.31641e9 4.60633e8i 0.0204019 0.00713893i
\(505\) 1.81513e10 + 1.81513e10i 0.279088 + 0.279088i
\(506\) −1.41427e9 + 2.93677e9i −0.0215740 + 0.0447990i
\(507\) −2.79434e9 2.48004e10i −0.0422909 0.375342i
\(508\) −7.53568e10 + 8.49067e9i −1.13153 + 0.127493i
\(509\) 3.56438e9 + 1.71651e9i 0.0531022 + 0.0255727i 0.460246 0.887791i \(-0.347761\pi\)
−0.407144 + 0.913364i \(0.633475\pi\)
\(510\) 1.25023e10 1.25023e10i 0.184804 0.184804i
\(511\) 2.29228e9 + 6.55096e9i 0.0336189 + 0.0960774i
\(512\) −3.65715e10 5.82033e10i −0.532186 0.846969i
\(513\) 8.88008e10 4.27642e10i 1.28218 0.617463i
\(514\) 8.26536e9 2.36210e10i 0.118416 0.338413i
\(515\) −4.85020e10 + 1.10703e10i −0.689495 + 0.157373i
\(516\) −4.58174e10 + 5.74532e10i −0.646296 + 0.810429i
\(517\) 5.61896e9 + 7.04595e9i 0.0786491 + 0.0986229i
\(518\) 1.00223e10 4.39107e10i 0.139203 0.609889i
\(519\) 3.79285e10 6.03628e10i 0.522752 0.831955i
\(520\) −3.40232e9 + 3.01965e10i −0.0465331 + 0.412993i
\(521\) 1.31773e11i 1.78844i −0.447623 0.894222i \(-0.647729\pi\)
0.447623 0.894222i \(-0.352271\pi\)
\(522\) 7.29817e8 + 1.83613e8i 0.00982952 + 0.00247299i
\(523\) −1.22419e11 −1.63623 −0.818113 0.575057i \(-0.804980\pi\)
−0.818113 + 0.575057i \(0.804980\pi\)
\(524\) 2.80658e10 + 3.16226e9i 0.372265 + 0.0419442i
\(525\) −5.07924e10 3.19150e10i −0.668593 0.420105i
\(526\) 2.49865e10 + 5.70300e9i 0.326409 + 0.0745008i
\(527\) 3.77996e10 3.01442e10i 0.490055 0.390806i
\(528\) −5.57496e9 4.44588e9i −0.0717309 0.0572035i
\(529\) −1.97978e8 8.67398e8i −0.00252810 0.0110763i
\(530\) −1.20850e10 4.22871e9i −0.153159 0.0535926i
\(531\) −4.13108e8 8.57827e8i −0.00519619 0.0107900i
\(532\) 9.49906e10 5.96865e10i 1.18586 0.745126i
\(533\) 1.59305e10 5.57432e9i 0.197388 0.0690690i
\(534\) 2.73463e8 + 2.73463e8i 0.00336305 + 0.00336305i
\(535\) 1.79180e10 3.72071e10i 0.218713 0.454162i
\(536\) 6.00708e9 + 5.33143e10i 0.0727787 + 0.645929i
\(537\) −6.23561e10 + 7.02584e9i −0.749862 + 0.0844892i
\(538\) −4.53008e10 2.18157e10i −0.540726 0.260400i
\(539\) 2.44257e9 2.44257e9i 0.0289395 0.0289395i
\(540\) 1.35743e10 + 3.87932e10i 0.159641 + 0.456227i
\(541\) −8.65826e10 1.37795e11i −1.01074 1.60859i −0.770043 0.637992i \(-0.779765\pi\)
−0.240702 0.970599i \(-0.577378\pi\)
\(542\) −3.05403e10 + 1.47074e10i −0.353897 + 0.170428i
\(543\) 1.04988e10 3.00040e10i 0.120765 0.345127i
\(544\) 1.05872e11 2.41646e10i 1.20889 0.275920i
\(545\) 1.38879e9 1.74149e9i 0.0157416 0.0197394i
\(546\) 2.52753e10 + 3.16943e10i 0.284398 + 0.356624i
\(547\) 3.87586e10 1.69813e11i 0.432931 1.89680i −0.00942184 0.999956i \(-0.502999\pi\)
0.442353 0.896841i \(-0.354144\pi\)
\(548\) −5.20168e10 + 8.27843e10i −0.576795 + 0.917964i
\(549\) −1.03105e8 + 9.15083e8i −0.00113499 + 0.0100733i
\(550\) 3.19591e9i 0.0349256i
\(551\) 1.29321e11 + 2.85501e9i 1.40302 + 0.0309743i
\(552\) −5.99920e10 −0.646156
\(553\) −1.59113e11 1.79278e10i −1.70140 0.191702i
\(554\) 1.70127e10 + 1.06898e10i 0.180607 + 0.113483i
\(555\) 7.84889e10 + 1.79146e10i 0.827249 + 0.188814i
\(556\) −7.31164e10 + 5.83084e10i −0.765095 + 0.610143i
\(557\) 1.46445e11 + 1.16786e11i 1.52144 + 1.21331i 0.904635 + 0.426188i \(0.140144\pi\)
0.616803 + 0.787118i \(0.288428\pi\)
\(558\) −9.71349e7 4.25576e8i −0.00100193 0.00438975i
\(559\) 1.29649e11 + 4.53663e10i 1.32777 + 0.464607i
\(560\) 1.71401e10 + 3.55917e10i 0.174285 + 0.361907i
\(561\) 1.66163e10 1.04407e10i 0.167758 0.105409i
\(562\) 3.92732e10 1.37423e10i 0.393687 0.137757i
\(563\) −1.50054e10 1.50054e10i −0.149353 0.149353i 0.628476 0.777829i \(-0.283679\pi\)
−0.777829 + 0.628476i \(0.783679\pi\)
\(564\) −3.36792e10 + 6.99357e10i −0.332848 + 0.691166i
\(565\) 9.63286e8 + 8.54940e9i 0.00945282 + 0.0838961i
\(566\) 1.41278e10 1.59183e9i 0.137661 0.0155106i
\(567\) 1.02471e11 + 4.93476e10i 0.991448 + 0.477456i
\(568\) 1.21310e10 1.21310e10i 0.116548 0.116548i
\(569\) 1.36102e9 + 3.88958e9i 0.0129842 + 0.0371068i 0.950193 0.311662i \(-0.100886\pi\)
−0.937209 + 0.348769i \(0.886600\pi\)
\(570\) −1.45986e10 2.32335e10i −0.138296 0.220097i
\(571\) −1.76512e11 + 8.50038e10i −1.66047 + 0.799639i −0.661713 + 0.749757i \(0.730170\pi\)
−0.998755 + 0.0498820i \(0.984115\pi\)
\(572\) −5.21305e9 + 1.48980e10i −0.0486976 + 0.139170i
\(573\) −1.91989e11 + 4.38203e10i −1.78098 + 0.406496i
\(574\) −4.73674e9 + 5.93969e9i −0.0436347 + 0.0547162i
\(575\) −4.84164e10 6.07123e10i −0.442916 0.555399i
\(576\) −2.49393e8 + 1.09266e9i −0.00226566 + 0.00992649i
\(577\) −8.93323e10 + 1.42172e11i −0.805945 + 1.28265i 0.149876 + 0.988705i \(0.452112\pi\)
−0.955821 + 0.293949i \(0.905030\pi\)
\(578\) −4.29600e9 + 3.81280e10i −0.0384904 + 0.341612i
\(579\) 1.83894e11i 1.63626i
\(580\) −7.22087e9 + 5.34540e10i −0.0638084 + 0.472355i
\(581\) 1.96096e11 1.72093
\(582\) 2.54928e10 + 2.87235e9i 0.222191 + 0.0250349i
\(583\) −1.20325e10 7.56050e9i −0.104155 0.0654450i
\(584\) 6.63484e9 + 1.51436e9i 0.0570399 + 0.0130190i
\(585\) 1.70493e9 1.35964e9i 0.0145574 0.0116091i
\(586\) −2.10110e10 1.67557e10i −0.178178 0.142093i
\(587\) −1.64109e10 7.19011e10i −0.138223 0.605596i −0.995825 0.0912816i \(-0.970904\pi\)
0.857602 0.514314i \(-0.171953\pi\)
\(588\) 2.80829e10 + 9.82664e9i 0.234927 + 0.0822045i
\(589\) −3.25546e10 6.76004e10i −0.270490 0.561679i
\(590\) −7.90665e9 + 4.96808e9i −0.0652506 + 0.0409997i
\(591\) 9.87398e10 3.45505e10i 0.809361 0.283208i
\(592\) 9.01899e10 + 9.01899e10i 0.734296 + 0.734296i
\(593\) −2.59921e9 + 5.39732e9i −0.0210195 + 0.0436475i −0.911214 0.411933i \(-0.864854\pi\)
0.890195 + 0.455580i \(0.150568\pi\)
\(594\) −6.98874e8 6.20268e9i −0.00561375 0.0498234i
\(595\) −1.08035e11 + 1.21726e10i −0.861976 + 0.0971213i
\(596\) −1.86143e11 8.96419e10i −1.47524 0.710438i
\(597\) −1.25613e11 + 1.25613e11i −0.988866 + 0.988866i
\(598\) 1.73323e10 + 4.95328e10i 0.135535 + 0.387336i
\(599\) −5.57164e10 8.86721e10i −0.432789 0.688779i 0.557129 0.830426i \(-0.311903\pi\)
−0.989917 + 0.141647i \(0.954760\pi\)
\(600\) −5.29954e10 + 2.55212e10i −0.408915 + 0.196923i
\(601\) −3.86682e9 + 1.10507e10i −0.0296385 + 0.0847019i −0.957752 0.287595i \(-0.907144\pi\)
0.928114 + 0.372297i \(0.121430\pi\)
\(602\) −6.02788e10 + 1.37582e10i −0.458964 + 0.104755i
\(603\) 2.40055e9 3.01019e9i 0.0181569 0.0227680i
\(604\) 6.65176e10 + 8.34104e10i 0.499791 + 0.626718i
\(605\) −1.58261e10 + 6.93385e10i −0.118128 + 0.517551i
\(606\) 1.78650e10 2.84320e10i 0.132469 0.210823i
\(607\) 4.48303e9 3.97879e10i 0.0330230 0.293087i −0.966336 0.257284i \(-0.917172\pi\)
0.999359 0.0358033i \(-0.0113990\pi\)
\(608\) 1.68529e11i 1.23327i
\(609\) 9.31925e10 + 1.22303e11i 0.677504 + 0.889135i
\(610\) 9.03152e9 0.0652291
\(611\) 1.44179e11 + 1.62450e10i 1.03451 + 0.116562i
\(612\) −4.30709e9 2.70632e9i −0.0307028 0.0192919i
\(613\) 2.50589e11 + 5.71953e10i 1.77468 + 0.405059i 0.979521 0.201344i \(-0.0645308\pi\)
0.795158 + 0.606402i \(0.207388\pi\)
\(614\) −6.03996e10 + 4.81671e10i −0.424972 + 0.338904i
\(615\) −1.06170e10 8.46678e9i −0.0742167 0.0591858i
\(616\) −3.37825e9 1.48011e10i −0.0234622 0.102795i
\(617\) 8.99665e10 + 3.14806e10i 0.620783 + 0.217222i 0.622302 0.782777i \(-0.286198\pi\)
−0.00151845 + 0.999999i \(0.500483\pi\)
\(618\) 2.82361e10 + 5.86328e10i 0.193575 + 0.401964i
\(619\) 2.87347e9 1.80552e9i 0.0195724 0.0122982i −0.522210 0.852817i \(-0.674892\pi\)
0.541783 + 0.840519i \(0.317750\pi\)
\(620\) 2.95317e10 1.03336e10i 0.199858 0.0699333i
\(621\) 1.07244e11 + 1.07244e11i 0.721117 + 0.721117i
\(622\) −1.12434e10 + 2.33472e10i −0.0751169 + 0.155982i
\(623\) −2.66250e8 2.36303e9i −0.00176741 0.0156862i
\(624\) −1.14078e11 + 1.28535e10i −0.752428 + 0.0847783i
\(625\) −2.82316e10 1.35956e10i −0.185019 0.0891003i
\(626\) −5.16222e9 + 5.16222e9i −0.0336155 + 0.0336155i
\(627\) −1.00586e10 2.87459e10i −0.0650832 0.185997i
\(628\) −5.55384e10 8.83888e10i −0.357071 0.568275i
\(629\) −3.16261e11 + 1.52303e11i −2.02043 + 0.972987i
\(630\) −3.24201e8 + 9.26512e8i −0.00205803 + 0.00588151i
\(631\) −8.14427e10 + 1.85888e10i −0.513730 + 0.117256i −0.471524 0.881853i \(-0.656296\pi\)
−0.0422063 + 0.999109i \(0.513439\pi\)
\(632\) −9.78919e10 + 1.22753e11i −0.613590 + 0.769418i
\(633\) 5.24285e9 + 6.57433e9i 0.0326552 + 0.0409483i
\(634\) −2.44317e10 + 1.07042e11i −0.151216 + 0.662519i
\(635\) 6.06777e10 9.65680e10i 0.373193 0.593934i
\(636\) 1.37043e10 1.21629e11i 0.0837581 0.743374i
\(637\) 5.56129e10i 0.337767i
\(638\) 2.87564e9 7.67065e9i 0.0173561 0.0462967i
\(639\) −1.23115e9 −0.00738426
\(640\) 9.03121e10 + 1.01757e10i 0.538302 + 0.0606521i
\(641\) 1.79312e11 + 1.12669e11i 1.06213 + 0.667381i 0.945443 0.325788i \(-0.105630\pi\)
0.116687 + 0.993169i \(0.462772\pi\)
\(642\) −5.26662e10 1.20207e10i −0.310021 0.0707603i
\(643\) 2.40550e10 1.91832e10i 0.140722 0.112222i −0.550599 0.834770i \(-0.685601\pi\)
0.691321 + 0.722548i \(0.257029\pi\)
\(644\) 1.34968e11 + 1.07634e11i 0.784672 + 0.625755i
\(645\) −2.45924e10 1.07746e11i −0.142090 0.622535i
\(646\) 1.12925e11 + 3.95142e10i 0.648426 + 0.226894i
\(647\) −1.21591e11 2.52487e11i −0.693881 1.44086i −0.887983 0.459877i \(-0.847894\pi\)
0.194102 0.980981i \(-0.437821\pi\)
\(648\) 9.44290e10 5.93337e10i 0.535557 0.336513i
\(649\) −9.78261e9 + 3.42308e9i −0.0551412 + 0.0192947i
\(650\) 3.63826e10 + 3.63826e10i 0.203817 + 0.203817i
\(651\) 3.86978e10 8.03568e10i 0.215458 0.447403i
\(652\) −1.09781e10 9.74330e10i −0.0607485 0.539158i
\(653\) −8.82646e10 + 9.94503e9i −0.485438 + 0.0546957i −0.351292 0.936266i \(-0.614258\pi\)
−0.134146 + 0.990962i \(0.542829\pi\)
\(654\) −2.62518e9 1.26422e9i −0.0143499 0.00691055i
\(655\) −3.00352e10 + 3.00352e10i −0.163180 + 0.163180i
\(656\) −7.10570e9 2.03069e10i −0.0383700 0.109655i
\(657\) −2.59832e8 4.13521e8i −0.00139454 0.00221940i
\(658\) −5.88423e10 + 2.83370e10i −0.313896 + 0.151164i
\(659\) 2.86174e10 8.17839e10i 0.151736 0.433637i −0.842775 0.538266i \(-0.819080\pi\)
0.994511 + 0.104629i \(0.0333655\pi\)
\(660\) 1.23811e10 2.82592e9i 0.0652507 0.0148930i
\(661\) 9.72707e10 1.21974e11i 0.509537 0.638940i −0.458813 0.888533i \(-0.651725\pi\)
0.968351 + 0.249593i \(0.0802968\pi\)
\(662\) −4.17624e10 5.23684e10i −0.217447 0.272670i
\(663\) 7.03035e10 3.08020e11i 0.363850 1.59413i
\(664\) 1.02300e11 1.62810e11i 0.526266 0.837547i
\(665\) −1.88907e10 + 1.67660e11i −0.0965966 + 0.857318i
\(666\) 3.16932e9i 0.0161090i
\(667\) 6.15784e10 + 1.89283e11i 0.311118 + 0.956330i
\(668\) −2.70722e11 −1.35962
\(669\) −9.33444e10 1.05174e10i −0.465998 0.0525053i
\(670\) −3.19730e10 2.00900e10i −0.158666 0.0996966i
\(671\) 9.77280e9 + 2.23058e9i 0.0482091 + 0.0110034i
\(672\) 1.56625e11 1.24904e11i 0.768039 0.612490i
\(673\) −2.95214e11 2.35425e11i −1.43905 1.14761i −0.963432 0.267955i \(-0.913652\pi\)
−0.475620 0.879651i \(-0.657776\pi\)
\(674\) −2.68312e10 1.17555e11i −0.130017 0.569643i
\(675\) 1.40359e11 + 4.91137e10i 0.676122 + 0.236585i
\(676\) 3.05540e10 + 6.34461e10i 0.146313 + 0.303821i
\(677\) 1.57250e11 9.88067e10i 0.748576 0.470362i −0.102942 0.994687i \(-0.532825\pi\)
0.851518 + 0.524326i \(0.175683\pi\)
\(678\) 1.06227e10 3.71706e9i 0.0502710 0.0175906i
\(679\) −1.11542e11 1.11542e11i −0.524758 0.524758i
\(680\) −4.62537e10 + 9.60469e10i −0.216327 + 0.449208i
\(681\) 1.59575e10 + 1.41626e11i 0.0741951 + 0.658500i
\(682\) −4.72184e9 + 5.32024e8i −0.0218260 + 0.00245920i
\(683\) 1.43079e11 + 6.89033e10i 0.657497 + 0.316634i 0.732717 0.680533i \(-0.238252\pi\)
−0.0752206 + 0.997167i \(0.523966\pi\)
\(684\) −5.58204e9 + 5.58204e9i −0.0255017 + 0.0255017i
\(685\) −4.85642e10 1.38788e11i −0.220574 0.630364i
\(686\) −3.30586e10 5.26124e10i −0.149275 0.237570i
\(687\) 1.46190e11 7.04014e10i 0.656282 0.316049i
\(688\) 5.78293e10 1.65267e11i 0.258104 0.737618i
\(689\) −2.23048e11 + 5.09094e10i −0.989743 + 0.225902i
\(690\) 2.63258e10 3.30115e10i 0.116141 0.145636i
\(691\) 1.90628e10 + 2.39040e10i 0.0836133 + 0.104848i 0.821879 0.569663i \(-0.192926\pi\)
−0.738265 + 0.674510i \(0.764355\pi\)
\(692\) −4.47605e10 + 1.96108e11i −0.195196 + 0.855208i
\(693\) −5.79638e8 + 9.22488e8i −0.00251318 + 0.00399970i
\(694\) 2.66552e9 2.36572e10i 0.0114906 0.101982i
\(695\) 1.40647e11i 0.602825i
\(696\) 1.50160e11 1.35702e10i 0.639908 0.0578294i
\(697\) 5.92092e10 0.250875
\(698\) 6.99955e9 + 7.88660e8i 0.0294882 + 0.00332252i
\(699\) 1.26488e11 + 7.94777e10i 0.529835 + 0.332918i
\(700\) 1.65016e11 + 3.76638e10i 0.687280 + 0.156867i
\(701\) −1.97529e11 + 1.57524e11i −0.818010 + 0.652341i −0.940373 0.340144i \(-0.889524\pi\)
0.122363 + 0.992485i \(0.460953\pi\)
\(702\) −7.85680e10 6.26559e10i −0.323517 0.257996i
\(703\) 1.21220e11 + 5.31098e11i 0.496308 + 2.17447i
\(704\) 1.15154e10 + 4.02940e9i 0.0468800 + 0.0164040i
\(705\) −5.06514e10 1.05179e11i −0.205038 0.425767i
\(706\) 2.42590e10 1.52429e10i 0.0976459 0.0613550i
\(707\) −1.94886e11 + 6.81935e10i −0.780014 + 0.272939i
\(708\) −6.31224e10 6.31224e10i −0.251218 0.251218i
\(709\) −1.91782e11 + 3.98239e11i −0.758965 + 1.57601i 0.0573179 + 0.998356i \(0.481745\pi\)
−0.816283 + 0.577652i \(0.803969\pi\)
\(710\) 1.35192e9 + 1.19986e10i 0.00532008 + 0.0472170i
\(711\) 1.11963e10 1.26152e9i 0.0438125 0.00493648i
\(712\) −2.10082e9 1.01170e9i −0.00817466 0.00393671i
\(713\) 8.16403e10 8.16403e10i 0.315898 0.315898i
\(714\) 4.69707e10 + 1.34234e11i 0.180731 + 0.516501i
\(715\) −1.26293e10 2.00993e10i −0.0483230 0.0769055i
\(716\) 1.59523e11 7.68224e10i 0.606977 0.292305i
\(717\) −6.97983e10 + 1.99472e11i −0.264100 + 0.754754i
\(718\) −1.62071e10 + 3.69916e9i −0.0609827 + 0.0139189i
\(719\) −1.15510e10 + 1.44845e10i −0.0432219 + 0.0541985i −0.802973 0.596016i \(-0.796750\pi\)
0.759751 + 0.650214i \(0.225321\pi\)
\(720\) −1.73315e9 2.17331e9i −0.00644922 0.00808707i
\(721\) 8.90425e10 3.90121e11i 0.329501 1.44364i
\(722\) 4.86241e10 7.73848e10i 0.178938 0.284778i
\(723\) −4.02783e10 + 3.57480e11i −0.147407 + 1.30827i
\(724\) 8.96926e10i 0.326439i
\(725\) 1.34920e11 + 1.41011e11i 0.488341 + 0.510390i
\(726\) 9.30348e10 0.334888
\(727\) 5.05089e8 + 5.69099e7i 0.00180813 + 0.000203728i 0.112868 0.993610i \(-0.463996\pi\)
−0.111060 + 0.993814i \(0.535425\pi\)
\(728\) −2.06955e11 1.30039e11i −0.736803 0.462964i
\(729\) −2.82916e11 6.45737e10i −1.00172 0.228637i
\(730\) −3.74481e9 + 2.98638e9i −0.0131868 + 0.0105161i
\(731\) 3.76742e11 + 3.00441e11i 1.31939 + 1.05218i
\(732\) 1.92123e10 + 8.41747e10i 0.0669168 + 0.293182i
\(733\) −1.30386e11 4.56241e10i −0.451664 0.158044i 0.0948546 0.995491i \(-0.469761\pi\)
−0.546518 + 0.837447i \(0.684047\pi\)
\(734\) −2.79024e10 5.79400e10i −0.0961297 0.199615i
\(735\) −3.78874e10 + 2.38062e10i −0.129821 + 0.0815721i
\(736\) 2.44778e11 8.56515e10i 0.834182 0.291893i
\(737\) −2.96355e10 2.96355e10i −0.100448 0.100448i
\(738\) 2.31949e8 4.81648e8i 0.000781929 0.00162369i
\(739\) −1.07825e10 9.56971e10i −0.0361527 0.320864i −0.998752 0.0499363i \(-0.984098\pi\)
0.962600 0.270928i \(-0.0873304\pi\)
\(740\) −2.25732e11 + 2.54339e10i −0.752776 + 0.0848175i
\(741\) −4.41755e11 2.12738e11i −1.46524 0.705622i
\(742\) 7.28201e10 7.28201e10i 0.240235 0.240235i
\(743\) −1.03066e11 2.94547e11i −0.338191 0.966494i −0.979890 0.199538i \(-0.936056\pi\)
0.641699 0.766956i \(-0.278230\pi\)
\(744\) −4.65288e10 7.40502e10i −0.151855 0.241677i
\(745\) 2.79948e11 1.34816e11i 0.908766 0.437638i
\(746\) −6.78842e10 + 1.94002e11i −0.219186 + 0.626398i
\(747\) −1.34527e10 + 3.07050e9i −0.0432044 + 0.00986112i
\(748\) −3.45237e10 + 4.32914e10i −0.110284 + 0.138291i
\(749\) 2.07102e11 + 2.59698e11i 0.658047 + 0.825165i
\(750\) 2.22533e10 9.74981e10i 0.0703314 0.308142i
\(751\) −1.48578e11 + 2.36461e11i −0.467084 + 0.743360i −0.994328 0.106353i \(-0.966083\pi\)
0.527244 + 0.849714i \(0.323225\pi\)
\(752\) 2.07079e10 1.83787e11i 0.0647536 0.574704i
\(753\) 3.27993e11i 1.02020i
\(754\) −5.45870e10 1.20060e11i −0.168890 0.371461i
\(755\) −1.60449e11 −0.493797
\(756\) −3.28502e11 3.70132e10i −1.00566 0.113310i
\(757\) 1.46491e10 + 9.20462e9i 0.0446094 + 0.0280299i 0.554152 0.832415i \(-0.313043\pi\)
−0.509543 + 0.860445i \(0.670185\pi\)
\(758\) 1.21348e10 + 2.76969e9i 0.0367583 + 0.00838985i
\(759\) 3.66396e10 2.92191e10i 0.110404 0.0880441i
\(760\) 1.29346e11 + 1.03150e11i 0.387702 + 0.309182i
\(761\) −2.76800e10 1.21274e11i −0.0825331 0.361601i 0.916750 0.399462i \(-0.130803\pi\)
−0.999283 + 0.0378605i \(0.987946\pi\)
\(762\) −1.40816e11