Properties

Label 13.7.f.a.11.1
Level 13
Weight 7
Character 13.11
Analytic conductor 2.991
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 13 \)
Weight: \( k \) = \( 7 \)
Character orbit: \([\chi]\) = 13.f (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.99070308706\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(6\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) = 13.11
Dual form 13.7.f.a.6.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.92596 + 10.9198i) q^{2} +(14.1081 + 24.4359i) q^{3} +(-55.2556 - 31.9018i) q^{4} +(-47.2751 - 47.2751i) q^{5} +(-308.115 + 82.5592i) q^{6} +(27.7639 + 103.616i) q^{7} +(-1.56966 + 1.56966i) q^{8} +(-33.5751 + 58.1539i) q^{9} +O(q^{10})\) \(q+(-2.92596 + 10.9198i) q^{2} +(14.1081 + 24.4359i) q^{3} +(-55.2556 - 31.9018i) q^{4} +(-47.2751 - 47.2751i) q^{5} +(-308.115 + 82.5592i) q^{6} +(27.7639 + 103.616i) q^{7} +(-1.56966 + 1.56966i) q^{8} +(-33.5751 + 58.1539i) q^{9} +(654.560 - 377.911i) q^{10} +(2246.66 + 601.991i) q^{11} -1800.29i q^{12} +(-980.172 + 1966.23i) q^{13} -1212.71 q^{14} +(488.249 - 1822.17i) q^{15} +(-2054.26 - 3558.09i) q^{16} +(2976.88 + 1718.70i) q^{17} +(-536.790 - 536.790i) q^{18} +(-4738.10 + 1269.57i) q^{19} +(1104.05 + 4120.37i) q^{20} +(-2140.26 + 2140.26i) q^{21} +(-13147.3 + 22771.7i) q^{22} +(16806.1 - 9702.98i) q^{23} +(-60.5009 - 16.2112i) q^{24} -11155.1i q^{25} +(-18603.0 - 16456.4i) q^{26} +18674.8 q^{27} +(1771.44 - 6611.09i) q^{28} +(-14053.0 - 24340.6i) q^{29} +(18469.2 + 10663.2i) q^{30} +(-954.688 - 954.688i) q^{31} +(44727.2 - 11984.6i) q^{32} +(16985.9 + 63392.1i) q^{33} +(-27478.1 + 27478.1i) q^{34} +(3585.93 - 6211.01i) q^{35} +(3710.43 - 2142.22i) q^{36} +(-5811.31 - 1557.13i) q^{37} -55453.9i q^{38} +(-61875.0 + 3788.38i) q^{39} +148.412 q^{40} +(-16034.2 + 59840.5i) q^{41} +(-17108.9 - 29633.6i) q^{42} +(-45726.2 - 26400.0i) q^{43} +(-104936. - 104936. i) q^{44} +(4336.50 - 1161.96i) q^{45} +(56781.0 + 211910. i) q^{46} +(-28376.8 + 28376.8i) q^{47} +(57963.4 - 100396. i) q^{48} +(91921.5 - 53070.9i) q^{49} +(121812. + 32639.4i) q^{50} +96990.3i q^{51} +(116886. - 77376.1i) q^{52} +40388.8 q^{53} +(-54641.8 + 203926. i) q^{54} +(-77752.0 - 134670. i) q^{55} +(-206.222 - 119.062i) q^{56} +(-97868.6 - 97868.6i) q^{57} +(306913. - 82237.2i) q^{58} +(-96979.0 - 361931. i) q^{59} +(-85109.0 + 85109.0i) q^{60} +(-46992.2 + 81392.9i) q^{61} +(13218.4 - 7631.65i) q^{62} +(-6957.86 - 1864.35i) q^{63} +260533. i q^{64} +(139292. - 46616.1i) q^{65} -741931. q^{66} +(-92503.3 + 345227. i) q^{67} +(-109659. - 189936. i) q^{68} +(474202. + 273781. i) q^{69} +(57330.8 + 57330.8i) q^{70} +(-288019. + 77174.4i) q^{71} +(-38.5802 - 143.983i) q^{72} +(197517. - 197517. i) q^{73} +(34007.3 - 58902.3i) q^{74} +(272586. - 157377. i) q^{75} +(302308. + 81003.2i) q^{76} +249504. i q^{77} +(139675. - 686748. i) q^{78} -757842. q^{79} +(-71093.5 + 265325. i) q^{80} +(287942. + 498731. i) q^{81} +(-606532. - 350182. i) q^{82} +(121193. + 121193. i) q^{83} +(186540. - 49983.1i) q^{84} +(-59480.5 - 221984. i) q^{85} +(422076. - 422076. i) q^{86} +(396523. - 686797. i) q^{87} +(-4471.42 + 2581.57i) q^{88} +(1.33896e6 + 358773. i) q^{89} +50753.6i q^{90} +(-230947. - 46971.4i) q^{91} -1.23817e6 q^{92} +(9859.85 - 36797.5i) q^{93} +(-226840. - 392899. i) q^{94} +(284013. + 163975. i) q^{95} +(923868. + 923868. i) q^{96} +(-242065. + 64861.2i) q^{97} +(310566. + 1.15905e6i) q^{98} +(-110440. + 110440. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + O(q^{10}) \) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + 4674q^{10} + 228q^{11} - 1552q^{13} - 14616q^{14} + 7486q^{15} - 2138q^{16} + 20898q^{17} - 5630q^{18} - 14036q^{19} - 14634q^{20} - 314q^{21} + 37852q^{22} + 29634q^{23} + 47154q^{24} + 510q^{26} - 107060q^{27} - 40572q^{28} + 1026q^{29} - 247734q^{30} - 118116q^{31} + 180876q^{32} + 306046q^{33} + 101898q^{34} + 104862q^{35} + 105066q^{36} - 31470q^{37} + 28510q^{39} - 275328q^{40} - 357216q^{41} - 25636q^{42} - 480486q^{43} - 797712q^{44} + 464248q^{45} + 1012050q^{46} + 140028q^{47} + 676102q^{48} + 854562q^{49} + 756714q^{50} - 771704q^{52} - 1397076q^{53} - 1271048q^{54} - 205490q^{55} - 1461108q^{56} - 1483394q^{57} + 1133806q^{58} + 1568052q^{59} + 886808q^{60} + 768676q^{61} + 3741966q^{62} + 1336264q^{63} - 946968q^{65} - 5076928q^{66} - 1489892q^{67} - 569052q^{68} - 1475766q^{69} - 2626556q^{70} + 2136948q^{71} + 4787052q^{72} + 326326q^{73} + 2159718q^{74} + 3466008q^{75} + 1522158q^{76} - 1573544q^{78} - 1734344q^{79} - 5214300q^{80} - 773072q^{81} - 3540426q^{82} - 3642132q^{83} + 2952364q^{84} + 3509916q^{85} - 132324q^{86} + 531698q^{87} + 4478052q^{88} + 632754q^{89} - 2946788q^{91} - 1656060q^{92} - 295514q^{93} + 1552210q^{94} - 2753718q^{95} - 3979208q^{96} + 2258214q^{97} + 4984308q^{98} + 4336480q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.92596 + 10.9198i −0.365745 + 1.36498i 0.500664 + 0.865642i \(0.333089\pi\)
−0.866409 + 0.499336i \(0.833577\pi\)
\(3\) 14.1081 + 24.4359i 0.522521 + 0.905033i 0.999657 + 0.0262033i \(0.00834172\pi\)
−0.477136 + 0.878830i \(0.658325\pi\)
\(4\) −55.2556 31.9018i −0.863368 0.498466i
\(5\) −47.2751 47.2751i −0.378201 0.378201i 0.492252 0.870453i \(-0.336174\pi\)
−0.870453 + 0.492252i \(0.836174\pi\)
\(6\) −308.115 + 82.5592i −1.42646 + 0.382218i
\(7\) 27.7639 + 103.616i 0.0809443 + 0.302088i 0.994515 0.104591i \(-0.0333534\pi\)
−0.913571 + 0.406679i \(0.866687\pi\)
\(8\) −1.56966 + 1.56966i −0.00306574 + 0.00306574i
\(9\) −33.5751 + 58.1539i −0.0460564 + 0.0797721i
\(10\) 654.560 377.911i 0.654560 0.377911i
\(11\) 2246.66 + 601.991i 1.68795 + 0.452285i 0.969860 0.243664i \(-0.0783494\pi\)
0.718091 + 0.695949i \(0.245016\pi\)
\(12\) 1800.29i 1.04184i
\(13\) −980.172 + 1966.23i −0.446141 + 0.894963i
\(14\) −1212.71 −0.441948
\(15\) 488.249 1822.17i 0.144666 0.539902i
\(16\) −2054.26 3558.09i −0.501529 0.868674i
\(17\) 2976.88 + 1718.70i 0.605919 + 0.349827i 0.771367 0.636391i \(-0.219574\pi\)
−0.165448 + 0.986219i \(0.552907\pi\)
\(18\) −536.790 536.790i −0.0920422 0.0920422i
\(19\) −4738.10 + 1269.57i −0.690786 + 0.185096i −0.587100 0.809514i \(-0.699730\pi\)
−0.103686 + 0.994610i \(0.533064\pi\)
\(20\) 1104.05 + 4120.37i 0.138006 + 0.515047i
\(21\) −2140.26 + 2140.26i −0.231105 + 0.231105i
\(22\) −13147.3 + 22771.7i −1.23472 + 2.13859i
\(23\) 16806.1 9702.98i 1.38128 0.797483i 0.388970 0.921250i \(-0.372831\pi\)
0.992311 + 0.123767i \(0.0394975\pi\)
\(24\) −60.5009 16.2112i −0.00437651 0.00117268i
\(25\) 11155.1i 0.713928i
\(26\) −18603.0 16456.4i −1.05843 0.936300i
\(27\) 18674.8 0.948780
\(28\) 1771.44 6611.09i 0.0806959 0.301161i
\(29\) −14053.0 24340.6i −0.576204 0.998015i −0.995910 0.0903546i \(-0.971200\pi\)
0.419705 0.907660i \(-0.362133\pi\)
\(30\) 18469.2 + 10663.2i 0.684043 + 0.394932i
\(31\) −954.688 954.688i −0.0320462 0.0320462i 0.690902 0.722948i \(-0.257214\pi\)
−0.722948 + 0.690902i \(0.757214\pi\)
\(32\) 44727.2 11984.6i 1.36496 0.365741i
\(33\) 16985.9 + 63392.1i 0.472657 + 1.76398i
\(34\) −27478.1 + 27478.1i −0.699118 + 0.699118i
\(35\) 3585.93 6211.01i 0.0836368 0.144863i
\(36\) 3710.43 2142.22i 0.0795274 0.0459151i
\(37\) −5811.31 1557.13i −0.114728 0.0307412i 0.200998 0.979592i \(-0.435581\pi\)
−0.315726 + 0.948850i \(0.602248\pi\)
\(38\) 55453.9i 1.01061i
\(39\) −61875.0 + 3788.38i −1.04309 + 0.0638645i
\(40\) 148.412 0.00231893
\(41\) −16034.2 + 59840.5i −0.232646 + 0.868248i 0.746549 + 0.665330i \(0.231709\pi\)
−0.979196 + 0.202918i \(0.934957\pi\)
\(42\) −17108.9 29633.6i −0.230927 0.399978i
\(43\) −45726.2 26400.0i −0.575121 0.332046i 0.184071 0.982913i \(-0.441072\pi\)
−0.759192 + 0.650867i \(0.774406\pi\)
\(44\) −104936. 104936.i −1.23187 1.23187i
\(45\) 4336.50 1161.96i 0.0475885 0.0127513i
\(46\) 56781.0 + 211910.i 0.583350 + 2.17709i
\(47\) −28376.8 + 28376.8i −0.273319 + 0.273319i −0.830435 0.557116i \(-0.811908\pi\)
0.557116 + 0.830435i \(0.311908\pi\)
\(48\) 57963.4 100396.i 0.524119 0.907801i
\(49\) 91921.5 53070.9i 0.781320 0.451095i
\(50\) 121812. + 32639.4i 0.974496 + 0.261115i
\(51\) 96990.3i 0.731169i
\(52\) 116886. 77376.1i 0.831292 0.550296i
\(53\) 40388.8 0.271290 0.135645 0.990758i \(-0.456689\pi\)
0.135645 + 0.990758i \(0.456689\pi\)
\(54\) −54641.8 + 203926.i −0.347011 + 1.29506i
\(55\) −77752.0 134670.i −0.467330 0.809439i
\(56\) −206.222 119.062i −0.00117428 0.000677970i
\(57\) −97868.6 97868.6i −0.528468 0.528468i
\(58\) 306913. 82237.2i 1.57301 0.421487i
\(59\) −96979.0 361931.i −0.472195 1.76226i −0.631856 0.775086i \(-0.717707\pi\)
0.159661 0.987172i \(-0.448960\pi\)
\(60\) −85109.0 + 85109.0i −0.394023 + 0.394023i
\(61\) −46992.2 + 81392.9i −0.207031 + 0.358589i −0.950778 0.309873i \(-0.899714\pi\)
0.743747 + 0.668462i \(0.233047\pi\)
\(62\) 13218.4 7631.65i 0.0554630 0.0320216i
\(63\) −6957.86 1864.35i −0.0278262 0.00745601i
\(64\) 260533.i 0.993854i
\(65\) 139292. 46616.1i 0.507206 0.169745i
\(66\) −741931. −2.58066
\(67\) −92503.3 + 345227.i −0.307562 + 1.14784i 0.623155 + 0.782098i \(0.285850\pi\)
−0.930717 + 0.365739i \(0.880816\pi\)
\(68\) −109659. 189936.i −0.348754 0.604060i
\(69\) 474202. + 273781.i 1.44350 + 0.833404i
\(70\) 57330.8 + 57330.8i 0.167145 + 0.167145i
\(71\) −288019. + 77174.4i −0.804722 + 0.215625i −0.637656 0.770321i \(-0.720096\pi\)
−0.167066 + 0.985946i \(0.553429\pi\)
\(72\) −38.5802 143.983i −0.000103363 0.000385758i
\(73\) 197517. 197517.i 0.507732 0.507732i −0.406097 0.913830i \(-0.633111\pi\)
0.913830 + 0.406097i \(0.133111\pi\)
\(74\) 34007.3 58902.3i 0.0839221 0.145357i
\(75\) 272586. 157377.i 0.646129 0.373043i
\(76\) 302308. + 81003.2i 0.688667 + 0.184528i
\(77\) 249504.i 0.546520i
\(78\) 139675. 686748.i 0.294330 1.44715i
\(79\) −757842. −1.53708 −0.768542 0.639800i \(-0.779017\pi\)
−0.768542 + 0.639800i \(0.779017\pi\)
\(80\) −71093.5 + 265325.i −0.138855 + 0.518212i
\(81\) 287942. + 498731.i 0.541814 + 0.938449i
\(82\) −606532. 350182.i −1.10005 0.635114i
\(83\) 121193. + 121193.i 0.211954 + 0.211954i 0.805097 0.593143i \(-0.202113\pi\)
−0.593143 + 0.805097i \(0.702113\pi\)
\(84\) 186540. 49983.1i 0.314726 0.0843307i
\(85\) −59480.5 221984.i −0.0968540 0.361464i
\(86\) 422076. 422076.i 0.663583 0.663583i
\(87\) 396523. 686797.i 0.602158 1.04297i
\(88\) −4471.42 + 2581.57i −0.00656141 + 0.00378823i
\(89\) 1.33896e6 + 358773.i 1.89932 + 0.508920i 0.996959 + 0.0779291i \(0.0248308\pi\)
0.902356 + 0.430991i \(0.141836\pi\)
\(90\) 50753.6i 0.0696209i
\(91\) −230947. 46971.4i −0.306470 0.0623318i
\(92\) −1.23817e6 −1.59007
\(93\) 9859.85 36797.5i 0.0122581 0.0457477i
\(94\) −226840. 392899.i −0.273109 0.473039i
\(95\) 284013. + 163975.i 0.331259 + 0.191253i
\(96\) 923868. + 923868.i 1.04423 + 1.04423i
\(97\) −242065. + 64861.2i −0.265227 + 0.0710672i −0.388982 0.921246i \(-0.627173\pi\)
0.123755 + 0.992313i \(0.460506\pi\)
\(98\) 310566. + 1.15905e6i 0.329971 + 1.23147i
\(99\) −110440. + 110440.i −0.113821 + 0.113821i
\(100\) −355869. + 616383.i −0.355869 + 0.616383i
\(101\) −1.11544e6 + 644001.i −1.08264 + 0.625061i −0.931607 0.363468i \(-0.881593\pi\)
−0.151031 + 0.988529i \(0.548259\pi\)
\(102\) −1.05912e6 283789.i −0.998029 0.267421i
\(103\) 1.08493e6i 0.992863i −0.868076 0.496431i \(-0.834643\pi\)
0.868076 0.496431i \(-0.165357\pi\)
\(104\) −1547.78 4624.85i −0.00137597 0.00411148i
\(105\) 202362. 0.174808
\(106\) −118176. + 441039.i −0.0992228 + 0.370305i
\(107\) −331853. 574786.i −0.270891 0.469197i 0.698199 0.715903i \(-0.253985\pi\)
−0.969090 + 0.246707i \(0.920652\pi\)
\(108\) −1.03189e6 595761.i −0.819147 0.472935i
\(109\) −1.30131e6 1.30131e6i −1.00485 1.00485i −0.999988 0.00486137i \(-0.998453\pi\)
−0.00486137 0.999988i \(-0.501547\pi\)
\(110\) 1.69808e6 454998.i 1.27579 0.341847i
\(111\) −43936.3 163973.i −0.0321259 0.119895i
\(112\) 311642. 311642.i 0.221820 0.221820i
\(113\) −346174. + 599591.i −0.239916 + 0.415547i −0.960690 0.277623i \(-0.910453\pi\)
0.720774 + 0.693170i \(0.243787\pi\)
\(114\) 1.35507e6 782348.i 0.914631 0.528062i
\(115\) −1.25322e6 335799.i −0.824011 0.220793i
\(116\) 1.79327e6i 1.14887i
\(117\) −81434.6 123017.i −0.0508454 0.0768084i
\(118\) 4.23597e6 2.57814
\(119\) −95435.7 + 356171.i −0.0566331 + 0.211357i
\(120\) 2093.80 + 3626.57i 0.00121169 + 0.00209871i
\(121\) 3.15088e6 + 1.81916e6i 1.77859 + 1.02687i
\(122\) −751298. 751298.i −0.413745 0.413745i
\(123\) −1.68847e6 + 452424.i −0.907356 + 0.243125i
\(124\) 22295.6 + 83208.1i 0.0116937 + 0.0436416i
\(125\) −1.26603e6 + 1.26603e6i −0.648209 + 0.648209i
\(126\) 40716.8 70523.6i 0.0203546 0.0352552i
\(127\) 586398. 338557.i 0.286274 0.165280i −0.349986 0.936755i \(-0.613814\pi\)
0.636260 + 0.771475i \(0.280480\pi\)
\(128\) 17565.2 + 4706.57i 0.00837572 + 0.00224427i
\(129\) 1.48981e6i 0.694005i
\(130\) 101479. + 1.65744e6i 0.0461897 + 0.754409i
\(131\) 3.21144e6 1.42852 0.714258 0.699882i \(-0.246764\pi\)
0.714258 + 0.699882i \(0.246764\pi\)
\(132\) 1.08376e6 4.04465e6i 0.471207 1.75857i
\(133\) −263096. 455696.i −0.111830 0.193696i
\(134\) −3.49915e6 2.02024e6i −1.45428 0.839630i
\(135\) −882855. 882855.i −0.358829 0.358829i
\(136\) −7370.46 + 1974.91i −0.00293007 + 0.000785110i
\(137\) −388386. 1.44948e6i −0.151043 0.563701i −0.999412 0.0342951i \(-0.989081\pi\)
0.848368 0.529406i \(-0.177585\pi\)
\(138\) −4.37713e6 + 4.37713e6i −1.66553 + 1.66553i
\(139\) −152148. + 263528.i −0.0566529 + 0.0981256i −0.892961 0.450134i \(-0.851376\pi\)
0.836308 + 0.548260i \(0.184709\pi\)
\(140\) −396285. + 228795.i −0.144419 + 0.0833802i
\(141\) −1.09375e6 293071.i −0.390178 0.104548i
\(142\) 3.37092e6i 1.17729i
\(143\) −3.38577e6 + 3.82741e6i −1.15784 + 1.30887i
\(144\) 275889. 0.0923946
\(145\) −486345. + 1.81506e6i −0.159529 + 0.595371i
\(146\) 1.57892e6 + 2.73477e6i 0.507343 + 0.878744i
\(147\) 2.59367e6 + 1.49746e6i 0.816512 + 0.471414i
\(148\) 271432. + 271432.i 0.0837289 + 0.0837289i
\(149\) 407624. 109223.i 0.123226 0.0330182i −0.196679 0.980468i \(-0.563016\pi\)
0.319905 + 0.947450i \(0.396349\pi\)
\(150\) 920958. + 3.43706e6i 0.272877 + 1.01839i
\(151\) 2.48735e6 2.48735e6i 0.722446 0.722446i −0.246657 0.969103i \(-0.579332\pi\)
0.969103 + 0.246657i \(0.0793320\pi\)
\(152\) 5444.41 9430.00i 0.00155032 0.00268523i
\(153\) −199898. + 115411.i −0.0558129 + 0.0322236i
\(154\) −2.72454e6 730039.i −0.745987 0.199887i
\(155\) 90266.0i 0.0242398i
\(156\) 3.53979e6 + 1.76460e6i 0.932404 + 0.464806i
\(157\) 1.87306e6 0.484008 0.242004 0.970275i \(-0.422195\pi\)
0.242004 + 0.970275i \(0.422195\pi\)
\(158\) 2.21741e6 8.27550e6i 0.562180 2.09808i
\(159\) 569809. + 986937.i 0.141755 + 0.245526i
\(160\) −2.68105e6 1.54791e6i −0.654554 0.377907i
\(161\) 1.47199e6 + 1.47199e6i 0.352717 + 0.352717i
\(162\) −6.28855e6 + 1.68501e6i −1.47913 + 0.396331i
\(163\) −128171. 478340.i −0.0295955 0.110452i 0.949548 0.313622i \(-0.101542\pi\)
−0.979144 + 0.203170i \(0.934876\pi\)
\(164\) 2.79500e6 2.79500e6i 0.633652 0.633652i
\(165\) 2.19386e6 3.79988e6i 0.488379 0.845898i
\(166\) −1.67801e6 + 968797.i −0.366834 + 0.211791i
\(167\) 1.74354e6 + 467181.i 0.374355 + 0.100308i 0.441091 0.897463i \(-0.354592\pi\)
−0.0667356 + 0.997771i \(0.521258\pi\)
\(168\) 6718.96i 0.00141701i
\(169\) −2.90534e6 3.85449e6i −0.601916 0.798559i
\(170\) 2.59806e6 0.528814
\(171\) 85252.1 318165.i 0.0170497 0.0636303i
\(172\) 1.68442e6 + 2.91750e6i 0.331028 + 0.573357i
\(173\) −2.11573e6 1.22152e6i −0.408623 0.235919i 0.281575 0.959539i \(-0.409143\pi\)
−0.690198 + 0.723621i \(0.742477\pi\)
\(174\) 6.33949e6 + 6.33949e6i 1.20339 + 1.20339i
\(175\) 1.15585e6 309710.i 0.215669 0.0577884i
\(176\) −2.47330e6 9.23048e6i −0.453668 1.69311i
\(177\) 7.47591e6 7.47591e6i 1.34817 1.34817i
\(178\) −7.83547e6 + 1.35714e7i −1.38933 + 2.40639i
\(179\) −7.55203e6 + 4.36017e6i −1.31675 + 0.760229i −0.983205 0.182504i \(-0.941580\pi\)
−0.333550 + 0.942733i \(0.608246\pi\)
\(180\) −276684. 74137.4i −0.0474425 0.0127122i
\(181\) 4.17638e6i 0.704311i 0.935941 + 0.352156i \(0.114551\pi\)
−0.935941 + 0.352156i \(0.885449\pi\)
\(182\) 1.18866e6 2.38446e6i 0.197171 0.395527i
\(183\) −2.65188e6 −0.432713
\(184\) −11149.4 + 41610.2i −0.00178977 + 0.00667953i
\(185\) 201116. + 348344.i 0.0317638 + 0.0550165i
\(186\) 372972. + 215336.i 0.0579612 + 0.0334639i
\(187\) 5.65340e6 + 5.65340e6i 0.864540 + 0.864540i
\(188\) 2.47325e6 662705.i 0.372215 0.0997348i
\(189\) 518486. + 1.93502e6i 0.0767983 + 0.286615i
\(190\) −2.62159e6 + 2.62159e6i −0.382212 + 0.382212i
\(191\) 4.57581e6 7.92554e6i 0.656702 1.13744i −0.324763 0.945796i \(-0.605284\pi\)
0.981464 0.191645i \(-0.0613822\pi\)
\(192\) −6.36636e6 + 3.67562e6i −0.899471 + 0.519310i
\(193\) −1.03250e7 2.76658e6i −1.43621 0.384832i −0.545008 0.838431i \(-0.683473\pi\)
−0.891206 + 0.453599i \(0.850140\pi\)
\(194\) 2.83309e6i 0.388021i
\(195\) 3.10424e6 + 2.74605e6i 0.418651 + 0.370343i
\(196\) −6.77224e6 −0.899423
\(197\) −1.02497e6 + 3.82524e6i −0.134064 + 0.500335i 0.865936 + 0.500155i \(0.166724\pi\)
−1.00000 0.000179267i \(0.999943\pi\)
\(198\) −882843. 1.52913e6i −0.113733 0.196992i
\(199\) 3.56104e6 + 2.05597e6i 0.451874 + 0.260890i 0.708621 0.705589i \(-0.249317\pi\)
−0.256747 + 0.966479i \(0.582651\pi\)
\(200\) 17509.8 + 17509.8i 0.00218872 + 0.00218872i
\(201\) −9.74097e6 + 2.61009e6i −1.19954 + 0.321415i
\(202\) −3.76864e6 1.40647e7i −0.457225 1.70639i
\(203\) 2.13191e6 2.13191e6i 0.254848 0.254848i
\(204\) 3.09417e6 5.35925e6i 0.364463 0.631268i
\(205\) 3.58699e6 2.07095e6i 0.416359 0.240385i
\(206\) 1.18472e7 + 3.17445e6i 1.35523 + 0.363134i
\(207\) 1.30312e6i 0.146917i
\(208\) 9.00957e6 551623.i 1.00118 0.0612989i
\(209\) −1.14092e7 −1.24973
\(210\) −592103. + 2.20976e6i −0.0639351 + 0.238609i
\(211\) 5.26794e6 + 9.12434e6i 0.560781 + 0.971302i 0.997428 + 0.0716690i \(0.0228325\pi\)
−0.436647 + 0.899633i \(0.643834\pi\)
\(212\) −2.23171e6 1.28848e6i −0.234223 0.135229i
\(213\) −5.94922e6 5.94922e6i −0.615632 0.615632i
\(214\) 7.24755e6 1.94198e6i 0.739520 0.198154i
\(215\) 913646. + 3.40977e6i 0.0919311 + 0.343092i
\(216\) −29313.1 + 29313.1i −0.00290871 + 0.00290871i
\(217\) 72415.4 125427.i 0.00708682 0.0122747i
\(218\) 1.80176e7 1.04025e7i 1.73911 1.00408i
\(219\) 7.61307e6 + 2.03992e6i 0.724816 + 0.194214i
\(220\) 9.92172e6i 0.931792i
\(221\) −6.29722e6 + 4.16862e6i −0.583408 + 0.386202i
\(222\) 1.91911e6 0.175404
\(223\) 2.89334e6 1.07981e7i 0.260906 0.973716i −0.703802 0.710396i \(-0.748516\pi\)
0.964709 0.263320i \(-0.0848175\pi\)
\(224\) 2.48360e6 + 4.30172e6i 0.220972 + 0.382735i
\(225\) 648714. + 374535.i 0.0569516 + 0.0328810i
\(226\) −5.53454e6 5.53454e6i −0.479464 0.479464i
\(227\) −1.53925e6 + 412440.i −0.131593 + 0.0352601i −0.324014 0.946052i \(-0.605033\pi\)
0.192422 + 0.981312i \(0.438366\pi\)
\(228\) 2.28560e6 + 8.52997e6i 0.192839 + 0.719686i
\(229\) −920912. + 920912.i −0.0766853 + 0.0766853i −0.744409 0.667724i \(-0.767269\pi\)
0.667724 + 0.744409i \(0.267269\pi\)
\(230\) 7.33372e6 1.27024e7i 0.602755 1.04400i
\(231\) −6.09686e6 + 3.52002e6i −0.494619 + 0.285568i
\(232\) 60264.9 + 16147.9i 0.00482615 + 0.00129316i
\(233\) 1.14829e7i 0.907789i 0.891056 + 0.453894i \(0.149966\pi\)
−0.891056 + 0.453894i \(0.850034\pi\)
\(234\) 1.58160e6 529308.i 0.123438 0.0413105i
\(235\) 2.68303e6 0.206739
\(236\) −6.18762e6 + 2.30925e7i −0.470747 + 1.75685i
\(237\) −1.06917e7 1.85185e7i −0.803158 1.39111i
\(238\) −3.61008e6 2.08428e6i −0.267785 0.154606i
\(239\) −1.46354e7 1.46354e7i −1.07204 1.07204i −0.997195 0.0748442i \(-0.976154\pi\)
−0.0748442 0.997195i \(-0.523846\pi\)
\(240\) −7.48643e6 + 2.00598e6i −0.541553 + 0.145109i
\(241\) 623244. + 2.32598e6i 0.0445253 + 0.166171i 0.984609 0.174774i \(-0.0559196\pi\)
−0.940083 + 0.340945i \(0.889253\pi\)
\(242\) −2.90843e7 + 2.90843e7i −2.05216 + 2.05216i
\(243\) −1.31764e6 + 2.28221e6i −0.0918284 + 0.159051i
\(244\) 5.19316e6 2.99827e6i 0.357489 0.206396i
\(245\) −6.85453e6 1.83667e6i −0.466101 0.124891i
\(246\) 1.97615e7i 1.32744i
\(247\) 2.14788e6 1.05606e7i 0.142534 0.700807i
\(248\) 2997.07 0.000196491
\(249\) −1.25166e6 + 4.67124e6i −0.0810750 + 0.302576i
\(250\) −1.01205e7 1.75292e7i −0.647712 1.12187i
\(251\) 8.42240e6 + 4.86268e6i 0.532617 + 0.307506i 0.742081 0.670310i \(-0.233839\pi\)
−0.209465 + 0.977816i \(0.567172\pi\)
\(252\) 324984. + 324984.i 0.0203077 + 0.0203077i
\(253\) 4.35986e7 1.16822e7i 2.69223 0.721380i
\(254\) 1.98121e6 + 7.39396e6i 0.120901 + 0.451207i
\(255\) 4.58522e6 4.58522e6i 0.276529 0.276529i
\(256\) −8.43984e6 + 1.46182e7i −0.503054 + 0.871315i
\(257\) 2.83515e6 1.63688e6i 0.167023 0.0964309i −0.414158 0.910205i \(-0.635924\pi\)
0.581181 + 0.813774i \(0.302591\pi\)
\(258\) 1.62685e7 + 4.35913e6i 0.947301 + 0.253829i
\(259\) 645378.i 0.0371462i
\(260\) −9.18378e6 1.86785e6i −0.522518 0.106273i
\(261\) 1.88733e6 0.106152
\(262\) −9.39652e6 + 3.50683e7i −0.522472 + 1.94989i
\(263\) 2.32059e6 + 4.01937e6i 0.127565 + 0.220948i 0.922733 0.385441i \(-0.125951\pi\)
−0.795168 + 0.606389i \(0.792617\pi\)
\(264\) −126166. 72842.0i −0.00685695 0.00395886i
\(265\) −1.90939e6 1.90939e6i −0.102602 0.102602i
\(266\) 5.74593e6 1.53962e6i 0.305292 0.0818027i
\(267\) 1.01232e7 + 3.77802e7i 0.531843 + 1.98486i
\(268\) 1.61247e7 1.61247e7i 0.837697 0.837697i
\(269\) −7.37333e6 + 1.27710e7i −0.378797 + 0.656096i −0.990888 0.134692i \(-0.956995\pi\)
0.612090 + 0.790788i \(0.290329\pi\)
\(270\) 1.22238e7 7.05742e6i 0.621034 0.358554i
\(271\) −2.87262e7 7.69715e6i −1.44334 0.386743i −0.549640 0.835401i \(-0.685235\pi\)
−0.893703 + 0.448659i \(0.851902\pi\)
\(272\) 1.41227e7i 0.701795i
\(273\) −2.11043e6 6.30607e6i −0.103725 0.309935i
\(274\) 1.69644e7 0.824683
\(275\) 6.71529e6 2.50618e7i 0.322899 1.20508i
\(276\) −1.74682e7 3.02558e7i −0.830847 1.43907i
\(277\) 2.29609e7 + 1.32565e7i 1.08031 + 0.623720i 0.930981 0.365067i \(-0.118954\pi\)
0.149333 + 0.988787i \(0.452287\pi\)
\(278\) −2.43250e6 2.43250e6i −0.113219 0.113219i
\(279\) 87572.6 23465.0i 0.00403233 0.00108046i
\(280\) 4120.48 + 15377.9i 0.000187704 + 0.000700522i
\(281\) 1.06238e7 1.06238e7i 0.478808 0.478808i −0.425942 0.904750i \(-0.640057\pi\)
0.904750 + 0.425942i \(0.140057\pi\)
\(282\) 6.40055e6 1.10861e7i 0.285411 0.494346i
\(283\) −1.83933e6 + 1.06194e6i −0.0811521 + 0.0468532i −0.540027 0.841648i \(-0.681586\pi\)
0.458875 + 0.888501i \(0.348253\pi\)
\(284\) 1.83767e7 + 4.92401e6i 0.802253 + 0.214963i
\(285\) 9.25349e6i 0.399734i
\(286\) −3.18880e7 4.81708e7i −1.36310 2.05914i
\(287\) −6.64563e6 −0.281119
\(288\) −804770. + 3.00344e6i −0.0336895 + 0.125731i
\(289\) −6.16091e6 1.06710e7i −0.255242 0.442091i
\(290\) −1.83971e7 1.06216e7i −0.754321 0.435507i
\(291\) −5.00001e6 5.00001e6i −0.202905 0.202905i
\(292\) −1.72150e7 + 4.61275e6i −0.691447 + 0.185273i
\(293\) 1.07059e7 + 3.99551e7i 0.425620 + 1.58844i 0.762565 + 0.646911i \(0.223940\pi\)
−0.336946 + 0.941524i \(0.609394\pi\)
\(294\) −2.39409e7 + 2.39409e7i −0.942104 + 0.942104i
\(295\) −1.25256e7 + 2.16950e7i −0.487903 + 0.845072i
\(296\) 11565.9 6677.60i 0.000445970 0.000257481i
\(297\) 4.19561e7 + 1.12421e7i 1.60149 + 0.429119i
\(298\) 4.77076e6i 0.180276i
\(299\) 2.60550e6 + 4.25552e7i 0.0974715 + 1.59199i
\(300\) −2.00825e7 −0.743796
\(301\) 1.46593e6 5.47094e6i 0.0537545 0.200615i
\(302\) 1.98835e7 + 3.44392e7i 0.721892 + 1.25035i
\(303\) −3.14735e7 1.81712e7i −1.13140 0.653215i
\(304\) 1.42506e7 + 1.42506e7i 0.507237 + 0.507237i
\(305\) 6.06942e6 1.62630e6i 0.213918 0.0573192i
\(306\) −675377. 2.52054e6i −0.0235712 0.0879690i
\(307\) −5.23547e6 + 5.23547e6i −0.180943 + 0.180943i −0.791767 0.610824i \(-0.790838\pi\)
0.610824 + 0.791767i \(0.290838\pi\)
\(308\) 7.95964e6 1.37865e7i 0.272422 0.471848i
\(309\) 2.65112e7 1.53062e7i 0.898573 0.518792i
\(310\) −985688. 264114.i −0.0330868 0.00886557i
\(311\) 1.54769e7i 0.514520i −0.966342 0.257260i \(-0.917180\pi\)
0.966342 0.257260i \(-0.0828198\pi\)
\(312\) 91176.2 103069.i 0.00300205 0.00339363i
\(313\) −5.90676e7 −1.92627 −0.963133 0.269026i \(-0.913298\pi\)
−0.963133 + 0.269026i \(0.913298\pi\)
\(314\) −5.48049e6 + 2.04535e7i −0.177023 + 0.660660i
\(315\) 240796. + 417071.i 0.00770403 + 0.0133438i
\(316\) 4.18750e7 + 2.41765e7i 1.32707 + 0.766184i
\(317\) −7.42399e6 7.42399e6i −0.233056 0.233056i 0.580911 0.813967i \(-0.302696\pi\)
−0.813967 + 0.580911i \(0.802696\pi\)
\(318\) −1.24444e7 + 3.33447e6i −0.386984 + 0.103692i
\(319\) −1.69196e7 6.31449e7i −0.521217 1.94521i
\(320\) 1.23167e7 1.23167e7i 0.375877 0.375877i
\(321\) 9.36361e6 1.62182e7i 0.283092 0.490330i
\(322\) −2.03808e7 + 1.17669e7i −0.610455 + 0.352446i
\(323\) −1.62868e7 4.36403e6i −0.483312 0.129503i
\(324\) 3.67435e7i 1.08030i
\(325\) 2.19336e7 + 1.09339e7i 0.638939 + 0.318513i
\(326\) 5.59841e6 0.161589
\(327\) 1.34397e7 5.01576e7i 0.384367 1.43448i
\(328\) −68761.0 119098.i −0.00194859 0.00337506i
\(329\) −3.72815e6 2.15245e6i −0.104690 0.0604428i
\(330\) 3.50748e7 + 3.50748e7i 0.976009 + 0.976009i
\(331\) −2.10507e7 + 5.64053e6i −0.580475 + 0.155538i −0.537096 0.843521i \(-0.680479\pi\)
−0.0433786 + 0.999059i \(0.513812\pi\)
\(332\) −2.83030e6 1.05628e7i −0.0773426 0.288646i
\(333\) 285669. 285669.i 0.00773625 0.00773625i
\(334\) −1.02031e7 + 1.76722e7i −0.273837 + 0.474299i
\(335\) 2.06937e7 1.19475e7i 0.550433 0.317793i
\(336\) 1.20119e7 + 3.21858e6i 0.316660 + 0.0848489i
\(337\) 5.92781e7i 1.54883i 0.632675 + 0.774417i \(0.281957\pi\)
−0.632675 + 0.774417i \(0.718043\pi\)
\(338\) 5.05912e7 2.04477e7i 1.31016 0.529534i
\(339\) −1.95354e7 −0.501445
\(340\) −3.79507e6 + 1.41634e7i −0.0965568 + 0.360355i
\(341\) −1.57015e6 2.71958e6i −0.0395984 0.0685864i
\(342\) 3.22486e6 + 1.86187e6i 0.0806181 + 0.0465449i
\(343\) 1.69751e7 + 1.69751e7i 0.420658 + 0.420658i
\(344\) 113214. 30335.5i 0.00278114 0.000745205i
\(345\) −9.47494e6 3.53609e7i −0.230738 0.861126i
\(346\) 1.95293e7 1.95293e7i 0.471475 0.471475i
\(347\) 2.14476e7 3.71483e7i 0.513321 0.889099i −0.486559 0.873648i \(-0.661748\pi\)
0.999881 0.0154512i \(-0.00491846\pi\)
\(348\) −4.38202e7 + 2.52996e7i −1.03977 + 0.600310i
\(349\) −2.46581e7 6.60712e6i −0.580074 0.155430i −0.0431613 0.999068i \(-0.513743\pi\)
−0.536913 + 0.843638i \(0.680410\pi\)
\(350\) 1.35279e7i 0.315519i
\(351\) −1.83046e7 + 3.67191e7i −0.423290 + 0.849123i
\(352\) 1.07701e8 2.46941
\(353\) −6.74932e6 + 2.51888e7i −0.153439 + 0.572643i 0.845795 + 0.533508i \(0.179127\pi\)
−0.999234 + 0.0391344i \(0.987540\pi\)
\(354\) 5.97614e7 + 1.03510e8i 1.34713 + 2.33331i
\(355\) 1.72646e7 + 9.96769e6i 0.385896 + 0.222797i
\(356\) −6.25394e7 6.25394e7i −1.38613 1.38613i
\(357\) −1.00498e7 + 2.69283e6i −0.220877 + 0.0591839i
\(358\) −2.55153e7 9.52245e7i −0.556099 2.07539i
\(359\) 2.04281e7 2.04281e7i 0.441515 0.441515i −0.451006 0.892521i \(-0.648935\pi\)
0.892521 + 0.451006i \(0.148935\pi\)
\(360\) −4982.94 + 8630.71i −0.000106802 + 0.000184986i
\(361\) −1.99051e7 + 1.14922e7i −0.423100 + 0.244277i
\(362\) −4.56054e7 1.22199e7i −0.961369 0.257598i
\(363\) 1.02660e8i 2.14624i
\(364\) 1.12626e7 + 9.96307e6i 0.233526 + 0.206580i
\(365\) −1.86752e7 −0.384050
\(366\) 7.75928e6 2.89580e7i 0.158262 0.590644i
\(367\) −3.09668e7 5.36361e7i −0.626467 1.08507i −0.988255 0.152813i \(-0.951167\pi\)
0.361788 0.932260i \(-0.382166\pi\)
\(368\) −6.90481e7 3.98650e7i −1.38551 0.799923i
\(369\) −2.94161e6 2.94161e6i −0.0585471 0.0585471i
\(370\) −4.39231e6 + 1.17692e6i −0.0867137 + 0.0232349i
\(371\) 1.12135e6 + 4.18494e6i 0.0219594 + 0.0819535i
\(372\) −1.71872e6 + 1.71872e6i −0.0333869 + 0.0333869i
\(373\) −3.23302e7 + 5.59976e7i −0.622992 + 1.07905i 0.365934 + 0.930641i \(0.380750\pi\)
−0.988926 + 0.148412i \(0.952584\pi\)
\(374\) −7.82757e7 + 4.51925e7i −1.49628 + 0.863876i
\(375\) −4.87979e7 1.30754e7i −0.925353 0.247948i
\(376\) 89083.8i 0.00167585i
\(377\) 6.16337e7 3.77361e6i 1.15025 0.0704259i
\(378\) −2.26471e7 −0.419312
\(379\) 4.15953e6 1.55236e7i 0.0764059 0.285151i −0.917143 0.398559i \(-0.869510\pi\)
0.993548 + 0.113409i \(0.0361770\pi\)
\(380\) −1.04622e7 1.81211e7i −0.190666 0.330243i
\(381\) 1.65459e7 + 9.55277e6i 0.299168 + 0.172725i
\(382\) 7.31568e7 + 7.31568e7i 1.31240 + 1.31240i
\(383\) −2.52518e7 + 6.76619e6i −0.449464 + 0.120434i −0.476449 0.879202i \(-0.658076\pi\)
0.0269844 + 0.999636i \(0.491410\pi\)
\(384\) 132801. + 495621.i 0.00234535 + 0.00875298i
\(385\) 1.17953e7 1.17953e7i 0.206694 0.206694i
\(386\) 6.04211e7 1.04652e8i 1.05057 1.81965i
\(387\) 3.07053e6 1.77277e6i 0.0529761 0.0305858i
\(388\) 1.54446e7 + 4.13838e6i 0.264413 + 0.0708492i
\(389\) 8.87606e7i 1.50790i −0.656934 0.753948i \(-0.728147\pi\)
0.656934 0.753948i \(-0.271853\pi\)
\(390\) −3.90692e7 + 2.58629e7i −0.658629 + 0.435998i
\(391\) 6.67061e7 1.11593
\(392\) −60982.2 + 227589.i −0.00101238 + 0.00377827i
\(393\) 4.53071e7 + 7.84743e7i 0.746430 + 1.29285i
\(394\) −3.87719e7 2.23850e7i −0.633912 0.365989i
\(395\) 3.58271e7 + 3.58271e7i 0.581326 + 0.581326i
\(396\) 9.62568e6 2.57919e6i 0.155005 0.0415335i
\(397\) 1.56545e7 + 5.84233e7i 0.250188 + 0.933715i 0.970704 + 0.240277i \(0.0772383\pi\)
−0.720516 + 0.693438i \(0.756095\pi\)
\(398\) −3.28702e7 + 3.28702e7i −0.521379 + 0.521379i
\(399\) 7.42356e6 1.28580e7i 0.116867 0.202420i
\(400\) −3.96910e7 + 2.29156e7i −0.620171 + 0.358056i
\(401\) 1.58028e6 + 423436.i 0.0245077 + 0.00656681i 0.271052 0.962565i \(-0.412628\pi\)
−0.246544 + 0.969132i \(0.579295\pi\)
\(402\) 1.14007e8i 1.75490i
\(403\) 2.81290e6 941381.i 0.0429773 0.0143830i
\(404\) 8.21792e7 1.24629
\(405\) 9.96504e6 3.71900e7i 0.150008 0.559837i
\(406\) 1.70422e7 + 2.95180e7i 0.254653 + 0.441071i
\(407\) −1.21187e7 6.99671e6i −0.179751 0.103779i
\(408\) −152242. 152242.i −0.00224157 0.00224157i
\(409\) 8.49302e7 2.27570e7i 1.24134 0.332617i 0.422357 0.906429i \(-0.361203\pi\)
0.818987 + 0.573812i \(0.194536\pi\)
\(410\) 1.21190e7 + 4.52288e7i 0.175839 + 0.656241i
\(411\) 2.99398e7 2.99398e7i 0.431245 0.431245i
\(412\) −3.46112e7 + 5.99483e7i −0.494908 + 0.857206i
\(413\) 3.48094e7 2.00972e7i 0.494136 0.285289i
\(414\) −1.42298e7 3.81286e6i −0.200538 0.0537341i
\(415\) 1.14588e7i 0.160322i
\(416\) −2.02758e7 + 9.96910e7i −0.281642 + 1.38476i
\(417\) −8.58606e6 −0.118409
\(418\) 3.33828e7 1.24586e8i 0.457082 1.70585i
\(419\) 1.98527e7 + 3.43859e7i 0.269885 + 0.467454i 0.968832 0.247719i \(-0.0796811\pi\)
−0.698947 + 0.715173i \(0.746348\pi\)
\(420\) −1.11816e7 6.45572e6i −0.150924 0.0871358i
\(421\) −6.26160e7 6.26160e7i −0.839149 0.839149i 0.149598 0.988747i \(-0.452202\pi\)
−0.988747 + 0.149598i \(0.952202\pi\)
\(422\) −1.15050e8 + 3.08275e7i −1.53091 + 0.410205i
\(423\) −697465. 2.60298e6i −0.00921513 0.0343913i
\(424\) −63396.7 + 63396.7i −0.000831705 + 0.000831705i
\(425\) 1.91723e7 3.32075e7i 0.249752 0.432583i
\(426\) 8.23715e7 4.75572e7i 1.06549 0.615159i
\(427\) −9.73831e6 2.60937e6i −0.125084 0.0335160i
\(428\) 4.23469e7i 0.540120i
\(429\) −1.41293e8 2.87370e7i −1.78957 0.363973i
\(430\) −3.99074e7 −0.501936
\(431\) 7.49067e6 2.79555e7i 0.0935597 0.349169i −0.903237 0.429141i \(-0.858816\pi\)
0.996797 + 0.0799717i \(0.0254830\pi\)
\(432\) −3.83631e7 6.64468e7i −0.475841 0.824181i
\(433\) 3.27745e6 + 1.89224e6i 0.0403713 + 0.0233084i 0.520050 0.854136i \(-0.325913\pi\)
−0.479679 + 0.877444i \(0.659247\pi\)
\(434\) 1.15776e6 + 1.15776e6i 0.0141628 + 0.0141628i
\(435\) −5.12141e7 + 1.37228e7i −0.622188 + 0.166715i
\(436\) 3.03905e7 + 1.13419e8i 0.366672 + 1.36844i
\(437\) −6.73102e7 + 6.73102e7i −0.806560 + 0.806560i
\(438\) −4.45510e7 + 7.71646e7i −0.530195 + 0.918324i
\(439\) −2.13154e7 + 1.23065e7i −0.251942 + 0.145459i −0.620653 0.784085i \(-0.713132\pi\)
0.368711 + 0.929544i \(0.379799\pi\)
\(440\) 333431. + 89342.5i 0.00391424 + 0.00104882i
\(441\) 7.12746e6i 0.0831034i
\(442\) −2.70951e7 8.09617e7i −0.313779 0.937590i
\(443\) 1.41105e8 1.62305 0.811524 0.584319i \(-0.198638\pi\)
0.811524 + 0.584319i \(0.198638\pi\)
\(444\) −2.80330e6 + 1.04620e7i −0.0320273 + 0.119528i
\(445\) −4.63384e7 8.02604e7i −0.525849 0.910796i
\(446\) 1.09447e8 + 6.31895e7i 1.23367 + 0.712262i
\(447\) 8.41974e6 + 8.41974e6i 0.0942706 + 0.0942706i
\(448\) −2.69954e7 + 7.23341e6i −0.300232 + 0.0804468i
\(449\) −1.24591e7 4.64980e7i −0.137641 0.513683i −0.999973 0.00734004i \(-0.997664\pi\)
0.862332 0.506343i \(-0.169003\pi\)
\(450\) −5.98796e6 + 5.98796e6i −0.0657115 + 0.0657115i
\(451\) −7.20470e7 + 1.24789e8i −0.785392 + 1.36034i
\(452\) 3.82561e7 2.20872e7i 0.414272 0.239180i
\(453\) 9.58722e7 + 2.56889e7i 1.03133 + 0.276344i
\(454\) 1.80151e7i 0.192517i
\(455\) 8.69747e6 + 1.31386e7i 0.0923333 + 0.139481i
\(456\) 307241. 0.00324029
\(457\) −4.93331e6 + 1.84114e7i −0.0516881 + 0.192902i −0.986942 0.161074i \(-0.948504\pi\)
0.935254 + 0.353977i \(0.115171\pi\)
\(458\) −7.36165e6 1.27507e7i −0.0766264 0.132721i
\(459\) 5.55928e7 + 3.20965e7i 0.574884 + 0.331909i
\(460\) 5.85347e7 + 5.85347e7i 0.601367 + 0.601367i
\(461\) 6.39702e6 1.71408e6i 0.0652943 0.0174955i −0.226024 0.974122i \(-0.572573\pi\)
0.291318 + 0.956626i \(0.405906\pi\)
\(462\) −2.05989e7 7.68761e7i −0.208890 0.779588i
\(463\) −1.21218e7 + 1.21218e7i −0.122131 + 0.122131i −0.765530 0.643400i \(-0.777523\pi\)
0.643400 + 0.765530i \(0.277523\pi\)
\(464\) −5.77373e7 + 1.00004e8i −0.577967 + 1.00107i
\(465\) −2.20573e6 + 1.27348e6i −0.0219378 + 0.0126658i
\(466\) −1.25391e8 3.35985e7i −1.23911 0.332019i
\(467\) 8.84009e7i 0.867972i −0.900920 0.433986i \(-0.857107\pi\)
0.900920 0.433986i \(-0.142893\pi\)
\(468\) 575241. + 9.39531e6i 0.00561193 + 0.0916586i
\(469\) −3.83394e7 −0.371643
\(470\) −7.85043e6 + 2.92982e7i −0.0756136 + 0.282194i
\(471\) 2.64252e7 + 4.57698e7i 0.252904 + 0.438043i
\(472\) 720332. + 415884.i 0.00685025 + 0.00395500i
\(473\) −8.68387e7 8.68387e7i −0.820597 0.820597i
\(474\) 2.33503e8 6.25668e7i 2.19259 0.587502i
\(475\) 1.41622e7 + 5.28541e7i 0.132145 + 0.493172i
\(476\) 1.66359e7 1.66359e7i 0.154250 0.154250i
\(477\) −1.35606e6 + 2.34877e6i −0.0124947 + 0.0216414i
\(478\) 2.02638e8 1.16993e8i 1.85540 1.07122i
\(479\) 528411. + 141587.i 0.00480801 + 0.00128830i 0.261222 0.965279i \(-0.415874\pi\)
−0.256414 + 0.966567i \(0.582541\pi\)
\(480\) 8.73519e7i 0.789858i
\(481\) 8.75777e6 9.90012e6i 0.0786970 0.0889622i
\(482\) −2.72229e7 −0.243104
\(483\) −1.52024e7 + 5.67362e7i −0.134919 + 0.503523i
\(484\) −1.16069e8 2.01038e8i −1.02372 1.77313i
\(485\) 1.45100e7 + 8.37734e6i 0.127187 + 0.0734312i
\(486\) −2.10660e7 2.10660e7i −0.183516 0.183516i
\(487\) −1.09099e8 + 2.92329e7i −0.944568 + 0.253096i −0.698056 0.716044i \(-0.745951\pi\)
−0.246512 + 0.969140i \(0.579285\pi\)
\(488\) −53997.4 201521.i −0.000464636 0.00173405i
\(489\) 9.88042e6 9.88042e6i 0.0844984 0.0844984i
\(490\) 4.01121e7 6.94762e7i 0.340947 0.590538i
\(491\) −1.13524e8 + 6.55431e7i −0.959054 + 0.553710i −0.895882 0.444292i \(-0.853455\pi\)
−0.0631725 + 0.998003i \(0.520122\pi\)
\(492\) 1.07730e8 + 2.88663e7i 0.904572 + 0.242379i
\(493\) 9.66120e7i 0.806288i
\(494\) 1.09035e8 + 5.43544e7i 0.904454 + 0.450872i
\(495\) 1.04421e7 0.0860942
\(496\) −1.43568e6 + 5.35805e6i −0.0117656 + 0.0439098i
\(497\) −1.59930e7 2.77008e7i −0.130275 0.225643i
\(498\) −4.73468e7 2.73357e7i −0.383357 0.221331i
\(499\) 3.49458e7 + 3.49458e7i 0.281250 + 0.281250i 0.833607 0.552357i \(-0.186272\pi\)
−0.552357 + 0.833607i \(0.686272\pi\)
\(500\) 1.10344e8 2.95666e7i 0.882753 0.236533i
\(501\) 1.31821e7 + 4.91961e7i 0.104826 + 0.391217i
\(502\) −7.77431e7 + 7.77431e7i −0.614541 + 0.614541i
\(503\) 1.04697e8 1.81340e8i 0.822677 1.42492i −0.0810055 0.996714i \(-0.525813\pi\)
0.903682 0.428204i \(-0.140854\pi\)
\(504\) 13847.9 7995.07i 0.000108166 6.24498e-5i
\(505\) 8.31779e7 + 2.22874e7i 0.645853 + 0.173056i
\(506\) 5.10271e8i 3.93867i
\(507\) 5.31993e7 1.25374e8i 0.408208 0.962018i
\(508\) −4.32024e7 −0.329546
\(509\) −6.12312e7 + 2.28518e8i −0.464322 + 1.73288i 0.194803 + 0.980842i \(0.437593\pi\)
−0.659126 + 0.752033i \(0.729073\pi\)
\(510\) 3.66536e7 + 6.34860e7i 0.276316 + 0.478594i
\(511\) 2.59498e7 + 1.49821e7i 0.194478 + 0.112282i
\(512\) −1.34111e8 1.34111e8i −0.999204 0.999204i
\(513\) −8.84833e7 + 2.37090e7i −0.655404 + 0.175615i
\(514\) 9.57886e6 + 3.57488e7i 0.0705382 + 0.263252i
\(515\) −5.12901e7 + 5.12901e7i −0.375501 + 0.375501i
\(516\) −4.75277e7 + 8.23205e7i −0.345938 + 0.599182i
\(517\) −8.08357e7 + 4.66705e7i −0.584967 + 0.337731i
\(518\) 7.04741e6 + 1.88835e6i 0.0507038 + 0.0135860i
\(519\) 6.89331e7i 0.493090i
\(520\) −145469. + 291812.i −0.00103457 + 0.00207536i
\(521\) −1.32048e8 −0.933724 −0.466862 0.884330i \(-0.654616\pi\)
−0.466862 + 0.884330i \(0.654616\pi\)
\(522\) −5.52225e6 + 2.06093e7i −0.0388244 + 0.144895i
\(523\) 7.13108e7 + 1.23514e8i 0.498483 + 0.863398i 0.999998 0.00175075i \(-0.000557282\pi\)
−0.501515 + 0.865149i \(0.667224\pi\)
\(524\) −1.77450e8 1.02451e8i −1.23334 0.712067i
\(525\) 2.38749e7 + 2.38749e7i 0.164992 + 0.164992i
\(526\) −5.06807e7 + 1.35799e7i −0.348246 + 0.0933122i
\(527\) −1.20117e6 4.48282e6i −0.00820676 0.0306280i
\(528\) 1.90661e8 1.90661e8i 1.29527 1.29527i
\(529\) 1.14278e8 1.97935e8i 0.771959 1.33707i
\(530\) 2.64369e7 1.52634e7i 0.177576 0.102523i
\(531\) 2.43038e7 + 6.51217e6i 0.162327 + 0.0434953i
\(532\) 3.35730e7i 0.222975i
\(533\) −1.01944e8 9.01810e7i −0.673257 0.595571i
\(534\) −4.42173e8 −2.90381
\(535\) −1.14847e7 + 4.28615e7i −0.0749995 + 0.279902i
\(536\) −396690. 687087.i −0.00257607 0.00446188i
\(537\) −2.13089e8 1.23027e8i −1.37606 0.794471i
\(538\) −1.17883e8 1.17883e8i −0.757013 0.757013i
\(539\) 2.38465e8 6.38965e7i 1.52285 0.408047i
\(540\) 2.06180e7 + 7.69473e7i 0.130938 + 0.488666i
\(541\) 1.56107e8 1.56107e8i 0.985897 0.985897i −0.0140049 0.999902i \(-0.504458\pi\)
0.999902 + 0.0140049i \(0.00445803\pi\)
\(542\) 1.68103e8 2.91163e8i 1.05579 1.82868i
\(543\) −1.02054e8 + 5.89207e7i −0.637425 + 0.368018i
\(544\) 1.53745e8 + 4.11959e7i 0.955004 + 0.255893i
\(545\) 1.23039e8i 0.760070i
\(546\) 7.50362e7 4.59419e6i 0.460991 0.0282248i
\(547\) −1.49094e7 −0.0910958 −0.0455479 0.998962i \(-0.514503\pi\)
−0.0455479 + 0.998962i \(0.514503\pi\)
\(548\) −2.47804e7 + 9.24818e7i −0.150580 + 0.561972i
\(549\) −3.15554e6 5.46556e6i −0.0190703 0.0330307i
\(550\) 2.54022e8 + 1.46660e8i 1.52680 + 0.881500i
\(551\) 9.74869e7 + 9.74869e7i 0.582762 + 0.582762i
\(552\) −1.17408e6 + 314593.i −0.00698039 + 0.00187039i
\(553\) −2.10406e7 7.85247e7i −0.124418 0.464335i
\(554\) −2.11941e8 + 2.11941e8i −1.24648 + 1.24648i
\(555\) −5.67473e6 + 9.82892e6i −0.0331945 + 0.0574945i
\(556\) 1.68140e7 9.70760e6i 0.0978246 0.0564790i
\(557\) −1.21976e8 3.26833e7i −0.705843 0.189130i −0.111996 0.993709i \(-0.535725\pi\)
−0.593846 + 0.804579i \(0.702391\pi\)
\(558\) 1.02493e6i 0.00589921i
\(559\) 9.67281e7 6.40318e7i 0.553754 0.366573i
\(560\) −2.94658e7 −0.167785
\(561\) −5.83873e7 + 2.17904e8i −0.330697 + 1.23418i
\(562\) 8.49254e7 + 1.47095e8i 0.478441 + 0.828684i
\(563\) 1.18363e8 + 6.83368e7i 0.663270 + 0.382939i 0.793522 0.608542i \(-0.208245\pi\)
−0.130252 + 0.991481i \(0.541579\pi\)
\(564\) 5.10865e7 + 5.10865e7i 0.284754 + 0.284754i
\(565\) 4.47112e7 1.19803e7i 0.247897 0.0664237i
\(566\) −6.21436e6 2.31923e7i −0.0342726 0.127907i
\(567\) −4.36822e7 + 4.36822e7i −0.239638 + 0.239638i
\(568\) 330954. 573229.i 0.00180602 0.00312812i
\(569\) 5.05835e7 2.92044e7i 0.274582 0.158530i −0.356386 0.934339i \(-0.615991\pi\)
0.630968 + 0.775809i \(0.282658\pi\)
\(570\) −1.01046e8 2.70753e7i −0.545628 0.146201i
\(571\) 1.19570e8i 0.642264i −0.947034 0.321132i \(-0.895937\pi\)
0.947034 0.321132i \(-0.104063\pi\)
\(572\) 3.09184e8 1.03473e8i 1.65207 0.552892i
\(573\) 2.58223e8 1.37256
\(574\) 1.94448e7 7.25690e7i 0.102818 0.383721i
\(575\) −1.08238e8 1.87474e8i −0.569346 0.986136i
\(576\) −1.51510e7 8.74743e6i −0.0792819 0.0457734i
\(577\) 2.57100e8 + 2.57100e8i 1.33837 + 1.33837i 0.897644 + 0.440722i \(0.145277\pi\)
0.440722 + 0.897644i \(0.354723\pi\)
\(578\) 1.34552e8 3.60531e7i 0.696798 0.186706i
\(579\) −7.80622e7 2.91332e8i −0.402166 1.50090i
\(580\) 8.47771e7 8.47771e7i 0.434505 0.434505i
\(581\) −9.19274e6 + 1.59223e7i −0.0468724 + 0.0811853i
\(582\) 6.92290e7 3.99694e7i 0.351172 0.202749i
\(583\) 9.07401e7 + 2.43137e7i 0.457924 + 0.122700i
\(584\) 620067.i 0.00311315i
\(585\) −1.96583e6 + 9.66549e6i −0.00981923 + 0.0482788i
\(586\) −4.67628e8 −2.32385
\(587\) −6.03976e6 + 2.25407e7i −0.0298611 + 0.111443i −0.979248 0.202667i \(-0.935039\pi\)
0.949387 + 0.314110i \(0.101706\pi\)
\(588\) −9.55432e7 1.65486e8i −0.469967 0.814007i
\(589\) 5.73545e6 + 3.31137e6i 0.0280687 + 0.0162055i
\(590\) −2.00256e8 2.00256e8i −0.975056 0.975056i
\(591\) −1.07934e8 + 2.89207e7i −0.522871 + 0.140103i
\(592\) 6.39753e6 + 2.38759e7i 0.0308352 + 0.115079i
\(593\) −5.00115e7 + 5.00115e7i −0.239831 + 0.239831i −0.816780 0.576949i \(-0.804243\pi\)
0.576949 + 0.816780i \(0.304243\pi\)
\(594\) −2.45523e8 + 4.25259e8i −1.17148 + 2.02906i
\(595\) 2.13497e7 1.23263e7i 0.101354 0.0585169i
\(596\) −2.60079e7 6.96880e6i −0.122848 0.0329169i
\(597\) 1.16023e8i 0.545281i
\(598\) −4.72319e8 9.60631e7i −2.20867 0.449214i
\(599\) 2.91626e7 0.135689 0.0678446 0.997696i \(-0.478388\pi\)
0.0678446 + 0.997696i \(0.478388\pi\)
\(600\) −180838. + 674895.i −0.000837211 + 0.00312451i
\(601\) 1.20077e8 + 2.07979e8i 0.553141 + 0.958069i 0.998046 + 0.0624906i \(0.0199043\pi\)
−0.444904 + 0.895578i \(0.646762\pi\)
\(602\) 5.54524e7 + 3.20155e7i 0.254174 + 0.146747i
\(603\) −1.69705e7 1.69705e7i −0.0774002 0.0774002i
\(604\) −2.16791e8 + 5.80889e7i −0.983852 + 0.263622i
\(605\) −6.29572e7 2.34959e8i −0.284302 1.06103i
\(606\) 2.90516e8 2.90516e8i 1.30543 1.30543i
\(607\) −7.39874e7 + 1.28150e8i −0.330820 + 0.572997i −0.982673 0.185348i \(-0.940659\pi\)
0.651853 + 0.758346i \(0.273992\pi\)
\(608\) −1.96707e8 + 1.13569e8i −0.875201 + 0.505298i
\(609\) 8.21724e7 + 2.20180e7i 0.363809 + 0.0974824i
\(610\) 7.10354e7i 0.312958i
\(611\) −2.79813e7 8.36095e7i −0.122672 0.366549i
\(612\) 1.47273e7 0.0642495
\(613\) −1.70581e7 + 6.36616e7i −0.0740540 + 0.276373i −0.993017 0.117970i \(-0.962361\pi\)
0.918963 + 0.394344i \(0.129028\pi\)
\(614\) −4.18517e7 7.24892e7i −0.180804 0.313161i
\(615\) 1.01211e8 + 5.84342e7i 0.435113 + 0.251213i
\(616\) −391637. 391637.i −0.00167549 0.00167549i
\(617\) −3.25679e7 + 8.72654e6i −0.138655 + 0.0371524i −0.327479 0.944859i \(-0.606199\pi\)
0.188824 + 0.982011i \(0.439532\pi\)
\(618\) 8.95708e7 + 3.34283e8i 0.379490 + 1.41628i
\(619\) −1.97859e8 + 1.97859e8i −0.834226 + 0.834226i −0.988092 0.153866i \(-0.950828\pi\)
0.153866 + 0.988092i \(0.450828\pi\)
\(620\) 2.87965e6 4.98770e6i 0.0120827 0.0209279i
\(621\) 3.13850e8 1.81202e8i 1.31053 0.756636i
\(622\) 1.69005e8 + 4.52847e7i 0.702309 + 0.188183i
\(623\) 1.48699e8i 0.614955i
\(624\) 1.40587e8 + 2.12374e8i 0.578617 + 0.874074i
\(625\) −5.45952e7 −0.223622
\(626\) 1.72829e8 6.45007e8i 0.704521 2.62931i
\(627\) −1.60962e8 2.78794e8i −0.653010 1.13105i
\(628\) −1.03497e8 5.97540e7i −0.417877 0.241261i
\(629\) −1.46233e7 1.46233e7i −0.0587616 0.0587616i
\(630\) −5.25890e6 + 1.40912e6i −0.0210316 + 0.00563541i
\(631\) 8.12048e7 + 3.03061e8i 0.323217 + 1.20626i 0.916092 + 0.400967i \(0.131326\pi\)
−0.592876 + 0.805294i \(0.702008\pi\)
\(632\) 1.18955e6 1.18955e6i 0.00471230 0.00471230i
\(633\) −1.48641e8 + 2.57454e8i −0.586040 + 1.01505i
\(634\) 1.02791e8 5.93463e7i 0.403354 0.232877i
\(635\) −4.37274e7 1.17167e7i −0.170778 0.0457598i
\(636\) 7.27117e7i 0.282640i
\(637\) 1.42509e7 + 2.32758e8i 0.0551346 + 0.900504i
\(638\) 7.39037e8 2.84580
\(639\) 5.18229e6 1.93406e7i 0.0198618 0.0741253i
\(640\) −607891. 1.05290e6i −0.00231892 0.00401649i
\(641\) −1.99868e8 1.15394e8i −0.758872 0.438135i 0.0700187 0.997546i \(-0.477694\pi\)
−0.828891 + 0.559411i \(0.811027\pi\)
\(642\) 1.49703e8 + 1.49703e8i 0.565750 + 0.565750i
\(643\) −4.58440e8 + 1.22839e8i −1.72445 + 0.462064i −0.978892 0.204381i \(-0.934482\pi\)
−0.745555 + 0.666445i \(0.767815\pi\)
\(644\) −3.43764e7 1.28295e8i −0.128707 0.480342i
\(645\) −7.04311e7 + 7.04311e7i −0.262473 + 0.262473i
\(646\) 9.53088e7 1.65080e8i 0.353537 0.612345i
\(647\) 1.22600e8 7.07829e7i 0.452664 0.261346i −0.256291 0.966600i \(-0.582500\pi\)
0.708955 + 0.705254i \(0.249167\pi\)
\(648\) −1.23481e6 330866.i −0.00453810 0.00121598i
\(649\) 8.71517e8i 3.18817i
\(650\) −1.83573e8 + 2.07519e8i −0.668451 + 0.755643i
\(651\) 4.08656e6 0.0148121
\(652\) −8.17776e6 + 3.05198e7i −0.0295047 + 0.110113i
\(653\) 1.61407e8 + 2.79565e8i 0.579672 + 1.00402i 0.995517 + 0.0945859i \(0.0301527\pi\)
−0.415845 + 0.909436i \(0.636514\pi\)
\(654\) 5.08388e8 + 2.93518e8i 1.81745 + 1.04930i
\(655\) −1.51821e8 1.51821e8i −0.540266 0.540266i
\(656\) 2.45857e8 6.58771e7i 0.870904 0.233358i
\(657\) 4.85470e6 + 1.81180e7i 0.0171185 + 0.0638872i
\(658\) 3.44127e7 3.44127e7i 0.120793 0.120793i
\(659\) 1.08615e8 1.88127e8i 0.379520 0.657348i −0.611472 0.791266i \(-0.709422\pi\)
0.990992 + 0.133918i \(0.0427557\pi\)
\(660\) −2.42446e8 + 1.39976e8i −0.843302 + 0.486881i
\(661\) 1.89689e8 + 5.08269e7i 0.656806 + 0.175991i 0.571804 0.820390i \(-0.306244\pi\)
0.0850016 + 0.996381i \(0.472910\pi\)
\(662\) 2.46374e8i 0.849222i
\(663\) −1.90705e8 9.50671e7i −0.654369 0.326204i
\(664\) −380462. −0.00129959
\(665\) −9.10518e6 + 3.39810e7i −0.0309616 + 0.115550i
\(666\) 2.28360e6 + 3.95531e6i 0.00773031 + 0.0133893i
\(667\) −4.72352e8 2.72713e8i −1.59180 0.919027i
\(668\) −8.14366e7 8.14366e7i −0.273206 0.273206i
\(669\) 3.04680e8 8.16388e7i 1.01757 0.272658i
\(670\) 6.99159e7 + 2.60930e8i 0.232462 + 0.867560i
\(671\) −1.54573e8 + 1.54573e8i −0.511643 + 0.511643i
\(672\) −7.00776e7 + 1.21378e8i −0.230925 + 0.399974i
\(673\) 6.43995e7 3.71811e7i 0.211270 0.121977i −0.390632 0.920547i \(-0.627743\pi\)
0.601901 + 0.798570i \(0.294410\pi\)
\(674\) −6.47307e8 1.73445e8i −2.11412 0.566478i
\(675\) 2.08320e8i 0.677361i
\(676\) 3.75707e7 + 3.05668e8i 0.121621 + 0.989485i
\(677\) 3.74481e8 1.20688 0.603439 0.797409i \(-0.293797\pi\)
0.603439 + 0.797409i \(0.293797\pi\)
\(678\) 5.71597e7 2.13323e8i 0.183401 0.684461i
\(679\) −1.34413e7 2.32811e7i −0.0429372 0.0743693i
\(680\) 441803. + 255075.i 0.00140508 + 0.000811226i
\(681\) −3.17942e7 3.17942e7i −0.100671 0.100671i
\(682\) 3.42915e7 9.18837e6i 0.108102 0.0289658i
\(683\) 4.29154e7 + 1.60163e8i 0.134695 + 0.502688i 0.999999 + 0.00144102i \(0.000458691\pi\)
−0.865304 + 0.501247i \(0.832875\pi\)
\(684\) −1.48607e7 + 1.48607e7i −0.0464377 + 0.0464377i
\(685\) −5.01631e7 + 8.68851e7i −0.156068 + 0.270317i
\(686\) −2.35033e8 + 1.35696e8i −0.728042 + 0.420335i
\(687\) −3.54956e7 9.51102e6i −0.109472 0.0293330i
\(688\) 2.16930e8i 0.666124i
\(689\) −3.95880e7 + 7.94139e7i −0.121034 + 0.242794i
\(690\) 4.13858e8 1.25981
\(691\) 1.14022e8 4.25536e8i 0.345585 1.28974i −0.546343 0.837561i \(-0.683981\pi\)
0.891928 0.452178i \(-0.149353\pi\)
\(692\) 7.79374e7 + 1.34992e8i 0.235195 + 0.407369i
\(693\) −1.45096e7 8.37715e6i −0.0435970 0.0251708i
\(694\) 3.42898e8 + 3.42898e8i 1.02586 + 1.02586i
\(695\) 1.96511e7 5.26550e6i 0.0585373 0.0156850i
\(696\) 455632. + 1.70044e6i 0.00135141 + 0.00504353i
\(697\) −1.50580e8 + 1.50580e8i −0.444702 + 0.444702i
\(698\) 1.44297e8 2.49930e8i 0.424318 0.734940i
\(699\) −2.80595e8 + 1.62002e8i −0.821579 + 0.474339i
\(700\) −7.37476e7 1.97606e7i −0.215008 0.0576111i
\(701\) 5.44286e8i 1.58006i 0.613069 + 0.790029i \(0.289935\pi\)
−0.613069 + 0.790029i \(0.710065\pi\)
\(702\) −3.47407e8 3.07321e8i −1.00422 0.888343i
\(703\) 2.95115e7 0.0849424
\(704\) −1.56839e8 + 5.85330e8i −0.449506 + 1.67758i
\(705\) 3.78524e7 + 6.55623e7i 0.108025 + 0.187106i
\(706\) −2.55309e8 1.47403e8i −0.725525 0.418882i
\(707\) −9.76980e7 9.76980e7i −0.276457 0.276457i
\(708\) −6.51581e8 + 1.74591e8i −1.83598 + 0.491950i
\(709\) −1.13567e7 4.23838e7i −0.0318650 0.118922i 0.948161 0.317789i \(-0.102940\pi\)
−0.980026 + 0.198867i \(0.936274\pi\)
\(710\) −1.59361e8 + 1.59361e8i −0.445252 + 0.445252i
\(711\) 2.54447e7 4.40714e7i 0.0707926 0.122616i
\(712\) −2.66486e6 + 1.53856e6i −0.00738303 + 0.00426259i
\(713\) −2.53079e7 6.78122e6i −0.0698211 0.0187085i
\(714\) 1.17621e8i 0.323139i
\(715\) 3.41004e8 2.08784e7i 0.932913 0.0571189i
\(716\) 5.56389e8 1.51579
\(717\) 1.51152e8 5.64106e8i 0.410068 1.53039i
\(718\) 1.63300e8 + 2.82843e8i 0.441176 + 0.764139i
\(719\) 9.89418e7 + 5.71241e7i 0.266191 + 0.153685i 0.627155 0.778894i \(-0.284219\pi\)
−0.360965 + 0.932580i \(0.617552\pi\)
\(720\) −1.30427e7 1.30427e7i −0.0349437 0.0349437i
\(721\) 1.12416e8 3.01218e7i 0.299932 0.0803666i
\(722\) −6.72515e7 2.50986e8i −0.178686 0.666865i
\(723\) −4.80446e7 + 4.80446e7i −0.127125 + 0.127125i
\(724\) 1.33234e8 2.30769e8i 0.351075 0.608080i
\(725\) −2.71522e8 + 1.56764e8i −0.712511 + 0.411369i
\(726\) −1.12102e9 3.00377e8i −2.92958 0.784977i
\(727\) 3.27073e8i 0.851219i 0.904907 + 0.425609i \(0.139940\pi\)
−0.904907 + 0.425609i \(0.860060\pi\)
\(728\) 436237. 288779.i 0.00113065 0.000748465i
\(729\) 3.45462e8 0.891699
\(730\) 5.46429e7 2.03930e8i 0.140464 0.524219i
\(731\) −9.07475e7 1.57179e8i −0.232318 0.402386i
\(732\) 1.46531e8 + 8.45997e7i 0.373591 + 0.215693i
\(733\) −2.59750e8 2.59750e8i −0.659544 0.659544i 0.295728 0.955272i \(-0.404438\pi\)
−0.955272 + 0.295728i \(0.904438\pi\)
\(734\) 6.76304e8 1.81215e8i 1.71023 0.458254i
\(735\) −5.18236e7 1.93408e8i −0.130517 0.487095i
\(736\) 6.35401e8 6.35401e8i 1.59373 1.59373i
\(737\) −4.15647e8 + 7.19922e8i −1.03830 + 1.79839i
\(738\) 4.07288e7 2.35148e7i 0.101329 0.0585022i
\(739\) 1.04227e8 + 2.79275e7i 0.258254 + 0.0691989i 0.385623 0.922657i \(-0.373987\pi\)
−0.127369 + 0.991855i \(0.540653\pi\)
\(740\) 2.56639e7i 0.0633327i
\(741\) 2.88360e8 9.65044e7i 0.708730 0.237188i
\(742\) −4.89798e7 −0.119896
\(743\) −1.20801e8 + 4.50834e8i −0.294512 + 1.09913i 0.647092 + 0.762412i \(0.275985\pi\)
−0.941604 + 0.336722i \(0.890682\pi\)
\(744\) 42282.9 + 73236.1i 0.000102671 + 0.000177831i
\(745\) −2.44340e7 1.41070e7i −0.0590916 0.0341165i
\(746\) −5.16887e8 5.16887e8i −1.24503 1.24503i
\(747\) −1.11169e7 + 2.97876e6i −0.0266699 + 0.00714617i
\(748\) −1.32028e8 4.92736e8i −0.315473 1.17736i
\(749\) 5.03437e7 5.03437e7i 0.119812 0.119812i
\(750\) 2.85561e8 4.94607e8i 0.676886 1.17240i
\(751\) 4.99778e8 2.88547e8i 1.17993 0.681235i 0.223935 0.974604i \(-0.428110\pi\)
0.955999 + 0.293369i \(0.0947764\pi\)
\(752\) 1.59261e8 + 4.26738e7i 0.374503 + 0.100348i
\(753\) 2.74412e8i 0.642714i
\(754\) −1.39130e8 + 6.84070e8i −0.324570 + 1.59583i
\(755\) −2.35179e8 −0.546459
\(756\) 3.30813e7 1.23461e8i 0.0765627 0.285736i
\(757\) 2.94123e8 + 5.09435e8i 0.678018 + 1.17436i 0.975577 + 0.219658i \(0.0704940\pi\)
−0.297559 + 0.954703i \(0.596173\pi\)
\(758\) 1.57344e8 + 9.08426e7i 0.361279 + 0.208585i
\(759\) 9.00558e8 + 9.00558e8i 2.05962 + 2.05962i
\(760\) −703189. + 188419.i −0.00160189 + 0.000429224i
\(761\) −7.42636e7 2.77156e8i −0.168509 0.628883i −0.997567 0.0697200i \(-0.977789\pi\)
0.829058 0.559163i \(-0.188877\pi\)
\(762\) −1.52727e8 + 1.52727e8i −0.345184 + 0.345184i
\(763\) 9.87074e7 1.70966e8i