Properties

Label 13.7.f.a.6.1
Level 13
Weight 7
Character 13.6
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 6.1
Character \(\chi\) = 13.6
Dual form 13.7.f.a.11.1

$q$-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 \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\)

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 −0.866409 0.499336i \(-0.833577\pi\)
0.500664 0.865642i \(-0.333089\pi\)
\(3\) 14.1081 24.4359i 0.522521 0.905033i −0.477136 0.878830i \(-0.658325\pi\)
0.999657 0.0262033i \(-0.00834172\pi\)
\(4\) −55.2556 + 31.9018i −0.863368 + 0.498466i
\(5\) −47.2751 + 47.2751i −0.378201 + 0.378201i −0.870453 0.492252i \(-0.836174\pi\)
0.492252 + 0.870453i \(0.336174\pi\)
\(6\) −308.115 82.5592i −1.42646 0.382218i
\(7\) 27.7639 103.616i 0.0809443 0.302088i −0.913571 0.406679i \(-0.866687\pi\)
0.994515 + 0.104591i \(0.0333534\pi\)
\(8\) −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 0.718091 0.695949i \(-0.245016\pi\)
0.969860 + 0.243664i \(0.0783494\pi\)
\(12\) 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 −0.165448 0.986219i \(-0.552907\pi\)
0.771367 + 0.636391i \(0.219574\pi\)
\(18\) −536.790 + 536.790i −0.0920422 + 0.0920422i
\(19\) −4738.10 1269.57i −0.690786 0.185096i −0.103686 0.994610i \(-0.533064\pi\)
−0.587100 + 0.809514i \(0.699730\pi\)
\(20\) 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 0.992311 0.123767i \(-0.0394975\pi\)
0.388970 + 0.921250i \(0.372831\pi\)
\(24\) −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 0.419705 + 0.907660i \(0.362133\pi\)
−0.995910 + 0.0903546i \(0.971200\pi\)
\(30\) 18469.2 10663.2i 0.684043 0.394932i
\(31\) −954.688 + 954.688i −0.0320462 + 0.0320462i −0.722948 0.690902i \(-0.757214\pi\)
0.690902 + 0.722948i \(0.257214\pi\)
\(32\) 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 −0.315726 0.948850i \(-0.602248\pi\)
0.200998 + 0.979592i \(0.435581\pi\)
\(38\) 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 −0.979196 0.202918i \(-0.934957\pi\)
0.746549 0.665330i \(-0.231709\pi\)
\(42\) −17108.9 + 29633.6i −0.230927 + 0.399978i
\(43\) −45726.2 + 26400.0i −0.575121 + 0.332046i −0.759192 0.650867i \(-0.774406\pi\)
0.184071 + 0.982913i \(0.441072\pi\)
\(44\) −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 0.557116 0.830435i \(-0.311908\pi\)
−0.830435 + 0.557116i \(0.811908\pi\)
\(48\) 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 0.159661 + 0.987172i \(0.448960\pi\)
−0.631856 + 0.775086i \(0.717707\pi\)
\(60\) −85109.0 85109.0i −0.394023 0.394023i
\(61\) −46992.2 81392.9i −0.207031 0.358589i 0.743747 0.668462i \(-0.233047\pi\)
−0.950778 + 0.309873i \(0.899714\pi\)
\(62\) 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 −0.930717 0.365739i \(-0.880816\pi\)
0.623155 0.782098i \(-0.285850\pi\)
\(68\) −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 −0.167066 0.985946i \(-0.553429\pi\)
−0.637656 + 0.770321i \(0.720096\pi\)
\(72\) −38.5802 + 143.983i −0.000103363 + 0.000385758i
\(73\) 197517. + 197517.i 0.507732 + 0.507732i 0.913830 0.406097i \(-0.133111\pi\)
−0.406097 + 0.913830i \(0.633111\pi\)
\(74\) 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 −0.593143 0.805097i \(-0.702113\pi\)
0.805097 + 0.593143i \(0.202113\pi\)
\(84\) 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 0.902356 0.430991i \(-0.141836\pi\)
0.996959 0.0779291i \(-0.0248308\pi\)
\(90\) 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 0.123755 0.992313i \(-0.460506\pi\)
−0.388982 + 0.921246i \(0.627173\pi\)
\(98\) 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 −0.151031 0.988529i \(-0.548259\pi\)
−0.931607 + 0.363468i \(0.881593\pi\)
\(102\) −1.05912e6 + 283789.i −0.998029 + 0.267421i
\(103\) 1.08493e6i 0.992863i 0.868076 + 0.496431i \(0.165357\pi\)
−0.868076 + 0.496431i \(0.834643\pi\)
\(104\) −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 −0.969090 0.246707i \(-0.920652\pi\)
0.698199 + 0.715903i \(0.253985\pi\)
\(108\) −1.03189e6 + 595761.i −0.819147 + 0.472935i
\(109\) −1.30131e6 + 1.30131e6i −1.00485 + 1.00485i −0.00486137 + 0.999988i \(0.501547\pi\)
−0.999988 + 0.00486137i \(0.998453\pi\)
\(110\) 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 0.720774 0.693170i \(-0.243787\pi\)
−0.960690 + 0.277623i \(0.910453\pi\)
\(114\) 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 0.636260 0.771475i \(-0.280480\pi\)
−0.349986 + 0.936755i \(0.613814\pi\)
\(128\) 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 0.848368 + 0.529406i \(0.177585\pi\)
−0.999412 + 0.0342951i \(0.989081\pi\)
\(138\) −4.37713e6 4.37713e6i −1.66553 1.66553i
\(139\) −152148. 263528.i −0.0566529 0.0981256i 0.836308 0.548260i \(-0.184709\pi\)
−0.892961 + 0.450134i \(0.851376\pi\)
\(140\) −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 0.319905 0.947450i \(-0.396349\pi\)
−0.196679 + 0.980468i \(0.563016\pi\)
\(150\) 920958. 3.43706e6i 0.272877 1.01839i
\(151\) 2.48735e6 + 2.48735e6i 0.722446 + 0.722446i 0.969103 0.246657i \(-0.0793320\pi\)
−0.246657 + 0.969103i \(0.579332\pi\)
\(152\) 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 −0.979144 0.203170i \(-0.934876\pi\)
0.949548 + 0.313622i \(0.101542\pi\)
\(164\) 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 −0.0667356 0.997771i \(-0.521258\pi\)
0.441091 + 0.897463i \(0.354592\pi\)
\(168\) 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 −0.690198 0.723621i \(-0.742477\pi\)
0.281575 + 0.959539i \(0.409143\pi\)
\(174\) 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 −0.333550 0.942733i \(-0.608246\pi\)
−0.983205 + 0.182504i \(0.941580\pi\)
\(180\) −276684. + 74137.4i −0.0474425 + 0.0127122i
\(181\) 4.17638e6i 0.704311i −0.935941 0.352156i \(-0.885449\pi\)
0.935941 0.352156i \(-0.114551\pi\)
\(182\) 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 0.981464 + 0.191645i \(0.0613822\pi\)
−0.324763 + 0.945796i \(0.605284\pi\)
\(192\) −6.36636e6 3.67562e6i −0.899471 0.519310i
\(193\) −1.03250e7 + 2.76658e6i −1.43621 + 0.384832i −0.891206 0.453599i \(-0.850140\pi\)
−0.545008 + 0.838431i \(0.683473\pi\)
\(194\) 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 −1.00000 0.000179267i \(-0.999943\pi\)
0.865936 0.500155i \(-0.166724\pi\)
\(198\) −882843. + 1.52913e6i −0.113733 + 0.196992i
\(199\) 3.56104e6 2.05597e6i 0.451874 0.260890i −0.256747 0.966479i \(-0.582651\pi\)
0.708621 + 0.705589i \(0.249317\pi\)
\(200\) 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 −0.436647 0.899633i \(-0.643834\pi\)
0.997428 0.0716690i \(-0.0228325\pi\)
\(212\) −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 0.964709 + 0.263320i \(0.0848175\pi\)
−0.703802 + 0.710396i \(0.748516\pi\)
\(224\) 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 0.192422 0.981312i \(-0.438366\pi\)
−0.324014 + 0.946052i \(0.605033\pi\)
\(228\) 2.28560e6 8.52997e6i 0.192839 0.719686i
\(229\) −920912. 920912.i −0.0766853 0.0766853i 0.667724 0.744409i \(-0.267269\pi\)
−0.744409 + 0.667724i \(0.767269\pi\)
\(230\) 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 \(-0.850034\pi\)
0.891056 0.453894i \(-0.149966\pi\)
\(234\) 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 −0.0748442 + 0.997195i \(0.523846\pi\)
−0.997195 + 0.0748442i \(0.976154\pi\)
\(240\) −7.48643e6 2.00598e6i −0.541553 0.145109i
\(241\) 623244. 2.32598e6i 0.0445253 0.166171i −0.940083 0.340945i \(-0.889253\pi\)
0.984609 + 0.174774i \(0.0559196\pi\)
\(242\) −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 −0.209465 0.977816i \(-0.567172\pi\)
0.742081 + 0.670310i \(0.233839\pi\)
\(252\) 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 0.581181 0.813774i \(-0.302591\pi\)
−0.414158 + 0.910205i \(0.635924\pi\)
\(258\) 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 −0.795168 0.606389i \(-0.792617\pi\)
0.922733 + 0.385441i \(0.125951\pi\)
\(264\) −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 0.612090 0.790788i \(-0.290329\pi\)
−0.990888 + 0.134692i \(0.956995\pi\)
\(270\) 1.22238e7 + 7.05742e6i 0.621034 + 0.358554i
\(271\) −2.87262e7 + 7.69715e6i −1.44334 + 0.386743i −0.893703 0.448659i \(-0.851902\pi\)
−0.549640 + 0.835401i \(0.685235\pi\)
\(272\) 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 0.149333 0.988787i \(-0.452287\pi\)
0.930981 + 0.365067i \(0.118954\pi\)
\(278\) −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 0.904750 0.425942i \(-0.140057\pi\)
−0.425942 + 0.904750i \(0.640057\pi\)
\(282\) 6.40055e6 + 1.10861e7i 0.285411 + 0.494346i
\(283\) −1.83933e6 1.06194e6i −0.0811521 0.0468532i 0.458875 0.888501i \(-0.348253\pi\)
−0.540027 + 0.841648i \(0.681586\pi\)
\(284\) 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 −0.336946 0.941524i \(-0.609394\pi\)
0.762565 0.646911i \(-0.223940\pi\)
\(294\) −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 0.610824 0.791767i \(-0.290838\pi\)
−0.791767 + 0.610824i \(0.790838\pi\)
\(308\) 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 \(0.0828198\pi\)
−0.966342 + 0.257260i \(0.917180\pi\)
\(312\) 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 −0.813967 0.580911i \(-0.802696\pi\)
0.580911 + 0.813967i \(0.302696\pi\)
\(318\) −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 −0.0433786 0.999059i \(-0.513812\pi\)
−0.537096 + 0.843521i \(0.680479\pi\)
\(332\) −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 \(-0.718043\pi\)
0.632675 0.774417i \(-0.281957\pi\)
\(338\) 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 0.999881 + 0.0154512i \(0.00491846\pi\)
−0.486559 + 0.873648i \(0.661748\pi\)
\(348\) −4.38202e7 2.52996e7i −1.03977 0.600310i
\(349\) −2.46581e7 + 6.60712e6i −0.580074 + 0.155430i −0.536913 0.843638i \(-0.680410\pi\)
−0.0431613 + 0.999068i \(0.513743\pi\)
\(350\) 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 −0.999234 0.0391344i \(-0.987540\pi\)
0.845795 0.533508i \(-0.179127\pi\)
\(354\) 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 0.892521 0.451006i \(-0.148935\pi\)
−0.451006 + 0.892521i \(0.648935\pi\)
\(360\) −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 0.361788 + 0.932260i \(0.382166\pi\)
−0.988255 + 0.152813i \(0.951167\pi\)
\(368\) −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 −0.988926 0.148412i \(-0.952584\pi\)
0.365934 0.930641i \(-0.380750\pi\)
\(374\) −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 0.993548 0.113409i \(-0.0361770\pi\)
−0.917143 + 0.398559i \(0.869510\pi\)
\(380\) −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 0.0269844 0.999636i \(-0.491410\pi\)
−0.476449 + 0.879202i \(0.658076\pi\)
\(384\) 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 \(0.271853\pi\)
−0.656934 + 0.753948i \(0.728147\pi\)
\(390\) −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 −0.720516 0.693438i \(-0.756095\pi\)
0.970704 0.240277i \(-0.0772383\pi\)
\(398\) −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 −0.246544 0.969132i \(-0.579295\pi\)
0.271052 + 0.962565i \(0.412628\pi\)
\(402\) 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 0.818987 0.573812i \(-0.194536\pi\)
0.422357 + 0.906429i \(0.361203\pi\)
\(410\) 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 −0.698947 0.715173i \(-0.746348\pi\)
0.968832 + 0.247719i \(0.0796811\pi\)
\(420\) −1.11816e7 + 6.45572e6i −0.150924 + 0.0871358i
\(421\) −6.26160e7 + 6.26160e7i −0.839149 + 0.839149i −0.988747 0.149598i \(-0.952202\pi\)
0.149598 + 0.988747i \(0.452202\pi\)
\(422\) −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 0.996797 0.0799717i \(-0.0254830\pi\)
−0.903237 + 0.429141i \(0.858816\pi\)
\(432\) −3.83631e7 + 6.64468e7i −0.475841 + 0.824181i
\(433\) 3.27745e6 1.89224e6i 0.0403713 0.0233084i −0.479679 0.877444i \(-0.659247\pi\)
0.520050 + 0.854136i \(0.325913\pi\)
\(434\) 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 0.368711 0.929544i \(-0.379799\pi\)
−0.620653 + 0.784085i \(0.713132\pi\)
\(440\) 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 0.862332 + 0.506343i \(0.169003\pi\)
−0.999973 + 0.00734004i \(0.997664\pi\)
\(450\) −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 0.935254 0.353977i \(-0.115171\pi\)
−0.986942 + 0.161074i \(0.948504\pi\)
\(458\) −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 0.291318 0.956626i \(-0.405906\pi\)
−0.226024 + 0.974122i \(0.572573\pi\)
\(462\) −2.05989e7 + 7.68761e7i −0.208890 + 0.779588i
\(463\) −1.21218e7 1.21218e7i −0.122131 0.122131i 0.643400 0.765530i \(-0.277523\pi\)
−0.765530 + 0.643400i \(0.777523\pi\)
\(464\) −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 \(0.142893\pi\)
−0.900920 + 0.433986i \(0.857107\pi\)
\(468\) 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 −0.256414 0.966567i \(-0.582541\pi\)
0.261222 + 0.965279i \(0.415874\pi\)
\(480\) 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 −0.246512 0.969140i \(-0.579285\pi\)
−0.698056 + 0.716044i \(0.745951\pi\)
\(488\) −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 −0.0631725 0.998003i \(-0.520122\pi\)
−0.895882 + 0.444292i \(0.853455\pi\)
\(492\) 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 −0.552357 0.833607i \(-0.686272\pi\)
0.833607 + 0.552357i \(0.186272\pi\)
\(500\) 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 0.903682 + 0.428204i \(0.140854\pi\)
−0.0810055 + 0.996714i \(0.525813\pi\)
\(504\) 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 −0.659126 0.752033i \(-0.729073\pi\)
0.194803 0.980842i \(-0.437593\pi\)
\(510\) 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 −0.501515 0.865149i \(-0.667224\pi\)
0.999998 + 0.00175075i \(0.000557282\pi\)
\(524\) −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 0.999902 0.0140049i \(-0.00445803\pi\)
−0.0140049 + 0.999902i \(0.504458\pi\)
\(542\) 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 −0.593846 0.804579i \(-0.702391\pi\)
−0.111996 + 0.993709i \(0.535725\pi\)
\(558\) 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 −0.130252 0.991481i \(-0.541579\pi\)
0.793522 + 0.608542i \(0.208245\pi\)
\(564\) 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 0.630968 0.775809i \(-0.282658\pi\)
−0.356386 + 0.934339i \(0.615991\pi\)
\(570\) −1.01046e8 + 2.70753e7i −0.545628 + 0.146201i
\(571\) 1.19570e8i 0.642264i 0.947034 + 0.321132i \(0.104063\pi\)
−0.947034 + 0.321132i \(0.895937\pi\)
\(572\) 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 0.440722 0.897644i \(-0.354723\pi\)
0.897644 0.440722i \(-0.145277\pi\)
\(578\) 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 0.949387 0.314110i \(-0.101706\pi\)
−0.979248 + 0.202667i \(0.935039\pi\)
\(588\) −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 0.576949 0.816780i \(-0.304243\pi\)
−0.816780 + 0.576949i \(0.804243\pi\)
\(594\) −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 −0.444904 0.895578i \(-0.646762\pi\)
0.998046 0.0624906i \(-0.0199043\pi\)
\(602\) 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 0.651853 0.758346i \(-0.273992\pi\)
−0.982673 + 0.185348i \(0.940659\pi\)
\(608\) −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 0.918963 0.394344i \(-0.129028\pi\)
−0.993017 + 0.117970i \(0.962361\pi\)
\(614\) −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 0.188824 0.982011i \(-0.439532\pi\)
−0.327479 + 0.944859i \(0.606199\pi\)
\(618\) 8.95708e7 3.34283e8i 0.379490 1.41628i
\(619\) −1.97859e8 1.97859e8i −0.834226 0.834226i 0.153866 0.988092i \(-0.450828\pi\)
−0.988092 + 0.153866i \(0.950828\pi\)
\(620\) 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 −0.592876 0.805294i \(-0.702008\pi\)
0.916092 0.400967i \(-0.131326\pi\)
\(632\) 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 −0.828891 0.559411i \(-0.811027\pi\)
0.0700187 + 0.997546i \(0.477694\pi\)
\(642\) 1.49703e8 1.49703e8i 0.565750 0.565750i
\(643\) −4.58440e8 1.22839e8i −1.72445 0.462064i −0.745555 0.666445i \(-0.767815\pi\)
−0.978892 + 0.204381i \(0.934482\pi\)
\(644\) −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 0.708955 0.705254i \(-0.249167\pi\)
−0.256291 + 0.966600i \(0.582500\pi\)
\(648\) −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 −0.415845 0.909436i \(-0.636514\pi\)
0.995517 0.0945859i \(-0.0301527\pi\)
\(654\) 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 0.990992 0.133918i \(-0.0427557\pi\)
−0.611472 + 0.791266i \(0.709422\pi\)
\(660\) −2.42446e8 1.39976e8i −0.843302 0.486881i
\(661\) 1.89689e8 5.08269e7i 0.656806 0.175991i 0.0850016 0.996381i \(-0.472910\pi\)
0.571804 + 0.820390i \(0.306244\pi\)
\(662\) 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 0.601901 0.798570i \(-0.294410\pi\)
−0.390632 + 0.920547i \(0.627743\pi\)
\(674\) −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 −0.865304 0.501247i \(-0.832875\pi\)
0.999999 0.00144102i \(-0.000458691\pi\)
\(684\) −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 0.891928 + 0.452178i \(0.149353\pi\)
−0.546343 + 0.837561i \(0.683981\pi\)
\(692\) 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 \(-0.710065\pi\)
0.613069 0.790029i \(-0.289935\pi\)
\(702\) −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 −0.980026 0.198867i \(-0.936274\pi\)
0.948161 + 0.317789i \(0.102940\pi\)
\(710\) −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 −0.360965 0.932580i \(-0.617552\pi\)
0.627155 + 0.778894i \(0.284219\pi\)
\(720\) −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 \(-0.860060\pi\)
0.904907 0.425609i \(-0.139940\pi\)
\(728\) 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 −0.955272 0.295728i \(-0.904438\pi\)
0.295728 + 0.955272i \(0.404438\pi\)
\(734\) 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 −0.127369 0.991855i \(-0.540653\pi\)
0.385623 + 0.922657i \(0.373987\pi\)
\(740\) 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 −0.941604 0.336722i \(-0.890682\pi\)
0.647092 0.762412i \(-0.275985\pi\)
\(744\) 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 0.955999 0.293369i \(-0.0947764\pi\)
0.223935 + 0.974604i \(0.428110\pi\)
\(752\) 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 −0.297559 0.954703i \(-0.596173\pi\)
0.975577 0.219658i \(-0.0704940\pi\)
\(758\) 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 0.829058 + 0.559163i \(0.188877\pi\)
−0.997567 + 0.0697200i \(0.977789\pi\)
\(762\) −1.52727e8 1.52727e8i −0.345184 0.345184i
\(763\) 9.87074e7 + 1.70966e8i 0.222216