Properties

Label 29.6.d.a.16.5
Level $29$
Weight $6$
Character 29.16
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 16.5
Character \(\chi\) \(=\) 29.16
Dual form 29.6.d.a.20.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.07802 - 1.48230i) q^{2} +(18.8759 - 23.6696i) q^{3} +(-12.6747 - 15.8935i) q^{4} +(15.8039 + 7.61077i) q^{5} +(-93.1857 + 44.8759i) q^{6} +(-39.8314 + 49.9470i) q^{7} +(39.7806 + 174.290i) q^{8} +(-149.879 - 656.661i) q^{9} +O(q^{10})\) \(q+(-3.07802 - 1.48230i) q^{2} +(18.8759 - 23.6696i) q^{3} +(-12.6747 - 15.8935i) q^{4} +(15.8039 + 7.61077i) q^{5} +(-93.1857 + 44.8759i) q^{6} +(-39.8314 + 49.9470i) q^{7} +(39.7806 + 174.290i) q^{8} +(-149.879 - 656.661i) q^{9} +(-37.3634 - 46.8523i) q^{10} +(-25.0902 + 109.927i) q^{11} -615.438 q^{12} +(148.388 - 650.132i) q^{13} +(196.638 - 94.6960i) q^{14} +(478.457 - 230.413i) q^{15} +(-8.84858 + 38.7681i) q^{16} -137.506 q^{17} +(-512.037 + 2243.38i) q^{18} +(1469.67 + 1842.91i) q^{19} +(-79.3475 - 347.644i) q^{20} +(430.373 + 1885.59i) q^{21} +(240.173 - 301.167i) q^{22} +(2898.41 - 1395.80i) q^{23} +(4876.28 + 2348.29i) q^{24} +(-1756.57 - 2202.66i) q^{25} +(-1420.43 + 1781.16i) q^{26} +(-11743.8 - 5655.53i) q^{27} +1298.68 q^{28} +(4343.01 - 1284.30i) q^{29} -1814.24 q^{30} +(76.5604 + 36.8695i) q^{31} +(3651.51 - 4578.85i) q^{32} +(2128.33 + 2668.85i) q^{33} +(423.246 + 203.824i) q^{34} +(-1009.63 + 486.212i) q^{35} +(-8537.00 + 10705.1i) q^{36} +(2814.00 + 12328.9i) q^{37} +(-1791.94 - 7851.02i) q^{38} +(-12587.4 - 15784.1i) q^{39} +(-697.794 + 3057.24i) q^{40} +6149.81 q^{41} +(1470.30 - 6441.82i) q^{42} +(6405.94 - 3084.94i) q^{43} +(2065.14 - 994.518i) q^{44} +(2629.03 - 11518.5i) q^{45} -10990.4 q^{46} +(3653.00 - 16004.8i) q^{47} +(750.602 + 941.225i) q^{48} +(2831.75 + 12406.7i) q^{49} +(2141.75 + 9383.60i) q^{50} +(-2595.54 + 3254.70i) q^{51} +(-12213.7 + 5881.78i) q^{52} +(-7977.78 - 3841.89i) q^{53} +(27764.6 + 34815.7i) q^{54} +(-1233.15 + 1546.33i) q^{55} +(-10289.8 - 4955.31i) q^{56} +71362.4 q^{57} +(-15271.6 - 2484.54i) q^{58} -29632.0 q^{59} +(-9726.35 - 4683.96i) q^{60} +(-31352.6 + 39314.9i) q^{61} +(-181.003 - 226.970i) q^{62} +(38768.1 + 18669.8i) q^{63} +(-16880.2 + 8129.07i) q^{64} +(7293.13 - 9145.29i) q^{65} +(-2595.03 - 11369.6i) q^{66} +(8066.49 + 35341.6i) q^{67} +(1742.84 + 2185.45i) q^{68} +(21672.0 - 94951.2i) q^{69} +3828.37 q^{70} +(-1766.52 + 7739.65i) q^{71} +(108487. - 52244.8i) q^{72} +(-43742.6 + 21065.3i) q^{73} +(9613.59 - 42119.9i) q^{74} -85292.8 q^{75} +(10662.8 - 46716.6i) q^{76} +(-4491.16 - 5631.73i) q^{77} +(15347.6 + 67242.1i) q^{78} +(-7774.71 - 34063.2i) q^{79} +(-434.898 + 545.345i) q^{80} +(-208075. + 100204. i) q^{81} +(-18929.2 - 9115.85i) q^{82} +(44242.6 + 55478.4i) q^{83} +(24513.8 - 30739.3i) q^{84} +(-2173.13 - 1046.52i) q^{85} -24290.4 q^{86} +(51579.3 - 127040. i) q^{87} -20157.4 q^{88} +(64826.5 + 31218.8i) q^{89} +(-25166.1 + 31557.3i) q^{90} +(26561.6 + 33307.2i) q^{91} +(-58920.5 - 28374.6i) q^{92} +(2317.83 - 1116.21i) q^{93} +(-34967.9 + 43848.4i) q^{94} +(9200.64 + 40310.6i) q^{95} +(-39454.1 - 172860. i) q^{96} +(12866.4 + 16134.0i) q^{97} +(9674.23 - 42385.6i) q^{98} +75945.4 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.07802 1.48230i −0.544123 0.262036i 0.141568 0.989928i \(-0.454786\pi\)
−0.685691 + 0.727893i \(0.740500\pi\)
\(3\) 18.8759 23.6696i 1.21089 1.51841i 0.418704 0.908123i \(-0.362484\pi\)
0.792184 0.610283i \(-0.208944\pi\)
\(4\) −12.6747 15.8935i −0.396083 0.496672i
\(5\) 15.8039 + 7.61077i 0.282709 + 0.136146i 0.569865 0.821738i \(-0.306995\pi\)
−0.287156 + 0.957884i \(0.592710\pi\)
\(6\) −93.1857 + 44.8759i −1.05675 + 0.508903i
\(7\) −39.8314 + 49.9470i −0.307242 + 0.385269i −0.911349 0.411634i \(-0.864958\pi\)
0.604107 + 0.796903i \(0.293530\pi\)
\(8\) 39.7806 + 174.290i 0.219759 + 0.962827i
\(9\) −149.879 656.661i −0.616784 2.70231i
\(10\) −37.3634 46.8523i −0.118154 0.148160i
\(11\) −25.0902 + 109.927i −0.0625204 + 0.273920i −0.996520 0.0833544i \(-0.973437\pi\)
0.934000 + 0.357274i \(0.116294\pi\)
\(12\) −615.438 −1.23376
\(13\) 148.388 650.132i 0.243524 1.06695i −0.694259 0.719725i \(-0.744268\pi\)
0.937783 0.347222i \(-0.112875\pi\)
\(14\) 196.638 94.6960i 0.268132 0.129125i
\(15\) 478.457 230.413i 0.549054 0.264410i
\(16\) −8.84858 + 38.7681i −0.00864119 + 0.0378595i
\(17\) −137.506 −0.115398 −0.0576990 0.998334i \(-0.518376\pi\)
−0.0576990 + 0.998334i \(0.518376\pi\)
\(18\) −512.037 + 2243.38i −0.372495 + 1.63201i
\(19\) 1469.67 + 1842.91i 0.933979 + 1.17117i 0.985014 + 0.172475i \(0.0551765\pi\)
−0.0510351 + 0.998697i \(0.516252\pi\)
\(20\) −79.3475 347.644i −0.0443566 0.194339i
\(21\) 430.373 + 1885.59i 0.212959 + 0.933036i
\(22\) 240.173 301.167i 0.105796 0.132663i
\(23\) 2898.41 1395.80i 1.14246 0.550179i 0.235698 0.971826i \(-0.424262\pi\)
0.906760 + 0.421647i \(0.138548\pi\)
\(24\) 4876.28 + 2348.29i 1.72807 + 0.832193i
\(25\) −1756.57 2202.66i −0.562101 0.704852i
\(26\) −1420.43 + 1781.16i −0.412085 + 0.516738i
\(27\) −11743.8 5655.53i −3.10027 1.49301i
\(28\) 1298.68 0.313046
\(29\) 4343.01 1284.30i 0.958950 0.283577i
\(30\) −1814.24 −0.368037
\(31\) 76.5604 + 36.8695i 0.0143087 + 0.00689070i 0.441024 0.897495i \(-0.354615\pi\)
−0.426716 + 0.904386i \(0.640330\pi\)
\(32\) 3651.51 4578.85i 0.630374 0.790464i
\(33\) 2128.33 + 2668.85i 0.340216 + 0.426617i
\(34\) 423.246 + 203.824i 0.0627907 + 0.0302384i
\(35\) −1009.63 + 486.212i −0.139313 + 0.0670896i
\(36\) −8537.00 + 10705.1i −1.09786 + 1.37668i
\(37\) 2814.00 + 12328.9i 0.337924 + 1.48054i 0.803377 + 0.595470i \(0.203034\pi\)
−0.465453 + 0.885073i \(0.654109\pi\)
\(38\) −1791.94 7851.02i −0.201310 0.881997i
\(39\) −12587.4 15784.1i −1.32518 1.66172i
\(40\) −697.794 + 3057.24i −0.0689568 + 0.302120i
\(41\) 6149.81 0.571350 0.285675 0.958327i \(-0.407782\pi\)
0.285675 + 0.958327i \(0.407782\pi\)
\(42\) 1470.30 6441.82i 0.128613 0.563489i
\(43\) 6405.94 3084.94i 0.528338 0.254434i −0.150645 0.988588i \(-0.548135\pi\)
0.678983 + 0.734154i \(0.262421\pi\)
\(44\) 2065.14 994.518i 0.160812 0.0774428i
\(45\) 2629.03 11518.5i 0.193537 0.847941i
\(46\) −10990.4 −0.765804
\(47\) 3653.00 16004.8i 0.241215 1.05683i −0.698697 0.715418i \(-0.746236\pi\)
0.939912 0.341416i \(-0.110906\pi\)
\(48\) 750.602 + 941.225i 0.0470226 + 0.0589645i
\(49\) 2831.75 + 12406.7i 0.168486 + 0.738186i
\(50\) 2141.75 + 9383.60i 0.121155 + 0.530816i
\(51\) −2595.54 + 3254.70i −0.139734 + 0.175221i
\(52\) −12213.7 + 5881.78i −0.626379 + 0.301648i
\(53\) −7977.78 3841.89i −0.390115 0.187869i 0.228536 0.973535i \(-0.426606\pi\)
−0.618651 + 0.785666i \(0.712320\pi\)
\(54\) 27764.6 + 34815.7i 1.29571 + 1.62476i
\(55\) −1233.15 + 1546.33i −0.0549681 + 0.0689278i
\(56\) −10289.8 4955.31i −0.438467 0.211155i
\(57\) 71362.4 2.90926
\(58\) −15271.6 2484.54i −0.596093 0.0969784i
\(59\) −29632.0 −1.10823 −0.554116 0.832439i \(-0.686944\pi\)
−0.554116 + 0.832439i \(0.686944\pi\)
\(60\) −9726.35 4683.96i −0.348796 0.167971i
\(61\) −31352.6 + 39314.9i −1.07882 + 1.35280i −0.147308 + 0.989091i \(0.547061\pi\)
−0.931513 + 0.363708i \(0.881511\pi\)
\(62\) −181.003 226.970i −0.00598007 0.00749877i
\(63\) 38768.1 + 18669.8i 1.23062 + 0.592635i
\(64\) −16880.2 + 8129.07i −0.515143 + 0.248080i
\(65\) 7293.13 9145.29i 0.214107 0.268481i
\(66\) −2595.03 11369.6i −0.0733303 0.321281i
\(67\) 8066.49 + 35341.6i 0.219532 + 0.961832i 0.957825 + 0.287352i \(0.0927749\pi\)
−0.738293 + 0.674480i \(0.764368\pi\)
\(68\) 1742.84 + 2185.45i 0.0457072 + 0.0573150i
\(69\) 21672.0 94951.2i 0.547994 2.40092i
\(70\) 3828.37 0.0933832
\(71\) −1766.52 + 7739.65i −0.0415885 + 0.182211i −0.991456 0.130442i \(-0.958361\pi\)
0.949867 + 0.312653i \(0.101218\pi\)
\(72\) 108487. 52244.8i 2.46631 1.18771i
\(73\) −43742.6 + 21065.3i −0.960721 + 0.462659i −0.847432 0.530903i \(-0.821853\pi\)
−0.113288 + 0.993562i \(0.536138\pi\)
\(74\) 9613.59 42119.9i 0.204083 0.894145i
\(75\) −85292.8 −1.75089
\(76\) 10662.8 46716.6i 0.211756 0.927763i
\(77\) −4491.16 5631.73i −0.0863240 0.108247i
\(78\) 15347.6 + 67242.1i 0.285629 + 1.25142i
\(79\) −7774.71 34063.2i −0.140158 0.614070i −0.995397 0.0958373i \(-0.969447\pi\)
0.855239 0.518233i \(-0.173410\pi\)
\(80\) −434.898 + 545.345i −0.00759735 + 0.00952678i
\(81\) −208075. + 100204.i −3.52377 + 1.69696i
\(82\) −18929.2 9115.85i −0.310884 0.149714i
\(83\) 44242.6 + 55478.4i 0.704929 + 0.883953i 0.997381 0.0723274i \(-0.0230426\pi\)
−0.292452 + 0.956280i \(0.594471\pi\)
\(84\) 24513.8 30739.3i 0.379064 0.475331i
\(85\) −2173.13 1046.52i −0.0326241 0.0157109i
\(86\) −24290.4 −0.354151
\(87\) 51579.3 127040.i 0.730596 1.79945i
\(88\) −20157.4 −0.277477
\(89\) 64826.5 + 31218.8i 0.867516 + 0.417774i 0.814049 0.580796i \(-0.197259\pi\)
0.0534669 + 0.998570i \(0.482973\pi\)
\(90\) −25166.1 + 31557.3i −0.327499 + 0.410670i
\(91\) 26561.6 + 33307.2i 0.336241 + 0.421633i
\(92\) −58920.5 28374.6i −0.725767 0.349511i
\(93\) 2317.83 1116.21i 0.0277891 0.0133825i
\(94\) −34967.9 + 43848.4i −0.408179 + 0.511840i
\(95\) 9200.64 + 40310.6i 0.104595 + 0.458259i
\(96\) −39454.1 172860.i −0.436932 1.91433i
\(97\) 12866.4 + 16134.0i 0.138845 + 0.174106i 0.846392 0.532560i \(-0.178770\pi\)
−0.707548 + 0.706666i \(0.750199\pi\)
\(98\) 9674.23 42385.6i 0.101754 0.445813i
\(99\) 75945.4 0.778778
\(100\) −12744.2 + 55836.0i −0.127442 + 0.558360i
\(101\) 95282.6 45885.7i 0.929416 0.447583i 0.0929925 0.995667i \(-0.470357\pi\)
0.836424 + 0.548084i \(0.184642\pi\)
\(102\) 12813.6 6170.69i 0.121947 0.0587264i
\(103\) 20369.8 89246.1i 0.189188 0.828889i −0.787857 0.615858i \(-0.788809\pi\)
0.977046 0.213031i \(-0.0683334\pi\)
\(104\) 119215. 1.08080
\(105\) −7549.19 + 33075.2i −0.0668232 + 0.292772i
\(106\) 18860.9 + 23650.9i 0.163042 + 0.204448i
\(107\) −1506.97 6602.46i −0.0127246 0.0557502i 0.968167 0.250305i \(-0.0805309\pi\)
−0.980892 + 0.194555i \(0.937674\pi\)
\(108\) 58962.7 + 258333.i 0.486427 + 2.13118i
\(109\) −51810.0 + 64967.6i −0.417683 + 0.523758i −0.945510 0.325594i \(-0.894436\pi\)
0.527826 + 0.849352i \(0.323007\pi\)
\(110\) 6087.79 2931.73i 0.0479709 0.0231016i
\(111\) 344937. + 166113.i 2.65725 + 1.27967i
\(112\) −1583.90 1986.15i −0.0119312 0.0149612i
\(113\) −146220. + 183354.i −1.07723 + 1.35081i −0.144804 + 0.989460i \(0.546255\pi\)
−0.932430 + 0.361350i \(0.882316\pi\)
\(114\) −219655. 105780.i −1.58299 0.762329i
\(115\) 56429.4 0.397888
\(116\) −75458.2 52747.7i −0.520668 0.363964i
\(117\) −449156. −3.03342
\(118\) 91208.0 + 43923.5i 0.603015 + 0.290397i
\(119\) 5477.05 6868.00i 0.0354551 0.0444593i
\(120\) 59192.1 + 74224.5i 0.375241 + 0.470537i
\(121\) 133647. + 64361.2i 0.829846 + 0.399633i
\(122\) 154781. 74538.4i 0.941492 0.453399i
\(123\) 116083. 145563.i 0.691840 0.867540i
\(124\) −384.390 1684.12i −0.00224501 0.00983602i
\(125\) −23194.3 101621.i −0.132772 0.581712i
\(126\) −91655.1 114932.i −0.514316 0.644932i
\(127\) −259.910 + 1138.74i −0.00142992 + 0.00626491i −0.975638 0.219387i \(-0.929594\pi\)
0.974208 + 0.225652i \(0.0724513\pi\)
\(128\) −123403. −0.665734
\(129\) 47898.5 209857.i 0.253424 1.11032i
\(130\) −36004.4 + 17338.8i −0.186852 + 0.0899832i
\(131\) 82441.5 39701.7i 0.419728 0.202130i −0.212085 0.977251i \(-0.568025\pi\)
0.631813 + 0.775121i \(0.282311\pi\)
\(132\) 15441.4 67653.4i 0.0771353 0.337952i
\(133\) −150587. −0.738174
\(134\) 27557.9 120739.i 0.132582 0.580880i
\(135\) −142556. 178759.i −0.673209 0.844178i
\(136\) −5470.06 23965.9i −0.0253598 0.111108i
\(137\) 31873.9 + 139649.i 0.145089 + 0.635676i 0.994208 + 0.107474i \(0.0342763\pi\)
−0.849119 + 0.528202i \(0.822867\pi\)
\(138\) −207453. + 260138.i −0.927303 + 1.16280i
\(139\) −29280.0 + 14100.5i −0.128539 + 0.0619009i −0.497048 0.867723i \(-0.665583\pi\)
0.368509 + 0.929624i \(0.379868\pi\)
\(140\) 20524.3 + 9883.99i 0.0885011 + 0.0426199i
\(141\) −309874. 388570.i −1.31262 1.64597i
\(142\) 16909.9 21204.3i 0.0703751 0.0882476i
\(143\) 67744.1 + 32623.8i 0.277033 + 0.133412i
\(144\) 26783.7 0.107638
\(145\) 78411.1 + 12756.7i 0.309712 + 0.0503870i
\(146\) 165866. 0.643983
\(147\) 347113. + 167161.i 1.32488 + 0.638030i
\(148\) 160284. 200989.i 0.601499 0.754256i
\(149\) −179110. 224597.i −0.660928 0.828777i 0.332516 0.943098i \(-0.392102\pi\)
−0.993444 + 0.114320i \(0.963531\pi\)
\(150\) 262533. + 126429.i 0.952700 + 0.458796i
\(151\) −331602. + 159691.i −1.18352 + 0.569952i −0.918934 0.394411i \(-0.870949\pi\)
−0.264583 + 0.964363i \(0.585234\pi\)
\(152\) −262737. + 329462.i −0.922386 + 1.15664i
\(153\) 20609.2 + 90294.6i 0.0711757 + 0.311841i
\(154\) 5475.98 + 23991.8i 0.0186063 + 0.0815195i
\(155\) 929.349 + 1165.37i 0.00310706 + 0.00389613i
\(156\) −91323.9 + 400116.i −0.300450 + 1.31636i
\(157\) 15033.6 0.0486760 0.0243380 0.999704i \(-0.492252\pi\)
0.0243380 + 0.999704i \(0.492252\pi\)
\(158\) −26561.1 + 116372.i −0.0846454 + 0.370856i
\(159\) −241524. + 116312.i −0.757647 + 0.364863i
\(160\) 92556.9 44573.1i 0.285831 0.137649i
\(161\) −45731.7 + 200364.i −0.139044 + 0.609192i
\(162\) 788992. 2.36203
\(163\) 40222.7 176227.i 0.118578 0.519522i −0.880397 0.474238i \(-0.842724\pi\)
0.998974 0.0452841i \(-0.0144193\pi\)
\(164\) −77946.7 97742.1i −0.226302 0.283774i
\(165\) 13324.1 + 58376.5i 0.0381002 + 0.166928i
\(166\) −53944.1 236345.i −0.151941 0.665695i
\(167\) 144361. 181023.i 0.400552 0.502277i −0.540122 0.841586i \(-0.681622\pi\)
0.940675 + 0.339310i \(0.110194\pi\)
\(168\) −311519. + 150020.i −0.851553 + 0.410086i
\(169\) −66128.7 31845.9i −0.178104 0.0857703i
\(170\) 5137.69 + 6442.45i 0.0136347 + 0.0170974i
\(171\) 989897. 1.24129e6i 2.58881 3.24626i
\(172\) −130224. 62712.4i −0.335636 0.161634i
\(173\) 321242. 0.816050 0.408025 0.912971i \(-0.366218\pi\)
0.408025 + 0.912971i \(0.366218\pi\)
\(174\) −347073. + 314575.i −0.869055 + 0.787681i
\(175\) 179983. 0.444259
\(176\) −4039.66 1945.40i −0.00983022 0.00473398i
\(177\) −559330. + 701378.i −1.34195 + 1.68275i
\(178\) −153262. 192184.i −0.362564 0.454640i
\(179\) −672682. 323947.i −1.56920 0.755685i −0.571314 0.820732i \(-0.693566\pi\)
−0.997882 + 0.0650466i \(0.979280\pi\)
\(180\) −216392. + 104209.i −0.497806 + 0.239731i
\(181\) 257098. 322391.i 0.583315 0.731453i −0.399360 0.916794i \(-0.630768\pi\)
0.982674 + 0.185341i \(0.0593389\pi\)
\(182\) −32386.1 141893.i −0.0724736 0.317527i
\(183\) 338761. + 1.48421e6i 0.747765 + 3.27617i
\(184\) 358575. + 449639.i 0.780793 + 0.979083i
\(185\) −49360.5 + 216262.i −0.106035 + 0.464570i
\(186\) −8788.89 −0.0186274
\(187\) 3450.04 15115.6i 0.00721473 0.0316098i
\(188\) −300674. + 144797.i −0.620441 + 0.298789i
\(189\) 750250. 361301.i 1.52775 0.735724i
\(190\) 31432.6 137715.i 0.0631678 0.276756i
\(191\) −75244.3 −0.149242 −0.0746208 0.997212i \(-0.523775\pi\)
−0.0746208 + 0.997212i \(0.523775\pi\)
\(192\) −126217. + 552991.i −0.247095 + 1.08259i
\(193\) 39172.6 + 49120.9i 0.0756988 + 0.0949233i 0.818239 0.574878i \(-0.194951\pi\)
−0.742540 + 0.669802i \(0.766379\pi\)
\(194\) −15687.8 68732.7i −0.0299266 0.131117i
\(195\) −78801.2 345251.i −0.148404 0.650202i
\(196\) 161295. 202257.i 0.299902 0.376065i
\(197\) −204326. + 98398.3i −0.375110 + 0.180643i −0.611933 0.790909i \(-0.709608\pi\)
0.236823 + 0.971553i \(0.423894\pi\)
\(198\) −233762. 112574.i −0.423750 0.204067i
\(199\) −205809. 258076.i −0.368410 0.461972i 0.562726 0.826643i \(-0.309753\pi\)
−0.931136 + 0.364672i \(0.881181\pi\)
\(200\) 314026. 393776.i 0.555124 0.696104i
\(201\) 988783. + 476173.i 1.72628 + 0.831332i
\(202\) −361298. −0.622999
\(203\) −108841. + 268076.i −0.185376 + 0.456581i
\(204\) 84626.3 0.142374
\(205\) 97191.2 + 46804.8i 0.161526 + 0.0777868i
\(206\) −194988. + 244507.i −0.320140 + 0.401443i
\(207\) −1.35098e6 1.69407e6i −2.19140 2.74793i
\(208\) 23891.4 + 11505.5i 0.0382898 + 0.0184394i
\(209\) −239461. + 115318.i −0.379200 + 0.182613i
\(210\) 72263.8 90616.0i 0.113077 0.141794i
\(211\) −131834. 577604.i −0.203855 0.893149i −0.968562 0.248771i \(-0.919973\pi\)
0.764707 0.644378i \(-0.222884\pi\)
\(212\) 40054.4 + 175490.i 0.0612083 + 0.268171i
\(213\) 149850. + 187906.i 0.226312 + 0.283786i
\(214\) −5148.33 + 22556.3i −0.00768478 + 0.0336692i
\(215\) 124718. 0.184006
\(216\) 518527. 2.27182e6i 0.756201 3.31313i
\(217\) −4891.03 + 2355.40i −0.00705101 + 0.00339559i
\(218\) 255774. 123174.i 0.364514 0.175541i
\(219\) −327072. + 1.43300e6i −0.460822 + 2.01899i
\(220\) 40206.4 0.0560065
\(221\) −20404.2 + 89396.8i −0.0281022 + 0.123124i
\(222\) −815496. 1.02260e6i −1.11055 1.39259i
\(223\) −23362.3 102357.i −0.0314597 0.137834i 0.956759 0.290881i \(-0.0939484\pi\)
−0.988219 + 0.153047i \(0.951091\pi\)
\(224\) 83255.1 + 364764.i 0.110864 + 0.485727i
\(225\) −1.18313e6 + 1.48360e6i −1.55803 + 1.95371i
\(226\) 721853. 347626.i 0.940108 0.452732i
\(227\) 26797.0 + 12904.7i 0.0345161 + 0.0166221i 0.451062 0.892493i \(-0.351045\pi\)
−0.416546 + 0.909115i \(0.636760\pi\)
\(228\) −904494. 1.13420e6i −1.15231 1.44495i
\(229\) −365743. + 458628.i −0.460880 + 0.577925i −0.956912 0.290379i \(-0.906219\pi\)
0.496032 + 0.868304i \(0.334790\pi\)
\(230\) −173691. 83645.2i −0.216500 0.104261i
\(231\) −218075. −0.268891
\(232\) 396608. + 705854.i 0.483773 + 0.860984i
\(233\) 1.04776e6 1.26436 0.632182 0.774820i \(-0.282160\pi\)
0.632182 + 0.774820i \(0.282160\pi\)
\(234\) 1.38251e6 + 665784.i 1.65055 + 0.794865i
\(235\) 179541. 225137.i 0.212077 0.265936i
\(236\) 375576. + 470957.i 0.438952 + 0.550429i
\(237\) −953017. 458949.i −1.10212 0.530754i
\(238\) −27038.9 + 13021.2i −0.0309419 + 0.0149008i
\(239\) −141769. + 177773.i −0.160541 + 0.201312i −0.855596 0.517645i \(-0.826809\pi\)
0.695054 + 0.718957i \(0.255380\pi\)
\(240\) 4699.01 + 20587.7i 0.00526597 + 0.0230717i
\(241\) −182336. 798867.i −0.202223 0.885996i −0.969580 0.244776i \(-0.921286\pi\)
0.767357 0.641220i \(-0.221572\pi\)
\(242\) −315967. 396211.i −0.346820 0.434898i
\(243\) −851002. + 3.72849e6i −0.924517 + 4.05058i
\(244\) 1.02224e6 1.09920
\(245\) −49671.8 + 217626.i −0.0528682 + 0.231631i
\(246\) −573074. + 275978.i −0.603772 + 0.290762i
\(247\) 1.41622e6 682015.i 1.47703 0.711298i
\(248\) −3380.38 + 14810.4i −0.00349009 + 0.0152911i
\(249\) 2.14827e6 2.19579
\(250\) −79239.9 + 347173.i −0.0801851 + 0.351314i
\(251\) 620281. + 777808.i 0.621447 + 0.779270i 0.988547 0.150912i \(-0.0482209\pi\)
−0.367100 + 0.930181i \(0.619649\pi\)
\(252\) −194645. 852795.i −0.193082 0.845947i
\(253\) 80714.9 + 353635.i 0.0792779 + 0.347339i
\(254\) 2487.96 3119.80i 0.00241968 0.00303419i
\(255\) −65790.6 + 31683.1i −0.0633597 + 0.0305124i
\(256\) 920004. + 443050.i 0.877384 + 0.422526i
\(257\) −81684.2 102429.i −0.0771445 0.0967362i 0.741762 0.670664i \(-0.233991\pi\)
−0.818906 + 0.573927i \(0.805419\pi\)
\(258\) −458503. + 574944.i −0.428838 + 0.537745i
\(259\) −727879. 350528.i −0.674232 0.324693i
\(260\) −237789. −0.218151
\(261\) −1.49427e6 2.65940e6i −1.35778 2.41647i
\(262\) −312607. −0.281349
\(263\) 234032. + 112704.i 0.208635 + 0.100473i 0.535283 0.844673i \(-0.320205\pi\)
−0.326648 + 0.945146i \(0.605919\pi\)
\(264\) −380488. + 477116.i −0.335993 + 0.421322i
\(265\) −96840.5 121434.i −0.0847115 0.106225i
\(266\) 463511. + 223215.i 0.401657 + 0.193428i
\(267\) 1.96259e6 945135.i 1.68481 0.811364i
\(268\) 459462. 576147.i 0.390762 0.490001i
\(269\) −301477. 1.32086e6i −0.254023 1.11295i −0.927524 0.373763i \(-0.878068\pi\)
0.673501 0.739186i \(-0.264790\pi\)
\(270\) 173815. + 761535.i 0.145104 + 0.635741i
\(271\) −390139. 489218.i −0.322698 0.404650i 0.593850 0.804576i \(-0.297607\pi\)
−0.916547 + 0.399926i \(0.869036\pi\)
\(272\) 1216.73 5330.84i 0.000997176 0.00436891i
\(273\) 1.28974e6 1.04736
\(274\) 108892. 477089.i 0.0876236 0.383904i
\(275\) 286205. 137829.i 0.228216 0.109903i
\(276\) −1.78379e6 + 859029.i −1.40952 + 0.678790i
\(277\) −101165. + 443231.i −0.0792190 + 0.347081i −0.998968 0.0454268i \(-0.985535\pi\)
0.919749 + 0.392508i \(0.128392\pi\)
\(278\) 111026. 0.0861610
\(279\) 12736.0 55800.2i 0.00979543 0.0429166i
\(280\) −124906. 156627.i −0.0952110 0.119391i
\(281\) 149532. + 655143.i 0.112971 + 0.494960i 0.999480 + 0.0322478i \(0.0102666\pi\)
−0.886508 + 0.462712i \(0.846876\pi\)
\(282\) 377824. + 1.65535e6i 0.282922 + 1.23956i
\(283\) −973752. + 1.22105e6i −0.722741 + 0.906288i −0.998490 0.0549417i \(-0.982503\pi\)
0.275749 + 0.961230i \(0.411074\pi\)
\(284\) 145400. 70021.1i 0.106972 0.0515149i
\(285\) 1.12781e6 + 543123.i 0.822475 + 0.396083i
\(286\) −160160. 200834.i −0.115781 0.145185i
\(287\) −244956. + 307165.i −0.175543 + 0.220124i
\(288\) −3.55404e6 1.71154e6i −2.52488 1.21592i
\(289\) −1.40095e6 −0.986683
\(290\) −222442. 155494.i −0.155318 0.108572i
\(291\) 624751. 0.432488
\(292\) 889224. + 428228.i 0.610315 + 0.293912i
\(293\) −403720. + 506249.i −0.274733 + 0.344504i −0.899987 0.435917i \(-0.856424\pi\)
0.625254 + 0.780422i \(0.284996\pi\)
\(294\) −820640. 1.02905e6i −0.553712 0.694333i
\(295\) −468302. 225523.i −0.313308 0.150881i
\(296\) −2.03687e6 + 980905.i −1.35125 + 0.650725i
\(297\) 916351. 1.14907e6i 0.602796 0.755883i
\(298\) 218385. + 956808.i 0.142457 + 0.624143i
\(299\) −477364. 2.09147e6i −0.308796 1.35292i
\(300\) 1.08106e6 + 1.35560e6i 0.693499 + 0.869620i
\(301\) −101074. + 442835.i −0.0643019 + 0.281725i
\(302\) 1.25739e6 0.793326
\(303\) 712447. 3.12143e6i 0.445806 1.95320i
\(304\) −84450.8 + 40669.4i −0.0524107 + 0.0252397i
\(305\) −794712. + 382713.i −0.489170 + 0.235572i
\(306\) 70408.1 308478.i 0.0429852 0.188330i
\(307\) 402536. 0.243758 0.121879 0.992545i \(-0.461108\pi\)
0.121879 + 0.992545i \(0.461108\pi\)
\(308\) −32584.2 + 142761.i −0.0195718 + 0.0857495i
\(309\) −1.72792e6 2.16674e6i −1.02950 1.29096i
\(310\) −1133.14 4964.60i −0.000669697 0.00293413i
\(311\) −482992. 2.11613e6i −0.283165 1.24063i −0.893710 0.448645i \(-0.851907\pi\)
0.610546 0.791981i \(-0.290950\pi\)
\(312\) 2.25028e6 2.82176e6i 1.30873 1.64110i
\(313\) −2.69073e6 + 1.29578e6i −1.55242 + 0.747605i −0.996497 0.0836306i \(-0.973348\pi\)
−0.555921 + 0.831235i \(0.687634\pi\)
\(314\) −46273.9 22284.3i −0.0264857 0.0127549i
\(315\) 470598. + 590111.i 0.267223 + 0.335087i
\(316\) −442843. + 555307.i −0.249478 + 0.312835i
\(317\) 1.20082e6 + 578284.i 0.671165 + 0.323216i 0.738246 0.674531i \(-0.235654\pi\)
−0.0670810 + 0.997748i \(0.521369\pi\)
\(318\) 915823. 0.507860
\(319\) 32212.4 + 509638.i 0.0177234 + 0.280405i
\(320\) −328642. −0.179411
\(321\) −184723. 88957.9i −0.100059 0.0481861i
\(322\) 437762. 548936.i 0.235287 0.295041i
\(323\) −202089. 253411.i −0.107779 0.135151i
\(324\) 4.22987e6 + 2.03700e6i 2.23854 + 1.07802i
\(325\) −1.69267e6 + 815149.i −0.888925 + 0.428084i
\(326\) −385028. + 482809.i −0.200654 + 0.251612i
\(327\) 559800. + 2.45264e6i 0.289510 + 1.26843i
\(328\) 244643. + 1.07185e6i 0.125559 + 0.550111i
\(329\) 653890. + 819952.i 0.333054 + 0.417637i
\(330\) 45519.6 199434.i 0.0230099 0.100813i
\(331\) −2.29259e6 −1.15015 −0.575077 0.818099i \(-0.695028\pi\)
−0.575077 + 0.818099i \(0.695028\pi\)
\(332\) 320988. 1.40634e6i 0.159825 0.700237i
\(333\) 7.67417e6 3.69569e6i 3.79246 1.82635i
\(334\) −712677. + 343207.i −0.349564 + 0.168341i
\(335\) −141495. + 619928.i −0.0688855 + 0.301807i
\(336\) −76908.9 −0.0371645
\(337\) 515357. 2.25793e6i 0.247192 1.08302i −0.687116 0.726548i \(-0.741123\pi\)
0.934307 0.356469i \(-0.116019\pi\)
\(338\) 156341. + 196045.i 0.0744355 + 0.0933392i
\(339\) 1.57989e6 + 6.92193e6i 0.746666 + 3.27136i
\(340\) 10910.7 + 47803.0i 0.00511866 + 0.0224263i
\(341\) −5973.87 + 7491.00i −0.00278208 + 0.00348862i
\(342\) −4.88689e6 + 2.35340e6i −2.25926 + 1.08800i
\(343\) −1.69985e6 818604.i −0.780144 0.375698i
\(344\) 792507. + 993773.i 0.361083 + 0.452784i
\(345\) 1.06515e6 1.33566e6i 0.481798 0.604156i
\(346\) −988790. 476176.i −0.444031 0.213834i
\(347\) 3.17867e6 1.41717 0.708584 0.705627i \(-0.249334\pi\)
0.708584 + 0.705627i \(0.249334\pi\)
\(348\) −2.67285e6 + 790406.i −1.18312 + 0.349866i
\(349\) −1.85868e6 −0.816847 −0.408424 0.912792i \(-0.633921\pi\)
−0.408424 + 0.912792i \(0.633921\pi\)
\(350\) −553992. 266788.i −0.241731 0.116412i
\(351\) −5.41948e6 + 6.79582e6i −2.34796 + 2.94424i
\(352\) 411723. + 516285.i 0.177112 + 0.222092i
\(353\) −1.63959e6 789585.i −0.700323 0.337258i 0.0496125 0.998769i \(-0.484201\pi\)
−0.749936 + 0.661511i \(0.769916\pi\)
\(354\) 2.76128e6 1.32976e6i 1.17112 0.563983i
\(355\) −86822.8 + 108872.i −0.0365648 + 0.0458508i
\(356\) −325477. 1.42601e6i −0.136112 0.596344i
\(357\) −59178.7 259279.i −0.0245751 0.107671i
\(358\) 1.59035e6 + 1.99423e6i 0.655819 + 0.822371i
\(359\) 819671. 3.59121e6i 0.335663 1.47063i −0.472319 0.881428i \(-0.656583\pi\)
0.807982 0.589207i \(-0.200560\pi\)
\(360\) 2.11215e6 0.858952
\(361\) −685402. + 3.00294e6i −0.276807 + 1.21277i
\(362\) −1.26923e6 + 611231.i −0.509062 + 0.245151i
\(363\) 4.04612e6 1.94851e6i 1.61165 0.776132i
\(364\) 192709. 844315.i 0.0762342 0.334004i
\(365\) −851628. −0.334594
\(366\) 1.15732e6 5.07057e6i 0.451598 1.97858i
\(367\) 1.93243e6 + 2.42319e6i 0.748924 + 0.939121i 0.999581 0.0289547i \(-0.00921787\pi\)
−0.250656 + 0.968076i \(0.580646\pi\)
\(368\) 28465.8 + 124717.i 0.0109573 + 0.0480071i
\(369\) −921725. 4.03834e6i −0.352400 1.54396i
\(370\) 472498. 592493.i 0.179430 0.224998i
\(371\) 509657. 245438.i 0.192240 0.0925778i
\(372\) −47118.2 22690.9i −0.0176535 0.00850148i
\(373\) 2.26485e6 + 2.84004e6i 0.842884 + 1.05694i 0.997618 + 0.0689873i \(0.0219768\pi\)
−0.154733 + 0.987956i \(0.549452\pi\)
\(374\) −33025.1 + 41412.2i −0.0122086 + 0.0153091i
\(375\) −2.84314e6 1.36918e6i −1.04405 0.502787i
\(376\) 2.93481e6 1.07056
\(377\) −190511. 3.01410e6i −0.0690345 1.09221i
\(378\) −2.84484e6 −1.02407
\(379\) −3.10953e6 1.49747e6i −1.11198 0.535502i −0.214575 0.976708i \(-0.568837\pi\)
−0.897406 + 0.441206i \(0.854551\pi\)
\(380\) 524063. 657154.i 0.186176 0.233458i
\(381\) 22047.5 + 27646.6i 0.00778119 + 0.00975731i
\(382\) 231604. + 111534.i 0.0812058 + 0.0391066i
\(383\) 597730. 287852.i 0.208213 0.100270i −0.326871 0.945069i \(-0.605994\pi\)
0.535084 + 0.844799i \(0.320280\pi\)
\(384\) −2.32934e6 + 2.92090e6i −0.806130 + 1.01085i
\(385\) −28116.1 123185.i −0.00966726 0.0423550i
\(386\) −47762.4 209261.i −0.0163162 0.0714857i
\(387\) −2.98587e6 3.74417e6i −1.01343 1.27080i
\(388\) 93348.4 408986.i 0.0314795 0.137921i
\(389\) 2.91928e6 0.978142 0.489071 0.872244i \(-0.337336\pi\)
0.489071 + 0.872244i \(0.337336\pi\)
\(390\) −269212. + 1.17950e6i −0.0896259 + 0.392677i
\(391\) −398548. + 191931.i −0.131837 + 0.0634896i
\(392\) −2.04972e6 + 987092.i −0.673719 + 0.324446i
\(393\) 616431. 2.70076e6i 0.201328 0.882074i
\(394\) 774776. 0.251441
\(395\) 136377. 597505.i 0.0439792 0.192685i
\(396\) −962582. 1.20704e6i −0.308461 0.386797i
\(397\) 1.19758e6 + 5.24695e6i 0.381355 + 1.67082i 0.693242 + 0.720705i \(0.256182\pi\)
−0.311887 + 0.950119i \(0.600961\pi\)
\(398\) 250939. + 1.09943e6i 0.0794072 + 0.347906i
\(399\) −2.84247e6 + 3.56434e6i −0.893846 + 1.12085i
\(400\) 100936. 48608.3i 0.0315426 0.0151901i
\(401\) 5.36333e6 + 2.58284e6i 1.66561 + 0.802116i 0.998358 + 0.0572845i \(0.0182442\pi\)
0.667253 + 0.744831i \(0.267470\pi\)
\(402\) −2.33767e6 2.93134e6i −0.721469 0.904693i
\(403\) 35330.7 44303.3i 0.0108365 0.0135886i
\(404\) −1.93696e6 932790.i −0.590428 0.284335i
\(405\) −4.05104e6 −1.22724
\(406\) 732384. 663808.i 0.220508 0.199861i
\(407\) −1.42589e6 −0.426677
\(408\) −670516. 322903.i −0.199415 0.0960334i
\(409\) 2.36776e6 2.96907e6i 0.699888 0.877632i −0.297127 0.954838i \(-0.596028\pi\)
0.997015 + 0.0772059i \(0.0245999\pi\)
\(410\) −229778. 288132.i −0.0675070 0.0846511i
\(411\) 3.90708e6 + 1.88155e6i 1.14090 + 0.549429i
\(412\) −1.67662e6 + 807415.i −0.486620 + 0.234344i
\(413\) 1.18028e6 1.48003e6i 0.340496 0.426968i
\(414\) 1.64722e6 + 7.21695e6i 0.472336 + 2.06944i
\(415\) 276973. + 1.21350e6i 0.0789437 + 0.345875i
\(416\) −2.43502e6 3.05341e6i −0.689872 0.865072i
\(417\) −218932. + 959204.i −0.0616551 + 0.270129i
\(418\) 908001. 0.254182
\(419\) 417796. 1.83048e6i 0.116260 0.509367i −0.882944 0.469478i \(-0.844442\pi\)
0.999204 0.0398894i \(-0.0127006\pi\)
\(420\) 621364. 299233.i 0.171879 0.0827726i
\(421\) 935712. 450615.i 0.257298 0.123908i −0.300789 0.953691i \(-0.597250\pi\)
0.558087 + 0.829783i \(0.311536\pi\)
\(422\) −450392. + 1.97330e6i −0.123115 + 0.539400i
\(423\) −1.10573e7 −3.00467
\(424\) 352244. 1.54328e6i 0.0951545 0.416899i
\(425\) 241538. + 302879.i 0.0648653 + 0.0813385i
\(426\) −182709. 800499.i −0.0487793 0.213716i
\(427\) −714845. 3.13194e6i −0.189733 0.831273i
\(428\) −85836.0 + 107635.i −0.0226496 + 0.0284017i
\(429\) 2.05092e6 987671.i 0.538029 0.259101i
\(430\) −383884. 184869.i −0.100122 0.0482162i
\(431\) 95671.4 + 119968.i 0.0248078 + 0.0311080i 0.794081 0.607812i \(-0.207953\pi\)
−0.769273 + 0.638920i \(0.779381\pi\)
\(432\) 323170. 405243.i 0.0833148 0.104473i
\(433\) −851412. 410019.i −0.218233 0.105095i 0.321574 0.946885i \(-0.395788\pi\)
−0.539806 + 0.841789i \(0.681503\pi\)
\(434\) 18546.1 0.00472638
\(435\) 1.78202e6 1.61517e6i 0.451534 0.409255i
\(436\) 1.68924e6 0.425574
\(437\) 6.83206e6 + 3.29015e6i 1.71139 + 0.824160i
\(438\) 3.13086e6 3.92597e6i 0.779791 0.977827i
\(439\) −1.72391e6 2.16171e6i −0.426926 0.535349i 0.521119 0.853484i \(-0.325515\pi\)
−0.948045 + 0.318135i \(0.896943\pi\)
\(440\) −318565. 153413.i −0.0784453 0.0377773i
\(441\) 7.72257e6 3.71900e6i 1.89089 0.910603i
\(442\) 195317. 244920.i 0.0475538 0.0596306i
\(443\) 496054. + 2.17336e6i 0.120094 + 0.526164i 0.998808 + 0.0488161i \(0.0155448\pi\)
−0.878714 + 0.477348i \(0.841598\pi\)
\(444\) −1.73184e6 7.58770e6i −0.416918 1.82664i
\(445\) 786915. + 986760.i 0.188377 + 0.236217i
\(446\) −79813.9 + 349687.i −0.0189995 + 0.0832421i
\(447\) −8.69697e6 −2.05873
\(448\) 266339. 1.16691e6i 0.0626960 0.274689i
\(449\) −4.40090e6 + 2.11936e6i −1.03021 + 0.496123i −0.871084 0.491135i \(-0.836582\pi\)
−0.159127 + 0.987258i \(0.550868\pi\)
\(450\) 5.84084e6 2.81280e6i 1.35970 0.654799i
\(451\) −154300. + 676031.i −0.0357210 + 0.156504i
\(452\) 4.76743e6 1.09758
\(453\) −2.47945e6 + 1.08632e7i −0.567689 + 2.48721i
\(454\) −63353.0 79442.2i −0.0144254 0.0180889i
\(455\) 166284. + 728540.i 0.0376550 + 0.164978i
\(456\) 2.83884e6 + 1.24378e7i 0.639336 + 2.80111i
\(457\) −4.71992e6 + 5.91859e6i −1.05717 + 1.32565i −0.113945 + 0.993487i \(0.536349\pi\)
−0.943223 + 0.332160i \(0.892223\pi\)
\(458\) 1.80559e6 869526.i 0.402212 0.193695i
\(459\) 1.61484e6 + 777667.i 0.357765 + 0.172291i
\(460\) −715224. 896862.i −0.157597 0.197620i
\(461\) −4.38220e6 + 5.49510e6i −0.960372 + 1.20427i 0.0185069 + 0.999829i \(0.494109\pi\)
−0.978879 + 0.204440i \(0.934463\pi\)
\(462\) 671241. + 323253.i 0.146310 + 0.0704591i
\(463\) 2.40320e6 0.521000 0.260500 0.965474i \(-0.416113\pi\)
0.260500 + 0.965474i \(0.416113\pi\)
\(464\) 11360.4 + 179735.i 0.00244962 + 0.0387558i
\(465\) 45126.1 0.00967821
\(466\) −3.22503e6 1.55309e6i −0.687969 0.331308i
\(467\) 73904.0 92672.7i 0.0156811 0.0196634i −0.773929 0.633272i \(-0.781711\pi\)
0.789610 + 0.613609i \(0.210283\pi\)
\(468\) 5.69290e6 + 7.13868e6i 1.20149 + 1.50662i
\(469\) −2.08651e6 1.00481e6i −0.438014 0.210936i
\(470\) −886351. + 426844.i −0.185081 + 0.0891302i
\(471\) 283773. 355840.i 0.0589412 0.0739100i
\(472\) −1.17878e6 5.16457e6i −0.243544 1.06704i
\(473\) 178392. + 781588.i 0.0366626 + 0.160629i
\(474\) 2.25311e6 + 2.82531e6i 0.460613 + 0.577591i
\(475\) 1.47774e6 6.47439e6i 0.300513 1.31663i
\(476\) −178576. −0.0361249
\(477\) −1.32712e6 + 5.81451e6i −0.267064 + 1.17008i
\(478\) 699880. 337045.i 0.140105 0.0674711i
\(479\) −1.98350e6 + 955202.i −0.394996 + 0.190220i −0.620829 0.783946i \(-0.713204\pi\)
0.225833 + 0.974166i \(0.427490\pi\)
\(480\) 692066. 3.03214e6i 0.137102 0.600684i
\(481\) 8.43299e6 1.66195
\(482\) −622924. + 2.72921e6i −0.122129 + 0.535080i
\(483\) 3.87930e6 + 4.86449e6i 0.756634 + 0.948789i
\(484\) −671010. 2.93988e6i −0.130201 0.570449i
\(485\) 80548.1 + 352904.i 0.0155489 + 0.0681244i
\(486\) 8.14613e6 1.02149e7i 1.56445 1.96175i
\(487\) 6.08135e6 2.92862e6i 1.16192 0.559553i 0.249329 0.968419i \(-0.419790\pi\)
0.912595 + 0.408866i \(0.134076\pi\)
\(488\) −8.09944e6 3.90049e6i −1.53959 0.741428i
\(489\) −3.41199e6 4.27850e6i −0.645261 0.809132i
\(490\) 475478. 596230.i 0.0894623 0.112182i
\(491\) 1.89106e6 + 910688.i 0.353999 + 0.170477i 0.602428 0.798173i \(-0.294200\pi\)
−0.248429 + 0.968650i \(0.579914\pi\)
\(492\) −3.78483e6 −0.704910
\(493\) −597188. + 176598.i −0.110661 + 0.0327242i
\(494\) −5.37010e6 −0.990068
\(495\) 1.20024e6 + 578003.i 0.220168 + 0.106027i
\(496\) −2106.81 + 2641.86i −0.000384523 + 0.000482176i
\(497\) −316209. 396514.i −0.0574227 0.0720058i
\(498\) −6.61242e6 3.18438e6i −1.19478 0.575375i
\(499\) −7.12210e6 + 3.42982e6i −1.28043 + 0.616624i −0.945501 0.325619i \(-0.894427\pi\)
−0.334932 + 0.942242i \(0.608713\pi\)
\(500\) −1.32113e6 + 1.65665e6i −0.236332 + 0.296351i
\(501\) −1.55980e6 6.83394e6i −0.277636 1.21640i
\(502\) −756296. 3.31355e6i −0.133947 0.586860i
\(503\) 999618. + 1.25348e6i 0.176163 + 0.220901i 0.862072 0.506786i \(-0.169167\pi\)
−0.685909 + 0.727687i \(0.740595\pi\)
\(504\) −1.71174e6 + 7.49961e6i −0.300165 + 1.31511i
\(505\) 1.85507e6 0.323691
\(506\) 275750. 1.20814e6i 0.0478784 0.209769i
\(507\) −2.00202e6 + 964121.i −0.345898 + 0.166576i
\(508\) 21392.8 10302.2i 0.00367798 0.00177122i
\(509\) −647097. + 2.83512e6i −0.110707 + 0.485039i 0.888929 + 0.458046i \(0.151450\pi\)
−0.999636 + 0.0269933i \(0.991407\pi\)
\(510\) 249469. 0.0424708
\(511\) 690179. 3.02387e6i 0.116926 0.512284i
\(512\) 287038. + 359934.i 0.0483909 + 0.0606803i
\(513\) −6.83695e6 2.99546e7i −1.14701 5.02540i
\(514\) 99595.9 + 436358.i 0.0166278 + 0.0728510i
\(515\) 1.00116e6 1.25541e6i 0.166335 0.208577i
\(516\) −3.94246e6 + 1.89859e6i −0.651843 + 0.313911i
\(517\) 1.66771e6 + 803128.i 0.274407 + 0.132147i
\(518\) 1.72084e6 + 2.15787e6i 0.281784 + 0.353346i
\(519\) 6.06372e6 7.60367e6i 0.988145 1.23910i
\(520\) 1.88406e6 + 907316.i 0.305553 + 0.147147i
\(521\) −6.58551e6 −1.06291 −0.531453 0.847088i \(-0.678354\pi\)
−0.531453 + 0.847088i \(0.678354\pi\)
\(522\) 657387. + 1.04006e7i 0.105595 + 1.67064i
\(523\) 5.05360e6 0.807880 0.403940 0.914785i \(-0.367640\pi\)
0.403940 + 0.914785i \(0.367640\pi\)
\(524\) −1.67592e6 807080.i −0.266640 0.128407i
\(525\) 3.39734e6 4.26012e6i 0.537948 0.674565i
\(526\) −553296. 693811.i −0.0871953 0.109339i
\(527\) −10527.5 5069.77i −0.00165119 0.000795173i
\(528\) −122299. + 58896.0i −0.0190914 + 0.00919393i
\(529\) 2.43953e6 3.05907e6i 0.379024 0.475281i
\(530\) 118076. + 517323.i 0.0182587 + 0.0799967i
\(531\) 4.44120e6 + 1.94582e7i 0.683541 + 2.99479i
\(532\) 1.90864e6 + 2.39336e6i 0.292378 + 0.366631i
\(533\) 912560. 3.99819e6i 0.139137 0.609600i
\(534\) −7.44188e6 −1.12935
\(535\) 26433.8 115814.i 0.00399278 0.0174935i
\(536\) −5.83881e6 + 2.81182e6i −0.877834 + 0.422742i
\(537\) −2.03651e7 + 9.80734e6i −3.04756 + 1.46763i
\(538\) −1.02995e6 + 4.51251e6i −0.153412 + 0.672144i
\(539\) −1.43488e6 −0.212738
\(540\) −1.03427e6 + 4.53142e6i −0.152633 + 0.668729i
\(541\) −7.60396e6 9.53506e6i −1.11698 1.40065i −0.906060 0.423150i \(-0.860924\pi\)
−0.210924 0.977503i \(-0.567647\pi\)
\(542\) 475688. + 2.08413e6i 0.0695543 + 0.304737i
\(543\) −2.77791e6 1.21708e7i −0.404314 1.77142i
\(544\) −502104. + 629618.i −0.0727439 + 0.0912179i
\(545\) −1.31326e6 + 632431.i −0.189390 + 0.0912056i
\(546\) −3.96986e6 1.91178e6i −0.569893 0.274446i
\(547\) −1.12638e6 1.41244e6i −0.160959 0.201837i 0.694811 0.719192i \(-0.255488\pi\)
−0.855771 + 0.517355i \(0.826917\pi\)
\(548\) 1.81552e6 2.27659e6i 0.258255 0.323842i
\(549\) 3.05157e7 + 1.46956e7i 4.32108 + 2.08092i
\(550\) −1.08525e6 −0.152976
\(551\) 8.74966e6 + 6.11629e6i 1.22776 + 0.858240i
\(552\) 1.74112e7 2.43210
\(553\) 2.01103e6 + 968463.i 0.279645 + 0.134670i
\(554\) 968387. 1.21432e6i 0.134052 0.168096i
\(555\) 4.18712e6 + 5.25048e6i 0.577009 + 0.723547i
\(556\) 595220. + 286643.i 0.0816565 + 0.0393237i
\(557\) −1.12476e7 + 5.41658e6i −1.53611 + 0.739754i −0.994875 0.101115i \(-0.967759\pi\)
−0.541240 + 0.840868i \(0.682045\pi\)
\(558\) −121914. + 152876.i −0.0165756 + 0.0207851i
\(559\) −1.05505e6 4.62247e6i −0.142805 0.625669i
\(560\) −9915.74 43443.7i −0.00133615 0.00585406i
\(561\) −292658. 366981.i −0.0392603 0.0492308i
\(562\) 510854. 2.23820e6i 0.0682269 0.298922i
\(563\) 1.45219e7 1.93087 0.965433 0.260650i \(-0.0839367\pi\)
0.965433 + 0.260650i \(0.0839367\pi\)
\(564\) −2.24820e6 + 9.84999e6i −0.297602 + 1.30388i
\(565\) −3.70632e6 + 1.78487e6i −0.488451 + 0.235226i
\(566\) 4.80719e6 2.31502e6i 0.630739 0.303748i
\(567\) 3.28305e6 1.43840e7i 0.428865 1.87898i
\(568\) −1.41922e6 −0.184578
\(569\) 1.50118e6 6.57708e6i 0.194380 0.851633i −0.779831 0.625991i \(-0.784695\pi\)
0.974210 0.225642i \(-0.0724480\pi\)
\(570\) −2.66634e6 3.34349e6i −0.343739 0.431035i
\(571\) 1.15177e6 + 5.04624e6i 0.147835 + 0.647706i 0.993484 + 0.113968i \(0.0363561\pi\)
−0.845650 + 0.533738i \(0.820787\pi\)
\(572\) −340125. 1.49019e6i −0.0434659 0.190437i
\(573\) −1.42030e6 + 1.78100e6i −0.180715 + 0.226609i
\(574\) 1.20929e6 582362.i 0.153197 0.0737758i
\(575\) −8.16573e6 3.93241e6i −1.02997 0.496008i
\(576\) 7.86803e6 + 9.86619e6i 0.988120 + 1.23906i
\(577\) 3.37647e6 4.23396e6i 0.422205 0.529429i −0.524551 0.851379i \(-0.675767\pi\)
0.946757 + 0.321950i \(0.104338\pi\)
\(578\) 4.31215e6 + 2.07662e6i 0.536877 + 0.258546i
\(579\) 1.90209e6 0.235795
\(580\) −791085. 1.40792e6i −0.0976458 0.173783i
\(581\) −4.53323e6 −0.557144
\(582\) −1.92300e6 926066.i −0.235327 0.113327i
\(583\) 622492. 780581.i 0.0758512 0.0951144i
\(584\) −5.41159e6 6.78592e6i −0.656587 0.823335i
\(585\) −7.09844e6 3.41843e6i −0.857577 0.412987i
\(586\) 1.99307e6 959812.i 0.239761 0.115463i
\(587\) −1.02423e6 + 1.28434e6i −0.122688 + 0.153845i −0.839382 0.543542i \(-0.817083\pi\)
0.716694 + 0.697387i \(0.245654\pi\)
\(588\) −1.74277e6 7.63555e6i −0.207872 0.910746i
\(589\) 44571.4 + 195280.i 0.00529381 + 0.0231937i
\(590\) 1.10715e6 + 1.38833e6i 0.130942 + 0.164196i
\(591\) −1.52779e6 + 6.69368e6i −0.179926 + 0.788308i
\(592\) −502870. −0.0589727
\(593\) −1.80606e6 + 7.91287e6i −0.210909 + 0.924054i 0.753041 + 0.657973i \(0.228586\pi\)
−0.963951 + 0.266081i \(0.914271\pi\)
\(594\) −4.52381e6 + 2.17855e6i −0.526063 + 0.253339i
\(595\) 138830. 66856.9i 0.0160764 0.00774201i
\(596\) −1.29948e6 + 5.69337e6i −0.149848 + 0.656529i
\(597\) −9.99338e6 −1.14756
\(598\) −1.63084e6 + 7.14519e6i −0.186491 + 0.817072i
\(599\) 2.63810e6 + 3.30808e6i 0.300417 + 0.376711i 0.909012 0.416770i \(-0.136838\pi\)
−0.608595 + 0.793481i \(0.708266\pi\)
\(600\) −3.39300e6 1.48657e7i −0.384774 1.68581i
\(601\) 3.09094e6 + 1.35423e7i 0.349063 + 1.52935i 0.779312 + 0.626636i \(0.215569\pi\)
−0.430249 + 0.902710i \(0.641574\pi\)
\(602\) 967522. 1.21323e6i 0.108810 0.136444i
\(603\) 2.19985e7 1.05939e7i 2.46376 1.18649i
\(604\) 6.74099e6 + 3.24629e6i 0.751850 + 0.362072i
\(605\) 1.62232e6 + 2.03432e6i 0.180197 + 0.225960i
\(606\) −6.81982e6 + 8.55178e6i −0.754382 + 0.945965i
\(607\) −3.96728e6 1.91054e6i −0.437040 0.210467i 0.202409 0.979301i \(-0.435123\pi\)
−0.639449 + 0.768834i \(0.720837\pi\)
\(608\) 1.38050e7 1.51452
\(609\) 4.29077e6 + 7.63640e6i 0.468805 + 0.834344i
\(610\) 3.01344e6 0.327897
\(611\) −9.86319e6 4.74986e6i −1.06884 0.514728i
\(612\) 1.17389e6 1.47201e6i 0.126691 0.158866i
\(613\) 1.76690e6 + 2.21562e6i 0.189916 + 0.238147i 0.867669 0.497143i \(-0.165618\pi\)
−0.677753 + 0.735290i \(0.737046\pi\)
\(614\) −1.23902e6 596679.i −0.132634 0.0638733i
\(615\) 2.94242e6 1.41699e6i 0.313702 0.151071i
\(616\) 802896. 1.00680e6i 0.0852526 0.106903i
\(617\) −2.83331e6 1.24135e7i −0.299627 1.31275i −0.870685 0.491842i \(-0.836324\pi\)
0.571058 0.820910i \(-0.306533\pi\)
\(618\) 2.10682e6 + 9.23058e6i 0.221899 + 0.972205i
\(619\) −2.15877e6 2.70702e6i −0.226454 0.283965i 0.655604 0.755105i \(-0.272414\pi\)
−0.882058 + 0.471140i \(0.843843\pi\)
\(620\) 6742.60 29541.3i 0.000704447 0.00308638i
\(621\) −4.19324e7 −4.36336
\(622\) −1.65007e6 + 7.22942e6i −0.171012 + 0.749252i
\(623\) −4.14142e6 + 1.99440e6i −0.427493 + 0.205870i
\(624\) 723301. 348323.i 0.0743631 0.0358114i
\(625\) −1.55224e6 + 6.80082e6i −0.158950 + 0.696404i
\(626\) 1.02029e7 1.04060
\(627\) −1.79049e6 + 7.84467e6i −0.181888 + 0.796903i
\(628\) −190546. 238938.i −0.0192798 0.0241760i
\(629\) −386941. 1.69530e6i −0.0389958 0.170852i
\(630\) −573791. 2.51394e6i −0.0575973 0.252350i
\(631\) 5.23417e6 6.56344e6i 0.523329 0.656234i −0.447983 0.894042i \(-0.647858\pi\)
0.971312 + 0.237808i \(0.0764290\pi\)
\(632\) 5.62761e6 2.71011e6i 0.560443 0.269895i
\(633\) −1.61601e7 7.78231e6i −1.60301 0.771968i
\(634\) −2.83896e6 3.55994e6i −0.280502 0.351738i
\(635\) −12774.3 + 16018.4i −0.00125719 + 0.00157647i
\(636\) 4.90983e6 + 2.36445e6i 0.481309 + 0.231786i
\(637\) 8.48618e6 0.828636
\(638\) 656285. 1.61643e6i 0.0638323 0.157219i
\(639\) 5.34709e6 0.518043
\(640\) −1.95025e6 939193.i −0.188209 0.0906368i
\(641\) 788817. 989146.i 0.0758283 0.0950857i −0.742470 0.669879i \(-0.766346\pi\)
0.818299 + 0.574793i \(0.194917\pi\)
\(642\) 436719. + 547629.i 0.0418181 + 0.0524383i
\(643\) −5.78565e6 2.78622e6i −0.551855 0.265759i 0.137108 0.990556i \(-0.456219\pi\)
−0.688963 + 0.724797i \(0.741934\pi\)
\(644\) 3.76412e6 1.81270e6i 0.357642 0.172231i
\(645\) 2.35416e6 2.95202e6i 0.222811 0.279396i
\(646\) 246403. + 1.07956e6i 0.0232308 + 0.101781i
\(647\) −4.41176e6 1.93292e7i −0.414335 1.81532i −0.563031 0.826436i \(-0.690365\pi\)
0.148697 0.988883i \(-0.452492\pi\)
\(648\) −2.57419e7 3.22794e7i −2.40826 3.01986i
\(649\) 743472. 3.25736e6i 0.0692872 0.303567i
\(650\) 6.41838e6 0.595857
\(651\) −36571.2 + 160229.i −0.00338210 + 0.0148180i
\(652\) −3.31068e6 + 1.59434e6i −0.304999 + 0.146880i
\(653\) 1.27531e7 6.14155e6i 1.17039 0.563631i 0.255295 0.966863i \(-0.417828\pi\)
0.915098 + 0.403232i \(0.132113\pi\)
\(654\) 1.91247e6 8.37908e6i 0.174844 0.766041i
\(655\) 1.60506e6 0.146180
\(656\) −54417.0 + 238417.i −0.00493714 + 0.0216310i
\(657\) 2.03888e7 + 2.55668e7i 1.84280 + 2.31080i
\(658\) −797275. 3.49309e6i −0.0717866 0.314517i
\(659\) −230802. 1.01121e6i −0.0207027 0.0907044i 0.963521 0.267632i \(-0.0862412\pi\)
−0.984224 + 0.176928i \(0.943384\pi\)
\(660\) 758930. 951669.i 0.0678176 0.0850405i
\(661\) 6.97314e6 3.35809e6i 0.620762 0.298943i −0.0969439 0.995290i \(-0.530907\pi\)
0.717705 + 0.696347i \(0.245192\pi\)
\(662\) 7.05664e6 + 3.39830e6i 0.625825 + 0.301382i
\(663\) 1.73084e6 + 2.17040e6i 0.152923 + 0.191759i
\(664\) −7.90936e6 + 9.91802e6i −0.696179 + 0.872981i
\(665\) −2.37987e6 1.14609e6i −0.208689 0.100499i
\(666\) −2.90994e7 −2.54213
\(667\) 1.07952e7 9.78440e6i 0.939542 0.851568i
\(668\) −4.70682e6 −0.408119
\(669\) −2.86374e6 1.37910e6i −0.247382 0.119133i
\(670\) 1.35444e6 1.69842e6i 0.116566 0.146170i
\(671\) −3.53514e6 4.43292e6i −0.303110 0.380088i
\(672\) 1.02053e7 + 4.91463e6i 0.871775 + 0.419825i
\(673\) −6.06015e6 + 2.91842e6i −0.515758 + 0.248376i −0.673610 0.739087i \(-0.735257\pi\)
0.157852 + 0.987463i \(0.449543\pi\)
\(674\) −4.93320e6 + 6.18604e6i −0.418292 + 0.524521i
\(675\) 8.17157e6 + 3.58020e7i 0.690313 + 3.02446i
\(676\) 332015. + 1.45465e6i 0.0279442 + 0.122431i
\(677\) 6.22734e6 + 7.80884e6i 0.522193 + 0.654809i 0.971073 0.238783i \(-0.0767483\pi\)
−0.448880 + 0.893592i \(0.648177\pi\)
\(678\) 5.39744e6 2.36477e7i 0.450935 1.97567i
\(679\) −1.31833e6 −0.109736
\(680\) 95950.6 420387.i 0.00795748 0.0348640i
\(681\) 811266. 390685.i 0.0670341 0.0322819i
\(682\) 29491.6 14202.4i 0.00242794 0.00116923i
\(683\) −188163. + 824395.i −0.0154341 + 0.0676213i −0.982059 0.188576i \(-0.939613\pi\)
0.966624 + 0.256198i \(0.0824698\pi\)
\(684\) −3.22751e7 −2.63771
\(685\) −559102. + 2.44959e6i −0.0455265 + 0.199465i
\(686\) 4.01876e6 + 5.03936e6i 0.326048 + 0.408851i
\(687\) 3.95181e6 + 1.73140e7i 0.319451 + 1.39961i
\(688\) 62913.9 + 275644.i 0.00506728 + 0.0222012i
\(689\) −3.68155e6 + 4.61651e6i −0.295449 + 0.370481i
\(690\) −5.25842e6 + 2.53232e6i −0.420467 + 0.202486i
\(691\) 1.37567e7 + 6.62490e6i 1.09602 + 0.527818i 0.892406 0.451233i \(-0.149016\pi\)
0.203618 + 0.979050i \(0.434730\pi\)
\(692\) −4.07163e6 5.10566e6i −0.323224 0.405310i
\(693\) −3.02501e6 + 3.79325e6i −0.239273 + 0.300039i
\(694\) −9.78401e6 4.71173e6i −0.771113 0.371349i
\(695\) −570055. −0.0447666
\(696\) 2.41936e7 + 3.93606e6i 1.89312 + 0.307991i
\(697\) −845634. −0.0659326
\(698\) 5.72106e6 + 2.75512e6i 0.444465 + 0.214043i
\(699\) 1.97774e7 2.48000e7i 1.53100 1.91982i
\(700\) −2.28122e6 2.86056e6i −0.175963 0.220651i
\(701\) −1.79279e6 863365.i −0.137796 0.0663589i 0.363715 0.931510i \(-0.381508\pi\)
−0.501511 + 0.865151i \(0.667222\pi\)
\(702\) 2.67547e7 1.28844e7i 2.04907 0.986782i
\(703\) −1.85855e7 + 2.33055e7i −1.41836 + 1.77856i
\(704\) −470079. 2.05955e6i −0.0357470 0.156618i
\(705\) −1.93991e6 8.49932e6i −0.146997 0.644038i
\(706\) 3.87630e6 + 4.86072e6i 0.292688 + 0.367019i
\(707\) −1.50339e6 + 6.58677e6i −0.113116 + 0.495592i
\(708\) 1.82367e7 1.36730
\(709\) 2.71515e6 1.18958e7i 0.202851 0.888750i −0.766339 0.642437i \(-0.777924\pi\)
0.969190 0.246314i \(-0.0792193\pi\)
\(710\) 428624. 206414.i 0.0319102 0.0153672i
\(711\) −2.12027e7 + 1.02107e7i −1.57296 + 0.757498i
\(712\) −2.86230e6 + 1.25405e7i −0.211599 + 0.927078i
\(713\) 273366. 0.0201382
\(714\) −202175. + 885787.i −0.0148416 + 0.0650255i
\(715\) 822330. + 1.03117e6i 0.0601563 + 0.0754336i
\(716\) 3.37736e6 + 1.47972e7i 0.246204 + 1.07869i
\(717\) 1.53179e6 + 6.71123e6i 0.111276 + 0.487533i
\(718\) −7.84621e6 + 9.83883e6i −0.568000 + 0.712250i
\(719\) 3.04327e6 1.46556e6i 0.219542 0.105726i −0.320880 0.947120i \(-0.603979\pi\)
0.540422 + 0.841394i \(0.318264\pi\)
\(720\) 423289. + 203845.i 0.0304302 + 0.0146544i
\(721\) 3.64622e6 + 4.57221e6i 0.261219 + 0.327558i
\(722\) 6.56094e6 8.22716e6i 0.468407 0.587363i
\(723\) −2.23506e7 1.07635e7i −1.59017 0.765786i
\(724\) −8.38256e6 −0.594334
\(725\) −1.04577e7 7.31023e6i −0.738906 0.516519i
\(726\) −1.53423e7 −1.08031
\(727\) −2.13249e7 1.02695e7i −1.49641 0.720632i −0.506487 0.862248i \(-0.669056\pi\)
−0.989922 + 0.141615i \(0.954770\pi\)
\(728\) −4.74849e6 + 5.95442e6i −0.332068 + 0.416400i
\(729\) 3.71981e7 + 4.66450e7i 2.59240 + 3.25077i
\(730\) 2.62133e6 + 1.26237e6i 0.182060 + 0.0876755i
\(731\) −880853. + 424196.i −0.0609691 + 0.0293612i
\(732\) 1.92956e7 2.41959e7i 1.33101 1.66903i
\(733\) 1.62521e6 + 7.12050e6i 0.111725 + 0.489498i 0.999569 + 0.0293540i \(0.00934501\pi\)
−0.887844 + 0.460144i \(0.847798\pi\)
\(734\) −2.35617e6 1.03231e7i −0.161423 0.707242i
\(735\) 4.21353e6 + 5.28360e6i 0.287692 + 0.360754i
\(736\) 4.19242e6 1.83682e7i 0.285279 1.24989i
\(737\) −4.08739e6 −0.277190
\(738\) −3.14893e6 + 1.37964e7i −0.212825 + 0.932447i
\(739\) 1.15877e6 558034.i 0.0780524 0.0375881i −0.394450 0.918917i \(-0.629065\pi\)
0.472503 + 0.881329i \(0.343351\pi\)
\(740\) 4.06280e6 1.95654e6i 0.272738 0.131344i
\(741\) 1.05893e7 4.63950e7i 0.708473 3.10402i
\(742\) −1.93255e6 −0.128861
\(743\) 907765. 3.97718e6i 0.0603255 0.264303i −0.935767 0.352619i \(-0.885291\pi\)
0.996093 + 0.0883154i \(0.0281483\pi\)
\(744\) 286749. + 359572.i 0.0189920 + 0.0238152i
\(745\) −1.12129e6 4.91268e6i −0.0740161 0.324286i
\(746\) −2.76149e6 1.20989e7i −0.181676 0.795973i
\(747\) 2.97995e7 3.73674e7i 1.95392 2.45014i
\(748\) −283968. + 136752.i −0.0185573 + 0.00893675i
\(749\) 389798. + 187717.i 0.0253884 + 0.0122264i
\(750\) 6.72171e6 + 8.42876e6i 0.436342 + 0.547155i
\(751\) −8.32588e6 + 1.04403e7i −0.538679 + 0.675483i −0.974458 0.224572i \(-0.927902\pi\)
0.435778 + 0.900054i \(0.356473\pi\)
\(752\) 588154. + 283240.i 0.0379268 + 0.0182646i
\(753\) 3.01187e7 1.93575
\(754\) −3.88140e6 + 9.55987e6i −0.248634 + 0.612384i
\(755\) −6.45599e6 −0.412188
\(756\) −1.52515e7 7.34474e6i −0.970529 0.467382i
\(757\) −5.77400e6 + 7.24037e6i −0.366216 + 0.459220i −0.930463 0.366386i \(-0.880595\pi\)
0.564247 + 0.825606i \(0.309167\pi\)
\(758\) 7.35152e6 + 9.21851e6i 0.464733 + 0.582757i
\(759\) 9.89396e6 + 4.76468e6i 0.623398 + 0.300213i
\(760\) −6.65975e6 + 3.20717e6i −0.418238 + 0.201413i
\(761\) −1.49456e7 + 1.87412e7i −0.935518 + 1.17310i 0.0491719 + 0.998790i \(0.484342\pi\)
−0.984690 + 0.174313i \(0.944230\pi\)
\(762\) −26882.0 117778.i −0.00167716 0.00734812i
\(763\) −1.18128e6 5.17551e6i −0.0734581 0.321841i
\(764\) 953695. + 1.19590e6i 0.0591121 + 0.0741242i
\(765\) −361506. + 1.58386e6i −0.0223338 + 0.0978507i
\(766\) −2.26651e6 −0.139568
\(767\) −4.39704e6 + 1.92647e7i −0.269881 + 1.18243i
\(768\) 2.78527e7 1.34132e7i 1.70398 0.820593i