Properties

Label 29.6.d.a.7.7
Level $29$
Weight $6$
Character 29.7
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 7.7
Character \(\chi\) \(=\) 29.7
Dual form 29.6.d.a.25.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.522777 + 2.29044i) q^{2} +(-22.0166 - 10.6026i) q^{3} +(23.8582 - 11.4895i) q^{4} +(18.8051 + 82.3907i) q^{5} +(12.7749 - 55.9704i) q^{6} +(123.108 + 59.2858i) q^{7} +(85.6617 + 107.416i) q^{8} +(220.807 + 276.883i) q^{9} +O(q^{10})\) \(q+(0.522777 + 2.29044i) q^{2} +(-22.0166 - 10.6026i) q^{3} +(23.8582 - 11.4895i) q^{4} +(18.8051 + 82.3907i) q^{5} +(12.7749 - 55.9704i) q^{6} +(123.108 + 59.2858i) q^{7} +(85.6617 + 107.416i) q^{8} +(220.807 + 276.883i) q^{9} +(-178.880 + 86.1439i) q^{10} +(198.633 - 249.078i) q^{11} -647.096 q^{12} +(-604.705 + 758.276i) q^{13} +(-71.4322 + 312.965i) q^{14} +(459.533 - 2013.35i) q^{15} +(327.084 - 410.151i) q^{16} +1998.65 q^{17} +(-518.751 + 650.493i) q^{18} +(-1292.05 + 622.217i) q^{19} +(1395.28 + 1749.63i) q^{20} +(-2081.84 - 2610.55i) q^{21} +(674.337 + 324.743i) q^{22} +(134.131 - 587.665i) q^{23} +(-747.083 - 3273.19i) q^{24} +(-3619.06 + 1742.85i) q^{25} +(-2052.91 - 988.628i) q^{26} +(-604.380 - 2647.96i) q^{27} +3618.31 q^{28} +(-4197.73 - 1700.07i) q^{29} +4851.68 q^{30} +(-53.2013 - 233.090i) q^{31} +(5071.53 + 2442.32i) q^{32} +(-7014.10 + 3377.81i) q^{33} +(1044.85 + 4577.79i) q^{34} +(-2569.53 + 11257.8i) q^{35} +(8449.32 + 4068.98i) q^{36} +(1368.94 + 1716.60i) q^{37} +(-2100.60 - 2634.07i) q^{38} +(21353.3 - 10283.2i) q^{39} +(-7239.23 + 9077.71i) q^{40} +1050.10 q^{41} +(4890.95 - 6133.05i) q^{42} +(2684.74 - 11762.6i) q^{43} +(1877.24 - 8224.74i) q^{44} +(-18660.3 + 23399.3i) q^{45} +1416.13 q^{46} +(8328.32 - 10443.4i) q^{47} +(-11550.0 + 5562.17i) q^{48} +(1161.84 + 1456.91i) q^{49} +(-5883.84 - 7378.10i) q^{50} +(-44003.6 - 21191.0i) q^{51} +(-5714.96 + 25038.9i) q^{52} +(-2394.89 - 10492.7i) q^{53} +(5749.03 - 2768.59i) q^{54} +(24257.0 + 11681.5i) q^{55} +(4177.40 + 18302.4i) q^{56} +35043.6 q^{57} +(1699.43 - 10503.4i) q^{58} +34472.9 q^{59} +(-12168.7 - 53314.7i) q^{60} +(-41851.5 - 20154.6i) q^{61} +(506.066 - 243.708i) q^{62} +(10767.9 + 47177.4i) q^{63} +(792.823 - 3473.58i) q^{64} +(-73846.4 - 35562.6i) q^{65} +(-11403.5 - 14299.5i) q^{66} +(8848.23 + 11095.3i) q^{67} +(47684.3 - 22963.5i) q^{68} +(-9183.91 + 11516.3i) q^{69} -27128.7 q^{70} +(-16363.8 + 20519.6i) q^{71} +(-10827.1 + 47436.6i) q^{72} +(1011.15 - 4430.15i) q^{73} +(-3216.10 + 4032.86i) q^{74} +98158.3 q^{75} +(-23677.0 + 29690.0i) q^{76} +(39220.1 - 18887.4i) q^{77} +(34716.0 + 43532.5i) q^{78} +(-34472.9 - 43227.6i) q^{79} +(39943.4 + 19235.7i) q^{80} +(4380.66 - 19192.9i) q^{81} +(548.967 + 2405.18i) q^{82} +(22793.5 - 10976.7i) q^{83} +(-79662.9 - 38363.6i) q^{84} +(37585.0 + 164670. i) q^{85} +28345.0 q^{86} +(74394.4 + 81936.8i) q^{87} +43770.2 q^{88} +(-13864.7 - 60745.2i) q^{89} +(-63349.7 - 30507.6i) q^{90} +(-119399. + 57499.6i) q^{91} +(-3551.87 - 15561.7i) q^{92} +(-1300.06 + 5695.93i) q^{93} +(28273.8 + 13615.9i) q^{94} +(-75562.0 - 94751.8i) q^{95} +(-85762.8 - 107543. i) q^{96} +(86923.6 - 41860.2i) q^{97} +(-2729.56 + 3422.76i) q^{98} +112825. 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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.522777 + 2.29044i 0.0924148 + 0.404896i 0.999884 0.0152227i \(-0.00484572\pi\)
−0.907469 + 0.420118i \(0.861989\pi\)
\(3\) −22.0166 10.6026i −1.41237 0.680160i −0.436738 0.899589i \(-0.643866\pi\)
−0.975628 + 0.219429i \(0.929581\pi\)
\(4\) 23.8582 11.4895i 0.745569 0.359047i
\(5\) 18.8051 + 82.3907i 0.336396 + 1.47385i 0.806498 + 0.591237i \(0.201360\pi\)
−0.470102 + 0.882612i \(0.655783\pi\)
\(6\) 12.7749 55.9704i 0.144870 0.634718i
\(7\) 123.108 + 59.2858i 0.949603 + 0.457305i 0.843547 0.537055i \(-0.180463\pi\)
0.106056 + 0.994360i \(0.466178\pi\)
\(8\) 85.6617 + 107.416i 0.473219 + 0.593397i
\(9\) 220.807 + 276.883i 0.908671 + 1.13944i
\(10\) −178.880 + 86.1439i −0.565667 + 0.272411i
\(11\) 198.633 249.078i 0.494959 0.620659i −0.470125 0.882600i \(-0.655791\pi\)
0.965084 + 0.261941i \(0.0843626\pi\)
\(12\) −647.096 −1.29723
\(13\) −604.705 + 758.276i −0.992396 + 1.24443i −0.0227934 + 0.999740i \(0.507256\pi\)
−0.969603 + 0.244685i \(0.921315\pi\)
\(14\) −71.4322 + 312.965i −0.0974033 + 0.426752i
\(15\) 459.533 2013.35i 0.527338 2.31042i
\(16\) 327.084 410.151i 0.319418 0.400538i
\(17\) 1998.65 1.67732 0.838659 0.544657i \(-0.183340\pi\)
0.838659 + 0.544657i \(0.183340\pi\)
\(18\) −518.751 + 650.493i −0.377379 + 0.473218i
\(19\) −1292.05 + 622.217i −0.821097 + 0.395419i −0.796769 0.604285i \(-0.793459\pi\)
−0.0243283 + 0.999704i \(0.507745\pi\)
\(20\) 1395.28 + 1749.63i 0.779988 + 0.978074i
\(21\) −2081.84 2610.55i −1.03015 1.29176i
\(22\) 674.337 + 324.743i 0.297044 + 0.143049i
\(23\) 134.131 587.665i 0.0528700 0.231638i −0.941589 0.336764i \(-0.890667\pi\)
0.994459 + 0.105126i \(0.0335246\pi\)
\(24\) −747.083 3273.19i −0.264753 1.15996i
\(25\) −3619.06 + 1742.85i −1.15810 + 0.557711i
\(26\) −2052.91 988.628i −0.595574 0.286813i
\(27\) −604.380 2647.96i −0.159551 0.699041i
\(28\) 3618.31 0.872188
\(29\) −4197.73 1700.07i −0.926870 0.375381i
\(30\) 4851.68 0.984212
\(31\) −53.2013 233.090i −0.00994302 0.0435632i 0.969713 0.244247i \(-0.0785408\pi\)
−0.979656 + 0.200684i \(0.935684\pi\)
\(32\) 5071.53 + 2442.32i 0.875516 + 0.421626i
\(33\) −7014.10 + 3377.81i −1.12121 + 0.539946i
\(34\) 1044.85 + 4577.79i 0.155009 + 0.679139i
\(35\) −2569.53 + 11257.8i −0.354555 + 1.55341i
\(36\) 8449.32 + 4068.98i 1.08659 + 0.523274i
\(37\) 1368.94 + 1716.60i 0.164392 + 0.206141i 0.857204 0.514978i \(-0.172200\pi\)
−0.692812 + 0.721118i \(0.743628\pi\)
\(38\) −2100.60 2634.07i −0.235985 0.295916i
\(39\) 21353.3 10283.2i 2.24803 1.08260i
\(40\) −7239.23 + 9077.71i −0.715389 + 0.897070i
\(41\) 1050.10 0.0975596 0.0487798 0.998810i \(-0.484467\pi\)
0.0487798 + 0.998810i \(0.484467\pi\)
\(42\) 4890.95 6133.05i 0.427829 0.536480i
\(43\) 2684.74 11762.6i 0.221427 0.970135i −0.734978 0.678091i \(-0.762807\pi\)
0.956405 0.292044i \(-0.0943354\pi\)
\(44\) 1877.24 8224.74i 0.146180 0.640457i
\(45\) −18660.3 + 23399.3i −1.37369 + 1.72255i
\(46\) 1416.13 0.0986753
\(47\) 8328.32 10443.4i 0.549937 0.689599i −0.426725 0.904381i \(-0.640333\pi\)
0.976662 + 0.214782i \(0.0689042\pi\)
\(48\) −11550.0 + 5562.17i −0.723565 + 0.348450i
\(49\) 1161.84 + 1456.91i 0.0691285 + 0.0866844i
\(50\) −5883.84 7378.10i −0.332840 0.417369i
\(51\) −44003.6 21191.0i −2.36899 1.14084i
\(52\) −5714.96 + 25038.9i −0.293092 + 1.28412i
\(53\) −2394.89 10492.7i −0.117111 0.513095i −0.999123 0.0418691i \(-0.986669\pi\)
0.882012 0.471226i \(-0.156188\pi\)
\(54\) 5749.03 2768.59i 0.268294 0.129203i
\(55\) 24257.0 + 11681.5i 1.08126 + 0.520707i
\(56\) 4177.40 + 18302.4i 0.178006 + 0.779897i
\(57\) 35043.6 1.42864
\(58\) 1699.43 10503.4i 0.0663338 0.409977i
\(59\) 34472.9 1.28928 0.644640 0.764486i \(-0.277007\pi\)
0.644640 + 0.764486i \(0.277007\pi\)
\(60\) −12168.7 53314.7i −0.436382 1.91191i
\(61\) −41851.5 20154.6i −1.44008 0.693506i −0.459238 0.888313i \(-0.651878\pi\)
−0.980842 + 0.194807i \(0.937592\pi\)
\(62\) 506.066 243.708i 0.0167197 0.00805177i
\(63\) 10767.9 + 47177.4i 0.341807 + 1.49755i
\(64\) 792.823 3473.58i 0.0241950 0.106005i
\(65\) −73846.4 35562.6i −2.16793 1.04402i
\(66\) −11403.5 14299.5i −0.322238 0.404074i
\(67\) 8848.23 + 11095.3i 0.240807 + 0.301963i 0.887518 0.460772i \(-0.152428\pi\)
−0.646711 + 0.762735i \(0.723856\pi\)
\(68\) 47684.3 22963.5i 1.25056 0.602236i
\(69\) −9183.91 + 11516.3i −0.232223 + 0.291198i
\(70\) −27128.7 −0.661734
\(71\) −16363.8 + 20519.6i −0.385246 + 0.483084i −0.936208 0.351447i \(-0.885690\pi\)
0.550961 + 0.834531i \(0.314261\pi\)
\(72\) −10827.1 + 47436.6i −0.246139 + 1.07841i
\(73\) 1011.15 4430.15i 0.0222080 0.0972997i −0.962609 0.270894i \(-0.912681\pi\)
0.984817 + 0.173594i \(0.0555380\pi\)
\(74\) −3216.10 + 4032.86i −0.0682732 + 0.0856119i
\(75\) 98158.3 2.01499
\(76\) −23677.0 + 29690.0i −0.470210 + 0.589625i
\(77\) 39220.1 18887.4i 0.753845 0.363032i
\(78\) 34716.0 + 43532.5i 0.646090 + 0.810171i
\(79\) −34472.9 43227.6i −0.621455 0.779280i 0.367094 0.930184i \(-0.380353\pi\)
−0.988548 + 0.150904i \(0.951781\pi\)
\(80\) 39943.4 + 19235.7i 0.697783 + 0.336035i
\(81\) 4380.66 19192.9i 0.0741869 0.325034i
\(82\) 548.967 + 2405.18i 0.00901595 + 0.0395014i
\(83\) 22793.5 10976.7i 0.363174 0.174895i −0.243393 0.969928i \(-0.578260\pi\)
0.606567 + 0.795032i \(0.292546\pi\)
\(84\) −79662.9 38363.6i −1.23185 0.593227i
\(85\) 37585.0 + 164670.i 0.564244 + 2.47211i
\(86\) 28345.0 0.413267
\(87\) 74394.4 + 81936.8i 1.05376 + 1.16060i
\(88\) 43770.2 0.602521
\(89\) −13864.7 60745.2i −0.185539 0.812900i −0.978931 0.204189i \(-0.934544\pi\)
0.793392 0.608710i \(-0.208313\pi\)
\(90\) −63349.7 30507.6i −0.824401 0.397010i
\(91\) −119399. + 57499.6i −1.51146 + 0.727883i
\(92\) −3551.87 15561.7i −0.0437509 0.191685i
\(93\) −1300.06 + 5695.93i −0.0155868 + 0.0682901i
\(94\) 28273.8 + 13615.9i 0.330038 + 0.158938i
\(95\) −75562.0 94751.8i −0.859003 1.07716i
\(96\) −85762.8 107543.i −0.949776 1.19098i
\(97\) 86923.6 41860.2i 0.938012 0.451723i 0.0985444 0.995133i \(-0.468581\pi\)
0.839467 + 0.543410i \(0.182867\pi\)
\(98\) −2729.56 + 3422.76i −0.0287096 + 0.0360008i
\(99\) 112825. 1.15696
\(100\) −66319.8 + 83162.4i −0.663198 + 0.831624i
\(101\) −15441.6 + 67654.1i −0.150622 + 0.659919i 0.842083 + 0.539349i \(0.181330\pi\)
−0.992705 + 0.120571i \(0.961528\pi\)
\(102\) 25532.6 111866.i 0.242993 1.06462i
\(103\) −89963.1 + 112810.i −0.835548 + 1.04774i 0.162586 + 0.986694i \(0.448016\pi\)
−0.998135 + 0.0610501i \(0.980555\pi\)
\(104\) −133251. −1.20806
\(105\) 175935. 220616.i 1.55733 1.95283i
\(106\) 22780.9 10970.7i 0.196927 0.0948352i
\(107\) −59854.2 75054.8i −0.505400 0.633752i 0.462038 0.886860i \(-0.347118\pi\)
−0.967438 + 0.253109i \(0.918547\pi\)
\(108\) −44843.2 56231.6i −0.369945 0.463896i
\(109\) 104086. + 50125.0i 0.839121 + 0.404099i 0.803528 0.595267i \(-0.202954\pi\)
0.0355931 + 0.999366i \(0.488668\pi\)
\(110\) −14074.8 + 61665.9i −0.110908 + 0.485918i
\(111\) −11939.0 52308.0i −0.0919727 0.402959i
\(112\) 64582.9 31101.5i 0.486488 0.234280i
\(113\) −59868.3 28831.1i −0.441063 0.212405i 0.200154 0.979765i \(-0.435856\pi\)
−0.641217 + 0.767360i \(0.721570\pi\)
\(114\) 18320.0 + 80265.2i 0.132027 + 0.578449i
\(115\) 50940.5 0.359185
\(116\) −119683. + 7669.08i −0.825825 + 0.0529174i
\(117\) −343477. −2.31971
\(118\) 18021.6 + 78957.8i 0.119149 + 0.522024i
\(119\) 246051. + 118492.i 1.59279 + 0.767045i
\(120\) 255631. 123105.i 1.62054 0.780412i
\(121\) 13252.5 + 58063.2i 0.0822879 + 0.360527i
\(122\) 24283.9 106395.i 0.147713 0.647172i
\(123\) −23119.6 11133.8i −0.137790 0.0663561i
\(124\) −3947.38 4949.86i −0.0230544 0.0289094i
\(125\) −46992.5 58926.8i −0.269001 0.337317i
\(126\) −102427. + 49326.5i −0.574765 + 0.276792i
\(127\) −75869.0 + 95136.8i −0.417403 + 0.523406i −0.945432 0.325820i \(-0.894360\pi\)
0.528029 + 0.849226i \(0.322931\pi\)
\(128\) 188498. 1.01691
\(129\) −183823. + 230507.i −0.972583 + 1.21958i
\(130\) 42848.5 187732.i 0.222371 0.974270i
\(131\) 12360.0 54152.5i 0.0629272 0.275702i −0.933669 0.358136i \(-0.883412\pi\)
0.996597 + 0.0824342i \(0.0262694\pi\)
\(132\) −128534. + 161177.i −0.642073 + 0.805135i
\(133\) −195950. −0.960543
\(134\) −20787.5 + 26066.7i −0.100009 + 0.125408i
\(135\) 206802. 99590.6i 0.976608 0.470309i
\(136\) 171208. + 214688.i 0.793738 + 0.995316i
\(137\) 82005.2 + 102831.i 0.373285 + 0.468084i 0.932621 0.360856i \(-0.117516\pi\)
−0.559337 + 0.828941i \(0.688944\pi\)
\(138\) −31178.4 15014.7i −0.139366 0.0671150i
\(139\) 97913.7 428988.i 0.429839 1.88325i −0.0377204 0.999288i \(-0.512010\pi\)
0.467560 0.883961i \(-0.345133\pi\)
\(140\) 68042.7 + 298115.i 0.293401 + 1.28547i
\(141\) −294089. + 141626.i −1.24575 + 0.599921i
\(142\) −55553.4 26753.1i −0.231201 0.111340i
\(143\) 68755.3 + 301237.i 0.281168 + 1.23188i
\(144\) 185786. 0.746634
\(145\) 61131.4 377823.i 0.241460 1.49234i
\(146\) 10675.6 0.0414486
\(147\) −10132.8 44394.7i −0.0386755 0.169449i
\(148\) 52383.3 + 25226.5i 0.196580 + 0.0946677i
\(149\) 18586.6 8950.83i 0.0685858 0.0330292i −0.399276 0.916831i \(-0.630739\pi\)
0.467862 + 0.883801i \(0.345024\pi\)
\(150\) 51314.9 + 224825.i 0.186215 + 0.815862i
\(151\) 80650.1 353351.i 0.287848 1.26114i −0.599624 0.800282i \(-0.704683\pi\)
0.887472 0.460862i \(-0.152460\pi\)
\(152\) −177515. 85486.9i −0.623199 0.300117i
\(153\) 441317. + 553394.i 1.52413 + 1.91120i
\(154\) 63763.7 + 79957.2i 0.216657 + 0.271679i
\(155\) 18204.0 8766.59i 0.0608608 0.0293090i
\(156\) 391302. 490677.i 1.28736 1.61430i
\(157\) −441568. −1.42971 −0.714856 0.699272i \(-0.753508\pi\)
−0.714856 + 0.699272i \(0.753508\pi\)
\(158\) 80988.4 101556.i 0.258095 0.323641i
\(159\) −58523.0 + 256406.i −0.183584 + 0.804332i
\(160\) −105854. + 463775.i −0.326893 + 1.43221i
\(161\) 51352.8 64394.4i 0.156135 0.195787i
\(162\) 46250.3 0.138461
\(163\) −168677. + 211514.i −0.497264 + 0.623549i −0.965610 0.259996i \(-0.916279\pi\)
0.468346 + 0.883545i \(0.344850\pi\)
\(164\) 25053.4 12065.1i 0.0727374 0.0350285i
\(165\) −410201. 514376.i −1.17297 1.47086i
\(166\) 37057.4 + 46468.5i 0.104377 + 0.130885i
\(167\) 225546. + 108617.i 0.625813 + 0.301375i 0.719783 0.694200i \(-0.244241\pi\)
−0.0939700 + 0.995575i \(0.529956\pi\)
\(168\) 102081. 447248.i 0.279044 1.22257i
\(169\) −126694. 555082.i −0.341223 1.49500i
\(170\) −357518. + 172172.i −0.948803 + 0.456920i
\(171\) −457575. 220356.i −1.19666 0.576283i
\(172\) −71093.5 311481.i −0.183235 0.802805i
\(173\) 43941.3 0.111624 0.0558120 0.998441i \(-0.482225\pi\)
0.0558120 + 0.998441i \(0.482225\pi\)
\(174\) −148779. + 213230.i −0.372537 + 0.533920i
\(175\) −548862. −1.35478
\(176\) −37189.7 162939.i −0.0904984 0.396499i
\(177\) −758975. 365503.i −1.82094 0.876916i
\(178\) 131885. 63512.4i 0.311993 0.150248i
\(179\) −117703. 515691.i −0.274572 1.20298i −0.904551 0.426365i \(-0.859794\pi\)
0.629979 0.776612i \(-0.283063\pi\)
\(180\) −176355. + 772662.i −0.405702 + 1.77750i
\(181\) 545112. + 262512.i 1.23677 + 0.595597i 0.933934 0.357445i \(-0.116352\pi\)
0.302836 + 0.953043i \(0.402066\pi\)
\(182\) −194118. 243417.i −0.434398 0.544718i
\(183\) 707736. + 887473.i 1.56223 + 1.95897i
\(184\) 74614.8 35932.6i 0.162473 0.0782427i
\(185\) −115688. + 145069.i −0.248519 + 0.311634i
\(186\) −13725.8 −0.0290908
\(187\) 396998. 497820.i 0.830203 1.04104i
\(188\) 78709.5 344849.i 0.162417 0.711597i
\(189\) 82582.4 361817.i 0.168164 0.736775i
\(190\) 177521. 222604.i 0.356751 0.447351i
\(191\) 575605. 1.14167 0.570836 0.821064i \(-0.306619\pi\)
0.570836 + 0.821064i \(0.306619\pi\)
\(192\) −54284.4 + 68070.5i −0.106273 + 0.133262i
\(193\) 534228. 257271.i 1.03237 0.497161i 0.160567 0.987025i \(-0.448668\pi\)
0.871799 + 0.489864i \(0.162954\pi\)
\(194\) 141320. + 177209.i 0.269587 + 0.338051i
\(195\) 1.24879e6 + 1.56593e6i 2.35181 + 2.94908i
\(196\) 44458.6 + 21410.1i 0.0826639 + 0.0398088i
\(197\) −154151. + 675378.i −0.282996 + 1.23988i 0.610936 + 0.791680i \(0.290793\pi\)
−0.893931 + 0.448204i \(0.852064\pi\)
\(198\) 58982.3 + 258418.i 0.106920 + 0.468447i
\(199\) −240637. + 115885.i −0.430755 + 0.207441i −0.636682 0.771127i \(-0.719693\pi\)
0.205927 + 0.978567i \(0.433979\pi\)
\(200\) −497225. 239451.i −0.878979 0.423294i
\(201\) −77168.3 338096.i −0.134725 0.590269i
\(202\) −163030. −0.281118
\(203\) −415984. 458159.i −0.708495 0.780326i
\(204\) −1.29332e6 −2.17586
\(205\) 19747.2 + 86518.2i 0.0328187 + 0.143788i
\(206\) −305415. 147080.i −0.501444 0.241483i
\(207\) 192332. 92622.1i 0.311979 0.150241i
\(208\) 113218. + 496040.i 0.181450 + 0.794984i
\(209\) −101663. + 445413.i −0.160989 + 0.705337i
\(210\) 597281. + 287636.i 0.934611 + 0.450085i
\(211\) −305993. 383703.i −0.473157 0.593321i 0.486784 0.873523i \(-0.338170\pi\)
−0.959941 + 0.280202i \(0.909599\pi\)
\(212\) −177694. 222821.i −0.271539 0.340500i
\(213\) 577837. 278272.i 0.872683 0.420262i
\(214\) 140618. 176329.i 0.209897 0.263202i
\(215\) 1.01962e6 1.50432
\(216\) 232662. 291749.i 0.339306 0.425476i
\(217\) 7269.42 31849.4i 0.0104797 0.0459147i
\(218\) −60394.5 + 264606.i −0.0860709 + 0.377101i
\(219\) −69233.5 + 86816.1i −0.0975452 + 0.122318i
\(220\) 712943. 0.993112
\(221\) −1.20860e6 + 1.51553e6i −1.66456 + 2.08730i
\(222\) 113567. 54690.8i 0.154657 0.0744787i
\(223\) −550333. 690096.i −0.741077 0.929281i 0.258246 0.966079i \(-0.416856\pi\)
−0.999323 + 0.0367981i \(0.988284\pi\)
\(224\) 479552. + 601339.i 0.638581 + 0.800755i
\(225\) −1.28168e6 617225.i −1.68781 0.812806i
\(226\) 34737.9 152197.i 0.0452411 0.198214i
\(227\) 69005.8 + 302334.i 0.0888834 + 0.389424i 0.999728 0.0233260i \(-0.00742558\pi\)
−0.910845 + 0.412750i \(0.864568\pi\)
\(228\) 836079. 402634.i 1.06515 0.512948i
\(229\) −277068. 133429.i −0.349138 0.168136i 0.251092 0.967963i \(-0.419210\pi\)
−0.600231 + 0.799827i \(0.704925\pi\)
\(230\) 26630.5 + 116676.i 0.0331940 + 0.145433i
\(231\) −1.06375e6 −1.31162
\(232\) −176969. 596536.i −0.215862 0.727640i
\(233\) 734089. 0.885848 0.442924 0.896559i \(-0.353941\pi\)
0.442924 + 0.896559i \(0.353941\pi\)
\(234\) −179562. 786712.i −0.214375 0.939239i
\(235\) 1.01705e6 + 489787.i 1.20136 + 0.578545i
\(236\) 822460. 396076.i 0.961247 0.462912i
\(237\) 300649. + 1.31723e6i 0.347687 + 1.52332i
\(238\) −142768. + 625508.i −0.163376 + 0.715798i
\(239\) 510583. + 245884.i 0.578192 + 0.278443i 0.700037 0.714107i \(-0.253167\pi\)
−0.121845 + 0.992549i \(0.538881\pi\)
\(240\) −675469. 847012.i −0.756968 0.949208i
\(241\) 351039. + 440188.i 0.389325 + 0.488198i 0.937412 0.348224i \(-0.113215\pi\)
−0.548087 + 0.836422i \(0.684644\pi\)
\(242\) −126062. + 60708.2i −0.138371 + 0.0666360i
\(243\) −711448. + 892128.i −0.772908 + 0.969195i
\(244\) −1.23007e6 −1.32268
\(245\) −98186.8 + 123122.i −0.104505 + 0.131045i
\(246\) 13414.9 58774.4i 0.0141335 0.0619228i
\(247\) 309495. 1.35599e6i 0.322783 1.41421i
\(248\) 20480.4 25681.6i 0.0211451 0.0265151i
\(249\) −618217. −0.631892
\(250\) 110401. 138439.i 0.111718 0.140090i
\(251\) 744054. 358317.i 0.745452 0.358991i −0.0222883 0.999752i \(-0.507095\pi\)
0.767741 + 0.640761i \(0.221381\pi\)
\(252\) 798948. + 1.00185e6i 0.792533 + 0.993805i
\(253\) −119732. 150139.i −0.117600 0.147466i
\(254\) −257567. 124038.i −0.250499 0.120634i
\(255\) 918448. 4.02398e6i 0.884513 3.87531i
\(256\) 73171.9 + 320587.i 0.0697821 + 0.305735i
\(257\) −1.09876e6 + 529135.i −1.03770 + 0.499728i −0.873564 0.486710i \(-0.838197\pi\)
−0.164133 + 0.986438i \(0.552483\pi\)
\(258\) −624061. 300532.i −0.583684 0.281087i
\(259\) 66758.0 + 292486.i 0.0618378 + 0.270929i
\(260\) −2.17044e6 −1.99120
\(261\) −456166. 1.53767e6i −0.414497 1.39721i
\(262\) 130494. 0.117446
\(263\) −190243. 833507.i −0.169597 0.743054i −0.986160 0.165797i \(-0.946980\pi\)
0.816563 0.577257i \(-0.195877\pi\)
\(264\) −963672. 464080.i −0.850980 0.409811i
\(265\) 819465. 394634.i 0.716829 0.345207i
\(266\) −102438. 448812.i −0.0887684 0.388920i
\(267\) −338806. + 1.48441e6i −0.290853 + 1.27431i
\(268\) 338583. + 163053.i 0.287957 + 0.138673i
\(269\) 619781. + 777181.i 0.522225 + 0.654849i 0.971080 0.238755i \(-0.0767394\pi\)
−0.448855 + 0.893605i \(0.648168\pi\)
\(270\) 336217. + 421603.i 0.280679 + 0.351961i
\(271\) −1.01151e6 + 487118.i −0.836656 + 0.402912i −0.802607 0.596508i \(-0.796554\pi\)
−0.0340488 + 0.999420i \(0.510840\pi\)
\(272\) 653728. 819749.i 0.535766 0.671829i
\(273\) 3.23841e6 2.62982
\(274\) −192658. + 241586.i −0.155028 + 0.194399i
\(275\) −284760. + 1.24761e6i −0.227063 + 0.994829i
\(276\) −86795.5 + 380276.i −0.0685843 + 0.300487i
\(277\) −71793.8 + 90026.6i −0.0562196 + 0.0704971i −0.809146 0.587607i \(-0.800070\pi\)
0.752927 + 0.658104i \(0.228641\pi\)
\(278\) 1.03376e6 0.802243
\(279\) 52791.6 66198.6i 0.0406026 0.0509141i
\(280\) −1.42939e6 + 688357.i −1.08957 + 0.524709i
\(281\) −1.09726e6 1.37592e6i −0.828982 1.03951i −0.998541 0.0539903i \(-0.982806\pi\)
0.169560 0.985520i \(-0.445765\pi\)
\(282\) −478127. 599553.i −0.358031 0.448957i
\(283\) 693341. + 333895.i 0.514613 + 0.247825i 0.673120 0.739533i \(-0.264954\pi\)
−0.158507 + 0.987358i \(0.550668\pi\)
\(284\) −154651. + 677572.i −0.113778 + 0.498494i
\(285\) 659000. + 2.88727e6i 0.480589 + 2.10560i
\(286\) −654020. + 314959.i −0.472798 + 0.227688i
\(287\) 129276. + 62255.9i 0.0926429 + 0.0446145i
\(288\) 443592. + 1.94350e6i 0.315139 + 1.38072i
\(289\) 2.57476e6 1.81339
\(290\) 897338. 57499.8i 0.626558 0.0401487i
\(291\) −2.35759e6 −1.63206
\(292\) −26776.0 117313.i −0.0183776 0.0805174i
\(293\) −1.35851e6 654223.i −0.924471 0.445202i −0.0898054 0.995959i \(-0.528625\pi\)
−0.834665 + 0.550758i \(0.814339\pi\)
\(294\) 96386.0 46417.1i 0.0650348 0.0313191i
\(295\) 648267. + 2.84024e6i 0.433709 + 1.90020i
\(296\) −67124.8 + 294093.i −0.0445301 + 0.195099i
\(297\) −779598. 375434.i −0.512837 0.246969i
\(298\) 30218.0 + 37892.1i 0.0197117 + 0.0247177i
\(299\) 364503. + 457072.i 0.235789 + 0.295670i
\(300\) 2.34188e6 1.12779e6i 1.50232 0.723478i
\(301\) 1.02787e6 1.28891e6i 0.653915 0.819984i
\(302\) 851490. 0.537233
\(303\) 1.05728e6 1.32579e6i 0.661584 0.829600i
\(304\) −167405. + 733451.i −0.103893 + 0.455184i
\(305\) 873530. 3.82718e6i 0.537685 2.35575i
\(306\) −1.03680e6 + 1.30011e6i −0.632984 + 0.793737i
\(307\) −2.62827e6 −1.59156 −0.795781 0.605584i \(-0.792940\pi\)
−0.795781 + 0.605584i \(0.792940\pi\)
\(308\) 718714. 901239.i 0.431697 0.541331i
\(309\) 3.17677e6 1.52985e6i 1.89273 0.911493i
\(310\) 29595.9 + 37112.1i 0.0174915 + 0.0219337i
\(311\) −1.68061e6 2.10741e6i −0.985292 1.23552i −0.971848 0.235608i \(-0.924292\pi\)
−0.0134440 0.999910i \(-0.504279\pi\)
\(312\) 2.93374e6 + 1.41282e6i 1.70622 + 0.821673i
\(313\) −732342. + 3.20860e6i −0.422526 + 1.85121i 0.0949130 + 0.995486i \(0.469743\pi\)
−0.517439 + 0.855720i \(0.673114\pi\)
\(314\) −230841. 1.01138e6i −0.132126 0.578884i
\(315\) −3.68448e6 + 1.77435e6i −2.09219 + 1.00754i
\(316\) −1.31912e6 635257.i −0.743135 0.357875i
\(317\) 532911. + 2.33483e6i 0.297856 + 1.30499i 0.873313 + 0.487160i \(0.161967\pi\)
−0.575457 + 0.817832i \(0.695176\pi\)
\(318\) −617876. −0.342636
\(319\) −1.25726e6 + 707869.i −0.691746 + 0.389472i
\(320\) 301100. 0.164375
\(321\) 522008. + 2.28707e6i 0.282758 + 1.23884i
\(322\) 174337. + 83956.4i 0.0937024 + 0.0451247i
\(323\) −2.58236e6 + 1.24360e6i −1.37724 + 0.663244i
\(324\) −116003. 508241.i −0.0613911 0.268972i
\(325\) 866904. 3.79815e6i 0.455263 1.99464i
\(326\) −572640. 275769.i −0.298427 0.143715i
\(327\) −1.76016e6 2.20717e6i −0.910294 1.14147i
\(328\) 89953.1 + 112798.i 0.0461670 + 0.0578916i
\(329\) 1.64443e6 791916.i 0.837579 0.403357i
\(330\) 963702. 1.20844e6i 0.487144 0.610860i
\(331\) −1.70274e6 −0.854235 −0.427118 0.904196i \(-0.640471\pi\)
−0.427118 + 0.904196i \(0.640471\pi\)
\(332\) 417693. 523771.i 0.207976 0.260793i
\(333\) −173025. + 758073.i −0.0855065 + 0.374628i
\(334\) −130871. + 573382.i −0.0641913 + 0.281240i
\(335\) −747760. + 937661.i −0.364041 + 0.456493i
\(336\) −1.75165e6 −0.846448
\(337\) 1.73453e6 2.17503e6i 0.831966 1.04325i −0.166397 0.986059i \(-0.553213\pi\)
0.998363 0.0571940i \(-0.0182154\pi\)
\(338\) 1.20515e6 580368.i 0.573784 0.276320i
\(339\) 1.01241e6 + 1.26952e6i 0.478474 + 0.599987i
\(340\) 2.78869e6 + 3.49691e6i 1.30829 + 1.64054i
\(341\) −68625.1 33048.1i −0.0319593 0.0153908i
\(342\) 265503. 1.16324e6i 0.122745 0.537781i
\(343\) −454362. 1.99069e6i −0.208529 0.913626i
\(344\) 1.49348e6 719220.i 0.680459 0.327692i
\(345\) −1.12154e6 540104.i −0.507301 0.244303i
\(346\) 22971.5 + 100645.i 0.0103157 + 0.0451961i
\(347\) 1.26255e6 0.562892 0.281446 0.959577i \(-0.409186\pi\)
0.281446 + 0.959577i \(0.409186\pi\)
\(348\) 2.71633e6 + 1.10011e6i 1.20236 + 0.486954i
\(349\) −2.77288e6 −1.21862 −0.609308 0.792934i \(-0.708553\pi\)
−0.609308 + 0.792934i \(0.708553\pi\)
\(350\) −286933. 1.25713e6i −0.125202 0.548544i
\(351\) 2.37336e6 + 1.14295e6i 1.02824 + 0.495175i
\(352\) 1.61570e6 778079.i 0.695030 0.334709i
\(353\) 375620. + 1.64570e6i 0.160440 + 0.702933i 0.989591 + 0.143908i \(0.0459670\pi\)
−0.829151 + 0.559024i \(0.811176\pi\)
\(354\) 440387. 1.92946e6i 0.186778 0.818329i
\(355\) −1.99834e6 962352.i −0.841588 0.405287i
\(356\) −1.02872e6 1.28997e6i −0.430201 0.539455i
\(357\) −4.16088e6 5.21758e6i −1.72788 2.16670i
\(358\) 1.11963e6 539183.i 0.461706 0.222346i
\(359\) −1.80436e6 + 2.26259e6i −0.738901 + 0.926553i −0.999241 0.0389641i \(-0.987594\pi\)
0.260339 + 0.965517i \(0.416166\pi\)
\(360\) −4.11194e6 −1.67221
\(361\) −261591. + 328024.i −0.105646 + 0.132476i
\(362\) −316295. + 1.38578e6i −0.126859 + 0.555805i
\(363\) 323847. 1.41887e6i 0.128995 0.565165i
\(364\) −2.18801e6 + 2.74367e6i −0.865556 + 1.08537i
\(365\) 384018. 0.150876
\(366\) −1.66271e6 + 2.08497e6i −0.648805 + 0.813576i
\(367\) −285317. + 137401.i −0.110576 + 0.0532508i −0.488354 0.872646i \(-0.662403\pi\)
0.377778 + 0.925896i \(0.376688\pi\)
\(368\) −197159. 247230.i −0.0758923 0.0951659i
\(369\) 231869. + 290755.i 0.0886496 + 0.111163i
\(370\) −392750. 189138.i −0.149146 0.0718249i
\(371\) 327238. 1.43372e6i 0.123432 0.540792i
\(372\) 34426.4 + 150832.i 0.0128983 + 0.0565113i
\(373\) −3.87685e6 + 1.86699e6i −1.44280 + 0.694818i −0.981329 0.192335i \(-0.938394\pi\)
−0.461475 + 0.887153i \(0.652680\pi\)
\(374\) 1.34777e6 + 649050.i 0.498236 + 0.239938i
\(375\) 409837. + 1.79561e6i 0.150499 + 0.659378i
\(376\) 1.83521e6 0.669447
\(377\) 3.82751e6 2.15499e6i 1.38696 0.780894i
\(378\) 871891. 0.313858
\(379\) 141711. + 620876.i 0.0506763 + 0.222027i 0.993925 0.110060i \(-0.0351043\pi\)
−0.943249 + 0.332087i \(0.892247\pi\)
\(380\) −2.89142e6 1.39244e6i −1.02719 0.494671i
\(381\) 2.67908e6 1.29018e6i 0.945525 0.455341i
\(382\) 300913. + 1.31839e6i 0.105507 + 0.462258i
\(383\) −447575. + 1.96095e6i −0.155908 + 0.683078i 0.835192 + 0.549959i \(0.185357\pi\)
−0.991100 + 0.133120i \(0.957501\pi\)
\(384\) −4.15008e6 1.99857e6i −1.43624 0.691659i
\(385\) 2.29368e6 + 2.87619e6i 0.788646 + 0.988930i
\(386\) 868544. + 1.08912e6i 0.296704 + 0.372055i
\(387\) 3.84968e6 1.85391e6i 1.30661 0.629232i
\(388\) 1.59289e6 1.99742e6i 0.537163 0.673581i
\(389\) 2.21382e6 0.741768 0.370884 0.928679i \(-0.379055\pi\)
0.370884 + 0.928679i \(0.379055\pi\)
\(390\) −2.93383e6 + 3.67891e6i −0.976728 + 1.22478i
\(391\) 268081. 1.17454e6i 0.0886797 0.388531i
\(392\) −56970.0 + 249602.i −0.0187254 + 0.0820414i
\(393\) −846284. + 1.06121e6i −0.276398 + 0.346592i
\(394\) −1.62750e6 −0.528177
\(395\) 2.91328e6 3.65314e6i 0.939485 1.17808i
\(396\) 2.69180e6 1.29630e6i 0.862591 0.415402i
\(397\) 3.27973e6 + 4.11265e6i 1.04439 + 1.30962i 0.949375 + 0.314144i \(0.101717\pi\)
0.0950115 + 0.995476i \(0.469711\pi\)
\(398\) −391227. 490583.i −0.123800 0.155240i
\(399\) 4.31416e6 + 2.07759e6i 1.35664 + 0.653323i
\(400\) −468907. + 2.05442e6i −0.146534 + 0.642006i
\(401\) 740272. + 3.24334e6i 0.229895 + 1.00724i 0.949725 + 0.313087i \(0.101363\pi\)
−0.719829 + 0.694151i \(0.755780\pi\)
\(402\) 734046. 353498.i 0.226547 0.109099i
\(403\) 208918. + 100610.i 0.0640786 + 0.0308586i
\(404\) 408903. + 1.79152e6i 0.124643 + 0.546096i
\(405\) 1.66370e6 0.504008
\(406\) 831916. 1.19230e6i 0.250475 0.358980i
\(407\) 699482. 0.209310
\(408\) −1.49316e6 6.54197e6i −0.444075 1.94562i
\(409\) −2.56167e6 1.23364e6i −0.757208 0.364652i 0.0151122 0.999886i \(-0.495189\pi\)
−0.772320 + 0.635234i \(0.780904\pi\)
\(410\) −187841. + 90459.5i −0.0551862 + 0.0265763i
\(411\) −715194. 3.13347e6i −0.208843 0.914999i
\(412\) −850225. + 3.72508e6i −0.246769 + 1.08117i
\(413\) 4.24389e6 + 2.04375e6i 1.22430 + 0.589594i
\(414\) 312692. + 392103.i 0.0896635 + 0.112434i
\(415\) 1.33302e6 + 1.67155e6i 0.379940 + 0.476430i
\(416\) −4.91873e6 + 2.36873e6i −1.39354 + 0.671094i
\(417\) −6.70413e6 + 8.40671e6i −1.88800 + 2.36748i
\(418\) −1.07334e6 −0.300466
\(419\) −2.49689e6 + 3.13100e6i −0.694806 + 0.871260i −0.996624 0.0821061i \(-0.973835\pi\)
0.301817 + 0.953366i \(0.402407\pi\)
\(420\) 1.66273e6 7.28491e6i 0.459938 2.01512i
\(421\) −21515.3 + 94264.7i −0.00591619 + 0.0259205i −0.977800 0.209541i \(-0.932803\pi\)
0.971884 + 0.235462i \(0.0756602\pi\)
\(422\) 718882. 901449.i 0.196506 0.246411i
\(423\) 4.73055e6 1.28547
\(424\) 921938. 1.15607e6i 0.249050 0.312299i
\(425\) −7.23325e6 + 3.48335e6i −1.94250 + 0.935459i
\(426\) 939443. + 1.17802e6i 0.250811 + 0.314507i
\(427\) −3.95738e6 4.96240e6i −1.05036 1.31711i
\(428\) −2.29036e6 1.10298e6i −0.604357 0.291043i
\(429\) 1.68015e6 7.36120e6i 0.440762 1.93110i
\(430\) 533031. + 2.33536e6i 0.139021 + 0.609093i
\(431\) 4.31047e6 2.07581e6i 1.11772 0.538263i 0.218529 0.975830i \(-0.429874\pi\)
0.899186 + 0.437567i \(0.144160\pi\)
\(432\) −1.28375e6 618220.i −0.330956 0.159380i
\(433\) −1.07649e6 4.71641e6i −0.275925 1.20890i −0.902895 0.429861i \(-0.858562\pi\)
0.626970 0.779043i \(-0.284295\pi\)
\(434\) 76749.3 0.0195592
\(435\) −5.35183e6 + 7.67024e6i −1.35606 + 1.94351i
\(436\) 3.05921e6 0.770713
\(437\) 192352. + 842750.i 0.0481830 + 0.211103i
\(438\) −235040. 113189.i −0.0585406 0.0281917i
\(439\) 2.86191e6 1.37822e6i 0.708752 0.341317i −0.0445359 0.999008i \(-0.514181\pi\)
0.753288 + 0.657691i \(0.228467\pi\)
\(440\) 823105. + 3.60626e6i 0.202686 + 0.888025i
\(441\) −146850. + 643390.i −0.0359564 + 0.157535i
\(442\) −4.10305e6 1.97593e6i −0.998967 0.481077i
\(443\) −1.92075e6 2.40855e6i −0.465010 0.583104i 0.492931 0.870068i \(-0.335925\pi\)
−0.957941 + 0.286964i \(0.907354\pi\)
\(444\) −885835. 1.11080e6i −0.213253 0.267411i
\(445\) 4.74411e6 2.28464e6i 1.13568 0.546913i
\(446\) 1.29292e6 1.62127e6i 0.307775 0.385938i
\(447\) −504116. −0.119333
\(448\) 303537. 380624.i 0.0714524 0.0895985i
\(449\) 804713. 3.52568e6i 0.188376 0.825328i −0.789097 0.614268i \(-0.789451\pi\)
0.977473 0.211060i \(-0.0676915\pi\)
\(450\) 743680. 3.25828e6i 0.173123 0.758502i
\(451\) 208584. 261556.i 0.0482880 0.0605512i
\(452\) −1.75961e6 −0.405107
\(453\) −5.52210e6 + 6.92449e6i −1.26433 + 1.58541i
\(454\) −656402. + 316106.i −0.149462 + 0.0719770i
\(455\) −6.98275e6 8.75609e6i −1.58124 1.98281i
\(456\) 3.00190e6 + 3.76426e6i 0.676058 + 0.847750i
\(457\) −997306. 480277.i −0.223377 0.107573i 0.318849 0.947806i \(-0.396704\pi\)
−0.542225 + 0.840233i \(0.682418\pi\)
\(458\) 160765. 704359.i 0.0358120 0.156903i
\(459\) −1.20795e6 5.29236e6i −0.267618 1.17251i
\(460\) 1.21535e6 585281.i 0.267797 0.128964i
\(461\) 3.29964e6 + 1.58902e6i 0.723127 + 0.348239i 0.758977 0.651118i \(-0.225700\pi\)
−0.0358501 + 0.999357i \(0.511414\pi\)
\(462\) −556104. 2.43645e6i −0.121214 0.531071i
\(463\) 2.63488e6 0.571227 0.285613 0.958345i \(-0.407803\pi\)
0.285613 + 0.958345i \(0.407803\pi\)
\(464\) −2.07030e6 + 1.16563e6i −0.446414 + 0.251343i
\(465\) −493739. −0.105893
\(466\) 383765. + 1.68138e6i 0.0818654 + 0.358676i
\(467\) −1.53281e6 738161.i −0.325233 0.156624i 0.264141 0.964484i \(-0.414912\pi\)
−0.589375 + 0.807860i \(0.700626\pi\)
\(468\) −8.19475e6 + 3.94638e6i −1.72950 + 0.832884i
\(469\) 431495. + 1.89050e6i 0.0905823 + 0.396867i
\(470\) −590133. + 2.58554e6i −0.123227 + 0.539892i
\(471\) 9.72183e6 + 4.68179e6i 2.01928 + 0.972432i
\(472\) 2.95300e6 + 3.70295e6i 0.610111 + 0.765055i
\(473\) −2.39652e6 3.00515e6i −0.492526 0.617608i
\(474\) −2.85985e6 + 1.37723e6i −0.584653 + 0.281554i
\(475\) 3.59157e6 4.50368e6i 0.730382 0.915870i
\(476\) 7.23174e6 1.46294
\(477\) 2.37645e6 2.97997e6i 0.478225 0.599675i
\(478\) −296260. + 1.29800e6i −0.0593067 + 0.259840i
\(479\) −729685. + 3.19696e6i −0.145310 + 0.636646i 0.848841 + 0.528649i \(0.177301\pi\)
−0.994151 + 0.107998i \(0.965556\pi\)
\(480\) 7.24777e6 9.08842e6i 1.43583 1.80047i
\(481\) −2.12946e6 −0.419668
\(482\) −824708. + 1.03415e6i −0.161690 + 0.202753i
\(483\) −1.81337e6 + 873271.i −0.353686 + 0.170326i
\(484\) 983300. + 1.23302e6i 0.190797 + 0.239252i
\(485\) 5.08350e6 + 6.37451e6i 0.981315 + 1.23053i
\(486\) −2.41529e6 1.16314e6i −0.463851 0.223379i
\(487\) −331009. + 1.45024e6i −0.0632437 + 0.277089i −0.996655 0.0817182i \(-0.973959\pi\)
0.933412 + 0.358807i \(0.116816\pi\)
\(488\) −1.42014e6 6.22202e6i −0.269948 1.18272i
\(489\) 5.95630e6 2.86841e6i 1.12643 0.542461i
\(490\) −333333. 160525.i −0.0627175 0.0302032i
\(491\) 943530. + 4.13387e6i 0.176625 + 0.773844i 0.983173 + 0.182676i \(0.0584759\pi\)
−0.806548 + 0.591168i \(0.798667\pi\)
\(492\) −679514. −0.126557
\(493\) −8.38980e6 3.39786e6i −1.55466 0.629634i
\(494\) 3.26759e6 0.602436
\(495\) 2.12169e6 + 9.29572e6i 0.389196 + 1.70518i
\(496\) −113003. 54419.6i −0.0206247 0.00993232i
\(497\) −3.23104e6 + 1.55599e6i −0.586748 + 0.282563i
\(498\) −323190. 1.41599e6i −0.0583961 0.255850i
\(499\) 1.00796e6 4.41614e6i 0.181213 0.793947i −0.799841 0.600212i \(-0.795083\pi\)
0.981054 0.193735i \(-0.0620601\pi\)
\(500\) −1.79820e6 865966.i −0.321671 0.154909i
\(501\) −3.81413e6 4.78277e6i −0.678893 0.851305i
\(502\) 1.20968e6 + 1.51689e6i 0.214245 + 0.268654i
\(503\) −1.64925e6 + 794239.i −0.290648 + 0.139969i −0.573526 0.819187i \(-0.694425\pi\)
0.282878 + 0.959156i \(0.408711\pi\)
\(504\) −4.14522e6 + 5.19795e6i −0.726895 + 0.911498i
\(505\) −5.86445e6 −1.02329
\(506\) 281290. 352726.i 0.0488402 0.0612437i
\(507\) −3.09597e6 + 1.35643e7i −0.534905 + 2.34357i
\(508\) −717025. + 3.14149e6i −0.123275 + 0.540103i
\(509\) 1.54605e6 1.93869e6i 0.264503 0.331676i −0.631789 0.775140i \(-0.717679\pi\)
0.896292 + 0.443464i \(0.146251\pi\)
\(510\) 9.69682e6 1.65084
\(511\) 387127. 485441.i 0.0655844 0.0822403i
\(512\) 4.73854e6 2.28196e6i 0.798859 0.384710i
\(513\) 2.42850e6 + 3.04524e6i 0.407421 + 0.510890i
\(514\) −1.78636e6 2.24002e6i −0.298236 0.373976i
\(515\) −1.09863e7 5.29071e6i −1.82529 0.879015i
\(516\) −1.73728e6 + 7.61153e6i −0.287241 + 1.25848i
\(517\) −946936. 4.14880e6i −0.155810 0.682646i
\(518\) −635020. + 305810.i −0.103983 + 0.0500757i
\(519\) −967439. 465894.i −0.157654 0.0759222i
\(520\) −2.50581e6 1.09787e7i −0.406387 1.78050i
\(521\) −2.33587e6 −0.377012 −0.188506 0.982072i \(-0.560364\pi\)
−0.188506 + 0.982072i \(0.560364\pi\)
\(522\) 3.28346e6 1.84868e6i 0.527418 0.296951i
\(523\) 1.45387e6 0.232419 0.116210 0.993225i \(-0.462926\pi\)
0.116210 + 0.993225i \(0.462926\pi\)
\(524\) −327299. 1.43399e6i −0.0520735 0.228149i
\(525\) 1.20841e7 + 5.81939e6i 1.91344 + 0.921466i
\(526\) 1.80964e6 871477.i 0.285186 0.137338i
\(527\) −106331. 465867.i −0.0166776 0.0730693i
\(528\) −908789. + 3.98167e6i −0.141866 + 0.621556i
\(529\) 5.47159e6 + 2.63498e6i 0.850108 + 0.409390i
\(530\) 1.33228e6 + 1.67063e6i 0.206018 + 0.258339i
\(531\) 7.61185e6 + 9.54496e6i 1.17153 + 1.46905i
\(532\) −4.67502e6 + 2.25137e6i −0.716151 + 0.344880i
\(533\) −634999. + 796263.i −0.0968177 + 0.121406i
\(534\) −3.57706e6 −0.542841
\(535\) 5.05825e6 6.34284e6i 0.764039 0.958075i
\(536\) −433866. + 1.90089e6i −0.0652294 + 0.285789i
\(537\) −2.87627e6 + 1.26017e7i −0.430421 + 1.88580i
\(538\) −1.45608e6 + 1.82586e6i −0.216884 + 0.271964i
\(539\) 593662. 0.0880172
\(540\) 3.78968e6 4.75210e6i 0.559265 0.701296i
\(541\) 4.12691e6 1.98742e6i 0.606223 0.291941i −0.105481 0.994421i \(-0.533638\pi\)
0.711704 + 0.702480i \(0.247924\pi\)
\(542\) −1.64451e6 2.06214e6i −0.240457 0.301523i
\(543\) −9.21819e6 1.15592e7i −1.34167 1.68240i
\(544\) 1.01362e7 + 4.88135e6i 1.46852 + 0.707201i
\(545\) −2.17249e6 + 9.51829e6i −0.313304 + 1.37268i
\(546\) 1.69297e6 + 7.41737e6i 0.243034 + 1.06480i
\(547\) 2.30034e6 1.10778e6i 0.328718 0.158302i −0.262244 0.965002i \(-0.584463\pi\)
0.590962 + 0.806699i \(0.298748\pi\)
\(548\) 3.13798e6 + 1.51117e6i 0.446374 + 0.214962i
\(549\) −3.66063e6 1.60383e7i −0.518352 2.27105i
\(550\) −3.00644e6 −0.423786
\(551\) 6.48147e6 415321.i 0.909483 0.0582781i
\(552\) −2.02375e6 −0.282688
\(553\) −1.68111e6 7.36542e6i −0.233767 1.02420i
\(554\) −243732. 117375.i −0.0337395 0.0162481i
\(555\) 4.08518e6 1.96732e6i 0.562961 0.271108i
\(556\) −2.59281e6 1.13599e7i −0.355700 1.55843i
\(557\) 2.64881e6 1.16052e7i 0.361754 1.58495i −0.386988 0.922085i \(-0.626484\pi\)
0.748742 0.662862i \(-0.230658\pi\)
\(558\) 179222. + 86308.7i 0.0243672 + 0.0117346i
\(559\) 7.29582e6 + 9.14867e6i 0.987517 + 1.23831i
\(560\) 3.77696e6 + 4.73616e6i 0.508947 + 0.638199i
\(561\) −1.40188e7 + 6.75108e6i −1.88063 + 0.905662i
\(562\) 2.57784e6 3.23251e6i 0.344283 0.431717i
\(563\) −51663.8 −0.00686935 −0.00343468 0.999994i \(-0.501093\pi\)
−0.00343468 + 0.999994i \(0.501093\pi\)
\(564\) −5.38922e6 + 6.75787e6i −0.713392 + 0.894566i
\(565\) 1.24958e6 5.47476e6i 0.164681 0.721513i
\(566\) −402303. + 1.76261e6i −0.0527852 + 0.231267i
\(567\) 1.67717e6 2.10310e6i 0.219088 0.274727i
\(568\) −3.60589e6 −0.468966
\(569\) −4.85996e6 + 6.09419e6i −0.629291 + 0.789106i −0.989618 0.143720i \(-0.954094\pi\)
0.360327 + 0.932826i \(0.382665\pi\)
\(570\) −6.26859e6 + 3.01880e6i −0.808133 + 0.389176i
\(571\) −8.92756e6 1.11948e7i −1.14589 1.43690i −0.881313 0.472534i \(-0.843339\pi\)
−0.264576 0.964365i \(-0.585232\pi\)
\(572\) 5.10144e6 + 6.39700e6i 0.651933 + 0.817498i
\(573\) −1.26729e7 6.10294e6i −1.61246 0.776519i
\(574\) −75010.7 + 328643.i −0.00950263 + 0.0416337i
\(575\) 538784. + 2.36057e6i 0.0679587 + 0.297746i
\(576\) 1.13684e6 547473.i 0.142772 0.0687553i
\(577\) 6.61782e6 + 3.18697e6i 0.827514 + 0.398510i 0.799182 0.601089i \(-0.205266\pi\)
0.0283317 + 0.999599i \(0.490981\pi\)
\(578\) 1.34603e6 + 5.89732e6i 0.167584 + 0.734236i
\(579\) −1.44896e7 −1.79623
\(580\) −2.88252e6 9.71656e6i −0.355797 1.19934i
\(581\) 3.45683e6 0.424852
\(582\) −1.23249e6 5.39991e6i −0.150826 0.660814i
\(583\) −3.08920e6 1.48768e6i −0.376422 0.181275i
\(584\) 562488. 270880.i 0.0682466 0.0328659i
\(585\) −6.45913e6 2.82993e7i −0.780341 3.41890i
\(586\) 788259. 3.45359e6i 0.0948254 0.415457i
\(587\) −3.62887e6 1.74757e6i −0.434687 0.209334i 0.203726 0.979028i \(-0.434695\pi\)
−0.638413 + 0.769694i \(0.720409\pi\)
\(588\) −751824. 942757.i −0.0896753 0.112449i
\(589\) 213771. + 268061.i 0.0253899 + 0.0318380i
\(590\) −6.16649e6 + 2.96963e6i −0.729303 + 0.351214i
\(591\) 1.05547e7 1.32351e7i 1.24301 1.55869i
\(592\) 1.15182e6 0.135077
\(593\) 7.76428e6 9.73610e6i 0.906702 1.13697i −0.0833861 0.996517i \(-0.526573\pi\)
0.990088 0.140451i \(-0.0448551\pi\)
\(594\) 452353. 1.98189e6i 0.0526031 0.230469i
\(595\) −5.13560e6 + 2.25005e7i −0.594701 + 2.60556i
\(596\) 340602. 427102.i 0.0392764 0.0492511i
\(597\) 6.52671e6 0.749477
\(598\) −856341. + 1.07382e6i −0.0979250 + 0.122794i
\(599\) −6.85983e6 + 3.30352e6i −0.781171 + 0.376192i −0.781578 0.623808i \(-0.785585\pi\)
0.000406569 1.00000i \(0.499871\pi\)
\(600\) 8.40841e6 + 1.05438e7i 0.953532 + 1.19569i
\(601\) −5.00328e6 6.27392e6i −0.565027 0.708521i 0.414452 0.910071i \(-0.363973\pi\)
−0.979478 + 0.201551i \(0.935402\pi\)
\(602\) 3.48950e6 + 1.68046e6i 0.392439 + 0.188989i
\(603\) −1.11836e6 + 4.89986e6i −0.125253 + 0.548770i
\(604\) −2.13566e6 9.35696e6i −0.238199 1.04362i
\(605\) −4.53465e6 + 2.18377e6i −0.503681 + 0.242560i
\(606\) 3.58937e6 + 1.72855e6i 0.397042 + 0.191205i
\(607\) 2.69371e6 + 1.18019e7i 0.296742 + 1.30011i 0.874946 + 0.484220i \(0.160897\pi\)
−0.578204 + 0.815892i \(0.696246\pi\)
\(608\) −8.07231e6 −0.885602
\(609\) 4.30088e6 + 1.44976e7i 0.469909 + 1.58400i
\(610\) 9.22258e6 1.00352
\(611\) 2.88279e6 + 1.26303e7i 0.312399 + 1.36871i
\(612\) 1.68873e7 + 8.13248e6i 1.82256 + 0.877696i
\(613\) −2.75530e6 + 1.32688e6i −0.296155 + 0.142621i −0.576061 0.817407i \(-0.695411\pi\)
0.279906 + 0.960027i \(0.409697\pi\)
\(614\) −1.37400e6 6.01988e6i −0.147084 0.644417i
\(615\) 482555. 2.11421e6i 0.0514469 0.225403i
\(616\) 5.38848e6 + 2.59495e6i 0.572156 + 0.275536i
\(617\) 5.03572e6 + 6.31459e6i 0.532535 + 0.667778i 0.973218 0.229885i \(-0.0738350\pi\)
−0.440683 + 0.897663i \(0.645264\pi\)
\(618\) 5.16477e6 + 6.47641e6i 0.543976 + 0.682124i
\(619\) −206028. + 99217.9i −0.0216122 + 0.0104079i −0.444659 0.895700i \(-0.646675\pi\)
0.423046 + 0.906108i \(0.360961\pi\)
\(620\) 333591. 418310.i 0.0348526 0.0437038i
\(621\) −1.63718e6 −0.170360
\(622\) 3.94831e6 4.95103e6i 0.409200 0.513121i
\(623\) 1.89447e6 8.30022e6i 0.195554 0.856780i
\(624\) 2.76666e6 1.21215e7i 0.284442 1.24622i
\(625\) −3.85515e6 + 4.83420e6i −0.394767 + 0.495022i
\(626\) −7.73194e6 −0.788593
\(627\) 6.96082e6 8.72859e6i 0.707117 0.886697i
\(628\) −1.05350e7 + 5.07340e6i −1.06595 + 0.513334i
\(629\) 2.73604e6 + 3.43088e6i 0.275737 + 0.345763i
\(630\) −5.99020e6 7.51148e6i −0.601299 0.754005i
\(631\) 1.04018e7 + 5.00924e6i 1.04000 + 0.500839i 0.874325 0.485340i \(-0.161304\pi\)
0.165678 + 0.986180i \(0.447019\pi\)
\(632\) 1.69035e6 7.40590e6i 0.168339 0.737539i
\(633\) 2.66866e6 + 1.16922e7i 0.264719 + 1.15981i
\(634\) −5.06919e6 + 2.44119e6i −0.500859 + 0.241201i
\(635\) −9.26511e6 4.46184e6i −0.911835 0.439117i
\(636\) 1.54973e6 + 6.78979e6i 0.151919 + 0.665600i
\(637\) −1.80731e6 −0.176475
\(638\) −2.27859e6 2.50961e6i −0.221623 0.244092i
\(639\) −9.29477e6 −0.900506
\(640\) 3.54472e6 + 1.55304e7i 0.342084 + 1.49877i
\(641\) 1.58823e7 + 7.64850e6i 1.52675 + 0.735244i 0.993829 0.110922i \(-0.0353803\pi\)
0.532920 + 0.846166i \(0.321095\pi\)
\(642\) −4.96548e6 + 2.39125e6i −0.475471 + 0.228975i
\(643\) 3.49082e6 + 1.52943e7i 0.332966 + 1.45882i 0.813357 + 0.581765i \(0.197638\pi\)
−0.480391 + 0.877054i \(0.659505\pi\)
\(644\) 485326. 2.12635e6i 0.0461126 0.202032i
\(645\) −2.24485e7 1.08106e7i −2.12465 1.02318i
\(646\) −4.19837e6 5.26459e6i −0.395822 0.496345i
\(647\) −1.31829e7 1.65308e7i −1.23808 1.55250i −0.712280 0.701895i \(-0.752337\pi\)
−0.525800 0.850608i \(-0.676234\pi\)
\(648\) 2.43689e6 1.17355e6i 0.227981 0.109790i
\(649\) 6.84744e6 8.58641e6i 0.638140 0.800203i
\(650\) 9.15263e6 0.849694
\(651\) −497736. + 624141.i −0.0460306 + 0.0577205i
\(652\) −1.59414e6 + 6.98436e6i −0.146861 + 0.643440i
\(653\) 723856. 3.17142e6i 0.0664308 0.291052i −0.930790 0.365554i \(-0.880880\pi\)
0.997221 + 0.0745019i \(0.0237367\pi\)
\(654\) 4.13520e6 5.18538e6i 0.378053 0.474063i
\(655\) 4.69409e6 0.427512
\(656\) 343470. 430698.i 0.0311623 0.0390763i
\(657\) 1.44991e6 698238.i 0.131047 0.0631088i
\(658\) 2.67350e6 + 3.35246e6i 0.240722 + 0.301856i
\(659\) 6.56179e6 + 8.22823e6i 0.588585 + 0.738062i 0.983550 0.180634i \(-0.0578150\pi\)
−0.394966 + 0.918696i \(0.629244\pi\)
\(660\) −1.56966e7 7.55908e6i −1.40264 0.675475i
\(661\) −4.20564e6 + 1.84261e7i −0.374394 + 1.64033i 0.339887 + 0.940466i \(0.389611\pi\)
−0.714281 + 0.699859i \(0.753246\pi\)
\(662\) −890151. 3.90001e6i −0.0789440 0.345876i
\(663\) 4.26778e7 2.05526e7i 3.77067 1.81586i
\(664\) 3.13161e6 + 1.50810e6i 0.275643 + 0.132743i
\(665\) −3.68487e6 1.61445e7i −0.323123 1.41570i
\(666\) −1.82677e6 −0.159587
\(667\) −1.56212e6 + 2.23883e6i −0.135956 + 0.194852i
\(668\) 6.62909e6 0.574794
\(669\) 4.79963e6 + 2.10286e7i 0.414613 + 1.81654i
\(670\) −2.53856e6 1.22251e6i −0.218475 0.105212i
\(671\) −1.33331e7 + 6.42090e6i −1.14321 + 0.550541i
\(672\) −4.18233e6 1.83240e7i −0.357269 1.56530i
\(673\) −2.22938e6 + 9.76755e6i −0.189734 + 0.831281i 0.787021 + 0.616926i \(0.211622\pi\)
−0.976756 + 0.214355i \(0.931235\pi\)
\(674\) 5.88853e6 + 2.83576e6i 0.499295 + 0.240448i
\(675\) 6.80228e6 + 8.52979e6i 0.574639 + 0.720575i
\(676\) −9.40031e6 1.17876e7i −0.791180 0.992108i
\(677\) −1.59281e7 + 7.67058e6i −1.33565 + 0.643215i −0.959070 0.283169i \(-0.908614\pi\)
−0.376580 + 0.926384i \(0.622900\pi\)
\(678\) −2.37850e6 + 2.98254e6i −0.198714 + 0.249180i
\(679\) 1.31827e7 1.09731
\(680\) −1.44687e7 + 1.81432e7i −1.19993 + 1.50467i
\(681\) 1.68627e6 7.38801e6i 0.139334 0.610464i
\(682\) 39818.9 174458.i 0.00327815 0.0143625i
\(683\) 1.26333e7 1.58417e7i 1.03625 1.29942i 0.0832255 0.996531i \(-0.473478\pi\)
0.953026 0.302888i \(-0.0979508\pi\)
\(684\) −1.34487e7 −1.09911
\(685\) −6.93022e6 + 8.69022e6i −0.564314 + 0.707627i
\(686\) 4.32202e6 2.08137e6i 0.350652 0.168865i
\(687\) 4.68540e6 + 5.87530e6i 0.378752 + 0.474940i
\(688\) −3.94630e6 4.94851e6i −0.317848 0.398569i
\(689\) 9.40457e6 + 4.52900e6i 0.754729 + 0.363458i
\(690\) 650759. 2.85116e6i 0.0520352 0.227981i
\(691\) −3.00199e6 1.31526e7i −0.239174 1.04789i −0.941759 0.336290i \(-0.890828\pi\)
0.702584 0.711600i \(-0.252029\pi\)
\(692\) 1.04836e6 504864.i 0.0832235 0.0400783i
\(693\) 1.38897e7 + 6.68892e6i 1.09865 + 0.529082i
\(694\) 660033. + 2.89179e6i 0.0520196 + 0.227913i
\(695\) 3.71859e7 2.92022
\(696\) −2.42861e6 + 1.50100e7i −0.190035 + 1.17451i
\(697\) 2.09878e6 0.163638
\(698\) −1.44960e6 6.35109e6i −0.112618 0.493412i
\(699\) −1.61622e7 7.78328e6i −1.25114 0.602518i
\(700\) −1.30949e7 + 6.30616e6i −1.01008 + 0.486429i
\(701\) 1.87537e6 + 8.21652e6i 0.144142 + 0.631528i 0.994447 + 0.105238i \(0.0335604\pi\)
−0.850305 + 0.526290i \(0.823582\pi\)
\(702\) −1.37711e6 + 6.03353e6i −0.105470 + 0.462092i
\(703\) −2.83683e6 1.36615e6i −0.216494 0.104258i
\(704\) −707711. 887441.i −0.0538176 0.0674851i
\(705\) −1.71990e7 2.15669e7i −1.30326 1.63424i
\(706\) −3.57300e6 + 1.72067e6i −0.269787 + 0.129923i
\(707\) −5.91192e6 + 7.41331e6i −0.444816 + 0.557781i
\(708\) −2.23072e7 −1.67249
\(709\) 2.00686e6 2.51652e6i 0.149934 0.188012i −0.701192 0.712972i \(-0.747349\pi\)
0.851126 + 0.524961i \(0.175920\pi\)
\(710\) 1.15952e6 5.08017e6i 0.0863239 0.378210i
\(711\) 4.35715e6 1.90899e7i 0.323243 1.41622i
\(712\) 5.33736e6 6.69283e6i 0.394572 0.494778i
\(713\) −144115. −0.0106166
\(714\) 9.77531e6 1.22579e7i 0.717604 0.899848i
\(715\) −2.35261e7 + 1.13296e7i −1.72102 + 0.828799i
\(716\) −8.73323e6 1.09511e7i −0.636637 0.798318i
\(717\) −8.63430e6 1.08271e7i −0.627233 0.786526i
\(718\) −6.12560e6 2.94993e6i −0.443443 0.213551i
\(719\) −3.22682e6 + 1.41376e7i −0.232783 + 1.01989i 0.714536 + 0.699599i \(0.246638\pi\)
−0.947319 + 0.320291i \(0.896219\pi\)
\(720\) 3.49374e6 + 1.53071e7i 0.251165 + 1.10043i
\(721\) −1.77633e7 + 8.55433e6i −1.27258 + 0.612841i
\(722\) −888072. 427673.i −0.0634023 0.0305329i
\(723\) −3.06152e6 1.34134e7i −0.217817 0.954318i
\(724\) 1.60215e7 1.13594
\(725\) 1.81548e7 1.16333e6i 1.28276 0.0821971i
\(726\) 3.41912e6 0.240754
\(727\) −3.39167e6 1.48599e7i −0.238000 1.04275i −0.942805 0.333346i \(-0.891822\pi\)
0.704804 0.709402i \(-0.251035\pi\)
\(728\) −1.64043e7 7.89991e6i −1.14718 0.552451i
\(729\) 2.08125e7 1.00228e7i 1.45046 0.698504i
\(730\) 200756. + 879569.i 0.0139432 + 0.0610889i
\(731\) 5.36586e6 2.35094e7i 0.371404 1.62723i
\(732\) 2.70819e7 + 1.30420e7i 1.86811 + 0.899634i
\(733\) −1.03703e7 1.30039e7i −0.712902 0.893951i 0.285011 0.958524i \(-0.408003\pi\)
−0.997913 + 0.0645736i \(0.979431\pi\)
\(734\) −463866. 581670.i −0.0317799 0.0398507i
\(735\) 3.46716e6 1.66970e6i 0.236731 0.114004i
\(736\) 2.11551e6 2.65277e6i 0.143953 0.180512i
\(737\) 4.52115e6 0.306605
\(738\) −544739. + 683081.i −0.0368169 + 0.0461669i
\(739\) −4.01721e6 + 1.76005e7i −0.270591 + 1.18554i 0.638727 + 0.769433i \(0.279461\pi\)
−0.909318 + 0.416102i \(0.863396\pi\)
\(740\) −1.09335e6 + 4.79028e6i −0.0733973 + 0.321574i
\(741\) −2.11911e7 + 2.65727e7i −1.41777 + 1.77783i
\(742\) 3.45492e6 0.230371
\(743\) −8.71226e6 + 1.09248e7i −0.578974 + 0.726010i −0.981937 0.189206i \(-0.939409\pi\)
0.402964 + 0.915216i \(0.367980\pi\)
\(744\) −723202. + 348276.i −0.0478991 + 0.0230670i
\(745\) 1.08699e6 + 1.36304e6i 0.0717521 + 0.0899742i
\(746\) −6.30296e6 7.90366e6i −0.414665 0.519974i
\(747\) 8.07224e6 + 3.88738e6i 0.529288 + 0.254892i
\(748\) 3.75196e6 1.64384e7i 0.245191 1.07425i
\(749\) −2.91886e6 1.27884e7i −0.190112 0.832934i
\(750\) −3.89848e6 + 1.87741e6i −0.253071 + 0.121873i
\(751\) 1.40296e6 + 675628.i 0.0907704 + 0.0437127i 0.478718 0.877969i \(-0.341102\pi\)
−0.387948 + 0.921681i \(0.626816\pi\)
\(752\) −1.55930e6 6.83173e6i −0.100551 0.440541i
\(753\) −2.01807e7 −1.29702
\(754\) 6.93680e6 + 7.64008e6i 0.444356 + 0.489406i
\(755\) 3.06295e7 1.95557
\(756\) −2.18683e6 9.58114e6i −0.139159 0.609695i
\(757\) 9.18871e6 + 4.42505e6i 0.582794 + 0.280659i 0.701961 0.712215i \(-0.252308\pi\)
−0.119167 + 0.992874i \(0.538022\pi\)
\(758\) −1.34799e6 + 649159.i −0.0852147 + 0.0410372i
\(759\) 1.04422e6 + 4.57501e6i 0.0657940 + 0.288262i
\(760\) 3.70512e6 1.62332e7i 0.232685 1.01946i
\(761\) −2.15581e7 1.03818e7i −1.34942 0.649848i −0.387171 0.922008i \(-0.626548\pi\)
−0.962252 + 0.272160i \(0.912262\pi\)
\(762\) 4.35563e6 + 5.46179e6i 0.271746 + 0.340759i
\(763\) 9.84210e6 + 1.23416e7i 0.612035 + 0.767468i
\(764\) 1.37329e7 6.61342e6i 0.851195 0.409914i
\(765\) −3.72955e7 + 4.67671e7i −2.30411 + 2.88926i
\(766\) −4.72542e6 −0.290984
\(767\) −2.08459e7 + 2.61399e7i −1.27948 + 1.60441i
\(768\) 1.78807e6 7.83405e6i 0.109391 0.479273i
\(769\)