Properties

Label 36.6.h.a.11.19
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.19
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.19

$q$-expansion

\(f(q)\) \(=\) \(q+(2.66122 + 4.99179i) q^{2} +(-5.80725 + 14.4664i) q^{3} +(-17.8359 + 26.5684i) q^{4} +(3.68052 - 2.12495i) q^{5} +(-87.6674 + 9.50956i) q^{6} +(13.9322 + 8.04377i) q^{7} +(-180.089 - 18.3284i) q^{8} +(-175.552 - 168.020i) q^{9} +O(q^{10})\) \(q+(2.66122 + 4.99179i) q^{2} +(-5.80725 + 14.4664i) q^{3} +(-17.8359 + 26.5684i) q^{4} +(3.68052 - 2.12495i) q^{5} +(-87.6674 + 9.50956i) q^{6} +(13.9322 + 8.04377i) q^{7} +(-180.089 - 18.3284i) q^{8} +(-175.552 - 168.020i) q^{9} +(20.4019 + 12.7174i) q^{10} +(-43.3121 + 75.0187i) q^{11} +(-280.772 - 412.310i) q^{12} +(162.502 + 281.462i) q^{13} +(-3.07614 + 90.9529i) q^{14} +(9.36658 + 65.5839i) q^{15} +(-387.764 - 947.742i) q^{16} +1863.80i q^{17} +(371.538 - 1323.45i) q^{18} -416.071i q^{19} +(-9.18864 + 135.686i) q^{20} +(-197.272 + 154.836i) q^{21} +(-489.740 - 16.5636i) q^{22} +(1293.41 + 2240.24i) q^{23} +(1310.97 - 2498.80i) q^{24} +(-1553.47 + 2690.69i) q^{25} +(-972.544 + 1560.21i) q^{26} +(3450.11 - 1563.86i) q^{27} +(-462.204 + 226.690i) q^{28} +(4342.80 + 2507.32i) q^{29} +(-302.454 + 221.289i) q^{30} +(6396.76 - 3693.17i) q^{31} +(3699.00 - 4457.78i) q^{32} +(-833.724 - 1062.22i) q^{33} +(-9303.69 + 4959.98i) q^{34} +68.3704 q^{35} +(7595.14 - 1667.36i) q^{36} -10519.2 q^{37} +(2076.94 - 1107.25i) q^{38} +(-5015.42 + 716.294i) q^{39} +(-701.768 + 315.222i) q^{40} +(13207.4 - 7625.29i) q^{41} +(-1297.89 - 572.687i) q^{42} +(-6794.45 - 3922.78i) q^{43} +(-1220.62 - 2488.76i) q^{44} +(-1003.15 - 245.362i) q^{45} +(-7740.79 + 12418.2i) q^{46} +(-14244.6 + 24672.4i) q^{47} +(15962.2 - 105.764i) q^{48} +(-8274.10 - 14331.2i) q^{49} +(-17565.5 - 594.085i) q^{50} +(-26962.4 - 10823.6i) q^{51} +(-10376.4 - 702.686i) q^{52} -5483.31i q^{53} +(16987.9 + 13060.4i) q^{54} +368.144i q^{55} +(-2361.61 - 1703.95i) q^{56} +(6019.04 + 2416.23i) q^{57} +(-958.860 + 28350.9i) q^{58} +(1901.12 + 3292.83i) q^{59} +(-1909.52 - 920.889i) q^{60} +(16590.1 - 28734.9i) q^{61} +(35458.7 + 22102.9i) q^{62} +(-1094.31 - 3752.98i) q^{63} +(32096.1 + 6601.49i) q^{64} +(1196.18 + 690.617i) q^{65} +(3083.66 - 6988.57i) q^{66} +(57592.1 - 33250.8i) q^{67} +(-49518.3 - 33242.5i) q^{68} +(-39919.3 + 5701.21i) q^{69} +(181.948 + 341.290i) q^{70} +43573.3 q^{71} +(28535.4 + 33476.1i) q^{72} +22901.9 q^{73} +(-27993.8 - 52509.6i) q^{74} +(-29903.1 - 38098.6i) q^{75} +(11054.4 + 7420.98i) q^{76} +(-1206.87 + 696.785i) q^{77} +(-16922.7 - 23129.7i) q^{78} +(31941.7 + 18441.5i) q^{79} +(-3441.08 - 2664.20i) q^{80} +(2587.73 + 58992.3i) q^{81} +(73211.6 + 45635.9i) q^{82} +(-27504.3 + 47638.8i) q^{83} +(-595.245 - 8002.85i) q^{84} +(3960.48 + 6859.75i) q^{85} +(1500.17 - 44355.8i) q^{86} +(-61491.5 + 48263.9i) q^{87} +(9175.01 - 12716.2i) q^{88} +40969.8i q^{89} +(-1444.82 - 5660.49i) q^{90} +5228.51i q^{91} +(-82588.8 - 5592.90i) q^{92} +(16279.2 + 113985. i) q^{93} +(-161068. - 5447.50i) q^{94} +(-884.130 - 1531.36i) q^{95} +(43006.9 + 79398.6i) q^{96} +(23339.8 - 40425.7i) q^{97} +(49518.9 - 79440.8i) q^{98} +(20208.1 - 5892.37i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.66122 + 4.99179i 0.470441 + 0.882431i
\(3\) −5.80725 + 14.4664i −0.372535 + 0.928018i
\(4\) −17.8359 + 26.5684i −0.557371 + 0.830264i
\(5\) 3.68052 2.12495i 0.0658391 0.0380122i −0.466719 0.884406i \(-0.654564\pi\)
0.532558 + 0.846393i \(0.321231\pi\)
\(6\) −87.6674 + 9.50956i −0.994168 + 0.107841i
\(7\) 13.9322 + 8.04377i 0.107467 + 0.0620461i 0.552770 0.833334i \(-0.313571\pi\)
−0.445303 + 0.895380i \(0.646904\pi\)
\(8\) −180.089 18.3284i −0.994861 0.101251i
\(9\) −175.552 168.020i −0.722435 0.691439i
\(10\) 20.4019 + 12.7174i 0.0645166 + 0.0402160i
\(11\) −43.3121 + 75.0187i −0.107926 + 0.186934i −0.914930 0.403613i \(-0.867754\pi\)
0.807004 + 0.590546i \(0.201088\pi\)
\(12\) −280.772 412.310i −0.562859 0.826553i
\(13\) 162.502 + 281.462i 0.266686 + 0.461914i 0.968004 0.250935i \(-0.0807380\pi\)
−0.701318 + 0.712849i \(0.747405\pi\)
\(14\) −3.07614 + 90.9529i −0.00419455 + 0.124021i
\(15\) 9.36658 + 65.5839i 0.0107486 + 0.0752608i
\(16\) −387.764 947.742i −0.378676 0.925529i
\(17\) 1863.80i 1.56415i 0.623187 + 0.782073i \(0.285837\pi\)
−0.623187 + 0.782073i \(0.714163\pi\)
\(18\) 371.538 1323.45i 0.270285 0.962780i
\(19\) 416.071i 0.264413i −0.991222 0.132207i \(-0.957794\pi\)
0.991222 0.132207i \(-0.0422063\pi\)
\(20\) −9.18864 + 135.686i −0.00513660 + 0.0758508i
\(21\) −197.272 + 154.836i −0.0976152 + 0.0766169i
\(22\) −489.740 16.5636i −0.215729 0.00729623i
\(23\) 1293.41 + 2240.24i 0.509818 + 0.883030i 0.999935 + 0.0113741i \(0.00362056\pi\)
−0.490117 + 0.871656i \(0.663046\pi\)
\(24\) 1310.97 2498.80i 0.464584 0.885529i
\(25\) −1553.47 + 2690.69i −0.497110 + 0.861020i
\(26\) −972.544 + 1560.21i −0.282147 + 0.452635i
\(27\) 3450.11 1563.86i 0.910801 0.412847i
\(28\) −462.204 + 226.690i −0.111414 + 0.0546433i
\(29\) 4342.80 + 2507.32i 0.958904 + 0.553623i 0.895835 0.444386i \(-0.146578\pi\)
0.0630683 + 0.998009i \(0.479911\pi\)
\(30\) −302.454 + 221.289i −0.0613559 + 0.0448907i
\(31\) 6396.76 3693.17i 1.19552 0.690232i 0.235964 0.971762i \(-0.424175\pi\)
0.959553 + 0.281530i \(0.0908418\pi\)
\(32\) 3699.00 4457.78i 0.638571 0.769563i
\(33\) −833.724 1062.22i −0.133272 0.169797i
\(34\) −9303.69 + 4959.98i −1.38025 + 0.735838i
\(35\) 68.3704 0.00943405
\(36\) 7595.14 1667.36i 0.976741 0.214423i
\(37\) −10519.2 −1.26322 −0.631609 0.775287i \(-0.717605\pi\)
−0.631609 + 0.775287i \(0.717605\pi\)
\(38\) 2076.94 1107.25i 0.233327 0.124391i
\(39\) −5015.42 + 716.294i −0.528014 + 0.0754101i
\(40\) −701.768 + 315.222i −0.0693496 + 0.0311506i
\(41\) 13207.4 7625.29i 1.22704 0.708430i 0.260628 0.965439i \(-0.416070\pi\)
0.966409 + 0.257009i \(0.0827371\pi\)
\(42\) −1297.89 572.687i −0.113531 0.0500950i
\(43\) −6794.45 3922.78i −0.560381 0.323536i 0.192917 0.981215i \(-0.438205\pi\)
−0.753298 + 0.657679i \(0.771538\pi\)
\(44\) −1220.62 2488.76i −0.0950495 0.193799i
\(45\) −1003.15 245.362i −0.0738476 0.0180624i
\(46\) −7740.79 + 12418.2i −0.539375 + 0.865293i
\(47\) −14244.6 + 24672.4i −0.940604 + 1.62917i −0.176280 + 0.984340i \(0.556406\pi\)
−0.764323 + 0.644833i \(0.776927\pi\)
\(48\) 15962.2 105.764i 0.999978 0.00662575i
\(49\) −8274.10 14331.2i −0.492301 0.852690i
\(50\) −17565.5 594.085i −0.993652 0.0336065i
\(51\) −26962.4 10823.6i −1.45155 0.582700i
\(52\) −10376.4 702.686i −0.532153 0.0360373i
\(53\) 5483.31i 0.268135i −0.990972 0.134067i \(-0.957196\pi\)
0.990972 0.134067i \(-0.0428038\pi\)
\(54\) 16987.9 + 13060.4i 0.792787 + 0.609499i
\(55\) 368.144i 0.0164101i
\(56\) −2361.61 1703.95i −0.100633 0.0726084i
\(57\) 6019.04 + 2416.23i 0.245380 + 0.0985034i
\(58\) −958.860 + 28350.9i −0.0374270 + 1.10661i
\(59\) 1901.12 + 3292.83i 0.0711015 + 0.123151i 0.899384 0.437159i \(-0.144015\pi\)
−0.828283 + 0.560310i \(0.810682\pi\)
\(60\) −1909.52 920.889i −0.0684773 0.0330240i
\(61\) 16590.1 28734.9i 0.570853 0.988747i −0.425625 0.904900i \(-0.639946\pi\)
0.996479 0.0838475i \(-0.0267209\pi\)
\(62\) 35458.7 + 22102.9i 1.17150 + 0.730248i
\(63\) −1094.31 3752.98i −0.0347368 0.119131i
\(64\) 32096.1 + 6601.49i 0.979496 + 0.201462i
\(65\) 1196.18 + 690.617i 0.0351168 + 0.0202747i
\(66\) 3083.66 6988.57i 0.0871379 0.197483i
\(67\) 57592.1 33250.8i 1.56738 0.904930i 0.570912 0.821011i \(-0.306590\pi\)
0.996473 0.0839192i \(-0.0267438\pi\)
\(68\) −49518.3 33242.5i −1.29865 0.871809i
\(69\) −39919.3 + 5701.21i −1.00939 + 0.144160i
\(70\) 181.948 + 341.290i 0.00443816 + 0.00832490i
\(71\) 43573.3 1.02583 0.512914 0.858440i \(-0.328566\pi\)
0.512914 + 0.858440i \(0.328566\pi\)
\(72\) 28535.4 + 33476.1i 0.648713 + 0.761033i
\(73\) 22901.9 0.502996 0.251498 0.967858i \(-0.419077\pi\)
0.251498 + 0.967858i \(0.419077\pi\)
\(74\) −27993.8 52509.6i −0.594269 1.11470i
\(75\) −29903.1 38098.6i −0.613851 0.782088i
\(76\) 11054.4 + 7420.98i 0.219533 + 0.147376i
\(77\) −1206.87 + 696.785i −0.0231970 + 0.0133928i
\(78\) −16922.7 23129.7i −0.314944 0.430460i
\(79\) 31941.7 + 18441.5i 0.575824 + 0.332452i 0.759472 0.650540i \(-0.225457\pi\)
−0.183648 + 0.982992i \(0.558791\pi\)
\(80\) −3441.08 2664.20i −0.0601132 0.0465417i
\(81\) 2587.73 + 58992.3i 0.0438235 + 0.999039i
\(82\) 73211.6 + 45635.9i 1.20239 + 0.749501i
\(83\) −27504.3 + 47638.8i −0.438233 + 0.759041i −0.997553 0.0699102i \(-0.977729\pi\)
0.559321 + 0.828951i \(0.311062\pi\)
\(84\) −595.245 8002.85i −0.00920445 0.123750i
\(85\) 3960.48 + 6859.75i 0.0594567 + 0.102982i
\(86\) 1500.17 44355.8i 0.0218723 0.646702i
\(87\) −61491.5 + 48263.9i −0.870998 + 0.683636i
\(88\) 9175.01 12716.2i 0.126299 0.175046i
\(89\) 40969.8i 0.548263i 0.961692 + 0.274132i \(0.0883904\pi\)
−0.961692 + 0.274132i \(0.911610\pi\)
\(90\) −1444.82 5660.49i −0.0188021 0.0736628i
\(91\) 5228.51i 0.0661873i
\(92\) −82588.8 5592.90i −1.01731 0.0688918i
\(93\) 16279.2 + 113985.i 0.195175 + 1.36660i
\(94\) −161068. 5447.50i −1.88013 0.0635883i
\(95\) −884.130 1531.36i −0.0100509 0.0174087i
\(96\) 43006.9 + 79398.6i 0.476277 + 0.879295i
\(97\) 23339.8 40425.7i 0.251865 0.436243i −0.712174 0.702003i \(-0.752289\pi\)
0.964039 + 0.265760i \(0.0856227\pi\)
\(98\) 49518.9 79440.8i 0.520842 0.835562i
\(99\) 20208.1 5892.37i 0.207223 0.0604230i
\(100\) −43779.9 89264.0i −0.437799 0.892640i
\(101\) −65827.1 38005.3i −0.642098 0.370716i 0.143324 0.989676i \(-0.454221\pi\)
−0.785422 + 0.618960i \(0.787554\pi\)
\(102\) −17723.9 163394.i −0.168678 1.55502i
\(103\) −3270.29 + 1888.10i −0.0303734 + 0.0175361i −0.515110 0.857124i \(-0.672249\pi\)
0.484736 + 0.874660i \(0.338916\pi\)
\(104\) −24106.1 53666.6i −0.218546 0.486542i
\(105\) −397.044 + 989.072i −0.00351452 + 0.00875497i
\(106\) 27371.5 14592.3i 0.236610 0.126142i
\(107\) 57656.6 0.486844 0.243422 0.969920i \(-0.421730\pi\)
0.243422 + 0.969920i \(0.421730\pi\)
\(108\) −19986.3 + 119557.i −0.164882 + 0.986313i
\(109\) −176304. −1.42133 −0.710667 0.703529i \(-0.751607\pi\)
−0.710667 + 0.703529i \(0.751607\pi\)
\(110\) −1837.70 + 979.710i −0.0144808 + 0.00771998i
\(111\) 61087.6 152175.i 0.470593 1.17229i
\(112\) 2221.00 16323.2i 0.0167303 0.122959i
\(113\) 111854. 64579.2i 0.824057 0.475769i −0.0277568 0.999615i \(-0.508836\pi\)
0.851813 + 0.523845i \(0.175503\pi\)
\(114\) 3956.65 + 36475.9i 0.0285145 + 0.262871i
\(115\) 9520.81 + 5496.84i 0.0671319 + 0.0387586i
\(116\) −144073. + 70661.3i −0.994118 + 0.487570i
\(117\) 18763.6 76714.6i 0.126722 0.518100i
\(118\) −11377.8 + 18252.9i −0.0752236 + 0.120678i
\(119\) −14992.0 + 25966.9i −0.0970491 + 0.168094i
\(120\) −484.771 11982.6i −0.00307315 0.0759623i
\(121\) 76773.6 + 132976.i 0.476704 + 0.825675i
\(122\) 187588. + 6344.46i 1.14105 + 0.0385918i
\(123\) 33611.6 + 235345.i 0.200321 + 1.40263i
\(124\) −15969.9 + 235823.i −0.0932712 + 1.37731i
\(125\) 26485.1i 0.151610i
\(126\) 15821.9 15450.1i 0.0887835 0.0866970i
\(127\) 43254.5i 0.237970i −0.992896 0.118985i \(-0.962036\pi\)
0.992896 0.118985i \(-0.0379640\pi\)
\(128\) 52461.5 + 177785.i 0.283019 + 0.959114i
\(129\) 96205.5 75510.5i 0.509009 0.399515i
\(130\) −264.109 + 7808.97i −0.00137064 + 0.0405262i
\(131\) −104818. 181550.i −0.533650 0.924309i −0.999227 0.0393020i \(-0.987487\pi\)
0.465577 0.885007i \(1.65415\pi\)
\(132\) 43091.8 3205.13i 0.215258 0.0160107i
\(133\) 3346.78 5796.79i 0.0164058 0.0284157i
\(134\) 319246. + 199000.i 1.53590 + 0.957394i
\(135\) 9375.07 13087.1i 0.0442731 0.0618030i
\(136\) 34160.5 335650.i 0.158372 1.55611i
\(137\) 99563.4 + 57483.0i 0.453209 + 0.261660i 0.709184 0.705023i \(-0.249063\pi\)
−0.255976 + 0.966683i \(0.582397\pi\)
\(138\) −134693. 184097.i −0.602071 0.822902i
\(139\) −186853. + 107880.i −0.820281 + 0.473590i −0.850514 0.525953i \(-0.823709\pi\)
0.0302321 + 0.999543i \(0.490375\pi\)
\(140\) −1219.44 + 1816.50i −0.00525826 + 0.00783275i
\(141\) −274198. 349347.i −1.16149 1.47982i
\(142\) 115958. + 217509.i 0.482592 + 0.905223i
\(143\) −28153.2 −0.115130
\(144\) −91166.7 + 231530.i −0.366379 + 0.930466i
\(145\) 21311.7 0.0841779
\(146\) 60946.9 + 114321.i 0.236630 + 0.443860i
\(147\) 255370. 36471.5i 0.974711 0.139207i
\(148\) 187619. 279479.i 0.704080 1.04880i
\(149\) −192038. + 110873.i −0.708633 + 0.409129i −0.810555 0.585663i \(-0.800834\pi\)
0.101922 + 0.994792i \(0.467501\pi\)
\(150\) 110601. 250658.i 0.401358 0.909607i
\(151\) −364405. 210389.i −1.30059 0.750898i −0.320088 0.947388i \(-0.603712\pi\)
−0.980506 + 0.196490i \(0.937046\pi\)
\(152\) −7625.92 + 74929.8i −0.0267722 + 0.263055i
\(153\) 313155. 327193.i 1.08151 1.12999i
\(154\) −6689.94 4170.13i −0.0227311 0.0141693i
\(155\) 15695.6 27185.6i 0.0524745 0.0908886i
\(156\) 70423.5 146028.i 0.231689 0.480423i
\(157\) 110672. + 191690.i 0.358335 + 0.620654i 0.987683 0.156470i \(-0.0500113\pi\)
−0.629348 + 0.777124i \(0.716678\pi\)
\(158\) −7052.50 + 208523.i −0.0224750 + 0.664525i
\(159\) 79323.6 + 31843.0i 0.248834 + 0.0998897i
\(160\) 4141.68 24267.1i 0.0127902 0.0749409i
\(161\) 41615.4i 0.126529i
\(162\) −287590. + 169909.i −0.860967 + 0.508660i
\(163\) 324082.i 0.955402i 0.878522 + 0.477701i \(0.158530\pi\)
−0.878522 + 0.477701i \(0.841470\pi\)
\(164\) −32973.1 + 486904.i −0.0957303 + 1.41362i
\(165\) −5325.71 2137.91i −0.0152289 0.00611334i
\(166\) −310997. 10518.3i −0.875964 0.0296262i
\(167\) −125104. 216686.i −0.347120 0.601229i 0.638617 0.769525i \(-0.279507\pi\)
−0.985737 + 0.168296i \(0.946174\pi\)
\(168\) 38364.5 24268.7i 0.104871 0.0663396i
\(169\) 132833. 230073.i 0.357757 0.619654i
\(170\) −23702.7 + 38025.2i −0.0629037 + 0.100913i
\(171\) −69908.1 + 73041.9i −0.182826 + 0.191021i
\(172\) 225407. 110552.i 0.580960 0.284935i
\(173\) −267332. 154344.i −0.679102 0.392080i 0.120414 0.992724i \(-0.461578\pi\)
−0.799517 + 0.600644i \(0.794911\pi\)
\(174\) −404566. 178512.i −1.01301 0.446986i
\(175\) −43286.5 + 24991.5i −0.106846 + 0.0616875i
\(176\) 87893.3 + 11959.1i 0.213882 + 0.0291016i
\(177\) −58675.6 + 8379.95i −0.140775 + 0.0201052i
\(178\) −204513. + 109030.i −0.483805 + 0.257926i
\(179\) 7856.73 0.0183278 0.00916388 0.999958i \(-0.497083\pi\)
0.00916388 + 0.999958i \(0.497083\pi\)
\(180\) 24411.0 22276.0i 0.0561571 0.0512456i
\(181\) −449713. −1.02033 −0.510163 0.860078i \(-0.670415\pi\)
−0.510163 + 0.860078i \(0.670415\pi\)
\(182\) −26099.6 + 13914.2i −0.0584058 + 0.0311372i
\(183\) 319347. + 406869.i 0.704912 + 0.898106i
\(184\) −191868. 427149.i −0.417790 0.930112i
\(185\) −38716.1 + 22352.7i −0.0831691 + 0.0480177i
\(186\) −525667. + 384601.i −1.11411 + 0.815132i
\(187\) −139820. 80725.1i −0.292392 0.168812i
\(188\) −401443. 818512.i −0.828379 1.68900i
\(189\) 60647.0 + 5963.83i 0.123497 + 0.0121442i
\(190\) 5291.35 8488.66i 0.0106337 0.0170591i
\(191\) 255380. 442331.i 0.506527 0.877331i −0.493444 0.869777i \(-0.664262\pi\)
0.999971 0.00755354i \(-0.00240439\pi\)
\(192\) −281890. + 425978.i −0.551857 + 0.833939i
\(193\) 439991. + 762087.i 0.850257 + 1.47269i 0.880976 + 0.473161i \(0.156887\pi\)
−0.0307186 + 0.999528i \(0.509780\pi\)
\(194\) 263909. + 8925.72i 0.503442 + 0.0170270i
\(195\) −16937.3 + 13293.8i −0.0318975 + 0.0250359i
\(196\) 528332. + 35778.6i 0.982351 + 0.0665247i
\(197\) 162799.i 0.298873i −0.988771 0.149437i \(-0.952254\pi\)
0.988771 0.149437i \(-0.0477460\pi\)
\(198\) 83191.7 + 85193.8i 0.150805 + 0.154435i
\(199\) 786472.i 1.40783i 0.710283 + 0.703916i \(0.248567\pi\)
−0.710283 + 0.703916i \(0.751433\pi\)
\(200\) 329079. 456091.i 0.581735 0.806262i
\(201\) 146567. + 1.02624e6i 0.255885 + 1.79168i
\(202\) 14534.2 429735.i 0.0250618 0.741007i
\(203\) 40336.6 + 69865.0i 0.0687004 + 0.118993i
\(204\) 768463. 523302.i 1.29285 0.880394i
\(205\) 32406.7 56130.1i 0.0538580 0.0932848i
\(206\) −18128.0 11299.9i −0.0297633 0.0185527i
\(207\) 149346. 610596.i 0.242252 0.990440i
\(208\) 203741. 263151.i 0.326527 0.421741i
\(209\) 31213.1 + 18020.9i 0.0494278 + 0.0285372i
\(210\) −5993.85 + 650.173i −0.00937903 + 0.00101737i
\(211\) 879851. 507982.i 1.36051 0.785493i 0.370821 0.928704i \(-0.379076\pi\)
0.989692 + 0.143212i \(0.0457429\pi\)
\(212\) 145683. + 97799.5i 0.222623 + 0.149450i
\(213\) −253041. + 630347.i −0.382157 + 0.951987i
\(214\) 153437. + 287810.i 0.229031 + 0.429606i
\(215\) −33342.8 −0.0491933
\(216\) −649990. + 218399.i −0.947921 + 0.318505i
\(217\) 118828. 0.171305
\(218\) −469183. 880072.i −0.668654 1.25423i
\(219\) −132997. + 331307.i −0.187384 + 0.466789i
\(220\) −9781.01 6566.16i −0.0136247 0.00914650i
\(221\) −524588. + 302871.i −0.722500 + 0.417136i
\(222\) 922190. 100033.i 1.25585 0.136226i
\(223\) −201948. 116595.i −0.271942 0.157006i 0.357828 0.933788i \(-0.383518\pi\)
−0.629770 + 0.776782i \(0.716851\pi\)
\(224\) 87392.7 32352.9i 0.116374 0.0430817i
\(225\) 724803. 211341.i 0.954473 0.278309i
\(226\) 620034. + 386494.i 0.807504 + 0.503352i
\(227\) 439493. 761224.i 0.566092 0.980501i −0.430855 0.902421i \(-0.641788\pi\)
0.996947 0.0780796i \(-0.0248788\pi\)
\(228\) −171550. + 116821.i −0.218552 + 0.148828i
\(229\) −191288. 331320.i −0.241045 0.417503i 0.719967 0.694008i \(-0.244157\pi\)
−0.961012 + 0.276506i \(0.910824\pi\)
\(230\) −2102.13 + 62154.1i −0.00262023 + 0.0774730i
\(231\) −3071.37 21505.4i −0.00378705 0.0265166i
\(232\) −736136. 531137.i −0.897921 0.647868i
\(233\) 224357.i 0.270738i −0.990795 0.135369i \(-0.956778\pi\)
0.990795 0.135369i \(-0.0432220\pi\)
\(234\) 432877. 110490.i 0.516803 0.131912i
\(235\) 121076.i 0.143018i
\(236\) −121393. 8220.75i −0.141878 0.00960797i
\(237\) −452275. + 354985.i −0.523037 + 0.410525i
\(238\) −169518. 5733.30i −0.193987 0.00656089i
\(239\) 769108. + 1.33213e6i 0.870949 + 1.50853i 0.861017 + 0.508577i \(0.169828\pi\)
0.00993200 + 0.999951i \(0.496838\pi\)
\(240\) 58524.6 34308.2i 0.0655858 0.0384476i
\(241\) 692903. 1.20014e6i 0.768475 1.33104i −0.169914 0.985459i \(-0.554349\pi\)
0.938390 0.345579i \(-0.112318\pi\)
\(242\) −459476. + 737115.i −0.504341 + 0.809090i
\(243\) −868432. 305148.i −0.943452 0.331509i
\(244\) 467543. + 953285.i 0.502744 + 1.02506i
\(245\) −60905.9 35164.1i −0.0648253 0.0374269i
\(246\) −1.08534e6 + 794086.i −1.14348 + 0.836623i
\(247\) 117108. 67612.4i 0.122136 0.0705154i
\(248\) −1.21968e6 + 547857.i −1.25926 + 0.565637i
\(249\) −529436. 674537.i −0.541147 0.689458i
\(250\) −132208. + 70482.6i −0.133785 + 0.0713234i
\(251\) −1.31402e6 −1.31649 −0.658246 0.752803i \(-0.728701\pi\)
−0.658246 + 0.752803i \(0.728701\pi\)
\(252\) 119229. + 37863.6i 0.118272 + 0.0375595i
\(253\) −224080. −0.220091
\(254\) 215917. 115109.i 0.209992 0.111951i
\(255\) −122235. + 17457.4i −0.117719 + 0.0168124i
\(256\) −747854. + 735001.i −0.713209 + 0.700952i
\(257\) 542479. 313201.i 0.512331 0.295794i −0.221461 0.975169i \(-0.571082\pi\)
0.733791 + 0.679375i \(0.237749\pi\)
\(258\) 632956. + 279287.i 0.592003 + 0.261217i
\(259\) −146556. 84614.0i −0.135754 0.0783777i
\(260\) −39683.6 + 19463.0i −0.0364064 + 0.0178557i
\(261\) −341107. 1.16984e6i −0.309948 1.06298i
\(262\) 627315. 1.00637e6i 0.564589 0.905743i
\(263\) −750127. + 1.29926e6i −0.668722 + 1.15826i 0.309540 + 0.950887i \(0.399825\pi\)
−0.978262 + 0.207374i \(0.933508\pi\)
\(264\) 130676. + 206575.i 0.115395 + 0.182418i
\(265\) −11651.8 20181.4i −0.0101924 0.0176538i
\(266\) 37842.9 + 1279.89i 0.0327929 + 0.00110910i
\(267\) −592685. 237922.i −0.508798 0.204248i
\(268\) −143782. + 2.12319e6i −0.122283 + 1.80572i
\(269\) 264637.i 0.222982i −0.993765 0.111491i \(-0.964437\pi\)
0.993765 0.111491i \(-0.0355626\pi\)
\(270\) 90277.2 + 11970.7i 0.0753648 + 0.00999329i
\(271\) 650898.i 0.538381i −0.963087 0.269190i \(-0.913244\pi\)
0.963087 0.269190i \(-0.0867561\pi\)
\(272\) 1.76640e6 722715.i 1.44766 0.592305i
\(273\) −75637.6 30363.3i −0.0614230 0.0246571i
\(274\) −21982.9 + 649974.i −0.0176892 + 0.523022i
\(275\) −134568. 233079.i −0.107303 0.185853i
\(276\) 560523. 1.16228e6i 0.442915 0.918413i
\(277\) 237366. 411129.i 0.185874 0.321943i −0.757997 0.652258i \(-0.773822\pi\)
0.943871 + 0.330315i \(0.107155\pi\)
\(278\) −1.03577e6 645639.i −0.803804 0.501046i
\(279\) −1.74349e6 426440.i −1.34094 0.327980i
\(280\) −12312.8 1253.12i −0.00938557 0.000955208i
\(281\) 1.41561e6 + 817304.i 1.06949 + 0.617473i 0.928043 0.372472i \(-0.121490\pi\)
0.141451 + 0.989945i \(0.454823\pi\)
\(282\) 1.01417e6 2.29843e6i 0.759427 1.72111i
\(283\) 1.06078e6 612441.i 0.787333 0.454567i −0.0516895 0.998663i \(-0.516461\pi\)
0.839023 + 0.544096i \(0.183127\pi\)
\(284\) −777167. + 1.15767e6i −0.571766 + 0.851708i
\(285\) 27287.5 3897.16i 0.0199000 0.00284208i
\(286\) −74921.7 140535.i −0.0541618 0.101594i
\(287\) 245345. 0.175821
\(288\) −1.39836e6 + 161066.i −0.993432 + 0.114425i
\(289\) −2.05390e6 −1.44655
\(290\) 56715.0 + 106383.i 0.0396007 + 0.0742812i
\(291\) 449274. + 572405.i 0.311013 + 0.396251i
\(292\) −408475. + 608468.i −0.280355 + 0.417619i
\(293\) 963120. 556058.i 0.655407 0.378400i −0.135117 0.990830i \(-0.543141\pi\)
0.790525 + 0.612430i \(0.209808\pi\)
\(294\) 861651. + 1.17769e6i 0.581384 + 0.794627i
\(295\) 13994.2 + 8079.55i 0.00936253 + 0.00540546i
\(296\) 1.89439e6 + 192800.i 1.25673 + 0.127902i
\(297\) −32112.5 + 326557.i −0.0211243 + 0.214817i
\(298\) −1.06451e6 663555.i −0.694399 0.432849i
\(299\) −420362. + 728088.i −0.271923 + 0.470984i
\(300\) 1.54557e6 114958.i 0.991481 0.0737455i
\(301\) −63107.9 109306.i −0.0401483 0.0695389i
\(302\) 80458.0 2.37892e6i 0.0507635 1.50094i
\(303\) 932073. 731573.i 0.583235 0.457774i
\(304\) −394328. + 161338.i −0.244722 + 0.100127i
\(305\) 141013.i 0.0867977i
\(306\) 2.46665e6 + 692472.i 1.50593 + 0.422765i
\(307\) 1.54327e6i 0.934537i −0.884115 0.467269i \(-0.845238\pi\)
0.884115 0.467269i \(-0.154762\pi\)
\(308\) 3013.02 44492.3i 0.00180978 0.0267244i
\(309\) −8322.59 58273.9i −0.00495864 0.0347199i
\(310\) 177474. + 6002.38i 0.104889 + 0.00354748i
\(311\) 1.17389e6 + 2.03323e6i 0.688218 + 1.19203i 0.972414 + 0.233262i \(0.0749399\pi\)
−0.284196 + 0.958766i \(0.591727\pi\)
\(312\) 916350. 37072.0i 0.532936 0.0215606i
\(313\) −705005. + 1.22110e6i −0.406753 + 0.704517i −0.994524 0.104510i \(-0.966672\pi\)
0.587770 + 0.809028i \(0.300006\pi\)
\(314\) −662351. + 1.06258e6i −0.379109 + 0.608187i
\(315\) −12002.5 11487.6i −0.00681548 0.00652307i
\(316\) −1.05967e6 + 519720.i −0.596971 + 0.292787i
\(317\) 1.72360e6 + 995122.i 0.963360 + 0.556196i 0.897206 0.441613i \(-0.145594\pi\)
0.0661546 + 0.997809i \(0.478927\pi\)
\(318\) 52143.9 + 480707.i 0.0289158 + 0.266571i
\(319\) −376192. + 217194.i −0.206982 + 0.119501i
\(320\) 132158. 43905.7i 0.0721472 0.0239688i
\(321\) −334827. + 834082.i −0.181367 + 0.451800i
\(322\) −207735. + 110748.i −0.111653 + 0.0595244i
\(323\) 775473. 0.413581
\(324\) −1.61349e6 983426.i −0.853892 0.520450i
\(325\) −1.00977e6 −0.530289
\(326\) −1.61775e6 + 862453.i −0.843077 + 0.449460i
\(327\) 1.02384e6 2.55048e6i 0.529497 1.31902i
\(328\) −2.51827e6 + 1.13116e6i −1.29246 + 0.580550i
\(329\) −396919. + 229161.i −0.202168 + 0.116722i
\(330\) −3500.89 32274.2i −0.00176967 0.0163144i
\(331\) 2.45201e6 + 1.41567e6i 1.23013 + 0.710218i 0.967058 0.254557i \(-0.0819296\pi\)
0.263076 + 0.964775i \(0.415263\pi\)
\(332\) −775126. 1.58042e6i −0.385946 0.786916i
\(333\) 1.84666e6 + 1.76743e6i 0.912592 + 0.873438i
\(334\) 748723. 1.20114e6i 0.367244 0.589152i
\(335\) 141312. 244760.i 0.0687968 0.119160i
\(336\) 223240. + 126923.i 0.107876 + 0.0613327i
\(337\) −360837. 624988.i −0.173076 0.299776i 0.766418 0.642342i \(-0.222037\pi\)
−0.939494 + 0.342566i \(0.888704\pi\)
\(338\) 1.50197e6 + 50798.5i 0.715105 + 0.0241857i
\(339\) 284659. + 1.99315e6i 0.134532 + 0.941980i
\(340\) −252892. 17125.8i −0.118642 0.00803440i
\(341\) 639836.i 0.297977i
\(342\) −550650. 154586.i −0.254572 0.0714669i
\(343\) 536603.i 0.246274i
\(344\) 1.15171e6 + 830981.i 0.524743 + 0.378613i
\(345\) −134809. + 105810.i −0.0609777 + 0.0478607i
\(346\) 59024.9 1.74521e6i 0.0265061 0.783712i
\(347\) −751022. 1.30081e6i −0.334833 0.579948i 0.648619 0.761113i \(-0.275347\pi\)
−0.983453 + 0.181165i \(0.942013\pi\)
\(348\) −185543. 2.49456e6i −0.0821292 1.10420i
\(349\) −506792. + 877790.i −0.222724 + 0.385769i −0.955634 0.294556i \(-0.904828\pi\)
0.732910 + 0.680325i \(0.238161\pi\)
\(350\) −239947. 149569.i −0.104700 0.0652638i
\(351\) 1.00082e6 + 716943.i 0.433597 + 0.310611i
\(352\) 174206. + 470570.i 0.0749387 + 0.202427i
\(353\) −1.78252e6 1.02914e6i −0.761374 0.439579i 0.0684149 0.997657i \(-0.478206\pi\)
−0.829789 + 0.558077i \(0.811539\pi\)
\(354\) −197979. 270595.i −0.0839676 0.114766i
\(355\) 160372. 92591.0i 0.0675396 0.0389940i
\(356\) −1.08850e6 730732.i −0.455203 0.305586i
\(357\) −288584. 367676.i −0.119840 0.152684i
\(358\) 20908.5 + 39219.1i 0.00862213 + 0.0161730i
\(359\) 301586. 0.123502 0.0617512 0.998092i \(-0.480331\pi\)
0.0617512 + 0.998092i \(0.480331\pi\)
\(360\) 176160. + 62573.2i 0.0716393 + 0.0254467i
\(361\) 2.30298e6 0.930086
\(362\) −1.19678e6 2.24487e6i −0.480003 0.900368i
\(363\) −2.36952e6 + 338411.i −0.943831 + 0.134796i
\(364\) −138913. 93255.0i −0.0549529 0.0368909i
\(365\) 84290.9 48665.4i 0.0331168 0.0191200i
\(366\) −1.18115e6 + 2.67688e6i −0.460897 + 1.04454i
\(367\) −1.93072e6 1.11470e6i −0.748261 0.432009i 0.0768040 0.997046i \(-0.475528\pi\)
−0.825065 + 0.565037i \(0.808862\pi\)
\(368\) 1.62164e6 2.09450e6i 0.624215 0.806234i
\(369\) −3.59978e6 880471.i −1.37629 0.336627i
\(370\) −214612. 133777.i −0.0814985 0.0508016i
\(371\) 44106.5 76394.7i 0.0166367 0.0288156i
\(372\) −3.31876e6 1.60051e6i −1.24342 0.599654i
\(373\) 898552. + 1.55634e6i 0.334404 + 0.579204i 0.983370 0.181613i \(-0.0581318\pi\)
−0.648966 + 0.760817i \(0.724798\pi\)
\(374\) 30871.3 912778.i 0.0114124 0.337432i
\(375\) −383143. 153806.i −0.140696 0.0564799i
\(376\) 3.01751e6 4.18215e6i 1.10073 1.52556i
\(377\) 1.62978e6i 0.590574i
\(378\) 131625. + 318608.i 0.0473814 + 0.114690i
\(379\) 2.14708e6i 0.767804i 0.923374 + 0.383902i \(0.125420\pi\)
−0.923374 + 0.383902i \(0.874580\pi\)
\(380\) 56455.0 + 3823.13i 0.0200560 + 0.00135819i
\(381\) 625735. + 251190.i 0.220840 + 0.0886522i
\(382\) 2.88764e6 + 97663.5i 1.01248 + 0.0342431i
\(383\) −1.30237e6 2.25578e6i −0.453669 0.785777i 0.544942 0.838474i \(-0.316552\pi\)
−0.998611 + 0.0526965i \(0.983218\pi\)
\(384\) −2.87656e6 273515.i −0.995510 0.0946572i
\(385\) −2961.27 + 5129.06i −0.00101818 + 0.00176354i
\(386\) −2.63326e6 + 4.22442e6i −0.899551 + 1.44311i
\(387\) 533673. + 1.83025e6i 0.181133 + 0.621203i
\(388\) 657764. + 1.34113e6i 0.221815 + 0.452264i
\(389\) −3.00548e6 1.73521e6i −1.00702 0.581405i −0.0967049 0.995313i \(-0.530830\pi\)
−0.910319 + 0.413908i \(0.864164\pi\)
\(390\) −111434. 49169.4i −0.0370984 0.0163694i
\(391\) −4.17537e6 + 2.41065e6i −1.38119 + 0.797429i
\(392\) 1.22741e6 + 2.73254e6i 0.403435 + 0.898154i
\(393\) 3.23507e6 462027.i 1.05658 0.150899i
\(394\) 812660. 433244.i 0.263735 0.140602i
\(395\) 156749. 0.0505490
\(396\) −203878. + 641994.i −0.0653330 + 0.205728i
\(397\) 5.78885e6 1.84338 0.921692 0.387922i \(-0.126807\pi\)
0.921692 + 0.387922i \(0.126807\pi\)
\(398\) −3.92590e6 + 2.09297e6i −1.24231 + 0.662302i
\(399\) 64422.9 + 82079.2i 0.0202585 + 0.0258108i
\(400\) 3.15246e6 + 428935.i 0.985143 + 0.134042i
\(401\) −2.02846e6 + 1.17113e6i −0.629950 + 0.363702i −0.780733 0.624865i \(-0.785154\pi\)
0.150782 + 0.988567i \(0.451821\pi\)
\(402\) −4.73274e6 + 3.46269e6i −1.46066 + 1.06868i
\(403\) 2.07897e6 + 1.20029e6i 0.637655 + 0.368150i
\(404\) 2.18382e6 1.07107e6i 0.665678 0.326485i
\(405\) 134880. + 211623.i 0.0408610 + 0.0641101i
\(406\) −241407. + 387278.i −0.0726833 + 0.116602i
\(407\) 455608. 789137.i 0.136334 0.236138i
\(408\) 4.65726e6 + 2.44338e6i 1.38510 + 0.726677i
\(409\) −1.17070e6 2.02771e6i −0.346048 0.599373i 0.639495 0.768795i \(-0.279143\pi\)
−0.985544 + 0.169422i \(0.945810\pi\)
\(410\) 366431. + 12393.1i 0.107655 + 0.00364101i
\(411\) −1.40976e6 + 1.10650e6i −0.411662 + 0.323108i
\(412\) 8164.48 120563.i 0.00236966 0.0349920i
\(413\) 61168.6i 0.0176463i
\(414\) 3.44541e6 879426.i 0.987961 0.252173i
\(415\) 233781.i 0.0666328i
\(416\) 1.85579e6 + 316728.i 0.525770 + 0.0897333i
\(417\) −475523. 3.32957e6i −0.133916 0.937665i
\(418\) −6891.64 + 203767.i −0.00192922 + 0.0570417i
\(419\) −2.33383e6 4.04232e6i −0.649434 1.12485i −0.983258 0.182217i \(-0.941673\pi\)
0.333824 0.942635i \(1.60834\pi\)
\(420\) −19196.5 28189.8i −0.00531004 0.00779774i
\(421\) 2.03900e6 3.53165e6i 0.560676 0.971119i −0.436762 0.899577i \(-0.643875\pi\)
0.997438 0.0715416i \(-0.0227919\pi\)
\(422\) 4.87721e6 + 3.04018e6i 1.33318 + 0.831032i
\(423\) 6.64612e6 1.93790e6i 1.80600 0.526601i
\(424\) −100500. + 987484.i −0.0271489 + 0.266757i
\(425\) −5.01490e6 2.89536e6i −1.34676 0.777553i
\(426\) −3.81996e6 + 414363.i −1.01985 + 0.110626i
\(427\) 462274. 266894.i 0.122696 0.0708385i
\(428\) −1.02836e6 + 1.53185e6i −0.271352 + 0.404209i
\(429\) 163493. 407275.i 0.0428899 0.106842i
\(430\) −88732.4 166440.i −0.0231426 0.0434097i
\(431\) 4.54361e6 1.17817 0.589085 0.808071i \(-0.299488\pi\)
0.589085 + 0.808071i \(0.299488\pi\)
\(432\) −2.81997e6 2.66340e6i −0.727000 0.686637i
\(433\) −6726.40 −0.00172410 −0.000862051 1.00000i \(-0.500274\pi\)
−0.000862051 1.00000i \(0.500274\pi\)
\(434\) 316227. + 593164.i 0.0805888 + 0.151165i
\(435\) −123762. + 308303.i −0.0313592 + 0.0781186i
\(436\) 3.14453e6 4.68413e6i 0.792210 1.18008i
\(437\) 932101. 538148.i 0.233485 0.134803i
\(438\) −2.00775e6 + 217787.i −0.500063 + 0.0542434i
\(439\) −4.27223e6 2.46657e6i −1.05802 0.610847i −0.133134 0.991098i \(-0.542504\pi\)
−0.924883 + 0.380251i \(0.875838\pi\)
\(440\) 6747.49 66298.7i 0.00166154 0.0163258i
\(441\) −955386. + 3.90607e6i −0.233928 + 0.956408i
\(442\) −2.90791e6 1.81263e6i −0.707987 0.441319i
\(443\) 2.52747e6 4.37771e6i 0.611895 1.05983i −0.379025 0.925386i \(-0.623741\pi\)
0.990921 0.134448i \(-0.0429260\pi\)
\(444\) 2.95349e6 + 4.33717e6i 0.711014 + 1.04412i
\(445\) 87058.8 + 150790.i 0.0208407 + 0.0360972i
\(446\) 44588.7 1.31836e6i 0.0106142 0.313833i
\(447\) −488719. 3.42196e6i −0.115689 0.810039i
\(448\) 394070. + 350147.i 0.0927637 + 0.0824244i
\(449\) 3.95256e6i 0.925257i −0.886552 0.462628i \(-0.846906\pi\)
0.886552 0.462628i \(-0.153094\pi\)
\(450\) 2.98383e6 + 3.05564e6i 0.694612 + 0.711329i
\(451\) 1.32107e6i 0.305833i
\(452\) −279251. + 4.12362e6i −0.0642908 + 0.949364i
\(453\) 5.15976e6 4.04983e6i 1.18136 0.927238i
\(454\) 4.96945e6 + 168073.i 1.13154 + 0.0382700i
\(455\) 11110.3 + 19243.6i 0.00251593 + 0.00435772i
\(456\) −1.03968e6 545456.i −0.234146 0.122842i
\(457\) −3.74368e6 + 6.48424e6i −0.838509 + 1.45234i 0.0526320 + 0.998614i \(0.483239\pi\)
−0.891141 + 0.453726i \(0.850094\pi\)
\(458\) 1.14482e6 1.83658e6i 0.255020 0.409116i
\(459\) 2.91472e6 + 6.43031e6i 0.645752 + 1.42462i
\(460\) −315854. + 154912.i −0.0695973 + 0.0341343i
\(461\) 4.43539e6 + 2.56077e6i 0.972029 + 0.561201i 0.899854 0.436191i \(-0.143673\pi\)
0.0721745 + 0.997392i \(0.477006\pi\)
\(462\) 99176.7 72562.1i 0.0216175 0.0158163i
\(463\) −3.47662e6 + 2.00723e6i −0.753711 + 0.435155i −0.827033 0.562153i \(-0.809973\pi\)
0.0733224 + 0.997308i \(0.476640\pi\)
\(464\) 692307. 5.08810e6i 0.149281 1.09714i
\(465\) 302128. + 384932.i 0.0647976 + 0.0825565i
\(466\) 1.11994e6 597062.i 0.238908 0.127366i
\(467\) −5.43636e6 −1.15350 −0.576748 0.816922i \(-0.695679\pi\)
−0.576748 + 0.816922i \(0.695679\pi\)
\(468\) 1.70352e6 + 1.86679e6i 0.359528 + 0.393986i
\(469\) 1.06985e6 0.224590
\(470\) −604388. + 322211.i −0.126203 + 0.0672814i
\(471\) −3.41575e6 + 487833.i −0.709470 + 0.101325i
\(472\) −282018. 627847.i −0.0582669 0.129718i
\(473\) 588564. 339807.i 0.120960 0.0698361i
\(474\) −2.97561e6 1.31297e6i −0.608318 0.268416i
\(475\) 1.11952e6 + 646353.i 0.227665 + 0.131443i
\(476\) −422505. 861455.i −0.0854701 0.174267i
\(477\) −921304. + 962604.i −0.185399 + 0.193710i
\(478\) −4.60297e6 + 7.38432e6i −0.921442 + 1.47823i
\(479\) −4.63944e6 + 8.03575e6i −0.923904 + 1.60025i −0.130589 + 0.991437i \(0.541687\pi\)
−0.793315 + 0.608812i \(0.791646\pi\)
\(480\) 327006. + 200841.i 0.0647817 + 0.0397877i
\(481\) −1.70939e6 2.96075e6i −0.336882 0.583497i
\(482\) 7.83482e6 + 264983.i 1.53607 + 0.0519518i
\(483\) −602024. 241671.i −0.117421 0.0471365i
\(484\) −4.90228e6 331982.i −0.951229 0.0644171i
\(485\) 198384.i 0.0382958i
\(486\) −787851. 5.14709e6i −0.151305 0.988487i
\(487\) 2.35999e6i 0.450908i 0.974254 + 0.225454i \(0.0723865\pi\)
−0.974254 + 0.225454i \(0.927614\pi\)
\(488\) −3.51436e6 + 4.87077e6i −0.668031 + 0.925866i
\(489\) −4.68829e6 1.88203e6i −0.886630 0.355921i
\(490\) 13447.6 397609.i 0.00253020 0.0748110i
\(491\) −4.26271e6 7.38323e6i −0.797961 1.38211i −0.920942 0.389701i \(-0.872579\pi\)
0.122980 0.992409i \(1.53925\pi\)
\(492\) −6.85224e6 3.30457e6i −1.27620 0.615464i
\(493\) −4.67314e6 + 8.09412e6i −0.865947 + 1.49986i
\(494\) 649156. + 404647.i 0.119683 + 0.0746035i
\(495\) 61855.4 64628.3i 0.0113466 0.0118552i
\(496\) −5.98061e6 4.63040e6i −1.09154 0.845111i
\(497\) 607073. + 350494.i 0.110243 + 0.0636486i
\(498\) 1.95820e6 4.43792e6i 0.353821 0.801874i
\(499\) −218746. + 126293.i −0.0393268 + 0.0227054i −0.519535 0.854449i \(-0.673895\pi\)
0.480208 + 0.877155i \(0.340561\pi\)
\(500\) −703668. 472385.i −0.125876 0.0845027i
\(501\) 3.86117e6 551447.i 0.687266 0.0981542i
\(502\) −3.49689e6 6.55931e6i −0.619332 1.16171i
\(503\) 6.25307e6 1.10198 0.550989 0.834512i \(-0.314251\pi\)
0.550989 + 0.834512i \(0.314251\pi\)
\(504\) 128287. + 695929.i 0.0224961 + 0.122036i
\(505\) −323037. −0.0563669
\(506\) −596326. 1.11856e6i −0.103540 0.194215i
\(507\) 2.55693e6 + 3.25770e6i 0.441772 + 0.562848i
\(508\) 1.14920e6 + 771481.i 0.197578 + 0.132637i
\(509\) 431856. 249332.i 0.0738830 0.0426564i −0.462603 0.886565i \(-0.653085\pi\)
0.536486 + 0.843909i \(0.319751\pi\)
\(510\) −412438. 563714.i −0.0702156 0.0959696i
\(511\) 319074. + 184218.i 0.0540555 + 0.0312090i
\(512\) −5.65917e6 1.77713e6i −0.954064 0.299601i
\(513\) −650677. 1.43549e6i −0.109162 0.240828i
\(514\) 3.00708e6 + 1.87445e6i 0.502039 + 0.312943i
\(515\) −8024.25 + 13898.4i −0.00133317 + 0.00230912i
\(516\) 290289. + 3.90282e6i 0.0479961 + 0.645290i
\(517\) −1.23393e6 2.13723e6i −0.203032 0.351661i
\(518\) 32358.5 956751.i 0.00529863 0.156666i
\(519\) 3.78526e6 2.97100e6i 0.616847 0.484155i
\(520\) −202762. 146297.i −0.0328835 0.0237261i
\(521\) 9.81352e6i 1.58391i 0.610579 + 0.791955i \(0.290937\pi\)
−0.610579 + 0.791955i \(0.709063\pi\)
\(522\) 4.93183e6 4.81593e6i 0.792195 0.773578i
\(523\) 1.10853e7i 1.77211i −0.463576 0.886057i \(-0.653434\pi\)
0.463576 0.886057i \(-0.346566\pi\)
\(524\) 6.69301e6 + 453250.i 1.06486 + 0.0721123i
\(525\) −110160. 771331.i −0.0174432 0.122136i
\(526\) −8.48187e6 286867.i −1.33668 0.0452081i
\(527\) 6.88333e6 + 1.19223e7i 1.07962 + 1.86996i
\(528\) −683423. + 1.20205e6i −0.106685 + 0.187645i
\(529\) −127624. + 221050.i −0.0198286 + 0.0343441i
\(530\) 69733.5 111870.i 0.0107833 0.0172991i
\(531\) 219517. 897487.i 0.0337855 0.138131i
\(532\) 94319.1 + 192310.i 0.0144484 + 0.0294592i
\(533\) 4.29246e6 + 2.47825e6i 0.654467 + 0.377857i
\(534\) −389605. 3.59172e6i −0.0591251 0.545066i
\(535\) 212206. 122517.i 0.0320534 0.0185060i
\(536\) −1.09811e7 + 4.93253e6i −1.65096 + 0.741580i
\(537\) −45626.0 + 113658.i −0.00682774 + 0.0170085i
\(538\) 1.32101e6 704257.i 0.196766 0.104900i
\(539\) 1.43347e6 0.212529
\(540\) 180492. + 482501.i 0.0266363 + 0.0712055i
\(541\) 2.27509e6 0.334200 0.167100 0.985940i \(-0.446560\pi\)
0.167100 + 0.985940i \(0.446560\pi\)
\(542\) 3.24914e6 1.73218e6i 0.475084 0.253276i
\(543\) 2.61160e6 6.50571e6i 0.380108 0.946881i
\(544\) 8.30842e6 + 6.89420e6i 1.20371 + 0.998818i
\(545\) −648891. + 374637.i −0.0935794 + 0.0540281i
\(546\) −49720.9 458370.i −0.00713768 0.0658013i
\(547\) 7.20659e6 + 4.16072e6i 1.02982 + 0.594567i 0.916933 0.399041i \(-0.130657\pi\)
0.112887 + 0.993608i \(0.463990\pi\)
\(548\) −3.30303e6 + 1.61999e6i −0.469852 + 0.230441i
\(549\) −7.74045e6 + 2.25699e6i −1.09606 + 0.319595i
\(550\) 805364. 1.29201e6i 0.113523 0.182120i
\(551\) 1.04322e6 1.80691e6i 0.146385 0.253547i
\(552\) 7.29353e6 295068.i 1.01880 0.0412168i
\(553\) 296679. + 513863.i 0.0412547 + 0.0714553i
\(554\) 2.68395e6 + 90774.4i 0.371535 + 0.0125658i
\(555\) −98528.9 689889.i −0.0135779 0.0950708i
\(556\) 466489. 6.88852e6i 0.0639963 0.945015i
\(557\) 1.46783e6i 0.200465i 0.994964 + 0.100232i \(0.0319586\pi\)
−0.994964 + 0.100232i \(0.968041\pi\)
\(558\) −2.51110e6 9.83796e6i −0.341412 1.33758i
\(559\) 2.54984e6i 0.345130i
\(560\) −26511.6 64797.5i −0.00357245 0.00873149i
\(561\) 1.97977e6 1.55390e6i 0.265587 0.208456i
\(562\) −312557. + 9.24146e6i −0.0417435 + 1.23424i
\(563\) 1.07987e6 + 1.87039e6i 0.143582 + 0.248691i 0.928843 0.370474i \(-0.120805\pi\)
−0.785261 + 0.619165i \(0.787471\pi\)
\(564\) 1.41722e7 1.05411e6i 1.87602 0.139537i
\(565\) 274455. 475370.i 0.0361701 0.0626485i
\(566\) 5.88014e6 + 3.66534e6i 0.771518 + 0.480921i
\(567\) −438467. + 842708.i −0.0572769 + 0.110083i
\(568\) −7.84707e6 798630.i −1.02056 0.103866i
\(569\) 2.42463e6 + 1.39986e6i 0.313954 + 0.181261i 0.648694 0.761049i \(-0.275315\pi\)
−0.334741 + 0.942310i \(0.608649\pi\)
\(570\) 92071.9 + 125842.i 0.0118697 + 0.0162233i
\(571\) 9.90022e6 5.71589e6i 1.27073 0.733658i 0.295607 0.955310i \(-0.404478\pi\)
0.975126 + 0.221651i \(0.0711447\pi\)
\(572\) 502136. 747987.i 0.0641699 0.0955881i
\(573\) 4.91586e6 + 6.26314e6i 0.625480 + 0.796903i
\(574\) 652915. + 1.22471e6i 0.0827136 + 0.155150i
\(575\) −8.03706e6 −1.01374
\(576\) −4.52535e6 6.55169e6i −0.568324 0.822805i
\(577\) 669533. 0.0837206 0.0418603 0.999123i \(-0.486672\pi\)
0.0418603 + 0.999123i \(0.486672\pi\)
\(578\) −5.46586e6 1.02526e7i −0.680517 1.27648i
\(579\) −1.35798e7 + 1.93944e6i −1.68343 + 0.240425i
\(580\) −380112. + 566218.i −0.0469183 + 0.0698898i
\(581\) −766391. + 442476.i −0.0941911 + 0.0543813i
\(582\) −1.66171e6 + 3.76597e6i −0.203352 + 0.460860i
\(583\) 411351. + 237494.i 0.0501235 + 0.0289388i
\(584\) −4.12438e6 419756.i −0.500411 0.0509289i
\(585\) −93954.7 322221.i −0.0113509 0.0389282i
\(586\) 5.33879e6 + 3.32790e6i 0.642242 + 0.400337i
\(587\) 197174. 341516.i 0.0236187 0.0409087i −0.853974 0.520315i \(-0.825815\pi\)
0.877593 + 0.479406i \(0.159148\pi\)
\(588\) −3.58574e6 + 7.43527e6i −0.427697 + 0.886857i
\(589\) −1.53662e6 2.66151e6i −0.182507 0.316111i
\(590\) −3089.82 + 91357.5i −0.000365429 + 0.0108047i
\(591\) 2.35512e6 + 945417.i 0.277360 + 0.111341i
\(592\) 4.07897e6 + 9.96948e6i 0.478350 + 1.16914i
\(593\) 5.00148e6i 0.584066i −0.956408 0.292033i \(-0.905668\pi\)
0.956408 0.292033i \(-0.0943317\pi\)
\(594\) −1.71556e6 + 708739.i −0.199499 + 0.0824177i
\(595\) 127429.i 0.0147562i
\(596\) 479434. 7.07967e6i 0.0552858 0.816389i
\(597\) −1.13774e7 4.56724e6i −1.30649 0.524467i
\(598\) −4.75313e6 160757.i −0.543534 0.0183830i
\(599\) 5.30363e6 + 9.18615e6i 0.603957 + 1.04608i 0.992215 + 0.124533i \(0.0397434\pi\)
−0.388259 + 0.921550i \(0.626923\pi\)
\(600\) 4.68693e6 + 7.40921e6i 0.531509 + 0.840222i
\(601\) 3.48253e6 6.03191e6i 0.393286 0.681191i −0.599595 0.800304i \(-0.704672\pi\)
0.992881 + 0.119113i \(0.0380050\pi\)
\(602\) 377689. 605908.i 0.0424759 0.0681421i
\(603\) −1.56972e7 3.83937e6i −1.75804 0.429999i
\(604\) 1.20892e7 5.92919e6i 1.34836 0.661307i
\(605\) 565134. + 326280.i 0.0627715 + 0.0362412i
\(606\) 6.13230e6 + 2.70584e6i 0.678332 + 0.299309i
\(607\) −1.36935e7 + 7.90597e6i −1.50850 + 0.870930i −0.508544 + 0.861036i \(0.669816\pi\)
−0.999951 + 0.00989422i \(0.996851\pi\)
\(608\) −1.85475e6 1.53905e6i −0.203483 0.168847i
\(609\) −1.24494e6 + 177800.i −0.136021 + 0.0194262i
\(610\) 703904. 375265.i 0.0765930 0.0408332i
\(611\) −9.25912e6 −1.00338
\(612\) 3.10762e6 + 1.41558e7i 0.335389 + 1.52776i
\(613\) 133521. 0.0143515 0.00717575 0.999974i \(-0.497716\pi\)
0.00717575 + 0.999974i \(0.497716\pi\)
\(614\) 7.70369e6 4.10698e6i 0.824665 0.439645i
\(615\) 623805. + 794769.i 0.0665060 + 0.0847331i
\(616\) 230115. 103363.i 0.0244339 0.0109753i
\(617\) 1.06772e7 6.16447e6i 1.12913 0.651902i 0.185413 0.982661i \(-0.440638\pi\)
0.943715 + 0.330758i \(0.107304\pi\)
\(618\) 268743. 196624.i 0.0283052 0.0207093i
\(619\) 8.56059e6 + 4.94246e6i 0.898001 + 0.518461i 0.876551 0.481309i \(-0.159838\pi\)
0.0214502 + 0.999770i \(0.493172\pi\)
\(620\) 442334. + 901886.i 0.0462137 + 0.0942263i
\(621\) 7.96582e6 + 5.70638e6i 0.828899 + 0.593788i
\(622\) −7.02550e6 + 1.12707e7i −0.728117 + 1.16808i
\(623\) −329552. + 570801.i −0.0340176 + 0.0589202i
\(624\) 2.62366e6 + 4.47557e6i 0.269741 + 0.460137i
\(625\) −4.79831e6 8.31092e6i −0.491347 0.851038i
\(626\) −7.97166e6 269611.i −0.813042 0.0274981i
\(627\) −441960. + 346889.i −0.0448966 + 0.0352388i
\(628\) −7.06683e6 478565.i −0.715032 0.0484219i
\(629\) 1.96057e7i 1.97586i
\(630\) 25402.2 90485.0i 0.00254988 0.00908292i
\(631\) 1.28910e7i 1.28888i −0.764653 0.644442i \(-0.777090\pi\)
0.764653 0.644442i \(-0.222910\pi\)
\(632\) −5.41434e6 3.90656e6i −0.539204 0.389047i
\(633\) 2.23914e6 + 1.56782e7i 0.222112 + 1.55520i
\(634\) −380559. + 1.12521e7i −0.0376010 + 1.11176i
\(635\) −91913.5 159199.i −0.00904576 0.0156677i
\(636\) −2.26082e6 + 1.53956e6i −0.221627 + 0.150922i
\(637\) 2.68911e6 4.65768e6i 0.262579 0.454801i
\(638\) −2.08532e6 1.29987e6i −0.202824 0.126429i
\(639\) −7.64936e6 7.32117e6i −0.741094 0.709298i
\(640\) 570870. + 542863.i 0.0550918 + 0.0523891i
\(641\) −7.67906e6 4.43351e6i −0.738181 0.426189i 0.0832264 0.996531i \(-0.473478\pi\)
−0.821408 + 0.570342i \(0.806811\pi\)
\(642\) −5.05460e6 + 548289.i −0.484005 + 0.0525016i
\(643\) 9.18917e6 5.30537e6i 0.876494 0.506044i 0.00699288 0.999976i \(-0.497774\pi\)
0.869501 + 0.493932i \(0.164441\pi\)
\(644\) −1.10566e6 742247.i −0.105052 0.0705235i
\(645\) 193630. 482349.i 0.0183263 0.0456523i
\(646\) 2.06370e6 + 3.87100e6i 0.194565 + 0.364957i
\(647\) 2.37142e6 0.222714 0.111357 0.993780i \(-0.464480\pi\)
0.111357 + 0.993780i \(0.464480\pi\)
\(648\) 615212. 1.06713e7i 0.0575556 0.998342i
\(649\) −329365. −0.0306949
\(650\) −2.68721e6 5.04054e6i −0.249470 0.467944i
\(651\) −690065. + 1.71901e6i −0.0638171 + 0.158974i
\(652\) −8.61036e6 5.78028e6i −0.793236 0.532513i
\(653\) −8.07136e6 + 4.66000e6i −0.740737 + 0.427665i −0.822337 0.569001i \(-0.807330\pi\)
0.0816004 + 0.996665i \(0.473997\pi\)
\(654\) 1.54561e7 1.67657e6i 1.41305 0.153278i
\(655\) −771568. 445465.i −0.0702701 0.0405705i
\(656\) −1.23482e7 9.56039e6i −1.12032 0.867393i
\(657\) −4.02047e6 3.84797e6i −0.363382 0.347791i
\(658\) −2.20021e6 1.37149e6i −0.198107 0.123489i
\(659\) 971185. 1.68214e6i 0.0871141 0.150886i −0.819176 0.573542i \(-0.805569\pi\)
0.906290 + 0.422656i \(0.138902\pi\)
\(660\) 151789. 103364.i 0.0135638 0.00923657i
\(661\) −8.93142e6 1.54697e7i −0.795091 1.37714i −0.922781 0.385324i \(-0.874090\pi\)
0.127690 0.991814i \(-0.459244\pi\)
\(662\) −541387. + 1.60073e7i −0.0480134 + 1.41962i
\(663\) −1.33503e6 9.34774e6i −0.117952 0.825891i
\(664\) 5.82636e6 8.07511e6i 0.512834 0.710769i
\(665\) 28446.9i 0.00249449i
\(666\) −3.90828e6 + 1.39217e7i −0.341429 + 1.21620i
\(667\) 1.29719e7i 1.12899i
\(668\) 7.98835e6 + 540970.i 0.692653 + 0.0469064i
\(669\) 2.85946e6 2.24436e6i 0.247013 0.193877i
\(670\) 1.59785e6 + 54041.4i 0.137515 + 0.00465093i
\(671\) 1.43710e6 + 2.48914e6i 0.123220 + 0.213424i
\(672\) −39482.4 + 1.45214e6i −0.00337272 + 0.124046i
\(673\) 3.31863e6 5.74803e6i 0.282436 0.489194i −0.689548 0.724240i \(-0.742191\pi\)
0.971984 + 0.235046i \(0.0755241\pi\)
\(674\) 2.15954e6 3.46445e6i 0.183110 0.293754i
\(675\) −1.15178e6 + 1.17126e7i −0.0972990 + 0.989448i
\(676\) 3.74350e6 + 7.63271e6i 0.315073 + 0.642409i
\(677\) −2.38918e6 1.37940e6i −0.200345 0.115669i 0.396472 0.918047i \(-0.370235\pi\)
−0.596816 + 0.802378i \(0.703568\pi\)
\(678\) −9.19186e6 + 6.72517e6i −0.767944 + 0.561861i
\(679\) 650351. 375480.i 0.0541344 0.0312545i
\(680\) −587511. 1.30796e6i −0.0487241 0.108473i
\(681\) 8.45990e6 + 1.07785e7i 0.699033 + 0.890615i
\(682\) −3.19392e6 + 1.70274e6i −0.262944 + 0.140181i
\(683\) 462361. 0.0379253 0.0189627 0.999820i \(-0.493964\pi\)
0.0189627 + 0.999820i \(0.493964\pi\)
\(684\) −693739. 3.16012e6i −0.0566964 0.258263i
\(685\) 488594. 0.0397852
\(686\) 2.67861e6 1.42802e6i 0.217320 0.115857i
\(687\) 5.90386e6 843180.i 0.477248 0.0681598i
\(688\) −1.08314e6 + 7.96050e6i −0.0872392 + 0.641164i
\(689\) 1.54334e6 891048.i 0.123855 0.0715078i
\(690\) −886937. 391355.i −0.0709202 0.0312931i
\(691\) −4.14382e6 2.39243e6i −0.330146 0.190610i 0.325760 0.945452i \(-0.394380\pi\)
−0.655906 + 0.754843i \(0.727713\pi\)
\(692\) 8.86877e6 4.34973e6i 0.704041 0.345300i
\(693\) 328941. + 80455.8i 0.0260187 + 0.00636391i
\(694\) 4.49472e6 7.21067e6i 0.354245 0.568299i
\(695\) −458477. + 794106.i −0.0360044 + 0.0623615i
\(696\) 1.19586e7 7.56477e6i 0.935741 0.591933i
\(697\) 1.42120e7 + 2.46160e7i 1.10809 + 1.91926i
\(698\) −5.73042e6 193810.i −0.445193 0.0150570i
\(699\) 3.24563e6 + 1.30290e6i 0.251250 + 0.100860i
\(700\) 108067. 1.59580e6i 0.00833585 0.123093i
\(701\) 1.31247e7i 1.00877i 0.863478 + 0.504387i \(0.168281\pi\)
−0.863478 + 0.504387i \(0.831719\pi\)
\(702\) −915436. + 6.90380e6i −0.0701109 + 0.528744i
\(703\) 4.37673e6i 0.334012i
\(704\) −1.88539e6 + 2.12189e6i −0.143373 + 0.161358i
\(705\) −1.75154e6 703122.i −0.132723 0.0532792i
\(706\) 393568. 1.16367e7i 0.0297172 0.878657i
\(707\) −611412. 1.05900e6i −0.0460029 0.0796794i
\(708\) 823887. 1.70838e6i 0.0617710 0.128086i
\(709\) −3.98415e6 + 6.90074e6i −0.297659 + 0.515561i −0.975600 0.219555i \(-0.929539\pi\)
0.677941 + 0.735117i \(0.262873\pi\)
\(710\) 888980. + 554140.i 0.0661830 + 0.0412547i
\(711\) −2.50887e6 8.60427e6i −0.186125 0.638323i
\(712\) 750912. 7.37822e6i 0.0555123 0.545446i
\(713\) 1.65472e7 + 9.55353e6i 1.21899 + 0.703785i
\(714\) 1.06737e6 2.41902e6i 0.0783558 0.177580i
\(715\) −103618. + 59824.1i −0.00758004 + 0.00437634i
\(716\) −140132. + 208741.i −0.0102154 + 0.0152169i
\(717\) −2.37375e7 + 3.39016e6i −1.72440 + 0.246276i
\(718\) 802586. + 1.50545e6i 0.0581006 + 0.108982i
\(719\) 5.58804e6 0.403123 0.201561 0.979476i \(-0.435398\pi\)
0.201561 + 0.979476i \(0.435398\pi\)
\(720\) 156448. + 1.04587e6i 0.0112471 + 0.0751879i
\(721\) −60749.9 −0.00435219
\(722\) 6.12874e6 + 1.14960e7i 0.437550 + 0.820737i
\(723\) 1.33379e7 + 1.69933e7i 0.948943 + 1.20902i
\(724\) 8.02102e6 1.19482e7i 0.568700 0.847140i
\(725\) −1.34928e7 + 7.79008e6i −0.953362 + 0.550424i
\(726\) −7.99508e6 1.09276e7i −0.562965 0.769452i
\(727\) −2.72597e6 1.57384e6i −0.191287 0.110439i 0.401298 0.915948i \(-0.368559\pi\)
−0.592585 + 0.805508i \(0.701893\pi\)
\(728\) 95830.4 941598.i 0.00670154 0.0658472i
\(729\) 9.45759e6 1.07910e7i 0.659115 0.752042i
\(730\) 467244. + 291253.i 0.0324516 + 0.0202285i
\(731\) 7.31128e6 1.26635e7i 0.506057 0.876517i
\(732\) −1.65057e7 + 1.22768e6i −1.13856 + 0.0846852i
\(733\) 1.20330e7 + 2.08418e7i 0.827209 + 1.43277i 0.900219 + 0.435438i \(0.143406\pi\)
−0.0730095 + 0.997331i \(0.523260\pi\)
\(734\) 426289. 1.26042e7i 0.0292054 0.863524i
\(735\) 862393. 676881.i 0.0588826 0.0462162i
\(736\) 1.47708e7 + 2.52094e6i 1.00510 + 0.171541i
\(737\) 5.76065e6i 0.390663i
\(738\) −5.18467e6 2.03125e7i −0.350413 1.37285i
\(739\) 4.89450e6i 0.329683i −0.986320 0.164842i \(-0.947289\pi\)
0.986320 0.164842i \(-0.0527113\pi\)
\(740\) 96657.0 1.42731e6i 0.00648865 0.0958160i
\(741\) 298029. + 2.08677e6i 0.0199395 + 0.139614i
\(742\) 498723. + 16867.4i 0.0332544 + 0.00112470i
\(743\) −2.80417e6 4.85696e6i −0.186351 0.322770i 0.757680 0.652626i \(-0.226333\pi\)
−0.944031 + 0.329857i \(0.893000\pi\)
\(744\) −842533. 2.08258e7i −0.0558026 1.37934i
\(745\) −471200. + 816142.i −0.0311039 + 0.0538735i
\(746\) −5.37766e6 + 8.62713e6i −0.353791 + 0.567570i
\(747\) 1.28327e7 3.74180e6i 0.841425 0.245346i
\(748\) 4.63855e6 2.27500e6i 0.303129 0.148671i
\(749\) 803285. + 463777.i 0.0523197 + 0.0302068i
\(750\) −251862. 2.32188e6i −0.0163497 0.150725i
\(751\) 1.23051e7 7.10437e6i 0.796134 0.459648i −0.0459832 0.998942i \(-0.514642\pi\)
0.842118 + 0.539294i \(0.181309\pi\)
\(752\) 2.89067e7 + 3.93315e6i 1.86403 + 0.253627i
\(753\) 7.63085e6 1.90091e7i 0.490440 1.22173i
\(754\) −8.13550e6 + 4.33719e6i −0.521141 + 0.277830i
\(755\) −1.78826e6 −0.114173
\(756\) −1.24014e6 + 1.50493e6i −0.0789163 + 0.0957659i
\(757\) −1.75241e7 −1.11147 −0.555733 0.831361i \(-0.687562\pi\)
−0.555733 + 0.831361i \(0.687562\pi\)
\(758\) −1.07178e7 + 5.71385e6i −0.677534 + 0.361206i
\(759\) 1.30129e6 3.24163e6i 0.0819917 0.204248i
\(760\) 131155. + 291985.i 0.00823664 + 0.0183370i
\(761\) −9.78403e6 + 5.64882e6i −0.612430 + 0.353587i −0.773916 0.633288i \(-0.781705\pi\)