Properties

Label 36.6.h.a.11.14
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 11.14
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0499164 + 5.65663i) q^{2} +(14.1974 - 6.43687i) q^{3} +(-31.9950 - 0.564717i) q^{4} +(70.1957 - 40.5275i) q^{5} +(35.7024 + 80.6309i) q^{6} +(89.9985 + 51.9607i) q^{7} +(4.79147 - 180.956i) q^{8} +(160.133 - 182.774i) q^{9} +O(q^{10})\) \(q+(-0.0499164 + 5.65663i) q^{2} +(14.1974 - 6.43687i) q^{3} +(-31.9950 - 0.564717i) q^{4} +(70.1957 - 40.5275i) q^{5} +(35.7024 + 80.6309i) q^{6} +(89.9985 + 51.9607i) q^{7} +(4.79147 - 180.956i) q^{8} +(160.133 - 182.774i) q^{9} +(225.745 + 399.094i) q^{10} +(-214.271 + 371.129i) q^{11} +(-457.882 + 197.930i) q^{12} +(42.9574 + 74.4044i) q^{13} +(-298.415 + 506.495i) q^{14} +(735.727 - 1027.23i) q^{15} +(1023.36 + 36.1363i) q^{16} +1509.75i q^{17} +(1025.89 + 914.939i) q^{18} -1224.53i q^{19} +(-2268.80 + 1257.04i) q^{20} +(1612.21 + 158.398i) q^{21} +(-2088.64 - 1230.58i) q^{22} +(-1530.14 - 2650.27i) q^{23} +(-1096.76 - 2599.95i) q^{24} +(1722.45 - 2983.38i) q^{25} +(-423.023 + 239.280i) q^{26} +(1096.99 - 3625.68i) q^{27} +(-2850.16 - 1713.31i) q^{28} +(-4347.44 - 2510.00i) q^{29} +(5773.92 + 4213.01i) q^{30} +(-3400.78 + 1963.44i) q^{31} +(-255.492 + 5786.98i) q^{32} +(-653.189 + 6648.30i) q^{33} +(-8540.08 - 75.3610i) q^{34} +8423.34 q^{35} +(-5226.68 + 5757.43i) q^{36} +13035.3 q^{37} +(6926.71 + 61.1240i) q^{38} +(1088.82 + 779.839i) q^{39} +(-6997.35 - 12896.5i) q^{40} +(-15071.6 + 8701.62i) q^{41} +(-976.476 + 9111.78i) q^{42} +(-5754.33 - 3322.27i) q^{43} +(7065.19 - 11753.3i) q^{44} +(3833.29 - 19319.7i) q^{45} +(15068.0 - 8523.13i) q^{46} +(-10068.4 + 17438.9i) q^{47} +(14761.7 - 6074.21i) q^{48} +(-3003.68 - 5202.52i) q^{49} +(16789.9 + 9892.22i) q^{50} +(9718.04 + 21434.5i) q^{51} +(-1332.41 - 2404.83i) q^{52} +18043.0i q^{53} +(20454.4 + 6386.23i) q^{54} +34735.5i q^{55} +(9833.82 - 16036.8i) q^{56} +(-7882.14 - 17385.1i) q^{57} +(14415.1 - 24466.6i) q^{58} +(-14736.4 - 25524.2i) q^{59} +(-24119.7 + 32450.6i) q^{60} +(-11989.0 + 20765.6i) q^{61} +(-10936.7 - 19335.0i) q^{62} +(23908.8 - 8128.76i) q^{63} +(-32722.1 - 1734.09i) q^{64} +(6030.85 + 3481.91i) q^{65} +(-37574.4 - 4026.71i) q^{66} +(-348.663 + 201.301i) q^{67} +(852.579 - 48304.3i) q^{68} +(-38783.4 - 27777.7i) q^{69} +(-420.463 + 47647.8i) q^{70} -36645.5 q^{71} +(-32306.8 - 29852.8i) q^{72} +58635.9 q^{73} +(-650.675 + 73735.9i) q^{74} +(5250.77 - 53443.5i) q^{75} +(-691.512 + 39178.8i) q^{76} +(-38568.2 + 22267.4i) q^{77} +(-4465.62 + 6120.11i) q^{78} +(39354.5 + 22721.3i) q^{79} +(73300.1 - 38937.7i) q^{80} +(-7763.66 - 58536.4i) q^{81} +(-48469.5 - 85689.1i) q^{82} +(27253.7 - 47204.9i) q^{83} +(-51493.3 - 5978.39i) q^{84} +(61186.2 + 105978. i) q^{85} +(19080.1 - 32384.3i) q^{86} +(-77879.0 - 7651.53i) q^{87} +(66131.2 + 40551.9i) q^{88} -45338.5i q^{89} +(109093. + 22647.9i) q^{90} +8928.39i q^{91} +(47460.1 + 85659.6i) q^{92} +(-35643.9 + 49766.3i) q^{93} +(-98143.1 - 57823.6i) q^{94} +(-49627.1 - 85956.6i) q^{95} +(33622.7 + 83804.8i) q^{96} +(41820.0 - 72434.3i) q^{97} +(29578.7 - 16731.0i) q^{98} +(33520.7 + 98593.2i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0499164 + 5.65663i −0.00882405 + 0.999961i
\(3\) 14.1974 6.43687i 0.910765 0.412926i
\(4\) −31.9950 0.564717i −0.999844 0.0176474i
\(5\) 70.1957 40.5275i 1.25570 0.724978i 0.283463 0.958983i \(-0.408517\pi\)
0.972235 + 0.234005i \(0.0751833\pi\)
\(6\) 35.7024 + 80.6309i 0.404873 + 0.914373i
\(7\) 89.9985 + 51.9607i 0.694209 + 0.400802i 0.805187 0.593021i \(-0.202065\pi\)
−0.110978 + 0.993823i \(0.535398\pi\)
\(8\) 4.79147 180.956i 0.0264694 0.999650i
\(9\) 160.133 182.774i 0.658985 0.752156i
\(10\) 225.745 + 399.094i 0.713869 + 1.26205i
\(11\) −214.271 + 371.129i −0.533927 + 0.924789i 0.465287 + 0.885160i \(0.345951\pi\)
−0.999214 + 0.0396293i \(0.987382\pi\)
\(12\) −457.882 + 197.930i −0.917910 + 0.396789i
\(13\) 42.9574 + 74.4044i 0.0704985 + 0.122107i 0.899120 0.437702i \(-0.144208\pi\)
−0.828621 + 0.559809i \(0.810874\pi\)
\(14\) −298.415 + 506.495i −0.406912 + 0.690645i
\(15\) 735.727 1027.23i 0.844284 1.17879i
\(16\) 1023.36 + 36.1363i 0.999377 + 0.0352893i
\(17\) 1509.75i 1.26701i 0.773737 + 0.633507i \(0.218385\pi\)
−0.773737 + 0.633507i \(0.781615\pi\)
\(18\) 1025.89 + 914.939i 0.746312 + 0.665596i
\(19\) 1224.53i 0.778189i −0.921198 0.389094i \(-0.872788\pi\)
0.921198 0.389094i \(-0.127212\pi\)
\(20\) −2268.80 + 1257.04i −1.26830 + 0.702705i
\(21\) 1612.21 + 158.398i 0.797763 + 0.0783794i
\(22\) −2088.64 1230.58i −0.920042 0.542067i
\(23\) −1530.14 2650.27i −0.603129 1.04465i −0.992344 0.123503i \(-0.960587\pi\)
0.389215 0.921147i \(1.62725\pi\)
\(24\) −1096.76 2599.95i −0.388674 0.921375i
\(25\) 1722.45 2983.38i 0.551186 0.954681i
\(26\) −423.023 + 239.280i −0.122724 + 0.0694183i
\(27\) 1096.99 3625.68i 0.289595 0.957149i
\(28\) −2850.16 1713.31i −0.687028 0.412990i
\(29\) −4347.44 2510.00i −0.959929 0.554215i −0.0637776 0.997964i \(-0.520315\pi\)
−0.896151 + 0.443749i \(0.853648\pi\)
\(30\) 5773.92 + 4213.01i 1.17130 + 0.854653i
\(31\) −3400.78 + 1963.44i −0.635587 + 0.366956i −0.782913 0.622132i \(-0.786267\pi\)
0.147326 + 0.989088i \(0.452933\pi\)
\(32\) −255.492 + 5786.98i −0.0441065 + 0.999027i
\(33\) −653.189 + 6648.30i −0.104413 + 1.06274i
\(34\) −8540.08 75.3610i −1.26696 0.0111802i
\(35\) 8423.34 1.16229
\(36\) −5226.68 + 5757.43i −0.672156 + 0.740410i
\(37\) 13035.3 1.56537 0.782684 0.622419i \(-0.213850\pi\)
0.782684 + 0.622419i \(0.213850\pi\)
\(38\) 6926.71 + 61.1240i 0.778158 + 0.00686677i
\(39\) 1088.82 + 779.839i 0.114629 + 0.0821001i
\(40\) −6997.35 12896.5i −0.691486 1.27445i
\(41\) −15071.6 + 8701.62i −1.40024 + 0.808426i −0.994416 0.105527i \(-0.966347\pi\)
−0.405819 + 0.913954i \(0.633014\pi\)
\(42\) −976.476 + 9111.78i −0.0854158 + 0.797040i
\(43\) −5754.33 3322.27i −0.474596 0.274008i 0.243566 0.969884i \(-0.421683\pi\)
−0.718162 + 0.695876i \(0.755016\pi\)
\(44\) 7065.19 11753.3i 0.550164 0.915223i
\(45\) 3833.29 19319.7i 0.282189 1.42223i
\(46\) 15068.0 8523.13i 1.04993 0.593888i
\(47\) −10068.4 + 17438.9i −0.664836 + 1.15153i 0.314494 + 0.949260i \(0.398165\pi\)
−0.979330 + 0.202270i \(0.935168\pi\)
\(48\) 14761.7 6074.21i 0.924769 0.380528i
\(49\) −3003.68 5202.52i −0.178716 0.309545i
\(50\) 16789.9 + 9892.22i 0.949781 + 0.559588i
\(51\) 9718.04 + 21434.5i 0.523183 + 1.15395i
\(52\) −1332.41 2404.83i −0.0683326 0.123332i
\(53\) 18043.0i 0.882304i 0.897432 + 0.441152i \(0.145430\pi\)
−0.897432 + 0.441152i \(0.854570\pi\)
\(54\) 20454.4 + 6386.23i 0.954556 + 0.298030i
\(55\) 34735.5i 1.54834i
\(56\) 9833.82 16036.8i 0.419037 0.683357i
\(57\) −7882.14 17385.1i −0.321334 0.708747i
\(58\) 14415.1 24466.6i 0.562664 0.955001i
\(59\) −14736.4 25524.2i −0.551140 0.954602i −0.998193 0.0600943i \(-0.980860\pi\)
0.447053 0.894507i \(1.64753\pi\)
\(60\) −24119.7 + 32450.6i −0.864955 + 1.16371i
\(61\) −11989.0 + 20765.6i −0.412533 + 0.714528i −0.995166 0.0982073i \(-0.968689\pi\)
0.582633 + 0.812735i \(0.302023\pi\)
\(62\) −10936.7 19335.0i −0.361334 0.638800i
\(63\) 23908.8 8128.76i 0.758939 0.258032i
\(64\) −32722.1 1734.09i −0.998599 0.0529203i
\(65\) 6030.85 + 3481.91i 0.177050 + 0.102220i
\(66\) −37574.4 4026.71i −1.06177 0.113786i
\(67\) −348.663 + 201.301i −0.00948897 + 0.00547846i −0.504737 0.863273i \(-0.668411\pi\)
0.495248 + 0.868752i \(0.335077\pi\)
\(68\) 852.579 48304.3i 0.0223595 1.26682i
\(69\) −38783.4 27777.7i −0.980672 0.702383i
\(70\) −420.463 + 47647.8i −0.0102561 + 1.16224i
\(71\) −36645.5 −0.862730 −0.431365 0.902178i \(-0.641968\pi\)
−0.431365 + 0.902178i \(0.641968\pi\)
\(72\) −32306.8 29852.8i −0.734450 0.678663i
\(73\) 58635.9 1.28782 0.643911 0.765100i \(-0.277311\pi\)
0.643911 + 0.765100i \(0.277311\pi\)
\(74\) −650.675 + 73735.9i −0.0138129 + 1.56531i
\(75\) 5250.77 53443.5i 0.107788 1.09709i
\(76\) −691.512 + 39178.8i −0.0137330 + 0.778067i
\(77\) −38568.2 + 22267.4i −0.741314 + 0.427998i
\(78\) −4465.62 + 6120.11i −0.0831084 + 0.113900i
\(79\) 39354.5 + 22721.3i 0.709457 + 0.409605i 0.810860 0.585240i \(-0.199000\pi\)
−0.101403 + 0.994845i \(0.532333\pi\)
\(80\) 73300.1 38937.7i 1.28050 0.680213i
\(81\) −7763.66 58536.4i −0.131478 0.991319i
\(82\) −48469.5 85689.1i −0.796039 1.40731i
\(83\) 27253.7 47204.9i 0.434241 0.752128i −0.562992 0.826462i \(-0.690350\pi\)
0.997233 + 0.0743344i \(0.0236832\pi\)
\(84\) −51493.3 5978.39i −0.796255 0.0924456i
\(85\) 61186.2 + 105978.i 0.918557 + 1.59099i
\(86\) 19080.1 32384.3i 0.278185 0.472160i
\(87\) −77879.0 7651.53i −1.10312 0.108380i
\(88\) 66131.2 + 40551.9i 0.910332 + 0.558219i
\(89\) 45338.5i 0.606726i −0.952875 0.303363i \(-0.901891\pi\)
0.952875 0.303363i \(-0.0981094\pi\)
\(90\) 109093. + 22647.9i 1.41969 + 0.294728i
\(91\) 8928.39i 0.113024i
\(92\) 47460.1 + 85659.6i 0.584600 + 1.05513i
\(93\) −35643.9 + 49766.3i −0.427344 + 0.596661i
\(94\) −98143.1 57823.6i −1.14562 0.674971i
\(95\) −49627.1 85956.6i −0.564169 0.977170i
\(96\) 33622.7 + 83804.8i 0.372353 + 0.928091i
\(97\) 41820.0 72434.3i 0.451289 0.781655i −0.547178 0.837016i \(-0.684298\pi\)
0.998466 + 0.0553615i \(0.0176311\pi\)
\(98\) 29578.7 16731.0i 0.311110 0.175977i
\(99\) 33520.7 + 98593.2i 0.343736 + 1.01102i
\(100\) −56794.7 + 94480.6i −0.567947 + 0.944806i
\(101\) 107672. + 62164.7i 1.05027 + 0.606374i 0.922725 0.385459i \(-0.125957\pi\)
0.127545 + 0.991833i \(0.459290\pi\)
\(102\) −121732. + 53901.5i −1.15852 + 0.512980i
\(103\) 57893.0 33424.5i 0.537691 0.310436i −0.206452 0.978457i \(-0.566192\pi\)
0.744143 + 0.668021i \(0.232858\pi\)
\(104\) 13669.8 7416.89i 0.123930 0.0672417i
\(105\) 119590. 54220.0i 1.05857 0.479939i
\(106\) −102062. 900.639i −0.882270 0.00778550i
\(107\) 144038. 1.21624 0.608119 0.793846i \(-0.291924\pi\)
0.608119 + 0.793846i \(0.291924\pi\)
\(108\) −37145.6 + 115384.i −0.306441 + 0.951890i
\(109\) −137855. −1.11136 −0.555680 0.831396i \(-0.687542\pi\)
−0.555680 + 0.831396i \(0.687542\pi\)
\(110\) −196486. 1733.87i −1.54828 0.0136626i
\(111\) 185068. 83906.6i 1.42568 0.646381i
\(112\) 90223.4 + 56426.8i 0.679633 + 0.425050i
\(113\) −24697.0 + 14258.8i −0.181948 + 0.105048i −0.588208 0.808710i \(-0.700166\pi\)
0.406259 + 0.913758i \(0.366833\pi\)
\(114\) 98734.8 43718.6i 0.711555 0.315068i
\(115\) −214818. 124025.i −1.51470 0.874511i
\(116\) 137679. + 82762.5i 0.949999 + 0.571069i
\(117\) 20478.1 + 4063.13i 0.138301 + 0.0274407i
\(118\) 145117. 82084.4i 0.959428 0.542695i
\(119\) −78447.4 + 135875.i −0.507821 + 0.879573i
\(120\) −182357. 138056.i −1.15603 0.875190i
\(121\) −11298.8 19570.0i −0.0701565 0.121515i
\(122\) −116865. 68854.0i −0.710860 0.418822i
\(123\) −157967. + 220555.i −0.941465 + 1.31448i
\(124\) 109917. 60899.9i 0.641964 0.355683i
\(125\) 25930.3i 0.148434i
\(126\) 44788.0 + 135649.i 0.251325 + 0.761186i
\(127\) 74540.3i 0.410093i 0.978752 + 0.205046i \(0.0657345\pi\)
−0.978752 + 0.205046i \(0.934266\pi\)
\(128\) 11442.5 185010.i 0.0617299 0.998093i
\(129\) −103082. 10127.7i −0.545390 0.0535840i
\(130\) −19996.9 + 33940.5i −0.103778 + 0.176141i
\(131\) 66965.9 + 115988.i 0.340938 + 0.590522i 0.984607 0.174782i \(-0.0559221\pi\)
−0.643669 + 0.765304i \(0.722589\pi\)
\(132\) 24653.2 212344.i 0.123151 1.06073i
\(133\) 63627.3 110206.i 0.311899 0.540226i
\(134\) −1121.28 1982.31i −0.00539451 0.00953694i
\(135\) −69935.9 298965.i −0.330267 1.41184i
\(136\) 273197. + 7233.90i 1.26657 + 0.0335371i
\(137\) −143212. 82683.3i −0.651894 0.376371i 0.137287 0.990531i \(-0.456162\pi\)
−0.789182 + 0.614160i \(0.789495\pi\)
\(138\) 159064. 217997.i 0.711009 0.974436i
\(139\) 105373. 60837.0i 0.462585 0.267074i −0.250546 0.968105i \(-0.580610\pi\)
0.713131 + 0.701031i \(0.247277\pi\)
\(140\) −269505. 4756.81i −1.16211 0.0205114i
\(141\) −30692.7 + 312397.i −0.130013 + 1.32330i
\(142\) 1829.21 207290.i 0.00761277 0.862696i
\(143\) −36818.2 −0.150564
\(144\) 170479. 181257.i 0.685117 0.728433i
\(145\) −406896. −1.60717
\(146\) −2926.89 + 331682.i −0.0113638 + 1.28777i
\(147\) −76132.4 54528.0i −0.290587 0.208126i
\(148\) −417065. 7361.26i −1.56512 0.0276247i
\(149\) −60786.2 + 35094.9i −0.224305 + 0.129503i −0.607942 0.793981i \(-0.708005\pi\)
0.383637 + 0.923484i \(0.374671\pi\)
\(150\) 302048. + 32369.4i 1.09609 + 0.117464i
\(151\) 31118.1 + 17966.1i 0.111064 + 0.0641225i 0.554503 0.832182i \(-0.312908\pi\)
−0.443439 + 0.896304i \(0.646242\pi\)
\(152\) −221586. 5867.29i −0.777916 0.0205982i
\(153\) 275942. + 241760.i 0.952992 + 0.834943i
\(154\) −124033. 219278.i −0.421440 0.745062i
\(155\) −159147. + 275651.i −0.532070 + 0.921573i
\(156\) −34396.3 25565.8i −0.113162 0.0841102i
\(157\) −84404.3 146193.i −0.273285 0.473343i 0.696416 0.717638i \(-0.254777\pi\)
−0.969701 + 0.244295i \(0.921443\pi\)
\(158\) −130491. + 221480.i −0.415850 + 0.705815i
\(159\) 116140. + 256164.i 0.364326 + 0.803572i
\(160\) 216597. + 416576.i 0.668888 + 1.28645i
\(161\) 318028.i 0.966941i
\(162\) 331507. 40994.3i 0.992441 0.122726i
\(163\) 325623.i 0.959943i 0.877284 + 0.479972i \(0.159353\pi\)
−0.877284 + 0.479972i \(0.840647\pi\)
\(164\) 487131. 269897.i 1.41428 0.783590i
\(165\) 223588. + 493154.i 0.639350 + 1.41017i
\(166\) 265660. + 156521.i 0.748267 + 0.440861i
\(167\) 106712. + 184831.i 0.296090 + 0.512843i 0.975238 0.221158i \(-0.0709838\pi\)
−0.679148 + 0.734002i \(0.737650\pi\)
\(168\) 36387.9 290980.i 0.0994682 0.795408i
\(169\) 181956. 315157.i 0.490060 0.848809i
\(170\) −602531. + 340818.i −1.59903 + 0.904482i
\(171\) −223812. 196088.i −0.585319 0.512814i
\(172\) 182234. + 109546.i 0.469686 + 0.282341i
\(173\) −27550.4 15906.2i −0.0699862 0.0404066i 0.464599 0.885521i \(-0.346199\pi\)
−0.534585 + 0.845115i \(0.679532\pi\)
\(174\) 47169.4 440151.i 0.118110 1.10212i
\(175\) 310037. 179000.i 0.765276 0.441832i
\(176\) −232688. + 372056.i −0.566230 + 0.905371i
\(177\) −373515. 267521.i −0.896138 0.641838i
\(178\) 256463. + 2263.13i 0.606702 + 0.00535378i
\(179\) 475398. 1.10898 0.554491 0.832189i \(-0.312913\pi\)
0.554491 + 0.832189i \(0.312913\pi\)
\(180\) −133556. + 615971.i −0.307244 + 1.41703i
\(181\) 4695.48 0.0106533 0.00532664 0.999986i \(-0.498304\pi\)
0.00532664 + 0.999986i \(0.498304\pi\)
\(182\) −50504.6 445.673i −0.113019 0.000997327i
\(183\) −36547.6 + 371989.i −0.0806735 + 0.821113i
\(184\) −486914. + 264188.i −1.06025 + 0.575267i
\(185\) 915021. 528288.i 1.96563 1.13486i
\(186\) −279730. 204109.i −0.592867 0.432593i
\(187\) −560310. 323495.i −1.17172 0.676493i
\(188\) 331986. 552273.i 0.685054 1.13962i
\(189\) 287120. 269305.i 0.584667 0.548391i
\(190\) 488702. 276431.i 0.982110 0.555525i
\(191\) 302770. 524412.i 0.600522 1.04013i −0.392220 0.919871i \(-0.628293\pi\)
0.992742 0.120263i \(-0.0383738\pi\)
\(192\) −475731. + 186008.i −0.931341 + 0.364149i
\(193\) 46694.6 + 80877.5i 0.0902347 + 0.156291i 0.907610 0.419815i \(-0.137905\pi\)
−0.817375 + 0.576106i \(0.804572\pi\)
\(194\) 407647. + 240176.i 0.777642 + 0.458168i
\(195\) 108035. + 10614.3i 0.203460 + 0.0199897i
\(196\) 93164.7 + 168151.i 0.173225 + 0.312650i
\(197\) 466419.i 0.856270i 0.903715 + 0.428135i \(0.140829\pi\)
−0.903715 + 0.428135i \(0.859171\pi\)
\(198\) −559379. + 184693.i −1.01401 + 0.334801i
\(199\) 625885.i 1.12037i −0.828367 0.560185i \(-0.810730\pi\)
0.828367 0.560185i \(-0.189270\pi\)
\(200\) −531607. 325983.i −0.939757 0.576262i
\(201\) −3654.37 + 5102.25i −0.00638002 + 0.00890783i
\(202\) −357018. + 605960.i −0.615618 + 1.04488i
\(203\) −260842. 451792.i −0.444261 0.769482i
\(204\) −298824. 691285.i −0.502737 1.16300i
\(205\) −705309. + 1.22163e6i −1.17218 + 2.03028i
\(206\) 186181. + 329148.i 0.305679 + 0.540409i
\(207\) −729427. 144728.i −1.18319 0.234761i
\(208\) 41272.3 + 77695.0i 0.0661455 + 0.124519i
\(209\) 454457. + 262381.i 0.719660 + 0.415496i
\(210\) 300733. + 679182.i 0.470580 + 1.06277i
\(211\) 756200. 436592.i 1.16931 0.675103i 0.215794 0.976439i \(-0.430766\pi\)
0.953518 + 0.301336i \(0.0974326\pi\)
\(212\) 10189.2 577285.i 0.0155704 0.882167i
\(213\) −520272. + 235883.i −0.785744 + 0.356243i
\(214\) −7189.87 + 814772.i −0.0107321 + 1.21619i
\(215\) −538572. −0.794599
\(216\) −650831. 215878.i −0.949148 0.314829i
\(217\) −408088. −0.588307
\(218\) 6881.20 779793.i 0.00980670 1.11132i
\(219\) 832478. 377432.i 1.17290 0.531775i
\(220\) 19615.7 1.11136e6i 0.0273242 1.54810i
\(221\) −112332. + 64854.8i −0.154711 + 0.0893226i
\(222\) 465391. + 1.05105e6i 0.633775 + 1.43133i
\(223\) −419169. 242007.i −0.564452 0.325886i 0.190479 0.981691i \(-0.438996\pi\)
−0.754930 + 0.655805i \(0.772329\pi\)
\(224\) −323689. + 507544.i −0.431031 + 0.675856i
\(225\) −269462. 792558.i −0.354847 1.04370i
\(226\) −79424.2 140414.i −0.103438 0.182868i
\(227\) 117910. 204225.i 0.151874 0.263054i −0.780042 0.625727i \(-0.784802\pi\)
0.931917 + 0.362673i \(0.118136\pi\)
\(228\) 242371. + 560689.i 0.308776 + 0.714307i
\(229\) 124091. + 214932.i 0.156369 + 0.270840i 0.933557 0.358429i \(-0.116688\pi\)
−0.777187 + 0.629269i \(0.783354\pi\)
\(230\) 712288. 1.20895e6i 0.887842 1.50692i
\(231\) −404236. + 564397.i −0.498432 + 0.695913i
\(232\) −475030. + 774669.i −0.579430 + 0.944923i
\(233\) 340275.i 0.410620i −0.978697 0.205310i \(-0.934180\pi\)
0.978697 0.205310i \(-0.0658202\pi\)
\(234\) −24005.8 + 115634.i −0.0286601 + 0.138053i
\(235\) 1.63218e6i 1.92797i
\(236\) 457078. + 824969.i 0.534207 + 0.964179i
\(237\) 704986. + 69264.2i 0.815285 + 0.0801010i
\(238\) −764679. 450531.i −0.875057 0.515563i
\(239\) 303908. + 526384.i 0.344149 + 0.596084i 0.985199 0.171415i \(-0.0548340\pi\)
−0.641049 + 0.767500i \(0.721501\pi\)
\(240\) 790035. 1.02464e6i 0.885357 1.14827i
\(241\) 756653. 1.31056e6i 0.839179 1.45350i −0.0514039 0.998678i \(-0.516370\pi\)
0.890582 0.454822i \(-0.150297\pi\)
\(242\) 111265. 62936.1i 0.122129 0.0690815i
\(243\) −487015. 781092.i −0.529087 0.848568i
\(244\) 395315. 657624.i 0.425078 0.707137i
\(245\) −421690. 243463.i −0.448826 0.259130i
\(246\) −1.23971e6 904572.i −1.30612 0.953027i
\(247\) 91110.3 52602.6i 0.0950223 0.0548611i
\(248\) 339002. + 624800.i 0.350004 + 0.645077i
\(249\) 83081.0 845616.i 0.0849187 0.864321i
\(250\) 146678. + 1294.34i 0.148428 + 0.00130978i
\(251\) −1.13311e6 −1.13524 −0.567622 0.823289i \(-0.692136\pi\)
−0.567622 + 0.823289i \(0.692136\pi\)
\(252\) −769554. + 246578.i −0.763374 + 0.244598i
\(253\) 1.31146e6 1.28811
\(254\) −421647. 3720.78i −0.410077 0.00361868i
\(255\) 1.55085e6 + 1.11076e6i 1.49355 + 1.06972i
\(256\) 1.04596e6 + 73961.0i 0.997509 + 0.0705347i
\(257\) −928992. + 536354.i −0.877362 + 0.506545i −0.869788 0.493426i \(-0.835744\pi\)
−0.00757446 + 0.999971i \(0.502411\pi\)
\(258\) 62434.0 582590.i 0.0583945 0.544896i
\(259\) 1.17316e6 + 677323.i 1.08669 + 0.627403i
\(260\) −190991. 114810.i −0.175218 0.105328i
\(261\) −1.15493e6 + 392665.i −1.04943 + 0.356797i
\(262\) −659446. + 373012.i −0.593507 + 0.335714i
\(263\) 341490. 591477.i 0.304430 0.527289i −0.672704 0.739912i \(-0.734867\pi\)
0.977134 + 0.212623i \(0.0682006\pi\)
\(264\) 1.19992e6 + 150054.i 1.05960 + 0.132506i
\(265\) 731236. + 1.26654e6i 0.639651 + 1.10791i
\(266\) 620218. + 365418.i 0.537452 + 0.316654i
\(267\) −291838. 643690.i −0.250533 0.552584i
\(268\) 11269.2 6243.72i 0.00958417 0.00531015i
\(269\) 931829.i 0.785155i 0.919719 + 0.392577i \(0.128417\pi\)
−0.919719 + 0.392577i \(0.871583\pi\)
\(270\) 1.69463e6 380679.i 1.41470 0.317796i
\(271\) 1.76382e6i 1.45892i 0.684023 + 0.729460i \(0.260229\pi\)
−0.684023 + 0.729460i \(0.739771\pi\)
\(272\) −54556.6 + 1.54502e6i −0.0447121 + 1.26622i
\(273\) 57470.9 + 126760.i 0.0466704 + 0.102938i
\(274\) 474858. 805969.i 0.382109 0.648548i
\(275\) 738145. + 1.27850e6i 0.588586 + 1.01946i
\(276\) 1.22519e6 + 910651.i 0.968124 + 0.719580i
\(277\) 309348. 535806.i 0.242241 0.419573i −0.719111 0.694895i \(-0.755451\pi\)
0.961352 + 0.275321i \(0.0887843\pi\)
\(278\) 338873. + 599092.i 0.262981 + 0.464924i
\(279\) −185712. + 935988.i −0.142834 + 0.719879i
\(280\) 40360.2 1.52425e6i 0.0307651 1.16188i
\(281\) −1.58185e6 913279.i −1.19508 0.689982i −0.235628 0.971843i \(-0.575715\pi\)
−0.959455 + 0.281861i \(0.909048\pi\)
\(282\) −1.76558e6 189211.i −1.32210 0.141685i
\(283\) −1.63561e6 + 944320.i −1.21399 + 0.700895i −0.963625 0.267258i \(-0.913883\pi\)
−0.250361 + 0.968153i \(0.580549\pi\)
\(284\) 1.17247e6 + 20694.3i 0.862596 + 0.0152249i
\(285\) −1.25787e6 900918.i −0.917324 0.657012i
\(286\) 1837.83 208267.i 0.00132859 0.150558i
\(287\) −1.80857e6 −1.29607
\(288\) 1.01680e6 + 973386.i 0.722359 + 0.691518i
\(289\) −859473. −0.605324
\(290\) 20310.7 2.30166e6i 0.0141818 1.60711i
\(291\) 127485. 1.29757e6i 0.0882524 0.898252i
\(292\) −1.87606e6 33112.7i −1.28762 0.0227267i
\(293\) −965146. + 557227.i −0.656786 + 0.379196i −0.791051 0.611750i \(-0.790466\pi\)
0.134265 + 0.990945i \(0.457133\pi\)
\(294\) 312245. 427931.i 0.210682 0.288739i
\(295\) −2.06886e6 1.19446e6i −1.38413 0.799128i
\(296\) 62458.3 2.35881e6i 0.0414344 1.56482i
\(297\) 1.11054e6 + 1.18400e6i 0.730538 + 0.778863i
\(298\) −195485. 345597.i −0.127518 0.225439i
\(299\) 131461. 227698.i 0.0850394 0.147293i
\(300\) −198179. + 1.70696e6i −0.127132 + 1.09502i
\(301\) −345254. 597998.i −0.219646 0.380438i
\(302\) −103181. + 175127.i −0.0651001 + 0.110493i
\(303\) 1.92882e6 + 189504.i 1.20694 + 0.118580i
\(304\) 44249.9 1.25314e6i 0.0274618 0.777704i
\(305\) 1.94354e6i 1.19631i
\(306\) −1.38132e6 + 1.54884e6i −0.843319 + 0.945588i
\(307\) 1.64394e6i 0.995497i −0.867321 0.497749i \(-0.834160\pi\)
0.867321 0.497749i \(-0.165840\pi\)
\(308\) 1.24656e6 690664.i 0.748752 0.414849i
\(309\) 606781. 847192.i 0.361523 0.504761i
\(310\) −1.55131e6 913995.i −0.916842 0.540182i
\(311\) −363235. 629141.i −0.212954 0.368848i 0.739683 0.672955i \(-0.234975\pi\)
−0.952638 + 0.304107i \(0.901642\pi\)
\(312\) 146334. 193291.i 0.0851055 0.112415i
\(313\) 702457. 1.21669e6i 0.405284 0.701972i −0.589071 0.808081i \(-0.700506\pi\)
0.994354 + 0.106110i \(0.0338394\pi\)
\(314\) 831171. 470147.i 0.475736 0.269097i
\(315\) 1.34886e6 1.53957e6i 0.765931 0.874224i
\(316\) −1.24632e6 749193.i −0.702118 0.422062i
\(317\) 1.21701e6 + 702639.i 0.680213 + 0.392721i 0.799935 0.600086i \(-0.204867\pi\)
−0.119722 + 0.992807i \(0.538200\pi\)
\(318\) −1.45482e6 + 644177.i −0.806755 + 0.357221i
\(319\) 1.86306e6 1.07564e6i 1.02506 0.591821i
\(320\) −2.36723e6 + 1.20442e6i −1.29230 + 0.657510i
\(321\) 2.04497e6 927157.i 1.10771 0.502216i
\(322\) 1.79897e6 + 15874.8i 0.966904 + 0.00853234i
\(323\) 1.84873e6 0.985976
\(324\) 215342. + 1.87726e6i 0.113964 + 0.993485i
\(325\) 295969. 0.155431
\(326\) −1.84193e6 16253.9i −0.959906 0.00847059i
\(327\) −1.95718e6 + 887352.i −1.01219 + 0.458909i
\(328\) 1.50239e6 + 2.76900e6i 0.771080 + 1.42114i
\(329\) −1.81228e6 + 1.04632e6i −0.923071 + 0.532935i
\(330\) −2.80075e6 + 1.24014e6i −1.41576 + 0.626882i
\(331\) −214028. 123569.i −0.107374 0.0619926i 0.445351 0.895356i \(-0.353079\pi\)
−0.552725 + 0.833363i \(0.686412\pi\)
\(332\) −898642. + 1.49493e6i −0.447447 + 0.744347i
\(333\) 2.08738e6 2.38251e6i 1.03155 1.17740i
\(334\) −1.05085e6 + 594407.i −0.515436 + 0.291553i
\(335\) −16316.4 + 28260.9i −0.00794352 + 0.0137586i
\(336\) 1.64415e6 + 220358.i 0.794500 + 0.106483i
\(337\) 1.07901e6 + 1.86890e6i 0.517549 + 0.896421i 0.999792 + 0.0203835i \(0.00648871\pi\)
−0.482244 + 0.876037i \(0.660178\pi\)
\(338\) 1.77364e6 + 1.04499e6i 0.844451 + 0.497531i
\(339\) −258851. + 361410.i −0.122335 + 0.170805i
\(340\) −1.89781e6 3.42531e6i −0.890337 1.60695i
\(341\) 1.68284e6i 0.783712i
\(342\) 1.12037e6 1.25623e6i 0.517959 0.580772i
\(343\) 2.37090e6i 1.08812i
\(344\) −628755. + 1.02536e6i −0.286474 + 0.467177i
\(345\) −3.84819e6 378081.i −1.74064 0.171016i
\(346\) 91350.9 155048.i 0.0410225 0.0696269i
\(347\) −804114. 1.39277e6i −0.358504 0.620947i 0.629207 0.777237i \(-0.283380\pi\)
−0.987711 + 0.156291i \(0.950046\pi\)
\(348\) 2.48742e6 + 288791.i 1.10103 + 0.127831i
\(349\) 233867. 405070.i 0.102779 0.178019i −0.810049 0.586362i \(-0.800560\pi\)
0.912829 + 0.408343i \(0.133893\pi\)
\(350\) 997061. + 1.76270e6i 0.435062 + 0.769145i
\(351\) 316890. 74129.1i 0.137291 0.0321160i
\(352\) −2.09297e6 1.33480e6i −0.900339 0.574197i
\(353\) 397710. + 229618.i 0.169875 + 0.0980773i 0.582527 0.812811i \(-0.302064\pi\)
−0.412652 + 0.910889i \(0.635397\pi\)
\(354\) 1.53192e6 2.09948e6i 0.649720 0.890440i
\(355\) −2.57236e6 + 1.48515e6i −1.08333 + 0.625460i
\(356\) −25603.4 + 1.45061e6i −0.0107071 + 0.606631i
\(357\) −239141. + 2.43403e6i −0.0993078 + 1.01078i
\(358\) −23730.1 + 2.68915e6i −0.00978572 + 1.10894i
\(359\) 2.21493e6 0.907037 0.453518 0.891247i \(-0.350169\pi\)
0.453518 + 0.891247i \(0.350169\pi\)
\(360\) −3.47765e6 786227.i −1.41426 0.319736i
\(361\) 976629. 0.394423
\(362\) −234.381 + 26560.6i −9.40050e−5 + 0.0106529i
\(363\) −286383. 205115.i −0.114073 0.0817018i
\(364\) 5042.01 285664.i 0.00199458 0.113006i
\(365\) 4.11598e6 2.37636e6i 1.61712 0.933643i
\(366\) −2.10238e6 225305.i −0.820369 0.0879159i
\(367\) 2.54558e6 + 1.46969e6i 0.986555 + 0.569588i 0.904243 0.427019i \(-0.140436\pi\)
0.0823124 + 0.996607i \(0.473769\pi\)
\(368\) −1.47011e6 2.76748e6i −0.565889 1.06528i
\(369\) −823043. + 4.14812e6i −0.314671 + 1.58594i
\(370\) 2.94266e6 + 5.20231e6i 1.11747 + 1.97557i
\(371\) −937525. + 1.62384e6i −0.353629 + 0.612504i
\(372\) 1.16853e6 1.57214e6i 0.437807 0.589027i
\(373\) −830424. 1.43834e6i −0.309049 0.535289i 0.669105 0.743168i \(-0.266678\pi\)
−0.978155 + 0.207878i \(0.933344\pi\)
\(374\) 1.85786e6 3.15332e6i 0.686806 1.16571i
\(375\) −166910. 368143.i −0.0612920 0.135188i
\(376\) 3.10744e6 + 1.90549e6i 1.13353 + 0.695083i
\(377\) 431292.i 0.156285i
\(378\) 1.50903e6 + 1.63757e6i 0.543211 + 0.589483i
\(379\) 4.69152e6i 1.67770i 0.544360 + 0.838852i \(0.316773\pi\)
−0.544360 + 0.838852i \(0.683227\pi\)
\(380\) 1.53928e6 + 2.77821e6i 0.546837 + 0.986974i
\(381\) 479807. + 1.05828e6i 0.169338 + 0.373498i
\(382\) 2.95129e6 + 1.73883e6i 1.03479 + 0.609677i
\(383\) −2.64821e6 4.58683e6i −0.922476 1.59777i −0.795571 0.605860i \(-0.792829\pi\)
−0.126904 0.991915i \(1.45950\pi\)
\(384\) −1.02843e6 2.70032e6i −0.355917 0.934518i
\(385\) −1.80488e6 + 3.12614e6i −0.620578 + 1.07487i
\(386\) −459825. + 260097.i −0.157081 + 0.0888521i
\(387\) −1.52868e6 + 519737.i −0.518848 + 0.176403i
\(388\) −1.37894e6 + 2.29392e6i −0.465013 + 0.773569i
\(389\) −1.59537e6 921088.i −0.534549 0.308622i 0.208318 0.978061i \(-0.433201\pi\)
−0.742867 + 0.669439i \(0.766535\pi\)
\(390\) −65434.2 + 610585.i −0.0217843 + 0.203275i
\(391\) 4.00124e6 2.31011e6i 1.32359 0.764173i
\(392\) −955818. + 518605.i −0.314167 + 0.170460i
\(393\) 1.69734e6 + 1.21568e6i 0.554356 + 0.397044i
\(394\) −2.63836e6 23281.9i −0.856236 0.00755576i
\(395\) 3.68335e6 1.18782
\(396\) −1.01682e6 3.17342e6i −0.325841 1.01693i
\(397\) 75711.5 0.0241094 0.0120547 0.999927i \(-0.496163\pi\)
0.0120547 + 0.999927i \(0.496163\pi\)
\(398\) 3.54040e6 + 31241.9i 1.12033 + 0.00988620i
\(399\) 193963. 1.97420e6i 0.0609939 0.620810i
\(400\) 1.87050e6 2.99083e6i 0.584532 0.934636i
\(401\) 2.92456e6 1.68849e6i 0.908237 0.524371i 0.0283735 0.999597i \(-0.490967\pi\)
0.879863 + 0.475227i \(0.157634\pi\)
\(402\) −28679.2 20926.1i −0.00885118 0.00645838i
\(403\) −292178. 168689.i −0.0896158 0.0517397i
\(404\) −3.40988e6 2.04977e6i −1.03941 0.624814i
\(405\) −2.91731e6 3.79436e6i −0.883781 1.14948i
\(406\) 2.56864e6 1.45294e6i 0.773373 0.437454i
\(407\) −2.79309e6 + 4.83777e6i −0.835793 + 1.44764i
\(408\) 3.92526e6 1.65583e6i 1.16740 0.492455i
\(409\) −1.75008e6 3.03123e6i −0.517310 0.896007i −0.999798 0.0201041i \(-0.993600\pi\)
0.482488 0.875902i \(-0.339733\pi\)
\(410\) −6.87512e6 4.05066e6i −2.01986 1.19005i
\(411\) −2.56546e6 252054.i −0.749136 0.0736018i
\(412\) −1.87116e6 + 1.03673e6i −0.543086 + 0.300899i
\(413\) 3.06285e6i 0.883591i
\(414\) 855083. 4.11887e6i 0.245193 1.18108i
\(415\) 4.41810e6i 1.25926i
\(416\) −441552. + 229584.i −0.125098 + 0.0650442i
\(417\) 1.10442e6 1.54200e6i 0.311024 0.434254i
\(418\) −1.50688e6 + 2.55760e6i −0.421830 + 0.715966i
\(419\) 2.65830e6 + 4.60430e6i 0.739721 + 1.28123i 0.952621 + 0.304161i \(0.0983760\pi\)
−0.212899 + 0.977074i \(0.568291\pi\)
\(420\) −3.85689e6 + 1.66724e6i −1.06688 + 0.461184i
\(421\) −2.59023e6 + 4.48640e6i −0.712250 + 1.23365i 0.251761 + 0.967790i \(0.418990\pi\)
−0.964011 + 0.265864i \(0.914343\pi\)
\(422\) 2.43190e6 + 4.29934e6i 0.664758 + 1.17522i
\(423\) 1.57510e6 + 4.63279e6i 0.428014 + 1.25890i
\(424\) 3.26498e6 + 86452.4i 0.881995 + 0.0233541i
\(425\) 4.50414e6 + 2.60047e6i 1.20959 + 0.698360i
\(426\) −1.30833e6 2.95476e6i −0.349296 0.788857i
\(427\) −2.15799e6 + 1.24591e6i −0.572768 + 0.330688i
\(428\) −4.60851e6 81340.9i −1.21605 0.0214635i
\(429\) −522723. + 236994.i −0.137129 + 0.0621719i
\(430\) 26883.6 3.04651e6i 0.00701158 0.794568i
\(431\) −5.72244e6 −1.48384 −0.741922 0.670486i \(-0.766086\pi\)
−0.741922 + 0.670486i \(0.766086\pi\)
\(432\) 1.25363e6 3.67074e6i 0.323192 0.946333i
\(433\) −6.17405e6 −1.58252 −0.791262 0.611478i \(-0.790575\pi\)
−0.791262 + 0.611478i \(0.790575\pi\)
\(434\) 20370.2 2.30840e6i 0.00519125 0.588284i
\(435\) −5.77687e6 + 2.61914e6i −1.46376 + 0.663644i
\(436\) 4.41066e6 + 77848.8i 1.11119 + 0.0196126i
\(437\) −3.24533e6 + 1.87369e6i −0.812935 + 0.469348i
\(438\) 2.09344e6 + 4.72786e6i 0.521405 + 1.17755i
\(439\) 5.02340e6 + 2.90026e6i 1.24405 + 0.718251i 0.969915 0.243442i \(-0.0782765\pi\)
0.274131 + 0.961692i \(0.411610\pi\)
\(440\) 6.28559e6 + 166434.i 1.54780 + 0.0409837i
\(441\) −1.43187e6 284103.i −0.350597 0.0695631i
\(442\) −361252. 638657.i −0.0879539 0.155493i
\(443\) 2.08981e6 3.61966e6i 0.505939 0.876312i −0.494037 0.869441i \(-0.664479\pi\)
0.999976 0.00687158i \(-0.00218731\pi\)
\(444\) −5.96862e6 + 2.58008e6i −1.43687 + 0.621121i
\(445\) −1.83746e6 3.18257e6i −0.439863 0.761864i
\(446\) 1.38987e6 2.35900e6i 0.330854 0.561554i
\(447\) −637105. + 889530.i −0.150814 + 0.210568i
\(448\) −2.85484e6 1.85633e6i −0.672026 0.436978i
\(449\) 970936.i 0.227287i −0.993522 0.113644i \(-0.963748\pi\)
0.993522 0.113644i \(-0.0362522\pi\)
\(450\) 4.49666e6 1.48468e6i 1.04679 0.345623i
\(451\) 7.45802e6i 1.72656i
\(452\) 798233. 442265.i 0.183774 0.101821i
\(453\) 557443. + 54768.2i 0.127631 + 0.0125396i
\(454\) 1.14934e6 + 677166.i 0.261704 + 0.154190i
\(455\) 361845. + 626734.i 0.0819397 + 0.141924i
\(456\) −3.18371e6 + 1.34302e6i −0.717004 + 0.302461i
\(457\) −1.03810e6 + 1.79803e6i −0.232513 + 0.402724i −0.958547 0.284935i \(-0.908028\pi\)
0.726034 + 0.687659i \(0.241361\pi\)
\(458\) −1.22199e6 + 691209.i −0.272209 + 0.153973i
\(459\) 5.47385e6 + 1.65617e6i 1.21272 + 0.366921i
\(460\) 6.80306e6 + 4.08950e6i 1.49903 + 0.901105i
\(461\) 2.52767e6 + 1.45935e6i 0.553947 + 0.319821i 0.750712 0.660629i \(-0.229710\pi\)
−0.196766 + 0.980451i \(0.563044\pi\)
\(462\) −3.17241e6 2.31479e6i −0.691488 0.504553i
\(463\) −5.02987e6 + 2.90400e6i −1.09045 + 0.629569i −0.933695 0.358069i \(-0.883435\pi\)
−0.156751 + 0.987638i \(0.550102\pi\)
\(464\) −4.35831e6 2.72574e6i −0.939773 0.587745i
\(465\) −485147. + 4.93793e6i −0.104050 + 1.05904i
\(466\) 1.92481e6 + 16985.3i 0.410604 + 0.00362333i
\(467\) 8.31962e6 1.76527 0.882636 0.470058i \(-0.155767\pi\)
0.882636 + 0.470058i \(0.155767\pi\)
\(468\) −652903. 141564.i −0.137795 0.0298771i
\(469\) −41838.9 −0.00878311
\(470\) −9.23266e6 81472.6i −1.92789 0.0170125i
\(471\) −2.13935e6 1.53226e6i −0.444354 0.318258i
\(472\) −4.68936e6 + 2.54434e6i −0.968856 + 0.525679i
\(473\) 2.46598e6 1.42373e6i 0.506799 0.292601i
\(474\) −426992. + 3.98439e6i −0.0872920 + 0.814547i
\(475\) −3.65323e6 2.10919e6i −0.742922 0.428926i
\(476\) 2.58666e6 4.30302e6i 0.523265 0.870474i
\(477\) 3.29779e6 + 2.88928e6i 0.663631 + 0.581425i
\(478\) −2.99273e6 + 1.69282e6i −0.599098 + 0.338876i
\(479\) −57304.6 + 99254.5i −0.0114117 + 0.0197657i −0.871675 0.490085i \(-0.836966\pi\)
0.860263 + 0.509850i \(0.170299\pi\)
\(480\) 5.75657e6 + 4.52009e6i 1.14041 + 0.895455i
\(481\) 559963. + 969884.i 0.110356 + 0.191142i
\(482\) 7.37560e6 + 4.34553e6i 1.44604 + 0.851972i
\(483\) −2.04710e6 4.51517e6i −0.399275 0.880656i
\(484\) 350453. + 632524.i 0.0680011 + 0.122734i
\(485\) 6.77943e6i 1.30870i
\(486\) 4.44266e6 2.71588e6i 0.853203 0.521578i
\(487\) 2.72517e6i 0.520681i −0.965517 0.260340i \(-0.916165\pi\)
0.965517 0.260340i \(-0.0838348\pi\)
\(488\) 3.70021e6 + 2.26898e6i 0.703358 + 0.431302i
\(489\) 2.09599e6 + 4.62300e6i 0.396385 + 0.874283i
\(490\) 1.39823e6 2.37319e6i 0.263080 0.446522i
\(491\) 2.94851e6 + 5.10696e6i 0.551948 + 0.956002i 0.998134 + 0.0610621i \(0.0194488\pi\)
−0.446186 + 0.894940i \(0.647218\pi\)
\(492\) 5.17871e6 6.96745e6i 0.964515 1.29766i
\(493\) 3.78946e6 6.56353e6i 0.702198 1.21624i
\(494\) 293006. + 518004.i 0.0540205 + 0.0955027i
\(495\) 6.34874e6 + 5.56231e6i 1.16459 + 1.02033i
\(496\) −3.55119e6 + 1.88642e6i −0.648141 + 0.344298i
\(497\) −3.29804e6 1.90413e6i −0.598915 0.345784i
\(498\) 4.77919e6 + 512169.i 0.863538 + 0.0925422i
\(499\) −6.34312e6 + 3.66220e6i −1.14039 + 0.658402i −0.946526 0.322627i \(-0.895434\pi\)
−0.193860 + 0.981029i \(0.562101\pi\)
\(500\) −14643.3 + 829640.i −0.00261947 + 0.148410i
\(501\) 2.70478e6 + 1.93723e6i 0.481435 + 0.344816i
\(502\) 56560.9 6.40961e6i 0.0100174 1.13520i
\(503\) −5.80816e6 −1.02357 −0.511786 0.859113i \(-0.671016\pi\)
−0.511786 + 0.859113i \(0.671016\pi\)
\(504\) −1.35639e6 4.36539e6i −0.237852 0.765503i
\(505\) 1.00775e7 1.75843
\(506\) −65463.1 + 7.41843e6i −0.0113663 + 1.28806i
\(507\) 554678. 5.64564e6i 0.0958344 0.975423i
\(508\) 42094.2 2.38492e6i 0.00723707 0.410029i
\(509\) −3.70500e6 + 2.13908e6i −0.633861 + 0.365960i −0.782246 0.622970i \(-0.785926\pi\)
0.148385 + 0.988930i \(0.452593\pi\)
\(510\) −6.36058e6 + 8.71715e6i −1.08286 + 1.48405i
\(511\) 5.27714e6 + 3.04676e6i 0.894018 + 0.516162i
\(512\) −470581. + 5.91295e6i −0.0793340 + 0.996848i
\(513\) −4.43974e6 1.34329e6i −0.744843 0.225360i
\(514\) −2.98758e6 5.28174e6i −0.498784 0.881798i
\(515\) 2.70922e6 4.69251e6i 0.450119 0.779628i
\(516\) 3.29238e6 + 382247.i 0.544360 + 0.0632004i
\(517\) −4.31472e6 7.47332e6i −0.709948 1.22967i
\(518\) −3.88993e6 + 6.60231e6i −0.636967 + 1.08111i
\(519\) −493531. 48488.9i −0.0804259 0.00790176i
\(520\) 658969. 1.07463e6i 0.106870 0.174282i
\(521\) 6.07298e6i 0.980184i 0.871671 + 0.490092i \(0.163037\pi\)
−0.871671 + 0.490092i \(0.836963\pi\)
\(522\) −2.16351e6 6.55263e6i −0.347523 1.05254i
\(523\) 525817.i 0.0840583i 0.999116 + 0.0420291i \(0.0133822\pi\)
−0.999116 + 0.0420291i \(0.986618\pi\)
\(524\) −2.07707e6 3.74886e6i −0.330464 0.596446i
\(525\) 3.24952e6 4.53700e6i 0.514543 0.718408i
\(526\) 3.32872e6 + 1.96121e6i 0.524582 + 0.309071i
\(527\) −2.96430e6 5.13432e6i −0.464939 0.805297i
\(528\) −908694. + 6.78002e6i −0.141851 + 1.05839i
\(529\) −1.46446e6 + 2.53652e6i −0.227530 + 0.394093i
\(530\) −7.20085e6 + 4.07312e6i −1.11351 + 0.629850i
\(531\) −7.02495e6 1.39384e6i −1.08120 0.214525i
\(532\) −2.09799e6 + 3.49010e6i −0.321384 + 0.534637i
\(533\) −1.29488e6 747598.i −0.197429 0.113986i
\(534\) 3.65569e6 1.61869e6i 0.554773 0.245647i
\(535\) 1.01109e7 5.83751e6i 1.52723 0.881746i
\(536\) 34756.0 + 64057.2i 0.00522537 + 0.00963066i
\(537\) 6.74942e6 3.06008e6i 1.01002 0.457928i
\(538\) −5.27101e6 46513.5i −0.785124 0.00692825i
\(539\) 2.57440e6 0.381685
\(540\) 2.06877e6 + 9.60488e6i 0.305301 + 1.41745i
\(541\) 1.11917e7 1.64400 0.822000 0.569488i \(-0.192858\pi\)
0.822000 + 0.569488i \(0.192858\pi\)
\(542\) −9.97730e6 88043.6i −1.45886 0.0128736i
\(543\) 66663.6 30224.2i 0.00970263 0.00439901i
\(544\) −8.73687e6 385728.i −1.26578 0.0558836i
\(545\) −9.67679e6 + 5.58690e6i −1.39553 + 0.805711i
\(546\) −719904. + 318765.i −0.103346 + 0.0457602i
\(547\) 776917. + 448553.i 0.111021 + 0.0640982i 0.554482 0.832195i \(-0.312916\pi\)
−0.443461 + 0.896294i \(0.646250\pi\)
\(548\) 4.53537e6 + 2.72633e6i 0.645151 + 0.387817i
\(549\) 1.87557e6 + 5.51654e6i 0.265584 + 0.781152i
\(550\) −7.26888e6 + 4.11160e6i −1.02461 + 0.579567i
\(551\) −3.07356e6 + 5.32357e6i −0.431284 + 0.747006i
\(552\) −5.21238e6 + 6.88500e6i −0.728095 + 0.961737i
\(553\) 2.36123e6 + 4.08977e6i 0.328341 + 0.568704i
\(554\) 3.01542e6 + 1.77661e6i 0.417420 + 0.245934i
\(555\) 9.59042e6 1.33902e7i 1.32162 1.84525i
\(556\) −3.40576e6 + 1.88698e6i −0.467226 + 0.258869i
\(557\) 2.91603e6i 0.398249i 0.979974 + 0.199124i \(0.0638098\pi\)
−0.979974 + 0.199124i \(0.936190\pi\)
\(558\) −5.28527e6 1.09723e6i −0.718591 0.149180i
\(559\) 570864.i 0.0772686i
\(560\) 8.62013e6 + 304388.i 1.16157 + 0.0410164i
\(561\) −1.00372e7 986149.i −1.34650 0.132293i
\(562\) 5.24504e6 8.90233e6i 0.700500 1.18895i
\(563\) −1.88482e6 3.26460e6i −0.250610 0.434070i 0.713084 0.701079i \(-0.247298\pi\)
−0.963694 + 0.267009i \(0.913965\pi\)
\(564\) 1.15843e6 9.97780e6i 0.153346 1.32080i
\(565\) −1.15575e6 + 2.00182e6i −0.152315 + 0.263817i
\(566\) −5.26003e6 9.29918e6i −0.690156 1.22012i
\(567\) 2.34287e6 5.67160e6i 0.306049 0.740880i
\(568\) −175586. + 6.63122e6i −0.0228359 + 0.862428i
\(569\) −578222. 333836.i −0.0748710 0.0432268i 0.462097 0.886829i \(-0.347097\pi\)
−0.536968 + 0.843603i \(0.680430\pi\)
\(570\) 5.15895e6 7.07033e6i 0.665081 0.911491i
\(571\) −5.54218e6 + 3.19978e6i −0.711361 + 0.410704i −0.811565 0.584262i \(-0.801384\pi\)
0.100204 + 0.994967i \(0.468051\pi\)
\(572\) 1.17800e6 + 20791.8i 0.150541 + 0.00265707i
\(573\) 922970. 9.39419e6i 0.117436 1.19529i
\(574\) 90277.1 1.02304e7i 0.0114366 1.29602i
\(575\) −1.05424e7 −1.32974
\(576\) −5.55684e6 + 5.70306e6i −0.697866 + 0.716229i
\(577\) −8.64788e6 −1.08136 −0.540680 0.841229i \(-0.681833\pi\)
−0.540680 + 0.841229i \(0.681833\pi\)
\(578\) 42901.8 4.86173e6i 0.00534141 0.605300i
\(579\) 1.18354e6 + 847684.i 0.146719 + 0.105084i
\(580\) 1.30186e7 + 229781.i 1.60692 + 0.0283625i
\(581\) 4.90560e6 2.83225e6i 0.602908 0.348089i
\(582\) 7.33352e6 + 785906.i 0.897439 + 0.0961752i
\(583\) −6.69626e6 3.86609e6i −0.815945 0.471086i
\(584\) 280952. 1.06105e7i 0.0340879 1.28737i
\(585\) 1.60214e6 544712.i 0.193558 0.0658078i
\(586\) −3.10385e6 5.48729e6i −0.373385 0.660107i
\(587\) −358200. + 620420.i −0.0429072 + 0.0743175i −0.886681 0.462381i \(-0.846995\pi\)
0.843774 + 0.536698i \(0.180329\pi\)
\(588\) 2.40506e6 + 1.78762e6i 0.286869 + 0.213222i
\(589\) 2.40429e6 + 4.16436e6i 0.285561 + 0.494606i
\(590\) 6.85989e6 1.16432e7i 0.811310 1.37702i
\(591\) 3.00228e6 + 6.62194e6i 0.353576 + 0.779860i
\(592\) 1.33398e7 + 471047.i 1.56439 + 0.0552408i
\(593\) 6.55369e6i 0.765331i 0.923887 + 0.382665i \(0.124994\pi\)
−0.923887 + 0.382665i \(0.875006\pi\)
\(594\) −6.75289e6 + 6.22282e6i −0.785279 + 0.723637i
\(595\) 1.27171e7i 1.47264i
\(596\) 1.96467e6 1.08854e6i 0.226556 0.125524i
\(597\) −4.02874e6 8.88594e6i −0.462630 1.02039i
\(598\) 1.28144e6 + 754995.i 0.146536 + 0.0863358i
\(599\) −1.04139e6 1.80373e6i −0.118589 0.205402i 0.800620 0.599173i \(-0.204504\pi\)
−0.919209 + 0.393771i \(0.871170\pi\)
\(600\) −9.64576e6 1.20623e6i −1.09385 0.136789i
\(601\) 392578. 679965.i 0.0443343 0.0767893i −0.843007 0.537903i \(-0.819217\pi\)
0.887341 + 0.461114i \(0.152550\pi\)
\(602\) 3.39989e6 1.92313e6i 0.382361 0.216280i
\(603\) −19040.0 + 95961.5i −0.00213243 + 0.0107474i
\(604\) −985480. 592398.i −0.109915 0.0660725i
\(605\) −1.58625e6 915822.i −0.176191 0.101724i
\(606\) −1.16824e6 + 1.09011e7i −0.129226 + 1.20584i
\(607\) −8.67650e6 + 5.00938e6i −0.955812 + 0.551838i −0.894882 0.446304i \(-0.852740\pi\)
−0.0609306 + 0.998142i \(0.519407\pi\)
\(608\) 7.08632e6 + 312857.i 0.777431 + 0.0343232i
\(609\) −6.61142e6 4.73527e6i −0.722356 0.517371i
\(610\) −1.09939e7 97014.3i −1.19626 0.0105563i
\(611\) −1.73005e6 −0.187480
\(612\) −8.69225e6 7.89096e6i −0.938109 0.851631i
\(613\) −4.81550e6 −0.517595 −0.258797 0.965932i \(-0.583326\pi\)
−0.258797 + 0.965932i \(0.583326\pi\)
\(614\) 9.29917e6 + 82059.5i 0.995458 + 0.00878432i
\(615\) −2.15008e6 + 2.18840e7i −0.229228 + 2.33313i
\(616\) 3.84461e6 + 7.08583e6i 0.408226 + 0.752383i
\(617\) 8.76037e6 5.05780e6i 0.926423 0.534871i 0.0407445 0.999170i \(-0.487027\pi\)
0.885678 + 0.464299i \(0.153694\pi\)
\(618\) 4.76197e6 + 3.47463e6i 0.501551 + 0.365963i
\(619\) 1.10769e7 + 6.39527e6i 1.16196 + 0.670860i 0.951774 0.306800i \(-0.0992584\pi\)
0.210190 + 0.977661i \(0.432592\pi\)
\(620\) 5.24757e6 8.72957e6i 0.548251 0.912040i
\(621\) −1.12876e7 + 2.64047e6i −1.17455 + 0.274759i
\(622\) 3.57695e6 2.02328e6i 0.370712 0.209691i
\(623\) 2.35582e6 4.08040e6i 0.243177 0.421195i
\(624\) 1.08607e6 + 837404.i 0.111660 + 0.0860941i
\(625\) 4.33178e6 + 7.50287e6i 0.443575 + 0.768294i
\(626\) 6.84731e6 + 4.03428e6i 0.698368 + 0.411462i
\(627\) 8.14104e6 + 799849.i 0.827010 + 0.0812529i
\(628\) 2.61796e6 + 4.72510e6i 0.264889 + 0.478092i
\(629\) 1.96800e7i 1.98334i
\(630\) 8.64144e6 + 7.70684e6i 0.867431 + 0.773616i
\(631\) 1.13313e7i 1.13294i −0.824082 0.566471i \(-0.808308\pi\)
0.824082 0.566471i \(-0.191692\pi\)
\(632\) 4.30012e6 7.01256e6i 0.428241 0.698367i
\(633\) 7.92580e6 1.10660e7i 0.786201 1.09770i
\(634\) −4.03532e6 + 6.84909e6i −0.398708 + 0.676721i
\(635\) 3.02093e6 + 5.23241e6i 0.297308 + 0.514953i
\(636\) −3.57125e6 8.26154e6i −0.350088 0.809876i
\(637\) 258060. 446974.i 0.0251984 0.0436449i
\(638\) 5.99151e6 + 1.05924e7i 0.582753 + 1.03025i
\(639\) −5.86817e6 + 6.69784e6i −0.568526 + 0.648908i
\(640\) −6.69479e6 1.34507e7i −0.646081 1.29806i
\(641\) −1.30074e7 7.50980e6i −1.25039 0.721910i −0.279200 0.960233i \(-0.590069\pi\)
−0.971186 + 0.238323i \(0.923402\pi\)
\(642\) 5.14251e6 + 1.16139e7i 0.492422 + 1.11210i
\(643\) −2.31540e6 + 1.33680e6i −0.220851 + 0.127508i −0.606344 0.795202i \(-0.707365\pi\)
0.385493 + 0.922711i \(0.374031\pi\)
\(644\) −179596. + 1.01753e7i −0.0170640 + 0.966791i
\(645\) −7.64634e6 + 3.46672e6i −0.723693 + 0.328110i
\(646\) −92281.7 + 1.04576e7i −0.00870030 + 0.985937i
\(647\) 1.55764e7 1.46288 0.731438 0.681908i \(-0.238850\pi\)
0.731438 + 0.681908i \(0.238850\pi\)
\(648\) −1.06297e7 + 1.12440e6i −0.994452 + 0.105193i
\(649\) 1.26303e7 1.17707
\(650\) −14773.7 + 1.67419e6i −0.00137153 + 0.155425i
\(651\) −5.79379e6 + 2.62681e6i −0.535809 + 0.242927i
\(652\) 183885. 1.04183e7i 0.0169405 0.959794i
\(653\) 415132. 239677.i 0.0380981 0.0219959i −0.480830 0.876814i \(-0.659665\pi\)
0.518928 + 0.854818i \(0.326331\pi\)
\(654\) −4.92173e6 1.11153e7i −0.449960 1.01620i
\(655\) 9.40143e6 + 5.42792e6i 0.856230 + 0.494345i
\(656\) −1.57382e7 + 8.36027e6i −1.42789 + 0.758509i
\(657\) 9.38955e6 1.07171e7i 0.848656 0.968644i
\(658\) −5.82818e6 1.03036e7i −0.524769 0.927737i
\(659\) 155358. 269087.i 0.0139354 0.0241368i −0.858974 0.512020i \(-0.828897\pi\)
0.872909 + 0.487883i \(0.162231\pi\)
\(660\) −6.87521e6 1.59047e7i −0.614364 1.42124i
\(661\) 1.04750e7 + 1.81433e7i 0.932505 + 1.61515i 0.779023 + 0.626995i \(0.215715\pi\)
0.153482 + 0.988151i \(0.450951\pi\)
\(662\) 709668. 1.20451e6i 0.0629376 0.106823i
\(663\) −1.17736e6 + 1.64384e6i −0.104022 + 0.145236i
\(664\) −8.41142e6 5.15791e6i −0.740370 0.453997i
\(665\) 1.03146e7i 0.904481i
\(666\) 1.33728e7 + 1.19265e7i 1.16825 + 1.04190i
\(667\) 1.53625e7i 1.33705i
\(668\) −3.30989e6 5.97395e6i −0.286994 0.517989i
\(669\) −7.50888e6 737740.i −0.648649 0.0637291i
\(670\) −159047. 93706.7i −0.0136880 0.00806462i
\(671\) −5.13780e6 8.89893e6i −0.440525 0.763012i
\(672\) −1.32855e6 + 9.28937e6i −0.113490 + 0.793529i
\(673\) 6.73764e6 1.16699e7i 0.573417 0.993187i −0.422795 0.906225i \(-0.638951\pi\)
0.996212 0.0869616i \(-0.0277157\pi\)
\(674\) −1.06256e7 + 6.01028e6i −0.900953 + 0.509619i
\(675\) −8.92726e6 9.51779e6i −0.754152 0.804038i
\(676\) −5.99965e6 + 9.98069e6i −0.504963 + 0.840028i
\(677\) 3.38026e6 + 1.95159e6i 0.283451 + 0.163650i 0.634985 0.772525i \(-0.281006\pi\)
−0.351534 + 0.936175i \(0.614340\pi\)
\(678\) −2.03144e6 1.48227e6i −0.169719 0.123838i
\(679\) 7.52747e6 4.34599e6i 0.626577 0.361755i
\(680\) 1.94704e7 1.05642e7i 1.61474 0.876123i
\(681\) 359438. 3.65844e6i 0.0297000 0.302293i
\(682\) 9.51920e6 + 84001.1i 0.783681 + 0.00691551i
\(683\) −1.55558e7 −1.27597 −0.637985 0.770048i \(-0.720232\pi\)
−0.637985 + 0.770048i \(0.720232\pi\)
\(684\) 7.05013e6 + 6.40022e6i 0.576178 + 0.523064i
\(685\) −1.34038e7 −1.09144
\(686\) 1.34113e7 + 118347.i 1.08808 + 0.00960164i
\(687\) 3.14526e6 + 2.25272e6i 0.254252 + 0.182102i
\(688\) −5.76871e6 3.60782e6i −0.464631 0.290586i
\(689\) −1.34248e6 + 775080.i −0.107736 + 0.0622011i
\(690\) 2.33075e6 2.17489e7i 0.186369 1.73906i
\(691\) −9.52435e6 5.49889e6i −0.758823 0.438107i 0.0700501 0.997543i \(-0.477684\pi\)
−0.828873 + 0.559437i \(0.811017\pi\)
\(692\) 872493. + 524478.i 0.0692622 + 0.0416353i
\(693\) −2.10616e6 + 1.06150e7i −0.166593 + 0.839628i
\(694\) 7.91850e6 4.47905e6i 0.624086 0.353010i
\(695\) 4.93114e6 8.54099e6i 0.387245 0.670728i
\(696\) −1.75775e6 + 1.40560e7i −0.137541 + 1.09986i
\(697\) −1.31372e7 2.27543e7i −1.02429 1.77412i
\(698\) 2.27966e6 + 1.34312e6i 0.177105 + 0.104346i
\(699\) −2.19030e6 4.83102e6i −0.169555 0.373978i
\(700\) −1.00207e7 + 5.55202e6i −0.772954 + 0.428258i
\(701\) 1.51787e7i 1.16665i −0.812239 0.583324i \(-0.801752\pi\)
0.812239 0.583324i \(-0.198248\pi\)
\(702\) 403503. + 1.79623e6i 0.0309033 + 0.137569i
\(703\) 1.59621e7i 1.21815i
\(704\) 7.65497e6 1.17725e7i 0.582119 0.895238i
\(705\) 1.05062e7 + 2.31728e7i 0.796106 + 1.75592i
\(706\) −1.31872e6 + 2.23824e6i −0.0995725 + 0.169003i
\(707\) 6.46024e6 + 1.11895e7i 0.486071 + 0.841900i
\(708\) 1.17995e7 + 8.77028e6i 0.884672 + 0.657552i
\(709\) −6.34771e6 + 1.09946e7i −0.474244 + 0.821414i −0.999565 0.0294896i \(-0.990612\pi\)
0.525321 + 0.850904i \(0.323945\pi\)
\(710\) −8.27255e6 1.46250e7i −0.615876 1.08881i
\(711\) 1.04548e7 3.55453e6i 0.775609 0.263699i
\(712\) −8.20427e6 217238.i −0.606513 0.0160597i
\(713\) 1.04073e7 + 6.00867e6i 0.766682 + 0.442644i
\(714\) −1.37565e7 1.47423e6i −1.00986 0.108223i
\(715\) −2.58447e6 + 1.49215e6i −0.189063 + 0.109156i
\(716\) −1.52104e7 268465.i −1.10881 0.0195707i
\(717\) 7.70297e6 + 5.51707e6i 0.559578 + 0.400784i
\(718\) −110561. + 1.25291e7i −0.00800374 + 0.907001i
\(719\) −1.30901e7 −0.944324 −0.472162 0.881512i \(-0.656526\pi\)
−0.472162 + 0.881512i \(0.656526\pi\)
\(720\) 4.62099e6 1.96326e7i 0.332203 1.41139i
\(721\) 6.94705e6 0.497693
\(722\) −48749.8 + 5.52443e6i −0.00348040 + 0.394407i
\(723\) 2.30660e6 2.34771e7i 0.164107 1.67031i
\(724\) −150232. 2651.62i −0.0106516 0.000188003i
\(725\) −1.49766e7 + 8.64672e6i −1.05820 + 0.610951i
\(726\) 1.17456e6 1.60973e6i 0.0827052 0.113347i
\(727\) −6.63075e6 3.82826e6i −0.465293 0.268637i 0.248974 0.968510i \(-0.419907\pi\)
−0.714267 + 0.699873i \(0.753240\pi\)
\(728\) 1.61564e6 + 42780.1i 0.112984 + 0.00299167i
\(729\) −1.19422e7 7.95463e6i −0.832269 0.554372i
\(730\) 1.32368e7 + 2.34012e7i 0.919337 + 1.62529i
\(731\) 5.01578e6 8.68758e6i 0.347172 0.601319i
\(732\) 1.37941e6 1.18812e7i 0.0951514 0.819561i
\(733\) 9.24808e6 + 1.60181e7i 0.635757 + 1.10116i 0.986354 + 0.164638i \(0.0526455\pi\)
−0.350597 + 0.936527i \(0.614021\pi\)
\(734\) −8.44057e6 + 1.43260e7i −0.578271 + 0.981491i
\(735\) −7.55405e6 742178.i −0.515776 0.0506745i
\(736\) 1.57280e7 8.17774e6i 1.07024 0.556466i
\(737\) 172532.i 0.0117004i
\(738\) −2.34233e7 4.86271e6i −1.58310 0.328653i
\(739\) 3.75594e6i 0.252992i 0.991967 + 0.126496i \(0.0403732\pi\)
−0.991967 + 0.126496i \(0.959627\pi\)
\(740\) −2.95745e7 + 1.63859e7i −1.98535 + 1.09999i
\(741\) 954935. 1.33329e6i 0.0638893 0.0892027i
\(742\) −9.13868e6 5.38429e6i −0.609359 0.359020i
\(743\) 22492.7 + 38958.6i 0.00149476 + 0.00258899i 0.866772 0.498705i \(-0.166191\pi\)
−0.865277 + 0.501294i \(0.832858\pi\)
\(744\) 8.83471e6 + 6.68843e6i 0.585140 + 0.442988i
\(745\) −2.84462e6 + 4.92702e6i −0.187773 + 0.325232i
\(746\) 8.17760e6 4.62561e6i 0.537996 0.304314i
\(747\) −4.26359e6 1.25403e7i −0.279559 0.822258i
\(748\) 1.77444e7 + 1.06666e7i 1.15960 + 0.697066i
\(749\) 1.29632e7 + 7.48433e6i 0.844324 + 0.487471i
\(750\) 2.09078e6 925772.i 0.135724 0.0600967i
\(751\) 2.26479e7 1.30757e7i 1.46530 0.845993i 0.466054 0.884756i \(-0.345675\pi\)
0.999248 + 0.0387633i \(0.0123418\pi\)
\(752\) −1.09338e7 + 1.74825e7i −0.705059 + 1.12735i
\(753\) −1.60873e7 + 7.29371e6i −1.03394 + 0.468771i
\(754\) 2.43966e6 + 21528.5i 0.156279 + 0.00137907i
\(755\) 2.91248e6 0.185950
\(756\) −9.33848e6 + 8.45429e6i −0.594254 + 0.537988i
\(757\) −8.60555e6 −0.545807 −0.272903 0.962041i \(-0.587984\pi\)
−0.272903 + 0.962041i \(0.587984\pi\)
\(758\) −2.65382e7 234183.i −1.67764 0.0148041i
\(759\) 1.86193e7 8.44168e6i 1.17316 0.531893i
\(760\) −1.57921e7 + 8.56845e6i −0.991761 + 0.538107i
\(761\) 2.15910e7 1.24656e7i 1.35148 0.780280i 0.363027 0.931779i \(-0.381743\pi\)