Properties

Label 76.6.f.a.27.18
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.18
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.50677 - 5.07111i) q^{2} +(-2.01363 + 3.48771i) q^{3} +(-19.4322 + 25.4242i) q^{4} +(54.6845 - 94.7163i) q^{5} +(22.7343 + 1.46846i) q^{6} +177.092i q^{7} +(177.641 + 34.8105i) q^{8} +(113.391 + 196.398i) q^{9} +O(q^{10})\) \(q+(-2.50677 - 5.07111i) q^{2} +(-2.01363 + 3.48771i) q^{3} +(-19.4322 + 25.4242i) q^{4} +(54.6845 - 94.7163i) q^{5} +(22.7343 + 1.46846i) q^{6} +177.092i q^{7} +(177.641 + 34.8105i) q^{8} +(113.391 + 196.398i) q^{9} +(-617.397 - 39.8792i) q^{10} -61.3620i q^{11} +(-49.5428 - 118.969i) q^{12} +(252.490 - 145.775i) q^{13} +(898.054 - 443.929i) q^{14} +(220.229 + 381.447i) q^{15} +(-268.776 - 988.097i) q^{16} +(269.971 - 467.603i) q^{17} +(711.713 - 1067.34i) q^{18} +(1472.04 - 556.059i) q^{19} +(1345.44 + 3230.86i) q^{20} +(-617.647 - 356.598i) q^{21} +(-311.173 + 153.820i) q^{22} +(2540.20 - 1466.59i) q^{23} +(-479.112 + 549.464i) q^{24} +(-4418.28 - 7652.69i) q^{25} +(-1372.18 - 914.980i) q^{26} -1891.93 q^{27} +(-4502.42 - 3441.30i) q^{28} +(3743.38 - 2161.24i) q^{29} +(1382.30 - 2073.00i) q^{30} -5976.45 q^{31} +(-4336.99 + 3839.92i) q^{32} +(214.013 + 123.560i) q^{33} +(-3048.02 - 196.879i) q^{34} +(16773.5 + 9684.20i) q^{35} +(-7196.69 - 933.598i) q^{36} -2104.57i q^{37} +(-6509.89 - 6070.95i) q^{38} +1174.15i q^{39} +(13011.3 - 14921.9i) q^{40} +(8334.82 + 4812.11i) q^{41} +(-260.053 + 4026.06i) q^{42} +(16202.5 + 9354.53i) q^{43} +(1560.08 + 1192.40i) q^{44} +24802.8 q^{45} +(-13804.9 - 9205.25i) q^{46} +(-1389.93 + 802.479i) q^{47} +(3987.41 + 1052.25i) q^{48} -14554.7 q^{49} +(-27732.0 + 41589.1i) q^{50} +(1087.24 + 1883.16i) q^{51} +(-1200.24 + 9252.09i) q^{52} +(-17327.4 + 10004.0i) q^{53} +(4742.63 + 9594.19i) q^{54} +(-5811.98 - 3355.55i) q^{55} +(-6164.68 + 31458.8i) q^{56} +(-1024.77 + 6253.74i) q^{57} +(-20343.6 - 13565.3i) q^{58} +(17573.1 - 30437.5i) q^{59} +(-13977.5 - 1813.25i) q^{60} +(6467.16 + 11201.4i) q^{61} +(14981.6 + 30307.2i) q^{62} +(-34780.6 + 20080.6i) q^{63} +(30344.5 + 12367.5i) q^{64} -31886.6i q^{65} +(90.1076 - 1395.02i) q^{66} +(2566.32 + 4445.01i) q^{67} +(6642.28 + 15950.4i) q^{68} +11812.7i q^{69} +(7062.29 - 109336. i) q^{70} +(19654.5 - 34042.5i) q^{71} +(13306.1 + 38835.5i) q^{72} +(25575.8 - 44298.5i) q^{73} +(-10672.5 + 5275.68i) q^{74} +35587.1 q^{75} +(-14467.7 + 48230.8i) q^{76} +10866.7 q^{77} +(5954.24 - 2943.32i) q^{78} +(-43513.7 + 75368.0i) q^{79} +(-108287. - 28576.1i) q^{80} +(-23744.3 + 41126.3i) q^{81} +(3509.28 - 54329.6i) q^{82} +32951.6i q^{83} +(21068.5 - 8773.64i) q^{84} +(-29526.4 - 51141.3i) q^{85} +(6821.88 - 105614. i) q^{86} +17407.8i q^{87} +(2136.04 - 10900.4i) q^{88} +(-41492.7 + 23955.8i) q^{89} +(-62174.9 - 125778. i) q^{90} +(25815.7 + 44714.0i) q^{91} +(-12075.1 + 93081.6i) q^{92} +(12034.4 - 20844.1i) q^{93} +(7553.70 + 5036.88i) q^{94} +(27829.8 - 169834. i) q^{95} +(-4659.44 - 22858.3i) q^{96} +(77714.5 + 44868.5i) q^{97} +(36485.2 + 73808.3i) q^{98} +(12051.4 - 6957.88i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.50677 5.07111i −0.443138 0.896453i
\(3\) −2.01363 + 3.48771i −0.129174 + 0.223737i −0.923357 0.383943i \(-0.874566\pi\)
0.794183 + 0.607679i \(0.207899\pi\)
\(4\) −19.4322 + 25.4242i −0.607258 + 0.794505i
\(5\) 54.6845 94.7163i 0.978225 1.69434i 0.309373 0.950941i \(-0.399881\pi\)
0.668852 0.743395i \(-0.266786\pi\)
\(6\) 22.7343 + 1.46846i 0.257812 + 0.0166527i
\(7\) 177.092i 1.36601i 0.730413 + 0.683006i \(0.239328\pi\)
−0.730413 + 0.683006i \(0.760672\pi\)
\(8\) 177.641 + 34.8105i 0.981336 + 0.192303i
\(9\) 113.391 + 196.398i 0.466628 + 0.808223i
\(10\) −617.397 39.8792i −1.95238 0.126109i
\(11\) 61.3620i 0.152904i −0.997073 0.0764518i \(-0.975641\pi\)
0.997073 0.0764518i \(-0.0243591\pi\)
\(12\) −49.5428 118.969i −0.0993178 0.238496i
\(13\) 252.490 145.775i 0.414368 0.239235i −0.278297 0.960495i \(-0.589770\pi\)
0.692665 + 0.721260i \(0.256437\pi\)
\(14\) 898.054 443.929i 1.22457 0.605332i
\(15\) 220.229 + 381.447i 0.252723 + 0.437730i
\(16\) −268.776 988.097i −0.262476 0.964938i
\(17\) 269.971 467.603i 0.226566 0.392424i −0.730222 0.683210i \(-0.760583\pi\)
0.956788 + 0.290786i \(0.0939168\pi\)
\(18\) 711.713 1067.34i 0.517754 0.776465i
\(19\) 1472.04 556.059i 0.935481 0.353376i
\(20\) 1345.44 + 3230.86i 0.752124 + 1.80610i
\(21\) −617.647 356.598i −0.305627 0.176454i
\(22\) −311.173 + 153.820i −0.137071 + 0.0677574i
\(23\) 2540.20 1466.59i 1.00126 0.578080i 0.0926422 0.995699i \(-0.470469\pi\)
0.908622 + 0.417619i \(0.137135\pi\)
\(24\) −479.112 + 549.464i −0.169789 + 0.194720i
\(25\) −4418.28 7652.69i −1.41385 2.44886i
\(26\) −1372.18 914.980i −0.398085 0.265447i
\(27\) −1891.93 −0.499455
\(28\) −4502.42 3441.30i −1.08530 0.829521i
\(29\) 3743.38 2161.24i 0.826549 0.477208i −0.0261207 0.999659i \(-0.508315\pi\)
0.852670 + 0.522451i \(0.174982\pi\)
\(30\) 1382.30 2073.00i 0.280413 0.420530i
\(31\) −5976.45 −1.11696 −0.558482 0.829516i \(-0.688616\pi\)
−0.558482 + 0.829516i \(0.688616\pi\)
\(32\) −4336.99 + 3839.92i −0.748709 + 0.662899i
\(33\) 214.013 + 123.560i 0.0342102 + 0.0197513i
\(34\) −3048.02 196.879i −0.452190 0.0292080i
\(35\) 16773.5 + 9684.20i 2.31448 + 1.33627i
\(36\) −7196.69 933.598i −0.925501 0.120061i
\(37\) 2104.57i 0.252732i −0.991984 0.126366i \(-0.959669\pi\)
0.991984 0.126366i \(-0.0403313\pi\)
\(38\) −6509.89 6070.95i −0.731332 0.682021i
\(39\) 1174.15i 0.123612i
\(40\) 13011.3 14921.9i 1.28579 1.47460i
\(41\) 8334.82 + 4812.11i 0.774349 + 0.447071i 0.834424 0.551123i \(-0.185801\pi\)
−0.0600749 + 0.998194i \(0.519134\pi\)
\(42\) −260.053 + 4026.06i −0.0227477 + 0.352174i
\(43\) 16202.5 + 9354.53i 1.33632 + 0.771526i 0.986260 0.165200i \(-0.0528269\pi\)
0.350063 + 0.936726i \(0.386160\pi\)
\(44\) 1560.08 + 1192.40i 0.121483 + 0.0928519i
\(45\) 24802.8 1.82587
\(46\) −13804.9 9205.25i −0.961920 0.641418i
\(47\) −1389.93 + 802.479i −0.0917804 + 0.0529894i −0.545188 0.838314i \(-0.683542\pi\)
0.453407 + 0.891303i \(0.350208\pi\)
\(48\) 3987.41 + 1052.25i 0.249797 + 0.0659198i
\(49\) −14554.7 −0.865989
\(50\) −27732.0 + 41589.1i −1.56876 + 2.35263i
\(51\) 1087.24 + 1883.16i 0.0585331 + 0.101382i
\(52\) −1200.24 + 9252.09i −0.0615543 + 0.474495i
\(53\) −17327.4 + 10004.0i −0.847312 + 0.489196i −0.859743 0.510727i \(-0.829376\pi\)
0.0124308 + 0.999923i \(0.496043\pi\)
\(54\) 4742.63 + 9594.19i 0.221327 + 0.447738i
\(55\) −5811.98 3355.55i −0.259070 0.149574i
\(56\) −6164.68 + 31458.8i −0.262688 + 1.34052i
\(57\) −1024.77 + 6253.74i −0.0417771 + 0.254949i
\(58\) −20343.6 13565.3i −0.794070 0.529494i
\(59\) 17573.1 30437.5i 0.657230 1.13836i −0.324099 0.946023i \(-0.605061\pi\)
0.981330 0.192333i \(-0.0616055\pi\)
\(60\) −13977.5 1813.25i −0.501247 0.0650247i
\(61\) 6467.16 + 11201.4i 0.222530 + 0.385433i 0.955576 0.294746i \(-0.0952351\pi\)
−0.733045 + 0.680180i \(0.761902\pi\)
\(62\) 14981.6 + 30307.2i 0.494969 + 1.00131i
\(63\) −34780.6 + 20080.6i −1.10404 + 0.637419i
\(64\) 30344.5 + 12367.5i 0.926039 + 0.377427i
\(65\) 31886.6i 0.936104i
\(66\) 90.1076 1395.02i 0.00254625 0.0394204i
\(67\) 2566.32 + 4445.01i 0.0698433 + 0.120972i 0.898832 0.438293i \(-0.144417\pi\)
−0.828989 + 0.559265i \(0.811083\pi\)
\(68\) 6642.28 + 15950.4i 0.174199 + 0.418310i
\(69\) 11812.7i 0.298693i
\(70\) 7062.29 109336.i 0.172266 2.66698i
\(71\) 19654.5 34042.5i 0.462717 0.801449i −0.536378 0.843978i \(-0.680208\pi\)
0.999095 + 0.0425285i \(0.0135413\pi\)
\(72\) 13306.1 + 38835.5i 0.302495 + 0.882872i
\(73\) 25575.8 44298.5i 0.561722 0.972931i −0.435624 0.900129i \(-0.643472\pi\)
0.997346 0.0728028i \(-0.0231944\pi\)
\(74\) −10672.5 + 5275.68i −0.226562 + 0.111995i
\(75\) 35587.1 0.730533
\(76\) −14467.7 + 48230.8i −0.287319 + 0.957835i
\(77\) 10866.7 0.208868
\(78\) 5954.24 2943.32i 0.110813 0.0547773i
\(79\) −43513.7 + 75368.0i −0.784438 + 1.35869i 0.144896 + 0.989447i \(0.453715\pi\)
−0.929334 + 0.369240i \(0.879618\pi\)
\(80\) −108287. 28576.1i −1.89169 0.499204i
\(81\) −23744.3 + 41126.3i −0.402111 + 0.696477i
\(82\) 3509.28 54329.6i 0.0576346 0.892282i
\(83\) 32951.6i 0.525026i 0.964928 + 0.262513i \(0.0845513\pi\)
−0.964928 + 0.262513i \(0.915449\pi\)
\(84\) 21068.5 8773.64i 0.325788 0.135669i
\(85\) −29526.4 51141.3i −0.443265 0.767758i
\(86\) 6821.88 105614.i 0.0994621 1.53984i
\(87\) 17407.8i 0.246572i
\(88\) 2136.04 10900.4i 0.0294038 0.150050i
\(89\) −41492.7 + 23955.8i −0.555261 + 0.320580i −0.751241 0.660028i \(-0.770544\pi\)
0.195980 + 0.980608i \(0.437211\pi\)
\(90\) −62174.9 125778.i −0.809112 1.63681i
\(91\) 25815.7 + 44714.0i 0.326798 + 0.566031i
\(92\) −12075.1 + 93081.6i −0.148738 + 1.14655i
\(93\) 12034.4 20844.1i 0.144283 0.249906i
\(94\) 7553.70 + 5036.88i 0.0881739 + 0.0587952i
\(95\) 27829.8 169834.i 0.316374 1.93070i
\(96\) −4659.44 22858.3i −0.0516007 0.253143i
\(97\) 77714.5 + 44868.5i 0.838635 + 0.484186i 0.856800 0.515649i \(-0.172449\pi\)
−0.0181653 + 0.999835i \(0.505783\pi\)
\(98\) 36485.2 + 73808.3i 0.383753 + 0.776319i
\(99\) 12051.4 6957.88i 0.123580 0.0713491i
\(100\) 280420. + 36377.8i 2.80420 + 0.363778i
\(101\) −16924.1 29313.3i −0.165083 0.285931i 0.771602 0.636106i \(-0.219456\pi\)
−0.936685 + 0.350174i \(0.886122\pi\)
\(102\) 6824.24 10234.2i 0.0649462 0.0973985i
\(103\) −207497. −1.92716 −0.963581 0.267417i \(-0.913830\pi\)
−0.963581 + 0.267417i \(0.913830\pi\)
\(104\) 49927.0 17106.3i 0.452639 0.155086i
\(105\) −67551.4 + 39000.8i −0.597944 + 0.345223i
\(106\) 94166.9 + 62791.4i 0.814018 + 0.542795i
\(107\) −23059.0 −0.194706 −0.0973532 0.995250i \(-0.531038\pi\)
−0.0973532 + 0.995250i \(0.531038\pi\)
\(108\) 36764.5 48100.8i 0.303298 0.396819i
\(109\) 70405.5 + 40648.6i 0.567597 + 0.327702i 0.756189 0.654353i \(-0.227059\pi\)
−0.188592 + 0.982056i \(0.560392\pi\)
\(110\) −2447.07 + 37884.8i −0.0192825 + 0.298526i
\(111\) 7340.15 + 4237.84i 0.0565454 + 0.0326465i
\(112\) 174984. 47598.1i 1.31812 0.358546i
\(113\) 64217.9i 0.473107i −0.971618 0.236554i \(-0.923982\pi\)
0.971618 0.236554i \(-0.0760179\pi\)
\(114\) 34282.2 10480.0i 0.247063 0.0755262i
\(115\) 320798.i 2.26197i
\(116\) −17794.5 + 137170.i −0.122784 + 0.946486i
\(117\) 57260.0 + 33059.1i 0.386711 + 0.223268i
\(118\) −198403. 12815.3i −1.31173 0.0847276i
\(119\) 82808.9 + 47809.8i 0.536056 + 0.309492i
\(120\) 25843.2 + 75426.8i 0.163830 + 0.478159i
\(121\) 157286. 0.976620
\(122\) 40592.1 60875.0i 0.246912 0.370288i
\(123\) −33566.5 + 19379.6i −0.200052 + 0.115500i
\(124\) 116136. 151946.i 0.678285 0.887434i
\(125\) −624667. −3.57580
\(126\) 189018. + 126039.i 1.06066 + 0.707258i
\(127\) −10299.4 17839.1i −0.0566636 0.0981442i 0.836302 0.548269i \(-0.184713\pi\)
−0.892966 + 0.450125i \(0.851380\pi\)
\(128\) −13349.4 184882.i −0.0720171 0.997403i
\(129\) −65251.8 + 37673.1i −0.345238 + 0.199323i
\(130\) −161700. + 79932.1i −0.839174 + 0.414823i
\(131\) −62079.5 35841.6i −0.316060 0.182477i 0.333575 0.942724i \(-0.391745\pi\)
−0.649635 + 0.760246i \(0.725078\pi\)
\(132\) −7300.17 + 3040.04i −0.0364669 + 0.0151861i
\(133\) 98473.8 + 260687.i 0.482716 + 1.27788i
\(134\) 16107.9 24156.7i 0.0774957 0.116219i
\(135\) −103459. + 179197.i −0.488579 + 0.846244i
\(136\) 64235.3 73667.6i 0.297801 0.341530i
\(137\) 164184. + 284376.i 0.747361 + 1.29447i 0.949083 + 0.315025i \(0.102013\pi\)
−0.201722 + 0.979443i \(0.564654\pi\)
\(138\) 59903.2 29611.6i 0.267764 0.132362i
\(139\) −288464. + 166545.i −1.26635 + 0.731129i −0.974296 0.225272i \(-0.927673\pi\)
−0.292056 + 0.956401i \(0.594339\pi\)
\(140\) −572160. + 238267.i −2.46716 + 1.02741i
\(141\) 6463.59i 0.0273795i
\(142\) −221902. 14333.2i −0.923509 0.0596516i
\(143\) −8945.06 15493.3i −0.0365800 0.0633583i
\(144\) 163584. 164828.i 0.657407 0.662407i
\(145\) 472745.i 1.86727i
\(146\) −288755. 18651.4i −1.12111 0.0724150i
\(147\) 29307.8 50762.5i 0.111864 0.193754i
\(148\) 53507.0 + 40896.6i 0.200797 + 0.153473i
\(149\) −1980.69 + 3430.66i −0.00730890 + 0.0126594i −0.869657 0.493657i \(-0.835660\pi\)
0.862348 + 0.506316i \(0.168993\pi\)
\(150\) −89208.7 180466.i −0.323727 0.654889i
\(151\) 275213. 0.982260 0.491130 0.871086i \(-0.336584\pi\)
0.491130 + 0.871086i \(0.336584\pi\)
\(152\) 280851. 47536.3i 0.985976 0.166885i
\(153\) 122449. 0.422888
\(154\) −27240.4 55106.4i −0.0925575 0.187241i
\(155\) −326819. + 566067.i −1.09264 + 1.89251i
\(156\) −29851.8 22816.4i −0.0982107 0.0750646i
\(157\) 206589. 357822.i 0.668894 1.15856i −0.309320 0.950958i \(-0.600101\pi\)
0.978214 0.207600i \(-0.0665654\pi\)
\(158\) 491278. + 31732.8i 1.56561 + 0.101127i
\(159\) 80577.2i 0.252767i
\(160\) 126537. + 620767.i 0.390767 + 1.91703i
\(161\) 259721. + 449850.i 0.789665 + 1.36774i
\(162\) 268077. + 17315.7i 0.802550 + 0.0518386i
\(163\) 58659.1i 0.172928i −0.996255 0.0864642i \(-0.972443\pi\)
0.996255 0.0864642i \(-0.0275568\pi\)
\(164\) −284308. + 118396.i −0.825429 + 0.343737i
\(165\) 23406.4 13513.7i 0.0669305 0.0386424i
\(166\) 167101. 82601.9i 0.470662 0.232659i
\(167\) −296161. 512966.i −0.821744 1.42330i −0.904382 0.426723i \(-0.859668\pi\)
0.0826383 0.996580i \(-0.473665\pi\)
\(168\) −97305.8 84847.0i −0.265990 0.231933i
\(169\) −143146. + 247936.i −0.385533 + 0.667763i
\(170\) −185327. + 277931.i −0.491831 + 0.737589i
\(171\) 276124. + 226054.i 0.722128 + 0.591183i
\(172\) −552682. + 230156.i −1.42447 + 0.593200i
\(173\) −39293.7 22686.2i −0.0998176 0.0576297i 0.449260 0.893401i \(-0.351688\pi\)
−0.549078 + 0.835771i \(0.685021\pi\)
\(174\) 88276.6 43637.2i 0.221041 0.109266i
\(175\) 1.35523e6 782444.i 3.34517 1.93134i
\(176\) −60631.6 + 16492.6i −0.147543 + 0.0401336i
\(177\) 70771.4 + 122580.i 0.169795 + 0.294093i
\(178\) 225495. + 150362.i 0.533442 + 0.355704i
\(179\) −345370. −0.805660 −0.402830 0.915275i \(-0.631973\pi\)
−0.402830 + 0.915275i \(0.631973\pi\)
\(180\) −481974. + 630591.i −1.10877 + 1.45066i
\(181\) −553203. + 319392.i −1.25513 + 0.724648i −0.972123 0.234470i \(-0.924664\pi\)
−0.283004 + 0.959119i \(0.591331\pi\)
\(182\) 162036. 243002.i 0.362604 0.543789i
\(183\) −52089.9 −0.114981
\(184\) 502296. 172100.i 1.09374 0.374745i
\(185\) −199337. 115088.i −0.428213 0.247229i
\(186\) −135870. 8776.18i −0.287967 0.0186004i
\(187\) −28693.1 16566.0i −0.0600030 0.0346428i
\(188\) 6607.19 50931.9i 0.0136340 0.105098i
\(189\) 335047.i 0.682261i
\(190\) −931008. + 284606.i −1.87098 + 0.571952i
\(191\) 571829.i 1.13418i 0.823655 + 0.567091i \(0.191931\pi\)
−0.823655 + 0.567091i \(0.808069\pi\)
\(192\) −104237. + 80929.0i −0.204065 + 0.158435i
\(193\) −595146. 343607.i −1.15009 0.664002i −0.201177 0.979555i \(-0.564477\pi\)
−0.948908 + 0.315553i \(0.897810\pi\)
\(194\) 32720.8 506573.i 0.0624193 0.966358i
\(195\) 111211. + 64207.7i 0.209441 + 0.120921i
\(196\) 282830. 370041.i 0.525879 0.688033i
\(197\) 833534. 1.53023 0.765117 0.643891i \(-0.222681\pi\)
0.765117 + 0.643891i \(0.222681\pi\)
\(198\) −65494.2 43672.1i −0.118724 0.0791665i
\(199\) −425483. + 245653.i −0.761640 + 0.439733i −0.829884 0.557936i \(-0.811594\pi\)
0.0682444 + 0.997669i \(0.478260\pi\)
\(200\) −518473. 1.51323e6i −0.916539 2.67504i
\(201\) −20670.5 −0.0360879
\(202\) −106226. + 159305.i −0.183170 + 0.274696i
\(203\) 382739. + 662923.i 0.651872 + 1.12908i
\(204\) −69005.4 8951.78i −0.116093 0.0150603i
\(205\) 911570. 526295.i 1.51498 0.874671i
\(206\) 520146. + 1.05224e6i 0.853999 + 1.72761i
\(207\) 576070. + 332594.i 0.934436 + 0.539497i
\(208\) −211903. 210304.i −0.339609 0.337046i
\(209\) −34120.9 90327.3i −0.0540325 0.143039i
\(210\) 367113. + 244794.i 0.574449 + 0.383048i
\(211\) −169744. + 294006.i −0.262476 + 0.454621i −0.966899 0.255159i \(-0.917872\pi\)
0.704423 + 0.709780i \(0.251206\pi\)
\(212\) 82367.4 634934.i 0.125868 0.970262i
\(213\) 79153.7 + 137098.i 0.119542 + 0.207054i
\(214\) 57803.4 + 116934.i 0.0862818 + 0.174545i
\(215\) 1.77205e6 1.02309e6i 2.61445 1.50945i
\(216\) −336084. 65859.1i −0.490133 0.0960465i
\(217\) 1.05838e6i 1.52579i
\(218\) 29643.4 458930.i 0.0422461 0.654042i
\(219\) 103000. + 178402.i 0.145120 + 0.251356i
\(220\) 198252. 82558.9i 0.276160 0.115002i
\(221\) 157420.i 0.216810i
\(222\) 3090.48 47845.9i 0.00420866 0.0651572i
\(223\) −75210.3 + 130268.i −0.101278 + 0.175419i −0.912211 0.409720i \(-0.865626\pi\)
0.810933 + 0.585138i \(0.198960\pi\)
\(224\) −680020. 768047.i −0.905528 1.02275i
\(225\) 1.00198e6 1.73549e6i 1.31948 2.28541i
\(226\) −325656. + 160979.i −0.424119 + 0.209652i
\(227\) −1.30617e6 −1.68243 −0.841213 0.540703i \(-0.818158\pi\)
−0.841213 + 0.540703i \(0.818158\pi\)
\(228\) −139083. 147578.i −0.177189 0.188012i
\(229\) −375776. −0.473522 −0.236761 0.971568i \(-0.576086\pi\)
−0.236761 + 0.971568i \(0.576086\pi\)
\(230\) −1.62680e6 + 804166.i −2.02775 + 1.00237i
\(231\) −21881.6 + 37900.0i −0.0269805 + 0.0467315i
\(232\) 740210. 253615.i 0.902890 0.309354i
\(233\) −158635. + 274764.i −0.191430 + 0.331566i −0.945724 0.324970i \(-0.894646\pi\)
0.754295 + 0.656536i \(0.227979\pi\)
\(234\) 24108.6 373243.i 0.0287828 0.445607i
\(235\) 175533.i 0.207342i
\(236\) 432363. + 1.03825e6i 0.505322 + 1.21345i
\(237\) −175241. 303527.i −0.202659 0.351015i
\(238\) 34865.7 539781.i 0.0398985 0.617696i
\(239\) 672989.i 0.762102i 0.924554 + 0.381051i \(0.124438\pi\)
−0.924554 + 0.381051i \(0.875562\pi\)
\(240\) 317715. 320131.i 0.356048 0.358756i
\(241\) −1.00505e6 + 580265.i −1.11466 + 0.643552i −0.940033 0.341082i \(-0.889207\pi\)
−0.174631 + 0.984634i \(0.555873\pi\)
\(242\) −394279. 797613.i −0.432778 0.875495i
\(243\) −325494. 563772.i −0.353612 0.612474i
\(244\) −410459. 53247.1i −0.441362 0.0572561i
\(245\) −795915. + 1.37857e6i −0.847133 + 1.46728i
\(246\) 182420. + 121639.i 0.192191 + 0.128155i
\(247\) 290615. 354986.i 0.303093 0.370228i
\(248\) −1.06166e6 208044.i −1.09612 0.214795i
\(249\) −114926. 66352.3i −0.117468 0.0678200i
\(250\) 1.56590e6 + 3.16775e6i 1.58457 + 3.20554i
\(251\) 50440.9 29122.1i 0.0505357 0.0291768i −0.474519 0.880245i \(-0.657378\pi\)
0.525055 + 0.851068i \(0.324045\pi\)
\(252\) 165333. 1.27448e6i 0.164005 1.26425i
\(253\) −89992.7 155872.i −0.0883906 0.153097i
\(254\) −64645.9 + 96948.1i −0.0628719 + 0.0942877i
\(255\) 237821. 0.229034
\(256\) −904095. + 531153.i −0.862212 + 0.506547i
\(257\) 220465. 127285.i 0.208212 0.120211i −0.392268 0.919851i \(-0.628309\pi\)
0.600480 + 0.799640i \(0.294976\pi\)
\(258\) 354615. + 236461.i 0.331672 + 0.221162i
\(259\) 372704. 0.345235
\(260\) 810689. + 619627.i 0.743740 + 0.568456i
\(261\) 848927. + 490128.i 0.771382 + 0.445357i
\(262\) −26137.8 + 404658.i −0.0235243 + 0.364196i
\(263\) −1.47513e6 851669.i −1.31505 0.759244i −0.332122 0.943236i \(-0.607765\pi\)
−0.982928 + 0.183992i \(0.941098\pi\)
\(264\) 33716.2 + 29399.3i 0.0297734 + 0.0259613i
\(265\) 2.18825e6i 1.91418i
\(266\) 1.07512e6 1.15285e6i 0.931649 0.999009i
\(267\) 192953.i 0.165643i
\(268\) −162880. 21129.8i −0.138526 0.0179704i
\(269\) −322613. 186261.i −0.271832 0.156942i 0.357888 0.933765i \(-0.383497\pi\)
−0.629720 + 0.776822i \(0.716830\pi\)
\(270\) 1.16807e6 + 75448.6i 0.975126 + 0.0629857i
\(271\) −312244. 180274.i −0.258268 0.149111i 0.365276 0.930899i \(-0.380975\pi\)
−0.623544 + 0.781788i \(0.714308\pi\)
\(272\) −534599. 141077.i −0.438133 0.115620i
\(273\) −207933. −0.168856
\(274\) 1.03053e6 1.54546e6i 0.829246 1.24360i
\(275\) −469584. + 271115.i −0.374440 + 0.216183i
\(276\) −300327. 229546.i −0.237313 0.181383i
\(277\) 1.15217e6 0.902226 0.451113 0.892467i \(-0.351027\pi\)
0.451113 + 0.892467i \(0.351027\pi\)
\(278\) 1.56768e6 + 1.04534e6i 1.21659 + 0.811235i
\(279\) −677674. 1.17377e6i −0.521207 0.902757i
\(280\) 2.64255e6 + 2.30420e6i 2.01432 + 1.75641i
\(281\) −1.60778e6 + 928253.i −1.21468 + 0.701295i −0.963775 0.266717i \(-0.914061\pi\)
−0.250904 + 0.968012i \(0.580728\pi\)
\(282\) −32777.5 + 16202.7i −0.0245445 + 0.0121329i
\(283\) 893708. + 515982.i 0.663330 + 0.382974i 0.793544 0.608512i \(-0.208233\pi\)
−0.130215 + 0.991486i \(0.541567\pi\)
\(284\) 483572. + 1.16122e6i 0.355767 + 0.854317i
\(285\) 536292. + 439045.i 0.391101 + 0.320182i
\(286\) −56145.0 + 84199.4i −0.0405878 + 0.0608687i
\(287\) −852188. + 1.47603e6i −0.610704 + 1.05777i
\(288\) −1.24593e6 416366.i −0.885139 0.295797i
\(289\) 564160. + 977154.i 0.397336 + 0.688206i
\(290\) −2.39734e6 + 1.18506e6i −1.67392 + 0.827458i
\(291\) −312977. + 180697.i −0.216660 + 0.125089i
\(292\) 629259. + 1.51106e6i 0.431889 + 1.03711i
\(293\) 573532.i 0.390291i −0.980774 0.195145i \(-0.937482\pi\)
0.980774 0.195145i \(-0.0625179\pi\)
\(294\) −330890. 21373.0i −0.223262 0.0144210i
\(295\) −1.92195e6 3.32891e6i −1.28584 2.22714i
\(296\) 73261.3 373858.i 0.0486010 0.248015i
\(297\) 116093.i 0.0763684i
\(298\) 22362.4 + 1444.44i 0.0145874 + 0.000942234i
\(299\) 427584. 740597.i 0.276594 0.479076i
\(300\) −691538. + 904773.i −0.443622 + 0.580412i
\(301\) −1.65661e6 + 2.86934e6i −1.05391 + 1.82543i
\(302\) −689894. 1.39563e6i −0.435277 0.880550i
\(303\) 136315. 0.0852978
\(304\) −945089. 1.30506e6i −0.586528 0.809929i
\(305\) 1.41461e6 0.870738
\(306\) −306950. 620950.i −0.187398 0.379099i
\(307\) −392332. + 679539.i −0.237579 + 0.411499i −0.960019 0.279935i \(-0.909687\pi\)
0.722440 + 0.691433i \(0.243020\pi\)
\(308\) −211165. + 276278.i −0.126837 + 0.165947i
\(309\) 417822. 723689.i 0.248940 0.431177i
\(310\) 3.68985e6 + 238336.i 2.18074 + 0.140859i
\(311\) 590840.i 0.346393i −0.984887 0.173196i \(-0.944590\pi\)
0.984887 0.173196i \(-0.0554095\pi\)
\(312\) −40872.8 + 208577.i −0.0237710 + 0.121305i
\(313\) 171100. + 296353.i 0.0987161 + 0.170981i 0.911153 0.412067i \(-0.135193\pi\)
−0.812437 + 0.583048i \(0.801860\pi\)
\(314\) −2.33242e6 150657.i −1.33501 0.0862312i
\(315\) 4.39239e6i 2.49416i
\(316\) −1.07060e6 2.57087e6i −0.603128 1.44831i
\(317\) 1.40964e6 813857.i 0.787881 0.454883i −0.0513352 0.998681i \(-0.516348\pi\)
0.839216 + 0.543798i \(0.183014\pi\)
\(318\) −408616. + 201988.i −0.226593 + 0.112010i
\(319\) −132618. 229701.i −0.0729669 0.126382i
\(320\) 2.83078e6 2.19780e6i 1.54536 1.19981i
\(321\) 46432.2 80423.0i 0.0251511 0.0435630i
\(322\) 1.63018e6 2.44474e6i 0.876184 1.31399i
\(323\) 137392. 838450.i 0.0732751 0.447168i
\(324\) −584197. 1.40285e6i −0.309169 0.742420i
\(325\) −2.23114e6 1.28815e6i −1.17171 0.676486i
\(326\) −297467. + 147045.i −0.155022 + 0.0766311i
\(327\) −283541. + 163703.i −0.146638 + 0.0846615i
\(328\) 1.31309e6 + 1.14497e6i 0.673923 + 0.587636i
\(329\) −142113. 246147.i −0.0723842 0.125373i
\(330\) −127204. 84820.6i −0.0643005 0.0428762i
\(331\) −1.63245e6 −0.818972 −0.409486 0.912316i \(-0.634292\pi\)
−0.409486 + 0.912316i \(0.634292\pi\)
\(332\) −837766. 640323.i −0.417136 0.318826i
\(333\) 413335. 238639.i 0.204264 0.117932i
\(334\) −1.85890e6 + 2.78775e6i −0.911779 + 1.36737i
\(335\) 561352. 0.273290
\(336\) −186345. + 706140.i −0.0900472 + 0.341226i
\(337\) −2.53284e6 1.46234e6i −1.21488 0.701410i −0.251060 0.967971i \(-0.580779\pi\)
−0.963818 + 0.266561i \(0.914113\pi\)
\(338\) 1.61614e6 + 104390.i 0.769462 + 0.0497014i
\(339\) 223973. + 129311.i 0.105852 + 0.0611134i
\(340\) 1.87399e6 + 243105.i 0.879163 + 0.114050i
\(341\) 366727.i 0.170788i
\(342\) 454164. 1.96692e6i 0.209965 0.909330i
\(343\) 398868.i 0.183060i
\(344\) 2.55259e6 + 2.22576e6i 1.16301 + 1.01410i
\(345\) 1.11885e6 + 645969.i 0.506086 + 0.292189i
\(346\) −16544.1 + 256131.i −0.00742940 + 0.115020i
\(347\) 2.73564e6 + 1.57942e6i 1.21965 + 0.704164i 0.964843 0.262828i \(-0.0846552\pi\)
0.254806 + 0.966992i \(0.417988\pi\)
\(348\) −442578. 338272.i −0.195903 0.149733i
\(349\) −1.02170e6 −0.449016 −0.224508 0.974472i \(-0.572077\pi\)
−0.224508 + 0.974472i \(0.572077\pi\)
\(350\) −7.36510e6 4.91112e6i −3.21373 2.14294i
\(351\) −477694. + 275797.i −0.206958 + 0.119487i
\(352\) 235625. + 266126.i 0.101360 + 0.114480i
\(353\) −384733. −0.164332 −0.0821661 0.996619i \(-0.526184\pi\)
−0.0821661 + 0.996619i \(0.526184\pi\)
\(354\) 444207. 666167.i 0.188398 0.282537i
\(355\) −2.14959e6 3.72319e6i −0.905283 1.56800i
\(356\) 197240. 1.52043e6i 0.0824840 0.635832i
\(357\) −333493. + 192542.i −0.138489 + 0.0799569i
\(358\) 865761. + 1.75141e6i 0.357018 + 0.722236i
\(359\) −942762. 544304.i −0.386070 0.222897i 0.294386 0.955687i \(-0.404885\pi\)
−0.680456 + 0.732789i \(0.738218\pi\)
\(360\) 4.40599e6 + 863399.i 1.79179 + 0.351120i
\(361\) 1.85770e6 1.63708e6i 0.750251 0.661153i
\(362\) 3.00642e6 + 2.00471e6i 1.20581 + 0.804044i
\(363\) −316715. + 548567.i −0.126154 + 0.218506i
\(364\) −1.63847e6 212553.i −0.648166 0.0840839i
\(365\) −2.79719e6 4.84488e6i −1.09898 1.90349i
\(366\) 130577. + 264153.i 0.0509524 + 0.103075i
\(367\) 2.60609e6 1.50463e6i 1.01001 0.583127i 0.0988127 0.995106i \(-0.468496\pi\)
0.911193 + 0.411979i \(0.135162\pi\)
\(368\) −2.13188e6 2.11578e6i −0.820620 0.814426i
\(369\) 2.18259e6i 0.834462i
\(370\) −83928.6 + 1.29936e6i −0.0318717 + 0.493429i
\(371\) −1.77163e6 3.06855e6i −0.668248 1.15744i
\(372\) 296090. + 711012.i 0.110934 + 0.266391i
\(373\) 1.47256e6i 0.548027i 0.961726 + 0.274014i \(0.0883514\pi\)
−0.961726 + 0.274014i \(0.911649\pi\)
\(374\) −12080.9 + 187033.i −0.00446601 + 0.0691414i
\(375\) 1.25785e6 2.17866e6i 0.461903 0.800039i
\(376\) −274844. + 94168.6i −0.100257 + 0.0343508i
\(377\) 630110. 1.09138e6i 0.228330 0.395479i
\(378\) −1.69906e6 + 839883.i −0.611615 + 0.302336i
\(379\) 2.47021e6 0.883357 0.441679 0.897173i \(-0.354383\pi\)
0.441679 + 0.897173i \(0.354383\pi\)
\(380\) 3.77709e6 + 4.00780e6i 1.34183 + 1.42379i
\(381\) 82957.0 0.0292779
\(382\) 2.89981e6 1.43344e6i 1.01674 0.502599i
\(383\) 1.72934e6 2.99530e6i 0.602396 1.04338i −0.390061 0.920789i \(-0.627546\pi\)
0.992457 0.122592i \(-0.0391206\pi\)
\(384\) 671697. + 325726.i 0.232459 + 0.112726i
\(385\) 594242. 1.02926e6i 0.204320 0.353893i
\(386\) −250579. + 3.87939e6i −0.0856005 + 1.32524i
\(387\) 4.24286e6i 1.44006i
\(388\) −2.65091e6 + 1.10393e6i −0.893955 + 0.372274i
\(389\) −777923. 1.34740e6i −0.260653 0.451464i 0.705763 0.708448i \(-0.250604\pi\)
−0.966416 + 0.256984i \(0.917271\pi\)
\(390\) 46824.1 724917.i 0.0155886 0.241339i
\(391\) 1.58374e6i 0.523893i
\(392\) −2.58550e6 506656.i −0.849826 0.166532i
\(393\) 250010. 144344.i 0.0816538 0.0471429i
\(394\) −2.08948e6 4.22694e6i −0.678105 1.37178i
\(395\) 4.75905e6 + 8.24292e6i 1.53471 + 2.65820i
\(396\) −57287.5 + 441604.i −0.0183578 + 0.141512i
\(397\) 958527. 1.66022e6i 0.305231 0.528675i −0.672082 0.740477i \(-0.734600\pi\)
0.977313 + 0.211802i \(0.0679331\pi\)
\(398\) 2.31232e6 + 1.54188e6i 0.731712 + 0.487912i
\(399\) −1.10749e6 181479.i −0.348263 0.0570681i
\(400\) −6.37407e6 + 6.42255e6i −1.99190 + 2.00705i
\(401\) 1.73728e6 + 1.00302e6i 0.539520 + 0.311492i 0.744885 0.667193i \(-0.232505\pi\)
−0.205364 + 0.978686i \(0.565838\pi\)
\(402\) 51816.2 + 104822.i 0.0159919 + 0.0323511i
\(403\) −1.50900e6 + 871219.i −0.462834 + 0.267217i
\(404\) 1.07414e6 + 139344.i 0.327422 + 0.0424751i
\(405\) 2.59688e6 + 4.49794e6i 0.786711 + 1.36262i
\(406\) 2.40232e6 3.60270e6i 0.723295 1.08471i
\(407\) −129141. −0.0386436
\(408\) 127585. + 372374.i 0.0379445 + 0.110746i
\(409\) 5.69490e6 3.28795e6i 1.68336 0.971890i 0.723963 0.689838i \(-0.242318\pi\)
0.959399 0.282052i \(-0.0910149\pi\)
\(410\) −4.95399e6 3.30337e6i −1.45545 0.970505i
\(411\) −1.32243e6 −0.386160
\(412\) 4.03213e6 5.27543e6i 1.17028 1.53114i
\(413\) 5.39024e6 + 3.11206e6i 1.55501 + 0.897785i
\(414\) 242547. 3.75505e6i 0.0695498 1.07675i
\(415\) 3.12105e6 + 1.80194e6i 0.889571 + 0.513594i
\(416\) −535281. + 1.60177e6i −0.151652 + 0.453801i
\(417\) 1.34144e6i 0.377773i
\(418\) −372526. + 399460.i −0.104284 + 0.111823i
\(419\) 5.78950e6i 1.61104i 0.592569 + 0.805520i \(0.298114\pi\)
−0.592569 + 0.805520i \(0.701886\pi\)
\(420\) 321112. 2.47531e6i 0.0888246 0.684709i
\(421\) −4.26798e6 2.46412e6i −1.17359 0.677574i −0.219068 0.975709i \(-0.570302\pi\)
−0.954523 + 0.298136i \(0.903635\pi\)
\(422\) 1.91644e6 + 123788.i 0.523860 + 0.0338373i
\(423\) −315211. 181987.i −0.0856546 0.0494527i
\(424\) −3.42629e6 + 1.17394e6i −0.925572 + 0.317125i
\(425\) −4.77123e6 −1.28132
\(426\) 496820. 745070.i 0.132640 0.198917i
\(427\) −1.98369e6 + 1.14528e6i −0.526507 + 0.303979i
\(428\) 448087. 586255.i 0.118237 0.154695i
\(429\) 72048.2 0.0189008
\(430\) −9.63034e6 6.42160e6i −2.51172 1.67484i
\(431\) 616672. + 1.06811e6i 0.159905 + 0.276963i 0.934834 0.355085i \(-0.115548\pi\)
−0.774930 + 0.632048i \(0.782215\pi\)
\(432\) 508506. + 1.86941e6i 0.131095 + 0.481943i
\(433\) −3.34659e6 + 1.93216e6i −0.857794 + 0.495248i −0.863273 0.504737i \(-0.831589\pi\)
0.00547864 + 0.999985i \(0.498256\pi\)
\(434\) −5.36718e6 + 2.65312e6i −1.36780 + 0.676134i
\(435\) 1.64880e6 + 951934.i 0.417777 + 0.241203i
\(436\) −2.40159e6 + 1.00011e6i −0.605039 + 0.251959i
\(437\) 2.92377e6 3.57137e6i 0.732385 0.894606i
\(438\) 646497. 969537.i 0.161020 0.241479i
\(439\) 1.84789e6 3.20063e6i 0.457629 0.792637i −0.541206 0.840890i \(-0.682032\pi\)
0.998835 + 0.0482528i \(0.0153653\pi\)
\(440\) −915636. 798400.i −0.225471 0.196602i
\(441\) −1.65036e6 2.85851e6i −0.404095 0.699913i
\(442\) −798295. + 394616.i −0.194360 + 0.0960769i
\(443\) 479466. 276820.i 0.116078 0.0670174i −0.440837 0.897587i \(-0.645318\pi\)
0.556915 + 0.830570i \(0.311985\pi\)
\(444\) −250379. + 104266.i −0.0602754 + 0.0251008i
\(445\) 5.24005e6i 1.25440i
\(446\) 849137. + 54847.8i 0.202135 + 0.0130564i
\(447\) −7976.77 13816.2i −0.00188825 0.00327054i
\(448\) −2.19020e6 + 5.37377e6i −0.515570 + 1.26498i
\(449\) 6.58290e6i 1.54100i 0.637443 + 0.770498i \(0.279992\pi\)
−0.637443 + 0.770498i \(0.720008\pi\)
\(450\) −1.13126e7 730705.i −2.63348 0.170103i
\(451\) 295281. 511441.i 0.0683587 0.118401i
\(452\) 1.63269e6 + 1.24790e6i 0.375886 + 0.287298i
\(453\) −554177. + 959863.i −0.126883 + 0.219768i
\(454\) 3.27427e6 + 6.62374e6i 0.745547 + 1.50822i
\(455\) 5.64686e6 1.27873
\(456\) −399737. + 1.07525e6i −0.0900247 + 0.242156i
\(457\) −2.13565e6 −0.478344 −0.239172 0.970977i \(-0.576876\pi\)
−0.239172 + 0.970977i \(0.576876\pi\)
\(458\) 941982. + 1.90560e6i 0.209835 + 0.424490i
\(459\) −510766. + 884673.i −0.113159 + 0.195998i
\(460\) 8.15602e6 + 6.23382e6i 1.79715 + 1.37360i
\(461\) −2008.12 + 3478.17i −0.000440086 + 0.000762252i −0.866245 0.499619i \(-0.833473\pi\)
0.865805 + 0.500381i \(0.166807\pi\)
\(462\) 247047. + 15957.4i 0.0538487 + 0.00347821i
\(463\) 3.03840e6i 0.658708i −0.944207 0.329354i \(-0.893169\pi\)
0.944207 0.329354i \(-0.106831\pi\)
\(464\) −3.14164e6 3.11793e6i −0.677426 0.672313i
\(465\) −1.31619e6 2.27970e6i −0.282283 0.488929i
\(466\) 1.79102e6 + 115686.i 0.382063 + 0.0246783i
\(467\) 1.68405e6i 0.357325i −0.983910 0.178663i \(-0.942823\pi\)
0.983910 0.178663i \(-0.0571771\pi\)
\(468\) −1.95319e6 + 813375.i −0.412221 + 0.171663i
\(469\) −787176. + 454476.i −0.165249 + 0.0954068i
\(470\) 890144. 440019.i 0.185873 0.0918813i
\(471\) 831987. + 1.44104e6i 0.172808 + 0.299312i
\(472\) 4.18124e6 4.79520e6i 0.863873 0.990722i
\(473\) 574013. 994219.i 0.117969 0.204329i
\(474\) −1.09993e6 + 1.64954e6i −0.224863 + 0.337222i
\(475\) −1.07592e7 8.80822e6i −2.18800 1.79124i
\(476\) −2.82469e6 + 1.17630e6i −0.571417 + 0.237958i
\(477\) −3.92953e6 2.26871e6i −0.790759 0.456545i
\(478\) 3.41280e6 1.68703e6i 0.683189 0.337716i
\(479\) −2.91226e6 + 1.68139e6i −0.579951 + 0.334835i −0.761114 0.648618i \(-0.775347\pi\)
0.181163 + 0.983453i \(0.442014\pi\)
\(480\) −2.41985e6 808671.i −0.479387 0.160202i
\(481\) −306795. 531384.i −0.0604624 0.104724i
\(482\) 5.46200e6 + 3.64212e6i 1.07086 + 0.714062i
\(483\) −2.09193e6 −0.408018
\(484\) −3.05641e6 + 3.99886e6i −0.593060 + 0.775930i
\(485\) 8.49955e6 4.90722e6i 1.64075 0.947286i
\(486\) −2.04301e6 + 3.06386e6i −0.392356 + 0.588408i
\(487\) 6.83855e6 1.30660 0.653299 0.757100i \(-0.273385\pi\)
0.653299 + 0.757100i \(0.273385\pi\)
\(488\) 758902. + 2.21496e6i 0.144257 + 0.421033i
\(489\) 204586. + 118118.i 0.0386904 + 0.0223379i
\(490\) 8.98602e6 + 580428.i 1.69074 + 0.109209i
\(491\) −126727. 73165.8i −0.0237228 0.0136963i 0.488092 0.872792i \(-0.337693\pi\)
−0.511814 + 0.859096i \(0.671026\pi\)
\(492\) 159562. 1.22999e6i 0.0297177 0.229081i
\(493\) 2.33389e6i 0.432477i
\(494\) −2.52868e6 583875.i −0.466204 0.107647i
\(495\) 1.52195e6i 0.279182i
\(496\) 1.60633e6 + 5.90532e6i 0.293177 + 1.07780i
\(497\) 6.02867e6 + 3.48065e6i 1.09479 + 0.632077i
\(498\) −48388.0 + 749129.i −0.00874308 + 0.135358i
\(499\) −7.67261e6 4.42978e6i −1.37940 0.796400i −0.387317 0.921947i \(-0.626598\pi\)
−0.992088 + 0.125547i \(0.959931\pi\)
\(500\) 1.21387e7 1.58816e7i 2.17143 2.84099i
\(501\) 2.38544e6 0.424593
\(502\) −274125. 182789.i −0.0485500 0.0323736i
\(503\) 6.90915e6 3.98900e6i 1.21760 0.702982i 0.253196 0.967415i \(-0.418518\pi\)
0.964404 + 0.264433i \(0.0851850\pi\)
\(504\) −6.87747e6 + 2.35640e6i −1.20601 + 0.413212i
\(505\) −3.70193e6 −0.645952
\(506\) −564853. + 847097.i −0.0980751 + 0.147081i
\(507\) −576485. 998501.i −0.0996020 0.172516i
\(508\) 653686. + 84800.0i 0.112385 + 0.0145793i
\(509\) −5.80531e6 + 3.35170e6i −0.993187 + 0.573417i −0.906225 0.422795i \(-0.861049\pi\)
−0.0869614 + 0.996212i \(0.527716\pi\)
\(510\) −596162. 1.20602e6i −0.101494 0.205318i
\(511\) 7.84493e6 + 4.52927e6i 1.32904 + 0.767319i
\(512\) 4.95989e6 + 3.25328e6i 0.836175 + 0.548463i
\(513\) −2.78500e6 + 1.05203e6i −0.467230 + 0.176495i
\(514\) −1.19813e6 798925.i −0.200031 0.133382i
\(515\) −1.13468e7 + 1.96533e7i −1.88520 + 3.26526i
\(516\) 310181. 2.39105e6i 0.0512850 0.395333i
\(517\) 49241.7 + 85289.2i 0.00810228 + 0.0140336i
\(518\) −934282. 1.89002e6i −0.152987 0.309487i
\(519\) 158246. 91363.3i 0.0257878 0.0148886i
\(520\) 1.10999e6 5.66435e6i 0.180015 0.918632i
\(521\) 3.34161e6i 0.539339i 0.962953 + 0.269670i \(0.0869145\pi\)
−0.962953 + 0.269670i \(0.913086\pi\)
\(522\) 357431. 5.53364e6i 0.0574137 0.888862i
\(523\) −3.20091e6 5.54413e6i −0.511704 0.886297i −0.999908 0.0135678i \(-0.995681\pi\)
0.488204 0.872730i \(-0.337652\pi\)
\(524\) 2.11759e6 881836.i 0.336909 0.140301i
\(525\) 6.30221e6i 0.997917i
\(526\) −621088. + 9.61550e6i −0.0978788 + 1.51533i
\(527\) −1.61347e6 + 2.79461e6i −0.253066 + 0.438323i
\(528\) 64568.2 244676.i 0.0100794 0.0381949i
\(529\) 1.08358e6 1.87682e6i 0.168354 0.291597i
\(530\) 1.10968e7 5.48543e6i 1.71597 0.848244i
\(531\) 7.97048e6 1.22673
\(532\) −8.54131e6 2.56211e6i −1.30841 0.392482i
\(533\) 2.80595e6 0.427820
\(534\) −978485. + 483688.i −0.148491 + 0.0734027i
\(535\) −1.26097e6 + 2.18406e6i −0.190467 + 0.329898i
\(536\) 301151. + 878949.i 0.0452764 + 0.132145i
\(537\) 695447. 1.20455e6i 0.104071 0.180256i
\(538\) −135832. + 2.10292e6i −0.0202324 + 0.313232i
\(539\) 893105.i 0.132413i
\(540\) −2.54548e6 6.11256e6i −0.375652 0.902067i
\(541\) 2.09132e6 + 3.62228e6i 0.307205 + 0.532094i 0.977750 0.209775i \(-0.0672730\pi\)
−0.670545 + 0.741869i \(0.733940\pi\)
\(542\) −131467. + 2.03533e6i −0.0192228 + 0.297602i
\(543\) 2.57255e6i 0.374424i
\(544\) 624699. + 3.06466e6i 0.0905052 + 0.444001i
\(545\) 7.70017e6 4.44569e6i 1.11048 0.641133i
\(546\) 521239. + 1.05445e6i 0.0748265 + 0.151372i
\(547\) −239528. 414875.i −0.0342286 0.0592856i 0.848404 0.529350i \(-0.177564\pi\)
−0.882632 + 0.470064i \(0.844231\pi\)
\(548\) −1.04205e7 1.35181e6i −1.48230 0.192293i
\(549\) −1.46663e6 + 2.54028e6i −0.207677 + 0.359708i
\(550\) 2.55199e6 + 1.70169e6i 0.359726 + 0.239869i
\(551\) 4.30862e6 5.26297e6i 0.604587 0.738502i
\(552\) −411205. + 2.09841e6i −0.0574395 + 0.293118i
\(553\) −1.33471e7 7.70595e6i −1.85598 1.07155i
\(554\) −2.88821e6 5.84275e6i −0.399811 0.808804i
\(555\) 802784. 463487.i 0.110628 0.0638713i
\(556\) 1.37124e6 1.05703e7i 0.188116 1.45011i
\(557\) 1.93826e6 + 3.35717e6i 0.264712 + 0.458495i 0.967488 0.252916i \(-0.0813897\pi\)
−0.702776 + 0.711411i \(0.748056\pi\)
\(558\) −4.25352e6 + 6.37891e6i −0.578313 + 0.867283i
\(559\) 5.45463e6 0.738305
\(560\) 5.06061e6 1.91767e7i 0.681919 2.58407i
\(561\) 115555. 66715.4i 0.0155017 0.00894992i
\(562\) 8.73761e6 + 5.82632e6i 1.16695 + 0.778132i
\(563\) −6.98110e6 −0.928224 −0.464112 0.885777i \(-0.653626\pi\)
−0.464112 + 0.885777i \(0.653626\pi\)
\(564\) 164331. + 125602.i 0.0217532 + 0.0166264i
\(565\) −6.08248e6 3.51172e6i −0.801603 0.462806i
\(566\) 376285. 5.82553e6i 0.0493714 0.764354i
\(567\) −7.28314e6 4.20493e6i −0.951396 0.549289i
\(568\) 4.67647e6 5.36316e6i 0.608201 0.697509i
\(569\) 1.45003e6i 0.187757i −0.995584 0.0938787i \(-0.970073\pi\)
0.995584 0.0938787i \(-0.0299266\pi\)
\(570\) 882083. 3.82018e6i 0.113716 0.492489i
\(571\) 2.09836e6i 0.269334i 0.990891 + 0.134667i \(0.0429964\pi\)
−0.990891 + 0.134667i \(0.957004\pi\)
\(572\) 567727. + 73648.9i 0.0725520 + 0.00941187i
\(573\) −1.99437e6 1.15145e6i −0.253758 0.146507i
\(574\) 9.62135e6 + 621466.i 1.21887 + 0.0787295i
\(575\) −2.24467e7 1.29596e7i −2.83128 1.63464i
\(576\) 1.01181e6 + 7.36196e6i 0.127070 + 0.924565i
\(577\) 9.52681e6 1.19126 0.595632 0.803257i \(-0.296902\pi\)
0.595632 + 0.803257i \(0.296902\pi\)
\(578\) 3.54103e6 5.31041e6i 0.440870 0.661163i
\(579\) 2.39681e6 1.38380e6i 0.297123 0.171544i
\(580\) 1.20191e7 + 9.18649e6i 1.48355 + 1.13391i
\(581\) −5.83547e6 −0.717192
\(582\) 1.70089e6 + 1.13417e6i 0.208147 + 0.138794i
\(583\) 613864. + 1.06324e6i 0.0747999 + 0.129557i
\(584\) 6.08535e6 6.97892e6i 0.738336 0.846752i
\(585\) 6.26246e6 3.61563e6i 0.756581 0.436812i
\(586\) −2.90844e6 + 1.43771e6i −0.349878 + 0.172953i
\(587\) 6.05280e6 + 3.49458e6i 0.725038 + 0.418601i 0.816604 0.577198i \(-0.195854\pi\)
−0.0915661 + 0.995799i \(0.529187\pi\)
\(588\) 721079. + 1.73155e6i 0.0860082 + 0.206535i
\(589\) −8.79757e6 + 3.32326e6i −1.04490 + 0.394708i
\(590\) −1.20634e7 + 1.80912e7i −1.42672 + 2.13962i
\(591\) −1.67843e6 + 2.90713e6i −0.197667 + 0.342370i
\(592\) −2.07952e6 + 565659.i −0.243871 + 0.0663362i
\(593\) −13576.3 23514.8i −0.00158542 0.00274602i 0.865232 0.501372i \(-0.167171\pi\)
−0.866817 + 0.498626i \(0.833838\pi\)
\(594\) 588719. 291017.i 0.0684608 0.0338418i
\(595\) 9.05672e6 5.22890e6i 1.04877 0.605506i
\(596\) −48732.4 117023.i −0.00561956 0.0134945i
\(597\) 1.97862e6i 0.227209i
\(598\) −4.82750e6 311820.i −0.552038 0.0356575i
\(599\) −670686. 1.16166e6i −0.0763752 0.132286i 0.825308 0.564682i \(-0.191001\pi\)
−0.901683 + 0.432397i \(0.857668\pi\)
\(600\) 6.32173e6 + 1.23881e6i 0.716898 + 0.140484i
\(601\) 1.09584e6i 0.123754i 0.998084 + 0.0618771i \(0.0197087\pi\)
−0.998084 + 0.0618771i \(0.980291\pi\)
\(602\) 1.87035e7 + 1.20810e6i 2.10345 + 0.135866i
\(603\) −581994. + 1.00804e6i −0.0651816 + 0.112898i
\(604\) −5.34800e6 + 6.99706e6i −0.596485 + 0.780410i
\(605\) 8.60108e6 1.48975e7i 0.955355 1.65472i
\(606\) −341710. 691269.i −0.0377987 0.0764655i
\(607\) −7.00239e6 −0.771391 −0.385695 0.922626i \(-0.626038\pi\)
−0.385695 + 0.922626i \(0.626038\pi\)
\(608\) −4.24899e6 + 8.06413e6i −0.466151 + 0.884705i
\(609\) −3.08278e6 −0.336821
\(610\) −3.54610e6 7.17365e6i −0.385857 0.780576i
\(611\) −233963. + 405236.i −0.0253539 + 0.0439142i
\(612\) −2.37945e6 + 3.11315e6i −0.256802 + 0.335987i
\(613\) 1.08004e6 1.87068e6i 0.116088 0.201071i −0.802126 0.597155i \(-0.796298\pi\)
0.918214 + 0.396084i \(0.129631\pi\)
\(614\) 4.42950e6 + 286112.i 0.474170 + 0.0306277i
\(615\) 4.23906e6i 0.451941i
\(616\) 1.93038e6 + 378277.i 0.204970 + 0.0401660i
\(617\) 930657. + 1.61195e6i 0.0984185 + 0.170466i 0.911030 0.412340i \(-0.135288\pi\)
−0.812612 + 0.582806i \(0.801955\pi\)
\(618\) −4.71728e6 304700.i −0.496845 0.0320924i
\(619\) 6.22804e6i 0.653318i −0.945142 0.326659i \(-0.894077\pi\)
0.945142 0.326659i \(-0.105923\pi\)
\(620\) −8.04096e6 1.93091e7i −0.840096 2.01735i
\(621\) −4.80589e6 + 2.77468e6i −0.500086 + 0.288725i
\(622\) −2.99621e6 + 1.48110e6i −0.310525 + 0.153500i
\(623\) −4.24240e6 7.34805e6i −0.437916 0.758493i
\(624\) 1.16017e6 315583.i 0.119278 0.0324453i
\(625\) −2.03525e7 + 3.52515e7i −2.08409 + 3.60976i
\(626\) 1.07393e6 1.61055e6i 0.109532 0.164263i
\(627\) 383742. + 62881.9i 0.0389826 + 0.00638788i
\(628\) 5.08284e6 + 1.22056e7i 0.514290 + 1.23498i
\(629\) −984106. 568174.i −0.0991780 0.0572604i
\(630\) 2.22743e7 1.10107e7i 2.23590 1.10526i
\(631\) −3.43366e6 + 1.98242e6i −0.343308 + 0.198209i −0.661734 0.749739i \(-0.730179\pi\)
0.318426 + 0.947948i \(0.396846\pi\)
\(632\) −1.03534e7 + 1.18737e7i −1.03108 + 1.18248i
\(633\) −683605. 1.18404e6i −0.0678103 0.117451i
\(634\) −7.66080e6 5.10829e6i −0.756921 0.504722i
\(635\) −2.25288e6 −0.221719
\(636\) 2.04861e6 + 1.56580e6i 0.200824 + 0.153494i
\(637\) −3.67491e6 + 2.12171e6i −0.358838 + 0.207175i
\(638\) −832397. + 1.24833e6i −0.0809615 + 0.121416i
\(639\) 8.91452e6 0.863666
\(640\) −1.82414e7 8.84580e6i −1.76039 0.853664i
\(641\) 2.02946e6 + 1.17171e6i 0.195090 + 0.112636i 0.594363 0.804197i \(-0.297404\pi\)
−0.399273 + 0.916832i \(0.630737\pi\)
\(642\) −524228. 33861.1i −0.0501976 0.00324238i
\(643\) −3.81707e6 2.20379e6i −0.364085 0.210205i 0.306786 0.951778i \(-0.400746\pi\)
−0.670871 + 0.741574i \(0.734080\pi\)
\(644\) −1.64840e7 2.13841e6i −1.56621 0.203178i
\(645\) 8.24054e6i 0.779931i
\(646\) −4.59628e6 + 1.40507e6i −0.433336 + 0.132469i
\(647\) 2.24473e6i 0.210816i −0.994429 0.105408i \(-0.966385\pi\)
0.994429 0.105408i \(-0.0336149\pi\)
\(648\) −5.64957e6 + 6.47915e6i −0.528540 + 0.606150i
\(649\) −1.86770e6 1.07832e6i −0.174059 0.100493i
\(650\) −939397. + 1.45435e7i −0.0872099 + 1.35016i
\(651\) 3.69134e6 + 2.13119e6i 0.341375 + 0.197093i
\(652\) 1.49136e6 + 1.13988e6i 0.137392 + 0.105012i
\(653\) −5.15559e6 −0.473146 −0.236573 0.971614i \(-0.576024\pi\)
−0.236573 + 0.971614i \(0.576024\pi\)
\(654\) 1.54092e6 + 1.02750e6i 0.140876 + 0.0939375i
\(655\) −6.78957e6 + 3.91996e6i −0.618356 + 0.357008i
\(656\) 2.51463e6 9.52899e6i 0.228147 0.864544i
\(657\) 1.16002e7 1.04846
\(658\) −891993. + 1.33770e6i −0.0803150 + 0.120447i
\(659\) 9.66959e6 + 1.67482e7i 0.867351 + 1.50230i 0.864694 + 0.502299i \(0.167512\pi\)
0.00265631 + 0.999996i \(0.499154\pi\)
\(660\) −111264. + 857688.i −0.00994252 + 0.0766425i
\(661\) −5.15993e6 + 2.97909e6i −0.459347 + 0.265204i −0.711769 0.702413i \(-0.752106\pi\)
0.252423 + 0.967617i \(0.418773\pi\)
\(662\) 4.09216e6 + 8.27831e6i 0.362918 + 0.734171i
\(663\) 549036. + 316986.i 0.0485084 + 0.0280064i
\(664\) −1.14706e6 + 5.85354e6i −0.100964 + 0.515227i
\(665\) 3.00763e7 + 4.92844e6i 2.63736 + 0.432171i
\(666\) −2.24630e6 1.49785e6i −0.196237 0.130853i
\(667\) 6.33929e6 1.09800e7i 0.551729 0.955623i
\(668\) 1.87968e7 + 2.43843e6i 1.62983 + 0.211431i
\(669\) −302891. 524623.i −0.0261651 0.0453192i
\(670\) −1.40718e6 2.84668e6i −0.121105 0.244992i
\(671\) 687343. 396838.i 0.0589342 0.0340257i
\(672\) 4.04803e6 825151.i 0.345797 0.0704872i
\(673\) 7.93595e6i 0.675400i −0.941254 0.337700i \(-0.890351\pi\)
0.941254 0.337700i \(-0.109649\pi\)
\(674\) −1.06642e6 + 1.65100e7i −0.0904231 + 1.39990i
\(675\) 8.35908e6 + 1.44784e7i 0.706154 + 1.22309i
\(676\) −3.52191e6 8.45730e6i −0.296423 0.711812i
\(677\) 1.37549e6i 0.115341i −0.998336 0.0576707i \(-0.981633\pi\)
0.998336 0.0576707i \(-0.0183673\pi\)
\(678\) 94301.3 1.45995e6i 0.00787850 0.121973i
\(679\) −7.94586e6 + 1.37626e7i −0.661404 + 1.14559i
\(680\) −3.46484e6 1.01126e7i −0.287350 0.838669i
\(681\) 2.63015e6 4.55555e6i 0.217327 0.376421i
\(682\) 1.85971e6 919300.i 0.153103 0.0756826i
\(683\) 1.35393e7 1.11057 0.555285 0.831660i \(-0.312609\pi\)
0.555285 + 0.831660i \(0.312609\pi\)
\(684\) −1.11129e7 + 2.62750e6i −0.908216 + 0.214734i
\(685\) 3.59133e7 2.92435
\(686\) 2.02270e6 999869.i 0.164105 0.0811209i
\(687\) 756674. 1.31060e6i 0.0611669 0.105944i
\(688\) 4.88833e6 1.85239e7i 0.393722 1.49198i
\(689\) −2.91666e6 + 5.05181e6i −0.234066 + 0.405414i
\(690\) 471079. 7.29310e6i 0.0376678 0.583163i
\(691\) 2.13347e7i 1.69977i −0.526966 0.849887i \(-0.676670\pi\)
0.526966 0.849887i \(-0.323330\pi\)
\(692\) 1.34034e6 558164.i 0.106402 0.0443095i
\(693\) 1.23219e6 + 2.13421e6i 0.0974638 + 0.168812i
\(694\) 1.15181e6 1.78319e7i 0.0907781 1.40540i
\(695\) 3.64296e7i 2.86083i
\(696\) −605973. + 3.09233e6i −0.0474166 + 0.241970i
\(697\) 4.50032e6 2.59826e6i 0.350882 0.202582i
\(698\) 2.56117e6 + 5.18117e6i 0.198976 + 0.402522i
\(699\) −638864. 1.10655e6i −0.0494556 0.0856597i
\(700\) −6.44223e6 + 4.96603e7i −0.496925 + 3.83057i
\(701\) 7.00091e6 1.21259e7i 0.538096 0.932010i −0.460911 0.887447i \(-0.652477\pi\)
0.999007 0.0445630i \(-0.0141895\pi\)
\(702\) 2.59606e6 + 1.73108e6i 0.198826 + 0.132579i
\(703\) −1.17027e6 3.09801e6i −0.0893093 0.236426i
\(704\) 758897. 1.86200e6i 0.0577100 0.141595i
\(705\) −612207. 353458.i −0.0463901 0.0267833i
\(706\) 964436. + 1.95102e6i 0.0728219 + 0.147316i
\(707\) 5.19117e6 2.99712e6i 0.390586 0.225505i
\(708\) −4.49173e6 582694.i −0.336768 0.0436875i
\(709\) 7.01897e6 + 1.21572e7i 0.524394 + 0.908277i 0.999597 + 0.0284008i \(0.00904146\pi\)
−0.475203 + 0.879876i \(0.657625\pi\)
\(710\) −1.34922e7 + 2.02340e7i −1.00447 + 1.50638i
\(711\) −1.97362e7 −1.46416
\(712\) −8.20472e6 + 2.81115e6i −0.606546 + 0.207818i
\(713\) −1.51814e7 + 8.76499e6i −1.11838 + 0.645695i
\(714\) 1.81239e6 + 1.20852e6i 0.133048 + 0.0887174i
\(715\) −1.95662e6 −0.143134
\(716\) 6.71131e6 8.78073e6i 0.489243 0.640101i
\(717\) −2.34719e6 1.35515e6i −0.170510 0.0984441i
\(718\) −396938. + 6.14529e6i −0.0287351 + 0.444868i
\(719\) −1.11491e7 6.43693e6i −0.804299 0.464362i 0.0406733 0.999172i \(-0.487050\pi\)
−0.844972 + 0.534810i \(0.820383\pi\)
\(720\) −6.66640e6 2.45076e7i −0.479248 1.76185i
\(721\) 3.67461e7i 2.63253i
\(722\) −1.29586e7 5.31679e6i −0.925158 0.379583i
\(723\) 4.67375e6i 0.332522i
\(724\) 2.62970e6 2.02712e7i 0.186449 1.43725i
\(725\) −3.30786e7 1.90979e7i −2.33723 1.34940i
\(726\) 3.57577e6 + 230968.i 0.251784 + 0.0162633i
\(727\) 1.92785e7 + 1.11305e7i 1.35281 + 0.781046i 0.988642 0.150287i \(-0.0480197\pi\)
0.364169 + 0.931333i \(0.381353\pi\)
\(728\) 3.02939e6 + 8.84169e6i 0.211849 + 0.618311i
\(729\) −8.91801e6 −0.621512
\(730\) −1.75570e7 + 2.63299e7i −1.21939 + 1.82870i
\(731\) 8.74842e6 5.05090e6i 0.605530 0.349603i
\(732\) 1.01222e6 1.32434e6i 0.0698230 0.0913528i
\(733\) −2.32106e7 −1.59561 −0.797804 0.602917i \(-0.794005\pi\)
−0.797804 + 0.602917i \(0.794005\pi\)
\(734\) −1.41630e7 9.44401e6i −0.970319 0.647018i
\(735\) −3.20536e6 5.55184e6i −0.218856 0.379069i
\(736\) −5.38525e6 + 1.61147e7i −0.366447 + 1.09655i
\(737\) 272754. 157475.i 0.0184971 0.0106793i
\(738\) 1.10682e7 5.47125e6i 0.748057 0.369782i
\(739\) 1.66903e7 + 9.63613e6i 1.12422 + 0.649070i 0.942475 0.334275i \(-0.108492\pi\)
0.181747 + 0.983345i \(0.441825\pi\)
\(740\) 6.79958e6 2.83158e6i 0.456460 0.190086i
\(741\) 652897. + 1.72839e6i 0.0436816 + 0.115637i
\(742\) −1.11199e7 + 1.66762e7i −0.741464 + 1.11196i
\(743\) 8.35960e6 1.44792e7i 0.555538 0.962219i −0.442324 0.896855i \(-0.645846\pi\)
0.997861 0.0653639i \(-0.0208208\pi\)
\(744\) 2.86339e6 3.28385e6i 0.189648 0.217496i
\(745\) 216626. + 375208.i 0.0142995 + 0.0247675i
\(746\) 7.46753e6 3.69138e6i 0.491281 0.242852i
\(747\) −6.47163e6 + 3.73640e6i −0.424338 + 0.244992i
\(748\) 978746. 407584.i 0.0639611 0.0266356i
\(749\) 4.08356e6i 0.265971i
\(750\) −1.42013e7 917298.i −0.921884 0.0595467i
\(751\) −1.00966e7 1.74878e7i −0.653242 1.13145i −0.982332 0.187149i \(-0.940075\pi\)
0.329090 0.944299i \(-0.393258\pi\)
\(752\) 1.16651e6 + 1.15770e6i 0.0752217 + 0.0746539i
\(753\) 234564.i 0.0150756i
\(754\) −7.11406e6 459514.i −0.455711 0.0294354i
\(755\) 1.50499e7 2.60671e7i 0.960871 1.66428i
\(756\) 8.51828e6 + 6.51070e6i 0.542060 + 0.414308i
\(757\) 6.17824e6 1.07010e7i 0.391855 0.678713i −0.600839 0.799370i \(-0.705167\pi\)
0.992694 + 0.120657i \(0.0385002\pi\)
\(758\) −6.19225e6 1.25267e7i −0.391449 0.791889i
\(759\) 724848. 0.0456712
\(760\) 1.08557e7 2.92006e7i 0.681748 1.83383i
\(761\) 9.76295e6 0.611110 0.305555 0.952174i \(-0.401158\pi\)
0.305555 + 0.952174i \(0.401158\pi\)
\(762\) −207954. 420684.i −0.0129742 0.0262463i
\(763\) −7.19856e6 + 1.24683e7i −0.447645 + 0.775344i
\(764\) −1.45383e7 1.11119e7i −0.901113 0.688740i
\(765\) 6.69604e6 1.15979e7i 0.413680 0.716514i
\(766\) −1.95245e7 1.26113e6i −1.20229 0.0776585i
\(767\) 1.02469e7i 0.628931i
\(768\) −31995.7 4.22277e6i −0.00195744 0.258342i
\(769\)