Properties

Label 76.6.f.a.27.2
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 27.2
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.64509 + 0.364630i) q^{2} +(2.01363 - 3.48771i) q^{3} +(31.7341 - 4.11673i) q^{4} +(54.6845 - 94.7163i) q^{5} +(-10.0954 + 20.4227i) q^{6} -177.092i q^{7} +(-177.641 + 34.8105i) q^{8} +(113.391 + 196.398i) q^{9} +O(q^{10})\) \(q+(-5.64509 + 0.364630i) q^{2} +(2.01363 - 3.48771i) q^{3} +(31.7341 - 4.11673i) q^{4} +(54.6845 - 94.7163i) q^{5} +(-10.0954 + 20.4227i) q^{6} -177.092i q^{7} +(-177.641 + 34.8105i) q^{8} +(113.391 + 196.398i) q^{9} +(-274.162 + 554.621i) q^{10} +61.3620i q^{11} +(49.5428 - 118.969i) q^{12} +(252.490 - 145.775i) q^{13} +(64.5731 + 999.702i) q^{14} +(-220.229 - 381.447i) q^{15} +(990.105 - 261.282i) 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} +(-22.3744 - 346.394i) q^{22} +(-2540.20 + 1466.59i) q^{23} +(-236.294 + 689.655i) q^{24} +(-4418.28 - 7652.69i) q^{25} +(-1372.18 + 914.980i) q^{26} +1891.93 q^{27} +(-729.042 - 5619.86i) q^{28} +(3743.38 - 2161.24i) q^{29} +(1382.30 + 2073.00i) q^{30} +5976.45 q^{31} +(-5493.96 + 1835.98i) q^{32} +(214.013 + 123.560i) q^{33} +(-1353.51 + 2738.10i) q^{34} +(-16773.5 - 9684.20i) q^{35} +(4406.87 + 5765.72i) q^{36} -2104.57i q^{37} +(8107.03 - 3675.75i) q^{38} -1174.15i q^{39} +(-6417.06 + 18729.1i) q^{40} +(8334.82 + 4812.11i) q^{41} +(3616.70 + 1787.82i) q^{42} +(-16202.5 - 9354.53i) q^{43} +(252.611 + 1947.27i) q^{44} +24802.8 q^{45} +(13804.9 - 9205.25i) q^{46} +(1389.93 - 802.479i) q^{47} +(1082.43 - 3979.32i) q^{48} -14554.7 q^{49} +(27732.0 + 41589.1i) q^{50} +(-1087.24 - 1883.16i) q^{51} +(7412.42 - 5665.48i) q^{52} +(-17327.4 + 10004.0i) q^{53} +(-10680.1 + 689.854i) 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} +(-8559.07 - 11198.3i) q^{60} +(6467.16 + 11201.4i) q^{61} +(-33737.6 + 2179.19i) q^{62} +(34780.6 - 20080.6i) q^{63} +(30344.5 - 12367.5i) q^{64} -31886.6i q^{65} +(-1253.18 - 619.474i) q^{66} +(-2566.32 - 4445.01i) q^{67} +(6642.28 - 15950.4i) q^{68} +11812.7i q^{69} +(98219.2 + 48552.0i) q^{70} +(-19654.5 + 34042.5i) q^{71} +(-26979.5 - 30941.1i) q^{72} +(25575.8 - 44298.5i) q^{73} +(767.390 + 11880.5i) q^{74} -35587.1 q^{75} +(-44424.7 + 23706.0i) q^{76} +10866.7 q^{77} +(428.130 + 6628.18i) q^{78} +(43513.7 - 75368.0i) q^{79} +(29395.7 - 108067. i) q^{80} +(-23744.3 + 41126.3i) q^{81} +(-48805.5 - 24125.7i) q^{82} -32951.6i q^{83} +(-21068.5 - 8773.64i) q^{84} +(-29526.4 - 51141.3i) q^{85} +(94875.6 + 46899.2i) q^{86} -17407.8i q^{87} +(-2136.04 - 10900.4i) q^{88} +(-41492.7 + 23955.8i) q^{89} +(-140014. + 9043.84i) q^{90} +(-25815.7 - 44714.0i) q^{91} +(-74573.5 + 56998.1i) 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} +(82162.5 - 5307.07i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.64509 + 0.364630i −0.997920 + 0.0644580i
\(3\) 2.01363 3.48771i 0.129174 0.223737i −0.794183 0.607679i \(-0.792101\pi\)
0.923357 + 0.383943i \(0.125434\pi\)
\(4\) 31.7341 4.11673i 0.991690 0.128648i
\(5\) 54.6845 94.7163i 0.978225 1.69434i 0.309373 0.950941i \(-0.399881\pi\)
0.668852 0.743395i \(-0.266786\pi\)
\(6\) −10.0954 + 20.4227i −0.114484 + 0.231598i
\(7\) 177.092i 1.36601i −0.730413 0.683006i \(-0.760672\pi\)
0.730413 0.683006i \(-0.239328\pi\)
\(8\) −177.641 + 34.8105i −0.981336 + 0.192303i
\(9\) 113.391 + 196.398i 0.466628 + 0.808223i
\(10\) −274.162 + 554.621i −0.866978 + 1.75387i
\(11\) 61.3620i 0.152904i 0.997073 + 0.0764518i \(0.0243591\pi\)
−0.997073 + 0.0764518i \(0.975641\pi\)
\(12\) 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 \(0.256437\pi\)
\(14\) 64.5731 + 999.702i 0.0880505 + 1.36317i
\(15\) −220.229 381.447i −0.252723 0.437730i
\(16\) 990.105 261.282i 0.966899 0.255158i
\(17\) 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
\(22\) −22.3744 346.394i −0.00985587 0.152586i
\(23\) −2540.20 + 1466.59i −1.00126 + 0.578080i −0.908622 0.417619i \(-0.862865\pi\)
−0.0926422 + 0.995699i \(0.529531\pi\)
\(24\) −236.294 + 689.655i −0.0837383 + 0.244401i
\(25\) −4418.28 7652.69i −1.41385 2.44886i
\(26\) −1372.18 + 914.980i −0.398085 + 0.265447i
\(27\) 1891.93 0.499455
\(28\) −729.042 5619.86i −0.175735 1.35466i
\(29\) 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 \(-0.311384\pi\)
0.558482 + 0.829516i \(0.311384\pi\)
\(32\) −5493.96 + 1835.98i −0.948442 + 0.316952i
\(33\) 214.013 + 123.560i 0.0342102 + 0.0197513i
\(34\) −1353.51 + 2738.10i −0.200800 + 0.406212i
\(35\) −16773.5 9684.20i −2.31448 1.33627i
\(36\) 4406.87 + 5765.72i 0.566727 + 0.741476i
\(37\) 2104.57i 0.252732i −0.991984 0.126366i \(-0.959669\pi\)
0.991984 0.126366i \(-0.0403313\pi\)
\(38\) 8107.03 3675.75i 0.910758 0.412940i
\(39\) 1174.15i 0.123612i
\(40\) −6417.06 + 18729.1i −0.634142 + 1.85083i
\(41\) 8334.82 + 4812.11i 0.774349 + 0.447071i 0.834424 0.551123i \(-0.185801\pi\)
−0.0600749 + 0.998194i \(0.519134\pi\)
\(42\) 3616.70 + 1787.82i 0.316365 + 0.156387i
\(43\) −16202.5 9354.53i −1.33632 0.771526i −0.350063 0.936726i \(-0.613840\pi\)
−0.986260 + 0.165200i \(0.947173\pi\)
\(44\) 252.611 + 1947.27i 0.0196707 + 0.151633i
\(45\) 24802.8 1.82587
\(46\) 13804.9 9205.25i 0.961920 0.641418i
\(47\) 1389.93 802.479i 0.0917804 0.0529894i −0.453407 0.891303i \(-0.649792\pi\)
0.545188 + 0.838314i \(0.316458\pi\)
\(48\) 1082.43 3979.32i 0.0678105 0.249291i
\(49\) −14554.7 −0.865989
\(50\) 27732.0 + 41589.1i 1.56876 + 2.35263i
\(51\) −1087.24 1883.16i −0.0585331 0.101382i
\(52\) 7412.42 5665.48i 0.380147 0.290555i
\(53\) −17327.4 + 10004.0i −0.847312 + 0.489196i −0.859743 0.510727i \(-0.829376\pi\)
0.0124308 + 0.999923i \(0.496043\pi\)
\(54\) −10680.1 + 689.854i −0.498416 + 0.0321939i
\(55\) 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 \(0.394939\pi\)
−0.981330 + 0.192333i \(0.938395\pi\)
\(60\) −8559.07 11198.3i −0.306937 0.401580i
\(61\) 6467.16 + 11201.4i 0.222530 + 0.385433i 0.955576 0.294746i \(-0.0952351\pi\)
−0.733045 + 0.680180i \(0.761902\pi\)
\(62\) −33737.6 + 2179.19i −1.11464 + 0.0719973i
\(63\) 34780.6 20080.6i 1.10404 0.637419i
\(64\) 30344.5 12367.5i 0.926039 0.377427i
\(65\) 31886.6i 0.936104i
\(66\) −1253.18 619.474i −0.0354122 0.0175051i
\(67\) −2566.32 4445.01i −0.0698433 0.120972i 0.828989 0.559265i \(-0.188917\pi\)
−0.898832 + 0.438293i \(0.855583\pi\)
\(68\) 6642.28 15950.4i 0.174199 0.418310i
\(69\) 11812.7i 0.298693i
\(70\) 98219.2 + 48552.0i 2.39580 + 1.18430i
\(71\) −19654.5 + 34042.5i −0.462717 + 0.801449i −0.999095 0.0425285i \(-0.986459\pi\)
0.536378 + 0.843978i \(0.319792\pi\)
\(72\) −26979.5 30941.1i −0.613342 0.703404i
\(73\) 25575.8 44298.5i 0.561722 0.972931i −0.435624 0.900129i \(-0.643472\pi\)
0.997346 0.0728028i \(-0.0231944\pi\)
\(74\) 767.390 + 11880.5i 0.0162906 + 0.252206i
\(75\) −35587.1 −0.730533
\(76\) −44424.7 + 23706.0i −0.882247 + 0.470787i
\(77\) 10866.7 0.208868
\(78\) 428.130 + 6628.18i 0.00796781 + 0.123355i
\(79\) 43513.7 75368.0i 0.784438 1.35869i −0.144896 0.989447i \(-0.546285\pi\)
0.929334 0.369240i \(-0.120382\pi\)
\(80\) 29395.7 108067.i 0.513522 1.88785i
\(81\) −23744.3 + 41126.3i −0.402111 + 0.696477i
\(82\) −48805.5 24125.7i −0.801556 0.396228i
\(83\) 32951.6i 0.525026i −0.964928 0.262513i \(-0.915449\pi\)
0.964928 0.262513i \(-0.0845513\pi\)
\(84\) −21068.5 8773.64i −0.325788 0.135669i
\(85\) −29526.4 51141.3i −0.443265 0.767758i
\(86\) 94875.6 + 46899.2i 1.38327 + 0.683785i
\(87\) 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 \(0.437211\pi\)
\(90\) −140014. + 9043.84i −1.82207 + 0.117692i
\(91\) −25815.7 44714.0i −0.326798 0.566031i
\(92\) −74573.5 + 56998.1i −0.918575 + 0.702087i
\(93\) 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 \(0.505783\pi\)
\(98\) 82162.5 5307.07i 0.864188 0.0558200i
\(99\) −12051.4 + 6957.88i −0.123580 + 0.0713491i
\(100\) −171714. 224662.i −1.71714 2.24662i
\(101\) −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 \(-0.0861700\pi\)
0.963581 + 0.267417i \(0.0861700\pi\)
\(104\) −39778.0 + 34684.9i −0.360628 + 0.314454i
\(105\) −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 \(-0.468962\pi\)
0.0973532 + 0.995250i \(0.468962\pi\)
\(108\) 60038.7 7788.58i 0.495304 0.0642538i
\(109\) 70405.5 + 40648.6i 0.567597 + 0.327702i 0.756189 0.654353i \(-0.227059\pi\)
−0.188592 + 0.982056i \(0.560392\pi\)
\(110\) −34032.7 16823.2i −0.268173 0.132564i
\(111\) −7340.15 4237.84i −0.0565454 0.0326465i
\(112\) −46271.0 175340.i −0.348549 1.32080i
\(113\) 64217.9i 0.473107i −0.971618 0.236554i \(-0.923982\pi\)
0.971618 0.236554i \(-0.0760179\pi\)
\(114\) 3504.61 35676.6i 0.0252568 0.257111i
\(115\) 320798.i 2.26197i
\(116\) 109895. 83995.5i 0.758289 0.579577i
\(117\) 57260.0 + 33059.1i 0.386711 + 0.223268i
\(118\) 88103.2 178230.i 0.582487 1.17835i
\(119\) −82808.9 47809.8i −0.536056 0.309492i
\(120\) 52400.0 + 60094.3i 0.332183 + 0.380961i
\(121\) 157286. 0.976620
\(122\) −40592.1 60875.0i −0.246912 0.370288i
\(123\) 33566.5 19379.6i 0.200052 0.115500i
\(124\) 189657. 24603.5i 1.10768 0.143695i
\(125\) −624667. −3.57580
\(126\) −189018. + 126039.i −1.06066 + 0.707258i
\(127\) 10299.4 + 17839.1i 0.0566636 + 0.0981442i 0.892966 0.450125i \(-0.148620\pi\)
−0.836302 + 0.548269i \(0.815287\pi\)
\(128\) −166788. + 80880.3i −0.899785 + 0.436333i
\(129\) −65251.8 + 37673.1i −0.345238 + 0.199323i
\(130\) 11626.8 + 180002.i 0.0603394 + 0.934158i
\(131\) 62079.5 + 35841.6i 0.316060 + 0.182477i 0.649635 0.760246i \(-0.274922\pi\)
−0.333575 + 0.942724i \(0.608255\pi\)
\(132\) 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
\(136\) −31680.3 + 92463.2i −0.146873 + 0.428669i
\(137\) 164184. + 284376.i 0.747361 + 1.29447i 0.949083 + 0.315025i \(0.102013\pi\)
−0.201722 + 0.979443i \(0.564654\pi\)
\(138\) −4307.24 66683.5i −0.0192532 0.298072i
\(139\) 288464. 166545.i 1.26635 0.731129i 0.292056 0.956401i \(-0.405661\pi\)
0.974296 + 0.225272i \(0.0723272\pi\)
\(140\) −572160. 238267.i −2.46716 1.02741i
\(141\) 6463.59i 0.0273795i
\(142\) 98538.3 199340.i 0.410095 0.829608i
\(143\) 8945.06 + 15493.3i 0.0365800 + 0.0633583i
\(144\) 163584. + 164828.i 0.657407 + 0.662407i
\(145\) 472745.i 1.86727i
\(146\) −128225. + 259395.i −0.497841 + 1.00712i
\(147\) −29307.8 + 50762.5i −0.111864 + 0.193754i
\(148\) −8663.97 66786.7i −0.0325134 0.250632i
\(149\) −1980.69 + 3430.66i −0.00730890 + 0.0126594i −0.869657 0.493657i \(-0.835660\pi\)
0.862348 + 0.506316i \(0.168993\pi\)
\(150\) 200893. 12976.1i 0.729014 0.0470887i
\(151\) −275213. −0.982260 −0.491130 0.871086i \(-0.663416\pi\)
−0.491130 + 0.871086i \(0.663416\pi\)
\(152\) 242137. 150021.i 0.850066 0.526676i
\(153\) 122449. 0.422888
\(154\) −61343.7 + 3962.34i −0.208434 + 0.0134632i
\(155\) 326819. 566067.i 1.09264 1.89251i
\(156\) −4833.66 37260.6i −0.0159025 0.122585i
\(157\) 206589. 357822.i 0.668894 1.15856i −0.309320 0.950958i \(-0.600101\pi\)
0.978214 0.207600i \(-0.0665654\pi\)
\(158\) −218158. + 441326.i −0.695229 + 1.40642i
\(159\) 80577.2i 0.252767i
\(160\) −126537. + 620767.i −0.390767 + 1.91703i
\(161\) 259721. + 449850.i 0.789665 + 1.36774i
\(162\) 119043. 240819.i 0.356381 0.720948i
\(163\) 58659.1i 0.172928i 0.996255 + 0.0864642i \(0.0275568\pi\)
−0.996255 + 0.0864642i \(0.972443\pi\)
\(164\) 284308. + 118396.i 0.825429 + 0.343737i
\(165\) 23406.4 13513.7i 0.0669305 0.0386424i
\(166\) 12015.1 + 186015.i 0.0338422 + 0.523934i
\(167\) 296161. + 512966.i 0.821744 + 1.42330i 0.904382 + 0.426723i \(0.140332\pi\)
−0.0826383 + 0.996580i \(0.526335\pi\)
\(168\) 122133. + 41845.8i 0.333855 + 0.114388i
\(169\) −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 \(0.685021\pi\)
\(174\) 6347.38 + 98268.3i 0.0158936 + 0.246060i
\(175\) −1.35523e6 + 782444.i −3.34517 + 1.93134i
\(176\) 16032.8 + 60754.8i 0.0390146 + 0.147842i
\(177\) 70771.4 + 122580.i 0.169795 + 0.294093i
\(178\) 225495. 150362.i 0.533442 0.355704i
\(179\) 345370. 0.805660 0.402830 0.915275i \(-0.368027\pi\)
0.402830 + 0.915275i \(0.368027\pi\)
\(180\) 787095. 102107.i 1.81070 0.234894i
\(181\) −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
\(184\) 400191. 348951.i 0.871410 0.759837i
\(185\) −199337. 115088.i −0.428213 0.247229i
\(186\) −60334.7 + 122055.i −0.127875 + 0.258687i
\(187\) 28693.1 + 16566.0i 0.0600030 + 0.0346428i
\(188\) 40804.7 31187.9i 0.0842007 0.0643565i
\(189\) 335047.i 0.682261i
\(190\) 95175.2 968875.i 0.191267 1.94708i
\(191\) 571829.i 1.13418i −0.823655 0.567091i \(-0.808069\pi\)
0.823655 0.567091i \(-0.191931\pi\)
\(192\) 17968.1 130736.i 0.0351763 0.255943i
\(193\) −595146. 343607.i −1.15009 0.664002i −0.201177 0.979555i \(-0.564477\pi\)
−0.948908 + 0.315553i \(0.897810\pi\)
\(194\) −455066. 224950.i −0.868100 0.429122i
\(195\) −111211. 64207.7i −0.209441 0.120921i
\(196\) −461880. + 59917.8i −0.858793 + 0.111408i
\(197\) 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 −0.0682444 0.997669i \(-0.521740\pi\)
0.829884 + 0.557936i \(0.188406\pi\)
\(200\) 1.05126e6 + 1.20563e6i 1.85838 + 2.13127i
\(201\) −20670.5 −0.0360879
\(202\) 106226. + 159305.i 0.183170 + 0.274696i
\(203\) −382739. 662923.i −0.651872 1.12908i
\(204\) −42255.2 55284.5i −0.0710893 0.0930096i
\(205\) 911570. 526295.i 1.51498 0.874671i
\(206\) −1.17134e6 + 75659.5i −1.92315 + 0.124221i
\(207\) −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 −0.704423 0.709780i \(-0.748794\pi\)
0.966899 + 0.255159i \(0.0821277\pi\)
\(212\) −508685. + 388799.i −0.777337 + 0.594136i
\(213\) 79153.7 + 137098.i 0.119542 + 0.207054i
\(214\) −130170. + 8407.98i −0.194302 + 0.0125504i
\(215\) −1.77205e6 + 1.02309e6i −2.61445 + 1.50945i
\(216\) −336084. + 65859.1i −0.490133 + 0.0960465i
\(217\) 1.05838e6i 1.52579i
\(218\) −412267. 203793.i −0.587540 0.290435i
\(219\) −103000. 178402.i −0.145120 0.251356i
\(220\) 198252. + 82558.9i 0.276160 + 0.115002i
\(221\) 157420.i 0.216810i
\(222\) 42981.0 + 21246.5i 0.0585321 + 0.0289338i
\(223\) 75210.3 130268.i 0.101278 0.175419i −0.810933 0.585138i \(-0.801040\pi\)
0.912211 + 0.409720i \(0.134374\pi\)
\(224\) 325138. + 972938.i 0.432960 + 1.29558i
\(225\) 1.00198e6 1.73549e6i 1.31948 2.28541i
\(226\) 23415.7 + 362516.i 0.0304956 + 0.472124i
\(227\) 1.30617e6 1.68243 0.841213 0.540703i \(-0.181842\pi\)
0.841213 + 0.540703i \(0.181842\pi\)
\(228\) −6775.10 + 202676.i −0.00863135 + 0.258205i
\(229\) −375776. −0.473522 −0.236761 0.971568i \(-0.576086\pi\)
−0.236761 + 0.971568i \(0.576086\pi\)
\(230\) −116972. 1.81093e6i −0.145802 2.25727i
\(231\) 21881.6 37900.0i 0.0269805 0.0467315i
\(232\) −589742. + 514233.i −0.719353 + 0.627249i
\(233\) −158635. + 274764.i −0.191430 + 0.331566i −0.945724 0.324970i \(-0.894646\pi\)
0.754295 + 0.656536i \(0.227979\pi\)
\(234\) −335292. 165743.i −0.400298 0.197877i
\(235\) 175533.i 0.207342i
\(236\) −432363. + 1.03825e6i −0.505322 + 1.21345i
\(237\) −175241. 303527.i −0.202659 0.351015i
\(238\) 484897. + 239696.i 0.554890 + 0.274295i
\(239\) 672989.i 0.762102i −0.924554 0.381051i \(-0.875562\pi\)
0.924554 0.381051i \(-0.124438\pi\)
\(240\) −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 \(0.555873\pi\)
\(242\) −887892. + 57351.0i −0.974590 + 0.0629510i
\(243\) 325494. + 563772.i 0.353612 + 0.612474i
\(244\) 251343. + 328844.i 0.270266 + 0.353603i
\(245\) −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
\(250\) 3.52630e6 227772.i 3.56837 0.230489i
\(251\) −50440.9 + 29122.1i −0.0505357 + 0.0291768i −0.525055 0.851068i \(-0.675955\pi\)
0.474519 + 0.880245i \(0.342622\pi\)
\(252\) 1.02106e6 780422.i 1.01287 0.774156i
\(253\) −89992.7 155872.i −0.0883906 0.153097i
\(254\) −64645.9 96948.1i −0.0628719 0.0942877i
\(255\) −237821. −0.229034
\(256\) 912040. 517393.i 0.869789 0.493424i
\(257\) 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
\(260\) −131268. 1.01189e6i −0.120428 0.928325i
\(261\) 848927. + 490128.i 0.771382 + 0.445357i
\(262\) −363513. 179693.i −0.327165 0.161725i
\(263\) 1.47513e6 + 851669.i 1.31505 + 0.759244i 0.982928 0.183992i \(-0.0589021\pi\)
0.332122 + 0.943236i \(0.392235\pi\)
\(264\) −42318.6 14499.5i −0.0373699 0.0128039i
\(265\) 2.18825e6i 1.91418i
\(266\) −650948. 1.43569e6i −0.564082 1.24411i
\(267\) 192953.i 0.165643i
\(268\) −99738.9 130493.i −0.0848257 0.110982i
\(269\) −322613. 186261.i −0.271832 0.156942i 0.357888 0.933765i \(-0.383497\pi\)
−0.629720 + 0.776822i \(0.716830\pi\)
\(270\) −518696. + 1.04931e6i −0.433016 + 0.875977i
\(271\) 312244. + 180274.i 0.258268 + 0.149111i 0.623544 0.781788i \(-0.285692\pi\)
−0.365276 + 0.930899i \(0.619025\pi\)
\(272\) 145123. 533515.i 0.118936 0.437244i
\(273\) −207933. −0.168856
\(274\) −1.03053e6 1.54546e6i −0.829246 1.24360i
\(275\) 469584. 271115.i 0.374440 0.216183i
\(276\) 48629.6 + 374864.i 0.0384262 + 0.296211i
\(277\) 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
\(280\) 3.31677e6 + 1.13641e6i 2.52825 + 0.866245i
\(281\) −1.60778e6 + 928253.i −1.21468 + 0.701295i −0.963775 0.266717i \(-0.914061\pi\)
−0.250904 + 0.968012i \(0.580728\pi\)
\(282\) 2356.82 + 36487.5i 0.00176483 + 0.0273226i
\(283\) −893708. 515982.i −0.663330 0.382974i 0.130215 0.991486i \(-0.458433\pi\)
−0.793544 + 0.608512i \(0.791767\pi\)
\(284\) −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
\(288\) −983547. 870821.i −0.698737 0.618654i
\(289\) 564160. + 977154.i 0.397336 + 0.688206i
\(290\) 172377. + 2.66869e6i 0.120360 + 1.86339i
\(291\) 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 \(-0.0625179\pi\)
\(294\) 146935. 297246.i 0.0991421 0.200561i
\(295\) 1.92195e6 + 3.32891e6i 1.28584 + 2.22714i
\(296\) 73261.3 + 373858.i 0.0486010 + 0.248015i
\(297\) 116093.i 0.0763684i
\(298\) 9930.28 20088.6i 0.00647770 0.0131042i
\(299\) −427584. + 740597.i −0.276594 + 0.479076i
\(300\) −1.12933e6 + 146503.i −0.724463 + 0.0939816i
\(301\) −1.65661e6 + 2.86934e6i −1.05391 + 1.82543i
\(302\) 1.55360e6 100351.i 0.980217 0.0633145i
\(303\) −136315. −0.0852978
\(304\) −1.31218e6 + 935174.i −0.814350 + 0.580374i
\(305\) 1.41461e6 0.870738
\(306\) −691234. + 44648.4i −0.422009 + 0.0272585i
\(307\) 392332. 679539.i 0.237579 0.411499i −0.722440 0.691433i \(-0.756980\pi\)
0.960019 + 0.279935i \(0.0903128\pi\)
\(308\) 344846. 44735.5i 0.207133 0.0268705i
\(309\) 417822. 723689.i 0.248940 0.431177i
\(310\) −1.63852e6 + 3.31467e6i −0.968383 + 1.95901i
\(311\) 590840.i 0.346393i 0.984887 + 0.173196i \(0.0554095\pi\)
−0.984887 + 0.173196i \(0.944590\pi\)
\(312\) 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 \(0.801860\pi\)
\(314\) −1.03574e6 + 2.09527e6i −0.592825 + 1.19926i
\(315\) 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 \(0.183014\pi\)
\(318\) −29380.9 454866.i −0.0162928 0.252241i
\(319\) 132618. + 229701.i 0.0729669 + 0.126382i
\(320\) 487963. 3.55043e6i 0.266386 1.93823i
\(321\) 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
\(326\) −21388.8 331136.i −0.0111466 0.172569i
\(327\) 283541. 163703.i 0.146638 0.0846615i
\(328\) −1.64812e6 564687.i −0.845869 0.289817i
\(329\) −142113. 246147.i −0.0723842 0.125373i
\(330\) −127204. + 84820.6i −0.0643005 + 0.0428762i
\(331\) 1.63245e6 0.818972 0.409486 0.912316i \(-0.365708\pi\)
0.409486 + 0.912316i \(0.365708\pi\)
\(332\) −135653. 1.04569e6i −0.0675435 0.520663i
\(333\) 413335. 238639.i 0.204264 0.117932i
\(334\) −1.85890e6 2.78775e6i −0.911779 1.36737i
\(335\) −561352. −0.273290
\(336\) −704708. 191690.i −0.340534 0.0926300i
\(337\) −2.53284e6 1.46234e6i −1.21488 0.701410i −0.251060 0.967971i \(-0.580779\pi\)
−0.963818 + 0.266561i \(0.914113\pi\)
\(338\) 717666. 1.45181e6i 0.341689 0.691225i
\(339\) −223973. 129311.i −0.105852 0.0611134i
\(340\) −1.14753e6 1.50137e6i −0.538352 0.704353i
\(341\) 366727.i 0.170788i
\(342\) 1.64117e6 + 1.17541e6i 0.758733 + 0.543406i
\(343\) 398868.i 0.183060i
\(344\) 3.20386e6 + 1.09773e6i 1.45975 + 0.500148i
\(345\) 1.11885e6 + 645969.i 0.506086 + 0.292189i
\(346\) 230088. + 113738.i 0.103325 + 0.0510758i
\(347\) −2.73564e6 1.57942e6i −1.21965 0.704164i −0.254806 0.966992i \(-0.582012\pi\)
−0.964843 + 0.262828i \(0.915345\pi\)
\(348\) −71663.1 552419.i −0.0317210 0.244524i
\(349\) −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
\(352\) −112659. 337121.i −0.0484631 0.145020i
\(353\) −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
\(356\) −1.21811e6 + 931032.i −0.509405 + 0.389349i
\(357\) −333493. + 192542.i −0.138489 + 0.0799569i
\(358\) −1.94964e6 + 125932.i −0.803984 + 0.0519312i
\(359\) 942762. + 544304.i 0.386070 + 0.222897i 0.680456 0.732789i \(-0.261782\pi\)
−0.294386 + 0.955687i \(0.595115\pi\)
\(360\) −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
\(364\) −1.00331e6 1.31268e6i −0.396902 0.519286i
\(365\) −2.79719e6 4.84488e6i −1.09898 1.90349i
\(366\) −294052. + 18993.5i −0.114742 + 0.00741144i
\(367\) −2.60609e6 + 1.50463e6i −1.01001 + 0.583127i −0.911193 0.411979i \(-0.864838\pi\)
−0.0988127 + 0.995106i \(0.531504\pi\)
\(368\) −2.13188e6 + 2.11578e6i −0.820620 + 0.814426i
\(369\) 2.18259e6i 0.834462i
\(370\) 1.16724e6 + 576995.i 0.443258 + 0.219113i
\(371\) 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 \(0.911649\pi\)
\(374\) −168015. 83054.0i −0.0621113 0.0307030i
\(375\) −1.25785e6 + 2.17866e6i −0.461903 + 0.800039i
\(376\) −218974. + 190937.i −0.0798773 + 0.0696500i
\(377\) 630110. 1.09138e6i 0.228330 0.395479i
\(378\) 122168. + 1.89137e6i 0.0439772 + 0.680842i
\(379\) −2.47021e6 −0.883357 −0.441679 0.897173i \(-0.645617\pi\)
−0.441679 + 0.897173i \(0.645617\pi\)
\(380\) −183992. + 5.50409e6i −0.0653643 + 1.95536i
\(381\) 82957.0 0.0292779
\(382\) 208506. + 3.22803e6i 0.0731071 + 1.13182i
\(383\) −1.72934e6 + 2.99530e6i −0.602396 + 1.04338i 0.390061 + 0.920789i \(0.372454\pi\)
−0.992457 + 0.122592i \(0.960879\pi\)
\(384\) −53761.4 + 744570.i −0.0186056 + 0.257678i
\(385\) 594242. 1.02926e6i 0.204320 0.353893i
\(386\) 3.48494e6 + 1.72269e6i 1.19049 + 0.588489i
\(387\) 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 \(0.917271\pi\)
\(390\) 651209. + 321908.i 0.216800 + 0.107169i
\(391\) 1.58374e6i 0.523893i
\(392\) 2.58550e6 506656.i 0.849826 0.166532i
\(393\) 250010. 144344.i 0.0816538 0.0471429i
\(394\) −4.70538e6 + 303931.i −1.52705 + 0.0986359i
\(395\) −4.75905e6 8.24292e6i −1.53471 2.65820i
\(396\) −353796. + 270414.i −0.113374 + 0.0866546i
\(397\) 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 \(0.565838\pi\)
\(402\) 116687. 7537.09i 0.0360128 0.00232615i
\(403\) 1.50900e6 871219.i 0.462834 0.267217i
\(404\) −657745. 860560.i −0.200495 0.262318i
\(405\) 2.59688e6 + 4.49794e6i 0.786711 + 1.36262i
\(406\) 2.40232e6 + 3.60270e6i 0.723295 + 1.08471i
\(407\) 129141. 0.0386436
\(408\) 258693. + 296679.i 0.0769367 + 0.0882339i
\(409\) 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
\(412\) 6.58472e6 854209.i 1.91115 0.247925i
\(413\) 5.39024e6 + 3.11206e6i 1.55501 + 0.897785i
\(414\) 3.37324e6 + 1.66747e6i 0.967267 + 0.478143i
\(415\) −3.12105e6 1.80194e6i −0.889571 0.513594i
\(416\) −1.11953e6 + 1.26445e6i −0.317178 + 0.358235i
\(417\) 1.34144e6i 0.377773i
\(418\) 225552. + 497464.i 0.0631401 + 0.139258i
\(419\) 5.78950e6i 1.61104i −0.592569 0.805520i \(-0.701886\pi\)
0.592569 0.805520i \(-0.298114\pi\)
\(420\) −1.98312e6 + 1.51575e6i −0.548563 + 0.419279i
\(421\) −4.26798e6 2.46412e6i −1.17359 0.677574i −0.219068 0.975709i \(-0.570302\pi\)
−0.954523 + 0.298136i \(0.903635\pi\)
\(422\) −851019. + 1.72158e6i −0.232626 + 0.470595i
\(423\) 315211. + 181987.i 0.0856546 + 0.0494527i
\(424\) 2.72981e6 2.38029e6i 0.737424 0.643006i
\(425\) −4.77123e6 −1.28132
\(426\) −496820. 745070.i −0.132640 0.198917i
\(427\) 1.98369e6 1.14528e6i 0.526507 0.303979i
\(428\) 731755. 94927.6i 0.193089 0.0250486i
\(429\) 72048.2 0.0189008
\(430\) 9.63034e6 6.42160e6i 2.51172 1.67484i
\(431\) −616672. 1.06811e6i −0.159905 0.276963i 0.774930 0.632048i \(-0.217785\pi\)
−0.934834 + 0.355085i \(0.884452\pi\)
\(432\) 1.87321e6 494327.i 0.482922 0.127440i
\(433\) −3.34659e6 + 1.93216e6i −0.857794 + 0.495248i −0.863273 0.504737i \(-0.831589\pi\)
0.00547864 + 0.999985i \(0.498256\pi\)
\(434\) 385918. + 5.97467e6i 0.0983492 + 1.52261i
\(435\) −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 −0.998835 0.0482528i \(-0.984635\pi\)
0.541206 + 0.840890i \(0.317968\pi\)
\(440\) −1.14925e6 393764.i −0.282998 0.0969626i
\(441\) −1.65036e6 2.85851e6i −0.404095 0.699913i
\(442\) 57400.1 + 888651.i 0.0139752 + 0.216359i
\(443\) −479466. + 276820.i −0.116078 + 0.0670174i −0.556915 0.830570i \(-0.688015\pi\)
0.440837 + 0.897587i \(0.354682\pi\)
\(444\) −250379. 104266.i −0.0602754 0.0251008i
\(445\) 5.24005e6i 1.25440i
\(446\) −377069. + 762798.i −0.0897602 + 0.181582i
\(447\) 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 \(0.720008\pi\)
\(450\) −5.02347e6 + 1.01623e7i −1.16943 + 2.36571i
\(451\) −295281. + 511441.i −0.0683587 + 0.118401i
\(452\) −264368. 2.03790e6i −0.0608643 0.469176i
\(453\) −554177. + 959863.i −0.126883 + 0.219768i
\(454\) −7.37347e6 + 476270.i −1.67893 + 0.108446i
\(455\) −5.64686e6 −1.27873
\(456\) −35655.5 1.14659e6i −0.00802997 0.258224i
\(457\) −2.13565e6 −0.478344 −0.239172 0.970977i \(-0.576876\pi\)
−0.239172 + 0.970977i \(0.576876\pi\)
\(458\) 2.12129e6 137019.i 0.472537 0.0305223i
\(459\) 510766. 884673.i 0.113159 0.195998i
\(460\) 1.32064e6 + 1.01802e7i 0.290998 + 2.24317i
\(461\) −2008.12 + 3478.17i −0.000440086 + 0.000762252i −0.866245 0.499619i \(-0.833473\pi\)
0.865805 + 0.500381i \(0.166807\pi\)
\(462\) −109704. + 221928.i −0.0239121 + 0.0483734i
\(463\) 3.03840e6i 0.658708i 0.944207 + 0.329354i \(0.106831\pi\)
−0.944207 + 0.329354i \(0.893169\pi\)
\(464\) 3.14164e6 3.11793e6i 0.677426 0.672313i
\(465\) −1.31619e6 2.27970e6i −0.282283 0.488929i
\(466\) 795322. 1.60891e6i 0.169659 0.343215i
\(467\) 1.68405e6i 0.357325i 0.983910 + 0.178663i \(0.0571771\pi\)
−0.983910 + 0.178663i \(0.942823\pi\)
\(468\) 1.95319e6 + 813375.i 0.412221 + 0.171663i
\(469\) −787176. + 454476.i −0.165249 + 0.0954068i
\(470\) 64004.4 + 990897.i 0.0133649 + 0.206911i
\(471\) −831987. 1.44104e6i −0.172808 0.299312i
\(472\) 2.06215e6 6.01866e6i 0.426054 1.24350i
\(473\) 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
\(478\) 245392. + 3.79908e6i 0.0491236 + 0.760517i
\(479\) 2.91226e6 1.68139e6i 0.579951 0.334835i −0.181163 0.983453i \(-0.557986\pi\)
0.761114 + 0.648618i \(0.224653\pi\)
\(480\) 1.91026e6 + 1.69132e6i 0.378433 + 0.335060i
\(481\) −306795. 531384.i −0.0604624 0.104724i
\(482\) 5.46200e6 3.64212e6i 1.07086 0.714062i
\(483\) 2.09193e6 0.408018
\(484\) 4.99132e6 647504.i 0.968505 0.125640i
\(485\) 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 \(-0.726615\pi\)
−0.653299 + 0.757100i \(0.726615\pi\)
\(488\) −1.53876e6 1.76471e6i −0.292497 0.335446i
\(489\) 204586. + 118118.i 0.0386904 + 0.0223379i
\(490\) 3.99035e6 8.07234e6i 0.750793 1.51883i
\(491\) 126727. + 73165.8i 0.0237228 + 0.0136963i 0.511814 0.859096i \(-0.328974\pi\)
−0.488092 + 0.872792i \(0.662307\pi\)
\(492\) 985422. 753179.i 0.183531 0.140277i
\(493\) 2.33389e6i 0.432477i
\(494\) 1.51111e6 2.10990e6i 0.278599 0.388995i
\(495\) 1.52195e6i 0.279182i
\(496\) 5.91732e6 1.56154e6i 1.07999 0.285002i
\(497\) 6.02867e6 + 3.48065e6i 1.09479 + 0.632077i
\(498\) 672959. + 332659.i 0.121595 + 0.0601072i
\(499\) 7.67261e6 + 4.42978e6i 1.37940 + 0.796400i 0.992088 0.125547i \(-0.0400686\pi\)
0.387317 + 0.921947i \(0.373402\pi\)
\(500\) −1.98233e7 + 2.57159e6i −3.54609 + 0.460020i
\(501\) 2.38544e6 0.424593
\(502\) 274125. 182789.i 0.0485500 0.0323736i
\(503\) −6.90915e6 + 3.98900e6i −1.21760 + 0.702982i −0.964404 0.264433i \(-0.914815\pi\)
−0.253196 + 0.967415i \(0.581482\pi\)
\(504\) −5.47944e6 + 4.77786e6i −0.960859 + 0.837833i
\(505\) −3.70193e6 −0.645952
\(506\) 564853. + 847097.i 0.0980751 + 0.147081i
\(507\) 576485. + 998501.i 0.0996020 + 0.172516i
\(508\) 400282. + 523709.i 0.0688188 + 0.0900390i
\(509\) −5.80531e6 + 3.35170e6i −0.993187 + 0.573417i −0.906225 0.422795i \(-0.861049\pi\)
−0.0869614 + 0.996212i \(0.527716\pi\)
\(510\) 1.34252e6 86716.7i 0.228558 0.0147631i
\(511\) −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
\(516\) −1.91562e6 + 1.46415e6i −0.316726 + 0.242081i
\(517\) 49241.7 + 85289.2i 0.00810228 + 0.0140336i
\(518\) 2.10395e6 135899.i 0.344517 0.0222532i
\(519\) −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 \(0.913086\pi\)
\(522\) −4.97099e6 2.45728e6i −0.798484 0.394709i
\(523\) 3.20091e6 + 5.54413e6i 0.511704 + 0.886297i 0.999908 + 0.0135678i \(0.00431890\pi\)
−0.488204 + 0.872730i \(0.662348\pi\)
\(524\) 2.11759e6 + 881836.i 0.336909 + 0.140301i
\(525\) 6.30221e6i 0.997917i
\(526\) −8.63781e6 4.26987e6i −1.36125 0.672900i
\(527\) 1.61347e6 2.79461e6i 0.253066 0.438323i
\(528\) 244179. + 66420.1i 0.0381175 + 0.0103685i
\(529\) 1.08358e6 1.87682e6i 0.168354 0.291597i
\(530\) −797900. 1.23529e7i −0.123384 1.91020i
\(531\) −7.97048e6 −1.22673
\(532\) 4.19815e6 + 7.86726e6i 0.643101 + 1.20516i
\(533\) 2.80595e6 0.427820
\(534\) −70356.4 1.08924e6i −0.0106770 0.165299i
\(535\) 1.26097e6 2.18406e6i 0.190467 0.329898i
\(536\) 610617. + 700279.i 0.0918030 + 0.105283i
\(537\) 695447. 1.20455e6i 0.104071 0.180256i
\(538\) 1.88909e6 + 933824.i 0.281383 + 0.139094i
\(539\) 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 \(0.733940\pi\)
\(542\) −1.82838e6 903811.i −0.267343 0.132154i
\(543\) 2.57255e6i 0.374424i
\(544\) −624699. + 3.06466e6i −0.0905052 + 0.444001i
\(545\) 7.70017e6 4.44569e6i 1.11048 0.641133i
\(546\) 1.17380e6 75818.5i 0.168505 0.0108841i
\(547\) 239528. + 414875.i 0.0342286 + 0.0592856i 0.882632 0.470064i \(-0.155769\pi\)
−0.848404 + 0.529350i \(0.822436\pi\)
\(548\) 6.38094e6 + 8.34850e6i 0.907681 + 1.18756i
\(549\) −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
\(554\) −6.50408e6 + 420114.i −0.900350 + 0.0581557i
\(555\) −802784. + 463487.i −0.110628 + 0.0638713i
\(556\) 8.46852e6 6.47267e6i 1.16177 0.887967i
\(557\) 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
\(560\) −1.91379e7 5.20576e6i −2.57883 0.701478i
\(561\) 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 \(-0.346374\pi\)
0.464112 + 0.885777i \(0.346374\pi\)
\(564\) −26608.9 205116.i −0.00352232 0.0271520i
\(565\) −6.08248e6 3.51172e6i −0.801603 0.462806i
\(566\) 5.23320e6 + 2.58689e6i 0.686636 + 0.339420i
\(567\) 7.28314e6 + 4.20493e6i 0.951396 + 0.549289i
\(568\) 2.30639e6 6.73152e6i 0.299960 0.875472i
\(569\) 1.45003e6i 0.187757i −0.995584 0.0938787i \(-0.970073\pi\)
0.995584 0.0938787i \(-0.0299266\pi\)
\(570\) −3.18751e6 2.28290e6i −0.410926 0.294306i
\(571\) 2.09836e6i 0.269334i −0.990891 0.134667i \(-0.957004\pi\)
0.990891 0.134667i \(-0.0429964\pi\)
\(572\) 347645. + 454841.i 0.0444269 + 0.0581259i
\(573\) −1.99437e6 1.15145e6i −0.253758 0.146507i
\(574\) −4.27247e6 + 8.64307e6i −0.541252 + 1.09493i
\(575\) 2.24467e7 + 1.29596e7i 2.83128 + 1.63464i
\(576\) 5.86974e6 + 4.55724e6i 0.737161 + 0.572328i
\(577\) 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
\(580\) −1.94617e6 1.50021e7i −0.240220 1.85175i
\(581\) −5.83547e6 −0.717192
\(582\) −1.70089e6 + 1.13417e6i −0.208147 + 0.138794i
\(583\) −613864. 1.06324e6i −0.0747999 0.129557i
\(584\) −3.00124e6 + 8.75953e6i −0.364141 + 1.06279i
\(585\) 6.26246e6 3.61563e6i 0.756581 0.436812i
\(586\) 209127. + 3.23764e6i 0.0251574 + 0.389479i
\(587\) −6.05280e6 3.49458e6i −0.725038 0.418601i 0.0915661 0.995799i \(-0.470813\pi\)
−0.816604 + 0.577198i \(0.804146\pi\)
\(588\) −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
\(592\) −549887. 2.08375e6i −0.0644865 0.244366i
\(593\) −13576.3 23514.8i −0.00158542 0.00274602i 0.865232 0.501372i \(-0.167171\pi\)
−0.866817 + 0.498626i \(0.833838\pi\)
\(594\) −42330.9 655354.i −0.00492256 0.0762096i
\(595\) −9.05672e6 + 5.22890e6i −1.04877 + 0.605506i
\(596\) −48732.4 + 117023.i −0.00561956 + 0.0134945i
\(597\) 1.97862e6i 0.227209i
\(598\) 2.14371e6 4.33665e6i 0.245139 0.495908i
\(599\) 670686. + 1.16166e6i 0.0763752 + 0.132286i 0.901683 0.432397i \(-0.142332\pi\)
−0.825308 + 0.564682i \(0.808999\pi\)
\(600\) 6.32173e6 1.23881e6i 0.716898 0.140484i
\(601\) 1.09584e6i 0.123754i 0.998084 + 0.0618771i \(0.0197087\pi\)
−0.998084 + 0.0618771i \(0.980291\pi\)
\(602\) 8.30549e6 1.68017e7i 0.934059 1.88957i
\(603\) 581994. 1.00804e6i 0.0651816 0.112898i
\(604\) −8.73363e6 + 1.13298e6i −0.974098 + 0.126366i
\(605\) 8.60108e6 1.48975e7i 0.955355 1.65472i
\(606\) 769512. 49704.6i 0.0851204 0.00549813i
\(607\) 7.00239e6 0.771391 0.385695 0.922626i \(-0.373962\pi\)
0.385695 + 0.922626i \(0.373962\pi\)
\(608\) 7.06641e6 5.75760e6i 0.775246 0.631659i
\(609\) −3.08278e6 −0.336821
\(610\) −7.98561e6 + 515809.i −0.868928 + 0.0561261i
\(611\) 233963. 405236.i 0.0253539 0.0439142i
\(612\) 3.88580e6 504089.i 0.419374 0.0544037i
\(613\) 1.08004e6 1.87068e6i 0.116088 0.201071i −0.802126 0.597155i \(-0.796298\pi\)
0.918214 + 0.396084i \(0.129631\pi\)
\(614\) −1.96697e6 + 3.97912e6i −0.210560 + 0.425957i
\(615\) 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 \(0.801955\pi\)
\(618\) −2.09476e6 + 4.23764e6i −0.220630 + 0.446326i
\(619\) 6.22804e6i 0.653318i 0.945142 + 0.326659i \(0.105923\pi\)
−0.945142 + 0.326659i \(0.894077\pi\)
\(620\) 8.04096e6 1.93091e7i 0.840096 2.01735i
\(621\) −4.80589e6 + 2.77468e6i −0.500086 + 0.288725i
\(622\) −215438. 3.33534e6i −0.0223278 0.345672i
\(623\) 4.24240e6 + 7.34805e6i 0.437916 + 0.758493i
\(624\) −306784. 1.16253e6i −0.0315407 0.119521i
\(625\) −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
\(630\) 1.60159e6 + 2.47954e7i 0.160769 + 2.48897i
\(631\) 3.43366e6 1.98242e6i 0.343308 0.198209i −0.318426 0.947948i \(-0.603154\pi\)
0.661734 + 0.749739i \(0.269821\pi\)
\(632\) −5.10621e6 + 1.49032e7i −0.508518 + 1.48418i
\(633\) −683605. 1.18404e6i −0.0678103 0.117451i
\(634\) −7.66080e6 + 5.10829e6i −0.756921 + 0.504722i
\(635\) 2.25288e6 0.221719
\(636\) 331715. + 2.55705e6i 0.0325179 + 0.250666i
\(637\) −3.67491e6 + 2.12171e6i −0.358838 + 0.207175i
\(638\) −832397. 1.24833e6i −0.0809615 0.121416i
\(639\) −8.91452e6 −0.863666
\(640\) −1.46001e6 + 2.02204e7i −0.140898 + 1.95137i
\(641\) 2.02946e6 + 1.17171e6i 0.195090 + 0.112636i 0.594363 0.804197i \(-0.297404\pi\)
−0.399273 + 0.916832i \(0.630737\pi\)
\(642\) −232790. + 470926.i −0.0222908 + 0.0450936i
\(643\) 3.81707e6 + 2.20379e6i 0.364085 + 0.210205i 0.670871 0.741574i \(-0.265920\pi\)
−0.306786 + 0.951778i \(0.599254\pi\)
\(644\) 1.00939e7 + 1.32064e7i 0.959060 + 1.25479i
\(645\) 8.24054e6i 0.779931i
\(646\) 469869. 4.78322e6i 0.0442992 0.450961i
\(647\) 2.24473e6i 0.210816i 0.994429 + 0.105408i \(0.0336149\pi\)
−0.994429 + 0.105408i \(0.966385\pi\)
\(648\) 2.78632e6 8.13225e6i 0.260671 0.760805i
\(649\) −1.86770e6 1.07832e6i −0.174059 0.100493i
\(650\) 1.30647e7 + 6.45819e6i 1.21288 + 0.599553i
\(651\) −3.69134e6 2.13119e6i −0.341375 0.197093i
\(652\) 241484. + 1.86149e6i 0.0222469 + 0.171491i
\(653\) −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
\(656\) 9.50966e6 + 2.58676e6i 0.862791 + 0.234691i
\(657\) 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 \(-0.832488\pi\)
−0.00265631 0.999996i \(-0.500846\pi\)
\(660\) 687148. 525202.i 0.0614031 0.0469317i
\(661\) −5.15993e6 + 2.97909e6i −0.459347 + 0.265204i −0.711769 0.702413i \(-0.752106\pi\)
0.252423 + 0.967617i \(0.418773\pi\)
\(662\) −9.21531e6 + 595239.i −0.817269 + 0.0527893i
\(663\) −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
\(668\) 1.15101e7 + 1.50593e7i 0.998021 + 1.30576i
\(669\) −302891. 524623.i −0.0261651 0.0453192i
\(670\) 3.16888e6 204686.i 0.272722 0.0176157i
\(671\) −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 \(-0.109649\pi\)
\(674\) 1.48313e7 + 7.33147e6i 1.25756 + 0.621643i
\(675\) −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 \(-0.0183673\pi\)
\(678\) 1.31150e6 + 648305.i 0.109571 + 0.0541633i
\(679\) 7.94586e6 1.37626e7i 0.661404 1.14559i
\(680\) 7.02535e6 + 8.05694e6i 0.582634 + 0.668187i
\(681\) 2.63015e6 4.55555e6i 0.217327 0.376421i
\(682\) −133720. 2.07021e6i −0.0110087 0.170433i
\(683\) −1.35393e7 −1.11057 −0.555285 0.831660i \(-0.687391\pi\)
−0.555285 + 0.831660i \(0.687391\pi\)
\(684\) −9.69316e6 6.03688e6i −0.792182 0.493370i
\(685\) 3.59133e7 2.92435
\(686\) 145439. + 2.25165e6i 0.0117997 + 0.182679i
\(687\) −756674. + 1.31060e6i −0.0611669 + 0.105944i
\(688\) −1.84864e7 5.02854e6i −1.48895 0.405015i
\(689\) −2.91666e6 + 5.05181e6i −0.234066 + 0.405414i
\(690\) −6.55155e6 3.23859e6i −0.523868 0.258960i
\(691\) 2.13347e7i 1.69977i 0.526966 + 0.849887i \(0.323330\pi\)
−0.526966 + 0.849887i \(0.676670\pi\)
\(692\) −1.34034e6 558164.i −0.106402 0.0443095i
\(693\) 1.23219e6 + 2.13421e6i 0.0974638 + 0.168812i
\(694\) 1.60188e7 + 7.91848e6i 1.26250 + 0.624084i
\(695\) 3.64296e7i 2.86083i
\(696\) 605973. + 3.09233e6i 0.0474166 + 0.241970i
\(697\) 4.50032e6 2.59826e6i 0.350882 0.202582i
\(698\) 5.76761e6 372544.i 0.448082 0.0289427i
\(699\) 638864. + 1.10655e6i 0.0494556 + 0.0856597i
\(700\) −3.97859e7 + 3.04093e7i −3.06891 + 2.34564i
\(701\) 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
\(706\) 2.17185e6 140285.i 0.163991 0.0105925i
\(707\) −5.19117e6 + 2.99712e6i −0.390586 + 0.225505i
\(708\) 2.75049e6 + 3.59860e6i 0.206218 + 0.269806i
\(709\) 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
\(712\) 6.53689e6 5.69992e6i 0.483249 0.421375i
\(713\) −1.51814e7 + 8.76499e6i −1.11838 + 0.645695i
\(714\) 1.81239e6 1.20852e6i 0.133048 0.0887174i
\(715\) 1.95662e6 0.143134
\(716\) 1.09600e7 1.42180e6i 0.798965 0.103646i
\(717\) −2.34719e6 1.35515e6i −0.170510 0.0984441i
\(718\) −5.52044e6 2.72888e6i −0.399634 0.197549i
\(719\) 1.11491e7 + 6.43693e6i 0.804299 + 0.464362i 0.844972 0.534810i \(-0.179617\pi\)
−0.0406733 + 0.999172i \(0.512950\pi\)
\(720\) 2.45574e7 6.48052e6i 1.76543 0.465885i
\(721\) 3.67461e7i 2.63253i
\(722\) −9.88993e6 + 9.91884e6i −0.706074 + 0.708138i
\(723\) 4.67375e6i 0.332522i
\(724\) −1.62405e7 + 1.24130e7i −1.15147 + 0.880096i
\(725\) −3.30786e7 1.90979e7i −2.33723 1.34940i
\(726\) −1.58786e6 + 3.21219e6i −0.111808 + 0.226183i
\(727\) −1.92785e7 1.11305e7i −1.35281 0.781046i −0.364169 0.931333i \(-0.618647\pi\)
−0.988642 + 0.150287i \(0.951980\pi\)
\(728\) 6.14243e6 + 7.04438e6i 0.429548 + 0.492622i
\(729\) −8.91801e6 −0.621512
\(730\) 1.75570e7 + 2.63299e7i 1.21939 + 1.82870i
\(731\) −8.74842e6 + 5.05090e6i −0.605530 + 0.349603i
\(732\) 1.65302e6 214440.i 0.114025 0.0147920i
\(733\) −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
\(736\) 1.12632e7 1.27211e7i 0.766417 0.865628i
\(737\) 272754. 157475.i 0.0184971 0.0106793i
\(738\) −795838. 1.23209e7i −0.0537878 0.832727i
\(739\) −1.66903e7 9.63613e6i −1.12422 0.649070i −0.181747 0.983345i \(-0.558175\pi\)
−0.942475 + 0.334275i \(0.891508\pi\)
\(740\) −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 \(0.354154\pi\)
−0.997861 + 0.0653639i \(0.979179\pi\)
\(744\) −1.41220e6 + 4.12169e6i −0.0935327 + 0.272988i
\(745\) 216626. + 375208.i 0.0142995 + 0.0247675i
\(746\) −536941. 8.31276e6i −0.0353248 0.546888i
\(747\) 6.47163e6 3.73640e6i 0.424338 0.244992i
\(748\) 978746. + 407584.i 0.0639611 + 0.0266356i
\(749\) 4.08356e6i 0.265971i
\(750\) 6.30627e6 1.27574e7i 0.409373 0.828148i
\(751\) 1.00966e7 + 1.74878e7i 0.653242 + 1.13145i 0.982332 + 0.187149i \(0.0599248\pi\)
−0.329090 + 0.944299i \(0.606742\pi\)
\(752\) 1.16651e6 1.15770e6i 0.0752217 0.0746539i
\(753\) 234564.i 0.0150756i
\(754\) −3.15908e6 + 6.39071e6i −0.202363 + 0.409375i
\(755\) −1.50499e7 + 2.60671e7i −0.960871 + 1.66428i
\(756\) −1.37930e6 1.06324e7i −0.0877715 0.676592i
\(757\) 6.17824e6 1.07010e7i 0.391855 0.678713i −0.600839 0.799370i \(-0.705167\pi\)
0.992694 + 0.120657i \(0.0385002\pi\)
\(758\) 1.39446e7 900713.i 0.881520 0.0569395i
\(759\) −724848. −0.0456712
\(760\) −968301. 3.11382e7i −0.0608102 1.95551i
\(761\) 9.76295e6 0.611110 0.305555 0.952174i \(-0.401158\pi\)
0.305555 + 0.952174i \(0.401158\pi\)
\(762\) −468300. + 30248.6i −0.0292171 + 0.00188720i
\(763\) 7.19856e6 1.24683e7i 0.447645 0.775344i
\(764\) −2.35407e6 1.81465e7i −0.145910 1.12476i
\(765\) 6.69604e6 1.15979e7i 0.413680 0.716514i
\(766\) 8.67008e6 1.75393e7i 0.533889 1.08004i
\(767\) 1.02469e7i 0.628931i
\(768\) 31995.7 4.22277e6i 0.00195744 0.258342i
\(769\) 9.21316e6 + 1.59577e7i