Properties

Label 76.6.f.a.27.15
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 27.15
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.77769 - 4.92793i) q^{2} +(-6.88277 + 11.9213i) q^{3} +(-16.5689 + 27.3765i) q^{4} +(12.1360 - 21.0202i) q^{5} +(77.8655 + 0.804103i) q^{6} -229.350i q^{7} +(180.932 + 5.60696i) q^{8} +(26.7549 + 46.3408i) q^{9} +O(q^{10})\) \(q+(-2.77769 - 4.92793i) q^{2} +(-6.88277 + 11.9213i) q^{3} +(-16.5689 + 27.3765i) q^{4} +(12.1360 - 21.0202i) q^{5} +(77.8655 + 0.804103i) q^{6} -229.350i q^{7} +(180.932 + 5.60696i) q^{8} +(26.7549 + 46.3408i) q^{9} +(-137.296 - 1.41783i) q^{10} +200.322i q^{11} +(-212.324 - 385.949i) q^{12} +(-229.041 + 132.237i) q^{13} +(-1130.22 + 637.061i) q^{14} +(167.059 + 289.355i) q^{15} +(-474.943 - 907.196i) q^{16} +(-1148.14 + 1988.64i) q^{17} +(154.047 - 260.566i) q^{18} +(-1560.62 + 201.420i) q^{19} +(374.379 + 680.523i) q^{20} +(2734.15 + 1578.56i) q^{21} +(987.174 - 556.433i) q^{22} +(821.065 - 474.042i) q^{23} +(-1312.16 + 2118.36i) q^{24} +(1267.93 + 2196.13i) q^{25} +(1287.86 + 761.385i) q^{26} -4081.62 q^{27} +(6278.78 + 3800.07i) q^{28} +(2115.82 - 1221.57i) q^{29} +(961.880 - 1626.99i) q^{30} -5388.46 q^{31} +(-3151.35 + 4860.39i) q^{32} +(-2388.11 - 1378.77i) q^{33} +(12989.0 + 134.135i) q^{34} +(-4820.97 - 2783.39i) q^{35} +(-1711.95 - 35.3616i) q^{36} +12288.6i q^{37} +(5327.49 + 7131.13i) q^{38} -3640.63i q^{39} +(2313.66 - 3735.19i) q^{40} +(-7168.50 - 4138.74i) q^{41} +(184.421 - 17858.4i) q^{42} +(7067.54 + 4080.45i) q^{43} +(-5484.12 - 3319.12i) q^{44} +1298.79 q^{45} +(-4616.70 - 2729.40i) q^{46} +(-20529.3 + 11852.6i) q^{47} +(14083.9 + 582.077i) q^{48} -35794.2 q^{49} +(7300.42 - 12348.4i) q^{50} +(-15804.8 - 27374.7i) q^{51} +(174.776 - 8461.36i) q^{52} +(25215.7 - 14558.3i) q^{53} +(11337.5 + 20113.9i) q^{54} +(4210.82 + 2431.12i) q^{55} +(1285.95 - 41496.8i) q^{56} +(8340.19 - 19990.9i) q^{57} +(-11896.9 - 7033.48i) q^{58} +(-4016.21 + 6956.29i) q^{59} +(-10689.5 - 220.800i) q^{60} +(3331.82 + 5770.88i) q^{61} +(14967.5 + 26553.9i) q^{62} +(10628.2 - 6136.21i) q^{63} +(32705.1 + 2028.96i) q^{64} +6419.32i q^{65} +(-161.080 + 15598.2i) q^{66} +(13940.9 + 24146.3i) q^{67} +(-35418.5 - 64381.6i) q^{68} +13050.9i q^{69} +(-325.179 + 31488.8i) q^{70} +(22981.2 - 39804.5i) q^{71} +(4580.99 + 8534.56i) q^{72} +(-44401.0 + 76904.8i) q^{73} +(60557.3 - 34133.9i) q^{74} -34907.6 q^{75} +(20343.5 - 46061.5i) q^{76} +45943.9 q^{77} +(-17940.7 + 10112.5i) q^{78} +(10151.1 - 17582.2i) q^{79} +(-24833.4 - 1026.34i) q^{80} +(21591.4 - 37397.4i) q^{81} +(-483.521 + 46821.9i) q^{82} -15140.9i q^{83} +(-88517.2 + 48696.3i) q^{84} +(27867.7 + 48268.3i) q^{85} +(476.712 - 46162.5i) q^{86} +33631.2i q^{87} +(-1123.20 + 36244.8i) q^{88} +(-37364.2 + 21572.3i) q^{89} +(-3607.63 - 6400.34i) q^{90} +(30328.5 + 52530.5i) q^{91} +(-626.537 + 30332.2i) q^{92} +(37087.5 - 64237.5i) q^{93} +(115433. + 68244.0i) q^{94} +(-14705.8 + 35248.9i) q^{95} +(-36252.2 - 71021.2i) q^{96} +(-16061.3 - 9272.99i) q^{97} +(99425.1 + 176391. i) q^{98} +(-9283.10 + 5359.60i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.77769 4.92793i −0.491031 0.871142i
\(3\) −6.88277 + 11.9213i −0.441530 + 0.764753i −0.997803 0.0662469i \(-0.978898\pi\)
0.556273 + 0.831000i \(0.312231\pi\)
\(4\) −16.5689 + 27.3765i −0.517778 + 0.855515i
\(5\) 12.1360 21.0202i 0.217096 0.376021i −0.736823 0.676086i \(-0.763675\pi\)
0.953919 + 0.300065i \(0.0970083\pi\)
\(6\) 77.8655 + 0.804103i 0.883013 + 0.00911871i
\(7\) 229.350i 1.76910i −0.466444 0.884551i \(-0.654465\pi\)
0.466444 0.884551i \(-0.345535\pi\)
\(8\) 180.932 + 5.60696i 0.999520 + 0.0309744i
\(9\) 26.7549 + 46.3408i 0.110102 + 0.190703i
\(10\) −137.296 1.41783i −0.434168 0.00448357i
\(11\) 200.322i 0.499169i 0.968353 + 0.249585i \(0.0802941\pi\)
−0.968353 + 0.249585i \(0.919706\pi\)
\(12\) −212.324 385.949i −0.425643 0.773708i
\(13\) −229.041 + 132.237i −0.375885 + 0.217017i −0.676026 0.736877i \(-0.736299\pi\)
0.300141 + 0.953895i \(0.402966\pi\)
\(14\) −1130.22 + 637.061i −1.54114 + 0.868683i
\(15\) 167.059 + 289.355i 0.191709 + 0.332049i
\(16\) −474.943 907.196i −0.463812 0.885934i
\(17\) −1148.14 + 1988.64i −0.963546 + 1.66891i −0.250075 + 0.968226i \(0.580455\pi\)
−0.713471 + 0.700685i \(0.752878\pi\)
\(18\) 154.047 260.566i 0.112066 0.189556i
\(19\) −1560.62 + 201.420i −0.991774 + 0.128003i
\(20\) 374.379 + 680.523i 0.209284 + 0.380424i
\(21\) 2734.15 + 1578.56i 1.35292 + 0.781112i
\(22\) 987.174 556.433i 0.434848 0.245107i
\(23\) 821.065 474.042i 0.323637 0.186852i −0.329376 0.944199i \(-0.606838\pi\)
0.653012 + 0.757347i \(0.273505\pi\)
\(24\) −1312.16 + 2118.36i −0.465006 + 0.750710i
\(25\) 1267.93 + 2196.13i 0.405739 + 0.702760i
\(26\) 1287.86 + 761.385i 0.373624 + 0.220887i
\(27\) −4081.62 −1.07751
\(28\) 6278.78 + 3800.07i 1.51349 + 0.916002i
\(29\) 2115.82 1221.57i 0.467180 0.269727i −0.247878 0.968791i \(-0.579733\pi\)
0.715059 + 0.699065i \(0.246400\pi\)
\(30\) 961.880 1626.99i 0.195127 0.330052i
\(31\) −5388.46 −1.00707 −0.503536 0.863974i \(-0.667968\pi\)
−0.503536 + 0.863974i \(0.667968\pi\)
\(32\) −3151.35 + 4860.39i −0.544029 + 0.839067i
\(33\) −2388.11 1378.77i −0.381741 0.220398i
\(34\) 12989.0 + 134.135i 1.92699 + 0.0198997i
\(35\) −4820.97 2783.39i −0.665219 0.384064i
\(36\) −1711.95 35.3616i −0.220158 0.00454754i
\(37\) 12288.6i 1.47570i 0.674964 + 0.737850i \(0.264159\pi\)
−0.674964 + 0.737850i \(0.735841\pi\)
\(38\) 5327.49 + 7131.13i 0.598500 + 0.801123i
\(39\) 3640.63i 0.383279i
\(40\) 2313.66 3735.19i 0.228639 0.369116i
\(41\) −7168.50 4138.74i −0.665991 0.384510i 0.128565 0.991701i \(-0.458963\pi\)
−0.794556 + 0.607191i \(0.792296\pi\)
\(42\) 184.421 17858.4i 0.0161319 1.56214i
\(43\) 7067.54 + 4080.45i 0.582904 + 0.336540i 0.762287 0.647239i \(-0.224077\pi\)
−0.179382 + 0.983779i \(0.557410\pi\)
\(44\) −5484.12 3319.12i −0.427047 0.258459i
\(45\) 1298.79 0.0956109
\(46\) −4616.70 2729.40i −0.321690 0.190184i
\(47\) −20529.3 + 11852.6i −1.35559 + 0.782652i −0.989026 0.147740i \(-0.952800\pi\)
−0.366566 + 0.930392i \(0.619467\pi\)
\(48\) 14083.9 + 582.077i 0.882307 + 0.0364651i
\(49\) −35794.2 −2.12972
\(50\) 7300.42 12348.4i 0.412974 0.698533i
\(51\) −15804.8 27374.7i −0.850869 1.47375i
\(52\) 174.776 8461.36i 0.00896343 0.433942i
\(53\) 25215.7 14558.3i 1.23305 0.711902i 0.265386 0.964142i \(-0.414501\pi\)
0.967665 + 0.252240i \(0.0811672\pi\)
\(54\) 11337.5 + 20113.9i 0.529092 + 0.938668i
\(55\) 4210.82 + 2431.12i 0.187698 + 0.108368i
\(56\) 1285.95 41496.8i 0.0547968 1.76825i
\(57\) 8340.19 19990.9i 0.340008 0.814979i
\(58\) −11896.9 7033.48i −0.464370 0.274537i
\(59\) −4016.21 + 6956.29i −0.150206 + 0.260164i −0.931303 0.364245i \(-0.881327\pi\)
0.781097 + 0.624409i \(0.214660\pi\)
\(60\) −10689.5 220.800i −0.383335 0.00791811i
\(61\) 3331.82 + 5770.88i 0.114645 + 0.198572i 0.917638 0.397417i \(-0.130093\pi\)
−0.802993 + 0.595989i \(0.796760\pi\)
\(62\) 14967.5 + 26553.9i 0.494503 + 0.877302i
\(63\) 10628.2 6136.21i 0.337373 0.194782i
\(64\) 32705.1 + 2028.96i 0.998081 + 0.0619190i
\(65\) 6419.32i 0.188454i
\(66\) −161.080 + 15598.2i −0.00455178 + 0.440773i
\(67\) 13940.9 + 24146.3i 0.379405 + 0.657149i 0.990976 0.134041i \(-0.0427953\pi\)
−0.611571 + 0.791190i \(0.709462\pi\)
\(68\) −35418.5 64381.6i −0.928875 1.68845i
\(69\) 13050.9i 0.330003i
\(70\) −325.179 + 31488.8i −0.00793189 + 0.768088i
\(71\) 22981.2 39804.5i 0.541036 0.937102i −0.457809 0.889051i \(-0.651366\pi\)
0.998845 0.0480510i \(-0.0153010\pi\)
\(72\) 4580.99 + 8534.56i 0.104143 + 0.194022i
\(73\) −44401.0 + 76904.8i −0.975182 + 1.68907i −0.295850 + 0.955234i \(0.595603\pi\)
−0.679332 + 0.733831i \(0.737730\pi\)
\(74\) 60557.3 34133.9i 1.28555 0.724614i
\(75\) −34907.6 −0.716584
\(76\) 20343.5 46061.5i 0.404011 0.914754i
\(77\) 45943.9 0.883081
\(78\) −17940.7 + 10112.5i −0.333890 + 0.188202i
\(79\) 10151.1 17582.2i 0.182997 0.316960i −0.759903 0.650037i \(-0.774754\pi\)
0.942900 + 0.333077i \(0.108087\pi\)
\(80\) −24833.4 1026.34i −0.433821 0.0179295i
\(81\) 21591.4 37397.4i 0.365653 0.633329i
\(82\) −483.521 + 46821.9i −0.00794110 + 0.768980i
\(83\) 15140.9i 0.241244i −0.992699 0.120622i \(-0.961511\pi\)
0.992699 0.120622i \(-0.0384889\pi\)
\(84\) −88517.2 + 48696.3i −1.36877 + 0.753005i
\(85\) 27867.7 + 48268.3i 0.418363 + 0.724627i
\(86\) 476.712 46162.5i 0.00695040 0.673044i
\(87\) 33631.2i 0.476370i
\(88\) −1123.20 + 36244.8i −0.0154615 + 0.498930i
\(89\) −37364.2 + 21572.3i −0.500013 + 0.288683i −0.728719 0.684813i \(-0.759884\pi\)
0.228706 + 0.973496i \(0.426551\pi\)
\(90\) −3607.63 6400.34i −0.0469479 0.0832907i
\(91\) 30328.5 + 52530.5i 0.383926 + 0.664979i
\(92\) −626.537 + 30332.2i −0.00771750 + 0.373624i
\(93\) 37087.5 64237.5i 0.444652 0.770160i
\(94\) 115433. + 68244.0i 1.34744 + 0.796608i
\(95\) −14705.8 + 35248.9i −0.167178 + 0.400716i
\(96\) −36252.2 71021.2i −0.401473 0.786521i
\(97\) −16061.3 9272.99i −0.173321 0.100067i 0.410830 0.911712i \(-0.365239\pi\)
−0.584151 + 0.811645i \(0.698572\pi\)
\(98\) 99425.1 + 176391.i 1.04576 + 1.85529i
\(99\) −9283.10 + 5359.60i −0.0951930 + 0.0549597i
\(100\) −81130.5 1675.82i −0.811305 0.0167582i
\(101\) −53918.9 93390.3i −0.525942 0.910958i −0.999543 0.0302188i \(-0.990380\pi\)
0.473601 0.880739i \(-0.342954\pi\)
\(102\) −90999.6 + 153923.i −0.866042 + 1.46488i
\(103\) 33521.7 0.311339 0.155669 0.987809i \(-0.450247\pi\)
0.155669 + 0.987809i \(0.450247\pi\)
\(104\) −42182.4 + 22641.7i −0.382427 + 0.205270i
\(105\) 66363.3 38314.9i 0.587428 0.339152i
\(106\) −141783. 83822.6i −1.22563 0.724597i
\(107\) −56770.8 −0.479364 −0.239682 0.970851i \(-0.577043\pi\)
−0.239682 + 0.970851i \(0.577043\pi\)
\(108\) 67627.9 111740.i 0.557913 0.921830i
\(109\) −130148. 75140.9i −1.04923 0.605773i −0.126796 0.991929i \(-0.540470\pi\)
−0.922434 + 0.386155i \(0.873803\pi\)
\(110\) 284.023 27503.5i 0.00223806 0.216723i
\(111\) −146496. 84579.7i −1.12855 0.651566i
\(112\) −208065. + 108928.i −1.56731 + 0.820530i
\(113\) 30027.6i 0.221220i −0.993864 0.110610i \(-0.964720\pi\)
0.993864 0.110610i \(-0.0352804\pi\)
\(114\) −121680. + 14428.8i −0.876917 + 0.103984i
\(115\) 23011.9i 0.162259i
\(116\) −1614.54 + 78163.9i −0.0111405 + 0.539338i
\(117\) −12255.9 7075.96i −0.0827716 0.0477882i
\(118\) 45435.8 + 469.207i 0.300396 + 0.00310213i
\(119\) 456093. + 263325.i 2.95247 + 1.70461i
\(120\) 28604.0 + 53290.3i 0.181332 + 0.337828i
\(121\) 120922. 0.750830
\(122\) 19183.7 32448.7i 0.116690 0.197377i
\(123\) 98678.3 56972.0i 0.588111 0.339546i
\(124\) 89280.8 147517.i 0.521439 0.861565i
\(125\) 137401. 0.786528
\(126\) −59760.7 35330.7i −0.335343 0.198256i
\(127\) −30176.6 52267.5i −0.166020 0.287556i 0.770997 0.636839i \(-0.219758\pi\)
−0.937017 + 0.349283i \(0.886425\pi\)
\(128\) −80846.1 166804.i −0.436148 0.899875i
\(129\) −97288.6 + 56169.6i −0.514740 + 0.297185i
\(130\) 31633.9 17830.9i 0.164170 0.0925367i
\(131\) 87329.2 + 50419.5i 0.444612 + 0.256697i 0.705552 0.708658i \(-0.250699\pi\)
−0.260940 + 0.965355i \(0.584032\pi\)
\(132\) 77314.3 42533.2i 0.386211 0.212468i
\(133\) 46195.6 + 357927.i 0.226450 + 1.75455i
\(134\) 80267.8 135771.i 0.386171 0.653196i
\(135\) −49534.6 + 85796.4i −0.233924 + 0.405168i
\(136\) −218886. + 353371.i −1.01478 + 1.63826i
\(137\) 49498.7 + 85734.2i 0.225316 + 0.390259i 0.956414 0.292013i \(-0.0943252\pi\)
−0.731098 + 0.682272i \(0.760992\pi\)
\(138\) 64313.8 36251.3i 0.287479 0.162041i
\(139\) 264840. 152906.i 1.16264 0.671253i 0.210708 0.977549i \(-0.432423\pi\)
0.951936 + 0.306296i \(0.0990898\pi\)
\(140\) 156078. 85863.6i 0.673008 0.370245i
\(141\) 326315.i 1.38226i
\(142\) −259988. 2684.85i −1.08201 0.0111738i
\(143\) −26490.0 45882.1i −0.108328 0.187630i
\(144\) 29333.1 46281.1i 0.117883 0.185994i
\(145\) 59300.1i 0.234226i
\(146\) 502313. + 5187.29i 1.95026 + 0.0201400i
\(147\) 246363. 426714.i 0.940335 1.62871i
\(148\) −336419. 203609.i −1.26248 0.764085i
\(149\) −6827.05 + 11824.8i −0.0251923 + 0.0436343i −0.878347 0.478024i \(-0.841353\pi\)
0.853154 + 0.521658i \(0.174686\pi\)
\(150\) 96962.5 + 172022.i 0.351865 + 0.624247i
\(151\) −475487. −1.69706 −0.848529 0.529149i \(-0.822511\pi\)
−0.848529 + 0.529149i \(0.822511\pi\)
\(152\) −283496. + 27693.1i −0.995263 + 0.0972216i
\(153\) −122873. −0.424355
\(154\) −127618. 226408.i −0.433620 0.769289i
\(155\) −65394.4 + 113266.i −0.218631 + 0.378680i
\(156\) 99667.6 + 60321.2i 0.327901 + 0.198453i
\(157\) 221745. 384074.i 0.717967 1.24356i −0.243836 0.969816i \(-0.578406\pi\)
0.961804 0.273740i \(-0.0882607\pi\)
\(158\) −114840. 1185.93i −0.365974 0.00377935i
\(159\) 400805.i 1.25731i
\(160\) 63921.6 + 125228.i 0.197400 + 0.386724i
\(161\) −108721. 188311.i −0.330560 0.572546i
\(162\) −244266. 2522.49i −0.731266 0.00755165i
\(163\) 443156.i 1.30643i 0.757170 + 0.653217i \(0.226581\pi\)
−0.757170 + 0.653217i \(0.773419\pi\)
\(164\) 232078. 127674.i 0.673790 0.370675i
\(165\) −57964.2 + 33465.7i −0.165749 + 0.0956950i
\(166\) −74613.2 + 42056.7i −0.210158 + 0.118458i
\(167\) −207893. 360081.i −0.576831 0.999101i −0.995840 0.0911190i \(-0.970956\pi\)
0.419009 0.907982i \(-0.362378\pi\)
\(168\) 485845. + 300943.i 1.32808 + 0.822643i
\(169\) −150673. + 260974.i −0.405807 + 0.702878i
\(170\) 160455. 271404.i 0.425824 0.720268i
\(171\) −51088.1 66931.3i −0.133607 0.175041i
\(172\) −228810. + 125876.i −0.589730 + 0.324430i
\(173\) −358270. 206847.i −0.910113 0.525454i −0.0296452 0.999560i \(-0.509438\pi\)
−0.880467 + 0.474107i \(0.842771\pi\)
\(174\) 165732. 93417.0i 0.414986 0.233912i
\(175\) 503681. 290800.i 1.24325 0.717793i
\(176\) 181732. 95141.8i 0.442231 0.231521i
\(177\) −55285.4 95757.1i −0.132641 0.229741i
\(178\) 210093. + 124207.i 0.497005 + 0.293830i
\(179\) −293053. −0.683618 −0.341809 0.939769i \(-0.611040\pi\)
−0.341809 + 0.939769i \(0.611040\pi\)
\(180\) −21519.5 + 35556.3i −0.0495052 + 0.0817966i
\(181\) 33834.7 19534.5i 0.0767655 0.0443206i −0.461126 0.887335i \(-0.652554\pi\)
0.537891 + 0.843014i \(0.319221\pi\)
\(182\) 174623. 295370.i 0.390772 0.660979i
\(183\) −91728.6 −0.202478
\(184\) 151215. 81165.9i 0.329269 0.176738i
\(185\) 258309. + 149135.i 0.554894 + 0.320368i
\(186\) −419575. 4332.87i −0.889257 0.00918319i
\(187\) −398369. 229998.i −0.833069 0.480973i
\(188\) 15665.5 758404.i 0.0323257 1.56497i
\(189\) 936117.i 1.90623i
\(190\) 214552. 25441.5i 0.431171 0.0511280i
\(191\) 289826.i 0.574848i 0.957803 + 0.287424i \(0.0927989\pi\)
−0.957803 + 0.287424i \(0.907201\pi\)
\(192\) −249290. + 375923.i −0.488036 + 0.735946i
\(193\) −197568. 114066.i −0.381789 0.220426i 0.296808 0.954937i \(-0.404078\pi\)
−0.678596 + 0.734512i \(0.737411\pi\)
\(194\) −1083.35 + 104906.i −0.00206663 + 0.200123i
\(195\) −76526.7 44182.7i −0.144121 0.0832082i
\(196\) 593070. 979919.i 1.10272 1.82201i
\(197\) 568956. 1.04451 0.522256 0.852789i \(-0.325091\pi\)
0.522256 + 0.852789i \(0.325091\pi\)
\(198\) 52197.2 + 30859.1i 0.0946204 + 0.0559397i
\(199\) −753732. + 435167.i −1.34922 + 0.778975i −0.988140 0.153558i \(-0.950927\pi\)
−0.361085 + 0.932533i \(0.617594\pi\)
\(200\) 217097. + 404460.i 0.383777 + 0.714991i
\(201\) −383808. −0.670075
\(202\) −310451. + 525118.i −0.535321 + 0.905479i
\(203\) −280167. 485263.i −0.477174 0.826489i
\(204\) 1.01129e6 + 20889.0i 1.70138 + 0.0351433i
\(205\) −173994. + 100456.i −0.289168 + 0.166951i
\(206\) −93112.9 165193.i −0.152877 0.271220i
\(207\) 43934.9 + 25365.8i 0.0712663 + 0.0411456i
\(208\) 228746. + 144980.i 0.366603 + 0.232354i
\(209\) −40349.0 312627.i −0.0638950 0.495063i
\(210\) −373150. 220607.i −0.583895 0.345200i
\(211\) −55802.6 + 96652.9i −0.0862876 + 0.149454i −0.905939 0.423408i \(-0.860834\pi\)
0.819652 + 0.572862i \(0.194167\pi\)
\(212\) −19241.5 + 931531.i −0.0294036 + 1.42350i
\(213\) 316348. + 547931.i 0.477767 + 0.827517i
\(214\) 157692. + 279762.i 0.235383 + 0.417595i
\(215\) 171544. 99040.8i 0.253092 0.146123i
\(216\) −738497. 22885.5i −1.07700 0.0333753i
\(217\) 1.23584e6i 1.78161i
\(218\) −8778.58 + 850077.i −0.0125107 + 1.21148i
\(219\) −611204. 1.05864e6i −0.861145 1.49155i
\(220\) −136324. + 74996.4i −0.189896 + 0.104468i
\(221\) 607306.i 0.836425i
\(222\) −9881.30 + 956859.i −0.0134565 + 1.30306i
\(223\) −463448. + 802716.i −0.624078 + 1.08094i 0.364640 + 0.931149i \(0.381192\pi\)
−0.988718 + 0.149787i \(0.952141\pi\)
\(224\) 1.11473e6 + 722761.i 1.48439 + 0.962442i
\(225\) −67846.8 + 117514.i −0.0893456 + 0.154751i
\(226\) −147974. + 83407.3i −0.192714 + 0.108626i
\(227\) −252606. −0.325372 −0.162686 0.986678i \(-0.552016\pi\)
−0.162686 + 0.986678i \(0.552016\pi\)
\(228\) 409094. + 559553.i 0.521178 + 0.712860i
\(229\) 492383. 0.620461 0.310230 0.950661i \(-0.399594\pi\)
0.310230 + 0.950661i \(0.399594\pi\)
\(230\) −113401. + 63919.9i −0.141351 + 0.0796740i
\(231\) −316221. + 547711.i −0.389907 + 0.675339i
\(232\) 389671. 209159.i 0.475311 0.255127i
\(233\) −153004. + 265010.i −0.184634 + 0.319796i −0.943453 0.331506i \(-0.892443\pi\)
0.758819 + 0.651302i \(0.225777\pi\)
\(234\) −826.672 + 80051.1i −0.000986947 + 0.0955713i
\(235\) 575373.i 0.679641i
\(236\) −123894. 225208.i −0.144801 0.263211i
\(237\) 139735. + 242028.i 0.161597 + 0.279895i
\(238\) 30763.8 2.97903e6i 0.0352045 3.40904i
\(239\) 69064.5i 0.0782096i −0.999235 0.0391048i \(-0.987549\pi\)
0.999235 0.0391048i \(-0.0124506\pi\)
\(240\) 183158. 288982.i 0.205257 0.323849i
\(241\) 336054. 194021.i 0.372706 0.215182i −0.301934 0.953329i \(-0.597632\pi\)
0.674640 + 0.738147i \(0.264299\pi\)
\(242\) −335883. 595894.i −0.368680 0.654080i
\(243\) −198699. 344156.i −0.215864 0.373887i
\(244\) −213191. 4403.63i −0.229242 0.00473518i
\(245\) −434399. + 752401.i −0.462353 + 0.800819i
\(246\) −554851. 328029.i −0.584573 0.345601i
\(247\) 330811. 252505.i 0.345014 0.263346i
\(248\) −974947. 30212.9i −1.00659 0.0311934i
\(249\) 180499. + 104211.i 0.184492 + 0.106516i
\(250\) −381657. 677101.i −0.386209 0.685178i
\(251\) 1.63726e6 945272.i 1.64034 0.947049i 0.659624 0.751596i \(-0.270715\pi\)
0.980713 0.195453i \(-0.0626179\pi\)
\(252\) −8110.17 + 392634.i −0.00804505 + 0.389481i
\(253\) 94961.2 + 164478.i 0.0932706 + 0.161549i
\(254\) −173749. + 293891.i −0.168981 + 0.285826i
\(255\) −767228. −0.738880
\(256\) −597434. + 861734.i −0.569757 + 0.821813i
\(257\) 478925. 276508.i 0.452309 0.261140i −0.256496 0.966545i \(-0.582568\pi\)
0.708805 + 0.705405i \(0.249235\pi\)
\(258\) 547037. + 323409.i 0.511644 + 0.302485i
\(259\) 2.81839e6 2.61066
\(260\) −175738. 106361.i −0.161225 0.0975774i
\(261\) 113217. + 65365.9i 0.102875 + 0.0593950i
\(262\) 5890.43 570401.i 0.00530144 0.513366i
\(263\) 975033. + 562935.i 0.869220 + 0.501844i 0.867089 0.498153i \(-0.165988\pi\)
0.00213113 + 0.999998i \(0.499322\pi\)
\(264\) −424355. 262855.i −0.374731 0.232117i
\(265\) 706718.i 0.618204i
\(266\) 1.63552e6 1.22186e6i 1.41727 1.05881i
\(267\) 593908.i 0.509848i
\(268\) −892026. 18425.5i −0.758649 0.0156705i
\(269\) −608467. 351298.i −0.512691 0.296003i 0.221248 0.975218i \(-0.428987\pi\)
−0.733939 + 0.679215i \(0.762320\pi\)
\(270\) 560390. + 5787.04i 0.467822 + 0.00483111i
\(271\) 124374. + 71807.5i 0.102874 + 0.0593945i 0.550554 0.834799i \(-0.314416\pi\)
−0.447680 + 0.894194i \(0.647750\pi\)
\(272\) 2.34939e6 + 97098.4i 1.92545 + 0.0795774i
\(273\) −834976. −0.678059
\(274\) 285000. 482069.i 0.229334 0.387911i
\(275\) −439933. + 253996.i −0.350796 + 0.202532i
\(276\) −357287. 216239.i −0.282322 0.170868i
\(277\) −979935. −0.767358 −0.383679 0.923467i \(-0.625343\pi\)
−0.383679 + 0.923467i \(0.625343\pi\)
\(278\) −1.48915e6 880389.i −1.15565 0.683223i
\(279\) −144167. 249705.i −0.110881 0.192051i
\(280\) −856664. 530637.i −0.653004 0.404485i
\(281\) 1.69676e6 979625.i 1.28190 0.740106i 0.304706 0.952446i \(-0.401442\pi\)
0.977196 + 0.212340i \(0.0681085\pi\)
\(282\) −1.60805e6 + 906401.i −1.20414 + 0.678731i
\(283\) 7626.57 + 4403.20i 0.00566061 + 0.00326815i 0.502828 0.864387i \(-0.332293\pi\)
−0.497167 + 0.867655i \(0.665626\pi\)
\(284\) 708936. + 1.28866e6i 0.521568 + 0.948075i
\(285\) −318997. 417923.i −0.232635 0.304778i
\(286\) −152522. + 257987.i −0.110260 + 0.186502i
\(287\) −949217. + 1.64409e6i −0.680238 + 1.17821i
\(288\) −309548. 15996.9i −0.219911 0.0113646i
\(289\) −1.92652e6 3.33683e6i −1.35684 2.35012i
\(290\) −292226. + 164717.i −0.204044 + 0.115012i
\(291\) 221092. 127648.i 0.153053 0.0883651i
\(292\) −1.36971e6 2.48977e6i −0.940093 1.70884i
\(293\) 2.01732e6i 1.37279i −0.727227 0.686397i \(-0.759191\pi\)
0.727227 0.686397i \(-0.240809\pi\)
\(294\) −2.78713e6 28782.2i −1.88057 0.0194203i
\(295\) 97481.7 + 168843.i 0.0652181 + 0.112961i
\(296\) −68901.7 + 2.22341e6i −0.0457089 + 1.47499i
\(297\) 817640.i 0.537862i
\(298\) 77235.2 + 797.593i 0.0503819 + 0.000520284i
\(299\) −125372. + 217150.i −0.0811001 + 0.140470i
\(300\) 578381. 955648.i 0.371031 0.613048i
\(301\) 935849. 1.62094e6i 0.595373 1.03122i
\(302\) 1.32076e6 + 2.34317e6i 0.833307 + 1.47838i
\(303\) 1.48445e6 0.928877
\(304\) 923933. + 1.32012e6i 0.573398 + 0.819277i
\(305\) 161740. 0.0995561
\(306\) 341304. + 605510.i 0.208371 + 0.369673i
\(307\) −348611. + 603812.i −0.211103 + 0.365642i −0.952060 0.305911i \(-0.901039\pi\)
0.740957 + 0.671553i \(0.234372\pi\)
\(308\) −761239. + 1.25778e6i −0.457240 + 0.755489i
\(309\) −230722. + 399623.i −0.137466 + 0.238097i
\(310\) 739814. + 7639.92i 0.437238 + 0.00451528i
\(311\) 734904.i 0.430853i 0.976520 + 0.215427i \(0.0691142\pi\)
−0.976520 + 0.215427i \(0.930886\pi\)
\(312\) 20412.9 658708.i 0.0118718 0.383095i
\(313\) 510787. + 884709.i 0.294699 + 0.510434i 0.974915 0.222578i \(-0.0714472\pi\)
−0.680216 + 0.733012i \(0.738114\pi\)
\(314\) −2.50862e6 25906.1i −1.43586 0.0148278i
\(315\) 297877.i 0.169145i
\(316\) 313146. + 569217.i 0.176412 + 0.320671i
\(317\) −1.66793e6 + 962981.i −0.932245 + 0.538232i −0.887521 0.460767i \(-0.847574\pi\)
−0.0447242 + 0.998999i \(0.514241\pi\)
\(318\) 1.97514e6 1.11331e6i 1.09529 0.617375i
\(319\) 244708. + 423847.i 0.134639 + 0.233202i
\(320\) 439559. 662845.i 0.239962 0.361857i
\(321\) 390741. 676783.i 0.211654 0.366595i
\(322\) −625988. + 1.05884e6i −0.336454 + 0.569102i
\(323\) 1.39126e6 3.33476e6i 0.741995 1.77852i
\(324\) 666064. + 1.21073e6i 0.352496 + 0.640745i
\(325\) −580818. 335335.i −0.305022 0.176105i
\(326\) 2.18384e6 1.23095e6i 1.13809 0.641499i
\(327\) 1.79156e6 1.03436e6i 0.926534 0.534934i
\(328\) −1.27381e6 789025.i −0.653762 0.404954i
\(329\) 2.71839e6 + 4.70838e6i 1.38459 + 2.39818i
\(330\) 325923. + 192686.i 0.164752 + 0.0974015i
\(331\) −1.44174e6 −0.723296 −0.361648 0.932315i \(-0.617786\pi\)
−0.361648 + 0.932315i \(0.617786\pi\)
\(332\) 414504. + 250868.i 0.206388 + 0.124911i
\(333\) −569463. + 328780.i −0.281420 + 0.162478i
\(334\) −1.19699e6 + 2.02468e6i −0.587118 + 0.993092i
\(335\) 676747. 0.329469
\(336\) 133499. 3.23014e6i 0.0645105 1.56089i
\(337\) 2.52805e6 + 1.45957e6i 1.21258 + 0.700084i 0.963321 0.268353i \(-0.0864793\pi\)
0.249260 + 0.968437i \(0.419813\pi\)
\(338\) 1.70458e6 + 17602.9i 0.811571 + 0.00838093i
\(339\) 357968. + 206673.i 0.169179 + 0.0976753i
\(340\) −1.78315e6 36832.5i −0.836549 0.0172796i
\(341\) 1.07943e6i 0.502699i
\(342\) −187926. + 437672.i −0.0868802 + 0.202341i
\(343\) 4.35471e6i 1.99859i
\(344\) 1.25587e6 + 777913.i 0.572201 + 0.354434i
\(345\) 274332. + 158386.i 0.124088 + 0.0716422i
\(346\) −24165.6 + 2.34008e6i −0.0108519 + 1.05085i
\(347\) −74868.9 43225.6i −0.0333793 0.0192716i 0.483217 0.875500i \(-0.339468\pi\)
−0.516597 + 0.856229i \(0.672801\pi\)
\(348\) −920704. 557232.i −0.407542 0.246654i
\(349\) 3.16794e6 1.39224 0.696119 0.717927i \(-0.254909\pi\)
0.696119 + 0.717927i \(0.254909\pi\)
\(350\) −2.83211e6 1.67435e6i −1.23578 0.730593i
\(351\) 934858. 539741.i 0.405021 0.233839i
\(352\) −973646. 631286.i −0.418836 0.271562i
\(353\) −355268. −0.151747 −0.0758735 0.997117i \(-0.524175\pi\)
−0.0758735 + 0.997117i \(0.524175\pi\)
\(354\) −318318. + 538425.i −0.135006 + 0.228359i
\(355\) −557799. 966137.i −0.234913 0.406881i
\(356\) 28511.8 1.38033e6i 0.0119234 0.577242i
\(357\) −6.27837e6 + 3.62482e6i −2.60721 + 1.50527i
\(358\) 814010. + 1.44414e6i 0.335677 + 0.595529i
\(359\) 357776. + 206562.i 0.146513 + 0.0845891i 0.571464 0.820627i \(-0.306376\pi\)
−0.424952 + 0.905216i \(0.639709\pi\)
\(360\) 234993. + 7282.26i 0.0955650 + 0.00296149i
\(361\) 2.39496e6 628680.i 0.967231 0.253899i
\(362\) −190247. 112474.i −0.0763038 0.0451109i
\(363\) −832278. + 1.44155e6i −0.331514 + 0.574199i
\(364\) −1.94061e6 40084.9i −0.767688 0.0158572i
\(365\) 1.07770e6 + 1.86664e6i 0.423416 + 0.733378i
\(366\) 254794. + 452032.i 0.0994227 + 0.176387i
\(367\) −31653.2 + 18275.0i −0.0122674 + 0.00708258i −0.506121 0.862462i \(-0.668921\pi\)
0.493854 + 0.869545i \(0.335588\pi\)
\(368\) −820008. 519724.i −0.315645 0.200057i
\(369\) 442925.i 0.169342i
\(370\) 17423.1 1.68718e6i 0.00661641 0.640702i
\(371\) −3.33893e6 5.78320e6i −1.25943 2.18139i
\(372\) 1.14410e6 + 2.07967e6i 0.428653 + 0.779179i
\(373\) 894967.i 0.333069i 0.986036 + 0.166535i \(0.0532578\pi\)
−0.986036 + 0.166535i \(0.946742\pi\)
\(374\) −26870.3 + 2.60199e6i −0.00993330 + 0.961894i
\(375\) −945699. + 1.63800e6i −0.347276 + 0.601499i
\(376\) −3.78087e6 + 2.02941e6i −1.37918 + 0.740288i
\(377\) −323074. + 559580.i −0.117071 + 0.202772i
\(378\) 4.61312e6 2.60024e6i 1.66060 0.936018i
\(379\) 1.82735e6 0.653466 0.326733 0.945117i \(-0.394052\pi\)
0.326733 + 0.945117i \(0.394052\pi\)
\(380\) −721333. 986629.i −0.256258 0.350506i
\(381\) 830796. 0.293212
\(382\) 1.42824e6 805045.i 0.500775 0.282268i
\(383\) −1.43522e6 + 2.48587e6i −0.499943 + 0.865927i −1.00000 6.56136e-5i \(-0.999979\pi\)
0.500057 + 0.865993i \(0.333312\pi\)
\(384\) 2.54497e6 + 184285.i 0.880754 + 0.0637765i
\(385\) 557575. 965749.i 0.191713 0.332057i
\(386\) −13326.1 + 1.29044e6i −0.00455235 + 0.440828i
\(387\) 436687.i 0.148215i
\(388\) 519980. 286058.i 0.175350 0.0964662i
\(389\) −2.72441e6 4.71881e6i −0.912847 1.58110i −0.810024 0.586397i \(-0.800546\pi\)
−0.102823 0.994700i \(-0.532787\pi\)
\(390\) −5161.79 + 499844.i −0.00171846 + 0.166407i
\(391\) 2.17707e6i 0.720161i
\(392\) −6.47633e6 200697.i −2.12870 0.0659667i
\(393\) −1.20213e6 + 694052.i −0.392619 + 0.226679i
\(394\) −1.58038e6 2.80377e6i −0.512887 0.909918i
\(395\) −246387. 426755.i −0.0794557 0.137621i
\(396\) 7083.73 342941.i 0.00226999 0.109896i
\(397\) −2.16476e6 + 3.74947e6i −0.689339 + 1.19397i 0.282712 + 0.959205i \(0.408766\pi\)
−0.972052 + 0.234766i \(0.924568\pi\)
\(398\) 4.23810e6 + 2.50558e6i 1.34111 + 0.792866i
\(399\) −4.58491e6 1.91282e6i −1.44178 0.601508i
\(400\) 1.39012e6 2.19330e6i 0.434413 0.685406i
\(401\) −2.82108e6 1.62875e6i −0.876102 0.505818i −0.00673060 0.999977i \(-0.502142\pi\)
−0.869371 + 0.494160i \(0.835476\pi\)
\(402\) 1.06610e6 + 1.89138e6i 0.329028 + 0.583731i
\(403\) 1.23418e6 712553.i 0.378543 0.218552i
\(404\) 3.45008e6 + 71264.1i 1.05166 + 0.0217229i
\(405\) −524068. 907712.i −0.158763 0.274986i
\(406\) −1.61312e6 + 2.72855e6i −0.485683 + 0.821518i
\(407\) −2.46168e6 −0.736624
\(408\) −2.70611e6 5.04158e6i −0.804813 1.49940i
\(409\) 5.63646e6 3.25421e6i 1.66609 0.961917i 0.696374 0.717679i \(-0.254796\pi\)
0.969715 0.244238i \(-0.0785377\pi\)
\(410\) 978339. + 578396.i 0.287428 + 0.169928i
\(411\) −1.36275e6 −0.397935
\(412\) −555418. + 917707.i −0.161204 + 0.266355i
\(413\) 1.59542e6 + 921117.i 0.460257 + 0.265729i
\(414\) 2963.45 286966.i 0.000849760 0.0822868i
\(415\) −318265. 183750.i −0.0907127 0.0523730i
\(416\) 79065.2 1.52995e6i 0.0224002 0.433456i
\(417\) 4.20966e6i 1.18551i
\(418\) −1.42852e6 + 1.06722e6i −0.399896 + 0.298753i
\(419\) 489862.i 0.136314i −0.997675 0.0681568i \(-0.978288\pi\)
0.997675 0.0681568i \(-0.0217118\pi\)
\(420\) −50640.4 + 2.45163e6i −0.0140079 + 0.678159i
\(421\) 1.68028e6 + 970108.i 0.462036 + 0.266757i 0.712900 0.701266i \(-0.247381\pi\)
−0.250864 + 0.968022i \(0.580715\pi\)
\(422\) 631301. + 6519.32i 0.172566 + 0.00178206i
\(423\) −1.09852e6 634229.i −0.298508 0.172343i
\(424\) 4.64396e6 2.49268e6i 1.25451 0.673368i
\(425\) −5.82306e6 −1.56379
\(426\) 1.82145e6 3.08092e6i 0.486287 0.822539i
\(427\) 1.32355e6 764151.i 0.351294 0.202819i
\(428\) 940630. 1.55419e6i 0.248204 0.410103i
\(429\) 729299. 0.191321
\(430\) −964561. 570250.i −0.251570 0.148728i
\(431\) −2.17056e6 3.75953e6i −0.562833 0.974855i −0.997248 0.0741421i \(-0.976378\pi\)
0.434415 0.900713i \(-0.356955\pi\)
\(432\) 1.93854e6 + 3.70283e6i 0.499764 + 0.954606i
\(433\) −753960. + 435299.i −0.193254 + 0.111575i −0.593505 0.804830i \(-0.702256\pi\)
0.400251 + 0.916406i \(0.368923\pi\)
\(434\) 6.09013e6 3.43278e6i 1.55204 0.874826i
\(435\) 706935. + 408149.i 0.179125 + 0.103418i
\(436\) 4.21350e6 2.31799e6i 1.06152 0.583976i
\(437\) −1.18589e6 + 905177.i −0.297057 + 0.226741i
\(438\) −3.51915e6 + 5.95253e6i −0.876501 + 1.48257i
\(439\) −1.99396e6 + 3.45365e6i −0.493805 + 0.855296i −0.999975 0.00713827i \(-0.997728\pi\)
0.506169 + 0.862434i \(0.331061\pi\)
\(440\) 748243. + 463478.i 0.184251 + 0.114129i
\(441\) −957669. 1.65873e6i −0.234487 0.406143i
\(442\) −2.99276e6 + 1.68691e6i −0.728645 + 0.410710i
\(443\) 1.50123e6 866737.i 0.363445 0.209835i −0.307146 0.951662i \(-0.599374\pi\)
0.670591 + 0.741827i \(0.266041\pi\)
\(444\) 4.74278e6 2.60916e6i 1.14176 0.628121i
\(445\) 1.04721e6i 0.250687i
\(446\) 5.24304e6 + 54143.9i 1.24809 + 0.0128888i
\(447\) −93978.1 162775.i −0.0222463 0.0385317i
\(448\) 465342. 7.50090e6i 0.109541 1.76571i
\(449\) 5.95242e6i 1.39341i 0.717360 + 0.696703i \(0.245350\pi\)
−0.717360 + 0.696703i \(0.754650\pi\)
\(450\) 767558. + 7926.42i 0.178682 + 0.00184521i
\(451\) 829082. 1.43601e6i 0.191936 0.332442i
\(452\) 822049. + 497524.i 0.189257 + 0.114543i
\(453\) 3.27267e6 5.66843e6i 0.749302 1.29783i
\(454\) 701662. + 1.24483e6i 0.159767 + 0.283445i
\(455\) 1.47227e6 0.333394
\(456\) 1.62110e6 3.57025e6i 0.365088 0.804056i
\(457\) −869301. −0.194706 −0.0973530 0.995250i \(-0.531038\pi\)
−0.0973530 + 0.995250i \(0.531038\pi\)
\(458\) −1.36769e6 2.42643e6i −0.304665 0.540510i
\(459\) 4.68627e6 8.11686e6i 1.03823 1.79828i
\(460\) 629985. + 381282.i 0.138815 + 0.0840140i
\(461\) 1.77528e6 3.07488e6i 0.389059 0.673870i −0.603264 0.797541i \(-0.706134\pi\)
0.992323 + 0.123671i \(0.0394669\pi\)
\(462\) 3.57744e6 + 36943.6i 0.779772 + 0.00805256i
\(463\) 2.63297e6i 0.570813i 0.958407 + 0.285407i \(0.0921286\pi\)
−0.958407 + 0.285407i \(0.907871\pi\)
\(464\) −2.11310e6 1.33929e6i −0.455644 0.288788i
\(465\) −900190. 1.55917e6i −0.193064 0.334397i
\(466\) 1.73095e6 + 17875.2i 0.369249 + 0.00381316i
\(467\) 4.82022e6i 1.02276i 0.859354 + 0.511381i \(0.170866\pi\)
−0.859354 + 0.511381i \(0.829134\pi\)
\(468\) 396782. 218283.i 0.0837408 0.0460687i
\(469\) 5.53795e6 3.19734e6i 1.16256 0.671206i
\(470\) 2.83539e6 1.59821e6i 0.592064 0.333725i
\(471\) 3.05244e6 + 5.28698e6i 0.634008 + 1.09813i
\(472\) −765667. + 1.23610e6i −0.158192 + 0.255387i
\(473\) −817405. + 1.41579e6i −0.167990 + 0.290968i
\(474\) 804556. 1.36088e6i 0.164479 0.278211i
\(475\) −2.42110e6 3.17193e6i −0.492356 0.645044i
\(476\) −1.47659e7 + 8.12321e6i −2.98705 + 1.64327i
\(477\) 1.34928e6 + 779009.i 0.271523 + 0.156764i
\(478\) −340344. + 191840.i −0.0681317 + 0.0384033i
\(479\) −6.83982e6 + 3.94897e6i −1.36209 + 0.786403i −0.989902 0.141754i \(-0.954726\pi\)
−0.372189 + 0.928157i \(0.621393\pi\)
\(480\) −1.93284e6 99885.5i −0.382906 0.0197879i
\(481\) −1.62501e6 2.81460e6i −0.320253 0.554694i
\(482\) −1.88958e6 1.11712e6i −0.370465 0.219019i
\(483\) 2.99322e6 0.583808
\(484\) −2.00354e6 + 3.31042e6i −0.388763 + 0.642346i
\(485\) −389840. + 225074.i −0.0752544 + 0.0434482i
\(486\) −1.14405e6 + 1.93513e6i −0.219713 + 0.371638i
\(487\) −7.74832e6 −1.48042 −0.740210 0.672375i \(-0.765274\pi\)
−0.740210 + 0.672375i \(0.765274\pi\)
\(488\) 570477. + 1.06282e6i 0.108440 + 0.202028i
\(489\) −5.28300e6 3.05014e6i −0.999100 0.576830i
\(490\) 4.91440e6 + 50750.1i 0.924657 + 0.00954875i
\(491\) −3.83819e6 2.21598e6i −0.718494 0.414823i 0.0957042 0.995410i \(-0.469490\pi\)
−0.814198 + 0.580587i \(0.802823\pi\)
\(492\) −75299.3 + 3.64543e6i −0.0140242 + 0.678947i
\(493\) 5.61014e6i 1.03958i
\(494\) −2.16321e6 928830.i −0.398825 0.171245i
\(495\) 260177.i 0.0477260i
\(496\) 2.55921e6 + 4.88839e6i 0.467092 + 0.892198i
\(497\) −9.12915e6 5.27072e6i −1.65783 0.957147i
\(498\) 12174.8 1.17895e6i 0.00219983 0.213021i
\(499\) −4.16078e6 2.40223e6i −0.748037 0.431879i 0.0769472 0.997035i \(-0.475483\pi\)
−0.824984 + 0.565156i \(0.808816\pi\)
\(500\) −2.27658e6 + 3.76155e6i −0.407247 + 0.672887i
\(501\) 5.72352e6 1.01875
\(502\) −9.20603e6 5.44262e6i −1.63047 0.963937i
\(503\) 677920. 391397.i 0.119470 0.0689760i −0.439074 0.898451i \(-0.644693\pi\)
0.558544 + 0.829475i \(0.311360\pi\)
\(504\) 1.95740e6 1.05065e6i 0.343244 0.184239i
\(505\) −2.61744e6 −0.456719
\(506\) 546761. 924829.i 0.0949339 0.160578i
\(507\) −2.07410e6 3.59245e6i −0.358352 0.620684i
\(508\) 1.93089e6 + 39884.2i 0.331970 + 0.00685711i
\(509\) 4.30655e6 2.48639e6i 0.736775 0.425377i −0.0841205 0.996456i \(-0.526808\pi\)
0.820896 + 0.571078i \(0.193475\pi\)
\(510\) 2.13112e6 + 3.78084e6i 0.362813 + 0.643670i
\(511\) 1.76381e7 + 1.01834e7i 2.98813 + 1.72520i
\(512\) 5.90604e6 + 550481.i 0.995684 + 0.0928042i
\(513\) 6.36985e6 822120.i 1.06865 0.137925i
\(514\) −2.69291e6 1.59206e6i −0.449588 0.265797i
\(515\) 406820. 704634.i 0.0675903 0.117070i
\(516\) 74238.8 3.59409e6i 0.0122746 0.594244i
\(517\) −2.37434e6 4.11248e6i −0.390676 0.676670i
\(518\) −7.82860e6 1.38888e7i −1.28192 2.27426i
\(519\) 4.93178e6 2.84737e6i 0.803684 0.464007i
\(520\) −35992.9 + 1.16146e6i −0.00583725 + 0.188364i
\(521\) 1.11322e7i 1.79675i 0.439234 + 0.898373i \(0.355250\pi\)
−0.439234 + 0.898373i \(0.644750\pi\)
\(522\) 7636.59 739492.i 0.00122666 0.118784i
\(523\) 4.16229e6 + 7.20931e6i 0.665394 + 1.15250i 0.979178 + 0.203001i \(0.0650696\pi\)
−0.313785 + 0.949494i \(0.601597\pi\)
\(524\) −2.82726e6 + 1.55537e6i −0.449818 + 0.247460i
\(525\) 8.00604e6i 1.26771i
\(526\) 65766.8 6.36855e6i 0.0103644 1.00364i
\(527\) 6.18670e6 1.07157e7i 0.970360 1.68071i
\(528\) −116603. + 2.82132e6i −0.0182023 + 0.440421i
\(529\) −2.76874e6 + 4.79560e6i −0.430173 + 0.745081i
\(530\) −3.48265e6 + 1.96304e6i −0.538543 + 0.303557i
\(531\) −429813. −0.0661520
\(532\) −1.05642e7 4.66578e6i −1.61829 0.714736i
\(533\) 2.18917e6 0.333782
\(534\) −2.92673e6 + 1.64969e6i −0.444150 + 0.250351i
\(535\) −688972. + 1.19333e6i −0.104068 + 0.180251i
\(536\) 2.38697e6 + 4.44702e6i 0.358868 + 0.668586i
\(537\) 2.01702e6 3.49358e6i 0.301838 0.522799i
\(538\) −41041.6 + 3.97428e6i −0.00611320 + 0.591974i
\(539\) 7.17038e6i 1.06309i
\(540\) −1.52807e6 2.77764e6i −0.225507 0.409912i
\(541\) 3.03694e6 + 5.26014e6i 0.446111 + 0.772687i 0.998129 0.0611451i \(-0.0194753\pi\)
−0.552018 + 0.833832i \(0.686142\pi\)
\(542\) 8389.15 812366.i 0.00122665 0.118783i
\(543\) 537806.i 0.0782755i
\(544\) −6.04737e6 1.18473e7i −0.876131 1.71641i
\(545\) −3.15895e6 + 1.82382e6i −0.455567 + 0.263022i
\(546\) 2.31930e6 + 4.11470e6i 0.332948 + 0.590686i
\(547\) 4.12606e6 + 7.14654e6i 0.589613 + 1.02124i 0.994283 + 0.106777i \(0.0340529\pi\)
−0.404670 + 0.914463i \(0.632614\pi\)
\(548\) −3.16724e6 65421.9i −0.450536 0.00930619i
\(549\) −178285. + 308798.i −0.0252455 + 0.0437264i
\(550\) 2.47367e6 + 1.46244e6i 0.348686 + 0.206144i
\(551\) −3.05594e6 + 2.33258e6i −0.428811 + 0.327308i
\(552\) −73175.8 + 2.36133e6i −0.0102216 + 0.329844i
\(553\) −4.03246e6 2.32814e6i −0.560734 0.323740i
\(554\) 2.72195e6 + 4.82905e6i 0.376796 + 0.668478i
\(555\) −3.55576e6 + 2.05292e6i −0.490005 + 0.282904i
\(556\) −202094. + 9.78387e6i −0.0277246 + 1.34222i
\(557\) 1.87472e6 + 3.24710e6i 0.256034 + 0.443464i 0.965176 0.261602i \(-0.0842508\pi\)
−0.709142 + 0.705066i \(0.750917\pi\)
\(558\) −830077. + 1.40405e6i −0.112858 + 0.190896i
\(559\) −2.15834e6 −0.292140
\(560\) −235392. + 5.69552e6i −0.0317191 + 0.767473i
\(561\) 5.48376e6 3.16605e6i 0.735650 0.424728i
\(562\) −9.54059e6 5.64042e6i −1.27419 0.753304i
\(563\) 7.25302e6 0.964379 0.482189 0.876067i \(-0.339842\pi\)
0.482189 + 0.876067i \(0.339842\pi\)
\(564\) 8.93335e6 + 5.40668e6i 1.18254 + 0.715702i
\(565\) −631186. 364415.i −0.0831833 0.0480259i
\(566\) 514.418 49813.9i 6.74956e−5 0.00653596i
\(567\) −8.57709e6 4.95198e6i −1.12042 0.646877i
\(568\) 4.38122e6 7.07308e6i 0.569802 0.919894i
\(569\) 1.12624e7i 1.45831i −0.684350 0.729154i \(-0.739914\pi\)
0.684350 0.729154i \(-0.260086\pi\)
\(570\) −1.17342e6 + 2.73285e6i −0.151275 + 0.352313i
\(571\) 8.30831e6i 1.06641i 0.845987 + 0.533203i \(0.179012\pi\)
−0.845987 + 0.533203i \(0.820988\pi\)
\(572\) 1.69500e6 + 35011.6i 0.216611 + 0.00447427i
\(573\) −3.45510e6 1.99480e6i −0.439617 0.253813i
\(574\) 1.07386e7 + 110895.i 1.36040 + 0.0140486i
\(575\) 2.08211e6 + 1.20211e6i 0.262624 + 0.151626i
\(576\) 780997. + 1.56987e6i 0.0980829 + 0.197154i
\(577\) −928000. −0.116040 −0.0580201 0.998315i \(-0.518479\pi\)
−0.0580201 + 0.998315i \(0.518479\pi\)
\(578\) −1.10924e7 + 1.87624e7i −1.38104 + 2.33598i
\(579\) 2.71963e6 1.57018e6i 0.337142 0.194649i
\(580\) 1.62343e6 + 982536.i 0.200384 + 0.121277i
\(581\) −3.47256e6 −0.426785
\(582\) −1.24316e6 734961.i −0.152132 0.0899408i
\(583\) 2.91635e6 + 5.05127e6i 0.355360 + 0.615501i
\(584\) −8.46479e6 + 1.36656e7i −1.02703 + 1.65805i
\(585\) −297476. + 171748.i −0.0359387 + 0.0207492i
\(586\) −9.94120e6 + 5.60348e6i −1.19590 + 0.674084i
\(587\) −4.59699e6 2.65407e6i −0.550653 0.317920i 0.198732 0.980054i \(-0.436318\pi\)
−0.749385 + 0.662134i \(0.769651\pi\)
\(588\) 7.59996e6 + 1.38147e7i 0.906500 + 1.64778i
\(589\) 8.40932e6 1.08534e6i 0.998787 0.128908i
\(590\) 561273. 949376.i 0.0663811 0.112282i
\(591\) −3.91600e6 + 6.78270e6i −0.461183 + 0.798793i
\(592\) 1.11482e7 5.83639e6i 1.30737 0.684447i
\(593\) 5.64639e6 + 9.77984e6i 0.659378 + 1.14208i 0.980777 + 0.195132i \(0.0625137\pi\)
−0.321399 + 0.946944i \(0.604153\pi\)
\(594\) −4.02927e6 + 2.27115e6i −0.468554 + 0.264107i
\(595\) 1.10703e7 6.39144e6i 1.28194 0.740127i
\(596\) −210605. 382825.i −0.0242858 0.0441453i
\(597\) 1.19806e7i 1.37576i
\(598\) 1.41834e6 + 14647.0i 0.162192 + 0.00167492i
\(599\) −4.76084e6 8.24601e6i −0.542146 0.939024i −0.998781 0.0493701i \(-0.984279\pi\)
0.456635 0.889654i \(-0.349055\pi\)
\(600\) −6.31592e6 195726.i −0.716240 0.0221957i
\(601\) 9.41943e6i 1.06375i −0.846824 0.531874i \(-0.821488\pi\)
0.846824 0.531874i \(-0.178512\pi\)
\(602\) −1.05874e7 109334.i −1.19068 0.0122960i
\(603\) −745973. + 1.29206e6i −0.0835468 + 0.144707i
\(604\) 7.87830e6 1.30172e7i 0.878699 1.45186i
\(605\) 1.46751e6 2.54180e6i 0.163002 0.282328i
\(606\) −4.12333e6 7.31524e6i −0.456107 0.809184i
\(607\) 979225. 0.107873 0.0539363 0.998544i \(-0.482823\pi\)
0.0539363 + 0.998544i \(0.482823\pi\)
\(608\) 3.93907e6 8.21996e6i 0.432151 0.901801i
\(609\) 7.71330e6 0.842747
\(610\) −449263. 797043.i −0.0488851 0.0867276i
\(611\) 3.13470e6 5.42946e6i 0.339698 0.588374i
\(612\) 2.03587e6 3.36384e6i 0.219721 0.363042i
\(613\) 2.89564e6 5.01540e6i 0.311239 0.539081i −0.667392 0.744706i \(-0.732589\pi\)
0.978631 + 0.205625i \(0.0659228\pi\)
\(614\) 3.94387e6 + 40727.6i 0.422184 + 0.00435982i
\(615\) 2.76565e6i 0.294856i
\(616\) 8.31274e6 + 257605.i 0.882657 + 0.0273529i
\(617\) 8.56912e6 + 1.48422e7i 0.906199 + 1.56958i 0.819300 + 0.573365i \(0.194362\pi\)
0.0868987 + 0.996217i \(0.472304\pi\)
\(618\) 2.61019e6 + 26954.9i 0.274916 + 0.00283901i
\(619\) 1.37983e7i 1.44743i 0.690099 + 0.723715i \(0.257567\pi\)
−0.690099 + 0.723715i \(0.742433\pi\)
\(620\) −2.01732e6 3.66697e6i −0.210764 0.383114i
\(621\) −3.35127e6 + 1.93486e6i −0.348723 + 0.201335i
\(622\) 3.62155e6 2.04133e6i 0.375335 0.211562i
\(623\) 4.94759e6 + 8.56947e6i 0.510709 + 0.884573i
\(624\) −3.30276e6 + 1.72909e6i −0.339560 + 0.177769i
\(625\) −2.29480e6 + 3.97470e6i −0.234987 + 0.407010i
\(626\) 2.94097e6 4.97457e6i 0.299954 0.507364i
\(627\) 4.00464e6 + 1.67073e6i 0.406812 + 0.169721i
\(628\) 6.84051e6 + 1.24343e7i 0.692133 + 1.25812i
\(629\) −2.44376e7 1.41090e7i −2.46281 1.42191i
\(630\) −1.46791e6 + 827409.i −0.147350 + 0.0830556i
\(631\) 1.37321e6 792825.i 0.137298 0.0792691i −0.429778 0.902935i \(-0.641408\pi\)
0.567076 + 0.823666i \(0.308075\pi\)
\(632\) 1.93524e6 3.12427e6i 0.192727 0.311140i
\(633\) −768153. 1.33048e6i −0.0761971 0.131977i
\(634\) 9.37849e6 + 5.54458e6i 0.926638 + 0.547830i
\(635\) −1.46490e6 −0.144169
\(636\) −1.09726e7 6.64090e6i −1.07564 0.651005i
\(637\) 8.19834e6 4.73332e6i 0.800530 0.462186i
\(638\) 1.40896e6 2.38322e6i 0.137040 0.231799i
\(639\) 2.45943e6 0.238277
\(640\) −4.48741e6 324939.i −0.433058 0.0313582i
\(641\) −3.45879e6 1.99694e6i −0.332491 0.191964i 0.324456 0.945901i \(-0.394819\pi\)
−0.656946 + 0.753937i \(0.728152\pi\)
\(642\) −4.42049e6 45649.6i −0.423285 0.00437118i
\(643\) −9.80995e6 5.66378e6i −0.935706 0.540230i −0.0470943 0.998890i \(-0.514996\pi\)
−0.888612 + 0.458660i \(0.848329\pi\)
\(644\) 6.95668e6 + 143696.i 0.660978 + 0.0136530i
\(645\) 2.72670e6i 0.258070i
\(646\) −2.02979e7 + 2.40692e6i −1.91369 + 0.226924i
\(647\) 8.38998e6i 0.787953i −0.919121 0.393976i \(-0.871099\pi\)
0.919121 0.393976i \(-0.128901\pi\)
\(648\) 4.11628e6 6.64535e6i 0.385094 0.621699i
\(649\) −1.39350e6 804538.i −0.129866 0.0749781i
\(650\) −39176.7 + 3.79369e6i −0.00363701 + 0.352191i
\(651\) −1.47328e7 8.50601e6i −1.36249 0.786635i
\(652\) −1.21321e7 7.34261e6i −1.11767 0.676443i
\(653\) −4.12702e6 −0.378751 −0.189376 0.981905i \(-0.560646\pi\)
−0.189376 + 0.981905i \(0.560646\pi\)
\(654\) −1.00736e7 5.95554e6i −0.920960 0.544473i
\(655\) 2.11966e6 1.22378e6i 0.193047 0.111456i
\(656\) −350013. + 8.46890e6i −0.0317560 + 0.768365i
\(657\) −4.75177e6 −0.429479
\(658\) 1.56517e7 2.64744e7i 1.40928 2.38376i
\(659\) 9.45898e6 + 1.63834e7i 0.848459 + 1.46957i 0.882584 + 0.470156i \(0.155802\pi\)
−0.0341250 + 0.999418i \(0.510864\pi\)
\(660\) 44231.2 2.14135e6i 0.00395248 0.191349i
\(661\) −1.22230e7 + 7.05693e6i −1.08811 + 0.628221i −0.933073 0.359688i \(-0.882883\pi\)
−0.155037 + 0.987909i \(0.549550\pi\)
\(662\) 4.00470e6 + 7.10478e6i 0.355161 + 0.630094i
\(663\) 7.23989e6 + 4.17995e6i 0.639658 + 0.369307i
\(664\) 84894.4 2.73948e6i 0.00747238 0.241128i
\(665\) 8.08433e6 + 3.37277e6i 0.708908 + 0.295755i
\(666\) 3.20199e6 + 1.89302e6i 0.279727 + 0.165375i
\(667\) 1.15815e6 2.00598e6i 0.100798 0.174587i
\(668\) 1.33023e7 + 274770.i 1.15342 + 0.0238248i
\(669\) −6.37962e6 1.10498e7i −0.551099 0.954531i
\(670\) −1.87979e6 3.33496e6i −0.161779 0.287014i
\(671\) −1.15604e6 + 667438.i −0.0991209 + 0.0572275i
\(672\) −1.62887e7 + 8.31443e6i −1.39143 + 0.710247i
\(673\) 5.30981e6i 0.451899i −0.974139 0.225949i \(-0.927452\pi\)
0.974139 0.225949i \(-0.0725484\pi\)
\(674\) 170519. 1.65123e7i 0.0144585 1.40009i
\(675\) −5.17522e6 8.96375e6i −0.437189 0.757234i
\(676\) −4.64805e6 8.44895e6i −0.391205 0.711109i
\(677\) 1.04841e7i 0.879142i 0.898208 + 0.439571i \(0.144869\pi\)
−0.898208 + 0.439571i \(0.855131\pi\)
\(678\) 24145.3 2.33811e6i 0.00201724 0.195340i
\(679\) −2.12676e6 + 3.68365e6i −0.177028 + 0.306622i
\(680\) 4.77153e6 + 8.88955e6i 0.395718 + 0.737238i
\(681\) 1.73863e6 3.01140e6i 0.143661 0.248829i
\(682\) −5.31935e6 + 2.99832e6i −0.437922 + 0.246841i
\(683\) 1.46008e7 1.19764 0.598819 0.800884i \(-0.295637\pi\)
0.598819 + 0.800884i \(0.295637\pi\)
\(684\) 2.67882e6 289634.i 0.218929 0.0236706i
\(685\) 2.40287e6 0.195661
\(686\) 2.14597e7 1.20960e7i 1.74106 0.981368i
\(687\) −3.38896e6 + 5.86985e6i −0.273952 + 0.474499i
\(688\) 345084. 8.34963e6i 0.0277942 0.672506i
\(689\) −3.85029e6 + 6.66889e6i −0.308990 + 0.535187i
\(690\) 18503.9 1.79184e6i 0.00147959 0.143277i
\(691\) 1.81066e7i 1.44259i −0.692629 0.721294i \(-0.743548\pi\)
0.692629 0.721294i \(-0.256452\pi\)
\(692\) 1.15989e7 6.38094e6i 0.920770 0.506547i
\(693\) 1.22922e6 + 2.12907e6i 0.0972293 + 0.168406i
\(694\) −5049.97 + 489015.i −0.000398006 + 0.0385411i
\(695\) 7.42266e6i 0.582904i
\(696\) −188569. + 6.08498e6i −0.0147553 + 0.476141i
\(697\) 1.64609e7 9.50369e6i 1.28343 0.740987i
\(698\) −8.79955e6 1.56114e7i −0.683631 1.21284i
\(699\) −2.10618e6 3.64801e6i −0.163043 0.282399i
\(700\) −384348. + 1.86072e7i −0.0296469 + 1.43528i
\(701\) −9.70158e6 + 1.68036e7i −0.745672 + 1.29154i 0.204209 + 0.978927i \(0.434538\pi\)
−0.949880 + 0.312614i \(0.898795\pi\)
\(702\) −5.25655e6 3.10768e6i −0.402585 0.238009i
\(703\) −2.47517e6 1.91778e7i −0.188894 1.46356i
\(704\) −406447. + 6.55157e6i −0.0309081 + 0.498212i
\(705\) −6.85920e6 3.96016e6i −0.519757 0.300082i
\(706\) 986825. + 1.75074e6i 0.0745124 + 0.132193i
\(707\) −2.14190e7 + 1.23663e7i −1.61158 + 0.930445i
\(708\) 3.53751e6 + 73070.2i 0.265225 + 0.00547844i
\(709\) 1.75232e6 + 3.03511e6i 0.130918 + 0.226756i 0.924031 0.382319i \(-0.124874\pi\)
−0.793113 + 0.609075i \(0.791541\pi\)
\(710\) −3.21166e6 + 5.43242e6i −0.239102 + 0.404434i
\(711\) 1.08636e6 0.0805935
\(712\) −6.88136e6 + 3.69362e6i −0.508715 + 0.273056i
\(713\) −4.42427e6 + 2.55435e6i −0.325925 + 0.188173i
\(714\) 3.53022e7 + 2.08707e7i 2.59153 + 1.53212i
\(715\) −1.28593e6 −0.0940705
\(716\) 4.85557e6 8.02276e6i 0.353963 0.584846i
\(717\) 823339. + 475355.i 0.0598110 + 0.0345319i
\(718\) 24132.3 2.33686e6i 0.00174698 0.169169i
\(719\) 8.82660e6 + 5.09604e6i 0.636753 + 0.367630i 0.783363 0.621565i \(-0.213503\pi\)
−0.146610 + 0.989194i \(0.546836\pi\)
\(720\) −616851. 1.17826e6i −0.0443455 0.0847049i
\(721\) 7.68819e6i 0.550790i
\(722\) −9.75054e6 1.00559e7i −0.696122 0.717923i
\(723\) 5.34161e6i 0.380038i
\(724\) −25818.5 + 1.24994e6i −0.00183057 + 0.0886223i
\(725\) 5.36545e6 + 3.09774e6i 0.379106 + 0.218877i
\(726\) 9.41565e6 + 97233.6i 0.662993 + 0.00684660i
\(727\) −4.73684e6 2.73481e6i −0.332393 0.191907i 0.324510 0.945882i \(-0.394801\pi\)
−0.656903 + 0.753975i \(0.728134\pi\)
\(728\) 5.19287e6 + 9.67452e6i 0.363144 + 0.676552i
\(729\) 1.59638e7 1.11255
\(730\) 6.20512e6 1.04958e7i 0.430966 0.728966i
\(731\) −1.62291e7 + 9.36985e6i −1.12331 + 0.648544i
\(732\) 1.51984e6 2.51121e6i 0.104838 0.173223i
\(733\) 3.91061e6 0.268834 0.134417 0.990925i \(-0.457084\pi\)
0.134417 + 0.990925i \(0.457084\pi\)
\(734\) 177980. + 105222.i 0.0121936 + 0.00720888i
\(735\) −5.97974e6 1.03572e7i −0.408286 0.707171i
\(736\) −283432. + 5.48457e6i −0.0192866 + 0.373205i
\(737\) −4.83705e6 + 2.79267e6i −0.328029 + 0.189387i
\(738\) −2.18270e6 + 1.23031e6i −0.147521 + 0.0831520i
\(739\) −1.35740e7 7.83697e6i −0.914319 0.527883i −0.0325010 0.999472i \(-0.510347\pi\)
−0.881818 + 0.471589i \(0.843681\pi\)
\(740\) −8.36268e6 + 4.60059e6i −0.561392 + 0.308841i
\(741\) 733296. + 5.68163e6i 0.0490607 + 0.380126i
\(742\) −1.92247e7 + 3.25180e7i −1.28189 + 2.16827i
\(743\) 800160. 1.38592e6i 0.0531747 0.0921012i −0.838213 0.545343i \(-0.816399\pi\)
0.891388 + 0.453242i \(0.149733\pi\)
\(744\) 7.07052e6 1.14147e7i 0.468294 0.756018i
\(745\) 165707. + 287012.i 0.0109383 + 0.0189456i
\(746\) 4.41033e6 2.48594e6i 0.290151 0.163547i
\(747\) 701641. 405092.i 0.0460059 0.0265615i
\(748\) 1.28971e7 7.09511e6i 0.842824 0.463666i
\(749\) 1.30204e7i 0.848044i
\(750\) 1.06988e7 + 110484.i 0.694515 + 0.00717212i
\(751\) 4.71290e6 + 8.16299e6i 0.304922 + 0.528140i 0.977244 0.212118i \(-0.0680363\pi\)
−0.672322 + 0.740259i \(0.734703\pi\)
\(752\) 2.05029e7 + 1.29948e7i 1.32212 + 0.837962i
\(753\) 2.60244e7i 1.67260i
\(754\) 3.65497e6 + 37744.1i 0.234129 + 0.00241781i
\(755\) −5.77052e6 + 9.99484e6i −0.368424 + 0.638129i
\(756\) −2.56276e7 1.55104e7i −1.63081 0.987005i
\(757\) −2.50131e6 + 4.33240e6i −0.158646 + 0.274782i −0.934380 0.356277i \(-0.884046\pi\)
0.775735 + 0.631059i \(0.217379\pi\)
\(758\) −5.07580e6 9.00503e6i −0.320872 0.569262i
\(759\) −2.61439e6 −0.164727
\(760\) −2.85840e6 + 6.29522e6i −0.179510 + 0.395346i
\(761\) 2.47319e7 1.54809 0.774045 0.633131i \(-0.218231\pi\)
0.774045 + 0.633131i \(0.218231\pi\)
\(762\) −2.30769e6 4.09410e6i −0.143976 0.255430i
\(763\) −1.72335e7 + 2.98493e7i −1.07167 + 1.85619i
\(764\) −7.93440e6 4.80209e6i −0.491791 0.297644i
\(765\) −1.49119e6 + 2.58282e6i −0.0921255 + 0.159566i
\(766\) 1.62368e7 + 167674.i 0.999833 + 0.0103251i
\(767\) 2.12437e6i 0.130389i
\(768\) −6.16099e6 1.30533e7i −0.376919 0.798579i
\(769\) −2.26188e6