Properties

Label 76.5.l.a.23.7
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.7
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.53287 + 1.87585i) q^{2} +(3.32006 - 0.585416i) q^{3} +(8.96237 - 13.2543i) q^{4} +(31.7438 - 26.6362i) q^{5} +(-10.6312 + 8.29614i) q^{6} +(-51.6354 - 29.8117i) q^{7} +(-6.79985 + 63.6377i) q^{8} +(-65.4350 + 23.8164i) q^{9} +O(q^{10})\) \(q+(-3.53287 + 1.87585i) q^{2} +(3.32006 - 0.585416i) q^{3} +(8.96237 - 13.2543i) q^{4} +(31.7438 - 26.6362i) q^{5} +(-10.6312 + 8.29614i) q^{6} +(-51.6354 - 29.8117i) q^{7} +(-6.79985 + 63.6377i) q^{8} +(-65.4350 + 23.8164i) q^{9} +(-62.1812 + 153.649i) q^{10} +(-66.2459 + 38.2471i) q^{11} +(21.9963 - 49.2517i) q^{12} +(47.6602 - 270.294i) q^{13} +(238.344 + 8.46066i) q^{14} +(89.7981 - 107.017i) q^{15} +(-95.3519 - 237.579i) q^{16} +(-219.584 - 79.9221i) q^{17} +(186.497 - 206.887i) q^{18} +(-65.3930 + 355.028i) q^{19} +(-68.5442 - 659.465i) q^{20} +(-188.885 - 68.7485i) q^{21} +(162.292 - 259.389i) q^{22} +(424.356 - 505.727i) q^{23} +(14.6787 + 215.262i) q^{24} +(189.651 - 1075.56i) q^{25} +(338.654 + 1044.32i) q^{26} +(-439.794 + 253.915i) q^{27} +(-857.908 + 417.207i) q^{28} +(770.112 - 280.298i) q^{29} +(-116.497 + 546.526i) q^{30} +(-956.138 - 552.027i) q^{31} +(782.530 + 660.472i) q^{32} +(-197.550 + 165.764i) q^{33} +(925.685 - 129.553i) q^{34} +(-2433.18 + 429.035i) q^{35} +(-270.783 + 1080.75i) q^{36} +1009.86 q^{37} +(-434.954 - 1376.94i) q^{38} -925.294i q^{39} +(1479.22 + 2201.23i) q^{40} +(-198.738 - 1127.10i) q^{41} +(796.269 - 111.440i) q^{42} +(1941.94 + 2314.31i) q^{43} +(-86.7825 + 1220.83i) q^{44} +(-1442.78 + 2498.96i) q^{45} +(-550.525 + 2582.70i) q^{46} +(-580.185 - 1594.05i) q^{47} +(-455.657 - 732.958i) q^{48} +(576.977 + 999.354i) q^{49} +(1347.59 + 4155.59i) q^{50} +(-775.821 - 136.798i) q^{51} +(-3155.41 - 3054.18i) q^{52} +(990.107 + 830.798i) q^{53} +(1077.43 - 1722.04i) q^{54} +(-1084.14 + 2978.65i) q^{55} +(2248.26 - 3083.25i) q^{56} +(-9.26962 + 1217.00i) q^{57} +(-2194.91 + 2434.87i) q^{58} +(1220.87 - 3354.30i) q^{59} +(-613.633 - 2149.34i) q^{60} +(-20.3696 - 17.0922i) q^{61} +(4413.43 + 156.667i) q^{62} +(4088.77 + 720.961i) q^{63} +(-4003.52 - 865.454i) q^{64} +(-5686.70 - 9849.65i) q^{65} +(386.970 - 956.198i) q^{66} +(746.531 + 2051.08i) q^{67} +(-3027.31 + 2194.14i) q^{68} +(1112.83 - 1927.47i) q^{69} +(7791.29 - 6080.00i) q^{70} +(-3890.82 - 4636.90i) q^{71} +(-1070.67 - 4326.08i) q^{72} +(1670.93 + 9476.31i) q^{73} +(-3567.70 + 1894.34i) q^{74} -3681.97i q^{75} +(4119.56 + 4048.63i) q^{76} +4560.84 q^{77} +(1735.71 + 3268.95i) q^{78} +(5574.82 - 982.992i) q^{79} +(-9355.05 - 5001.86i) q^{80} +(3009.29 - 2525.10i) q^{81} +(2816.39 + 3609.10i) q^{82} +(3635.44 + 2098.92i) q^{83} +(-2604.07 + 1887.39i) q^{84} +(-9099.26 + 3311.86i) q^{85} +(-11201.9 - 4533.38i) q^{86} +(2392.73 - 1381.44i) q^{87} +(-1983.50 - 4475.81i) q^{88} +(-47.9543 + 271.962i) q^{89} +(409.465 - 11535.0i) q^{90} +(-10518.9 + 12535.9i) q^{91} +(-2899.82 - 10157.0i) q^{92} +(-3497.60 - 1273.02i) q^{93} +(5039.91 + 4543.22i) q^{94} +(7380.78 + 13011.8i) q^{95} +(2984.70 + 1734.70i) q^{96} +(12941.3 + 4710.26i) q^{97} +(-3913.02 - 2448.27i) q^{98} +(3423.89 - 4080.44i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.53287 + 1.87585i −0.883218 + 0.468963i
\(3\) 3.32006 0.585416i 0.368896 0.0650463i 0.0138726 0.999904i \(-0.495584\pi\)
0.355023 + 0.934857i \(0.384473\pi\)
\(4\) 8.96237 13.2543i 0.560148 0.828393i
\(5\) 31.7438 26.6362i 1.26975 1.06545i 0.275181 0.961392i \(-0.411262\pi\)
0.994571 0.104056i \(-0.0331822\pi\)
\(6\) −10.6312 + 8.29614i −0.295311 + 0.230448i
\(7\) −51.6354 29.8117i −1.05378 0.608402i −0.130078 0.991504i \(-0.541523\pi\)
−0.923706 + 0.383101i \(0.874856\pi\)
\(8\) −6.79985 + 63.6377i −0.106248 + 0.994340i
\(9\) −65.4350 + 23.8164i −0.807840 + 0.294030i
\(10\) −62.1812 + 153.649i −0.621812 + 1.53649i
\(11\) −66.2459 + 38.2471i −0.547487 + 0.316092i −0.748108 0.663577i \(-0.769037\pi\)
0.200621 + 0.979669i \(0.435704\pi\)
\(12\) 21.9963 49.2517i 0.152752 0.342026i
\(13\) 47.6602 270.294i 0.282013 1.59937i −0.433752 0.901032i \(-0.642811\pi\)
0.715765 0.698341i \(-0.246078\pi\)
\(14\) 238.344 + 8.46066i 1.21604 + 0.0431666i
\(15\) 89.7981 107.017i 0.399103 0.475632i
\(16\) −95.3519 237.579i −0.372468 0.928045i
\(17\) −219.584 79.9221i −0.759807 0.276547i −0.0670806 0.997748i \(-0.521368\pi\)
−0.692727 + 0.721200i \(0.743591\pi\)
\(18\) 186.497 206.887i 0.575610 0.638539i
\(19\) −65.3930 + 355.028i −0.181144 + 0.983457i
\(20\) −68.5442 659.465i −0.171361 1.64866i
\(21\) −188.885 68.7485i −0.428311 0.155892i
\(22\) 162.292 259.389i 0.335315 0.535929i
\(23\) 424.356 505.727i 0.802184 0.956006i −0.197521 0.980299i \(-0.563289\pi\)
0.999705 + 0.0242926i \(0.00773335\pi\)
\(24\) 14.6787 + 215.262i 0.0254838 + 0.373719i
\(25\) 189.651 1075.56i 0.303442 1.72090i
\(26\) 338.654 + 1044.32i 0.500968 + 1.54485i
\(27\) −439.794 + 253.915i −0.603285 + 0.348306i
\(28\) −857.908 + 417.207i −1.09427 + 0.532151i
\(29\) 770.112 280.298i 0.915709 0.333291i 0.159179 0.987250i \(-0.449115\pi\)
0.756530 + 0.653959i \(0.226893\pi\)
\(30\) −116.497 + 546.526i −0.129441 + 0.607251i
\(31\) −956.138 552.027i −0.994941 0.574430i −0.0881936 0.996103i \(-0.528109\pi\)
−0.906748 + 0.421674i \(0.861443\pi\)
\(32\) 782.530 + 660.472i 0.764189 + 0.644992i
\(33\) −197.550 + 165.764i −0.181405 + 0.152217i
\(34\) 925.685 129.553i 0.800766 0.112070i
\(35\) −2433.18 + 429.035i −1.98627 + 0.350232i
\(36\) −270.783 + 1080.75i −0.208938 + 0.833908i
\(37\) 1009.86 0.737662 0.368831 0.929497i \(-0.379758\pi\)
0.368831 + 0.929497i \(0.379758\pi\)
\(38\) −434.954 1376.94i −0.301215 0.953556i
\(39\) 925.294i 0.608346i
\(40\) 1479.22 + 2201.23i 0.924510 + 1.37577i
\(41\) −198.738 1127.10i −0.118226 0.670494i −0.985102 0.171970i \(-0.944987\pi\)
0.866876 0.498524i \(-0.166124\pi\)
\(42\) 796.269 111.440i 0.451399 0.0631748i
\(43\) 1941.94 + 2314.31i 1.05026 + 1.25166i 0.966905 + 0.255135i \(0.0821201\pi\)
0.0833580 + 0.996520i \(0.473436\pi\)
\(44\) −86.7825 + 1220.83i −0.0448257 + 0.630592i
\(45\) −1442.78 + 2498.96i −0.712483 + 1.23406i
\(46\) −550.525 + 2582.70i −0.260172 + 1.22056i
\(47\) −580.185 1594.05i −0.262646 0.721615i −0.998987 0.0450035i \(-0.985670\pi\)
0.736341 0.676611i \(-0.236552\pi\)
\(48\) −455.657 732.958i −0.197768 0.318124i
\(49\) 576.977 + 999.354i 0.240307 + 0.416224i
\(50\) 1347.59 + 4155.59i 0.539034 + 1.66224i
\(51\) −775.821 136.798i −0.298278 0.0525945i
\(52\) −3155.41 3054.18i −1.16694 1.12950i
\(53\) 990.107 + 830.798i 0.352477 + 0.295763i 0.801784 0.597614i \(-0.203885\pi\)
−0.449307 + 0.893377i \(0.648329\pi\)
\(54\) 1077.43 1722.04i 0.369489 0.590548i
\(55\) −1084.14 + 2978.65i −0.358393 + 0.984677i
\(56\) 2248.26 3083.25i 0.716921 0.983178i
\(57\) −9.26962 + 1217.00i −0.00285307 + 0.374576i
\(58\) −2194.91 + 2434.87i −0.652470 + 0.723802i
\(59\) 1220.87 3354.30i 0.350723 0.963603i −0.631416 0.775444i \(-0.717526\pi\)
0.982139 0.188158i \(-0.0602519\pi\)
\(60\) −613.633 2149.34i −0.170454 0.597038i
\(61\) −20.3696 17.0922i −0.00547424 0.00459343i 0.640046 0.768336i \(-0.278915\pi\)
−0.645521 + 0.763743i \(0.723360\pi\)
\(62\) 4413.43 + 156.667i 1.14814 + 0.0407562i
\(63\) 4088.77 + 720.961i 1.03018 + 0.181648i
\(64\) −4003.52 865.454i −0.977423 0.211292i
\(65\) −5686.70 9849.65i −1.34596 2.33128i
\(66\) 386.970 956.198i 0.0888361 0.219513i
\(67\) 746.531 + 2051.08i 0.166302 + 0.456912i 0.994650 0.103302i \(-0.0329409\pi\)
−0.828348 + 0.560214i \(0.810719\pi\)
\(68\) −3027.31 + 2194.14i −0.654694 + 0.474511i
\(69\) 1112.83 1927.47i 0.233738 0.404846i
\(70\) 7791.29 6080.00i 1.59006 1.24082i
\(71\) −3890.82 4636.90i −0.771835 0.919837i 0.226699 0.973965i \(-0.427207\pi\)
−0.998534 + 0.0541279i \(0.982762\pi\)
\(72\) −1070.67 4326.08i −0.206534 0.834507i
\(73\) 1670.93 + 9476.31i 0.313554 + 1.77825i 0.580215 + 0.814463i \(0.302968\pi\)
−0.266661 + 0.963790i \(0.585920\pi\)
\(74\) −3567.70 + 1894.34i −0.651516 + 0.345936i
\(75\) 3681.97i 0.654572i
\(76\) 4119.56 + 4048.63i 0.713221 + 0.700940i
\(77\) 4560.84 0.769243
\(78\) 1735.71 + 3268.95i 0.285292 + 0.537302i
\(79\) 5574.82 982.992i 0.893258 0.157506i 0.291866 0.956459i \(-0.405724\pi\)
0.601392 + 0.798954i \(0.294613\pi\)
\(80\) −9355.05 5001.86i −1.46173 0.781541i
\(81\) 3009.29 2525.10i 0.458664 0.384865i
\(82\) 2816.39 + 3609.10i 0.418856 + 0.536749i
\(83\) 3635.44 + 2098.92i 0.527716 + 0.304677i 0.740086 0.672512i \(-0.234785\pi\)
−0.212370 + 0.977189i \(0.568118\pi\)
\(84\) −2604.07 + 1887.39i −0.369057 + 0.267487i
\(85\) −9099.26 + 3311.86i −1.25941 + 0.458389i
\(86\) −11201.9 4533.38i −1.51459 0.612950i
\(87\) 2392.73 1381.44i 0.316122 0.182513i
\(88\) −1983.50 4475.81i −0.256133 0.577972i
\(89\) −47.9543 + 271.962i −0.00605407 + 0.0343343i −0.987685 0.156455i \(-0.949994\pi\)
0.981631 + 0.190789i \(0.0611046\pi\)
\(90\) 409.465 11535.0i 0.0505512 1.42407i
\(91\) −10518.9 + 12535.9i −1.27024 + 1.51382i
\(92\) −2899.82 10157.0i −0.342606 1.20003i
\(93\) −3497.60 1273.02i −0.404394 0.147187i
\(94\) 5039.91 + 4543.22i 0.570384 + 0.514172i
\(95\) 7380.78 + 13011.8i 0.817814 + 1.44175i
\(96\) 2984.70 + 1734.70i 0.323860 + 0.188227i
\(97\) 12941.3 + 4710.26i 1.37542 + 0.500612i 0.920787 0.390067i \(-0.127548\pi\)
0.454633 + 0.890679i \(0.349770\pi\)
\(98\) −3913.02 2448.27i −0.407437 0.254921i
\(99\) 3423.89 4080.44i 0.349341 0.416329i
\(100\) −12556.1 12153.3i −1.25561 1.21533i
\(101\) −604.527 + 3428.44i −0.0592616 + 0.336089i −0.999995 0.00305697i \(-0.999027\pi\)
0.940734 + 0.339146i \(0.110138\pi\)
\(102\) 2997.49 972.034i 0.288109 0.0934289i
\(103\) 2251.42 1299.86i 0.212218 0.122524i −0.390124 0.920762i \(-0.627568\pi\)
0.602342 + 0.798238i \(0.294234\pi\)
\(104\) 16876.8 + 4870.94i 1.56036 + 0.450346i
\(105\) −7827.13 + 2848.84i −0.709944 + 0.258398i
\(106\) −5056.37 1077.81i −0.450015 0.0959248i
\(107\) 3448.72 + 1991.12i 0.301224 + 0.173912i 0.642993 0.765872i \(-0.277693\pi\)
−0.341768 + 0.939784i \(0.611026\pi\)
\(108\) −576.133 + 8104.84i −0.0493941 + 0.694860i
\(109\) −1891.56 + 1587.20i −0.159209 + 0.133592i −0.718912 0.695101i \(-0.755360\pi\)
0.559703 + 0.828693i \(0.310915\pi\)
\(110\) −1757.37 12556.9i −0.145237 1.03776i
\(111\) 3352.79 591.188i 0.272120 0.0479821i
\(112\) −2159.12 + 15110.1i −0.172124 + 1.20457i
\(113\) −5364.85 −0.420146 −0.210073 0.977686i \(-0.567370\pi\)
−0.210073 + 0.977686i \(0.567370\pi\)
\(114\) −2250.16 4316.88i −0.173142 0.332170i
\(115\) 27356.9i 2.06858i
\(116\) 3186.88 12719.4i 0.236837 0.945259i
\(117\) 3318.79 + 18821.8i 0.242442 + 1.37496i
\(118\) 1979.01 + 14140.5i 0.142129 + 1.01555i
\(119\) 8955.71 + 10673.0i 0.632421 + 0.753689i
\(120\) 6199.72 + 6442.25i 0.430536 + 0.447379i
\(121\) −4394.82 + 7612.05i −0.300172 + 0.519914i
\(122\) 104.026 + 22.1740i 0.00698909 + 0.00148979i
\(123\) −1319.65 3625.70i −0.0872263 0.239652i
\(124\) −15886.0 + 7725.46i −1.03317 + 0.502436i
\(125\) −9679.17 16764.8i −0.619467 1.07295i
\(126\) −15797.5 + 5122.86i −0.995057 + 0.322680i
\(127\) −25972.7 4579.69i −1.61031 0.283941i −0.705166 0.709043i \(-0.749127\pi\)
−0.905146 + 0.425101i \(0.860238\pi\)
\(128\) 15767.4 4452.48i 0.962366 0.271758i
\(129\) 7802.19 + 6546.81i 0.468853 + 0.393415i
\(130\) 38566.9 + 24130.2i 2.28206 + 1.42782i
\(131\) 9908.05 27222.2i 0.577359 1.58628i −0.215256 0.976558i \(-0.569059\pi\)
0.792615 0.609723i \(-0.208719\pi\)
\(132\) 426.568 + 4104.02i 0.0244817 + 0.235538i
\(133\) 13960.6 16382.5i 0.789224 0.926142i
\(134\) −6484.92 5845.82i −0.361156 0.325563i
\(135\) −7197.40 + 19774.7i −0.394919 + 1.08503i
\(136\) 6579.20 13430.4i 0.355710 0.726124i
\(137\) 5161.54 + 4331.04i 0.275003 + 0.230755i 0.769850 0.638225i \(-0.220331\pi\)
−0.494846 + 0.868981i \(0.664776\pi\)
\(138\) −315.823 + 8897.00i −0.0165839 + 0.467181i
\(139\) −3248.30 572.763i −0.168123 0.0296446i 0.0889531 0.996036i \(-0.471648\pi\)
−0.257076 + 0.966391i \(0.582759\pi\)
\(140\) −16120.5 + 36095.2i −0.822473 + 1.84159i
\(141\) −2859.43 4952.68i −0.143827 0.249116i
\(142\) 22443.9 + 9082.97i 1.11307 + 0.450455i
\(143\) 7180.67 + 19728.7i 0.351150 + 0.964778i
\(144\) 11897.6 + 13275.1i 0.573767 + 0.640195i
\(145\) 16980.2 29410.6i 0.807620 1.39884i
\(146\) −23679.3 30344.2i −1.11087 1.42354i
\(147\) 2500.64 + 2980.14i 0.115722 + 0.137912i
\(148\) 9050.73 13385.0i 0.413200 0.611073i
\(149\) 2113.97 + 11988.9i 0.0952195 + 0.540016i 0.994680 + 0.103014i \(0.0328487\pi\)
−0.899460 + 0.437002i \(0.856040\pi\)
\(150\) 6906.82 + 13007.9i 0.306970 + 0.578130i
\(151\) 1447.84i 0.0634990i −0.999496 0.0317495i \(-0.989892\pi\)
0.999496 0.0317495i \(-0.0101079\pi\)
\(152\) −22148.5 6575.60i −0.958644 0.284609i
\(153\) 16272.0 0.695115
\(154\) −16112.9 + 8555.46i −0.679410 + 0.360746i
\(155\) −45055.4 + 7944.48i −1.87535 + 0.330676i
\(156\) −12264.1 8292.83i −0.503949 0.340764i
\(157\) 2870.46 2408.60i 0.116453 0.0977160i −0.582701 0.812686i \(-0.698004\pi\)
0.699155 + 0.714970i \(0.253560\pi\)
\(158\) −17851.2 + 13930.3i −0.715077 + 0.558016i
\(159\) 3773.58 + 2178.68i 0.149265 + 0.0861784i
\(160\) 42432.9 + 122.263i 1.65754 + 0.00477588i
\(161\) −36988.4 + 13462.7i −1.42697 + 0.519373i
\(162\) −5894.74 + 14565.8i −0.224613 + 0.555016i
\(163\) 3335.65 1925.84i 0.125547 0.0724845i −0.435911 0.899990i \(-0.643574\pi\)
0.561458 + 0.827505i \(0.310241\pi\)
\(164\) −16720.1 7467.36i −0.621657 0.277638i
\(165\) −1855.66 + 10524.0i −0.0681601 + 0.386555i
\(166\) −16780.8 595.680i −0.608970 0.0216171i
\(167\) −5140.77 + 6126.53i −0.184330 + 0.219676i −0.850294 0.526308i \(-0.823576\pi\)
0.665964 + 0.745984i \(0.268020\pi\)
\(168\) 5659.39 11552.7i 0.200517 0.409323i
\(169\) −43948.9 15996.1i −1.53877 0.560067i
\(170\) 25934.0 28769.2i 0.897369 0.995476i
\(171\) −4176.49 24788.7i −0.142830 0.847737i
\(172\) 48078.9 4997.28i 1.62516 0.168918i
\(173\) −2378.42 865.676i −0.0794689 0.0289243i 0.301980 0.953314i \(-0.402352\pi\)
−0.381449 + 0.924390i \(0.624575\pi\)
\(174\) −5861.82 + 9368.85i −0.193613 + 0.309448i
\(175\) −41857.2 + 49883.4i −1.36676 + 1.62885i
\(176\) 15403.4 + 12091.7i 0.497269 + 0.390358i
\(177\) 2089.69 11851.2i 0.0667014 0.378282i
\(178\) −340.744 1050.76i −0.0107545 0.0331638i
\(179\) 37271.5 21518.7i 1.16324 0.671599i 0.211164 0.977451i \(-0.432274\pi\)
0.952079 + 0.305851i \(0.0989411\pi\)
\(180\) 20191.3 + 41519.6i 0.623187 + 1.28147i
\(181\) 18336.5 6673.93i 0.559705 0.203716i −0.0466484 0.998911i \(-0.514854\pi\)
0.606353 + 0.795196i \(0.292632\pi\)
\(182\) 13646.4 64019.7i 0.411978 1.93273i
\(183\) −77.6345 44.8223i −0.00231821 0.00133842i
\(184\) 29297.8 + 30443.9i 0.865365 + 0.899217i
\(185\) 32056.8 26898.8i 0.936648 0.785941i
\(186\) 14744.6 2063.55i 0.426194 0.0596472i
\(187\) 17603.3 3103.94i 0.503399 0.0887627i
\(188\) −26327.8 6596.49i −0.744901 0.186637i
\(189\) 30278.6 0.847642
\(190\) −50483.4 32123.6i −1.39843 0.889851i
\(191\) 46644.6i 1.27860i −0.768958 0.639299i \(-0.779224\pi\)
0.768958 0.639299i \(-0.220776\pi\)
\(192\) −13798.6 529.631i −0.374311 0.0143672i
\(193\) −12701.6 72034.6i −0.340993 1.93387i −0.357275 0.933999i \(-0.616294\pi\)
0.0162820 0.999867i \(-0.494817\pi\)
\(194\) −54555.8 + 7635.26i −1.44956 + 0.202871i
\(195\) −24646.3 29372.4i −0.648161 0.772449i
\(196\) 18416.8 + 1309.16i 0.479404 + 0.0340785i
\(197\) 15759.2 27295.6i 0.406069 0.703333i −0.588376 0.808588i \(-0.700232\pi\)
0.994445 + 0.105255i \(0.0335658\pi\)
\(198\) −4441.88 + 20838.4i −0.113302 + 0.531537i
\(199\) 4842.02 + 13303.3i 0.122270 + 0.335935i 0.985694 0.168545i \(-0.0539067\pi\)
−0.863424 + 0.504479i \(0.831685\pi\)
\(200\) 67156.9 + 19382.6i 1.67892 + 0.484566i
\(201\) 3679.27 + 6372.67i 0.0910687 + 0.157736i
\(202\) −4295.53 13246.3i −0.105272 0.324631i
\(203\) −48121.2 8485.06i −1.16773 0.205903i
\(204\) −8766.36 + 9056.91i −0.210649 + 0.217631i
\(205\) −36330.4 30484.8i −0.864495 0.725398i
\(206\) −5515.63 + 8815.55i −0.129975 + 0.207738i
\(207\) −15723.1 + 43198.9i −0.366942 + 1.00817i
\(208\) −68760.8 + 14450.0i −1.58933 + 0.333996i
\(209\) −9246.76 26020.2i −0.211688 0.595687i
\(210\) 22308.2 24747.1i 0.505856 0.561159i
\(211\) 6928.60 19036.2i 0.155625 0.427577i −0.837237 0.546840i \(-0.815831\pi\)
0.992863 + 0.119262i \(0.0380530\pi\)
\(212\) 19885.3 5677.23i 0.442447 0.126318i
\(213\) −15632.3 13117.0i −0.344559 0.289119i
\(214\) −15918.9 565.085i −0.347605 0.0123392i
\(215\) 123289. + 21739.2i 2.66715 + 0.470290i
\(216\) −13168.1 29714.1i −0.282237 0.636877i
\(217\) 32913.7 + 57008.3i 0.698969 + 1.21065i
\(218\) 3705.27 9155.67i 0.0779663 0.192654i
\(219\) 11095.2 + 30483.8i 0.231338 + 0.635595i
\(220\) 29763.4 + 41065.2i 0.614946 + 0.848455i
\(221\) −32067.9 + 55543.2i −0.656578 + 1.13723i
\(222\) −10736.0 + 8377.93i −0.217840 + 0.169993i
\(223\) −12218.2 14561.1i −0.245697 0.292810i 0.629076 0.777344i \(-0.283434\pi\)
−0.874772 + 0.484534i \(0.838989\pi\)
\(224\) −20716.4 57432.3i −0.412875 1.14462i
\(225\) 13206.3 + 74896.4i 0.260864 + 1.47944i
\(226\) 18953.3 10063.6i 0.371081 0.197033i
\(227\) 3600.63i 0.0698758i 0.999389 + 0.0349379i \(0.0111233\pi\)
−0.999389 + 0.0349379i \(0.988877\pi\)
\(228\) 16047.3 + 11030.0i 0.308698 + 0.212181i
\(229\) −1792.58 −0.0341828 −0.0170914 0.999854i \(-0.505441\pi\)
−0.0170914 + 0.999854i \(0.505441\pi\)
\(230\) 51317.5 + 96648.5i 0.970085 + 1.82700i
\(231\) 15142.3 2669.99i 0.283771 0.0500364i
\(232\) 12600.9 + 50914.1i 0.234112 + 0.945937i
\(233\) −69462.4 + 58285.9i −1.27949 + 1.07362i −0.286179 + 0.958176i \(0.592385\pi\)
−0.993314 + 0.115446i \(0.963170\pi\)
\(234\) −47031.7 60269.4i −0.858933 1.10069i
\(235\) −60876.7 35147.2i −1.10234 0.636436i
\(236\) −33517.0 46244.2i −0.601785 0.830296i
\(237\) 17933.3 6527.19i 0.319274 0.116206i
\(238\) −51660.3 20906.8i −0.912017 0.369090i
\(239\) −1201.15 + 693.481i −0.0210281 + 0.0121406i −0.510477 0.859891i \(-0.670531\pi\)
0.489449 + 0.872032i \(0.337198\pi\)
\(240\) −33987.5 11129.9i −0.590061 0.193227i
\(241\) −9395.14 + 53282.5i −0.161759 + 0.917382i 0.790584 + 0.612354i \(0.209777\pi\)
−0.952343 + 0.305029i \(0.901334\pi\)
\(242\) 1247.26 35136.4i 0.0212975 0.599967i
\(243\) 34953.4 41655.9i 0.591939 0.705446i
\(244\) −409.105 + 116.799i −0.00687155 + 0.00196182i
\(245\) 44934.4 + 16354.8i 0.748596 + 0.272467i
\(246\) 11463.4 + 10333.7i 0.189428 + 0.170759i
\(247\) 92845.3 + 34596.0i 1.52183 + 0.567064i
\(248\) 41631.3 57092.8i 0.676888 0.928278i
\(249\) 13298.6 + 4840.30i 0.214490 + 0.0780681i
\(250\) 65643.6 + 41071.3i 1.05030 + 0.657140i
\(251\) −28694.3 + 34196.6i −0.455458 + 0.542794i −0.944086 0.329698i \(-0.893053\pi\)
0.488628 + 0.872492i \(0.337498\pi\)
\(252\) 46200.9 47732.2i 0.727527 0.751641i
\(253\) −8769.22 + 49732.7i −0.137000 + 0.776964i
\(254\) 100349. 32541.5i 1.55541 0.504394i
\(255\) −28271.3 + 16322.4i −0.434776 + 0.251018i
\(256\) −47352.0 + 45307.3i −0.722535 + 0.691335i
\(257\) 30735.8 11186.9i 0.465348 0.169373i −0.0986958 0.995118i \(-0.531467\pi\)
0.564044 + 0.825745i \(0.309245\pi\)
\(258\) −39845.0 8493.31i −0.598596 0.127596i
\(259\) −52144.5 30105.6i −0.777336 0.448795i
\(260\) −181516. 12903.1i −2.68515 0.190874i
\(261\) −43716.6 + 36682.6i −0.641749 + 0.538491i
\(262\) 16060.8 + 114758.i 0.233973 + 1.67179i
\(263\) 50641.3 8929.42i 0.732138 0.129096i 0.204863 0.978791i \(-0.434325\pi\)
0.527275 + 0.849695i \(0.323214\pi\)
\(264\) −9205.54 13698.8i −0.132081 0.196551i
\(265\) 53559.1 0.762678
\(266\) −18589.8 + 84065.4i −0.262731 + 1.18810i
\(267\) 931.005i 0.0130596i
\(268\) 33876.3 + 8487.78i 0.471657 + 0.118175i
\(269\) 2439.14 + 13833.1i 0.0337080 + 0.191167i 0.997012 0.0772446i \(-0.0246123\pi\)
−0.963304 + 0.268412i \(0.913501\pi\)
\(270\) −11666.9 83362.7i −0.160040 1.14352i
\(271\) 14125.1 + 16833.6i 0.192333 + 0.229213i 0.853589 0.520947i \(-0.174421\pi\)
−0.661257 + 0.750160i \(0.729977\pi\)
\(272\) 1949.92 + 59789.4i 0.0263560 + 0.808140i
\(273\) −27584.6 + 47778.0i −0.370119 + 0.641065i
\(274\) −26359.4 5618.75i −0.351104 0.0748408i
\(275\) 28573.6 + 78505.4i 0.377833 + 1.03809i
\(276\) −15573.7 32024.4i −0.204443 0.420400i
\(277\) 1905.29 + 3300.06i 0.0248314 + 0.0430093i 0.878174 0.478341i \(-0.158762\pi\)
−0.853343 + 0.521350i \(0.825428\pi\)
\(278\) 12550.2 4069.83i 0.162391 0.0526607i
\(279\) 75712.2 + 13350.1i 0.972652 + 0.171505i
\(280\) −10757.6 157759.i −0.137214 2.01223i
\(281\) 22067.4 + 18516.7i 0.279472 + 0.234504i 0.771739 0.635940i \(-0.219387\pi\)
−0.492267 + 0.870444i \(0.663832\pi\)
\(282\) 19392.5 + 12133.3i 0.243857 + 0.152574i
\(283\) −34620.1 + 95118.0i −0.432271 + 1.18765i 0.512145 + 0.858899i \(0.328851\pi\)
−0.944415 + 0.328755i \(0.893371\pi\)
\(284\) −96329.7 + 10012.4i −1.19433 + 0.124137i
\(285\) 32121.9 + 38879.0i 0.395468 + 0.478658i
\(286\) −62376.6 56229.2i −0.762587 0.687433i
\(287\) −23338.9 + 64123.0i −0.283345 + 0.778485i
\(288\) −66934.9 24580.9i −0.806989 0.296356i
\(289\) −22151.1 18587.0i −0.265216 0.222543i
\(290\) −4819.04 + 135756.i −0.0573013 + 1.61422i
\(291\) 45723.5 + 8062.28i 0.539950 + 0.0952077i
\(292\) 140577. + 62783.2i 1.64873 + 0.736339i
\(293\) 7825.00 + 13553.3i 0.0911484 + 0.157874i 0.907995 0.418982i \(-0.137613\pi\)
−0.816846 + 0.576856i \(0.804280\pi\)
\(294\) −14424.7 5837.64i −0.166883 0.0675372i
\(295\) −50591.0 138998.i −0.581338 1.59721i
\(296\) −6866.89 + 64265.1i −0.0783748 + 0.733486i
\(297\) 19423.0 33641.7i 0.220193 0.381386i
\(298\) −29957.8 38389.8i −0.337347 0.432298i
\(299\) −116470. 138804.i −1.30278 1.55260i
\(300\) −48801.8 32999.1i −0.542243 0.366657i
\(301\) −31279.1 177393.i −0.345241 1.95796i
\(302\) 2715.93 + 5115.04i 0.0297787 + 0.0560835i
\(303\) 11736.5i 0.127837i
\(304\) 90582.7 18316.5i 0.980162 0.198197i
\(305\) −1101.88 −0.0118450
\(306\) −57486.7 + 30523.8i −0.613938 + 0.325983i
\(307\) 154702. 27278.1i 1.64142 0.289426i 0.724730 0.689033i \(-0.241965\pi\)
0.916686 + 0.399607i \(0.130854\pi\)
\(308\) 40876.0 60450.7i 0.430890 0.637236i
\(309\) 6713.89 5633.62i 0.0703165 0.0590025i
\(310\) 144272. 112584.i 1.50127 1.17153i
\(311\) −96272.3 55582.8i −0.995361 0.574672i −0.0884884 0.996077i \(-0.528204\pi\)
−0.906872 + 0.421405i \(0.861537\pi\)
\(312\) 58883.6 + 6291.86i 0.604903 + 0.0646353i
\(313\) 66493.3 24201.6i 0.678718 0.247033i 0.0204210 0.999791i \(-0.493499\pi\)
0.658297 + 0.752758i \(0.271277\pi\)
\(314\) −5622.79 + 13893.8i −0.0570286 + 0.140917i
\(315\) 148997. 86023.4i 1.50161 0.866952i
\(316\) 36934.8 82700.2i 0.369880 0.828195i
\(317\) 25845.3 146576.i 0.257195 1.45863i −0.533180 0.846002i \(-0.679003\pi\)
0.790375 0.612624i \(-0.209886\pi\)
\(318\) −17418.4 618.315i −0.172248 0.00611443i
\(319\) −40296.2 + 48023.1i −0.395988 + 0.471920i
\(320\) −150140. + 79165.9i −1.46621 + 0.773105i
\(321\) 12615.6 + 4591.70i 0.122433 + 0.0445618i
\(322\) 105421. 116947.i 1.01675 1.12791i
\(323\) 42733.9 72732.2i 0.409607 0.697142i
\(324\) −6497.95 62516.9i −0.0618994 0.595535i
\(325\) −281680. 102523.i −2.66679 0.970634i
\(326\) −8171.84 + 13060.9i −0.0768927 + 0.122896i
\(327\) −5350.91 + 6376.97i −0.0500417 + 0.0596374i
\(328\) 73077.5 4983.14i 0.679260 0.0463186i
\(329\) −17563.1 + 99605.6i −0.162260 + 0.920220i
\(330\) −13185.6 40660.8i −0.121080 0.373377i
\(331\) −105892. + 61136.8i −0.966512 + 0.558016i −0.898171 0.439646i \(-0.855104\pi\)
−0.0683409 + 0.997662i \(0.521771\pi\)
\(332\) 60401.8 29373.8i 0.547991 0.266492i
\(333\) −66080.1 + 24051.2i −0.595912 + 0.216894i
\(334\) 6669.23 31287.6i 0.0597837 0.280465i
\(335\) 78330.7 + 45224.3i 0.697979 + 0.402978i
\(336\) 1677.31 + 51430.5i 0.0148571 + 0.455557i
\(337\) 10521.3 8828.43i 0.0926425 0.0777363i −0.595290 0.803511i \(-0.702963\pi\)
0.687933 + 0.725775i \(0.258518\pi\)
\(338\) 185272. 25929.4i 1.62172 0.226965i
\(339\) −17811.6 + 3140.67i −0.154990 + 0.0273289i
\(340\) −37654.6 + 150286.i −0.325732 + 1.30005i
\(341\) 84453.7 0.726289
\(342\) 61254.9 + 79740.7i 0.523707 + 0.681754i
\(343\) 74353.2i 0.631991i
\(344\) −160482. + 107844.i −1.35616 + 0.911333i
\(345\) −16015.2 90826.7i −0.134553 0.763089i
\(346\) 10026.5 1403.25i 0.0837528 0.0117215i
\(347\) −2917.94 3477.46i −0.0242336 0.0288804i 0.753792 0.657114i \(-0.228223\pi\)
−0.778025 + 0.628233i \(0.783778\pi\)
\(348\) 3134.49 44094.9i 0.0258826 0.364107i
\(349\) −18323.1 + 31736.6i −0.150435 + 0.260561i −0.931387 0.364029i \(-0.881401\pi\)
0.780952 + 0.624591i \(0.214734\pi\)
\(350\) 54302.1 254749.i 0.443283 2.07959i
\(351\) 47671.2 + 130976.i 0.386938 + 1.06310i
\(352\) −77100.5 13824.1i −0.622260 0.111571i
\(353\) −42192.4 73079.3i −0.338598 0.586469i 0.645571 0.763700i \(-0.276619\pi\)
−0.984169 + 0.177231i \(0.943286\pi\)
\(354\) 14848.5 + 45788.7i 0.118488 + 0.365386i
\(355\) −247019. 43556.1i −1.96008 0.345615i
\(356\) 3174.88 + 3073.03i 0.0250511 + 0.0242475i
\(357\) 35981.7 + 30192.2i 0.282322 + 0.236896i
\(358\) −91309.5 + 145939.i −0.712443 + 1.13869i
\(359\) −48202.5 + 132435.i −0.374008 + 1.02758i 0.599789 + 0.800158i \(0.295251\pi\)
−0.973797 + 0.227420i \(0.926971\pi\)
\(360\) −149218. 108808.i −1.15137 0.839565i
\(361\) −121769. 46432.7i −0.934374 0.356295i
\(362\) −52261.1 + 57974.7i −0.398806 + 0.442406i
\(363\) −10134.9 + 27845.3i −0.0769138 + 0.211319i
\(364\) 71880.5 + 251772.i 0.542510 + 1.90022i
\(365\) 305455. + 256307.i 2.29277 + 1.92387i
\(366\) 358.353 + 12.7207i 0.00267515 + 9.49619e-5i
\(367\) −76097.3 13418.0i −0.564986 0.0996222i −0.116142 0.993233i \(-0.537053\pi\)
−0.448843 + 0.893610i \(0.648164\pi\)
\(368\) −160614. 52596.1i −1.18600 0.388381i
\(369\) 39847.9 + 69018.6i 0.292653 + 0.506890i
\(370\) −62794.3 + 155164.i −0.458687 + 1.13341i
\(371\) −26357.0 72415.4i −0.191491 0.526118i
\(372\) −48219.8 + 34948.9i −0.348449 + 0.252550i
\(373\) 88081.7 152562.i 0.633094 1.09655i −0.353822 0.935313i \(-0.615118\pi\)
0.986916 0.161238i \(-0.0515486\pi\)
\(374\) −56367.8 + 43987.1i −0.402984 + 0.314472i
\(375\) −41949.8 49993.9i −0.298310 0.355512i
\(376\) 105387. 26082.4i 0.745436 0.184490i
\(377\) −39059.2 221516.i −0.274815 1.55855i
\(378\) −106970. + 56798.2i −0.748653 + 0.397512i
\(379\) 53659.2i 0.373564i −0.982401 0.186782i \(-0.940194\pi\)
0.982401 0.186782i \(-0.0598059\pi\)
\(380\) 238611. + 18789.3i 1.65243 + 0.130120i
\(381\) −88912.0 −0.612506
\(382\) 87498.2 + 164789.i 0.599615 + 1.12928i
\(383\) 139515. 24600.2i 0.951093 0.167703i 0.323485 0.946233i \(-0.395145\pi\)
0.627607 + 0.778530i \(0.284034\pi\)
\(384\) 49742.2 24013.0i 0.337336 0.162849i
\(385\) 144779. 121484.i 0.976749 0.819589i
\(386\) 179999. + 230663.i 1.20808 + 1.54811i
\(387\) −182189. 105187.i −1.21647 0.702328i
\(388\) 178416. 129313.i 1.18514 0.858971i
\(389\) −113800. + 41420.0i −0.752047 + 0.273723i −0.689467 0.724317i \(-0.742155\pi\)
−0.0625800 + 0.998040i \(0.519933\pi\)
\(390\) 142171. + 57535.9i 0.934718 + 0.378277i
\(391\) −133601. + 77134.3i −0.873886 + 0.504538i
\(392\) −67520.0 + 29922.1i −0.439400 + 0.194724i
\(393\) 16959.1 96179.6i 0.109804 0.622727i
\(394\) −4472.50 + 125994.i −0.0288110 + 0.811628i
\(395\) 150783. 179696.i 0.966402 1.15171i
\(396\) −23397.1 81951.6i −0.149201 0.522597i
\(397\) 201707. + 73415.2i 1.27979 + 0.465806i 0.890363 0.455251i \(-0.150450\pi\)
0.389428 + 0.921057i \(0.372673\pi\)
\(398\) −42061.3 37916.1i −0.265532 0.239363i
\(399\) 36759.4 62563.8i 0.230899 0.392986i
\(400\) −273616. + 57500.0i −1.71010 + 0.359375i
\(401\) 127737. + 46492.6i 0.794381 + 0.289131i 0.707156 0.707058i \(-0.249978\pi\)
0.0872250 + 0.996189i \(0.472200\pi\)
\(402\) −24952.6 15612.1i −0.154406 0.0966071i
\(403\) −194779. + 232129.i −1.19931 + 1.42929i
\(404\) 40023.6 + 38739.5i 0.245218 + 0.237351i
\(405\) 28267.4 160312.i 0.172336 0.977365i
\(406\) 185923. 60291.5i 1.12793 0.365767i
\(407\) −66899.0 + 38624.1i −0.403860 + 0.233169i
\(408\) 13981.0 48441.3i 0.0839881 0.291002i
\(409\) −201715. + 73418.4i −1.20585 + 0.438893i −0.865261 0.501321i \(-0.832848\pi\)
−0.340586 + 0.940213i \(0.610625\pi\)
\(410\) 185536. + 39548.6i 1.10372 + 0.235268i
\(411\) 19672.1 + 11357.7i 0.116457 + 0.0672367i
\(412\) 2949.37 41490.7i 0.0173754 0.244431i
\(413\) −163037. + 136805.i −0.955844 + 0.802049i
\(414\) −25486.9 182110.i −0.148702 1.06251i
\(415\) 171310. 30206.5i 0.994686 0.175390i
\(416\) 215817. 180035.i 1.24709 1.04033i
\(417\) −11119.9 −0.0639480
\(418\) 81477.7 + 74580.6i 0.466322 + 0.426848i
\(419\) 269807.i 1.53683i −0.639953 0.768414i \(-0.721046\pi\)
0.639953 0.768414i \(-0.278954\pi\)
\(420\) −32390.3 + 129275.i −0.183618 + 0.732854i
\(421\) −4461.90 25304.7i −0.0251742 0.142770i 0.969630 0.244576i \(-0.0786489\pi\)
−0.994804 + 0.101806i \(0.967538\pi\)
\(422\) 11231.2 + 80249.3i 0.0630666 + 0.450626i
\(423\) 75928.9 + 90488.5i 0.424352 + 0.505723i
\(424\) −59602.7 + 57358.9i −0.331539 + 0.319057i
\(425\) −127606. + 221020.i −0.706468 + 1.22364i
\(426\) 79832.4 + 17017.0i 0.439906 + 0.0937700i
\(427\) 542.248 + 1489.81i 0.00297401 + 0.00817102i
\(428\) 57299.5 27865.1i 0.312797 0.152116i
\(429\) 35389.8 + 61296.9i 0.192293 + 0.333061i
\(430\) −476343. + 154470.i −2.57622 + 0.835424i
\(431\) 40041.1 + 7060.32i 0.215551 + 0.0380075i 0.280381 0.959889i \(-0.409539\pi\)
−0.0648294 + 0.997896i \(0.520650\pi\)
\(432\) 102260. + 80274.8i 0.547948 + 0.430142i
\(433\) 42542.0 + 35697.0i 0.226904 + 0.190395i 0.749151 0.662399i \(-0.230462\pi\)
−0.522247 + 0.852794i \(0.674906\pi\)
\(434\) −223219. 139662.i −1.18509 0.741477i
\(435\) 39157.9 107585.i 0.206938 0.568558i
\(436\) 4084.43 + 39296.3i 0.0214861 + 0.206718i
\(437\) 151797. + 183729.i 0.794880 + 0.962088i
\(438\) −96380.8 86882.3i −0.502392 0.452880i
\(439\) 5879.45 16153.7i 0.0305076 0.0838189i −0.923504 0.383589i \(-0.874688\pi\)
0.954011 + 0.299770i \(0.0969101\pi\)
\(440\) −182182. 89246.5i −0.941025 0.460984i
\(441\) −61555.5 51651.2i −0.316512 0.265585i
\(442\) 9100.97 256382.i 0.0465847 1.31233i
\(443\) −35237.7 6213.36i −0.179556 0.0316606i 0.0831470 0.996537i \(-0.473503\pi\)
−0.262703 + 0.964877i \(0.584614\pi\)
\(444\) 22213.2 49737.3i 0.112680 0.252299i
\(445\) 5721.79 + 9910.44i 0.0288943 + 0.0500464i
\(446\) 70480.0 + 28523.0i 0.354321 + 0.143392i
\(447\) 14037.0 + 38566.4i 0.0702521 + 0.193016i
\(448\) 180923. + 164040.i 0.901442 + 0.817323i
\(449\) 1615.37 2797.90i 0.00801269 0.0138784i −0.861991 0.506923i \(-0.830783\pi\)
0.870004 + 0.493045i \(0.164116\pi\)
\(450\) −187150. 239826.i −0.924200 1.18433i
\(451\) 56273.9 + 67064.6i 0.276665 + 0.329716i
\(452\) −48081.7 + 71107.2i −0.235344 + 0.348046i
\(453\) −847.590 4806.92i −0.00413037 0.0234245i
\(454\) −6754.25 12720.6i −0.0327691 0.0617156i
\(455\) 678121.i 3.27555i
\(456\) −77383.9 8865.29i −0.372152 0.0426347i
\(457\) 184239. 0.882162 0.441081 0.897467i \(-0.354595\pi\)
0.441081 + 0.897467i \(0.354595\pi\)
\(458\) 6332.96 3362.61i 0.0301909 0.0160305i
\(459\) 116865. 20606.5i 0.554703 0.0978091i
\(460\) −362596. 245183.i −1.71359 1.15871i
\(461\) −281594. + 236286.i −1.32502 + 1.11182i −0.339805 + 0.940496i \(0.610361\pi\)
−0.985214 + 0.171327i \(0.945194\pi\)
\(462\) −48487.2 + 37837.4i −0.227166 + 0.177271i
\(463\) −166665. 96223.8i −0.777466 0.448870i 0.0580658 0.998313i \(-0.481507\pi\)
−0.835531 + 0.549443i \(0.814840\pi\)
\(464\) −140025. 156236.i −0.650382 0.725679i
\(465\) −144936. + 52752.3i −0.670301 + 0.243970i
\(466\) 136066. 336218.i 0.626583 1.54828i
\(467\) 360785. 208299.i 1.65430 0.955112i 0.679029 0.734112i \(-0.262401\pi\)
0.975274 0.221000i \(-0.0709322\pi\)
\(468\) 279214. + 124700.i 1.27481 + 0.569342i
\(469\) 22598.7 128164.i 0.102740 0.582665i
\(470\) 281000. + 9974.88i 1.27207 + 0.0451556i
\(471\) 8120.07 9677.12i 0.0366031 0.0436219i
\(472\) 205158. + 100502.i 0.920885 + 0.451118i
\(473\) −217161. 79040.1i −0.970643 0.353285i
\(474\) −51112.0 + 56699.9i −0.227492 + 0.252363i
\(475\) 369454. + 137666.i 1.63747 + 0.610153i
\(476\) 221727. 23046.1i 0.978600 0.101715i
\(477\) −84574.3 30782.5i −0.371708 0.135290i
\(478\) 2942.62 4703.15i 0.0128789 0.0205842i
\(479\) −153131. + 182494.i −0.667408 + 0.795386i −0.988429 0.151686i \(-0.951530\pi\)
0.321021 + 0.947072i \(0.395974\pi\)
\(480\) 140952. 24435.0i 0.611769 0.106055i
\(481\) 48130.0 272959.i 0.208030 1.17980i
\(482\) −66758.2 205864.i −0.287349 0.886108i
\(483\) −114922. + 66350.5i −0.492618 + 0.284413i
\(484\) 61504.3 + 126472.i 0.262552 + 0.539889i
\(485\) 536270. 195186.i 2.27982 0.829786i
\(486\) −45345.8 + 212732.i −0.191984 + 0.900660i
\(487\) −192225. 110981.i −0.810499 0.467942i 0.0366299 0.999329i \(-0.488338\pi\)
−0.847129 + 0.531387i \(0.821671\pi\)
\(488\) 1226.22 1180.05i 0.00514906 0.00495521i
\(489\) 9947.15 8346.65i 0.0415988 0.0349056i
\(490\) −189427. + 26510.9i −0.788950 + 0.110416i
\(491\) 99879.3 17611.4i 0.414298 0.0730518i 0.0373855 0.999301i \(-0.488097\pi\)
0.376912 + 0.926249i \(0.376986\pi\)
\(492\) −59883.2 15003.9i −0.247386 0.0619831i
\(493\) −191506. −0.787933
\(494\) −392908. + 51940.6i −1.61004 + 0.212840i
\(495\) 220728.i 0.900839i
\(496\) −39980.6 + 279796.i −0.162512 + 1.13731i
\(497\) 62670.2 + 355420.i 0.253716 + 1.43890i
\(498\) −56062.0 + 7846.05i −0.226053 + 0.0316368i
\(499\) −155217. 184980.i −0.623358 0.742889i 0.358286 0.933612i \(-0.383361\pi\)
−0.981644 + 0.190723i \(0.938917\pi\)
\(500\) −308954. 21962.0i −1.23582 0.0878480i
\(501\) −13481.1 + 23350.0i −0.0537094 + 0.0930273i
\(502\) 37225.7 174638.i 0.147719 0.692999i
\(503\) −67597.8 185723.i −0.267176 0.734059i −0.998638 0.0521768i \(-0.983384\pi\)
0.731462 0.681882i \(-0.238838\pi\)
\(504\) −73683.3 + 255298.i −0.290074 + 1.00505i
\(505\) 72130.8 + 124934.i 0.282838 + 0.489890i
\(506\) −62310.6 192149.i −0.243367 0.750477i
\(507\) −155277. 27379.6i −0.604077 0.106515i
\(508\) −293477. + 303205.i −1.13723 + 1.17492i
\(509\) −28947.8 24290.1i −0.111733 0.0937549i 0.585210 0.810882i \(-0.301012\pi\)
−0.696942 + 0.717127i \(0.745457\pi\)
\(510\) 69260.4 110698.i 0.266284 0.425597i
\(511\) 196226. 539127.i 0.751476 2.06466i
\(512\) 82298.9 248890.i 0.313945 0.949441i
\(513\) −61387.6 172744.i −0.233263 0.656398i
\(514\) −87600.6 + 97177.6i −0.331574 + 0.367824i
\(515\) 36845.3 101232.i 0.138921 0.381682i
\(516\) 156699. 44737.4i 0.588529 0.168024i
\(517\) 99402.5 + 83408.6i 0.371892 + 0.312054i
\(518\) 240693. + 8544.07i 0.897025 + 0.0318424i
\(519\) −8403.30 1481.73i −0.0311972 0.00550090i
\(520\) 665478. 294913.i 2.46109 1.09065i
\(521\) 86697.7 + 150165.i 0.319398 + 0.553214i 0.980363 0.197203i \(-0.0631859\pi\)
−0.660964 + 0.750417i \(0.729853\pi\)
\(522\) 85634.0 211601.i 0.314272 0.776561i
\(523\) 138211. + 379731.i 0.505288 + 1.38827i 0.886048 + 0.463593i \(0.153440\pi\)
−0.380761 + 0.924674i \(0.624338\pi\)
\(524\) −272010. 375299.i −0.990656 1.36683i
\(525\) −109766. + 190120.i −0.398243 + 0.689777i
\(526\) −162159. + 126542.i −0.586097 + 0.457365i
\(527\) 165834. + 197633.i 0.597107 + 0.711604i
\(528\) 58218.9 + 31127.9i 0.208832 + 0.111656i
\(529\) −27088.5 153627.i −0.0967997 0.548979i
\(530\) −189217. + 100469.i −0.673611 + 0.357668i
\(531\) 248565.i 0.881559i
\(532\) −92018.8 331864.i −0.325127 1.17256i
\(533\) −314121. −1.10571
\(534\) −1746.43 3289.12i −0.00612446 0.0115345i
\(535\) 162511. 28655.1i 0.567774 0.100114i
\(536\) −135602. + 33560.6i −0.471995 + 0.116815i
\(537\) 111146. 93262.8i 0.385431 0.323415i
\(538\) −34565.9 44295.0i −0.119422 0.153035i
\(539\) −76444.7 44135.4i −0.263130 0.151918i
\(540\) 197594. + 272625.i 0.677619 + 0.934926i
\(541\) 1830.93 666.402i 0.00625570 0.00227689i −0.338890 0.940826i \(-0.610052\pi\)
0.345146 + 0.938549i \(0.387829\pi\)
\(542\) −81479.6 32974.5i −0.277364 0.112248i
\(543\) 56971.2 32892.4i 0.193222 0.111557i
\(544\) −119045. 207571.i −0.402266 0.701404i
\(545\) −17768.1 + 100768.i −0.0598202 + 0.339257i
\(546\) 7828.60 220538.i 0.0262603 0.739772i
\(547\) −332768. + 396578.i −1.11216 + 1.32542i −0.171843 + 0.985124i \(0.554972\pi\)
−0.940318 + 0.340297i \(0.889472\pi\)
\(548\) 103664. 29596.1i 0.345198 0.0985537i
\(549\) 1739.96 + 633.294i 0.00577291 + 0.00210117i
\(550\) −248211. 223750.i −0.820533 0.739668i
\(551\) 49153.6 + 291741.i 0.161902 + 0.960934i
\(552\) 115093. + 83924.2i 0.377720 + 0.275429i
\(553\) −317163. 115438.i −1.03713 0.377484i
\(554\) −12921.6 8084.64i −0.0421013 0.0263415i
\(555\) 90683.4 108072.i 0.294403 0.350856i
\(556\) −36704.0 + 37920.6i −0.118731 + 0.122666i
\(557\) 58284.7 330549.i 0.187864 1.06543i −0.734355 0.678765i \(-0.762515\pi\)
0.922220 0.386667i \(-0.126374\pi\)
\(558\) −292524. + 94860.6i −0.939493 + 0.304661i
\(559\) 718098. 414594.i 2.29805 1.32678i
\(560\) 333938. + 537163.i 1.06485 + 1.71289i
\(561\) 56627.1 20610.6i 0.179928 0.0654884i
\(562\) −112696. 24022.1i −0.356808 0.0760569i
\(563\) 339376. + 195939.i 1.07069 + 0.618164i 0.928370 0.371657i \(-0.121210\pi\)
0.142321 + 0.989821i \(0.454543\pi\)
\(564\) −91271.5 6488.04i −0.286931 0.0203965i
\(565\) −170301. + 142899.i −0.533481 + 0.447644i
\(566\) −56118.7 400982.i −0.175176 1.25168i
\(567\) −230664. + 40672.2i −0.717485 + 0.126512i
\(568\) 321539. 216073.i 0.996636 0.669735i
\(569\) 450807. 1.39241 0.696203 0.717845i \(-0.254871\pi\)
0.696203 + 0.717845i \(0.254871\pi\)
\(570\) −186414. 77098.6i −0.573758 0.237300i
\(571\) 577692.i 1.77184i 0.463841 + 0.885919i \(0.346471\pi\)
−0.463841 + 0.885919i \(0.653529\pi\)
\(572\) 325846. + 81641.5i 0.995911 + 0.249528i
\(573\) −27306.5 154863.i −0.0831681 0.471670i
\(574\) −37832.0 270319.i −0.114825 0.820450i
\(575\) −463463. 552334.i −1.40178 1.67057i
\(576\) 282583. 38718.5i 0.851727 0.116701i
\(577\) −318962. + 552458.i −0.958047 + 1.65939i −0.230811 + 0.972998i \(0.574138\pi\)
−0.727236 + 0.686388i \(0.759195\pi\)
\(578\) 113123. + 24113.3i 0.338608 + 0.0721772i
\(579\) −84340.5 231724.i −0.251582 0.691215i
\(580\) −237633. 488649.i −0.706401 1.45258i
\(581\) −125145. 216757.i −0.370732 0.642127i
\(582\) −176659. + 57287.4i −0.521542 + 0.169127i
\(583\) −97366.1 17168.3i −0.286464 0.0505114i
\(584\) −614413. + 41896.7i −1.80150 + 0.122844i
\(585\) 606692. + 509075.i 1.77279 + 1.48755i
\(586\) −53068.7 33203.5i −0.154541 0.0966917i
\(587\) −142731. + 392150.i −0.414230 + 1.13809i 0.540689 + 0.841223i \(0.318164\pi\)
−0.954919 + 0.296866i \(0.904059\pi\)
\(588\) 61911.3 6435.01i 0.179067 0.0186121i
\(589\) 258510. 303357.i 0.745154 0.874427i
\(590\) 439470. + 396159.i 1.26248 + 1.13806i
\(591\) 36342.0 99848.9i 0.104048 0.285870i
\(592\) −96292.0 239922.i −0.274756 0.684583i
\(593\) 51386.5 + 43118.4i 0.146130 + 0.122618i 0.712922 0.701243i \(-0.247371\pi\)
−0.566792 + 0.823861i \(0.691816\pi\)
\(594\) −5512.32 + 155287.i −0.0156229 + 0.440110i
\(595\) 568577. + 100255.i 1.60603 + 0.283187i
\(596\) 177850. + 79429.9i 0.500683 + 0.223610i
\(597\) 23863.8 + 41333.3i 0.0669562 + 0.115972i
\(598\) 671850. + 271895.i 1.87875 + 0.760325i
\(599\) −71146.6 195474.i −0.198290 0.544797i 0.800200 0.599733i \(-0.204727\pi\)
−0.998490 + 0.0549365i \(0.982504\pi\)
\(600\) 234312. + 25036.8i 0.650867 + 0.0695467i
\(601\) 255493. 442527.i 0.707344 1.22516i −0.258495 0.966013i \(-0.583227\pi\)
0.965839 0.259143i \(-0.0834400\pi\)
\(602\) 443268. + 568031.i 1.22313 + 1.56740i
\(603\) −97698.6 116433.i −0.268691 0.320214i
\(604\) −19190.1 12976.1i −0.0526021 0.0355688i
\(605\) 63248.0 + 358697.i 0.172797 + 0.979980i
\(606\) −22016.0 41463.7i −0.0599506 0.112908i
\(607\) 469911.i 1.27538i −0.770295 0.637688i \(-0.779891\pi\)
0.770295 0.637688i \(-0.220109\pi\)
\(608\) −285658. + 234630.i −0.772750 + 0.634710i
\(609\) −164733. −0.444166
\(610\) 3892.80 2066.96i 0.0104617 0.00555486i
\(611\) −458513. + 80848.2i −1.22820 + 0.216565i
\(612\) 145835. 215673.i 0.389367 0.575828i
\(613\) −437186. + 366843.i −1.16344 + 0.976246i −0.999947 0.0102977i \(-0.996722\pi\)
−0.163498 + 0.986544i \(0.552278\pi\)
\(614\) −495372. + 386568.i −1.31400 + 1.02539i
\(615\) −138466. 79943.1i −0.366093 0.211364i
\(616\) −31013.0 + 290242.i −0.0817303 + 0.764889i
\(617\) −462494. + 168334.i −1.21489 + 0.442182i −0.868396 0.495871i \(-0.834849\pi\)
−0.346490 + 0.938054i \(0.612626\pi\)
\(618\) −13151.5 + 32497.1i −0.0344348 + 0.0850879i
\(619\) −57654.1 + 33286.6i −0.150470 + 0.0868736i −0.573344 0.819314i \(-0.694354\pi\)
0.422875 + 0.906188i \(0.361021\pi\)
\(620\) −298505. + 668378.i −0.776547 + 1.73876i
\(621\) −58217.3 + 330166.i −0.150962 + 0.856150i
\(622\) 444383. + 15774.6i 1.14862 + 0.0407734i
\(623\) 10583.8 12613.3i 0.0272688 0.0324977i
\(624\) −219831. + 88228.6i −0.564572 + 0.226590i
\(625\) −112372. 40900.2i −0.287673 0.104705i
\(626\) −189514. + 210233.i −0.483607 + 0.536477i
\(627\) −45932.5 80975.5i −0.116838 0.205977i
\(628\) −6198.16 59632.6i −0.0157161 0.151205i
\(629\) −221749. 80710.1i −0.560481 0.203998i
\(630\) −365020. + 583405.i −0.919677 + 1.46990i
\(631\) −332245. + 395954.i −0.834448 + 0.994457i 0.165518 + 0.986207i \(0.447071\pi\)
−0.999966 + 0.00824991i \(0.997374\pi\)
\(632\) 24647.4 + 361453.i 0.0617074 + 0.904937i
\(633\) 11859.3 67257.3i 0.0295972 0.167854i
\(634\) 183646. + 566316.i 0.456882 + 1.40890i
\(635\) −946458. + 546438.i −2.34722 + 1.35517i
\(636\) 62697.0 30490.0i 0.155000 0.0753777i
\(637\) 297618. 108324.i 0.733467 0.266960i
\(638\) 52277.0 245249.i 0.128431 0.602512i
\(639\) 365030. + 210750.i 0.893978 + 0.516138i
\(640\) 381920. 561322.i 0.932422 1.37042i
\(641\) 395902. 332201.i 0.963544 0.808510i −0.0179817 0.999838i \(-0.505724\pi\)
0.981526 + 0.191329i \(0.0612796\pi\)
\(642\) −53182.6 + 7443.07i −0.129033 + 0.0180585i
\(643\) −417196. + 73562.9i −1.00906 + 0.177925i −0.653660 0.756788i \(-0.726767\pi\)
−0.355403 + 0.934713i \(0.615656\pi\)
\(644\) −153065. + 610912.i −0.369067 + 1.47301i
\(645\) 422053. 1.01449
\(646\) −14538.5 + 337116.i −0.0348382 + 0.807819i
\(647\) 406880.i 0.971981i −0.873964 0.485991i \(-0.838459\pi\)
0.873964 0.485991i \(-0.161541\pi\)
\(648\) 140229. + 208675.i 0.333954 + 0.496959i
\(649\) 47414.9 + 268903.i 0.112571 + 0.638420i
\(650\) 1.18746e6 166189.i 2.81055 0.393346i
\(651\) 142649. + 170003.i 0.336595 + 0.401138i
\(652\) 4369.72 61471.7i 0.0102792 0.144604i
\(653\) 325842. 564374.i 0.764153 1.32355i −0.176540 0.984293i \(-0.556491\pi\)
0.940693 0.339258i \(-0.110176\pi\)
\(654\) 6941.84 32566.5i 0.0162300 0.0761405i
\(655\) −410576. 1.12805e6i −0.956998 2.62933i
\(656\) −248826. + 154687.i −0.578213 + 0.359457i
\(657\) −335029. 580287.i −0.776161 1.34435i
\(658\) −124797. 384840.i −0.288238 0.888849i
\(659\) 469564. + 82796.7i 1.08124 + 0.190652i 0.685765 0.727823i \(-0.259468\pi\)
0.395478 + 0.918475i \(0.370579\pi\)
\(660\) 122857. + 118915.i 0.282040 + 0.272992i
\(661\) −33682.3 28262.8i −0.0770901 0.0646863i 0.603428 0.797417i \(-0.293801\pi\)
−0.680518 + 0.732731i \(0.738245\pi\)
\(662\) 259419. 414626.i 0.591952 0.946108i
\(663\) −73951.5 + 203180.i −0.168236 + 0.462226i
\(664\) −158291. + 217079.i −0.359021 + 0.492358i
\(665\) 6793.43 891901.i 0.0153619 2.01685i
\(666\) 188336. 208926.i 0.424605 0.471026i
\(667\) 185047. 508412.i 0.415940 1.14278i
\(668\) 35129.3 + 123045.i 0.0787257 + 0.275748i
\(669\) −49089.7 41191.1i −0.109683 0.0920347i
\(670\) −361566. 12834.8i −0.805450 0.0285916i
\(671\) 2003.13 + 353.206i 0.00444902 + 0.000784482i
\(672\) −102402. 178551.i −0.226761 0.395388i
\(673\) 267915. + 464043.i 0.591517 + 1.02454i 0.994028 + 0.109123i \(0.0348042\pi\)
−0.402511 + 0.915415i \(0.631862\pi\)
\(674\) −20609.6 + 50926.1i −0.0453681 + 0.112104i
\(675\) 189695. + 521183.i 0.416340 + 1.14389i
\(676\) −605903. + 439148.i −1.32590 + 0.960987i
\(677\) 307740. 533021.i 0.671438 1.16296i −0.306058 0.952013i \(-0.599010\pi\)
0.977496 0.210952i \(-0.0676564\pi\)
\(678\) 57034.7 44507.5i 0.124074 0.0968220i
\(679\) −527810. 629019.i −1.14482 1.36435i
\(680\) −148886. 601577.i −0.321985 1.30099i
\(681\) 2107.87 + 11954.3i 0.00454516 + 0.0257769i
\(682\) −298364. + 158422.i −0.641472 + 0.340603i
\(683\) 18652.0i 0.0399838i 0.999800 + 0.0199919i \(0.00636405\pi\)
−0.999800 + 0.0199919i \(0.993636\pi\)
\(684\) −365987. 166809.i −0.782265 0.356539i
\(685\) 279210. 0.595044
\(686\) −139475. 262680.i −0.296380 0.558186i
\(687\) −5951.48 + 1049.41i −0.0126099 + 0.00222346i
\(688\) 364665. 682038.i 0.770402 1.44089i
\(689\) 271749. 228024.i 0.572438 0.480333i
\(690\) 226957. + 290837.i 0.476700 + 0.610874i
\(691\) 406712. + 234815.i 0.851787 + 0.491779i 0.861253 0.508176i \(-0.169680\pi\)
−0.00946644 + 0.999955i \(0.503013\pi\)
\(692\) −32790.2 + 23765.8i −0.0684750 + 0.0496295i
\(693\) −298439. + 108623.i −0.621425 + 0.226180i
\(694\) 16831.9 + 6811.82i 0.0349473 + 0.0141431i
\(695\) −118370. + 68340.7i −0.245059 + 0.141485i
\(696\) 71641.6 + 161661.i 0.147893 + 0.333724i
\(697\) −46440.5 + 263377.i −0.0955942 + 0.542141i
\(698\) 5200.17 146493.i 0.0106735 0.300681i
\(699\) −196498. + 234177.i −0.402164 + 0.479281i
\(700\) 286030. + 1.00186e6i 0.583734 + 2.04461i
\(701\) −789547. 287372.i −1.60673 0.584801i −0.625938 0.779873i \(-0.715284\pi\)
−0.980789 + 0.195072i \(0.937506\pi\)
\(702\) −414107. 373296.i −0.840307 0.757493i
\(703\) −66037.7 + 358528.i −0.133623 + 0.725458i
\(704\) 298318. 95790.3i 0.601914 0.193275i
\(705\) −222690. 81052.5i −0.448046 0.163075i
\(706\) 286146. + 179033.i 0.574088 + 0.359190i
\(707\) 133423. 159007.i 0.266926 0.318110i
\(708\) −138351. 133912.i −0.276004 0.267149i
\(709\) −133037. + 754488.i −0.264654 + 1.50093i 0.505364 + 0.862906i \(0.331358\pi\)
−0.770018 + 0.638022i \(0.779753\pi\)
\(710\) 954391. 309492.i 1.89326 0.613950i
\(711\) −341377. + 197094.i −0.675298 + 0.389883i
\(712\) −16981.0 4901.00i −0.0334968 0.00966774i
\(713\) −684918. + 249290.i −1.34728 + 0.490371i
\(714\) −183755. 39168.9i −0.360447 0.0768326i
\(715\) 753441. + 434999.i 1.47379 + 0.850896i
\(716\) 48825.9 686865.i 0.0952410 1.33982i
\(717\) −3581.90 + 3005.57i −0.00696747 + 0.00584640i
\(718\) −78135.5 558297.i −0.151565 1.08297i
\(719\) 505235. 89086.5i 0.977317 0.172327i 0.337895 0.941184i \(-0.390285\pi\)
0.639422 + 0.768856i \(0.279174\pi\)
\(720\) 731274. + 104493.i 1.41064 + 0.201569i
\(721\) −155004. −0.298176
\(722\) 517293. 64378.9i 0.992344 0.123501i
\(723\) 182401.i 0.348940i
\(724\) 75880.1 302851.i 0.144761 0.577766i
\(725\) −155426. 881464.i −0.295697 1.67698i
\(726\) −16428.5 117385.i −0.0311690 0.222710i
\(727\) 655488. + 781180.i 1.24021 + 1.47803i 0.821808 + 0.569765i \(0.192966\pi\)
0.418404 + 0.908261i \(0.362590\pi\)
\(728\) −726231. 754640.i −1.37029 1.42389i
\(729\) −67436.8 + 116804.i −0.126894 + 0.219787i
\(730\) −1.55993e6 332512.i −2.92724 0.623967i
\(731\) −241454. 663390.i −0.451856 1.24146i
\(732\) −1289.88 + 627.276i −0.00240728 + 0.00117067i
\(733\) −115246. 199613.i −0.214496 0.371518i 0.738621 0.674121i \(-0.235478\pi\)
−0.953117 + 0.302603i \(0.902144\pi\)
\(734\) 294012. 95343.1i 0.545725 0.176969i
\(735\) 158760. + 27993.6i 0.293877 + 0.0518184i
\(736\) 666089. 115472.i 1.22964 0.213167i
\(737\) −127902. 107323.i −0.235474 0.197586i
\(738\) −270246. 169085.i −0.496189 0.310451i
\(739\) 258871. 711243.i 0.474018 1.30235i −0.440480 0.897762i \(-0.645192\pi\)
0.914498 0.404591i \(-0.132586\pi\)
\(740\) −69220.0 665966.i −0.126406 1.21615i
\(741\) 328505. + 60507.8i 0.598282 + 0.110198i
\(742\) 228957. + 206392.i 0.415858 + 0.374874i
\(743\) 101615. 279185.i 0.184069 0.505726i −0.812997 0.582267i \(-0.802166\pi\)
0.997066 + 0.0765419i \(0.0243879\pi\)
\(744\) 104796. 213923.i 0.189320 0.386467i
\(745\) 386444. + 324265.i 0.696265 + 0.584236i
\(746\) −24997.9 + 704210.i −0.0449185 + 1.26539i
\(747\) −287873. 50759.9i −0.515894 0.0909660i
\(748\) 116627. 261138.i 0.208447 0.466732i
\(749\) −118717. 205624.i −0.211617 0.366531i
\(750\) 241985. + 97930.3i 0.430195 + 0.174098i
\(751\) −117557. 322984.i −0.208433 0.572666i 0.790789 0.612089i \(-0.209670\pi\)
−0.999223 + 0.0394225i \(0.987448\pi\)
\(752\) −323391. + 289836.i −0.571863 + 0.512526i
\(753\) −75247.7 + 130333.i −0.132710 + 0.229860i
\(754\) 553521. + 709317.i 0.973625 + 1.24766i
\(755\) −38565.0 45960.0i −0.0676549 0.0806280i
\(756\) 271368. 401321.i 0.474805 0.702180i
\(757\) 64616.6 + 366459.i 0.112759 + 0.639490i 0.987835 + 0.155504i \(0.0497002\pi\)
−0.875076 + 0.483986i \(0.839189\pi\)
\(758\) 100657. + 189571.i 0.175188 + 0.329939i
\(759\) 170249.i 0.295530i
\(760\) −878227. + 381218.i −1.52048 + 0.660003i
\(761\) −507063. −0.875574 −0.437787 0.899079i \(-0.644238\pi\)
−0.437787 + 0.899079i \(0.644238\pi\)
\(762\) 314115. 166786.i 0.540977 0.287243i
\(763\) 144989. 25565.4i 0.249049 0.0439141i
\(764\) −618240. 418046.i −1.05918 0.716205i
\(765\) 516534. 433423.i 0.882624 0.740610i
\(766\) −446742. + 348618.i −0.761376 + 0.594146i
\(767\) −848461. 489859.i −1.44225 0.832685i
\(768\) −130688. + 178144.i −0.221571 + 0.302029i
\(769\) 987248. 359329.i 1.66945 0.607631i 0.677646 0.735389i \(-0.263000\pi\)
0.991805 + 0.127758i \(0.0407781\pi\)
\(770\) −283599. + 700769.i −0.478325 + 1.18193i