Properties

Label 45.4.l.a.2.7
Level $45$
Weight $4$
Character 45.2
Analytic conductor $2.655$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.l (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.7
Character \(\chi\) \(=\) 45.2
Dual form 45.4.l.a.23.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.429078 - 1.60134i) q^{2} +(-4.91725 + 1.67949i) q^{3} +(4.54802 - 2.62580i) q^{4} +(-7.92902 - 7.88230i) q^{5} +(4.79931 + 7.15356i) q^{6} +(-30.4193 + 8.15082i) q^{7} +(-15.5344 - 15.5344i) q^{8} +(21.3587 - 16.5169i) q^{9} +O(q^{10})\) \(q+(-0.429078 - 1.60134i) q^{2} +(-4.91725 + 1.67949i) q^{3} +(4.54802 - 2.62580i) q^{4} +(-7.92902 - 7.88230i) q^{5} +(4.79931 + 7.15356i) q^{6} +(-30.4193 + 8.15082i) q^{7} +(-15.5344 - 15.5344i) q^{8} +(21.3587 - 16.5169i) q^{9} +(-9.22008 + 16.0792i) q^{10} +(-31.0214 - 17.9102i) q^{11} +(-17.9537 + 20.5500i) q^{12} +(53.6997 + 14.3888i) q^{13} +(26.1045 + 45.2143i) q^{14} +(52.2272 + 25.4426i) q^{15} +(2.79604 - 4.84288i) q^{16} +(29.9510 - 29.9510i) q^{17} +(-35.6137 - 27.1155i) q^{18} -17.7095i q^{19} +(-56.7587 - 15.0288i) q^{20} +(135.890 - 91.1683i) q^{21} +(-15.3698 + 57.3607i) q^{22} +(27.3107 - 101.925i) q^{23} +(102.476 + 50.2966i) q^{24} +(0.738685 + 124.998i) q^{25} -92.1654i q^{26} +(-77.2859 + 117.089i) q^{27} +(-116.945 + 116.945i) q^{28} +(-26.5786 + 46.0355i) q^{29} +(18.3327 - 94.5503i) q^{30} +(-19.1014 - 33.0846i) q^{31} +(-178.717 - 47.8872i) q^{32} +(182.620 + 35.9690i) q^{33} +(-60.8131 - 35.1104i) q^{34} +(305.442 + 175.146i) q^{35} +(53.7695 - 131.203i) q^{36} +(-75.1697 - 75.1697i) q^{37} +(-28.3590 + 7.59877i) q^{38} +(-288.220 + 19.4346i) q^{39} +(0.725746 + 245.619i) q^{40} +(-126.863 + 73.2444i) q^{41} +(-204.299 - 178.488i) q^{42} +(-140.961 - 526.075i) q^{43} -188.114 q^{44} +(-299.544 - 37.3926i) q^{45} -174.935 q^{46} +(43.2145 + 161.279i) q^{47} +(-5.61527 + 28.5095i) q^{48} +(561.849 - 324.384i) q^{49} +(199.847 - 54.8167i) q^{50} +(-96.9742 + 197.579i) q^{51} +(282.009 - 75.5641i) q^{52} +(-170.746 - 170.746i) q^{53} +(220.661 + 73.5208i) q^{54} +(104.796 + 386.530i) q^{55} +(599.162 + 345.926i) q^{56} +(29.7429 + 87.0821i) q^{57} +(85.1228 + 22.8086i) q^{58} +(28.0525 + 48.5883i) q^{59} +(304.337 - 21.4248i) q^{60} +(187.285 - 324.386i) q^{61} +(-44.7838 + 44.7838i) q^{62} +(-515.089 + 676.522i) q^{63} +261.998i q^{64} +(-312.369 - 537.366i) q^{65} +(-20.7596 - 307.870i) q^{66} +(-29.6904 + 110.806i) q^{67} +(57.5724 - 214.863i) q^{68} +(36.8879 + 547.058i) q^{69} +(149.410 - 564.268i) q^{70} +921.281i q^{71} +(-588.372 - 75.2138i) q^{72} +(373.434 - 373.434i) q^{73} +(-88.1187 + 152.626i) q^{74} +(-213.564 - 613.405i) q^{75} +(-46.5016 - 80.5432i) q^{76} +(1089.63 + 291.966i) q^{77} +(154.791 + 453.200i) q^{78} +(-492.922 - 284.589i) q^{79} +(-60.3429 + 16.3601i) q^{80} +(183.385 - 705.557i) q^{81} +(171.723 + 171.723i) q^{82} +(439.165 - 117.674i) q^{83} +(378.640 - 771.455i) q^{84} +(-473.565 + 1.39927i) q^{85} +(-781.941 + 451.454i) q^{86} +(53.3777 - 271.006i) q^{87} +(203.674 + 760.121i) q^{88} -148.257 q^{89} +(68.6496 + 495.717i) q^{90} -1750.79 q^{91} +(-143.425 - 535.269i) q^{92} +(149.492 + 130.605i) q^{93} +(239.720 - 138.402i) q^{94} +(-139.592 + 140.419i) q^{95} +(959.224 - 64.6801i) q^{96} +(-312.391 + 83.7049i) q^{97} +(-760.526 - 760.526i) q^{98} +(-958.396 + 129.839i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7} - 8 q^{10} - 36 q^{11} - 138 q^{12} - 2 q^{13} - 96 q^{15} + 316 q^{16} - 480 q^{18} + 378 q^{20} + 480 q^{21} - 34 q^{22} + 306 q^{23} - 146 q^{25} + 180 q^{27} - 232 q^{28} - 1170 q^{30} - 4 q^{31} - 1770 q^{32} - 294 q^{33} - 216 q^{36} + 136 q^{37} + 114 q^{38} + 126 q^{40} + 1992 q^{41} + 1698 q^{42} - 2 q^{43} + 1134 q^{45} - 952 q^{46} + 3462 q^{47} + 4326 q^{48} + 666 q^{50} - 2496 q^{51} - 242 q^{52} + 284 q^{55} - 7128 q^{56} - 2544 q^{57} + 534 q^{58} + 1818 q^{60} + 32 q^{61} - 4038 q^{63} - 2094 q^{65} + 2892 q^{66} + 610 q^{67} - 2694 q^{68} + 498 q^{70} - 1854 q^{72} - 8 q^{73} - 6408 q^{75} + 1368 q^{76} - 6486 q^{77} + 1434 q^{78} + 3012 q^{81} - 3784 q^{82} + 2814 q^{83} - 1658 q^{85} + 12480 q^{86} + 4830 q^{87} - 1338 q^{88} + 13914 q^{90} + 992 q^{91} + 13152 q^{92} + 8310 q^{93} + 4284 q^{95} - 7932 q^{96} + 358 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.429078 1.60134i −0.151702 0.566160i −0.999365 0.0356249i \(-0.988658\pi\)
0.847663 0.530535i \(-0.178009\pi\)
\(3\) −4.91725 + 1.67949i −0.946325 + 0.323217i
\(4\) 4.54802 2.62580i 0.568502 0.328225i
\(5\) −7.92902 7.88230i −0.709193 0.705014i
\(6\) 4.79931 + 7.15356i 0.326552 + 0.486738i
\(7\) −30.4193 + 8.15082i −1.64249 + 0.440103i −0.957495 0.288449i \(-0.906860\pi\)
−0.684991 + 0.728552i \(0.740194\pi\)
\(8\) −15.5344 15.5344i −0.686528 0.686528i
\(9\) 21.3587 16.5169i 0.791061 0.611737i
\(10\) −9.22008 + 16.0792i −0.291565 + 0.508469i
\(11\) −31.0214 17.9102i −0.850300 0.490921i 0.0104522 0.999945i \(-0.496673\pi\)
−0.860752 + 0.509025i \(0.830006\pi\)
\(12\) −17.9537 + 20.5500i −0.431900 + 0.494357i
\(13\) 53.6997 + 14.3888i 1.14566 + 0.306979i 0.781226 0.624249i \(-0.214595\pi\)
0.364437 + 0.931228i \(0.381261\pi\)
\(14\) 26.1045 + 45.2143i 0.498337 + 0.863145i
\(15\) 52.2272 + 25.4426i 0.899000 + 0.437949i
\(16\) 2.79604 4.84288i 0.0436881 0.0756700i
\(17\) 29.9510 29.9510i 0.427305 0.427305i −0.460404 0.887709i \(-0.652296\pi\)
0.887709 + 0.460404i \(0.152296\pi\)
\(18\) −35.6137 27.1155i −0.466346 0.355065i
\(19\) 17.7095i 0.213834i −0.994268 0.106917i \(-0.965902\pi\)
0.994268 0.106917i \(-0.0340979\pi\)
\(20\) −56.7587 15.0288i −0.634581 0.168027i
\(21\) 135.890 91.1683i 1.41208 0.947360i
\(22\) −15.3698 + 57.3607i −0.148947 + 0.555879i
\(23\) 27.3107 101.925i 0.247595 0.924036i −0.724467 0.689310i \(-0.757914\pi\)
0.972062 0.234726i \(-0.0754193\pi\)
\(24\) 102.476 + 50.2966i 0.871576 + 0.427781i
\(25\) 0.738685 + 124.998i 0.00590948 + 0.999983i
\(26\) 92.1654i 0.695197i
\(27\) −77.2859 + 117.089i −0.550877 + 0.834586i
\(28\) −116.945 + 116.945i −0.789304 + 0.789304i
\(29\) −26.5786 + 46.0355i −0.170190 + 0.294779i −0.938486 0.345316i \(-0.887772\pi\)
0.768296 + 0.640095i \(0.221105\pi\)
\(30\) 18.3327 94.5503i 0.111569 0.575415i
\(31\) −19.1014 33.0846i −0.110668 0.191683i 0.805372 0.592770i \(-0.201966\pi\)
−0.916040 + 0.401087i \(0.868632\pi\)
\(32\) −178.717 47.8872i −0.987284 0.264542i
\(33\) 182.620 + 35.9690i 0.963334 + 0.189739i
\(34\) −60.8131 35.1104i −0.306746 0.177100i
\(35\) 305.442 + 175.146i 1.47512 + 0.845858i
\(36\) 53.7695 131.203i 0.248933 0.607420i
\(37\) −75.1697 75.1697i −0.333995 0.333995i 0.520106 0.854102i \(-0.325892\pi\)
−0.854102 + 0.520106i \(0.825892\pi\)
\(38\) −28.3590 + 7.59877i −0.121064 + 0.0324390i
\(39\) −288.220 + 19.4346i −1.18339 + 0.0797955i
\(40\) 0.725746 + 245.619i 0.00286876 + 0.970893i
\(41\) −126.863 + 73.2444i −0.483236 + 0.278996i −0.721764 0.692139i \(-0.756668\pi\)
0.238528 + 0.971136i \(0.423335\pi\)
\(42\) −204.299 178.488i −0.750572 0.655744i
\(43\) −140.961 526.075i −0.499916 1.86571i −0.500542 0.865712i \(-0.666866\pi\)
0.000626116 1.00000i \(-0.499801\pi\)
\(44\) −188.114 −0.644530
\(45\) −299.544 37.3926i −0.992298 0.123870i
\(46\) −174.935 −0.560712
\(47\) 43.2145 + 161.279i 0.134117 + 0.500530i 1.00000 0.000284175i \(9.04559e-5\pi\)
−0.865883 + 0.500246i \(0.833243\pi\)
\(48\) −5.61527 + 28.5095i −0.0168853 + 0.0857291i
\(49\) 561.849 324.384i 1.63804 0.945725i
\(50\) 199.847 54.8167i 0.565253 0.155045i
\(51\) −96.9742 + 197.579i −0.266257 + 0.542481i
\(52\) 282.009 75.5641i 0.752070 0.201517i
\(53\) −170.746 170.746i −0.442525 0.442525i 0.450335 0.892860i \(-0.351305\pi\)
−0.892860 + 0.450335i \(0.851305\pi\)
\(54\) 220.661 + 73.5208i 0.556078 + 0.185276i
\(55\) 104.796 + 386.530i 0.256920 + 0.947631i
\(56\) 599.162 + 345.926i 1.42976 + 0.825470i
\(57\) 29.7429 + 87.0821i 0.0691147 + 0.202356i
\(58\) 85.1228 + 22.8086i 0.192710 + 0.0516365i
\(59\) 28.0525 + 48.5883i 0.0619004 + 0.107215i 0.895315 0.445434i \(-0.146951\pi\)
−0.833414 + 0.552648i \(0.813617\pi\)
\(60\) 304.337 21.4248i 0.654829 0.0460989i
\(61\) 187.285 324.386i 0.393104 0.680876i −0.599753 0.800185i \(-0.704735\pi\)
0.992857 + 0.119309i \(0.0380679\pi\)
\(62\) −44.7838 + 44.7838i −0.0917346 + 0.0917346i
\(63\) −515.089 + 676.522i −1.03008 + 1.35292i
\(64\) 261.998i 0.511716i
\(65\) −312.369 537.366i −0.596071 1.02542i
\(66\) −20.7596 307.870i −0.0387170 0.574185i
\(67\) −29.6904 + 110.806i −0.0541382 + 0.202046i −0.987698 0.156376i \(-0.950019\pi\)
0.933559 + 0.358423i \(0.116685\pi\)
\(68\) 57.5724 214.863i 0.102672 0.383176i
\(69\) 36.8879 + 547.058i 0.0643592 + 0.954465i
\(70\) 149.410 564.268i 0.255112 0.963471i
\(71\) 921.281i 1.53994i 0.638079 + 0.769971i \(0.279729\pi\)
−0.638079 + 0.769971i \(0.720271\pi\)
\(72\) −588.372 75.2138i −0.963060 0.123111i
\(73\) 373.434 373.434i 0.598729 0.598729i −0.341246 0.939974i \(-0.610849\pi\)
0.939974 + 0.341246i \(0.110849\pi\)
\(74\) −88.1187 + 152.626i −0.138427 + 0.239762i
\(75\) −213.564 613.405i −0.328804 0.944398i
\(76\) −46.5016 80.5432i −0.0701856 0.121565i
\(77\) 1089.63 + 291.966i 1.61266 + 0.432111i
\(78\) 154.791 + 453.200i 0.224700 + 0.657883i
\(79\) −492.922 284.589i −0.702000 0.405300i 0.106092 0.994356i \(-0.466166\pi\)
−0.808092 + 0.589056i \(0.799500\pi\)
\(80\) −60.3429 + 16.3601i −0.0843317 + 0.0228639i
\(81\) 183.385 705.557i 0.251556 0.967843i
\(82\) 171.723 + 171.723i 0.231264 + 0.231264i
\(83\) 439.165 117.674i 0.580779 0.155619i 0.0435432 0.999052i \(-0.486135\pi\)
0.537235 + 0.843432i \(0.319469\pi\)
\(84\) 378.640 771.455i 0.491822 1.00205i
\(85\) −473.565 + 1.39927i −0.604298 + 0.00178556i
\(86\) −781.941 + 451.454i −0.980452 + 0.566065i
\(87\) 53.3777 271.006i 0.0657780 0.333965i
\(88\) 203.674 + 760.121i 0.246724 + 0.920786i
\(89\) −148.257 −0.176575 −0.0882874 0.996095i \(-0.528139\pi\)
−0.0882874 + 0.996095i \(0.528139\pi\)
\(90\) 68.6496 + 495.717i 0.0804033 + 0.580591i
\(91\) −1750.79 −2.01684
\(92\) −143.425 535.269i −0.162533 0.606583i
\(93\) 149.492 + 130.605i 0.166683 + 0.145625i
\(94\) 239.720 138.402i 0.263034 0.151863i
\(95\) −139.592 + 140.419i −0.150756 + 0.151649i
\(96\) 959.224 64.6801i 1.01980 0.0687644i
\(97\) −312.391 + 83.7049i −0.326995 + 0.0876180i −0.418582 0.908179i \(-0.637473\pi\)
0.0915871 + 0.995797i \(0.470806\pi\)
\(98\) −760.526 760.526i −0.783926 0.783926i
\(99\) −958.396 + 129.839i −0.972954 + 0.131811i
\(100\) 331.579 + 566.553i 0.331579 + 0.566553i
\(101\) −225.111 129.968i −0.221776 0.128043i 0.384996 0.922918i \(-0.374203\pi\)
−0.606773 + 0.794875i \(0.707536\pi\)
\(102\) 358.000 + 70.5121i 0.347523 + 0.0684484i
\(103\) 1135.69 + 304.307i 1.08643 + 0.291109i 0.757229 0.653149i \(-0.226553\pi\)
0.329205 + 0.944259i \(0.393219\pi\)
\(104\) −610.670 1057.71i −0.575780 0.997280i
\(105\) −1796.09 348.250i −1.66934 0.323673i
\(106\) −200.160 + 346.687i −0.183408 + 0.317671i
\(107\) 832.828 832.828i 0.752453 0.752453i −0.222483 0.974937i \(-0.571416\pi\)
0.974937 + 0.222483i \(0.0714162\pi\)
\(108\) −44.0451 + 735.461i −0.0392430 + 0.655276i
\(109\) 494.550i 0.434581i −0.976107 0.217290i \(-0.930278\pi\)
0.976107 0.217290i \(-0.0697219\pi\)
\(110\) 574.001 333.665i 0.497535 0.289216i
\(111\) 495.874 + 243.382i 0.424021 + 0.208115i
\(112\) −45.5800 + 170.107i −0.0384545 + 0.143514i
\(113\) −426.881 + 1593.14i −0.355377 + 1.32629i 0.524632 + 0.851329i \(0.324203\pi\)
−0.880009 + 0.474957i \(0.842464\pi\)
\(114\) 126.686 84.9935i 0.104081 0.0698278i
\(115\) −1019.95 + 592.894i −0.827051 + 0.480762i
\(116\) 279.160i 0.223443i
\(117\) 1384.61 579.627i 1.09408 0.458004i
\(118\) 65.7698 65.7698i 0.0513102 0.0513102i
\(119\) −666.962 + 1155.21i −0.513784 + 0.889900i
\(120\) −416.082 1206.55i −0.316524 0.917853i
\(121\) −23.9492 41.4813i −0.0179934 0.0311655i
\(122\) −599.813 160.719i −0.445119 0.119269i
\(123\) 500.804 573.225i 0.367122 0.420211i
\(124\) −173.747 100.313i −0.125830 0.0726482i
\(125\) 979.413 996.933i 0.700811 0.713347i
\(126\) 1304.36 + 534.552i 0.922232 + 0.377950i
\(127\) 944.231 + 944.231i 0.659740 + 0.659740i 0.955318 0.295579i \(-0.0955124\pi\)
−0.295579 + 0.955318i \(0.595512\pi\)
\(128\) −1010.19 + 270.680i −0.697571 + 0.186914i
\(129\) 1576.68 + 2350.10i 1.07611 + 1.60399i
\(130\) −726.476 + 730.782i −0.490124 + 0.493029i
\(131\) 1480.35 854.679i 0.987317 0.570028i 0.0828457 0.996562i \(-0.473599\pi\)
0.904471 + 0.426535i \(0.140266\pi\)
\(132\) 925.005 315.935i 0.609935 0.208323i
\(133\) 144.347 + 538.711i 0.0941089 + 0.351219i
\(134\) 190.178 0.122603
\(135\) 1535.73 319.211i 0.979074 0.203506i
\(136\) −930.539 −0.586714
\(137\) −369.776 1380.02i −0.230599 0.860608i −0.980083 0.198586i \(-0.936365\pi\)
0.749484 0.662022i \(-0.230302\pi\)
\(138\) 860.199 293.801i 0.530616 0.181232i
\(139\) 304.149 175.600i 0.185594 0.107153i −0.404324 0.914616i \(-0.632493\pi\)
0.589918 + 0.807463i \(0.299160\pi\)
\(140\) 1849.05 5.46352i 1.11624 0.00329823i
\(141\) −483.362 720.469i −0.288698 0.430315i
\(142\) 1475.28 395.301i 0.871853 0.233612i
\(143\) −1408.13 1408.13i −0.823454 0.823454i
\(144\) −20.2697 149.619i −0.0117301 0.0865852i
\(145\) 573.608 155.516i 0.328521 0.0890681i
\(146\) −758.228 437.763i −0.429804 0.248148i
\(147\) −2217.95 + 2538.69i −1.24445 + 1.42441i
\(148\) −539.254 144.493i −0.299503 0.0802515i
\(149\) −817.396 1415.77i −0.449421 0.778419i 0.548928 0.835870i \(-0.315036\pi\)
−0.998348 + 0.0574504i \(0.981703\pi\)
\(150\) −890.634 + 605.188i −0.484800 + 0.329423i
\(151\) −238.948 + 413.869i −0.128777 + 0.223048i −0.923203 0.384313i \(-0.874438\pi\)
0.794426 + 0.607361i \(0.207772\pi\)
\(152\) −275.106 + 275.106i −0.146803 + 0.146803i
\(153\) 145.016 1134.41i 0.0766263 0.599423i
\(154\) 1870.15i 0.978576i
\(155\) −109.327 + 412.892i −0.0566542 + 0.213963i
\(156\) −1259.80 + 845.198i −0.646569 + 0.433782i
\(157\) −447.091 + 1668.57i −0.227272 + 0.848192i 0.754209 + 0.656634i \(0.228020\pi\)
−0.981481 + 0.191557i \(0.938646\pi\)
\(158\) −244.221 + 911.447i −0.122970 + 0.458929i
\(159\) 1126.37 + 552.836i 0.561804 + 0.275741i
\(160\) 1039.59 + 1788.40i 0.513669 + 0.883661i
\(161\) 3323.09i 1.62668i
\(162\) −1208.52 + 9.07787i −0.586115 + 0.00440262i
\(163\) 2222.14 2222.14i 1.06780 1.06780i 0.0702721 0.997528i \(-0.477613\pi\)
0.997528 0.0702721i \(-0.0223867\pi\)
\(164\) −384.650 + 666.234i −0.183147 + 0.317220i
\(165\) −1164.48 1724.66i −0.549421 0.813726i
\(166\) −376.872 652.762i −0.176211 0.305206i
\(167\) −1630.68 436.939i −0.755603 0.202463i −0.139601 0.990208i \(-0.544582\pi\)
−0.616002 + 0.787744i \(0.711249\pi\)
\(168\) −3527.20 694.721i −1.61982 0.319041i
\(169\) 773.962 + 446.847i 0.352281 + 0.203390i
\(170\) 205.437 + 757.738i 0.0926841 + 0.341858i
\(171\) −292.506 378.252i −0.130810 0.169156i
\(172\) −2022.46 2022.46i −0.896576 0.896576i
\(173\) 2637.73 706.777i 1.15921 0.310609i 0.372558 0.928009i \(-0.378481\pi\)
0.786649 + 0.617400i \(0.211814\pi\)
\(174\) −456.877 + 30.8070i −0.199056 + 0.0134223i
\(175\) −1041.30 3796.32i −0.449801 1.63986i
\(176\) −173.474 + 100.155i −0.0742959 + 0.0428948i
\(177\) −219.544 191.807i −0.0932315 0.0814526i
\(178\) 63.6136 + 237.409i 0.0267868 + 0.0999696i
\(179\) 484.184 0.202177 0.101088 0.994877i \(-0.467768\pi\)
0.101088 + 0.994877i \(0.467768\pi\)
\(180\) −1460.52 + 616.481i −0.604781 + 0.255277i
\(181\) 2651.62 1.08891 0.544456 0.838789i \(-0.316736\pi\)
0.544456 + 0.838789i \(0.316736\pi\)
\(182\) 751.224 + 2803.61i 0.305958 + 1.14185i
\(183\) −376.123 + 1909.63i −0.151933 + 0.771388i
\(184\) −2007.59 + 1159.08i −0.804357 + 0.464396i
\(185\) 3.51183 + 1188.53i 0.00139565 + 0.472339i
\(186\) 144.999 295.427i 0.0571606 0.116461i
\(187\) −1465.55 + 392.693i −0.573110 + 0.153564i
\(188\) 620.026 + 620.026i 0.240532 + 0.240532i
\(189\) 1396.61 4191.71i 0.537505 1.61324i
\(190\) 284.755 + 163.283i 0.108728 + 0.0623464i
\(191\) 785.170 + 453.318i 0.297450 + 0.171733i 0.641297 0.767293i \(-0.278397\pi\)
−0.343847 + 0.939026i \(0.611730\pi\)
\(192\) −440.022 1288.31i −0.165395 0.484249i
\(193\) −2622.33 702.651i −0.978028 0.262062i −0.265814 0.964024i \(-0.585641\pi\)
−0.712214 + 0.701963i \(0.752307\pi\)
\(194\) 268.080 + 464.328i 0.0992115 + 0.171839i
\(195\) 2438.49 + 2117.74i 0.895509 + 0.777717i
\(196\) 1703.53 2950.61i 0.620821 1.07529i
\(197\) 749.196 749.196i 0.270954 0.270954i −0.558530 0.829484i \(-0.688634\pi\)
0.829484 + 0.558530i \(0.188634\pi\)
\(198\) 619.143 + 1479.01i 0.222225 + 0.530851i
\(199\) 4679.84i 1.66706i 0.552473 + 0.833531i \(0.313684\pi\)
−0.552473 + 0.833531i \(0.686316\pi\)
\(200\) 1930.29 1953.24i 0.682459 0.690573i
\(201\) −40.1021 594.725i −0.0140726 0.208700i
\(202\) −111.533 + 416.247i −0.0388487 + 0.144985i
\(203\) 433.275 1617.00i 0.149803 0.559071i
\(204\) 77.7616 + 1153.23i 0.0266882 + 0.395794i
\(205\) 1583.23 + 419.216i 0.539404 + 0.142826i
\(206\) 1949.20i 0.659257i
\(207\) −1100.16 2628.07i −0.369404 0.882432i
\(208\) 219.830 219.830i 0.0732809 0.0732809i
\(209\) −317.181 + 549.374i −0.104975 + 0.181823i
\(210\) 212.996 + 3025.58i 0.0699910 + 0.994213i
\(211\) −2264.65 3922.50i −0.738887 1.27979i −0.952997 0.302981i \(-0.902018\pi\)
0.214109 0.976810i \(-0.431315\pi\)
\(212\) −1224.90 328.212i −0.396824 0.106329i
\(213\) −1547.28 4530.17i −0.497736 1.45729i
\(214\) −1690.99 976.293i −0.540157 0.311860i
\(215\) −3028.99 + 5282.35i −0.960817 + 1.67560i
\(216\) 3019.49 618.318i 0.951160 0.194774i
\(217\) 850.718 + 850.718i 0.266131 + 0.266131i
\(218\) −791.944 + 212.201i −0.246042 + 0.0659268i
\(219\) −1209.09 + 2463.45i −0.373072 + 0.760111i
\(220\) 1491.56 + 1482.77i 0.457096 + 0.454403i
\(221\) 2039.32 1177.40i 0.620721 0.358373i
\(222\) 176.968 898.494i 0.0535015 0.271635i
\(223\) 81.6646 + 304.776i 0.0245232 + 0.0915217i 0.977103 0.212768i \(-0.0682477\pi\)
−0.952580 + 0.304289i \(0.901581\pi\)
\(224\) 5826.77 1.73803
\(225\) 2080.35 + 2657.58i 0.616401 + 0.787433i
\(226\) 2734.33 0.804801
\(227\) 1211.60 + 4521.76i 0.354259 + 1.32211i 0.881415 + 0.472343i \(0.156592\pi\)
−0.527156 + 0.849769i \(0.676742\pi\)
\(228\) 363.931 + 317.952i 0.105710 + 0.0923548i
\(229\) 3088.47 1783.13i 0.891231 0.514552i 0.0168860 0.999857i \(-0.494625\pi\)
0.874345 + 0.485305i \(0.161291\pi\)
\(230\) 1387.06 + 1378.89i 0.397653 + 0.395310i
\(231\) −5848.34 + 394.351i −1.66577 + 0.112322i
\(232\) 1128.01 302.250i 0.319214 0.0855332i
\(233\) −32.0022 32.0022i −0.00899801 0.00899801i 0.702593 0.711591i \(-0.252025\pi\)
−0.711591 + 0.702593i \(0.752025\pi\)
\(234\) −1522.29 1968.53i −0.425278 0.549944i
\(235\) 928.599 1619.41i 0.257766 0.449527i
\(236\) 255.166 + 147.320i 0.0703810 + 0.0406345i
\(237\) 2901.78 + 571.538i 0.795320 + 0.156647i
\(238\) 2136.07 + 572.358i 0.581768 + 0.155884i
\(239\) −171.781 297.534i −0.0464921 0.0805267i 0.841843 0.539723i \(-0.181471\pi\)
−0.888335 + 0.459196i \(0.848138\pi\)
\(240\) 269.244 181.791i 0.0724152 0.0488941i
\(241\) −2279.51 + 3948.22i −0.609277 + 1.05530i 0.382082 + 0.924128i \(0.375207\pi\)
−0.991360 + 0.131171i \(0.958126\pi\)
\(242\) −56.1496 + 56.1496i −0.0149150 + 0.0149150i
\(243\) 283.226 + 3777.39i 0.0747692 + 0.997201i
\(244\) 1967.09i 0.516106i
\(245\) −7011.80 1856.62i −1.82844 0.484143i
\(246\) −1132.81 556.000i −0.293600 0.144103i
\(247\) 254.819 950.996i 0.0656426 0.244981i
\(248\) −217.220 + 810.677i −0.0556189 + 0.207573i
\(249\) −1961.85 + 1316.20i −0.499306 + 0.334984i
\(250\) −2016.67 1140.61i −0.510183 0.288555i
\(251\) 6166.99i 1.55083i −0.631455 0.775413i \(-0.717542\pi\)
0.631455 0.775413i \(-0.282458\pi\)
\(252\) −566.220 + 4429.35i −0.141542 + 1.10723i
\(253\) −2672.71 + 2672.71i −0.664158 + 0.664158i
\(254\) 1106.89 1917.18i 0.273434 0.473602i
\(255\) 2326.29 802.226i 0.571285 0.197009i
\(256\) 1914.90 + 3316.70i 0.467504 + 0.809740i
\(257\) −5581.97 1495.68i −1.35484 0.363028i −0.492920 0.870075i \(-0.664071\pi\)
−0.861919 + 0.507047i \(0.830737\pi\)
\(258\) 3086.79 3533.17i 0.744865 0.852580i
\(259\) 2899.30 + 1673.91i 0.695575 + 0.401590i
\(260\) −2831.68 1623.73i −0.675435 0.387306i
\(261\) 192.680 + 1422.25i 0.0456957 + 0.337300i
\(262\) −2003.82 2003.82i −0.472505 0.472505i
\(263\) 2387.18 639.642i 0.559694 0.149970i 0.0321282 0.999484i \(-0.489772\pi\)
0.527566 + 0.849514i \(0.323105\pi\)
\(264\) −2278.13 3395.64i −0.531095 0.791617i
\(265\) 7.97705 + 2699.72i 0.00184916 + 0.625822i
\(266\) 800.723 462.298i 0.184570 0.106561i
\(267\) 729.014 248.995i 0.167097 0.0570720i
\(268\) 155.922 + 581.909i 0.0355390 + 0.132633i
\(269\) −5983.06 −1.35611 −0.678055 0.735012i \(-0.737177\pi\)
−0.678055 + 0.735012i \(0.737177\pi\)
\(270\) −1170.12 2322.27i −0.263744 0.523440i
\(271\) 228.531 0.0512260 0.0256130 0.999672i \(-0.491846\pi\)
0.0256130 + 0.999672i \(0.491846\pi\)
\(272\) −61.3049 228.793i −0.0136660 0.0510023i
\(273\) 8609.05 2940.42i 1.90858 0.651876i
\(274\) −2051.22 + 1184.28i −0.452259 + 0.261112i
\(275\) 2215.82 3890.84i 0.485887 0.853186i
\(276\) 1604.23 + 2391.17i 0.349867 + 0.521491i
\(277\) −3273.32 + 877.084i −0.710017 + 0.190249i −0.595713 0.803197i \(-0.703131\pi\)
−0.114304 + 0.993446i \(0.536464\pi\)
\(278\) −411.700 411.700i −0.0888206 0.0888206i
\(279\) −954.436 391.147i −0.204805 0.0839332i
\(280\) −2024.07 7465.63i −0.432005 1.59342i
\(281\) −7217.53 4167.04i −1.53225 0.884644i −0.999258 0.0385220i \(-0.987735\pi\)
−0.532990 0.846122i \(-0.678932\pi\)
\(282\) −946.317 + 1083.16i −0.199831 + 0.228729i
\(283\) −8023.23 2149.82i −1.68527 0.451567i −0.716107 0.697990i \(-0.754078\pi\)
−0.969162 + 0.246423i \(0.920745\pi\)
\(284\) 2419.10 + 4190.00i 0.505447 + 0.875461i
\(285\) 450.575 924.918i 0.0936484 0.192237i
\(286\) −1650.70 + 2859.10i −0.341287 + 0.591126i
\(287\) 3262.08 3262.08i 0.670921 0.670921i
\(288\) −4608.11 + 1929.05i −0.942832 + 0.394689i
\(289\) 3118.88i 0.634821i
\(290\) −495.156 851.813i −0.100264 0.172483i
\(291\) 1395.52 936.254i 0.281124 0.188605i
\(292\) 717.822 2678.95i 0.143861 0.536896i
\(293\) −2384.38 + 8898.62i −0.475416 + 1.77428i 0.144390 + 0.989521i \(0.453878\pi\)
−0.619806 + 0.784755i \(0.712789\pi\)
\(294\) 5016.99 + 2462.40i 0.995227 + 0.488470i
\(295\) 160.559 606.376i 0.0316885 0.119677i
\(296\) 2335.43i 0.458594i
\(297\) 4494.61 2248.06i 0.878127 0.439211i
\(298\) −1916.41 + 1916.41i −0.372532 + 0.372532i
\(299\) 2933.15 5080.37i 0.567320 0.982627i
\(300\) −2581.97 2229.00i −0.496901 0.428971i
\(301\) 8575.88 + 14853.9i 1.64221 + 2.84439i
\(302\) 765.273 + 205.054i 0.145816 + 0.0390714i
\(303\) 1325.21 + 261.014i 0.251258 + 0.0494881i
\(304\) −85.7651 49.5165i −0.0161808 0.00934199i
\(305\) −4041.89 + 1095.83i −0.758814 + 0.205729i
\(306\) −1878.80 + 254.531i −0.350993 + 0.0475509i
\(307\) −1803.17 1803.17i −0.335219 0.335219i 0.519346 0.854564i \(-0.326176\pi\)
−0.854564 + 0.519346i \(0.826176\pi\)
\(308\) 5722.30 1533.29i 1.05863 0.283659i
\(309\) −6095.54 + 411.020i −1.12221 + 0.0756702i
\(310\) 708.091 2.09224i 0.129732 0.000383327i
\(311\) −250.629 + 144.701i −0.0456974 + 0.0263834i −0.522675 0.852532i \(-0.675066\pi\)
0.476977 + 0.878916i \(0.341732\pi\)
\(312\) 4779.22 + 4175.42i 0.867213 + 0.757649i
\(313\) −505.039 1884.83i −0.0912028 0.340373i 0.905214 0.424957i \(-0.139711\pi\)
−0.996416 + 0.0845834i \(0.973044\pi\)
\(314\) 2863.78 0.514690
\(315\) 9416.70 1304.08i 1.68435 0.233258i
\(316\) −2989.09 −0.532118
\(317\) 1160.15 + 4329.75i 0.205554 + 0.767139i 0.989280 + 0.146032i \(0.0466502\pi\)
−0.783726 + 0.621107i \(0.786683\pi\)
\(318\) 401.979 2040.91i 0.0708864 0.359901i
\(319\) 1649.01 952.056i 0.289426 0.167100i
\(320\) 2065.15 2077.39i 0.360767 0.362905i
\(321\) −2696.50 + 5493.94i −0.468860 + 0.955271i
\(322\) 5321.40 1425.86i 0.920962 0.246771i
\(323\) −530.418 530.418i −0.0913722 0.0913722i
\(324\) −1018.62 3690.42i −0.174660 0.632788i
\(325\) −1758.90 + 6722.97i −0.300204 + 1.14746i
\(326\) −4511.87 2604.93i −0.766533 0.442558i
\(327\) 830.590 + 2431.83i 0.140464 + 0.411255i
\(328\) 3108.54 + 832.931i 0.523294 + 0.140216i
\(329\) −2629.11 4553.75i −0.440570 0.763089i
\(330\) −2262.12 + 2604.74i −0.377351 + 0.434504i
\(331\) 4301.37 7450.20i 0.714274 1.23716i −0.248964 0.968513i \(-0.580090\pi\)
0.963239 0.268647i \(-0.0865765\pi\)
\(332\) 1688.34 1688.34i 0.279096 0.279096i
\(333\) −2847.09 363.954i −0.468528 0.0598936i
\(334\) 2798.76i 0.458506i
\(335\) 1108.82 644.555i 0.180840 0.105122i
\(336\) −61.5638 913.008i −0.00999577 0.148240i
\(337\) 1745.21 6513.21i 0.282100 1.05281i −0.668833 0.743412i \(-0.733206\pi\)
0.950933 0.309397i \(-0.100127\pi\)
\(338\) 383.465 1431.11i 0.0617093 0.230302i
\(339\) −576.579 8550.82i −0.0923760 1.36996i
\(340\) −2150.11 + 1249.85i −0.342959 + 0.199361i
\(341\) 1368.44i 0.217317i
\(342\) −480.202 + 630.702i −0.0759250 + 0.0997206i
\(343\) −6808.97 + 6808.97i −1.07187 + 1.07187i
\(344\) −5982.49 + 10362.0i −0.937657 + 1.62407i
\(345\) 4019.59 4628.40i 0.627268 0.722274i
\(346\) −2263.58 3920.64i −0.351708 0.609176i
\(347\) 11379.2 + 3049.05i 1.76043 + 0.471705i 0.986801 0.161938i \(-0.0517744\pi\)
0.773626 + 0.633643i \(0.218441\pi\)
\(348\) −468.846 1372.70i −0.0722206 0.211450i
\(349\) −6061.28 3499.48i −0.929664 0.536742i −0.0429588 0.999077i \(-0.513678\pi\)
−0.886705 + 0.462335i \(0.847012\pi\)
\(350\) −5632.40 + 3296.40i −0.860185 + 0.503429i
\(351\) −5835.00 + 5175.60i −0.887320 + 0.787046i
\(352\) 4686.39 + 4686.39i 0.709618 + 0.709618i
\(353\) 6870.23 1840.87i 1.03588 0.277563i 0.299475 0.954104i \(-0.403189\pi\)
0.736405 + 0.676541i \(0.236522\pi\)
\(354\) −212.947 + 433.866i −0.0319718 + 0.0651404i
\(355\) 7261.81 7304.85i 1.08568 1.09212i
\(356\) −674.273 + 389.292i −0.100383 + 0.0579563i
\(357\) 1339.46 6800.62i 0.198576 1.00820i
\(358\) −207.753 775.344i −0.0306706 0.114464i
\(359\) 10744.0 1.57951 0.789755 0.613422i \(-0.210208\pi\)
0.789755 + 0.613422i \(0.210208\pi\)
\(360\) 4072.36 + 5234.10i 0.596200 + 0.766281i
\(361\) 6545.37 0.954275
\(362\) −1137.75 4246.15i −0.165190 0.616498i
\(363\) 187.432 + 163.751i 0.0271009 + 0.0236769i
\(364\) −7962.60 + 4597.21i −1.14658 + 0.661976i
\(365\) −5904.49 + 17.4464i −0.846726 + 0.00250188i
\(366\) 3219.36 217.080i 0.459777 0.0310026i
\(367\) −1991.06 + 533.504i −0.283195 + 0.0758820i −0.397621 0.917550i \(-0.630164\pi\)
0.114425 + 0.993432i \(0.463497\pi\)
\(368\) −417.248 417.248i −0.0591048 0.0591048i
\(369\) −1499.85 + 3659.78i −0.211597 + 0.516316i
\(370\) 1901.74 515.597i 0.267207 0.0724449i
\(371\) 6585.70 + 3802.25i 0.921597 + 0.532084i
\(372\) 1022.83 + 201.458i 0.142557 + 0.0280783i
\(373\) 7625.58 + 2043.27i 1.05855 + 0.283637i 0.745779 0.666193i \(-0.232077\pi\)
0.312767 + 0.949830i \(0.398744\pi\)
\(374\) 1257.67 + 2178.35i 0.173884 + 0.301176i
\(375\) −3141.68 + 6547.08i −0.432629 + 0.901572i
\(376\) 1834.05 3176.67i 0.251553 0.435703i
\(377\) −2089.66 + 2089.66i −0.285472 + 0.285472i
\(378\) −7311.61 437.876i −0.994891 0.0595818i
\(379\) 7547.27i 1.02289i −0.859315 0.511447i \(-0.829110\pi\)
0.859315 0.511447i \(-0.170890\pi\)
\(380\) −266.153 + 1005.17i −0.0359299 + 0.135695i
\(381\) −6228.84 3057.20i −0.837567 0.411089i
\(382\) 389.018 1451.83i 0.0521044 0.194456i
\(383\) −1444.78 + 5392.00i −0.192754 + 0.719369i 0.800082 + 0.599890i \(0.204789\pi\)
−0.992837 + 0.119479i \(0.961878\pi\)
\(384\) 4512.76 3027.60i 0.599715 0.402348i
\(385\) −6338.34 10903.8i −0.839043 1.44340i
\(386\) 4500.74i 0.593475i
\(387\) −11699.9 8908.00i −1.53679 1.17008i
\(388\) −1200.97 + 1200.97i −0.157139 + 0.157139i
\(389\) −3919.49 + 6788.76i −0.510864 + 0.884842i 0.489057 + 0.872252i \(0.337341\pi\)
−0.999921 + 0.0125902i \(0.995992\pi\)
\(390\) 2344.92 4813.54i 0.304461 0.624982i
\(391\) −2234.77 3870.74i −0.289047 0.500643i
\(392\) −13767.1 3688.87i −1.77383 0.475297i
\(393\) −5843.81 + 6688.89i −0.750080 + 0.858549i
\(394\) −1521.18 878.255i −0.194508 0.112299i
\(395\) 1665.17 + 6141.87i 0.212111 + 0.782356i
\(396\) −4017.87 + 3107.06i −0.509863 + 0.394283i
\(397\) 488.460 + 488.460i 0.0617509 + 0.0617509i 0.737308 0.675557i \(-0.236097\pi\)
−0.675557 + 0.737308i \(0.736097\pi\)
\(398\) 7494.03 2008.02i 0.943823 0.252897i
\(399\) −1614.55 2406.55i −0.202578 0.301950i
\(400\) 607.415 + 345.921i 0.0759268 + 0.0432401i
\(401\) 7854.07 4534.55i 0.978088 0.564699i 0.0763957 0.997078i \(-0.475659\pi\)
0.901692 + 0.432378i \(0.142325\pi\)
\(402\) −935.151 + 319.401i −0.116023 + 0.0396275i
\(403\) −549.693 2051.48i −0.0679458 0.253577i
\(404\) −1365.08 −0.168107
\(405\) −7015.47 + 4148.88i −0.860745 + 0.509036i
\(406\) −2775.28 −0.339249
\(407\) 985.563 + 3678.17i 0.120031 + 0.447961i
\(408\) 4575.69 1562.83i 0.555222 0.189636i
\(409\) 1057.59 610.597i 0.127859 0.0738193i −0.434706 0.900572i \(-0.643148\pi\)
0.562565 + 0.826753i \(0.309815\pi\)
\(410\) −8.02270 2715.17i −0.000966373 0.327056i
\(411\) 4136.01 + 6164.88i 0.496385 + 0.739881i
\(412\) 5964.18 1598.10i 0.713189 0.191098i
\(413\) −1249.37 1249.37i −0.148856 0.148856i
\(414\) −3736.38 + 2889.38i −0.443558 + 0.343008i
\(415\) −4409.69 2528.59i −0.521598 0.299093i
\(416\) −8908.03 5143.06i −1.04989 0.606152i
\(417\) −1200.66 + 1374.28i −0.140999 + 0.161389i
\(418\) 1015.83 + 272.191i 0.118866 + 0.0318500i
\(419\) −8196.06 14196.0i −0.955618 1.65518i −0.732948 0.680285i \(-0.761856\pi\)
−0.222670 0.974894i \(-0.571477\pi\)
\(420\) −9083.08 + 3132.32i −1.05526 + 0.363909i
\(421\) −815.167 + 1411.91i −0.0943677 + 0.163450i −0.909345 0.416044i \(-0.863416\pi\)
0.814977 + 0.579494i \(0.196750\pi\)
\(422\) −5309.54 + 5309.54i −0.612475 + 0.612475i
\(423\) 3586.83 + 2730.93i 0.412287 + 0.313906i
\(424\) 5304.87i 0.607611i
\(425\) 3765.93 + 3721.68i 0.429823 + 0.424772i
\(426\) −6590.44 + 4421.51i −0.749549 + 0.502871i
\(427\) −3053.05 + 11394.1i −0.346012 + 1.29134i
\(428\) 1600.88 5974.55i 0.180797 0.674745i
\(429\) 9289.08 + 4559.20i 1.04541 + 0.513101i
\(430\) 9758.53 + 2583.91i 1.09441 + 0.289784i
\(431\) 9676.25i 1.08141i −0.841212 0.540706i \(-0.818157\pi\)
0.841212 0.540706i \(-0.181843\pi\)
\(432\) 350.954 + 701.672i 0.0390863 + 0.0781463i
\(433\) 6547.86 6547.86i 0.726720 0.726720i −0.243245 0.969965i \(-0.578212\pi\)
0.969965 + 0.243245i \(0.0782118\pi\)
\(434\) 997.265 1727.31i 0.110300 0.191045i
\(435\) −2559.39 + 1728.08i −0.282099 + 0.190471i
\(436\) −1298.59 2249.22i −0.142640 0.247060i
\(437\) −1805.04 483.660i −0.197590 0.0529441i
\(438\) 4463.61 + 879.158i 0.486940 + 0.0959082i
\(439\) 14231.6 + 8216.60i 1.54723 + 0.893296i 0.998352 + 0.0573956i \(0.0182796\pi\)
0.548882 + 0.835900i \(0.315054\pi\)
\(440\) 4376.57 7632.43i 0.474192 0.826959i
\(441\) 6642.53 16208.4i 0.717259 1.75018i
\(442\) −2760.45 2760.45i −0.297061 0.297061i
\(443\) −6857.35 + 1837.42i −0.735446 + 0.197062i −0.607053 0.794661i \(-0.707648\pi\)
−0.128393 + 0.991723i \(0.540982\pi\)
\(444\) 2894.32 195.163i 0.309365 0.0208604i
\(445\) 1175.53 + 1168.60i 0.125226 + 0.124488i
\(446\) 453.010 261.546i 0.0480957 0.0277680i
\(447\) 6397.11 + 5588.89i 0.676896 + 0.591377i
\(448\) −2135.50 7969.80i −0.225207 0.840486i
\(449\) 15813.2 1.66207 0.831037 0.556218i \(-0.187748\pi\)
0.831037 + 0.556218i \(0.187748\pi\)
\(450\) 3363.07 4471.67i 0.352303 0.468436i
\(451\) 5247.29 0.547861
\(452\) 2241.81 + 8366.55i 0.233287 + 0.870640i
\(453\) 479.877 2436.41i 0.0497717 0.252698i
\(454\) 6721.00 3880.37i 0.694785 0.401134i
\(455\) 13882.0 + 13800.2i 1.43033 + 1.42190i
\(456\) 890.728 1814.80i 0.0914741 0.186373i
\(457\) −11690.9 + 3132.55i −1.19666 + 0.320645i −0.801516 0.597973i \(-0.795973\pi\)
−0.395147 + 0.918618i \(0.629306\pi\)
\(458\) −4180.59 4180.59i −0.426520 0.426520i
\(459\) 1192.15 + 5821.73i 0.121230 + 0.592015i
\(460\) −3081.93 + 5374.68i −0.312382 + 0.544773i
\(461\) 8677.59 + 5010.01i 0.876693 + 0.506159i 0.869567 0.493816i \(-0.164398\pi\)
0.00712658 + 0.999975i \(0.497732\pi\)
\(462\) 3140.88 + 9195.97i 0.316292 + 0.926051i
\(463\) −8700.34 2331.25i −0.873303 0.234001i −0.205787 0.978597i \(-0.565975\pi\)
−0.667515 + 0.744596i \(0.732642\pi\)
\(464\) 148.630 + 257.434i 0.0148706 + 0.0257566i
\(465\) −155.855 2213.91i −0.0155433 0.220790i
\(466\) −37.5150 + 64.9780i −0.00372929 + 0.00645933i
\(467\) −2385.09 + 2385.09i −0.236336 + 0.236336i −0.815331 0.578995i \(-0.803445\pi\)
0.578995 + 0.815331i \(0.303445\pi\)
\(468\) 4775.25 6271.86i 0.471659 0.619481i
\(469\) 3612.64i 0.355685i
\(470\) −2991.67 792.149i −0.293608 0.0777428i
\(471\) −603.875 8955.64i −0.0590767 0.876123i
\(472\) 319.011 1190.57i 0.0311095 0.116102i
\(473\) −5049.29 + 18844.2i −0.490838 + 1.83183i
\(474\) −329.864 4891.98i −0.0319645 0.474042i
\(475\) 2213.65 13.0818i 0.213830 0.00126365i
\(476\) 7005.24i 0.674547i
\(477\) −6467.11 826.714i −0.620773 0.0793556i
\(478\) −402.746 + 402.746i −0.0385380 + 0.0385380i
\(479\) −49.6552 + 86.0054i −0.00473654 + 0.00820394i −0.868384 0.495892i \(-0.834841\pi\)
0.863647 + 0.504096i \(0.168174\pi\)
\(480\) −8115.53 7048.04i −0.771712 0.670203i
\(481\) −2954.99 5118.19i −0.280116 0.485176i
\(482\) 7300.53 + 1956.17i 0.689897 + 0.184857i
\(483\) −5581.08 16340.4i −0.525772 1.53937i
\(484\) −217.843 125.772i −0.0204586 0.0118118i
\(485\) 3136.74 + 1798.66i 0.293674 + 0.168398i
\(486\) 5927.37 2074.34i 0.553232 0.193609i
\(487\) −752.120 752.120i −0.0699831 0.0699831i 0.671249 0.741232i \(-0.265758\pi\)
−0.741232 + 0.671249i \(0.765758\pi\)
\(488\) −7948.48 + 2129.79i −0.737317 + 0.197564i
\(489\) −7194.76 + 14658.9i −0.665354 + 1.35562i
\(490\) 35.5308 + 12024.9i 0.00327575 + 1.10863i
\(491\) −3533.78 + 2040.23i −0.324801 + 0.187524i −0.653531 0.756900i \(-0.726713\pi\)
0.328729 + 0.944424i \(0.393380\pi\)
\(492\) 772.491 3922.05i 0.0707857 0.359390i
\(493\) 582.753 + 2174.86i 0.0532371 + 0.198684i
\(494\) −1632.21 −0.148657
\(495\) 8622.57 + 6524.87i 0.782941 + 0.592467i
\(496\) −213.633 −0.0193395
\(497\) −7509.19 28024.7i −0.677733 2.52933i
\(498\) 2949.48 + 2576.84i 0.265400 + 0.231869i
\(499\) −4377.28 + 2527.22i −0.392693 + 0.226722i −0.683326 0.730113i \(-0.739467\pi\)
0.290633 + 0.956835i \(0.406134\pi\)
\(500\) 1836.64 7105.81i 0.164274 0.635563i
\(501\) 8752.29 590.163i 0.780486 0.0526279i
\(502\) −9875.46 + 2646.12i −0.878014 + 0.235263i
\(503\) −4080.19 4080.19i −0.361683 0.361683i 0.502749 0.864432i \(-0.332322\pi\)
−0.864432 + 0.502749i \(0.832322\pi\)
\(504\) 18510.9 2507.77i 1.63600 0.221637i
\(505\) 760.465 + 2804.92i 0.0670104 + 0.247163i
\(506\) 5426.73 + 3133.12i 0.476774 + 0.275265i
\(507\) −4556.24 897.401i −0.399112 0.0786094i
\(508\) 6773.74 + 1815.02i 0.591607 + 0.158521i
\(509\) −3668.96 6354.83i −0.319497 0.553385i 0.660886 0.750486i \(-0.270181\pi\)
−0.980383 + 0.197101i \(0.936847\pi\)
\(510\) −2282.79 3380.96i −0.198204 0.293552i
\(511\) −8315.80 + 14403.4i −0.719901 + 1.24691i
\(512\) −1426.57 + 1426.57i −0.123137 + 0.123137i
\(513\) 2073.59 + 1368.70i 0.178463 + 0.117796i
\(514\) 9580.40i 0.822127i
\(515\) −6606.26 11364.7i −0.565255 0.972404i
\(516\) 13341.6 + 6548.25i 1.13824 + 0.558664i
\(517\) 1547.96 5777.07i 0.131681 0.491441i
\(518\) 1436.48 5361.01i 0.121844 0.454728i
\(519\) −11783.3 + 7905.43i −0.996592 + 0.668612i
\(520\) −3495.18 + 13200.1i −0.294758 + 1.11320i
\(521\) 4773.62i 0.401412i −0.979651 0.200706i \(-0.935676\pi\)
0.979651 0.200706i \(-0.0643237\pi\)
\(522\) 2194.84 918.804i 0.184033 0.0770401i
\(523\) 3198.98 3198.98i 0.267460 0.267460i −0.560616 0.828076i \(-0.689436\pi\)
0.828076 + 0.560616i \(0.189436\pi\)
\(524\) 4488.43 7774.19i 0.374195 0.648124i
\(525\) 11496.2 + 16918.6i 0.955688 + 1.40645i
\(526\) −2048.57 3548.23i −0.169813 0.294125i
\(527\) −1563.02 418.811i −0.129196 0.0346180i
\(528\) 684.805 783.835i 0.0564438 0.0646061i
\(529\) 894.110 + 516.215i 0.0734865 + 0.0424274i
\(530\) 4319.76 1171.17i 0.354034 0.0959853i
\(531\) 1401.69 + 574.442i 0.114554 + 0.0469466i
\(532\) 2071.04 + 2071.04i 0.168780 + 0.168780i
\(533\) −7866.40 + 2107.80i −0.639272 + 0.171292i
\(534\) −711.529 1060.56i −0.0576608 0.0859457i
\(535\) −13168.1 + 38.9087i −1.06413 + 0.00314424i
\(536\) 2182.52 1260.08i 0.175878 0.101543i
\(537\) −2380.85 + 813.181i −0.191325 + 0.0653470i
\(538\) 2567.20 + 9580.91i 0.205724 + 0.767774i
\(539\) −23239.1 −1.85711
\(540\) 6146.36 5484.31i 0.489810 0.437050i
\(541\) −24284.5 −1.92989 −0.964945 0.262452i \(-0.915469\pi\)
−0.964945 + 0.262452i \(0.915469\pi\)
\(542\) −98.0575 365.955i −0.00777109 0.0290021i
\(543\) −13038.7 + 4453.35i −1.03047 + 0.351955i
\(544\) −6787.03 + 3918.50i −0.534911 + 0.308831i
\(545\) −3898.19 + 3921.30i −0.306386 + 0.308202i
\(546\) −8402.57 12524.4i −0.658602 0.981672i
\(547\) −3858.66 + 1033.92i −0.301617 + 0.0808180i −0.406454 0.913671i \(-0.633235\pi\)
0.104837 + 0.994489i \(0.466568\pi\)
\(548\) −5305.41 5305.41i −0.413569 0.413569i
\(549\) −1357.71 10021.8i −0.105547 0.779091i
\(550\) −7181.31 1878.81i −0.556750 0.145660i
\(551\) 815.267 + 470.694i 0.0630336 + 0.0363925i
\(552\) 7925.17 9071.23i 0.611083 0.699451i
\(553\) 17313.9 + 4639.26i 1.33140 + 0.356747i
\(554\) 2809.02 + 4865.37i 0.215422 + 0.373122i
\(555\) −2013.39 5838.41i −0.153989 0.446535i
\(556\) 922.183 1597.27i 0.0703404 0.121833i
\(557\) 12226.1 12226.1i 0.930051 0.930051i −0.0676576 0.997709i \(-0.521553\pi\)
0.997709 + 0.0676576i \(0.0215526\pi\)
\(558\) −216.833 + 1696.21i −0.0164503 + 0.128685i
\(559\) 30278.3i 2.29094i
\(560\) 1702.24 989.505i 0.128451 0.0746682i
\(561\) 6546.95 4392.34i 0.492714 0.330561i
\(562\) −3575.97 + 13345.7i −0.268404 + 1.00170i
\(563\) 3386.78 12639.6i 0.253527 0.946176i −0.715377 0.698739i \(-0.753745\pi\)
0.968904 0.247437i \(-0.0795884\pi\)
\(564\) −4090.15 2007.50i −0.305366 0.149877i
\(565\) 15942.4 9267.25i 1.18708 0.690047i
\(566\) 13770.4i 1.02264i
\(567\) 172.444 + 22957.3i 0.0127724 + 1.70038i
\(568\) 14311.5 14311.5i 1.05721 1.05721i
\(569\) −4163.99 + 7212.24i −0.306790 + 0.531376i −0.977658 0.210201i \(-0.932588\pi\)
0.670868 + 0.741577i \(0.265922\pi\)
\(570\) −1674.44 324.663i −0.123043 0.0238573i
\(571\) −4453.29 7713.32i −0.326382 0.565311i 0.655409 0.755274i \(-0.272496\pi\)
−0.981791 + 0.189964i \(0.939163\pi\)
\(572\) −10101.7 2706.74i −0.738414 0.197857i
\(573\) −4622.22 910.396i −0.336991 0.0663741i
\(574\) −6623.39 3824.01i −0.481629 0.278068i
\(575\) 12760.6 + 3338.49i 0.925483 + 0.242130i
\(576\) 4327.40 + 5595.93i 0.313035 + 0.404798i
\(577\) 11134.8 + 11134.8i 0.803374 + 0.803374i 0.983621 0.180248i \(-0.0576899\pi\)
−0.180248 + 0.983621i \(0.557690\pi\)
\(578\) 4994.38 1338.24i 0.359410 0.0963036i
\(579\) 14074.7 949.054i 1.01023 0.0681198i
\(580\) 2200.43 2213.47i 0.157531 0.158464i
\(581\) −12399.9 + 7159.11i −0.885432 + 0.511205i
\(582\) −2098.05 1832.98i −0.149428 0.130549i
\(583\) 2238.68 + 8354.89i 0.159034 + 0.593523i
\(584\) −11602.1 −0.822088
\(585\) −15547.4 6318.05i −1.09881 0.446529i
\(586\) 15272.8 1.07664
\(587\) 4519.05 + 16865.3i 0.317753 + 1.18587i 0.921399 + 0.388618i \(0.127048\pi\)
−0.603646 + 0.797253i \(0.706286\pi\)
\(588\) −3421.20 + 17369.9i −0.239945 + 1.21824i
\(589\) −585.913 + 338.277i −0.0409883 + 0.0236646i
\(590\) −1039.91 + 3.07268i −0.0725632 + 0.000214407i
\(591\) −2425.72 + 4942.25i −0.168834 + 0.343988i
\(592\) −574.215 + 153.860i −0.0398650 + 0.0106818i
\(593\) −4464.48 4464.48i −0.309164 0.309164i 0.535421 0.844585i \(-0.320153\pi\)
−0.844585 + 0.535421i \(0.820153\pi\)
\(594\) −5528.45 6232.81i −0.381877 0.430531i
\(595\) 14394.1 3902.50i 0.991765 0.268886i
\(596\) −7435.06 4292.63i −0.510993 0.295022i
\(597\) −7859.73 23011.9i −0.538823 1.57758i
\(598\) −9393.96 2517.10i −0.642387 0.172127i
\(599\) 7836.14 + 13572.6i 0.534517 + 0.925811i 0.999187 + 0.0403269i \(0.0128399\pi\)
−0.464669 + 0.885484i \(0.653827\pi\)
\(600\) −6211.26 + 12846.4i −0.422623 + 0.874089i
\(601\) −3405.59 + 5898.65i −0.231143 + 0.400351i −0.958145 0.286284i \(-0.907580\pi\)
0.727002 + 0.686635i \(0.240913\pi\)
\(602\) 20106.4 20106.4i 1.36125 1.36125i
\(603\) 1196.02 + 2857.06i 0.0807726 + 0.192949i
\(604\) 2509.71i 0.169071i
\(605\) −137.074 + 517.681i −0.00921133 + 0.0347880i
\(606\) −150.645 2234.11i −0.0100982 0.149760i
\(607\) 223.118 832.687i 0.0149194 0.0556800i −0.958065 0.286552i \(-0.907491\pi\)
0.972984 + 0.230872i \(0.0741577\pi\)
\(608\) −848.059 + 3165.00i −0.0565680 + 0.211115i
\(609\) 585.214 + 8678.89i 0.0389393 + 0.577481i
\(610\) 3489.09 + 6002.25i 0.231589 + 0.398400i
\(611\) 9282.42i 0.614610i
\(612\) −2319.20 5540.10i −0.153183 0.365924i
\(613\) 2254.58 2254.58i 0.148551 0.148551i −0.628920 0.777470i \(-0.716503\pi\)
0.777470 + 0.628920i \(0.216503\pi\)
\(614\) −2113.79 + 3661.18i −0.138934 + 0.240641i
\(615\) −8489.22 + 597.627i −0.556615 + 0.0391848i
\(616\) −12391.2 21462.2i −0.810481 1.40379i
\(617\) 21865.6 + 5858.87i 1.42670 + 0.382284i 0.887857 0.460120i \(-0.152194\pi\)
0.538847 + 0.842404i \(0.318860\pi\)
\(618\) 3273.65 + 9584.68i 0.213083 + 0.623871i
\(619\) 4224.11 + 2438.79i 0.274283 + 0.158357i 0.630832 0.775919i \(-0.282714\pi\)
−0.356549 + 0.934276i \(0.616047\pi\)
\(620\) 586.948 + 2164.91i 0.0380200 + 0.140234i
\(621\) 9823.58 + 11075.2i 0.634793 + 0.715669i
\(622\) 339.255 + 339.255i 0.0218696 + 0.0218696i
\(623\) 4509.86 1208.41i 0.290022 0.0777111i
\(624\) −711.756 + 1450.16i −0.0456619 + 0.0930332i
\(625\) −15623.9 + 184.668i −0.999930 + 0.0118188i
\(626\) −2801.55 + 1617.48i −0.178870 + 0.103271i
\(627\) 636.993 3234.11i 0.0405727 0.205993i
\(628\) 2347.94 + 8762.64i 0.149193 + 0.556795i
\(629\) −4502.81 −0.285436
\(630\) −6128.77 14519.8i −0.387581 0.918226i
\(631\) 3038.06 0.191669 0.0958346 0.995397i \(-0.469448\pi\)
0.0958346 + 0.995397i \(0.469448\pi\)
\(632\) 3236.32 + 12078.1i 0.203693 + 0.760193i
\(633\) 17723.6 + 15484.4i 1.11288 + 0.972276i
\(634\) 6435.61 3715.60i 0.403140 0.232753i
\(635\) −44.1133 14929.5i −0.00275682 0.933009i
\(636\) 6574.38 443.308i 0.409891 0.0276388i
\(637\) 34838.6 9334.98i 2.16696 0.580636i
\(638\) −2232.12 2232.12i −0.138512 0.138512i
\(639\) 15216.7 + 19677.3i 0.942039 + 1.21819i
\(640\) 10143.4 + 5816.40i 0.626489 + 0.359240i
\(641\) 18662.9 + 10775.1i 1.14999 + 0.663946i 0.948884 0.315624i \(-0.102214\pi\)
0.201104 + 0.979570i \(0.435547\pi\)
\(642\) 9954.69 + 1960.68i 0.611963 + 0.120533i
\(643\) −8185.22 2193.22i −0.502012 0.134514i −0.00107824 0.999999i \(-0.500343\pi\)
−0.500933 + 0.865486i \(0.667010\pi\)
\(644\) 8725.76 + 15113.5i 0.533918 + 0.924773i
\(645\) 6022.68 31061.8i 0.367663 1.89621i
\(646\) −621.789 + 1076.97i −0.0378699 + 0.0655926i
\(647\) −23205.8 + 23205.8i −1.41007 + 1.41007i −0.650953 + 0.759118i \(0.725630\pi\)
−0.759118 + 0.650953i \(0.774370\pi\)
\(648\) −13809.1 + 8111.62i −0.837152 + 0.491751i
\(649\) 2009.70i 0.121553i
\(650\) 11520.5 68.0812i 0.695185 0.00410825i
\(651\) −5611.96 2754.42i −0.337865 0.165829i
\(652\) 4271.44 15941.2i 0.256568 0.957525i
\(653\) 6103.35 22778.0i 0.365762 1.36504i −0.500623 0.865666i \(-0.666896\pi\)
0.866385 0.499377i \(-0.166438\pi\)
\(654\) 3537.79 2373.50i 0.211527 0.141913i
\(655\) −18474.5 4891.78i −1.10208 0.291813i
\(656\) 819.176i 0.0487553i
\(657\) 1808.08 14144.0i 0.107367 0.839895i
\(658\) −6164.01 + 6164.01i −0.365195 + 0.365195i
\(659\) 11587.9 20070.8i 0.684976 1.18641i −0.288469 0.957489i \(-0.593146\pi\)
0.973444 0.228923i \(-0.0735205\pi\)
\(660\) −9824.68 4786.11i −0.579432 0.282271i
\(661\) 7538.30 + 13056.7i 0.443580 + 0.768302i 0.997952 0.0639664i \(-0.0203750\pi\)
−0.554373 + 0.832269i \(0.687042\pi\)
\(662\) −13775.9 3691.25i −0.808787 0.216714i
\(663\) −8050.40 + 9214.58i −0.471571 + 0.539765i
\(664\) −8650.14 4994.16i −0.505558 0.291884i
\(665\) 3101.75 5409.23i 0.180873 0.315430i
\(666\) 638.811 + 4715.33i 0.0371673 + 0.274348i
\(667\) 3966.29 + 3966.29i 0.230248 + 0.230248i
\(668\) −8563.67 + 2294.63i −0.496016 + 0.132907i
\(669\) −913.432 1361.51i −0.0527882 0.0786829i
\(670\) −1507.92 1499.04i −0.0869495 0.0864372i
\(671\) −11619.7 + 6708.61i −0.668512 + 0.385966i
\(672\) −28651.7 + 9785.98i −1.64474 + 0.561760i
\(673\) −3781.35 14112.2i −0.216583 0.808298i −0.985603 0.169074i \(-0.945922\pi\)
0.769021 0.639224i \(-0.220744\pi\)
\(674\) −11178.7 −0.638853
\(675\) −14693.0 9574.08i −0.837827 0.545936i
\(676\) 4693.32 0.267030
\(677\) −2647.83 9881.83i −0.150317 0.560989i −0.999461 0.0328285i \(-0.989548\pi\)
0.849144 0.528161i \(-0.177118\pi\)
\(678\) −13445.4 + 4592.27i −0.761603 + 0.260125i
\(679\) 8820.44 5092.48i 0.498523 0.287823i
\(680\) 7378.26 + 7334.79i 0.416093 + 0.413642i
\(681\) −13552.0 20199.7i −0.762573 1.13665i
\(682\) 2191.34 587.168i 0.123036 0.0329675i
\(683\) 21858.2 + 21858.2i 1.22457 + 1.22457i 0.965990 + 0.258579i \(0.0832541\pi\)
0.258579 + 0.965990i \(0.416746\pi\)
\(684\) −2323.54 952.232i −0.129887 0.0532303i
\(685\) −7945.79 + 13856.9i −0.443202 + 0.772913i
\(686\) 13825.1 + 7981.91i 0.769451 + 0.444243i
\(687\) −12192.0 + 13955.1i −0.677082 + 0.774995i
\(688\) −2941.85 788.266i −0.163019 0.0436807i
\(689\) −6712.19 11625.9i −0.371138 0.642830i
\(690\) −9136.36 4450.79i −0.504080 0.245564i
\(691\) 7416.99 12846.6i 0.408329 0.707247i −0.586373 0.810041i \(-0.699445\pi\)
0.994703 + 0.102794i \(0.0327782\pi\)
\(692\) 10140.6 10140.6i 0.557062 0.557062i
\(693\) 28095.4 11761.3i 1.54005 0.644698i
\(694\) 19530.3i 1.06824i
\(695\) −3795.74 1005.05i −0.207166 0.0548545i
\(696\) −5039.10 + 3380.72i −0.274435 + 0.184118i
\(697\) −1605.93 + 5993.42i −0.0872725 + 0.325706i
\(698\) −3003.10 + 11207.7i −0.162850 + 0.607763i
\(699\) 211.110 + 103.616i 0.0114233 + 0.00560673i
\(700\) −14704.2 14531.5i −0.793955 0.784626i
\(701\) 29266.1i 1.57684i 0.615136 + 0.788421i \(0.289101\pi\)
−0.615136 + 0.788421i \(0.710899\pi\)
\(702\) 10791.6 + 7123.09i 0.580202 + 0.382968i
\(703\) −1331.22 + 1331.22i −0.0714195 + 0.0714195i
\(704\) 4692.44 8127.55i 0.251212 0.435112i
\(705\) −1846.37 + 9522.62i −0.0986360 + 0.508713i
\(706\) −5895.73 10211.7i −0.314290 0.544366i
\(707\) 7907.07 + 2118.69i 0.420617 + 0.112704i
\(708\) −1502.14 295.863i −0.0797371 0.0157051i
\(709\) 10569.7 + 6102.42i 0.559878 + 0.323246i 0.753096 0.657910i \(-0.228559\pi\)
−0.193219 + 0.981156i \(0.561893\pi\)
\(710\) −14813.4 8494.29i −0.783012 0.448993i
\(711\) −15228.7 + 2063.11i −0.803262 + 0.108822i
\(712\) 2303.07 + 2303.07i 0.121224 + 0.121224i
\(713\) −3893.82 + 1043.35i −0.204523 + 0.0548017i
\(714\) −11464.8 + 773.070i −0.600926 + 0.0405202i
\(715\) 65.7862 + 22264.4i 0.00344093 + 1.16454i
\(716\) 2202.08 1271.37i 0.114938 0.0663595i
\(717\) 1344.40 + 1174.54i 0.0700243 + 0.0611774i
\(718\) −4609.99 17204.7i −0.239615 0.894255i
\(719\) −12947.9 −0.671592 −0.335796 0.941935i \(-0.609005\pi\)
−0.335796 + 0.941935i \(0.609005\pi\)
\(720\) −1018.62 + 1346.11i −0.0527249 + 0.0696755i
\(721\) −37027.2 −1.91257
\(722\) −2808.48 10481.4i −0.144765 0.540272i
\(723\) 4577.92 23242.8i 0.235484 1.19559i
\(724\) 12059.6 6962.62i 0.619049 0.357408i
\(725\) −5773.97 3288.26i −0.295779 0.168445i
\(726\) 181.799 370.404i 0.00929367 0.0189352i
\(727\) 3951.09 1058.69i 0.201565 0.0540091i −0.156624 0.987658i \(-0.550061\pi\)
0.358189 + 0.933649i \(0.383394\pi\)
\(728\) 27197.3 + 27197.3i 1.38462 + 1.38462i
\(729\) −7736.76 18098.7i −0.393068 0.919509i
\(730\) 2561.42 + 9447.62i 0.129867 + 0.479003i
\(731\) −19978.4 11534.5i −1.01084 0.583611i
\(732\) 3303.69 + 9672.66i 0.166814 + 0.488404i
\(733\) −8630.30 2312.48i −0.434881 0.116526i 0.0347357 0.999397i \(-0.488941\pi\)
−0.469616 + 0.882871i \(0.655608\pi\)
\(734\) 1708.64 + 2959.46i 0.0859226 + 0.148822i
\(735\) 37596.9 2646.76i 1.88678 0.132826i
\(736\) −9761.80 + 16907.9i −0.488892 + 0.846786i
\(737\) 2905.60 2905.60i 0.145223 0.145223i
\(738\) 6504.12 + 831.445i 0.324417 + 0.0414714i
\(739\) 10810.9i 0.538140i 0.963121 + 0.269070i \(0.0867163\pi\)
−0.963121 + 0.269070i \(0.913284\pi\)
\(740\) 3136.82 + 5396.24i 0.155827 + 0.268067i
\(741\) 344.177 + 5104.25i 0.0170630 + 0.253049i
\(742\) 3262.93 12177.4i 0.161436 0.602489i
\(743\) 3801.46 14187.3i 0.187701 0.700511i −0.806335 0.591460i \(-0.798552\pi\)
0.994036 0.109052i \(-0.0347814\pi\)
\(744\) −293.394 4351.12i −0.0144575 0.214408i
\(745\) −4678.39 + 17668.6i −0.230071 + 0.868898i
\(746\) 13087.9i 0.642334i
\(747\) 7436.37 9767.00i 0.364234 0.478388i
\(748\) −5634.21 + 5634.21i −0.275411 + 0.275411i
\(749\) −18545.8 + 32122.2i −0.904737 + 1.56705i
\(750\) 11832.1 + 2221.70i 0.576064 + 0.108167i
\(751\) 10459.1 + 18115.7i 0.508201 + 0.880229i 0.999955 + 0.00949541i \(0.00302253\pi\)
−0.491754 + 0.870734i \(0.663644\pi\)
\(752\) 901.883 + 241.659i 0.0437344 + 0.0117186i
\(753\) 10357.4 + 30324.6i 0.501253 + 1.46758i
\(754\) 4242.88 + 2449.63i 0.204929 + 0.118316i
\(755\) 5156.86 1398.12i 0.248579 0.0673945i
\(756\) −4654.79 22731.2i −0.223933 1.09355i
\(757\) −18342.1 18342.1i −0.880653 0.880653i 0.112948 0.993601i \(-0.463971\pi\)
−0.993601 + 0.112948i \(0.963971\pi\)
\(758\) −12085.7 + 3238.37i −0.579121 + 0.155175i
\(759\) 8653.61 17631.2i 0.413842 0.843177i
\(760\) 4349.79 12.8526i 0.207610 0.000613438i
\(761\) 9287.39 5362.08i 0.442402 0.255421i −0.262214 0.965010i \(-0.584453\pi\)
0.704616 + 0.709589i \(0.251119\pi\)
\(762\) −2222.96 + 11286.3i −0.105681 + 0.536560i
\(763\) 4030.99 + 15043.9i 0.191260 + 0.713793i
\(764\) 4761.29 0.225468
\(765\) −10091.6 + 7851.70i −0.476944 + 0.371084i
\(766\) 9254.36 0.436519
\(767\) 807.283 + 3012.82i 0.0380043 + 0.141834i
\(768\) −14986.4 13093.0i −0.704132 0.615172i
\(769\) −19273.4 + 11127.5i −0.903793 + 0.521805i −0.878429 0.477873i \(-0.841408\pi\)
−0.0253640 + 0.999678i \(0.508074\pi\)