Properties

Label 76.6.f.a.27.12
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 27.12
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.29234 + 3.68454i) q^{2} +(-1.79179 + 3.10347i) q^{3} +(4.84840 - 31.6306i) q^{4} +(-10.1109 + 17.5126i) q^{5} +(-3.74388 - 19.9231i) q^{6} -149.904i q^{7} +(95.7329 + 153.633i) q^{8} +(115.079 + 199.323i) q^{9} +O(q^{10})\) \(q+(-4.29234 + 3.68454i) q^{2} +(-1.79179 + 3.10347i) q^{3} +(4.84840 - 31.6306i) q^{4} +(-10.1109 + 17.5126i) q^{5} +(-3.74388 - 19.9231i) q^{6} -149.904i q^{7} +(95.7329 + 153.633i) q^{8} +(115.079 + 199.323i) q^{9} +(-21.1264 - 112.424i) q^{10} +123.651i q^{11} +(89.4773 + 71.7223i) q^{12} +(412.543 - 238.182i) q^{13} +(552.327 + 643.439i) q^{14} +(-36.2334 - 62.7580i) q^{15} +(-976.986 - 306.715i) q^{16} +(-809.296 + 1401.74i) q^{17} +(-1228.37 - 431.548i) q^{18} +(1555.11 - 240.301i) q^{19} +(504.913 + 404.723i) q^{20} +(465.223 + 268.597i) q^{21} +(-455.596 - 530.752i) q^{22} +(-3750.75 + 2165.50i) q^{23} +(-648.331 + 21.8258i) q^{24} +(1358.04 + 2352.19i) q^{25} +(-893.186 + 2542.39i) q^{26} -1695.60 q^{27} +(-4741.55 - 726.795i) q^{28} +(-6567.24 + 3791.60i) q^{29} +(386.760 + 135.876i) q^{30} -3220.24 q^{31} +(5323.66 - 2283.21i) q^{32} +(-383.747 - 221.557i) q^{33} +(-1690.99 - 8998.63i) q^{34} +(2625.22 + 1515.67i) q^{35} +(6862.64 - 2673.62i) q^{36} +5803.44i q^{37} +(-5789.65 + 6761.30i) q^{38} +1707.09i q^{39} +(-3658.48 + 123.161i) q^{40} +(15899.2 + 9179.42i) q^{41} +(-2986.55 + 561.222i) q^{42} +(9282.28 + 5359.13i) q^{43} +(3911.15 + 599.509i) q^{44} -4654.22 q^{45} +(8120.66 - 23114.8i) q^{46} +(25805.1 - 14898.6i) q^{47} +(2702.44 - 2482.48i) q^{48} -5664.21 q^{49} +(-14495.9 - 5092.67i) q^{50} +(-2900.18 - 5023.26i) q^{51} +(-5533.65 - 14203.8i) q^{52} +(-24297.7 + 14028.3i) q^{53} +(7278.10 - 6247.50i) q^{54} +(-2165.45 - 1250.23i) q^{55} +(23030.3 - 14350.8i) q^{56} +(-2040.66 + 5256.80i) q^{57} +(14218.6 - 40472.0i) q^{58} +(-6492.30 + 11245.0i) q^{59} +(-2160.75 + 841.806i) q^{60} +(-609.418 - 1055.54i) q^{61} +(13822.4 - 11865.1i) q^{62} +(29879.3 - 17250.8i) q^{63} +(-14438.4 + 29415.5i) q^{64} +9632.96i q^{65} +(2463.51 - 462.934i) q^{66} +(10544.5 + 18263.6i) q^{67} +(40414.1 + 32394.7i) q^{68} -15520.5i q^{69} +(-16852.9 + 3166.93i) q^{70} +(5155.70 - 8929.93i) q^{71} +(-19605.8 + 36761.7i) q^{72} +(12347.0 - 21385.5i) q^{73} +(-21383.0 - 24910.4i) q^{74} -9733.29 q^{75} +(-61.0824 - 50354.0i) q^{76} +18535.8 q^{77} +(-6289.83 - 7327.41i) q^{78} +(-32058.3 + 55526.5i) q^{79} +(15249.6 - 14008.4i) q^{80} +(-24926.0 + 43173.1i) q^{81} +(-102067. + 19180.0i) q^{82} +6233.61i q^{83} +(10751.5 - 13413.0i) q^{84} +(-16365.5 - 28345.8i) q^{85} +(-59588.6 + 11197.7i) q^{86} -27175.0i q^{87} +(-18996.9 + 11837.5i) q^{88} +(37595.9 - 21706.0i) q^{89} +(19977.5 - 17148.6i) q^{90} +(-35704.4 - 61841.8i) q^{91} +(50310.8 + 129138. i) q^{92} +(5770.00 - 9993.93i) q^{93} +(-55869.9 + 159029. i) q^{94} +(-11515.3 + 29663.7i) q^{95} +(-2453.01 + 20612.9i) q^{96} +(1954.96 + 1128.70i) q^{97} +(24312.7 - 20870.0i) q^{98} +(-24646.4 + 14229.6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.29234 + 3.68454i −0.758786 + 0.651340i
\(3\) −1.79179 + 3.10347i −0.114943 + 0.199088i −0.917757 0.397142i \(-0.870002\pi\)
0.802814 + 0.596230i \(0.203335\pi\)
\(4\) 4.84840 31.6306i 0.151513 0.988455i
\(5\) −10.1109 + 17.5126i −0.180870 + 0.313276i −0.942177 0.335116i \(-0.891225\pi\)
0.761307 + 0.648391i \(0.224558\pi\)
\(6\) −3.74388 19.9231i −0.0424564 0.225932i
\(7\) 149.904i 1.15629i −0.815933 0.578147i \(-0.803776\pi\)
0.815933 0.578147i \(-0.196224\pi\)
\(8\) 95.7329 + 153.633i 0.528855 + 0.848712i
\(9\) 115.079 + 199.323i 0.473576 + 0.820258i
\(10\) −21.1264 112.424i −0.0668075 0.355517i
\(11\) 123.651i 0.308117i 0.988062 + 0.154058i \(0.0492344\pi\)
−0.988062 + 0.154058i \(0.950766\pi\)
\(12\) 89.4773 + 71.7223i 0.179374 + 0.143781i
\(13\) 412.543 238.182i 0.677035 0.390886i −0.121702 0.992567i \(-0.538835\pi\)
0.798737 + 0.601681i \(0.205502\pi\)
\(14\) 552.327 + 643.439i 0.753140 + 0.877379i
\(15\) −36.2334 62.7580i −0.0415796 0.0720180i
\(16\) −976.986 306.715i −0.954088 0.299527i
\(17\) −809.296 + 1401.74i −0.679180 + 1.17637i 0.296048 + 0.955173i \(0.404331\pi\)
−0.975228 + 0.221201i \(0.929002\pi\)
\(18\) −1228.37 431.548i −0.893609 0.313941i
\(19\) 1555.11 240.301i 0.988271 0.152712i
\(20\) 504.913 + 404.723i 0.282255 + 0.226247i
\(21\) 465.223 + 268.597i 0.230204 + 0.132908i
\(22\) −455.596 530.752i −0.200689 0.233795i
\(23\) −3750.75 + 2165.50i −1.47842 + 0.853568i −0.999702 0.0243993i \(-0.992233\pi\)
−0.478721 + 0.877967i \(0.658899\pi\)
\(24\) −648.331 + 21.8258i −0.229757 + 0.00773467i
\(25\) 1358.04 + 2352.19i 0.434572 + 0.752701i
\(26\) −893.186 + 2542.39i −0.259125 + 0.737579i
\(27\) −1695.60 −0.447625
\(28\) −4741.55 726.795i −1.14294 0.175193i
\(29\) −6567.24 + 3791.60i −1.45007 + 0.837196i −0.998484 0.0550339i \(-0.982473\pi\)
−0.451581 + 0.892230i \(0.649140\pi\)
\(30\) 386.760 + 135.876i 0.0784582 + 0.0275638i
\(31\) −3220.24 −0.601844 −0.300922 0.953649i \(-0.597294\pi\)
−0.300922 + 0.953649i \(0.597294\pi\)
\(32\) 5323.66 2283.21i 0.919042 0.394159i
\(33\) −383.747 221.557i −0.0613424 0.0354160i
\(34\) −1690.99 8998.63i −0.250867 1.33499i
\(35\) 2625.22 + 1515.67i 0.362239 + 0.209139i
\(36\) 6862.64 2673.62i 0.882541 0.343829i
\(37\) 5803.44i 0.696918i 0.937324 + 0.348459i \(0.113295\pi\)
−0.937324 + 0.348459i \(0.886705\pi\)
\(38\) −5789.65 + 6761.30i −0.650419 + 0.759576i
\(39\) 1707.09i 0.179719i
\(40\) −3658.48 + 123.161i −0.361535 + 0.0121709i
\(41\) 15899.2 + 9179.42i 1.47712 + 0.852816i 0.999666 0.0258403i \(-0.00822615\pi\)
0.477455 + 0.878656i \(0.341559\pi\)
\(42\) −2986.55 + 561.222i −0.261244 + 0.0490921i
\(43\) 9282.28 + 5359.13i 0.765568 + 0.442001i 0.831291 0.555837i \(-0.187602\pi\)
−0.0657235 + 0.997838i \(0.520936\pi\)
\(44\) 3911.15 + 599.509i 0.304560 + 0.0466836i
\(45\) −4654.22 −0.342622
\(46\) 8120.66 23114.8i 0.565844 1.61063i
\(47\) 25805.1 14898.6i 1.70396 0.983784i 0.762304 0.647219i \(-0.224068\pi\)
0.941660 0.336565i \(-0.109265\pi\)
\(48\) 2702.44 2482.48i 0.169298 0.155519i
\(49\) −5664.21 −0.337015
\(50\) −14495.9 5092.67i −0.820012 0.288085i
\(51\) −2900.18 5023.26i −0.156135 0.270433i
\(52\) −5533.65 14203.8i −0.283794 0.728443i
\(53\) −24297.7 + 14028.3i −1.18816 + 0.685984i −0.957888 0.287143i \(-0.907295\pi\)
−0.230271 + 0.973126i \(0.573961\pi\)
\(54\) 7278.10 6247.50i 0.339652 0.291556i
\(55\) −2165.45 1250.23i −0.0965255 0.0557290i
\(56\) 23030.3 14350.8i 0.981361 0.611511i
\(57\) −2040.66 + 5256.80i −0.0831923 + 0.214306i
\(58\) 14218.6 40472.0i 0.554991 1.57974i
\(59\) −6492.30 + 11245.0i −0.242811 + 0.420561i −0.961514 0.274756i \(-0.911403\pi\)
0.718703 + 0.695317i \(0.244736\pi\)
\(60\) −2160.75 + 841.806i −0.0774864 + 0.0301880i
\(61\) −609.418 1055.54i −0.0209696 0.0363204i 0.855350 0.518050i \(-0.173342\pi\)
−0.876320 + 0.481730i \(0.840009\pi\)
\(62\) 13822.4 11865.1i 0.456671 0.392005i
\(63\) 29879.3 17250.8i 0.948459 0.547593i
\(64\) −14438.4 + 29415.5i −0.440625 + 0.897691i
\(65\) 9632.96i 0.282798i
\(66\) 2463.51 462.934i 0.0696136 0.0130815i
\(67\) 10544.5 + 18263.6i 0.286972 + 0.497050i 0.973086 0.230444i \(-0.0740179\pi\)
−0.686113 + 0.727495i \(0.740685\pi\)
\(68\) 40414.1 + 32394.7i 1.05989 + 0.849575i
\(69\) 15520.5i 0.392448i
\(70\) −16852.9 + 3166.93i −0.411082 + 0.0772491i
\(71\) 5155.70 8929.93i 0.121378 0.210234i −0.798933 0.601420i \(-0.794602\pi\)
0.920311 + 0.391186i \(0.127935\pi\)
\(72\) −19605.8 + 36761.7i −0.445710 + 0.835727i
\(73\) 12347.0 21385.5i 0.271177 0.469692i −0.697987 0.716111i \(-0.745921\pi\)
0.969163 + 0.246419i \(0.0792539\pi\)
\(74\) −21383.0 24910.4i −0.453930 0.528811i
\(75\) −9733.29 −0.199805
\(76\) −61.0824 50354.0i −0.00121306 0.999999i
\(77\) 18535.8 0.356273
\(78\) −6289.83 7327.41i −0.117058 0.136368i
\(79\) −32058.3 + 55526.5i −0.577926 + 1.00100i 0.417791 + 0.908543i \(0.362804\pi\)
−0.995717 + 0.0924540i \(0.970529\pi\)
\(80\) 15249.6 14008.4i 0.266400 0.244717i
\(81\) −24926.0 + 43173.1i −0.422124 + 0.731141i
\(82\) −102067. + 19180.0i −1.67629 + 0.315003i
\(83\) 6233.61i 0.0993217i 0.998766 + 0.0496608i \(0.0158140\pi\)
−0.998766 + 0.0496608i \(0.984186\pi\)
\(84\) 10751.5 13413.0i 0.166253 0.207409i
\(85\) −16365.5 28345.8i −0.245686 0.425541i
\(86\) −59588.6 + 11197.7i −0.868795 + 0.163261i
\(87\) 27175.0i 0.384921i
\(88\) −18996.9 + 11837.5i −0.261503 + 0.162949i
\(89\) 37595.9 21706.0i 0.503113 0.290472i −0.226885 0.973922i \(-0.572854\pi\)
0.729998 + 0.683449i \(0.239521\pi\)
\(90\) 19977.5 17148.6i 0.259977 0.223164i
\(91\) −35704.4 61841.8i −0.451979 0.782851i
\(92\) 50310.8 + 129138.i 0.619714 + 1.59068i
\(93\) 5770.00 9993.93i 0.0691781 0.119820i
\(94\) −55869.9 + 159029.i −0.652166 + 1.85634i
\(95\) −11515.3 + 29663.7i −0.130908 + 0.337222i
\(96\) −2453.01 + 20612.9i −0.0271657 + 0.228276i
\(97\) 1954.96 + 1128.70i 0.0210965 + 0.0121800i 0.510511 0.859871i \(-0.329456\pi\)
−0.489415 + 0.872051i \(0.662790\pi\)
\(98\) 24312.7 20870.0i 0.255722 0.219511i
\(99\) −24646.4 + 14229.6i −0.252735 + 0.145917i
\(100\) 80985.5 31551.2i 0.809855 0.315512i
\(101\) −6657.10 11530.4i −0.0649354 0.112471i 0.831730 0.555180i \(-0.187351\pi\)
−0.896665 + 0.442709i \(0.854017\pi\)
\(102\) 30956.9 + 10875.7i 0.294617 + 0.103504i
\(103\) −73259.5 −0.680411 −0.340205 0.940351i \(-0.610497\pi\)
−0.340205 + 0.940351i \(0.610497\pi\)
\(104\) 76086.6 + 40578.5i 0.689803 + 0.367886i
\(105\) −9407.68 + 5431.53i −0.0832740 + 0.0480782i
\(106\) 52606.2 149740.i 0.454750 1.29441i
\(107\) −133139. −1.12420 −0.562101 0.827068i \(-0.690007\pi\)
−0.562101 + 0.827068i \(0.690007\pi\)
\(108\) −8220.96 + 53632.8i −0.0678208 + 0.442457i
\(109\) 76197.8 + 43992.8i 0.614294 + 0.354663i 0.774644 0.632397i \(-0.217929\pi\)
−0.160350 + 0.987060i \(0.551262\pi\)
\(110\) 13901.4 2612.30i 0.109541 0.0205845i
\(111\) −18010.8 10398.6i −0.138748 0.0801061i
\(112\) −45977.9 + 146454.i −0.346341 + 1.10321i
\(113\) 191475.i 1.41064i −0.708891 0.705318i \(-0.750804\pi\)
0.708891 0.705318i \(-0.249196\pi\)
\(114\) −10609.7 30082.9i −0.0764609 0.216799i
\(115\) 87580.8i 0.617539i
\(116\) 88089.8 + 226109.i 0.607828 + 1.56017i
\(117\) 94950.0 + 54819.4i 0.641255 + 0.370229i
\(118\) −13565.4 72188.5i −0.0896866 0.477269i
\(119\) 210127. + 121317.i 1.36023 + 0.785332i
\(120\) 6173.00 11574.7i 0.0391330 0.0733762i
\(121\) 145761. 0.905064
\(122\) 6505.01 + 2285.33i 0.0395684 + 0.0139011i
\(123\) −56976.2 + 32895.2i −0.339571 + 0.196051i
\(124\) −15613.0 + 101858.i −0.0911869 + 0.594896i
\(125\) −118117. −0.676144
\(126\) −64690.8 + 184137.i −0.363008 + 1.03327i
\(127\) −151871. 263049.i −0.835538 1.44719i −0.893592 0.448881i \(-0.851823\pi\)
0.0580538 0.998313i \(-0.481511\pi\)
\(128\) −46408.0 179460.i −0.250362 0.968152i
\(129\) −33263.8 + 19204.9i −0.175994 + 0.101610i
\(130\) −35493.0 41348.0i −0.184198 0.214583i
\(131\) 288147. + 166362.i 1.46702 + 0.846983i 0.999319 0.0369043i \(-0.0117497\pi\)
0.467699 + 0.883888i \(0.345083\pi\)
\(132\) −8868.52 + 11063.9i −0.0443013 + 0.0552682i
\(133\) −36022.1 233117.i −0.176579 1.14273i
\(134\) −112554. 39542.2i −0.541499 0.190238i
\(135\) 17144.1 29694.5i 0.0809618 0.140230i
\(136\) −292830. + 9858.02i −1.35759 + 0.0457028i
\(137\) −165618. 286859.i −0.753887 1.30577i −0.945926 0.324383i \(-0.894843\pi\)
0.192039 0.981387i \(-0.438490\pi\)
\(138\) 57185.8 + 66619.2i 0.255617 + 0.297784i
\(139\) −150026. + 86617.3i −0.658610 + 0.380249i −0.791747 0.610849i \(-0.790828\pi\)
0.133137 + 0.991098i \(0.457495\pi\)
\(140\) 60669.6 75688.5i 0.261608 0.326370i
\(141\) 106781.i 0.452318i
\(142\) 10772.6 + 57326.6i 0.0448333 + 0.238581i
\(143\) 29451.4 + 51011.3i 0.120439 + 0.208606i
\(144\) −51295.2 230032.i −0.206144 0.924447i
\(145\) 153346.i 0.605694i
\(146\) 25798.5 + 137287.i 0.100164 + 0.533024i
\(147\) 10149.1 17578.7i 0.0387376 0.0670956i
\(148\) 183566. + 28137.4i 0.688872 + 0.105592i
\(149\) 164442. 284822.i 0.606802 1.05101i −0.384962 0.922933i \(-0.625785\pi\)
0.991764 0.128080i \(-0.0408813\pi\)
\(150\) 41778.6 35862.6i 0.151609 0.130141i
\(151\) −14878.6 −0.0531030 −0.0265515 0.999647i \(-0.508453\pi\)
−0.0265515 + 0.999647i \(0.508453\pi\)
\(152\) 185793. + 215911.i 0.652260 + 0.757995i
\(153\) −372532. −1.28657
\(154\) −79561.8 + 68295.6i −0.270335 + 0.232055i
\(155\) 32559.6 56394.9i 0.108855 0.188543i
\(156\) 53996.2 + 8276.65i 0.177644 + 0.0272297i
\(157\) 18915.1 32762.0i 0.0612435 0.106077i −0.833778 0.552100i \(-0.813827\pi\)
0.895022 + 0.446023i \(0.147160\pi\)
\(158\) −66984.5 356459.i −0.213467 1.13597i
\(159\) 100543.i 0.315398i
\(160\) −13842.1 + 116317.i −0.0427467 + 0.359205i
\(161\) 324617. + 562253.i 0.986975 + 1.70949i
\(162\) −52081.9 277155.i −0.155919 0.829726i
\(163\) 74572.9i 0.219843i −0.993940 0.109921i \(-0.964940\pi\)
0.993940 0.109921i \(-0.0350599\pi\)
\(164\) 367436. 458396.i 1.06677 1.33086i
\(165\) 7760.08 4480.29i 0.0221900 0.0128114i
\(166\) −22967.9 26756.8i −0.0646922 0.0753639i
\(167\) −9554.43 16548.8i −0.0265102 0.0459171i 0.852466 0.522783i \(-0.175106\pi\)
−0.878976 + 0.476866i \(0.841773\pi\)
\(168\) 3271.77 + 97187.3i 0.00894355 + 0.265666i
\(169\) −72185.3 + 125029.i −0.194416 + 0.336739i
\(170\) 174687. + 61370.8i 0.463595 + 0.162869i
\(171\) 226857. + 282314.i 0.593284 + 0.738316i
\(172\) 214517. 267621.i 0.552891 0.689761i
\(173\) 374995. + 216503.i 0.952599 + 0.549983i 0.893887 0.448291i \(-0.147967\pi\)
0.0587119 + 0.998275i \(0.481301\pi\)
\(174\) 100127. + 116644.i 0.250714 + 0.292073i
\(175\) 352603. 203575.i 0.870343 0.502493i
\(176\) 37925.6 120805.i 0.0922893 0.293971i
\(177\) −23265.7 40297.4i −0.0558191 0.0966816i
\(178\) −81397.9 + 231693.i −0.192559 + 0.548104i
\(179\) 177979. 0.415180 0.207590 0.978216i \(-0.433438\pi\)
0.207590 + 0.978216i \(0.433438\pi\)
\(180\) −22565.5 + 147216.i −0.0519116 + 0.338667i
\(181\) −608971. + 351590.i −1.38166 + 0.797700i −0.992356 0.123410i \(-0.960617\pi\)
−0.389302 + 0.921110i \(0.627284\pi\)
\(182\) 381114. + 133892.i 0.852857 + 0.299624i
\(183\) 4367.80 0.00964128
\(184\) −691763. 368931.i −1.50630 0.803342i
\(185\) −101634. 58678.2i −0.218327 0.126051i
\(186\) 12056.2 + 64157.1i 0.0255521 + 0.135976i
\(187\) −173327. 100070.i −0.362461 0.209267i
\(188\) −346137. 888464.i −0.714255 1.83335i
\(189\) 254177.i 0.517586i
\(190\) −59869.5 169755.i −0.120315 0.341145i
\(191\) 216981.i 0.430366i −0.976574 0.215183i \(-0.930965\pi\)
0.976574 0.215183i \(-0.0690347\pi\)
\(192\) −65419.8 97515.7i −0.128073 0.190907i
\(193\) 617974. + 356788.i 1.19420 + 0.689472i 0.959256 0.282537i \(-0.0911760\pi\)
0.234944 + 0.972009i \(0.424509\pi\)
\(194\) −12550.1 + 2358.37i −0.0239411 + 0.00449892i
\(195\) −29895.6 17260.3i −0.0563017 0.0325058i
\(196\) −27462.3 + 179162.i −0.0510620 + 0.333124i
\(197\) −384666. −0.706185 −0.353092 0.935588i \(-0.614870\pi\)
−0.353092 + 0.935588i \(0.614870\pi\)
\(198\) 53361.3 151889.i 0.0967305 0.275336i
\(199\) −38418.1 + 22180.7i −0.0687707 + 0.0397048i −0.533991 0.845490i \(-0.679308\pi\)
0.465220 + 0.885195i \(0.345975\pi\)
\(200\) −231366. + 433822.i −0.409001 + 0.766896i
\(201\) −75574.3 −0.131942
\(202\) 71058.8 + 24964.2i 0.122529 + 0.0430467i
\(203\) 568375. + 984455.i 0.968044 + 1.67670i
\(204\) −172950. + 67379.5i −0.290967 + 0.113358i
\(205\) −321512. + 185625.i −0.534333 + 0.308497i
\(206\) 314455. 269927.i 0.516286 0.443179i
\(207\) −863265. 498406.i −1.40029 0.808459i
\(208\) −476103. + 106167.i −0.763031 + 0.170150i
\(209\) 29713.4 + 192290.i 0.0470530 + 0.304503i
\(210\) 20368.3 57976.9i 0.0318718 0.0907208i
\(211\) −237904. + 412062.i −0.367872 + 0.637172i −0.989233 0.146352i \(-0.953247\pi\)
0.621361 + 0.783524i \(0.286580\pi\)
\(212\) 325917. + 836563.i 0.498043 + 1.27838i
\(213\) 18475.9 + 32001.1i 0.0279033 + 0.0483300i
\(214\) 571476. 490554.i 0.853029 0.732238i
\(215\) −187705. + 108372.i −0.276936 + 0.159889i
\(216\) −162325. 260501.i −0.236729 0.379905i
\(217\) 482727.i 0.695908i
\(218\) −489160. + 91921.2i −0.697124 + 0.131001i
\(219\) 44246.3 + 76636.9i 0.0623400 + 0.107976i
\(220\) −50044.3 + 62432.9i −0.0697105 + 0.0869675i
\(221\) 771038.i 1.06193i
\(222\) 115623. 21727.4i 0.157456 0.0295886i
\(223\) 242539. 420090.i 0.326603 0.565693i −0.655233 0.755427i \(-0.727429\pi\)
0.981835 + 0.189734i \(0.0607627\pi\)
\(224\) −342263. 798038.i −0.455763 1.06268i
\(225\) −312563. + 541375.i −0.411606 + 0.712922i
\(226\) 705495. + 821874.i 0.918803 + 1.07037i
\(227\) −1.11945e6 −1.44191 −0.720957 0.692980i \(-0.756298\pi\)
−0.720957 + 0.692980i \(0.756298\pi\)
\(228\) 156382. + 90034.2i 0.199227 + 0.114702i
\(229\) 650831. 0.820124 0.410062 0.912058i \(-0.365507\pi\)
0.410062 + 0.912058i \(0.365507\pi\)
\(230\) 322694. + 375927.i 0.402228 + 0.468580i
\(231\) −33212.2 + 57525.2i −0.0409513 + 0.0709298i
\(232\) −1.21122e6 645966.i −1.47741 0.787934i
\(233\) 502264. 869948.i 0.606098 1.04979i −0.385779 0.922591i \(-0.626067\pi\)
0.991877 0.127201i \(-0.0405993\pi\)
\(234\) −609542. + 114543.i −0.727720 + 0.136751i
\(235\) 602553.i 0.711747i
\(236\) 324208. + 259875.i 0.378917 + 0.303728i
\(237\) −114883. 198984.i −0.132858 0.230116i
\(238\) −1.34893e6 + 253486.i −1.54364 + 0.290076i
\(239\) 325514.i 0.368617i 0.982868 + 0.184308i \(0.0590045\pi\)
−0.982868 + 0.184308i \(0.940995\pi\)
\(240\) 16150.6 + 72427.0i 0.0180993 + 0.0811657i
\(241\) 94346.7 54471.1i 0.104637 0.0604120i −0.446768 0.894650i \(-0.647425\pi\)
0.551405 + 0.834238i \(0.314092\pi\)
\(242\) −625658. + 537063.i −0.686750 + 0.589504i
\(243\) −295340. 511544.i −0.320853 0.555734i
\(244\) −36342.1 + 14158.5i −0.0390783 + 0.0152245i
\(245\) 57270.4 99195.2i 0.0609558 0.105579i
\(246\) 123358. 351128.i 0.129966 0.369937i
\(247\) 584313. 469533.i 0.609401 0.489692i
\(248\) −308283. 494736.i −0.318288 0.510792i
\(249\) −19345.8 11169.3i −0.0197738 0.0114164i
\(250\) 507000. 435208.i 0.513048 0.440399i
\(251\) 669141. 386329.i 0.670399 0.387055i −0.125829 0.992052i \(-0.540159\pi\)
0.796228 + 0.604997i \(0.206826\pi\)
\(252\) −400786. 1.02874e6i −0.397568 1.02048i
\(253\) −267766. 463784.i −0.262999 0.455527i
\(254\) 1.62110e6 + 569520.i 1.57661 + 0.553892i
\(255\) 117294. 0.112960
\(256\) 860427. + 599313.i 0.820567 + 0.571550i
\(257\) −528430. + 305089.i −0.499062 + 0.288134i −0.728326 0.685231i \(-0.759701\pi\)
0.229264 + 0.973364i \(0.426368\pi\)
\(258\) 72018.7 204996.i 0.0673590 0.191732i
\(259\) 869959. 0.805841
\(260\) 304696. + 46704.5i 0.279533 + 0.0428474i
\(261\) −1.51150e6 872666.i −1.37343 0.792952i
\(262\) −1.84979e6 + 347606.i −1.66483 + 0.312848i
\(263\) 1.02428e6 + 591371.i 0.913127 + 0.527194i 0.881436 0.472304i \(-0.156577\pi\)
0.0316910 + 0.999498i \(0.489911\pi\)
\(264\) −2698.78 80166.6i −0.00238318 0.0707919i
\(265\) 567355.i 0.496295i
\(266\) 1.01355e6 + 867891.i 0.878292 + 0.752075i
\(267\) 155571.i 0.133552i
\(268\) 628813. 244980.i 0.534792 0.208350i
\(269\) −327171. 188892.i −0.275673 0.159160i 0.355790 0.934566i \(-0.384212\pi\)
−0.631463 + 0.775406i \(0.717545\pi\)
\(270\) 35821.9 + 190627.i 0.0299047 + 0.159138i
\(271\) 548150. + 316475.i 0.453395 + 0.261767i 0.709263 0.704944i \(-0.249028\pi\)
−0.255868 + 0.966712i \(0.582361\pi\)
\(272\) 1.22061e6 1.12126e6i 1.00035 0.918932i
\(273\) 255899. 0.207808
\(274\) 1.76783e6 + 621071.i 1.42254 + 0.499764i
\(275\) −290850. + 167923.i −0.231920 + 0.133899i
\(276\) −490922. 75249.5i −0.387918 0.0594609i
\(277\) 2.48792e6 1.94821 0.974106 0.226090i \(-0.0725943\pi\)
0.974106 + 0.226090i \(0.0725943\pi\)
\(278\) 324817. 924566.i 0.252073 0.717506i
\(279\) −370582. 641867.i −0.285019 0.493667i
\(280\) 18462.3 + 548420.i 0.0140732 + 0.418040i
\(281\) 546720. 315649.i 0.413046 0.238472i −0.279051 0.960276i \(-0.590020\pi\)
0.692098 + 0.721804i \(0.256687\pi\)
\(282\) −393437. 458339.i −0.294613 0.343213i
\(283\) −1.62945e6 940764.i −1.20941 0.698256i −0.246783 0.969071i \(-0.579374\pi\)
−0.962632 + 0.270815i \(0.912707\pi\)
\(284\) −257462. 206373.i −0.189416 0.151830i
\(285\) −71427.5 88888.5i −0.0520899 0.0648236i
\(286\) −314368. 110443.i −0.227260 0.0798407i
\(287\) 1.37603e6 2.38336e6i 0.986106 1.70799i
\(288\) 1.06774e6 + 798377.i 0.758548 + 0.567187i
\(289\) −599991. 1.03921e6i −0.422571 0.731915i
\(290\) 565010. + 658215.i 0.394513 + 0.459592i
\(291\) −7005.78 + 4044.79i −0.00484980 + 0.00280003i
\(292\) −616574. 494227.i −0.423183 0.339210i
\(293\) 1.30439e6i 0.887645i −0.896115 0.443822i \(-0.853622\pi\)
0.896115 0.443822i \(-0.146378\pi\)
\(294\) 21206.1 + 112849.i 0.0143084 + 0.0761426i
\(295\) −131286. 227395.i −0.0878344 0.152134i
\(296\) −891602. + 555581.i −0.591483 + 0.368568i
\(297\) 209663.i 0.137921i
\(298\) 343595. + 1.82845e6i 0.224133 + 1.19273i
\(299\) −1.03156e6 + 1.78672e6i −0.667296 + 1.15579i
\(300\) −47190.9 + 307869.i −0.0302730 + 0.197498i
\(301\) 803355. 1.39145e6i 0.511083 0.885221i
\(302\) 63864.0 54820.7i 0.0402938 0.0345881i
\(303\) 47712.5 0.0298556
\(304\) −1.59302e6 242204.i −0.988638 0.150313i
\(305\) 24647.1 0.0151711
\(306\) 1.59903e6 1.37261e6i 0.976234 0.837997i
\(307\) −681232. + 1.17993e6i −0.412524 + 0.714512i −0.995165 0.0982174i \(-0.968686\pi\)
0.582641 + 0.812729i \(0.302019\pi\)
\(308\) 89868.8 586297.i 0.0539799 0.352160i
\(309\) 131266. 227359.i 0.0782088 0.135462i
\(310\) 68032.0 + 362033.i 0.0402077 + 0.213966i
\(311\) 1.22369e6i 0.717417i −0.933450 0.358709i \(-0.883217\pi\)
0.933450 0.358709i \(-0.116783\pi\)
\(312\) −262266. + 163425.i −0.152530 + 0.0950454i
\(313\) 862358. + 1.49365e6i 0.497538 + 0.861762i 0.999996 0.00284010i \(-0.000904034\pi\)
−0.502458 + 0.864602i \(0.667571\pi\)
\(314\) 39522.4 + 210319.i 0.0226214 + 0.120380i
\(315\) 697686.i 0.396172i
\(316\) 1.60090e6 + 1.28324e6i 0.901878 + 0.722918i
\(317\) −628322. + 362762.i −0.351184 + 0.202756i −0.665207 0.746659i \(-0.731657\pi\)
0.314023 + 0.949415i \(0.398323\pi\)
\(318\) 370454. + 431564.i 0.205431 + 0.239319i
\(319\) −468834. 812045.i −0.257954 0.446790i
\(320\) −369158. 550273.i −0.201529 0.300402i
\(321\) 238557. 413192.i 0.129220 0.223815i
\(322\) −3.46501e6 1.21732e6i −1.86236 0.654282i
\(323\) −921701. + 2.37433e6i −0.491568 + 1.26630i
\(324\) 1.24474e6 + 997745.i 0.658743 + 0.528028i
\(325\) 1.12050e6 + 646920.i 0.588441 + 0.339736i
\(326\) 274766. + 320092.i 0.143192 + 0.166814i
\(327\) −273061. + 157652.i −0.141218 + 0.0815323i
\(328\) 111814. + 3.32142e6i 0.0573869 + 1.70467i
\(329\) −2.23335e6 3.86828e6i −1.13754 1.97028i
\(330\) −16801.2 + 47823.2i −0.00849287 + 0.0241743i
\(331\) 1.14568e6 0.574768 0.287384 0.957815i \(-0.407214\pi\)
0.287384 + 0.957815i \(0.407214\pi\)
\(332\) 197172. + 30223.0i 0.0981750 + 0.0150485i
\(333\) −1.15676e6 + 667854.i −0.571652 + 0.330043i
\(334\) 101985. + 35829.3i 0.0500232 + 0.0175741i
\(335\) −426460. −0.207618
\(336\) −372134. 405106.i −0.179825 0.195759i
\(337\) −1.49185e6 861321.i −0.715568 0.413134i 0.0975510 0.995231i \(-0.468899\pi\)
−0.813119 + 0.582097i \(0.802232\pi\)
\(338\) −150828. 802635.i −0.0718111 0.382144i
\(339\) 594236. + 343082.i 0.280841 + 0.162143i
\(340\) −975941. + 380217.i −0.457853 + 0.178375i
\(341\) 398185.i 0.185438i
\(342\) −2.01395e6 375925.i −0.931071 0.173794i
\(343\) 1.67035e6i 0.766606i
\(344\) 65279.5 + 1.93911e6i 0.0297427 + 0.883501i
\(345\) 271805. + 156926.i 0.122945 + 0.0709821i
\(346\) −2.40732e6 + 452375.i −1.08105 + 0.203146i
\(347\) −1.56460e6 903325.i −0.697559 0.402736i 0.108879 0.994055i \(-0.465274\pi\)
−0.806438 + 0.591319i \(0.798607\pi\)
\(348\) −859561. 131755.i −0.380477 0.0583204i
\(349\) 2.20155e6 0.967529 0.483765 0.875198i \(-0.339269\pi\)
0.483765 + 0.875198i \(0.339269\pi\)
\(350\) −763412. + 2.17299e6i −0.333111 + 0.948174i
\(351\) −699508. + 403861.i −0.303058 + 0.174970i
\(352\) 282321. + 658275.i 0.121447 + 0.283172i
\(353\) −282616. −0.120715 −0.0603574 0.998177i \(-0.519224\pi\)
−0.0603574 + 0.998177i \(0.519224\pi\)
\(354\) 248341. + 87246.8i 0.105327 + 0.0370034i
\(355\) 104258. + 180580.i 0.0439074 + 0.0760498i
\(356\) −504293. 1.29442e6i −0.210891 0.541315i
\(357\) −753006. + 434748.i −0.312700 + 0.180538i
\(358\) −763947. + 655770.i −0.315033 + 0.270423i
\(359\) −350723. 202490.i −0.143624 0.0829215i 0.426466 0.904504i \(-0.359758\pi\)
−0.570090 + 0.821582i \(0.693092\pi\)
\(360\) −445562. 715044.i −0.181198 0.290788i
\(361\) 2.36061e6 747387.i 0.953358 0.301841i
\(362\) 1.31847e6 3.75292e6i 0.528808 1.50521i
\(363\) −261174. + 452367.i −0.104031 + 0.180187i
\(364\) −2.12920e6 + 829517.i −0.842293 + 0.328149i
\(365\) 249678. + 432455.i 0.0980954 + 0.169906i
\(366\) −18748.1 + 16093.3i −0.00731567 + 0.00627975i
\(367\) −2.02118e6 + 1.16693e6i −0.783320 + 0.452250i −0.837606 0.546275i \(-0.816045\pi\)
0.0542855 + 0.998525i \(0.482712\pi\)
\(368\) 4.32862e6 965247.i 1.66621 0.371551i
\(369\) 4.22543e6i 1.61549i
\(370\) 652448. 122606.i 0.247766 0.0465593i
\(371\) 2.10289e6 + 3.64231e6i 0.793199 + 1.37386i
\(372\) −288138. 230963.i −0.107955 0.0865336i
\(373\) 3.44838e6i 1.28334i 0.766980 + 0.641671i \(0.221759\pi\)
−0.766980 + 0.641671i \(0.778241\pi\)
\(374\) 1.11269e6 209092.i 0.411334 0.0772964i
\(375\) 211642. 366574.i 0.0777183 0.134612i
\(376\) 4.75931e6 + 2.53824e6i 1.73610 + 0.925896i
\(377\) −1.80618e6 + 3.12839e6i −0.654497 + 1.13362i
\(378\) −936525. 1.09102e6i −0.337124 0.392737i
\(379\) −92293.3 −0.0330044 −0.0165022 0.999864i \(-0.505253\pi\)
−0.0165022 + 0.999864i \(0.505253\pi\)
\(380\) 882449. + 508056.i 0.313495 + 0.180490i
\(381\) 1.08849e6 0.384159
\(382\) 799473. + 931355.i 0.280314 + 0.326555i
\(383\) 1.74377e6 3.02030e6i 0.607424 1.05209i −0.384239 0.923233i \(-0.625536\pi\)
0.991663 0.128856i \(-0.0411304\pi\)
\(384\) 640104. + 177530.i 0.221525 + 0.0614388i
\(385\) −187414. + 324610.i −0.0644391 + 0.111612i
\(386\) −3.96715e6 + 745493.i −1.35522 + 0.254669i
\(387\) 2.46689e6i 0.837284i
\(388\) 45179.9 56364.3i 0.0152358 0.0190075i
\(389\) 792490. + 1.37263e6i 0.265534 + 0.459918i 0.967703 0.252092i \(-0.0811185\pi\)
−0.702170 + 0.712010i \(0.747785\pi\)
\(390\) 191918. 36064.6i 0.0638932 0.0120066i
\(391\) 7.01011e6i 2.31891i
\(392\) −542251. 870211.i −0.178232 0.286029i
\(393\) −1.03260e6 + 596171.i −0.337248 + 0.194710i
\(394\) 1.65112e6 1.41732e6i 0.535843 0.459966i
\(395\) −648278. 1.12285e6i −0.209059 0.362100i
\(396\) 330595. + 848571.i 0.105940 + 0.271926i
\(397\) 1.46913e6 2.54461e6i 0.467826 0.810299i −0.531498 0.847060i \(-0.678371\pi\)
0.999324 + 0.0367608i \(0.0117040\pi\)
\(398\) 83178.1 236760.i 0.0263209 0.0749206i
\(399\) 788015. + 305903.i 0.247801 + 0.0961947i
\(400\) −605331. 2.71459e6i −0.189166 0.848309i
\(401\) 1.44271e6 + 832946.i 0.448040 + 0.258676i 0.707002 0.707212i \(-0.250047\pi\)
−0.258962 + 0.965887i \(0.583381\pi\)
\(402\) 324391. 278456.i 0.100116 0.0859393i
\(403\) −1.32849e6 + 767003.i −0.407469 + 0.235252i
\(404\) −396990. + 154664.i −0.121011 + 0.0471449i
\(405\) −504051. 873041.i −0.152699 0.264483i
\(406\) −6.06692e6 2.13142e6i −1.82664 0.641732i
\(407\) −717601. −0.214732
\(408\) 494097. 926455.i 0.146947 0.275533i
\(409\) −2.73965e6 + 1.58174e6i −0.809817 + 0.467548i −0.846892 0.531765i \(-0.821529\pi\)
0.0370755 + 0.999312i \(0.488196\pi\)
\(410\) 696097. 1.98139e6i 0.204508 0.582116i
\(411\) 1.18701e6 0.346617
\(412\) −355192. + 2.31724e6i −0.103091 + 0.672556i
\(413\) 1.68567e6 + 973222.i 0.486292 + 0.280761i
\(414\) 5.54183e6 1.04140e6i 1.58910 0.298619i
\(415\) −109167. 63027.5i −0.0311151 0.0179643i
\(416\) 1.65242e6 2.20992e6i 0.468152 0.626100i
\(417\) 620801.i 0.174828i
\(418\) −836040. 715895.i −0.234038 0.200405i
\(419\) 3.93717e6i 1.09559i 0.836611 + 0.547797i \(0.184533\pi\)
−0.836611 + 0.547797i \(0.815467\pi\)
\(420\) 126190. + 323904.i 0.0349061 + 0.0895970i
\(421\) −2.33059e6 1.34557e6i −0.640858 0.369999i 0.144087 0.989565i \(-0.453975\pi\)
−0.784945 + 0.619566i \(0.787309\pi\)
\(422\) −497092. 2.64528e6i −0.135880 0.723087i
\(423\) 5.93924e6 + 3.42902e6i 1.61391 + 0.931793i
\(424\) −4.48129e6 2.38996e6i −1.21057 0.645619i
\(425\) −4.39622e6 −1.18061
\(426\) −197214. 69284.9i −0.0526519 0.0184976i
\(427\) −158230. + 91354.1i −0.0419971 + 0.0242470i
\(428\) −645510. + 4.21125e6i −0.170331 + 1.11122i
\(429\) −211083. −0.0553745
\(430\) 406395. 1.15677e6i 0.105993 0.301701i
\(431\) 125877. + 218026.i 0.0326403 + 0.0565347i 0.881884 0.471466i \(-0.156275\pi\)
−0.849244 + 0.528001i \(0.822942\pi\)
\(432\) 1.65658e6 + 520067.i 0.427073 + 0.134076i
\(433\) 4.18713e6 2.41744e6i 1.07324 0.619635i 0.144175 0.989552i \(-0.453947\pi\)
0.929065 + 0.369917i \(0.120614\pi\)
\(434\) −1.77862e6 2.07203e6i −0.453273 0.528046i
\(435\) 475906. + 274765.i 0.120586 + 0.0696206i
\(436\) 1.76096e6 2.19689e6i 0.443642 0.553466i
\(437\) −5.31244e6 + 4.26889e6i −1.33073 + 1.06933i
\(438\) −472292. 165925.i −0.117632 0.0413262i
\(439\) 3.10558e6 5.37902e6i 0.769098 1.33212i −0.168955 0.985624i \(-0.554039\pi\)
0.938053 0.346492i \(-0.112627\pi\)
\(440\) −15229.0 452374.i −0.00375007 0.111395i
\(441\) −651831. 1.12900e6i −0.159602 0.276439i
\(442\) −2.84092e6 3.30956e6i −0.691676 0.805776i
\(443\) −1.05092e6 + 606748.i −0.254425 + 0.146892i −0.621789 0.783185i \(-0.713594\pi\)
0.367364 + 0.930077i \(0.380260\pi\)
\(444\) −416236. + 519277.i −0.100203 + 0.125009i
\(445\) 877871.i 0.210151i
\(446\) 506776. + 2.69682e6i 0.120637 + 0.641969i
\(447\) 589292. + 1.02068e6i 0.139496 + 0.241614i
\(448\) 4.40951e6 + 2.16437e6i 1.03799 + 0.509492i
\(449\) 618275.i 0.144732i −0.997378 0.0723662i \(-0.976945\pi\)
0.997378 0.0723662i \(-0.0230550\pi\)
\(450\) −653088. 3.47542e6i −0.152034 0.809051i
\(451\) −1.13504e6 + 1.96595e6i −0.262767 + 0.455126i
\(452\) −6.05645e6 928345.i −1.39435 0.213729i
\(453\) 26659.3 46175.3i 0.00610385 0.0105722i
\(454\) 4.80506e6 4.12465e6i 1.09410 0.939176i
\(455\) 1.44402e6 0.326997
\(456\) −1.00298e6 + 189736.i −0.225881 + 0.0427305i
\(457\) 8.16871e6 1.82963 0.914815 0.403874i \(-0.132336\pi\)
0.914815 + 0.403874i \(0.132336\pi\)
\(458\) −2.79359e6 + 2.39801e6i −0.622299 + 0.534180i
\(459\) 1.37224e6 2.37679e6i 0.304018 0.526575i
\(460\) −2.77023e6 424627.i −0.610409 0.0935649i
\(461\) −3.85338e6 + 6.67425e6i −0.844481 + 1.46268i 0.0415909 + 0.999135i \(0.486757\pi\)
−0.886072 + 0.463549i \(0.846576\pi\)
\(462\) −69395.6 369290.i −0.0151261 0.0804937i
\(463\) 1.67805e6i 0.363792i 0.983318 + 0.181896i \(0.0582234\pi\)
−0.983318 + 0.181896i \(0.941777\pi\)
\(464\) 7.57904e6 1.69006e6i 1.63425 0.364425i
\(465\) 116680. + 202096.i 0.0250244 + 0.0433436i
\(466\) 1.04946e6 + 5.58472e6i 0.223873 + 1.19134i
\(467\) 4.39751e6i 0.933071i −0.884502 0.466536i \(-0.845502\pi\)
0.884502 0.466536i \(-0.154498\pi\)
\(468\) 2.19433e6 2.73754e6i 0.463113 0.577757i
\(469\) 2.73779e6 1.58067e6i 0.574736 0.331824i
\(470\) −2.22013e6 2.58637e6i −0.463590 0.540064i
\(471\) 67783.9 + 117405.i 0.0140791 + 0.0243857i
\(472\) −2.34913e6 + 79082.6i −0.485347 + 0.0163390i
\(473\) −662661. + 1.14776e6i −0.136188 + 0.235884i
\(474\) 1.22628e6 + 430815.i 0.250694 + 0.0880735i
\(475\) 2.67713e6 + 3.33157e6i 0.544421 + 0.677508i
\(476\) 4.85609e6 6.05823e6i 0.982358 1.22554i
\(477\) −5.59230e6 3.22871e6i −1.12537 0.649731i
\(478\) −1.19937e6 1.39722e6i −0.240095 0.279701i
\(479\) −3.25121e6 + 1.87709e6i −0.647450 + 0.373806i −0.787479 0.616342i \(-0.788614\pi\)
0.140028 + 0.990147i \(0.455281\pi\)
\(480\) −336184. 251374.i −0.0666000 0.0497986i
\(481\) 1.38227e6 + 2.39417e6i 0.272415 + 0.471837i
\(482\) −204268. + 581432.i −0.0400481 + 0.113994i
\(483\) −2.32658e6 −0.453785
\(484\) 706710. 4.61052e6i 0.137129 0.894615i
\(485\) −39533.0 + 22824.4i −0.00763143 + 0.00440601i
\(486\) 3.15250e6 + 1.10753e6i 0.605431 + 0.212699i
\(487\) −8.87474e6 −1.69564 −0.847820 0.530285i \(-0.822085\pi\)
−0.847820 + 0.530285i \(0.822085\pi\)
\(488\) 103825. 194677.i 0.0197357 0.0370054i
\(489\) 231435. + 133619.i 0.0437680 + 0.0252695i
\(490\) 119664. + 636795.i 0.0225151 + 0.119814i
\(491\) 1.03045e6 + 594929.i 0.192895 + 0.111368i 0.593337 0.804954i \(-0.297810\pi\)
−0.400442 + 0.916322i \(0.631143\pi\)
\(492\) 764251. + 1.96168e6i 0.142339 + 0.365355i
\(493\) 1.22741e7i 2.27443i
\(494\) −778061. + 4.16831e6i −0.143449 + 0.768499i
\(495\) 575498.i 0.105568i
\(496\) 3.14613e6 + 987697.i 0.574212 + 0.180268i
\(497\) −1.33863e6 772859.i −0.243092 0.140349i
\(498\) 124193. 23337.9i 0.0224400 0.00421684i
\(499\) 3.34073e6 + 1.92877e6i 0.600607 + 0.346761i 0.769280 0.638911i \(-0.220615\pi\)
−0.168673 + 0.985672i \(0.553948\pi\)
\(500\) −572681. + 3.73612e6i −0.102444 + 0.668338i
\(501\) 68478.2 0.0121887
\(502\) −1.44874e6 + 4.12373e6i −0.256585 + 0.730350i
\(503\) 7.26402e6 4.19389e6i 1.28014 0.739089i 0.303266 0.952906i \(-0.401923\pi\)
0.976874 + 0.213817i \(0.0685897\pi\)
\(504\) 5.51073e6 + 2.93898e6i 0.966346 + 0.515371i
\(505\) 269238. 0.0469794
\(506\) 2.85817e6 + 1.00413e6i 0.496263 + 0.174346i
\(507\) −258682. 448051.i −0.0446937 0.0774118i
\(508\) −9.05671e6 + 3.52841e6i −1.55708 + 0.606624i
\(509\) −2.70305e6 + 1.56061e6i −0.462444 + 0.266992i −0.713072 0.701091i \(-0.752697\pi\)
0.250627 + 0.968084i \(0.419363\pi\)
\(510\) −503466. + 432174.i −0.0857126 + 0.0735755i
\(511\) −3.20578e6 1.85086e6i −0.543102 0.313560i
\(512\) −5.90144e6 + 597816.i −0.994908 + 0.100784i
\(513\) −2.63684e6 + 407455.i −0.442375 + 0.0683575i
\(514\) 1.14409e6 3.25657e6i 0.191008 0.543691i
\(515\) 740722. 1.28297e6i 0.123066 0.213156i
\(516\) 446185. + 1.14527e6i 0.0737718 + 0.189357i
\(517\) 1.84222e6 + 3.19082e6i 0.303120 + 0.525020i
\(518\) −3.73416e6 + 3.20540e6i −0.611461 + 0.524877i
\(519\) −1.34383e6 + 775858.i −0.218990 + 0.126434i
\(520\) −1.47994e6 + 922192.i −0.240014 + 0.149559i
\(521\) 6.11217e6i 0.986510i 0.869885 + 0.493255i \(0.164193\pi\)
−0.869885 + 0.493255i \(0.835807\pi\)
\(522\) 9.70325e6 1.82340e6i 1.55862 0.292891i
\(523\) 2.36763e6 + 4.10086e6i 0.378495 + 0.655572i 0.990843 0.135016i \(-0.0431085\pi\)
−0.612349 + 0.790588i \(0.709775\pi\)
\(524\) 6.65916e6 8.30766e6i 1.05948 1.32175i
\(525\) 1.45906e6i 0.231033i
\(526\) −6.57551e6 + 1.23565e6i −1.03625 + 0.194729i
\(527\) 2.60613e6 4.51394e6i 0.408761 0.707994i
\(528\) 306961. + 334159.i 0.0479179 + 0.0521637i
\(529\) 6.16059e6 1.06704e7i 0.957156 1.65784i
\(530\) 2.09044e6 + 2.43528e6i 0.323257 + 0.376582i
\(531\) −2.98851e6 −0.459958
\(532\) −7.54826e6 + 9156.49i −1.15629 + 0.00140265i
\(533\) 8.74548e6 1.33342
\(534\) −573205. 667762.i −0.0869875 0.101337i
\(535\) 1.34616e6 2.33161e6i 0.203334 0.352185i
\(536\) −1.79645e6 + 3.36842e6i −0.270086 + 0.506424i
\(537\) −318901. + 552353.i −0.0477222 + 0.0826573i
\(538\) 2.10031e6 394683.i 0.312844 0.0587885i
\(539\) 700384.i 0.103840i
\(540\) −856131. 686248.i −0.126344 0.101274i
\(541\) −2.21872e6 3.84293e6i −0.325918 0.564507i 0.655780 0.754952i \(-0.272340\pi\)
−0.981698 + 0.190446i \(0.939007\pi\)
\(542\) −3.51891e6 + 661261.i −0.514529 + 0.0966885i
\(543\) 2.51990e6i 0.366762i
\(544\) −1.10795e6 + 9.31019e6i −0.160517 + 1.34884i
\(545\) −1.54086e6 + 889617.i −0.222214 + 0.128296i
\(546\) −1.09841e6 + 942870.i −0.157682 + 0.135354i
\(547\) −1.67768e6 2.90582e6i −0.239740 0.415242i 0.720900 0.693039i \(-0.243729\pi\)
−0.960640 + 0.277798i \(0.910395\pi\)
\(548\) −9.87649e6 + 3.84778e6i −1.40492 + 0.547343i
\(549\) 140262. 242941.i 0.0198614 0.0344010i
\(550\) 629713. 1.79243e6i 0.0887638 0.252659i
\(551\) −9.30163e6 + 7.47445e6i −1.30521 + 1.04882i
\(552\) 2.38446e6 1.48582e6i 0.333076 0.207548i
\(553\) 8.32365e6 + 4.80566e6i 1.15745 + 0.668252i
\(554\) −1.06790e7 + 9.16682e6i −1.47828 + 1.26895i
\(555\) 364213. 210278.i 0.0501906 0.0289776i
\(556\) 2.01237e6 + 5.16535e6i 0.276071 + 0.708619i
\(557\) −2.02151e6 3.50136e6i −0.276082 0.478188i 0.694326 0.719661i \(-0.255703\pi\)
−0.970408 + 0.241473i \(0.922369\pi\)
\(558\) 3.95564e6 + 1.38969e6i 0.537813 + 0.188944i
\(559\) 5.10579e6 0.691088
\(560\) −2.09992e6 2.28598e6i −0.282965 0.308037i
\(561\) 621130. 358610.i 0.0833250 0.0481077i
\(562\) −1.18369e6 + 3.36928e6i −0.158087 + 0.449983i
\(563\) −1.09342e7 −1.45384 −0.726920 0.686722i \(-0.759049\pi\)
−0.726920 + 0.686722i \(0.759049\pi\)
\(564\) 3.37753e6 + 517715.i 0.447097 + 0.0685319i
\(565\) 3.35323e6 + 1.93599e6i 0.441918 + 0.255141i
\(566\) 1.04604e7 1.96569e6i 1.37249 0.257913i
\(567\) 6.47183e6 + 3.73651e6i 0.845414 + 0.488100i
\(568\) 1.86550e6 62801.5i 0.242619 0.00816768i
\(569\) 8.88317e6i 1.15024i −0.818070 0.575118i \(-0.804956\pi\)
0.818070 0.575118i \(-0.195044\pi\)
\(570\) 634104. + 118362.i 0.0817473 + 0.0152590i
\(571\) 1.05033e7i 1.34814i 0.738666 + 0.674072i \(0.235456\pi\)
−0.738666 + 0.674072i \(0.764544\pi\)
\(572\) 1.75631e6 684241.i 0.224445 0.0874418i
\(573\) 673394. + 388784.i 0.0856806 + 0.0494677i
\(574\) 2.87516e6 + 1.53002e7i 0.364236 + 1.93829i
\(575\) −1.01873e7 5.88166e6i −1.28496 0.741874i
\(576\) −7.52474e6 + 507210.i −0.945008 + 0.0636988i
\(577\) 2.80681e6 0.350972 0.175486 0.984482i \(-0.443850\pi\)
0.175486 + 0.984482i \(0.443850\pi\)
\(578\) 6.40439e6 + 2.24998e6i 0.797367 + 0.280129i
\(579\) −2.21456e6 + 1.27858e6i −0.274531 + 0.158501i
\(580\) −4.85043e6 743484.i −0.598701 0.0917702i
\(581\) 934442. 0.114845
\(582\) 15168.0 43174.7i 0.00185619 0.00528350i
\(583\) −1.73461e6 3.00443e6i −0.211363 0.366092i
\(584\) 4.46754e6 150398.i 0.542047 0.0182478i
\(585\) −1.92007e6 + 1.10855e6i −0.231967 + 0.133926i
\(586\) 4.80608e6 + 5.59890e6i 0.578158 + 0.673532i
\(587\) −1.23147e7 7.10992e6i −1.47513 0.851666i −0.475522 0.879704i \(-0.657741\pi\)
−0.999607 + 0.0280376i \(0.991074\pi\)
\(588\) −506818. 406250.i −0.0604517 0.0484563i
\(589\) −5.00781e6 + 773827.i −0.594785 + 0.0919085i
\(590\) 1.40137e6 + 492327.i 0.165738 + 0.0582268i
\(591\) 689241. 1.19380e6i 0.0811713 0.140593i
\(592\) 1.78001e6 5.66988e6i 0.208746 0.664921i
\(593\) −6.74725e6 1.16866e7i −0.787934 1.36474i −0.927230 0.374491i \(-0.877817\pi\)
0.139296 0.990251i \(-0.455516\pi\)
\(594\) 772509. + 899943.i 0.0898333 + 0.104652i
\(595\) −4.24915e6 + 2.45325e6i −0.492051 + 0.284086i
\(596\) −8.21180e6 6.58233e6i −0.946940 0.759038i
\(597\) 158973.i 0.0182552i
\(598\) −2.15541e6 1.14701e7i −0.246478 1.31163i
\(599\) 6.72587e6 + 1.16496e7i 0.765917 + 1.32661i 0.939761 + 0.341833i \(0.111048\pi\)
−0.173844 + 0.984773i \(0.555619\pi\)
\(600\) −931796. 1.49536e6i −0.105668 0.169577i
\(601\) 1.87934e6i 0.212236i −0.994354 0.106118i \(-0.966158\pi\)
0.994354 0.106118i \(-0.0338422\pi\)
\(602\) 1.67858e6 + 8.93257e6i 0.188777 + 1.00458i
\(603\) −2.42690e6 + 4.20352e6i −0.271806 + 0.470782i
\(604\) −72137.3 + 470618.i −0.00804577 + 0.0524900i
\(605\) −1.47378e6 + 2.55267e6i −0.163699 + 0.283535i
\(606\) −204798. + 175798.i −0.0226540 + 0.0194461i
\(607\) −4.89521e6 −0.539262 −0.269631 0.962964i \(-0.586902\pi\)
−0.269631 + 0.962964i \(0.586902\pi\)
\(608\) 7.73020e6 4.82992e6i 0.848070 0.529884i
\(609\) −4.07364e6 −0.445082
\(610\) −105794. + 90813.2i −0.0115116 + 0.00988153i
\(611\) 7.09714e6 1.22926e7i 0.769095 1.33211i
\(612\) −1.80618e6 + 1.17834e7i −0.194932 + 1.27172i
\(613\) 909734. 1.57571e6i 0.0977830 0.169365i −0.812984 0.582286i \(-0.802158\pi\)
0.910767 + 0.412921i \(0.135492\pi\)
\(614\) −1.42341e6 7.57468e6i −0.152373 0.810855i
\(615\) 1.33040e6i 0.141839i
\(616\) 1.77448e6 + 2.84771e6i 0.188417 + 0.302374i
\(617\) −457598. 792583.i −0.0483917 0.0838169i 0.840815 0.541323i \(-0.182076\pi\)
−0.889207 + 0.457506i \(0.848743\pi\)
\(618\) 274275. + 1.45956e6i 0.0288878 + 0.153727i
\(619\) 1.26888e7i 1.33105i 0.746376 + 0.665525i \(0.231792\pi\)
−0.746376 + 0.665525i \(0.768208\pi\)
\(620\) −1.62594e6 1.30330e6i −0.169873 0.136165i
\(621\) 6.35978e6 3.67182e6i 0.661779 0.382078i
\(622\) 4.50874e6 + 5.25251e6i 0.467282 + 0.544366i
\(623\) −3.25382e6 5.63578e6i −0.335871 0.581746i
\(624\) 523591. 1.66780e6i 0.0538307 0.171468i
\(625\) −3.04959e6 + 5.28205e6i −0.312278 + 0.540882i
\(626\) −9.20493e6 3.23386e6i −0.938825 0.329826i
\(627\) −650008. 252329.i −0.0660313 0.0256329i
\(628\) −944572. 757140.i −0.0955731 0.0766085i
\(629\) −8.13493e6 4.69670e6i −0.819836 0.473333i
\(630\) −2.57065e6 2.99471e6i −0.258043 0.300610i
\(631\) 1.57775e7 9.10912e6i 1.57748 0.910758i 0.582270 0.812996i \(-0.302165\pi\)
0.995210 0.0977624i \(-0.0311685\pi\)
\(632\) −1.15998e7 + 390501.i −1.15520 + 0.0388893i
\(633\) −852550. 1.47666e6i −0.0845689 0.146478i
\(634\) 1.36037e6 3.87218e6i 0.134410 0.382588i
\(635\) 6.14224e6 0.604494
\(636\) −3.18023e6 487472.i −0.311756 0.0477867i
\(637\) −2.33673e6 + 1.34911e6i −0.228171 + 0.131734i
\(638\) 5.00440e6 + 1.75814e6i 0.486744 + 0.171002i
\(639\) 2.37325e6 0.229928
\(640\) 3.61205e6 + 1.00178e6i 0.348582 + 0.0966772i
\(641\) −3.64651e6 2.10531e6i −0.350535 0.202382i 0.314386 0.949295i \(-0.398201\pi\)
−0.664921 + 0.746914i \(0.731535\pi\)
\(642\) 498455. + 2.65253e6i 0.0477296 + 0.253994i
\(643\) 7.89001e6 + 4.55530e6i 0.752576 + 0.434500i 0.826624 0.562755i \(-0.190259\pi\)
−0.0740482 + 0.997255i \(0.523592\pi\)
\(644\) 1.93582e7 7.54178e6i 1.83929 0.716571i
\(645\) 776717.i 0.0735129i
\(646\) −4.79205e6 1.35875e7i −0.451794 1.28103i
\(647\) 1.36512e6i 0.128207i 0.997943 + 0.0641034i \(0.0204188\pi\)
−0.997943 + 0.0641034i \(0.979581\pi\)
\(648\) −9.01908e6 + 303624.i −0.843771 + 0.0284052i
\(649\) −1.39045e6 802779.i −0.129582 0.0748142i
\(650\) −7.19316e6 + 1.35171e6i −0.667785 + 0.125488i
\(651\) −1.49813e6 864946.i −0.138547 0.0799901i
\(652\) −2.35878e6 361559.i −0.217305 0.0333089i
\(653\) 1.07543e7 0.986959 0.493479 0.869758i \(-0.335725\pi\)
0.493479 + 0.869758i \(0.335725\pi\)
\(654\) 591198. 1.68280e6i 0.0540491 0.153847i
\(655\) −5.82686e6 + 3.36414e6i −0.530679 + 0.306387i
\(656\) −1.27178e7 1.38447e7i −1.15386 1.25610i
\(657\) 5.68350e6 0.513691
\(658\) 2.38391e7 + 8.37512e6i 2.14648 + 0.754096i
\(659\) 6.97968e6 + 1.20892e7i 0.626068 + 1.08438i 0.988333 + 0.152307i \(0.0486703\pi\)
−0.362265 + 0.932075i \(0.617996\pi\)
\(660\) −104090. 267178.i −0.00930142 0.0238749i
\(661\) 8.54614e6 4.93412e6i 0.760793 0.439244i −0.0687875 0.997631i \(-0.521913\pi\)
0.829580 + 0.558387i \(0.188580\pi\)
\(662\) −4.91764e6 + 4.22129e6i −0.436126 + 0.374370i
\(663\) −2.39290e6 1.38154e6i −0.211417 0.122062i
\(664\) −957690. + 596761.i −0.0842955 + 0.0525268i
\(665\) 4.44670e6 + 1.72618e6i 0.389928 + 0.151368i
\(666\) 2.50447e6 7.12877e6i 0.218791 0.622772i
\(667\) 1.64214e7 2.84427e7i 1.42921 2.47546i
\(668\) −569770. + 221977.i −0.0494036 + 0.0192472i
\(669\) 869160. + 1.50543e6i 0.0750817 + 0.130045i
\(670\) 1.83051e6 1.57131e6i 0.157538 0.135230i
\(671\) 130519. 75355.0i 0.0111909 0.00646109i
\(672\) 3.08995e6 + 367715.i 0.263954 + 0.0314115i
\(673\) 1.51820e6i 0.129209i −0.997911 0.0646043i \(-0.979421\pi\)
0.997911 0.0646043i \(-0.0205785\pi\)
\(674\) 9.57711e6 1.79970e6i 0.812054 0.152598i
\(675\) −2.30269e6 3.98838e6i −0.194525 0.336928i
\(676\) 3.60474e6 + 2.88945e6i 0.303395 + 0.243192i
\(677\) 1.89519e7i 1.58921i 0.607127 + 0.794605i \(0.292322\pi\)
−0.607127 + 0.794605i \(0.707678\pi\)
\(678\) −3.81476e6 + 716857.i −0.318708 + 0.0598905i
\(679\) 169197. 293057.i 0.0140837 0.0243937i
\(680\) 2.78815e6 5.22791e6i 0.231230 0.433567i
\(681\) 2.00582e6 3.47418e6i 0.165739 0.287068i
\(682\) 1.46713e6 + 1.70915e6i 0.120783 + 0.140708i
\(683\) 1.89319e7 1.55290 0.776450 0.630179i \(-0.217018\pi\)
0.776450 + 0.630179i \(0.217018\pi\)
\(684\) 1.00297e7 5.80686e6i 0.819683 0.474571i
\(685\) 6.69821e6 0.545421
\(686\) 6.15446e6 + 7.16971e6i 0.499321 + 0.581690i
\(687\) −1.16615e6 + 2.01984e6i −0.0942680 + 0.163277i
\(688\) −7.42493e6 8.08281e6i −0.598028 0.651016i
\(689\) −6.68255e6 + 1.15745e7i −0.536283 + 0.928870i
\(690\) −1.74488e6 + 327892.i −0.139522 + 0.0262185i
\(691\) 6.18563e6i 0.492821i −0.969166 0.246410i \(-0.920749\pi\)
0.969166 0.246410i \(-0.0792511\pi\)
\(692\) 8.66626e6 1.08116e7i 0.687965 0.858272i
\(693\) 2.13308e6 + 3.69460e6i 0.168723 + 0.292236i
\(694\) 1.00441e7 1.88746e6i 0.791616 0.148758i
\(695\) 3.50313e6i 0.275102i
\(696\) 4.17499e6 2.60154e6i 0.326687 0.203567i
\(697\) −2.57343e7 + 1.48577e7i −2.00646 + 1.15843i
\(698\) −9.44979e6 + 8.11167e6i −0.734148 + 0.630190i
\(699\) 1.79991e6 + 3.11753e6i 0.139334 + 0.241334i
\(700\) −4.72964e6 1.21400e7i −0.364824 0.936430i
\(701\) 2.92331e6 5.06332e6i 0.224688 0.389171i −0.731538 0.681801i \(-0.761197\pi\)
0.956226 + 0.292630i \(0.0945304\pi\)
\(702\) 1.51449e6 4.31087e6i 0.115991 0.330159i
\(703\) 1.39457e6 + 9.02497e6i 0.106427 + 0.688743i
\(704\) −3.63726e6 1.78532e6i −0.276594 0.135764i
\(705\) −1.87001e6 1.07965e6i −0.141700 0.0818107i
\(706\) 1.21309e6 1.04131e6i 0.0915967 0.0786264i
\(707\) −1.72846e6 + 997925.i −0.130050 + 0.0750844i
\(708\) −1.38743e6 + 540530.i −0.104023 + 0.0405262i
\(709\) 2.38699e6 + 4.13439e6i 0.178334 + 0.308884i 0.941310 0.337543i \(-0.109596\pi\)
−0.762976 + 0.646427i \(0.776263\pi\)
\(710\) −1.11286e6 390969.i −0.0828506 0.0291069i
\(711\) −1.47569e7 −1.09477
\(712\) 6.93393e6 + 3.69800e6i 0.512601 + 0.273380i
\(713\) 1.20783e7 6.97342e6i 0.889780 0.513715i
\(714\) 1.63032e6 4.64057e6i 0.119681 0.340663i
\(715\) −1.19112e6 −0.0871348
\(716\) 862914. 5.62958e6i 0.0629049 0.410387i
\(717\) −1.01023e6 583254.i −0.0733872 0.0423701i
\(718\) 2.25150e6 423094.i 0.162990 0.0306285i
\(719\) 6.58655e6 + 3.80275e6i 0.475156 + 0.274331i 0.718395 0.695635i \(-0.244877\pi\)
−0.243240 + 0.969966i \(0.578210\pi\)
\(720\) 4.54711e6 + 1.42752e6i 0.326892 + 0.102625i
\(721\) 1.09819e7i 0.786754i
\(722\) −7.37877e6 + 1.19058e7i −0.526794 + 0.849993i
\(723\) 390403.i 0.0277759i
\(724\) 8.16845e6 + 2.09668e7i 0.579153 + 1.48657i
\(725\) −1.78371e7 1.02983e7i −1.26032 0.727644i
\(726\) −545713. 2.90402e6i −0.0384258 0.204483i
\(727\) 1.25580e7 + 7.25034e6i 0.881217 + 0.508771i 0.871059 0.491178i \(-0.163433\pi\)
0.0101575 + 0.999948i \(0.496767\pi\)
\(728\) 6.08288e6 1.14057e7i 0.425384 0.797615i
\(729\) −9.99730e6 −0.696729
\(730\) −2.66510e6 936299.i −0.185100 0.0650290i
\(731\) −1.50242e7 + 8.67424e6i −1.03992 + 0.600396i
\(732\) 21176.8 138156.i 0.00146078 0.00952998i
\(733\) −9.30389e6 −0.639594 −0.319797 0.947486i \(-0.603615\pi\)
−0.319797 + 0.947486i \(0.603615\pi\)
\(734\) 4.37600e6 1.24560e7i 0.299804 0.853369i
\(735\) 205233. + 355474.i 0.0140129 + 0.0242711i
\(736\) −1.50234e7 + 2.00921e7i −1.02229 + 1.36720i
\(737\) −2.25831e6 + 1.30384e6i −0.153150 + 0.0884209i
\(738\) −1.55687e7 1.81370e7i −1.05223 1.22581i
\(739\) −2.37923e7 1.37365e7i −1.60260 0.925264i −0.990964 0.134127i \(-0.957177\pi\)
−0.611639 0.791137i \(-0.709490\pi\)
\(740\) −2.34879e6 + 2.93023e6i −0.157675 + 0.196708i
\(741\) 410215. + 2.65470e6i 0.0274452 + 0.177611i
\(742\) −2.24466e7 7.88588e6i −1.49672 0.525824i
\(743\) −5.25194e6 + 9.09663e6i −0.349018 + 0.604517i −0.986075 0.166299i \(-0.946818\pi\)
0.637057 + 0.770817i \(0.280152\pi\)
\(744\) 2.08778e6 70284.3i 0.138278 0.00465507i
\(745\) 3.32532e6 + 5.75963e6i 0.219504 + 0.380193i
\(746\) −1.27057e7 1.48016e7i −0.835892 0.973782i
\(747\) −1.24250e6 + 717357.i −0.0814694 + 0.0470364i
\(748\) −4.00563e6 + 4.99724e6i −0.261768 + 0.326570i
\(749\) 1.99580e7i 1.29991i
\(750\) 442217. + 2.35326e6i 0.0287066 + 0.152763i
\(751\) 5.42475e6 + 9.39595e6i 0.350978 + 0.607912i 0.986421 0.164236i \(-0.0525158\pi\)
−0.635443 + 0.772148i \(0.719182\pi\)
\(752\) −2.97808e7 + 6.64088e6i −1.92040 + 0.428234i
\(753\) 2.76888e6i 0.177958i
\(754\) −3.77394e6 2.00831e7i −0.241750 1.28648i
\(755\) 150436. 260563.i 0.00960473 0.0166359i
\(756\) 8.03977e6 + 1.23235e6i 0.511610 + 0.0784207i
\(757\) −8.21623e6 + 1.42309e7i −0.521114 + 0.902596i 0.478584 + 0.878042i \(0.341150\pi\)
−0.999698 + 0.0245545i \(0.992183\pi\)
\(758\) 396155. 340058.i 0.0250433 0.0214971i
\(759\) 1.91912e6 0.120920
\(760\) −5.65972e6 + 1.07066e6i −0.355436 + 0.0672387i
\(761\) 8.76024e6 0.548346 0.274173 0.961680i \(-0.411596\pi\)
0.274173 + 0.961680i \(0.411596\pi\)
\(762\) −4.67216e6 + 4.01057e6i −0.291494 + 0.250218i
\(763\) 6.59470e6 1.14224e7i 0.410094 0.710304i
\(764\) −6.86322e6 1.05201e6i −0.425397 0.0652058i
\(765\) 3.76664e6 6.52402e6i 0.232702 0.403052i
\(766\) 3.64353e6 + 1.93891e7i 0.224363 + 1.19395i
\(767\) 6.18539e6i 0.379646i
\(768\) −3.40166e6 + 1.59647e6i −0.208108 + 0.0976692i
\(769\) 2.57778e6 + 4.46485e6i 0.157192