Properties

Label 38.6.e.b.5.4
Level $38$
Weight $6$
Character 38.5
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.09458515289\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 5.4
Character \(\chi\) \(=\) 38.5
Dual form 38.6.e.b.23.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.75877 + 1.36808i) q^{2} +(3.93255 - 22.3026i) q^{3} +(12.2567 - 10.2846i) q^{4} +(61.0402 + 51.2189i) q^{5} +(15.7302 + 89.2104i) q^{6} +(-95.8893 - 166.085i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(-253.595 - 92.3012i) q^{9} +O(q^{10})\) \(q+(-3.75877 + 1.36808i) q^{2} +(3.93255 - 22.3026i) q^{3} +(12.2567 - 10.2846i) q^{4} +(61.0402 + 51.2189i) q^{5} +(15.7302 + 89.2104i) q^{6} +(-95.8893 - 166.085i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(-253.595 - 92.3012i) q^{9} +(-299.508 - 109.012i) q^{10} +(179.141 - 310.281i) q^{11} +(-181.173 - 313.801i) q^{12} +(-77.0619 - 437.039i) q^{13} +(587.644 + 493.091i) q^{14} +(1382.36 - 1159.94i) q^{15} +(44.4539 - 252.111i) q^{16} +(-931.877 + 339.176i) q^{17} +1079.48 q^{18} +(-1314.04 - 865.679i) q^{19} +1274.92 q^{20} +(-4081.22 + 1485.44i) q^{21} +(-248.860 + 1411.35i) q^{22} +(1025.79 - 860.740i) q^{23} +(1110.29 + 931.647i) q^{24} +(559.891 + 3175.30i) q^{25} +(887.563 + 1537.30i) q^{26} +(-304.264 + 527.001i) q^{27} +(-2883.41 - 1049.47i) q^{28} +(4769.55 + 1735.97i) q^{29} +(-3609.08 + 6251.11i) q^{30} +(3275.66 + 5673.61i) q^{31} +(177.816 + 1008.44i) q^{32} +(-6215.59 - 5215.50i) q^{33} +(3038.69 - 2549.77i) q^{34} +(2653.58 - 15049.2i) q^{35} +(-4057.53 + 1476.82i) q^{36} +13217.2 q^{37} +(6123.49 + 1456.18i) q^{38} -10050.2 q^{39} +(-4792.12 + 1744.19i) q^{40} +(-1716.25 + 9733.34i) q^{41} +(13308.2 - 11166.9i) q^{42} +(8638.67 + 7248.71i) q^{43} +(-995.440 - 5645.42i) q^{44} +(-10752.0 - 18622.9i) q^{45} +(-2678.15 + 4638.69i) q^{46} +(-26465.9 - 9632.81i) q^{47} +(-5447.91 - 1982.88i) q^{48} +(-9986.01 + 17296.3i) q^{49} +(-6448.57 - 11169.2i) q^{50} +(3899.84 + 22117.1i) q^{51} +(-5439.30 - 4564.12i) q^{52} +(23464.4 - 19689.0i) q^{53} +(422.679 - 2397.13i) q^{54} +(26827.0 - 9764.25i) q^{55} +12273.8 q^{56} +(-24474.4 + 25902.2i) q^{57} -20302.6 q^{58} +(38660.6 - 14071.3i) q^{59} +(5013.68 - 28434.0i) q^{60} +(-12291.7 + 10313.9i) q^{61} +(-20074.4 - 16844.4i) q^{62} +(8987.23 + 50969.1i) q^{63} +(-2048.00 - 3547.24i) q^{64} +(17680.8 - 30624.0i) q^{65} +(30498.2 + 11100.4i) q^{66} +(-20837.7 - 7584.32i) q^{67} +(-7933.46 + 13741.2i) q^{68} +(-15162.8 - 26262.7i) q^{69} +(10614.3 + 60196.9i) q^{70} +(12700.2 + 10656.8i) q^{71} +(13230.9 - 11102.0i) q^{72} +(1056.38 - 5991.02i) q^{73} +(-49680.5 + 18082.2i) q^{74} +73019.2 q^{75} +(-25009.0 + 2903.99i) q^{76} -68710.7 q^{77} +(37776.3 - 13749.4i) q^{78} +(-15722.6 + 89167.3i) q^{79} +(15626.3 - 13112.0i) q^{80} +(-39679.1 - 33294.7i) q^{81} +(-6865.00 - 38933.4i) q^{82} +(50497.0 + 87463.3i) q^{83} +(-34745.1 + 60180.3i) q^{84} +(-74254.2 - 27026.3i) q^{85} +(-42387.6 - 15427.8i) q^{86} +(57473.2 - 99546.5i) q^{87} +(11465.0 + 19858.0i) q^{88} +(19091.4 + 108273. i) q^{89} +(65891.9 + 55289.8i) q^{90} +(-65196.3 + 54706.2i) q^{91} +(3720.45 - 21099.7i) q^{92} +(139418. - 50744.0i) q^{93} +112658. q^{94} +(-35870.2 - 120145. i) q^{95} +23190.2 q^{96} +(76849.7 - 27971.0i) q^{97} +(13872.4 - 78674.4i) q^{98} +(-74068.6 + 62150.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10}) \) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.75877 + 1.36808i −0.664463 + 0.241845i
\(3\) 3.93255 22.3026i 0.252273 1.43071i −0.550703 0.834701i \(-0.685640\pi\)
0.802976 0.596011i \(-0.203248\pi\)
\(4\) 12.2567 10.2846i 0.383022 0.321394i
\(5\) 61.0402 + 51.2189i 1.09192 + 0.916231i 0.996856 0.0792404i \(-0.0252495\pi\)
0.0950656 + 0.995471i \(0.469694\pi\)
\(6\) 15.7302 + 89.2104i 0.178384 + 1.01167i
\(7\) −95.8893 166.085i −0.739648 1.28111i −0.952654 0.304057i \(-0.901659\pi\)
0.213006 0.977051i \(-0.431675\pi\)
\(8\) −32.0000 + 55.4256i −0.176777 + 0.306186i
\(9\) −253.595 92.3012i −1.04360 0.379840i
\(10\) −299.508 109.012i −0.947127 0.344726i
\(11\) 179.141 310.281i 0.446388 0.773167i −0.551759 0.834003i \(-0.686043\pi\)
0.998148 + 0.0608359i \(0.0193766\pi\)
\(12\) −181.173 313.801i −0.363196 0.629073i
\(13\) −77.0619 437.039i −0.126468 0.717236i −0.980425 0.196893i \(-0.936915\pi\)
0.853957 0.520344i \(-0.174196\pi\)
\(14\) 587.644 + 493.091i 0.801298 + 0.672369i
\(15\) 1382.36 1159.94i 1.58632 1.33108i
\(16\) 44.4539 252.111i 0.0434120 0.246202i
\(17\) −931.877 + 339.176i −0.782053 + 0.284644i −0.702029 0.712149i \(-0.747722\pi\)
−0.0800247 + 0.996793i \(0.525500\pi\)
\(18\) 1079.48 0.785298
\(19\) −1314.04 865.679i −0.835073 0.550140i
\(20\) 1274.92 0.712701
\(21\) −4081.22 + 1485.44i −2.01949 + 0.735034i
\(22\) −248.860 + 1411.35i −0.109622 + 0.621698i
\(23\) 1025.79 860.740i 0.404333 0.339276i −0.417833 0.908524i \(-0.637210\pi\)
0.822166 + 0.569248i \(0.192766\pi\)
\(24\) 1110.29 + 931.647i 0.393468 + 0.330159i
\(25\) 559.891 + 3175.30i 0.179165 + 1.01610i
\(26\) 887.563 + 1537.30i 0.257493 + 0.445991i
\(27\) −304.264 + 527.001i −0.0803232 + 0.139124i
\(28\) −2883.41 1049.47i −0.695042 0.252974i
\(29\) 4769.55 + 1735.97i 1.05313 + 0.383308i 0.809844 0.586646i \(-0.199552\pi\)
0.243288 + 0.969954i \(0.421774\pi\)
\(30\) −3609.08 + 6251.11i −0.732138 + 1.26810i
\(31\) 3275.66 + 5673.61i 0.612202 + 1.06037i 0.990868 + 0.134832i \(0.0430495\pi\)
−0.378666 + 0.925533i \(0.623617\pi\)
\(32\) 177.816 + 1008.44i 0.0306970 + 0.174091i
\(33\) −6215.59 5215.50i −0.993568 0.833703i
\(34\) 3038.69 2549.77i 0.450806 0.378271i
\(35\) 2653.58 15049.2i 0.366153 2.07656i
\(36\) −4057.53 + 1476.82i −0.521801 + 0.189920i
\(37\) 13217.2 1.58721 0.793607 0.608430i \(-0.208201\pi\)
0.793607 + 0.608430i \(0.208201\pi\)
\(38\) 6123.49 + 1456.18i 0.687923 + 0.163590i
\(39\) −10050.2 −1.05806
\(40\) −4792.12 + 1744.19i −0.473563 + 0.172363i
\(41\) −1716.25 + 9733.34i −0.159449 + 0.904278i 0.795156 + 0.606404i \(0.207389\pi\)
−0.954605 + 0.297874i \(0.903722\pi\)
\(42\) 13308.2 11166.9i 1.16411 0.976806i
\(43\) 8638.67 + 7248.71i 0.712485 + 0.597846i 0.925295 0.379247i \(-0.123817\pi\)
−0.212810 + 0.977094i \(0.568262\pi\)
\(44\) −995.440 5645.42i −0.0775145 0.439607i
\(45\) −10752.0 18622.9i −0.791510 1.37094i
\(46\) −2678.15 + 4638.69i −0.186612 + 0.323222i
\(47\) −26465.9 9632.81i −1.74760 0.636075i −0.747983 0.663718i \(-0.768978\pi\)
−0.999618 + 0.0276428i \(0.991200\pi\)
\(48\) −5447.91 1982.88i −0.341292 0.124220i
\(49\) −9986.01 + 17296.3i −0.594157 + 1.02911i
\(50\) −6448.57 11169.2i −0.364786 0.631828i
\(51\) 3899.84 + 22117.1i 0.209953 + 1.19070i
\(52\) −5439.30 4564.12i −0.278955 0.234071i
\(53\) 23464.4 19689.0i 1.14741 0.962795i 0.147759 0.989023i \(-0.452794\pi\)
0.999656 + 0.0262282i \(0.00834966\pi\)
\(54\) 422.679 2397.13i 0.0197254 0.111868i
\(55\) 26827.0 9764.25i 1.19582 0.435243i
\(56\) 12273.8 0.523010
\(57\) −24474.4 + 25902.2i −0.997758 + 1.05596i
\(58\) −20302.6 −0.792468
\(59\) 38660.6 14071.3i 1.44590 0.526264i 0.504457 0.863437i \(-0.331693\pi\)
0.941443 + 0.337173i \(0.109471\pi\)
\(60\) 5013.68 28434.0i 0.179795 1.01967i
\(61\) −12291.7 + 10313.9i −0.422948 + 0.354895i −0.829283 0.558829i \(-0.811251\pi\)
0.406335 + 0.913724i \(0.366806\pi\)
\(62\) −20074.4 16844.4i −0.663230 0.556516i
\(63\) 8987.23 + 50969.1i 0.285282 + 1.61791i
\(64\) −2048.00 3547.24i −0.0625000 0.108253i
\(65\) 17680.8 30624.0i 0.519061 0.899040i
\(66\) 30498.2 + 11100.4i 0.861816 + 0.313675i
\(67\) −20837.7 7584.32i −0.567105 0.206409i 0.0425249 0.999095i \(-0.486460\pi\)
−0.609630 + 0.792686i \(0.708682\pi\)
\(68\) −7933.46 + 13741.2i −0.208061 + 0.360372i
\(69\) −15162.8 26262.7i −0.383403 0.664074i
\(70\) 10614.3 + 60196.9i 0.258909 + 1.46835i
\(71\) 12700.2 + 10656.8i 0.298996 + 0.250888i 0.779926 0.625871i \(-0.215256\pi\)
−0.480930 + 0.876759i \(0.659701\pi\)
\(72\) 13230.9 11102.0i 0.300786 0.252390i
\(73\) 1056.38 5991.02i 0.0232013 0.131581i −0.971007 0.239051i \(-0.923164\pi\)
0.994208 + 0.107470i \(0.0342748\pi\)
\(74\) −49680.5 + 18082.2i −1.05465 + 0.383860i
\(75\) 73019.2 1.49894
\(76\) −25009.0 + 2903.99i −0.496663 + 0.0576715i
\(77\) −68710.7 −1.32068
\(78\) 37776.3 13749.4i 0.703044 0.255887i
\(79\) −15722.6 + 89167.3i −0.283437 + 1.60745i 0.427378 + 0.904073i \(0.359437\pi\)
−0.710815 + 0.703379i \(0.751674\pi\)
\(80\) 15626.3 13112.0i 0.272980 0.229058i
\(81\) −39679.1 33294.7i −0.671970 0.563849i
\(82\) −6865.00 38933.4i −0.112747 0.639421i
\(83\) 50497.0 + 87463.3i 0.804582 + 1.39358i 0.916573 + 0.399867i \(0.130944\pi\)
−0.111991 + 0.993709i \(0.535723\pi\)
\(84\) −34745.1 + 60180.3i −0.537274 + 0.930586i
\(85\) −74254.2 27026.3i −1.11474 0.405732i
\(86\) −42387.6 15427.8i −0.618006 0.224936i
\(87\) 57473.2 99546.5i 0.814081 1.41003i
\(88\) 11465.0 + 19858.0i 0.157822 + 0.273356i
\(89\) 19091.4 + 108273.i 0.255484 + 1.44892i 0.794828 + 0.606834i \(0.207561\pi\)
−0.539345 + 0.842085i \(0.681328\pi\)
\(90\) 65891.9 + 55289.8i 0.857483 + 0.719514i
\(91\) −65196.3 + 54706.2i −0.825315 + 0.692521i
\(92\) 3720.45 21099.7i 0.0458274 0.259900i
\(93\) 139418. 50744.0i 1.67152 0.608383i
\(94\) 112658. 1.31505
\(95\) −35870.2 120145.i −0.407779 1.36583i
\(96\) 23190.2 0.256818
\(97\) 76849.7 27971.0i 0.829302 0.301841i 0.107730 0.994180i \(-0.465642\pi\)
0.721572 + 0.692339i \(0.243420\pi\)
\(98\) 13872.4 78674.4i 0.145911 0.827500i
\(99\) −74068.6 + 62150.9i −0.759532 + 0.637323i
\(100\) 39519.1 + 33160.5i 0.395191 + 0.331605i
\(101\) −20954.3 118838.i −0.204395 1.15918i −0.898389 0.439200i \(-0.855262\pi\)
0.693995 0.719980i \(-0.255849\pi\)
\(102\) −44916.6 77797.8i −0.427471 0.740401i
\(103\) −31036.1 + 53756.1i −0.288253 + 0.499269i −0.973393 0.229143i \(-0.926408\pi\)
0.685140 + 0.728412i \(0.259741\pi\)
\(104\) 26689.2 + 9714.06i 0.241964 + 0.0880679i
\(105\) −325201. 118364.i −2.87858 1.04772i
\(106\) −61261.3 + 106108.i −0.529568 + 0.917238i
\(107\) −8711.25 15088.3i −0.0735565 0.127404i 0.826901 0.562347i \(-0.190102\pi\)
−0.900458 + 0.434944i \(0.856768\pi\)
\(108\) 1690.72 + 9588.53i 0.0139480 + 0.0791029i
\(109\) −66671.1 55943.7i −0.537492 0.451009i 0.333187 0.942861i \(-0.391876\pi\)
−0.870679 + 0.491852i \(0.836320\pi\)
\(110\) −87478.4 + 73403.1i −0.689317 + 0.578406i
\(111\) 51977.3 294778.i 0.400412 2.27085i
\(112\) −46134.5 + 16791.6i −0.347521 + 0.126487i
\(113\) 3534.27 0.0260378 0.0130189 0.999915i \(-0.495856\pi\)
0.0130189 + 0.999915i \(0.495856\pi\)
\(114\) 56557.5 130843.i 0.407594 0.942951i
\(115\) 106701. 0.752354
\(116\) 76312.8 27775.6i 0.526566 0.191654i
\(117\) −20796.7 + 117944.i −0.140453 + 0.796547i
\(118\) −126066. + 105782.i −0.833472 + 0.699366i
\(119\) 145689. + 122248.i 0.943104 + 0.791358i
\(120\) 20054.7 + 113736.i 0.127134 + 0.721015i
\(121\) 16342.6 + 28306.2i 0.101475 + 0.175759i
\(122\) 32091.3 55583.8i 0.195204 0.338102i
\(123\) 210329. + 76553.7i 1.25354 + 0.456250i
\(124\) 98499.7 + 35851.0i 0.575282 + 0.209386i
\(125\) −3955.54 + 6851.20i −0.0226428 + 0.0392185i
\(126\) −103511. 179286.i −0.580844 1.00605i
\(127\) −39742.5 225391.i −0.218648 1.24001i −0.874463 0.485093i \(-0.838786\pi\)
0.655815 0.754922i \(-0.272325\pi\)
\(128\) 12550.9 + 10531.4i 0.0677094 + 0.0568149i
\(129\) 195637. 164159.i 1.03509 0.868541i
\(130\) −24561.9 + 139297.i −0.127469 + 0.722911i
\(131\) −20565.9 + 7485.36i −0.104705 + 0.0381096i −0.393842 0.919178i \(-0.628854\pi\)
0.289136 + 0.957288i \(0.406632\pi\)
\(132\) −129822. −0.648506
\(133\) −17774.2 + 301252.i −0.0871284 + 1.47673i
\(134\) 88700.2 0.426739
\(135\) −45564.7 + 16584.2i −0.215176 + 0.0783178i
\(136\) 11021.1 62503.5i 0.0510947 0.289772i
\(137\) −26070.3 + 21875.6i −0.118671 + 0.0995770i −0.700192 0.713955i \(-0.746902\pi\)
0.581521 + 0.813531i \(0.302458\pi\)
\(138\) 92922.9 + 77971.5i 0.415360 + 0.348529i
\(139\) 9758.28 + 55342.0i 0.0428387 + 0.242950i 0.998706 0.0508469i \(-0.0161920\pi\)
−0.955868 + 0.293797i \(0.905081\pi\)
\(140\) −122251. 211745.i −0.527148 0.913046i
\(141\) −318915. + 552377.i −1.35091 + 2.33985i
\(142\) −62316.6 22681.4i −0.259348 0.0943949i
\(143\) −149410. 54380.8i −0.610998 0.222385i
\(144\) −34543.4 + 59831.0i −0.138822 + 0.240447i
\(145\) 202220. + 350255.i 0.798737 + 1.38345i
\(146\) 4225.52 + 23964.1i 0.0164058 + 0.0930420i
\(147\) 346481. + 290732.i 1.32247 + 1.10969i
\(148\) 162000. 135934.i 0.607938 0.510121i
\(149\) 6710.59 38057.6i 0.0247625 0.140435i −0.969920 0.243424i \(-0.921729\pi\)
0.994683 + 0.102989i \(0.0328405\pi\)
\(150\) −274462. + 99896.1i −0.995989 + 0.362510i
\(151\) −177062. −0.631949 −0.315974 0.948768i \(-0.602331\pi\)
−0.315974 + 0.948768i \(0.602331\pi\)
\(152\) 90030.1 45129.7i 0.316067 0.158436i
\(153\) 267626. 0.924272
\(154\) 258268. 94001.8i 0.877544 0.319400i
\(155\) −90648.7 + 514095.i −0.303063 + 1.71875i
\(156\) −123182. + 103362.i −0.405262 + 0.340055i
\(157\) 26180.5 + 21968.1i 0.0847674 + 0.0711283i 0.684187 0.729307i \(-0.260157\pi\)
−0.599419 + 0.800435i \(0.704602\pi\)
\(158\) −62890.4 356669.i −0.200420 1.13664i
\(159\) −346841. 600746.i −1.08802 1.88451i
\(160\) −40797.4 + 70663.1i −0.125989 + 0.218219i
\(161\) −241318. 87832.7i −0.733712 0.267049i
\(162\) 194695. + 70863.1i 0.582863 + 0.212145i
\(163\) 75628.1 130992.i 0.222953 0.386167i −0.732750 0.680498i \(-0.761764\pi\)
0.955703 + 0.294331i \(0.0950969\pi\)
\(164\) 79067.9 + 136950.i 0.229557 + 0.397605i
\(165\) −112269. 636711.i −0.321034 1.82068i
\(166\) −309463. 259671.i −0.871644 0.731396i
\(167\) −189614. + 159105.i −0.526113 + 0.441461i −0.866757 0.498731i \(-0.833799\pi\)
0.340644 + 0.940192i \(0.389355\pi\)
\(168\) 48267.4 273738.i 0.131941 0.748277i
\(169\) 163836. 59631.5i 0.441259 0.160605i
\(170\) 316079. 0.838828
\(171\) 253331. + 340820.i 0.662519 + 0.891321i
\(172\) 180432. 0.465042
\(173\) 103832. 37791.8i 0.263764 0.0960024i −0.206753 0.978393i \(-0.566290\pi\)
0.470517 + 0.882391i \(0.344067\pi\)
\(174\) −79841.0 + 452801.i −0.199918 + 1.13379i
\(175\) 473682. 397467.i 1.16921 0.981082i
\(176\) −70261.7 58956.6i −0.170977 0.143466i
\(177\) −161792. 917567.i −0.388171 2.20143i
\(178\) −219886. 380854.i −0.520173 0.900966i
\(179\) 109065. 188906.i 0.254421 0.440670i −0.710317 0.703882i \(-0.751448\pi\)
0.964738 + 0.263212i \(0.0847818\pi\)
\(180\) −323313. 117676.i −0.743776 0.270712i
\(181\) −278971. 101537.i −0.632940 0.230371i 0.00557048 0.999984i \(-0.498227\pi\)
−0.638510 + 0.769613i \(0.720449\pi\)
\(182\) 170216. 294822.i 0.380909 0.659753i
\(183\) 181690. + 314696.i 0.401055 + 0.694647i
\(184\) 14881.8 + 84398.8i 0.0324049 + 0.183777i
\(185\) 806782. + 676971.i 1.73311 + 1.45425i
\(186\) −454618. + 381470.i −0.963529 + 0.808497i
\(187\) −61697.5 + 349904.i −0.129022 + 0.731720i
\(188\) −423455. + 154125.i −0.873801 + 0.318037i
\(189\) 116703. 0.237644
\(190\) 299196. + 402524.i 0.601272 + 0.808923i
\(191\) 108735. 0.215668 0.107834 0.994169i \(-0.465609\pi\)
0.107834 + 0.994169i \(0.465609\pi\)
\(192\) −87166.5 + 31726.0i −0.170646 + 0.0621101i
\(193\) 75288.6 426983.i 0.145491 0.825120i −0.821481 0.570236i \(-0.806852\pi\)
0.966972 0.254884i \(-0.0820373\pi\)
\(194\) −250594. + 210273.i −0.478042 + 0.401125i
\(195\) −613464. 514758.i −1.15532 0.969430i
\(196\) 55489.7 + 314697.i 0.103174 + 0.585131i
\(197\) 114130. + 197679.i 0.209524 + 0.362907i 0.951565 0.307448i \(-0.0994751\pi\)
−0.742040 + 0.670355i \(0.766142\pi\)
\(198\) 193379. 334943.i 0.350548 0.607167i
\(199\) −859649. 312887.i −1.53882 0.560086i −0.573060 0.819513i \(-0.694244\pi\)
−0.965763 + 0.259427i \(0.916466\pi\)
\(200\) −193909. 70577.3i −0.342787 0.124764i
\(201\) −251095. + 434910.i −0.438378 + 0.759293i
\(202\) 241342. + 418016.i 0.416154 + 0.720800i
\(203\) −169029. 958613.i −0.287887 1.63269i
\(204\) 275265. + 230975.i 0.463101 + 0.388588i
\(205\) −603291. + 506221.i −1.00263 + 0.841309i
\(206\) 43114.9 244517.i 0.0707879 0.401458i
\(207\) −339583. + 123598.i −0.550833 + 0.200487i
\(208\) −113608. −0.182075
\(209\) −504002. + 252643.i −0.798117 + 0.400075i
\(210\) 1.38429e6 2.16610
\(211\) −375763. + 136766.i −0.581042 + 0.211482i −0.615785 0.787914i \(-0.711161\pi\)
0.0347429 + 0.999396i \(0.488939\pi\)
\(212\) 85103.3 482645.i 0.130049 0.737544i
\(213\) 287618. 241340.i 0.434377 0.364485i
\(214\) 53385.6 + 44795.8i 0.0796874 + 0.0668657i
\(215\) 156036. + 884926.i 0.230213 + 1.30560i
\(216\) −19472.9 33728.0i −0.0283986 0.0491877i
\(217\) 628202. 1.08808e6i 0.905628 1.56859i
\(218\) 327137. + 119068.i 0.466217 + 0.169689i
\(219\) −129461. 47120.0i −0.182402 0.0663888i
\(220\) 228390. 395583.i 0.318141 0.551037i
\(221\) 220045. + 381130.i 0.303062 + 0.524919i
\(222\) 207909. + 1.17911e6i 0.283134 + 1.60573i
\(223\) 920960. + 772777.i 1.24016 + 1.04062i 0.997511 + 0.0705065i \(0.0224615\pi\)
0.242651 + 0.970114i \(0.421983\pi\)
\(224\) 150437. 126231.i 0.200324 0.168092i
\(225\) 151098. 856920.i 0.198977 1.12845i
\(226\) −13284.5 + 4835.17i −0.0173011 + 0.00629710i
\(227\) 172708. 0.222458 0.111229 0.993795i \(-0.464521\pi\)
0.111229 + 0.993795i \(0.464521\pi\)
\(228\) −33582.5 + 569185.i −0.0427834 + 0.725130i
\(229\) 106292. 0.133941 0.0669704 0.997755i \(-0.478667\pi\)
0.0669704 + 0.997755i \(0.478667\pi\)
\(230\) −401063. + 145975.i −0.499912 + 0.181953i
\(231\) −270208. + 1.53243e6i −0.333172 + 1.88951i
\(232\) −248843. + 208804.i −0.303533 + 0.254694i
\(233\) 387780. + 325386.i 0.467946 + 0.392653i 0.846045 0.533112i \(-0.178978\pi\)
−0.378099 + 0.925765i \(0.623422\pi\)
\(234\) −83186.9 471776.i −0.0993151 0.563244i
\(235\) −1.12210e6 1.94354e6i −1.32545 2.29575i
\(236\) 329134. 570076.i 0.384674 0.666274i
\(237\) 1.92683e6 + 701310.i 2.22830 + 0.811034i
\(238\) −714856. 260186.i −0.818043 0.297743i
\(239\) 381429. 660654.i 0.431935 0.748134i −0.565105 0.825019i \(-0.691164\pi\)
0.997040 + 0.0768854i \(0.0244976\pi\)
\(240\) −230981. 400071.i −0.258850 0.448341i
\(241\) 39291.1 + 222831.i 0.0435764 + 0.247134i 0.998813 0.0487087i \(-0.0155106\pi\)
−0.955237 + 0.295843i \(0.904399\pi\)
\(242\) −100153. 84038.6i −0.109933 0.0922445i
\(243\) −1.01188e6 + 849065.i −1.09929 + 0.922412i
\(244\) −44580.8 + 252830.i −0.0479372 + 0.271866i
\(245\) −1.49544e6 + 544297.i −1.59168 + 0.579323i
\(246\) −895312. −0.943271
\(247\) −277074. + 640998.i −0.288970 + 0.668520i
\(248\) −419285. −0.432892
\(249\) 2.14924e6 782260.i 2.19678 0.799563i
\(250\) 5494.98 31163.6i 0.00556053 0.0315353i
\(251\) −825060. + 692308.i −0.826611 + 0.693609i −0.954510 0.298178i \(-0.903621\pi\)
0.127899 + 0.991787i \(0.459177\pi\)
\(252\) 634351. + 532284.i 0.629257 + 0.528009i
\(253\) −83310.5 472477.i −0.0818273 0.464066i
\(254\) 457736. + 792821.i 0.445175 + 0.771065i
\(255\) −894765. + 1.54978e6i −0.861705 + 1.49252i
\(256\) −61583.7 22414.6i −0.0587308 0.0213763i
\(257\) −436783. 158976.i −0.412509 0.150141i 0.127425 0.991848i \(-0.459329\pi\)
−0.539934 + 0.841707i \(0.681551\pi\)
\(258\) −510772. + 884683.i −0.477725 + 0.827444i
\(259\) −1.26739e6 2.19518e6i −1.17398 2.03339i
\(260\) −98247.6 557190.i −0.0901339 0.511175i
\(261\) −1.04930e6 880470.i −0.953454 0.800043i
\(262\) 67061.8 56271.5i 0.0603562 0.0506449i
\(263\) 256528. 1.45484e6i 0.228689 1.29696i −0.626816 0.779167i \(-0.715642\pi\)
0.855505 0.517794i \(-0.173247\pi\)
\(264\) 487971. 177607.i 0.430908 0.156838i
\(265\) 2.44072e6 2.13503
\(266\) −345328. 1.15665e6i −0.299245 1.00230i
\(267\) 2.48984e6 2.13744
\(268\) −333404. + 121349.i −0.283553 + 0.103205i
\(269\) −107735. + 610993.i −0.0907767 + 0.514821i 0.905183 + 0.425022i \(0.139734\pi\)
−0.995960 + 0.0897988i \(0.971378\pi\)
\(270\) 148579. 124672.i 0.124036 0.104079i
\(271\) −1.15897e6 972490.i −0.958624 0.804381i 0.0221047 0.999756i \(-0.492963\pi\)
−0.980729 + 0.195375i \(0.937408\pi\)
\(272\) 44084.2 + 250014.i 0.0361294 + 0.204900i
\(273\) 963703. + 1.66918e6i 0.782594 + 1.35549i
\(274\) 68064.8 117892.i 0.0547705 0.0948652i
\(275\) 1.08553e6 + 395102.i 0.865589 + 0.315049i
\(276\) −455947. 165951.i −0.360281 0.131132i
\(277\) −1.11990e6 + 1.93973e6i −0.876961 + 1.51894i −0.0223014 + 0.999751i \(0.507099\pi\)
−0.854659 + 0.519189i \(0.826234\pi\)
\(278\) −112391. 194668.i −0.0872210 0.151071i
\(279\) −307012. 1.74115e6i −0.236126 1.33914i
\(280\) 749197. + 628651.i 0.571086 + 0.479198i
\(281\) −321570. + 269830.i −0.242946 + 0.203856i −0.756128 0.654424i \(-0.772911\pi\)
0.513182 + 0.858280i \(0.328467\pi\)
\(282\) 443032. 2.51256e6i 0.331751 1.88145i
\(283\) 1.14526e6 416839.i 0.850034 0.309387i 0.119980 0.992776i \(-0.461717\pi\)
0.730054 + 0.683389i \(0.239495\pi\)
\(284\) 265264. 0.195156
\(285\) −2.82060e6 + 327523.i −2.05698 + 0.238852i
\(286\) 635995. 0.459768
\(287\) 1.78113e6 648279.i 1.27641 0.464577i
\(288\) 47987.2 272149.i 0.0340914 0.193342i
\(289\) −334318. + 280527.i −0.235459 + 0.197574i
\(290\) −1.23928e6 1.03988e6i −0.865312 0.726083i
\(291\) −321611. 1.82394e6i −0.222637 1.26264i
\(292\) −48667.6 84294.7i −0.0334028 0.0578553i
\(293\) −357057. + 618440.i −0.242979 + 0.420851i −0.961561 0.274590i \(-0.911458\pi\)
0.718583 + 0.695442i \(0.244791\pi\)
\(294\) −1.70009e6 618782.i −1.14710 0.417512i
\(295\) 3.08057e6 + 1.12123e6i 2.06099 + 0.750138i
\(296\) −422951. + 732572.i −0.280583 + 0.485983i
\(297\) 109012. + 188815.i 0.0717107 + 0.124207i
\(298\) 26842.4 + 152231.i 0.0175098 + 0.0993027i
\(299\) −455227. 381981.i −0.294476 0.247095i
\(300\) 894975. 750973.i 0.574127 0.481750i
\(301\) 375546. 2.12983e6i 0.238917 1.35497i
\(302\) 665534. 242235.i 0.419907 0.152834i
\(303\) −2.73279e6 −1.71002
\(304\) −276661. + 292801.i −0.171698 + 0.181714i
\(305\) −1.27856e6 −0.786991
\(306\) −1.00594e6 + 366134.i −0.614145 + 0.223530i
\(307\) 44201.7 250680.i 0.0267666 0.151801i −0.968495 0.249032i \(-0.919888\pi\)
0.995262 + 0.0972313i \(0.0309987\pi\)
\(308\) −842168. + 706663.i −0.505850 + 0.424459i
\(309\) 1.07685e6 + 903583.i 0.641591 + 0.538359i
\(310\) −362595. 2.05638e6i −0.214298 1.21534i
\(311\) 1.19733e6 + 2.07384e6i 0.701962 + 1.21583i 0.967777 + 0.251810i \(0.0810259\pi\)
−0.265814 + 0.964024i \(0.585641\pi\)
\(312\) 321605. 557037.i 0.187041 0.323964i
\(313\) −533112. 194037.i −0.307580 0.111950i 0.183619 0.982998i \(-0.441219\pi\)
−0.491199 + 0.871048i \(0.663441\pi\)
\(314\) −128461. 46755.8i −0.0735268 0.0267616i
\(315\) −2.06200e6 + 3.57148e6i −1.17088 + 2.02802i
\(316\) 724343. + 1.25460e6i 0.408062 + 0.706785i
\(317\) 204710. + 1.16097e6i 0.114417 + 0.648890i 0.987037 + 0.160491i \(0.0513078\pi\)
−0.872620 + 0.488399i \(0.837581\pi\)
\(318\) 2.12556e6 + 1.78356e6i 1.17871 + 0.989053i
\(319\) 1.39306e6 1.16892e6i 0.766467 0.643142i
\(320\) 56675.1 321421.i 0.0309398 0.175468i
\(321\) −370766. + 134948.i −0.200834 + 0.0730976i
\(322\) 1.02722e6 0.552109
\(323\) 1.51814e6 + 361017.i 0.809665 + 0.192540i
\(324\) −828759. −0.438597
\(325\) 1.34458e6 489389.i 0.706122 0.257007i
\(326\) −105061. + 595833.i −0.0547519 + 0.310514i
\(327\) −1.50988e6 + 1.26694e6i −0.780859 + 0.655218i
\(328\) −484556. 406591.i −0.248691 0.208676i
\(329\) 937932. + 5.31928e6i 0.477729 + 2.70934i
\(330\) 1.29307e6 + 2.23966e6i 0.653636 + 1.13213i
\(331\) 334035. 578565.i 0.167580 0.290257i −0.769989 0.638058i \(-0.779738\pi\)
0.937568 + 0.347801i \(0.113071\pi\)
\(332\) 1.51845e6 + 552671.i 0.756060 + 0.275183i
\(333\) −3.35182e6 1.21996e6i −1.65642 0.602888i
\(334\) 495046. 857446.i 0.242817 0.420572i
\(335\) −883481. 1.53023e6i −0.430116 0.744982i
\(336\) 193070. + 1.09495e6i 0.0932966 + 0.529111i
\(337\) −2.14247e6 1.79774e6i −1.02764 0.862289i −0.0370687 0.999313i \(-0.511802\pi\)
−0.990568 + 0.137023i \(0.956246\pi\)
\(338\) −534242. + 448283.i −0.254359 + 0.213432i
\(339\) 13898.7 78823.4i 0.00656863 0.0372525i
\(340\) −1.18807e6 + 432421.i −0.557370 + 0.202866i
\(341\) 2.34722e6 1.09312
\(342\) −1.41848e6 934485.i −0.655781 0.432023i
\(343\) 606981. 0.278574
\(344\) −678202. + 246845.i −0.309003 + 0.112468i
\(345\) 419605. 2.37970e6i 0.189799 1.07640i
\(346\) −338579. + 284101.i −0.152044 + 0.127580i
\(347\) 1.12598e6 + 944812.i 0.502005 + 0.421233i 0.858306 0.513139i \(-0.171517\pi\)
−0.356300 + 0.934372i \(0.615962\pi\)
\(348\) −319364. 1.81120e6i −0.141364 0.801713i
\(349\) −1.46969e6 2.54558e6i −0.645897 1.11873i −0.984094 0.177651i \(-0.943150\pi\)
0.338196 0.941076i \(-0.390183\pi\)
\(350\) −1.23670e6 + 2.14202e6i −0.539626 + 0.934660i
\(351\) 253767. + 92363.7i 0.109943 + 0.0400160i
\(352\) 344755. + 125481.i 0.148304 + 0.0539784i
\(353\) 1.22038e6 2.11375e6i 0.521263 0.902854i −0.478431 0.878125i \(-0.658794\pi\)
0.999694 0.0247289i \(-0.00787226\pi\)
\(354\) 1.86344e6 + 3.22758e6i 0.790329 + 1.36889i
\(355\) 229398. + 1.30098e6i 0.0966094 + 0.547899i
\(356\) 1.34754e6 + 1.13072e6i 0.563530 + 0.472857i
\(357\) 3.29937e6 2.76850e6i 1.37013 1.14967i
\(358\) −151512. + 859265.i −0.0624796 + 0.354339i
\(359\) −514956. + 187429.i −0.210880 + 0.0767539i −0.445300 0.895381i \(-0.646903\pi\)
0.234420 + 0.972135i \(0.424681\pi\)
\(360\) 1.37625e6 0.559682
\(361\) 977298. + 2.27507e6i 0.394693 + 0.918813i
\(362\) 1.18750e6 0.476279
\(363\) 695570. 253167.i 0.277060 0.100842i
\(364\) −236461. + 1.34104e6i −0.0935419 + 0.530502i
\(365\) 371335. 311587.i 0.145893 0.122419i
\(366\) −1.11346e6 934305.i −0.434483 0.364574i
\(367\) 627077. + 3.55633e6i 0.243028 + 1.37828i 0.825029 + 0.565091i \(0.191159\pi\)
−0.582001 + 0.813188i \(0.697730\pi\)
\(368\) −171402. 296876.i −0.0659774 0.114276i
\(369\) 1.33363e6 2.30992e6i 0.509882 0.883142i
\(370\) −3.95866e6 1.44083e6i −1.50329 0.547154i
\(371\) −5.52004e6 2.00913e6i −2.08213 0.757832i
\(372\) 1.18692e6 2.05581e6i 0.444699 0.770241i
\(373\) 251070. + 434865.i 0.0934377 + 0.161839i 0.908956 0.416893i \(-0.136881\pi\)
−0.815518 + 0.578732i \(0.803548\pi\)
\(374\) −246790. 1.39962e6i −0.0912323 0.517404i
\(375\) 137244. + 115161.i 0.0503983 + 0.0422892i
\(376\) 1.38081e6 1.15864e6i 0.503692 0.422648i
\(377\) 391139. 2.21826e6i 0.141735 0.803820i
\(378\) −438658. + 159659.i −0.157905 + 0.0574729i
\(379\) 240568. 0.0860278 0.0430139 0.999074i \(-0.486304\pi\)
0.0430139 + 0.999074i \(0.486304\pi\)
\(380\) −1.67529e6 1.10367e6i −0.595157 0.392085i
\(381\) −5.18309e6 −1.82926
\(382\) −408709. + 148758.i −0.143303 + 0.0521581i
\(383\) 447924. 2.54031e6i 0.156030 0.884889i −0.801808 0.597581i \(-0.796129\pi\)
0.957838 0.287308i \(-0.0927603\pi\)
\(384\) 284235. 238502.i 0.0983671 0.0825398i
\(385\) −4.19412e6 3.51929e6i −1.44208 1.21005i
\(386\) 301154. + 1.70793e6i 0.102878 + 0.583448i
\(387\) −1.52166e6 2.63560e6i −0.516465 0.894544i
\(388\) 654254. 1.13320e6i 0.220631 0.382144i
\(389\) −247418. 90052.8i −0.0829005 0.0301733i 0.300237 0.953865i \(-0.402934\pi\)
−0.383138 + 0.923691i \(0.625156\pi\)
\(390\) 3.01010e6 + 1.09559e6i 1.00212 + 0.364742i
\(391\) −663969. + 1.15003e6i −0.219637 + 0.380423i
\(392\) −639104. 1.10696e6i −0.210066 0.363846i
\(393\) 86066.7 + 488109.i 0.0281096 + 0.159417i
\(394\) −699430. 586892.i −0.226988 0.190466i
\(395\) −5.52676e6 + 4.63750e6i −1.78229 + 1.49552i
\(396\) −268640. + 1.52353e6i −0.0860860 + 0.488218i
\(397\) −2.90073e6 + 1.05578e6i −0.923700 + 0.336199i −0.759710 0.650262i \(-0.774659\pi\)
−0.163991 + 0.986462i \(0.552437\pi\)
\(398\) 3.65928e6 1.15794
\(399\) 6.64879e6 + 1.58110e6i 2.09079 + 0.497194i
\(400\) 825416. 0.257943
\(401\) 1.56984e6 571374.i 0.487521 0.177443i −0.0865516 0.996247i \(-0.527585\pi\)
0.574073 + 0.818804i \(0.305363\pi\)
\(402\) 348818. 1.97825e6i 0.107655 0.610541i
\(403\) 2.22717e6 1.86881e6i 0.683109 0.573196i
\(404\) −1.47903e6 1.24105e6i −0.450841 0.378300i
\(405\) −716706. 4.06464e6i −0.217122 1.23136i
\(406\) 1.94680e6 + 3.37196e6i 0.586147 + 1.01524i
\(407\) 2.36774e6 4.10105e6i 0.708514 1.22718i
\(408\) −1.35065e6 491596.i −0.401691 0.146204i
\(409\) 5.74377e6 + 2.09056e6i 1.69781 + 0.617952i 0.995573 0.0939913i \(-0.0299626\pi\)
0.702237 + 0.711944i \(0.252185\pi\)
\(410\) 1.57508e6 2.72812e6i 0.462746 0.801500i
\(411\) 385360. + 667463.i 0.112528 + 0.194905i
\(412\) 172459. + 978066.i 0.0500546 + 0.283874i
\(413\) −6.04417e6 5.07166e6i −1.74366 1.46310i
\(414\) 1.10732e6 929154.i 0.317522 0.266432i
\(415\) −1.39742e6 + 7.92518e6i −0.398298 + 2.25886i
\(416\) 427027. 155425.i 0.120982 0.0440339i
\(417\) 1.27264e6 0.358399
\(418\) 1.54879e6 1.63914e6i 0.433563 0.458855i
\(419\) 1.09637e6 0.305087 0.152543 0.988297i \(-0.451254\pi\)
0.152543 + 0.988297i \(0.451254\pi\)
\(420\) −5.20322e6 + 1.89382e6i −1.43929 + 0.523859i
\(421\) −941745. + 5.34090e6i −0.258957 + 1.46862i 0.526749 + 0.850021i \(0.323411\pi\)
−0.785706 + 0.618600i \(0.787700\pi\)
\(422\) 1.22530e6 1.02815e6i 0.334935 0.281044i
\(423\) 5.82252e6 + 4.88567e6i 1.58219 + 1.32762i
\(424\) 340413. + 1.93058e6i 0.0919585 + 0.521522i
\(425\) −1.59873e6 2.76909e6i −0.429342 0.743643i
\(426\) −750916. + 1.30063e6i −0.200478 + 0.347239i
\(427\) 2.89163e6 + 1.05247e6i 0.767491 + 0.279344i
\(428\) −261949. 95341.5i −0.0691205 0.0251578i
\(429\) −1.80039e6 + 3.11838e6i −0.472307 + 0.818060i
\(430\) −1.79715e6 3.11276e6i −0.468721 0.811848i
\(431\) −948331. 5.37825e6i −0.245905 1.39459i −0.818382 0.574674i \(-0.805129\pi\)
0.572478 0.819920i \(-0.305982\pi\)
\(432\) 119337. + 100136.i 0.0307656 + 0.0258154i
\(433\) −3.97309e6 + 3.33382e6i −1.01838 + 0.854520i −0.989423 0.145061i \(-0.953662\pi\)
−0.0289545 + 0.999581i \(0.509218\pi\)
\(434\) −872689. + 4.94926e6i −0.222400 + 1.26129i
\(435\) 8.60684e6 3.13263e6i 2.18082 0.793755i
\(436\) −1.39253e6 −0.350823
\(437\) −2.09305e6 + 243041.i −0.524296 + 0.0608802i
\(438\) 551079. 0.137255
\(439\) 403165. 146740.i 0.0998440 0.0363402i −0.291615 0.956536i \(-0.594193\pi\)
0.391459 + 0.920195i \(0.371970\pi\)
\(440\) −317276. + 1.79936e6i −0.0781278 + 0.443085i
\(441\) 4.12887e6 3.46453e6i 1.01096 0.848298i
\(442\) −1.34852e6 1.13154e6i −0.328322 0.275495i
\(443\) 607314. + 3.44425e6i 0.147029 + 0.833845i 0.965715 + 0.259603i \(0.0835918\pi\)
−0.818686 + 0.574241i \(0.805297\pi\)
\(444\) −2.39460e6 4.14758e6i −0.576470 0.998475i
\(445\) −4.38026e6 + 7.58684e6i −1.04858 + 1.81619i
\(446\) −4.51890e6 1.64474e6i −1.07571 0.391527i
\(447\) −822394. 299327.i −0.194676 0.0708561i
\(448\) −392762. + 680285.i −0.0924560 + 0.160138i
\(449\) 1.43337e6 + 2.48267e6i 0.335538 + 0.581169i 0.983588 0.180429i \(-0.0577486\pi\)
−0.648050 + 0.761598i \(0.724415\pi\)
\(450\) 604392. + 3.42768e6i 0.140698 + 0.797937i
\(451\) 2.71262e6 + 2.27616e6i 0.627983 + 0.526940i
\(452\) 43318.5 36348.6i 0.00997304 0.00836838i
\(453\) −696303. + 3.94893e6i −0.159424 + 0.904137i
\(454\) −649169. + 236278.i −0.147815 + 0.0538002i
\(455\) −6.78159e6 −1.53569
\(456\) −652462. 2.18538e6i −0.146941 0.492169i
\(457\) −6.29130e6 −1.40913 −0.704563 0.709642i \(-0.748857\pi\)
−0.704563 + 0.709642i \(0.748857\pi\)
\(458\) −399528. + 145416.i −0.0889988 + 0.0323929i
\(459\) 104791. 594299.i 0.0232162 0.131666i
\(460\) 1.30780e6 1.09737e6i 0.288168 0.241802i
\(461\) 3.44020e6 + 2.88667e6i 0.753932 + 0.632624i 0.936539 0.350562i \(-0.114009\pi\)
−0.182608 + 0.983186i \(0.558454\pi\)
\(462\) −1.08083e6 6.12971e6i −0.235588 1.33609i
\(463\) −3.03377e6 5.25464e6i −0.657703 1.13917i −0.981209 0.192949i \(-0.938195\pi\)
0.323506 0.946226i \(-0.395138\pi\)
\(464\) 649683. 1.12528e6i 0.140090 0.242643i
\(465\) 1.11092e7 + 4.04340e6i 2.38259 + 0.867191i
\(466\) −1.90273e6 692537.i −0.405894 0.147733i
\(467\) 3.44274e6 5.96301e6i 0.730487 1.26524i −0.226189 0.974084i \(-0.572627\pi\)
0.956675 0.291157i \(-0.0940401\pi\)
\(468\) 958109. + 1.65949e6i 0.202209 + 0.350236i
\(469\) 738474. + 4.18809e6i 0.155025 + 0.879193i
\(470\) 6.87666e6 + 5.77020e6i 1.43593 + 1.20489i
\(471\) 592901. 497503.i 0.123149 0.103334i
\(472\) −457228. + 2.59307e6i −0.0944664 + 0.535746i
\(473\) 3.79668e6 1.38188e6i 0.780280 0.283999i
\(474\) −8.20197e6 −1.67677
\(475\) 2.01307e6 4.65715e6i 0.409379 0.947079i
\(476\) 3.04294e6 0.615567
\(477\) −7.76779e6 + 2.82724e6i −1.56315 + 0.568941i
\(478\) −529875. + 3.00507e6i −0.106073 + 0.601569i
\(479\) 4.68409e6 3.93041e6i 0.932795 0.782708i −0.0435223 0.999052i \(-0.513858\pi\)
0.976317 + 0.216345i \(0.0694135\pi\)
\(480\) 1.41553e6 + 1.18777e6i 0.280425 + 0.235305i
\(481\) −1.01854e6 5.77644e6i −0.200732 1.13841i
\(482\) −452537. 783817.i −0.0887230 0.153673i
\(483\) −2.90789e6 + 5.03662e6i −0.567167 + 0.982362i
\(484\) 491425. + 178864.i 0.0953550 + 0.0347064i
\(485\) 6.12356e6 + 2.22880e6i 1.18209 + 0.430245i
\(486\) 2.64182e6 4.57577e6i 0.507356 0.878766i
\(487\) 960698. + 1.66398e6i 0.183554 + 0.317925i 0.943088 0.332542i \(-0.107906\pi\)
−0.759534 + 0.650467i \(0.774573\pi\)
\(488\) −178323. 1.01132e6i −0.0338967 0.192238i
\(489\) −2.62404e6 2.20183e6i −0.496248 0.416402i
\(490\) 4.87639e6 4.09177e6i 0.917504 0.769877i
\(491\) −743618. + 4.21727e6i −0.139202 + 0.789455i 0.832639 + 0.553817i \(0.186829\pi\)
−0.971841 + 0.235638i \(0.924282\pi\)
\(492\) 3.36527e6 1.22486e6i 0.626769 0.228125i
\(493\) −5.03344e6 −0.932711
\(494\) 164520. 2.78842e6i 0.0303320 0.514092i
\(495\) −7.70447e6 −1.41328
\(496\) 1.57600e6 573615.i 0.287641 0.104693i
\(497\) 552113. 3.13119e6i 0.100262 0.568615i
\(498\) −7.00831e6 + 5.88067e6i −1.26631 + 1.06256i
\(499\) 5.64702e6 + 4.73842e6i 1.01524 + 0.851887i 0.989022 0.147770i \(-0.0472094\pi\)
0.0262172 + 0.999656i \(0.491654\pi\)
\(500\) 21979.9 + 124654.i 0.00393189 + 0.0222988i
\(501\) 2.80279e6 + 4.85457e6i 0.498879 + 0.864084i
\(502\) 2.15408e6 3.73098e6i 0.381507 0.660789i
\(503\) −6.64082e6 2.41706e6i −1.17031 0.425959i −0.317541 0.948244i \(-0.602857\pi\)
−0.852771 + 0.522286i \(0.825079\pi\)
\(504\) −3.11259e6 1.13289e6i −0.545814 0.198660i
\(505\) 4.80768e6 8.32714e6i 0.838893 1.45301i
\(506\) 959532. + 1.66196e6i 0.166603 + 0.288565i
\(507\) −685644. 3.88848e6i −0.118462 0.671831i
\(508\) −2.80517e6 2.35381e6i −0.482280 0.404681i
\(509\) 6.80116e6 5.70685e6i 1.16356 0.976342i 0.163611 0.986525i \(-0.447686\pi\)
0.999948 + 0.0101833i \(0.00324151\pi\)
\(510\) 1.24299e6 7.04937e6i 0.211614 1.20012i
\(511\) −1.09632e6 + 399026.i −0.185731 + 0.0676004i
\(512\) 262144. 0.0441942
\(513\) 856028. 429105.i 0.143613 0.0719896i
\(514\) 1.85926e6 0.310408
\(515\) −4.64777e6 + 1.69165e6i −0.772195 + 0.281056i
\(516\) 709557. 4.02410e6i 0.117318 0.665341i
\(517\) −7.73000e6 + 6.48624e6i −1.27190 + 1.06725i
\(518\) 7.76701e6 + 6.51730e6i 1.27183 + 1.06719i
\(519\) −434530. 2.46434e6i −0.0708111 0.401590i
\(520\) 1.13157e6 + 1.95994e6i 0.183516 + 0.317858i
\(521\) −2.36611e6 + 4.09823e6i −0.381893 + 0.661458i −0.991333 0.131374i \(-0.958061\pi\)
0.609440 + 0.792832i \(0.291394\pi\)
\(522\) 5.14864e6 + 1.87395e6i 0.827021 + 0.301011i
\(523\) 1.69909e6 + 618419.i 0.271621 + 0.0988618i 0.474240 0.880396i \(-0.342723\pi\)
−0.202619 + 0.979258i \(0.564945\pi\)
\(524\) −175086. + 303258.i −0.0278563 + 0.0482485i
\(525\) −7.00176e6 1.21274e7i −1.10869 1.92030i
\(526\) 1.02611e6 + 5.81937e6i 0.161708 + 0.917090i
\(527\) −4.97687e6 4.17609e6i −0.780602 0.655003i
\(528\) −1.59119e6 + 1.33517e6i −0.248392 + 0.208426i
\(529\) −806287. + 4.57268e6i −0.125271 + 0.710447i
\(530\) −9.17412e6 + 3.33911e6i −1.41865 + 0.516346i
\(531\) −1.11029e7 −1.70884
\(532\) 2.88040e6 + 3.87515e6i 0.441239 + 0.593622i
\(533\) 4.38611e6 0.668747
\(534\) −9.35874e6 + 3.40630e6i −1.42025 + 0.516928i
\(535\) 241070. 1.36717e6i 0.0364132 0.206509i
\(536\) 1.08717e6 912247.i 0.163451 0.137151i
\(537\) −3.78420e6 3.17532e6i −0.566289 0.475173i
\(538\) −430939. 2.44397e6i −0.0641889 0.364033i
\(539\) 3.57780e6 + 6.19694e6i 0.530450 + 0.918767i
\(540\) −387912. + 671883.i −0.0572464 + 0.0991538i
\(541\) −1.09494e6 398525.i −0.160841 0.0585413i 0.260345 0.965516i \(-0.416164\pi\)
−0.421186 + 0.906974i \(0.638386\pi\)
\(542\) 5.68674e6 + 2.06980e6i 0.831506 + 0.302643i
\(543\) −3.36161e6 + 5.82247e6i −0.489269 + 0.847438i
\(544\) −507742. 879434.i −0.0735607 0.127411i
\(545\) −1.20425e6 6.82964e6i −0.173670 0.984933i
\(546\) −5.90591e6 4.95565e6i −0.847824 0.711408i
\(547\) −3.15253e6 + 2.64529e6i −0.450496 + 0.378011i −0.839620 0.543174i \(-0.817222\pi\)
0.389124 + 0.921185i \(0.372778\pi\)
\(548\) −94554.7 + 536246.i −0.0134503 + 0.0762804i
\(549\) 4.06910e6 1.48103e6i 0.576193 0.209717i
\(550\) −4.62081e6 −0.651345
\(551\) −4.76458e6 6.41004e6i −0.668568 0.899460i
\(552\) 1.94083e6 0.271107
\(553\) 1.63170e7 5.93890e6i 2.26896 0.825835i
\(554\) 1.55575e6 8.82310e6i 0.215360 1.22137i
\(555\) 1.82709e7 1.53311e7i 2.51784 2.11272i
\(556\) 688775. + 577951.i 0.0944909 + 0.0792873i
\(557\) 1.54674e6 + 8.77202e6i 0.211242 + 1.19801i 0.887310 + 0.461174i \(0.152571\pi\)
−0.676068 + 0.736839i \(0.736317\pi\)
\(558\) 3.53602e6 + 6.12457e6i 0.480761 + 0.832702i
\(559\) 2.50226e6 4.33404e6i 0.338690 0.586629i
\(560\) −3.67611e6 1.33799e6i −0.495357 0.180295i
\(561\) 7.56114e6 + 2.75203e6i 1.01433 + 0.369187i
\(562\) 839561. 1.45416e6i 0.112127 0.194210i
\(563\) −2.27735e6 3.94448e6i −0.302801 0.524467i 0.673968 0.738761i \(-0.264589\pi\)
−0.976769 + 0.214293i \(0.931255\pi\)
\(564\) 1.77213e6 + 1.00502e7i 0.234584 + 1.33039i
\(565\) 215733. + 181021.i 0.0284312 + 0.0238566i
\(566\) −3.73448e6 + 3.13360e6i −0.489993 + 0.411153i
\(567\) −1.72496e6 + 9.78272e6i −0.225331 + 1.27792i
\(568\) −997065. + 362902.i −0.129674 + 0.0471974i
\(569\) 6.90310e6 0.893848 0.446924 0.894572i \(-0.352519\pi\)
0.446924 + 0.894572i \(0.352519\pi\)
\(570\) 1.01539e7 5.08989e6i 1.30902 0.656178i
\(571\) −3.20907e6 −0.411897 −0.205949 0.978563i \(-0.566028\pi\)
−0.205949 + 0.978563i \(0.566028\pi\)
\(572\) −2.39056e6 + 870093.i −0.305499 + 0.111192i
\(573\) 427605. 2.42507e6i 0.0544071 0.308558i
\(574\) −5.80797e6 + 4.87347e6i −0.735774 + 0.617388i
\(575\) 3.30744e6 + 2.77527e6i 0.417179 + 0.350055i
\(576\) 191949. + 1.08860e6i 0.0241062 + 0.136713i
\(577\) 3.09882e6 + 5.36731e6i 0.387487 + 0.671147i 0.992111 0.125364i \(-0.0400100\pi\)
−0.604624 + 0.796511i \(0.706677\pi\)
\(578\) 872844. 1.51181e6i 0.108672 0.188225i
\(579\) −9.22675e6 3.35826e6i −1.14381 0.416311i
\(580\) 6.08079e6 + 2.21323e6i 0.750568 + 0.273184i
\(581\) 9.68424e6 1.67736e7i 1.19021 2.06151i
\(582\) 3.70416e6 + 6.41580e6i 0.453297 + 0.785133i
\(583\) −1.90568e6 1.08077e7i −0.232209 1.31692i
\(584\) 298252. + 250263.i 0.0361869 + 0.0303644i
\(585\) −7.31040e6 + 6.13415e6i −0.883184 + 0.741080i
\(586\) 496018. 2.81306e6i 0.0596696 0.338403i
\(587\) −9.93922e6 + 3.61758e6i −1.19058 + 0.433334i −0.859926 0.510419i \(-0.829490\pi\)
−0.330650 + 0.943753i \(0.607268\pi\)
\(588\) 7.23678e6 0.863182
\(589\) 607181. 1.02910e7i 0.0721157 1.22228i
\(590\) −1.31131e7 −1.55087
\(591\) 4.85758e6 1.76801e6i 0.572073 0.208218i
\(592\) 587557. 3.33220e6i 0.0689042 0.390775i
\(593\) −7.46430e6 + 6.26329e6i −0.871670 + 0.731418i −0.964449 0.264269i \(-0.914869\pi\)
0.0927789 + 0.995687i \(0.470425\pi\)
\(594\) −668066. 560574.i −0.0776879 0.0651879i
\(595\) 2.63151e6 + 1.49240e7i 0.304728 + 1.72820i
\(596\) −309158. 535477.i −0.0356504 0.0617484i
\(597\) −1.03588e7 + 1.79420e7i −1.18953 + 2.06032i
\(598\) 2.23367e6 + 812991.i 0.255427 + 0.0929678i
\(599\) −9.15263e6 3.33128e6i −1.04227 0.379354i −0.236528 0.971625i \(-0.576009\pi\)
−0.805739 + 0.592271i \(0.798232\pi\)
\(600\) −2.33661e6 + 4.04713e6i −0.264977 + 0.458954i
\(601\) 1.80256e6 + 3.12213e6i 0.203565 + 0.352586i 0.949675 0.313238i \(-0.101414\pi\)
−0.746109 + 0.665823i \(0.768080\pi\)
\(602\) 1.50218e6 + 8.51931e6i 0.168940 + 0.958106i
\(603\) 4.58431e6 + 3.84670e6i 0.513430 + 0.430819i
\(604\) −2.17019e6 + 1.82101e6i −0.242051 + 0.203104i
\(605\) −452255. + 2.56487e6i −0.0502337 + 0.284890i
\(606\) 1.02719e7 3.73868e6i 1.13624 0.413558i
\(607\) −1.80180e6 −0.198488 −0.0992441 0.995063i \(-0.531642\pi\)
−0.0992441 + 0.995063i \(0.531642\pi\)
\(608\) 639331. 1.47907e6i 0.0701402 0.162266i
\(609\) −2.20443e7 −2.40853
\(610\) 4.80580e6 1.74917e6i 0.522927 0.190330i
\(611\) −2.17040e6 + 1.23090e7i −0.235200 + 1.33389i
\(612\) 3.28022e6 2.75243e6i 0.354017 0.297055i
\(613\) −5.59640e6 4.69593e6i −0.601530 0.504744i 0.290407 0.956903i \(-0.406209\pi\)
−0.891937 + 0.452160i \(0.850654\pi\)
\(614\) 176807. + 1.00272e6i 0.0189268 + 0.107339i
\(615\) 8.91757e6 + 1.54457e7i 0.950734 + 1.64672i
\(616\) 2.19874e6 3.80834e6i 0.233466 0.404374i
\(617\) 1.26014e7 + 4.58654e6i 1.33262 + 0.485034i 0.907481 0.420094i \(-0.138003\pi\)
0.425140 + 0.905128i \(0.360225\pi\)
\(618\) −5.28380e6 1.92315e6i −0.556513 0.202554i
\(619\) −8.87993e6 + 1.53805e7i −0.931500 + 1.61341i −0.150741 + 0.988573i \(0.548166\pi\)
−0.780759 + 0.624832i \(0.785167\pi\)
\(620\) 4.17620e6 + 7.23339e6i 0.436317 + 0.755724i
\(621\) 141500. + 802485.i 0.0147240 + 0.0835041i
\(622\) −7.33768e6 6.15705e6i −0.760471 0.638111i
\(623\) 1.61518e7 1.35530e7i 1.66725 1.39899i
\(624\) −446769. + 2.53375e6i −0.0459327 + 0.260497i
\(625\) 8.87588e6 3.23055e6i 0.908890 0.330809i
\(626\) 2.26931e6 0.231450
\(627\) 3.65258e6 + 1.22341e7i 0.371049 + 1.24280i
\(628\) 546820. 0.0553280
\(629\) −1.23168e7 + 4.48296e6i −1.24129 + 0.451791i
\(630\) 2.86450e6 1.62454e7i 0.287539 1.63071i
\(631\) −2.33386e6 + 1.95834e6i −0.233347 + 0.195801i −0.751962 0.659207i \(-0.770892\pi\)
0.518615 + 0.855008i \(0.326448\pi\)
\(632\) −4.43903e6 3.72479e6i −0.442075 0.370945i
\(633\) 1.57254e6 + 8.91832e6i 0.155989 + 0.884655i
\(634\) −2.35775e6 4.08374e6i −0.232956 0.403492i
\(635\) 9.11837e6 1.57935e7i 0.897393 1.55433i
\(636\) −1.04296e7 3.79605e6i −1.02241 0.372125i
\(637\) 8.32869e6 + 3.03140e6i 0.813258 + 0.296002i
\(638\) −3.63702e6 + 6.29951e6i −0.353748 + 0.612710i
\(639\) −2.23709e6 3.87475e6i −0.216736 0.375398i
\(640\) 226701. + 1.28568e6i 0.0218777 + 0.124075i
\(641\) 4.91187e6 + 4.12155e6i 0.472174 + 0.396201i 0.847587 0.530657i \(-0.178055\pi\)
−0.375413 + 0.926858i \(0.622499\pi\)
\(642\) 1.20901e6 1.01448e6i 0.115769 0.0971413i
\(643\) 1.26742e6 7.18787e6i 0.120890 0.685603i −0.862774 0.505590i \(-0.831275\pi\)
0.983664 0.180013i \(-0.0576141\pi\)
\(644\) −3.86110e6 + 1.40532e6i −0.366856 + 0.133525i
\(645\) 2.03498e7 1.92602
\(646\) −6.20024e6 + 719959.i −0.584558 + 0.0678776i
\(647\) −9.74699e6 −0.915397 −0.457699 0.889107i \(-0.651326\pi\)
−0.457699 + 0.889107i \(0.651326\pi\)
\(648\) 3.11511e6 1.13381e6i 0.291431 0.106072i
\(649\) 2.55963e6 1.45164e7i 0.238542 1.35284i
\(650\) −4.38446e6 + 3.67900e6i −0.407036 + 0.341544i
\(651\) −2.17965e7 1.82894e7i −2.01574 1.69141i
\(652\) −420246. 2.38333e6i −0.0387155 0.219566i
\(653\) −6.21388e6 1.07628e7i −0.570269 0.987736i −0.996538 0.0831390i \(-0.973505\pi\)
0.426269 0.904597i \(-0.359828\pi\)
\(654\) 3.94201e6 6.82776e6i 0.360391 0.624215i
\(655\) −1.63874e6 596452.i −0.149247 0.0543215i
\(656\) 2.37759e6 + 865370.i 0.215713 + 0.0785132i
\(657\) −820871. + 1.42179e6i −0.0741928 + 0.128506i
\(658\) −1.08027e7 1.87108e7i −0.972672 1.68472i
\(659\) 1.32420e6 + 7.50988e6i 0.118779 + 0.673627i 0.984810 + 0.173637i \(0.0555520\pi\)
−0.866031 + 0.499990i \(0.833337\pi\)
\(660\) −7.92437e6 6.64934e6i −0.708117 0.594181i
\(661\) 8.50773e6 7.13883e6i 0.757373 0.635512i −0.180068 0.983654i \(-0.557632\pi\)
0.937442 + 0.348142i \(0.113187\pi\)
\(662\) −464036. + 2.63168e6i −0.0411535 + 0.233393i
\(663\) 9.36552e6 3.40877e6i 0.827462 0.301171i
\(664\) −6.46361e6 −0.568925
\(665\) −1.65147e7 + 1.74781e7i −1.44816 + 1.53264i
\(666\) 1.42677e7 1.24644
\(667\) 6.38678e6 2.32460e6i 0.555863 0.202317i
\(668\) −687711. + 3.90020e6i −0.0596300 + 0.338179i
\(669\) 2.08567e7 1.75008e7i 1.80169 1.51180i
\(670\) 5.41429e6 + 4.54312e6i 0.465966 + 0.390992i
\(671\) 998279. + 5.66152e6i 0.0855945 + 0.485431i
\(672\) −2.22369e6 3.85154e6i −0.189955 0.329012i
\(673\) 2.26053e6 3.91535e6i 0.192386 0.333222i −0.753655 0.657271i \(-0.771711\pi\)
0.946040 + 0.324049i \(0.105044\pi\)
\(674\) 1.05125e7 + 3.82624e6i 0.891367 + 0.324431i
\(675\) −1.84374e6 671066.i −0.155754 0.0566899i
\(676\) 1.39481e6 2.41588e6i 0.117394 0.203333i
\(677\) 6.60207e6 + 1.14351e7i 0.553616 + 0.958891i 0.998010 + 0.0630593i \(0.0200857\pi\)
−0.444394 + 0.895831i \(0.646581\pi\)
\(678\) 55594.8 + 315294.i 0.00464472 + 0.0263415i
\(679\) −1.20146e7 1.00815e7i −1.00008 0.839169i
\(680\) 3.87409e6 3.25074e6i 0.321290 0.269594i
\(681\) 679182. 3.85183e6i 0.0561201 0.318273i
\(682\) −8.82266e6 + 3.21119e6i −0.726338 + 0.264365i
\(683\) 889471. 0.0729592 0.0364796 0.999334i \(-0.488386\pi\)
0.0364796 + 0.999334i \(0.488386\pi\)
\(684\) 6.61020e6 + 1.57192e6i 0.540224 + 0.128466i
\(685\) −2.71178e6 −0.220815
\(686\) −2.28150e6 + 830399.i −0.185102 + 0.0673715i
\(687\) 418000. 2.37059e6i 0.0337897 0.191631i
\(688\) 2.21150e6 1.85567e6i 0.178121 0.149462i
\(689\) −1.04131e7 8.73761e6i −0.835663 0.701205i
\(690\) 1.67842e6 + 9.51880e6i 0.134208 + 0.761131i
\(691\) 7.96522e6 + 1.37962e7i 0.634604 + 1.09917i 0.986599 + 0.163164i \(0.0521700\pi\)
−0.351995 + 0.936002i \(0.614497\pi\)
\(692\) 883966. 1.53107e6i 0.0701731 0.121543i
\(693\) 1.74247e7 + 6.34208e6i 1.37827 + 0.501648i
\(694\) −5.52489e6 2.01090e6i −0.435437 0.158486i
\(695\) −2.23890e6 + 3.87790e6i −0.175822 + 0.304533i
\(696\) 3.67829e6 + 6.37098e6i 0.287821 + 0.498520i
\(697\) −1.70198e6 9.65239e6i −0.132700 0.752580i
\(698\) 9.00681e6 + 7.55761e6i 0.699733 + 0.587146i
\(699\) 8.78191e6 7.36890e6i 0.679823 0.570440i
\(700\) 1.71800e6 9.74327e6i 0.132519 0.751553i
\(701\) 1.55619e7 5.66407e6i 1.19610 0.435345i 0.334239 0.942488i \(-0.391521\pi\)
0.861862 + 0.507143i \(0.169298\pi\)
\(702\) −1.08021e6 −0.0827308
\(703\) −1.73679e7 1.14419e7i −1.32544 0.873190i
\(704\) −1.46752e6 −0.111597
\(705\) −4.77588e7 + 1.73828e7i −3.61893 + 1.31718i
\(706\) −1.69533e6 + 9.61469e6i −0.128009 + 0.725978i
\(707\) −1.77279e7 + 1.48755e7i −1.33385 + 1.11924i
\(708\) −1.14198e7 9.58239e6i −0.856204 0.718440i
\(709\) −2.15488e6 1.22209e7i −0.160993 0.913039i −0.953100 0.302656i \(-0.902127\pi\)
0.792106 0.610383i \(-0.208984\pi\)
\(710\) −2.64210e6 4.57626e6i −0.196700 0.340694i
\(711\) 1.22174e7 2.11612e7i 0.906370 1.56988i
\(712\) −6.61201e6 2.40658e6i −0.488803 0.177910i
\(713\) 8.24365e6 + 3.00044e6i 0.607290 + 0.221035i
\(714\) −8.61404e6 + 1.49200e7i −0.632355 + 1.09527i
\(715\) −6.33470e6 1.09720e7i −0.463405 0.802642i
\(716\) −606046. 3.43706e6i −0.0441798 0.250556i
\(717\) −1.32343e7 1.11049e7i −0.961398 0.806709i
\(718\) 1.67919e6 1.40900e6i 0.121559 0.102000i
\(719\) −3.65442e6 + 2.07253e7i −0.263631 + 1.49513i 0.509273 + 0.860605i \(0.329914\pi\)
−0.772905 + 0.634522i \(0.781197\pi\)
\(720\) −5.17301e6 + 1.88282e6i −0.371888 + 0.135356i
\(721\) 1.19041e7 0.852823
\(722\) −6.78592e6 7.21445e6i −0.484469 0.515063i
\(723\) 5.12422e6 0.364571
\(724\) −4.46353e6 + 1.62459e6i −0.316470 + 0.115186i
\(725\) −2.84181e6 + 1.61167e7i −0.200794 + 1.13876i
\(726\) −2.26814e6 + 1.90319e6i −0.159708 + 0.134011i
\(727\) 1.08347e7 + 9.09143e6i 0.760296 + 0.637964i 0.938204 0.346083i \(-0.112488\pi\)
−0.177908 + 0.984047i \(0.556933\pi\)
\(728\) −945844. 5.36415e6i −0.0661441 0.375122i
\(729\) 8.66371e6 + 1.50060e7i 0.603789 + 1.04579i
\(730\) −969487. + 1.67920e6i −0.0673341 + 0.116626i
\(731\) −1.05088e7 3.82488e6i −0.727375 0.264743i
\(732\) 5.46345e6 + 1.98853e6i 0.376868 + 0.137169i
\(733\) −7.31253e6 + 1.26657e7i −0.502699 + 0.870700i 0.497296 + 0.867581i \(0.334326\pi\)
−0.999995 + 0.00311931i \(0.999007\pi\)
\(734\) −7.22239e6 1.25095e7i −0.494813 0.857041i
\(735\) 6.25833e6 + 3.54927e7i 0.427307 + 2.42338i
\(736\) 1.05041e6 + 881398.i 0.0714766 + 0.0599760i
\(737\) −6.08616e6 + 5.10690e6i −0.412738 + 0.346329i
\(738\) −1.85266e6 + 1.05070e7i −0.125215 + 0.710128i
\(739\) 2.73895e7 9.96895e6i 1.84490 0.671488i 0.857228 0.514937i \(-0.172185\pi\)
0.987670 0.156551i \(-0.0500376\pi\)
\(740\) 1.68509e7 1.13121
\(741\) 1.32063e7 + 8.70022e6i 0.883560 + 0.582082i
\(742\) 2.34972e7 1.56677
\(743\) 1.62030e7 5.89742e6i 1.07677 0.391913i 0.258067 0.966127i \(-0.416914\pi\)
0.818706 + 0.574214i \(0.194692\pi\)
\(744\) −1.64886e6 + 9.35114e6i −0.109207 + 0.619344i
\(745\) 2.35888e6 1.97934e6i 0.155710 0.130656i
\(746\) −1.53864e6 1.29108e6i −0.101226 0.0849385i
\(747\) −4.73283e6 2.68412e7i −0.310327 1.75995i
\(748\) 2.84242e6 + 4.92321e6i 0.185752 + 0.321732i
\(749\) −1.67063e6 + 2.89362e6i −0.108812 + 0.188467i
\(750\) −673419. 245105.i −0.0437152 0.0159110i
\(751\) −3.37866e6 1.22973e6i −0.218597 0.0795629i 0.230400 0.973096i \(-0.425997\pi\)
−0.448997 + 0.893533i \(0.648219\pi\)
\(752\) −3.60505e6 + 6.24413e6i −0.232470 + 0.402649i
\(753\) 1.21957e7 + 2.11235e7i 0.783823 + 1.35762i
\(754\) 1.56456e6 + 8.87304e6i 0.100222 + 0.568387i
\(755\) −1.08079e7 9.06889e6i −0.690038 0.579011i
\(756\) 1.43039e6 1.20024e6i 0.0910228 0.0763772i
\(757\) 2.48695e6 1.41042e7i 0.157735 0.894558i −0.798508 0.601984i \(-0.794377\pi\)
0.956243 0.292574i \(-0.0945119\pi\)
\(758\) −904238. + 329116.i −0.0571623 + 0.0208054i
\(759\) −1.08651e7 −0.684587
\(760\) 7.80695e6 + 1.85651e6i 0.490284 + 0.116590i
\(761\) 2.54776e7 1.59477 0.797384 0.603473i \(-0.206217\pi\)
0.797384 + 0.603473i \(0.206217\pi\)
\(762\) 1.94820e7 7.09088e6i 1.21548 0.442398i
\(763\) −2.89837e6 + 1.64375e7i −0.180237 + 1.02217i
\(764\) 1.33273e6 1.11829e6i 0.0826055 0.0693142i
\(765\) 1.63360e7 + 1.37075e7i 1.00923 + 0.846846i
\(766\) 1.79170e6 + 1.01612e7i 0.110330 + 0.625711i
\(767\) −9.12896e6 1.58118e7i −0.560316 0.970496i
\(768\) −742085. + 1.28533e6i −0.0453995