Properties

Label 38.6.e.b.23.4
Level $38$
Weight $6$
Character 38.23
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 23.4
Character \(\chi\) \(=\) 38.23
Dual form 38.6.e.b.5.4

$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

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

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 0.802976 + 0.596011i \(0.203248\pi\)
−0.550703 + 0.834701i \(0.685640\pi\)
\(4\) 12.2567 + 10.2846i 0.383022 + 0.321394i
\(5\) 61.0402 51.2189i 1.09192 0.916231i 0.0950656 0.995471i \(-0.469694\pi\)
0.996856 + 0.0792404i \(0.0252495\pi\)
\(6\) 15.7302 89.2104i 0.178384 1.01167i
\(7\) −95.8893 + 166.085i −0.739648 + 1.28111i 0.213006 + 0.977051i \(0.431675\pi\)
−0.952654 + 0.304057i \(0.901659\pi\)
\(8\) −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 0.998148 0.0608359i \(-0.0193766\pi\)
−0.551759 + 0.834003i \(0.686043\pi\)
\(12\) −181.173 + 313.801i −0.363196 + 0.629073i
\(13\) −77.0619 + 437.039i −0.126468 + 0.717236i 0.853957 + 0.520344i \(0.174196\pi\)
−0.980425 + 0.196893i \(0.936915\pi\)
\(14\) 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 −0.0800247 0.996793i \(-0.525500\pi\)
−0.702029 + 0.712149i \(0.747722\pi\)
\(18\) 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 0.822166 0.569248i \(-0.192766\pi\)
−0.417833 + 0.908524i \(0.637210\pi\)
\(24\) 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 0.243288 0.969954i \(-0.421774\pi\)
0.809844 + 0.586646i \(0.199552\pi\)
\(30\) −3609.08 6251.11i −0.732138 1.26810i
\(31\) 3275.66 5673.61i 0.612202 1.06037i −0.378666 0.925533i \(-0.623617\pi\)
0.990868 0.134832i \(-0.0430495\pi\)
\(32\) 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 −0.954605 0.297874i \(-0.903722\pi\)
0.795156 0.606404i \(-0.207389\pi\)
\(42\) 13308.2 + 11166.9i 1.16411 + 0.976806i
\(43\) 8638.67 7248.71i 0.712485 0.597846i −0.212810 0.977094i \(-0.568262\pi\)
0.925295 + 0.379247i \(0.123817\pi\)
\(44\) −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 −0.999618 0.0276428i \(-0.991200\pi\)
−0.747983 + 0.663718i \(0.768978\pi\)
\(48\) −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 0.999656 0.0262282i \(-0.00834966\pi\)
0.147759 + 0.989023i \(0.452794\pi\)
\(54\) 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 0.941443 0.337173i \(-0.109471\pi\)
0.504457 + 0.863437i \(0.331693\pi\)
\(60\) 5013.68 + 28434.0i 0.179795 + 1.01967i
\(61\) −12291.7 10313.9i −0.422948 0.354895i 0.406335 0.913724i \(-0.366806\pi\)
−0.829283 + 0.558829i \(0.811251\pi\)
\(62\) −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 −0.609630 0.792686i \(-0.708682\pi\)
0.0425249 + 0.999095i \(0.486460\pi\)
\(68\) −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 −0.480930 0.876759i \(-0.659701\pi\)
0.779926 + 0.625871i \(0.215256\pi\)
\(72\) 13230.9 + 11102.0i 0.300786 + 0.252390i
\(73\) 1056.38 + 5991.02i 0.0232013 + 0.131581i 0.994208 0.107470i \(-0.0342748\pi\)
−0.971007 + 0.239051i \(0.923164\pi\)
\(74\) −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 −0.710815 0.703379i \(-0.751674\pi\)
0.427378 0.904073i \(-0.359437\pi\)
\(80\) 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 −0.111991 0.993709i \(-0.535723\pi\)
0.916573 0.399867i \(-0.130944\pi\)
\(84\) −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 −0.539345 0.842085i \(-0.681328\pi\)
0.794828 0.606834i \(-0.207561\pi\)
\(90\) 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 0.721572 0.692339i \(-0.243420\pi\)
0.107730 + 0.994180i \(0.465642\pi\)
\(98\) 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 0.693995 + 0.719980i \(0.255849\pi\)
−0.898389 + 0.439200i \(0.855262\pi\)
\(102\) −44916.6 + 77797.8i −0.427471 + 0.740401i
\(103\) −31036.1 53756.1i −0.288253 0.499269i 0.685140 0.728412i \(-0.259741\pi\)
−0.973393 + 0.229143i \(0.926408\pi\)
\(104\) 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 −0.900458 0.434944i \(-0.856768\pi\)
0.826901 + 0.562347i \(0.190102\pi\)
\(108\) 1690.72 9588.53i 0.0139480 0.0791029i
\(109\) −66671.1 + 55943.7i −0.537492 + 0.451009i −0.870679 0.491852i \(-0.836320\pi\)
0.333187 + 0.942861i \(0.391876\pi\)
\(110\) −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 0.655815 + 0.754922i \(0.272325\pi\)
−0.874463 + 0.485093i \(0.838786\pi\)
\(128\) 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 0.289136 0.957288i \(-0.406632\pi\)
−0.393842 + 0.919178i \(0.628854\pi\)
\(132\) −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 0.581521 0.813531i \(-0.302458\pi\)
−0.700192 + 0.713955i \(0.746902\pi\)
\(138\) 92922.9 77971.5i 0.415360 0.348529i
\(139\) 9758.28 55342.0i 0.0428387 0.242950i −0.955868 0.293797i \(-0.905081\pi\)
0.998706 + 0.0508469i \(0.0161920\pi\)
\(140\) −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 0.994683 0.102989i \(-0.0328405\pi\)
−0.969920 + 0.243424i \(0.921729\pi\)
\(150\) −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 −0.599419 0.800435i \(-0.704602\pi\)
0.684187 + 0.729307i \(0.260157\pi\)
\(158\) −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 0.955703 0.294331i \(-0.0950969\pi\)
−0.732750 + 0.680498i \(0.761764\pi\)
\(164\) 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 0.340644 0.940192i \(-0.389355\pi\)
−0.866757 + 0.498731i \(0.833799\pi\)
\(168\) 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 0.470517 0.882391i \(-0.344067\pi\)
−0.206753 + 0.978393i \(0.566290\pi\)
\(174\) −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 0.964738 0.263212i \(-0.0847818\pi\)
−0.710317 + 0.703882i \(0.751448\pi\)
\(180\) −323313. + 117676.i −0.743776 + 0.270712i
\(181\) −278971. + 101537.i −0.632940 + 0.230371i −0.638510 0.769613i \(-0.720449\pi\)
0.00557048 + 0.999984i \(0.498227\pi\)
\(182\) 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 0.966972 + 0.254884i \(0.0820373\pi\)
−0.821481 + 0.570236i \(0.806852\pi\)
\(194\) −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 −0.742040 0.670355i \(-0.766142\pi\)
0.951565 + 0.307448i \(0.0994751\pi\)
\(198\) 193379. + 334943.i 0.350548 + 0.607167i
\(199\) −859649. + 312887.i −1.53882 + 0.560086i −0.965763 0.259427i \(-0.916466\pi\)
−0.573060 + 0.819513i \(0.694244\pi\)
\(200\) −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 0.0347429 0.999396i \(-0.488939\pi\)
−0.615785 + 0.787914i \(0.711161\pi\)
\(212\) 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 0.242651 0.970114i \(-0.421983\pi\)
0.997511 0.0705065i \(-0.0224615\pi\)
\(224\) 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 −0.378099 0.925765i \(-0.623422\pi\)
0.846045 + 0.533112i \(0.178978\pi\)
\(234\) −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 0.997040 0.0768854i \(-0.0244976\pi\)
−0.565105 + 0.825019i \(0.691164\pi\)
\(240\) −230981. + 400071.i −0.258850 + 0.448341i
\(241\) 39291.1 222831.i 0.0435764 0.247134i −0.955237 0.295843i \(-0.904399\pi\)
0.998813 + 0.0487087i \(0.0155106\pi\)
\(242\) −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 0.127899 0.991787i \(-0.459177\pi\)
−0.954510 + 0.298178i \(0.903621\pi\)
\(252\) 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 −0.539934 0.841707i \(-0.681551\pi\)
0.127425 + 0.991848i \(0.459329\pi\)
\(258\) −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 0.855505 + 0.517794i \(0.173247\pi\)
−0.626816 + 0.779167i \(0.715642\pi\)
\(264\) 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 −0.995960 0.0897988i \(-0.971378\pi\)
0.905183 0.425022i \(-0.139734\pi\)
\(270\) 148579. + 124672.i 0.124036 + 0.104079i
\(271\) −1.15897e6 + 972490.i −0.958624 + 0.804381i −0.980729 0.195375i \(-0.937408\pi\)
0.0221047 + 0.999756i \(0.492963\pi\)
\(272\) 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 −0.854659 0.519189i \(-0.826234\pi\)
−0.0223014 0.999751i \(-0.507099\pi\)
\(278\) −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 0.513182 0.858280i \(-0.328467\pi\)
−0.756128 + 0.654424i \(0.772911\pi\)
\(282\) 443032. + 2.51256e6i 0.331751 + 1.88145i
\(283\) 1.14526e6 + 416839.i 0.850034 + 0.309387i 0.730054 0.683389i \(-0.239495\pi\)
0.119980 + 0.992776i \(0.461717\pi\)
\(284\) 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 0.718583 0.695442i \(-0.244791\pi\)
−0.961561 + 0.274590i \(0.911458\pi\)
\(294\) −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 0.995262 0.0972313i \(-0.0309987\pi\)
−0.968495 + 0.249032i \(0.919888\pi\)
\(308\) −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 −0.265814 0.964024i \(-0.585641\pi\)
0.967777 0.251810i \(-0.0810259\pi\)
\(312\) 321605. + 557037.i 0.187041 + 0.323964i
\(313\) −533112. + 194037.i −0.307580 + 0.111950i −0.491199 0.871048i \(-0.663441\pi\)
0.183619 + 0.982998i \(0.441219\pi\)
\(314\) −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 −0.872620 0.488399i \(-0.837581\pi\)
0.987037 0.160491i \(-0.0513078\pi\)
\(318\) 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 0.937568 0.347801i \(-0.113071\pi\)
−0.769989 + 0.638058i \(0.779738\pi\)
\(332\) 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 −0.990568 0.137023i \(-0.956246\pi\)
−0.0370687 + 0.999313i \(0.511802\pi\)
\(338\) −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 −0.356300 0.934372i \(-0.615962\pi\)
0.858306 + 0.513139i \(0.171517\pi\)
\(348\) −319364. + 1.81120e6i −0.141364 + 0.801713i
\(349\) −1.46969e6 + 2.54558e6i −0.645897 + 1.11873i 0.338196 + 0.941076i \(0.390183\pi\)
−0.984094 + 0.177651i \(0.943150\pi\)
\(350\) −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 0.999694 + 0.0247289i \(0.00787226\pi\)
−0.478431 + 0.878125i \(0.658794\pi\)
\(354\) 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 0.234420 0.972135i \(-0.424681\pi\)
−0.445300 + 0.895381i \(0.646903\pi\)
\(360\) 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 −0.582001 0.813188i \(-0.697730\pi\)
0.825029 0.565091i \(-0.191159\pi\)
\(368\) −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 −0.815518 0.578732i \(-0.803548\pi\)
0.908956 + 0.416893i \(0.136881\pi\)
\(374\) −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 0.957838 + 0.287308i \(0.0927603\pi\)
−0.801808 + 0.597581i \(0.796129\pi\)
\(384\) 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 −0.383138 0.923691i \(-0.625156\pi\)
0.300237 + 0.953865i \(0.402934\pi\)
\(390\) 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 −0.163991 0.986462i \(-0.552437\pi\)
−0.759710 + 0.650262i \(0.774659\pi\)
\(398\) 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 0.574073 0.818804i \(-0.305363\pi\)
−0.0865516 + 0.996247i \(0.527585\pi\)
\(402\) 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 0.702237 0.711944i \(-0.252185\pi\)
0.995573 + 0.0939913i \(0.0299626\pi\)
\(410\) 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 −0.785706 0.618600i \(-0.787700\pi\)
0.526749 0.850021i \(-0.323411\pi\)
\(422\) 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 0.572478 + 0.819920i \(0.305982\pi\)
−0.818382 + 0.574674i \(0.805129\pi\)
\(432\) 119337. 100136.i 0.0307656 0.0258154i
\(433\) −3.97309e6 3.33382e6i −1.01838 0.854520i −0.0289545 0.999581i \(-0.509218\pi\)
−0.989423 + 0.145061i \(0.953662\pi\)
\(434\) −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 0.391459 0.920195i \(-0.371970\pi\)
−0.291615 + 0.956536i \(0.594193\pi\)
\(440\) −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 −0.818686 0.574241i \(-0.805297\pi\)
0.965715 0.259603i \(-0.0835918\pi\)
\(444\) −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 −0.648050 0.761598i \(-0.724415\pi\)
0.983588 + 0.180429i \(0.0577486\pi\)
\(450\) 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 −0.182608 0.983186i \(-0.558454\pi\)
0.936539 + 0.350562i \(0.114009\pi\)
\(462\) −1.08083e6 + 6.12971e6i −0.235588 + 1.33609i
\(463\) −3.03377e6 + 5.25464e6i −0.657703 + 1.13917i 0.323506 + 0.946226i \(0.395138\pi\)
−0.981209 + 0.192949i \(0.938195\pi\)
\(464\) 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 0.956675 + 0.291157i \(0.0940401\pi\)
−0.226189 + 0.974084i \(0.572627\pi\)
\(468\) 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 0.976317 0.216345i \(-0.0694135\pi\)
−0.0435223 + 0.999052i \(0.513858\pi\)
\(480\) 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 −0.759534 0.650467i \(-0.774573\pi\)
0.943088 + 0.332542i \(0.107906\pi\)
\(488\) −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 −0.971841 0.235638i \(-0.924282\pi\)
0.832639 0.553817i \(-0.186829\pi\)
\(492\) 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 0.0262172 0.999656i \(-0.491654\pi\)
0.989022 + 0.147770i \(0.0472094\pi\)
\(500\) 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 −0.852771 0.522286i \(-0.825079\pi\)
−0.317541 + 0.948244i \(0.602857\pi\)
\(504\) −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 0.999948 0.0101833i \(-0.00324151\pi\)
0.163611 + 0.986525i \(0.447686\pi\)
\(510\) 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 0.609440 0.792832i \(-0.291394\pi\)
−0.991333 + 0.131374i \(0.958061\pi\)
\(522\) 5.14864e6 1.87395e6i 0.827021 0.301011i
\(523\) 1.69909e6 618419.i 0.271621 0.0988618i −0.202619 0.979258i \(-0.564945\pi\)
0.474240 + 0.880396i \(0.342723\pi\)
\(524\) −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 −0.421186 0.906974i \(-0.638386\pi\)
0.260345 + 0.965516i \(0.416164\pi\)
\(542\) 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 0.389124 0.921185i \(-0.372778\pi\)
−0.839620 + 0.543174i \(0.817222\pi\)
\(548\) −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 −0.676068 0.736839i \(-0.736317\pi\)
0.887310 0.461174i \(-0.152571\pi\)
\(558\) 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 −0.976769 0.214293i \(-0.931255\pi\)
0.673968 + 0.738761i \(0.264589\pi\)
\(564\) 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 −0.604624 0.796511i \(-0.706677\pi\)
0.992111 + 0.125364i \(0.0400100\pi\)
\(578\) 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 −0.330650 0.943753i \(-0.607268\pi\)
−0.859926 + 0.510419i \(0.829490\pi\)
\(588\) 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 0.0927789 0.995687i \(-0.470425\pi\)
−0.964449 + 0.264269i \(0.914869\pi\)
\(594\) −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 −0.805739 0.592271i \(-0.798232\pi\)
−0.236528 + 0.971625i \(0.576009\pi\)
\(600\) −2.33661e6 4.04713e6i −0.264977 0.458954i
\(601\) 1.80256e6 3.12213e6i 0.203565 0.352586i −0.746109 0.665823i \(-0.768080\pi\)
0.949675 + 0.313238i \(0.101414\pi\)
\(602\) 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 −0.891937 0.452160i \(-0.850654\pi\)
0.290407 + 0.956903i \(0.406209\pi\)
\(614\) 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 0.425140 0.905128i \(-0.360225\pi\)
0.907481 + 0.420094i \(0.138003\pi\)
\(618\) −5.28380e6 + 1.92315e6i −0.556513 + 0.202554i
\(619\) −8.87993e6 1.53805e7i −0.931500 1.61341i −0.780759 0.624832i \(-0.785167\pi\)
−0.150741 0.988573i \(-0.548166\pi\)
\(620\) 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 0.518615 0.855008i \(-0.326448\pi\)
−0.751962 + 0.659207i \(0.770892\pi\)
\(632\) −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 −0.375413 0.926858i \(-0.622499\pi\)
0.847587 + 0.530657i \(0.178055\pi\)
\(642\) 1.20901e6 + 1.01448e6i 0.115769 + 0.0971413i
\(643\) 1.26742e6 + 7.18787e6i 0.120890 + 0.685603i 0.983664 + 0.180013i \(0.0576141\pi\)
−0.862774 + 0.505590i \(0.831275\pi\)
\(644\) −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 0.426269 + 0.904597i \(0.359828\pi\)
−0.996538 + 0.0831390i \(0.973505\pi\)
\(654\) 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 −0.866031 0.499990i \(-0.833337\pi\)
0.984810 0.173637i \(-0.0555520\pi\)
\(660\) −7.92437e6 + 6.64934e6i −0.708117 + 0.594181i
\(661\) 8.50773e6 + 7.13883e6i 0.757373 + 0.635512i 0.937442 0.348142i \(-0.113187\pi\)
−0.180068 + 0.983654i \(0.557632\pi\)
\(662\) −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 0.946040 0.324049i \(-0.105044\pi\)
−0.753655 + 0.657271i \(0.771711\pi\)
\(674\) 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 −0.444394 0.895831i \(-0.646581\pi\)
0.998010 0.0630593i \(-0.0200857\pi\)
\(678\) 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 −0.351995 0.936002i \(-0.614497\pi\)
0.986599 0.163164i \(-0.0521700\pi\)
\(692\) 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 0.861862 0.507143i \(-0.169298\pi\)
0.334239 + 0.942488i \(0.391521\pi\)
\(702\) −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 0.792106 + 0.610383i \(0.208984\pi\)
−0.953100 + 0.302656i \(0.902127\pi\)
\(710\) −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 −0.772905 0.634522i \(-0.781197\pi\)
0.509273 0.860605i \(-0.329914\pi\)
\(720\) −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 −0.177908 0.984047i \(-0.556933\pi\)
0.938204 + 0.346083i \(0.112488\pi\)
\(728\) −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 −0.999995 0.00311931i \(-0.999007\pi\)
0.497296 0.867581i \(-0.334326\pi\)
\(734\) −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 0.987670 + 0.156551i \(0.0500376\pi\)
0.857228 + 0.514937i \(0.172185\pi\)
\(740\) 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 0.818706 0.574214i \(-0.194692\pi\)
0.258067 + 0.966127i \(0.416914\pi\)
\(744\) −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 −0.448997 0.893533i \(-0.648219\pi\)
0.230400 + 0.973096i \(0.425997\pi\)
\(752\) −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 0.956243 + 0.292574i \(0.0945119\pi\)
−0.798508 + 0.601984i \(0.794377\pi\)
\(758\) −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.