Properties

Label 29.6.d.a.16.8
Level $29$
Weight $6$
Character 29.16
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 16.8
Character \(\chi\) \(=\) 29.16
Dual form 29.6.d.a.20.8

$q$-expansion

\(f(q)\) \(=\) \(q+(3.74798 + 1.80493i) q^{2} +(-13.9558 + 17.5000i) q^{3} +(-9.16211 - 11.4889i) q^{4} +(-40.2504 - 19.3836i) q^{5} +(-83.8924 + 40.4005i) q^{6} +(-30.7029 + 38.5002i) q^{7} +(-43.2242 - 189.378i) q^{8} +(-57.4139 - 251.547i) q^{9} +O(q^{10})\) \(q+(3.74798 + 1.80493i) q^{2} +(-13.9558 + 17.5000i) q^{3} +(-9.16211 - 11.4889i) q^{4} +(-40.2504 - 19.3836i) q^{5} +(-83.8924 + 40.4005i) q^{6} +(-30.7029 + 38.5002i) q^{7} +(-43.2242 - 189.378i) q^{8} +(-57.4139 - 251.547i) q^{9} +(-115.872 - 145.298i) q^{10} +(-124.623 + 546.010i) q^{11} +328.921 q^{12} +(-134.054 + 587.331i) q^{13} +(-184.564 + 88.8813i) q^{14} +(900.940 - 433.870i) q^{15} +(75.1729 - 329.354i) q^{16} -1323.91 q^{17} +(238.839 - 1046.42i) q^{18} +(375.194 + 470.479i) q^{19} +(146.082 + 640.028i) q^{20} +(-245.271 - 1074.60i) q^{21} +(-1452.59 + 1821.50i) q^{22} +(3630.88 - 1748.54i) q^{23} +(3917.35 + 1886.50i) q^{24} +(-704.034 - 882.831i) q^{25} +(-1562.52 + 1959.34i) q^{26} +(302.822 + 145.831i) q^{27} +723.629 q^{28} +(4180.32 + 1742.42i) q^{29} +4159.81 q^{30} +(-2253.73 - 1085.34i) q^{31} +(-2999.37 + 3761.08i) q^{32} +(-7815.97 - 9800.92i) q^{33} +(-4962.00 - 2389.58i) q^{34} +(1982.08 - 954.517i) q^{35} +(-2363.97 + 2964.33i) q^{36} +(-217.466 - 952.783i) q^{37} +(557.038 + 2440.54i) q^{38} +(-8407.47 - 10542.6i) q^{39} +(-1931.02 + 8460.37i) q^{40} -11735.4 q^{41} +(1020.31 - 4470.29i) q^{42} +(-8700.04 + 4189.72i) q^{43} +(7414.88 - 3570.82i) q^{44} +(-2564.94 + 11237.8i) q^{45} +16764.5 q^{46} +(-2269.26 + 9942.28i) q^{47} +(4714.61 + 5911.93i) q^{48} +(3200.31 + 14021.5i) q^{49} +(-1045.26 - 4579.56i) q^{50} +(18476.3 - 23168.6i) q^{51} +(7976.02 - 3841.05i) q^{52} +(-12088.5 - 5821.52i) q^{53} +(871.755 + 1093.15i) q^{54} +(15599.8 - 19561.5i) q^{55} +(8618.19 + 4150.30i) q^{56} -13469.5 q^{57} +(12522.8 + 14075.8i) q^{58} +30325.2 q^{59} +(-13239.2 - 6375.67i) q^{60} +(1493.70 - 1873.04i) q^{61} +(-6487.95 - 8135.64i) q^{62} +(11447.4 + 5512.77i) q^{63} +(-27769.9 + 13373.3i) q^{64} +(16780.3 - 21041.8i) q^{65} +(-11604.1 - 50840.9i) q^{66} +(15397.4 + 67460.2i) q^{67} +(12129.9 + 15210.4i) q^{68} +(-20072.4 + 87942.9i) q^{69} +9151.61 q^{70} +(16787.4 - 73550.5i) q^{71} +(-45155.7 + 21745.9i) q^{72} +(-61097.9 + 29423.2i) q^{73} +(904.648 - 3963.52i) q^{74} +25274.9 q^{75} +(1967.72 - 8621.16i) q^{76} +(-17195.2 - 21562.1i) q^{77} +(-12482.3 - 54688.5i) q^{78} +(-2476.11 - 10848.5i) q^{79} +(-9409.80 + 11799.5i) q^{80} +(49710.6 - 23939.4i) q^{81} +(-43984.2 - 21181.7i) q^{82} +(-50493.3 - 63316.5i) q^{83} +(-10098.8 + 12663.5i) q^{84} +(53288.1 + 25662.2i) q^{85} -40169.7 q^{86} +(-88832.3 + 48838.9i) q^{87} +108789. q^{88} +(29834.3 + 14367.5i) q^{89} +(-29896.7 + 37489.3i) q^{90} +(-18496.5 - 23193.9i) q^{91} +(-53355.4 - 25694.6i) q^{92} +(50446.0 - 24293.5i) q^{93} +(-26450.3 + 33167.6i) q^{94} +(-5982.16 - 26209.6i) q^{95} +(-23960.5 - 104978. i) q^{96} +(77949.2 + 97745.2i) q^{97} +(-13313.1 + 58328.5i) q^{98} +144502. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.74798 + 1.80493i 0.662555 + 0.319070i 0.734767 0.678320i \(-0.237291\pi\)
−0.0722119 + 0.997389i \(0.523006\pi\)
\(3\) −13.9558 + 17.5000i −0.895266 + 1.12263i 0.0965979 + 0.995323i \(0.469204\pi\)
−0.991864 + 0.127304i \(0.959368\pi\)
\(4\) −9.16211 11.4889i −0.286316 0.359029i
\(5\) −40.2504 19.3836i −0.720021 0.346744i 0.0377297 0.999288i \(-0.487987\pi\)
−0.757751 + 0.652544i \(0.773702\pi\)
\(6\) −83.8924 + 40.4005i −0.951359 + 0.458151i
\(7\) −30.7029 + 38.5002i −0.236829 + 0.296974i −0.886016 0.463655i \(-0.846538\pi\)
0.649187 + 0.760629i \(0.275109\pi\)
\(8\) −43.2242 189.378i −0.238782 1.04617i
\(9\) −57.4139 251.547i −0.236271 1.03517i
\(10\) −115.872 145.298i −0.366418 0.459474i
\(11\) −124.623 + 546.010i −0.310540 + 1.36056i 0.543086 + 0.839677i \(0.317256\pi\)
−0.853626 + 0.520886i \(0.825602\pi\)
\(12\) 328.921 0.659385
\(13\) −134.054 + 587.331i −0.220000 + 0.963883i 0.737477 + 0.675373i \(0.236017\pi\)
−0.957477 + 0.288511i \(0.906840\pi\)
\(14\) −184.564 + 88.8813i −0.251667 + 0.121197i
\(15\) 900.940 433.870i 1.03387 0.497888i
\(16\) 75.1729 329.354i 0.0734110 0.321635i
\(17\) −1323.91 −1.11106 −0.555530 0.831496i \(-0.687485\pi\)
−0.555530 + 0.831496i \(0.687485\pi\)
\(18\) 238.839 1046.42i 0.173749 0.761246i
\(19\) 375.194 + 470.479i 0.238436 + 0.298990i 0.886624 0.462491i \(-0.153044\pi\)
−0.648188 + 0.761481i \(0.724473\pi\)
\(20\) 146.082 + 640.028i 0.0816625 + 0.357787i
\(21\) −245.271 1074.60i −0.121366 0.531741i
\(22\) −1452.59 + 1821.50i −0.639864 + 0.802364i
\(23\) 3630.88 1748.54i 1.43118 0.689218i 0.451959 0.892039i \(-0.350725\pi\)
0.979216 + 0.202821i \(0.0650110\pi\)
\(24\) 3917.35 + 1886.50i 1.38824 + 0.668540i
\(25\) −704.034 882.831i −0.225291 0.282506i
\(26\) −1562.52 + 1959.34i −0.453308 + 0.568430i
\(27\) 302.822 + 145.831i 0.0799426 + 0.0384983i
\(28\) 723.629 0.174430
\(29\) 4180.32 + 1742.42i 0.923028 + 0.384732i
\(30\) 4159.81 0.843860
\(31\) −2253.73 1085.34i −0.421208 0.202843i 0.211259 0.977430i \(-0.432244\pi\)
−0.632468 + 0.774587i \(0.717958\pi\)
\(32\) −2999.37 + 3761.08i −0.517791 + 0.649289i
\(33\) −7815.97 9800.92i −1.24939 1.56669i
\(34\) −4962.00 2389.58i −0.736139 0.354506i
\(35\) 1982.08 954.517i 0.273495 0.131708i
\(36\) −2363.97 + 2964.33i −0.304009 + 0.381215i
\(37\) −217.466 952.783i −0.0261149 0.114417i 0.960191 0.279346i \(-0.0901176\pi\)
−0.986305 + 0.164929i \(0.947260\pi\)
\(38\) 557.038 + 2440.54i 0.0625786 + 0.274175i
\(39\) −8407.47 10542.6i −0.885123 1.10991i
\(40\) −1931.02 + 8460.37i −0.190826 + 0.836064i
\(41\) −11735.4 −1.09028 −0.545142 0.838343i \(-0.683524\pi\)
−0.545142 + 0.838343i \(0.683524\pi\)
\(42\) 1020.31 4470.29i 0.0892505 0.391032i
\(43\) −8700.04 + 4189.72i −0.717547 + 0.345552i −0.756773 0.653678i \(-0.773225\pi\)
0.0392261 + 0.999230i \(0.487511\pi\)
\(44\) 7414.88 3570.82i 0.577394 0.278058i
\(45\) −2564.94 + 11237.8i −0.188819 + 0.827272i
\(46\) 16764.5 1.16814
\(47\) −2269.26 + 9942.28i −0.149844 + 0.656510i 0.843083 + 0.537784i \(0.180738\pi\)
−0.992927 + 0.118727i \(0.962119\pi\)
\(48\) 4714.61 + 5911.93i 0.295354 + 0.370362i
\(49\) 3200.31 + 14021.5i 0.190415 + 0.834264i
\(50\) −1045.26 4579.56i −0.0591286 0.259059i
\(51\) 18476.3 23168.6i 0.994695 1.24731i
\(52\) 7976.02 3841.05i 0.409051 0.196989i
\(53\) −12088.5 5821.52i −0.591130 0.284673i 0.114307 0.993445i \(-0.463535\pi\)
−0.705437 + 0.708772i \(0.749249\pi\)
\(54\) 871.755 + 1093.15i 0.0406827 + 0.0510145i
\(55\) 15599.8 19561.5i 0.695362 0.871956i
\(56\) 8618.19 + 4150.30i 0.367237 + 0.176852i
\(57\) −13469.5 −0.549118
\(58\) 12522.8 + 14075.8i 0.488801 + 0.549417i
\(59\) 30325.2 1.13416 0.567079 0.823663i \(-0.308073\pi\)
0.567079 + 0.823663i \(0.308073\pi\)
\(60\) −13239.2 6375.67i −0.474771 0.228638i
\(61\) 1493.70 1873.04i 0.0513971 0.0644499i −0.755469 0.655185i \(-0.772591\pi\)
0.806866 + 0.590735i \(0.201162\pi\)
\(62\) −6487.95 8135.64i −0.214352 0.268790i
\(63\) 11447.4 + 5512.77i 0.363375 + 0.174992i
\(64\) −27769.9 + 13373.3i −0.847469 + 0.408119i
\(65\) 16780.3 21041.8i 0.492625 0.617732i
\(66\) −11604.1 50840.9i −0.327908 1.43666i
\(67\) 15397.4 + 67460.2i 0.419043 + 1.83595i 0.537861 + 0.843033i \(0.319232\pi\)
−0.118818 + 0.992916i \(0.537910\pi\)
\(68\) 12129.9 + 15210.4i 0.318114 + 0.398903i
\(69\) −20072.4 + 87942.9i −0.507547 + 2.22371i
\(70\) 9151.61 0.223230
\(71\) 16787.4 73550.5i 0.395219 1.73157i −0.250610 0.968088i \(-0.580631\pi\)
0.645830 0.763481i \(-0.276512\pi\)
\(72\) −45155.7 + 21745.9i −1.02655 + 0.494362i
\(73\) −61097.9 + 29423.2i −1.34190 + 0.646224i −0.960524 0.278197i \(-0.910263\pi\)
−0.381373 + 0.924421i \(0.624549\pi\)
\(74\) 904.648 3963.52i 0.0192044 0.0841399i
\(75\) 25274.9 0.518844
\(76\) 1967.72 8621.16i 0.0390778 0.171211i
\(77\) −17195.2 21562.1i −0.330507 0.414442i
\(78\) −12482.3 54688.5i −0.232304 1.01779i
\(79\) −2476.11 10848.5i −0.0446378 0.195571i 0.947693 0.319184i \(-0.103409\pi\)
−0.992330 + 0.123613i \(0.960552\pi\)
\(80\) −9409.80 + 11799.5i −0.164382 + 0.206129i
\(81\) 49710.6 23939.4i 0.841854 0.405416i
\(82\) −43984.2 21181.7i −0.722374 0.347877i
\(83\) −50493.3 63316.5i −0.804522 1.00884i −0.999606 0.0280526i \(-0.991069\pi\)
0.195084 0.980787i \(-0.437502\pi\)
\(84\) −10098.8 + 12663.5i −0.156161 + 0.195820i
\(85\) 53288.1 + 25662.2i 0.799987 + 0.385253i
\(86\) −40169.7 −0.585669
\(87\) −88832.3 + 48838.9i −1.25827 + 0.691779i
\(88\) 108789. 1.49754
\(89\) 29834.3 + 14367.5i 0.399247 + 0.192267i 0.622723 0.782442i \(-0.286026\pi\)
−0.223477 + 0.974709i \(0.571741\pi\)
\(90\) −29896.7 + 37489.3i −0.389061 + 0.487866i
\(91\) −18496.5 23193.9i −0.234146 0.293609i
\(92\) −53355.4 25694.6i −0.657217 0.316499i
\(93\) 50446.0 24293.5i 0.604811 0.291261i
\(94\) −26450.3 + 33167.6i −0.308753 + 0.387164i
\(95\) −5982.16 26209.6i −0.0680063 0.297955i
\(96\) −23960.5 104978.i −0.265350 1.16257i
\(97\) 77949.2 + 97745.2i 0.841167 + 1.05479i 0.997745 + 0.0671243i \(0.0213824\pi\)
−0.156578 + 0.987666i \(0.550046\pi\)
\(98\) −13313.1 + 58328.5i −0.140028 + 0.613502i
\(99\) 144502. 1.48179
\(100\) −3692.34 + 16177.2i −0.0369234 + 0.161772i
\(101\) −54679.1 + 26332.1i −0.533357 + 0.256851i −0.681120 0.732171i \(-0.738507\pi\)
0.147763 + 0.989023i \(0.452793\pi\)
\(102\) 111066. 53486.8i 1.05702 0.509033i
\(103\) −39779.7 + 174286.i −0.369461 + 1.61871i 0.358802 + 0.933414i \(0.383185\pi\)
−0.728262 + 0.685299i \(0.759672\pi\)
\(104\) 117022. 1.06092
\(105\) −10957.4 + 48007.4i −0.0969915 + 0.424948i
\(106\) −34800.0 43637.8i −0.300826 0.377223i
\(107\) −26962.4 118130.i −0.227667 0.997474i −0.951536 0.307537i \(-0.900495\pi\)
0.723869 0.689937i \(-0.242362\pi\)
\(108\) −1099.04 4815.22i −0.00906683 0.0397244i
\(109\) 15973.3 20029.9i 0.128774 0.161478i −0.713264 0.700895i \(-0.752784\pi\)
0.842039 + 0.539417i \(0.181355\pi\)
\(110\) 93774.6 45159.5i 0.738931 0.355850i
\(111\) 19708.7 + 9491.19i 0.151827 + 0.0731161i
\(112\) 10372.2 + 13006.3i 0.0781312 + 0.0979735i
\(113\) −114610. + 143717.i −0.844360 + 1.05879i 0.153145 + 0.988204i \(0.451060\pi\)
−0.997505 + 0.0705906i \(0.977512\pi\)
\(114\) −50483.5 24311.6i −0.363821 0.175207i
\(115\) −180037. −1.26946
\(116\) −18282.0 63991.7i −0.126148 0.441549i
\(117\) 155438. 1.04977
\(118\) 113658. + 54734.9i 0.751442 + 0.361876i
\(119\) 40648.0 50971.0i 0.263131 0.329956i
\(120\) −121108. 151864.i −0.767748 0.962726i
\(121\) −137494. 66213.5i −0.853728 0.411134i
\(122\) 8979.05 4324.08i 0.0546174 0.0263024i
\(123\) 163778. 205371.i 0.976095 1.22398i
\(124\) 8179.53 + 35836.9i 0.0477721 + 0.209303i
\(125\) 42290.9 + 185289.i 0.242088 + 1.06065i
\(126\) 32954.4 + 41323.5i 0.184921 + 0.231884i
\(127\) −34227.4 + 149960.i −0.188306 + 0.825024i 0.789203 + 0.614133i \(0.210494\pi\)
−0.977509 + 0.210892i \(0.932363\pi\)
\(128\) 25720.8 0.138759
\(129\) 48095.9 210722.i 0.254468 1.11490i
\(130\) 100871. 48577.1i 0.523491 0.252100i
\(131\) 99833.1 48077.1i 0.508272 0.244771i −0.162129 0.986770i \(-0.551836\pi\)
0.670402 + 0.741998i \(0.266122\pi\)
\(132\) −40991.2 + 179594.i −0.204765 + 0.897135i
\(133\) −29633.1 −0.145261
\(134\) −64052.1 + 280631.i −0.308157 + 1.35012i
\(135\) −9361.97 11739.5i −0.0442113 0.0554392i
\(136\) 57225.2 + 250720.i 0.265302 + 1.16236i
\(137\) −58703.2 257196.i −0.267215 1.17074i −0.913238 0.407427i \(-0.866426\pi\)
0.646023 0.763318i \(-0.276431\pi\)
\(138\) −233962. + 293379.i −1.04580 + 1.31139i
\(139\) −94360.5 + 45441.6i −0.414241 + 0.199488i −0.629384 0.777095i \(-0.716693\pi\)
0.215143 + 0.976583i \(0.430978\pi\)
\(140\) −29126.4 14026.5i −0.125593 0.0604825i
\(141\) −142321. 178465.i −0.602866 0.755970i
\(142\) 195673. 245366.i 0.814346 1.02116i
\(143\) −303982. 146390.i −1.24311 0.598648i
\(144\) −87164.0 −0.350292
\(145\) −134485. 151163.i −0.531196 0.597070i
\(146\) −282100. −1.09527
\(147\) −290039. 139676.i −1.10704 0.533123i
\(148\) −8954.00 + 11228.0i −0.0336018 + 0.0421353i
\(149\) 9548.57 + 11973.5i 0.0352349 + 0.0441831i 0.799137 0.601149i \(-0.205290\pi\)
−0.763902 + 0.645332i \(0.776719\pi\)
\(150\) 94729.9 + 45619.5i 0.343763 + 0.165547i
\(151\) 46855.6 22564.5i 0.167232 0.0805346i −0.348395 0.937348i \(-0.613273\pi\)
0.515627 + 0.856813i \(0.327559\pi\)
\(152\) 72880.7 91389.6i 0.255861 0.320839i
\(153\) 76011.2 + 333027.i 0.262512 + 1.15014i
\(154\) −25529.1 111850.i −0.0867429 0.380046i
\(155\) 69675.6 + 87370.5i 0.232944 + 0.292103i
\(156\) −44093.4 + 193186.i −0.145065 + 0.635570i
\(157\) 93020.8 0.301183 0.150592 0.988596i \(-0.451882\pi\)
0.150592 + 0.988596i \(0.451882\pi\)
\(158\) 10300.5 45129.3i 0.0328257 0.143819i
\(159\) 270582. 130305.i 0.848800 0.408761i
\(160\) 193629. 93246.8i 0.597957 0.287961i
\(161\) −44159.4 + 193475.i −0.134264 + 0.588248i
\(162\) 229523. 0.687131
\(163\) 110189. 482768.i 0.324839 1.42321i −0.503990 0.863709i \(-0.668135\pi\)
0.828829 0.559502i \(-0.189008\pi\)
\(164\) 107521. + 134828.i 0.312166 + 0.391444i
\(165\) 124619. + 545992.i 0.356349 + 1.56127i
\(166\) −74965.6 328446.i −0.211150 0.925110i
\(167\) 162153. 203333.i 0.449918 0.564179i −0.504209 0.863582i \(-0.668216\pi\)
0.954127 + 0.299403i \(0.0967874\pi\)
\(168\) −192904. + 92897.8i −0.527313 + 0.253941i
\(169\) 7536.57 + 3629.42i 0.0202982 + 0.00977509i
\(170\) 153404. + 192363.i 0.407113 + 0.510503i
\(171\) 96806.1 121391.i 0.253170 0.317465i
\(172\) 127846. + 61567.4i 0.329508 + 0.158683i
\(173\) 693104. 1.76069 0.880346 0.474333i \(-0.157311\pi\)
0.880346 + 0.474333i \(0.157311\pi\)
\(174\) −421092. + 22710.9i −1.05440 + 0.0568672i
\(175\) 55605.0 0.137252
\(176\) 170462. + 82090.3i 0.414807 + 0.199761i
\(177\) −423213. + 530692.i −1.01537 + 1.27324i
\(178\) 85886.1 + 107698.i 0.203176 + 0.254775i
\(179\) 596911. + 287457.i 1.39244 + 0.670564i 0.971613 0.236577i \(-0.0760254\pi\)
0.420828 + 0.907141i \(0.361740\pi\)
\(180\) 152610. 73493.1i 0.351076 0.169069i
\(181\) −322095. + 403894.i −0.730782 + 0.916371i −0.998894 0.0470165i \(-0.985029\pi\)
0.268113 + 0.963388i \(0.413600\pi\)
\(182\) −27461.1 120315.i −0.0614525 0.269241i
\(183\) 11932.5 + 52279.5i 0.0263392 + 0.115400i
\(184\) −488077. 612029.i −1.06278 1.33269i
\(185\) −9715.22 + 42565.2i −0.0208700 + 0.0914376i
\(186\) 232919. 0.493653
\(187\) 164990. 722870.i 0.345028 1.51167i
\(188\) 135017. 65020.9i 0.278609 0.134171i
\(189\) −14912.1 + 7181.27i −0.0303657 + 0.0146233i
\(190\) 24885.4 109030.i 0.0500105 0.219110i
\(191\) −70972.3 −0.140768 −0.0703842 0.997520i \(-0.522423\pi\)
−0.0703842 + 0.997520i \(0.522423\pi\)
\(192\) 153518. 672608.i 0.300544 1.31677i
\(193\) −454141. 569474.i −0.877601 1.10048i −0.994227 0.107301i \(-0.965779\pi\)
0.116625 0.993176i \(-0.462792\pi\)
\(194\) 115728. + 507040.i 0.220768 + 0.967247i
\(195\) 134050. + 587312.i 0.252453 + 1.10607i
\(196\) 131770. 165234.i 0.245006 0.307228i
\(197\) −712515. + 343129.i −1.30806 + 0.629929i −0.952447 0.304703i \(-0.901443\pi\)
−0.355615 + 0.934633i \(0.615728\pi\)
\(198\) 541591. + 260816.i 0.981767 + 0.472794i
\(199\) −261976. 328507.i −0.468952 0.588047i 0.489962 0.871744i \(-0.337011\pi\)
−0.958914 + 0.283697i \(0.908439\pi\)
\(200\) −136757. + 171488.i −0.241755 + 0.303151i
\(201\) −1.39544e6 672008.i −2.43624 1.17323i
\(202\) −252464. −0.435332
\(203\) −195432. + 107446.i −0.332855 + 0.182999i
\(204\) −435464. −0.732616
\(205\) 472356. + 227475.i 0.785028 + 0.378050i
\(206\) −463668. + 581421.i −0.761270 + 0.954603i
\(207\) −648304. 812947.i −1.05160 1.31867i
\(208\) 183362. + 88302.7i 0.293868 + 0.141519i
\(209\) −303644. + 146227.i −0.480838 + 0.231559i
\(210\) −127718. + 160154.i −0.199850 + 0.250604i
\(211\) 140081. + 613733.i 0.216607 + 0.949016i 0.959964 + 0.280122i \(0.0903749\pi\)
−0.743358 + 0.668894i \(0.766768\pi\)
\(212\) 43873.3 + 192221.i 0.0670440 + 0.293739i
\(213\) 1.05285e6 + 1.32024e6i 1.59008 + 1.99390i
\(214\) 112162. 491415.i 0.167422 0.733523i
\(215\) 431392. 0.636467
\(216\) 14528.0 63651.2i 0.0211871 0.0928266i
\(217\) 110982. 53445.9i 0.159993 0.0770487i
\(218\) 96020.2 46240.9i 0.136843 0.0659000i
\(219\) 337764. 1.47984e6i 0.475886 2.08499i
\(220\) −367667. −0.512151
\(221\) 177477. 777576.i 0.244433 1.07093i
\(222\) 56736.7 + 71145.5i 0.0772647 + 0.0968869i
\(223\) 256250. + 1.12270e6i 0.345065 + 1.51183i 0.788226 + 0.615386i \(0.211000\pi\)
−0.443161 + 0.896442i \(0.646143\pi\)
\(224\) −52713.4 230952.i −0.0701941 0.307541i
\(225\) −181652. + 227784.i −0.239212 + 0.299963i
\(226\) −688956. + 331784.i −0.897264 + 0.432100i
\(227\) 525305. + 252974.i 0.676623 + 0.325845i 0.740445 0.672117i \(-0.234615\pi\)
−0.0638219 + 0.997961i \(0.520329\pi\)
\(228\) 123409. + 154750.i 0.157221 + 0.197149i
\(229\) −210765. + 264291.i −0.265589 + 0.333038i −0.896687 0.442665i \(-0.854033\pi\)
0.631098 + 0.775703i \(0.282604\pi\)
\(230\) −674776. 324955.i −0.841086 0.405046i
\(231\) 617310. 0.761156
\(232\) 149285. 866976.i 0.182094 1.05752i
\(233\) −644583. −0.777838 −0.388919 0.921272i \(-0.627151\pi\)
−0.388919 + 0.921272i \(0.627151\pi\)
\(234\) 582578. + 280555.i 0.695527 + 0.334948i
\(235\) 284056. 356195.i 0.335532 0.420744i
\(236\) −277843. 348404.i −0.324728 0.407196i
\(237\) 224406. + 108068.i 0.259516 + 0.124976i
\(238\) 244347. 117671.i 0.279618 0.134657i
\(239\) 127473. 159846.i 0.144352 0.181012i −0.704399 0.709804i \(-0.748783\pi\)
0.848751 + 0.528792i \(0.177355\pi\)
\(240\) −75170.5 329343.i −0.0842402 0.369080i
\(241\) −348226. 1.52568e6i −0.386206 1.69208i −0.677564 0.735464i \(-0.736964\pi\)
0.291358 0.956614i \(-0.405893\pi\)
\(242\) −395813. 496334.i −0.434462 0.544798i
\(243\) −292987. + 1.28366e6i −0.318297 + 1.39455i
\(244\) −35204.6 −0.0378552
\(245\) 142973. 626404.i 0.152173 0.666713i
\(246\) 984515. 474117.i 1.03725 0.499515i
\(247\) −326623. + 157293.i −0.340647 + 0.164047i
\(248\) −108123. + 473718.i −0.111632 + 0.489093i
\(249\) 1.81272e6 1.85281
\(250\) −175928. + 770790.i −0.178026 + 0.779985i
\(251\) 263058. + 329865.i 0.263553 + 0.330485i 0.895946 0.444163i \(-0.146499\pi\)
−0.632393 + 0.774647i \(0.717927\pi\)
\(252\) −41546.4 182027.i −0.0412128 0.180565i
\(253\) 502228. + 2.20041e6i 0.493287 + 2.16123i
\(254\) −398952. + 500269.i −0.388004 + 0.486541i
\(255\) −1.19277e6 + 574407.i −1.14870 + 0.553183i
\(256\) 985037. + 474369.i 0.939404 + 0.452393i
\(257\) −45185.7 56661.1i −0.0426745 0.0535121i 0.760036 0.649881i \(-0.225181\pi\)
−0.802711 + 0.596369i \(0.796610\pi\)
\(258\) 560601. 702971.i 0.524330 0.657489i
\(259\) 43359.2 + 20880.7i 0.0401635 + 0.0193417i
\(260\) −395491. −0.362830
\(261\) 198292. 1.15159e6i 0.180179 1.04639i
\(262\) 460948. 0.414857
\(263\) 896661. + 431809.i 0.799353 + 0.384948i 0.788532 0.614993i \(-0.210841\pi\)
0.0108210 + 0.999941i \(0.496556\pi\)
\(264\) −1.51824e6 + 1.90381e6i −1.34069 + 1.68118i
\(265\) 373725. + 468637.i 0.326917 + 0.409941i
\(266\) −111064. 53485.7i −0.0962431 0.0463482i
\(267\) −667793. + 321592.i −0.573276 + 0.276075i
\(268\) 633973. 794977.i 0.539180 0.676110i
\(269\) −340433. 1.49153e6i −0.286847 1.25676i −0.888825 0.458247i \(-0.848477\pi\)
0.601977 0.798513i \(-0.294380\pi\)
\(270\) −13899.4 60897.3i −0.0116034 0.0508380i
\(271\) −585958. 734768.i −0.484667 0.607753i 0.478027 0.878345i \(-0.341352\pi\)
−0.962694 + 0.270592i \(0.912781\pi\)
\(272\) −99522.5 + 436037.i −0.0815641 + 0.357356i
\(273\) 664027. 0.539237
\(274\) 244202. 1.06992e6i 0.196505 0.860943i
\(275\) 569773. 274388.i 0.454329 0.218793i
\(276\) 1.19427e6 575133.i 0.943695 0.454460i
\(277\) −306802. + 1.34419e6i −0.240248 + 1.05259i 0.700544 + 0.713609i \(0.252941\pi\)
−0.940792 + 0.338985i \(0.889916\pi\)
\(278\) −435680. −0.338108
\(279\) −143618. + 629231.i −0.110458 + 0.483949i
\(280\) −266438. 334103.i −0.203096 0.254674i
\(281\) −239877. 1.05097e6i −0.181227 0.794007i −0.981047 0.193768i \(-0.937929\pi\)
0.799821 0.600239i \(-0.204928\pi\)
\(282\) −211299. 925762.i −0.158225 0.693229i
\(283\) −1.14697e6 + 1.43826e6i −0.851309 + 1.06751i 0.145631 + 0.989339i \(0.453479\pi\)
−0.996940 + 0.0781690i \(0.975093\pi\)
\(284\) −998825. + 481009.i −0.734841 + 0.353881i
\(285\) 542154. + 261088.i 0.395376 + 0.190403i
\(286\) −875094. 1.09733e6i −0.632615 0.793274i
\(287\) 360312. 451817.i 0.258211 0.323786i
\(288\) 1.11829e6 + 538542.i 0.794466 + 0.382594i
\(289\) 332894. 0.234456
\(290\) −231210. 809292.i −0.161440 0.565080i
\(291\) −2.79839e6 −1.93720
\(292\) 897827. + 432371.i 0.616220 + 0.296756i
\(293\) 804626. 1.00897e6i 0.547552 0.686608i −0.428651 0.903470i \(-0.641011\pi\)
0.976202 + 0.216862i \(0.0695823\pi\)
\(294\) −834956. 1.04700e6i −0.563372 0.706446i
\(295\) −1.22060e6 587811.i −0.816618 0.393262i
\(296\) −171036. + 82366.6i −0.113464 + 0.0546414i
\(297\) −117364. + 147170.i −0.0772047 + 0.0968116i
\(298\) 14176.4 + 62111.0i 0.00924754 + 0.0405161i
\(299\) 540236. + 2.36693e6i 0.349467 + 1.53111i
\(300\) −231572. 290382.i −0.148553 0.186280i
\(301\) 105811. 463590.i 0.0673157 0.294929i
\(302\) 216341. 0.136497
\(303\) 302279. 1.32437e6i 0.189148 0.828712i
\(304\) 183159. 88204.5i 0.113669 0.0547402i
\(305\) −96428.1 + 46437.3i −0.0593546 + 0.0285837i
\(306\) −316202. + 1.38537e6i −0.193046 + 0.845790i
\(307\) 1.61997e6 0.980982 0.490491 0.871446i \(-0.336817\pi\)
0.490491 + 0.871446i \(0.336817\pi\)
\(308\) −90181.0 + 395109.i −0.0541674 + 0.237323i
\(309\) −2.49486e6 3.12845e6i −1.48645 1.86394i
\(310\) 103445. + 453222.i 0.0611372 + 0.267860i
\(311\) 199447. + 873834.i 0.116930 + 0.512304i 0.999141 + 0.0414491i \(0.0131974\pi\)
−0.882210 + 0.470855i \(0.843945\pi\)
\(312\) −1.63313e6 + 2.04789e6i −0.949807 + 1.19102i
\(313\) −841151. + 405077.i −0.485303 + 0.233710i −0.660503 0.750823i \(-0.729657\pi\)
0.175200 + 0.984533i \(0.443943\pi\)
\(314\) 348640. + 167896.i 0.199551 + 0.0960985i
\(315\) −353905. 443782.i −0.200960 0.251996i
\(316\) −101952. + 127843.i −0.0574351 + 0.0720213i
\(317\) −297612. 143323.i −0.166342 0.0801063i 0.348860 0.937175i \(-0.386569\pi\)
−0.515202 + 0.857069i \(0.672283\pi\)
\(318\) 1.24933e6 0.692800
\(319\) −1.47235e6 + 2.06535e6i −0.810089 + 1.13636i
\(320\) 1.37697e6 0.751708
\(321\) 2.44357e6 + 1.17676e6i 1.32361 + 0.637419i
\(322\) −514718. + 645435.i −0.276649 + 0.346907i
\(323\) −496725. 622874.i −0.264917 0.332196i
\(324\) −730492. 351787.i −0.386592 0.186173i
\(325\) 612892. 295153.i 0.321867 0.155003i
\(326\) 1.28435e6 1.61052e6i 0.669327 0.839310i
\(327\) 127603. + 559067.i 0.0659923 + 0.289131i
\(328\) 507256. + 2.22243e6i 0.260341 + 1.14063i
\(329\) −313107. 392624.i −0.159479 0.199980i
\(330\) −518409. + 2.27130e6i −0.262052 + 1.14812i
\(331\) −125533. −0.0629778 −0.0314889 0.999504i \(-0.510025\pi\)
−0.0314889 + 0.999504i \(0.510025\pi\)
\(332\) −264814. + 1.16023e6i −0.131855 + 0.577694i
\(333\) −227184. + 109406.i −0.112271 + 0.0540668i
\(334\) 974747. 469413.i 0.478108 0.230245i
\(335\) 687870. 3.01376e6i 0.334884 1.46722i
\(336\) −372363. −0.179936
\(337\) 88014.0 385615.i 0.0422160 0.184960i −0.949424 0.313998i \(-0.898332\pi\)
0.991640 + 0.129037i \(0.0411887\pi\)
\(338\) 21696.1 + 27206.0i 0.0103297 + 0.0129531i
\(339\) −915569. 4.01137e6i −0.432705 1.89580i
\(340\) −193400. 847343.i −0.0907320 0.397523i
\(341\) 873471. 1.09530e6i 0.406783 0.510089i
\(342\) 581930. 280242.i 0.269033 0.129559i
\(343\) −1.38376e6 666386.i −0.635078 0.305837i
\(344\) 1.16949e6 + 1.46650e6i 0.532845 + 0.668167i
\(345\) 2.51257e6 3.15066e6i 1.13650 1.42513i
\(346\) 2.59774e6 + 1.25101e6i 1.16655 + 0.561783i
\(347\) −230859. −0.102926 −0.0514628 0.998675i \(-0.516388\pi\)
−0.0514628 + 0.998675i \(0.516388\pi\)
\(348\) 1.37500e6 + 573120.i 0.608631 + 0.253687i
\(349\) 2.33235e6 1.02501 0.512507 0.858683i \(-0.328717\pi\)
0.512507 + 0.858683i \(0.328717\pi\)
\(350\) 208406. + 100363.i 0.0909371 + 0.0437930i
\(351\) −126246. + 158307.i −0.0546952 + 0.0685857i
\(352\) −1.67980e6 2.10640e6i −0.722604 0.906117i
\(353\) −1.21575e6 585474.i −0.519287 0.250075i 0.155833 0.987783i \(-0.450194\pi\)
−0.675120 + 0.737708i \(0.735908\pi\)
\(354\) −2.54405e6 + 1.22515e6i −1.07899 + 0.519615i
\(355\) −2.10137e6 + 2.63504e6i −0.884977 + 1.10973i
\(356\) −108279. 474401.i −0.0452813 0.198390i
\(357\) 324718. + 1.42268e6i 0.134845 + 0.590796i
\(358\) 1.71837e6 + 2.15476e6i 0.708612 + 0.888571i
\(359\) −757214. + 3.31757e6i −0.310086 + 1.35858i 0.544279 + 0.838904i \(0.316803\pi\)
−0.854366 + 0.519673i \(0.826054\pi\)
\(360\) 2.23905e6 0.910557
\(361\) 470404. 2.06098e6i 0.189978 0.832348i
\(362\) −1.93621e6 + 932428.i −0.776569 + 0.373976i
\(363\) 3.07758e6 1.48208e6i 1.22586 0.590345i
\(364\) −97005.7 + 425010.i −0.0383746 + 0.168130i
\(365\) 3.02954e6 1.19027
\(366\) −49638.4 + 217480.i −0.0193693 + 0.0848626i
\(367\) 1.62298e6 + 2.03515e6i 0.628996 + 0.788736i 0.989579 0.143991i \(-0.0459936\pi\)
−0.360583 + 0.932727i \(0.617422\pi\)
\(368\) −302945. 1.32729e6i −0.116612 0.510912i
\(369\) 673778. + 2.95202e6i 0.257603 + 1.12863i
\(370\) −113240. + 141998.i −0.0430025 + 0.0539235i
\(371\) 595282. 286673.i 0.224537 0.108131i
\(372\) −741298. 356990.i −0.277738 0.133752i
\(373\) −2.48718e6 3.11882e6i −0.925624 1.16070i −0.986698 0.162562i \(-0.948024\pi\)
0.0610747 0.998133i \(-0.480547\pi\)
\(374\) 1.92311e6 2.41151e6i 0.710928 0.891475i
\(375\) −3.83276e6 1.84576e6i −1.40745 0.677794i
\(376\) 1.98094e6 0.722604
\(377\) −1.58377e6 + 2.22165e6i −0.573903 + 0.805050i
\(378\) −68851.7 −0.0247848
\(379\) 3.47641e6 + 1.67415e6i 1.24318 + 0.598682i 0.935674 0.352865i \(-0.114793\pi\)
0.307502 + 0.951547i \(0.400507\pi\)
\(380\) −246310. + 308864.i −0.0875032 + 0.109726i
\(381\) −2.14664e6 2.69180e6i −0.757611 0.950014i
\(382\) −266003. 128100.i −0.0932669 0.0449150i
\(383\) −3.92121e6 + 1.88835e6i −1.36591 + 0.657789i −0.965947 0.258742i \(-0.916692\pi\)
−0.399965 + 0.916530i \(0.630978\pi\)
\(384\) −358955. + 450116.i −0.124226 + 0.155774i
\(385\) 274163. + 1.20119e6i 0.0942665 + 0.413008i
\(386\) −674247. 2.95407e6i −0.230330 1.00914i
\(387\) 1.55341e6 + 1.94792e6i 0.527242 + 0.661140i
\(388\) 408808. 1.79110e6i 0.137861 0.604006i
\(389\) −2.77959e6 −0.931338 −0.465669 0.884959i \(-0.654186\pi\)
−0.465669 + 0.884959i \(0.654186\pi\)
\(390\) −557641. + 2.44318e6i −0.185649 + 0.813382i
\(391\) −4.80698e6 + 2.31492e6i −1.59012 + 0.765763i
\(392\) 2.51703e6 1.21214e6i 0.827318 0.398415i
\(393\) −551901. + 2.41804e6i −0.180252 + 0.789736i
\(394\) −3.28981e6 −1.06765
\(395\) −110619. + 484654.i −0.0356728 + 0.156293i
\(396\) −1.32395e6 1.66017e6i −0.424260 0.532005i
\(397\) −328536. 1.43941e6i −0.104618 0.458362i −0.999917 0.0128959i \(-0.995895\pi\)
0.895299 0.445466i \(-0.146962\pi\)
\(398\) −388946. 1.70408e6i −0.123078 0.539242i
\(399\) 413554. 518580.i 0.130047 0.163074i
\(400\) −343688. + 165511.i −0.107403 + 0.0517223i
\(401\) 1.47887e6 + 712186.i 0.459271 + 0.221173i 0.649190 0.760627i \(-0.275108\pi\)
−0.189919 + 0.981800i \(0.560822\pi\)
\(402\) −4.01715e6 5.03734e6i −1.23980 1.55466i
\(403\) 939574. 1.17819e6i 0.288183 0.361370i
\(404\) 803504. + 386947.i 0.244926 + 0.117950i
\(405\) −2.46490e6 −0.746728
\(406\) −926406. + 49964.2i −0.278924 + 0.0150433i
\(407\) 547330. 0.163781
\(408\) −5.18623e6 2.49756e6i −1.54242 0.742789i
\(409\) −1.03916e6 + 1.30307e6i −0.307167 + 0.385175i −0.911324 0.411690i \(-0.864939\pi\)
0.604157 + 0.796865i \(0.293510\pi\)
\(410\) 1.35980e6 + 1.70514e6i 0.399500 + 0.500957i
\(411\) 5.32018e6 + 2.56206e6i 1.55354 + 0.748145i
\(412\) 2.36683e6 1.13980e6i 0.686947 0.330816i
\(413\) −931071. + 1.16753e6i −0.268601 + 0.336815i
\(414\) −962514. 4.21705e6i −0.275998 1.20923i
\(415\) 805073. + 3.52726e6i 0.229464 + 1.00535i
\(416\) −1.80692e6 2.26581e6i −0.511925 0.641934i
\(417\) 521647. 2.28549e6i 0.146905 0.643633i
\(418\) −1.40198e6 −0.392465
\(419\) 1.11189e6 4.87152e6i 0.309405 1.35559i −0.546066 0.837742i \(-0.683875\pi\)
0.855471 0.517850i \(-0.173268\pi\)
\(420\) 651947. 313961.i 0.180339 0.0868465i
\(421\) −4.88304e6 + 2.35155e6i −1.34272 + 0.646619i −0.960714 0.277542i \(-0.910480\pi\)
−0.382004 + 0.924161i \(0.624766\pi\)
\(422\) −582727. + 2.55309e6i −0.159288 + 0.697888i
\(423\) 2.63124e6 0.715005
\(424\) −579950. + 2.54092e6i −0.156666 + 0.686400i
\(425\) 932081. + 1.16879e6i 0.250312 + 0.313881i
\(426\) 1.56314e6 + 6.84855e6i 0.417324 + 1.82842i
\(427\) 26251.5 + 115015.i 0.00696762 + 0.0305272i
\(428\) −1.11016e6 + 1.39209e6i −0.292937 + 0.367332i
\(429\) 6.80415e6 3.27670e6i 1.78497 0.859595i
\(430\) 1.61685e6 + 778632.i 0.421694 + 0.203077i
\(431\) 52156.4 + 65402.1i 0.0135243 + 0.0169589i 0.788548 0.614974i \(-0.210833\pi\)
−0.775023 + 0.631933i \(0.782262\pi\)
\(432\) 70794.2 88773.1i 0.0182511 0.0228861i
\(433\) 511785. + 246463.i 0.131180 + 0.0631730i 0.498323 0.866992i \(-0.333950\pi\)
−0.367142 + 0.930165i \(0.619664\pi\)
\(434\) 512423. 0.130588
\(435\) 4.52221e6 243898.i 1.14585 0.0617995i
\(436\) −376471. −0.0948453
\(437\) 2.18494e6 + 1.05221e6i 0.547313 + 0.263572i
\(438\) 3.93694e6 4.93677e6i 0.980559 1.22958i
\(439\) 2.53041e6 + 3.17303e6i 0.626656 + 0.785802i 0.989264 0.146140i \(-0.0466849\pi\)
−0.362608 + 0.931942i \(0.618113\pi\)
\(440\) −4.37880e6 2.10872e6i −1.07826 0.519262i
\(441\) 3.34332e6 1.61006e6i 0.818618 0.394225i
\(442\) 2.06865e6 2.59400e6i 0.503653 0.631561i
\(443\) 1.00183e6 + 4.38929e6i 0.242540 + 1.06264i 0.938696 + 0.344746i \(0.112035\pi\)
−0.696156 + 0.717891i \(0.745108\pi\)
\(444\) −71529.3 313391.i −0.0172197 0.0754446i
\(445\) −922351. 1.15659e6i −0.220799 0.276873i
\(446\) −1.06598e6 + 4.67038e6i −0.253754 + 1.11177i
\(447\) −342795. −0.0811458
\(448\) 337742. 1.47974e6i 0.0795041 0.348330i
\(449\) −650286. + 313161.i −0.152226 + 0.0733081i −0.508446 0.861094i \(-0.669780\pi\)
0.356220 + 0.934402i \(0.384065\pi\)
\(450\) −1.09196e6 + 525861.i −0.254201 + 0.122417i
\(451\) 1.46251e6 6.40767e6i 0.338577 1.48340i
\(452\) 2.70123e6 0.621892
\(453\) −259029. + 1.13488e6i −0.0593066 + 0.259839i
\(454\) 1.51223e6 + 1.89628e6i 0.344333 + 0.431780i
\(455\) 294911. + 1.29209e6i 0.0667825 + 0.292593i
\(456\) 582211. + 2.55083e6i 0.131120 + 0.574473i
\(457\) 3.01059e6 3.77517e6i 0.674313 0.845562i −0.320503 0.947247i \(-0.603852\pi\)
0.994817 + 0.101685i \(0.0324234\pi\)
\(458\) −1.26697e6 + 610140.i −0.282229 + 0.135914i
\(459\) −400911. 193068.i −0.0888210 0.0427740i
\(460\) 1.64952e6 + 2.06844e6i 0.363466 + 0.455772i
\(461\) −4.99584e6 + 6.26459e6i −1.09485 + 1.37290i −0.173203 + 0.984886i \(0.555412\pi\)
−0.921652 + 0.388018i \(0.873160\pi\)
\(462\) 2.31367e6 + 1.11420e6i 0.504308 + 0.242862i
\(463\) −3.20666e6 −0.695185 −0.347592 0.937646i \(-0.613001\pi\)
−0.347592 + 0.937646i \(0.613001\pi\)
\(464\) 888121. 1.24582e6i 0.191504 0.268634i
\(465\) −2.50137e6 −0.536469
\(466\) −2.41588e6 1.16343e6i −0.515360 0.248184i
\(467\) −362345. + 454366.i −0.0768830 + 0.0964082i −0.818786 0.574099i \(-0.805352\pi\)
0.741903 + 0.670508i \(0.233924\pi\)
\(468\) −1.42414e6 1.78581e6i −0.300565 0.376896i
\(469\) −3.06998e6 1.47842e6i −0.644470 0.310360i
\(470\) 1.70754e6 822308.i 0.356555 0.171708i
\(471\) −1.29818e6 + 1.62787e6i −0.269639 + 0.338117i
\(472\) −1.31078e6 5.74292e6i −0.270817 1.18653i
\(473\) −1.20340e6 5.27244e6i −0.247319 1.08358i
\(474\) 646013. + 810075.i 0.132067 + 0.165607i
\(475\) 151204. 662466.i 0.0307488 0.134719i
\(476\) −958024. −0.193802
\(477\) −770336. + 3.37506e6i −0.155019 + 0.679181i
\(478\) 766278. 369020.i 0.153397 0.0738721i
\(479\) 2.26316e6 1.08988e6i 0.450688 0.217040i −0.194750 0.980853i \(-0.562389\pi\)
0.645437 + 0.763813i \(0.276675\pi\)
\(480\) −1.07043e6 + 4.68985e6i −0.212058 + 0.929085i
\(481\) 588751. 0.116030
\(482\) 1.44860e6 6.34673e6i 0.284008 1.24432i
\(483\) −2.76954e6 3.47289e6i −0.540182 0.677366i
\(484\) 499011. + 2.18631e6i 0.0968271 + 0.424227i
\(485\) −1.24283e6 5.44522e6i −0.239916 1.05114i
\(486\) −3.41502e6 + 4.28230e6i −0.655847 + 0.822406i
\(487\) −2.96344e6 + 1.42712e6i −0.566205 + 0.272670i −0.695010 0.719000i \(-0.744600\pi\)
0.128805 + 0.991670i \(0.458886\pi\)
\(488\) −419276. 201913.i −0.0796985 0.0383808i
\(489\) 6.91068e6 + 8.66572e6i 1.30692 + 1.63883i
\(490\) 1.66647e6 2.08969e6i 0.313551 0.393180i
\(491\) 3.93138e6 + 1.89325e6i 0.735938 + 0.354409i 0.764017 0.645197i \(-0.223225\pi\)
−0.0280785 + 0.999606i \(0.508939\pi\)
\(492\) −3.86004e6 −0.718917
\(493\) −5.53439e6 2.30682e6i −1.02554 0.427461i
\(494\) −1.50808e6 −0.278040
\(495\) −5.81627e6 2.80097e6i −1.06692 0.513801i
\(496\) −526879. + 660685.i −0.0961627 + 0.120584i
\(497\) 2.31629e6 + 2.90453e6i 0.420631 + 0.527455i
\(498\) 6.79402e6 + 3.27183e6i 1.22759 + 0.591176i
\(499\) 7.89038e6 3.79981e6i 1.41856 0.683140i 0.441724 0.897151i \(-0.354367\pi\)
0.976831 + 0.214010i \(0.0686526\pi\)
\(500\) 1.74129e6 2.18351e6i 0.311492 0.390599i
\(501\) 1.29536e6 + 5.67536e6i 0.230567 + 1.01018i
\(502\) 390554. + 1.71113e6i 0.0691706 + 0.303056i
\(503\) −3.10840e6 3.89781e6i −0.547793 0.686911i 0.428456 0.903563i \(-0.359058\pi\)
−0.976249 + 0.216652i \(0.930486\pi\)
\(504\) 549192. 2.40617e6i 0.0963047 0.421938i
\(505\) 2.71127e6 0.473090
\(506\) −2.08924e6 + 9.15356e6i −0.362754 + 1.58933i
\(507\) −168694. + 81238.8i −0.0291461 + 0.0140360i
\(508\) 2.03648e6 980716.i 0.350123 0.168610i
\(509\) 40305.2 176589.i 0.00689552 0.0302113i −0.971363 0.237600i \(-0.923639\pi\)
0.978259 + 0.207389i \(0.0664965\pi\)
\(510\) −5.50723e6 −0.937579
\(511\) 743083. 3.25566e6i 0.125888 0.551552i
\(512\) 2.32252e6 + 2.91235e6i 0.391547 + 0.490985i
\(513\) 45006.5 + 197186.i 0.00755061 + 0.0330814i
\(514\) −67085.7 293922.i −0.0112001 0.0490709i
\(515\) 4.97943e6 6.24401e6i 0.827298 1.03740i
\(516\) −2.86163e6 + 1.37809e6i −0.473139 + 0.227852i
\(517\) −5.14578e6 2.47808e6i −0.846691 0.407745i
\(518\) 124821. + 156521.i 0.0204392 + 0.0256299i
\(519\) −9.67283e6 + 1.21293e7i −1.57629 + 1.97660i
\(520\) −4.71017e6 2.26830e6i −0.763886 0.367868i
\(521\) −4.84333e6 −0.781717 −0.390858 0.920451i \(-0.627822\pi\)
−0.390858 + 0.920451i \(0.627822\pi\)
\(522\) 2.82173e6 3.95822e6i 0.453252 0.635804i
\(523\) −5.01126e6 −0.801110 −0.400555 0.916273i \(-0.631183\pi\)
−0.400555 + 0.916273i \(0.631183\pi\)
\(524\) −1.46704e6 706488.i −0.233406 0.112403i
\(525\) −776013. + 973090.i −0.122877 + 0.154083i
\(526\) 2.58128e6 + 3.23682e6i 0.406790 + 0.510099i
\(527\) 2.98374e6 + 1.43689e6i 0.467988 + 0.225371i
\(528\) −3.81552e6 + 1.83746e6i −0.595620 + 0.286835i
\(529\) 6.11292e6 7.66537e6i 0.949751 1.19095i
\(530\) 554857. + 2.43099e6i 0.0858009 + 0.375918i
\(531\) −1.74109e6 7.62821e6i −0.267969 1.17405i
\(532\) 271502. + 340452.i 0.0415904 + 0.0521527i
\(533\) 1.57319e6 6.89259e6i 0.239863 1.05091i
\(534\) −3.08333e6 −0.467914
\(535\) −1.20454e6 + 5.27742e6i −0.181943 + 0.797144i
\(536\) 1.21099e7 5.83183e6i 1.82066 0.876785i
\(537\) −1.33609e7 + 6.43426e6i −1.99940 + 0.962859i
\(538\) 1.41618e6 6.20469e6i 0.210942 0.924197i
\(539\) −8.05470e6 −1.19420
\(540\) −49099.3 + 215118.i −0.00724587 + 0.0317462i
\(541\) 2.95300e6 + 3.70294e6i 0.433780 + 0.543943i 0.949892 0.312578i \(-0.101193\pi\)
−0.516112 + 0.856521i \(0.672621\pi\)
\(542\) −869952. 3.81151e6i −0.127203 0.557312i
\(543\) −2.57307e6 1.12733e7i −0.374500 1.64079i
\(544\) 3.97090e6 4.97936e6i 0.575297 0.721400i
\(545\) −1.03118e6 + 496592.i −0.148712 + 0.0716157i
\(546\) 2.48876e6 + 1.19852e6i 0.357274 + 0.172054i
\(547\) 1.87889e6 + 2.35605e6i 0.268493 + 0.336680i 0.897740 0.440526i \(-0.145208\pi\)
−0.629247 + 0.777205i \(0.716637\pi\)
\(548\) −2.41705e6 + 3.03089e6i −0.343823 + 0.431141i
\(549\) −556916. 268197.i −0.0788604 0.0379772i
\(550\) 2.63075e6 0.370828
\(551\) 748661. + 2.62050e6i 0.105052 + 0.367710i
\(552\) 1.75220e7 2.44758
\(553\) 493695. + 237751.i 0.0686509 + 0.0330605i
\(554\) −3.57606e6 + 4.48423e6i −0.495028 + 0.620746i
\(555\) −609308. 764048.i −0.0839662 0.105290i
\(556\) 1.38662e6 + 667759.i 0.190226 + 0.0916079i
\(557\) −2.98626e6 + 1.43811e6i −0.407840 + 0.196405i −0.626544 0.779386i \(-0.715531\pi\)
0.218704 + 0.975791i \(0.429817\pi\)
\(558\) −1.67400e6 + 2.09912e6i −0.227598 + 0.285399i
\(559\) −1.29447e6 5.67145e6i −0.175212 0.767653i
\(560\) −165376. 724558.i −0.0222844 0.0976345i
\(561\) 1.03477e7 + 1.29756e7i 1.38815 + 1.74068i
\(562\) 997873. 4.37197e6i 0.133271 0.583897i
\(563\) 3.23275e6 0.429834 0.214917 0.976632i \(-0.431052\pi\)
0.214917 + 0.976632i \(0.431052\pi\)
\(564\) −746408. + 3.27023e6i −0.0988050 + 0.432893i
\(565\) 7.39886e6 3.56310e6i 0.975088 0.469577i
\(566\) −6.89479e6 + 3.32036e6i −0.904649 + 0.435656i
\(567\) −604589. + 2.64888e6i −0.0789774 + 0.346023i
\(568\) −1.46545e7 −1.90590
\(569\) 594807. 2.60602e6i 0.0770186 0.337440i −0.921708 0.387884i \(-0.873206\pi\)
0.998727 + 0.0504432i \(0.0160634\pi\)
\(570\) 1.56074e6 + 1.95710e6i 0.201207 + 0.252305i
\(571\) 1.66421e6 + 7.29139e6i 0.213609 + 0.935880i 0.962092 + 0.272726i \(0.0879254\pi\)
−0.748483 + 0.663154i \(0.769217\pi\)
\(572\) 1.10325e6 + 4.83367e6i 0.140989 + 0.617713i
\(573\) 990476. 1.24202e6i 0.126025 0.158031i
\(574\) 2.16594e6 1.04306e6i 0.274389 0.132139i
\(575\) −4.09993e6 1.97442e6i −0.517139 0.249041i
\(576\) 4.95838e6 + 6.21761e6i 0.622707 + 0.780849i
\(577\) −4.50750e6 + 5.65223e6i −0.563633 + 0.706774i −0.979225 0.202778i \(-0.935003\pi\)
0.415592 + 0.909551i \(0.363575\pi\)
\(578\) 1.24768e6 + 600850.i 0.155340 + 0.0748077i
\(579\) 1.63037e7 2.02111
\(580\) −504529. + 2.93006e6i −0.0622753 + 0.361665i
\(581\) 3.98799e6 0.490133
\(582\) −1.04883e7 5.05090e6i −1.28350 0.618103i
\(583\) 4.68511e6 5.87495e6i 0.570885 0.715867i
\(584\) 8.21301e6 + 1.02988e7i 0.996484 + 1.24955i
\(585\) −6.25643e6 3.01294e6i −0.755853 0.364000i
\(586\) 4.83684e6 2.32930e6i 0.581859 0.280208i
\(587\) −5.06486e6 + 6.35114e6i −0.606698 + 0.760775i −0.986405 0.164332i \(-0.947453\pi\)
0.379707 + 0.925107i \(0.376025\pi\)
\(588\) 1.05265e6 + 4.61196e6i 0.125557 + 0.550101i
\(589\) −334957. 1.46754e6i −0.0397833 0.174302i
\(590\) −3.51383e6 4.40620e6i −0.415576 0.521116i
\(591\) 3.93895e6 1.72577e7i 0.463887 2.03242i
\(592\) −330150. −0.0387175
\(593\) 820917. 3.59667e6i 0.0958656 0.420014i −0.904108 0.427304i \(-0.859463\pi\)
0.999973 + 0.00728983i \(0.00232044\pi\)
\(594\) −705509. + 339755.i −0.0820420 + 0.0395094i
\(595\) −2.62410e6 + 1.26370e6i −0.303870 + 0.146336i
\(596\) 50077.9 219406.i 0.00577471 0.0253007i
\(597\) 9.40497e6 1.07999
\(598\) −2.24735e6 + 9.84629e6i −0.256991 + 1.12595i
\(599\) 511964. + 641982.i 0.0583005 + 0.0731065i 0.810127 0.586255i \(-0.199398\pi\)
−0.751826 + 0.659361i \(0.770827\pi\)
\(600\) −1.09249e6 4.78651e6i −0.123891 0.542801i
\(601\) −628608. 2.75411e6i −0.0709895 0.311025i 0.926950 0.375184i \(-0.122421\pi\)
−0.997940 + 0.0641591i \(0.979563\pi\)
\(602\) 1.23333e6 1.54654e6i 0.138703 0.173928i
\(603\) 1.60854e7 7.74631e6i 1.80152 0.867565i
\(604\) −688538. 331582.i −0.0767954 0.0369827i
\(605\) 4.25073e6 + 5.33024e6i 0.472144 + 0.592050i
\(606\) 3.52334e6 4.41812e6i 0.389738 0.488716i
\(607\) −9.07167e6 4.36869e6i −0.999345 0.481259i −0.138629 0.990344i \(-0.544270\pi\)
−0.860716 + 0.509085i \(0.829984\pi\)
\(608\) −2.89486e6 −0.317591
\(609\) 847101. 4.91956e6i 0.0925533 0.537505i
\(610\) −445227. −0.0484459
\(611\) −5.53521e6 2.66561e6i −0.599833 0.288865i
\(612\) 3.12970e6 3.92451e6i 0.337772 0.423553i
\(613\) 3.95460e6 + 4.95891e6i 0.425061 + 0.533009i 0.947538 0.319644i \(-0.103563\pi\)
−0.522477 + 0.852653i \(0.674992\pi\)
\(614\) 6.07161e6 + 2.92393e6i 0.649955 + 0.313002i
\(615\) −1.05729e7 + 5.09166e6i −1.12722 + 0.542839i
\(616\) −3.34013e6 + 4.18839e6i −0.354660 + 0.444729i
\(617\) 3.69107e6 + 1.61717e7i 0.390337 + 1.71018i 0.663470 + 0.748203i \(0.269083\pi\)
−0.273133 + 0.961976i \(0.588060\pi\)
\(618\) −3.70403e6 1.62284e7i −0.390124 1.70925i
\(619\) −1.72662e6 2.16511e6i −0.181122 0.227119i 0.682980 0.730437i \(-0.260684\pi\)
−0.864101 + 0.503318i \(0.832112\pi\)
\(620\) 365417. 1.60100e6i 0.0381777 0.167267i
\(621\) 1.35450e6 0.140946
\(622\) −829688. + 3.63510e6i −0.0859882 + 0.376739i
\(623\) −1.46915e6 + 707505.i −0.151651 + 0.0730314i
\(624\) −4.10427e6 + 1.97651e6i −0.421963 + 0.203207i
\(625\) 1.10412e6 4.83747e6i 0.113062 0.495357i
\(626\) −3.88375e6 −0.396110
\(627\) 1.67862e6 7.35450e6i 0.170523 0.747109i
\(628\) −852267. 1.06871e6i −0.0862336 0.108134i
\(629\) 287907. + 1.26140e6i 0.0290152 + 0.127124i
\(630\) −525430. 2.30206e6i −0.0527428 0.231081i
\(631\) 815403. 1.02248e6i 0.0815265 0.102231i −0.739395 0.673271i \(-0.764889\pi\)
0.820922 + 0.571040i \(0.193460\pi\)
\(632\) −1.94745e6 + 937841.i −0.193942 + 0.0933977i
\(633\) −1.26953e7 6.11373e6i −1.25931 0.606453i
\(634\) −856757. 1.07434e6i −0.0846515 0.106150i
\(635\) 4.28443e6 5.37251e6i 0.421657 0.528741i
\(636\) −3.97617e6 1.91482e6i −0.389782 0.187709i
\(637\) −8.66426e6 −0.846025
\(638\) −9.24613e6 + 5.08341e6i −0.899308 + 0.494428i
\(639\) −1.94652e7 −1.88585
\(640\) −1.03527e6 498562.i −0.0999092 0.0481137i
\(641\) 4.72289e6 5.92232e6i 0.454007 0.569307i −0.501167 0.865350i \(-0.667096\pi\)
0.955175 + 0.296043i \(0.0956673\pi\)
\(642\) 7.03446e6 + 8.82093e6i 0.673586 + 0.844651i
\(643\) −5.50792e6 2.65247e6i −0.525364 0.253002i 0.152351 0.988326i \(-0.451315\pi\)
−0.677715 + 0.735325i \(0.737030\pi\)
\(644\) 2.62741e6 1.26530e6i 0.249640 0.120220i
\(645\) −6.02042e6 + 7.54937e6i −0.569807 + 0.714515i
\(646\) −737471. 3.23107e6i −0.0695286 0.304625i
\(647\) 3.00250e6 + 1.31548e7i 0.281983 + 1.23545i 0.895248 + 0.445569i \(0.146999\pi\)
−0.613265 + 0.789877i \(0.710144\pi\)
\(648\) −6.68229e6 8.37933e6i −0.625155 0.783920i
\(649\) −3.77922e6 + 1.65579e7i −0.352201 + 1.54309i
\(650\) 2.82984e6 0.262711
\(651\) −613533. + 2.68806e6i −0.0567395 + 0.248592i
\(652\) −6.55605e6 + 3.15723e6i −0.603981 + 0.290862i
\(653\) 7.44891e6 3.58721e6i 0.683612 0.329210i −0.0596416 0.998220i \(-0.518996\pi\)
0.743254 + 0.669010i \(0.233281\pi\)
\(654\) −530823. + 2.32569e6i −0.0485294 + 0.212621i
\(655\) −4.95023e6 −0.450840
\(656\) −882188. + 3.86512e6i −0.0800389 + 0.350674i
\(657\) 1.09092e7 + 1.36797e7i 0.986005 + 1.23641i
\(658\) −464860. 2.03668e6i −0.0418559 0.183383i
\(659\) 761696. + 3.33721e6i 0.0683231 + 0.299343i 0.997532 0.0702114i \(-0.0223674\pi\)
−0.929209 + 0.369555i \(0.879510\pi\)
\(660\) 5.13109e6 6.43418e6i 0.458511 0.574955i
\(661\) 2.15007e6 1.03542e6i 0.191403 0.0921747i −0.335728 0.941959i \(-0.608982\pi\)
0.527130 + 0.849784i \(0.323268\pi\)
\(662\) −470494. 226578.i −0.0417262 0.0200943i
\(663\) 1.11308e7 + 1.39576e7i 0.983426 + 1.23318i
\(664\) −9.80821e6 + 1.22991e7i −0.863316 + 1.08256i
\(665\) 1.19274e6 + 574395.i 0.104591 + 0.0503682i
\(666\) −1.04895e6 −0.0916367
\(667\) 1.82250e7 982934.i 1.58618 0.0855480i
\(668\) −3.82174e6 −0.331375
\(669\) −2.32235e7 1.11838e7i −2.00615 0.966109i
\(670\) 8.01774e6 1.00539e7i 0.690026 0.865265i
\(671\) 836548. + 1.04900e6i 0.0717273 + 0.0899432i
\(672\) 4.77733e6 + 2.30064e6i 0.408096 + 0.196529i
\(673\) 1.14347e7 5.50668e6i 0.973169 0.468654i 0.121419 0.992601i \(-0.461256\pi\)
0.851750 + 0.523948i \(0.175541\pi\)
\(674\) 1.02588e6 1.28642e6i 0.0869857 0.109077i
\(675\) −84452.6 370011.i −0.00713433 0.0312576i
\(676\) −27352.8 119840.i −0.00230216 0.0100864i
\(677\) −7.45761e6 9.35155e6i −0.625357 0.784173i 0.363730 0.931504i \(-0.381503\pi\)
−0.989087 + 0.147331i \(0.952932\pi\)
\(678\) 3.80871e6 1.66871e7i 0.318203 1.39414i
\(679\) −6.15647e6 −0.512457
\(680\) 2.55651e6 1.12008e7i 0.212019 0.928918i
\(681\) −1.17581e7 + 5.66241e6i −0.971560 + 0.467879i
\(682\) 5.25069e6 2.52860e6i 0.432270 0.208170i
\(683\) −1.88755e6 + 8.26990e6i −0.154827 + 0.678342i 0.836615 + 0.547792i \(0.184531\pi\)
−0.991442 + 0.130550i \(0.958326\pi\)
\(684\) −2.28160e6 −0.186466
\(685\) −2.62254e6 + 1.14901e7i −0.213548 + 0.935615i
\(686\) −3.98354e6 4.99520e6i −0.323190 0.405268i
\(687\) −1.68370e6 7.37678e6i −0.136105 0.596314i
\(688\) 725893. + 3.18035e6i 0.0584658 + 0.256155i
\(689\) 5.03967e6 6.31955e6i 0.404440 0.507152i
\(690\) 1.51038e7 7.27360e6i 1.20771 0.581603i
\(691\) −9.84091e6 4.73913e6i −0.784044 0.377576i −0.00136311 0.999999i \(-0.500434\pi\)
−0.782681 + 0.622423i \(0.786148\pi\)
\(692\) −6.35030e6 7.96302e6i −0.504114 0.632139i
\(693\) −4.43663e6 + 5.56336e6i −0.350930 + 0.440052i
\(694\) −865255. 416685.i −0.0681939 0.0328405i
\(695\) 4.67887e6 0.367433
\(696\) 1.30887e7 + 1.47118e7i 1.02417 + 1.15118i
\(697\) 1.55367e7 1.21137
\(698\) 8.74159e6 + 4.20973e6i 0.679129 + 0.327051i
\(699\) 8.99568e6 1.12802e7i 0.696371 0.873222i
\(700\) −509460. 638842.i −0.0392975 0.0492775i
\(701\) 297204. + 143126.i 0.0228433 + 0.0110008i 0.445271 0.895396i \(-0.353108\pi\)
−0.422427 + 0.906397i \(0.638822\pi\)
\(702\) −758901. + 365467.i −0.0581222 + 0.0279902i
\(703\) 366672. 459792.i 0.0279827 0.0350892i
\(704\) −3.84116e6 1.68292e7i −0.292100 1.27977i
\(705\) 2.26919e6 + 9.94197e6i 0.171948 + 0.753355i
\(706\) −3.49986e6 4.38869e6i −0.264265 0.331377i
\(707\) 665017. 2.91363e6i 0.0500362 0.219223i
\(708\) 9.97460e6 0.747847
\(709\) −2.95162e6 + 1.29319e7i −0.220518 + 0.966153i 0.736571 + 0.676360i \(0.236444\pi\)
−0.957089 + 0.289793i \(0.906413\pi\)
\(710\) −1.26320e7 + 6.08323e6i −0.940426 + 0.452885i
\(711\) −2.58676e6 + 1.24572e6i −0.191903 + 0.0924156i
\(712\) 1.43131e6 6.27098e6i 0.105812 0.463592i
\(713\) −1.00808e7 −0.742626
\(714\) −1.35081e6 + 5.91828e6i −0.0991627 + 0.434460i
\(715\) 9.39784e6 + 1.17845e7i 0.687484 + 0.862078i
\(716\) −2.16639e6 9.49157e6i −0.157926 0.691920i
\(717\) 1.01832e6 + 4.46157e6i 0.0739756 + 0.324108i
\(718\) −8.82601e6 + 1.10675e7i −0.638930 + 0.801193i
\(719\) 1.61405e7 7.77287e6i 1.16438 0.560737i 0.251059 0.967972i \(-0.419221\pi\)
0.913323 + 0.407235i \(0.133507\pi\)
\(720\) 3.50838e6 + 1.68955e6i 0.252218 + 0.121462i
\(721\) −5.48870e6 6.88261e6i −0.393216 0.493078i
\(722\) 5.48298e6 6.87545e6i 0.391448 0.490860i
\(723\) 3.15592e7 + 1.51981e7i 2.24533 + 1.08129i
\(724\) 7.59138e6 0.538238
\(725\) −1.40483e6 4.91724e6i −0.0992607 0.347437i
\(726\) 1.42097e7 1.00056
\(727\) 1.32496e7 + 6.38065e6i 0.929748 + 0.447743i 0.836541 0.547904i \(-0.184574\pi\)
0.0932064 + 0.995647i \(0.470288\pi\)
\(728\) −3.59291e6 + 4.50536e6i −0.251257 + 0.315066i
\(729\) −1.00158e7 1.25594e7i −0.698018 0.875286i
\(730\) 1.13547e7 + 5.46811e6i 0.788618 + 0.379779i
\(731\) 1.15181e7 5.54683e6i 0.797238 0.383930i
\(732\) 491309. 616082.i 0.0338904 0.0424973i
\(733\) 3.86303e6 + 1.69250e7i 0.265563 + 1.16351i 0.915115 + 0.403192i \(0.132099\pi\)
−0.649552 + 0.760317i \(0.725044\pi\)
\(734\) 2.40958e6 + 1.05571e7i 0.165083 + 0.723275i
\(735\) 8.96679e6 + 1.12440e7i 0.612235 + 0.767719i
\(736\) −4.31393e6 + 1.89006e7i −0.293548 + 1.28612i
\(737\) −3.87528e7 −2.62805
\(738\) −2.80288e6 + 1.22802e7i −0.189436 + 0.829975i
\(739\) 9.51333e6 4.58138e6i 0.640799 0.308592i −0.0851223 0.996371i \(-0.527128\pi\)
0.725921 + 0.687778i \(0.241414\pi\)
\(740\) 578040. 278369.i 0.0388042 0.0186871i
\(741\) 1.80565e6 7.91107e6i 0.120806 0.529285i
\(742\) 2.74853e6 0.183269
\(743\) 2.48152e6 1.08722e7i 0.164909 0.722515i −0.823072 0.567938i \(-0.807741\pi\)
0.987981 0.154577i \(-0.0494014\pi\)
\(744\) −6.78114e6 8.50328e6i −0.449128 0.563189i
\(745\) −152244. 667025.i −0.0100496 0.0440302i
\(746\) −3.69263e6 1.61784e7i −0.242934 1.06436i
\(747\) −1.30281e7 + 1.63367e7i −0.854237 + 1.07118i
\(748\) −9.81667e6 + 4.72746e6i −0.641520 + 0.308940i
\(749\) 5.37586e6 + 2.58888e6i 0.350142 + 0.168619i
\(750\) −1.10336e7 1.38357e7i −0.716252 0.898151i
\(751\) 1.24871e7 1.56583e7i 0.807908 1.01308i −0.191593 0.981475i \(-0.561365\pi\)
0.999500 0.0316095i \(-0.0100633\pi\)
\(752\) 3.10394e6 + 1.49478e6i 0.200156 + 0.0963902i
\(753\) −9.44384e6 −0.606961
\(754\) −9.94587e6 + 5.46811e6i −0.637110 + 0.350275i
\(755\) −2.32334e6 −0.148335
\(756\) 219131. + 105528.i 0.0139444 + 0.00671526i
\(757\) −1.42366e6 + 1.78521e6i −0.0902956 + 0.113227i −0.824927 0.565240i \(-0.808784\pi\)
0.734631 + 0.678467i \(0.237355\pi\)
\(758\) 1.00078e7 + 1.25494e7i 0.632652 + 0.793320i
\(759\) −4.55162e7 2.19194e7i −2.86788 1.38110i
\(760\) −4.70493e6 + 2.26578e6i −0.295474 + 0.142293i
\(761\) 1.20012e7 1.50491e7i 0.751215 0.941993i −0.248430 0.968650i \(-0.579915\pi\)
0.999645 + 0.0266564i \(0.00848600\pi\)
\(762\) −3.18704e6 1.39633e7i −0.198838 0.871168i
\(763\) 280729. + 1.22995e6i 0.0174572 + 0.0764851i
\(764\) 650256. + 815395.i 0.0403043 + 0.0505399i
\(765\) 3.39577e6 1.48778e7i 0.209790 0.919149i
\(766\) −1.81049e7 −1.11487
\(767\) −4.06523e6 + 1.78109e7i −0.249515 + 1.09320i
\(768\) −2.20485e7 + 1.06180e7i −1.34889 + 0.649589i