Properties

Label 29.6.d.a.7.2
Level $29$
Weight $6$
Character 29.7
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 7.2
Character \(\chi\) \(=\) 29.7
Dual form 29.6.d.a.25.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.89325 - 8.29487i) q^{2} +(14.6426 + 7.05150i) q^{3} +(-36.3895 + 17.5242i) q^{4} +(-19.7959 - 86.7313i) q^{5} +(30.7692 - 134.809i) q^{6} +(23.9398 + 11.5288i) q^{7} +(44.5031 + 55.8051i) q^{8} +(13.1736 + 16.5192i) q^{9} +O(q^{10})\) \(q+(-1.89325 - 8.29487i) q^{2} +(14.6426 + 7.05150i) q^{3} +(-36.3895 + 17.5242i) q^{4} +(-19.7959 - 86.7313i) q^{5} +(30.7692 - 134.809i) q^{6} +(23.9398 + 11.5288i) q^{7} +(44.5031 + 55.8051i) q^{8} +(13.1736 + 16.5192i) q^{9} +(-681.946 + 328.408i) q^{10} +(-69.7923 + 87.5168i) q^{11} -656.408 q^{12} +(-33.6503 + 42.1961i) q^{13} +(50.3059 - 220.405i) q^{14} +(321.723 - 1409.56i) q^{15} +(-427.193 + 535.683i) q^{16} +1908.24 q^{17} +(112.083 - 140.548i) q^{18} +(1110.97 - 535.015i) q^{19} +(2240.26 + 2809.20i) q^{20} +(269.246 + 337.623i) q^{21} +(858.075 + 413.227i) q^{22} +(755.078 - 3308.21i) q^{23} +(258.131 + 1130.94i) q^{24} +(-4314.91 + 2077.95i) q^{25} +(413.720 + 199.237i) q^{26} +(-802.379 - 3515.45i) q^{27} -1073.19 q^{28} +(3016.57 + 3378.09i) q^{29} -12301.2 q^{30} +(1812.67 + 7941.84i) q^{31} +(7310.08 + 3520.35i) q^{32} +(-1639.06 + 789.332i) q^{33} +(-3612.77 - 15828.6i) q^{34} +(526.000 - 2304.56i) q^{35} +(-768.866 - 370.266i) q^{36} +(8058.71 + 10105.3i) q^{37} +(-6541.23 - 8202.44i) q^{38} +(-790.273 + 380.575i) q^{39} +(3959.07 - 4964.52i) q^{40} -1885.90 q^{41} +(2290.79 - 2872.56i) q^{42} +(4234.14 - 18551.0i) q^{43} +(1006.04 - 4407.75i) q^{44} +(1171.95 - 1469.57i) q^{45} -28870.7 q^{46} +(-5268.22 + 6606.13i) q^{47} +(-10032.6 + 4831.43i) q^{48} +(-10038.8 - 12588.2i) q^{49} +(25405.6 + 31857.6i) q^{50} +(27941.5 + 13455.9i) q^{51} +(485.061 - 2125.19i) q^{52} +(5275.53 + 23113.6i) q^{53} +(-27641.1 + 13311.3i) q^{54} +(8972.04 + 4320.71i) q^{55} +(422.030 + 1849.03i) q^{56} +20040.1 q^{57} +(22309.7 - 31417.6i) q^{58} -20440.0 q^{59} +(12994.2 + 56931.1i) q^{60} +(-33173.0 - 15975.3i) q^{61} +(62444.7 - 30071.8i) q^{62} +(124.927 + 547.342i) q^{63} +(10482.2 - 45925.6i) q^{64} +(4325.86 + 2083.22i) q^{65} +(9650.56 + 12101.4i) q^{66} +(-11015.3 - 13812.7i) q^{67} +(-69439.7 + 33440.4i) q^{68} +(34384.1 - 43116.3i) q^{69} -20111.8 q^{70} +(1920.18 - 2407.83i) q^{71} +(-335.588 + 1470.31i) q^{72} +(-12188.9 + 53403.2i) q^{73} +(68565.0 - 85977.8i) q^{74} -77834.2 q^{75} +(-31051.9 + 38937.9i) q^{76} +(-2679.78 + 1290.51i) q^{77} +(4653.01 + 5834.68i) q^{78} +(25954.5 + 32546.0i) q^{79} +(54917.1 + 26446.7i) q^{80} +(14182.8 - 62138.9i) q^{81} +(3570.49 + 15643.3i) q^{82} +(-42077.9 + 20263.7i) q^{83} +(-15714.3 - 7567.60i) q^{84} +(-37775.2 - 165504. i) q^{85} -161894. q^{86} +(20349.8 + 70735.2i) q^{87} -7989.86 q^{88} +(-11733.1 - 51406.2i) q^{89} +(-14408.7 - 6938.87i) q^{90} +(-1292.05 + 622.220i) q^{91} +(30497.0 + 133616. i) q^{92} +(-29459.7 + 129071. i) q^{93} +(64771.1 + 31192.1i) q^{94} +(-68395.2 - 85764.9i) q^{95} +(82214.8 + 103094. i) q^{96} +(47459.8 - 22855.4i) q^{97} +(-85411.9 + 107103. i) q^{98} -2365.12 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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.89325 8.29487i −0.334682 1.46634i −0.809950 0.586499i \(-0.800506\pi\)
0.475268 0.879841i \(-0.342351\pi\)
\(3\) 14.6426 + 7.05150i 0.939322 + 0.452354i 0.839930 0.542695i \(-0.182596\pi\)
0.0993920 + 0.995048i \(0.468310\pi\)
\(4\) −36.3895 + 17.5242i −1.13717 + 0.547633i
\(5\) −19.7959 86.7313i −0.354119 1.55150i −0.767567 0.640969i \(-0.778533\pi\)
0.413448 0.910528i \(-0.364324\pi\)
\(6\) 30.7692 134.809i 0.348930 1.52876i
\(7\) 23.9398 + 11.5288i 0.184661 + 0.0889282i 0.523930 0.851761i \(-0.324465\pi\)
−0.339269 + 0.940689i \(0.610180\pi\)
\(8\) 44.5031 + 55.8051i 0.245847 + 0.308283i
\(9\) 13.1736 + 16.5192i 0.0542123 + 0.0679801i
\(10\) −681.946 + 328.408i −2.15650 + 1.03852i
\(11\) −69.7923 + 87.5168i −0.173911 + 0.218077i −0.861146 0.508358i \(-0.830253\pi\)
0.687235 + 0.726435i \(0.258824\pi\)
\(12\) −656.408 −1.31589
\(13\) −33.6503 + 42.1961i −0.0552243 + 0.0692491i −0.808677 0.588254i \(-0.799816\pi\)
0.753452 + 0.657503i \(0.228387\pi\)
\(14\) 50.3059 220.405i 0.0685960 0.300539i
\(15\) 321.723 1409.56i 0.369193 1.61754i
\(16\) −427.193 + 535.683i −0.417180 + 0.523128i
\(17\) 1908.24 1.60144 0.800718 0.599041i \(-0.204451\pi\)
0.800718 + 0.599041i \(0.204451\pi\)
\(18\) 112.083 140.548i 0.0815380 0.102245i
\(19\) 1110.97 535.015i 0.706023 0.340003i −0.0461811 0.998933i \(-0.514705\pi\)
0.752204 + 0.658930i \(0.228991\pi\)
\(20\) 2240.26 + 2809.20i 1.25234 + 1.57039i
\(21\) 269.246 + 337.623i 0.133229 + 0.167064i
\(22\) 858.075 + 413.227i 0.377980 + 0.182025i
\(23\) 755.078 3308.21i 0.297627 1.30399i −0.576023 0.817433i \(-0.695396\pi\)
0.873650 0.486555i \(-0.161747\pi\)
\(24\) 258.131 + 1130.94i 0.0914769 + 0.400787i
\(25\) −4314.91 + 2077.95i −1.38077 + 0.664945i
\(26\) 413.720 + 199.237i 0.120025 + 0.0578011i
\(27\) −802.379 3515.45i −0.211822 0.928051i
\(28\) −1073.19 −0.258691
\(29\) 3016.57 + 3378.09i 0.666067 + 0.745892i
\(30\) −12301.2 −2.49543
\(31\) 1812.67 + 7941.84i 0.338778 + 1.48428i 0.801615 + 0.597841i \(0.203975\pi\)
−0.462837 + 0.886444i \(0.653168\pi\)
\(32\) 7310.08 + 3520.35i 1.26197 + 0.607730i
\(33\) −1639.06 + 789.332i −0.262006 + 0.126175i
\(34\) −3612.77 15828.6i −0.535973 2.34825i
\(35\) 526.000 2304.56i 0.0725797 0.317993i
\(36\) −768.866 370.266i −0.0988768 0.0476166i
\(37\) 8058.71 + 10105.3i 0.967746 + 1.21352i 0.976931 + 0.213557i \(0.0685050\pi\)
−0.00918457 + 0.999958i \(0.502924\pi\)
\(38\) −6541.23 8202.44i −0.734853 0.921476i
\(39\) −790.273 + 380.575i −0.0831985 + 0.0400663i
\(40\) 3959.07 4964.52i 0.391240 0.490600i
\(41\) −1885.90 −0.175210 −0.0876052 0.996155i \(-0.527921\pi\)
−0.0876052 + 0.996155i \(0.527921\pi\)
\(42\) 2290.79 2872.56i 0.200384 0.251273i
\(43\) 4234.14 18551.0i 0.349216 1.53002i −0.429749 0.902949i \(-0.641398\pi\)
0.778965 0.627068i \(-0.215745\pi\)
\(44\) 1006.04 4407.75i 0.0783400 0.343230i
\(45\) 1171.95 1469.57i 0.0862733 0.108183i
\(46\) −28870.7 −2.01170
\(47\) −5268.22 + 6606.13i −0.347872 + 0.436217i −0.924728 0.380628i \(-0.875708\pi\)
0.576857 + 0.816845i \(0.304279\pi\)
\(48\) −10032.6 + 4831.43i −0.628505 + 0.302672i
\(49\) −10038.8 12588.2i −0.597298 0.748988i
\(50\) 25405.6 + 31857.6i 1.43716 + 1.80214i
\(51\) 27941.5 + 13455.9i 1.50427 + 0.724416i
\(52\) 485.061 2125.19i 0.0248764 0.108991i
\(53\) 5275.53 + 23113.6i 0.257974 + 1.13026i 0.923413 + 0.383807i \(0.125387\pi\)
−0.665439 + 0.746452i \(0.731756\pi\)
\(54\) −27641.1 + 13311.3i −1.28995 + 0.621205i
\(55\) 8972.04 + 4320.71i 0.399931 + 0.192596i
\(56\) 422.030 + 1849.03i 0.0179834 + 0.0787906i
\(57\) 20040.1 0.816984
\(58\) 22309.7 31417.6i 0.870809 1.22632i
\(59\) −20440.0 −0.764454 −0.382227 0.924068i \(-0.624843\pi\)
−0.382227 + 0.924068i \(0.624843\pi\)
\(60\) 12994.2 + 56931.1i 0.465983 + 2.04160i
\(61\) −33173.0 15975.3i −1.14146 0.549698i −0.235002 0.971995i \(-0.575510\pi\)
−0.906458 + 0.422297i \(0.861224\pi\)
\(62\) 62444.7 30071.8i 2.06308 0.993528i
\(63\) 124.927 + 547.342i 0.00396557 + 0.0173743i
\(64\) 10482.2 45925.6i 0.319892 1.40154i
\(65\) 4325.86 + 2083.22i 0.126996 + 0.0611579i
\(66\) 9650.56 + 12101.4i 0.272705 + 0.341961i
\(67\) −11015.3 13812.7i −0.299784 0.375917i 0.609010 0.793162i \(-0.291567\pi\)
−0.908794 + 0.417246i \(0.862995\pi\)
\(68\) −69439.7 + 33440.4i −1.82111 + 0.876999i
\(69\) 34384.1 43116.3i 0.869432 1.09023i
\(70\) −20111.8 −0.490576
\(71\) 1920.18 2407.83i 0.0452061 0.0566866i −0.758715 0.651423i \(-0.774172\pi\)
0.803921 + 0.594737i \(0.202744\pi\)
\(72\) −335.588 + 1470.31i −0.00762914 + 0.0334254i
\(73\) −12188.9 + 53403.2i −0.267706 + 1.17290i 0.644968 + 0.764210i \(0.276871\pi\)
−0.912674 + 0.408688i \(0.865986\pi\)
\(74\) 68565.0 85977.8i 1.45554 1.82519i
\(75\) −77834.2 −1.59778
\(76\) −31051.9 + 38937.9i −0.616672 + 0.773282i
\(77\) −2679.78 + 1290.51i −0.0515077 + 0.0248048i
\(78\) 4653.01 + 5834.68i 0.0865958 + 0.108588i
\(79\) 25954.5 + 32546.0i 0.467892 + 0.586718i 0.958653 0.284576i \(-0.0918528\pi\)
−0.490762 + 0.871294i \(0.663281\pi\)
\(80\) 54917.1 + 26446.7i 0.959362 + 0.462004i
\(81\) 14182.8 62138.9i 0.240187 1.05233i
\(82\) 3570.49 + 15643.3i 0.0586398 + 0.256918i
\(83\) −42077.9 + 20263.7i −0.670439 + 0.322866i −0.737953 0.674852i \(-0.764208\pi\)
0.0675141 + 0.997718i \(0.478493\pi\)
\(84\) −15714.3 7567.60i −0.242995 0.117020i
\(85\) −37775.2 165504.i −0.567099 2.48462i
\(86\) −161894. −2.36040
\(87\) 20349.8 + 70735.2i 0.288245 + 1.00193i
\(88\) −7989.86 −0.109985
\(89\) −11733.1 51406.2i −0.157014 0.687923i −0.990743 0.135750i \(-0.956656\pi\)
0.833729 0.552174i \(-0.186201\pi\)
\(90\) −14408.7 6938.87i −0.187508 0.0902989i
\(91\) −1292.05 + 622.220i −0.0163560 + 0.00787663i
\(92\) 30497.0 + 133616.i 0.375654 + 1.64585i
\(93\) −29459.7 + 129071.i −0.353200 + 1.54747i
\(94\) 64771.1 + 31192.1i 0.756069 + 0.364104i
\(95\) −68395.2 85764.9i −0.777529 0.974991i
\(96\) 82214.8 + 103094.i 0.910483 + 1.14171i
\(97\) 47459.8 22855.4i 0.512149 0.246638i −0.159915 0.987131i \(-0.551122\pi\)
0.672064 + 0.740493i \(0.265408\pi\)
\(98\) −85411.9 + 107103.i −0.898366 + 1.12652i
\(99\) −2365.12 −0.0242530
\(100\) 120603. 151231.i 1.20603 1.51231i
\(101\) −11283.5 + 49436.1i −0.110062 + 0.482215i 0.889612 + 0.456716i \(0.150975\pi\)
−0.999675 + 0.0254989i \(0.991883\pi\)
\(102\) 58714.9 257247.i 0.558789 2.44821i
\(103\) −3038.46 + 3810.11i −0.0282202 + 0.0353871i −0.795741 0.605637i \(-0.792919\pi\)
0.767521 + 0.641024i \(0.221490\pi\)
\(104\) −3852.30 −0.0349250
\(105\) 23952.6 30035.6i 0.212021 0.265866i
\(106\) 181736. 87519.6i 1.57100 0.756556i
\(107\) −58814.8 73751.4i −0.496623 0.622746i 0.468841 0.883283i \(-0.344672\pi\)
−0.965464 + 0.260537i \(0.916100\pi\)
\(108\) 90803.8 + 113864.i 0.749108 + 0.939352i
\(109\) 148009. + 71277.4i 1.19322 + 0.574627i 0.921737 0.387815i \(-0.126770\pi\)
0.271488 + 0.962442i \(0.412484\pi\)
\(110\) 18853.4 82602.1i 0.148562 0.650893i
\(111\) 46742.8 + 204794.i 0.360087 + 1.57764i
\(112\) −16402.7 + 7899.13i −0.123558 + 0.0595023i
\(113\) 161361. + 77707.3i 1.18878 + 0.572487i 0.920458 0.390842i \(-0.127816\pi\)
0.268323 + 0.963329i \(0.413530\pi\)
\(114\) −37941.0 166230.i −0.273430 1.19798i
\(115\) −301873. −2.12853
\(116\) −168970. 70063.7i −1.16591 0.483446i
\(117\) −1140.34 −0.00770140
\(118\) 38698.1 + 169547.i 0.255849 + 1.12095i
\(119\) 45682.8 + 21999.7i 0.295723 + 0.142413i
\(120\) 92978.4 44776.0i 0.589425 0.283852i
\(121\) 33049.0 + 144797.i 0.205208 + 0.899076i
\(122\) −69708.1 + 305411.i −0.424018 + 1.85774i
\(123\) −27614.5 13298.4i −0.164579 0.0792570i
\(124\) −205137. 257234.i −1.19809 1.50236i
\(125\) 92307.4 + 115750.i 0.528399 + 0.662591i
\(126\) 4303.61 2072.51i 0.0241494 0.0116297i
\(127\) −84380.6 + 105810.i −0.464230 + 0.582126i −0.957748 0.287609i \(-0.907139\pi\)
0.493517 + 0.869736i \(0.335711\pi\)
\(128\) −141157. −0.761516
\(129\) 192811. 241777.i 1.02014 1.27921i
\(130\) 9090.14 39826.5i 0.0471750 0.206687i
\(131\) 25585.0 112095.i 0.130259 0.570700i −0.867104 0.498126i \(-0.834022\pi\)
0.997363 0.0725739i \(-0.0231213\pi\)
\(132\) 45812.2 57446.7i 0.228848 0.286966i
\(133\) 32764.5 0.160611
\(134\) −93719.9 + 117521.i −0.450889 + 0.565397i
\(135\) −289016. + 139183.i −1.36486 + 0.657281i
\(136\) 84922.4 + 106489.i 0.393709 + 0.493695i
\(137\) −184728. 231641.i −0.840874 1.05442i −0.997766 0.0668071i \(-0.978719\pi\)
0.156892 0.987616i \(-0.449853\pi\)
\(138\) −422742. 203582.i −1.88963 0.910000i
\(139\) −119.916 + 525.387i −0.000526430 + 0.00230644i −0.975190 0.221368i \(-0.928948\pi\)
0.974664 + 0.223674i \(0.0718051\pi\)
\(140\) 21244.7 + 93079.3i 0.0916076 + 0.401359i
\(141\) −123723. + 59582.1i −0.524088 + 0.252387i
\(142\) −23608.0 11369.0i −0.0982515 0.0473154i
\(143\) −1344.34 5889.93i −0.00549754 0.0240863i
\(144\) −14476.7 −0.0581786
\(145\) 233270. 328503.i 0.921381 1.29754i
\(146\) 466050. 1.80946
\(147\) −58227.9 255113.i −0.222248 0.973731i
\(148\) −470340. 226504.i −1.76505 0.850005i
\(149\) 243147. 117094.i 0.897230 0.432083i 0.0723426 0.997380i \(-0.476953\pi\)
0.824888 + 0.565296i \(0.191238\pi\)
\(150\) 147360. + 645624.i 0.534749 + 2.34289i
\(151\) −5724.37 + 25080.1i −0.0204308 + 0.0895132i −0.984115 0.177530i \(-0.943189\pi\)
0.963685 + 0.267043i \(0.0860465\pi\)
\(152\) 79298.3 + 38188.0i 0.278391 + 0.134066i
\(153\) 25138.3 + 31522.5i 0.0868176 + 0.108866i
\(154\) 15778.1 + 19785.2i 0.0536110 + 0.0672261i
\(155\) 652923. 314431.i 2.18289 1.05123i
\(156\) 22088.3 27697.9i 0.0726693 0.0911244i
\(157\) 96631.3 0.312873 0.156437 0.987688i \(-0.449999\pi\)
0.156437 + 0.987688i \(0.449999\pi\)
\(158\) 220826. 276907.i 0.703733 0.882453i
\(159\) −85738.1 + 375643.i −0.268956 + 1.17837i
\(160\) 160615. 703701.i 0.496006 2.17314i
\(161\) 56216.2 70492.9i 0.170922 0.214329i
\(162\) −542285. −1.62346
\(163\) −384688. + 482383.i −1.13407 + 1.42208i −0.241942 + 0.970291i \(0.577784\pi\)
−0.892126 + 0.451786i \(0.850787\pi\)
\(164\) 68627.0 33049.0i 0.199244 0.0959509i
\(165\) 100906. + 126533.i 0.288542 + 0.361820i
\(166\) 247749. + 310667.i 0.697816 + 0.875034i
\(167\) 242017. + 116549.i 0.671513 + 0.323383i 0.738386 0.674378i \(-0.235588\pi\)
−0.0668736 + 0.997761i \(0.521302\pi\)
\(168\) −6858.84 + 30050.6i −0.0187490 + 0.0821447i
\(169\) 81972.3 + 359144.i 0.220775 + 0.967279i
\(170\) −1.30131e6 + 626680.i −3.45350 + 1.66312i
\(171\) 23473.5 + 11304.2i 0.0613886 + 0.0295632i
\(172\) 171014. + 749261.i 0.440768 + 1.93113i
\(173\) 61656.9 0.156627 0.0783134 0.996929i \(-0.475047\pi\)
0.0783134 + 0.996929i \(0.475047\pi\)
\(174\) 548212. 302718.i 1.37270 0.757994i
\(175\) −127255. −0.314108
\(176\) −17066.5 74773.1i −0.0415300 0.181955i
\(177\) −299295. 144133.i −0.718069 0.345804i
\(178\) −404194. + 194649.i −0.956180 + 0.460472i
\(179\) −13932.5 61042.4i −0.0325010 0.142396i 0.956074 0.293125i \(-0.0946952\pi\)
−0.988575 + 0.150729i \(0.951838\pi\)
\(180\) −16893.3 + 74014.5i −0.0388628 + 0.170269i
\(181\) −107909. 51966.1i −0.244827 0.117903i 0.307447 0.951565i \(-0.400525\pi\)
−0.552274 + 0.833663i \(0.686240\pi\)
\(182\) 7607.41 + 9539.39i 0.0170239 + 0.0213473i
\(183\) −373089. 467839.i −0.823540 1.03269i
\(184\) 218219. 105089.i 0.475168 0.228829i
\(185\) 716917. 898986.i 1.54007 1.93118i
\(186\) 1.12640e6 2.38732
\(187\) −133180. + 167003.i −0.278507 + 0.349236i
\(188\) 75940.1 332715.i 0.156703 0.686559i
\(189\) 21320.2 93409.8i 0.0434147 0.190212i
\(190\) −581919. + 729704.i −1.16944 + 1.46643i
\(191\) 676958. 1.34270 0.671349 0.741141i \(-0.265715\pi\)
0.671349 + 0.741141i \(0.265715\pi\)
\(192\) 477331. 598554.i 0.934472 1.17179i
\(193\) −293850. + 141511.i −0.567848 + 0.273461i −0.695700 0.718332i \(-0.744906\pi\)
0.127853 + 0.991793i \(0.459192\pi\)
\(194\) −279436. 350402.i −0.533063 0.668439i
\(195\) 48651.9 + 61007.6i 0.0916248 + 0.114894i
\(196\) 585906. + 282157.i 1.08940 + 0.524628i
\(197\) −144552. + 633323.i −0.265374 + 1.16268i 0.649956 + 0.759972i \(0.274788\pi\)
−0.915329 + 0.402706i \(0.868070\pi\)
\(198\) 4477.76 + 19618.4i 0.00811705 + 0.0355631i
\(199\) 410327. 197603.i 0.734510 0.353722i −0.0289460 0.999581i \(-0.509215\pi\)
0.763456 + 0.645859i \(0.223501\pi\)
\(200\) −307988. 148319.i −0.544450 0.262193i
\(201\) −63891.7 279928.i −0.111546 0.488715i
\(202\) 431429. 0.743927
\(203\) 33270.8 + 115648.i 0.0566661 + 0.196969i
\(204\) −1.25258e6 −2.10732
\(205\) 37333.1 + 163567.i 0.0620453 + 0.271838i
\(206\) 37356.9 + 17990.1i 0.0613343 + 0.0295370i
\(207\) 64596.0 31107.8i 0.104780 0.0504595i
\(208\) −8228.57 36051.7i −0.0131876 0.0577787i
\(209\) −30714.4 + 134569.i −0.0486381 + 0.213097i
\(210\) −294489. 141819.i −0.460809 0.221914i
\(211\) −630154. 790189.i −0.974408 1.22187i −0.975076 0.221869i \(-0.928784\pi\)
0.000668286 1.00000i \(-0.499787\pi\)
\(212\) −597022. 748642.i −0.912327 1.14402i
\(213\) 45095.3 21716.7i 0.0681054 0.0327979i
\(214\) −500407. + 627491.i −0.746946 + 0.936641i
\(215\) −1.69277e6 −2.49748
\(216\) 160472. 201225.i 0.234026 0.293460i
\(217\) −48164.9 + 211024.i −0.0694355 + 0.304217i
\(218\) 311019. 1.36266e6i 0.443247 1.94199i
\(219\) −555050. + 696011.i −0.782027 + 0.980631i
\(220\) −402205. −0.560262
\(221\) −64212.7 + 80520.1i −0.0884382 + 0.110898i
\(222\) 1.61024e6 775452.i 2.19285 1.05602i
\(223\) 790127. + 990788.i 1.06398 + 1.33419i 0.939721 + 0.341943i \(0.111085\pi\)
0.124262 + 0.992249i \(0.460344\pi\)
\(224\) 134417. + 168553.i 0.178992 + 0.224449i
\(225\) −91169.0 43904.7i −0.120058 0.0578169i
\(226\) 339075. 1.48559e6i 0.441596 1.93476i
\(227\) 153383. + 672016.i 0.197567 + 0.865595i 0.972380 + 0.233405i \(0.0749868\pi\)
−0.774813 + 0.632190i \(0.782156\pi\)
\(228\) −729250. + 351188.i −0.929051 + 0.447407i
\(229\) −551699. 265684.i −0.695207 0.334794i 0.0526883 0.998611i \(-0.483221\pi\)
−0.747895 + 0.663817i \(0.768935\pi\)
\(230\) 571521. + 2.50400e6i 0.712381 + 3.12115i
\(231\) −48339.0 −0.0596029
\(232\) −54267.9 + 318675.i −0.0661946 + 0.388712i
\(233\) −1.34911e6 −1.62801 −0.814003 0.580861i \(-0.802716\pi\)
−0.814003 + 0.580861i \(0.802716\pi\)
\(234\) 2158.95 + 9458.97i 0.00257752 + 0.0112929i
\(235\) 677247. + 326145.i 0.799977 + 0.385249i
\(236\) 743802. 358196.i 0.869315 0.418640i
\(237\) 150544. + 659575.i 0.174097 + 0.762770i
\(238\) 95995.6 420584.i 0.109852 0.481294i
\(239\) −872564. 420205.i −0.988104 0.475846i −0.131219 0.991353i \(-0.541889\pi\)
−0.856885 + 0.515507i \(0.827603\pi\)
\(240\) 617639. + 774495.i 0.692161 + 0.867942i
\(241\) 335595. + 420823.i 0.372197 + 0.466721i 0.932291 0.361708i \(-0.117806\pi\)
−0.560094 + 0.828429i \(0.689235\pi\)
\(242\) 1.13850e6 548274.i 1.24967 0.601810i
\(243\) 99527.9 124804.i 0.108126 0.135585i
\(244\) 1.48710e6 1.59907
\(245\) −893069. + 1.11987e6i −0.950538 + 1.19194i
\(246\) −58027.7 + 254236.i −0.0611361 + 0.267855i
\(247\) −14808.9 + 64882.1i −0.0154447 + 0.0676678i
\(248\) −362526. + 454593.i −0.374291 + 0.469347i
\(249\) −759019. −0.775808
\(250\) 785369. 984822.i 0.794738 0.996570i
\(251\) 1.40697e6 677561.i 1.40961 0.678835i 0.434528 0.900658i \(-0.356915\pi\)
0.975087 + 0.221824i \(0.0712010\pi\)
\(252\) −14137.8 17728.2i −0.0140243 0.0175859i
\(253\) 236825. + 296970.i 0.232609 + 0.291683i
\(254\) 1.03743e6 + 499602.i 1.00896 + 0.485892i
\(255\) 613924. 2.68977e6i 0.591240 2.59039i
\(256\) −68184.4 298735.i −0.0650257 0.284896i
\(257\) 876183. 421948.i 0.827489 0.398498i 0.0283161 0.999599i \(-0.490986\pi\)
0.799173 + 0.601101i \(0.205271\pi\)
\(258\) −2.37055e6 1.14160e6i −2.21718 1.06774i
\(259\) 76422.0 + 334827.i 0.0707895 + 0.310149i
\(260\) −193923. −0.177908
\(261\) −16064.1 + 94332.7i −0.0145967 + 0.0857159i
\(262\) −978253. −0.880436
\(263\) −249280. 1.09217e6i −0.222227 0.973641i −0.955797 0.294027i \(-0.905004\pi\)
0.733570 0.679614i \(-0.237853\pi\)
\(264\) −116992. 56340.5i −0.103311 0.0497520i
\(265\) 1.90024e6 915107.i 1.66224 0.800492i
\(266\) −62031.5 271778.i −0.0537537 0.235510i
\(267\) 190687. 835455.i 0.163698 0.717208i
\(268\) 642897. + 309603.i 0.546769 + 0.263310i
\(269\) 430920. + 540356.i 0.363091 + 0.455302i 0.929500 0.368823i \(-0.120239\pi\)
−0.566409 + 0.824125i \(0.691668\pi\)
\(270\) 1.70168e6 + 2.13384e6i 1.42059 + 1.78137i
\(271\) −2.00237e6 + 964291.i −1.65623 + 0.797600i −0.657196 + 0.753719i \(0.728258\pi\)
−0.999037 + 0.0438804i \(0.986028\pi\)
\(272\) −815184. + 1.02221e6i −0.668088 + 0.837756i
\(273\) −23306.6 −0.0189266
\(274\) −1.57170e6 + 1.97085e6i −1.26472 + 1.58590i
\(275\) 119292. 522653.i 0.0951217 0.416756i
\(276\) −495639. + 2.17154e6i −0.391645 + 1.71591i
\(277\) 89989.3 112843.i 0.0704680 0.0883640i −0.745348 0.666675i \(-0.767717\pi\)
0.815816 + 0.578311i \(0.196288\pi\)
\(278\) 4585.05 0.00355821
\(279\) −107313. + 134567.i −0.0825359 + 0.103497i
\(280\) 152015. 73206.4i 0.115875 0.0558025i
\(281\) −614262. 770261.i −0.464075 0.581932i 0.493634 0.869670i \(-0.335668\pi\)
−0.957709 + 0.287738i \(0.907097\pi\)
\(282\) 728465. + 913466.i 0.545489 + 0.684021i
\(283\) −188508. 90780.5i −0.139915 0.0673793i 0.362617 0.931938i \(-0.381883\pi\)
−0.502531 + 0.864559i \(0.667598\pi\)
\(284\) −27679.0 + 121270.i −0.0203636 + 0.0892187i
\(285\) −396712. 1.73811e6i −0.289310 1.26755i
\(286\) −46311.0 + 22302.2i −0.0334787 + 0.0161225i
\(287\) −45148.2 21742.2i −0.0323546 0.0155811i
\(288\) 38146.8 + 167132.i 0.0271005 + 0.118735i
\(289\) 2.22151e6 1.56460
\(290\) −3.16653e6 1.31301e6i −2.21100 0.916795i
\(291\) 856099. 0.592641
\(292\) −492302. 2.15692e6i −0.337890 1.48039i
\(293\) −1.78629e6 860234.i −1.21558 0.585393i −0.287504 0.957780i \(-0.592825\pi\)
−0.928078 + 0.372386i \(0.878540\pi\)
\(294\) −2.00589e6 + 965985.i −1.35344 + 0.651782i
\(295\) 404628. + 1.77279e6i 0.270708 + 1.18605i
\(296\) −205290. + 899435.i −0.136188 + 0.596679i
\(297\) 363661. + 175130.i 0.239225 + 0.115204i
\(298\) −1.43162e6 1.79519e6i −0.933868 1.17103i
\(299\) 114185. + 143184.i 0.0738638 + 0.0926222i
\(300\) 2.83234e6 1.36399e6i 1.81695 0.874997i
\(301\) 315236. 395293.i 0.200548 0.251480i
\(302\) 218874. 0.138095
\(303\) −513818. + 644307.i −0.321516 + 0.403168i
\(304\) −188000. + 823682.i −0.116674 + 0.511182i
\(305\) −728869. + 3.19339e6i −0.448642 + 1.96563i
\(306\) 213882. 268199.i 0.130578 0.163740i
\(307\) 2.33204e6 1.41218 0.706089 0.708123i \(-0.250458\pi\)
0.706089 + 0.708123i \(0.250458\pi\)
\(308\) 74900.5 93922.3i 0.0449892 0.0564146i
\(309\) −71357.9 + 34364.1i −0.0425154 + 0.0204743i
\(310\) −3.84431e6 4.82061e6i −2.27203 2.84904i
\(311\) −400207. 501844.i −0.234630 0.294217i 0.650552 0.759462i \(-0.274538\pi\)
−0.885182 + 0.465245i \(0.845966\pi\)
\(312\) −56407.6 27164.5i −0.0328059 0.0157985i
\(313\) −39511.5 + 173111.i −0.0227962 + 0.0998768i −0.985046 0.172290i \(-0.944883\pi\)
0.962250 + 0.272167i \(0.0877404\pi\)
\(314\) −182947. 801544.i −0.104713 0.458779i
\(315\) 44998.6 21670.2i 0.0255519 0.0123051i
\(316\) −1.51482e6 729497.i −0.853379 0.410966i
\(317\) 100326. + 439556.i 0.0560743 + 0.245678i 0.995195 0.0979087i \(-0.0312153\pi\)
−0.939121 + 0.343586i \(0.888358\pi\)
\(318\) 3.27823e6 1.81791
\(319\) −506173. + 28235.9i −0.278498 + 0.0155355i
\(320\) −4.19069e6 −2.28776
\(321\) −341143. 1.49464e6i −0.184788 0.809609i
\(322\) −691161. 332845.i −0.371483 0.178897i
\(323\) 2.12000e6 1.02094e6i 1.13065 0.544493i
\(324\) 572832. + 2.50974e6i 0.303155 + 1.32821i
\(325\) 57516.5 251996.i 0.0302054 0.132338i
\(326\) 4.72962e6 + 2.27766e6i 2.46480 + 1.18699i
\(327\) 1.66462e6 + 2.08737e6i 0.860888 + 1.07952i
\(328\) −83928.5 105243.i −0.0430750 0.0540143i
\(329\) −202281. + 97413.4i −0.103030 + 0.0496168i
\(330\) 858531. 1.07656e6i 0.433981 0.544195i
\(331\) 971951. 0.487612 0.243806 0.969824i \(-0.421604\pi\)
0.243806 + 0.969824i \(0.421604\pi\)
\(332\) 1.17609e6 1.47477e6i 0.585592 0.734309i
\(333\) −60769.0 + 266246.i −0.0300311 + 0.131575i
\(334\) 508562. 2.22815e6i 0.249447 1.09290i
\(335\) −979937. + 1.22880e6i −0.477074 + 0.598232i
\(336\) −295879. −0.142977
\(337\) −1.40333e6 + 1.75972e6i −0.673108 + 0.844050i −0.994699 0.102828i \(-0.967211\pi\)
0.321591 + 0.946879i \(0.395782\pi\)
\(338\) 2.82386e6 1.35990e6i 1.34447 0.647463i
\(339\) 1.81479e6 + 2.27567e6i 0.857682 + 1.07550i
\(340\) 4.27495e6 + 5.36061e6i 2.00555 + 2.51488i
\(341\) −821555. 395640.i −0.382605 0.184253i
\(342\) 49326.0 216111.i 0.0228040 0.0999107i
\(343\) −194573. 852481.i −0.0892993 0.391246i
\(344\) 1.22367e6 589290.i 0.557531 0.268493i
\(345\) −4.42020e6 2.12866e6i −1.99937 0.962848i
\(346\) −116732. 511436.i −0.0524203 0.229668i
\(347\) −1.45629e6 −0.649266 −0.324633 0.945840i \(-0.605241\pi\)
−0.324633 + 0.945840i \(0.605241\pi\)
\(348\) −1.98010e6 2.21740e6i −0.876474 0.981514i
\(349\) 927236. 0.407499 0.203750 0.979023i \(-0.434687\pi\)
0.203750 + 0.979023i \(0.434687\pi\)
\(350\) 240925. + 1.05556e6i 0.105126 + 0.460589i
\(351\) 175339. + 84438.7i 0.0759644 + 0.0365825i
\(352\) −818277. + 394062.i −0.352001 + 0.169515i
\(353\) −310391. 1.35991e6i −0.132578 0.580864i −0.996952 0.0780144i \(-0.975142\pi\)
0.864374 0.502850i \(-0.167715\pi\)
\(354\) −628923. + 2.75549e6i −0.266741 + 1.16867i
\(355\) −246846. 118875.i −0.103957 0.0500632i
\(356\) 1.32782e6 + 1.66503e6i 0.555281 + 0.696301i
\(357\) 513784. + 644265.i 0.213359 + 0.267543i
\(358\) −479961. + 231137.i −0.197924 + 0.0953151i
\(359\) 1.19824e6 1.50255e6i 0.490691 0.615307i −0.473410 0.880842i \(-0.656977\pi\)
0.964101 + 0.265535i \(0.0855485\pi\)
\(360\) 134165. 0.0545611
\(361\) −595808. + 747119.i −0.240623 + 0.301732i
\(362\) −226754. + 993473.i −0.0909459 + 0.398460i
\(363\) −537114. + 2.35325e6i −0.213944 + 0.937349i
\(364\) 36113.2 45284.5i 0.0142861 0.0179141i
\(365\) 4.87302e6 1.91455
\(366\) −3.17431e6 + 3.98046e6i −1.23865 + 1.55321i
\(367\) 103797. 49985.8i 0.0402271 0.0193723i −0.413662 0.910430i \(-0.635750\pi\)
0.453889 + 0.891058i \(0.350036\pi\)
\(368\) 1.44959e6 + 1.81773e6i 0.557988 + 0.699695i
\(369\) −24844.1 31153.5i −0.00949856 0.0119108i
\(370\) −8.81427e6 4.24473e6i −3.34720 1.61193i
\(371\) −140177. + 614156.i −0.0528740 + 0.231656i
\(372\) −1.18985e6 5.21309e6i −0.445796 1.95316i
\(373\) 233569. 112481.i 0.0869247 0.0418607i −0.389916 0.920850i \(-0.627496\pi\)
0.476841 + 0.878990i \(0.341782\pi\)
\(374\) 1.63741e6 + 788535.i 0.605311 + 0.291502i
\(375\) 535410. + 2.34578e6i 0.196611 + 0.861409i
\(376\) −603108. −0.220001
\(377\) −244050. + 13613.9i −0.0884354 + 0.00493321i
\(378\) −815187. −0.293446
\(379\) −498153. 2.18255e6i −0.178141 0.780489i −0.982488 0.186328i \(-0.940341\pi\)
0.804346 0.594161i \(-0.202516\pi\)
\(380\) 3.99183e6 + 1.92236e6i 1.41812 + 0.682931i
\(381\) −1.98167e6 + 954322.i −0.699389 + 0.336808i
\(382\) −1.28165e6 5.61528e6i −0.449378 1.96885i
\(383\) −421578. + 1.84705e6i −0.146852 + 0.643402i 0.846896 + 0.531759i \(0.178469\pi\)
−0.993748 + 0.111644i \(0.964389\pi\)
\(384\) −2.06691e6 995371.i −0.715309 0.344474i
\(385\) 164977. + 206874.i 0.0567245 + 0.0711302i
\(386\) 1.73014e6 + 2.16953e6i 0.591036 + 0.741135i
\(387\) 362226. 174439.i 0.122943 0.0592060i
\(388\) −1.32651e6 + 1.66339e6i −0.447334 + 0.560939i
\(389\) −166671. −0.0558452 −0.0279226 0.999610i \(-0.508889\pi\)
−0.0279226 + 0.999610i \(0.508889\pi\)
\(390\) 413940. 519064.i 0.137808 0.172806i
\(391\) 1.44087e6 6.31285e6i 0.476631 2.08826i
\(392\) 255731. 1.12043e6i 0.0840560 0.368273i
\(393\) 1.16507e6 1.46095e6i 0.380513 0.477149i
\(394\) 5.52700e6 1.79370
\(395\) 2.30896e6 2.89535e6i 0.744602 0.933701i
\(396\) 86065.5 41446.9i 0.0275798 0.0132817i
\(397\) 1.41429e6 + 1.77346e6i 0.450361 + 0.564735i 0.954241 0.299039i \(-0.0966659\pi\)
−0.503880 + 0.863774i \(0.668095\pi\)
\(398\) −2.41595e6 3.02950e6i −0.764504 0.958657i
\(399\) 479758. + 231039.i 0.150865 + 0.0726529i
\(400\) 730176. 3.19911e6i 0.228180 0.999722i
\(401\) 918376. + 4.02367e6i 0.285207 + 1.24957i 0.891020 + 0.453965i \(0.149991\pi\)
−0.605813 + 0.795607i \(0.707152\pi\)
\(402\) −2.20100e6 + 1.05995e6i −0.679290 + 0.327129i
\(403\) −396112. 190757.i −0.121494 0.0585085i
\(404\) −455731. 1.99669e6i −0.138917 0.608635i
\(405\) −5.67014e6 −1.71774
\(406\) 896297. 494928.i 0.269859 0.149014i
\(407\) −1.44682e6 −0.432941
\(408\) 492574. + 2.15811e6i 0.146495 + 0.641835i
\(409\) −3.66587e6 1.76539e6i −1.08360 0.521834i −0.195133 0.980777i \(-0.562514\pi\)
−0.888466 + 0.458943i \(0.848228\pi\)
\(410\) 1.28608e6 619346.i 0.377842 0.181959i
\(411\) −1.07147e6 4.69444e6i −0.312880 1.37082i
\(412\) 43798.7 191895.i 0.0127121 0.0556954i
\(413\) −489331. 235649.i −0.141165 0.0679815i
\(414\) −380331. 476921.i −0.109059 0.136756i
\(415\) 2.59046e6 + 3.24834e6i 0.738341 + 0.925851i
\(416\) −394531. + 189996.i −0.111776 + 0.0538284i
\(417\) −5460.64 + 6847.43i −0.00153781 + 0.00192836i
\(418\) 1.17438e6 0.328751
\(419\) 2.66267e6 3.33888e6i 0.740939 0.929108i −0.258379 0.966044i \(-0.583188\pi\)
0.999318 + 0.0369358i \(0.0117597\pi\)
\(420\) −345270. + 1.51273e6i −0.0955072 + 0.418444i
\(421\) 1.06490e6 4.66564e6i 0.292822 1.28294i −0.587756 0.809038i \(-0.699989\pi\)
0.880578 0.473900i \(-0.157154\pi\)
\(422\) −5.36147e6 + 6.72307e6i −1.46556 + 1.83775i
\(423\) −178529. −0.0485130
\(424\) −1.05508e6 + 1.32303e6i −0.285017 + 0.357400i
\(425\) −8.23388e6 + 3.96523e6i −2.21122 + 1.06487i
\(426\) −265514. 332944.i −0.0708865 0.0888888i
\(427\) −609981. 764891.i −0.161900 0.203016i
\(428\) 3.43268e6 + 1.65309e6i 0.905782 + 0.436202i
\(429\) 21848.2 95723.3i 0.00573156 0.0251116i
\(430\) 3.20484e6 + 1.40413e7i 0.835863 + 3.66215i
\(431\) −4.89771e6 + 2.35861e6i −1.26999 + 0.611594i −0.942798 0.333365i \(-0.891816\pi\)
−0.327190 + 0.944959i \(0.606102\pi\)
\(432\) 2.22594e6 + 1.07196e6i 0.573857 + 0.276355i
\(433\) 1.49803e6 + 6.56331e6i 0.383973 + 1.68230i 0.684889 + 0.728647i \(0.259851\pi\)
−0.300916 + 0.953651i \(0.597292\pi\)
\(434\) 1.84161e6 0.469324
\(435\) 5.73212e6 3.16523e6i 1.45242 0.802014i
\(436\) −6.63506e6 −1.67158
\(437\) −931075. 4.07931e6i −0.233228 1.02184i
\(438\) 6.82417e6 + 3.28635e6i 1.69967 + 0.818518i
\(439\) −359993. + 173364.i −0.0891525 + 0.0429336i −0.477929 0.878399i \(-0.658612\pi\)
0.388776 + 0.921332i \(0.372898\pi\)
\(440\) 158166. + 692971.i 0.0389477 + 0.170641i
\(441\) 75700.4 331665.i 0.0185354 0.0812088i
\(442\) 789475. + 380191.i 0.192213 + 0.0925649i
\(443\) −1.48496e6 1.86208e6i −0.359506 0.450806i 0.568882 0.822419i \(-0.307376\pi\)
−0.928388 + 0.371613i \(0.878805\pi\)
\(444\) −5.28980e6 6.63320e6i −1.27345 1.59686i
\(445\) −4.22626e6 + 2.03526e6i −1.01171 + 0.487214i
\(446\) 6.72255e6 8.42981e6i 1.60028 2.00669i
\(447\) 4.38599e6 1.03824
\(448\) 780410. 978603.i 0.183708 0.230362i
\(449\) −468290. + 2.05171e6i −0.109622 + 0.480287i 0.890078 + 0.455808i \(0.150650\pi\)
−0.999700 + 0.0244787i \(0.992207\pi\)
\(450\) −191578. + 839358.i −0.0445979 + 0.195396i
\(451\) 131622. 165048.i 0.0304709 0.0382093i
\(452\) −7.23359e6 −1.66536
\(453\) −260672. + 326872.i −0.0596827 + 0.0748397i
\(454\) 5.28389e6 2.54459e6i 1.20313 0.579399i
\(455\) 79543.2 + 99744.0i 0.0180125 + 0.0225870i
\(456\) 891849. + 1.11834e6i 0.200853 + 0.251862i
\(457\) 4.93738e6 + 2.37772e6i 1.10587 + 0.532561i 0.895501 0.445060i \(-0.146818\pi\)
0.210373 + 0.977621i \(0.432532\pi\)
\(458\) −1.15931e6 + 5.07928e6i −0.258248 + 1.13146i
\(459\) −1.53113e6 6.70832e6i −0.339219 1.48622i
\(460\) 1.09850e7 5.29010e6i 2.42050 1.16565i
\(461\) −4.06650e6 1.95832e6i −0.891186 0.429172i −0.0684883 0.997652i \(-0.521818\pi\)
−0.822697 + 0.568479i \(0.807532\pi\)
\(462\) 91517.7 + 400965.i 0.0199480 + 0.0873981i
\(463\) −5.65329e6 −1.22560 −0.612801 0.790238i \(-0.709957\pi\)
−0.612801 + 0.790238i \(0.709957\pi\)
\(464\) −3.09824e6 + 172830.i −0.668067 + 0.0372669i
\(465\) 1.17777e7 2.52597
\(466\) 2.55419e6 + 1.11907e7i 0.544865 + 2.38721i
\(467\) −183843. 88533.9i −0.0390080 0.0187853i 0.414278 0.910150i \(-0.364034\pi\)
−0.453286 + 0.891365i \(0.649748\pi\)
\(468\) 41496.4 19983.6i 0.00875781 0.00421754i
\(469\) −104459. 457667.i −0.0219288 0.0960765i
\(470\) 1.42313e6 6.23515e6i 0.297167 1.30197i
\(471\) 1.41493e6 + 681395.i 0.293889 + 0.141529i
\(472\) −909645. 1.14066e6i −0.187939 0.235668i
\(473\) 1.32801e6 + 1.66528e6i 0.272929 + 0.342242i
\(474\) 5.18607e6 2.49748e6i 1.06021 0.510571i
\(475\) −3.68201e6 + 4.61709e6i −0.748774 + 0.938933i
\(476\) −2.04790e6 −0.414278
\(477\) −312320. + 391637.i −0.0628497 + 0.0788111i
\(478\) −1.83356e6 + 8.03336e6i −0.367051 + 1.60815i
\(479\) −514558. + 2.25442e6i −0.102470 + 0.448949i 0.897499 + 0.441017i \(0.145382\pi\)
−0.999969 + 0.00793218i \(0.997475\pi\)
\(480\) 7.31397e6 9.17143e6i 1.44894 1.81691i
\(481\) −697582. −0.137478
\(482\) 2.85531e6 3.58044e6i 0.559803 0.701971i
\(483\) 1.32023e6 635790.i 0.257503 0.124007i
\(484\) −3.74010e6 4.68993e6i −0.725720 0.910025i
\(485\) −2.92179e6 3.66381e6i −0.564020 0.707259i
\(486\) −1.22366e6 589286.i −0.235002 0.113171i
\(487\) −829183. + 3.63289e6i −0.158427 + 0.694112i 0.831850 + 0.555000i \(0.187282\pi\)
−0.990277 + 0.139112i \(0.955575\pi\)
\(488\) −584800. 2.56218e6i −0.111162 0.487034i
\(489\) −9.03434e6 + 4.35071e6i −1.70854 + 0.822788i
\(490\) 1.09800e7 + 5.28769e6i 2.06591 + 0.994891i
\(491\) −2.02855e6 8.88768e6i −0.379737 1.66374i −0.698277 0.715827i \(-0.746050\pi\)
0.318540 0.947909i \(-0.396807\pi\)
\(492\) 1.23792e6 0.230558
\(493\) 5.75633e6 + 6.44619e6i 1.06666 + 1.19450i
\(494\) 566225. 0.104393
\(495\) 46819.6 + 205130.i 0.00858844 + 0.0376284i
\(496\) −5.02867e6 2.42168e6i −0.917802 0.441990i
\(497\) 73728.3 35505.7i 0.0133888 0.00644773i
\(498\) 1.43701e6 + 6.29596e6i 0.259649 + 1.13760i
\(499\) 421432. 1.84641e6i 0.0757662 0.331954i −0.922813 0.385249i \(-0.874115\pi\)
0.998579 + 0.0532957i \(0.0169726\pi\)
\(500\) −5.38745e6 2.59446e6i −0.963736 0.464111i
\(501\) 2.72190e6 + 3.41316e6i 0.484483 + 0.607523i
\(502\) −8.28402e6 1.03878e7i −1.46718 1.83978i
\(503\) −6.54819e6 + 3.15344e6i −1.15399 + 0.555731i −0.910229 0.414105i \(-0.864095\pi\)
−0.243759 + 0.969836i \(0.578380\pi\)
\(504\) −24984.8 + 31330.0i −0.00438127 + 0.00549394i
\(505\) 4.51103e6 0.787131
\(506\) 2.01496e6 2.52667e6i 0.349856 0.438705i
\(507\) −1.33222e6 + 5.83682e6i −0.230173 + 1.00846i
\(508\) 1.21633e6 5.32908e6i 0.209118 0.916205i
\(509\) 1.66914e6 2.09303e6i 0.285560 0.358081i −0.618275 0.785962i \(-0.712168\pi\)
0.903835 + 0.427881i \(0.140740\pi\)
\(510\) −2.34736e7 −3.99627
\(511\) −907477. + 1.13794e6i −0.153739 + 0.192782i
\(512\) −6.41859e6 + 3.09103e6i −1.08209 + 0.521109i
\(513\) −2.77224e6 3.47628e6i −0.465091 0.583205i
\(514\) −5.15883e6 6.46897e6i −0.861279 1.08001i
\(515\) 390605. + 188105.i 0.0648962 + 0.0312524i
\(516\) −2.77933e6 + 1.21770e7i −0.459531 + 2.01334i
\(517\) −210467. 922115.i −0.0346304 0.151725i
\(518\) 2.63266e6 1.26782e6i 0.431092 0.207603i
\(519\) 902816. + 434773.i 0.147123 + 0.0708507i
\(520\) 76259.6 + 334115.i 0.0123676 + 0.0541861i
\(521\) 4.01465e6 0.647968 0.323984 0.946063i \(-0.394978\pi\)
0.323984 + 0.946063i \(0.394978\pi\)
\(522\) 812891. 45345.7i 0.130574 0.00728383i
\(523\) 9.65935e6 1.54417 0.772083 0.635522i \(-0.219215\pi\)
0.772083 + 0.635522i \(0.219215\pi\)
\(524\) 1.03336e6 + 4.52744e6i 0.164408 + 0.720318i
\(525\) −1.86334e6 897336.i −0.295048 0.142088i
\(526\) −8.58742e6 + 4.13548e6i −1.35331 + 0.651721i
\(527\) 3.45901e6 + 1.51549e7i 0.542532 + 2.37699i
\(528\) 277365. 1.21521e6i 0.0432979 0.189700i
\(529\) −4.57518e6 2.20329e6i −0.710836 0.342320i
\(530\) −1.11883e7 1.40297e7i −1.73012 2.16950i
\(531\) −269269. 337652.i −0.0414428 0.0519677i
\(532\) −1.19228e6 + 574174.i −0.182642 + 0.0879558i
\(533\) 63461.1 79577.8i 0.00967587 0.0121332i
\(534\) −7.29101e6 −1.10646
\(535\) −5.23227e6 + 6.56106e6i −0.790325 + 0.991036i
\(536\) 280606. 1.22942e6i 0.0421876 0.184836i
\(537\) 226432. 992063.i 0.0338846 0.148458i
\(538\) 3.66635e6 4.59745e6i 0.546107 0.684797i
\(539\) 1.80231e6 0.267213
\(540\) 8.07807e6 1.01296e7i 1.19213 1.49488i
\(541\) 1.02628e7 4.94233e6i 1.50756 0.726003i 0.516114 0.856520i \(-0.327378\pi\)
0.991446 + 0.130517i \(0.0416637\pi\)
\(542\) 1.17897e7 + 1.47838e7i 1.72386 + 2.16166i
\(543\) −1.21362e6 1.52183e6i −0.176638 0.221497i
\(544\) 1.39494e7 + 6.71766e6i 2.02096 + 0.973242i
\(545\) 3.25202e6 1.42480e7i 0.468988 2.05477i
\(546\) 44125.2 + 193325.i 0.00633439 + 0.0277528i
\(547\) −5.81300e6 + 2.79939e6i −0.830676 + 0.400033i −0.800369 0.599508i \(-0.795363\pi\)
−0.0303075 + 0.999541i \(0.509649\pi\)
\(548\) 1.07815e7 + 5.19209e6i 1.53365 + 0.738569i
\(549\) −173110. 758443.i −0.0245127 0.107397i
\(550\) −4.56119e6 −0.642941
\(551\) 5.15865e6 + 2.13904e6i 0.723864 + 0.300152i
\(552\) 3.93631e6 0.549847
\(553\) 246131. + 1.07837e6i 0.0342258 + 0.149953i
\(554\) −1.10639e6 532810.i −0.153156 0.0737561i
\(555\) 1.68367e7 8.10813e6i 2.32020 1.11735i
\(556\) −4843.32 21220.0i −0.000664441 0.00291111i
\(557\) 2.11186e6 9.25268e6i 0.288422 1.26366i −0.598269 0.801295i \(-0.704145\pi\)
0.886691 0.462363i \(-0.152998\pi\)
\(558\) 1.31938e6 + 635381.i 0.179385 + 0.0863871i
\(559\) 640300. + 802910.i 0.0866670 + 0.108677i
\(560\) 1.00981e6 + 1.26626e6i 0.136072 + 0.170629i
\(561\) −3.12772e6 + 1.50623e6i −0.419586 + 0.202062i
\(562\) −5.22626e6 + 6.55352e6i −0.697992 + 0.875254i
\(563\) −1.21974e7 −1.62179 −0.810897 0.585189i \(-0.801020\pi\)
−0.810897 + 0.585189i \(0.801020\pi\)
\(564\) 3.45810e6 4.33632e6i 0.457762 0.574015i
\(565\) 3.54538e6 1.55333e7i 0.467241 2.04712i
\(566\) −396120. + 1.73552e6i −0.0519740 + 0.227713i
\(567\) 1.05592e6 1.32408e6i 0.137935 0.172965i
\(568\) 219824. 0.0285893
\(569\) −829150. + 1.03972e6i −0.107362 + 0.134628i −0.832610 0.553860i \(-0.813154\pi\)
0.725247 + 0.688489i \(0.241726\pi\)
\(570\) −1.36663e7 + 6.58134e6i −1.76183 + 0.848452i
\(571\) −4.31701e6 5.41335e6i −0.554105 0.694826i 0.423350 0.905966i \(-0.360854\pi\)
−0.977456 + 0.211140i \(0.932282\pi\)
\(572\) 152136. + 190773.i 0.0194421 + 0.0243796i
\(573\) 9.91242e6 + 4.77357e6i 1.26123 + 0.607375i
\(574\) −94872.1 + 415662.i −0.0120187 + 0.0526575i
\(575\) 3.61621e6 + 1.58437e7i 0.456126 + 1.99842i
\(576\) 896740. 431847.i 0.112619 0.0542343i
\(577\) 5.56996e6 + 2.68235e6i 0.696487 + 0.335410i 0.748406 0.663241i \(-0.230820\pi\)
−0.0519193 + 0.998651i \(0.516534\pi\)
\(578\) −4.20587e6 1.84271e7i −0.523644 2.29424i
\(579\) −5.30058e6 −0.657093
\(580\) −2.73181e6 + 1.60419e7i −0.337195 + 1.98010i
\(581\) −1.24095e6 −0.152516
\(582\) −1.62081e6 7.10123e6i −0.198346 0.869013i
\(583\) −2.39102e6 1.15145e6i −0.291348 0.140306i
\(584\) −3.52262e6 + 1.69640e6i −0.427399 + 0.205825i
\(585\) 22574.0 + 98903.1i 0.00272721 + 0.0119487i
\(586\) −3.75363e6 + 1.64457e7i −0.451551 + 1.97838i
\(587\) −2.66078e6 1.28136e6i −0.318723 0.153489i 0.267681 0.963508i \(-0.413743\pi\)
−0.586404 + 0.810019i \(0.699457\pi\)
\(588\) 6.58954e6 + 8.26302e6i 0.785981 + 0.985589i
\(589\) 6.26284e6 + 7.85335e6i 0.743846 + 0.932753i
\(590\) 1.39390e7 6.71267e6i 1.64855 0.793899i
\(591\) −6.58249e6 + 8.25418e6i −0.775213 + 0.972087i
\(592\) −8.85586e6 −1.03855
\(593\) 4.61345e6 5.78509e6i 0.538752 0.675574i −0.435720 0.900082i \(-0.643506\pi\)
0.974472 + 0.224508i \(0.0720775\pi\)
\(594\) 764179. 3.34809e6i 0.0888646 0.389341i
\(595\) 1.00373e6 4.39764e6i 0.116232 0.509245i
\(596\) −6.79603e6 + 8.52195e6i −0.783681 + 0.982705i
\(597\) 7.40165e6 0.849949
\(598\) 971508. 1.21823e6i 0.111095 0.139308i
\(599\) −1.16219e7 + 5.59683e6i −1.32346 + 0.637346i −0.956184 0.292766i \(-0.905424\pi\)
−0.367278 + 0.930111i \(0.619710\pi\)
\(600\) −3.46386e6 4.34355e6i −0.392810 0.492568i
\(601\) −3.85383e6 4.83255e6i −0.435218 0.545746i 0.515058 0.857155i \(-0.327770\pi\)
−0.950276 + 0.311410i \(0.899199\pi\)
\(602\) −3.87572e6 1.86645e6i −0.435875 0.209906i
\(603\) 83063.7 363926.i 0.00930289 0.0407586i
\(604\) −231203. 1.01297e6i −0.0257870 0.112980i
\(605\) 1.19042e7 5.73277e6i 1.32225 0.636760i
\(606\) 6.31723e6 + 3.04222e6i 0.698787 + 0.336518i
\(607\) −2.82790e6 1.23898e7i −0.311524 1.36488i −0.852011 0.523524i \(-0.824617\pi\)
0.540487 0.841353i \(-0.318240\pi\)
\(608\) 1.00047e7 1.09761
\(609\) −328323. + 1.92800e6i −0.0358722 + 0.210651i
\(610\) 2.78686e7 3.03243
\(611\) −101476. 444596.i −0.0109967 0.0481796i
\(612\) −1.46718e6 706556.i −0.158345 0.0762549i
\(613\) −7.11261e6 + 3.42525e6i −0.764500 + 0.368164i −0.775148 0.631779i \(-0.782325\pi\)
0.0106480 + 0.999943i \(0.496611\pi\)
\(614\) −4.41513e6 1.93439e7i −0.472631 2.07073i
\(615\) −606738. + 2.65829e6i −0.0646865 + 0.283410i
\(616\) −191276. 92113.6i −0.0203099 0.00978075i
\(617\) 5.00309e6 + 6.27367e6i 0.529085 + 0.663451i 0.972510 0.232860i \(-0.0748084\pi\)
−0.443426 + 0.896311i \(0.646237\pi\)
\(618\) 420144. + 526844.i 0.0442514 + 0.0554896i
\(619\) −4.70748e6 + 2.26701e6i −0.493813 + 0.237808i −0.664180 0.747573i \(-0.731219\pi\)
0.170367 + 0.985381i \(0.445505\pi\)
\(620\) −1.82494e7 + 2.28840e7i −1.90664 + 2.39085i
\(621\) −1.22357e7 −1.27321
\(622\) −3.40504e6 + 4.26978e6i −0.352895 + 0.442517i
\(623\) 311763. 1.36592e6i 0.0321814 0.140996i
\(624\) 133731. 585914.i 0.0137490 0.0602383i
\(625\) −1.11946e6 + 1.40376e6i −0.114633 + 0.143745i
\(626\) 1.51074e6 0.154083
\(627\) −1.39865e6 + 1.75385e6i −0.142082 + 0.178165i
\(628\) −3.51636e6 + 1.69339e6i −0.355791 + 0.171340i
\(629\) 1.53779e7 + 1.92833e7i 1.54978 + 1.94337i
\(630\) −264945. 332231.i −0.0265953 0.0333494i
\(631\) −1.22882e7 5.91770e6i −1.22862 0.591670i −0.296917 0.954903i \(-0.595959\pi\)
−0.931698 + 0.363233i \(0.881673\pi\)
\(632\) −661174. + 2.89679e6i −0.0658451 + 0.288486i
\(633\) −3.65508e6 1.60139e7i −0.362566 1.58851i
\(634\) 3.45612e6 1.66438e6i 0.341480 0.164448i
\(635\) 1.08474e7 + 5.22384e6i 1.06756 + 0.514110i
\(636\) −3.46290e6 1.51719e7i −0.339467 1.48730i
\(637\) 868983. 0.0848521
\(638\) 1.19252e6 + 4.14518e6i 0.115989 + 0.403173i
\(639\) 65071.1 0.00630429
\(640\) 2.79433e6 + 1.22428e7i 0.269667 + 1.18149i
\(641\) 6.33889e6 + 3.05265e6i 0.609352 + 0.293448i 0.712998 0.701166i \(-0.247337\pi\)
−0.103647 + 0.994614i \(0.533051\pi\)
\(642\) −1.17520e7 + 5.65947e6i −1.12532 + 0.541924i
\(643\) −56380.3 247018.i −0.00537774 0.0235614i 0.972168 0.234285i \(-0.0752750\pi\)
−0.977546 + 0.210724i \(0.932418\pi\)
\(644\) −810343. + 3.55035e6i −0.0769935 + 0.337331i
\(645\) −2.47865e7 1.19366e7i −2.34594 1.12974i
\(646\) −1.24822e7 1.56522e7i −1.17682 1.47569i
\(647\) −1.17279e7 1.47063e7i −1.10144 1.38116i −0.917272 0.398261i \(-0.869614\pi\)
−0.184163 0.982896i \(-0.558957\pi\)
\(648\) 4.09885e6 1.97390e6i 0.383463 0.184666i
\(649\) 1.42656e6 1.78885e6i 0.132947 0.166710i
\(650\) −2.19917e6 −0.204162
\(651\) −2.19330e6 + 2.75031e6i −0.202836 + 0.254348i
\(652\) 5.54518e6 2.42950e7i 0.510854 2.23820i
\(653\) 1.80547e6 7.91029e6i 0.165694 0.725955i −0.821991 0.569501i \(-0.807137\pi\)
0.987685 0.156454i \(-0.0500063\pi\)
\(654\) 1.41629e7 1.77597e7i 1.29482 1.62365i
\(655\) −1.02286e7 −0.931567
\(656\) 805644. 1.01025e6i 0.0730943 0.0916574i
\(657\) −1.04275e6 + 502161.i −0.0942467 + 0.0453868i
\(658\) 1.19100e6 + 1.49347e6i 0.107238 + 0.134472i
\(659\) 5.35787e6 + 6.71856e6i 0.480595 + 0.602647i 0.961730 0.274000i \(-0.0883468\pi\)
−0.481135 + 0.876646i \(0.659775\pi\)
\(660\) −5.88932e6 2.83615e6i −0.526266 0.253436i
\(661\) 1.86433e6 8.16816e6i 0.165966 0.727145i −0.821616 0.570041i \(-0.806927\pi\)
0.987582 0.157103i \(-0.0502156\pi\)
\(662\) −1.84015e6 8.06221e6i −0.163195 0.715005i
\(663\) −1.50803e6 + 726227.i −0.133237 + 0.0641636i
\(664\) −3.00342e6 1.44637e6i −0.264360 0.127309i
\(665\) −648602. 2.84171e6i −0.0568754 0.249187i
\(666\) 2.32353e6 0.202984
\(667\) 1.34532e7 7.42873e6i 1.17087 0.646547i
\(668\) −1.08493e7 −0.940720
\(669\) 4.58296e6 + 2.00793e7i 0.395896 + 1.73453i
\(670\) 1.20480e7 + 5.80202e6i 1.03688 + 0.499335i
\(671\) 3.71333e6 1.78825e6i 0.318388 0.153328i
\(672\) 779655. + 3.41589e6i 0.0666008 + 0.291797i
\(673\) −1.65218e6 + 7.23868e6i −0.140611 + 0.616058i 0.854682 + 0.519152i \(0.173752\pi\)
−0.995293 + 0.0969067i \(0.969105\pi\)
\(674\) 1.72535e7 + 8.30884e6i 1.46294 + 0.704516i
\(675\) 1.07671e7 + 1.35016e7i 0.909581 + 1.14058i
\(676\) −9.27666e6 1.16326e7i −0.780773 0.979058i
\(677\) 5.78497e6 2.78589e6i 0.485098 0.233611i −0.175317 0.984512i \(-0.556095\pi\)
0.660414 + 0.750901i \(0.270381\pi\)
\(678\) 1.54405e7 1.93618e7i 1.29000 1.61760i
\(679\) 1.39968e6 0.116507
\(680\) 7.55485e6 9.47348e6i 0.626547 0.785665i
\(681\) −2.49279e6 + 1.09216e7i −0.205977 + 0.902443i
\(682\) −1.72637e6 + 7.56374e6i −0.142126 + 0.622695i
\(683\) 2.40379e6 3.01426e6i 0.197172 0.247246i −0.673410 0.739269i \(-0.735171\pi\)
0.870582 + 0.492024i \(0.163743\pi\)
\(684\) −1.05229e6 −0.0859990
\(685\) −1.64337e7 + 2.06072e7i −1.33816 + 1.67800i
\(686\) −6.70285e6 + 3.22792e6i −0.543812 + 0.261886i
\(687\) −6.20483e6 7.78061e6i −0.501578 0.628958i
\(688\) 8.12865e6 + 1.01930e7i 0.654708 + 0.820977i
\(689\) −1.15283e6 555172.i −0.0925158 0.0445533i
\(690\) −9.28838e6 + 4.06951e7i −0.742707 + 3.25401i
\(691\) −316141. 1.38511e6i −0.0251876 0.110354i 0.960771 0.277341i \(-0.0894532\pi\)
−0.985959 + 0.166987i \(0.946596\pi\)
\(692\) −2.24366e6 + 1.08049e6i −0.178112 + 0.0857740i
\(693\) −56620.6 27267.0i −0.00447859 0.00215677i
\(694\) 2.75711e6 + 1.20797e7i 0.217298 + 0.952045i
\(695\) 47941.3 0.00376485
\(696\) −3.04176e6 + 4.28356e6i −0.238014 + 0.335183i
\(697\) −3.59875e6 −0.280588
\(698\) −1.75549e6 7.69130e6i −0.136383 0.597532i
\(699\) −1.97544e7 9.51321e6i −1.52922 0.736435i
\(700\) 4.63073e6 2.23004e6i 0.357194 0.172016i
\(701\) 1.37126e6 + 6.00788e6i 0.105396 + 0.461770i 0.999892 + 0.0146944i \(0.00467753\pi\)
−0.894496 + 0.447076i \(0.852465\pi\)
\(702\) 368448. 1.61428e6i 0.0282185 0.123633i
\(703\) 1.43595e7 + 6.91517e6i 1.09585 + 0.527733i
\(704\) 3.28768e6 + 4.12262e6i 0.250010 + 0.313503i
\(705\) 7.61684e6 + 9.55121e6i 0.577168 + 0.723745i
\(706\) −1.06927e7 + 5.14931e6i −0.807373 + 0.388810i
\(707\) −840064. + 1.05341e6i −0.0632068 + 0.0792589i
\(708\) 1.34170e7 1.00594
\(709\) −3.39192e6 + 4.25333e6i −0.253414 + 0.317771i −0.892224 0.451594i \(-0.850856\pi\)
0.638810 + 0.769365i \(0.279427\pi\)
\(710\) −518710. + 2.27262e6i −0.0386170 + 0.169192i
\(711\) −195718. + 857495.i −0.0145196 + 0.0636147i
\(712\) 2.34657e6 2.94250e6i 0.173473 0.217529i
\(713\) 2.76420e7 2.03632
\(714\) 4.37137e6 5.48153e6i 0.320902 0.402398i
\(715\) −484229. + 233192.i −0.0354230 + 0.0170588i
\(716\) 1.57672e6 + 1.97714e6i 0.114940 + 0.144130i
\(717\) −9.81352e6 1.23058e7i −0.712897 0.893945i
\(718\) −1.47320e7 7.09456e6i −1.06648 0.513588i
\(719\) −2.13634e6 + 9.35991e6i −0.154116 + 0.675226i 0.837547 + 0.546366i \(0.183989\pi\)
−0.991663 + 0.128861i \(0.958868\pi\)
\(720\) 286578. + 1.25558e6i 0.0206021 + 0.0902639i
\(721\) −116666. + 56183.5i −0.00835809 + 0.00402505i
\(722\) 7.32527e6 + 3.52766e6i 0.522974 + 0.251851i
\(723\) 1.94655e6 + 8.52839e6i 0.138490 + 0.606766i
\(724\) 4.83741e6 0.342978
\(725\) −2.00357e7 8.30786e6i −1.41566 0.587009i
\(726\) 2.05368e7 1.44608
\(727\) −3.60294e6 1.57855e7i −0.252825 1.10770i −0.928743 0.370724i \(-0.879110\pi\)
0.675918 0.736977i \(-0.263747\pi\)
\(728\) −92223.4 44412.5i −0.00644930 0.00310582i
\(729\) −1.16169e7 + 5.59438e6i −0.809599 + 0.389882i
\(730\) −9.22585e6 4.04211e7i −0.640766 2.80738i
\(731\) 8.07975e6 3.53997e7i 0.559248 2.45022i
\(732\) 2.17750e7 + 1.04863e7i 1.50204 + 0.723344i
\(733\) −885282. 1.11011e6i −0.0608585 0.0763142i 0.750471 0.660904i \(-0.229827\pi\)
−0.811329 + 0.584590i \(0.801255\pi\)
\(734\) −611139. 766344.i −0.0418697 0.0525030i
\(735\) −2.09736e7 + 1.01004e7i −1.43204 + 0.689633i
\(736\) 1.71657e7 2.15252e7i 1.16807 1.46471i
\(737\) 1.97762e6 0.134114
\(738\) −211378. + 265060.i −0.0142863 + 0.0179145i
\(739\) −4.04530e6 + 1.77236e7i −0.272483 + 1.19383i 0.634589 + 0.772850i \(0.281169\pi\)
−0.907072 + 0.420976i \(0.861688\pi\)
\(740\) −1.03342e7 + 4.52771e7i −0.693741 + 3.03948i
\(741\) −674356. + 845616.i −0.0451174 + 0.0565754i
\(742\) 5.35974e6 0.357383
\(743\) −4.84335e6 + 6.07337e6i −0.321865 + 0.403606i −0.916271 0.400559i \(-0.868816\pi\)
0.594406 + 0.804165i \(0.297387\pi\)
\(744\) −8.51388e6 + 4.10007e6i −0.563891 + 0.271556i
\(745\) −1.49690e7 1.87705e7i −0.988102 1.23904i
\(746\) −1.37522e6 1.72447e6i −0.0904743 0.113451i
\(747\) −889057. 428147.i −0.0582946 0.0280732i
\(748\) 1.91976e6 8.41102e6i 0.125457 0.549661i
\(749\) −557750. 2.44366e6i −0.0363274 0.159161i
\(750\) 1.84443e7 8.88231e6i 1.19732 0.576597i
\(751\) 365534. + 176032.i 0.0236498 + 0.0113892i 0.445671 0.895197i \(-0.352965\pi\)
−0.422021 + 0.906586i \(0.638679\pi\)
\(752\) −1.28825e6 5.64418e6i −0.0830720 0.363962i
\(753\) 2.53795e7 1.63116
\(754\) 574974. + 1.99859e6i 0.0368315 + 0.128025i
\(755\) 2.28855e6 0.146114
\(756\) 861106. + 3.77275e6i 0.0547964 + 0.240079i
\(757\) 2.01821e7 + 9.71918e6i 1.28005 + 0.616439i 0.945402 0.325906i \(-0.105669\pi\)
0.334645 + 0.942344i \(0.391383\pi\)
\(758\) −1.71609e7 + 8.26423e6i −1.08484 + 0.522432i
\(759\) 1.37366e6 + 6.01838e6i 0.0865513 + 0.379206i
\(760\) 1.74232e6 7.63361e6i 0.109419 0.479398i
\(761\) 2.33469e6 + 1.12433e6i 0.146139 + 0.0703769i 0.505524 0.862812i \(-0.331299\pi\)
−0.359385 + 0.933189i \(0.617013\pi\)
\(762\) 1.16678e7 + 1.46309e7i 0.727948 + 0.912818i
\(763\) 2.72157e6 + 3.41274e6i 0.169242 + 0.212223i
\(764\) −2.46342e7 + 1.18632e7i −1.52688 + 0.735305i
\(765\) 2.23635e6 2.80429e6i 0.138161 0.173249i
\(766\) 1.61192e7 0.992595
\(767\) 687812. 862489.i 0.0422164 0.0529377i
\(768\) 1.10814e6 4.85506e6i 0.0677937 0.297024i