Properties

Label 29.6.d.a.25.2
Level $29$
Weight $6$
Character 29.25
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 25.2
Character \(\chi\) \(=\) 29.25
Dual form 29.6.d.a.7.2

$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{7}\right)\)

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 0.475268 + 0.879841i \(0.342351\pi\)
−0.809950 + 0.586499i \(0.800506\pi\)
\(3\) 14.6426 7.05150i 0.939322 0.452354i 0.0993920 0.995048i \(-0.468310\pi\)
0.839930 + 0.542695i \(0.182596\pi\)
\(4\) −36.3895 17.5242i −1.13717 0.547633i
\(5\) −19.7959 + 86.7313i −0.354119 + 1.55150i 0.413448 + 0.910528i \(0.364324\pi\)
−0.767567 + 0.640969i \(0.778533\pi\)
\(6\) 30.7692 + 134.809i 0.348930 + 1.52876i
\(7\) 23.9398 11.5288i 0.184661 0.0889282i −0.339269 0.940689i \(-0.610180\pi\)
0.523930 + 0.851761i \(0.324465\pi\)
\(8\) 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 0.687235 0.726435i \(-0.258824\pi\)
−0.861146 + 0.508358i \(0.830253\pi\)
\(12\) −656.408 −1.31589
\(13\) −33.6503 42.1961i −0.0552243 0.0692491i 0.753452 0.657503i \(-0.228387\pi\)
−0.808677 + 0.588254i \(0.799816\pi\)
\(14\) 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 0.752204 0.658930i \(-0.228991\pi\)
−0.0461811 + 0.998933i \(0.514705\pi\)
\(20\) 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 0.873650 + 0.486555i \(0.161747\pi\)
−0.576023 + 0.817433i \(0.695396\pi\)
\(24\) 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 −0.462837 0.886444i \(-0.653168\pi\)
0.801615 0.597841i \(-0.203975\pi\)
\(32\) 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 −0.00918457 0.999958i \(-0.502924\pi\)
0.976931 0.213557i \(-0.0685050\pi\)
\(38\) −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 0.778965 + 0.627068i \(0.215745\pi\)
−0.429749 + 0.902949i \(0.641398\pi\)
\(44\) 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 0.576857 0.816845i \(-0.304279\pi\)
−0.924728 + 0.380628i \(0.875708\pi\)
\(48\) −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 −0.665439 0.746452i \(-0.731756\pi\)
0.923413 0.383807i \(-0.125387\pi\)
\(54\) −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 −0.906458 0.422297i \(-0.861224\pi\)
−0.235002 + 0.971995i \(0.575510\pi\)
\(62\) 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 −0.908794 0.417246i \(-0.862995\pi\)
0.609010 + 0.793162i \(0.291567\pi\)
\(68\) −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 0.803921 0.594737i \(-0.202744\pi\)
−0.758715 + 0.651423i \(0.774172\pi\)
\(72\) −335.588 1470.31i −0.00762914 0.0334254i
\(73\) −12188.9 53403.2i −0.267706 1.17290i −0.912674 0.408688i \(-0.865986\pi\)
0.644968 0.764210i \(-0.276871\pi\)
\(74\) 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 −0.490762 0.871294i \(-0.663281\pi\)
0.958653 + 0.284576i \(0.0918528\pi\)
\(80\) 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 0.0675141 0.997718i \(-0.478493\pi\)
−0.737953 + 0.674852i \(0.764208\pi\)
\(84\) −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 0.833729 + 0.552174i \(0.186201\pi\)
−0.990743 + 0.135750i \(0.956656\pi\)
\(90\) −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 0.672064 0.740493i \(-0.265408\pi\)
−0.159915 + 0.987131i \(0.551122\pi\)
\(98\) −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 −0.999675 0.0254989i \(-0.991883\pi\)
0.889612 0.456716i \(-0.150975\pi\)
\(102\) 58714.9 + 257247.i 0.558789 + 2.44821i
\(103\) −3038.46 3810.11i −0.0282202 0.0353871i 0.767521 0.641024i \(-0.221490\pi\)
−0.795741 + 0.605637i \(0.792919\pi\)
\(104\) −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 −0.965464 0.260537i \(-0.916100\pi\)
0.468841 + 0.883283i \(0.344672\pi\)
\(108\) 90803.8 113864.i 0.749108 0.939352i
\(109\) 148009. 71277.4i 1.19322 0.574627i 0.271488 0.962442i \(-0.412484\pi\)
0.921737 + 0.387815i \(0.126770\pi\)
\(110\) 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 0.268323 0.963329i \(-0.413530\pi\)
0.920458 + 0.390842i \(0.127816\pi\)
\(114\) −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 0.493517 0.869736i \(-0.335711\pi\)
−0.957748 + 0.287609i \(0.907139\pi\)
\(128\) −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 0.997363 + 0.0725739i \(0.0231213\pi\)
−0.867104 + 0.498126i \(0.834022\pi\)
\(132\) 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 0.156892 + 0.987616i \(0.449853\pi\)
−0.997766 + 0.0668071i \(0.978719\pi\)
\(138\) −422742. + 203582.i −1.88963 + 0.910000i
\(139\) −119.916 525.387i −0.000526430 0.00230644i 0.974664 0.223674i \(-0.0718051\pi\)
−0.975190 + 0.221368i \(0.928948\pi\)
\(140\) 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 0.824888 0.565296i \(-0.191238\pi\)
0.0723426 + 0.997380i \(0.476953\pi\)
\(150\) 147360. 645624.i 0.534749 2.34289i
\(151\) −5724.37 25080.1i −0.0204308 0.0895132i 0.963685 0.267043i \(-0.0860465\pi\)
−0.984115 + 0.177530i \(0.943189\pi\)
\(152\) 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 −0.892126 0.451786i \(-0.850787\pi\)
−0.241942 0.970291i \(-0.577784\pi\)
\(164\) 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 −0.0668736 0.997761i \(-0.521302\pi\)
0.738386 + 0.674378i \(0.235588\pi\)
\(168\) −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 −0.988575 0.150729i \(-0.951838\pi\)
0.956074 + 0.293125i \(0.0946952\pi\)
\(180\) −16893.3 74014.5i −0.0388628 0.170269i
\(181\) −107909. + 51966.1i −0.244827 + 0.117903i −0.552274 0.833663i \(-0.686240\pi\)
0.307447 + 0.951565i \(0.400525\pi\)
\(182\) 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 0.127853 0.991793i \(-0.459192\pi\)
−0.695700 + 0.718332i \(0.744906\pi\)
\(194\) −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 −0.915329 0.402706i \(-0.868070\pi\)
0.649956 0.759972i \(-0.274788\pi\)
\(198\) 4477.76 19618.4i 0.00811705 0.0355631i
\(199\) 410327. + 197603.i 0.734510 + 0.353722i 0.763456 0.645859i \(-0.223501\pi\)
−0.0289460 + 0.999581i \(0.509215\pi\)
\(200\) −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 0.000668286 1.00000i \(0.499787\pi\)
−0.975076 + 0.221869i \(0.928784\pi\)
\(212\) −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 0.124262 0.992249i \(-0.460344\pi\)
0.939721 0.341943i \(-0.111085\pi\)
\(224\) 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 −0.774813 0.632190i \(-0.782156\pi\)
0.972380 0.233405i \(-0.0749868\pi\)
\(228\) −729250. 351188.i −0.929051 0.447407i
\(229\) −551699. + 265684.i −0.695207 + 0.334794i −0.747895 0.663817i \(-0.768935\pi\)
0.0526883 + 0.998611i \(0.483221\pi\)
\(230\) 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 −0.856885 0.515507i \(-0.827603\pi\)
−0.131219 + 0.991353i \(0.541889\pi\)
\(240\) 617639. 774495.i 0.692161 0.867942i
\(241\) 335595. 420823.i 0.372197 0.466721i −0.560094 0.828429i \(-0.689235\pi\)
0.932291 + 0.361708i \(0.117806\pi\)
\(242\) 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 0.975087 0.221824i \(-0.0712010\pi\)
0.434528 + 0.900658i \(0.356915\pi\)
\(252\) −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 0.799173 0.601101i \(-0.205271\pi\)
0.0283161 + 0.999599i \(0.490986\pi\)
\(258\) −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 0.733570 + 0.679614i \(0.237853\pi\)
−0.955797 + 0.294027i \(0.905004\pi\)
\(264\) −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 −0.566409 0.824125i \(-0.691668\pi\)
0.929500 + 0.368823i \(0.120239\pi\)
\(270\) 1.70168e6 2.13384e6i 1.42059 1.78137i
\(271\) −2.00237e6 964291.i −1.65623 0.797600i −0.999037 0.0438804i \(-0.986028\pi\)
−0.657196 0.753719i \(-0.728258\pi\)
\(272\) −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 0.815816 0.578311i \(-0.196288\pi\)
−0.745348 + 0.666675i \(0.767717\pi\)
\(278\) 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 −0.957709 0.287738i \(-0.907097\pi\)
0.493634 + 0.869670i \(0.335668\pi\)
\(282\) 728465. 913466.i 0.545489 0.684021i
\(283\) −188508. + 90780.5i −0.139915 + 0.0673793i −0.502531 0.864559i \(-0.667598\pi\)
0.362617 + 0.931938i \(0.381883\pi\)
\(284\) −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 −0.928078 0.372386i \(-0.878540\pi\)
−0.287504 + 0.957780i \(0.592825\pi\)
\(294\) −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 −0.885182 0.465245i \(-0.845966\pi\)
0.650552 + 0.759462i \(0.274538\pi\)
\(312\) −56407.6 + 27164.5i −0.0328059 + 0.0157985i
\(313\) −39511.5 173111.i −0.0227962 0.0998768i 0.962250 0.272167i \(-0.0877404\pi\)
−0.985046 + 0.172290i \(0.944883\pi\)
\(314\) −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 −0.939121 0.343586i \(-0.888358\pi\)
0.995195 + 0.0979087i \(0.0312153\pi\)
\(318\) 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 0.321591 0.946879i \(-0.395782\pi\)
−0.994699 + 0.102828i \(0.967211\pi\)
\(338\) 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 0.864374 + 0.502850i \(0.167715\pi\)
−0.996952 + 0.0780144i \(0.975142\pi\)
\(354\) −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 0.964101 0.265535i \(-0.0855485\pi\)
−0.473410 + 0.880842i \(0.656977\pi\)
\(360\) 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 0.453889 0.891058i \(-0.350036\pi\)
−0.413662 + 0.910430i \(0.635750\pi\)
\(368\) 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 0.476841 0.878990i \(-0.341782\pi\)
−0.389916 + 0.920850i \(0.627496\pi\)
\(374\) 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 0.804346 + 0.594161i \(0.202516\pi\)
−0.982488 + 0.186328i \(0.940341\pi\)
\(380\) 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 −0.993748 0.111644i \(-0.964389\pi\)
0.846896 0.531759i \(-0.178469\pi\)
\(384\) −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 −0.503880 0.863774i \(-0.668095\pi\)
0.954241 + 0.299039i \(0.0966659\pi\)
\(398\) −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 −0.605813 0.795607i \(-0.707152\pi\)
0.891020 0.453965i \(-0.149991\pi\)
\(402\) −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 −0.888466 0.458943i \(-0.848228\pi\)
−0.195133 + 0.980777i \(0.562514\pi\)
\(410\) 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 0.999318 0.0369358i \(-0.0117597\pi\)
−0.258379 + 0.966044i \(0.583188\pi\)
\(420\) −345270. 1.51273e6i −0.0955072 0.418444i
\(421\) 1.06490e6 + 4.66564e6i 0.292822 + 1.28294i 0.880578 + 0.473900i \(0.157154\pi\)
−0.587756 + 0.809038i \(0.699989\pi\)
\(422\) −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 −0.327190 0.944959i \(-0.606102\pi\)
−0.942798 + 0.333365i \(0.891816\pi\)
\(432\) 2.22594e6 1.07196e6i 0.573857 0.276355i
\(433\) 1.49803e6 6.56331e6i 0.383973 1.68230i −0.300916 0.953651i \(-0.597292\pi\)
0.684889 0.728647i \(-0.259851\pi\)
\(434\) 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 0.388776 0.921332i \(-0.372898\pi\)
−0.477929 + 0.878399i \(0.658612\pi\)
\(440\) 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 −0.928388 0.371613i \(-0.878805\pi\)
0.568882 + 0.822419i \(0.307376\pi\)
\(444\) −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 −0.999700 0.0244787i \(-0.992207\pi\)
0.890078 0.455808i \(-0.150650\pi\)
\(450\) −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 0.210373 0.977621i \(-0.432532\pi\)
0.895501 + 0.445060i \(0.146818\pi\)
\(458\) −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 −0.822697 0.568479i \(-0.807532\pi\)
−0.0684883 + 0.997652i \(0.521818\pi\)
\(462\) 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 −0.453286 0.891365i \(-0.649748\pi\)
0.414278 + 0.910150i \(0.364034\pi\)
\(468\) 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 −0.999969 0.00793218i \(-0.997475\pi\)
0.897499 0.441017i \(-0.145382\pi\)
\(480\) 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 −0.990277 0.139112i \(-0.955575\pi\)
0.831850 0.555000i \(-0.187282\pi\)
\(488\) −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 0.318540 + 0.947909i \(0.396807\pi\)
−0.698277 + 0.715827i \(0.746050\pi\)
\(492\) 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 0.998579 0.0532957i \(-0.0169726\pi\)
−0.922813 + 0.385249i \(0.874115\pi\)
\(500\) −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 −0.243759 0.969836i \(-0.578380\pi\)
−0.910229 + 0.414105i \(0.864095\pi\)
\(504\) −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 0.903835 0.427881i \(-0.140740\pi\)
−0.618275 + 0.785962i \(0.712168\pi\)
\(510\) −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 0.991446 0.130517i \(-0.0416637\pi\)
0.516114 + 0.856520i \(0.327378\pi\)
\(542\) 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 −0.0303075 0.999541i \(-0.509649\pi\)
−0.800369 + 0.599508i \(0.795363\pi\)
\(548\) 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 0.886691 + 0.462363i \(0.152998\pi\)
−0.598269 + 0.801295i \(0.704145\pi\)
\(558\) 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 0.725247 0.688489i \(-0.241726\pi\)
−0.832610 + 0.553860i \(0.813154\pi\)
\(570\) −1.36663e7 6.58134e6i −1.76183 0.848452i
\(571\) −4.31701e6 + 5.41335e6i −0.554105 + 0.694826i −0.977456 0.211140i \(-0.932282\pi\)
0.423350 + 0.905966i \(0.360854\pi\)
\(572\) 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 −0.0519193 0.998651i \(-0.516534\pi\)
0.748406 + 0.663241i \(0.230820\pi\)
\(578\) −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 −0.586404 0.810019i \(-0.699457\pi\)
0.267681 + 0.963508i \(0.413743\pi\)
\(588\) 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 0.974472 0.224508i \(-0.0720775\pi\)
−0.435720 + 0.900082i \(0.643506\pi\)
\(594\) 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 −0.367278 0.930111i \(-0.619710\pi\)
−0.956184 + 0.292766i \(0.905424\pi\)
\(600\) −3.46386e6 + 4.34355e6i −0.392810 + 0.492568i
\(601\) −3.85383e6 + 4.83255e6i −0.435218 + 0.545746i −0.950276 0.311410i \(-0.899199\pi\)
0.515058 + 0.857155i \(0.327770\pi\)
\(602\) −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 0.540487 + 0.841353i \(0.318240\pi\)
−0.852011 + 0.523524i \(0.824617\pi\)
\(608\) 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 0.0106480 0.999943i \(-0.496611\pi\)
−0.775148 + 0.631779i \(0.782325\pi\)
\(614\) −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 −0.443426 0.896311i \(-0.646237\pi\)
0.972510 + 0.232860i \(0.0748084\pi\)
\(618\) 420144. 526844.i 0.0442514 0.0554896i
\(619\) −4.70748e6 2.26701e6i −0.493813 0.237808i 0.170367 0.985381i \(-0.445505\pi\)
−0.664180 + 0.747573i \(0.731219\pi\)
\(620\) −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 −0.931698 0.363233i \(-0.881673\pi\)
−0.296917 + 0.954903i \(0.595959\pi\)
\(632\) −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 −0.103647 0.994614i \(-0.533051\pi\)
0.712998 + 0.701166i \(0.247337\pi\)
\(642\) −1.17520e7 5.65947e6i −1.12532 0.541924i
\(643\) −56380.3 + 247018.i −0.00537774 + 0.0235614i −0.977546 0.210724i \(-0.932418\pi\)
0.972168 + 0.234285i \(0.0752750\pi\)
\(644\) −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 −0.184163 + 0.982896i \(0.558957\pi\)
−0.917272 + 0.398261i \(0.869614\pi\)
\(648\) 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 0.987685 + 0.156454i \(0.0500063\pi\)
−0.821991 + 0.569501i \(0.807137\pi\)
\(654\) 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 −0.481135 0.876646i \(-0.659775\pi\)
0.961730 + 0.274000i \(0.0883468\pi\)
\(660\) −5.88932e6 + 2.83615e6i −0.526266 + 0.253436i
\(661\) 1.86433e6 + 8.16816e6i 0.165966 + 0.727145i 0.987582 + 0.157103i \(0.0502156\pi\)
−0.821616 + 0.570041i \(0.806927\pi\)
\(662\) −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 −0.995293 0.0969067i \(-0.969105\pi\)
0.854682 0.519152i \(-0.173752\pi\)
\(674\) 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 0.660414 0.750901i \(-0.270381\pi\)
−0.175317 + 0.984512i \(0.556095\pi\)
\(678\) 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 0.870582 0.492024i \(-0.163743\pi\)
−0.673410 + 0.739269i \(0.735171\pi\)
\(684\) −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 −0.985959 0.166987i \(-0.946596\pi\)
0.960771 + 0.277341i \(0.0894532\pi\)
\(692\) −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 −0.894496 0.447076i \(-0.852465\pi\)
0.999892 0.0146944i \(-0.00467753\pi\)
\(702\) 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 0.638810 0.769365i \(-0.279427\pi\)
−0.892224 + 0.451594i \(0.850856\pi\)
\(710\) −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 −0.991663 0.128861i \(-0.958868\pi\)
0.837547 0.546366i \(-0.183989\pi\)
\(720\) 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 0.675918 + 0.736977i \(0.263747\pi\)
−0.928743 + 0.370724i \(0.879110\pi\)
\(728\) −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 −0.811329 0.584590i \(-0.801255\pi\)
0.750471 + 0.660904i \(0.229827\pi\)
\(734\) −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 −0.907072 0.420976i \(-0.861688\pi\)
0.634589 0.772850i \(-0.281169\pi\)
\(740\) −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 0.594406 0.804165i \(-0.297387\pi\)
−0.916271 + 0.400559i \(0.868816\pi\)
\(744\) −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 −0.422021 0.906586i \(-0.638679\pi\)
0.445671 + 0.895197i \(0.352965\pi\)
\(752\) −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 0.334645 0.942344i \(-0.391383\pi\)
0.945402 + 0.325906i \(0.105669\pi\)
\(758\) −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 −0.359385 0.933189i \(-0.617013\pi\)
0.505524 + 0.862812i \(0.331299\pi\)
\(762\) 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 +