Properties

Label 29.6.d.a.20.1
Level $29$
Weight $6$
Character 29.20
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 20.1
Character \(\chi\) \(=\) 29.20
Dual form 29.6.d.a.16.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-9.29727 + 4.47733i) q^{2} +(-16.9028 - 21.1954i) q^{3} +(46.4410 - 58.2352i) q^{4} +(-29.3057 + 14.1129i) q^{5} +(252.049 + 121.380i) q^{6} +(-125.979 - 157.972i) q^{7} +(-97.5569 + 427.425i) q^{8} +(-109.469 + 479.616i) q^{9} +O(q^{10})\) \(q+(-9.29727 + 4.47733i) q^{2} +(-16.9028 - 21.1954i) q^{3} +(46.4410 - 58.2352i) q^{4} +(-29.3057 + 14.1129i) q^{5} +(252.049 + 121.380i) q^{6} +(-125.979 - 157.972i) q^{7} +(-97.5569 + 427.425i) q^{8} +(-109.469 + 479.616i) q^{9} +(209.275 - 262.422i) q^{10} +(28.6749 + 125.633i) q^{11} -2019.30 q^{12} +(52.5736 + 230.340i) q^{13} +(1878.55 + 904.662i) q^{14} +(794.476 + 382.600i) q^{15} +(-476.321 - 2086.90i) q^{16} +1590.68 q^{17} +(-1129.63 - 4949.25i) q^{18} +(455.054 - 570.620i) q^{19} +(-539.120 + 2362.04i) q^{20} +(-1218.90 + 5340.34i) q^{21} +(-829.098 - 1039.66i) q^{22} +(-3244.29 - 1562.37i) q^{23} +(10708.4 - 5156.91i) q^{24} +(-1288.76 + 1616.05i) q^{25} +(-1520.10 - 1906.14i) q^{26} +(6080.67 - 2928.30i) q^{27} -15050.1 q^{28} +(2542.38 + 3747.99i) q^{29} -9099.48 q^{30} +(2326.29 - 1120.28i) q^{31} +(5025.06 + 6301.22i) q^{32} +(2178.16 - 2731.32i) q^{33} +(-14789.0 + 7122.01i) q^{34} +(5921.33 + 2851.56i) q^{35} +(22846.7 + 28648.8i) q^{36} +(920.767 - 4034.14i) q^{37} +(-1675.91 + 7342.63i) q^{38} +(3993.52 - 5007.71i) q^{39} +(-3173.22 - 13902.8i) q^{40} -6002.77 q^{41} +(-12578.0 - 55108.0i) q^{42} +(-754.262 - 363.234i) q^{43} +(8647.95 + 4164.63i) q^{44} +(-3560.69 - 15600.4i) q^{45} +37158.2 q^{46} +(6459.90 + 28302.7i) q^{47} +(-36181.5 + 45370.2i) q^{48} +(-5344.70 + 23416.6i) q^{49} +(4746.33 - 20795.0i) q^{50} +(-26887.0 - 33715.2i) q^{51} +(15855.5 + 7635.59i) q^{52} +(-10758.0 + 5180.78i) q^{53} +(-43422.7 + 54450.3i) q^{54} +(-2613.38 - 3277.07i) q^{55} +(79811.4 - 38435.1i) q^{56} -19786.2 q^{57} +(-40418.2 - 23463.0i) q^{58} -23352.8 q^{59} +(59177.0 - 28498.2i) q^{60} +(4690.60 + 5881.83i) q^{61} +(-16612.3 + 20831.1i) q^{62} +(89556.8 - 43128.3i) q^{63} +(-13217.2 - 6365.08i) q^{64} +(-4791.47 - 6008.31i) q^{65} +(-8021.88 + 35146.2i) q^{66} +(4222.98 - 18502.1i) q^{67} +(73873.0 - 92633.8i) q^{68} +(21722.5 + 95172.4i) q^{69} -67819.6 q^{70} +(3913.86 + 17147.7i) q^{71} +(-194320. - 93579.8i) q^{72} +(-7562.27 - 3641.80i) q^{73} +(9501.57 + 41629.1i) q^{74} +56036.4 q^{75} +(-12097.0 - 53000.3i) q^{76} +(16234.1 - 20356.9i) q^{77} +(-14707.6 + 64438.3i) q^{78} +(-8554.21 + 37478.4i) q^{79} +(43411.0 + 54435.7i) q^{80} +(-57141.5 - 27517.9i) q^{81} +(55809.4 - 26876.4i) q^{82} +(-47476.0 + 59533.0i) q^{83} +(254389. + 318994. i) q^{84} +(-46616.1 + 22449.1i) q^{85} +8638.89 q^{86} +(36467.0 - 117238. i) q^{87} -56496.1 q^{88} +(6270.12 - 3019.53i) q^{89} +(102953. + 129099. i) q^{90} +(29764.2 - 37323.1i) q^{91} +(-241653. + 116374. i) q^{92} +(-63065.7 - 30370.9i) q^{93} +(-186780. - 234214. i) q^{94} +(-5282.59 + 23144.5i) q^{95} +(48619.6 - 213016. i) q^{96} +(9628.21 - 12073.4i) q^{97} +(-55152.9 - 241641. i) q^{98} -63394.6 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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.29727 + 4.47733i −1.64354 + 0.791487i −0.643888 + 0.765120i \(0.722680\pi\)
−0.999652 + 0.0263670i \(0.991606\pi\)
\(3\) −16.9028 21.1954i −1.08431 1.35969i −0.928257 0.371939i \(-0.878693\pi\)
−0.156057 0.987748i \(-0.549878\pi\)
\(4\) 46.4410 58.2352i 1.45128 1.81985i
\(5\) −29.3057 + 14.1129i −0.524236 + 0.252459i −0.677234 0.735768i \(-0.736822\pi\)
0.152998 + 0.988227i \(0.451107\pi\)
\(6\) 252.049 + 121.380i 2.85829 + 1.37648i
\(7\) −125.979 157.972i −0.971744 1.21853i −0.975829 0.218537i \(-0.929872\pi\)
0.00408480 0.999992i \(-0.498700\pi\)
\(8\) −97.5569 + 427.425i −0.538931 + 2.36121i
\(9\) −109.469 + 479.616i −0.450491 + 1.97373i
\(10\) 209.275 262.422i 0.661785 0.829852i
\(11\) 28.6749 + 125.633i 0.0714530 + 0.313056i 0.998007 0.0631063i \(-0.0201007\pi\)
−0.926554 + 0.376162i \(0.877244\pi\)
\(12\) −2019.30 −4.04807
\(13\) 52.5736 + 230.340i 0.0862799 + 0.378017i 0.999571 0.0292907i \(-0.00932486\pi\)
−0.913291 + 0.407308i \(0.866468\pi\)
\(14\) 1878.55 + 904.662i 2.56155 + 1.23358i
\(15\) 794.476 + 382.600i 0.911702 + 0.439052i
\(16\) −476.321 2086.90i −0.465157 2.03799i
\(17\) 1590.68 1.33494 0.667470 0.744637i \(-0.267377\pi\)
0.667470 + 0.744637i \(0.267377\pi\)
\(18\) −1129.63 4949.25i −0.821782 3.60046i
\(19\) 455.054 570.620i 0.289187 0.362629i −0.615923 0.787806i \(-0.711217\pi\)
0.905110 + 0.425177i \(0.139788\pi\)
\(20\) −539.120 + 2362.04i −0.301377 + 1.32042i
\(21\) −1218.90 + 5340.34i −0.603142 + 2.64254i
\(22\) −829.098 1039.66i −0.365215 0.457966i
\(23\) −3244.29 1562.37i −1.27879 0.615833i −0.333712 0.942675i \(-0.608301\pi\)
−0.945079 + 0.326842i \(0.894016\pi\)
\(24\) 10708.4 5156.91i 3.79488 1.82752i
\(25\) −1288.76 + 1616.05i −0.412402 + 0.517135i
\(26\) −1520.10 1906.14i −0.441000 0.552996i
\(27\) 6080.67 2928.30i 1.60525 0.773047i
\(28\) −15050.1 −3.62781
\(29\) 2542.38 + 3747.99i 0.561365 + 0.827568i
\(30\) −9099.48 −1.84592
\(31\) 2326.29 1120.28i 0.434771 0.209374i −0.203680 0.979038i \(-0.565290\pi\)
0.638450 + 0.769663i \(0.279576\pi\)
\(32\) 5025.06 + 6301.22i 0.867493 + 1.08780i
\(33\) 2178.16 2731.32i 0.348181 0.436605i
\(34\) −14789.0 + 7122.01i −2.19403 + 1.05659i
\(35\) 5921.33 + 2851.56i 0.817051 + 0.393471i
\(36\) 22846.7 + 28648.8i 2.93810 + 3.68426i
\(37\) 920.767 4034.14i 0.110572 0.484448i −0.889072 0.457767i \(-0.848649\pi\)
0.999644 0.0266804i \(-0.00849363\pi\)
\(38\) −1675.91 + 7342.63i −0.188274 + 0.824883i
\(39\) 3993.52 5007.71i 0.420430 0.527203i
\(40\) −3173.22 13902.8i −0.313581 1.37389i
\(41\) −6002.77 −0.557689 −0.278845 0.960336i \(-0.589951\pi\)
−0.278845 + 0.960336i \(0.589951\pi\)
\(42\) −12578.0 55108.0i −1.10025 4.82049i
\(43\) −754.262 363.234i −0.0622087 0.0299581i 0.402521 0.915411i \(-0.368134\pi\)
−0.464729 + 0.885453i \(0.653848\pi\)
\(44\) 8647.95 + 4164.63i 0.673413 + 0.324299i
\(45\) −3560.69 15600.4i −0.262122 1.14843i
\(46\) 37158.2 2.58917
\(47\) 6459.90 + 28302.7i 0.426561 + 1.86889i 0.491310 + 0.870985i \(0.336518\pi\)
−0.0647494 + 0.997902i \(0.520625\pi\)
\(48\) −36181.5 + 45370.2i −2.26665 + 2.84229i
\(49\) −5344.70 + 23416.6i −0.318004 + 1.39327i
\(50\) 4746.33 20795.0i 0.268493 1.17634i
\(51\) −26887.0 33715.2i −1.44749 1.81510i
\(52\) 15855.5 + 7635.59i 0.813150 + 0.391593i
\(53\) −10758.0 + 5180.78i −0.526068 + 0.253341i −0.678015 0.735048i \(-0.737160\pi\)
0.151948 + 0.988389i \(0.451445\pi\)
\(54\) −43422.7 + 54450.3i −2.02643 + 2.54107i
\(55\) −2613.38 3277.07i −0.116492 0.146076i
\(56\) 79811.4 38435.1i 3.40091 1.63779i
\(57\) −19786.2 −0.806632
\(58\) −40418.2 23463.0i −1.57764 0.915828i
\(59\) −23352.8 −0.873393 −0.436696 0.899609i \(-0.643852\pi\)
−0.436696 + 0.899609i \(0.643852\pi\)
\(60\) 59177.0 28498.2i 2.12215 1.02197i
\(61\) 4690.60 + 5881.83i 0.161400 + 0.202389i 0.855955 0.517050i \(-0.172970\pi\)
−0.694555 + 0.719440i \(0.744399\pi\)
\(62\) −16612.3 + 20831.1i −0.548846 + 0.688231i
\(63\) 89556.8 43128.3i 2.84281 1.36902i
\(64\) −13217.2 6365.08i −0.403358 0.194247i
\(65\) −4791.47 6008.31i −0.140665 0.176388i
\(66\) −8021.88 + 35146.2i −0.226682 + 0.993158i
\(67\) 4222.98 18502.1i 0.114930 0.503540i −0.884393 0.466743i \(-0.845427\pi\)
0.999323 0.0367970i \(-0.0117155\pi\)
\(68\) 73873.0 92633.8i 1.93737 2.42939i
\(69\) 21722.5 + 95172.4i 0.549271 + 2.40651i
\(70\) −67819.6 −1.65428
\(71\) 3913.86 + 17147.7i 0.0921424 + 0.403702i 0.999874 0.0158483i \(-0.00504489\pi\)
−0.907732 + 0.419550i \(0.862188\pi\)
\(72\) −194320. 93579.8i −4.41761 2.12741i
\(73\) −7562.27 3641.80i −0.166091 0.0799850i 0.348991 0.937126i \(-0.386524\pi\)
−0.515082 + 0.857141i \(0.672239\pi\)
\(74\) 9501.57 + 41629.1i 0.201705 + 0.883726i
\(75\) 56036.4 1.15032
\(76\) −12097.0 53000.3i −0.240239 1.05255i
\(77\) 16234.1 20356.9i 0.312033 0.391278i
\(78\) −14707.6 + 64438.3i −0.273720 + 1.19924i
\(79\) −8554.21 + 37478.4i −0.154210 + 0.675638i 0.837424 + 0.546554i \(0.184061\pi\)
−0.991634 + 0.129084i \(0.958796\pi\)
\(80\) 43411.0 + 54435.7i 0.758360 + 0.950953i
\(81\) −57141.5 27517.9i −0.967696 0.466018i
\(82\) 55809.4 26876.4i 0.916585 0.441404i
\(83\) −47476.0 + 59533.0i −0.756448 + 0.948556i −0.999771 0.0213895i \(-0.993191\pi\)
0.243323 + 0.969945i \(0.421762\pi\)
\(84\) 254389. + 318994.i 3.93369 + 4.93269i
\(85\) −46616.1 + 22449.1i −0.699823 + 0.337017i
\(86\) 8638.89 0.125954
\(87\) 36467.0 117238.i 0.516537 1.66063i
\(88\) −56496.1 −0.777699
\(89\) 6270.12 3019.53i 0.0839075 0.0404077i −0.391459 0.920195i \(-0.628030\pi\)
0.475367 + 0.879788i \(0.342315\pi\)
\(90\) 102953. + 129099.i 1.33978 + 1.68003i
\(91\) 29764.2 37323.1i 0.376782 0.472470i
\(92\) −241653. + 116374.i −2.97661 + 1.43346i
\(93\) −63065.7 30370.9i −0.756112 0.364124i
\(94\) −186780. 234214.i −2.18027 2.73397i
\(95\) −5282.59 + 23144.5i −0.0600534 + 0.263111i
\(96\) 48619.6 213016.i 0.538435 2.35904i
\(97\) 9628.21 12073.4i 0.103900 0.130287i −0.727163 0.686465i \(-0.759161\pi\)
0.831063 + 0.556178i \(0.187733\pi\)
\(98\) −55152.9 241641.i −0.580100 2.54159i
\(99\) −63394.6 −0.650076
\(100\) 34259.8 + 150102.i 0.342598 + 1.50102i
\(101\) −56639.1 27276.0i −0.552476 0.266058i 0.136749 0.990606i \(-0.456335\pi\)
−0.689225 + 0.724547i \(0.742049\pi\)
\(102\) 400930. + 193078.i 3.81564 + 1.83752i
\(103\) 39014.6 + 170934.i 0.362355 + 1.58758i 0.747199 + 0.664600i \(0.231398\pi\)
−0.384844 + 0.922982i \(0.625745\pi\)
\(104\) −103582. −0.939076
\(105\) −39646.9 173705.i −0.350943 1.53758i
\(106\) 76823.9 96334.2i 0.664097 0.832752i
\(107\) 13990.9 61298.1i 0.118137 0.517592i −0.880883 0.473334i \(-0.843050\pi\)
0.999020 0.0442581i \(-0.0140924\pi\)
\(108\) 111863. 490102.i 0.922839 4.04322i
\(109\) −39021.4 48931.3i −0.314584 0.394476i 0.599251 0.800561i \(-0.295465\pi\)
−0.913835 + 0.406085i \(0.866894\pi\)
\(110\) 38969.8 + 18766.9i 0.307077 + 0.147880i
\(111\) −101069. + 48672.2i −0.778592 + 0.374950i
\(112\) −269666. + 338150.i −2.03133 + 2.54721i
\(113\) 49241.6 + 61747.0i 0.362774 + 0.454904i 0.929402 0.369070i \(-0.120324\pi\)
−0.566628 + 0.823974i \(0.691752\pi\)
\(114\) 183958. 88589.3i 1.32573 0.638439i
\(115\) 117126. 0.825861
\(116\) 336336. + 26004.6i 2.32075 + 0.179434i
\(117\) −116230. −0.784971
\(118\) 217118. 104558.i 1.43546 0.691279i
\(119\) −200392. 251284.i −1.29722 1.62666i
\(120\) −241039. + 302254.i −1.52804 + 1.91610i
\(121\) 130141. 62672.4i 0.808070 0.389146i
\(122\) −69944.6 33683.5i −0.425456 0.204889i
\(123\) 101464. + 127231.i 0.604711 + 0.758283i
\(124\) 42795.5 187499.i 0.249945 1.09508i
\(125\) 37579.2 164645.i 0.215116 0.942485i
\(126\) −639534. + 801950.i −3.58870 + 4.50009i
\(127\) 60052.6 + 263108.i 0.330387 + 1.44752i 0.818383 + 0.574673i \(0.194871\pi\)
−0.487997 + 0.872845i \(0.662272\pi\)
\(128\) −106523. −0.574672
\(129\) 5050.24 + 22126.6i 0.0267201 + 0.117068i
\(130\) 71448.7 + 34407.9i 0.370797 + 0.178566i
\(131\) −67894.4 32696.2i −0.345665 0.166464i 0.252993 0.967468i \(-0.418585\pi\)
−0.598658 + 0.801004i \(0.704299\pi\)
\(132\) −57903.3 253691.i −0.289247 1.26727i
\(133\) −147469. −0.722890
\(134\) 43577.7 + 190927.i 0.209654 + 0.918553i
\(135\) −136872. + 171632.i −0.646367 + 0.810518i
\(136\) −155182. + 679898.i −0.719440 + 3.15207i
\(137\) −41073.2 + 179953.i −0.186964 + 0.819141i 0.791242 + 0.611503i \(0.209435\pi\)
−0.978206 + 0.207638i \(0.933422\pi\)
\(138\) −628078. 787584.i −2.80747 3.52046i
\(139\) 339287. + 163392.i 1.48946 + 0.717288i 0.988924 0.148426i \(-0.0474206\pi\)
0.500540 + 0.865713i \(0.333135\pi\)
\(140\) 441054. 212400.i 1.90183 0.915873i
\(141\) 490697. 615314.i 2.07857 2.60645i
\(142\) −113164. 141903.i −0.470965 0.590571i
\(143\) −27430.8 + 13210.0i −0.112175 + 0.0540208i
\(144\) 1.05305e6 4.23198
\(145\) −127401. 73957.2i −0.503215 0.292119i
\(146\) 86613.9 0.336284
\(147\) 586666. 282523.i 2.23922 1.07835i
\(148\) −192168. 240971.i −0.721151 0.904295i
\(149\) −171331. + 214842.i −0.632223 + 0.792782i −0.990006 0.141022i \(-0.954961\pi\)
0.357784 + 0.933804i \(0.383532\pi\)
\(150\) −520985. + 250893.i −1.89059 + 0.910460i
\(151\) −264078. 127173.i −0.942519 0.453893i −0.101462 0.994839i \(-0.532352\pi\)
−0.841057 + 0.540946i \(0.818066\pi\)
\(152\) 199503. + 250169.i 0.700392 + 0.878264i
\(153\) −174131. + 762918.i −0.601378 + 2.63481i
\(154\) −59788.1 + 261949.i −0.203148 + 0.890051i
\(155\) −52363.2 + 65661.4i −0.175064 + 0.219523i
\(156\) −106162. 465126.i −0.349267 1.53024i
\(157\) 198407. 0.642404 0.321202 0.947011i \(-0.395913\pi\)
0.321202 + 0.947011i \(0.395913\pi\)
\(158\) −88272.5 386747.i −0.281308 1.23249i
\(159\) 291649. + 140451.i 0.914887 + 0.440587i
\(160\) −236191. 113744.i −0.729396 0.351259i
\(161\) 161900. + 709332.i 0.492247 + 2.15668i
\(162\) 654466. 1.95929
\(163\) −80227.2 351499.i −0.236512 1.03623i −0.944115 0.329616i \(-0.893081\pi\)
0.707603 0.706610i \(-0.249776\pi\)
\(164\) −278775. + 349573.i −0.809364 + 1.01491i
\(165\) −25285.6 + 110783.i −0.0723041 + 0.316785i
\(166\) 174848. 766060.i 0.492483 2.15771i
\(167\) −20803.4 26086.6i −0.0577221 0.0723812i 0.752132 0.659012i \(-0.229025\pi\)
−0.809854 + 0.586631i \(0.800454\pi\)
\(168\) −2.16368e6 1.04198e6i −5.91453 2.84829i
\(169\) 284231. 136878.i 0.765516 0.368653i
\(170\) 332890. 417431.i 0.883443 1.10780i
\(171\) 223864. + 280717.i 0.585456 + 0.734138i
\(172\) −56181.7 + 27055.7i −0.144802 + 0.0697328i
\(173\) −710495. −1.80487 −0.902435 0.430826i \(-0.858222\pi\)
−0.902435 + 0.430826i \(0.858222\pi\)
\(174\) 185871. + 1.25327e6i 0.465414 + 3.13814i
\(175\) 417646. 1.03089
\(176\) 248525. 119683.i 0.604767 0.291240i
\(177\) 394728. + 494973.i 0.947033 + 1.18754i
\(178\) −44775.6 + 56146.8i −0.105923 + 0.132823i
\(179\) 214643. 103366.i 0.500707 0.241128i −0.166443 0.986051i \(-0.553228\pi\)
0.667150 + 0.744923i \(0.267514\pi\)
\(180\) −1.07385e6 517141.i −2.47038 1.18967i
\(181\) −521999. 654566.i −1.18433 1.48511i −0.836862 0.547414i \(-0.815612\pi\)
−0.347470 0.937691i \(-0.612959\pi\)
\(182\) −109618. + 480267.i −0.245303 + 1.07474i
\(183\) 45383.6 198839.i 0.100178 0.438907i
\(184\) 984297. 1.23427e6i 2.14329 2.68760i
\(185\) 29949.7 + 131218.i 0.0643373 + 0.281880i
\(186\) 722319. 1.53090
\(187\) 45612.7 + 199842.i 0.0953854 + 0.417911i
\(188\) 1.94822e6 + 938211.i 4.02015 + 1.93600i
\(189\) −1.22862e6 591674.i −2.50187 1.20484i
\(190\) −54512.0 238833.i −0.109549 0.479965i
\(191\) 153876. 0.305202 0.152601 0.988288i \(-0.451235\pi\)
0.152601 + 0.988288i \(0.451235\pi\)
\(192\) 88497.4 + 387732.i 0.173252 + 0.759065i
\(193\) −566637. + 710540.i −1.09499 + 1.37308i −0.173432 + 0.984846i \(0.555486\pi\)
−0.921562 + 0.388232i \(0.873086\pi\)
\(194\) −35459.5 + 155358.i −0.0676438 + 0.296367i
\(195\) −46359.5 + 203114.i −0.0873077 + 0.382520i
\(196\) 1.11546e6 + 1.39874e6i 2.07402 + 2.60074i
\(197\) −393780. 189635.i −0.722917 0.348138i 0.0359771 0.999353i \(-0.488546\pi\)
−0.758894 + 0.651214i \(0.774260\pi\)
\(198\) 589397. 283838.i 1.06843 0.514527i
\(199\) −261474. + 327879.i −0.468055 + 0.586922i −0.958694 0.284441i \(-0.908192\pi\)
0.490639 + 0.871363i \(0.336763\pi\)
\(200\) −565012. 708503.i −0.998810 1.25247i
\(201\) −463540. + 223229.i −0.809277 + 0.389727i
\(202\) 648712. 1.11860
\(203\) 271793. 873793.i 0.462912 1.48822i
\(204\) −3.21207e6 −5.40393
\(205\) 175915. 84716.4i 0.292361 0.140794i
\(206\) −1.12806e6 1.41454e6i −1.85210 2.32245i
\(207\) 1.10449e6 1.38498e6i 1.79157 2.24656i
\(208\) 455654. 219432.i 0.730259 0.351674i
\(209\) 84737.2 + 40807.3i 0.134186 + 0.0646208i
\(210\) 1.14634e6 + 1.43747e6i 1.79376 + 2.24931i
\(211\) 94087.4 412224.i 0.145487 0.637422i −0.848618 0.529006i \(-0.822565\pi\)
0.994106 0.108416i \(-0.0345779\pi\)
\(212\) −197909. + 867095.i −0.302430 + 1.32503i
\(213\) 297298. 372801.i 0.448997 0.563025i
\(214\) 144375. + 632546.i 0.215504 + 0.944187i
\(215\) 27230.4 0.0401752
\(216\) 658416. + 2.88471e6i 0.960209 + 4.20695i
\(217\) −470037. 226358.i −0.677614 0.326322i
\(218\) 581874. + 280216.i 0.829254 + 0.399348i
\(219\) 50634.0 + 221842.i 0.0713398 + 0.312560i
\(220\) −312209. −0.434899
\(221\) 83628.0 + 366398.i 0.115178 + 0.504630i
\(222\) 721743. 905037.i 0.982879 1.23249i
\(223\) −52819.0 + 231415.i −0.0711259 + 0.311623i −0.997960 0.0638492i \(-0.979662\pi\)
0.926834 + 0.375472i \(0.122519\pi\)
\(224\) 362368. 1.58764e6i 0.482536 2.11413i
\(225\) −634004. 795016.i −0.834902 1.04693i
\(226\) −734273. 353607.i −0.956284 0.460522i
\(227\) −904152. + 435416.i −1.16460 + 0.560842i −0.913388 0.407091i \(-0.866543\pi\)
−0.251212 + 0.967932i \(0.580829\pi\)
\(228\) −918892. + 1.15225e6i −1.17065 + 1.46795i
\(229\) 517590. + 649037.i 0.652224 + 0.817863i 0.992472 0.122473i \(-0.0390824\pi\)
−0.340248 + 0.940336i \(0.610511\pi\)
\(230\) −1.08895e6 + 524409.i −1.35734 + 0.653658i
\(231\) −705875. −0.870357
\(232\) −1.85001e6 + 721034.i −2.25660 + 0.879500i
\(233\) 1.57999e6 1.90663 0.953313 0.301983i \(-0.0976485\pi\)
0.953313 + 0.301983i \(0.0976485\pi\)
\(234\) 1.08062e6 520400.i 1.29013 0.621294i
\(235\) −588744. 738262.i −0.695435 0.872048i
\(236\) −1.08453e6 + 1.35996e6i −1.26754 + 1.58944i
\(237\) 938962. 452180.i 1.08587 0.522926i
\(238\) 2.98818e6 + 1.43903e6i 3.41951 + 1.64675i
\(239\) −837254. 1.04988e6i −0.948118 1.18890i −0.981886 0.189473i \(-0.939322\pi\)
0.0337679 0.999430i \(-0.489249\pi\)
\(240\) 420021. 1.84023e6i 0.470698 2.06226i
\(241\) −271173. + 1.18809e6i −0.300748 + 1.31767i 0.568252 + 0.822854i \(0.307620\pi\)
−0.869001 + 0.494811i \(0.835237\pi\)
\(242\) −929347. + 1.16536e6i −1.02009 + 1.27915i
\(243\) 17659.1 + 77369.5i 0.0191846 + 0.0840531i
\(244\) 560365. 0.602555
\(245\) −173846. 761670.i −0.185033 0.810684i
\(246\) −1.51299e6 728618.i −1.59404 0.767648i
\(247\) 155360. + 74817.6i 0.162031 + 0.0780300i
\(248\) 251891. + 1.10361e6i 0.260066 + 1.13942i
\(249\) 2.06431e6 2.10997
\(250\) 387787. + 1.69901e6i 0.392413 + 1.71927i
\(251\) 387268. 485619.i 0.387996 0.486532i −0.549024 0.835806i \(-0.685001\pi\)
0.937020 + 0.349275i \(0.113572\pi\)
\(252\) 1.64753e6 7.21828e6i 1.63430 7.16032i
\(253\) 103255. 452390.i 0.101417 0.444336i
\(254\) −1.73634e6 2.17731e6i −1.68870 2.11756i
\(255\) 1.26376e6 + 608595.i 1.21707 + 0.586108i
\(256\) 1.41333e6 680623.i 1.34785 0.649093i
\(257\) −417779. + 523878.i −0.394560 + 0.494763i −0.938942 0.344074i \(-0.888193\pi\)
0.544382 + 0.838837i \(0.316764\pi\)
\(258\) −146021. 183105.i −0.136574 0.171258i
\(259\) −753280. + 362760.i −0.697761 + 0.336024i
\(260\) −572416. −0.525144
\(261\) −2.07591e6 + 809077.i −1.88629 + 0.735171i
\(262\) 777624. 0.699869
\(263\) −1.18597e6 + 571133.i −1.05727 + 0.509152i −0.879982 0.475008i \(-0.842445\pi\)
−0.177284 + 0.984160i \(0.556731\pi\)
\(264\) 954941. + 1.19746e6i 0.843270 + 1.05743i
\(265\) 242155. 303653.i 0.211826 0.265621i
\(266\) 1.37106e6 660268.i 1.18810 0.572158i
\(267\) −169983. 81859.4i −0.145924 0.0702733i
\(268\) −881353. 1.10518e6i −0.749572 0.939933i
\(269\) 85064.5 372692.i 0.0716750 0.314029i −0.926364 0.376630i \(-0.877083\pi\)
0.998039 + 0.0626018i \(0.0199398\pi\)
\(270\) 504081. 2.20852e6i 0.420815 1.84371i
\(271\) −1.11508e6 + 1.39826e6i −0.922321 + 1.15655i 0.0650109 + 0.997885i \(0.479292\pi\)
−0.987332 + 0.158669i \(0.949280\pi\)
\(272\) −757676. 3.31960e6i −0.620957 2.72059i
\(273\) −1.29418e6 −1.05096
\(274\) −423842. 1.85697e6i −0.341057 1.49427i
\(275\) −239984. 115570.i −0.191360 0.0921539i
\(276\) 6.55120e6 + 3.15489e6i 5.17664 + 2.49294i
\(277\) −189541. 830433.i −0.148424 0.650287i −0.993323 0.115362i \(-0.963197\pi\)
0.844900 0.534925i \(-0.179660\pi\)
\(278\) −3.88600e6 −3.01572
\(279\) 282649. + 1.23836e6i 0.217388 + 0.952441i
\(280\) −1.79650e6 + 2.25274e6i −1.36940 + 1.71718i
\(281\) 4852.22 21259.0i 0.00366585 0.0160611i −0.973062 0.230544i \(-0.925949\pi\)
0.976728 + 0.214483i \(0.0688066\pi\)
\(282\) −1.80718e6 + 7.91775e6i −1.35325 + 5.92897i
\(283\) 318688. + 399622.i 0.236537 + 0.296609i 0.885906 0.463866i \(-0.153538\pi\)
−0.649368 + 0.760474i \(0.724967\pi\)
\(284\) 1.18037e6 + 568434.i 0.868402 + 0.418200i
\(285\) 579848. 279240.i 0.422866 0.203641i
\(286\) 195886. 245633.i 0.141608 0.177571i
\(287\) 756221. + 948272.i 0.541931 + 0.679560i
\(288\) −3.57226e6 + 1.72031e6i −2.53782 + 1.22215i
\(289\) 1.11042e6 0.782063
\(290\) 1.51561e6 + 117183.i 1.05826 + 0.0818220i
\(291\) −418644. −0.289809
\(292\) −563280. + 271261.i −0.386605 + 0.186179i
\(293\) 1.08357e6 + 1.35875e6i 0.737372 + 0.924635i 0.999180 0.0404850i \(-0.0128903\pi\)
−0.261808 + 0.965120i \(0.584319\pi\)
\(294\) −4.18944e6 + 5.25339e6i −2.82675 + 3.54463i
\(295\) 684371. 329576.i 0.457864 0.220496i
\(296\) 1.63447e6 + 787117.i 1.08429 + 0.522168i
\(297\) 542253. + 679964.i 0.356707 + 0.447296i
\(298\) 630990. 2.76455e6i 0.411606 1.80337i
\(299\) 189312. 829429.i 0.122461 0.536539i
\(300\) 2.60239e6 3.26329e6i 1.66943 2.09340i
\(301\) 37640.1 + 164912.i 0.0239461 + 0.104915i
\(302\) 3.02460e6 1.90832
\(303\) 379233. + 1.66153e6i 0.237301 + 1.03968i
\(304\) −1.40758e6 677853.i −0.873551 0.420680i
\(305\) −220471. 106173.i −0.135707 0.0653529i
\(306\) −1.79689e6 7.87269e6i −1.09703 4.80640i
\(307\) −1.39306e6 −0.843575 −0.421787 0.906695i \(-0.638597\pi\)
−0.421787 + 0.906695i \(0.638597\pi\)
\(308\) −431561. 1.89079e6i −0.259218 1.13571i
\(309\) 2.96357e6 3.71620e6i 1.76571 2.21413i
\(310\) 192847. 844918.i 0.113975 0.499356i
\(311\) 72433.0 317349.i 0.0424654 0.186053i −0.949247 0.314532i \(-0.898152\pi\)
0.991712 + 0.128479i \(0.0410095\pi\)
\(312\) 1.75082e6 + 2.19546e6i 1.01825 + 1.27685i
\(313\) 1.51721e6 + 730648.i 0.875355 + 0.421549i 0.816926 0.576743i \(-0.195677\pi\)
0.0584289 + 0.998292i \(0.481391\pi\)
\(314\) −1.84464e6 + 888334.i −1.05582 + 0.508454i
\(315\) −2.01586e6 + 2.52781e6i −1.14468 + 1.43538i
\(316\) 1.78530e6 + 2.23869e6i 1.00576 + 1.26118i
\(317\) 93213.2 44889.1i 0.0520990 0.0250896i −0.407653 0.913137i \(-0.633653\pi\)
0.459752 + 0.888047i \(0.347938\pi\)
\(318\) −3.34038e6 −1.85237
\(319\) −397969. + 426880.i −0.218964 + 0.234871i
\(320\) 477170. 0.260494
\(321\) −1.53572e6 + 739566.i −0.831861 + 0.400603i
\(322\) −4.68114e6 5.86997e6i −2.51601 3.15498i
\(323\) 723847. 907675.i 0.386047 0.484088i
\(324\) −4.25622e6 + 2.04969e6i −2.25248 + 1.08474i
\(325\) −439995. 211891.i −0.231068 0.111276i
\(326\) 2.31967e6 + 2.90877e6i 1.20888 + 1.51588i
\(327\) −377549. + 1.65415e6i −0.195256 + 0.855472i
\(328\) 585612. 2.56574e6i 0.300556 1.31682i
\(329\) 3.65723e6 4.58602e6i 1.86278 2.33586i
\(330\) −260927. 1.14319e6i −0.131897 0.577877i
\(331\) −3.11267e6 −1.56158 −0.780788 0.624796i \(-0.785182\pi\)
−0.780788 + 0.624796i \(0.785182\pi\)
\(332\) 1.26208e6 + 5.52955e6i 0.628410 + 2.75324i
\(333\) 1.83404e6 + 883229.i 0.906357 + 0.436479i
\(334\) 310213. + 149390.i 0.152157 + 0.0732752i
\(335\) 137360. + 601815.i 0.0668728 + 0.292989i
\(336\) 1.17253e7 5.66601
\(337\) −520798. 2.28177e6i −0.249801 1.09445i −0.931764 0.363064i \(-0.881731\pi\)
0.681963 0.731387i \(-0.261127\pi\)
\(338\) −2.02972e6 + 2.54519e6i −0.966372 + 1.21179i
\(339\) 476434. 2.08739e6i 0.225166 0.986518i
\(340\) −857569. + 3.75726e6i −0.402320 + 1.76268i
\(341\) 207451. + 260135.i 0.0966115 + 0.121147i
\(342\) −3.33818e6 1.60758e6i −1.54328 0.743205i
\(343\) 1.31288e6 632248.i 0.602543 0.290170i
\(344\) 228839. 286954.i 0.104264 0.130743i
\(345\) −1.97975e6 2.48253e6i −0.895493 1.12291i
\(346\) 6.60566e6 3.18112e6i 2.96638 1.42853i
\(347\) 4.31962e6 1.92585 0.962923 0.269776i \(-0.0869495\pi\)
0.962923 + 0.269776i \(0.0869495\pi\)
\(348\) −5.13384e6 7.56833e6i −2.27245 3.35006i
\(349\) −870041. −0.382363 −0.191182 0.981555i \(-0.561232\pi\)
−0.191182 + 0.981555i \(0.561232\pi\)
\(350\) −3.88297e6 + 1.86994e6i −1.69431 + 0.815939i
\(351\) 994187. + 1.24667e6i 0.430725 + 0.540112i
\(352\) −647548. + 811999.i −0.278558 + 0.349300i
\(353\) −276340. + 133078.i −0.118034 + 0.0568422i −0.491969 0.870613i \(-0.663723\pi\)
0.373935 + 0.927455i \(0.378008\pi\)
\(354\) −5.88605e6 2.83457e6i −2.49641 1.20221i
\(355\) −356702. 447290.i −0.150222 0.188373i
\(356\) 115348. 505372.i 0.0482375 0.211342i
\(357\) −1.93888e6 + 8.49480e6i −0.805157 + 3.52763i
\(358\) −1.53278e6 + 1.92205e6i −0.632082 + 0.792606i
\(359\) −1.01816e6 4.46085e6i −0.416946 1.82676i −0.549384 0.835570i \(-0.685138\pi\)
0.132437 0.991191i \(-0.457720\pi\)
\(360\) 7.01537e6 2.85295
\(361\) 432451. + 1.89469e6i 0.174650 + 0.765193i
\(362\) 7.78387e6 + 3.74852e6i 3.12194 + 1.50345i
\(363\) −3.52811e6 1.69905e6i −1.40532 0.676766i
\(364\) −791239. 3.46665e6i −0.313007 1.37137i
\(365\) 273014. 0.107264
\(366\) 468322. + 2.05185e6i 0.182743 + 0.800651i
\(367\) −1.55495e6 + 1.94985e6i −0.602631 + 0.755675i −0.985785 0.168009i \(-0.946266\pi\)
0.383155 + 0.923684i \(0.374838\pi\)
\(368\) −1.71518e6 + 7.51468e6i −0.660221 + 2.89262i
\(369\) 657119. 2.87903e6i 0.251234 1.10073i
\(370\) −865956. 1.08587e6i −0.328845 0.412359i
\(371\) 2.17370e6 + 1.04680e6i 0.819906 + 0.394846i
\(372\) −4.69749e6 + 2.26219e6i −1.75998 + 0.847563i
\(373\) −736963. + 924122.i −0.274267 + 0.343920i −0.899820 0.436262i \(-0.856302\pi\)
0.625553 + 0.780182i \(0.284873\pi\)
\(374\) −1.31883e6 1.65376e6i −0.487540 0.611356i
\(375\) −4.12492e6 + 1.98646e6i −1.51474 + 0.729460i
\(376\) −1.27275e7 −4.64272
\(377\) −729651. + 782658.i −0.264400 + 0.283608i
\(378\) 1.40720e7 5.06554
\(379\) 1.62616e6 783120.i 0.581522 0.280046i −0.119907 0.992785i \(-0.538260\pi\)
0.701430 + 0.712739i \(0.252545\pi\)
\(380\) 1.10250e6 + 1.38249e6i 0.391668 + 0.491136i
\(381\) 4.56162e6 5.72009e6i 1.60993 2.01879i
\(382\) −1.43062e6 + 688952.i −0.501611 + 0.241563i
\(383\) −1.54296e6 743049.i −0.537473 0.258834i 0.145397 0.989373i \(-0.453554\pi\)
−0.682870 + 0.730540i \(0.739268\pi\)
\(384\) 1.80054e6 + 2.25781e6i 0.623125 + 0.781375i
\(385\) −188457. + 825683.i −0.0647977 + 0.283897i
\(386\) 2.08685e6 9.14310e6i 0.712892 3.12338i
\(387\) 256781. 321993.i 0.0871537 0.109287i
\(388\) −255952. 1.12140e6i −0.0863137 0.378165i
\(389\) 3.24817e6 1.08834 0.544170 0.838975i \(-0.316845\pi\)
0.544170 + 0.838975i \(0.316845\pi\)
\(390\) −478393. 2.09597e6i −0.159266 0.697790i
\(391\) −5.16063e6 2.48523e6i −1.70711 0.822100i
\(392\) −9.48744e6 4.56891e6i −3.11842 1.50175i
\(393\) 454595. + 1.99171e6i 0.148471 + 0.650496i
\(394\) 4.51014e6 1.46369
\(395\) −278242. 1.21906e6i −0.0897283 0.393125i
\(396\) −2.94411e6 + 3.69180e6i −0.943444 + 1.18304i
\(397\) −1.20223e6 + 5.26733e6i −0.382836 + 1.67731i 0.305715 + 0.952123i \(0.401105\pi\)
−0.688550 + 0.725189i \(0.741752\pi\)
\(398\) 962978. 4.21908e6i 0.304725 1.33509i
\(399\) 2.49264e6 + 3.12567e6i 0.783840 + 0.982904i
\(400\) 3.98639e6 + 1.91974e6i 1.24575 + 0.599920i
\(401\) −1.65804e6 + 798469.i −0.514913 + 0.247969i −0.673248 0.739416i \(-0.735101\pi\)
0.158336 + 0.987385i \(0.449387\pi\)
\(402\) 3.31018e6 4.15084e6i 1.02161 1.28106i
\(403\) 380348. + 476941.i 0.116659 + 0.146286i
\(404\) −4.21880e6 + 2.03167e6i −1.28598 + 0.619297i
\(405\) 2.06293e6 0.624951
\(406\) 1.38532e6 + 9.34079e6i 0.417096 + 2.81234i
\(407\) 533224. 0.159560
\(408\) 1.70337e7 8.20302e6i 5.06593 2.43963i
\(409\) 781766. + 980304.i 0.231083 + 0.289769i 0.883831 0.467806i \(-0.154955\pi\)
−0.652748 + 0.757575i \(0.726384\pi\)
\(410\) −1.25623e6 + 1.57526e6i −0.369070 + 0.462800i
\(411\) 4.50844e6 2.17115e6i 1.31650 0.633995i
\(412\) 1.17663e7 + 5.66634e6i 3.41504 + 1.64460i
\(413\) 2.94196e6 + 3.68910e6i 0.848714 + 1.06425i
\(414\) −4.06768e6 + 1.78217e7i −1.16640 + 5.11032i
\(415\) 551135. 2.41468e6i 0.157086 0.688239i
\(416\) −1.18724e6 + 1.48875e6i −0.336360 + 0.421782i
\(417\) −2.27173e6 9.95310e6i −0.639760 2.80297i
\(418\) −970532. −0.271687
\(419\) 722527. + 3.16560e6i 0.201057 + 0.880888i 0.970295 + 0.241925i \(0.0777789\pi\)
−0.769238 + 0.638962i \(0.779364\pi\)
\(420\) −1.19570e7 5.75817e6i −3.30748 1.59280i
\(421\) −3.29124e6 1.58498e6i −0.905011 0.435830i −0.0773150 0.997007i \(-0.524635\pi\)
−0.827696 + 0.561176i \(0.810349\pi\)
\(422\) 970906. + 4.25382e6i 0.265397 + 1.16278i
\(423\) −1.42816e7 −3.88084
\(424\) −1.16488e6 5.10366e6i −0.314677 1.37869i
\(425\) −2.05000e6 + 2.57062e6i −0.550531 + 0.690345i
\(426\) −1.09491e6 + 4.79713e6i −0.292318 + 1.28073i
\(427\) 338250. 1.48197e6i 0.0897775 0.393341i
\(428\) −2.91995e6 3.66151e6i −0.770489 0.966163i
\(429\) 743647. + 358121.i 0.195085 + 0.0939479i
\(430\) −253169. + 121920.i −0.0660296 + 0.0317982i
\(431\) −1.13978e6 + 1.42924e6i −0.295548 + 0.370606i −0.907329 0.420422i \(-0.861882\pi\)
0.611780 + 0.791028i \(0.290454\pi\)
\(432\) −9.00741e6 1.12949e7i −2.32215 2.91189i
\(433\) 4.53612e6 2.18448e6i 1.16269 0.559923i 0.249870 0.968279i \(-0.419612\pi\)
0.912823 + 0.408356i \(0.133898\pi\)
\(434\) 5.38354e6 1.37197
\(435\) 585880. + 3.95041e6i 0.148452 + 1.00096i
\(436\) −4.66172e6 −1.17444
\(437\) −2.36784e6 + 1.14029e6i −0.593129 + 0.285636i
\(438\) −1.46402e6 1.83582e6i −0.364637 0.457240i
\(439\) −2.65297e6 + 3.32672e6i −0.657009 + 0.823863i −0.993014 0.117997i \(-0.962353\pi\)
0.336005 + 0.941860i \(0.390924\pi\)
\(440\) 1.65566e6 797322.i 0.407698 0.196337i
\(441\) −1.06459e7 5.12680e6i −2.60667 1.25531i
\(442\) −2.41800e6 3.03207e6i −0.588708 0.738217i
\(443\) 780606. 3.42006e6i 0.188983 0.827988i −0.788171 0.615456i \(-0.788972\pi\)
0.977154 0.212532i \(-0.0681710\pi\)
\(444\) −1.85931e6 + 8.14616e6i −0.447604 + 1.96108i
\(445\) −141136. + 176979.i −0.0337861 + 0.0423664i
\(446\) −545049. 2.38802e6i −0.129747 0.568460i
\(447\) 7.44964e6 1.76346
\(448\) 659582. + 2.88982e6i 0.155265 + 0.680261i
\(449\) 4.28466e6 + 2.06338e6i 1.00300 + 0.483019i 0.861955 0.506985i \(-0.169240\pi\)
0.141044 + 0.990003i \(0.454954\pi\)
\(450\) 9.45405e6 + 4.55283e6i 2.20083 + 1.05986i
\(451\) −172129. 754146.i −0.0398486 0.174588i
\(452\) 5.88268e6 1.35434
\(453\) 1.76816e6 + 7.74683e6i 0.404834 + 1.77369i
\(454\) 6.45664e6 8.09637e6i 1.47017 1.84353i
\(455\) −345523. + 1.51384e6i −0.0782436 + 0.342808i
\(456\) 1.93028e6 8.45712e6i 0.434719 1.90463i
\(457\) 62256.7 + 78067.5i 0.0139443 + 0.0174856i 0.788755 0.614708i \(-0.210726\pi\)
−0.774810 + 0.632194i \(0.782155\pi\)
\(458\) −7.71812e6 3.71685e6i −1.71928 0.827964i
\(459\) 9.67243e6 4.65800e6i 2.14291 1.03197i
\(460\) 5.43943e6 6.82083e6i 1.19856 1.50294i
\(461\) 582644. + 730613.i 0.127688 + 0.160116i 0.841566 0.540154i \(-0.181634\pi\)
−0.713878 + 0.700271i \(0.753063\pi\)
\(462\) 6.56270e6 3.16043e6i 1.43047 0.688877i
\(463\) 2.38493e6 0.517038 0.258519 0.966006i \(-0.416766\pi\)
0.258519 + 0.966006i \(0.416766\pi\)
\(464\) 6.61069e6 7.09094e6i 1.42545 1.52900i
\(465\) 2.27680e6 0.488307
\(466\) −1.46896e7 + 7.07415e6i −3.13362 + 1.50907i
\(467\) 3.34904e6 + 4.19956e6i 0.710604 + 0.891069i 0.997766 0.0668130i \(-0.0212831\pi\)
−0.287162 + 0.957882i \(0.592712\pi\)
\(468\) −5.39784e6 + 6.76868e6i −1.13921 + 1.42853i
\(469\) −3.45482e6 + 1.66375e6i −0.725260 + 0.349267i
\(470\) 8.77915e6 + 4.22781e6i 1.83319 + 0.882818i
\(471\) −3.35363e6 4.20532e6i −0.696568 0.873469i
\(472\) 2.27823e6 9.98159e6i 0.470699 2.06227i
\(473\) 24005.7 105176.i 0.00493357 0.0216154i
\(474\) −6.70522e6 + 8.40808e6i −1.37078 + 1.71890i
\(475\) 335696. + 1.47078e6i 0.0682671 + 0.299098i
\(476\) −2.39400e7 −4.84291
\(477\) −1.30712e6 5.72685e6i −0.263038 1.15244i
\(478\) 1.24848e7 + 6.01238e6i 2.49927 + 1.20359i
\(479\) −4.66906e6 2.24850e6i −0.929803 0.447770i −0.0932423 0.995643i \(-0.529723\pi\)
−0.836561 + 0.547874i \(0.815437\pi\)
\(480\) 1.58144e6 + 6.92876e6i 0.313293 + 1.37263i
\(481\) 977633. 0.192670
\(482\) −2.79828e6 1.22601e7i −0.548623 2.40367i
\(483\) 1.22980e7 1.54212e7i 2.39865 3.00782i
\(484\) 2.39412e6 1.04893e7i 0.464550 2.03533i
\(485\) −111771. + 489701.i −0.0215762 + 0.0945314i
\(486\) −510589. 640259.i −0.0980576 0.122960i
\(487\) −1.08000e6 520102.i −0.206349 0.0993724i 0.327855 0.944728i \(-0.393674\pi\)
−0.534204 + 0.845356i \(0.679389\pi\)
\(488\) −2.97164e6 + 1.43107e6i −0.564867 + 0.272026i
\(489\) −6.09410e6 + 7.64176e6i −1.15249 + 1.44518i
\(490\) 5.02654e6 + 6.30308e6i 0.945755 + 1.18594i
\(491\) −1.10605e6 + 532647.i −0.207048 + 0.0997093i −0.534534 0.845147i \(-0.679513\pi\)
0.327486 + 0.944856i \(0.393799\pi\)
\(492\) 1.21214e7 2.25757
\(493\) 4.04412e6 + 5.96187e6i 0.749389 + 1.10475i
\(494\) −1.77941e6 −0.328064
\(495\) 1.85782e6 894680.i 0.340793 0.164117i
\(496\) −3.44598e6 4.32112e6i −0.628939 0.788665i
\(497\) 2.21580e6 2.77853e6i 0.402384 0.504573i
\(498\) −1.91924e7 + 9.24257e6i −3.46781 + 1.67001i
\(499\) −6.66230e6 3.20839e6i −1.19777 0.576815i −0.274729 0.961522i \(-0.588588\pi\)
−0.923039 + 0.384707i \(0.874302\pi\)
\(500\) −7.84294e6 9.83473e6i −1.40299 1.75929i
\(501\) −201282. + 881872.i −0.0358269 + 0.156968i
\(502\) −1.42626e6 + 6.24886e6i −0.252604 + 1.10673i
\(503\) 674618. 845944.i 0.118888 0.149081i −0.718826 0.695190i \(-0.755320\pi\)
0.837714 + 0.546109i \(0.183892\pi\)
\(504\) 9.69722e6 + 4.24863e7i 1.70048 + 7.45028i
\(505\) 2.04479e6 0.356796
\(506\) 1.06551e6 + 4.66830e6i 0.185004 + 0.810554i
\(507\) −7.70549e6 3.71077e6i −1.33131 0.641127i
\(508\) 1.81110e7 + 8.72181e6i 3.11375 + 1.49950i
\(509\) −242832. 1.06392e6i −0.0415443 0.182017i 0.949899 0.312558i \(-0.101186\pi\)
−0.991443 + 0.130541i \(0.958329\pi\)
\(510\) −1.44744e7 −2.46419
\(511\) 377382. + 1.65342e6i 0.0639335 + 0.280111i
\(512\) −7.96739e6 + 9.99080e6i −1.34320 + 1.68432i
\(513\) 1.09609e6 4.80228e6i 0.183888 0.805665i
\(514\) 1.53863e6 6.74116e6i 0.256877 1.12545i
\(515\) −3.55572e6 4.45874e6i −0.590758 0.740788i
\(516\) 1.52308e6 + 733478.i 0.251825 + 0.121273i
\(517\) −3.37051e6 + 1.62315e6i −0.554587 + 0.267075i
\(518\) 5.37924e6 6.74536e6i 0.880840 1.10454i
\(519\) 1.20094e7 + 1.50593e7i 1.95705 + 2.45406i
\(520\) 3.03554e6 1.46184e6i 0.492298 0.237078i
\(521\) −9.78591e6 −1.57945 −0.789727 0.613459i \(-0.789778\pi\)
−0.789727 + 0.613459i \(0.789778\pi\)
\(522\) 1.56778e7 1.68167e7i 2.51831 2.70125i
\(523\) −1.03205e7 −1.64986 −0.824931 0.565234i \(-0.808786\pi\)
−0.824931 + 0.565234i \(0.808786\pi\)
\(524\) −5.05716e6 + 2.43540e6i −0.804597 + 0.387473i
\(525\) −7.05939e6 8.85219e6i −1.11781 1.40169i
\(526\) 8.46912e6 1.06199e7i 1.33467 1.67362i
\(527\) 3.70040e6 1.78202e6i 0.580392 0.279502i
\(528\) −6.73750e6 3.24461e6i −1.05175 0.506498i
\(529\) 4.07142e6 + 5.10539e6i 0.632567 + 0.793213i
\(530\) −891826. + 3.90734e6i −0.137908 + 0.604216i
\(531\) 2.55642e6 1.12004e7i 0.393455 1.72384i
\(532\) −6.84862e6 + 8.58789e6i −1.04912 + 1.31555i
\(533\) −315588. 1.38268e6i −0.0481174 0.210816i
\(534\) 1.94689e6 0.295452
\(535\) 455080. + 1.99383e6i 0.0687390 + 0.301165i
\(536\) 7.49627e6 + 3.61002e6i 1.12702 + 0.542747i
\(537\) −5.81896e6 2.80226e6i −0.870782 0.419347i
\(538\) 877797. + 3.84588e6i 0.130749 + 0.572849i
\(539\) −3.09516e6 −0.458893
\(540\) 3.63854e6 + 1.59415e7i 0.536961 + 2.35258i
\(541\) −352652. + 442212.i −0.0518028 + 0.0649586i −0.807058 0.590472i \(-0.798942\pi\)
0.755255 + 0.655431i \(0.227513\pi\)
\(542\) 4.10669e6 1.79926e7i 0.600474 2.63085i
\(543\) −5.05057e6 + 2.21280e7i −0.735091 + 3.22064i
\(544\) 7.99328e6 + 1.00233e7i 1.15805 + 1.45215i
\(545\) 1.83411e6 + 883261.i 0.264505 + 0.127379i
\(546\) 1.20323e7 5.79445e6i 1.72730 0.831823i
\(547\) −2.49948e6 + 3.13425e6i −0.357176 + 0.447884i −0.927661 0.373424i \(-0.878184\pi\)
0.570485 + 0.821308i \(0.306755\pi\)
\(548\) 8.57214e6 + 1.07491e7i 1.21938 + 1.52905i
\(549\) −3.33450e6 + 1.60581e6i −0.472171 + 0.227386i
\(550\) 2.74864e6 0.387446
\(551\) 3.29560e6 + 254807.i 0.462440 + 0.0357546i
\(552\) −4.27982e7 −5.97831
\(553\) 6.99820e6 3.37016e6i 0.973136 0.468638i
\(554\) 5.48033e6 + 6.87212e6i 0.758635 + 0.951298i
\(555\) 2.27499e6 2.85275e6i 0.313507 0.393125i
\(556\) 2.52720e7 1.21703e7i 3.46699 1.66961i
\(557\) 7.32042e6 + 3.52533e6i 0.999765 + 0.481461i 0.860859 0.508844i \(-0.169927\pi\)
0.138906 + 0.990306i \(0.455641\pi\)
\(558\) −8.17242e6 1.02479e7i −1.11113 1.39331i
\(559\) 44012.9 192833.i 0.00595732 0.0261007i
\(560\) 3.13047e6 1.37155e7i 0.421832 1.84817i
\(561\) 3.46476e6 4.34467e6i 0.464800 0.582841i
\(562\) 50071.0 + 219375.i 0.00668722 + 0.0292986i
\(563\) −7.04888e6 −0.937236 −0.468618 0.883401i \(-0.655248\pi\)
−0.468618 + 0.883401i \(0.655248\pi\)
\(564\) −1.30445e7 5.71517e7i −1.72675 7.56539i
\(565\) −2.31449e6 1.11460e6i −0.305024 0.146892i
\(566\) −4.75217e6 2.28852e6i −0.623521 0.300272i
\(567\) 2.85154e6 + 1.24934e7i 0.372497 + 1.63201i
\(568\) −7.71119e6 −1.00288
\(569\) −535140. 2.34460e6i −0.0692926 0.303591i 0.928392 0.371603i \(-0.121192\pi\)
−0.997685 + 0.0680118i \(0.978334\pi\)
\(570\) −4.14075e6 + 5.19234e6i −0.533817 + 0.669385i
\(571\) −2.78453e6 + 1.21998e7i −0.357406 + 1.56590i 0.402224 + 0.915541i \(0.368237\pi\)
−0.759630 + 0.650356i \(0.774620\pi\)
\(572\) −504628. + 2.21092e6i −0.0644883 + 0.282542i
\(573\) −2.60093e6 3.26146e6i −0.330935 0.414979i
\(574\) −1.12765e7 5.43048e6i −1.42855 0.687953i
\(575\) 6.70595e6 3.22942e6i 0.845845 0.407338i
\(576\) 4.49968e6 5.64242e6i 0.565100 0.708613i
\(577\) 4.85793e6 + 6.09165e6i 0.607452 + 0.761720i 0.986519 0.163649i \(-0.0523264\pi\)
−0.379067 + 0.925369i \(0.623755\pi\)
\(578\) −1.03239e7 + 4.97170e6i −1.28535 + 0.618993i
\(579\) 2.46379e7 3.05427
\(580\) −1.02236e7 + 3.98458e6i −1.26192 + 0.491828i
\(581\) 1.53855e7 1.89092
\(582\) 3.89225e6 1.87441e6i 0.476313 0.229380i
\(583\) −959361. 1.20300e6i −0.116899 0.146587i
\(584\) 2.29435e6 2.87702e6i 0.278373 0.349068i
\(585\) 3.40620e6 1.64034e6i 0.411510 0.198173i
\(586\) −1.61578e7 7.78117e6i −1.94374 0.936054i
\(587\) −702872. 881374.i −0.0841940 0.105576i 0.737950 0.674855i \(-0.235794\pi\)
−0.822144 + 0.569279i \(0.807222\pi\)
\(588\) 1.07926e7 4.72853e7i 1.28730 5.64005i
\(589\) 419333. 1.83722e6i 0.0498048 0.218209i
\(590\) −4.88716e6 + 6.12831e6i −0.577998 + 0.724787i
\(591\) 2.63660e6 + 1.15517e7i 0.310510 + 1.36043i
\(592\) −8.85743e6 −1.03873
\(593\) −1.75484e6 7.68847e6i −0.204928 0.897849i −0.967884 0.251398i \(-0.919110\pi\)
0.762956 0.646451i \(-0.223747\pi\)
\(594\) −8.08590e6 3.89396e6i −0.940290 0.452820i
\(595\) 9.41897e6 + 4.53594e6i 1.09071 + 0.525260i
\(596\) 4.55459e6 + 1.99550e7i 0.525211 + 2.30110i
\(597\) 1.13692e7 1.30555
\(598\) 1.95354e6 + 8.55903e6i 0.223393 + 0.978749i
\(599\) −6.14409e6 + 7.70445e6i −0.699666 + 0.877353i −0.996998 0.0774209i \(-0.975331\pi\)
0.297333 + 0.954774i \(0.403903\pi\)
\(600\) −5.46674e6 + 2.39514e7i −0.619941 + 2.71614i
\(601\) 2.00084e6 8.76623e6i 0.225957 0.989981i −0.726944 0.686697i \(-0.759060\pi\)
0.952900 0.303284i \(-0.0980830\pi\)
\(602\) −1.08832e6 1.36470e6i −0.122395 0.153478i
\(603\) 8.41162e6 + 4.05082e6i 0.942077 + 0.453680i
\(604\) −1.96700e7 + 9.47258e6i −2.19388 + 1.05652i
\(605\) −2.92937e6 + 3.67331e6i −0.325376 + 0.408009i
\(606\) −1.09650e7 1.37497e7i −1.21291 1.52094i
\(607\) 1.03049e7 4.96257e6i 1.13520 0.546682i 0.230642 0.973039i \(-0.425917\pi\)
0.904555 + 0.426357i \(0.140203\pi\)
\(608\) 5.88227e6 0.645336
\(609\) −2.31145e7 + 9.00876e6i −2.52546 + 0.984287i
\(610\) 2.52515e6 0.274765
\(611\) −6.17962e6 + 2.97595e6i −0.669667 + 0.322494i
\(612\) 3.63418e7 + 4.55712e7i 3.92219 + 4.91827i
\(613\) 7.18024e6 9.00373e6i 0.771769 0.967768i −0.228214 0.973611i \(-0.573288\pi\)
0.999983 + 0.00584300i \(0.00185990\pi\)
\(614\) 1.29516e7 6.23718e6i 1.38645 0.667679i
\(615\) −4.76906e6 2.29666e6i −0.508446 0.244855i
\(616\) 7.11730e6 + 8.92481e6i 0.755724 + 0.947649i
\(617\) −2.87667e6 + 1.26035e7i −0.304213 + 1.33284i 0.559488 + 0.828839i \(0.310998\pi\)
−0.863701 + 0.504005i \(0.831859\pi\)
\(618\) −1.09145e7 + 4.78193e7i −1.14956 + 5.03654i
\(619\) 2.73366e6 3.42791e6i 0.286760 0.359586i −0.617498 0.786573i \(-0.711854\pi\)
0.904258 + 0.426987i \(0.140425\pi\)
\(620\) 1.39200e6 + 6.09876e6i 0.145432 + 0.637180i
\(621\) −2.43025e7 −2.52885
\(622\) 747449. + 3.27479e6i 0.0774650 + 0.339396i
\(623\) −1.26690e6 610109.i −0.130775 0.0629777i
\(624\) −1.23528e7 5.94878e6i −1.27000 0.611599i
\(625\) −215014. 942038.i −0.0220174 0.0964647i
\(626\) −1.73772e7 −1.77233
\(627\) −567367. 2.48580e6i −0.0576362 0.252521i
\(628\) 9.21423e6 1.15543e7i 0.932309 1.16908i
\(629\) 1.46465e6 6.41705e6i 0.147607 0.646709i
\(630\) 7.42416e6 3.25274e7i 0.745240 3.26511i
\(631\) −8.19062e6 1.02707e7i −0.818923 1.02690i −0.999064 0.0432565i \(-0.986227\pi\)
0.180141 0.983641i \(-0.442345\pi\)
\(632\) −1.51847e7 7.31256e6i −1.51221 0.728244i
\(633\) −1.03276e7 + 4.97351e6i −1.02445 + 0.493348i
\(634\) −665645. + 834692.i −0.0657687 + 0.0824714i
\(635\) −5.47309e6 6.86303e6i −0.538639 0.675432i
\(636\) 2.17237e7 1.04616e7i 2.12956 1.02554i
\(637\) −5.67478e6 −0.554116
\(638\) 1.78874e6 5.75065e6i 0.173979 0.559327i
\(639\) −8.65278e6 −0.838308
\(640\) 3.12174e6 1.50335e6i 0.301264 0.145081i
\(641\) 4.55463e6 + 5.71133e6i 0.437833 + 0.549025i 0.950971 0.309281i \(-0.100088\pi\)
−0.513138 + 0.858306i \(0.671517\pi\)
\(642\) 1.09668e7 1.37519e7i 1.05012 1.31681i
\(643\) 1.41633e7 6.82068e6i 1.35094 0.650580i 0.388345 0.921514i \(-0.373047\pi\)
0.962598 + 0.270934i \(0.0873327\pi\)
\(644\) 4.88269e7 + 2.35138e7i 4.63922 + 2.23413i
\(645\) −460270. 577161.i −0.0435626 0.0546258i
\(646\) −2.66584e6 + 1.16798e7i −0.251335 + 1.10117i
\(647\) −750617. + 3.28867e6i −0.0704949 + 0.308859i −0.997867 0.0652823i \(-0.979205\pi\)
0.927372 + 0.374141i \(0.122062\pi\)
\(648\) 1.73364e7 2.17391e7i 1.62189 2.03378i
\(649\) −669640. 2.93389e6i −0.0624065 0.273421i
\(650\) 5.03946e6 0.467843
\(651\) 3.14718e6 + 1.37887e7i 0.291051 + 1.27518i
\(652\) −2.41954e7 1.16519e7i −2.22902 1.07344i
\(653\) −1.14279e7 5.50336e6i −1.04877 0.505063i −0.171565 0.985173i \(-0.554882\pi\)
−0.877208 + 0.480110i \(0.840597\pi\)
\(654\) −3.89600e6 1.70695e7i −0.356184 1.56054i
\(655\) 2.45113e6 0.223236
\(656\) 2.85925e6 + 1.25272e7i 0.259413 + 1.13656i
\(657\) 2.57450e6 3.22832e6i 0.232691 0.291785i
\(658\) −1.34691e7 + 5.90120e7i −1.21276 + 5.31344i
\(659\) 606206. 2.65596e6i 0.0543760 0.238237i −0.940436 0.339972i \(-0.889582\pi\)
0.994811 + 0.101735i \(0.0324395\pi\)
\(660\) 5.27720e6 + 6.61740e6i 0.471568 + 0.591327i
\(661\) −1.75326e6 844327.i −0.156079 0.0751635i 0.354214 0.935164i \(-0.384749\pi\)
−0.510292 + 0.860001i \(0.670463\pi\)
\(662\) 2.89393e7 1.39364e7i 2.56651 1.23597i
\(663\) 6.35242e6 7.96568e6i 0.561249 0.703784i
\(664\) −2.08143e7 2.61003e7i −1.83207 2.29734i
\(665\) 4.32168e6 2.08121e6i 0.378965 0.182500i
\(666\) −2.10061e7 −1.83510
\(667\) −2.39247e6 1.61317e7i −0.208225 1.40399i
\(668\) −2.48529e6 −0.215494
\(669\) 5.79773e6 2.79204e6i 0.500833 0.241188i
\(670\) −3.97160e6 4.98023e6i −0.341805 0.428610i
\(671\) −604449. + 757954.i −0.0518266 + 0.0649885i
\(672\) −3.97757e7 + 1.91550e7i −3.39778 + 1.63628i
\(673\) −1.15508e7 5.56259e6i −0.983051 0.473412i −0.127898 0.991787i \(-0.540823\pi\)
−0.855153 + 0.518375i \(0.826537\pi\)
\(674\) 1.50582e7 + 1.88824e7i 1.27680 + 1.60106i
\(675\) −3.10423e6 + 1.36005e7i −0.262237 + 1.14894i
\(676\) 5.22883e6 2.29090e7i 0.440086 1.92814i
\(677\) 671980. 842636.i 0.0563488 0.0706591i −0.752858 0.658182i \(-0.771326\pi\)
0.809207 + 0.587523i \(0.199897\pi\)
\(678\) 4.91641e6 + 2.15402e7i 0.410746 + 1.79960i
\(679\) −3.12021e6 −0.259722
\(680\) −5.04759e6 2.21149e7i −0.418612 1.83406i
\(681\) 2.45115e7 + 1.18041e7i 2.02536 + 0.975363i
\(682\) −3.09343e6 1.48972e6i −0.254671 0.122643i
\(683\) −2.14892e6 9.41502e6i −0.176266 0.772271i −0.983333 0.181812i \(-0.941804\pi\)
0.807068 0.590459i \(-0.201053\pi\)
\(684\) 2.67441e7 2.18568
\(685\) −1.33598e6 5.85332e6i −0.108786 0.476624i
\(686\) −9.37538e6 + 1.17563e7i −0.760639 + 0.953811i
\(687\) 5.00791e6 2.19411e7i 0.404822 1.77364i
\(688\) −398761. + 1.74708e6i −0.0321175 + 0.140716i
\(689\) −1.75893e6 2.20563e6i −0.141156 0.177004i
\(690\) 2.95213e7 + 1.42167e7i 2.36055 + 1.13678i
\(691\) 7.32310e6 3.52662e6i 0.583445 0.280972i −0.118788 0.992920i \(-0.537901\pi\)
0.702233 + 0.711947i \(0.252187\pi\)
\(692\) −3.29961e7 + 4.13758e7i −2.61938 + 3.28459i
\(693\) 7.98637e6 + 1.00146e7i 0.631708 + 0.792136i
\(694\) −4.01606e7 + 1.93403e7i −3.16521 + 1.52428i
\(695\) −1.22490e7 −0.961916
\(696\) 4.65530e7 + 2.70243e7i 3.64271 + 2.11462i
\(697\) −9.54852e6 −0.744482
\(698\) 8.08900e6 3.89546e6i 0.628429 0.302636i
\(699\) −2.67063e7 3.34887e7i −2.06738 2.59242i
\(700\) 1.93959e7 2.43217e7i 1.49612 1.87607i
\(701\) −2.04075e7 + 9.82776e6i −1.56854 + 0.755369i −0.997834 0.0657847i \(-0.979045\pi\)
−0.570707 + 0.821154i \(0.693331\pi\)
\(702\) −1.48250e7 7.13933e6i −1.13541 0.546783i
\(703\) −1.88296e6 2.36116e6i −0.143699 0.180193i
\(704\) 420661. 1.84304e6i 0.0319890 0.140153i
\(705\) −5.69635e6 + 2.49574e7i −0.431642 + 1.89115i
\(706\) 1.97337e6 2.47453e6i 0.149004 0.186845i
\(707\) 2.82648e6 + 1.23836e7i 0.212665 + 0.931748i
\(708\) 4.71565e7 3.53556
\(709\) 974314. + 4.26875e6i 0.0727919 + 0.318922i 0.998195 0.0600632i \(-0.0191302\pi\)
−0.925403 + 0.378985i \(0.876273\pi\)
\(710\) 5.31902e6 + 2.56151e6i 0.395991 + 0.190699i
\(711\) −1.70388e7 8.20548e6i −1.26406 0.608737i
\(712\) 678929. + 2.97458e6i 0.0501908 + 0.219900i
\(713\) −9.29746e6 −0.684921
\(714\) −2.00077e7 8.76594e7i −1.46876 6.43506i
\(715\) 617447. 774254.i 0.0451684 0.0566393i
\(716\) 3.94866e6 1.73002e7i 0.287851 1.26116i
\(717\) −8.10080e6 + 3.54919e7i −0.588477 + 2.57829i
\(718\) 2.94388e7 + 3.69151e7i 2.13113 + 2.67235i
\(719\) 8.60480e6 + 4.14385e6i 0.620752 + 0.298939i 0.717702 0.696351i \(-0.245194\pi\)
−0.0969493 + 0.995289i \(0.530908\pi\)
\(720\) −3.08604e7 + 1.48616e7i −2.21856 + 1.06840i
\(721\) 2.20879e7 2.76973e7i 1.58240 1.98426i
\(722\) −1.25038e7 1.56792e7i −0.892685 1.11939i
\(723\) 2.97656e7 1.43343e7i 2.11772 1.01984i
\(724\) −6.23610e7 −4.42147
\(725\) −9.33344e6 721637.i −0.659473 0.0509887i
\(726\) 4.04089e7 2.84535
\(727\) 1.77318e7 8.53920e6i 1.24428 0.599213i 0.308306 0.951287i \(-0.400238\pi\)
0.935972 + 0.352074i \(0.114524\pi\)
\(728\) 1.30491e7 + 1.63631e7i 0.912542 + 1.14429i
\(729\) −8.26759e6 + 1.03672e7i −0.576183 + 0.722510i
\(730\) −2.53828e6 + 1.22237e6i −0.176292 + 0.0848977i
\(731\) −1.19979e6 577790.i −0.0830449 0.0399923i
\(732\) −9.47174e6 1.18772e7i −0.653359 0.819287i
\(733\) −58648.9 + 256958.i −0.00403181 + 0.0176645i −0.976904 0.213680i \(-0.931455\pi\)
0.972872 + 0.231344i \(0.0743123\pi\)
\(734\) 5.72669e6 2.50903e7i 0.392341 1.71896i
\(735\) −1.32054e7 + 1.65591e7i −0.901642 + 1.13062i
\(736\) −6.45791e6 2.82939e7i −0.439438 1.92530i
\(737\) 2.44557e6 0.165848
\(738\) 6.78094e6 + 2.97092e7i 0.458299 + 2.00794i
\(739\) 1.94847e7 + 9.38332e6i 1.31245 + 0.632042i 0.953522 0.301324i \(-0.0974287\pi\)
0.358926 + 0.933366i \(0.383143\pi\)
\(740\) 9.03240e6 + 4.34977e6i 0.606351 + 0.292003i
\(741\) −1.04023e6 4.55756e6i −0.0695961 0.304920i
\(742\) −2.48963e7 −1.66006
\(743\) −2.09620e6 9.18406e6i −0.139303 0.610327i −0.995589 0.0938244i \(-0.970091\pi\)
0.856286 0.516503i \(-0.172766\pi\)
\(744\) 1.91338e7 2.39930e7i 1.26727 1.58910i
\(745\) 1.98893e6 8.71407e6i 0.131289 0.575215i
\(746\) 2.71414e6 1.18914e7i 0.178561 0.782325i
\(747\) −2.33558e7 2.92873e7i −1.53142 1.92034i
\(748\) 1.37562e7 + 6.62461e6i 0.898966 + 0.432919i
\(749\) −1.14459e7 + 5.51208e6i −0.745499 + 0.359013i
\(750\) 2.94565e7 3.69373e7i 1.91218 2.39779i
\(751\) 7.76672e6 + 9.73916e6i 0.502502 + 0.630118i 0.966792 0.255566i \(-0.0822617\pi\)
−0.464290 + 0.885683i \(0.653690\pi\)
\(752\) 5.59878e7 2.69623e7i 3.61035 1.73865i
\(753\) −1.68388e7 −1.08224
\(754\) 3.27954e6 1.05435e7i 0.210080 0.675390i
\(755\) 9.53377e6 0.608691
\(756\) −9.15149e7 + 4.40712e7i −5.82354 + 2.80447i
\(757\) −2.32667e6 2.91756e6i −0.147569 0.185046i 0.702553 0.711631i \(-0.252043\pi\)
−0.850122 + 0.526586i \(0.823472\pi\)
\(758\) −1.16126e7 + 1.45617e7i −0.734102 + 0.920535i
\(759\) −1.13339e7 + 5.45812e6i −0.714126 + 0.343905i
\(760\) −9.37719e6 4.51582e6i −0.588896 0.283597i
\(761\) −1.08012e7 1.35443e7i −0.676099 0.847801i 0.318890 0.947792i \(-0.396690\pi\)
−0.994988 + 0.0999907i \(0.968119\pi\)
\(762\) −1.67999e7 + 7.36051e7i −1.04814 + 4.59220i
\(763\) −2.81392e6 + 1.23286e7i −0.174985 + 0.766659i
\(764\) 7.14615e6 8.96099e6i 0.442934 0.555421i
\(765\) −5.66393e6 2.48153e7i −0.349917 1.53308i
\(766\) 1.76722e7 1.08822
\(767\) −1.22774e6 5.37909e6i −0.0753562 0.330157i
\(768\) −3.83153e7 1.84517e7i −2.34406