Properties

Label 29.6.d.a.16.1
Level $29$
Weight $6$
Character 29.16
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 16.1
Character \(\chi\) \(=\) 29.16
Dual form 29.6.d.a.20.1

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.29727 4.47733i −1.64354 0.791487i −0.999652 0.0263670i \(-0.991606\pi\)
−0.643888 0.765120i \(-0.722680\pi\)
\(3\) −16.9028 + 21.1954i −1.08431 + 1.35969i −0.156057 + 0.987748i \(0.549878\pi\)
−0.928257 + 0.371939i \(0.878693\pi\)
\(4\) 46.4410 + 58.2352i 1.45128 + 1.81985i
\(5\) −29.3057 14.1129i −0.524236 0.252459i 0.152998 0.988227i \(-0.451107\pi\)
−0.677234 + 0.735768i \(0.736822\pi\)
\(6\) 252.049 121.380i 2.85829 1.37648i
\(7\) −125.979 + 157.972i −0.971744 + 1.21853i 0.00408480 + 0.999992i \(0.498700\pi\)
−0.975829 + 0.218537i \(0.929872\pi\)
\(8\) −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 −0.926554 0.376162i \(-0.877244\pi\)
0.998007 + 0.0631063i \(0.0201007\pi\)
\(12\) −2019.30 −4.04807
\(13\) 52.5736 230.340i 0.0862799 0.378017i −0.913291 0.407308i \(-0.866468\pi\)
0.999571 + 0.0292907i \(0.00932486\pi\)
\(14\) 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 0.905110 0.425177i \(-0.139788\pi\)
−0.615923 + 0.787806i \(0.711217\pi\)
\(20\) −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 −0.945079 0.326842i \(-0.894016\pi\)
−0.333712 + 0.942675i \(0.608301\pi\)
\(24\) 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 0.638450 0.769663i \(-0.279576\pi\)
−0.203680 + 0.979038i \(0.565290\pi\)
\(32\) 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 0.999644 + 0.0266804i \(0.00849363\pi\)
−0.889072 + 0.457767i \(0.848649\pi\)
\(38\) −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 −0.464729 0.885453i \(-0.653848\pi\)
0.402521 + 0.915411i \(0.368134\pi\)
\(44\) 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 −0.0647494 0.997902i \(-0.520625\pi\)
0.491310 0.870985i \(-0.336518\pi\)
\(48\) −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 0.151948 0.988389i \(-0.451445\pi\)
−0.678015 + 0.735048i \(0.737160\pi\)
\(54\) −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 −0.694555 0.719440i \(-0.744399\pi\)
0.855955 + 0.517050i \(0.172970\pi\)
\(62\) −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 0.999323 + 0.0367970i \(0.0117155\pi\)
−0.884393 + 0.466743i \(0.845427\pi\)
\(68\) 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 −0.907732 0.419550i \(-0.862188\pi\)
0.999874 + 0.0158483i \(0.00504489\pi\)
\(72\) −194320. + 93579.8i −4.41761 + 2.12741i
\(73\) −7562.27 + 3641.80i −0.166091 + 0.0799850i −0.515082 0.857141i \(-0.672239\pi\)
0.348991 + 0.937126i \(0.386524\pi\)
\(74\) 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 −0.991634 0.129084i \(-0.958796\pi\)
0.837424 0.546554i \(-0.184061\pi\)
\(80\) 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 0.243323 0.969945i \(-0.421762\pi\)
−0.999771 + 0.0213895i \(0.993191\pi\)
\(84\) 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 0.475367 0.879788i \(-0.342315\pi\)
−0.391459 + 0.920195i \(0.628030\pi\)
\(90\) 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 0.831063 0.556178i \(-0.187733\pi\)
−0.727163 + 0.686465i \(0.759161\pi\)
\(98\) −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 −0.689225 0.724547i \(-0.742049\pi\)
0.136749 + 0.990606i \(0.456335\pi\)
\(102\) 400930. 193078.i 3.81564 1.83752i
\(103\) 39014.6 170934.i 0.362355 1.58758i −0.384844 0.922982i \(-0.625745\pi\)
0.747199 0.664600i \(-0.231398\pi\)
\(104\) −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 0.999020 + 0.0442581i \(0.0140924\pi\)
−0.880883 + 0.473334i \(0.843050\pi\)
\(108\) 111863. + 490102.i 0.922839 + 4.04322i
\(109\) −39021.4 + 48931.3i −0.314584 + 0.394476i −0.913835 0.406085i \(-0.866894\pi\)
0.599251 + 0.800561i \(0.295465\pi\)
\(110\) 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 −0.566628 0.823974i \(-0.691752\pi\)
0.929402 + 0.369070i \(0.120324\pi\)
\(114\) 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 −0.487997 0.872845i \(-0.662272\pi\)
0.818383 0.574673i \(-0.194871\pi\)
\(128\) −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 −0.598658 0.801004i \(-0.704299\pi\)
0.252993 + 0.967468i \(0.418585\pi\)
\(132\) −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 −0.978206 0.207638i \(-0.933422\pi\)
0.791242 0.611503i \(-0.209435\pi\)
\(138\) −628078. + 787584.i −2.80747 + 3.52046i
\(139\) 339287. 163392.i 1.48946 0.717288i 0.500540 0.865713i \(-0.333135\pi\)
0.988924 + 0.148426i \(0.0474206\pi\)
\(140\) 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 0.357784 0.933804i \(-0.383532\pi\)
−0.990006 + 0.141022i \(0.954961\pi\)
\(150\) −520985. 250893.i −1.89059 0.910460i
\(151\) −264078. + 127173.i −0.942519 + 0.453893i −0.841057 0.540946i \(-0.818066\pi\)
−0.101462 + 0.994839i \(0.532352\pi\)
\(152\) 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 0.707603 + 0.706610i \(0.249776\pi\)
−0.944115 + 0.329616i \(0.893081\pi\)
\(164\) −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 −0.809854 0.586631i \(-0.800454\pi\)
0.752132 + 0.659012i \(0.229025\pi\)
\(168\) −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 0.667150 0.744923i \(-0.267514\pi\)
−0.166443 + 0.986051i \(0.553228\pi\)
\(180\) −1.07385e6 + 517141.i −2.47038 + 1.18967i
\(181\) −521999. + 654566.i −1.18433 + 1.48511i −0.347470 + 0.937691i \(0.612959\pi\)
−0.836862 + 0.547414i \(0.815612\pi\)
\(182\) −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 −0.921562 0.388232i \(-0.873086\pi\)
−0.173432 0.984846i \(-0.555486\pi\)
\(194\) −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 −0.758894 0.651214i \(-0.774260\pi\)
0.0359771 + 0.999353i \(0.488546\pi\)
\(198\) 589397. + 283838.i 1.06843 + 0.514527i
\(199\) −261474. 327879.i −0.468055 0.586922i 0.490639 0.871363i \(-0.336763\pi\)
−0.958694 + 0.284441i \(0.908192\pi\)
\(200\) −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 0.994106 + 0.108416i \(0.0345779\pi\)
−0.848618 + 0.529006i \(0.822565\pi\)
\(212\) −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 0.926834 0.375472i \(-0.122519\pi\)
−0.997960 + 0.0638492i \(0.979662\pi\)
\(224\) 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 −0.251212 0.967932i \(-0.580829\pi\)
−0.913388 + 0.407091i \(0.866543\pi\)
\(228\) −918892. 1.15225e6i −1.17065 1.46795i
\(229\) 517590. 649037.i 0.652224 0.817863i −0.340248 0.940336i \(-0.610511\pi\)
0.992472 + 0.122473i \(0.0390824\pi\)
\(230\) −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 0.0337679 + 0.999430i \(0.489249\pi\)
−0.981886 + 0.189473i \(0.939322\pi\)
\(240\) 420021. + 1.84023e6i 0.470698 + 2.06226i
\(241\) −271173. 1.18809e6i −0.300748 1.31767i −0.869001 0.494811i \(-0.835237\pi\)
0.568252 0.822854i \(-0.307620\pi\)
\(242\) −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 0.937020 0.349275i \(-0.113572\pi\)
−0.549024 + 0.835806i \(0.685001\pi\)
\(252\) 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 0.544382 0.838837i \(-0.316764\pi\)
−0.938942 + 0.344074i \(0.888193\pi\)
\(258\) −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 −0.177284 0.984160i \(-0.556731\pi\)
−0.879982 + 0.475008i \(0.842445\pi\)
\(264\) 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 0.998039 0.0626018i \(-0.0199398\pi\)
−0.926364 + 0.376630i \(0.877083\pi\)
\(270\) 504081. + 2.20852e6i 0.420815 + 1.84371i
\(271\) −1.11508e6 1.39826e6i −0.922321 1.15655i −0.987332 0.158669i \(-0.949280\pi\)
0.0650109 0.997885i \(-0.479292\pi\)
\(272\) −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 0.844900 + 0.534925i \(0.179660\pi\)
−0.993323 + 0.115362i \(0.963197\pi\)
\(278\) −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 0.976728 0.214483i \(-0.0688066\pi\)
−0.973062 + 0.230544i \(0.925949\pi\)
\(282\) −1.80718e6 7.91775e6i −1.35325 5.92897i
\(283\) 318688. 399622.i 0.236537 0.296609i −0.649368 0.760474i \(-0.724967\pi\)
0.885906 + 0.463866i \(0.153538\pi\)
\(284\) 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 −0.261808 0.965120i \(-0.584319\pi\)
0.999180 + 0.0404850i \(0.0128903\pi\)
\(294\) −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 0.991712 0.128479i \(-0.0410095\pi\)
−0.949247 + 0.314532i \(0.898152\pi\)
\(312\) 1.75082e6 2.19546e6i 1.01825 1.27685i
\(313\) 1.51721e6 730648.i 0.875355 0.421549i 0.0584289 0.998292i \(-0.481391\pi\)
0.816926 + 0.576743i \(0.195677\pi\)
\(314\) −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 0.459752 0.888047i \(-0.347938\pi\)
−0.407653 + 0.913137i \(0.633653\pi\)
\(318\) −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 0.681963 + 0.731387i \(0.261127\pi\)
−0.931764 + 0.363064i \(0.881731\pi\)
\(338\) −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 0.373935 0.927455i \(-0.378008\pi\)
−0.491969 + 0.870613i \(0.663723\pi\)
\(354\) −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 0.132437 + 0.991191i \(0.457720\pi\)
−0.549384 + 0.835570i \(0.685138\pi\)
\(360\) 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 0.383155 0.923684i \(-0.374838\pi\)
−0.985785 + 0.168009i \(0.946266\pi\)
\(368\) −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 0.625553 0.780182i \(-0.284873\pi\)
−0.899820 + 0.436262i \(0.856302\pi\)
\(374\) −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 0.701430 0.712739i \(-0.252545\pi\)
−0.119907 + 0.992785i \(0.538260\pi\)
\(380\) 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 −0.682870 0.730540i \(-0.739268\pi\)
0.145397 + 0.989373i \(0.453554\pi\)
\(384\) 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 −0.688550 0.725189i \(-0.741752\pi\)
0.305715 0.952123i \(-0.401105\pi\)
\(398\) 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 0.158336 0.987385i \(-0.449387\pi\)
−0.673248 + 0.739416i \(0.735101\pi\)
\(402\) 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 −0.652748 0.757575i \(-0.726384\pi\)
0.883831 + 0.467806i \(0.154955\pi\)
\(410\) −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 −0.769238 0.638962i \(-0.779364\pi\)
0.970295 0.241925i \(-0.0777789\pi\)
\(420\) −1.19570e7 + 5.75817e6i −3.30748 + 1.59280i
\(421\) −3.29124e6 + 1.58498e6i −0.905011 + 0.435830i −0.827696 0.561176i \(-0.810349\pi\)
−0.0773150 + 0.997007i \(0.524635\pi\)
\(422\) 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 0.611780 0.791028i \(-0.290454\pi\)
−0.907329 + 0.420422i \(0.861882\pi\)
\(432\) −9.00741e6 + 1.12949e7i −2.32215 + 2.91189i
\(433\) 4.53612e6 + 2.18448e6i 1.16269 + 0.559923i 0.912823 0.408356i \(-0.133898\pi\)
0.249870 + 0.968279i \(0.419612\pi\)
\(434\) 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 0.336005 0.941860i \(-0.390924\pi\)
−0.993014 + 0.117997i \(0.962353\pi\)
\(440\) 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 0.977154 + 0.212532i \(0.0681710\pi\)
−0.788171 + 0.615456i \(0.788972\pi\)
\(444\) −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 0.141044 0.990003i \(-0.454954\pi\)
0.861955 + 0.506985i \(0.169240\pi\)
\(450\) 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 −0.774810 0.632194i \(-0.782155\pi\)
0.788755 + 0.614708i \(0.210726\pi\)
\(458\) −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 −0.713878 0.700271i \(-0.753063\pi\)
0.841566 + 0.540154i \(0.181634\pi\)
\(462\) 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 −0.287162 0.957882i \(-0.592712\pi\)
0.997766 + 0.0668130i \(0.0212831\pi\)
\(468\) −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 −0.836561 0.547874i \(-0.815437\pi\)
−0.0932423 + 0.995643i \(0.529723\pi\)
\(480\) 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 −0.534204 0.845356i \(-0.679389\pi\)
0.327855 + 0.944728i \(0.393674\pi\)
\(488\) −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 0.327486 0.944856i \(-0.393799\pi\)
−0.534534 + 0.845147i \(0.679513\pi\)
\(492\) 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 −0.923039 0.384707i \(-0.874302\pi\)
−0.274729 + 0.961522i \(0.588588\pi\)
\(500\) −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 0.837714 0.546109i \(-0.183892\pi\)
−0.718826 + 0.695190i \(0.755320\pi\)
\(504\) 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 −0.991443 0.130541i \(-0.958329\pi\)
0.949899 + 0.312558i \(0.101186\pi\)
\(510\) −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 0.755255 0.655431i \(-0.227513\pi\)
−0.807058 + 0.590472i \(0.798942\pi\)
\(542\) 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 0.570485 0.821308i \(-0.306755\pi\)
−0.927661 + 0.373424i \(0.878184\pi\)
\(548\) 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 0.138906 0.990306i \(-0.455641\pi\)
0.860859 + 0.508844i \(0.169927\pi\)
\(558\) −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 −0.997685 0.0680118i \(-0.978334\pi\)
0.928392 + 0.371603i \(0.121192\pi\)
\(570\) −4.14075e6 5.19234e6i −0.533817 0.669385i
\(571\) −2.78453e6 1.21998e7i −0.357406 1.56590i −0.759630 0.650356i \(-0.774620\pi\)
0.402224 0.915541i \(-0.368237\pi\)
\(572\) −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 −0.379067 0.925369i \(-0.623755\pi\)
0.986519 + 0.163649i \(0.0523264\pi\)
\(578\) −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 −0.822144 0.569279i \(-0.807222\pi\)
0.737950 + 0.674855i \(0.235794\pi\)
\(588\) 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 0.762956 + 0.646451i \(0.223747\pi\)
−0.967884 + 0.251398i \(0.919110\pi\)
\(594\) −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 0.297333 0.954774i \(-0.403903\pi\)
−0.996998 + 0.0774209i \(0.975331\pi\)
\(600\) −5.46674e6 2.39514e7i −0.619941 2.71614i
\(601\) 2.00084e6 + 8.76623e6i 0.225957 + 0.989981i 0.952900 + 0.303284i \(0.0980830\pi\)
−0.726944 + 0.686697i \(0.759060\pi\)
\(602\) −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 0.904555 0.426357i \(-0.140203\pi\)
0.230642 + 0.973039i \(0.425917\pi\)
\(608\) 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 0.999983 0.00584300i \(-0.00185990\pi\)
−0.228214 + 0.973611i \(0.573288\pi\)
\(614\) 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 −0.863701 0.504005i \(-0.831859\pi\)
0.559488 0.828839i \(-0.310998\pi\)
\(618\) −1.09145e7 4.78193e7i −1.14956 5.03654i
\(619\) 2.73366e6 + 3.42791e6i 0.286760 + 0.359586i 0.904258 0.426987i \(-0.140425\pi\)
−0.617498 + 0.786573i \(0.711854\pi\)
\(620\) 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 0.180141 + 0.983641i \(0.442345\pi\)
−0.999064 + 0.0432565i \(0.986227\pi\)
\(632\) −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 −0.513138 0.858306i \(-0.671517\pi\)
0.950971 + 0.309281i \(0.100088\pi\)
\(642\) 1.09668e7 + 1.37519e7i 1.05012 + 1.31681i
\(643\) 1.41633e7 + 6.82068e6i 1.35094 + 0.650580i 0.962598 0.270934i \(-0.0873327\pi\)
0.388345 + 0.921514i \(0.373047\pi\)
\(644\) 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 0.927372 0.374141i \(-0.122062\pi\)
−0.997867 + 0.0652823i \(0.979205\pi\)
\(648\) 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 −0.877208 0.480110i \(-0.840597\pi\)
−0.171565 + 0.985173i \(0.554882\pi\)
\(654\) −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 0.994811 0.101735i \(-0.0324395\pi\)
−0.940436 + 0.339972i \(0.889582\pi\)
\(660\) 5.27720e6 6.61740e6i 0.471568 0.591327i
\(661\) −1.75326e6 + 844327.i −0.156079 + 0.0751635i −0.510292 0.860001i \(-0.670463\pi\)
0.354214 + 0.935164i \(0.384749\pi\)
\(662\) 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 −0.855153 0.518375i \(-0.826537\pi\)
−0.127898 + 0.991787i \(0.540823\pi\)
\(674\) 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 0.809207 0.587523i \(-0.199897\pi\)
−0.752858 + 0.658182i \(0.771326\pi\)
\(678\) 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 0.807068 + 0.590459i \(0.201053\pi\)
−0.983333 + 0.181812i \(0.941804\pi\)
\(684\) 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 0.702233 0.711947i \(-0.252187\pi\)
−0.118788 + 0.992920i \(0.537901\pi\)
\(692\) −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 −0.570707 0.821154i \(-0.693331\pi\)
−0.997834 + 0.0657847i \(0.979045\pi\)
\(702\) −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 −0.925403 0.378985i \(-0.876273\pi\)
0.998195 + 0.0600632i \(0.0191302\pi\)
\(710\) 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 −0.0969493 0.995289i \(-0.530908\pi\)
0.717702 + 0.696351i \(0.245194\pi\)
\(720\) −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 0.935972 0.352074i \(-0.114524\pi\)
0.308306 + 0.951287i \(0.400238\pi\)
\(728\) 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 0.972872 0.231344i \(-0.0743123\pi\)
−0.976904 + 0.213680i \(0.931455\pi\)
\(734\) 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 0.358926 0.933366i \(-0.383143\pi\)
0.953522 + 0.301324i \(0.0974287\pi\)
\(740\) 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 0.856286 + 0.516503i \(0.172766\pi\)
−0.995589 + 0.0938244i \(0.970091\pi\)
\(744\) 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 −0.464290 0.885683i \(-0.653690\pi\)
0.966792 + 0.255566i \(0.0822617\pi\)
\(752\) 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 −0.850122 0.526586i \(-0.823472\pi\)
0.702553 + 0.711631i \(0.252043\pi\)
\(758\) −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 −0.994988 0.0999907i \(-0.968119\pi\)
0.318890 + 0.947792i \(0.396690\pi\)
\(762\) −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 + 1.12884i
\(769\) 2.31652e7