Properties

Label 29.6.d.a.7.10
Level $29$
Weight $6$
Character 29.7
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 7.10
Character \(\chi\) \(=\) 29.7
Dual form 29.6.d.a.25.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.95082 + 8.54710i) q^{2} +(-16.4262 - 7.91043i) q^{3} +(-40.4162 + 19.4634i) q^{4} +(-4.08126 - 17.8812i) q^{5} +(35.5667 - 155.828i) q^{6} +(-139.508 - 67.1835i) q^{7} +(-70.2862 - 88.1361i) q^{8} +(55.7366 + 69.8915i) q^{9} +O(q^{10})\) \(q+(1.95082 + 8.54710i) q^{2} +(-16.4262 - 7.91043i) q^{3} +(-40.4162 + 19.4634i) q^{4} +(-4.08126 - 17.8812i) q^{5} +(35.5667 - 155.828i) q^{6} +(-139.508 - 67.1835i) q^{7} +(-70.2862 - 88.1361i) q^{8} +(55.7366 + 69.8915i) q^{9} +(144.870 - 69.7659i) q^{10} +(-76.3415 + 95.7293i) q^{11} +817.849 q^{12} +(-60.7414 + 76.1674i) q^{13} +(302.069 - 1323.45i) q^{14} +(-74.4084 + 326.004i) q^{15} +(-278.812 + 349.619i) q^{16} -974.249 q^{17} +(-488.638 + 612.732i) q^{18} +(-2635.62 + 1269.25i) q^{19} +(512.978 + 643.255i) q^{20} +(1760.13 + 2207.14i) q^{21} +(-967.136 - 465.748i) q^{22} +(477.879 - 2093.73i) q^{23} +(457.340 + 2003.74i) q^{24} +(2512.45 - 1209.93i) q^{25} +(-769.506 - 370.574i) q^{26} +(623.167 + 2730.27i) q^{27} +6946.01 q^{28} +(4507.83 + 436.612i) q^{29} -2931.55 q^{30} +(342.476 + 1500.48i) q^{31} +(-6782.27 - 3266.17i) q^{32} +(2011.26 - 968.572i) q^{33} +(-1900.59 - 8327.01i) q^{34} +(-631.952 + 2768.76i) q^{35} +(-3612.99 - 1739.93i) q^{36} +(6030.88 + 7562.48i) q^{37} +(-15990.0 - 20050.8i) q^{38} +(1600.27 - 770.648i) q^{39} +(-1289.12 + 1616.51i) q^{40} -6672.69 q^{41} +(-15430.9 + 19349.8i) q^{42} +(4491.60 - 19679.0i) q^{43} +(1222.22 - 5354.88i) q^{44} +(1022.27 - 1281.88i) q^{45} +18827.5 q^{46} +(-8370.53 + 10496.3i) q^{47} +(7345.46 - 3537.39i) q^{48} +(4469.87 + 5605.04i) q^{49} +(15242.7 + 19113.8i) q^{50} +(16003.2 + 7706.74i) q^{51} +(972.462 - 4260.63i) q^{52} +(-5060.62 - 22172.0i) q^{53} +(-22120.2 + 10652.5i) q^{54} +(2023.32 + 974.381i) q^{55} +(3884.20 + 17017.8i) q^{56} +53333.4 q^{57} +(5062.19 + 39380.6i) q^{58} -45116.2 q^{59} +(-3337.86 - 14624.1i) q^{60} +(-1112.61 - 535.807i) q^{61} +(-12156.7 + 5854.35i) q^{62} +(-3080.15 - 13495.0i) q^{63} +(11501.1 - 50389.5i) q^{64} +(1609.86 + 775.270i) q^{65} +(12202.1 + 15300.9i) q^{66} +(-4526.94 - 5676.60i) q^{67} +(39375.5 - 18962.2i) q^{68} +(-24412.0 + 30611.7i) q^{69} -24897.7 q^{70} +(-44378.3 + 55648.6i) q^{71} +(2242.45 - 9824.82i) q^{72} +(-8694.08 + 38091.3i) q^{73} +(-52872.1 + 66299.5i) q^{74} -50841.0 q^{75} +(81817.8 - 102596. i) q^{76} +(17081.7 - 8226.11i) q^{77} +(9708.64 + 12174.2i) q^{78} +(-24878.6 - 31196.8i) q^{79} +(7389.51 + 3558.60i) q^{80} +(16195.2 - 70955.7i) q^{81} +(-13017.2 - 57032.2i) q^{82} +(81061.3 - 39037.1i) q^{83} +(-114096. - 54946.0i) q^{84} +(3976.17 + 17420.7i) q^{85} +176961. q^{86} +(-70592.6 - 42830.8i) q^{87} +13803.0 q^{88} +(-3974.72 - 17414.4i) q^{89} +(12950.6 + 6236.70i) q^{90} +(13591.1 - 6545.13i) q^{91} +(21437.0 + 93921.7i) q^{92} +(6243.91 - 27356.4i) q^{93} +(-106042. - 51067.3i) q^{94} +(33452.3 + 41947.8i) q^{95} +(85570.0 + 107301. i) q^{96} +(16803.3 - 8092.02i) q^{97} +(-39187.0 + 49138.9i) q^{98} -10945.7 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.95082 + 8.54710i 0.344859 + 1.51093i 0.788675 + 0.614810i \(0.210767\pi\)
−0.443816 + 0.896118i \(0.646376\pi\)
\(3\) −16.4262 7.91043i −1.05374 0.507455i −0.174908 0.984585i \(-0.555963\pi\)
−0.878833 + 0.477130i \(0.841677\pi\)
\(4\) −40.4162 + 19.4634i −1.26301 + 0.608232i
\(5\) −4.08126 17.8812i −0.0730079 0.319868i 0.925216 0.379441i \(-0.123884\pi\)
−0.998224 + 0.0595721i \(0.981026\pi\)
\(6\) 35.5667 155.828i 0.403335 1.76713i
\(7\) −139.508 67.1835i −1.07610 0.518224i −0.190035 0.981777i \(-0.560860\pi\)
−0.886069 + 0.463553i \(0.846574\pi\)
\(8\) −70.2862 88.1361i −0.388280 0.486888i
\(9\) 55.7366 + 69.8915i 0.229369 + 0.287619i
\(10\) 144.870 69.7659i 0.458121 0.220619i
\(11\) −76.3415 + 95.7293i −0.190230 + 0.238541i −0.867795 0.496922i \(-0.834464\pi\)
0.677565 + 0.735463i \(0.263035\pi\)
\(12\) 817.849 1.63953
\(13\) −60.7414 + 76.1674i −0.0996843 + 0.125000i −0.829171 0.558994i \(-0.811187\pi\)
0.729487 + 0.683994i \(0.239759\pi\)
\(14\) 302.069 1323.45i 0.411895 1.80463i
\(15\) −74.4084 + 326.004i −0.0853874 + 0.374106i
\(16\) −278.812 + 349.619i −0.272277 + 0.341425i
\(17\) −974.249 −0.817613 −0.408807 0.912621i \(-0.634055\pi\)
−0.408807 + 0.912621i \(0.634055\pi\)
\(18\) −488.638 + 612.732i −0.355472 + 0.445748i
\(19\) −2635.62 + 1269.25i −1.67494 + 0.806607i −0.677463 + 0.735557i \(0.736921\pi\)
−0.997473 + 0.0710496i \(0.977365\pi\)
\(20\) 512.978 + 643.255i 0.286764 + 0.359590i
\(21\) 1760.13 + 2207.14i 0.870959 + 1.09215i
\(22\) −967.136 465.748i −0.426021 0.205161i
\(23\) 477.879 2093.73i 0.188364 0.825278i −0.789115 0.614246i \(-0.789460\pi\)
0.977479 0.211032i \(-0.0676825\pi\)
\(24\) 457.340 + 2003.74i 0.162073 + 0.710088i
\(25\) 2512.45 1209.93i 0.803983 0.387178i
\(26\) −769.506 370.574i −0.223243 0.107508i
\(27\) 623.167 + 2730.27i 0.164511 + 0.720770i
\(28\) 6946.01 1.67433
\(29\) 4507.83 + 436.612i 0.995342 + 0.0964053i
\(30\) −2931.55 −0.594695
\(31\) 342.476 + 1500.48i 0.0640067 + 0.280432i 0.996796 0.0799916i \(-0.0254893\pi\)
−0.932789 + 0.360423i \(0.882632\pi\)
\(32\) −6782.27 3266.17i −1.17085 0.563850i
\(33\) 2011.26 968.572i 0.321502 0.154827i
\(34\) −1900.59 8327.01i −0.281962 1.23535i
\(35\) −631.952 + 2768.76i −0.0871995 + 0.382046i
\(36\) −3612.99 1739.93i −0.464634 0.223756i
\(37\) 6030.88 + 7562.48i 0.724229 + 0.908155i 0.998569 0.0534780i \(-0.0170307\pi\)
−0.274340 + 0.961633i \(0.588459\pi\)
\(38\) −15990.0 20050.8i −1.79634 2.25254i
\(39\) 1600.27 770.648i 0.168473 0.0811324i
\(40\) −1289.12 + 1616.51i −0.127393 + 0.159745i
\(41\) −6672.69 −0.619928 −0.309964 0.950748i \(-0.600317\pi\)
−0.309964 + 0.950748i \(0.600317\pi\)
\(42\) −15430.9 + 19349.8i −1.34980 + 1.69259i
\(43\) 4491.60 19679.0i 0.370450 1.62305i −0.355064 0.934842i \(-0.615541\pi\)
0.725514 0.688207i \(-0.241602\pi\)
\(44\) 1222.22 5354.88i 0.0951736 0.416983i
\(45\) 1022.27 1281.88i 0.0752546 0.0943663i
\(46\) 18827.5 1.31189
\(47\) −8370.53 + 10496.3i −0.552724 + 0.693094i −0.977194 0.212348i \(-0.931889\pi\)
0.424470 + 0.905442i \(0.360460\pi\)
\(48\) 7345.46 3537.39i 0.460167 0.221605i
\(49\) 4469.87 + 5605.04i 0.265953 + 0.333495i
\(50\) 15242.7 + 19113.8i 0.862259 + 1.08124i
\(51\) 16003.2 + 7706.74i 0.861552 + 0.414902i
\(52\) 972.462 4260.63i 0.0498729 0.218507i
\(53\) −5060.62 22172.0i −0.247465 1.08422i −0.934043 0.357160i \(-0.883745\pi\)
0.686578 0.727056i \(-0.259112\pi\)
\(54\) −22120.2 + 10652.5i −1.03230 + 0.497129i
\(55\) 2023.32 + 974.381i 0.0901900 + 0.0434332i
\(56\) 3884.20 + 17017.8i 0.165513 + 0.725158i
\(57\) 53333.4 2.17426
\(58\) 5062.19 + 39380.6i 0.197592 + 1.53714i
\(59\) −45116.2 −1.68734 −0.843670 0.536862i \(-0.819609\pi\)
−0.843670 + 0.536862i \(0.819609\pi\)
\(60\) −3337.86 14624.1i −0.119699 0.524434i
\(61\) −1112.61 535.807i −0.0382843 0.0184367i 0.414644 0.909984i \(-0.363906\pi\)
−0.452928 + 0.891547i \(0.649621\pi\)
\(62\) −12156.7 + 5854.35i −0.401639 + 0.193419i
\(63\) −3080.15 13495.0i −0.0977733 0.428373i
\(64\) 11501.1 50389.5i 0.350985 1.53777i
\(65\) 1609.86 + 775.270i 0.0472613 + 0.0227599i
\(66\) 12202.1 + 15300.9i 0.344806 + 0.432373i
\(67\) −4526.94 5676.60i −0.123202 0.154490i 0.716405 0.697684i \(-0.245786\pi\)
−0.839607 + 0.543194i \(0.817215\pi\)
\(68\) 39375.5 18962.2i 1.03265 0.497299i
\(69\) −24412.0 + 30611.7i −0.617278 + 0.774042i
\(70\) −24897.7 −0.607316
\(71\) −44378.3 + 55648.6i −1.04478 + 1.31011i −0.0955856 + 0.995421i \(0.530472\pi\)
−0.949194 + 0.314691i \(0.898099\pi\)
\(72\) 2242.45 9824.82i 0.0509791 0.223354i
\(73\) −8694.08 + 38091.3i −0.190949 + 0.836601i 0.785156 + 0.619298i \(0.212583\pi\)
−0.976104 + 0.217302i \(0.930274\pi\)
\(74\) −52872.1 + 66299.5i −1.12240 + 1.40744i
\(75\) −50841.0 −1.04366
\(76\) 81817.8 102596.i 1.62485 2.03750i
\(77\) 17081.7 8226.11i 0.328325 0.158113i
\(78\) 9708.64 + 12174.2i 0.180685 + 0.226572i
\(79\) −24878.6 31196.8i −0.448495 0.562395i 0.505265 0.862964i \(-0.331395\pi\)
−0.953760 + 0.300569i \(0.902823\pi\)
\(80\) 7389.51 + 3558.60i 0.129089 + 0.0621662i
\(81\) 16195.2 70955.7i 0.274267 1.20164i
\(82\) −13017.2 57032.2i −0.213788 0.936667i
\(83\) 81061.3 39037.1i 1.29157 0.621988i 0.343233 0.939250i \(-0.388478\pi\)
0.948338 + 0.317263i \(0.102764\pi\)
\(84\) −114096. 54946.0i −1.76431 0.849645i
\(85\) 3976.17 + 17420.7i 0.0596922 + 0.261529i
\(86\) 176961. 2.58006
\(87\) −70592.6 42830.8i −0.999911 0.606677i
\(88\) 13803.0 0.190005
\(89\) −3974.72 17414.4i −0.0531901 0.233041i 0.941345 0.337447i \(-0.109563\pi\)
−0.994535 + 0.104405i \(0.966706\pi\)
\(90\) 12950.6 + 6236.70i 0.168533 + 0.0811612i
\(91\) 13591.1 6545.13i 0.172049 0.0828543i
\(92\) 21437.0 + 93921.7i 0.264055 + 1.15690i
\(93\) 6243.91 27356.4i 0.0748600 0.327983i
\(94\) −106042. 51067.3i −1.23783 0.596106i
\(95\) 33452.3 + 41947.8i 0.380291 + 0.476870i
\(96\) 85570.0 + 107301.i 0.947641 + 1.18830i
\(97\) 16803.3 8092.02i 0.181328 0.0873228i −0.341017 0.940057i \(-0.610772\pi\)
0.522345 + 0.852734i \(0.325057\pi\)
\(98\) −39187.0 + 49138.9i −0.412170 + 0.516845i
\(99\) −10945.7 −0.112242
\(100\) −77994.2 + 97801.7i −0.779942 + 0.978017i
\(101\) −18177.6 + 79641.4i −0.177310 + 0.776847i 0.805555 + 0.592521i \(0.201867\pi\)
−0.982865 + 0.184326i \(0.940990\pi\)
\(102\) −34650.9 + 151815.i −0.329772 + 1.44483i
\(103\) −67194.3 + 84258.9i −0.624078 + 0.782569i −0.988912 0.148503i \(-0.952554\pi\)
0.364834 + 0.931073i \(0.381126\pi\)
\(104\) 10982.4 0.0995665
\(105\) 32282.7 40481.2i 0.285757 0.358328i
\(106\) 179634. 86507.2i 1.55283 0.747804i
\(107\) −91686.9 114972.i −0.774190 0.970804i 0.225804 0.974173i \(-0.427499\pi\)
−0.999994 + 0.00336885i \(0.998928\pi\)
\(108\) −78326.5 98218.3i −0.646174 0.810276i
\(109\) 23664.0 + 11396.0i 0.190775 + 0.0918726i 0.526833 0.849969i \(-0.323379\pi\)
−0.336057 + 0.941841i \(0.609094\pi\)
\(110\) −4380.99 + 19194.4i −0.0345216 + 0.151249i
\(111\) −39241.8 171930.i −0.302302 1.32447i
\(112\) 62385.2 30043.1i 0.469933 0.226308i
\(113\) −26236.8 12635.0i −0.193293 0.0930848i 0.334734 0.942313i \(-0.391354\pi\)
−0.528027 + 0.849228i \(0.677068\pi\)
\(114\) 104044. + 455846.i 0.749815 + 3.28516i
\(115\) −39388.7 −0.277732
\(116\) −190687. + 70091.6i −1.31576 + 0.483639i
\(117\) −8708.98 −0.0588169
\(118\) −88013.6 385613.i −0.581895 2.54945i
\(119\) 135916. + 65453.5i 0.879837 + 0.423707i
\(120\) 33962.6 16355.5i 0.215302 0.103684i
\(121\) 32501.2 + 142397.i 0.201807 + 0.884173i
\(122\) 2409.09 10554.9i 0.0146539 0.0642028i
\(123\) 109607. + 52783.9i 0.653243 + 0.314585i
\(124\) −43046.2 53978.2i −0.251409 0.315256i
\(125\) −67624.7 84798.7i −0.387107 0.485416i
\(126\) 109334. 52652.7i 0.613523 0.295457i
\(127\) 181501. 227595.i 0.998547 1.25214i 0.0309815 0.999520i \(-0.490137\pi\)
0.967566 0.252619i \(-0.0812919\pi\)
\(128\) 212232. 1.14495
\(129\) −229449. + 287720.i −1.21398 + 1.52229i
\(130\) −3485.75 + 15272.1i −0.0180900 + 0.0792574i
\(131\) 6567.99 28776.2i 0.0334391 0.146506i −0.955452 0.295145i \(-0.904632\pi\)
0.988892 + 0.148639i \(0.0474892\pi\)
\(132\) −62435.8 + 78292.0i −0.311888 + 0.391095i
\(133\) 452962. 2.22041
\(134\) 39687.2 49766.2i 0.190936 0.239427i
\(135\) 46277.2 22285.9i 0.218541 0.105244i
\(136\) 68476.3 + 85866.6i 0.317463 + 0.398086i
\(137\) −37647.0 47207.9i −0.171368 0.214889i 0.688730 0.725018i \(-0.258169\pi\)
−0.860097 + 0.510130i \(0.829597\pi\)
\(138\) −309265. 148934.i −1.38240 0.665727i
\(139\) −31639.3 + 138621.i −0.138896 + 0.608543i 0.856783 + 0.515678i \(0.172460\pi\)
−0.995679 + 0.0928653i \(0.970397\pi\)
\(140\) −28348.5 124203.i −0.122239 0.535564i
\(141\) 220526. 106200.i 0.934141 0.449859i
\(142\) −562208. 270745.i −2.33979 1.12678i
\(143\) −2654.35 11629.5i −0.0108547 0.0475576i
\(144\) −39975.5 −0.160652
\(145\) −10590.5 82387.3i −0.0418308 0.325417i
\(146\) −342530. −1.32989
\(147\) −29084.6 127428.i −0.111012 0.486376i
\(148\) −390937. 188265.i −1.46708 0.706506i
\(149\) −317766. + 153028.i −1.17258 + 0.564683i −0.915740 0.401771i \(-0.868395\pi\)
−0.256837 + 0.966455i \(0.582680\pi\)
\(150\) −99181.7 434543.i −0.359918 1.57690i
\(151\) −52702.5 + 230905.i −0.188100 + 0.824120i 0.789517 + 0.613729i \(0.210331\pi\)
−0.977617 + 0.210392i \(0.932526\pi\)
\(152\) 297114. + 143083.i 1.04307 + 0.502317i
\(153\) −54301.4 68091.8i −0.187535 0.235161i
\(154\) 103633. + 129951.i 0.352123 + 0.441549i
\(155\) 25432.7 12247.7i 0.0850283 0.0409475i
\(156\) −49677.3 + 62293.4i −0.163436 + 0.204942i
\(157\) 525305. 1.70084 0.850418 0.526108i \(-0.176349\pi\)
0.850418 + 0.526108i \(0.176349\pi\)
\(158\) 218108. 273499.i 0.695071 0.871591i
\(159\) −92263.7 + 404233.i −0.289426 + 1.26806i
\(160\) −30722.7 + 134605.i −0.0948768 + 0.415683i
\(161\) −207332. + 259986.i −0.630379 + 0.790470i
\(162\) 638060. 1.91018
\(163\) −242877. + 304558.i −0.716008 + 0.897845i −0.998105 0.0615405i \(-0.980399\pi\)
0.282097 + 0.959386i \(0.408970\pi\)
\(164\) 269685. 129873.i 0.782974 0.377060i
\(165\) −25527.7 32010.7i −0.0729965 0.0915347i
\(166\) 491790. + 616685.i 1.38519 + 1.73697i
\(167\) −528215. 254375.i −1.46561 0.705803i −0.480387 0.877057i \(-0.659504\pi\)
−0.985227 + 0.171254i \(0.945218\pi\)
\(168\) 70815.5 310263.i 0.193578 0.848119i
\(169\) 80508.5 + 352731.i 0.216833 + 0.950007i
\(170\) −141140. + 67969.4i −0.374565 + 0.180381i
\(171\) −235610. 113464.i −0.616174 0.296734i
\(172\) 201487. + 882773.i 0.519309 + 2.27524i
\(173\) 541003. 1.37431 0.687155 0.726511i \(-0.258859\pi\)
0.687155 + 0.726511i \(0.258859\pi\)
\(174\) 228365. 686918.i 0.571817 1.72001i
\(175\) −431794. −1.06581
\(176\) −12183.8 53380.9i −0.0296485 0.129899i
\(177\) 741087. + 356889.i 1.77802 + 0.856248i
\(178\) 141088. 67944.6i 0.333765 0.160733i
\(179\) −80017.2 350578.i −0.186660 0.817810i −0.978362 0.206902i \(-0.933662\pi\)
0.791702 0.610908i \(-0.209195\pi\)
\(180\) −16366.4 + 71705.7i −0.0376505 + 0.164958i
\(181\) −173111. 83365.9i −0.392761 0.189144i 0.227071 0.973878i \(-0.427085\pi\)
−0.619832 + 0.784734i \(0.712799\pi\)
\(182\) 82455.7 + 103396.i 0.184520 + 0.231380i
\(183\) 14037.6 + 17602.5i 0.0309859 + 0.0388551i
\(184\) −218121. + 105042.i −0.474956 + 0.228727i
\(185\) 110613. 138704.i 0.237616 0.297960i
\(186\) 245998. 0.521375
\(187\) 74375.7 93264.2i 0.155535 0.195034i
\(188\) 134011. 587140.i 0.276532 1.21157i
\(189\) 96492.5 422761.i 0.196489 0.860877i
\(190\) −293273. + 367752.i −0.589370 + 0.739046i
\(191\) 448.668 0.000889901 0.000444950 1.00000i \(-0.499858\pi\)
0.000444950 1.00000i \(0.499858\pi\)
\(192\) −587522. + 736729.i −1.15019 + 1.44230i
\(193\) −604970. + 291338.i −1.16907 + 0.562995i −0.914708 0.404114i \(-0.867580\pi\)
−0.254362 + 0.967109i \(0.581865\pi\)
\(194\) 101943. + 127833.i 0.194471 + 0.243859i
\(195\) −20311.2 25469.5i −0.0382516 0.0479660i
\(196\) −289749. 139536.i −0.538743 0.259445i
\(197\) 115431. 505736.i 0.211913 0.928450i −0.751353 0.659900i \(-0.770599\pi\)
0.963266 0.268550i \(-0.0865443\pi\)
\(198\) −21353.1 93553.9i −0.0387077 0.169589i
\(199\) −160510. + 77297.8i −0.287323 + 0.138368i −0.571994 0.820258i \(-0.693830\pi\)
0.284671 + 0.958625i \(0.408116\pi\)
\(200\) −283229. 136396.i −0.500683 0.241116i
\(201\) 29455.9 + 129055.i 0.0514260 + 0.225312i
\(202\) −716165. −1.23491
\(203\) −599545. 363763.i −1.02113 0.619552i
\(204\) −796789. −1.34050
\(205\) 27233.0 + 119316.i 0.0452596 + 0.198295i
\(206\) −851254. 409942.i −1.39763 0.673061i
\(207\) 172969. 83297.5i 0.280571 0.135116i
\(208\) −9694.13 42472.7i −0.0155364 0.0680694i
\(209\) 79703.0 349202.i 0.126214 0.552982i
\(210\) 408975. + 196952.i 0.639953 + 0.308185i
\(211\) 585790. + 734558.i 0.905808 + 1.13585i 0.990234 + 0.139417i \(0.0445230\pi\)
−0.0844257 + 0.996430i \(0.526906\pi\)
\(212\) 636075. + 797612.i 0.972005 + 1.21886i
\(213\) 1.16917e6 563043.i 1.76575 0.850340i
\(214\) 803810. 1.00795e6i 1.19983 1.50454i
\(215\) −370215. −0.546208
\(216\) 196836. 246824.i 0.287058 0.359959i
\(217\) 53029.7 232338.i 0.0764487 0.334944i
\(218\) −51238.5 + 224490.i −0.0730222 + 0.319931i
\(219\) 444129. 556920.i 0.625747 0.784662i
\(220\) −100740. −0.140328
\(221\) 59177.3 74206.0i 0.0815032 0.102202i
\(222\) 1.39295e6 670807.i 1.89693 0.913514i
\(223\) −860092. 1.07852e6i −1.15820 1.45233i −0.868826 0.495118i \(-0.835125\pi\)
−0.289372 0.957217i \(-0.593447\pi\)
\(224\) 726749. + 911314.i 0.967752 + 1.21352i
\(225\) 224599. + 108161.i 0.295769 + 0.142435i
\(226\) 56809.2 248897.i 0.0739857 0.324152i
\(227\) 128660. + 563696.i 0.165721 + 0.726073i 0.987675 + 0.156519i \(0.0500271\pi\)
−0.821954 + 0.569555i \(0.807116\pi\)
\(228\) −2.15554e6 + 1.03805e6i −2.74611 + 1.32246i
\(229\) 594839. + 286459.i 0.749567 + 0.360973i 0.769346 0.638832i \(-0.220582\pi\)
−0.0197792 + 0.999804i \(0.506296\pi\)
\(230\) −76840.2 336659.i −0.0957787 0.419634i
\(231\) −345659. −0.426204
\(232\) −278357. 427990.i −0.339533 0.522052i
\(233\) −1.09012e6 −1.31548 −0.657739 0.753246i \(-0.728487\pi\)
−0.657739 + 0.753246i \(0.728487\pi\)
\(234\) −16989.6 74436.5i −0.0202836 0.0888682i
\(235\) 221849. + 106837.i 0.262052 + 0.126198i
\(236\) 1.82343e6 878116.i 2.13112 1.02629i
\(237\) 161880. + 709244.i 0.187207 + 0.820210i
\(238\) −294291. + 1.28937e6i −0.336771 + 1.47549i
\(239\) 591887. + 285038.i 0.670261 + 0.322781i 0.737881 0.674930i \(-0.235826\pi\)
−0.0676203 + 0.997711i \(0.521541\pi\)
\(240\) −93231.4 116908.i −0.104480 0.131014i
\(241\) −118927. 149130.i −0.131898 0.165395i 0.711496 0.702690i \(-0.248018\pi\)
−0.843395 + 0.537295i \(0.819446\pi\)
\(242\) −1.15368e6 + 555581.i −1.26633 + 0.609831i
\(243\) −403020. + 505371.i −0.437835 + 0.549028i
\(244\) 55396.3 0.0595671
\(245\) 81982.1 102802.i 0.0872577 0.109418i
\(246\) −237326. + 1.03979e6i −0.250039 + 1.09549i
\(247\) 63416.0 277844.i 0.0661388 0.289773i
\(248\) 108176. 135648.i 0.111686 0.140050i
\(249\) −1.64033e6 −1.67661
\(250\) 592860. 743422.i 0.599932 0.752291i
\(251\) 756041. 364090.i 0.757462 0.364775i −0.0149564 0.999888i \(-0.504761\pi\)
0.772419 + 0.635113i \(0.219047\pi\)
\(252\) 387147. + 485467.i 0.384039 + 0.481569i
\(253\) 163949. + 205585.i 0.161030 + 0.201925i
\(254\) 2.29935e6 + 1.10731e6i 2.23625 + 1.07692i
\(255\) 72492.3 317609.i 0.0698138 0.305874i
\(256\) 45993.0 + 201508.i 0.0438623 + 0.192173i
\(257\) −223089. + 107434.i −0.210691 + 0.101463i −0.536253 0.844057i \(-0.680161\pi\)
0.325562 + 0.945521i \(0.394446\pi\)
\(258\) −2.90679e6 1.39984e6i −2.71872 1.30927i
\(259\) −333282. 1.46020e6i −0.308718 1.35258i
\(260\) −80154.1 −0.0735347
\(261\) 220736. + 339394.i 0.200572 + 0.308392i
\(262\) 258766. 0.232892
\(263\) 160999. + 705385.i 0.143527 + 0.628835i 0.994600 + 0.103786i \(0.0330958\pi\)
−0.851072 + 0.525049i \(0.824047\pi\)
\(264\) −226730. 109187.i −0.200216 0.0964191i
\(265\) −375808. + 180980.i −0.328739 + 0.158313i
\(266\) 883647. + 3.87151e6i 0.765729 + 3.35488i
\(267\) −72465.8 + 317493.i −0.0622092 + 0.272557i
\(268\) 293448. + 141317.i 0.249571 + 0.120187i
\(269\) −1.06154e6 1.33113e6i −0.894448 1.12160i −0.991983 0.126371i \(-0.959667\pi\)
0.0975348 0.995232i \(-0.468904\pi\)
\(270\) 280758. + 352060.i 0.234382 + 0.293905i
\(271\) −438333. + 211090.i −0.362561 + 0.174600i −0.606291 0.795243i \(-0.707343\pi\)
0.243730 + 0.969843i \(0.421629\pi\)
\(272\) 271632. 340616.i 0.222618 0.279154i
\(273\) −275025. −0.223340
\(274\) 330048. 413867.i 0.265583 0.333031i
\(275\) −75978.3 + 332883.i −0.0605840 + 0.265436i
\(276\) 390833. 1.71235e6i 0.308829 1.35307i
\(277\) −385645. + 483584.i −0.301987 + 0.378680i −0.909552 0.415590i \(-0.863575\pi\)
0.607565 + 0.794270i \(0.292147\pi\)
\(278\) −1.24653e6 −0.967364
\(279\) −85782.7 + 107568.i −0.0659765 + 0.0827319i
\(280\) 288446. 138908.i 0.219871 0.105885i
\(281\) −112850. 141509.i −0.0852580 0.106910i 0.737373 0.675486i \(-0.236066\pi\)
−0.822631 + 0.568576i \(0.807495\pi\)
\(282\) 1.33791e6 + 1.67768e6i 1.00185 + 1.25628i
\(283\) 2.34958e6 + 1.13150e6i 1.74391 + 0.839824i 0.981176 + 0.193113i \(0.0618585\pi\)
0.762736 + 0.646710i \(0.223856\pi\)
\(284\) 710490. 3.11286e6i 0.522712 2.29015i
\(285\) −217668. 953665.i −0.158738 0.695478i
\(286\) 94220.0 45374.0i 0.0681127 0.0328014i
\(287\) 930894. + 448295.i 0.667107 + 0.321262i
\(288\) −149743. 656069.i −0.106382 0.466088i
\(289\) −470695. −0.331509
\(290\) 683512. 251241.i 0.477256 0.175426i
\(291\) −340025. −0.235385
\(292\) −390005. 1.70872e6i −0.267678 1.17277i
\(293\) −1.41050e6 679260.i −0.959850 0.462239i −0.112721 0.993627i \(-0.535957\pi\)
−0.847129 + 0.531387i \(0.821671\pi\)
\(294\) 1.03240e6 497179.i 0.696595 0.335463i
\(295\) 184131. + 806731.i 0.123189 + 0.539727i
\(296\) 242640. 1.06308e6i 0.160966 0.705237i
\(297\) −308940. 148778.i −0.203228 0.0978695i
\(298\) −1.92785e6 2.41745e6i −1.25757 1.57694i
\(299\) 130446. + 163575.i 0.0843829 + 0.105813i
\(300\) 2.05480e6 989540.i 1.31816 0.634791i
\(301\) −1.94872e6 + 2.44362e6i −1.23975 + 1.55459i
\(302\) −2.07638e6 −1.31005
\(303\) 928588. 1.16441e6i 0.581054 0.728618i
\(304\) 291089. 1.27534e6i 0.180651 0.791486i
\(305\) −5039.99 + 22081.6i −0.00310227 + 0.0135920i
\(306\) 476055. 596954.i 0.290639 0.364450i
\(307\) −1.62154e6 −0.981936 −0.490968 0.871178i \(-0.663357\pi\)
−0.490968 + 0.871178i \(0.663357\pi\)
\(308\) −530269. + 664936.i −0.318507 + 0.399396i
\(309\) 1.77027e6 852517.i 1.05474 0.507934i
\(310\) 154297. + 193483.i 0.0911915 + 0.114351i
\(311\) 395032. + 495354.i 0.231596 + 0.290412i 0.884027 0.467436i \(-0.154822\pi\)
−0.652431 + 0.757848i \(0.726251\pi\)
\(312\) −180399. 86875.4i −0.104917 0.0505255i
\(313\) −25998.1 + 113905.i −0.0149996 + 0.0657176i −0.981874 0.189536i \(-0.939302\pi\)
0.966874 + 0.255253i \(0.0821589\pi\)
\(314\) 1.02477e6 + 4.48983e6i 0.586549 + 2.56984i
\(315\) −228736. + 110153.i −0.129885 + 0.0625492i
\(316\) 1.61269e6 + 776633.i 0.908520 + 0.437520i
\(317\) −102322. 448301.i −0.0571900 0.250566i 0.938250 0.345959i \(-0.112446\pi\)
−0.995440 + 0.0953931i \(0.969589\pi\)
\(318\) −3.63501e6 −2.01576
\(319\) −385931. + 398199.i −0.212341 + 0.219091i
\(320\) −947963. −0.517507
\(321\) 596590. + 2.61383e6i 0.323157 + 1.41584i
\(322\) −2.62659e6 1.26490e6i −1.41174 0.679856i
\(323\) 2.56775e6 1.23656e6i 1.36945 0.659492i
\(324\) 726494. + 3.18298e6i 0.384476 + 1.68450i
\(325\) −60452.4 + 264859.i −0.0317472 + 0.139094i
\(326\) −3.07690e6 1.48176e6i −1.60350 0.772206i
\(327\) −298563. 374386.i −0.154407 0.193620i
\(328\) 468998. + 588105.i 0.240706 + 0.301836i
\(329\) 1.87293e6 901958.i 0.953966 0.459406i
\(330\) 223799. 280635.i 0.113129 0.141859i
\(331\) 2.67577e6 1.34239 0.671196 0.741280i \(-0.265781\pi\)
0.671196 + 0.741280i \(0.265781\pi\)
\(332\) −2.51640e6 + 3.15546e6i −1.25295 + 1.57115i
\(333\) −192413. + 843014.i −0.0950873 + 0.416605i
\(334\) 1.14372e6 5.01095e6i 0.560986 2.45784i
\(335\) −83028.7 + 104115.i −0.0404219 + 0.0506874i
\(336\) −1.26240e6 −0.610029
\(337\) 118890. 149083.i 0.0570255 0.0715077i −0.752501 0.658591i \(-0.771153\pi\)
0.809526 + 0.587084i \(0.199724\pi\)
\(338\) −2.85777e6 + 1.37623e6i −1.36062 + 0.655238i
\(339\) 331023. + 415089.i 0.156444 + 0.196174i
\(340\) −499769. 626690.i −0.234462 0.294006i
\(341\) −169785. 81764.3i −0.0790705 0.0380783i
\(342\) 510154. 2.23513e6i 0.235850 1.03333i
\(343\) 332079. + 1.45493e6i 0.152408 + 0.667741i
\(344\) −2.05013e6 + 987290.i −0.934082 + 0.449830i
\(345\) 647005. + 311581.i 0.292658 + 0.140937i
\(346\) 1.05540e6 + 4.62401e6i 0.473944 + 2.07648i
\(347\) 3.71980e6 1.65842 0.829212 0.558935i \(-0.188790\pi\)
0.829212 + 0.558935i \(0.188790\pi\)
\(348\) 3.68672e6 + 357083.i 1.63190 + 0.158059i
\(349\) 228044. 0.100220 0.0501100 0.998744i \(-0.484043\pi\)
0.0501100 + 0.998744i \(0.484043\pi\)
\(350\) −842352. 3.69059e6i −0.367556 1.61037i
\(351\) −245810. 118376.i −0.106495 0.0512855i
\(352\) 830437. 399917.i 0.357232 0.172034i
\(353\) −306907. 1.34465e6i −0.131090 0.574343i −0.997219 0.0745228i \(-0.976257\pi\)
0.866129 0.499820i \(-0.166601\pi\)
\(354\) −1.60464e6 + 7.03037e6i −0.680563 + 2.98174i
\(355\) 1.17618e6 + 566420.i 0.495341 + 0.238543i
\(356\) 499586. + 626461.i 0.208923 + 0.261981i
\(357\) −1.71481e6 2.15030e6i −0.712107 0.892954i
\(358\) 2.84033e6 1.36783e6i 1.17128 0.564059i
\(359\) −771501. + 967432.i −0.315937 + 0.396173i −0.914290 0.405060i \(-0.867251\pi\)
0.598353 + 0.801233i \(0.295822\pi\)
\(360\) −184832. −0.0751657
\(361\) 3.79166e6 4.75460e6i 1.53131 1.92020i
\(362\) 374828. 1.64223e6i 0.150335 0.658662i
\(363\) 592551. 2.59614e6i 0.236026 1.03410i
\(364\) −421911. + 529059.i −0.166904 + 0.209291i
\(365\) 716600. 0.281543
\(366\) −123066. + 154320.i −0.0480214 + 0.0602170i
\(367\) 1.05580e6 508449.i 0.409184 0.197052i −0.217957 0.975958i \(-0.569939\pi\)
0.627141 + 0.778906i \(0.284225\pi\)
\(368\) 598768. + 750832.i 0.230483 + 0.289017i
\(369\) −371913. 466365.i −0.142192 0.178303i
\(370\) 1.40130e6 + 674830.i 0.532141 + 0.256266i
\(371\) −783598. + 3.43317e6i −0.295569 + 1.29497i
\(372\) 280093. + 1.22717e6i 0.104941 + 0.459777i
\(373\) −4.69427e6 + 2.26064e6i −1.74701 + 0.841316i −0.767196 + 0.641413i \(0.778348\pi\)
−0.979816 + 0.199903i \(0.935937\pi\)
\(374\) 942232. + 453755.i 0.348320 + 0.167742i
\(375\) 440022. + 1.92786e6i 0.161583 + 0.707942i
\(376\) 1.51344e6 0.552071
\(377\) −307068. + 316829.i −0.111271 + 0.114808i
\(378\) 3.80162e6 1.36848
\(379\) 539722. + 2.36468e6i 0.193007 + 0.845618i 0.974978 + 0.222303i \(0.0713574\pi\)
−0.781971 + 0.623315i \(0.785785\pi\)
\(380\) −2.16846e6 1.04428e6i −0.770359 0.370985i
\(381\) −4.78173e6 + 2.30276e6i −1.68761 + 0.812712i
\(382\) 875.270 + 3834.81i 0.000306891 + 0.00134458i
\(383\) 587578. 2.57435e6i 0.204677 0.896748i −0.763367 0.645965i \(-0.776455\pi\)
0.968043 0.250782i \(-0.0806879\pi\)
\(384\) −3.48617e6 1.67885e6i −1.20648 0.581011i
\(385\) −216807. 271868.i −0.0745457 0.0934773i
\(386\) −3.67029e6 4.60239e6i −1.25381 1.57223i
\(387\) 1.62574e6 782916.i 0.551790 0.265728i
\(388\) −521626. + 654098.i −0.175906 + 0.220579i
\(389\) −2.82787e6 −0.947513 −0.473757 0.880656i \(-0.657102\pi\)
−0.473757 + 0.880656i \(0.657102\pi\)
\(390\) 178066. 223288.i 0.0592817 0.0743369i
\(391\) −465574. + 2.03981e6i −0.154009 + 0.674758i
\(392\) 179836. 787915.i 0.0591102 0.258979i
\(393\) −335519. + 420728.i −0.109581 + 0.137411i
\(394\) 4.54776e6 1.47590
\(395\) −456299. + 572181.i −0.147149 + 0.184519i
\(396\) 442383. 213041.i 0.141762 0.0682691i
\(397\) −2.25646e6 2.82951e6i −0.718540 0.901021i 0.279714 0.960083i \(-0.409760\pi\)
−0.998254 + 0.0590625i \(0.981189\pi\)
\(398\) −973799. 1.22111e6i −0.308150 0.386407i
\(399\) −7.44044e6 3.58313e6i −2.33973 1.12676i
\(400\) −277485. + 1.21574e6i −0.0867142 + 0.379920i
\(401\) −241569. 1.05838e6i −0.0750205 0.328686i 0.923466 0.383680i \(-0.125343\pi\)
−0.998487 + 0.0549935i \(0.982486\pi\)
\(402\) −1.04558e6 + 503526.i −0.322696 + 0.155402i
\(403\) −135090. 65056.1i −0.0414345 0.0199538i
\(404\) −815424. 3.57261e6i −0.248559 1.08901i
\(405\) −1.33487e6 −0.404391
\(406\) 1.93951e6 5.83401e6i 0.583952 1.75652i
\(407\) −1.18436e6 −0.354402
\(408\) −445563. 1.95214e6i −0.132513 0.580577i
\(409\) −521500. 251141.i −0.154151 0.0742352i 0.355218 0.934784i \(-0.384407\pi\)
−0.509369 + 0.860548i \(0.670121\pi\)
\(410\) −966676. + 465527.i −0.284002 + 0.136768i
\(411\) 244962. + 1.07325e6i 0.0715311 + 0.313398i
\(412\) 1.07577e6 4.71326e6i 0.312231 1.36798i
\(413\) 6.29407e6 + 3.03107e6i 1.81575 + 0.874420i
\(414\) 1.04938e6 + 1.31589e6i 0.300908 + 0.377327i
\(415\) −1.02886e6 1.29015e6i −0.293249 0.367723i
\(416\) 660740. 318196.i 0.187196 0.0901491i
\(417\) 1.61626e6 2.02673e6i 0.455168 0.570763i
\(418\) 3.14015e6 0.879042
\(419\) 2.37028e6 2.97224e6i 0.659576 0.827082i −0.333721 0.942672i \(-0.608304\pi\)
0.993297 + 0.115590i \(0.0368759\pi\)
\(420\) −516841. + 2.26443e6i −0.142966 + 0.626377i
\(421\) 884521. 3.87534e6i 0.243222 1.06562i −0.694842 0.719162i \(-0.744526\pi\)
0.938064 0.346462i \(-0.112617\pi\)
\(422\) −5.13557e6 + 6.43980e6i −1.40381 + 1.76032i
\(423\) −1.20015e6 −0.326125
\(424\) −1.59846e6 + 2.00441e6i −0.431806 + 0.541467i
\(425\) −2.44775e6 + 1.17877e6i −0.657347 + 0.316562i
\(426\) 7.09323e6 + 8.89463e6i 1.89374 + 2.37467i
\(427\) 119221. + 149499.i 0.0316435 + 0.0396797i
\(428\) 5.94338e6 + 2.86218e6i 1.56828 + 0.755245i
\(429\) −48393.3 + 212025.i −0.0126953 + 0.0556216i
\(430\) −722223. 3.16427e6i −0.188365 0.825281i
\(431\) 58024.5 27943.1i 0.0150459 0.00724573i −0.426346 0.904560i \(-0.640199\pi\)
0.441392 + 0.897315i \(0.354485\pi\)
\(432\) −1.12830e6 543362.i −0.290881 0.140081i
\(433\) 908816. + 3.98178e6i 0.232947 + 1.02061i 0.947181 + 0.320699i \(0.103918\pi\)
−0.714235 + 0.699906i \(0.753225\pi\)
\(434\) 2.08927e6 0.532440
\(435\) −477757. + 1.43708e6i −0.121055 + 0.364132i
\(436\) −1.17822e6 −0.296831
\(437\) 1.39795e6 + 6.12480e6i 0.350176 + 1.53422i
\(438\) 5.62647e6 + 2.70956e6i 1.40136 + 0.674861i
\(439\) −4.11025e6 + 1.97939e6i −1.01790 + 0.490197i −0.866977 0.498348i \(-0.833940\pi\)
−0.150927 + 0.988545i \(0.548226\pi\)
\(440\) −56333.5 246813.i −0.0138719 0.0607767i
\(441\) −142609. + 624813.i −0.0349182 + 0.152987i
\(442\) 749690. + 361032.i 0.182527 + 0.0879002i
\(443\) −4.14168e6 5.19350e6i −1.00269 1.25733i −0.966144 0.258002i \(-0.916936\pi\)
−0.0365459 0.999332i \(-0.511636\pi\)
\(444\) 4.93234e6 + 6.18496e6i 1.18740 + 1.48895i
\(445\) −295168. + 142145.i −0.0706592 + 0.0340277i
\(446\) 7.54035e6 9.45530e6i 1.79496 2.25081i
\(447\) 6.43020e6 1.52214
\(448\) −4.98984e6 + 6.25706e6i −1.17460 + 1.47291i
\(449\) 567492. 2.48634e6i 0.132845 0.582030i −0.864059 0.503391i \(-0.832085\pi\)
0.996903 0.0786388i \(-0.0250574\pi\)
\(450\) −486313. + 2.13068e6i −0.113210 + 0.496005i
\(451\) 509404. 638772.i 0.117929 0.147878i
\(452\) 1.30631e6 0.300747
\(453\) 2.69226e6 3.37599e6i 0.616412 0.772957i
\(454\) −4.56697e6 + 2.19934e6i −1.03989 + 0.500786i
\(455\) −172504. 216313.i −0.0390634 0.0489839i
\(456\) −3.74860e6 4.70060e6i −0.844224 1.05862i
\(457\) −3.69261e6 1.77827e6i −0.827072 0.398297i −0.0280556 0.999606i \(-0.508932\pi\)
−0.799016 + 0.601310i \(0.794646\pi\)
\(458\) −1.28797e6 + 5.64298e6i −0.286908 + 1.25703i
\(459\) −607120. 2.65997e6i −0.134506 0.589311i
\(460\) 1.59194e6 766638.i 0.350778 0.168926i
\(461\) −1.90121e6 915575.i −0.416656 0.200651i 0.213797 0.976878i \(-0.431417\pi\)
−0.630454 + 0.776227i \(0.717131\pi\)
\(462\) −674319. 2.95438e6i −0.146981 0.643964i
\(463\) 1.07799e6 0.233702 0.116851 0.993149i \(-0.462720\pi\)
0.116851 + 0.993149i \(0.462720\pi\)
\(464\) −1.40948e6 + 1.45429e6i −0.303924 + 0.313586i
\(465\) −514648. −0.110377
\(466\) −2.12662e6 9.31735e6i −0.453655 1.98759i
\(467\) 4.83290e6 + 2.32740e6i 1.02545 + 0.493831i 0.869500 0.493933i \(-0.164441\pi\)
0.155952 + 0.987765i \(0.450156\pi\)
\(468\) 351984. 169507.i 0.0742862 0.0357744i
\(469\) 250170. + 1.09607e6i 0.0525174 + 0.230094i
\(470\) −480357. + 2.10458e6i −0.100304 + 0.439462i
\(471\) −8.62875e6 4.15539e6i −1.79224 0.863097i
\(472\) 3.17105e6 + 3.97637e6i 0.655161 + 0.821545i
\(473\) 1.54096e6 + 1.93230e6i 0.316693 + 0.397120i
\(474\) −5.74618e6 + 2.76722e6i −1.17472 + 0.565714i
\(475\) −5.08615e6 + 6.37783e6i −1.03432 + 1.29700i
\(476\) −6.76715e6 −1.36895
\(477\) 1.26757e6 1.58949e6i 0.255081 0.319861i
\(478\) −1.28158e6 + 5.61497e6i −0.256553 + 1.12403i
\(479\) −1.49032e6 + 6.52952e6i −0.296784 + 1.30030i 0.578101 + 0.815965i \(0.303794\pi\)
−0.874885 + 0.484331i \(0.839063\pi\)
\(480\) 1.56944e6 1.96802e6i 0.310916 0.389876i
\(481\) −942338. −0.185714
\(482\) 1.04262e6 1.30741e6i 0.204414 0.256327i
\(483\) 5.46227e6 2.63049e6i 1.06538 0.513061i
\(484\) −4.08511e6 5.12256e6i −0.792665 0.993971i
\(485\) −213274. 267437.i −0.0411702 0.0516258i
\(486\) −5.10567e6 2.45876e6i −0.980533 0.472200i
\(487\) −1.43583e6 + 6.29079e6i −0.274335 + 1.20194i 0.630504 + 0.776186i \(0.282848\pi\)
−0.904839 + 0.425754i \(0.860009\pi\)
\(488\) 30977.5 + 135721.i 0.00588840 + 0.0257988i
\(489\) 6.39874e6 3.08147e6i 1.21010 0.582755i
\(490\) 1.03859e6 + 500160.i 0.195414 + 0.0941064i
\(491\) 912364. + 3.99733e6i 0.170791 + 0.748283i 0.985675 + 0.168659i \(0.0539436\pi\)
−0.814884 + 0.579624i \(0.803199\pi\)
\(492\) −5.45725e6 −1.01639
\(493\) −4.39175e6 425369.i −0.813805 0.0788222i
\(494\) 2.49847e6 0.460635
\(495\) 44672.2 + 195722.i 0.00819454 + 0.0359026i
\(496\) −620085. 298617.i −0.113174 0.0545017i
\(497\) 9.92980e6 4.78194e6i 1.80322 0.868387i
\(498\) −3.19998e6 1.40200e7i −0.578195 2.53324i
\(499\) 725413. 3.17824e6i 0.130417 0.571394i −0.866919 0.498449i \(-0.833903\pi\)
0.997336 0.0729450i \(-0.0232397\pi\)
\(500\) 4.38361e6 + 2.11104e6i 0.784164 + 0.377634i
\(501\) 6.66434e6 + 8.35682e6i 1.18621 + 1.48747i
\(502\) 4.58682e6 + 5.75169e6i 0.812367 + 1.01868i
\(503\) 3.00700e6 1.44809e6i 0.529923 0.255197i −0.149736 0.988726i \(-0.547842\pi\)
0.679659 + 0.733529i \(0.262128\pi\)
\(504\) −972906. + 1.21999e6i −0.170606 + 0.213933i
\(505\) 1.49827e6 0.261434
\(506\) −1.43732e6 + 1.80235e6i −0.249562 + 0.312941i
\(507\) 1.46781e6 6.43088e6i 0.253600 1.11109i
\(508\) −2.90580e6 + 1.27311e7i −0.499581 + 2.18881i
\(509\) 1.11458e6 1.39764e6i 0.190686 0.239112i −0.677293 0.735713i \(-0.736847\pi\)
0.867979 + 0.496601i \(0.165419\pi\)
\(510\) 2.85606e6 0.486230
\(511\) 3.77200e6 4.72994e6i 0.639027 0.801315i
\(512\) 4.48629e6 2.16048e6i 0.756331 0.364230i
\(513\) −5.10781e6 6.40500e6i −0.856923 1.07455i
\(514\) −1.35346e6 1.69718e6i −0.225962 0.283348i
\(515\) 1.78089e6 + 857630.i 0.295882 + 0.142489i
\(516\) 3.67345e6 1.60944e7i 0.607365 2.66104i
\(517\) −365785. 1.60261e6i −0.0601865 0.263694i
\(518\) 1.18303e7 5.69718e6i 1.93719 0.932901i
\(519\) −8.88662e6 4.27957e6i −1.44817 0.697400i
\(520\) −44822.0 196378.i −0.00726914 0.0318482i
\(521\) −4.24220e6 −0.684694 −0.342347 0.939574i \(-0.611222\pi\)
−0.342347 + 0.939574i \(0.611222\pi\)
\(522\) −2.47022e6 + 2.54875e6i −0.396789 + 0.409403i
\(523\) 1.66827e6 0.266693 0.133347 0.991069i \(-0.457428\pi\)
0.133347 + 0.991069i \(0.457428\pi\)
\(524\) 294631. + 1.29086e6i 0.0468759 + 0.205377i
\(525\) 7.09273e6 + 3.41568e6i 1.12309 + 0.540852i
\(526\) −5.71491e6 + 2.75216e6i −0.900628 + 0.433719i
\(527\) −333657. 1.46185e6i −0.0523328 0.229285i
\(528\) −222132. + 973225.i −0.0346758 + 0.151925i
\(529\) 1.64362e6 + 791528.i 0.255366 + 0.122978i
\(530\) −2.27999e6 2.85901e6i −0.352568 0.442106i
\(531\) −2.51463e6 3.15324e6i −0.387023 0.485312i
\(532\) −1.83070e7 + 8.81619e6i −2.80439 + 1.35052i
\(533\) 405309. 508241.i 0.0617971 0.0774911i
\(534\) −2.85502e6 −0.433267
\(535\) −1.68163e6 + 2.10870e6i −0.254007 + 0.318515i
\(536\) −182132. + 797973.i −0.0273826 + 0.119971i
\(537\) −1.45885e6 + 6.39164e6i −0.218311 + 0.956481i
\(538\) 9.30641e6 1.16699e7i 1.38620 1.73824i
\(539\) −877804. −0.130144
\(540\) −1.43659e6 + 1.80143e6i −0.212006 + 0.265847i
\(541\) −4.23456e6 + 2.03926e6i −0.622036 + 0.299557i −0.718230 0.695806i \(-0.755047\pi\)
0.0961941 + 0.995363i \(0.469333\pi\)
\(542\) −2.65931e6 3.33468e6i −0.388841 0.487591i
\(543\) 2.18410e6 + 2.73877e6i 0.317886 + 0.398617i
\(544\) 6.60762e6 + 3.18206e6i 0.957300 + 0.461011i
\(545\) 107195. 469651.i 0.0154590 0.0677305i
\(546\) −536524. 2.35067e6i −0.0770208 0.337450i
\(547\) 1.04814e7 5.04757e6i 1.49779 0.721297i 0.507673 0.861550i \(-0.330506\pi\)
0.990116 + 0.140253i \(0.0447916\pi\)
\(548\) 2.44038e6 + 1.17522e6i 0.347141 + 0.167174i
\(549\) −24565.0 107626.i −0.00347846 0.0152401i
\(550\) −2.99340e6 −0.421947
\(551\) −1.24351e7 + 4.57080e6i −1.74490 + 0.641377i
\(552\) 4.41383e6 0.616549
\(553\) 1.37485e6 + 6.02363e6i 0.191181 + 0.837617i
\(554\) −4.88556e6 2.35276e6i −0.676302 0.325690i
\(555\) −2.91415e6 + 1.40338e6i −0.401587 + 0.193394i
\(556\) −1.41929e6 6.21834e6i −0.194709 0.853075i
\(557\) 426437. 1.86834e6i 0.0582394 0.255164i −0.937424 0.348189i \(-0.886797\pi\)
0.995664 + 0.0930255i \(0.0296538\pi\)
\(558\) −1.08674e6 523347.i −0.147755 0.0711549i
\(559\) 1.22607e6 + 1.53744e6i 0.165953 + 0.208099i
\(560\) −791817. 992907.i −0.106698 0.133795i
\(561\) −1.95947e6 + 943631.i −0.262864 + 0.126589i
\(562\) 989343. 1.24060e6i 0.132131 0.165688i
\(563\) 3.69493e6 0.491287 0.245643 0.969360i \(-0.421001\pi\)
0.245643 + 0.969360i \(0.421001\pi\)
\(564\) −6.84582e6 + 8.58439e6i −0.906208 + 1.13635i
\(565\) −118849. + 520712.i −0.0156630 + 0.0686241i
\(566\) −5.08743e6 + 2.22895e7i −0.667509 + 2.92455i
\(567\) −7.02642e6 + 8.81085e6i −0.917859 + 1.15096i
\(568\) 8.02384e6 1.04355
\(569\) −2.78816e6 + 3.49624e6i −0.361025 + 0.452710i −0.928860 0.370432i \(-0.879210\pi\)
0.567835 + 0.823142i \(0.307781\pi\)
\(570\) 7.72644e6 3.72086e6i 0.996075 0.479685i
\(571\) 123249. + 154549.i 0.0158195 + 0.0198370i 0.789678 0.613521i \(-0.210247\pi\)
−0.773859 + 0.633358i \(0.781676\pi\)
\(572\) 333628. + 418356.i 0.0426356 + 0.0534634i
\(573\) −7369.90 3549.16i −0.000937724 0.000451584i
\(574\) −2.01562e6 + 8.83099e6i −0.255345 + 1.11874i
\(575\) −1.33262e6 5.83858e6i −0.168088 0.736440i
\(576\) 4.16283e6 2.00471e6i 0.522796 0.251765i
\(577\) 4.74809e6 + 2.28656e6i 0.593717 + 0.285919i 0.706514 0.707699i \(-0.250267\pi\)
−0.112797 + 0.993618i \(0.535981\pi\)
\(578\) −918241. 4.02308e6i −0.114324 0.500886i
\(579\) 1.22420e7 1.51759
\(580\) 2.03157e6 + 3.12365e6i 0.250762 + 0.385561i
\(581\) −1.39313e7 −1.71219
\(582\) −663327. 2.90623e6i −0.0811747 0.355649i
\(583\) 2.50885e6 + 1.20820e6i 0.305705 + 0.147220i
\(584\) 3.96829e6 1.91103e6i 0.481472 0.231865i
\(585\) 35543.6 + 155727.i 0.00429410 + 0.0188137i
\(586\) 3.05408e6 1.33808e7i 0.367397 1.60967i
\(587\) 1.26387e7 + 6.08649e6i 1.51394 + 0.729074i 0.992273 0.124077i \(-0.0395969\pi\)
0.521665 + 0.853151i \(0.325311\pi\)
\(588\) 3.65568e6 + 4.58408e6i 0.436039 + 0.546775i
\(589\) −2.80712e6 3.52002e6i −0.333405 0.418077i
\(590\) −6.53601e6 + 3.14757e6i −0.773005 + 0.372260i
\(591\) −5.89668e6 + 7.39421e6i −0.694447 + 0.870809i
\(592\) −4.32547e6 −0.507258
\(593\) −2.67910e6 + 3.35948e6i −0.312861 + 0.392316i −0.913255 0.407389i \(-0.866439\pi\)
0.600393 + 0.799705i \(0.295011\pi\)
\(594\) 668932. 2.93078e6i 0.0777886 0.340814i
\(595\) 615679. 2.69747e6i 0.0712955 0.312366i
\(596\) 9.86445e6 1.23696e7i 1.13751 1.42640i
\(597\) 3.24803e6 0.372979
\(598\) −1.14361e6 + 1.43404e6i −0.130775 + 0.163987i
\(599\) −547431. + 263629.i −0.0623394 + 0.0300211i −0.464794 0.885419i \(-0.653872\pi\)
0.402454 + 0.915440i \(0.368157\pi\)
\(600\) 3.57342e6 + 4.48093e6i 0.405234 + 0.508148i
\(601\) 1.02547e7 + 1.28590e7i 1.15807 + 1.45218i 0.868958 + 0.494886i \(0.164790\pi\)
0.289117 + 0.957294i \(0.406638\pi\)
\(602\) −2.46874e7 1.18888e7i −2.77642 1.33705i
\(603\) 144430. 632789.i 0.0161757 0.0708705i
\(604\) −2.36416e6 1.03581e7i −0.263685 1.15528i
\(605\) 2.41358e6 1.16232e6i 0.268085 0.129103i
\(606\) 1.17639e7 + 5.66517e6i 1.30127 + 0.626660i
\(607\) −3.14749e6 1.37900e7i −0.346731 1.51913i −0.784552 0.620064i \(-0.787107\pi\)
0.437821 0.899062i \(-0.355750\pi\)
\(608\) 2.20210e7 2.41590
\(609\) 6.97072e6 + 1.07179e7i 0.761613 + 1.17103i
\(610\) −198566. −0.0216063
\(611\) −291038. 1.27512e6i −0.0315389 0.138181i
\(612\) 3.51996e6 + 1.69512e6i 0.379891 + 0.182946i
\(613\) −3.52185e6 + 1.69604e6i −0.378547 + 0.182299i −0.613475 0.789714i \(-0.710229\pi\)
0.234928 + 0.972013i \(0.424515\pi\)
\(614\) −3.16334e6 1.38595e7i −0.338630 1.48363i
\(615\) 496504. 2.17533e6i 0.0529340 0.231919i
\(616\) −1.92562e6 927332.i −0.204465 0.0984653i
\(617\) −3.79262e6 4.75579e6i −0.401075 0.502933i 0.539750 0.841826i \(-0.318519\pi\)
−0.940825 + 0.338893i \(0.889948\pi\)
\(618\) 1.07400e7 + 1.34676e7i 1.13119 + 1.41846i
\(619\) −5.24823e6 + 2.52742e6i −0.550537 + 0.265125i −0.688406 0.725326i \(-0.741689\pi\)
0.137869 + 0.990451i \(0.455975\pi\)
\(620\) −789511. + 990016.i −0.0824858 + 0.103434i
\(621\) 6.01424e6 0.625823
\(622\) −3.46321e6 + 4.34273e6i −0.358924 + 0.450077i
\(623\) −615454. + 2.69648e6i −0.0635295 + 0.278341i
\(624\) −176740. + 774350.i −0.0181708 + 0.0796115i
\(625\) 4.19303e6 5.25789e6i 0.429366 0.538408i
\(626\) −1.02427e6 −0.104467
\(627\) −4.07155e6 + 5.10557e6i −0.413610 + 0.518651i
\(628\) −2.12308e7 + 1.02242e7i −2.14817 + 1.03450i
\(629\) −5.87558e6 7.36774e6i −0.592139 0.742519i
\(630\) −1.38772e6 1.74014e6i −0.139299 0.174676i
\(631\) 9.46245e6 + 4.55688e6i 0.946085 + 0.455611i 0.842312 0.538990i \(-0.181194\pi\)
0.103773 + 0.994601i \(0.466908\pi\)
\(632\) −1.00094e6 + 4.38540e6i −0.0996817 + 0.436734i
\(633\) −3.81163e6 1.66998e7i −0.378095 1.65654i
\(634\) 3.63206e6 1.74911e6i 0.358864 0.172820i
\(635\) −4.81041e6 2.31657e6i −0.473421 0.227988i
\(636\) −4.13882e6 1.81334e7i −0.405727 1.77761i
\(637\) −698428. −0.0681982
\(638\) −4.15633e6 2.52178e6i −0.404258 0.245276i
\(639\) −6.36286e6 −0.616454
\(640\) −866177. 3.79497e6i −0.0835904 0.366234i
\(641\) −2.02375e6 974588.i −0.194542 0.0936863i 0.334077 0.942546i \(-0.391575\pi\)
−0.528618 + 0.848860i \(0.677290\pi\)
\(642\) −2.11768e7 + 1.01982e7i −2.02779 + 0.976533i
\(643\) −648191. 2.83991e6i −0.0618266 0.270880i 0.934561 0.355803i \(-0.115793\pi\)
−0.996388 + 0.0849232i \(0.972936\pi\)
\(644\) 3.31935e6 1.45430e7i 0.315383 1.38179i
\(645\) 6.08122e6 + 2.92856e6i 0.575561 + 0.277176i
\(646\) 1.55782e7 + 1.95345e7i 1.46871 + 1.84171i
\(647\) −1.01696e7 1.27523e7i −0.955086 1.19764i −0.980211 0.197956i \(-0.936570\pi\)
0.0251249 0.999684i \(-0.492002\pi\)
\(648\) −7.39206e6 + 3.55983e6i −0.691557 + 0.333036i
\(649\) 3.44424e6 4.31894e6i 0.320983 0.402500i
\(650\) −2.38171e6 −0.221109
\(651\) −2.70897e6 + 3.39695e6i −0.250526 + 0.314149i
\(652\) 3.88843e6 1.70363e7i 0.358225 1.56948i
\(653\) −85410.7 + 374209.i −0.00783843 + 0.0343424i −0.978696 0.205315i \(-0.934178\pi\)
0.970857 + 0.239658i \(0.0770352\pi\)
\(654\) 2.61747e6 3.28220e6i 0.239297 0.300069i
\(655\) −541359. −0.0493040
\(656\) 1.86043e6 2.33290e6i 0.168792 0.211659i
\(657\) −3.14683e6 + 1.51544e6i −0.284420 + 0.136970i
\(658\) 1.13629e7 + 1.42486e7i 1.02311 + 1.28294i
\(659\) −1.27906e7 1.60389e7i −1.14730 1.43867i −0.879948 0.475071i \(-0.842422\pi\)
−0.267353 0.963599i \(-0.586149\pi\)
\(660\) 1.65477e6 + 796896.i 0.147869 + 0.0712101i
\(661\) 179594. 786851.i 0.0159878 0.0700469i −0.966305 0.257401i \(-0.917134\pi\)
0.982292 + 0.187354i \(0.0599911\pi\)
\(662\) 5.21995e6 + 2.28701e7i 0.462936 + 2.02826i
\(663\) −1.55906e6 + 750803.i −0.137746 + 0.0663350i
\(664\) −9.13807e6 4.40066e6i −0.804330 0.387345i
\(665\) −1.84866e6 8.09950e6i −0.162107 0.710238i
\(666\) −7.58069e6 −0.662252
\(667\) 3.06834e6 9.22951e6i 0.267048 0.803275i
\(668\) 2.62995e7 2.28037
\(669\) 5.59646e6 + 2.45197e7i 0.483446 + 2.11812i
\(670\) −1.05185e6 506546.i −0.0905249 0.0435945i
\(671\) 136231. 65605.5i 0.0116807 0.00562514i
\(672\) −4.72882e6 2.07183e7i −0.403952 1.76983i
\(673\) −4.71472e6 + 2.06565e7i −0.401253 + 1.75800i 0.221084 + 0.975255i \(0.429041\pi\)
−0.622337 + 0.782750i \(0.713816\pi\)
\(674\) 1.50616e6 + 725328.i 0.127709 + 0.0615013i
\(675\) 4.86911e6 + 6.10568e6i 0.411330 + 0.515792i
\(676\) −1.01192e7 1.26891e7i −0.851686 1.06798i
\(677\) 1.75568e7 8.45491e6i 1.47222 0.708986i 0.485932 0.873997i \(-0.338480\pi\)
0.986292 + 0.165011i \(0.0527660\pi\)
\(678\) −2.90205e6 + 3.63905e6i −0.242454 + 0.304028i
\(679\) −2.88784e6 −0.240380
\(680\) 1.25593e6 1.57488e6i 0.104158 0.130610i
\(681\) 2.34569e6 1.02771e7i 0.193822 0.849189i
\(682\) 367627. 1.61068e6i 0.0302654 0.132602i
\(683\) −1.22957e7 + 1.54183e7i −1.00856 + 1.26469i −0.0444945 + 0.999010i \(0.514168\pi\)
−0.964061 + 0.265680i \(0.914404\pi\)
\(684\) 1.17309e7 0.958715
\(685\) −690486. + 865842.i −0.0562248 + 0.0705037i
\(686\) −1.17876e7 + 5.67663e6i −0.956350 + 0.460554i
\(687\) −7.50492e6 9.41087e6i −0.606672 0.760743i
\(688\) 5.62784e6 + 7.05709e6i 0.453284 + 0.568401i
\(689\) 1.99617e6 + 961306.i 0.160195 + 0.0771461i
\(690\) −1.40093e6 + 6.13786e6i −0.112019 + 0.490788i
\(691\) −2.39614e6 1.04982e7i −0.190905 0.836410i −0.976128 0.217197i \(-0.930309\pi\)
0.785223 0.619214i \(-0.212548\pi\)
\(692\) −2.18653e7 + 1.05298e7i −1.73576 + 0.835899i
\(693\) 1.52701e6 + 735370.i 0.120784 + 0.0581665i
\(694\) 7.25665e6 + 3.17935e7i 0.571923 + 2.50576i
\(695\) 2.60783e6 0.204794
\(696\) 1.18675e6 + 9.23218e6i 0.0928618 + 0.722405i
\(697\) 6.50087e6 0.506861
\(698\) 444872. + 1.94911e6i 0.0345618 + 0.151425i
\(699\) 1.79065e7 + 8.62331e6i 1.38617 + 0.667546i
\(700\) 1.74515e7 8.40419e6i 1.34613 0.648263i
\(701\) 737571. + 3.23151e6i 0.0566903 + 0.248376i 0.995331 0.0965200i \(-0.0307712\pi\)
−0.938641 + 0.344896i \(0.887914\pi\)
\(702\) 532239. 2.33189e6i 0.0407628 0.178593i
\(703\) −2.54937e7 1.22771e7i −1.94556 0.936933i
\(704\) 3.94574e6 + 4.94780e6i 0.300052 + 0.376253i
\(705\) −2.79900e6 3.50984e6i −0.212095 0.265959i
\(706\) 1.08941e7 5.24632e6i 0.822583 0.396135i
\(707\) 7.88652e6 9.88938e6i 0.593385 0.744082i
\(708\) −3.68982e7 −2.76645
\(709\) 1.47098e7 1.84455e7i 1.09898 1.37808i 0.180051 0.983657i \(-0.442374\pi\)
0.918930 0.394421i \(-0.129055\pi\)
\(710\) −2.54673e6 + 1.11579e7i −0.189599 + 0.830688i
\(711\) 793740. 3.47760e6i 0.0588850 0.257992i
\(712\) −1.25547e6 + 1.57431e6i −0.0928123 + 0.116383i
\(713\) 3.30527e6 0.243491
\(714\) 1.50336e7 1.88515e7i 1.10361 1.38389i
\(715\) −197116. + 94925.8i −0.0144197 + 0.00694415i
\(716\) 1.00575e7 + 1.26116e7i 0.733171 + 0.919367i
\(717\) −7.46767e6 9.36417e6i −0.542485 0.680254i
\(718\) −9.77380e6 4.70681e6i −0.707542 0.340734i
\(719\) −3.39466e6 + 1.48730e7i −0.244892 + 1.07294i 0.691608 + 0.722273i \(0.256903\pi\)
−0.936500 + 0.350668i \(0.885954\pi\)
\(720\) 163150. + 714809.i 0.0117289 + 0.0513876i
\(721\) 1.50350e7 7.24045e6i 1.07712 0.518713i
\(722\) 4.80349e7 + 2.31324e7i 3.42936 + 1.65149i
\(723\) 773838. + 3.39041e6i 0.0550560 + 0.241216i
\(724\) 8.61909e6 0.611104
\(725\) 1.18540e7 4.35720e6i 0.837564 0.307866i
\(726\) 2.33454e7 1.64384
\(727\) −3.25352e6 1.42546e7i −0.228306 1.00027i −0.951021 0.309128i \(-0.899963\pi\)
0.722714 0.691147i \(-0.242894\pi\)
\(728\) −1.53213e6 737835.i −0.107144 0.0515978i
\(729\) −5.31645e6 + 2.56027e6i −0.370512 + 0.178429i
\(730\) 1.39796e6 + 6.12485e6i 0.0970927 + 0.425391i
\(731\) −4.37594e6 + 1.91722e7i −0.302885 + 1.32703i
\(732\) −909951. 438209.i −0.0627683 0.0302276i
\(733\) −3.28929e6 4.12464e6i −0.226122 0.283548i 0.655809 0.754927i \(-0.272328\pi\)
−0.881931 + 0.471379i \(0.843756\pi\)
\(734\) 6.40545e6 + 8.03217e6i 0.438843 + 0.550292i
\(735\) −2.15986e6 + 1.04014e6i −0.147471 + 0.0710185i
\(736\) −1.00796e7 + 1.26394e7i −0.685879 + 0.860065i
\(737\) 889010. 0.0602890
\(738\) 3.26053e6 4.08857e6i 0.220367 0.276332i
\(739\) 1.98069e6 8.67797e6i 0.133415 0.584530i −0.863381 0.504552i \(-0.831658\pi\)
0.996797 0.0799783i \(-0.0254851\pi\)
\(740\) −1.77089e6 + 7.75878e6i −0.118881 + 0.520852i
\(741\) −3.23955e6 + 4.06226e6i −0.216740 + 0.271783i
\(742\) −3.08723e7 −2.05854
\(743\) −1.67192e7 + 2.09653e7i −1.11108 + 1.39325i −0.200609 + 0.979671i \(0.564292\pi\)
−0.910469 + 0.413577i \(0.864279\pi\)
\(744\) −2.84995e6 + 1.37246e6i −0.188758 + 0.0909009i
\(745\) 4.03321e6 + 5.05748e6i 0.266232 + 0.333844i
\(746\) −2.84796e7 3.57123e7i −1.87364 2.34947i
\(747\) 7.24644e6 + 3.48970e6i 0.475142 + 0.228816i
\(748\) −1.19074e6 + 5.21699e6i −0.0778152 + 0.340931i
\(749\) 5.06685e6 + 2.21993e7i 0.330015 + 1.44589i
\(750\) −1.56192e7 + 7.52182e6i −1.01393 + 0.488281i
\(751\) −5.82051e6 2.80301e6i −0.376584 0.181353i 0.236011 0.971750i \(-0.424160\pi\)
−0.612595 + 0.790397i \(0.709874\pi\)
\(752\) −1.33591e6 5.85299e6i −0.0861453 0.377427i
\(753\) −1.52990e7 −0.983275
\(754\) −3.30700e6 2.00646e6i −0.211839 0.128529i
\(755\) 4.34394e6 0.277343
\(756\) 4.32852e6 + 1.89645e7i 0.275445 + 1.20680i
\(757\) −2.94578e6 1.41861e6i −0.186836 0.0899756i 0.338127 0.941100i \(-0.390207\pi\)
−0.524963 + 0.851125i \(0.675921\pi\)
\(758\) −1.91582e7 + 9.22612e6i −1.21111 + 0.583239i
\(759\) −1.06678e6 4.67389e6i −0.0672159 0.294492i
\(760\) 1.34588e6 5.89671e6i 0.0845228 0.370319i
\(761\) −1.58533e7 7.63455e6i −0.992334 0.477883i −0.134004 0.990981i \(-0.542784\pi\)
−0.858330 + 0.513098i \(0.828498\pi\)
\(762\) −2.90102e7 3.63777e7i −1.80994 2.26959i
\(763\) −2.53570e6 3.17967e6i −0.157684 0.197729i
\(764\) −18133.5 + 8732.61i −0.00112395 + 0.000541266i
\(765\) −995944. + 1.24887e6i −0.0615292 + 0.0771552i
\(766\) 2.31495e7 1.42551
\(767\) 2.74042e6 3.43638e6i 0.168201 0.210918i
\(768\) 838530. 3.67384e6i 0.0512998 0.224759i