Properties

Label 29.3.f.a.27.3
Level $29$
Weight $3$
Character 29.27
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 27.3
Character \(\chi\) \(=\) 29.27
Dual form 29.3.f.a.14.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0361447 + 0.320793i) q^{2} +(-2.40292 + 3.82423i) q^{3} +(3.79811 + 0.866894i) q^{4} +(1.11585 - 0.889864i) q^{5} +(-1.13993 - 0.909068i) q^{6} +(-2.06382 - 9.04217i) q^{7} +(-0.841863 + 2.40591i) q^{8} +(-4.94574 - 10.2699i) q^{9} +O(q^{10})\) \(q+(-0.0361447 + 0.320793i) q^{2} +(-2.40292 + 3.82423i) q^{3} +(3.79811 + 0.866894i) q^{4} +(1.11585 - 0.889864i) q^{5} +(-1.13993 - 0.909068i) q^{6} +(-2.06382 - 9.04217i) q^{7} +(-0.841863 + 2.40591i) q^{8} +(-4.94574 - 10.2699i) q^{9} +(0.245130 + 0.390122i) q^{10} +(3.02175 + 8.63567i) q^{11} +(-12.4418 + 12.4418i) q^{12} +(7.25544 - 15.0661i) q^{13} +(2.97526 - 0.335232i) q^{14} +(0.721732 + 6.40555i) q^{15} +(13.2986 + 6.40425i) q^{16} +(-13.4875 - 13.4875i) q^{17} +(3.47329 - 1.21536i) q^{18} +(-6.13512 + 3.85495i) q^{19} +(5.00955 - 2.41247i) q^{20} +(39.5385 + 13.8351i) q^{21} +(-2.87949 + 0.657224i) q^{22} +(-26.9938 + 33.8491i) q^{23} +(-7.17780 - 9.00068i) q^{24} +(-5.10975 + 22.3873i) q^{25} +(4.57085 + 2.87206i) q^{26} +(10.7659 + 1.21302i) q^{27} -36.1322i q^{28} +(8.81918 - 27.6265i) q^{29} -2.08095 q^{30} +(2.27501 - 20.1913i) q^{31} +(-7.95959 + 12.6676i) q^{32} +(-40.2858 - 9.19497i) q^{33} +(4.81419 - 3.83919i) q^{34} +(-10.3492 - 8.25322i) q^{35} +(-9.88152 - 43.2937i) q^{36} +(5.54261 - 15.8399i) q^{37} +(-1.01489 - 2.10744i) q^{38} +(40.1818 + 63.9490i) q^{39} +(1.20153 + 3.43378i) q^{40} +(-11.0137 + 11.0137i) q^{41} +(-5.86733 + 12.1836i) q^{42} +(-1.43070 + 0.161201i) q^{43} +(3.99073 + 35.4187i) q^{44} +(-14.6576 - 7.05871i) q^{45} +(-9.88290 - 9.88290i) q^{46} +(52.6538 - 18.4244i) q^{47} +(-56.4467 + 35.4678i) q^{48} +(-33.3540 + 16.0624i) q^{49} +(-6.99700 - 2.44836i) q^{50} +(83.9885 - 19.1698i) q^{51} +(40.6176 - 50.9329i) q^{52} +(26.2579 + 32.9263i) q^{53} +(-0.778260 + 3.40978i) q^{54} +(11.0564 + 6.94719i) q^{55} +(23.4920 + 2.64692i) q^{56} -32.7252i q^{57} +(8.54363 + 3.82769i) q^{58} -40.0225 q^{59} +(-2.81171 + 24.9547i) q^{60} +(-31.5754 + 50.2519i) q^{61} +(6.39500 + 1.45962i) q^{62} +(-82.6553 + 65.9154i) q^{63} +(42.3842 + 33.8003i) q^{64} +(-5.31074 - 23.2679i) q^{65} +(4.40581 - 12.5911i) q^{66} +(27.0064 + 56.0793i) q^{67} +(-39.5347 - 62.9191i) q^{68} +(-64.5829 - 184.567i) q^{69} +(3.02165 - 3.02165i) q^{70} +(16.5027 - 34.2683i) q^{71} +(28.8721 - 3.25311i) q^{72} +(10.1706 + 90.2664i) q^{73} +(4.88099 + 2.35056i) q^{74} +(-73.3358 - 73.3358i) q^{75} +(-26.6437 + 9.32302i) q^{76} +(71.8488 - 45.1456i) q^{77} +(-21.9668 + 10.5787i) q^{78} +(-68.6869 - 24.0346i) q^{79} +(20.5381 - 4.68770i) q^{80} +(33.4546 - 41.9508i) q^{81} +(-3.13504 - 3.93121i) q^{82} +(14.4041 - 63.1083i) q^{83} +(138.178 + 86.8230i) q^{84} +(-27.0520 - 3.04803i) q^{85} -0.464786i q^{86} +(84.4582 + 100.111i) q^{87} -23.3205 q^{88} +(-3.18582 + 28.2750i) q^{89} +(2.79418 - 4.44691i) q^{90} +(-151.204 - 34.5113i) q^{91} +(-131.869 + 105.162i) q^{92} +(71.7494 + 57.2182i) q^{93} +(4.00726 + 17.5569i) q^{94} +(-3.41551 + 9.76097i) q^{95} +(-29.3176 - 60.8786i) q^{96} +(59.0040 + 93.9044i) q^{97} +(-3.94715 - 11.2803i) q^{98} +(73.7429 - 73.7429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{15}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0361447 + 0.320793i −0.0180724 + 0.160397i −0.999507 0.0314009i \(-0.990003\pi\)
0.981434 + 0.191798i \(0.0614317\pi\)
\(3\) −2.40292 + 3.82423i −0.800974 + 1.27474i 0.156917 + 0.987612i \(0.449844\pi\)
−0.957891 + 0.287131i \(0.907298\pi\)
\(4\) 3.79811 + 0.866894i 0.949527 + 0.216723i
\(5\) 1.11585 0.889864i 0.223171 0.177973i −0.505522 0.862814i \(-0.668700\pi\)
0.728692 + 0.684841i \(0.240128\pi\)
\(6\) −1.13993 0.909068i −0.189989 0.151511i
\(7\) −2.06382 9.04217i −0.294831 1.29174i −0.877715 0.479183i \(-0.840933\pi\)
0.582884 0.812555i \(-0.301924\pi\)
\(8\) −0.841863 + 2.40591i −0.105233 + 0.300738i
\(9\) −4.94574 10.2699i −0.549526 1.14110i
\(10\) 0.245130 + 0.390122i 0.0245130 + 0.0390122i
\(11\) 3.02175 + 8.63567i 0.274705 + 0.785061i 0.995744 + 0.0921662i \(0.0293791\pi\)
−0.721039 + 0.692894i \(0.756335\pi\)
\(12\) −12.4418 + 12.4418i −1.03681 + 1.03681i
\(13\) 7.25544 15.0661i 0.558110 1.15893i −0.410848 0.911704i \(-0.634767\pi\)
0.968958 0.247224i \(-0.0795185\pi\)
\(14\) 2.97526 0.335232i 0.212519 0.0239451i
\(15\) 0.721732 + 6.40555i 0.0481155 + 0.427037i
\(16\) 13.2986 + 6.40425i 0.831160 + 0.400265i
\(17\) −13.4875 13.4875i −0.793380 0.793380i 0.188662 0.982042i \(-0.439585\pi\)
−0.982042 + 0.188662i \(0.939585\pi\)
\(18\) 3.47329 1.21536i 0.192960 0.0675198i
\(19\) −6.13512 + 3.85495i −0.322901 + 0.202892i −0.683721 0.729743i \(-0.739640\pi\)
0.360820 + 0.932635i \(0.382497\pi\)
\(20\) 5.00955 2.41247i 0.250478 0.120624i
\(21\) 39.5385 + 13.8351i 1.88279 + 0.658815i
\(22\) −2.87949 + 0.657224i −0.130886 + 0.0298738i
\(23\) −26.9938 + 33.8491i −1.17364 + 1.47170i −0.322654 + 0.946517i \(0.604575\pi\)
−0.850988 + 0.525184i \(0.823996\pi\)
\(24\) −7.17780 9.00068i −0.299075 0.375028i
\(25\) −5.10975 + 22.3873i −0.204390 + 0.895491i
\(26\) 4.57085 + 2.87206i 0.175802 + 0.110464i
\(27\) 10.7659 + 1.21302i 0.398736 + 0.0449268i
\(28\) 36.1322i 1.29044i
\(29\) 8.81918 27.6265i 0.304110 0.952637i
\(30\) −2.08095 −0.0693649
\(31\) 2.27501 20.1913i 0.0733874 0.651331i −0.902138 0.431447i \(-0.858003\pi\)
0.975526 0.219885i \(-0.0705681\pi\)
\(32\) −7.95959 + 12.6676i −0.248737 + 0.395863i
\(33\) −40.2858 9.19497i −1.22078 0.278635i
\(34\) 4.81419 3.83919i 0.141594 0.112917i
\(35\) −10.3492 8.25322i −0.295692 0.235806i
\(36\) −9.88152 43.2937i −0.274487 1.20260i
\(37\) 5.54261 15.8399i 0.149800 0.428104i −0.844392 0.535726i \(-0.820038\pi\)
0.994192 + 0.107622i \(0.0343236\pi\)
\(38\) −1.01489 2.10744i −0.0267076 0.0554590i
\(39\) 40.1818 + 63.9490i 1.03030 + 1.63972i
\(40\) 1.20153 + 3.43378i 0.0300383 + 0.0858445i
\(41\) −11.0137 + 11.0137i −0.268627 + 0.268627i −0.828547 0.559920i \(-0.810832\pi\)
0.559920 + 0.828547i \(0.310832\pi\)
\(42\) −5.86733 + 12.1836i −0.139698 + 0.290086i
\(43\) −1.43070 + 0.161201i −0.0332721 + 0.00374887i −0.128585 0.991699i \(-0.541043\pi\)
0.0953127 + 0.995447i \(0.469615\pi\)
\(44\) 3.99073 + 35.4187i 0.0906985 + 0.804971i
\(45\) −14.6576 7.05871i −0.325723 0.156860i
\(46\) −9.88290 9.88290i −0.214846 0.214846i
\(47\) 52.6538 18.4244i 1.12029 0.392008i 0.294314 0.955709i \(-0.404909\pi\)
0.825979 + 0.563701i \(0.190623\pi\)
\(48\) −56.4467 + 35.4678i −1.17597 + 0.738913i
\(49\) −33.3540 + 16.0624i −0.680693 + 0.327805i
\(50\) −6.99700 2.44836i −0.139940 0.0489671i
\(51\) 83.9885 19.1698i 1.64683 0.375879i
\(52\) 40.6176 50.9329i 0.781108 0.979479i
\(53\) 26.2579 + 32.9263i 0.495432 + 0.621252i 0.965192 0.261542i \(-0.0842311\pi\)
−0.469760 + 0.882794i \(0.655660\pi\)
\(54\) −0.778260 + 3.40978i −0.0144122 + 0.0631441i
\(55\) 11.0564 + 6.94719i 0.201025 + 0.126313i
\(56\) 23.4920 + 2.64692i 0.419501 + 0.0472664i
\(57\) 32.7252i 0.574127i
\(58\) 8.54363 + 3.82769i 0.147304 + 0.0659946i
\(59\) −40.0225 −0.678348 −0.339174 0.940724i \(-0.610147\pi\)
−0.339174 + 0.940724i \(0.610147\pi\)
\(60\) −2.81171 + 24.9547i −0.0468619 + 0.415911i
\(61\) −31.5754 + 50.2519i −0.517629 + 0.823802i −0.998598 0.0529356i \(-0.983142\pi\)
0.480969 + 0.876738i \(0.340285\pi\)
\(62\) 6.39500 + 1.45962i 0.103145 + 0.0235422i
\(63\) −82.6553 + 65.9154i −1.31199 + 1.04628i
\(64\) 42.3842 + 33.8003i 0.662253 + 0.528129i
\(65\) −5.31074 23.2679i −0.0817037 0.357967i
\(66\) 4.40581 12.5911i 0.0667546 0.190774i
\(67\) 27.0064 + 56.0793i 0.403080 + 0.837004i 0.999413 + 0.0342668i \(0.0109096\pi\)
−0.596333 + 0.802737i \(0.703376\pi\)
\(68\) −39.5347 62.9191i −0.581392 0.925280i
\(69\) −64.5829 184.567i −0.935984 2.67489i
\(70\) 3.02165 3.02165i 0.0431664 0.0431664i
\(71\) 16.5027 34.2683i 0.232433 0.482652i −0.751831 0.659356i \(-0.770829\pi\)
0.984264 + 0.176704i \(0.0565434\pi\)
\(72\) 28.8721 3.25311i 0.401002 0.0451820i
\(73\) 10.1706 + 90.2664i 0.139323 + 1.23653i 0.847617 + 0.530609i \(0.178037\pi\)
−0.708294 + 0.705918i \(0.750535\pi\)
\(74\) 4.88099 + 2.35056i 0.0659593 + 0.0317643i
\(75\) −73.3358 73.3358i −0.977810 0.977810i
\(76\) −26.6437 + 9.32302i −0.350575 + 0.122671i
\(77\) 71.8488 45.1456i 0.933101 0.586306i
\(78\) −21.9668 + 10.5787i −0.281626 + 0.135624i
\(79\) −68.6869 24.0346i −0.869454 0.304235i −0.141564 0.989929i \(-0.545213\pi\)
−0.727890 + 0.685694i \(0.759499\pi\)
\(80\) 20.5381 4.68770i 0.256727 0.0585962i
\(81\) 33.4546 41.9508i 0.413020 0.517911i
\(82\) −3.13504 3.93121i −0.0382321 0.0479416i
\(83\) 14.4041 63.1083i 0.173543 0.760341i −0.810978 0.585076i \(-0.801065\pi\)
0.984521 0.175265i \(-0.0560782\pi\)
\(84\) 138.178 + 86.8230i 1.64498 + 1.03361i
\(85\) −27.0520 3.04803i −0.318259 0.0358592i
\(86\) 0.464786i 0.00540449i
\(87\) 84.4582 + 100.111i 0.970784 + 1.15070i
\(88\) −23.3205 −0.265006
\(89\) −3.18582 + 28.2750i −0.0357958 + 0.317696i 0.963036 + 0.269373i \(0.0868164\pi\)
−0.998832 + 0.0483234i \(0.984612\pi\)
\(90\) 2.79418 4.44691i 0.0310465 0.0494101i
\(91\) −151.204 34.5113i −1.66158 0.379245i
\(92\) −131.869 + 105.162i −1.43336 + 1.14306i
\(93\) 71.7494 + 57.2182i 0.771499 + 0.615250i
\(94\) 4.00726 + 17.5569i 0.0426304 + 0.186776i
\(95\) −3.41551 + 9.76097i −0.0359528 + 0.102747i
\(96\) −29.3176 60.8786i −0.305392 0.634152i
\(97\) 59.0040 + 93.9044i 0.608289 + 0.968086i 0.998870 + 0.0475179i \(0.0151311\pi\)
−0.390581 + 0.920568i \(0.627726\pi\)
\(98\) −3.94715 11.2803i −0.0402770 0.115105i
\(99\) 73.7429 73.7429i 0.744878 0.744878i
\(100\) −38.8148 + 80.5997i −0.388148 + 0.805997i
\(101\) 81.6300 9.19750i 0.808218 0.0910643i 0.301821 0.953365i \(-0.402406\pi\)
0.506397 + 0.862300i \(0.330977\pi\)
\(102\) 3.11381 + 27.6358i 0.0305276 + 0.270940i
\(103\) −33.0306 15.9067i −0.320686 0.154434i 0.266614 0.963803i \(-0.414095\pi\)
−0.587300 + 0.809369i \(0.699809\pi\)
\(104\) 30.1395 + 30.1395i 0.289802 + 0.289802i
\(105\) 56.4306 19.7459i 0.537434 0.188056i
\(106\) −11.5116 + 7.23324i −0.108600 + 0.0682381i
\(107\) 58.0912 27.9752i 0.542908 0.261451i −0.142268 0.989828i \(-0.545439\pi\)
0.685176 + 0.728377i \(0.259725\pi\)
\(108\) 39.8384 + 13.9401i 0.368874 + 0.129075i
\(109\) 47.8026 10.9106i 0.438556 0.100098i 0.00245858 0.999997i \(-0.499217\pi\)
0.436098 + 0.899899i \(0.356360\pi\)
\(110\) −2.62825 + 3.29572i −0.0238931 + 0.0299610i
\(111\) 47.2568 + 59.2581i 0.425737 + 0.533857i
\(112\) 30.4625 133.465i 0.271987 1.19165i
\(113\) −168.394 105.809i −1.49021 0.936361i −0.997820 0.0659868i \(-0.978980\pi\)
−0.492390 0.870375i \(-0.663877\pi\)
\(114\) 10.4980 + 1.18284i 0.0920881 + 0.0103758i
\(115\) 61.7915i 0.537317i
\(116\) 57.4454 97.2831i 0.495219 0.838647i
\(117\) −190.611 −1.62915
\(118\) 1.44660 12.8390i 0.0122594 0.108805i
\(119\) −94.1202 + 149.791i −0.790926 + 1.25875i
\(120\) −16.0188 3.65618i −0.133490 0.0304681i
\(121\) 29.1579 23.2526i 0.240974 0.192170i
\(122\) −14.9792 11.9455i −0.122780 0.0979141i
\(123\) −15.6538 68.5840i −0.127267 0.557593i
\(124\) 26.1444 74.7165i 0.210842 0.602552i
\(125\) 29.7012 + 61.6752i 0.237610 + 0.493401i
\(126\) −18.1577 28.8978i −0.144109 0.229347i
\(127\) −2.18644 6.24848i −0.0172161 0.0492007i 0.934955 0.354767i \(-0.115440\pi\)
−0.952171 + 0.305567i \(0.901154\pi\)
\(128\) −54.6902 + 54.6902i −0.427267 + 0.427267i
\(129\) 2.82139 5.85868i 0.0218713 0.0454162i
\(130\) 7.65614 0.862640i 0.0588934 0.00663569i
\(131\) −9.20832 81.7261i −0.0702925 0.623863i −0.978631 0.205627i \(-0.934077\pi\)
0.908338 0.418237i \(-0.137352\pi\)
\(132\) −145.039 69.8470i −1.09878 0.529144i
\(133\) 47.5188 + 47.5188i 0.357284 + 0.357284i
\(134\) −18.9660 + 6.63649i −0.141537 + 0.0495261i
\(135\) 13.0926 8.22661i 0.0969821 0.0609379i
\(136\) 43.8041 21.0950i 0.322089 0.155110i
\(137\) 54.9656 + 19.2333i 0.401209 + 0.140389i 0.523338 0.852125i \(-0.324686\pi\)
−0.122129 + 0.992514i \(0.538972\pi\)
\(138\) 61.5423 14.0466i 0.445959 0.101787i
\(139\) −12.9334 + 16.2180i −0.0930462 + 0.116676i −0.826175 0.563414i \(-0.809488\pi\)
0.733129 + 0.680090i \(0.238059\pi\)
\(140\) −32.1528 40.3183i −0.229663 0.287988i
\(141\) −56.0640 + 245.632i −0.397617 + 1.74207i
\(142\) 10.3966 + 6.53259i 0.0732152 + 0.0460042i
\(143\) 152.030 + 17.1296i 1.06314 + 0.119788i
\(144\) 168.249i 1.16840i
\(145\) −14.7429 38.6750i −0.101675 0.266724i
\(146\) −29.3245 −0.200853
\(147\) 18.7206 166.150i 0.127351 1.13027i
\(148\) 34.7829 55.3567i 0.235020 0.374032i
\(149\) 59.1793 + 13.5073i 0.397177 + 0.0906530i 0.416444 0.909161i \(-0.363276\pi\)
−0.0192673 + 0.999814i \(0.506133\pi\)
\(150\) 26.1763 20.8749i 0.174509 0.139166i
\(151\) −68.4936 54.6219i −0.453600 0.361734i 0.369880 0.929080i \(-0.379399\pi\)
−0.823480 + 0.567346i \(0.807970\pi\)
\(152\) −4.10972 18.0058i −0.0270376 0.118459i
\(153\) −71.8098 + 205.221i −0.469345 + 1.34131i
\(154\) 11.8855 + 24.6804i 0.0771783 + 0.160262i
\(155\) −15.4289 24.5550i −0.0995413 0.158419i
\(156\) 97.1780 + 277.719i 0.622936 + 1.78025i
\(157\) −78.9251 + 78.9251i −0.502708 + 0.502708i −0.912278 0.409571i \(-0.865679\pi\)
0.409571 + 0.912278i \(0.365679\pi\)
\(158\) 10.1928 21.1656i 0.0645114 0.133959i
\(159\) −189.013 + 21.2967i −1.18876 + 0.133942i
\(160\) 2.39071 + 21.2182i 0.0149420 + 0.132614i
\(161\) 361.780 + 174.224i 2.24708 + 1.08214i
\(162\) 12.2483 + 12.2483i 0.0756070 + 0.0756070i
\(163\) 262.325 91.7915i 1.60936 0.563138i 0.632042 0.774934i \(-0.282217\pi\)
0.977314 + 0.211796i \(0.0679311\pi\)
\(164\) −51.3789 + 32.2835i −0.313286 + 0.196851i
\(165\) −53.1353 + 25.5886i −0.322032 + 0.155083i
\(166\) 19.7241 + 6.90176i 0.118820 + 0.0415769i
\(167\) −285.956 + 65.2676i −1.71231 + 0.390824i −0.962597 0.270937i \(-0.912666\pi\)
−0.749715 + 0.661761i \(0.769809\pi\)
\(168\) −66.5720 + 83.4786i −0.396262 + 0.496897i
\(169\) −68.9753 86.4923i −0.408138 0.511789i
\(170\) 1.95558 8.56795i 0.0115034 0.0503997i
\(171\) 69.9327 + 43.9416i 0.408963 + 0.256969i
\(172\) −5.57371 0.628006i −0.0324053 0.00365120i
\(173\) 14.6046i 0.0844195i 0.999109 + 0.0422097i \(0.0134398\pi\)
−0.999109 + 0.0422097i \(0.986560\pi\)
\(174\) −35.1676 + 23.4752i −0.202113 + 0.134915i
\(175\) 212.975 1.21700
\(176\) −15.1200 + 134.194i −0.0859092 + 0.762465i
\(177\) 96.1710 153.055i 0.543339 0.864719i
\(178\) −8.95528 2.04398i −0.0503105 0.0114831i
\(179\) 86.0623 68.6324i 0.480795 0.383421i −0.352887 0.935666i \(-0.614800\pi\)
0.833682 + 0.552245i \(0.186229\pi\)
\(180\) −49.5519 39.5163i −0.275288 0.219535i
\(181\) −17.4302 76.3667i −0.0962995 0.421916i 0.903681 0.428207i \(-0.140855\pi\)
−0.999980 + 0.00629122i \(0.997997\pi\)
\(182\) 16.5362 47.2578i 0.0908583 0.259658i
\(183\) −116.302 241.503i −0.635528 1.31969i
\(184\) −58.7127 93.4408i −0.319091 0.507830i
\(185\) −7.91058 22.6071i −0.0427599 0.122201i
\(186\) −20.9486 + 20.9486i −0.112627 + 0.112627i
\(187\) 75.7175 157.229i 0.404906 0.840797i
\(188\) 215.957 24.3325i 1.14871 0.129428i
\(189\) −11.2504 99.8504i −0.0595261 0.528309i
\(190\) −3.00780 1.44848i −0.0158305 0.00762359i
\(191\) −187.870 187.870i −0.983612 0.983612i 0.0162561 0.999868i \(-0.494825\pi\)
−0.999868 + 0.0162561i \(0.994825\pi\)
\(192\) −231.106 + 80.8675i −1.20368 + 0.421185i
\(193\) −77.8526 + 48.9180i −0.403381 + 0.253461i −0.718409 0.695621i \(-0.755129\pi\)
0.315027 + 0.949083i \(0.397986\pi\)
\(194\) −32.2566 + 15.5340i −0.166271 + 0.0800719i
\(195\) 101.743 + 35.6014i 0.521759 + 0.182571i
\(196\) −140.606 + 32.0925i −0.717380 + 0.163737i
\(197\) −102.116 + 128.049i −0.518354 + 0.649995i −0.970259 0.242071i \(-0.922173\pi\)
0.451905 + 0.892066i \(0.350745\pi\)
\(198\) 20.9908 + 26.3217i 0.106014 + 0.132938i
\(199\) −44.0784 + 193.120i −0.221499 + 0.970452i 0.734851 + 0.678229i \(0.237252\pi\)
−0.956350 + 0.292223i \(0.905605\pi\)
\(200\) −49.5600 31.1406i −0.247800 0.155703i
\(201\) −279.354 31.4757i −1.38982 0.156595i
\(202\) 26.5188i 0.131281i
\(203\) −268.004 22.7285i −1.32022 0.111963i
\(204\) 335.616 1.64517
\(205\) −2.48899 + 22.0904i −0.0121414 + 0.107758i
\(206\) 6.29666 10.0211i 0.0305663 0.0486460i
\(207\) 481.132 + 109.815i 2.32431 + 0.530509i
\(208\) 192.974 153.891i 0.927758 0.739862i
\(209\) −51.8288 41.3321i −0.247985 0.197761i
\(210\) 4.29469 + 18.8163i 0.0204509 + 0.0896013i
\(211\) 63.5268 181.549i 0.301075 0.860423i −0.689602 0.724189i \(-0.742214\pi\)
0.990677 0.136234i \(-0.0434998\pi\)
\(212\) 71.1867 + 147.821i 0.335786 + 0.697267i
\(213\) 91.3950 + 145.454i 0.429085 + 0.682884i
\(214\) 6.87458 + 19.6464i 0.0321242 + 0.0918058i
\(215\) −1.45301 + 1.45301i −0.00675817 + 0.00675817i
\(216\) −11.9818 + 24.8805i −0.0554714 + 0.115187i
\(217\) −187.268 + 21.1000i −0.862986 + 0.0972352i
\(218\) 1.77225 + 15.7291i 0.00812957 + 0.0721520i
\(219\) −369.639 178.009i −1.68785 0.812824i
\(220\) 35.9709 + 35.9709i 0.163504 + 0.163504i
\(221\) −301.060 + 105.346i −1.36226 + 0.476677i
\(222\) −20.7177 + 13.0178i −0.0933230 + 0.0586387i
\(223\) 221.904 106.863i 0.995084 0.479207i 0.135817 0.990734i \(-0.456634\pi\)
0.859267 + 0.511527i \(0.170920\pi\)
\(224\) 130.970 + 45.8283i 0.584687 + 0.204591i
\(225\) 255.187 58.2448i 1.13417 0.258866i
\(226\) 40.0293 50.1952i 0.177121 0.222103i
\(227\) −98.4607 123.466i −0.433748 0.543902i 0.516136 0.856507i \(-0.327370\pi\)
−0.949883 + 0.312604i \(0.898799\pi\)
\(228\) 28.3693 124.294i 0.124427 0.545149i
\(229\) −67.0912 42.1562i −0.292975 0.184088i 0.377522 0.926001i \(-0.376776\pi\)
−0.670497 + 0.741912i \(0.733919\pi\)
\(230\) −19.8223 2.23344i −0.0861839 0.00971059i
\(231\) 383.248i 1.65908i
\(232\) 59.0422 + 44.4758i 0.254492 + 0.191706i
\(233\) 266.277 1.14282 0.571409 0.820666i \(-0.306397\pi\)
0.571409 + 0.820666i \(0.306397\pi\)
\(234\) 6.88958 61.1467i 0.0294427 0.261311i
\(235\) 42.3588 67.4136i 0.180250 0.286866i
\(236\) −152.010 34.6953i −0.644110 0.147014i
\(237\) 256.963 204.921i 1.08423 0.864646i
\(238\) −44.6502 35.6073i −0.187606 0.149611i
\(239\) 98.7830 + 432.796i 0.413318 + 1.81086i 0.568152 + 0.822924i \(0.307659\pi\)
−0.154834 + 0.987940i \(0.549484\pi\)
\(240\) −31.4247 + 89.8067i −0.130936 + 0.374195i
\(241\) −57.9406 120.315i −0.240417 0.499232i 0.745491 0.666515i \(-0.232215\pi\)
−0.985909 + 0.167283i \(0.946501\pi\)
\(242\) 6.40538 + 10.1941i 0.0264685 + 0.0421244i
\(243\) 112.245 + 320.777i 0.461913 + 1.32007i
\(244\) −163.490 + 163.490i −0.670040 + 0.670040i
\(245\) −22.9248 + 47.6038i −0.0935705 + 0.194301i
\(246\) 22.5671 2.54270i 0.0917361 0.0103362i
\(247\) 13.5660 + 120.401i 0.0549230 + 0.487455i
\(248\) 46.6630 + 22.4717i 0.188157 + 0.0906119i
\(249\) 206.729 + 206.729i 0.830236 + 0.830236i
\(250\) −20.8585 + 7.29872i −0.0834341 + 0.0291949i
\(251\) 157.929 99.2334i 0.629199 0.395352i −0.179346 0.983786i \(-0.557398\pi\)
0.808545 + 0.588434i \(0.200255\pi\)
\(252\) −371.076 + 178.701i −1.47252 + 0.709129i
\(253\) −373.878 130.826i −1.47778 0.517097i
\(254\) 2.08350 0.475546i 0.00820276 0.00187223i
\(255\) 76.6603 96.1290i 0.300629 0.376976i
\(256\) 119.634 + 150.016i 0.467319 + 0.585999i
\(257\) 60.5477 265.277i 0.235594 1.03221i −0.709320 0.704887i \(-0.750998\pi\)
0.944914 0.327319i \(-0.106145\pi\)
\(258\) 1.77745 + 1.11685i 0.00688934 + 0.00432886i
\(259\) −154.666 17.4266i −0.597164 0.0672843i
\(260\) 92.9778i 0.357607i
\(261\) −327.339 + 46.0610i −1.25417 + 0.176479i
\(262\) 26.5500 0.101336
\(263\) 20.1675 178.992i 0.0766826 0.680577i −0.895290 0.445483i \(-0.853032\pi\)
0.971973 0.235093i \(-0.0755396\pi\)
\(264\) 56.0373 89.1829i 0.212263 0.337814i
\(265\) 58.5999 + 13.3750i 0.221132 + 0.0504719i
\(266\) −16.9613 + 13.5262i −0.0637642 + 0.0508503i
\(267\) −100.475 80.1259i −0.376310 0.300097i
\(268\) 53.9583 + 236.407i 0.201337 + 0.882115i
\(269\) 19.6598 56.1843i 0.0730846 0.208864i −0.901546 0.432683i \(-0.857567\pi\)
0.974631 + 0.223819i \(0.0718526\pi\)
\(270\) 2.16582 + 4.49736i 0.00802154 + 0.0166569i
\(271\) 6.36322 + 10.1270i 0.0234805 + 0.0373691i 0.858258 0.513218i \(-0.171547\pi\)
−0.834778 + 0.550587i \(0.814404\pi\)
\(272\) −92.9867 265.741i −0.341863 0.976988i
\(273\) 495.310 495.310i 1.81432 1.81432i
\(274\) −8.15664 + 16.9374i −0.0297688 + 0.0618155i
\(275\) −208.769 + 23.5227i −0.759162 + 0.0855370i
\(276\) −85.2926 756.993i −0.309031 2.74273i
\(277\) 302.145 + 145.505i 1.09078 + 0.525290i 0.890747 0.454500i \(-0.150182\pi\)
0.200030 + 0.979790i \(0.435896\pi\)
\(278\) −4.73515 4.73515i −0.0170329 0.0170329i
\(279\) −218.615 + 76.4965i −0.783565 + 0.274181i
\(280\) 28.5691 17.9511i 0.102032 0.0641112i
\(281\) −17.7067 + 8.52710i −0.0630132 + 0.0303456i −0.465125 0.885245i \(-0.653991\pi\)
0.402112 + 0.915591i \(0.368276\pi\)
\(282\) −76.7709 26.8633i −0.272237 0.0952599i
\(283\) −352.519 + 80.4602i −1.24565 + 0.284312i −0.794019 0.607892i \(-0.792015\pi\)
−0.451632 + 0.892204i \(0.649158\pi\)
\(284\) 92.3862 115.849i 0.325304 0.407918i
\(285\) −29.1210 36.5166i −0.102179 0.128128i
\(286\) −10.9901 + 48.1510i −0.0384271 + 0.168360i
\(287\) 122.318 + 76.8574i 0.426195 + 0.267796i
\(288\) 169.462 + 19.0937i 0.588408 + 0.0662977i
\(289\) 74.8232i 0.258904i
\(290\) 12.9396 3.33152i 0.0446192 0.0114880i
\(291\) −500.894 −1.72128
\(292\) −39.6224 + 351.659i −0.135693 + 1.20431i
\(293\) 240.077 382.081i 0.819377 1.30403i −0.130513 0.991447i \(-0.541663\pi\)
0.949890 0.312584i \(-0.101195\pi\)
\(294\) 52.6232 + 12.0109i 0.178990 + 0.0408534i
\(295\) −44.6593 + 35.6146i −0.151387 + 0.120727i
\(296\) 33.4431 + 26.6700i 0.112983 + 0.0901013i
\(297\) 22.0565 + 96.6360i 0.0742645 + 0.325374i
\(298\) −6.47207 + 18.4961i −0.0217184 + 0.0620675i
\(299\) 314.122 + 652.280i 1.05057 + 2.18154i
\(300\) −214.963 342.112i −0.716543 1.14037i
\(301\) 4.41031 + 12.6039i 0.0146522 + 0.0418736i
\(302\) 19.9980 19.9980i 0.0662186 0.0662186i
\(303\) −160.977 + 334.273i −0.531278 + 1.10321i
\(304\) −106.276 + 11.9745i −0.349593 + 0.0393896i
\(305\) 9.48386 + 84.1716i 0.0310946 + 0.275972i
\(306\) −63.2379 30.4538i −0.206660 0.0995222i
\(307\) 306.449 + 306.449i 0.998206 + 0.998206i 0.999998 0.00179262i \(-0.000570608\pi\)
−0.00179262 + 0.999998i \(0.500571\pi\)
\(308\) 312.026 109.183i 1.01307 0.354489i
\(309\) 140.201 88.0941i 0.453725 0.285094i
\(310\) 8.43474 4.06196i 0.0272088 0.0131031i
\(311\) −450.383 157.596i −1.44818 0.506739i −0.512219 0.858855i \(-0.671176\pi\)
−0.935956 + 0.352116i \(0.885462\pi\)
\(312\) −187.683 + 42.8374i −0.601548 + 0.137299i
\(313\) 3.32825 4.17350i 0.0106334 0.0133339i −0.776486 0.630134i \(-0.783000\pi\)
0.787120 + 0.616800i \(0.211571\pi\)
\(314\) −22.4659 28.1714i −0.0715476 0.0897178i
\(315\) −33.5755 + 147.104i −0.106589 + 0.466997i
\(316\) −240.045 150.830i −0.759635 0.477311i
\(317\) 113.076 + 12.7406i 0.356705 + 0.0401910i 0.288499 0.957480i \(-0.406844\pi\)
0.0682062 + 0.997671i \(0.478272\pi\)
\(318\) 61.4041i 0.193094i
\(319\) 265.222 7.32085i 0.831418 0.0229494i
\(320\) 77.3722 0.241788
\(321\) −32.6049 + 289.376i −0.101573 + 0.901484i
\(322\) −68.9663 + 109.759i −0.214181 + 0.340867i
\(323\) 134.741 + 30.7537i 0.417154 + 0.0952126i
\(324\) 163.431 130.332i 0.504418 0.402260i
\(325\) 300.215 + 239.413i 0.923738 + 0.736656i
\(326\) 19.9644 + 87.4700i 0.0612406 + 0.268313i
\(327\) −73.1412 + 209.026i −0.223673 + 0.639222i
\(328\) −17.2259 35.7699i −0.0525180 0.109055i
\(329\) −275.264 438.080i −0.836668 1.33155i
\(330\) −6.28810 17.9704i −0.0190549 0.0544556i
\(331\) 166.103 166.103i 0.501820 0.501820i −0.410183 0.912003i \(-0.634535\pi\)
0.912003 + 0.410183i \(0.134535\pi\)
\(332\) 109.416 227.205i 0.329567 0.684354i
\(333\) −190.087 + 21.4176i −0.570830 + 0.0643171i
\(334\) −10.6016 94.0919i −0.0317414 0.281712i
\(335\) 80.0381 + 38.5443i 0.238920 + 0.115058i
\(336\) 437.201 + 437.201i 1.30119 + 1.30119i
\(337\) −310.333 + 108.590i −0.920868 + 0.322226i −0.748751 0.662851i \(-0.769346\pi\)
−0.172117 + 0.985077i \(0.555061\pi\)
\(338\) 30.2392 19.0006i 0.0894652 0.0562147i
\(339\) 809.274 389.726i 2.38724 1.14963i
\(340\) −100.104 35.0280i −0.294424 0.103024i
\(341\) 181.240 41.3668i 0.531494 0.121310i
\(342\) −16.6239 + 20.8457i −0.0486079 + 0.0609523i
\(343\) −69.2759 86.8693i −0.201971 0.253263i
\(344\) 0.816619 3.57784i 0.00237389 0.0104007i
\(345\) −236.305 148.480i −0.684941 0.430377i
\(346\) −4.68505 0.527878i −0.0135406 0.00152566i
\(347\) 484.864i 1.39730i 0.715463 + 0.698651i \(0.246216\pi\)
−0.715463 + 0.698651i \(0.753784\pi\)
\(348\) 233.996 + 453.448i 0.672402 + 1.30301i
\(349\) −297.414 −0.852190 −0.426095 0.904678i \(-0.640111\pi\)
−0.426095 + 0.904678i \(0.640111\pi\)
\(350\) −7.69793 + 68.3210i −0.0219941 + 0.195203i
\(351\) 96.3867 153.399i 0.274606 0.437033i
\(352\) −133.445 30.4580i −0.379106 0.0865284i
\(353\) −307.816 + 245.475i −0.871999 + 0.695396i −0.953538 0.301274i \(-0.902588\pi\)
0.0815384 + 0.996670i \(0.474017\pi\)
\(354\) 45.6231 + 36.3832i 0.128879 + 0.102777i
\(355\) −12.0795 52.9236i −0.0340267 0.149081i
\(356\) −36.6115 + 104.630i −0.102841 + 0.293904i
\(357\) −346.673 719.875i −0.971074 2.01646i
\(358\) 18.9061 + 30.0889i 0.0528104 + 0.0840472i
\(359\) −45.0091 128.629i −0.125374 0.358297i 0.864039 0.503424i \(-0.167927\pi\)
−0.989413 + 0.145127i \(0.953641\pi\)
\(360\) 29.3222 29.3222i 0.0814506 0.0814506i
\(361\) −133.853 + 277.949i −0.370784 + 0.769941i
\(362\) 25.1280 2.83124i 0.0694143 0.00782111i
\(363\) 18.8593 + 167.381i 0.0519539 + 0.461103i
\(364\) −544.371 262.155i −1.49552 0.720207i
\(365\) 91.6737 + 91.6737i 0.251161 + 0.251161i
\(366\) 81.6763 28.5798i 0.223159 0.0780868i
\(367\) 12.1503 7.63452i 0.0331070 0.0208025i −0.515377 0.856964i \(-0.672348\pi\)
0.548484 + 0.836161i \(0.315205\pi\)
\(368\) −575.756 + 277.270i −1.56456 + 0.753450i
\(369\) 167.581 + 58.6390i 0.454148 + 0.158913i
\(370\) 7.53815 1.72053i 0.0203734 0.00465009i
\(371\) 243.534 305.382i 0.656426 0.823132i
\(372\) 222.910 + 279.520i 0.599220 + 0.751398i
\(373\) 147.677 647.015i 0.395917 1.73462i −0.247300 0.968939i \(-0.579543\pi\)
0.643216 0.765685i \(-0.277600\pi\)
\(374\) 47.7012 + 29.9727i 0.127543 + 0.0801408i
\(375\) −307.230 34.6165i −0.819279 0.0923106i
\(376\) 142.191i 0.378167i
\(377\) −352.235 333.312i −0.934311 0.884118i
\(378\) 32.4380 0.0858148
\(379\) 56.5377 501.786i 0.149176 1.32397i −0.666517 0.745489i \(-0.732216\pi\)
0.815693 0.578484i \(-0.196356\pi\)
\(380\) −21.4342 + 34.1124i −0.0564058 + 0.0897694i
\(381\) 29.1495 + 6.65318i 0.0765078 + 0.0174624i
\(382\) 67.0579 53.4769i 0.175544 0.139992i
\(383\) −201.835 160.958i −0.526984 0.420256i 0.323522 0.946220i \(-0.395133\pi\)
−0.850506 + 0.525965i \(0.823704\pi\)
\(384\) −77.7316 340.564i −0.202426 0.886886i
\(385\) 39.9993 114.312i 0.103894 0.296913i
\(386\) −12.8786 26.7427i −0.0333643 0.0692817i
\(387\) 8.73140 + 13.8959i 0.0225618 + 0.0359068i
\(388\) 142.699 + 407.809i 0.367780 + 1.05105i
\(389\) −161.691 + 161.691i −0.415657 + 0.415657i −0.883704 0.468046i \(-0.844958\pi\)
0.468046 + 0.883704i \(0.344958\pi\)
\(390\) −15.0982 + 31.3517i −0.0387133 + 0.0803889i
\(391\) 820.616 92.4613i 2.09876 0.236474i
\(392\) −10.5652 93.7688i −0.0269521 0.239206i
\(393\) 334.666 + 161.167i 0.851568 + 0.410094i
\(394\) −37.3864 37.3864i −0.0948893 0.0948893i
\(395\) −98.0320 + 34.3029i −0.248182 + 0.0868427i
\(396\) 344.011 216.156i 0.868714 0.545849i
\(397\) 167.789 80.8031i 0.422643 0.203534i −0.210458 0.977603i \(-0.567496\pi\)
0.633102 + 0.774068i \(0.281781\pi\)
\(398\) −60.3584 21.1203i −0.151654 0.0530662i
\(399\) −295.907 + 67.5388i −0.741621 + 0.169270i
\(400\) −211.326 + 264.994i −0.528315 + 0.662486i
\(401\) −75.3765 94.5192i −0.187971 0.235709i 0.678912 0.734220i \(-0.262452\pi\)
−0.866883 + 0.498511i \(0.833880\pi\)
\(402\) 20.1944 88.4773i 0.0502348 0.220093i
\(403\) −287.697 180.772i −0.713888 0.448566i
\(404\) 318.013 + 35.8315i 0.787161 + 0.0886918i
\(405\) 76.5810i 0.189089i
\(406\) 16.9781 85.1525i 0.0418180 0.209735i
\(407\) 153.536 0.377239
\(408\) −24.5860 + 218.207i −0.0602598 + 0.534820i
\(409\) −369.388 + 587.877i −0.903148 + 1.43735i −0.00386193 + 0.999993i \(0.501229\pi\)
−0.899287 + 0.437360i \(0.855914\pi\)
\(410\) −6.99648 1.59690i −0.0170646 0.00389488i
\(411\) −205.631 + 163.985i −0.500318 + 0.398990i
\(412\) −111.665 89.0495i −0.271031 0.216140i
\(413\) 82.5991 + 361.890i 0.199998 + 0.876247i
\(414\) −52.6184 + 150.375i −0.127098 + 0.363224i
\(415\) −40.0850 83.2373i −0.0965903 0.200572i
\(416\) 133.101 + 211.829i 0.319954 + 0.509204i
\(417\) −30.9433 88.4310i −0.0742046 0.212065i
\(418\) 15.1324 15.1324i 0.0362019 0.0362019i
\(419\) −54.7621 + 113.715i −0.130697 + 0.271395i −0.956040 0.293237i \(-0.905268\pi\)
0.825343 + 0.564632i \(0.190982\pi\)
\(420\) 231.447 26.0778i 0.551064 0.0620900i
\(421\) 48.8429 + 433.493i 0.116016 + 1.02967i 0.907953 + 0.419071i \(0.137644\pi\)
−0.791937 + 0.610603i \(0.790927\pi\)
\(422\) 55.9436 + 26.9410i 0.132568 + 0.0638413i
\(423\) −449.629 449.629i −1.06295 1.06295i
\(424\) −101.323 + 35.4545i −0.238970 + 0.0836191i
\(425\) 370.865 233.030i 0.872624 0.548306i
\(426\) −49.9643 + 24.0615i −0.117287 + 0.0564825i
\(427\) 519.552 + 181.799i 1.21675 + 0.425759i
\(428\) 244.888 55.8941i 0.572169 0.130594i
\(429\) −430.823 + 540.235i −1.00425 + 1.25929i
\(430\) −0.413596 0.518633i −0.000961852 0.00120612i
\(431\) −11.3639 + 49.7884i −0.0263663 + 0.115518i −0.986399 0.164371i \(-0.947441\pi\)
0.960032 + 0.279889i \(0.0902978\pi\)
\(432\) 135.402 + 85.0788i 0.313431 + 0.196942i
\(433\) −270.069 30.4294i −0.623716 0.0702759i −0.205550 0.978647i \(-0.565898\pi\)
−0.418166 + 0.908371i \(0.637327\pi\)
\(434\) 60.8370i 0.140177i
\(435\) 183.328 + 36.5528i 0.421444 + 0.0840294i
\(436\) 191.018 0.438115
\(437\) 35.1233 311.728i 0.0803737 0.713336i
\(438\) 70.4645 112.144i 0.160878 0.256036i
\(439\) 516.826 + 117.962i 1.17728 + 0.268706i 0.766023 0.642813i \(-0.222233\pi\)
0.411257 + 0.911520i \(0.365090\pi\)
\(440\) −26.0223 + 20.7521i −0.0591415 + 0.0471638i
\(441\) 329.920 + 263.102i 0.748118 + 0.596604i
\(442\) −22.9124 100.386i −0.0518381 0.227117i
\(443\) −148.288 + 423.784i −0.334737 + 0.956623i 0.646348 + 0.763043i \(0.276296\pi\)
−0.981084 + 0.193580i \(0.937990\pi\)
\(444\) 128.116 + 266.036i 0.288549 + 0.599179i
\(445\) 21.6060 + 34.3857i 0.0485527 + 0.0772712i
\(446\) 26.2604 + 75.0478i 0.0588797 + 0.168269i
\(447\) −193.858 + 193.858i −0.433687 + 0.433687i
\(448\) 218.155 453.003i 0.486952 1.01117i
\(449\) −754.738 + 85.0385i −1.68093 + 0.189395i −0.900201 0.435474i \(-0.856581\pi\)
−0.780729 + 0.624869i \(0.785152\pi\)
\(450\) 9.46088 + 83.9677i 0.0210242 + 0.186595i
\(451\) −128.391 61.8300i −0.284681 0.137095i
\(452\) −547.853 547.853i −1.21206 1.21206i
\(453\) 373.471 130.683i 0.824440 0.288484i
\(454\) 43.1659 27.1229i 0.0950790 0.0597421i
\(455\) −199.432 + 96.0412i −0.438311 + 0.211080i
\(456\) 78.7338 + 27.5501i 0.172662 + 0.0604170i
\(457\) 224.303 51.1956i 0.490815 0.112025i 0.0300518 0.999548i \(-0.490433\pi\)
0.460763 + 0.887523i \(0.347576\pi\)
\(458\) 15.9484 19.9987i 0.0348219 0.0436653i
\(459\) −128.844 161.565i −0.280706 0.351994i
\(460\) −53.5666 + 234.691i −0.116449 + 0.510197i
\(461\) 670.322 + 421.191i 1.45406 + 0.913646i 0.999740 + 0.0228077i \(0.00726055\pi\)
0.454320 + 0.890839i \(0.349882\pi\)
\(462\) −122.943 13.8524i −0.266111 0.0299835i
\(463\) 582.383i 1.25785i −0.777467 0.628923i \(-0.783496\pi\)
0.777467 0.628923i \(-0.216504\pi\)
\(464\) 294.209 310.912i 0.634071 0.670069i
\(465\) 130.978 0.281674
\(466\) −9.62450 + 85.4198i −0.0206534 + 0.183304i
\(467\) 112.967 179.786i 0.241899 0.384980i −0.703605 0.710592i \(-0.748427\pi\)
0.945504 + 0.325612i \(0.105570\pi\)
\(468\) −723.961 165.239i −1.54693 0.353076i
\(469\) 451.342 359.933i 0.962350 0.767448i
\(470\) 20.0948 + 16.0251i 0.0427549 + 0.0340959i
\(471\) −112.177 491.479i −0.238167 1.04348i
\(472\) 33.6935 96.2904i 0.0713845 0.204005i
\(473\) −5.71530 11.8679i −0.0120831 0.0250908i
\(474\) 56.4495 + 89.8388i 0.119092 + 0.189533i
\(475\) −54.9529 157.046i −0.115690 0.330624i
\(476\) −487.332 + 487.332i −1.02381 + 1.02381i
\(477\) 208.287 432.512i 0.436659 0.906733i
\(478\) −142.409 + 16.0456i −0.297926 + 0.0335682i
\(479\) −15.9968 141.976i −0.0333963 0.296400i −0.999297 0.0374877i \(-0.988064\pi\)
0.965901 0.258912i \(-0.0833641\pi\)
\(480\) −86.8878 41.8430i −0.181016 0.0871728i
\(481\) −198.430 198.430i −0.412537 0.412537i
\(482\) 40.6905 14.2382i 0.0844201 0.0295399i
\(483\) −1535.60 + 964.882i −3.17930 + 1.99768i
\(484\) 130.902 63.0392i 0.270459 0.130246i
\(485\) 149.402 + 52.2780i 0.308045 + 0.107790i
\(486\) −106.960 + 24.4130i −0.220083 + 0.0502325i
\(487\) 237.781 298.169i 0.488258 0.612256i −0.475278 0.879836i \(-0.657653\pi\)
0.963536 + 0.267580i \(0.0862239\pi\)
\(488\) −94.3193 118.273i −0.193277 0.242362i
\(489\) −279.315 + 1223.76i −0.571196 + 2.50257i
\(490\) −14.4424 9.07475i −0.0294742 0.0185199i
\(491\) 364.670 + 41.0885i 0.742709 + 0.0836832i 0.475207 0.879874i \(-0.342373\pi\)
0.267502 + 0.963557i \(0.413802\pi\)
\(492\) 274.060i 0.557032i
\(493\) −491.559 + 253.663i −0.997078 + 0.514529i
\(494\) −39.1143 −0.0791788
\(495\) 16.6652 147.907i 0.0336670 0.298803i
\(496\) 159.564 253.945i 0.321702 0.511986i
\(497\) −343.918 78.4971i −0.691989 0.157942i
\(498\) −73.7894 + 58.8451i −0.148171 + 0.118163i
\(499\) −246.893 196.890i −0.494775 0.394570i 0.344067 0.938945i \(-0.388195\pi\)
−0.838842 + 0.544375i \(0.816767\pi\)
\(500\) 59.3426 + 259.997i 0.118685 + 0.519994i
\(501\) 437.532 1250.39i 0.873317 2.49580i
\(502\) 26.1251 + 54.2494i 0.0520421 + 0.108066i
\(503\) 371.635 + 591.454i 0.738838 + 1.17585i 0.978750 + 0.205059i \(0.0657386\pi\)
−0.239912 + 0.970795i \(0.577118\pi\)
\(504\) −89.0018 254.353i −0.176591 0.504668i
\(505\) 82.9027 82.9027i 0.164164 0.164164i
\(506\) 55.4818 115.209i 0.109648 0.227686i
\(507\) 496.508 55.9431i 0.979307 0.110341i
\(508\) −2.88756 25.6278i −0.00568418 0.0504485i
\(509\) 540.877 + 260.473i 1.06263 + 0.511734i 0.881723 0.471767i \(-0.156384\pi\)
0.180904 + 0.983501i \(0.442098\pi\)
\(510\) 28.0667 + 28.0667i 0.0550327 + 0.0550327i
\(511\) 795.214 278.257i 1.55619 0.544535i
\(512\) −314.403 + 197.553i −0.614069 + 0.385845i
\(513\) −70.7261 + 34.0599i −0.137868 + 0.0663935i
\(514\) 82.9106 + 29.0117i 0.161305 + 0.0564429i
\(515\) −51.0122 + 11.6432i −0.0990528 + 0.0226082i
\(516\) 15.7948 19.8061i 0.0306101 0.0383839i
\(517\) 318.213 + 399.027i 0.615499 + 0.771812i
\(518\) 11.1807 48.9858i 0.0215844 0.0945672i
\(519\) −55.8512 35.0936i −0.107613 0.0676178i
\(520\) 60.4512 + 6.81122i 0.116252 + 0.0130985i
\(521\) 453.443i 0.870331i −0.900350 0.435166i \(-0.856690\pi\)
0.900350 0.435166i \(-0.143310\pi\)
\(522\) −2.94447 106.673i −0.00564074 0.204355i
\(523\) −131.985 −0.252361 −0.126180 0.992007i \(-0.540272\pi\)
−0.126180 + 0.992007i \(0.540272\pi\)
\(524\) 35.8736 318.387i 0.0684612 0.607610i
\(525\) −511.763 + 814.466i −0.974786 + 1.55136i
\(526\) 56.6904 + 12.9392i 0.107776 + 0.0245993i
\(527\) −303.013 + 241.645i −0.574977 + 0.458529i
\(528\) −476.856 380.280i −0.903136 0.720227i
\(529\) −299.386 1311.70i −0.565947 2.47958i
\(530\) −6.40870 + 18.3150i −0.0120919 + 0.0345567i
\(531\) 197.941 + 411.028i 0.372770 + 0.774065i
\(532\) 139.288 + 221.675i 0.261819 + 0.416683i
\(533\) 86.0239 + 245.842i 0.161396 + 0.461243i
\(534\) 29.3355 29.3355i 0.0549354 0.0549354i
\(535\) 39.9271 82.9095i 0.0746301 0.154971i
\(536\) −157.657 + 17.7637i −0.294136 + 0.0331412i
\(537\) 55.6649 + 494.040i 0.103659 + 0.920000i
\(538\) 17.3130 + 8.33749i 0.0321803 + 0.0154972i
\(539\) −239.497 239.497i −0.444336 0.444336i
\(540\) 56.8586 19.8957i 0.105294 0.0368439i
\(541\) −413.693 + 259.940i −0.764682 + 0.480481i −0.857043 0.515244i \(-0.827701\pi\)
0.0923617 + 0.995726i \(0.470558\pi\)
\(542\) −3.47868 + 1.67524i −0.00641822 + 0.00309085i
\(543\) 333.927 + 116.846i 0.614968 + 0.215186i
\(544\) 278.209 63.4993i 0.511413 0.116727i
\(545\) 43.6317 54.7125i 0.0800583 0.100390i
\(546\) 140.989 + 176.795i 0.258222 + 0.323800i
\(547\) −96.3497 + 422.136i −0.176142 + 0.771729i 0.807246 + 0.590215i \(0.200957\pi\)
−0.983388 + 0.181514i \(0.941900\pi\)
\(548\) 192.092 + 120.700i 0.350533 + 0.220255i
\(549\) 672.247 + 75.7441i 1.22449 + 0.137967i
\(550\) 67.8221i 0.123313i
\(551\) 52.3920 + 203.489i 0.0950853 + 0.369309i
\(552\) 498.421 0.902937
\(553\) −75.5676 + 670.681i −0.136650 + 1.21280i
\(554\) −57.5981 + 91.6669i −0.103968 + 0.165464i
\(555\) 105.463 + 24.0713i 0.190024 + 0.0433717i
\(556\) −63.1818 + 50.3858i −0.113636 + 0.0906220i
\(557\) 67.2366 + 53.6194i 0.120712 + 0.0962647i 0.681985 0.731366i \(-0.261117\pi\)
−0.561273 + 0.827631i \(0.689688\pi\)
\(558\) −16.6378 72.8951i −0.0298169 0.130636i
\(559\) −7.95169 + 22.7246i −0.0142249 + 0.0406523i
\(560\) −84.7739 176.035i −0.151382 0.314348i
\(561\) 419.336 + 667.370i 0.747480 + 1.18961i
\(562\) −2.09543 5.98841i −0.00372853 0.0106555i
\(563\) −243.097 + 243.097i −0.431788 + 0.431788i −0.889236 0.457448i \(-0.848764\pi\)
0.457448 + 0.889236i \(0.348764\pi\)
\(564\) −425.874 + 884.337i −0.755097 + 1.56797i
\(565\) −282.058 + 31.7803i −0.499218 + 0.0562484i
\(566\) −13.0694 115.994i −0.0230908 0.204937i
\(567\) −448.370 215.924i −0.790777 0.380818i
\(568\) 68.5533 + 68.5533i 0.120692 + 0.120692i
\(569\) −135.305 + 47.3452i −0.237794 + 0.0832077i −0.446545 0.894761i \(-0.647346\pi\)
0.208751 + 0.977969i \(0.433060\pi\)
\(570\) 12.7668 8.02194i 0.0223980 0.0140736i
\(571\) −515.966 + 248.476i −0.903618 + 0.435159i −0.827194 0.561916i \(-0.810064\pi\)
−0.0764234 + 0.997075i \(0.524350\pi\)
\(572\) 562.576 + 196.854i 0.983524 + 0.344150i
\(573\) 1169.89 267.021i 2.04170 0.466005i
\(574\) −29.0765 + 36.4608i −0.0506560 + 0.0635206i
\(575\) −619.859 777.278i −1.07801 1.35179i
\(576\) 137.505 602.450i 0.238725 1.04592i
\(577\) 569.679 + 357.953i 0.987312 + 0.620369i 0.925910 0.377744i \(-0.123300\pi\)
0.0614016 + 0.998113i \(0.480443\pi\)
\(578\) −24.0028 2.70447i −0.0415273 0.00467901i
\(579\) 415.272i 0.717224i
\(580\) −22.4680 159.672i −0.0387379 0.275297i
\(581\) −600.363 −1.03333
\(582\) 18.1047 160.683i 0.0311077 0.276088i
\(583\) −204.996 + 326.249i −0.351623 + 0.559604i
\(584\) −225.735 51.5225i −0.386532 0.0882234i
\(585\) −212.694 + 169.618i −0.363579 + 0.289945i
\(586\) 113.892 + 90.8255i 0.194354 + 0.154992i
\(587\) 64.3062 + 281.744i 0.109551 + 0.479973i 0.999704 + 0.0243124i \(0.00773965\pi\)
−0.890154 + 0.455660i \(0.849403\pi\)
\(588\) 215.137 614.827i 0.365880 1.04562i
\(589\) 63.8789 + 132.646i 0.108453 + 0.225205i
\(590\) −9.81073 15.6137i −0.0166284 0.0264639i
\(591\) −244.313 698.206i −0.413389 1.18140i
\(592\) 175.151 175.151i 0.295863 0.295863i
\(593\) 91.1724 189.321i 0.153748 0.319260i −0.809841 0.586650i \(-0.800447\pi\)
0.963589 + 0.267389i \(0.0861609\pi\)
\(594\) −31.7974 + 3.58271i −0.0535310 + 0.00603150i
\(595\) 28.2696 + 250.900i 0.0475119 + 0.421680i
\(596\) 213.060 + 102.604i 0.357483 + 0.172155i
\(597\) −632.618 632.618i −1.05966 1.05966i
\(598\) −220.601 + 77.1917i −0.368898 + 0.129083i
\(599\) 886.781 557.202i 1.48044 0.930220i 0.481895 0.876229i \(-0.339949\pi\)
0.998541 0.0539909i \(-0.0171942\pi\)
\(600\) 238.178 114.700i 0.396963 0.191167i
\(601\) −513.064 179.529i −0.853683 0.298717i −0.132263 0.991215i \(-0.542224\pi\)
−0.721420 + 0.692498i \(0.756510\pi\)
\(602\) −4.20267 + 0.959233i −0.00698119 + 0.00159341i
\(603\) 442.364 554.707i 0.733605 0.919912i
\(604\) −212.795 266.837i −0.352310 0.441782i
\(605\) 11.8442 51.8930i 0.0195773 0.0857736i
\(606\) −101.414 63.7227i −0.167350 0.105153i
\(607\) −281.310 31.6961i −0.463444 0.0522176i −0.122844 0.992426i \(-0.539202\pi\)
−0.340600 + 0.940208i \(0.610630\pi\)
\(608\) 108.401i 0.178291i
\(609\) 730.913 970.295i 1.20018 1.59326i
\(610\) −27.3445 −0.0448270
\(611\) 104.444 926.962i 0.170939 1.51712i
\(612\) −450.646 + 717.199i −0.736350 + 1.17189i
\(613\) −561.152 128.079i −0.915419 0.208938i −0.261236 0.965275i \(-0.584130\pi\)
−0.654183 + 0.756336i \(0.726987\pi\)
\(614\) −109.383 + 87.2304i −0.178149 + 0.142069i
\(615\) −78.4978 62.5999i −0.127639 0.101788i
\(616\) 48.1292 + 210.868i 0.0781318 + 0.342318i
\(617\) −370.898 + 1059.96i −0.601131 + 1.71793i 0.0907049 + 0.995878i \(0.471088\pi\)
−0.691836 + 0.722055i \(0.743198\pi\)
\(618\) 23.1925 + 48.1597i 0.0375283 + 0.0779283i
\(619\) −78.0793 124.263i −0.126138 0.200747i 0.777685 0.628654i \(-0.216394\pi\)
−0.903823 + 0.427907i \(0.859251\pi\)
\(620\) −37.3141 106.638i −0.0601841 0.171996i
\(621\) −331.672 + 331.672i −0.534093 + 0.534093i
\(622\) 66.8346 138.784i 0.107451 0.223125i
\(623\) 262.242 29.5476i 0.420934 0.0474279i
\(624\) 124.815 + 1107.76i 0.200024 + 1.77526i
\(625\) −429.199 206.692i −0.686719 0.330706i
\(626\) 1.21853 + 1.21853i 0.00194654 + 0.00194654i
\(627\) 282.604 98.8875i 0.450724 0.157715i
\(628\) −368.186 + 231.347i −0.586284 + 0.368386i
\(629\) −288.395 + 138.884i −0.458498 + 0.220801i
\(630\) −45.9764 16.0878i −0.0729784 0.0255363i
\(631\) −314.703 + 71.8288i −0.498736 + 0.113833i −0.464487 0.885580i \(-0.653761\pi\)
−0.0342495 + 0.999413i \(0.510904\pi\)
\(632\) 115.650 145.020i 0.182990 0.229462i
\(633\) 541.636 + 679.190i 0.855664 + 1.07297i
\(634\) −8.17417 + 35.8134i −0.0128930 + 0.0564880i
\(635\) −8.00004 5.02676i −0.0125985 0.00791616i
\(636\) −736.356 82.9674i −1.15779 0.130452i
\(637\) 619.053i 0.971826i
\(638\) −7.23791 + 85.3462i −0.0113447 + 0.133772i
\(639\) −433.551 −0.678484
\(640\) −12.3594 + 109.693i −0.0193116 + 0.171396i
\(641\) 642.548 1022.61i 1.00241 1.59533i 0.217183 0.976131i \(-0.430313\pi\)
0.785231 0.619203i \(-0.212544\pi\)
\(642\) −91.6515 20.9189i −0.142759 0.0325839i
\(643\) −789.054 + 629.250i −1.22714 + 0.978615i −0.227156 + 0.973858i \(0.572943\pi\)
−0.999989 + 0.00475703i \(0.998486\pi\)
\(644\) 1223.05 + 975.346i 1.89914 + 1.51451i
\(645\) −2.06517 9.04809i −0.00320181 0.0140280i
\(646\) −14.7357 + 42.1123i −0.0228107 + 0.0651894i
\(647\) −216.567 449.706i −0.334725 0.695063i 0.663882 0.747837i \(-0.268908\pi\)
−0.998606 + 0.0527747i \(0.983193\pi\)
\(648\) 72.7654 + 115.806i 0.112292 + 0.178712i
\(649\) −120.938 345.621i −0.186345 0.532544i
\(650\) −87.6534 + 87.6534i −0.134851 + 0.134851i
\(651\) 369.299 766.858i 0.567280 1.17797i
\(652\) 1075.91 121.226i 1.65017 0.185930i
\(653\) −44.5435 395.334i −0.0682136 0.605413i −0.980591 0.196063i \(-0.937184\pi\)
0.912378 0.409349i \(-0.134244\pi\)
\(654\) −64.4104 31.0184i −0.0984868 0.0474287i
\(655\) −83.0002 83.0002i −0.126718 0.126718i
\(656\) −217.001 + 75.9318i −0.330794 + 0.115750i
\(657\) 876.729 550.885i 1.33444 0.838486i
\(658\) 150.482 72.4685i 0.228697 0.110135i
\(659\) 600.803 + 210.230i 0.911688 + 0.319013i 0.745053 0.667005i \(-0.232424\pi\)
0.166635 + 0.986019i \(0.446710\pi\)
\(660\) −223.996 + 51.1257i −0.339388 + 0.0774632i
\(661\) −638.575 + 800.748i −0.966074 + 1.21142i 0.0113074 + 0.999936i \(0.496401\pi\)
−0.977382 + 0.211483i \(0.932171\pi\)
\(662\) 47.2809 + 59.2883i 0.0714213 + 0.0895594i
\(663\) 320.559 1404.46i 0.483498 2.11834i
\(664\) 139.706 + 87.7833i 0.210401 + 0.132204i
\(665\) 95.3093 + 10.7388i 0.143322 + 0.0161485i
\(666\) 61.7526i 0.0927217i
\(667\) 697.069 + 1044.26i 1.04508 + 1.56561i
\(668\) −1142.67 −1.71059
\(669\) −124.548 + 1105.39i −0.186170 + 1.65231i
\(670\) −15.2577 + 24.2825i −0.0227727 + 0.0362426i
\(671\) −529.372 120.826i −0.788930 0.180068i
\(672\) −489.968 + 390.737i −0.729120 + 0.581453i
\(673\) −148.207 118.191i −0.220218 0.175618i 0.507166 0.861848i \(-0.330693\pi\)
−0.727385 + 0.686230i \(0.759264\pi\)
\(674\) −23.6181 103.478i −0.0350417 0.153528i
\(675\) −82.1673 + 234.821i −0.121729 + 0.347882i
\(676\) −186.996 388.301i −0.276621 0.574410i
\(677\) −574.645 914.543i −0.848812 1.35088i −0.935019 0.354599i \(-0.884617\pi\)
0.0862069 0.996277i \(-0.472525\pi\)
\(678\) 95.7706 + 273.697i 0.141255 + 0.403682i
\(679\) 727.325 727.325i 1.07117 1.07117i
\(680\) 30.1074 62.5186i 0.0442756 0.0919391i
\(681\) 708.755 79.8575i 1.04076 0.117265i
\(682\) 6.71933 + 59.6357i 0.00985239 + 0.0874423i
\(683\) 639.821 + 308.122i 0.936781 + 0.451130i 0.839032 0.544081i \(-0.183122\pi\)
0.0977481 + 0.995211i \(0.468836\pi\)
\(684\) 227.519 + 227.519i 0.332631 + 0.332631i
\(685\) 78.4486 27.4504i 0.114524 0.0400735i
\(686\) 30.3711 19.0834i 0.0442727 0.0278184i
\(687\) 322.430 155.274i 0.469330 0.226017i
\(688\) −20.0586 7.01882i −0.0291550 0.0102018i
\(689\) 686.583 156.708i 0.996492 0.227443i
\(690\) 56.1726 70.4382i 0.0814096 0.102084i
\(691\) 808.584 + 1013.93i 1.17016 + 1.46734i 0.855246 + 0.518222i \(0.173406\pi\)
0.314919 + 0.949119i \(0.398023\pi\)
\(692\) −12.6606 + 55.4697i −0.0182957 + 0.0801586i
\(693\) −818.987 514.604i −1.18180 0.742574i
\(694\) −155.541 17.5253i −0.224123 0.0252526i
\(695\) 29.6059i 0.0425984i
\(696\) −311.959 + 118.919i −0.448217 + 0.170860i
\(697\) 297.094 0.426246
\(698\) 10.7500 95.4085i 0.0154011 0.136688i
\(699\) −639.842 + 1018.30i −0.915367 + 1.45680i
\(700\) 808.903 + 184.627i 1.15558 + 0.263753i
\(701\) −507.886 + 405.025i −0.724516 + 0.577782i −0.914781 0.403951i \(-0.867637\pi\)
0.190265 + 0.981733i \(0.439065\pi\)
\(702\) 45.7254 + 36.4648i 0.0651359 + 0.0519441i
\(703\) 27.0573 + 118.546i 0.0384883 + 0.168628i
\(704\) −163.813 + 468.152i −0.232690 + 0.664989i
\(705\) 156.020 + 323.979i 0.221305 + 0.459545i
\(706\) −67.6208 107.618i −0.0957802 0.152433i
\(707\) −251.635 719.130i −0.355919 1.01716i
\(708\) 497.951 497.951i 0.703320 0.703320i
\(709\) −389.499 + 808.804i −0.549365 + 1.14077i 0.422747 + 0.906248i \(0.361066\pi\)
−0.972111 + 0.234519i \(0.924648\pi\)
\(710\) 17.4142 1.96210i 0.0245270 0.00276353i
\(711\) 92.8738 + 824.278i 0.130624 + 1.15932i
\(712\) −65.3449 31.4684i −0.0917765 0.0441972i
\(713\) 622.046 + 622.046i 0.872435 + 0.872435i
\(714\) 243.462 85.1909i 0.340983 0.119315i
\(715\) 184.886 116.171i 0.258582 0.162478i
\(716\) 386.371 186.066i 0.539624 0.259869i
\(717\) −1892.48 662.208i −2.63944 0.923581i
\(718\) 42.8901 9.78938i 0.0597355 0.0136342i
\(719\) −338.821 + 424.868i −0.471239 + 0.590916i −0.959474 0.281797i \(-0.909070\pi\)
0.488235 + 0.872712i \(0.337641\pi\)
\(720\) −149.719 187.741i −0.207943 0.260752i
\(721\) −75.6621 + 331.497i −0.104940 + 0.459774i
\(722\) −84.3260 52.9856i −0.116795 0.0733872i
\(723\) 599.339 + 67.5292i 0.828961 + 0.0934014i
\(724\) 305.159i 0.421491i
\(725\) 573.418 + 338.602i 0.790921 + 0.467037i
\(726\) −54.3762 −0.0748984
\(727\) −27.9681 + 248.224i −0.0384706 + 0.341436i 0.959703 + 0.281018i \(0.0906720\pi\)
−0.998173 + 0.0604182i \(0.980757\pi\)
\(728\) 210.324 334.728i 0.288906 0.459791i
\(729\) −1025.63 234.094i −1.40691 0.321117i
\(730\) −32.7218 + 26.0948i −0.0448244 + 0.0357463i
\(731\) 21.4707 + 17.1223i 0.0293717 + 0.0234232i
\(732\) −232.369 1018.08i −0.317444 1.39081i
\(733\) 375.536 1073.22i 0.512327 1.46415i −0.339642 0.940555i \(-0.610306\pi\)
0.851969 0.523592i \(-0.175408\pi\)
\(734\) 2.00994 + 4.17368i 0.00273833 + 0.00568621i
\(735\) −126.961 202.058i −0.172736 0.274909i
\(736\) −213.928 611.372i −0.290664 0.830669i
\(737\) −402.675 + 402.675i −0.546371 + 0.546371i
\(738\) −24.8682 + 51.6393i −0.0336967 + 0.0699720i
\(739\) −1294.80 + 145.889i −1.75209 + 0.197414i −0.928896 0.370340i \(-0.879241\pi\)
−0.823198 + 0.567754i \(0.807813\pi\)
\(740\) −10.4473 92.7220i −0.0141179 0.125300i
\(741\) −493.040 237.436i −0.665372 0.320426i
\(742\) 89.1621 + 89.1621i 0.120165 + 0.120165i
\(743\) 493.579 172.711i 0.664305 0.232450i 0.0229990 0.999735i \(-0.492679\pi\)
0.641306 + 0.767285i \(0.278393\pi\)
\(744\) −198.065 + 124.452i −0.266216 + 0.167275i
\(745\) 78.0551 37.5894i 0.104772 0.0504555i
\(746\) 202.220 + 70.7600i 0.271073 + 0.0948525i
\(747\) −719.357 + 164.188i −0.962994 + 0.219797i
\(748\) 423.884 531.534i 0.566690 0.710607i
\(749\) −372.846 467.534i −0.497792 0.624212i
\(750\) 22.2095 97.3061i 0.0296126 0.129741i
\(751\) −18.4139 11.5702i −0.0245192 0.0154064i 0.519717 0.854339i \(-0.326038\pi\)
−0.544236 + 0.838932i \(0.683180\pi\)
\(752\) 818.213 + 92.1905i 1.08805 + 0.122594i
\(753\) 842.407i 1.11873i
\(754\) 119.656 100.947i 0.158695 0.133882i
\(755\) −125.035 −0.165609
\(756\) 43.8293 388.996i 0.0579752 0.514544i
\(757\) −65.6056 + 104.411i −0.0866653 + 0.137927i −0.887244 0.461301i \(-0.847383\pi\)
0.800578 + 0.599228i \(0.204526\pi\)
\(758\) 158.926 + 36.2739i 0.209665 + 0.0478547i
\(759\) 1398.71 1115.43i 1.84283 1.46961i
\(760\) −20.6086 16.4348i −0.0271166 0.0216247i
\(761\) −130.200 570.442i −0.171090 0.749596i −0.985551 0.169377i \(-0.945824\pi\)
0.814461 0.580218i \(-0.197033\pi\)
\(762\) −3.18790 + 9.11048i −0.00418359 + 0.0119560i
\(763\) −197.312 409.722i −0.258600 0.536988i
\(764\) −550.687 876.413i −0.720795 1.14714i
\(765\) 102.489 + 292.897i 0.133973 + 0.382872i
\(766\) 58.9295 58.9295i 0.0769315 0.0769315i
\(767\) −290.381 + 602.982i −0.378593 + 0.786156i
\(768\) −861.165 + 97.0300i −1.12131 + 0.126341i
\(769\) −150.151 1332.62i −0.195255 1.73293i −0.584146 0.811648i \(-0.698571\pi\)
0.388892 0.921283i \(-0.372858\pi\)
\(770\) 35.2246 + 16.9633i 0.0457463 + 0.0220302i
\(771\) 868.988 + 868.988i 1.12709