Properties

Label 29.3.f.a.14.3
Level $29$
Weight $3$
Character 29.14
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 14.3
Character \(\chi\) \(=\) 29.14
Dual form 29.3.f.a.27.3

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{28}\right)\)

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 0.981434 0.191798i \(-0.0614317\pi\)
−0.999507 + 0.0314009i \(0.990003\pi\)
\(3\) −2.40292 3.82423i −0.800974 1.27474i −0.957891 0.287131i \(-0.907298\pi\)
0.156917 0.987612i \(-0.449844\pi\)
\(4\) 3.79811 0.866894i 0.949527 0.216723i
\(5\) 1.11585 + 0.889864i 0.223171 + 0.177973i 0.728692 0.684841i \(-0.240128\pi\)
−0.505522 + 0.862814i \(0.668700\pi\)
\(6\) −1.13993 + 0.909068i −0.189989 + 0.151511i
\(7\) −2.06382 + 9.04217i −0.294831 + 1.29174i 0.582884 + 0.812555i \(0.301924\pi\)
−0.877715 + 0.479183i \(0.840933\pi\)
\(8\) −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 −0.721039 0.692894i \(-0.756335\pi\)
0.995744 0.0921662i \(-0.0293791\pi\)
\(12\) −12.4418 12.4418i −1.03681 1.03681i
\(13\) 7.25544 + 15.0661i 0.558110 + 1.15893i 0.968958 + 0.247224i \(0.0795185\pi\)
−0.410848 + 0.911704i \(0.634767\pi\)
\(14\) 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 −0.982042 0.188662i \(-0.939585\pi\)
0.188662 + 0.982042i \(0.439585\pi\)
\(18\) 3.47329 + 1.21536i 0.192960 + 0.0675198i
\(19\) −6.13512 3.85495i −0.322901 0.202892i 0.360820 0.932635i \(-0.382497\pi\)
−0.683721 + 0.729743i \(0.739640\pi\)
\(20\) 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 −0.850988 0.525184i \(-0.823996\pi\)
−0.322654 0.946517i \(-0.604575\pi\)
\(24\) −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 0.975526 + 0.219885i \(0.0705681\pi\)
−0.902138 + 0.431447i \(0.858003\pi\)
\(32\) −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 0.994192 0.107622i \(-0.0343236\pi\)
−0.844392 + 0.535726i \(0.820038\pi\)
\(38\) −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 0.559920 0.828547i \(-0.310832\pi\)
−0.828547 + 0.559920i \(0.810832\pi\)
\(42\) −5.86733 12.1836i −0.139698 0.290086i
\(43\) −1.43070 0.161201i −0.0332721 0.00374887i 0.0953127 0.995447i \(-0.469615\pi\)
−0.128585 + 0.991699i \(0.541043\pi\)
\(44\) 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 0.825979 0.563701i \(-0.190623\pi\)
0.294314 + 0.955709i \(0.404909\pi\)
\(48\) −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 −0.469760 0.882794i \(-0.655660\pi\)
0.965192 + 0.261542i \(0.0842311\pi\)
\(54\) −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 0.480969 0.876738i \(-0.340285\pi\)
−0.998598 + 0.0529356i \(0.983142\pi\)
\(62\) 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 −0.596333 0.802737i \(-0.703376\pi\)
0.999413 0.0342668i \(-0.0109096\pi\)
\(68\) −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 0.984264 0.176704i \(-0.0565434\pi\)
−0.751831 + 0.659356i \(0.770829\pi\)
\(72\) 28.8721 + 3.25311i 0.401002 + 0.0451820i
\(73\) 10.1706 90.2664i 0.139323 1.23653i −0.708294 0.705918i \(-0.750535\pi\)
0.847617 0.530609i \(-0.178037\pi\)
\(74\) 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 −0.727890 0.685694i \(-0.759499\pi\)
−0.141564 + 0.989929i \(0.545213\pi\)
\(80\) 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 0.984521 + 0.175265i \(0.0560782\pi\)
−0.810978 + 0.585076i \(0.801065\pi\)
\(84\) 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 −0.998832 0.0483234i \(-0.984612\pi\)
0.963036 0.269373i \(-0.0868164\pi\)
\(90\) 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 −0.390581 0.920568i \(-0.627726\pi\)
0.998870 0.0475179i \(-0.0151311\pi\)
\(98\) −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 0.506397 0.862300i \(-0.330977\pi\)
0.301821 + 0.953365i \(0.402406\pi\)
\(102\) 3.11381 27.6358i 0.0305276 0.270940i
\(103\) −33.0306 + 15.9067i −0.320686 + 0.154434i −0.587300 0.809369i \(-0.699809\pi\)
0.266614 + 0.963803i \(0.414095\pi\)
\(104\) 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 0.685176 0.728377i \(-0.259725\pi\)
−0.142268 + 0.989828i \(0.545439\pi\)
\(108\) 39.8384 13.9401i 0.368874 0.129075i
\(109\) 47.8026 + 10.9106i 0.438556 + 0.100098i 0.436098 0.899899i \(-0.356360\pi\)
0.00245858 + 0.999997i \(0.499217\pi\)
\(110\) −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 −0.492390 + 0.870375i \(0.663877\pi\)
−0.997820 + 0.0659868i \(0.978980\pi\)
\(114\) 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 −0.952171 0.305567i \(-0.901154\pi\)
0.934955 + 0.354767i \(0.115440\pi\)
\(128\) −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 0.908338 + 0.418237i \(0.137352\pi\)
−0.978631 + 0.205627i \(0.934077\pi\)
\(132\) −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 −0.122129 0.992514i \(-0.538972\pi\)
0.523338 + 0.852125i \(0.324686\pi\)
\(138\) 61.5423 + 14.0466i 0.445959 + 0.101787i
\(139\) −12.9334 16.2180i −0.0930462 0.116676i 0.733129 0.680090i \(-0.238059\pi\)
−0.826175 + 0.563414i \(0.809488\pi\)
\(140\) −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 −0.0192673 0.999814i \(-0.506133\pi\)
0.416444 + 0.909161i \(0.363276\pi\)
\(150\) 26.1763 + 20.8749i 0.174509 + 0.139166i
\(151\) −68.4936 + 54.6219i −0.453600 + 0.361734i −0.823480 0.567346i \(-0.807970\pi\)
0.369880 + 0.929080i \(0.379399\pi\)
\(152\) −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 0.409571 0.912278i \(-0.365679\pi\)
−0.912278 + 0.409571i \(0.865679\pi\)
\(158\) 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 0.977314 0.211796i \(-0.0679311\pi\)
0.632042 + 0.774934i \(0.282217\pi\)
\(164\) −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 −0.749715 0.661761i \(-0.769809\pi\)
−0.962597 + 0.270937i \(0.912666\pi\)
\(168\) −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 \(-0.986560\pi\)
0.999109 0.0422097i \(-0.0134398\pi\)
\(174\) −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 0.833682 0.552245i \(-0.186229\pi\)
−0.352887 + 0.935666i \(0.614800\pi\)
\(180\) −49.5519 + 39.5163i −0.275288 + 0.219535i
\(181\) −17.4302 + 76.3667i −0.0962995 + 0.421916i −0.999980 0.00629122i \(-0.997997\pi\)
0.903681 + 0.428207i \(0.140855\pi\)
\(182\) 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 −0.999868 0.0162561i \(-0.994825\pi\)
0.0162561 + 0.999868i \(0.494825\pi\)
\(192\) −231.106 80.8675i −1.20368 0.421185i
\(193\) −77.8526 48.9180i −0.403381 0.253461i 0.315027 0.949083i \(-0.397986\pi\)
−0.718409 + 0.695621i \(0.755129\pi\)
\(194\) −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 0.451905 0.892066i \(-0.350745\pi\)
−0.970259 + 0.242071i \(0.922173\pi\)
\(198\) 20.9908 26.3217i 0.106014 0.132938i
\(199\) −44.0784 193.120i −0.221499 0.970452i −0.956350 0.292223i \(-0.905605\pi\)
0.734851 0.678229i \(-0.237252\pi\)
\(200\) −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 0.990677 + 0.136234i \(0.0434998\pi\)
−0.689602 + 0.724189i \(0.742214\pi\)
\(212\) 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 0.859267 0.511527i \(-0.170920\pi\)
0.135817 + 0.990734i \(0.456634\pi\)
\(224\) 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 −0.949883 0.312604i \(-0.898799\pi\)
0.516136 + 0.856507i \(0.327370\pi\)
\(228\) 28.3693 + 124.294i 0.124427 + 0.545149i
\(229\) −67.0912 + 42.1562i −0.292975 + 0.184088i −0.670497 0.741912i \(-0.733919\pi\)
0.377522 + 0.926001i \(0.376776\pi\)
\(230\) −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 −0.154834 0.987940i \(-0.549484\pi\)
0.568152 0.822924i \(-0.307659\pi\)
\(240\) −31.4247 89.8067i −0.130936 0.374195i
\(241\) −57.9406 + 120.315i −0.240417 + 0.499232i −0.985909 0.167283i \(-0.946501\pi\)
0.745491 + 0.666515i \(0.232215\pi\)
\(242\) 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 0.808545 0.588434i \(-0.200255\pi\)
−0.179346 + 0.983786i \(0.557398\pi\)
\(252\) −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 0.944914 + 0.327319i \(0.106145\pi\)
−0.709320 + 0.704887i \(0.750998\pi\)
\(258\) 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 0.971973 + 0.235093i \(0.0755396\pi\)
−0.895290 + 0.445483i \(0.853032\pi\)
\(264\) 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 0.974631 0.223819i \(-0.0718526\pi\)
−0.901546 + 0.432683i \(0.857567\pi\)
\(270\) 2.16582 4.49736i 0.00802154 0.0166569i
\(271\) 6.36322 10.1270i 0.0234805 0.0373691i −0.834778 0.550587i \(-0.814404\pi\)
0.858258 + 0.513218i \(0.171547\pi\)
\(272\) −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 0.200030 0.979790i \(-0.435896\pi\)
0.890747 + 0.454500i \(0.150182\pi\)
\(278\) −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 0.402112 0.915591i \(-0.368276\pi\)
−0.465125 + 0.885245i \(0.653991\pi\)
\(282\) −76.7709 + 26.8633i −0.272237 + 0.0952599i
\(283\) −352.519 80.4602i −1.24565 0.284312i −0.451632 0.892204i \(-0.649158\pi\)
−0.794019 + 0.607892i \(0.792015\pi\)
\(284\) 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 0.949890 + 0.312584i \(0.101195\pi\)
−0.130513 + 0.991447i \(0.541663\pi\)
\(294\) 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 −0.00179262 0.999998i \(-0.500571\pi\)
0.999998 + 0.00179262i \(0.000570608\pi\)
\(308\) 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 −0.935956 0.352116i \(-0.885462\pi\)
−0.512219 + 0.858855i \(0.671176\pi\)
\(312\) −187.683 42.8374i −0.601548 0.137299i
\(313\) 3.32825 + 4.17350i 0.0106334 + 0.0133339i 0.787120 0.616800i \(-0.211571\pi\)
−0.776486 + 0.630134i \(0.783000\pi\)
\(314\) −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 0.0682062 0.997671i \(-0.478272\pi\)
0.288499 + 0.957480i \(0.406844\pi\)
\(318\) 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 0.912003 0.410183i \(-0.134535\pi\)
−0.410183 + 0.912003i \(0.634535\pi\)
\(332\) 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 −0.172117 0.985077i \(-0.555061\pi\)
−0.748751 + 0.662851i \(0.769346\pi\)
\(338\) 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 \(-0.753784\pi\)
0.715463 0.698651i \(-0.246216\pi\)
\(348\) 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 0.0815384 0.996670i \(-0.474017\pi\)
−0.953538 + 0.301274i \(0.902588\pi\)
\(354\) 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 −0.989413 0.145127i \(-0.953641\pi\)
0.864039 + 0.503424i \(0.167927\pi\)
\(360\) 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 0.548484 0.836161i \(-0.315205\pi\)
−0.515377 + 0.856964i \(0.672348\pi\)
\(368\) −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 0.643216 + 0.765685i \(0.277600\pi\)
−0.247300 + 0.968939i \(0.579543\pi\)
\(374\) 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 0.815693 + 0.578484i \(0.196356\pi\)
−0.666517 + 0.745489i \(0.732216\pi\)
\(380\) −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 −0.850506 0.525965i \(-0.823704\pi\)
0.323522 + 0.946220i \(0.395133\pi\)
\(384\) −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 0.468046 0.883704i \(-0.344958\pi\)
−0.883704 + 0.468046i \(0.844958\pi\)
\(390\) −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 0.633102 0.774068i \(-0.281781\pi\)
−0.210458 + 0.977603i \(0.567496\pi\)
\(398\) −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 −0.866883 0.498511i \(-0.833880\pi\)
0.678912 + 0.734220i \(0.262452\pi\)
\(402\) 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 −0.899287 0.437360i \(-0.855914\pi\)
−0.00386193 0.999993i \(-0.501229\pi\)
\(410\) −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 0.825343 0.564632i \(-0.190982\pi\)
−0.956040 + 0.293237i \(0.905268\pi\)
\(420\) 231.447 + 26.0778i 0.551064 + 0.0620900i
\(421\) 48.8429 433.493i 0.116016 1.02967i −0.791937 0.610603i \(-0.790927\pi\)
0.907953 0.419071i \(-0.137644\pi\)
\(422\) 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 0.960032 0.279889i \(-0.0902978\pi\)
−0.986399 + 0.164371i \(0.947441\pi\)
\(432\) 135.402 85.0788i 0.313431 0.196942i
\(433\) −270.069 + 30.4294i −0.623716 + 0.0702759i −0.418166 0.908371i \(-0.637327\pi\)
−0.205550 + 0.978647i \(0.565898\pi\)
\(434\) 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 0.411257 0.911520i \(-0.365090\pi\)
0.766023 + 0.642813i \(0.222233\pi\)
\(440\) −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 −0.981084 0.193580i \(-0.937990\pi\)
0.646348 0.763043i \(-0.276296\pi\)
\(444\) 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 −0.780729 0.624869i \(-0.785152\pi\)
−0.900201 + 0.435474i \(0.856581\pi\)
\(450\) 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 0.460763 0.887523i \(-0.347576\pi\)
0.0300518 + 0.999548i \(0.490433\pi\)
\(458\) 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 0.454320 0.890839i \(-0.349882\pi\)
0.999740 0.0228077i \(-0.00726055\pi\)
\(462\) −122.943 + 13.8524i −0.266111 + 0.0299835i
\(463\) 582.383i 1.25785i 0.777467 + 0.628923i \(0.216504\pi\)
−0.777467 + 0.628923i \(0.783496\pi\)
\(464\) 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 0.945504 0.325612i \(-0.105570\pi\)
−0.703605 + 0.710592i \(0.748427\pi\)
\(468\) −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 0.965901 + 0.258912i \(0.0833641\pi\)
−0.999297 + 0.0374877i \(0.988064\pi\)
\(480\) −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 0.963536 0.267580i \(-0.0862239\pi\)
−0.475278 + 0.879836i \(0.657653\pi\)
\(488\) −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 0.267502 0.963557i \(-0.413802\pi\)
0.475207 + 0.879874i \(0.342373\pi\)
\(492\) 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 −0.838842 0.544375i \(-0.816767\pi\)
0.344067 + 0.938945i \(0.388195\pi\)
\(500\) 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 −0.239912 0.970795i \(-0.577118\pi\)
0.978750 0.205059i \(-0.0657386\pi\)
\(504\) −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 0.180904 0.983501i \(-0.442098\pi\)
0.881723 + 0.471767i \(0.156384\pi\)
\(510\) 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 \(0.143310\pi\)
−0.900350 + 0.435166i \(0.856690\pi\)
\(522\) −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 0.0923617 0.995726i \(-0.470558\pi\)
−0.857043 + 0.515244i \(0.827701\pi\)
\(542\) −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 −0.983388 0.181514i \(-0.941900\pi\)
0.807246 0.590215i \(-0.200957\pi\)
\(548\) 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 −0.561273 0.827631i \(-0.689688\pi\)
0.681985 + 0.731366i \(0.261117\pi\)
\(558\) −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 0.457448 0.889236i \(-0.348764\pi\)
−0.889236 + 0.457448i \(0.848764\pi\)
\(564\) −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 0.208751 0.977969i \(-0.433060\pi\)
−0.446545 + 0.894761i \(0.647346\pi\)
\(570\) 12.7668 + 8.02194i 0.0223980 + 0.0140736i
\(571\) −515.966 248.476i −0.903618 0.435159i −0.0764234 0.997075i \(-0.524350\pi\)
−0.827194 + 0.561916i \(0.810064\pi\)
\(572\) 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 0.0614016 0.998113i \(-0.480443\pi\)
0.925910 + 0.377744i \(0.123300\pi\)
\(578\) −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 −0.890154 0.455660i \(-0.849403\pi\)
0.999704 0.0243124i \(-0.00773965\pi\)
\(588\) 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 0.963589 0.267389i \(-0.0861609\pi\)
−0.809841 + 0.586650i \(0.800447\pi\)
\(594\) −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 0.998541 + 0.0539909i \(0.0171942\pi\)
0.481895 + 0.876229i \(0.339949\pi\)
\(600\) 238.178 + 114.700i 0.396963 + 0.191167i
\(601\) −513.064 + 179.529i −0.853683 + 0.298717i −0.721420 0.692498i \(-0.756510\pi\)
−0.132263 + 0.991215i \(0.542224\pi\)
\(602\) −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 −0.340600 0.940208i \(-0.610630\pi\)
−0.122844 + 0.992426i \(0.539202\pi\)
\(608\) 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 −0.654183 0.756336i \(-0.726987\pi\)
−0.261236 + 0.965275i \(0.584130\pi\)
\(614\) −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 −0.691836 0.722055i \(-0.743198\pi\)
0.0907049 0.995878i \(-0.471088\pi\)
\(618\) 23.1925 48.1597i 0.0375283 0.0779283i
\(619\) −78.0793 + 124.263i −0.126138 + 0.200747i −0.903823 0.427907i \(-0.859251\pi\)
0.777685 + 0.628654i \(0.216394\pi\)
\(620\) −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 −0.0342495 0.999413i \(-0.510904\pi\)
−0.464487 + 0.885580i \(0.653761\pi\)
\(632\) 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 0.785231 + 0.619203i \(0.212544\pi\)
0.217183 + 0.976131i \(0.430313\pi\)
\(642\) −91.6515 + 20.9189i −0.142759 + 0.0325839i
\(643\) −789.054 629.250i −1.22714 0.978615i −0.999989 0.00475703i \(-0.998486\pi\)
−0.227156 0.973858i \(-0.572943\pi\)
\(644\) 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 −0.998606 0.0527747i \(-0.983193\pi\)
0.663882 + 0.747837i \(0.268908\pi\)
\(648\) 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 0.912378 + 0.409349i \(0.134244\pi\)
−0.980591 + 0.196063i \(0.937184\pi\)
\(654\) −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 0.166635 0.986019i \(-0.446710\pi\)
0.745053 + 0.667005i \(0.232424\pi\)
\(660\) −223.996 51.1257i −0.339388 0.0774632i
\(661\) −638.575 800.748i −0.966074 1.21142i −0.977382 0.211483i \(-0.932171\pi\)
0.0113074 0.999936i \(-0.496401\pi\)
\(662\) 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 −0.727385 0.686230i \(-0.759264\pi\)
0.507166 + 0.861848i \(0.330693\pi\)
\(674\) −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 0.0862069 + 0.996277i \(0.472525\pi\)
−0.935019 + 0.354599i \(0.884617\pi\)
\(678\) 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 0.0977481 0.995211i \(-0.468836\pi\)
0.839032 + 0.544081i \(0.183122\pi\)
\(684\) 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 0.314919 0.949119i \(-0.398023\pi\)
0.855246 0.518222i \(-0.173406\pi\)
\(692\) −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 0.190265 0.981733i \(-0.439065\pi\)
−0.914781 + 0.403951i \(0.867637\pi\)
\(702\) 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 −0.972111 0.234519i \(-0.924648\pi\)
0.422747 0.906248i \(-0.361066\pi\)
\(710\) 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 0.488235 0.872712i \(-0.337641\pi\)
−0.959474 + 0.281797i \(0.909070\pi\)
\(720\) −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 −0.998173 0.0604182i \(-0.980757\pi\)
0.959703 0.281018i \(-0.0906720\pi\)
\(728\) 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 0.851969 + 0.523592i \(0.175408\pi\)
−0.339642 + 0.940555i \(0.610306\pi\)
\(734\) 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 −0.823198 0.567754i \(-0.807813\pi\)
−0.928896 + 0.370340i \(0.879241\pi\)
\(740\) −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 0.641306 0.767285i \(-0.278393\pi\)
0.0229990 + 0.999735i \(0.492679\pi\)
\(744\) −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 −0.544236 0.838932i \(-0.683180\pi\)
0.519717 + 0.854339i \(0.326038\pi\)
\(752\) 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 0.800578 0.599228i \(-0.204526\pi\)
−0.887244 + 0.461301i \(0.847383\pi\)
\(758\) 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 0.814461 + 0.580218i \(0.197033\pi\)
−0.985551 + 0.169377i \(0.945824\pi\)
\(762\) −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 0.388892 + 0.921283i \(0.372858\pi\)
−0.584146 + 0.811648i \(0.698571\pi\)
\(770\) 35.2246 16.9633i 0.0457463 0.0220302i
\(771\) 868.988 868.988i 1.12709 1.12709i