Properties

Label 144.2.u.a.83.9
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.9
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.639562 + 1.26133i) q^{2} +(-1.65787 + 0.501476i) q^{3} +(-1.18192 - 1.61340i) q^{4} +(0.997280 - 3.72190i) q^{5} +(0.427781 - 2.41185i) q^{6} +(-0.481387 + 0.833787i) q^{7} +(2.79095 - 0.458925i) q^{8} +(2.49704 - 1.66276i) q^{9} +O(q^{10})\) \(q+(-0.639562 + 1.26133i) q^{2} +(-1.65787 + 0.501476i) q^{3} +(-1.18192 - 1.61340i) q^{4} +(0.997280 - 3.72190i) q^{5} +(0.427781 - 2.41185i) q^{6} +(-0.481387 + 0.833787i) q^{7} +(2.79095 - 0.458925i) q^{8} +(2.49704 - 1.66276i) q^{9} +(4.05673 + 3.63829i) q^{10} +(-1.00684 - 3.75758i) q^{11} +(2.76855 + 2.08210i) q^{12} +(-0.430868 + 1.60802i) q^{13} +(-0.743806 - 1.14045i) q^{14} +(0.213084 + 6.67053i) q^{15} +(-1.20613 + 3.81382i) q^{16} -2.58216i q^{17} +(0.500278 + 4.21304i) q^{18} +(4.02190 - 4.02190i) q^{19} +(-7.18363 + 2.78998i) q^{20} +(0.379952 - 1.62371i) q^{21} +(5.38350 + 1.13324i) q^{22} +(0.600513 - 0.346706i) q^{23} +(-4.39688 + 2.16043i) q^{24} +(-8.52786 - 4.92356i) q^{25} +(-1.75268 - 1.57190i) q^{26} +(-3.30593 + 4.00884i) q^{27} +(1.91419 - 0.208800i) q^{28} +(-1.54233 - 5.75605i) q^{29} +(-8.55004 - 3.99745i) q^{30} +(-3.07839 + 1.77731i) q^{31} +(-4.03911 - 3.96050i) q^{32} +(3.55354 + 5.72466i) q^{33} +(3.25696 + 1.65145i) q^{34} +(2.62320 + 2.62320i) q^{35} +(-5.63401 - 2.06349i) q^{36} +(-2.11774 + 2.11774i) q^{37} +(2.50070 + 7.64520i) q^{38} +(-0.0920616 - 2.88196i) q^{39} +(1.07528 - 10.8453i) q^{40} +(4.97738 + 8.62108i) q^{41} +(1.80504 + 1.51771i) q^{42} +(6.65259 - 1.78256i) q^{43} +(-4.87248 + 6.06560i) q^{44} +(-3.69837 - 10.9520i) q^{45} +(0.0532467 + 0.979187i) q^{46} +(-2.88971 + 5.00512i) q^{47} +(0.0870579 - 6.92766i) q^{48} +(3.03653 + 5.25943i) q^{49} +(11.6643 - 7.60754i) q^{50} +(1.29489 + 4.28087i) q^{51} +(3.10364 - 1.20539i) q^{52} +(6.68090 + 6.68090i) q^{53} +(-2.94213 - 6.73379i) q^{54} -14.9894 q^{55} +(-0.960881 + 2.54798i) q^{56} +(-4.65088 + 8.68465i) q^{57} +(8.24671 + 1.73596i) q^{58} +(-8.75083 - 2.34478i) q^{59} +(10.5104 - 8.22783i) q^{60} +(-2.12855 + 0.570345i) q^{61} +(-0.272957 - 5.01957i) q^{62} +(0.184342 + 2.88243i) q^{63} +(7.57878 - 2.56167i) q^{64} +(5.55520 + 3.20730i) q^{65} +(-9.49341 + 0.820923i) q^{66} +(4.20548 + 1.12686i) q^{67} +(-4.16606 + 3.05191i) q^{68} +(-0.821706 + 0.875935i) q^{69} +(-4.98642 + 1.63103i) q^{70} -9.40024i q^{71} +(6.20604 - 5.78663i) q^{72} -3.77840i q^{73} +(-1.31675 - 4.02560i) q^{74} +(16.6071 + 3.88610i) q^{75} +(-11.2425 - 1.73537i) q^{76} +(3.61770 + 0.969360i) q^{77} +(3.69398 + 1.72707i) q^{78} +(9.52430 + 5.49886i) q^{79} +(12.9918 + 8.29254i) q^{80} +(3.47046 - 8.30397i) q^{81} +(-14.0574 + 0.764420i) q^{82} +(8.79083 - 2.35550i) q^{83} +(-3.06877 + 1.30608i) q^{84} +(-9.61053 - 2.57514i) q^{85} +(-2.00635 + 9.53118i) q^{86} +(5.44349 + 8.76932i) q^{87} +(-4.53449 - 10.0251i) q^{88} +13.0545 q^{89} +(16.1794 + 2.33960i) q^{90} +(-1.13333 - 1.13333i) q^{91} +(-1.26914 - 0.559089i) q^{92} +(4.21228 - 4.49027i) q^{93} +(-4.46497 - 6.84597i) q^{94} +(-10.9581 - 18.9801i) q^{95} +(8.68240 + 4.54048i) q^{96} +(1.76559 - 3.05809i) q^{97} +(-8.57594 + 0.466347i) q^{98} +(-8.76208 - 7.70871i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.639562 + 1.26133i −0.452239 + 0.891897i
\(3\) −1.65787 + 0.501476i −0.957170 + 0.289527i
\(4\) −1.18192 1.61340i −0.590960 0.806701i
\(5\) 0.997280 3.72190i 0.445997 1.66448i −0.267292 0.963616i \(-0.586129\pi\)
0.713290 0.700869i \(-0.247204\pi\)
\(6\) 0.427781 2.41185i 0.174641 0.984632i
\(7\) −0.481387 + 0.833787i −0.181947 + 0.315142i −0.942544 0.334083i \(-0.891573\pi\)
0.760596 + 0.649225i \(0.224907\pi\)
\(8\) 2.79095 0.458925i 0.986749 0.162255i
\(9\) 2.49704 1.66276i 0.832348 0.554253i
\(10\) 4.05673 + 3.63829i 1.28285 + 1.15053i
\(11\) −1.00684 3.75758i −0.303574 1.13295i −0.934166 0.356839i \(-0.883855\pi\)
0.630592 0.776114i \(-0.282812\pi\)
\(12\) 2.76855 + 2.08210i 0.799211 + 0.601050i
\(13\) −0.430868 + 1.60802i −0.119501 + 0.445985i −0.999584 0.0288351i \(-0.990820\pi\)
0.880083 + 0.474820i \(0.157487\pi\)
\(14\) −0.743806 1.14045i −0.198791 0.304798i
\(15\) 0.213084 + 6.67053i 0.0550181 + 1.72232i
\(16\) −1.20613 + 3.81382i −0.301532 + 0.953456i
\(17\) 2.58216i 0.626265i −0.949709 0.313133i \(-0.898622\pi\)
0.949709 0.313133i \(-0.101378\pi\)
\(18\) 0.500278 + 4.21304i 0.117917 + 0.993024i
\(19\) 4.02190 4.02190i 0.922686 0.922686i −0.0745325 0.997219i \(-0.523746\pi\)
0.997219 + 0.0745325i \(0.0237465\pi\)
\(20\) −7.18363 + 2.78998i −1.60631 + 0.623858i
\(21\) 0.379952 1.62371i 0.0829123 0.354323i
\(22\) 5.38350 + 1.13324i 1.14777 + 0.241609i
\(23\) 0.600513 0.346706i 0.125216 0.0722933i −0.436084 0.899906i \(-0.643635\pi\)
0.561300 + 0.827613i \(0.310302\pi\)
\(24\) −4.39688 + 2.16043i −0.897509 + 0.440996i
\(25\) −8.52786 4.92356i −1.70557 0.984712i
\(26\) −1.75268 1.57190i −0.343730 0.308275i
\(27\) −3.30593 + 4.00884i −0.636227 + 0.771502i
\(28\) 1.91419 0.208800i 0.361749 0.0394594i
\(29\) −1.54233 5.75605i −0.286403 1.06887i −0.947808 0.318842i \(-0.896706\pi\)
0.661405 0.750029i \(-0.269961\pi\)
\(30\) −8.55004 3.99745i −1.56102 0.729831i
\(31\) −3.07839 + 1.77731i −0.552894 + 0.319214i −0.750289 0.661110i \(-0.770085\pi\)
0.197394 + 0.980324i \(0.436752\pi\)
\(32\) −4.03911 3.96050i −0.714020 0.700125i
\(33\) 3.55354 + 5.72466i 0.618592 + 0.996536i
\(34\) 3.25696 + 1.65145i 0.558564 + 0.283221i
\(35\) 2.62320 + 2.62320i 0.443401 + 0.443401i
\(36\) −5.63401 2.06349i −0.939001 0.343914i
\(37\) −2.11774 + 2.11774i −0.348154 + 0.348154i −0.859422 0.511267i \(-0.829176\pi\)
0.511267 + 0.859422i \(0.329176\pi\)
\(38\) 2.50070 + 7.64520i 0.405667 + 1.24022i
\(39\) −0.0920616 2.88196i −0.0147417 0.461482i
\(40\) 1.07528 10.8453i 0.170017 1.71479i
\(41\) 4.97738 + 8.62108i 0.777337 + 1.34639i 0.933472 + 0.358651i \(0.116763\pi\)
−0.156135 + 0.987736i \(0.549904\pi\)
\(42\) 1.80504 + 1.51771i 0.278523 + 0.234188i
\(43\) 6.65259 1.78256i 1.01451 0.271837i 0.286997 0.957931i \(-0.407343\pi\)
0.727513 + 0.686094i \(0.240676\pi\)
\(44\) −4.87248 + 6.06560i −0.734554 + 0.914424i
\(45\) −3.69837 10.9520i −0.551321 1.63263i
\(46\) 0.0532467 + 0.979187i 0.00785080 + 0.144373i
\(47\) −2.88971 + 5.00512i −0.421507 + 0.730072i −0.996087 0.0883767i \(-0.971832\pi\)
0.574580 + 0.818448i \(0.305165\pi\)
\(48\) 0.0870579 6.92766i 0.0125657 0.999921i
\(49\) 3.03653 + 5.25943i 0.433790 + 0.751347i
\(50\) 11.6643 7.60754i 1.64959 1.07587i
\(51\) 1.29489 + 4.28087i 0.181321 + 0.599442i
\(52\) 3.10364 1.20539i 0.430397 0.167158i
\(53\) 6.68090 + 6.68090i 0.917692 + 0.917692i 0.996861 0.0791696i \(-0.0252269\pi\)
−0.0791696 + 0.996861i \(0.525227\pi\)
\(54\) −2.94213 6.73379i −0.400373 0.916352i
\(55\) −14.9894 −2.02118
\(56\) −0.960881 + 2.54798i −0.128403 + 0.340488i
\(57\) −4.65088 + 8.68465i −0.616025 + 1.15031i
\(58\) 8.24671 + 1.73596i 1.08285 + 0.227943i
\(59\) −8.75083 2.34478i −1.13926 0.305264i −0.360607 0.932718i \(-0.617430\pi\)
−0.778654 + 0.627454i \(0.784097\pi\)
\(60\) 10.5104 8.22783i 1.35689 1.06221i
\(61\) −2.12855 + 0.570345i −0.272534 + 0.0730251i −0.392497 0.919753i \(-0.628389\pi\)
0.119964 + 0.992778i \(0.461722\pi\)
\(62\) −0.272957 5.01957i −0.0346655 0.637486i
\(63\) 0.184342 + 2.88243i 0.0232249 + 0.363153i
\(64\) 7.57878 2.56167i 0.947347 0.320209i
\(65\) 5.55520 + 3.20730i 0.689038 + 0.397816i
\(66\) −9.49341 + 0.820923i −1.16856 + 0.101049i
\(67\) 4.20548 + 1.12686i 0.513782 + 0.137667i 0.506389 0.862305i \(-0.330980\pi\)
0.00739290 + 0.999973i \(0.497647\pi\)
\(68\) −4.16606 + 3.05191i −0.505208 + 0.370098i
\(69\) −0.821706 + 0.875935i −0.0989217 + 0.105450i
\(70\) −4.98642 + 1.63103i −0.595991 + 0.194945i
\(71\) 9.40024i 1.11560i −0.829974 0.557801i \(-0.811645\pi\)
0.829974 0.557801i \(-0.188355\pi\)
\(72\) 6.20604 5.78663i 0.731389 0.681961i
\(73\) 3.77840i 0.442228i −0.975248 0.221114i \(-0.929031\pi\)
0.975248 0.221114i \(-0.0709693\pi\)
\(74\) −1.31675 4.02560i −0.153069 0.467967i
\(75\) 16.6071 + 3.88610i 1.91762 + 0.448728i
\(76\) −11.2425 1.73537i −1.28960 0.199060i
\(77\) 3.61770 + 0.969360i 0.412275 + 0.110469i
\(78\) 3.69398 + 1.72707i 0.418261 + 0.195552i
\(79\) 9.52430 + 5.49886i 1.07157 + 0.618670i 0.928609 0.371059i \(-0.121005\pi\)
0.142958 + 0.989729i \(0.454339\pi\)
\(80\) 12.9918 + 8.29254i 1.45253 + 0.927134i
\(81\) 3.47046 8.30397i 0.385607 0.922663i
\(82\) −14.0574 + 0.764420i −1.55238 + 0.0844161i
\(83\) 8.79083 2.35550i 0.964919 0.258549i 0.258238 0.966081i \(-0.416858\pi\)
0.706681 + 0.707532i \(0.250191\pi\)
\(84\) −3.06877 + 1.30608i −0.334830 + 0.142505i
\(85\) −9.61053 2.57514i −1.04241 0.279313i
\(86\) −2.00635 + 9.53118i −0.216350 + 1.02777i
\(87\) 5.44349 + 8.76932i 0.583604 + 0.940170i
\(88\) −4.53449 10.0251i −0.483378 1.06868i
\(89\) 13.0545 1.38378 0.691889 0.722004i \(-0.256779\pi\)
0.691889 + 0.722004i \(0.256779\pi\)
\(90\) 16.1794 + 2.33960i 1.70546 + 0.246616i
\(91\) −1.13333 1.13333i −0.118806 0.118806i
\(92\) −1.26914 0.559089i −0.132316 0.0582890i
\(93\) 4.21228 4.49027i 0.436793 0.465620i
\(94\) −4.46497 6.84597i −0.460527 0.706108i
\(95\) −10.9581 18.9801i −1.12428 1.94731i
\(96\) 8.68240 + 4.54048i 0.886144 + 0.463410i
\(97\) 1.76559 3.05809i 0.179268 0.310502i −0.762362 0.647151i \(-0.775960\pi\)
0.941630 + 0.336649i \(0.109294\pi\)
\(98\) −8.57594 + 0.466347i −0.866301 + 0.0471082i
\(99\) −8.76208 7.70871i −0.880622 0.774755i
\(100\) 2.13557 + 19.5781i 0.213557 + 1.95781i
\(101\) −18.3403 + 4.91426i −1.82492 + 0.488987i −0.997375 0.0724058i \(-0.976932\pi\)
−0.827549 + 0.561393i \(0.810266\pi\)
\(102\) −6.22777 1.10460i −0.616641 0.109372i
\(103\) 1.72391 + 2.98591i 0.169862 + 0.294210i 0.938371 0.345629i \(-0.112334\pi\)
−0.768509 + 0.639839i \(0.779001\pi\)
\(104\) −0.464569 + 4.68564i −0.0455547 + 0.459465i
\(105\) −5.66438 3.03344i −0.552787 0.296033i
\(106\) −12.6997 + 4.15399i −1.23350 + 0.403471i
\(107\) −6.09696 + 6.09696i −0.589415 + 0.589415i −0.937473 0.348058i \(-0.886841\pi\)
0.348058 + 0.937473i \(0.386841\pi\)
\(108\) 10.3752 + 0.595667i 0.998356 + 0.0573181i
\(109\) 3.96541 + 3.96541i 0.379817 + 0.379817i 0.871036 0.491219i \(-0.163448\pi\)
−0.491219 + 0.871036i \(0.663448\pi\)
\(110\) 9.58668 18.9067i 0.914054 1.80268i
\(111\) 2.44894 4.57293i 0.232443 0.434043i
\(112\) −2.59930 2.84158i −0.245611 0.268504i
\(113\) 5.53559 3.19597i 0.520744 0.300652i −0.216495 0.976284i \(-0.569462\pi\)
0.737239 + 0.675632i \(0.236129\pi\)
\(114\) −7.97970 11.4207i −0.747368 1.06965i
\(115\) −0.691527 2.58081i −0.0644852 0.240662i
\(116\) −7.46390 + 9.29159i −0.693006 + 0.862702i
\(117\) 1.59786 + 4.73173i 0.147722 + 0.437449i
\(118\) 8.55424 9.53808i 0.787482 0.878051i
\(119\) 2.15297 + 1.24302i 0.197362 + 0.113947i
\(120\) 3.65598 + 18.5193i 0.333744 + 1.69057i
\(121\) −3.57940 + 2.06657i −0.325400 + 0.187870i
\(122\) 0.641949 3.04959i 0.0581193 0.276097i
\(123\) −12.5751 11.7966i −1.13386 1.06366i
\(124\) 6.50592 + 2.86604i 0.584249 + 0.257378i
\(125\) −13.2066 + 13.2066i −1.18123 + 1.18123i
\(126\) −3.75361 1.61098i −0.334398 0.143517i
\(127\) 3.08724i 0.273948i −0.990575 0.136974i \(-0.956262\pi\)
0.990575 0.136974i \(-0.0437377\pi\)
\(128\) −1.61598 + 11.1977i −0.142833 + 0.989747i
\(129\) −10.1352 + 6.29135i −0.892354 + 0.553922i
\(130\) −7.59837 + 4.95569i −0.666421 + 0.434643i
\(131\) −1.36018 + 5.07628i −0.118840 + 0.443516i −0.999545 0.0301478i \(-0.990402\pi\)
0.880706 + 0.473664i \(0.157069\pi\)
\(132\) 5.03617 12.4994i 0.438342 1.08793i
\(133\) 1.41732 + 5.28949i 0.122897 + 0.458657i
\(134\) −4.11101 + 4.58382i −0.355137 + 0.395982i
\(135\) 11.6236 + 16.3023i 1.00040 + 1.40308i
\(136\) −1.18502 7.20667i −0.101614 0.617966i
\(137\) 0.807507 1.39864i 0.0689899 0.119494i −0.829467 0.558556i \(-0.811356\pi\)
0.898457 + 0.439062i \(0.144689\pi\)
\(138\) −0.579314 1.59666i −0.0493145 0.135917i
\(139\) 1.02028 3.80774i 0.0865390 0.322968i −0.909062 0.416661i \(-0.863200\pi\)
0.995601 + 0.0936925i \(0.0298671\pi\)
\(140\) 1.13186 7.33268i 0.0956594 0.619724i
\(141\) 2.28080 9.74694i 0.192078 0.820840i
\(142\) 11.8568 + 6.01203i 0.995003 + 0.504519i
\(143\) 6.47609 0.541558
\(144\) 3.32972 + 11.5288i 0.277477 + 0.960732i
\(145\) −22.9616 −1.90685
\(146\) 4.76582 + 2.41652i 0.394422 + 0.199993i
\(147\) −7.67164 7.19669i −0.632746 0.593573i
\(148\) 5.91977 + 0.913763i 0.486602 + 0.0751109i
\(149\) 1.15611 4.31466i 0.0947122 0.353471i −0.902263 0.431185i \(-0.858096\pi\)
0.996976 + 0.0777144i \(0.0247622\pi\)
\(150\) −15.5229 + 18.4617i −1.26744 + 1.50739i
\(151\) 9.60303 16.6329i 0.781483 1.35357i −0.149594 0.988747i \(-0.547797\pi\)
0.931078 0.364821i \(-0.118870\pi\)
\(152\) 9.37915 13.0706i 0.760749 1.06017i
\(153\) −4.29351 6.44776i −0.347109 0.521271i
\(154\) −3.53643 + 3.94316i −0.284974 + 0.317749i
\(155\) 3.54495 + 13.2299i 0.284737 + 1.06265i
\(156\) −4.54094 + 3.55478i −0.363566 + 0.284610i
\(157\) −4.88175 + 18.2189i −0.389606 + 1.45403i 0.441170 + 0.897423i \(0.354564\pi\)
−0.830776 + 0.556606i \(0.812103\pi\)
\(158\) −13.0273 + 8.49645i −1.03639 + 0.675941i
\(159\) −14.4263 7.72573i −1.14408 0.612690i
\(160\) −18.7687 + 11.0834i −1.48380 + 0.876222i
\(161\) 0.667600i 0.0526142i
\(162\) 8.25449 + 9.68831i 0.648534 + 0.761186i
\(163\) 10.2654 10.2654i 0.804052 0.804052i −0.179675 0.983726i \(-0.557504\pi\)
0.983726 + 0.179675i \(0.0575045\pi\)
\(164\) 8.02639 18.2199i 0.626756 1.42274i
\(165\) 24.8505 7.51684i 1.93461 0.585185i
\(166\) −2.65122 + 12.5947i −0.205774 + 0.977535i
\(167\) −4.99449 + 2.88357i −0.386485 + 0.223137i −0.680636 0.732622i \(-0.738296\pi\)
0.294151 + 0.955759i \(0.404963\pi\)
\(168\) 0.315264 4.70606i 0.0243231 0.363081i
\(169\) 8.85824 + 5.11431i 0.681403 + 0.393408i
\(170\) 9.39464 10.4751i 0.720536 0.803405i
\(171\) 3.35541 16.7303i 0.256594 1.27940i
\(172\) −10.7388 8.62645i −0.818827 0.657761i
\(173\) 2.06432 + 7.70414i 0.156947 + 0.585735i 0.998931 + 0.0462316i \(0.0147212\pi\)
−0.841984 + 0.539503i \(0.818612\pi\)
\(174\) −14.5425 + 1.25753i −1.10246 + 0.0953331i
\(175\) 8.21040 4.74028i 0.620648 0.358331i
\(176\) 15.5451 + 0.692205i 1.17176 + 0.0521769i
\(177\) 15.6836 0.500998i 1.17885 0.0376573i
\(178\) −8.34918 + 16.4661i −0.625798 + 1.23419i
\(179\) 1.48408 + 1.48408i 0.110925 + 0.110925i 0.760391 0.649466i \(-0.225007\pi\)
−0.649466 + 0.760391i \(0.725007\pi\)
\(180\) −13.2988 + 18.9113i −0.991232 + 1.40957i
\(181\) 4.93884 4.93884i 0.367101 0.367101i −0.499318 0.866419i \(-0.666416\pi\)
0.866419 + 0.499318i \(0.166416\pi\)
\(182\) 2.15435 0.704674i 0.159691 0.0522339i
\(183\) 3.24285 2.01297i 0.239718 0.148803i
\(184\) 1.51689 1.24323i 0.111826 0.0916521i
\(185\) 5.77004 + 9.99400i 0.424222 + 0.734774i
\(186\) 2.96972 + 8.18489i 0.217750 + 0.600145i
\(187\) −9.70266 + 2.59982i −0.709529 + 0.190118i
\(188\) 11.4907 1.25340i 0.838043 0.0914134i
\(189\) −1.75108 4.68625i −0.127373 0.340875i
\(190\) 30.9486 1.68294i 2.24525 0.122093i
\(191\) −3.80239 + 6.58592i −0.275131 + 0.476541i −0.970168 0.242433i \(-0.922055\pi\)
0.695037 + 0.718974i \(0.255388\pi\)
\(192\) −11.2800 + 8.04748i −0.814063 + 0.580777i
\(193\) 0.964071 + 1.66982i 0.0693954 + 0.120196i 0.898635 0.438696i \(-0.144560\pi\)
−0.829240 + 0.558893i \(0.811226\pi\)
\(194\) 2.72807 + 4.18283i 0.195864 + 0.300310i
\(195\) −10.8182 2.53147i −0.774705 0.181283i
\(196\) 4.89663 11.1154i 0.349759 0.793955i
\(197\) −16.2088 16.2088i −1.15483 1.15483i −0.985573 0.169254i \(-0.945864\pi\)
−0.169254 0.985573i \(-0.554136\pi\)
\(198\) 15.3271 6.12170i 1.08925 0.435050i
\(199\) −6.55635 −0.464768 −0.232384 0.972624i \(-0.574653\pi\)
−0.232384 + 0.972624i \(0.574653\pi\)
\(200\) −26.0603 9.82775i −1.84274 0.694927i
\(201\) −7.53722 + 0.240770i −0.531635 + 0.0169826i
\(202\) 5.53122 26.2762i 0.389175 1.84878i
\(203\) 5.54178 + 1.48491i 0.388956 + 0.104221i
\(204\) 5.37631 7.14883i 0.376417 0.500518i
\(205\) 37.0507 9.92769i 2.58773 0.693380i
\(206\) −4.86877 + 0.264757i −0.339223 + 0.0184465i
\(207\) 0.923018 1.86425i 0.0641542 0.129574i
\(208\) −5.61303 3.58273i −0.389194 0.248418i
\(209\) −19.1620 11.0632i −1.32546 0.765257i
\(210\) 7.44890 5.20459i 0.514023 0.359151i
\(211\) 5.83649 + 1.56388i 0.401800 + 0.107662i 0.454059 0.890971i \(-0.349975\pi\)
−0.0522589 + 0.998634i \(0.516642\pi\)
\(212\) 2.88268 18.6753i 0.197983 1.28262i
\(213\) 4.71399 + 15.5843i 0.322997 + 1.06782i
\(214\) −3.79091 11.5897i −0.259141 0.792254i
\(215\) 26.5380i 1.80988i
\(216\) −7.38693 + 12.7056i −0.502617 + 0.864509i
\(217\) 3.42229i 0.232320i
\(218\) −7.53783 + 2.46558i −0.510526 + 0.166990i
\(219\) 1.89477 + 6.26408i 0.128037 + 0.423287i
\(220\) 17.7163 + 24.1840i 1.19444 + 1.63048i
\(221\) 4.15217 + 1.11257i 0.279305 + 0.0748395i
\(222\) 4.20173 + 6.01359i 0.282002 + 0.403606i
\(223\) 4.51028 + 2.60401i 0.302031 + 0.174377i 0.643355 0.765568i \(-0.277542\pi\)
−0.341324 + 0.939946i \(0.610875\pi\)
\(224\) 5.24659 1.46122i 0.350553 0.0976319i
\(225\) −29.4811 + 1.88542i −1.96541 + 0.125695i
\(226\) 0.490833 + 9.02624i 0.0326498 + 0.600416i
\(227\) −6.28589 + 1.68430i −0.417209 + 0.111791i −0.461316 0.887236i \(-0.652623\pi\)
0.0441067 + 0.999027i \(0.485956\pi\)
\(228\) 19.5088 2.76082i 1.29200 0.182840i
\(229\) 3.99522 + 1.07052i 0.264012 + 0.0707418i 0.388397 0.921492i \(-0.373029\pi\)
−0.124385 + 0.992234i \(0.539696\pi\)
\(230\) 3.69754 + 0.778345i 0.243808 + 0.0513225i
\(231\) −6.48378 + 0.207119i −0.426601 + 0.0136274i
\(232\) −6.94615 15.3570i −0.456037 1.00824i
\(233\) −17.2178 −1.12797 −0.563987 0.825783i \(-0.690733\pi\)
−0.563987 + 0.825783i \(0.690733\pi\)
\(234\) −6.99022 1.01081i −0.456965 0.0660786i
\(235\) 15.7467 + 15.7467i 1.02720 + 1.02720i
\(236\) 6.55972 + 16.8899i 0.427001 + 1.09944i
\(237\) −18.5476 4.34017i −1.20479 0.281924i
\(238\) −2.94482 + 1.92062i −0.190884 + 0.124496i
\(239\) 4.49270 + 7.78159i 0.290609 + 0.503349i 0.973954 0.226747i \(-0.0728089\pi\)
−0.683345 + 0.730095i \(0.739476\pi\)
\(240\) −25.6972 7.23284i −1.65875 0.466878i
\(241\) 0.560812 0.971356i 0.0361251 0.0625705i −0.847398 0.530959i \(-0.821832\pi\)
0.883523 + 0.468388i \(0.155165\pi\)
\(242\) −0.317381 5.83652i −0.0204020 0.375185i
\(243\) −1.58933 + 15.5072i −0.101956 + 0.994789i
\(244\) 3.43598 + 2.76011i 0.219966 + 0.176698i
\(245\) 22.6034 6.05655i 1.44408 0.386939i
\(246\) 22.9220 8.31675i 1.46145 0.530256i
\(247\) 4.73439 + 8.20020i 0.301242 + 0.521766i
\(248\) −7.77596 + 6.37312i −0.493774 + 0.404693i
\(249\) −13.3928 + 8.31349i −0.848735 + 0.526846i
\(250\) −8.21145 25.1043i −0.519338 1.58773i
\(251\) 0.699267 0.699267i 0.0441373 0.0441373i −0.684694 0.728831i \(-0.740064\pi\)
0.728831 + 0.684694i \(0.240064\pi\)
\(252\) 4.43265 3.70423i 0.279230 0.233344i
\(253\) −1.90740 1.90740i −0.119917 0.119917i
\(254\) 3.89403 + 1.97448i 0.244333 + 0.123890i
\(255\) 17.2244 0.550217i 1.07863 0.0344559i
\(256\) −13.0905 9.19991i −0.818157 0.574995i
\(257\) 5.79978 3.34851i 0.361781 0.208874i −0.308081 0.951360i \(-0.599687\pi\)
0.669862 + 0.742486i \(0.266353\pi\)
\(258\) −1.45340 16.8076i −0.0904846 1.04639i
\(259\) −0.746291 2.78520i −0.0463723 0.173064i
\(260\) −1.39115 12.7535i −0.0862755 0.790941i
\(261\) −13.4222 11.8086i −0.830812 0.730933i
\(262\) −5.53295 4.96224i −0.341827 0.306568i
\(263\) 12.2113 + 7.05022i 0.752984 + 0.434735i 0.826771 0.562539i \(-0.190175\pi\)
−0.0737874 + 0.997274i \(0.523509\pi\)
\(264\) 12.5449 + 14.3464i 0.772088 + 0.882961i
\(265\) 31.5284 18.2029i 1.93677 1.11820i
\(266\) −7.57827 1.59525i −0.464654 0.0978112i
\(267\) −21.6427 + 6.54653i −1.32451 + 0.400641i
\(268\) −3.15248 8.11699i −0.192568 0.495824i
\(269\) −13.2566 + 13.2566i −0.808267 + 0.808267i −0.984371 0.176105i \(-0.943650\pi\)
0.176105 + 0.984371i \(0.443650\pi\)
\(270\) −27.9966 + 4.23485i −1.70382 + 0.257725i
\(271\) 10.4494i 0.634755i 0.948299 + 0.317377i \(0.102802\pi\)
−0.948299 + 0.317377i \(0.897198\pi\)
\(272\) 9.84789 + 3.11441i 0.597116 + 0.188839i
\(273\) 2.44726 + 1.31058i 0.148115 + 0.0793197i
\(274\) 1.24770 + 1.91305i 0.0753765 + 0.115572i
\(275\) −9.91448 + 37.0013i −0.597866 + 2.23126i
\(276\) 2.38443 + 0.290455i 0.143526 + 0.0174833i
\(277\) 4.19068 + 15.6398i 0.251794 + 0.939707i 0.969846 + 0.243718i \(0.0783672\pi\)
−0.718052 + 0.695989i \(0.754966\pi\)
\(278\) 4.15029 + 3.72220i 0.248918 + 0.223243i
\(279\) −4.73163 + 9.55663i −0.283275 + 0.572140i
\(280\) 8.52505 + 6.11735i 0.509469 + 0.365582i
\(281\) 12.1751 21.0879i 0.726306 1.25800i −0.232129 0.972685i \(-0.574569\pi\)
0.958434 0.285313i \(-0.0920977\pi\)
\(282\) 10.8354 + 9.11063i 0.645240 + 0.542530i
\(283\) 2.27765 8.50029i 0.135392 0.505290i −0.864604 0.502454i \(-0.832431\pi\)
0.999996 0.00283598i \(-0.000902723\pi\)
\(284\) −15.1664 + 11.1103i −0.899957 + 0.659277i
\(285\) 27.6852 + 25.9712i 1.63993 + 1.53840i
\(286\) −4.14186 + 8.16850i −0.244913 + 0.483014i
\(287\) −9.58419 −0.565737
\(288\) −16.6712 3.17349i −0.982360 0.187000i
\(289\) 10.3325 0.607792
\(290\) 14.6854 28.9622i 0.862354 1.70072i
\(291\) −1.39355 + 5.95531i −0.0816916 + 0.349106i
\(292\) −6.09607 + 4.46577i −0.356746 + 0.261339i
\(293\) −0.216688 + 0.808690i −0.0126590 + 0.0472442i −0.971966 0.235120i \(-0.924452\pi\)
0.959307 + 0.282364i \(0.0911185\pi\)
\(294\) 13.9839 5.07377i 0.815558 0.295908i
\(295\) −17.4541 + 30.2313i −1.01621 + 1.76014i
\(296\) −4.93862 + 6.88239i −0.287051 + 0.400031i
\(297\) 18.3921 + 8.38605i 1.06722 + 0.486608i
\(298\) 4.70282 + 4.21773i 0.272427 + 0.244327i
\(299\) 0.298769 + 1.11502i 0.0172783 + 0.0644834i
\(300\) −13.3584 31.3870i −0.771250 1.81213i
\(301\) −1.71620 + 6.40494i −0.0989201 + 0.369175i
\(302\) 14.8379 + 22.7504i 0.853827 + 1.30914i
\(303\) 27.9413 17.3444i 1.60519 0.996409i
\(304\) 10.4879 + 20.1897i 0.601522 + 1.15796i
\(305\) 8.49106i 0.486197i
\(306\) 10.8787 1.29180i 0.621896 0.0738470i
\(307\) −21.1593 + 21.1593i −1.20763 + 1.20763i −0.235831 + 0.971794i \(0.575781\pi\)
−0.971794 + 0.235831i \(0.924219\pi\)
\(308\) −2.71187 6.98251i −0.154523 0.397866i
\(309\) −4.35538 4.08574i −0.247769 0.232429i
\(310\) −18.9545 3.99000i −1.07655 0.226617i
\(311\) 10.8454 6.26157i 0.614984 0.355061i −0.159929 0.987128i \(-0.551127\pi\)
0.774914 + 0.632067i \(0.217793\pi\)
\(312\) −1.57954 8.00114i −0.0894239 0.452975i
\(313\) −28.1752 16.2670i −1.59256 0.919463i −0.992867 0.119230i \(-0.961958\pi\)
−0.599689 0.800233i \(-0.704709\pi\)
\(314\) −19.8580 17.8097i −1.12065 1.00506i
\(315\) 10.9120 + 2.18849i 0.614820 + 0.123308i
\(316\) −2.38510 21.8657i −0.134173 1.23004i
\(317\) −3.60078 13.4383i −0.202240 0.754770i −0.990273 0.139137i \(-0.955567\pi\)
0.788033 0.615633i \(-0.211100\pi\)
\(318\) 18.9713 13.2553i 1.06386 0.743322i
\(319\) −20.0759 + 11.5908i −1.12404 + 0.648963i
\(320\) −1.97613 30.7622i −0.110469 1.71966i
\(321\) 7.05047 13.1654i 0.393519 0.734822i
\(322\) −0.842066 0.426972i −0.0469265 0.0237942i
\(323\) −10.3852 10.3852i −0.577846 0.577846i
\(324\) −17.4994 + 4.21538i −0.972191 + 0.234188i
\(325\) 11.5916 11.5916i 0.642985 0.642985i
\(326\) 6.38275 + 19.5135i 0.353508 + 1.08075i
\(327\) −8.56268 4.58557i −0.473517 0.253582i
\(328\) 17.8480 + 21.7767i 0.985493 + 1.20242i
\(329\) −2.78214 4.81880i −0.153384 0.265669i
\(330\) −6.41220 + 36.1522i −0.352980 + 1.99012i
\(331\) −5.29427 + 1.41860i −0.291000 + 0.0779731i −0.401366 0.915918i \(-0.631464\pi\)
0.110366 + 0.993891i \(0.464798\pi\)
\(332\) −14.1904 11.3991i −0.778801 0.625609i
\(333\) −1.76680 + 8.80938i −0.0968200 + 0.482751i
\(334\) −0.442855 8.14393i −0.0242319 0.445616i
\(335\) 8.38809 14.5286i 0.458291 0.793783i
\(336\) 5.73428 + 3.40747i 0.312831 + 0.185893i
\(337\) −4.44303 7.69556i −0.242027 0.419204i 0.719264 0.694737i \(-0.244479\pi\)
−0.961292 + 0.275533i \(0.911146\pi\)
\(338\) −12.1162 + 7.90227i −0.659037 + 0.429827i
\(339\) −7.57456 + 8.07446i −0.411394 + 0.438544i
\(340\) 7.20416 + 18.5493i 0.390701 + 1.00597i
\(341\) 9.77782 + 9.77782i 0.529498 + 0.529498i
\(342\) 18.9565 + 14.9323i 1.02505 + 0.807449i
\(343\) −12.5864 −0.679602
\(344\) 17.7490 8.02806i 0.956960 0.432844i
\(345\) 2.44067 + 3.93186i 0.131401 + 0.211684i
\(346\) −11.0377 2.32348i −0.593393 0.124911i
\(347\) −13.2779 3.55779i −0.712793 0.190992i −0.115839 0.993268i \(-0.536956\pi\)
−0.596954 + 0.802276i \(0.703622\pi\)
\(348\) 7.71466 19.1472i 0.413549 1.02640i
\(349\) −15.5592 + 4.16907i −0.832863 + 0.223165i −0.649962 0.759966i \(-0.725215\pi\)
−0.182901 + 0.983131i \(0.558549\pi\)
\(350\) 0.728006 + 13.3877i 0.0389136 + 0.715605i
\(351\) −5.02188 7.04330i −0.268048 0.375943i
\(352\) −10.8152 + 19.1649i −0.576451 + 1.02149i
\(353\) −7.72178 4.45817i −0.410989 0.237284i 0.280226 0.959934i \(-0.409591\pi\)
−0.691214 + 0.722650i \(0.742924\pi\)
\(354\) −9.39868 + 20.1026i −0.499534 + 1.06844i
\(355\) −34.9868 9.37467i −1.85690 0.497556i
\(356\) −15.4294 21.0622i −0.817758 1.11629i
\(357\) −4.19268 0.981096i −0.221900 0.0519251i
\(358\) −2.82108 + 0.922758i −0.149099 + 0.0487693i
\(359\) 20.3164i 1.07226i 0.844136 + 0.536129i \(0.180114\pi\)
−0.844136 + 0.536129i \(0.819886\pi\)
\(360\) −15.3481 28.8692i −0.808916 1.52154i
\(361\) 13.3513i 0.702699i
\(362\) 3.07083 + 9.38822i 0.161399 + 0.493434i
\(363\) 4.89784 5.22108i 0.257070 0.274036i
\(364\) −0.489011 + 3.16803i −0.0256312 + 0.166050i
\(365\) −14.0628 3.76812i −0.736082 0.197233i
\(366\) 0.465028 + 5.37773i 0.0243074 + 0.281098i
\(367\) −20.8621 12.0447i −1.08899 0.628729i −0.155683 0.987807i \(-0.549758\pi\)
−0.933308 + 0.359078i \(0.883091\pi\)
\(368\) 0.597982 + 2.70842i 0.0311720 + 0.141186i
\(369\) 26.7635 + 13.2510i 1.39325 + 0.689821i
\(370\) −16.2961 + 0.886156i −0.847192 + 0.0460690i
\(371\) −8.78654 + 2.35435i −0.456175 + 0.122232i
\(372\) −12.2232 1.48895i −0.633743 0.0771983i
\(373\) −26.3435 7.05873i −1.36402 0.365487i −0.498727 0.866759i \(-0.666199\pi\)
−0.865290 + 0.501272i \(0.832866\pi\)
\(374\) 2.92622 13.9010i 0.151311 0.718805i
\(375\) 15.2720 28.5175i 0.788640 1.47264i
\(376\) −5.76805 + 15.2952i −0.297464 + 0.788789i
\(377\) 9.92039 0.510926
\(378\) 7.03085 + 0.788447i 0.361628 + 0.0405533i
\(379\) 26.4493 + 26.4493i 1.35861 + 1.35861i 0.875636 + 0.482971i \(0.160442\pi\)
0.482971 + 0.875636i \(0.339558\pi\)
\(380\) −17.6708 + 40.1128i −0.906492 + 2.05774i
\(381\) 1.54817 + 5.11823i 0.0793153 + 0.262215i
\(382\) −5.87518 9.00818i −0.300600 0.460899i
\(383\) 14.2366 + 24.6585i 0.727455 + 1.25999i 0.957955 + 0.286917i \(0.0926305\pi\)
−0.230500 + 0.973072i \(0.574036\pi\)
\(384\) −2.93630 19.3747i −0.149843 0.988710i
\(385\) 7.21573 12.4980i 0.367748 0.636957i
\(386\) −2.72278 + 0.148061i −0.138586 + 0.00753610i
\(387\) 13.6478 15.5128i 0.693759 0.788559i
\(388\) −7.02071 + 0.765816i −0.356423 + 0.0388784i
\(389\) 19.4146 5.20211i 0.984357 0.263758i 0.269479 0.963006i \(-0.413149\pi\)
0.714878 + 0.699249i \(0.246482\pi\)
\(390\) 10.1119 12.0263i 0.512037 0.608974i
\(391\) −0.895250 1.55062i −0.0452747 0.0784182i
\(392\) 10.8885 + 13.2852i 0.549952 + 0.671006i
\(393\) −0.290624 9.09789i −0.0146600 0.458928i
\(394\) 30.8111 10.0781i 1.55224 0.507729i
\(395\) 29.9646 29.9646i 1.50768 1.50768i
\(396\) −2.08116 + 23.2478i −0.104582 + 1.16825i
\(397\) 5.95094 + 5.95094i 0.298669 + 0.298669i 0.840492 0.541823i \(-0.182266\pi\)
−0.541823 + 0.840492i \(0.682266\pi\)
\(398\) 4.19319 8.26974i 0.210186 0.414525i
\(399\) −5.00227 8.05853i −0.250427 0.403431i
\(400\) 29.0633 26.5853i 1.45316 1.32927i
\(401\) −4.11912 + 2.37818i −0.205699 + 0.118761i −0.599311 0.800516i \(-0.704559\pi\)
0.393612 + 0.919277i \(0.371225\pi\)
\(402\) 4.51683 9.66093i 0.225279 0.481844i
\(403\) −1.53157 5.71590i −0.0762929 0.284729i
\(404\) 29.6054 + 23.7819i 1.47292 + 1.18320i
\(405\) −27.4455 21.1981i −1.36378 1.05334i
\(406\) −5.41728 + 6.04033i −0.268855 + 0.299776i
\(407\) 10.0898 + 5.82535i 0.500133 + 0.288752i
\(408\) 5.57857 + 11.3534i 0.276180 + 0.562079i
\(409\) 7.24880 4.18510i 0.358430 0.206940i −0.309962 0.950749i \(-0.600316\pi\)
0.668392 + 0.743809i \(0.266983\pi\)
\(410\) −11.1741 + 53.0826i −0.551848 + 2.62156i
\(411\) −0.637353 + 2.72371i −0.0314383 + 0.134351i
\(412\) 2.77994 6.31047i 0.136958 0.310895i
\(413\) 6.16758 6.16758i 0.303487 0.303487i
\(414\) 1.76111 + 2.35654i 0.0865539 + 0.115817i
\(415\) 35.0677i 1.72141i
\(416\) 8.10890 4.78852i 0.397572 0.234777i
\(417\) 0.217998 + 6.82437i 0.0106754 + 0.334191i
\(418\) 26.2096 17.0941i 1.28196 0.836098i
\(419\) 8.29108 30.9427i 0.405046 1.51165i −0.398926 0.916983i \(-0.630617\pi\)
0.803971 0.594668i \(-0.202716\pi\)
\(420\) 1.80069 + 12.7242i 0.0878646 + 0.620877i
\(421\) 7.74504 + 28.9049i 0.377470 + 1.40874i 0.849702 + 0.527264i \(0.176782\pi\)
−0.472232 + 0.881475i \(0.656551\pi\)
\(422\) −5.70537 + 6.36155i −0.277733 + 0.309676i
\(423\) 1.10658 + 17.3029i 0.0538038 + 0.841295i
\(424\) 21.7121 + 15.5800i 1.05443 + 0.756632i
\(425\) −12.7134 + 22.0203i −0.616691 + 1.06814i
\(426\) −22.6719 4.02124i −1.09846 0.194830i
\(427\) 0.549113 2.04932i 0.0265734 0.0991735i
\(428\) 17.0430 + 2.63072i 0.823803 + 0.127161i
\(429\) −10.7365 + 3.24760i −0.518363 + 0.156796i
\(430\) 33.4732 + 16.9727i 1.61422 + 0.818496i
\(431\) 10.3884 0.500389 0.250195 0.968196i \(-0.419505\pi\)
0.250195 + 0.968196i \(0.419505\pi\)
\(432\) −11.3016 17.4434i −0.543750 0.839247i
\(433\) −3.31869 −0.159486 −0.0797429 0.996815i \(-0.525410\pi\)
−0.0797429 + 0.996815i \(0.525410\pi\)
\(434\) 4.31665 + 2.18877i 0.207206 + 0.105064i
\(435\) 38.0672 11.5147i 1.82518 0.552086i
\(436\) 1.71100 11.0846i 0.0819419 0.530856i
\(437\) 1.02078 3.80962i 0.0488307 0.182239i
\(438\) −9.11291 1.61633i −0.435432 0.0772311i
\(439\) 15.8616 27.4732i 0.757035 1.31122i −0.187322 0.982299i \(-0.559981\pi\)
0.944356 0.328924i \(-0.106686\pi\)
\(440\) −41.8348 + 6.87903i −1.99439 + 0.327945i
\(441\) 16.3275 + 8.08401i 0.777501 + 0.384953i
\(442\) −4.05889 + 4.52571i −0.193062 + 0.215266i
\(443\) 3.44686 + 12.8638i 0.163765 + 0.611180i 0.998194 + 0.0600649i \(0.0191308\pi\)
−0.834429 + 0.551115i \(0.814203\pi\)
\(444\) −10.2724 + 1.45372i −0.487507 + 0.0689905i
\(445\) 13.0190 48.5877i 0.617161 2.30328i
\(446\) −6.16913 + 4.02354i −0.292117 + 0.190520i
\(447\) 0.247021 + 7.73289i 0.0116837 + 0.365753i
\(448\) −1.51244 + 7.55224i −0.0714559 + 0.356810i
\(449\) 13.0580i 0.616243i 0.951347 + 0.308121i \(0.0997003\pi\)
−0.951347 + 0.308121i \(0.900300\pi\)
\(450\) 16.4769 38.3914i 0.776727 1.80979i
\(451\) 27.3830 27.3830i 1.28941 1.28941i
\(452\) −11.6990 5.15373i −0.550275 0.242411i
\(453\) −7.57953 + 32.3909i −0.356118 + 1.52186i
\(454\) 1.89576 9.00581i 0.0889722 0.422664i
\(455\) −5.34841 + 3.08790i −0.250737 + 0.144763i
\(456\) −8.99477 + 26.3728i −0.421219 + 1.23502i
\(457\) −10.0451 5.79955i −0.469890 0.271291i 0.246303 0.969193i \(-0.420784\pi\)
−0.716194 + 0.697901i \(0.754117\pi\)
\(458\) −3.90547 + 4.35465i −0.182491 + 0.203479i
\(459\) 10.3515 + 8.53644i 0.483165 + 0.398447i
\(460\) −3.34656 + 4.16603i −0.156034 + 0.194242i
\(461\) −3.56634 13.3098i −0.166101 0.619898i −0.997897 0.0648164i \(-0.979354\pi\)
0.831796 0.555081i \(-0.187313\pi\)
\(462\) 3.88553 8.31067i 0.180771 0.386647i
\(463\) −11.4905 + 6.63406i −0.534010 + 0.308311i −0.742648 0.669682i \(-0.766430\pi\)
0.208638 + 0.977993i \(0.433097\pi\)
\(464\) 23.8128 + 1.06035i 1.10548 + 0.0492257i
\(465\) −12.5115 20.1557i −0.580208 0.934700i
\(466\) 11.0118 21.7174i 0.510114 1.00604i
\(467\) 28.1581 + 28.1581i 1.30300 + 1.30300i 0.926357 + 0.376647i \(0.122923\pi\)
0.376647 + 0.926357i \(0.377077\pi\)
\(468\) 5.74564 8.17052i 0.265592 0.377682i
\(469\) −2.96402 + 2.96402i −0.136866 + 0.136866i
\(470\) −29.9328 + 9.79084i −1.38070 + 0.451618i
\(471\) −1.04306 32.6527i −0.0480617 1.50456i
\(472\) −25.4992 2.52818i −1.17369 0.116369i
\(473\) −13.3962 23.2029i −0.615958 1.06687i
\(474\) 17.3367 20.6188i 0.796301 0.947054i
\(475\) −54.1002 + 14.4961i −2.48229 + 0.665127i
\(476\) −0.539153 4.94275i −0.0247121 0.226551i
\(477\) 27.7912 + 5.57377i 1.27247 + 0.255206i
\(478\) −12.6885 + 0.689983i −0.580360 + 0.0315591i
\(479\) 3.40138 5.89137i 0.155413 0.269183i −0.777796 0.628517i \(-0.783662\pi\)
0.933209 + 0.359333i \(0.116996\pi\)
\(480\) 25.5580 27.7869i 1.16656 1.26829i
\(481\) −2.49291 4.31784i −0.113667 0.196877i
\(482\) 0.866528 + 1.32861i 0.0394693 + 0.0605167i
\(483\) −0.334785 1.10679i −0.0152332 0.0503608i
\(484\) 7.56477 + 3.33249i 0.343853 + 0.151477i
\(485\) −9.62112 9.62112i −0.436873 0.436873i
\(486\) −18.5433 11.9225i −0.841141 0.540816i
\(487\) −10.9714 −0.497160 −0.248580 0.968611i \(-0.579964\pi\)
−0.248580 + 0.968611i \(0.579964\pi\)
\(488\) −5.67894 + 2.56865i −0.257074 + 0.116277i
\(489\) −11.8709 + 22.1666i −0.536819 + 1.00241i
\(490\) −6.81692 + 32.3839i −0.307957 + 1.46295i
\(491\) −6.98135 1.87065i −0.315064 0.0844211i 0.0978219 0.995204i \(-0.468812\pi\)
−0.412886 + 0.910783i \(0.635479\pi\)
\(492\) −4.16983 + 34.2313i −0.187990 + 1.54327i
\(493\) −14.8630 + 3.98253i −0.669397 + 0.179364i
\(494\) −13.3711 + 0.727102i −0.601595 + 0.0327139i
\(495\) −37.4293 + 24.9238i −1.68232 + 1.12024i
\(496\) −3.06541 13.8841i −0.137641 0.623414i
\(497\) 7.83780 + 4.52515i 0.351573 + 0.202981i
\(498\) −1.92054 22.2098i −0.0860616 0.995244i
\(499\) 25.4020 + 6.80645i 1.13715 + 0.304698i 0.777805 0.628506i \(-0.216333\pi\)
0.359346 + 0.933205i \(0.383000\pi\)
\(500\) 36.9166 + 5.69837i 1.65096 + 0.254839i
\(501\) 6.83415 7.28518i 0.305327 0.325478i
\(502\) 0.434784 + 1.32923i 0.0194053 + 0.0593266i
\(503\) 1.37571i 0.0613400i −0.999530 0.0306700i \(-0.990236\pi\)
0.999530 0.0306700i \(-0.00976410\pi\)
\(504\) 1.83731 + 7.96012i 0.0818403 + 0.354572i
\(505\) 73.1616i 3.25565i
\(506\) 3.62576 1.18596i 0.161185 0.0527225i
\(507\) −17.2505 4.03665i −0.766121 0.179274i
\(508\) −4.98095 + 3.64887i −0.220994 + 0.161892i
\(509\) −14.7384 3.94915i −0.653269 0.175043i −0.0830623 0.996544i \(-0.526470\pi\)
−0.570206 + 0.821502i \(0.693137\pi\)
\(510\) −10.3220 + 22.0775i −0.457067 + 0.977610i
\(511\) 3.15038 + 1.81887i 0.139365 + 0.0804622i
\(512\) 19.9763 10.6276i 0.882838 0.469677i
\(513\) 2.82701 + 29.4193i 0.124816 + 1.29889i
\(514\) 0.514260 + 9.45704i 0.0226830 + 0.417132i
\(515\) 12.8325 3.43845i 0.565467 0.151516i
\(516\) 22.1295 + 8.91626i 0.974196 + 0.392517i
\(517\) 21.7166 + 5.81895i 0.955096 + 0.255917i
\(518\) 3.99036 + 0.839985i 0.175326 + 0.0369068i
\(519\) −7.28580 11.7372i −0.319811 0.515207i
\(520\) 16.9762 + 6.40198i 0.744455 + 0.280745i
\(521\) −23.4677 −1.02814 −0.514070 0.857748i \(-0.671863\pi\)
−0.514070 + 0.857748i \(0.671863\pi\)
\(522\) 23.4789 9.37752i 1.02764 0.410443i
\(523\) −30.0762 30.0762i −1.31514 1.31514i −0.917573 0.397567i \(-0.869855\pi\)
−0.397567 0.917573i \(-0.630145\pi\)
\(524\) 9.79770 3.80523i 0.428014 0.166232i
\(525\) −11.2346 + 11.9761i −0.490319 + 0.522678i
\(526\) −16.7026 + 10.8935i −0.728267 + 0.474980i
\(527\) 4.58929 + 7.94888i 0.199912 + 0.346259i
\(528\) −26.1189 + 6.64792i −1.13668 + 0.289314i
\(529\) −11.2596 + 19.5022i −0.489547 + 0.847921i
\(530\) 2.79558 + 51.4096i 0.121432 + 2.23309i
\(531\) −25.7500 + 8.69551i −1.11746 + 0.377353i
\(532\) 6.85892 8.53846i 0.297372 0.370189i
\(533\) −16.0075 + 4.28919i −0.693361 + 0.185786i
\(534\) 5.58448 31.4855i 0.241664 1.36251i
\(535\) 16.6119 + 28.7727i 0.718195 + 1.24395i
\(536\) 12.2544 + 1.21499i 0.529311 + 0.0524797i
\(537\) −3.20464 1.71618i −0.138290 0.0740585i
\(538\) −8.24254 25.1993i −0.355361 1.08642i
\(539\) 16.7054 16.7054i 0.719553 0.719553i
\(540\) 12.5640 38.0215i 0.540669 1.63618i
\(541\) −18.7809 18.7809i −0.807453 0.807453i 0.176795 0.984248i \(-0.443427\pi\)
−0.984248 + 0.176795i \(0.943427\pi\)
\(542\) −13.1801 6.68303i −0.566136 0.287061i
\(543\) −5.71123 + 10.6646i −0.245092 + 0.457664i
\(544\) −10.2266 + 10.4296i −0.438464 + 0.447166i
\(545\) 18.7135 10.8042i 0.801598 0.462803i
\(546\) −3.21825 + 2.24861i −0.137728 + 0.0962315i
\(547\) 4.00793 + 14.9578i 0.171366 + 0.639548i 0.997142 + 0.0755496i \(0.0240711\pi\)
−0.825776 + 0.563999i \(0.809262\pi\)
\(548\) −3.21098 + 0.350252i −0.137166 + 0.0149620i
\(549\) −4.36675 + 4.96345i −0.186368 + 0.211835i
\(550\) −40.3301 36.1701i −1.71968 1.54230i
\(551\) −29.3533 16.9471i −1.25049 0.721972i
\(552\) −1.89135 + 2.82179i −0.0805011 + 0.120103i
\(553\) −9.16975 + 5.29416i −0.389937 + 0.225130i
\(554\) −22.4073 4.71680i −0.951993 0.200398i
\(555\) −14.5777 13.6752i −0.618789 0.580479i
\(556\) −7.34930 + 2.85432i −0.311680 + 0.121050i
\(557\) 31.8166 31.8166i 1.34811 1.34811i 0.460398 0.887712i \(-0.347707\pi\)
0.887712 0.460398i \(-0.152293\pi\)
\(558\) −9.02792 12.0802i −0.382182 0.511397i
\(559\) 11.4656i 0.484941i
\(560\) −13.1683 + 6.84050i −0.556463 + 0.289064i
\(561\) 14.7820 9.17580i 0.624096 0.387403i
\(562\) 18.8121 + 28.8439i 0.793541 + 1.21671i
\(563\) 8.86755 33.0941i 0.373723 1.39475i −0.481480 0.876457i \(-0.659900\pi\)
0.855202 0.518294i \(-0.173433\pi\)
\(564\) −18.4215 + 7.84026i −0.775683 + 0.330134i
\(565\) −6.37456 23.7902i −0.268180 1.00086i
\(566\) 9.26500 + 8.30934i 0.389437 + 0.349267i
\(567\) 5.25310 + 6.89105i 0.220610 + 0.289397i
\(568\) −4.31401 26.2356i −0.181012 1.10082i
\(569\) 2.54964 4.41610i 0.106886 0.185133i −0.807621 0.589702i \(-0.799245\pi\)
0.914507 + 0.404569i \(0.132579\pi\)
\(570\) −50.4647 + 18.3100i −2.11373 + 0.766923i
\(571\) 1.79252 6.68977i 0.0750146 0.279958i −0.918222 0.396066i \(-0.870375\pi\)
0.993237 + 0.116108i \(0.0370418\pi\)
\(572\) −7.65422 10.4485i −0.320039 0.436875i
\(573\) 3.00117 12.8254i 0.125376 0.535788i
\(574\) 6.12969 12.0889i 0.255848 0.504579i
\(575\) −6.82812 −0.284752
\(576\) 14.6651 18.9983i 0.611046 0.791595i
\(577\) 18.2939 0.761585 0.380793 0.924660i \(-0.375651\pi\)
0.380793 + 0.924660i \(0.375651\pi\)
\(578\) −6.60825 + 13.0327i −0.274867 + 0.542088i
\(579\) −2.43568 2.28488i −0.101223 0.0949564i
\(580\) 27.1388 + 37.0462i 1.12688 + 1.53826i
\(581\) −2.26781 + 8.46359i −0.0940847 + 0.351129i
\(582\) −6.62036 5.56652i −0.274423 0.230740i
\(583\) 18.3774 31.8306i 0.761114 1.31829i
\(584\) −1.73400 10.5453i −0.0717535 0.436368i
\(585\) 19.2046 1.22820i 0.794011 0.0507798i
\(586\) −0.881442 0.790523i −0.0364120 0.0326562i
\(587\) 3.71035 + 13.8472i 0.153143 + 0.571536i 0.999257 + 0.0385349i \(0.0122691\pi\)
−0.846115 + 0.533001i \(0.821064\pi\)
\(588\) −2.54387 + 20.8833i −0.104907 + 0.861215i
\(589\) −5.23280 + 19.5291i −0.215614 + 0.804682i
\(590\) −26.9688 41.3502i −1.11029 1.70236i
\(591\) 35.0003 + 18.7437i 1.43972 + 0.771011i
\(592\) −5.52243 10.6310i −0.226970 0.436929i
\(593\) 16.9058i 0.694238i 0.937821 + 0.347119i \(0.112840\pi\)
−0.937821 + 0.347119i \(0.887160\pi\)
\(594\) −22.3405 + 17.8351i −0.916641 + 0.731785i
\(595\) 6.77350 6.77350i 0.277687 0.277687i
\(596\) −8.32771 + 3.23432i −0.341116 + 0.132483i
\(597\) 10.8696 3.28785i 0.444861 0.134563i
\(598\) −1.59750 0.336279i −0.0653265 0.0137515i
\(599\) −18.4047 + 10.6260i −0.751997 + 0.434166i −0.826415 0.563062i \(-0.809623\pi\)
0.0744181 + 0.997227i \(0.476290\pi\)
\(600\) 48.1329 + 3.22448i 1.96502 + 0.131639i
\(601\) 28.1475 + 16.2510i 1.14816 + 0.662891i 0.948438 0.316962i \(-0.102663\pi\)
0.199722 + 0.979853i \(0.435996\pi\)
\(602\) −6.98115 6.26106i −0.284530 0.255182i
\(603\) 12.3750 4.17890i 0.503948 0.170178i
\(604\) −38.1856 + 4.16527i −1.55375 + 0.169482i
\(605\) 4.12190 + 15.3831i 0.167579 + 0.625413i
\(606\) 4.00682 + 46.3361i 0.162766 + 1.88228i
\(607\) −9.86566 + 5.69594i −0.400435 + 0.231191i −0.686672 0.726968i \(-0.740929\pi\)
0.286237 + 0.958159i \(0.407596\pi\)
\(608\) −32.1736 + 0.316138i −1.30481 + 0.0128211i
\(609\) −9.93217 + 0.317275i −0.402472 + 0.0128566i
\(610\) −10.7101 5.43056i −0.433638 0.219877i
\(611\) −6.80326 6.80326i −0.275230 0.275230i
\(612\) −5.32824 + 14.5479i −0.215381 + 0.588064i
\(613\) 12.9149 12.9149i 0.521630 0.521630i −0.396434 0.918063i \(-0.629752\pi\)
0.918063 + 0.396434i \(0.129752\pi\)
\(614\) −13.1562 40.2216i −0.530943 1.62321i
\(615\) −56.4466 + 35.0388i −2.27615 + 1.41290i
\(616\) 10.5417 + 1.04518i 0.424736 + 0.0421115i
\(617\) −5.36926 9.29983i −0.216158 0.374397i 0.737472 0.675378i \(-0.236019\pi\)
−0.953630 + 0.300981i \(0.902686\pi\)
\(618\) 7.93901 2.88050i 0.319354 0.115871i
\(619\) 15.0898 4.04330i 0.606510 0.162514i 0.0575222 0.998344i \(-0.481680\pi\)
0.548988 + 0.835830i \(0.315013\pi\)
\(620\) 17.1553 21.3561i 0.688974 0.857683i
\(621\) −0.595366 + 3.55355i −0.0238912 + 0.142599i
\(622\) 0.961645 + 17.6843i 0.0385585 + 0.709075i
\(623\) −6.28428 + 10.8847i −0.251774 + 0.436086i
\(624\) 11.1023 + 3.12490i 0.444448 + 0.125096i
\(625\) 11.3651 + 19.6849i 0.454603 + 0.787396i
\(626\) 38.5378 25.1346i 1.54028 1.00458i
\(627\) 37.3160 + 8.73202i 1.49026 + 0.348723i
\(628\) 35.1643 13.6571i 1.40321 0.544979i
\(629\) 5.46834 + 5.46834i 0.218037 + 0.218037i
\(630\) −9.73931 + 12.3640i −0.388023 + 0.492592i
\(631\) 39.5399 1.57406 0.787029 0.616916i \(-0.211618\pi\)
0.787029 + 0.616916i \(0.211618\pi\)
\(632\) 29.1054 + 10.9761i 1.15775 + 0.436605i
\(633\) −10.4604 + 0.334147i −0.415762 + 0.0132812i
\(634\) 19.2531 + 4.05284i 0.764638 + 0.160959i
\(635\) −11.4904 3.07884i −0.455982 0.122180i
\(636\) 4.58609 + 32.4067i 0.181850 + 1.28501i
\(637\) −9.76562 + 2.61669i −0.386928 + 0.103677i
\(638\) −1.78011 32.7355i −0.0704751 1.29601i
\(639\) −15.6303 23.4728i −0.618326 0.928570i
\(640\) 40.0652 + 17.1818i 1.58372 + 0.679169i
\(641\) −18.9744 10.9549i −0.749445 0.432692i 0.0760486 0.997104i \(-0.475770\pi\)
−0.825493 + 0.564412i \(0.809103\pi\)
\(642\) 12.0968 + 17.3131i 0.477421 + 0.683293i
\(643\) −41.5536 11.1343i −1.63871 0.439092i −0.682292 0.731080i \(-0.739017\pi\)
−0.956422 + 0.291988i \(0.905683\pi\)
\(644\) 1.07711 0.789050i 0.0424439 0.0310929i
\(645\) 13.3082 + 43.9964i 0.524008 + 1.73236i
\(646\) 19.7411 6.45719i 0.776704 0.254055i
\(647\) 31.4508i 1.23646i 0.785998 + 0.618229i \(0.212149\pi\)
−0.785998 + 0.618229i \(0.787851\pi\)
\(648\) 5.87498 24.7686i 0.230791 0.973003i
\(649\) 35.2428i 1.38340i
\(650\) 7.20730 + 22.0344i 0.282694 + 0.864259i
\(651\) 1.71620 + 5.67370i 0.0672630 + 0.222370i
\(652\) −28.6952 4.42934i −1.12379 0.173466i
\(653\) 38.0415 + 10.1932i 1.48868 + 0.398891i 0.909291 0.416160i \(-0.136624\pi\)
0.579389 + 0.815051i \(0.303291\pi\)
\(654\) 11.2603 7.86763i 0.440312 0.307649i
\(655\) 17.5369 + 10.1249i 0.685224 + 0.395614i
\(656\) −38.8826 + 8.58475i −1.51811 + 0.335178i
\(657\) −6.28257 9.43483i −0.245106 0.368088i
\(658\) 7.85746 0.427277i 0.306316 0.0166570i
\(659\) −1.45690 + 0.390374i −0.0567526 + 0.0152068i −0.287084 0.957906i \(-0.592686\pi\)
0.230331 + 0.973112i \(0.426019\pi\)
\(660\) −41.4990 31.2095i −1.61535 1.21483i
\(661\) −35.7396 9.57641i −1.39011 0.372479i −0.515328 0.856993i \(-0.672330\pi\)
−0.874783 + 0.484514i \(0.838996\pi\)
\(662\) 1.59669 7.58512i 0.0620573 0.294804i
\(663\) −7.44166 + 0.237717i −0.289010 + 0.00923218i
\(664\) 23.4538 10.6084i 0.910182 0.411686i
\(665\) 21.1004 0.818240
\(666\) −9.98159 7.86267i −0.386779 0.304672i
\(667\) −2.92185 2.92185i −0.113134 0.113134i
\(668\) 10.5554 + 4.64996i 0.408402 + 0.179912i
\(669\) −8.78329 2.05531i −0.339582 0.0794628i
\(670\) 12.9607 + 19.8721i 0.500716 + 0.767727i
\(671\) 4.28623 + 7.42397i 0.165468 + 0.286599i
\(672\) −7.96539 + 5.05355i −0.307271 + 0.194945i
\(673\) 1.54334 2.67314i 0.0594912 0.103042i −0.834746 0.550635i \(-0.814386\pi\)
0.894237 + 0.447594i \(0.147719\pi\)
\(674\) 12.5483 0.682355i 0.483341 0.0262833i
\(675\) 47.9303 17.9098i 1.84484 0.689350i
\(676\) −2.21831 20.3366i −0.0853196 0.782177i
\(677\) −39.8275 + 10.6718i −1.53070 + 0.410149i −0.923246 0.384209i \(-0.874474\pi\)
−0.607450 + 0.794358i \(0.707807\pi\)
\(678\) −5.34017 14.7182i −0.205088 0.565247i
\(679\) 1.69986 + 2.94425i 0.0652348 + 0.112990i
\(680\) −28.0043 2.77655i −1.07392 0.106476i
\(681\) 9.57653 5.94456i 0.366974 0.227796i
\(682\) −18.5866 + 6.07956i −0.711718 + 0.232798i
\(683\) −15.0423 + 15.0423i −0.575578 + 0.575578i −0.933682 0.358104i \(-0.883423\pi\)
0.358104 + 0.933682i \(0.383423\pi\)
\(684\) −30.9585 + 14.3603i −1.18373 + 0.549078i
\(685\) −4.40030 4.40030i −0.168127 0.168127i
\(686\) 8.04979 15.8757i 0.307343 0.606135i
\(687\) −7.16039 + 0.228732i −0.273186 + 0.00872668i
\(688\) −1.22551 + 27.5218i −0.0467221 + 1.04926i
\(689\) −13.6216 + 7.86444i −0.518942 + 0.299611i
\(690\) −6.52035 + 0.563833i −0.248225 + 0.0214648i
\(691\) 11.3628 + 42.4064i 0.432260 + 1.61321i 0.747540 + 0.664216i \(0.231235\pi\)
−0.315281 + 0.948998i \(0.602099\pi\)
\(692\) 9.99000 12.4363i 0.379763 0.472755i
\(693\) 10.6454 3.59483i 0.404384 0.136556i
\(694\) 12.9796 14.4724i 0.492698 0.549364i
\(695\) −13.1545 7.59476i −0.498979 0.288086i
\(696\) 19.2170 + 21.9766i 0.728417 + 0.833019i
\(697\) 22.2610 12.8524i 0.843195 0.486819i
\(698\) 4.69247 22.2917i 0.177613 0.843752i
\(699\) 28.5448 8.63430i 1.07966 0.326579i
\(700\) −17.3520 7.64404i −0.655844 0.288918i
\(701\) −7.87056 + 7.87056i −0.297267 + 0.297267i −0.839942 0.542676i \(-0.817411\pi\)
0.542676 + 0.839942i \(0.317411\pi\)
\(702\) 12.0957 1.82964i 0.456524 0.0690552i
\(703\) 17.0347i 0.642474i
\(704\) −17.2563 25.8987i −0.650372 0.976093i
\(705\) −34.0025 18.2094i −1.28061 0.685804i
\(706\) 10.5618 6.88845i 0.397498 0.259250i
\(707\) 4.73132 17.6575i 0.177940 0.664080i
\(708\) −19.3450 24.7117i −0.727031 0.928724i
\(709\) −7.49458 27.9701i −0.281465 1.05044i −0.951384 0.308007i \(-0.900338\pi\)
0.669919 0.742434i \(-0.266329\pi\)
\(710\) 34.2008 38.1343i 1.28353 1.43115i
\(711\) 32.9259 2.10573i 1.23482 0.0789709i
\(712\) 36.4345 5.99105i 1.36544 0.224524i
\(713\) −1.23241 + 2.13459i −0.0461540 + 0.0799411i
\(714\) 3.91897 4.66089i 0.146664 0.174430i
\(715\) 6.45848 24.1034i 0.241533 0.901414i
\(716\) 0.640352 4.14848i 0.0239311 0.155036i
\(717\) −11.3506 10.6479i −0.423895 0.397651i
\(718\) −25.6257 12.9936i −0.956344 0.484917i
\(719\) 0.674555 0.0251567 0.0125783 0.999921i \(-0.495996\pi\)
0.0125783 + 0.999921i \(0.495996\pi\)
\(720\) 46.2297 0.895452i 1.72288 0.0333715i
\(721\) −3.31948 −0.123624
\(722\) 16.8404 + 8.53897i 0.626735 + 0.317788i
\(723\) −0.442641 + 1.89161i −0.0164620 + 0.0703498i
\(724\) −13.8056 2.13101i −0.513083 0.0791985i
\(725\) −15.1875 + 56.6805i −0.564049 + 2.10506i
\(726\) 3.45305 + 9.51701i 0.128155 + 0.353209i
\(727\) −1.32251 + 2.29066i −0.0490493 + 0.0849559i −0.889508 0.456920i \(-0.848952\pi\)
0.840458 + 0.541876i \(0.182286\pi\)
\(728\) −3.68319 2.64296i −0.136508 0.0979546i
\(729\) −5.14160 26.5059i −0.190430 0.981701i
\(730\) 13.7469 15.3280i 0.508796 0.567313i
\(731\) −4.60284 17.1780i −0.170242 0.635352i
\(732\) −7.08052 2.85284i −0.261704 0.105444i
\(733\) 5.34335 19.9416i 0.197361 0.736562i −0.794282 0.607549i \(-0.792153\pi\)
0.991643 0.129012i \(-0.0411806\pi\)
\(734\) 28.5350 18.6107i 1.05325 0.686932i
\(735\) −34.4361 + 21.3760i −1.27020 + 0.788465i
\(736\) −3.79867 0.977950i −0.140021 0.0360477i
\(737\) 16.9370i 0.623883i
\(738\) −33.8309 + 25.2829i −1.24533 + 0.930675i
\(739\) −27.6094 + 27.6094i −1.01563 + 1.01563i −0.0157506 + 0.999876i \(0.505014\pi\)
−0.999876 + 0.0157506i \(0.994986\pi\)
\(740\) 9.30460 21.1215i 0.342044 0.776442i
\(741\) −11.9612 11.2207i −0.439405 0.412201i
\(742\) 2.64992 12.5885i 0.0972818 0.462139i
\(743\) 16.4755 9.51215i 0.604429 0.348967i −0.166353 0.986066i \(-0.553199\pi\)
0.770782 + 0.637099i \(0.219866\pi\)
\(744\) 9.69555 14.4652i 0.355456 0.530321i
\(745\) −14.9058 8.60585i −0.546105 0.315294i
\(746\) 25.7517 28.7135i 0.942838 1.05127i
\(747\) 18.0345 20.4988i 0.659847 0.750013i
\(748\) 15.6623 + 12.5815i 0.572672 + 0.460025i
\(749\) −2.14857 8.01857i −0.0785070 0.292992i
\(750\) 26.2027 + 37.5017i 0.956787 + 1.36937i
\(751\) 30.5334 17.6285i 1.11418 0.643273i 0.174272 0.984698i \(-0.444243\pi\)
0.939909 + 0.341425i \(0.110909\pi\)
\(752\) −15.6033 17.0576i −0.568994 0.622028i
\(753\) −0.808626 + 1.50996i −0.0294680 + 0.0550259i
\(754\) −6.34471 + 12.5129i −0.231061 + 0.455693i
\(755\) −52.3292 52.3292i −1.90446 1.90446i
\(756\) −5.49116 + 8.36398i −0.199711 + 0.304195i
\(757\) 24.8190 24.8190i 0.902061 0.902061i −0.0935534 0.995614i \(-0.529823\pi\)
0.995614 + 0.0935534i \(0.0298226\pi\)
\(758\) −50.2773 + 16.4454i −1.82615 + 0.597323i
\(759\) 4.11872 + 2.20570i 0.149500 + 0.0800618i
\(760\) −39.2940 47.9434i −1.42534 1.73909i
\(761\) 2.73041 + 4.72921i 0.0989774 + 0.171434i 0.911262 0.411828i \(-0.135110\pi\)
−0.812284 + 0.583262i \(0.801776\pi\)
\(762\) −7.44594 1.32066i −0.269738 0.0478425i
\(763\) −5.21521 + 1.39741i −0.188803 + 0.0505897i
\(764\) 15.1199 1.64927i 0.547017 0.0596684i
\(765\) −28.2798 + 9.54978i −1.02246 + 0.345273i
\(766\) −40.2077 + 2.18644i −1.45276 + 0.0789992i
\(767\) 7.54091 13.0612i 0.272286 0.471614i
\(768\) 26.3159 + 8.68766i 0.949592 + 0.313489i
\(769\) 14.4745 + 25.0706i 0.521964 + 0.904068i 0.999674 + 0.0255501i \(0.00813372\pi\)
−0.477710 + 0.878518i \(0.658533\pi\)
\(770\) 11.1492 + 17.0947i 0.401791 + 0.616050i
\(771\) −7.93608 + 8.45983i −0.285811 + 0.304673i
\(772\) 1.55463 3.52903i 0.0559525 0.127013i
\(773\) 11.3458 + 11.3458i 0.408079 + 0.408079i 0.881068