Properties

Label 108.4.l.a.11.16
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.76579 - 2.20953i) q^{2} +(4.72349 - 2.16532i) q^{3} +(-1.76401 + 7.80309i) q^{4} +(-1.80584 + 4.96151i) q^{5} +(-13.1250 - 6.61318i) q^{6} +(9.40209 + 1.65784i) q^{7} +(20.3560 - 9.88097i) q^{8} +(17.6228 - 20.4558i) q^{9} +O(q^{10})\) \(q+(-1.76579 - 2.20953i) q^{2} +(4.72349 - 2.16532i) q^{3} +(-1.76401 + 7.80309i) q^{4} +(-1.80584 + 4.96151i) q^{5} +(-13.1250 - 6.61318i) q^{6} +(9.40209 + 1.65784i) q^{7} +(20.3560 - 9.88097i) q^{8} +(17.6228 - 20.4558i) q^{9} +(14.1513 - 4.77091i) q^{10} +(53.5277 - 19.4825i) q^{11} +(8.56394 + 40.6775i) q^{12} +(-18.5620 + 15.5753i) q^{13} +(-12.9390 - 23.7015i) q^{14} +(2.21339 + 27.3459i) q^{15} +(-57.7766 - 27.5294i) q^{16} +(35.7325 - 20.6302i) q^{17} +(-76.3155 - 2.81745i) q^{18} +(21.9438 + 12.6693i) q^{19} +(-35.5296 - 22.8433i) q^{20} +(48.0005 - 12.5277i) q^{21} +(-137.565 - 83.8689i) q^{22} +(-26.1866 - 148.511i) q^{23} +(74.7559 - 90.7500i) q^{24} +(74.4000 + 62.4290i) q^{25} +(67.1905 + 13.5104i) q^{26} +(38.9476 - 134.782i) q^{27} +(-29.5216 + 70.4409i) q^{28} +(40.0603 - 47.7420i) q^{29} +(56.5131 - 53.1775i) q^{30} +(-258.526 + 45.5852i) q^{31} +(41.1940 + 176.270i) q^{32} +(210.652 - 207.930i) q^{33} +(-108.679 - 42.5234i) q^{34} +(-25.2041 + 43.6548i) q^{35} +(128.532 + 173.596i) q^{36} +(-14.6109 - 25.3069i) q^{37} +(-10.7550 - 70.8566i) q^{38} +(-53.9517 + 113.763i) q^{39} +(12.2648 + 118.840i) q^{40} +(261.539 + 311.690i) q^{41} +(-112.439 - 83.9369i) q^{42} +(59.7544 + 164.174i) q^{43} +(57.6004 + 452.049i) q^{44} +(69.6676 + 124.375i) q^{45} +(-281.900 + 320.099i) q^{46} +(1.92189 - 10.8996i) q^{47} +(-332.517 - 4.93012i) q^{48} +(-236.664 - 86.1386i) q^{49} +(6.56410 - 274.625i) q^{50} +(124.111 - 174.819i) q^{51} +(-88.7924 - 172.316i) q^{52} +528.631i q^{53} +(-366.577 + 151.940i) q^{54} +300.760i q^{55} +(207.770 - 59.1547i) q^{56} +(131.084 + 12.3278i) q^{57} +(-176.225 - 4.21214i) q^{58} +(-545.968 - 198.716i) q^{59} +(-217.287 - 30.9671i) q^{60} +(28.2062 - 159.966i) q^{61} +(557.224 + 490.727i) q^{62} +(199.603 - 163.111i) q^{63} +(316.733 - 402.274i) q^{64} +(-43.7572 - 120.222i) q^{65} +(-831.392 - 98.2806i) q^{66} +(577.051 + 687.702i) q^{67} +(97.9467 + 315.216i) q^{68} +(-445.267 - 644.790i) q^{69} +(140.961 - 21.3959i) q^{70} +(82.7330 + 143.298i) q^{71} +(156.606 - 590.527i) q^{72} +(-121.541 + 210.516i) q^{73} +(-30.1165 + 76.9698i) q^{74} +(486.607 + 133.783i) q^{75} +(-137.569 + 148.881i) q^{76} +(535.571 - 94.4355i) q^{77} +(346.628 - 81.6727i) q^{78} +(120.380 - 143.463i) q^{79} +(240.923 - 236.945i) q^{80} +(-107.877 - 720.974i) q^{81} +(226.866 - 1128.26i) q^{82} +(-963.525 - 808.493i) q^{83} +(13.0821 + 396.651i) q^{84} +(37.8295 + 214.542i) q^{85} +(257.233 - 421.925i) q^{86} +(85.8477 - 312.253i) q^{87} +(897.103 - 925.490i) q^{88} +(-704.023 - 406.468i) q^{89} +(151.793 - 373.553i) q^{90} +(-200.343 + 115.668i) q^{91} +(1205.04 + 57.6388i) q^{92} +(-1122.44 + 775.114i) q^{93} +(-27.4765 + 14.9998i) q^{94} +(-102.486 + 85.9958i) q^{95} +(576.261 + 743.411i) q^{96} +(-23.1201 + 8.41501i) q^{97} +(227.572 + 675.017i) q^{98} +(544.776 - 1438.28i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.76579 2.20953i −0.624299 0.781185i
\(3\) 4.72349 2.16532i 0.909037 0.416716i
\(4\) −1.76401 + 7.80309i −0.220501 + 0.975387i
\(5\) −1.80584 + 4.96151i −0.161520 + 0.443771i −0.993880 0.110463i \(-0.964767\pi\)
0.832361 + 0.554234i \(0.186989\pi\)
\(6\) −13.1250 6.61318i −0.893044 0.449970i
\(7\) 9.40209 + 1.65784i 0.507665 + 0.0895150i 0.421613 0.906776i \(-0.361464\pi\)
0.0860515 + 0.996291i \(0.472575\pi\)
\(8\) 20.3560 9.88097i 0.899616 0.436681i
\(9\) 17.6228 20.4558i 0.652695 0.757621i
\(10\) 14.1513 4.77091i 0.447504 0.150869i
\(11\) 53.5277 19.4825i 1.46720 0.534017i 0.519861 0.854251i \(-0.325984\pi\)
0.947339 + 0.320234i \(0.103761\pi\)
\(12\) 8.56394 + 40.6775i 0.206016 + 0.978549i
\(13\) −18.5620 + 15.5753i −0.396012 + 0.332294i −0.818950 0.573865i \(-0.805443\pi\)
0.422937 + 0.906159i \(0.360999\pi\)
\(14\) −12.9390 23.7015i −0.247007 0.452465i
\(15\) 2.21339 + 27.3459i 0.0380996 + 0.470712i
\(16\) −57.7766 27.5294i −0.902759 0.430147i
\(17\) 35.7325 20.6302i 0.509788 0.294326i −0.222958 0.974828i \(-0.571571\pi\)
0.732747 + 0.680502i \(0.238238\pi\)
\(18\) −76.3155 2.81745i −0.999319 0.0368933i
\(19\) 21.9438 + 12.6693i 0.264961 + 0.152975i 0.626595 0.779345i \(-0.284448\pi\)
−0.361635 + 0.932320i \(0.617781\pi\)
\(20\) −35.5296 22.8433i −0.397233 0.255396i
\(21\) 48.0005 12.5277i 0.498788 0.130180i
\(22\) −137.565 83.8689i −1.33314 0.812768i
\(23\) −26.1866 148.511i −0.237403 1.34638i −0.837493 0.546448i \(-0.815980\pi\)
0.600090 0.799933i \(1.70487\pi\)
\(24\) 74.7559 90.7500i 0.635812 0.771844i
\(25\) 74.4000 + 62.4290i 0.595200 + 0.499432i
\(26\) 67.1905 + 13.5104i 0.506813 + 0.101908i
\(27\) 38.9476 134.782i 0.277610 0.960694i
\(28\) −29.5216 + 70.4409i −0.199252 + 0.475432i
\(29\) 40.0603 47.7420i 0.256518 0.305706i −0.622381 0.782715i \(-0.713835\pi\)
0.878899 + 0.477009i \(0.158279\pi\)
\(30\) 56.5131 53.1775i 0.343928 0.323628i
\(31\) −258.526 + 45.5852i −1.49783 + 0.264108i −0.861678 0.507456i \(-0.830586\pi\)
−0.636152 + 0.771564i \(0.719475\pi\)
\(32\) 41.1940 + 176.270i 0.227567 + 0.973762i
\(33\) 210.652 207.930i 1.11120 1.09685i
\(34\) −108.679 42.5234i −0.548184 0.214491i
\(35\) −25.2041 + 43.6548i −0.121722 + 0.210829i
\(36\) 128.532 + 173.596i 0.595054 + 0.803686i
\(37\) −14.6109 25.3069i −0.0649196 0.112444i 0.831739 0.555167i \(-0.187346\pi\)
−0.896658 + 0.442723i \(0.854012\pi\)
\(38\) −10.7550 70.8566i −0.0459129 0.302486i
\(39\) −53.9517 + 113.763i −0.221517 + 0.467092i
\(40\) 12.2648 + 118.840i 0.0484810 + 0.469756i
\(41\) 261.539 + 311.690i 0.996233 + 1.18726i 0.982291 + 0.187361i \(0.0599934\pi\)
0.0139416 + 0.999903i \(0.495562\pi\)
\(42\) −112.439 83.9369i −0.413088 0.308375i
\(43\) 59.7544 + 164.174i 0.211918 + 0.582239i 0.999419 0.0340736i \(-0.0108480\pi\)
−0.787502 + 0.616313i \(0.788626\pi\)
\(44\) 57.6004 + 452.049i 0.197354 + 1.54884i
\(45\) 69.6676 + 124.375i 0.230787 + 0.412018i
\(46\) −281.900 + 320.099i −0.903562 + 1.02600i
\(47\) 1.92189 10.8996i 0.00596460 0.0338270i −0.981680 0.190536i \(-0.938977\pi\)
0.987645 + 0.156709i \(0.0500885\pi\)
\(48\) −332.517 4.93012i −0.999890 0.0148250i
\(49\) −236.664 86.1386i −0.689982 0.251133i
\(50\) 6.56410 274.625i 0.0185661 0.776757i
\(51\) 124.111 174.819i 0.340766 0.479991i
\(52\) −88.7924 172.316i −0.236794 0.459536i
\(53\) 528.631i 1.37006i 0.728516 + 0.685029i \(0.240210\pi\)
−0.728516 + 0.685029i \(0.759790\pi\)
\(54\) −366.577 + 151.940i −0.923792 + 0.382895i
\(55\) 300.760i 0.737355i
\(56\) 207.770 59.1547i 0.495793 0.141159i
\(57\) 131.084 + 12.3278i 0.304606 + 0.0286465i
\(58\) −176.225 4.21214i −0.398957 0.00953588i
\(59\) −545.968 198.716i −1.20473 0.438485i −0.339856 0.940477i \(-0.610379\pi\)
−0.864872 + 0.501992i \(0.832601\pi\)
\(60\) −217.287 30.9671i −0.467527 0.0666305i
\(61\) 28.2062 159.966i 0.0592039 0.335762i −0.940791 0.338987i \(-0.889916\pi\)
0.999995 + 0.00322541i \(0.00102668\pi\)
\(62\) 557.224 + 490.727i 1.14141 + 1.00520i
\(63\) 199.603 163.111i 0.399169 0.326192i
\(64\) 316.733 402.274i 0.618619 0.785691i
\(65\) −43.7572 120.222i −0.0834987 0.229411i
\(66\) −831.392 98.2806i −1.55057 0.183296i
\(67\) 577.051 + 687.702i 1.05221 + 1.25397i 0.966231 + 0.257676i \(0.0829566\pi\)
0.0859766 + 0.996297i \(0.472599\pi\)
\(68\) 97.9467 + 315.216i 0.174673 + 0.562140i
\(69\) −445.267 644.790i −0.776867 1.12498i
\(70\) 140.961 21.3959i 0.240687 0.0365328i
\(71\) 82.7330 + 143.298i 0.138290 + 0.239526i 0.926849 0.375433i \(-0.122506\pi\)
−0.788559 + 0.614959i \(0.789173\pi\)
\(72\) 156.606 590.527i 0.256336 0.966588i
\(73\) −121.541 + 210.516i −0.194868 + 0.337521i −0.946857 0.321654i \(-0.895761\pi\)
0.751990 + 0.659175i \(0.229094\pi\)
\(74\) −30.1165 + 76.9698i −0.0473104 + 0.120913i
\(75\) 486.607 + 133.783i 0.749180 + 0.205972i
\(76\) −137.569 + 148.881i −0.207634 + 0.224708i
\(77\) 535.571 94.4355i 0.792649 0.139765i
\(78\) 346.628 81.6727i 0.503179 0.118559i
\(79\) 120.380 143.463i 0.171440 0.204314i −0.673482 0.739203i \(-0.735202\pi\)
0.844922 + 0.534889i \(0.179647\pi\)
\(80\) 240.923 236.945i 0.336700 0.331141i
\(81\) −107.877 720.974i −0.147979 0.988990i
\(82\) 226.866 1128.26i 0.305526 1.51945i
\(83\) −963.525 808.493i −1.27422 1.06920i −0.994013 0.109263i \(-0.965151\pi\)
−0.280211 0.959938i \(1.40960\pi\)
\(84\) 13.0821 + 396.651i 0.0169925 + 0.515216i
\(85\) 37.8295 + 214.542i 0.0482728 + 0.273769i
\(86\) 257.233 421.925i 0.322536 0.529038i
\(87\) 85.8477 312.253i 0.105791 0.384793i
\(88\) 897.103 925.490i 1.08672 1.12111i
\(89\) −704.023 406.468i −0.838498 0.484107i 0.0182555 0.999833i \(-0.494189\pi\)
−0.856753 + 0.515726i \(0.827522\pi\)
\(90\) 151.793 373.553i 0.177782 0.437510i
\(91\) −200.343 + 115.668i −0.230787 + 0.133245i
\(92\) 1205.04 + 57.6388i 1.36559 + 0.0653181i
\(93\) −1122.44 + 775.114i −1.25152 + 0.864254i
\(94\) −27.4765 + 14.9998i −0.0301488 + 0.0164587i
\(95\) −102.486 + 85.9958i −0.110682 + 0.0928735i
\(96\) 576.261 + 743.411i 0.612650 + 0.790355i
\(97\) −23.1201 + 8.41501i −0.0242009 + 0.00880840i −0.354092 0.935211i \(-0.615210\pi\)
0.329891 + 0.944019i \(0.392988\pi\)
\(98\) 227.572 + 675.017i 0.234574 + 0.695786i
\(99\) 544.776 1438.28i 0.553051 1.46013i
\(100\) −618.382 + 470.425i −0.618382 + 0.470425i
\(101\) −1407.93 248.255i −1.38707 0.244577i −0.570249 0.821472i \(-0.693153\pi\)
−0.816819 + 0.576894i \(0.804264\pi\)
\(102\) −605.420 + 34.4655i −0.587701 + 0.0334568i
\(103\) −506.714 + 1392.19i −0.484738 + 1.33181i 0.420650 + 0.907223i \(0.361802\pi\)
−0.905388 + 0.424585i \(0.860420\pi\)
\(104\) −223.948 + 500.462i −0.211153 + 0.471868i
\(105\) −24.5247 + 260.778i −0.0227940 + 0.242375i
\(106\) 1168.02 933.448i 1.07027 0.855326i
\(107\) −57.8822 −0.0522961 −0.0261481 0.999658i \(-0.508324\pi\)
−0.0261481 + 0.999658i \(0.508324\pi\)
\(108\) 983.010 + 541.668i 0.875835 + 0.482611i
\(109\) −1176.29 −1.03365 −0.516826 0.856091i \(-0.672886\pi\)
−0.516826 + 0.856091i \(0.672886\pi\)
\(110\) 664.538 531.078i 0.576011 0.460330i
\(111\) −123.812 87.8995i −0.105872 0.0751626i
\(112\) −497.581 354.618i −0.419794 0.299181i
\(113\) −292.042 + 802.380i −0.243124 + 0.667978i 0.756774 + 0.653677i \(0.226775\pi\)
−0.999898 + 0.0143010i \(0.995448\pi\)
\(114\) −204.229 311.403i −0.167787 0.255838i
\(115\) 784.130 + 138.263i 0.635830 + 0.112114i
\(116\) 301.869 + 396.812i 0.241619 + 0.317612i
\(117\) −8.50754 + 654.180i −0.00672241 + 0.516914i
\(118\) 524.994 + 1557.22i 0.409573 + 1.21486i
\(119\) 370.162 134.728i 0.285148 0.103786i
\(120\) 315.260 + 534.782i 0.239826 + 0.406823i
\(121\) 1466.04 1230.15i 1.10146 0.924232i
\(122\) −403.254 + 220.142i −0.299253 + 0.163367i
\(123\) 1910.29 + 905.949i 1.40036 + 0.664120i
\(124\) 100.337 2097.72i 0.0726654 1.51920i
\(125\) −1015.67 + 586.395i −0.726752 + 0.419590i
\(126\) −712.855 153.009i −0.504017 0.108184i
\(127\) −1149.58 663.710i −0.803218 0.463738i 0.0413769 0.999144i \(-0.486826\pi\)
−0.844595 + 0.535405i \(0.820159\pi\)
\(128\) −1448.12 + 10.4997i −0.999974 + 0.00725041i
\(129\) 637.739 + 646.086i 0.435269 + 0.440967i
\(130\) −188.368 + 308.969i −0.127084 + 0.208449i
\(131\) −170.647 967.787i −0.113813 0.645465i −0.987331 0.158674i \(-0.949278\pi\)
0.873518 0.486792i \(1.83817\pi\)
\(132\) 1250.91 + 2010.52i 0.824829 + 1.32571i
\(133\) 185.314 + 155.497i 0.120818 + 0.101378i
\(134\) 500.548 2489.34i 0.322692 1.60482i
\(135\) 598.387 + 436.634i 0.381489 + 0.278366i
\(136\) 523.524 773.019i 0.330087 0.487396i
\(137\) 1273.58 1517.80i 0.794231 0.946528i −0.205251 0.978709i \(-0.565801\pi\)
0.999482 + 0.0321817i \(0.0102455\pi\)
\(138\) −638.434 + 2122.39i −0.393820 + 1.30920i
\(139\) −1850.84 + 326.353i −1.12940 + 0.199143i −0.706962 0.707251i \(-0.749935\pi\)
−0.422433 + 0.906394i \(0.638824\pi\)
\(140\) −296.182 273.677i −0.178800 0.165214i
\(141\) −14.5231 55.6456i −0.00867421 0.0332355i
\(142\) 170.531 435.834i 0.100779 0.257566i
\(143\) −690.132 + 1195.34i −0.403579 + 0.699019i
\(144\) −1581.32 + 696.720i −0.915114 + 0.403194i
\(145\) 164.530 + 284.974i 0.0942309 + 0.163213i
\(146\) 679.756 103.177i 0.385322 0.0584862i
\(147\) −1304.40 + 105.578i −0.731870 + 0.0592379i
\(148\) 223.246 69.3690i 0.123991 0.0385277i
\(149\) 193.409 + 230.496i 0.106340 + 0.126731i 0.816589 0.577219i \(-0.195862\pi\)
−0.710249 + 0.703950i \(0.751418\pi\)
\(150\) −563.646 1311.40i −0.306810 0.713837i
\(151\) 649.971 + 1785.78i 0.350291 + 0.962416i 0.982277 + 0.187436i \(0.0600177\pi\)
−0.631986 + 0.774980i \(0.717760\pi\)
\(152\) 571.873 + 41.0694i 0.305164 + 0.0219156i
\(153\) 207.699 1094.50i 0.109748 0.578332i
\(154\) −1154.36 1016.60i −0.604032 0.531950i
\(155\) 240.687 1365.00i 0.124725 0.707352i
\(156\) −792.529 621.668i −0.406751 0.319059i
\(157\) 3404.30 + 1239.06i 1.73052 + 0.629860i 0.998668 0.0515987i \(-0.0164317\pi\)
0.731857 + 0.681458i \(0.238654\pi\)
\(158\) −529.549 12.6573i −0.266637 0.00637317i
\(159\) 1144.66 + 2496.98i 0.570925 + 1.24543i
\(160\) −948.955 113.931i −0.468884 0.0562939i
\(161\) 1439.73i 0.704761i
\(162\) −1402.52 + 1511.44i −0.680202 + 0.733025i
\(163\) 1820.76i 0.874927i −0.899236 0.437464i \(-0.855877\pi\)
0.899236 0.437464i \(-0.144123\pi\)
\(164\) −2893.50 + 1490.99i −1.37771 + 0.709920i
\(165\) 651.243 + 1420.64i 0.307268 + 0.670283i
\(166\) −85.0090 + 3556.56i −0.0397469 + 1.66291i
\(167\) −3446.44 1254.40i −1.59697 0.581249i −0.618165 0.786048i \(-0.712124\pi\)
−0.978804 + 0.204799i \(0.934346\pi\)
\(168\) 853.311 729.306i 0.391871 0.334924i
\(169\) −279.550 + 1585.41i −0.127242 + 0.721623i
\(170\) 407.237 462.420i 0.183727 0.208624i
\(171\) 645.870 225.610i 0.288836 0.100894i
\(172\) −1386.47 + 176.665i −0.614636 + 0.0783175i
\(173\) −950.996 2612.84i −0.417936 1.14827i −0.952871 0.303376i \(-0.901886\pi\)
0.534935 0.844893i \(-0.320336\pi\)
\(174\) −841.519 + 361.688i −0.366640 + 0.157583i
\(175\) 596.018 + 710.307i 0.257456 + 0.306824i
\(176\) −3628.99 347.955i −1.55423 0.149023i
\(177\) −3009.16 + 243.563i −1.27787 + 0.103431i
\(178\) 345.052 + 2273.29i 0.145296 + 0.957250i
\(179\) 1293.26 + 2239.99i 0.540016 + 0.935336i 0.998902 + 0.0468406i \(0.0149153\pi\)
−0.458886 + 0.888495i \(0.651751\pi\)
\(180\) −1093.41 + 324.224i −0.452765 + 0.134257i
\(181\) 1543.36 2673.17i 0.633795 1.09777i −0.352974 0.935633i \(-0.614830\pi\)
0.986769 0.162132i \(-0.0518370\pi\)
\(182\) 609.333 + 238.418i 0.248169 + 0.0971027i
\(183\) −213.145 816.671i −0.0860991 0.329891i
\(184\) −2000.49 2764.35i −0.801511 1.10756i
\(185\) 151.946 26.7921i 0.0603852 0.0106475i
\(186\) 3694.62 + 1111.38i 1.45647 + 0.438119i
\(187\) 1510.75 1800.44i 0.590786 0.704071i
\(188\) 81.6602 + 34.2236i 0.0316792 + 0.0132767i
\(189\) 589.636 1202.66i 0.226930 0.462860i
\(190\) 370.978 + 74.5949i 0.141650 + 0.0284825i
\(191\) 856.994 + 719.103i 0.324659 + 0.272421i 0.790520 0.612437i \(-0.209811\pi\)
−0.465860 + 0.884858i \(0.654255\pi\)
\(192\) 625.033 2585.97i 0.234937 0.972011i
\(193\) 427.611 + 2425.10i 0.159482 + 0.904469i 0.954573 + 0.297978i \(0.0963123\pi\)
−0.795090 + 0.606491i \(0.792577\pi\)
\(194\) 59.4182 + 36.2253i 0.0219896 + 0.0134063i
\(195\) −467.006 473.119i −0.171503 0.173748i
\(196\) 1089.62 1694.76i 0.397093 0.617624i
\(197\) 3909.43 + 2257.11i 1.41388 + 0.816307i 0.995752 0.0920792i \(-0.0293513\pi\)
0.418133 + 0.908386i \(0.362685\pi\)
\(198\) −4139.88 + 1336.00i −1.48590 + 0.479524i
\(199\) −1451.43 + 837.981i −0.517030 + 0.298507i −0.735718 0.677287i \(-0.763155\pi\)
0.218689 + 0.975795i \(0.429822\pi\)
\(200\) 2131.35 + 535.661i 0.753544 + 0.189385i
\(201\) 4214.79 + 1998.85i 1.47905 + 0.701435i
\(202\) 1937.57 + 3549.21i 0.674885 + 1.23625i
\(203\) 455.799 382.461i 0.157590 0.132234i
\(204\) 1145.19 + 1276.83i 0.393037 + 0.438217i
\(205\) −2018.75 + 734.766i −0.687785 + 0.250333i
\(206\) 3970.82 1338.70i 1.34301 0.452776i
\(207\) −3499.39 2081.51i −1.17500 0.698914i
\(208\) 1501.23 388.889i 0.500439 0.129638i
\(209\) 1421.43 + 250.636i 0.470442 + 0.0829516i
\(210\) 619.501 406.290i 0.203570 0.133508i
\(211\) 1879.82 5164.78i 0.613329 1.68511i −0.109418 0.993996i \(-0.534899\pi\)
0.722747 0.691113i \(-0.242879\pi\)
\(212\) −4124.96 932.508i −1.33634 0.302099i
\(213\) 701.074 + 497.722i 0.225525 + 0.160110i
\(214\) 102.208 + 127.892i 0.0326484 + 0.0408530i
\(215\) −922.458 −0.292610
\(216\) −538.955 3128.45i −0.169774 0.985483i
\(217\) −2506.26 −0.784037
\(218\) 2077.07 + 2599.04i 0.645308 + 0.807473i
\(219\) −118.265 + 1257.55i −0.0364914 + 0.388023i
\(220\) −2346.86 530.543i −0.719206 0.162587i
\(221\) −341.943 + 939.482i −0.104080 + 0.285956i
\(222\) 24.4096 + 428.778i 0.00737957 + 0.129629i
\(223\) 1079.26 + 190.302i 0.324091 + 0.0571460i 0.333327 0.942811i \(-0.391829\pi\)
−0.00923581 + 0.999957i \(0.502940\pi\)
\(224\) 95.0824 + 1725.60i 0.0283614 + 0.514716i
\(225\) 2588.17 421.738i 0.766864 0.124959i
\(226\) 2288.56 771.555i 0.673597 0.227093i
\(227\) 2316.73 843.221i 0.677387 0.246549i 0.0196617 0.999807i \(-0.493741\pi\)
0.657725 + 0.753258i \(0.271519\pi\)
\(228\) −327.428 + 1001.12i −0.0951074 + 0.290792i
\(229\) 4500.49 3776.36i 1.29869 1.08973i 0.308324 0.951281i \(-0.400232\pi\)
0.990369 0.138451i \(-0.0442125\pi\)
\(230\) −1079.11 1976.70i −0.309366 0.566694i
\(231\) 2325.28 1605.75i 0.662304 0.457361i
\(232\) 343.730 1367.67i 0.0972715 0.387034i
\(233\) −5375.07 + 3103.30i −1.51130 + 0.872548i −0.511385 + 0.859352i \(0.670867\pi\)
−0.999913 + 0.0131965i \(0.995799\pi\)
\(234\) 1460.45 1136.34i 0.408002 0.317457i
\(235\) 50.6078 + 29.2184i 0.0140480 + 0.00811063i
\(236\) 2513.69 3909.70i 0.693337 1.07839i
\(237\) 257.969 938.306i 0.0707041 0.257171i
\(238\) −951.310 579.981i −0.259094 0.157960i
\(239\) 958.624 + 5436.62i 0.259449 + 1.47141i 0.784390 + 0.620268i \(0.212976\pi\)
−0.524942 + 0.851138i \(0.675913\pi\)
\(240\) 624.935 1640.89i 0.168081 0.441328i
\(241\) −985.274 826.743i −0.263349 0.220976i 0.501546 0.865131i \(-0.332765\pi\)
−0.764895 + 0.644155i \(0.777209\pi\)
\(242\) −5306.76 1067.06i −1.40963 0.283444i
\(243\) −2070.70 3171.93i −0.546647 0.837363i
\(244\) 1198.47 + 502.276i 0.314443 + 0.131783i
\(245\) 854.755 1018.66i 0.222891 0.265631i
\(246\) −1371.44 5820.54i −0.355446 1.50855i
\(247\) −604.648 + 106.616i −0.155761 + 0.0274648i
\(248\) −4812.14 + 3482.42i −1.23214 + 0.891670i
\(249\) −6301.85 1732.57i −1.60387 0.440953i
\(250\) 3089.10 + 1208.69i 0.781488 + 0.305778i
\(251\) 1903.55 3297.04i 0.478688 0.829112i −0.521013 0.853549i \(-0.674446\pi\)
0.999701 + 0.0244364i \(0.00777911\pi\)
\(252\) 920.671 + 1845.25i 0.230146 + 0.461269i
\(253\) −4295.07 7439.28i −1.06731 1.84863i
\(254\) 563.426 + 3712.00i 0.139183 + 0.916974i
\(255\) 643.240 + 931.474i 0.157966 + 0.228750i
\(256\) 2580.26 + 3181.11i 0.629947 + 0.776638i
\(257\) 4245.04 + 5059.04i 1.03034 + 1.22791i 0.973299 + 0.229543i \(0.0737232\pi\)
0.0570442 + 0.998372i \(0.481832\pi\)
\(258\) 301.435 2549.95i 0.0727384 0.615321i
\(259\) −95.4185 262.160i −0.0228920 0.0628952i
\(260\) 1015.29 129.369i 0.242176 0.0308583i
\(261\) −270.626 1660.81i −0.0641814 0.393876i
\(262\) −1837.02 + 2085.95i −0.433175 + 0.491873i
\(263\) −1.12649 + 6.38864i −0.000264115 + 0.00149787i −0.984940 0.172899i \(-0.944687\pi\)
0.984675 + 0.174397i \(0.0557976\pi\)
\(264\) 2233.47 6314.06i 0.520685 1.47198i
\(265\) −2622.81 954.624i −0.607992 0.221291i
\(266\) 16.3497 684.030i 0.00376867 0.157671i
\(267\) −4205.58 395.511i −0.963961 0.0906550i
\(268\) −6384.12 + 3289.67i −1.45512 + 0.749808i
\(269\) 4851.68i 1.09967i −0.835272 0.549837i \(-0.814690\pi\)
0.835272 0.549837i \(-0.185310\pi\)
\(270\) −91.8703 2093.15i −0.0207076 0.471797i
\(271\) 1814.38i 0.406700i 0.979106 + 0.203350i \(0.0651829\pi\)
−0.979106 + 0.203350i \(0.934817\pi\)
\(272\) −2632.44 + 208.245i −0.586820 + 0.0464217i
\(273\) −695.859 + 980.163i −0.154268 + 0.217297i
\(274\) −5602.49 133.911i −1.23525 0.0295250i
\(275\) 5198.73 + 1892.18i 1.13998 + 0.414920i
\(276\) 5816.81 2337.05i 1.26859 0.509687i
\(277\) −1466.05 + 8314.38i −0.318001 + 1.80347i 0.236873 + 0.971541i \(0.423877\pi\)
−0.554874 + 0.831934i \(0.687234\pi\)
\(278\) 3989.27 + 3513.20i 0.860648 + 0.757942i
\(279\) −3623.47 + 6091.69i −0.777532 + 1.30717i
\(280\) −81.7029 + 1137.68i −0.0174382 + 0.242819i
\(281\) −611.869 1681.10i −0.129897 0.356889i 0.857646 0.514241i \(-0.171926\pi\)
−0.987543 + 0.157352i \(0.949704\pi\)
\(282\) −97.3057 + 130.347i −0.0205478 + 0.0275251i
\(283\) 394.697 + 470.381i 0.0829056 + 0.0988031i 0.805903 0.592048i \(-0.201680\pi\)
−0.722997 + 0.690851i \(0.757236\pi\)
\(284\) −1264.11 + 392.795i −0.264123 + 0.0820708i
\(285\) −297.882 + 628.115i −0.0619124 + 0.130549i
\(286\) 3859.77 585.856i 0.798017 0.121127i
\(287\) 1942.28 + 3364.13i 0.399475 + 0.691910i
\(288\) 4331.69 + 2263.71i 0.886275 + 0.463160i
\(289\) −1605.29 + 2780.45i −0.326744 + 0.565937i
\(290\) 339.133 866.737i 0.0686710 0.175505i
\(291\) −90.9862 + 89.8106i −0.0183289 + 0.0180921i
\(292\) −1428.27 1319.75i −0.286245 0.264495i
\(293\) 4107.10 724.192i 0.818905 0.144395i 0.251525 0.967851i \(-0.419068\pi\)
0.567380 + 0.823456i \(0.307957\pi\)
\(294\) 2536.56 + 2695.67i 0.503182 + 0.534744i
\(295\) 1971.87 2349.98i 0.389174 0.463800i
\(296\) −547.477 370.777i −0.107505 0.0728073i
\(297\) −541.104 7973.34i −0.105717 1.55778i
\(298\) 167.768 834.348i 0.0326125 0.162190i
\(299\) 2799.19 + 2348.80i 0.541409 + 0.454296i
\(300\) −1902.30 + 3561.05i −0.366098 + 0.685323i
\(301\) 289.642 + 1642.64i 0.0554640 + 0.314552i
\(302\) 2798.02 4589.43i 0.533139 0.874477i
\(303\) −7187.88 + 1875.98i −1.36281 + 0.355684i
\(304\) −919.060 1336.09i −0.173394 0.252072i
\(305\) 742.735 + 428.818i 0.139439 + 0.0805051i
\(306\) −2785.07 + 1473.73i −0.520300 + 0.275318i
\(307\) 1282.50 740.453i 0.238424 0.137654i −0.376028 0.926608i \(-0.622710\pi\)
0.614452 + 0.788954i \(0.289377\pi\)
\(308\) −207.861 + 4345.69i −0.0384544 + 0.803957i
\(309\) 621.071 + 7673.18i 0.114341 + 1.41266i
\(310\) −3441.01 + 1878.50i −0.630439 + 0.344166i
\(311\) 1709.91 1434.79i 0.311769 0.261605i −0.473454 0.880819i \(-0.656993\pi\)
0.785223 + 0.619214i \(0.212548\pi\)
\(312\) 25.8452 + 2848.85i 0.00468972 + 0.516936i
\(313\) −6499.46 + 2365.61i −1.17371 + 0.427195i −0.853976 0.520312i \(-0.825815\pi\)
−0.319733 + 0.947508i \(0.603593\pi\)
\(314\) −3273.51 9709.80i −0.588328 1.74508i
\(315\) 448.826 + 1284.89i 0.0802809 + 0.229826i
\(316\) 907.103 + 1192.40i 0.161483 + 0.212272i
\(317\) 130.059 + 22.9329i 0.0230436 + 0.00406322i 0.185158 0.982709i \(-0.440720\pi\)
−0.162114 + 0.986772i \(0.551831\pi\)
\(318\) 3495.93 6938.28i 0.616485 1.22352i
\(319\) 1214.20 3335.99i 0.213111 0.585516i
\(320\) 1423.92 + 2297.92i 0.248748 + 0.401430i
\(321\) −273.406 + 125.334i −0.0475391 + 0.0217927i
\(322\) −3181.12 + 2542.25i −0.550549 + 0.439982i
\(323\) 1045.48 0.180099
\(324\) 5816.12 + 430.030i 0.997278 + 0.0737363i
\(325\) −2353.36 −0.401665
\(326\) −4023.02 + 3215.07i −0.683480 + 0.546216i
\(327\) −5556.19 + 2547.04i −0.939627 + 0.430740i
\(328\) 8403.69 + 3760.50i 1.41468 + 0.633046i
\(329\) 36.1396 99.2926i 0.00605604 0.0166388i
\(330\) 1988.98 3947.48i 0.331788 0.658490i
\(331\) −6127.72 1080.48i −1.01755 0.179422i −0.360097 0.932915i \(-0.617256\pi\)
−0.657456 + 0.753493i \(0.728367\pi\)
\(332\) 8008.42 6092.29i 1.32385 1.00710i
\(333\) −775.157 147.099i −0.127563 0.0242072i
\(334\) 3314.04 + 9830.01i 0.542923 + 1.61040i
\(335\) −4454.10 + 1621.16i −0.726429 + 0.264399i
\(336\) −3118.18 597.614i −0.506282 0.0970314i
\(337\) −1297.66 + 1088.87i −0.209757 + 0.176007i −0.741613 0.670828i \(-0.765939\pi\)
0.531857 + 0.846834i \(0.321495\pi\)
\(338\) 3996.62 2181.81i 0.643158 0.351109i
\(339\) 357.951 + 4422.40i 0.0573488 + 0.708530i
\(340\) −1740.82 83.2660i −0.277675 0.0132816i
\(341\) −12950.2 + 7476.80i −2.05658 + 1.18737i
\(342\) −1638.96 1028.69i −0.259137 0.162646i
\(343\) −4918.27 2839.57i −0.774233 0.447003i
\(344\) 2838.56 + 2751.49i 0.444897 + 0.431251i
\(345\) 4003.21 1044.81i 0.624712 0.163045i
\(346\) −4093.88 + 6714.97i −0.636094 + 1.04335i
\(347\) −1192.57 6763.41i −0.184497 1.04634i −0.926600 0.376050i \(-0.877282\pi\)
0.742102 0.670287i \(1.76617\pi\)
\(348\) 2285.10 + 1220.69i 0.351995 + 0.188035i
\(349\) 258.435 + 216.852i 0.0396381 + 0.0332603i 0.662391 0.749158i \(-0.269542\pi\)
−0.622753 + 0.782418i \(0.713986\pi\)
\(350\) 517.001 2571.17i 0.0789568 0.392670i
\(351\) 1376.32 + 3108.43i 0.209296 + 0.472695i
\(352\) 5639.19 + 8632.75i 0.853892 + 1.30718i
\(353\) −205.774 + 245.232i −0.0310262 + 0.0369756i −0.781334 0.624113i \(-0.785461\pi\)
0.750308 + 0.661088i \(0.229905\pi\)
\(354\) 5851.69 + 6218.74i 0.878570 + 0.933679i
\(355\) −860.376 + 151.708i −0.128631 + 0.0226811i
\(356\) 4413.61 4776.55i 0.657081 0.711114i
\(357\) 1456.73 1437.90i 0.215961 0.213171i
\(358\) 2665.70 6812.84i 0.393539 1.00578i
\(359\) 548.402 949.860i 0.0806227 0.139643i −0.822895 0.568194i \(-0.807642\pi\)
0.903518 + 0.428551i \(0.140976\pi\)
\(360\) 2647.10 + 1843.40i 0.387541 + 0.269877i
\(361\) −3108.48 5384.04i −0.453197 0.784961i
\(362\) −8631.69 + 1310.16i −1.25324 + 0.190223i
\(363\) 4261.14 8985.06i 0.616121 1.29916i
\(364\) −549.162 1767.33i −0.0790766 0.254487i
\(365\) −824.992 983.187i −0.118307 0.140993i
\(366\) −1428.09 + 1913.02i −0.203955 + 0.273210i
\(367\) 1678.09 + 4610.52i 0.238680 + 0.655769i 0.999973 + 0.00736033i \(0.00234289\pi\)
−0.761293 + 0.648409i \(0.775435\pi\)
\(368\) −2575.46 + 9301.37i −0.364824 + 1.31758i
\(369\) 10984.9 + 142.857i 1.54973 + 0.0201541i
\(370\) −327.501 288.419i −0.0460161 0.0405248i
\(371\) −876.386 + 4970.23i −0.122641 + 0.695530i
\(372\) −4068.30 10125.8i −0.567020 1.41129i
\(373\) 5076.05 + 1847.53i 0.704633 + 0.256465i 0.669387 0.742913i \(-0.266557\pi\)
0.0352450 + 0.999379i \(0.488779\pi\)
\(374\) −6645.78 158.848i −0.918837 0.0219621i
\(375\) −3527.76 + 4969.08i −0.485794 + 0.684272i
\(376\) −68.5764 240.862i −0.00940574 0.0330359i
\(377\) 1510.14i 0.206303i
\(378\) −3698.48 + 820.823i −0.503252 + 0.111689i
\(379\) 2818.57i 0.382006i −0.981589 0.191003i \(-0.938826\pi\)
0.981589 0.191003i \(-0.0611739\pi\)
\(380\) −490.248 951.404i −0.0661820 0.128437i
\(381\) −6867.18 645.819i −0.923402 0.0868408i
\(382\) 75.6101 3163.33i 0.0101271 0.423692i
\(383\) 8135.01 + 2960.90i 1.08533 + 0.395026i 0.821887 0.569650i \(-0.192921\pi\)
0.263438 + 0.964676i \(0.415143\pi\)
\(384\) −6817.43 + 3185.23i −0.905991 + 0.423296i
\(385\) −498.613 + 2827.78i −0.0660044 + 0.374329i
\(386\) 4603.25 5227.02i 0.606993 0.689245i
\(387\) 4411.34 + 1670.87i 0.579434 + 0.219471i
\(388\) −24.8792 195.252i −0.00325528 0.0255475i
\(389\) −3471.45 9537.73i −0.452467 1.24314i −0.930983 0.365063i \(-0.881047\pi\)
0.478516 0.878079i \(-0.341175\pi\)
\(390\) −220.736 + 1867.29i −0.0286600 + 0.242446i
\(391\) −3999.52 4766.45i −0.517301 0.616495i
\(392\) −5668.66 + 585.031i −0.730384 + 0.0753789i
\(393\) −2901.62 4201.83i −0.372436 0.539324i
\(394\) −1916.07 12623.6i −0.245000 1.61413i
\(395\) 494.406 + 856.336i 0.0629779 + 0.109081i
\(396\) 10262.1 + 6788.08i 1.30224 + 0.861399i
\(397\) 744.960 1290.31i 0.0941775 0.163120i −0.815088 0.579338i \(-0.803311\pi\)
0.909265 + 0.416218i \(0.136645\pi\)
\(398\) 4414.45 + 1727.27i 0.555971 + 0.217538i
\(399\) 1212.03 + 333.224i 0.152074 + 0.0418097i
\(400\) −2579.94 5655.12i −0.322493 0.706890i
\(401\) 12869.3 2269.20i 1.60264 0.282589i 0.700379 0.713771i \(-0.253014\pi\)
0.902265 + 0.431182i \(0.141903\pi\)
\(402\) −3025.89 12842.2i −0.375417 1.59331i
\(403\) 4088.75 4872.79i 0.505398 0.602310i
\(404\) 4420.75 10548.3i 0.544407 1.29900i
\(405\) 3771.93 + 766.734i 0.462787 + 0.0940724i
\(406\) −1649.90 331.756i −0.201683 0.0405537i
\(407\) −1275.13 1069.96i −0.155297 0.130310i
\(408\) 799.028 4784.95i 0.0969553 0.580613i
\(409\) −1324.63 7512.34i −0.160143 0.908219i −0.953932 0.300024i \(-0.903005\pi\)
0.793788 0.608194i \(-0.208106\pi\)
\(410\) 5188.17 + 3163.05i 0.624940 + 0.381004i
\(411\) 2729.24 9927.03i 0.327551 1.19140i
\(412\) −9969.52 6409.77i −1.19214 0.766472i
\(413\) −4803.80 2773.48i −0.572348 0.330445i
\(414\) 1580.02 + 11407.5i 0.187569 + 1.35422i
\(415\) 5751.33 3320.53i 0.680293 0.392767i
\(416\) −3510.10 2630.30i −0.413695 0.310003i
\(417\) −8035.76 + 5549.18i −0.943676 + 0.651666i
\(418\) −1956.15 3583.25i −0.228896 0.419289i
\(419\) 4214.48 3536.37i 0.491386 0.412322i −0.363137 0.931736i \(-0.618294\pi\)
0.854523 + 0.519414i \(0.173850\pi\)
\(420\) −1991.61 651.383i −0.231383 0.0756767i
\(421\) 13437.5 4890.84i 1.55559 0.566188i 0.585868 0.810407i \(-0.300754\pi\)
0.969720 + 0.244219i \(0.0785315\pi\)
\(422\) −14731.1 + 4966.36i −1.69928 + 0.572888i
\(423\) −189.090 231.394i −0.0217349 0.0265976i
\(424\) 5223.38 + 10760.8i 0.598278 + 1.23253i
\(425\) 3946.42 + 695.860i 0.450422 + 0.0794216i
\(426\) −138.217 2427.91i −0.0157198 0.276133i
\(427\) 530.395 1457.25i 0.0601115 0.165155i
\(428\) 102.105 451.660i 0.0115313 0.0510089i
\(429\) −671.529 + 7140.56i −0.0755751 + 0.803612i
\(430\) 1628.86 + 2038.19i 0.182676 + 0.228582i
\(431\) −1877.90 −0.209873 −0.104936 0.994479i \(-0.533464\pi\)
−0.104936 + 0.994479i \(0.533464\pi\)
\(432\) −5960.72 + 6715.01i −0.663855 + 0.747862i
\(433\) 5623.60 0.624141 0.312071 0.950059i \(-0.398977\pi\)
0.312071 + 0.950059i \(0.398977\pi\)
\(434\) 4425.52 + 5537.65i 0.489474 + 0.612478i
\(435\) 1394.22 + 989.814i 0.153673 + 0.109099i
\(436\) 2074.98 9178.69i 0.227921 1.00821i
\(437\) 1306.90 3590.67i 0.143060 0.393055i
\(438\) 2987.41 1959.25i 0.325899 0.213736i
\(439\) −13075.2 2305.51i −1.42152 0.250652i −0.590562 0.806992i \(-0.701094\pi\)
−0.830954 + 0.556341i \(0.812205\pi\)
\(440\) 2971.80 + 6122.28i 0.321989 + 0.663337i
\(441\) −5932.70 + 3323.14i −0.640611 + 0.358832i
\(442\) 2679.61 903.390i 0.288362 0.0972169i
\(443\) −14176.7 + 5159.90i −1.52044 + 0.553395i −0.961258 0.275649i \(-0.911107\pi\)
−0.559183 + 0.829044i \(0.688885\pi\)
\(444\) 904.294 811.063i 0.0966574 0.0866923i
\(445\) 3288.05 2759.00i 0.350266 0.293908i
\(446\) −1485.26 2720.67i −0.157688 0.288851i
\(447\) 1412.66 + 669.953i 0.149478 + 0.0708896i
\(448\) 3644.86 3257.12i 0.384382 0.343492i
\(449\) −2044.74 + 1180.53i −0.214916 + 0.124082i −0.603594 0.797292i \(-0.706265\pi\)
0.388678 + 0.921374i \(0.372932\pi\)
\(450\) −5501.99 4973.92i −0.576369 0.521051i
\(451\) 20072.1 + 11588.6i 2.09569 + 1.20995i
\(452\) −5745.88 3694.24i −0.597928 0.384430i
\(453\) 6936.92 + 7027.72i 0.719481 + 0.728899i
\(454\) −5953.97 3629.93i −0.615492 0.375244i
\(455\) −212.100 1202.88i −0.0218537 0.123938i
\(456\) 2790.16 1044.30i 0.286538 0.107245i
\(457\) 8976.55 + 7532.22i 0.918830 + 0.770990i 0.973778 0.227500i \(-0.0730550\pi\)
−0.0549485 + 0.998489i \(0.517499\pi\)
\(458\) −16290.9 3275.71i −1.66206 0.334200i
\(459\) −1388.87 5619.58i −0.141235 0.571458i
\(460\) −2462.09 + 5874.74i −0.249556 + 0.595459i
\(461\) 5710.79 6805.85i 0.576958 0.687592i −0.396085 0.918214i \(-0.629631\pi\)
0.973044 + 0.230622i \(0.0740759\pi\)
\(462\) −7653.89 2302.36i −0.770760 0.231852i
\(463\) 6353.60 1120.31i 0.637747 0.112452i 0.154580 0.987980i \(-0.450598\pi\)
0.483167 + 0.875528i \(0.339486\pi\)
\(464\) −3628.86 + 1655.53i −0.363072 + 0.165638i
\(465\) −1818.79 6968.74i −0.181385 0.694984i
\(466\) 16348.0 + 6396.59i 1.62512 + 0.635872i
\(467\) 651.633 1128.66i 0.0645695 0.111838i −0.831933 0.554875i \(-0.812766\pi\)
0.896503 + 0.443038i \(0.146099\pi\)
\(468\) −5089.62 1220.36i −0.502709 0.120537i
\(469\) 4285.38 + 7422.49i 0.421920 + 0.730787i
\(470\) −24.8036 163.413i −0.00243427 0.0160376i
\(471\) 18763.1 1518.70i 1.83558 0.148573i
\(472\) −13077.2 + 1349.63i −1.27527 + 0.131614i
\(473\) 6397.03 + 7623.68i 0.621851 + 0.741093i
\(474\) −2528.73 + 1086.86i −0.245039 + 0.105319i
\(475\) 841.690 + 2312.52i 0.0813040 + 0.223381i
\(476\) 398.326 + 3126.07i 0.0383556 + 0.301015i
\(477\) 10813.5 + 9315.93i 1.03798 + 0.894229i
\(478\) 10319.6 11718.0i 0.987467 1.12127i
\(479\) −28.0577 + 159.123i −0.00267638 + 0.0151785i −0.986117 0.166054i \(-0.946897\pi\)
0.983440 + 0.181232i \(0.0580086\pi\)
\(480\) −4729.08 + 1516.64i −0.449691 + 0.144219i
\(481\) 665.371 + 242.175i 0.0630734 + 0.0229568i
\(482\) −86.9279 + 3636.84i −0.00821464 + 0.343679i
\(483\) −3117.48 6800.55i −0.293686 0.640654i
\(484\) 7012.89 + 13609.6i 0.658611 + 1.27814i
\(485\) 129.907i 0.0121624i
\(486\) −3352.05 + 10176.2i −0.312864 + 0.949798i
\(487\) 13148.6i 1.22345i 0.791072 + 0.611723i \(0.209523\pi\)
−0.791072 + 0.611723i \(0.790477\pi\)
\(488\) −1006.45 3534.96i −0.0933602 0.327910i
\(489\) −3942.54 8600.36i −0.364597 0.795341i
\(490\) −3760.06 89.8732i −0.346658 0.00828583i
\(491\) −4657.88 1695.33i −0.428121 0.155823i 0.118967 0.992898i \(-0.462042\pi\)
−0.547088 + 0.837075i \(0.684264\pi\)
\(492\) −10439.0 + 13308.1i −0.956555 + 1.21946i
\(493\) 446.529 2532.39i 0.0407924 0.231345i
\(494\) 1303.25 + 1147.73i 0.118696 + 0.104532i
\(495\) 6152.29 + 5300.23i 0.558636 + 0.481268i
\(496\) 16191.7 + 4483.33i 1.46578 + 0.405862i
\(497\) 540.298 + 1484.46i 0.0487639 + 0.133978i
\(498\) 7299.56 + 16983.5i 0.656829 + 1.52821i
\(499\) 2289.57 + 2728.60i 0.205401 + 0.244788i 0.858904 0.512136i \(-0.171146\pi\)
−0.653503 + 0.756924i \(0.726701\pi\)
\(500\) −2784.06 8959.75i −0.249013 0.801384i
\(501\) −18995.4 + 1537.50i −1.69392 + 0.137107i
\(502\) −10646.1 + 1615.93i −0.946535 + 0.143670i
\(503\) −5326.99 9226.61i −0.472204 0.817882i 0.527290 0.849685i \(-0.323208\pi\)
−0.999494 + 0.0318038i \(0.989875\pi\)
\(504\) 2451.42 5292.56i 0.216657 0.467757i
\(505\) 3774.21 6537.13i 0.332575 0.576037i
\(506\) −8853.11 + 22626.2i −0.777804 + 1.98786i
\(507\) 2112.46 + 8093.96i 0.185045 + 0.709005i
\(508\) 7206.86 7799.49i 0.629435 0.681194i
\(509\) −14528.0 + 2561.68i −1.26511 + 0.223074i −0.765648 0.643260i \(-0.777581\pi\)
−0.499466 + 0.866334i \(0.666470\pi\)
\(510\) 922.293 3066.04i 0.0800780 0.266209i
\(511\) −1491.74 + 1777.79i −0.129141 + 0.153904i
\(512\) 2472.56 11318.3i 0.213423 0.976960i
\(513\) 2562.24 2464.18i 0.220518 0.212079i
\(514\) 3682.25 18312.7i 0.315987 1.57147i
\(515\) −5992.30 5028.14i −0.512723 0.430226i
\(516\) −6166.45 + 3836.63i −0.526091 + 0.327323i
\(517\) −109.477 620.872i −0.00931290 0.0528161i
\(518\) −410.761 + 673.748i −0.0348413 + 0.0571483i
\(519\) −10149.7 10282.5i −0.858422 0.869658i
\(520\) −2078.63 2014.87i −0.175296 0.169919i
\(521\) 9836.05 + 5678.85i 0.827112 + 0.477533i 0.852863 0.522135i \(-0.174864\pi\)
−0.0257510 + 0.999668i \(0.508198\pi\)
\(522\) −3191.74 + 3530.59i −0.267622 + 0.296034i
\(523\) −16764.0 + 9678.72i −1.40161 + 0.809217i −0.994557 0.104189i \(-0.966775\pi\)
−0.407048 + 0.913407i \(0.633442\pi\)
\(524\) 7852.76 + 375.608i 0.654674 + 0.0313140i
\(525\) 4353.33 + 2064.56i 0.361895 + 0.171628i
\(526\) 16.1050 8.79196i 0.00133500 0.000728798i
\(527\) −8297.36 + 6962.31i −0.685842 + 0.575490i
\(528\) −17894.9 + 6214.36i −1.47496 + 0.512207i
\(529\) −9936.63 + 3616.64i −0.816687 + 0.297250i
\(530\) 2522.05 + 7480.82i 0.206700 + 0.613106i
\(531\) −13686.4 + 7666.27i −1.11853 + 0.626531i
\(532\) −1540.25 + 1171.73i −0.125523 + 0.0954901i
\(533\) −9709.36 1712.02i −0.789041 0.139129i
\(534\) 6552.26 + 9990.73i 0.530981 + 0.809628i
\(535\) 104.526 287.183i 0.00844684 0.0232075i
\(536\) 18541.6 + 8297.04i 1.49417 + 0.668615i
\(537\) 10959.0 + 7780.27i 0.880664 + 0.625221i
\(538\) −10719.9 + 8567.03i −0.859049 + 0.686526i
\(539\) −14346.2 −1.14645
\(540\) −4462.65 + 3899.05i −0.355633 + 0.310719i
\(541\) 8551.95 0.679625 0.339812 0.940493i \(-0.389636\pi\)
0.339812 + 0.940493i \(0.389636\pi\)
\(542\) 4008.92 3203.80i 0.317708 0.253903i
\(543\) 1501.76 15968.6i 0.118686 1.26202i
\(544\) 5108.44 + 5448.72i 0.402615 + 0.429434i
\(545\) 2124.19 5836.17i 0.166955 0.458705i
\(546\) 3394.43 193.239i 0.266059 0.0151463i
\(547\) −20528.0 3619.64i −1.60460 0.282933i −0.701596 0.712575i \(-0.747529\pi\)
−0.903000 + 0.429642i \(0.858640\pi\)
\(548\) 9596.92 + 12615.3i 0.748102 + 0.983393i
\(549\) −2775.15 3396.01i −0.215738 0.264004i
\(550\) −4999.01 14827.9i −0.387561 1.14957i
\(551\) 1483.93 540.107i 0.114733 0.0417592i
\(552\) −15435.0 8725.67i −1.19014 0.672806i
\(553\) 1369.66 1149.28i 0.105323 0.0883767i
\(554\) 20959.6 11442.1i 1.60738 0.877490i
\(555\) 659.700 455.563i 0.0504553 0.0348425i
\(556\) 718.330 15017.9i 0.0547913 1.14551i
\(557\) −4646.08 + 2682.42i −0.353431 + 0.204053i −0.666195 0.745777i \(-0.732078\pi\)
0.312765 + 0.949831i \(0.398745\pi\)
\(558\) 19858.0 2750.47i 1.50655 0.208668i
\(559\) −3666.22 2116.69i −0.277396 0.160155i
\(560\) 2658.00 1828.37i 0.200573 0.137969i
\(561\) 3237.48 11775.6i 0.243648 0.886217i
\(562\) −2634.00 + 4320.40i −0.197702 + 0.324279i
\(563\) 237.858 + 1348.96i 0.0178055 + 0.100980i 0.992415 0.122930i \(-0.0392290\pi\)
−0.974610 + 0.223910i \(0.928118\pi\)
\(564\) 459.827 15.1657i 0.0343301 0.00113225i
\(565\) −3453.63 2897.94i −0.257160 0.215783i
\(566\) 342.370 1702.69i 0.0254256 0.126447i
\(567\) 180.994 6957.50i 0.0134057 0.515322i
\(568\) 3100.03 + 2099.49i 0.229004 + 0.155092i
\(569\) −277.197 + 330.351i −0.0204230 + 0.0243392i −0.776159 0.630537i \(-0.782835\pi\)
0.755736 + 0.654876i \(0.227279\pi\)
\(570\) 1913.83 450.938i 0.140634 0.0331363i
\(571\) 4165.65 734.517i 0.305302 0.0538329i −0.0188986 0.999821i \(-0.506016\pi\)
0.324200 + 0.945989i \(0.394905\pi\)
\(572\) −8109.99 7493.76i −0.592824 0.547780i
\(573\) 5605.10 + 1541.01i 0.408650 + 0.112350i
\(574\) 4003.48 10231.8i 0.291118 0.744023i
\(575\) 7323.14 12684.0i 0.531123 0.919933i
\(576\) −2647.11 13568.2i −0.191487 0.981495i
\(577\) 13.7967 + 23.8966i 0.000995431 + 0.00172414i 0.866523 0.499138i \(-0.166350\pi\)
−0.865527 + 0.500862i \(0.833016\pi\)
\(578\) 8978.08 1362.74i 0.646088 0.0980666i
\(579\) 7270.94 + 10529.0i 0.521882 + 0.755737i
\(580\) −2513.91 + 781.147i −0.179973 + 0.0559230i
\(581\) −7718.79 9198.90i −0.551169 0.656858i
\(582\) 359.101 + 42.4501i 0.0255760 + 0.00302339i
\(583\) 10299.0 + 28296.4i 0.731634 + 2.01015i
\(584\) −393.995 + 5486.20i −0.0279172 + 0.388734i
\(585\) −3230.36 1223.56i −0.228306 0.0864749i
\(586\) −8852.37 7795.97i −0.624041 0.549571i
\(587\) −670.392 + 3801.98i −0.0471380 + 0.267333i −0.999263 0.0383747i \(-0.987782\pi\)
0.952125 + 0.305708i \(0.0988931\pi\)
\(588\) 1477.13 10364.6i 0.103598 0.726918i
\(589\) −6250.59 2275.03i −0.437268 0.159153i
\(590\) −8674.23 207.332i −0.605275 0.0144673i
\(591\) 23353.5 + 2196.27i 1.62544 + 0.152864i
\(592\) 147.486 + 1864.38i 0.0102392 + 0.129435i
\(593\) 1533.66i 0.106206i −0.998589 0.0531028i \(-0.983089\pi\)
0.998589 0.0531028i \(-0.0169111\pi\)
\(594\) −16661.8 + 15274.8i −1.15091 + 1.05510i
\(595\) 2079.86i 0.143304i
\(596\) −2139.76 + 1102.59i −0.147060 + 0.0757784i
\(597\) −5041.30 + 7101.00i −0.345606 + 0.486809i
\(598\) 246.964 10332.3i 0.0168882 0.706557i
\(599\) 876.020 + 318.845i 0.0597550 + 0.0217490i 0.371725 0.928343i \(-0.378767\pi\)
−0.311970 + 0.950092i \(0.600989\pi\)
\(600\) 11227.3 2084.86i 0.763919 0.141857i
\(601\) −2069.27 + 11735.4i −0.140445 + 0.796502i 0.830468 + 0.557067i \(0.188073\pi\)
−0.970912 + 0.239435i \(0.923038\pi\)
\(602\) 3118.01 3540.52i 0.211097 0.239702i
\(603\) 24236.7 + 315.196i 1.63681 + 0.0212865i
\(604\) −15081.2 + 1921.66i −1.01597 + 0.129455i
\(605\) 3455.98 + 9495.23i 0.232241 + 0.638076i
\(606\) 16837.3 + 12569.2i 1.12866 + 0.842557i
\(607\) −5878.89 7006.19i −0.393108 0.468488i 0.532797 0.846243i \(-0.321141\pi\)
−0.925906 + 0.377754i \(0.876696\pi\)
\(608\) −1329.26 + 4389.93i −0.0886652 + 0.292821i
\(609\) 1324.81 2793.50i 0.0881513 0.185876i
\(610\) −364.025 2398.29i −0.0241622 0.159187i
\(611\) 134.091 + 232.252i 0.00887843 + 0.0153779i
\(612\) 8174.07 + 3551.39i 0.539897 + 0.234570i
\(613\) −1018.10 + 1763.40i −0.0670810 + 0.116188i −0.897615 0.440780i \(-0.854702\pi\)
0.830534 + 0.556968i \(0.188035\pi\)
\(614\) −3900.67 1526.24i −0.256382 0.100316i
\(615\) −7944.56 + 7841.91i −0.520903 + 0.514173i
\(616\) 9968.96 7214.29i 0.652047 0.471870i
\(617\) −10528.2 + 1856.40i −0.686952 + 0.121128i −0.506220 0.862404i \(-0.668958\pi\)
−0.180732 + 0.983532i \(0.557847\pi\)
\(618\) 15857.4 14921.5i 1.03217 0.971245i
\(619\) 6707.54 7993.73i 0.435539 0.519055i −0.502973 0.864302i \(-0.667760\pi\)
0.938512 + 0.345247i \(0.112205\pi\)
\(620\) 10226.7 + 4285.97i 0.662440 + 0.277627i
\(621\) −21036.5 2254.70i −1.35936 0.145697i
\(622\) −6189.53 1244.57i −0.398999 0.0802293i
\(623\) −5945.43 4988.81i −0.382341 0.320822i
\(624\) 6248.96 5087.55i 0.400895 0.326386i
\(625\) 1032.87 + 5857.67i 0.0661034 + 0.374891i
\(626\) 16703.5 + 10183.6i 1.06646 + 0.650187i
\(627\) 7256.82 1893.97i 0.462216 0.120635i
\(628\) −15673.7 + 24378.3i −0.995939 + 1.54905i
\(629\) −1044.17 602.852i −0.0661905 0.0382151i
\(630\) 2046.46 3260.53i 0.129417 0.206194i
\(631\) 11731.8 6773.35i 0.740150 0.427326i −0.0819736 0.996634i \(-0.526122\pi\)
0.822124 + 0.569308i \(0.192789\pi\)
\(632\) 1032.89 4109.79i 0.0650100 0.258669i
\(633\) −2304.07 28466.2i −0.144674 1.78741i
\(634\) −178.985 327.863i −0.0112120 0.0205380i
\(635\) 5368.97 4505.10i 0.335529 0.281542i
\(636\) −21503.4 + 4527.16i −1.34067 + 0.282254i
\(637\) 5734.58 2087.22i 0.356691 0.129825i
\(638\) −9514.98 + 3207.84i −0.590442 + 0.199059i
\(639\) 4389.25 + 832.935i 0.271731 + 0.0515655i
\(640\) 2562.98 7203.81i 0.158298 0.444931i
\(641\) 4397.50 + 775.399i 0.270969 + 0.0477791i 0.307481 0.951554i \(-0.400514\pi\)
−0.0365127 + 0.999333i \(0.511625\pi\)
\(642\) 759.704 + 382.786i 0.0467027 + 0.0235317i
\(643\) −8123.03 + 22317.8i −0.498198 + 1.36879i 0.394817 + 0.918760i \(0.370808\pi\)
−0.893015 + 0.450027i \(0.851414\pi\)
\(644\) 11234.3 + 2539.69i 0.687415 + 0.155400i
\(645\) −4357.22 + 1997.42i −0.265993 + 0.121935i
\(646\) −1846.09 2310.01i −0.112435 0.140690i
\(647\) −2649.74 −0.161008 −0.0805040 0.996754i \(-0.525653\pi\)
−0.0805040 + 0.996754i \(0.525653\pi\)
\(648\) −9319.86 13610.2i −0.564998 0.825092i
\(649\) −33095.9 −2.00174
\(650\) 4155.53 + 5199.82i 0.250759 + 0.313775i
\(651\) −11838.3 + 5426.86i −0.712718 + 0.326721i
\(652\) 14207.6 + 3211.84i 0.853392 + 0.192922i
\(653\) −6103.11 + 16768.1i −0.365747 + 1.00488i 0.611214 + 0.791466i \(0.290682\pi\)
−0.976961 + 0.213417i \(0.931541\pi\)
\(654\) 15438.8 + 7779.01i 0.923096 + 0.465112i
\(655\) 5109.85 + 901.004i 0.304822 + 0.0537483i
\(656\) −6530.18 25208.4i −0.388660 1.50034i
\(657\) 2164.37 + 6196.09i 0.128524 + 0.367934i
\(658\) −283.204 + 95.4781i −0.0167788 + 0.00565672i
\(659\) 24376.5 8872.31i 1.44093 0.524455i 0.500886 0.865513i \(-0.333007\pi\)
0.940042 + 0.341058i \(0.110785\pi\)
\(660\) −12234.2 + 2575.70i −0.721538 + 0.151907i
\(661\) −18847.9 + 15815.3i −1.10908 + 0.930625i −0.998002 0.0631874i \(-0.979873\pi\)
−0.111074 + 0.993812i \(0.535429\pi\)
\(662\) 8432.88 + 15447.3i 0.495096 + 0.906910i
\(663\) 419.114 + 5178.05i 0.0245506 + 0.303317i
\(664\) −27602.2 6937.13i −1.61321 0.405441i
\(665\) −1106.15 + 638.635i −0.0645031 + 0.0372409i
\(666\) 1043.74 + 1972.48i 0.0607270 + 0.114763i
\(667\) −8139.27 4699.21i −0.472495 0.272795i
\(668\) 15867.8 24680.2i 0.919076 1.42950i
\(669\) 5509.92 1438.05i 0.318424 0.0831063i
\(670\) 11447.0 + 6978.84i 0.660053 + 0.402412i
\(671\) −1606.71 9112.11i −0.0924387 0.524246i
\(672\) 4185.60 + 7944.96i 0.240272 + 0.456077i
\(673\) −24683.4 20711.9i −1.41378 1.18631i −0.954573 0.297978i \(-0.903688\pi\)
−0.459211 0.888327i \(-0.651868\pi\)
\(674\) 4697.26 + 944.509i 0.268445 + 0.0539780i
\(675\) 11312.0 7596.29i 0.645035 0.433158i
\(676\) −11877.9 4978.02i −0.675804 0.283228i
\(677\) −8126.69 + 9685.01i −0.461350 + 0.549816i −0.945692 0.325063i \(-0.894615\pi\)
0.484342 + 0.874879i \(0.339059\pi\)
\(678\) 9139.34 8599.91i 0.517691 0.487135i
\(679\) −231.328 + 40.7893i −0.0130744 + 0.00230537i
\(680\) 2889.94 + 3993.42i 0.162977 + 0.225207i
\(681\) 9117.21 8999.42i 0.513028 0.506400i
\(682\) 39387.5 + 15411.4i 2.21147 + 0.865296i
\(683\) −1127.87 + 1953.53i −0.0631871 + 0.109443i −0.895888 0.444279i \(-0.853460\pi\)
0.832701 + 0.553722i \(0.186793\pi\)
\(684\) 621.138 + 5437.76i 0.0347219 + 0.303974i
\(685\) 5230.68 + 9059.81i 0.291758 + 0.505340i
\(686\) 2410.52 + 15881.1i 0.134160 + 0.883883i
\(687\) 13081.0 27582.6i 0.726450 1.53179i
\(688\) 1067.21 11130.4i 0.0591379 0.616777i
\(689\) −8233.60 9812.42i −0.455262 0.542560i
\(690\) −9377.35 7000.30i −0.517376 0.386227i
\(691\) 7898.29 + 21700.4i 0.434827 + 1.19468i 0.942816 + 0.333313i \(0.108167\pi\)
−0.507990 + 0.861363i \(0.669611\pi\)
\(692\) 22065.8 2811.65i 1.21216 0.154455i
\(693\) 7506.48 12619.7i 0.411468 0.691751i
\(694\) −12838.1 + 14577.7i −0.702201 + 0.797354i
\(695\) 1723.12 9772.29i 0.0940455 0.533359i
\(696\) −1337.84 7204.47i −0.0728603 0.392363i
\(697\) 15775.7 + 5741.87i 0.857311 + 0.312036i
\(698\) 22.8009 953.933i 0.00123643 0.0517291i
\(699\) −18669.5 + 26297.2i −1.01022 + 1.42296i
\(700\) −6593.97 + 3397.80i −0.356041 + 0.183464i
\(701\) 34399.7i 1.85343i −0.375760 0.926717i \(-0.622618\pi\)
0.375760 0.926717i \(-0.377382\pi\)
\(702\) 4437.87 8529.85i 0.238599 0.458602i
\(703\) 740.440i 0.0397243i
\(704\) 9116.68 27703.5i 0.488065 1.48312i
\(705\) 302.313 + 28.4308i 0.0161500 + 0.00151882i
\(706\) 905.200 + 21.6361i 0.0482545 + 0.00115338i
\(707\) −12825.9 4668.24i −0.682272 0.248327i
\(708\) 3407.64 23910.4i 0.180885 1.26922i
\(709\) 5106.60 28960.9i 0.270497 1.53406i −0.482415 0.875943i \(-0.660240\pi\)
0.752912 0.658121i \(-0.228649\pi\)
\(710\) 1854.44 + 1633.14i 0.0980225 + 0.0863249i
\(711\) −813.221 4990.67i −0.0428948 0.263241i
\(712\) −18347.4 1317.63i −0.965727 0.0693542i
\(713\) 13539.8 + 37200.4i 0.711179 + 1.95395i
\(714\) −5749.35 679.643i −0.301350 0.0356232i
\(715\) −4684.44 5582.70i −0.245019 0.292002i
\(716\) −19760.2 + 6140.08i −1.03139 + 0.320482i
\(717\) 16300.1 + 23604.1i 0.849007 + 1.22945i
\(718\) −3067.10 + 465.540i −0.159419 + 0.0241975i
\(719\) 290.030 + 502.346i 0.0150435 + 0.0260561i 0.873449 0.486915i \(-0.161878\pi\)
−0.858406 + 0.512971i \(0.828545\pi\)
\(720\) −601.171 9103.89i −0.0311171 0.471225i
\(721\) −7072.20 + 12249.4i −0.365302 + 0.632721i
\(722\) −6407.28 + 16375.3i −0.330269 + 0.844081i
\(723\) −6444.10 1771.68i −0.331478 0.0911334i
\(724\) 18136.5 + 16758.5i 0.930993 + 0.860253i
\(725\) 5960.98 1051.08i 0.305359 0.0538430i
\(726\) −27377.0 + 6450.58i −1.39953 + 0.329757i
\(727\) 19719.6 23500.9i 1.00600 1.19890i 0.0260450 0.999661i \(-0.491709\pi\)
0.979951 0.199239i \(-0.0638469\pi\)
\(728\) −2935.26 + 4334.11i −0.149434 + 0.220650i
\(729\) −16649.2 10498.8i −0.845865 0.533397i
\(730\) −715.619 + 3558.94i −0.0362825 + 0.180441i
\(731\) 5522.11 + 4633.60i 0.279401 + 0.234446i
\(732\) 6748.55 222.576i 0.340756 0.0112386i
\(733\) −4075.02 23110.6i −0.205340 1.16454i −0.896903 0.442227i \(-0.854189\pi\)
0.691563 0.722316i \(-0.256922\pi\)
\(734\) 7223.91 11849.0i 0.363269 0.595850i
\(735\) 1831.71 6662.44i 0.0919232 0.334351i
\(736\) 25099.3 10733.7i 1.25703 0.537566i
\(737\) 44286.3 + 25568.7i 2.21344 + 1.27793i
\(738\) −19081.3 24523.7i −0.951752 1.22321i
\(739\) −5759.52 + 3325.26i −0.286694 + 0.165523i −0.636450 0.771318i \(-0.719598\pi\)
0.349756 + 0.936841i \(0.386265\pi\)
\(740\) −58.9717 + 1232.91i −0.00292952 + 0.0612467i
\(741\) −2625.19 + 1812.86i −0.130147 + 0.0898745i
\(742\) 12529.4 6839.97i 0.619902 0.338414i
\(743\) −17088.0 + 14338.6i −0.843741 + 0.707982i −0.958402 0.285422i \(-0.907866\pi\)
0.114661 + 0.993405i \(0.463422\pi\)
\(744\) −15189.5 + 26869.0i −0.748488 + 1.32401i
\(745\) −1492.87 + 543.362i −0.0734157 + 0.0267211i
\(746\) −4881.05 14478.0i −0.239555 0.710560i
\(747\) −33518.3 + 5461.76i −1.64173 + 0.267517i
\(748\) 11384.0 + 14964.5i 0.556473 + 0.731493i
\(749\) −544.214 95.9595i −0.0265489 0.00468129i
\(750\) 17208.6 979.654i 0.837824 0.0476959i
\(751\) −10305.3 + 28313.6i −0.500727 + 1.37574i 0.389840 + 0.920883i \(0.372530\pi\)
−0.890566 + 0.454853i \(0.849692\pi\)
\(752\) −411.099 + 576.832i −0.0199352 + 0.0279719i
\(753\) 1852.23 19695.3i 0.0896403 0.953171i
\(754\) 3336.69 2666.58i 0.161161 0.128795i