Properties

Label 225.4.u.a.4.18
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.18
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.792549 - 3.72865i) q^{2} +(2.16415 + 4.72403i) q^{3} +(-5.96634 + 2.65639i) q^{4} +(9.75102 - 5.46969i) q^{5} +(15.8991 - 11.8134i) q^{6} +(-4.93704 + 2.85040i) q^{7} +(-3.29151 - 4.53038i) q^{8} +(-17.6329 + 20.4470i) q^{9} +O(q^{10})\) \(q+(-0.792549 - 3.72865i) q^{2} +(2.16415 + 4.72403i) q^{3} +(-5.96634 + 2.65639i) q^{4} +(9.75102 - 5.46969i) q^{5} +(15.8991 - 11.8134i) q^{6} +(-4.93704 + 2.85040i) q^{7} +(-3.29151 - 4.53038i) q^{8} +(-17.6329 + 20.4470i) q^{9} +(-28.1227 - 32.0232i) q^{10} +(-3.91048 + 0.831199i) q^{11} +(-25.4609 - 22.4364i) q^{12} +(18.8877 - 88.8597i) q^{13} +(14.5410 + 16.1494i) q^{14} +(46.9417 + 34.2269i) q^{15} +(-49.2441 + 54.6911i) q^{16} +(27.5620 + 37.9359i) q^{17} +(90.2147 + 49.5418i) q^{18} +(123.602 - 89.8023i) q^{19} +(-43.6483 + 58.5366i) q^{20} +(-24.1498 - 17.1540i) q^{21} +(6.19850 + 13.9221i) q^{22} +(66.4280 - 59.8120i) q^{23} +(14.2783 - 25.3536i) q^{24} +(65.1649 - 106.670i) q^{25} -346.296 q^{26} +(-134.753 - 39.0482i) q^{27} +(21.8843 - 30.1211i) q^{28} +(3.36489 - 32.0148i) q^{29} +(90.4166 - 202.156i) q^{30} +(-14.1845 - 134.956i) q^{31} +(204.156 + 117.869i) q^{32} +(-12.3895 - 16.6744i) q^{33} +(119.605 - 132.835i) q^{34} +(-32.5503 + 54.7984i) q^{35} +(50.8890 - 168.834i) q^{36} +(-102.435 + 33.2831i) q^{37} +(-432.802 - 389.697i) q^{38} +(460.652 - 103.079i) q^{39} +(-56.8754 - 26.1723i) q^{40} +(161.891 + 34.4110i) q^{41} +(-44.8214 + 103.642i) q^{42} +(196.031 - 113.179i) q^{43} +(21.1233 - 15.3470i) q^{44} +(-60.1003 + 295.826i) q^{45} +(-275.665 - 200.283i) q^{46} +(-162.330 - 17.0615i) q^{47} +(-364.934 - 114.271i) q^{48} +(-155.250 + 268.902i) q^{49} +(-449.382 - 158.436i) q^{50} +(-119.562 + 212.303i) q^{51} +(123.355 + 580.340i) q^{52} +(-131.658 + 181.211i) q^{53} +(-38.7991 + 533.393i) q^{54} +(-33.5848 + 29.4942i) q^{55} +(29.1637 + 12.9845i) q^{56} +(691.722 + 389.556i) q^{57} +(-122.039 + 12.8268i) q^{58} +(-870.110 - 184.948i) q^{59} +(-370.990 - 79.5143i) q^{60} +(-269.348 + 57.2516i) q^{61} +(-491.963 + 159.848i) q^{62} +(28.7723 - 151.208i) q^{63} +(95.7553 - 294.704i) q^{64} +(-301.861 - 969.783i) q^{65} +(-52.3538 + 59.4113i) q^{66} +(614.574 - 64.5943i) q^{67} +(-265.217 - 153.123i) q^{68} +(426.314 + 184.366i) q^{69} +(230.122 + 77.9384i) q^{70} +(244.445 + 177.600i) q^{71} +(150.672 + 12.5823i) q^{72} +(697.474 + 226.623i) q^{73} +(205.286 + 355.565i) q^{74} +(644.940 + 76.9909i) q^{75} +(-498.904 + 864.127i) q^{76} +(16.9369 - 15.2501i) q^{77} +(-749.436 - 1635.91i) q^{78} +(-0.941299 + 8.95586i) q^{79} +(-181.037 + 802.645i) q^{80} +(-107.159 - 721.081i) q^{81} -630.908i q^{82} +(133.683 - 300.257i) q^{83} +(189.654 + 38.1955i) q^{84} +(476.256 + 219.158i) q^{85} +(-577.369 - 641.233i) q^{86} +(158.521 - 53.3889i) q^{87} +(16.6370 + 14.9801i) q^{88} +(-359.902 + 1107.66i) q^{89} +(1150.66 - 10.3635i) q^{90} +(160.036 + 492.541i) q^{91} +(-237.448 + 533.317i) q^{92} +(606.840 - 359.073i) q^{93} +(65.0377 + 618.792i) q^{94} +(714.058 - 1551.73i) q^{95} +(-114.995 + 1219.52i) q^{96} +(1599.32 + 168.096i) q^{97} +(1125.68 + 365.757i) q^{98} +(51.9578 - 94.6141i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.792549 3.72865i −0.280208 1.31828i −0.862814 0.505522i \(-0.831300\pi\)
0.582605 0.812755i \(-0.302033\pi\)
\(3\) 2.16415 + 4.72403i 0.416490 + 0.909140i
\(4\) −5.96634 + 2.65639i −0.745793 + 0.332048i
\(5\) 9.75102 5.46969i 0.872158 0.489224i
\(6\) 15.8991 11.8134i 1.08179 0.803799i
\(7\) −4.93704 + 2.85040i −0.266575 + 0.153907i −0.627330 0.778753i \(-0.715852\pi\)
0.360755 + 0.932661i \(0.382519\pi\)
\(8\) −3.29151 4.53038i −0.145466 0.200216i
\(9\) −17.6329 + 20.4470i −0.653072 + 0.757296i
\(10\) −28.1227 32.0232i −0.889319 1.01266i
\(11\) −3.91048 + 0.831199i −0.107187 + 0.0227833i −0.261193 0.965287i \(-0.584116\pi\)
0.154006 + 0.988070i \(0.450783\pi\)
\(12\) −25.4609 22.4364i −0.612494 0.539735i
\(13\) 18.8877 88.8597i 0.402962 1.89579i −0.0399100 0.999203i \(-0.512707\pi\)
0.442872 0.896585i \(-0.353960\pi\)
\(14\) 14.5410 + 16.1494i 0.277589 + 0.308294i
\(15\) 46.9417 + 34.2269i 0.808019 + 0.589157i
\(16\) −49.2441 + 54.6911i −0.769439 + 0.854549i
\(17\) 27.5620 + 37.9359i 0.393222 + 0.541224i 0.959027 0.283316i \(-0.0914344\pi\)
−0.565805 + 0.824539i \(0.691434\pi\)
\(18\) 90.2147 + 49.5418i 1.18132 + 0.648729i
\(19\) 123.602 89.8023i 1.49244 1.08432i 0.519163 0.854675i \(-0.326244\pi\)
0.973275 0.229644i \(-0.0737561\pi\)
\(20\) −43.6483 + 58.5366i −0.488003 + 0.654459i
\(21\) −24.1498 17.1540i −0.250949 0.178253i
\(22\) 6.19850 + 13.9221i 0.0600693 + 0.134918i
\(23\) 66.4280 59.8120i 0.602225 0.542246i −0.310629 0.950531i \(-0.600540\pi\)
0.912855 + 0.408285i \(0.133873\pi\)
\(24\) 14.2783 25.3536i 0.121440 0.215637i
\(25\) 65.1649 106.670i 0.521319 0.853362i
\(26\) −346.296 −2.61209
\(27\) −134.753 39.0482i −0.960486 0.278327i
\(28\) 21.8843 30.1211i 0.147705 0.203299i
\(29\) 3.36489 32.0148i 0.0215464 0.205000i −0.978453 0.206472i \(-0.933802\pi\)
0.999999 + 0.00147173i \(0.000468468\pi\)
\(30\) 90.4166 202.156i 0.550258 1.23028i
\(31\) −14.1845 134.956i −0.0821808 0.781899i −0.955548 0.294836i \(-0.904735\pi\)
0.873367 0.487063i \(-0.161932\pi\)
\(32\) 204.156 + 117.869i 1.12781 + 0.651142i
\(33\) −12.3895 16.6744i −0.0653555 0.0879588i
\(34\) 119.605 132.835i 0.603299 0.670031i
\(35\) −32.5503 + 54.7984i −0.157200 + 0.264646i
\(36\) 50.8890 168.834i 0.235597 0.781637i
\(37\) −102.435 + 33.2831i −0.455140 + 0.147884i −0.527610 0.849487i \(-0.676912\pi\)
0.0724700 + 0.997371i \(0.476912\pi\)
\(38\) −432.802 389.697i −1.84763 1.66361i
\(39\) 460.652 103.079i 1.89137 0.423228i
\(40\) −56.8754 26.1723i −0.224820 0.103455i
\(41\) 161.891 + 34.4110i 0.616662 + 0.131076i 0.505643 0.862743i \(-0.331255\pi\)
0.111019 + 0.993818i \(0.464589\pi\)
\(42\) −44.8214 + 103.642i −0.164669 + 0.380768i
\(43\) 196.031 113.179i 0.695221 0.401386i −0.110344 0.993893i \(-0.535195\pi\)
0.805565 + 0.592507i \(0.201862\pi\)
\(44\) 21.1233 15.3470i 0.0723740 0.0525828i
\(45\) −60.1003 + 295.826i −0.199094 + 0.979980i
\(46\) −275.665 200.283i −0.883580 0.641958i
\(47\) −162.330 17.0615i −0.503791 0.0529506i −0.150776 0.988568i \(-0.548177\pi\)
−0.353016 + 0.935617i \(0.614844\pi\)
\(48\) −364.934 114.271i −1.09737 0.343617i
\(49\) −155.250 + 268.902i −0.452625 + 0.783970i
\(50\) −449.382 158.436i −1.27105 0.448124i
\(51\) −119.562 + 212.303i −0.328275 + 0.582908i
\(52\) 123.355 + 580.340i 0.328967 + 1.54767i
\(53\) −131.658 + 181.211i −0.341219 + 0.469647i −0.944797 0.327657i \(-0.893741\pi\)
0.603578 + 0.797304i \(0.293741\pi\)
\(54\) −38.7991 + 533.393i −0.0977758 + 1.34418i
\(55\) −33.5848 + 29.4942i −0.0823377 + 0.0723090i
\(56\) 29.1637 + 12.9845i 0.0695922 + 0.0309844i
\(57\) 691.722 + 389.556i 1.60738 + 0.905226i
\(58\) −122.039 + 12.8268i −0.276285 + 0.0290387i
\(59\) −870.110 184.948i −1.91998 0.408104i −0.999865 0.0164490i \(-0.994764\pi\)
−0.920112 0.391655i \(-0.871903\pi\)
\(60\) −370.990 79.5143i −0.798243 0.171087i
\(61\) −269.348 + 57.2516i −0.565352 + 0.120169i −0.481716 0.876327i \(-0.659986\pi\)
−0.0836353 + 0.996496i \(0.526653\pi\)
\(62\) −491.963 + 159.848i −1.00773 + 0.327432i
\(63\) 28.7723 151.208i 0.0575392 0.302388i
\(64\) 95.7553 294.704i 0.187022 0.575595i
\(65\) −301.861 969.783i −0.576019 1.85057i
\(66\) −52.3538 + 59.4113i −0.0976410 + 0.110803i
\(67\) 614.574 64.5943i 1.12063 0.117783i 0.473955 0.880549i \(-0.342826\pi\)
0.646674 + 0.762766i \(0.276159\pi\)
\(68\) −265.217 153.123i −0.472974 0.273072i
\(69\) 426.314 + 184.366i 0.743799 + 0.321667i
\(70\) 230.122 + 77.9384i 0.392926 + 0.133077i
\(71\) 244.445 + 177.600i 0.408595 + 0.296862i 0.773033 0.634366i \(-0.218739\pi\)
−0.364438 + 0.931228i \(0.618739\pi\)
\(72\) 150.672 + 12.5823i 0.246623 + 0.0205950i
\(73\) 697.474 + 226.623i 1.11826 + 0.363346i 0.809104 0.587665i \(-0.199953\pi\)
0.309158 + 0.951011i \(0.399953\pi\)
\(74\) 205.286 + 355.565i 0.322486 + 0.558563i
\(75\) 644.940 + 76.9909i 0.992950 + 0.118535i
\(76\) −498.904 + 864.127i −0.753003 + 1.30424i
\(77\) 16.9369 15.2501i 0.0250668 0.0225703i
\(78\) −749.436 1635.91i −1.08791 2.37475i
\(79\) −0.941299 + 8.95586i −0.00134056 + 0.0127546i −0.995172 0.0981490i \(-0.968708\pi\)
0.993831 + 0.110904i \(0.0353745\pi\)
\(80\) −181.037 + 802.645i −0.253006 + 1.12173i
\(81\) −107.159 721.081i −0.146995 0.989137i
\(82\) 630.908i 0.849660i
\(83\) 133.683 300.257i 0.176791 0.397079i −0.803315 0.595554i \(-0.796932\pi\)
0.980106 + 0.198476i \(0.0635991\pi\)
\(84\) 189.654 + 38.1955i 0.246345 + 0.0496127i
\(85\) 476.256 + 219.158i 0.607731 + 0.279659i
\(86\) −577.369 641.233i −0.723945 0.804022i
\(87\) 158.521 53.3889i 0.195348 0.0657919i
\(88\) 16.6370 + 14.9801i 0.0201536 + 0.0181464i
\(89\) −359.902 + 1107.66i −0.428646 + 1.31924i 0.470813 + 0.882233i \(0.343961\pi\)
−0.899459 + 0.437004i \(0.856039\pi\)
\(90\) 1150.66 10.3635i 1.34767 0.0121379i
\(91\) 160.036 + 492.541i 0.184356 + 0.567388i
\(92\) −237.448 + 533.317i −0.269083 + 0.604371i
\(93\) 606.840 359.073i 0.676628 0.400367i
\(94\) 65.0377 + 618.792i 0.0713630 + 0.678974i
\(95\) 714.058 1551.73i 0.771166 1.67583i
\(96\) −114.995 + 1219.52i −0.122257 + 1.29653i
\(97\) 1599.32 + 168.096i 1.67409 + 0.175954i 0.893492 0.449079i \(-0.148248\pi\)
0.780598 + 0.625033i \(0.214914\pi\)
\(98\) 1125.68 + 365.757i 1.16032 + 0.377011i
\(99\) 51.9578 94.6141i 0.0527470 0.0960513i
\(100\) −105.439 + 809.534i −0.105439 + 0.809534i
\(101\) −383.298 663.891i −0.377619 0.654056i 0.613096 0.790008i \(-0.289924\pi\)
−0.990715 + 0.135953i \(0.956590\pi\)
\(102\) 886.361 + 277.545i 0.860420 + 0.269422i
\(103\) −528.770 1187.64i −0.505837 1.13613i −0.968368 0.249526i \(-0.919725\pi\)
0.462531 0.886603i \(-0.346942\pi\)
\(104\) −464.737 + 206.914i −0.438185 + 0.195092i
\(105\) −329.313 35.1770i −0.306073 0.0326945i
\(106\) 780.019 + 347.287i 0.714738 + 0.318222i
\(107\) 1457.13i 1.31651i 0.752797 + 0.658253i \(0.228704\pi\)
−0.752797 + 0.658253i \(0.771296\pi\)
\(108\) 907.707 124.980i 0.808742 0.111354i
\(109\) 344.439 + 1060.07i 0.302672 + 0.931528i 0.980536 + 0.196341i \(0.0629059\pi\)
−0.677864 + 0.735188i \(0.737094\pi\)
\(110\) 136.591 + 101.850i 0.118395 + 0.0882824i
\(111\) −378.915 411.876i −0.324009 0.352194i
\(112\) 87.2284 410.377i 0.0735920 0.346223i
\(113\) −38.4422 + 180.856i −0.0320030 + 0.150562i −0.991248 0.132014i \(-0.957856\pi\)
0.959245 + 0.282576i \(0.0911890\pi\)
\(114\) 904.293 2887.93i 0.742937 2.37263i
\(115\) 320.587 946.569i 0.259956 0.767548i
\(116\) 64.9677 + 199.950i 0.0520008 + 0.160042i
\(117\) 1483.87 + 1953.05i 1.17251 + 1.54325i
\(118\) 3390.92i 2.64542i
\(119\) −244.207 108.728i −0.188121 0.0837570i
\(120\) 0.551801 325.322i 0.000419769 0.247481i
\(121\) −1201.33 + 534.866i −0.902576 + 0.401853i
\(122\) 426.943 + 958.929i 0.316833 + 0.711618i
\(123\) 187.797 + 839.249i 0.137668 + 0.615224i
\(124\) 443.125 + 767.516i 0.320918 + 0.555846i
\(125\) 51.9708 1396.58i 0.0371873 0.999308i
\(126\) −586.607 + 12.5582i −0.414755 + 0.00887914i
\(127\) −1122.62 364.761i −0.784381 0.254861i −0.110671 0.993857i \(-0.535300\pi\)
−0.673709 + 0.738996i \(0.735300\pi\)
\(128\) 700.836 + 73.6609i 0.483951 + 0.0508653i
\(129\) 958.901 + 681.123i 0.654469 + 0.464880i
\(130\) −3376.74 + 1894.13i −2.27815 + 1.27790i
\(131\) 307.385 + 2924.57i 0.205010 + 1.95054i 0.297231 + 0.954805i \(0.403937\pi\)
−0.0922209 + 0.995739i \(0.529397\pi\)
\(132\) 118.213 + 66.5740i 0.0779482 + 0.0438979i
\(133\) −354.256 + 795.673i −0.230962 + 0.518749i
\(134\) −727.930 2240.34i −0.469280 1.44430i
\(135\) −1527.56 + 356.295i −0.973860 + 0.227148i
\(136\) 81.1431 249.733i 0.0511615 0.157459i
\(137\) 1682.13 + 1514.60i 1.04901 + 0.944532i 0.998530 0.0541934i \(-0.0172588\pi\)
0.0504783 + 0.998725i \(0.483925\pi\)
\(138\) 349.561 1735.69i 0.215628 1.07067i
\(139\) 386.345 + 429.080i 0.235751 + 0.261828i 0.849398 0.527752i \(-0.176965\pi\)
−0.613648 + 0.789580i \(0.710298\pi\)
\(140\) 48.6408 413.412i 0.0293635 0.249569i
\(141\) −270.706 803.773i −0.161685 0.480070i
\(142\) 468.472 1052.21i 0.276854 0.621825i
\(143\) 363.184i 0.212384i
\(144\) −249.951 1971.26i −0.144648 1.14077i
\(145\) −142.300 330.582i −0.0814992 0.189334i
\(146\) 292.216 2780.25i 0.165644 1.57599i
\(147\) −1606.28 151.465i −0.901253 0.0849839i
\(148\) 522.749 470.685i 0.290336 0.261419i
\(149\) −246.537 + 427.014i −0.135551 + 0.234781i −0.925808 0.377995i \(-0.876614\pi\)
0.790257 + 0.612776i \(0.209947\pi\)
\(150\) −224.075 2465.77i −0.121971 1.34220i
\(151\) −612.439 1060.77i −0.330063 0.571686i 0.652461 0.757823i \(-0.273737\pi\)
−0.982524 + 0.186136i \(0.940403\pi\)
\(152\) −813.677 264.380i −0.434197 0.141079i
\(153\) −1261.67 105.360i −0.666669 0.0556723i
\(154\) −70.2857 51.0655i −0.0367778 0.0267206i
\(155\) −876.482 1238.38i −0.454198 0.641734i
\(156\) −2474.59 + 1838.68i −1.27004 + 0.943666i
\(157\) 446.522 + 257.799i 0.226983 + 0.131049i 0.609179 0.793032i \(-0.291499\pi\)
−0.382197 + 0.924081i \(0.624832\pi\)
\(158\) 34.1393 3.58819i 0.0171897 0.00180671i
\(159\) −1140.98 229.787i −0.569089 0.114612i
\(160\) 2635.43 + 32.6774i 1.30218 + 0.0161461i
\(161\) −157.469 + 484.640i −0.0770826 + 0.237236i
\(162\) −2603.73 + 971.052i −1.26277 + 0.470945i
\(163\) 2320.11 753.849i 1.11488 0.362246i 0.307067 0.951688i \(-0.400653\pi\)
0.807810 + 0.589442i \(0.200653\pi\)
\(164\) −1057.31 + 224.737i −0.503425 + 0.107006i
\(165\) −212.014 94.8259i −0.100032 0.0447405i
\(166\) −1225.51 260.489i −0.572998 0.121794i
\(167\) −682.713 + 71.7561i −0.316347 + 0.0332494i −0.261371 0.965238i \(-0.584175\pi\)
−0.0549756 + 0.998488i \(0.517508\pi\)
\(168\) 1.77529 + 165.871i 0.000815277 + 0.0761738i
\(169\) −5532.24 2463.11i −2.51809 1.12113i
\(170\) 439.707 1949.48i 0.198376 0.879521i
\(171\) −343.283 + 4110.77i −0.153518 + 1.83836i
\(172\) −868.944 + 1196.00i −0.385211 + 0.530198i
\(173\) 762.787 + 3588.63i 0.335223 + 1.57710i 0.746370 + 0.665532i \(0.231795\pi\)
−0.411146 + 0.911569i \(0.634872\pi\)
\(174\) −324.705 548.757i −0.141470 0.239087i
\(175\) −17.6687 + 712.381i −0.00763216 + 0.307719i
\(176\) 147.109 254.800i 0.0630043 0.109127i
\(177\) −1009.35 4510.68i −0.428628 1.91550i
\(178\) 4415.33 + 464.070i 1.85923 + 0.195413i
\(179\) 1158.94 + 842.016i 0.483927 + 0.351593i 0.802844 0.596189i \(-0.203319\pi\)
−0.318917 + 0.947783i \(0.603319\pi\)
\(180\) −427.249 1924.65i −0.176918 0.796971i
\(181\) −3418.21 + 2483.47i −1.40372 + 1.01986i −0.409522 + 0.912300i \(0.634305\pi\)
−0.994198 + 0.107563i \(0.965695\pi\)
\(182\) 1709.68 987.082i 0.696317 0.402019i
\(183\) −853.367 1148.51i −0.344714 0.463935i
\(184\) −489.619 104.072i −0.196170 0.0416971i
\(185\) −816.796 + 884.832i −0.324606 + 0.351644i
\(186\) −1819.81 1978.11i −0.717392 0.779797i
\(187\) −139.313 125.438i −0.0544791 0.0490532i
\(188\) 1013.84 329.415i 0.393306 0.127793i
\(189\) 776.581 191.316i 0.298878 0.0736306i
\(190\) −6351.79 1432.65i −2.42530 0.547027i
\(191\) 1650.99 1833.61i 0.625453 0.694636i −0.344262 0.938873i \(-0.611871\pi\)
0.969715 + 0.244238i \(0.0785377\pi\)
\(192\) 1599.42 185.433i 0.601189 0.0697004i
\(193\) 1695.16 + 978.699i 0.632228 + 0.365017i 0.781614 0.623762i \(-0.214396\pi\)
−0.149386 + 0.988779i \(0.547730\pi\)
\(194\) −640.773 6096.55i −0.237138 2.25622i
\(195\) 3928.01 3524.75i 1.44252 1.29442i
\(196\) 211.970 2016.76i 0.0772487 0.734973i
\(197\) −1018.48 + 1401.82i −0.368343 + 0.506981i −0.952450 0.304696i \(-0.901445\pi\)
0.584106 + 0.811677i \(0.301445\pi\)
\(198\) −393.962 118.746i −0.141402 0.0426208i
\(199\) 2178.85 0.776153 0.388076 0.921627i \(-0.373140\pi\)
0.388076 + 0.921627i \(0.373140\pi\)
\(200\) −697.747 + 55.8848i −0.246691 + 0.0197583i
\(201\) 1635.17 + 2763.47i 0.573812 + 0.969753i
\(202\) −2171.64 + 1955.35i −0.756414 + 0.681079i
\(203\) 74.6424 + 167.650i 0.0258072 + 0.0579640i
\(204\) 149.390 1584.27i 0.0512714 0.543732i
\(205\) 1766.82 549.952i 0.601952 0.187367i
\(206\) −4009.21 + 2912.86i −1.35599 + 0.985187i
\(207\) 51.6561 + 2412.91i 0.0173447 + 0.810189i
\(208\) 3929.73 + 5408.81i 1.30999 + 1.80304i
\(209\) −408.701 + 453.909i −0.135265 + 0.150227i
\(210\) 129.834 + 1255.77i 0.0426638 + 0.412650i
\(211\) 783.905 + 870.615i 0.255764 + 0.284055i 0.857329 0.514769i \(-0.172122\pi\)
−0.601564 + 0.798824i \(0.705456\pi\)
\(212\) 304.148 1430.90i 0.0985328 0.463561i
\(213\) −309.971 + 1539.12i −0.0997131 + 0.495111i
\(214\) 5433.13 1154.85i 1.73552 0.368896i
\(215\) 1292.45 2175.84i 0.409975 0.690191i
\(216\) 266.636 + 739.007i 0.0839922 + 0.232792i
\(217\) 454.708 + 625.852i 0.142247 + 0.195786i
\(218\) 3679.66 2124.45i 1.14320 0.660028i
\(219\) 438.862 + 3785.33i 0.135414 + 1.16799i
\(220\) 122.030 265.187i 0.0373968 0.0812676i
\(221\) 3891.55 1732.63i 1.18450 0.527373i
\(222\) −1235.43 + 1739.27i −0.373499 + 0.525821i
\(223\) −623.992 2935.65i −0.187379 0.881551i −0.966896 0.255170i \(-0.917869\pi\)
0.779517 0.626381i \(-0.215465\pi\)
\(224\) −1343.90 −0.400861
\(225\) 1032.04 + 3213.34i 0.305789 + 0.952099i
\(226\) 704.818 0.207450
\(227\) −115.993 545.705i −0.0339151 0.159558i 0.957931 0.286998i \(-0.0926573\pi\)
−0.991846 + 0.127440i \(0.959324\pi\)
\(228\) −5161.86 486.739i −1.49935 0.141382i
\(229\) 2087.87 929.579i 0.602490 0.268246i −0.0827415 0.996571i \(-0.526368\pi\)
0.685232 + 0.728325i \(0.259701\pi\)
\(230\) −3783.51 445.155i −1.08468 0.127620i
\(231\) 108.696 + 47.0072i 0.0309596 + 0.0133889i
\(232\) −156.115 + 90.1330i −0.0441786 + 0.0255065i
\(233\) −1887.57 2598.02i −0.530725 0.730480i 0.456516 0.889715i \(-0.349097\pi\)
−0.987241 + 0.159235i \(0.949097\pi\)
\(234\) 6106.22 7080.72i 1.70588 1.97812i
\(235\) −1676.20 + 721.526i −0.465290 + 0.200286i
\(236\) 5682.66 1207.89i 1.56742 0.333164i
\(237\) −44.3449 + 14.9351i −0.0121540 + 0.00409341i
\(238\) −211.863 + 996.735i −0.0577017 + 0.271465i
\(239\) −3558.26 3951.85i −0.963032 1.06956i −0.997536 0.0701508i \(-0.977652\pi\)
0.0345044 0.999405i \(-0.489015\pi\)
\(240\) −4183.51 + 881.818i −1.12518 + 0.237171i
\(241\) −1221.38 + 1356.48i −0.326457 + 0.362567i −0.883923 0.467633i \(-0.845107\pi\)
0.557466 + 0.830200i \(0.311774\pi\)
\(242\) 2946.44 + 4055.43i 0.782662 + 1.07724i
\(243\) 3174.50 2066.75i 0.838042 0.545605i
\(244\) 1454.94 1057.07i 0.381733 0.277345i
\(245\) −43.0408 + 3471.24i −0.0112236 + 0.905181i
\(246\) 2980.43 1365.38i 0.772460 0.353875i
\(247\) −5645.24 12679.4i −1.45424 3.26628i
\(248\) −564.714 + 508.471i −0.144594 + 0.130193i
\(249\) 1707.74 18.2777i 0.434632 0.00465180i
\(250\) −5248.53 + 913.074i −1.32779 + 0.230992i
\(251\) −299.102 −0.0752157 −0.0376078 0.999293i \(-0.511974\pi\)
−0.0376078 + 0.999293i \(0.511974\pi\)
\(252\) 230.003 + 978.592i 0.0574952 + 0.244625i
\(253\) −210.050 + 289.109i −0.0521965 + 0.0718423i
\(254\) −470.336 + 4474.95i −0.116187 + 1.10545i
\(255\) −4.62060 + 2724.14i −0.00113472 + 0.668988i
\(256\) −539.914 5136.94i −0.131815 1.25414i
\(257\) 3047.23 + 1759.32i 0.739614 + 0.427016i 0.821929 0.569590i \(-0.192898\pi\)
−0.0823149 + 0.996606i \(0.526231\pi\)
\(258\) 1779.69 4115.23i 0.429453 0.993035i
\(259\) 410.854 456.300i 0.0985685 0.109471i
\(260\) 4377.12 + 4984.20i 1.04407 + 1.18887i
\(261\) 595.274 + 633.317i 0.141175 + 0.150197i
\(262\) 10661.1 3464.00i 2.51391 0.816820i
\(263\) 1858.96 + 1673.81i 0.435848 + 0.392440i 0.857638 0.514254i \(-0.171931\pi\)
−0.421790 + 0.906694i \(0.638598\pi\)
\(264\) −34.7613 + 111.013i −0.00810382 + 0.0258802i
\(265\) −292.627 + 2487.12i −0.0678338 + 0.576539i
\(266\) 3247.55 + 690.289i 0.748572 + 0.159114i
\(267\) −6011.52 + 696.960i −1.37790 + 0.159750i
\(268\) −3495.17 + 2017.94i −0.796647 + 0.459945i
\(269\) −3755.41 + 2728.47i −0.851196 + 0.618430i −0.925475 0.378808i \(-0.876334\pi\)
0.0742798 + 0.997237i \(0.476334\pi\)
\(270\) 2539.16 + 5413.34i 0.572328 + 1.22017i
\(271\) −1584.39 1151.13i −0.355147 0.258029i 0.395878 0.918303i \(-0.370440\pi\)
−0.751025 + 0.660274i \(0.770440\pi\)
\(272\) −3432.02 360.720i −0.765062 0.0804113i
\(273\) −1980.44 + 1821.95i −0.439053 + 0.403917i
\(274\) 4314.24 7472.48i 0.951214 1.64755i
\(275\) −166.162 + 471.297i −0.0364362 + 0.103347i
\(276\) −3033.28 + 32.4648i −0.661529 + 0.00708025i
\(277\) −1672.43 7868.16i −0.362767 1.70669i −0.659482 0.751720i \(-0.729224\pi\)
0.296715 0.954966i \(-0.404109\pi\)
\(278\) 1293.69 1780.61i 0.279102 0.384151i
\(279\) 3009.56 + 2089.64i 0.645799 + 0.448400i
\(280\) 355.397 32.9042i 0.0758537 0.00702287i
\(281\) 2788.76 + 1241.63i 0.592040 + 0.263593i 0.680811 0.732459i \(-0.261627\pi\)
−0.0887713 + 0.996052i \(0.528294\pi\)
\(282\) −2782.44 + 1646.40i −0.587560 + 0.347665i
\(283\) 2308.34 242.616i 0.484864 0.0509612i 0.141057 0.990002i \(-0.454950\pi\)
0.343807 + 0.939040i \(0.388283\pi\)
\(284\) −1930.22 410.280i −0.403300 0.0857241i
\(285\) 8875.75 + 15.0548i 1.84475 + 0.00312901i
\(286\) 1354.19 287.841i 0.279981 0.0595119i
\(287\) −897.347 + 291.566i −0.184560 + 0.0599672i
\(288\) −6009.93 + 2095.99i −1.22965 + 0.428845i
\(289\) 838.735 2581.36i 0.170718 0.525414i
\(290\) −1119.85 + 792.590i −0.226757 + 0.160491i
\(291\) 2667.08 + 7919.04i 0.537276 + 1.59527i
\(292\) −4763.37 + 500.650i −0.954640 + 0.100337i
\(293\) −5020.66 2898.68i −1.00106 0.577961i −0.0924967 0.995713i \(-0.529485\pi\)
−0.908561 + 0.417752i \(0.862818\pi\)
\(294\) 708.299 + 6109.32i 0.140506 + 1.21191i
\(295\) −9496.07 + 2955.81i −1.87418 + 0.583369i
\(296\) 487.951 + 354.517i 0.0958161 + 0.0696144i
\(297\) 559.404 + 40.6912i 0.109293 + 0.00794998i
\(298\) 1787.58 + 580.820i 0.347489 + 0.112906i
\(299\) −4060.20 7032.48i −0.785310 1.36020i
\(300\) −4052.45 + 1253.86i −0.779894 + 0.241305i
\(301\) −645.209 + 1117.54i −0.123552 + 0.213999i
\(302\) −3469.87 + 3124.29i −0.661154 + 0.595306i
\(303\) 2306.73 3247.47i 0.437353 0.615717i
\(304\) −1175.29 + 11182.2i −0.221736 + 2.10968i
\(305\) −2313.27 + 2031.51i −0.434286 + 0.381390i
\(306\) 607.088 + 4787.85i 0.113415 + 0.894454i
\(307\) 3519.54i 0.654301i −0.944972 0.327151i \(-0.893912\pi\)
0.944972 0.327151i \(-0.106088\pi\)
\(308\) −60.5415 + 135.978i −0.0112002 + 0.0251561i
\(309\) 4466.10 5068.15i 0.822225 0.933064i
\(310\) −3922.82 + 4249.57i −0.718713 + 0.778579i
\(311\) −2145.07 2382.34i −0.391111 0.434373i 0.515144 0.857104i \(-0.327738\pi\)
−0.906255 + 0.422730i \(0.861072\pi\)
\(312\) −1983.23 1747.64i −0.359866 0.317117i
\(313\) 1505.18 + 1355.27i 0.271814 + 0.244742i 0.793753 0.608241i \(-0.208124\pi\)
−0.521939 + 0.852983i \(0.674791\pi\)
\(314\) 607.354 1869.24i 0.109156 0.335947i
\(315\) −546.504 1631.81i −0.0977525 0.291880i
\(316\) −18.1741 55.9342i −0.00323536 0.00995742i
\(317\) −3246.00 + 7290.63i −0.575121 + 1.29174i 0.358517 + 0.933523i \(0.383283\pi\)
−0.933638 + 0.358219i \(0.883384\pi\)
\(318\) 47.4823 + 4436.42i 0.00837320 + 0.782333i
\(319\) 13.4523 + 127.990i 0.00236108 + 0.0224642i
\(320\) −678.231 3397.42i −0.118482 0.593505i
\(321\) −6883.53 + 3153.44i −1.19689 + 0.548312i
\(322\) 1931.86 + 203.046i 0.334342 + 0.0351408i
\(323\) 6813.46 + 2213.83i 1.17372 + 0.381364i
\(324\) 2554.82 + 4017.56i 0.438069 + 0.688882i
\(325\) −8247.87 7805.29i −1.40772 1.33218i
\(326\) −4649.64 8053.42i −0.789938 1.36821i
\(327\) −4262.40 + 3921.29i −0.720830 + 0.663144i
\(328\) −376.972 846.692i −0.0634597 0.142533i
\(329\) 850.059 378.471i 0.142448 0.0634217i
\(330\) −185.541 + 865.680i −0.0309506 + 0.144406i
\(331\) 6064.69 + 2700.17i 1.00709 + 0.448384i 0.842914 0.538048i \(-0.180838\pi\)
0.164172 + 0.986432i \(0.447505\pi\)
\(332\) 2146.55i 0.354841i
\(333\) 1125.69 2681.36i 0.185247 0.441255i
\(334\) 808.637 + 2488.73i 0.132475 + 0.407716i
\(335\) 5639.41 3991.39i 0.919743 0.650964i
\(336\) 2127.41 476.047i 0.345416 0.0772932i
\(337\) −489.068 + 2300.89i −0.0790542 + 0.371921i −0.999835 0.0181595i \(-0.994219\pi\)
0.920781 + 0.390080i \(0.127553\pi\)
\(338\) −4799.51 + 22579.9i −0.772364 + 3.63369i
\(339\) −937.566 + 209.798i −0.150211 + 0.0336125i
\(340\) −3423.67 42.4510i −0.546102 0.00677126i
\(341\) 167.644 + 515.954i 0.0266229 + 0.0819369i
\(342\) 15599.7 1978.01i 2.46648 0.312744i
\(343\) 3725.48i 0.586463i
\(344\) −1157.98 515.567i −0.181495 0.0808067i
\(345\) 5165.42 534.051i 0.806077 0.0833401i
\(346\) 12776.2 5688.33i 1.98512 0.883834i
\(347\) 1704.07 + 3827.40i 0.263629 + 0.592120i 0.996056 0.0887252i \(-0.0282793\pi\)
−0.732427 + 0.680845i \(0.761613\pi\)
\(348\) −803.970 + 739.630i −0.123843 + 0.113932i
\(349\) −3658.61 6336.89i −0.561148 0.971937i −0.997397 0.0721111i \(-0.977026\pi\)
0.436248 0.899826i \(-0.356307\pi\)
\(350\) 2670.22 498.716i 0.407798 0.0761643i
\(351\) −6014.98 + 11236.5i −0.914689 + 1.70872i
\(352\) −896.320 291.232i −0.135722 0.0440986i
\(353\) 7385.60 + 776.258i 1.11359 + 0.117043i 0.643404 0.765527i \(-0.277522\pi\)
0.470182 + 0.882569i \(0.344188\pi\)
\(354\) −16018.8 + 7338.44i −2.40505 + 1.10179i
\(355\) 3355.00 + 394.739i 0.501592 + 0.0590157i
\(356\) −795.086 7564.74i −0.118369 1.12621i
\(357\) −14.8657 1388.95i −0.00220385 0.205913i
\(358\) 2221.07 4988.60i 0.327897 0.736469i
\(359\) 1363.14 + 4195.30i 0.200400 + 0.616768i 0.999871 + 0.0160631i \(0.00511327\pi\)
−0.799471 + 0.600705i \(0.794887\pi\)
\(360\) 1538.02 701.437i 0.225169 0.102692i
\(361\) 5093.52 15676.2i 0.742604 2.28550i
\(362\) 11969.1 + 10777.0i 1.73780 + 1.56472i
\(363\) −5126.57 4517.58i −0.741254 0.653200i
\(364\) −2263.21 2513.55i −0.325891 0.361939i
\(365\) 8040.64 1605.16i 1.15306 0.230187i
\(366\) −3606.04 + 4092.15i −0.515003 + 0.584427i
\(367\) −2933.70 + 6589.20i −0.417270 + 0.937203i 0.575570 + 0.817752i \(0.304780\pi\)
−0.992840 + 0.119451i \(0.961887\pi\)
\(368\) 6578.41i 0.931857i
\(369\) −3558.22 + 2703.42i −0.501987 + 0.381394i
\(370\) 3946.58 + 2344.28i 0.554521 + 0.329387i
\(371\) 133.474 1269.92i 0.0186783 0.177712i
\(372\) −2666.78 + 3754.35i −0.371683 + 0.523264i
\(373\) 8299.75 7473.13i 1.15213 1.03738i 0.153343 0.988173i \(-0.450996\pi\)
0.998788 0.0492103i \(-0.0156705\pi\)
\(374\) −357.302 + 618.866i −0.0494002 + 0.0855636i
\(375\) 6709.94 2776.88i 0.923999 0.382394i
\(376\) 457.014 + 791.572i 0.0626828 + 0.108570i
\(377\) −2781.27 903.690i −0.379954 0.123455i
\(378\) −1328.83 2743.97i −0.180814 0.373372i
\(379\) 7477.86 + 5432.98i 1.01349 + 0.736342i 0.964938 0.262479i \(-0.0845401\pi\)
0.0485496 + 0.998821i \(0.484540\pi\)
\(380\) −138.313 + 11155.0i −0.0186719 + 1.50589i
\(381\) −706.371 6092.68i −0.0949828 0.819259i
\(382\) −8145.39 4702.74i −1.09098 0.629878i
\(383\) −7308.43 + 768.147i −0.975048 + 0.102482i −0.578631 0.815589i \(-0.696413\pi\)
−0.396416 + 0.918071i \(0.629746\pi\)
\(384\) 1168.74 + 3470.19i 0.155317 + 0.461164i
\(385\) 81.7392 241.344i 0.0108203 0.0319481i
\(386\) 2305.73 7096.31i 0.304038 0.935733i
\(387\) −1142.44 + 6003.93i −0.150061 + 0.788622i
\(388\) −9988.64 + 3245.51i −1.30695 + 0.424654i
\(389\) 3572.30 759.316i 0.465612 0.0989688i 0.0308687 0.999523i \(-0.490173\pi\)
0.434743 + 0.900555i \(0.356839\pi\)
\(390\) −16255.7 11852.6i −2.11062 1.53893i
\(391\) 4099.91 + 871.463i 0.530285 + 0.112716i
\(392\) 1729.23 181.750i 0.222805 0.0234177i
\(393\) −13150.6 + 7781.31i −1.68793 + 0.998766i
\(394\) 6034.08 + 2686.54i 0.771554 + 0.343518i
\(395\) 39.8072 + 92.4774i 0.00507068 + 0.0117799i
\(396\) −58.6662 + 702.520i −0.00744466 + 0.0891489i
\(397\) −1791.76 + 2466.15i −0.226514 + 0.311769i −0.907114 0.420886i \(-0.861719\pi\)
0.680600 + 0.732655i \(0.261719\pi\)
\(398\) −1726.84 8124.16i −0.217485 1.02318i
\(399\) −4525.45 + 48.4352i −0.567809 + 0.00607718i
\(400\) 2624.93 + 8816.82i 0.328116 + 1.10210i
\(401\) 1991.17 3448.81i 0.247966 0.429490i −0.714995 0.699129i \(-0.753571\pi\)
0.962961 + 0.269639i \(0.0869045\pi\)
\(402\) 9008.07 8287.18i 1.11762 1.02818i
\(403\) −12260.1 1288.59i −1.51543 0.159278i
\(404\) 4050.43 + 2942.81i 0.498804 + 0.362402i
\(405\) −4989.01 6445.15i −0.612113 0.790770i
\(406\) 565.949 411.186i 0.0691813 0.0502631i
\(407\) 372.905 215.297i 0.0454158 0.0262208i
\(408\) 1355.35 157.136i 0.164460 0.0190671i
\(409\) 8200.42 + 1743.05i 0.991405 + 0.210730i 0.674938 0.737874i \(-0.264170\pi\)
0.316467 + 0.948604i \(0.397503\pi\)
\(410\) −3450.87 6152.00i −0.415674 0.741038i
\(411\) −3514.63 + 11224.3i −0.421810 + 1.34708i
\(412\) 6309.65 + 5681.23i 0.754500 + 0.679355i
\(413\) 4822.94 1567.07i 0.574628 0.186708i
\(414\) 8955.97 2104.96i 1.06319 0.249887i
\(415\) −338.768 3659.02i −0.0400710 0.432806i
\(416\) 14329.9 15914.9i 1.68889 1.87570i
\(417\) −1190.88 + 2753.70i −0.139850 + 0.323379i
\(418\) 2016.38 + 1164.16i 0.235944 + 0.136222i
\(419\) −1163.16 11066.8i −0.135619 1.29033i −0.824670 0.565615i \(-0.808639\pi\)
0.689051 0.724713i \(-0.258028\pi\)
\(420\) 2058.24 664.904i 0.239123 0.0772476i
\(421\) −488.808 + 4650.70i −0.0565868 + 0.538387i 0.929103 + 0.369820i \(0.120581\pi\)
−0.985690 + 0.168567i \(0.946086\pi\)
\(422\) 2624.94 3612.92i 0.302796 0.416763i
\(423\) 3211.20 3018.31i 0.369111 0.346939i
\(424\) 1254.31 0.143667
\(425\) 5842.71 467.961i 0.666854 0.0534104i
\(426\) 5984.50 64.0512i 0.680633 0.00728472i
\(427\) 1166.59 1050.40i 0.132214 0.119046i
\(428\) −3870.70 8693.74i −0.437143 0.981840i
\(429\) −1715.69 + 785.983i −0.193087 + 0.0884560i
\(430\) −9137.28 3094.65i −1.02474 0.347063i
\(431\) −5660.98 + 4112.94i −0.632668 + 0.459660i −0.857323 0.514778i \(-0.827874\pi\)
0.224656 + 0.974438i \(0.427874\pi\)
\(432\) 8771.36 5446.87i 0.976880 0.606627i
\(433\) 61.4983 + 84.6452i 0.00682545 + 0.00939443i 0.812416 0.583078i \(-0.198152\pi\)
−0.805591 + 0.592473i \(0.798152\pi\)
\(434\) 1973.21 2191.47i 0.218242 0.242382i
\(435\) 1253.72 1387.66i 0.138187 0.152950i
\(436\) −4871.00 5409.80i −0.535043 0.594225i
\(437\) 2839.39 13358.3i 0.310816 1.46227i
\(438\) 13766.4 4636.43i 1.50179 0.505793i
\(439\) −11271.0 + 2395.72i −1.22536 + 0.260459i −0.774754 0.632263i \(-0.782126\pi\)
−0.450608 + 0.892722i \(0.648793\pi\)
\(440\) 244.165 + 55.0714i 0.0264548 + 0.00596688i
\(441\) −2760.71 7915.93i −0.298101 0.854760i
\(442\) −9544.63 13137.1i −1.02713 1.41372i
\(443\) 1647.31 951.076i 0.176673 0.102002i −0.409056 0.912509i \(-0.634142\pi\)
0.585729 + 0.810507i \(0.300808\pi\)
\(444\) 3354.84 + 1450.85i 0.358589 + 0.155077i
\(445\) 2549.17 + 12769.4i 0.271556 + 1.36029i
\(446\) −10451.5 + 4653.30i −1.10962 + 0.494036i
\(447\) −2550.77 240.526i −0.269905 0.0254507i
\(448\) 367.278 + 1727.91i 0.0387327 + 0.182223i
\(449\) −2248.77 −0.236360 −0.118180 0.992992i \(-0.537706\pi\)
−0.118180 + 0.992992i \(0.537706\pi\)
\(450\) 11163.5 6394.83i 1.16945 0.669901i
\(451\) −661.675 −0.0690844
\(452\) −251.065 1181.17i −0.0261263 0.122915i
\(453\) 3685.73 5188.85i 0.382275 0.538175i
\(454\) −1942.81 + 864.995i −0.200838 + 0.0894190i
\(455\) 4254.57 + 3927.43i 0.438367 + 0.404661i
\(456\) −511.979 4415.99i −0.0525781 0.453504i
\(457\) 6994.99 4038.56i 0.716000 0.413383i −0.0972786 0.995257i \(-0.531014\pi\)
0.813279 + 0.581874i \(0.197680\pi\)
\(458\) −5120.82 7048.20i −0.522445 0.719084i
\(459\) −2232.72 6188.20i −0.227047 0.629282i
\(460\) 601.720 + 6499.16i 0.0609899 + 0.658749i
\(461\) −5033.90 + 1069.99i −0.508573 + 0.108101i −0.455050 0.890466i \(-0.650378\pi\)
−0.0535234 + 0.998567i \(0.517045\pi\)
\(462\) 89.1266 442.545i 0.00897520 0.0445650i
\(463\) −2130.79 + 10024.6i −0.213880 + 1.00622i 0.731899 + 0.681413i \(0.238634\pi\)
−0.945779 + 0.324812i \(0.894699\pi\)
\(464\) 1585.23 + 1760.57i 0.158604 + 0.176148i
\(465\) 3953.29 6820.56i 0.394257 0.680206i
\(466\) −8191.11 + 9097.15i −0.814262 + 0.904329i
\(467\) 799.769 + 1100.79i 0.0792481 + 0.109076i 0.846801 0.531910i \(-0.178526\pi\)
−0.767553 + 0.640986i \(0.778526\pi\)
\(468\) −14041.3 7710.86i −1.38688 0.761612i
\(469\) −2850.05 + 2070.68i −0.280604 + 0.203871i
\(470\) 4018.79 + 5678.12i 0.394410 + 0.557260i
\(471\) −251.514 + 2667.30i −0.0246054 + 0.260940i
\(472\) 2026.09 + 4550.68i 0.197582 + 0.443776i
\(473\) −672.503 + 605.525i −0.0653737 + 0.0588627i
\(474\) 90.8332 + 153.510i 0.00880191 + 0.0148754i
\(475\) −1524.70 19036.6i −0.147280 1.83887i
\(476\) 1745.85 0.168111
\(477\) −1383.72 5887.30i −0.132822 0.565117i
\(478\) −11915.0 + 16399.5i −1.14012 + 1.56924i
\(479\) −1090.69 + 10377.2i −0.104039 + 0.989869i 0.810601 + 0.585599i \(0.199141\pi\)
−0.914640 + 0.404269i \(0.867526\pi\)
\(480\) 5549.10 + 12520.6i 0.527668 + 1.19059i
\(481\) 1022.77 + 9730.97i 0.0969525 + 0.922441i
\(482\) 6025.85 + 3479.03i 0.569440 + 0.328766i
\(483\) −2630.24 + 304.944i −0.247785 + 0.0287276i
\(484\) 5746.72 6382.38i 0.539700 0.599397i
\(485\) 16514.5 7108.71i 1.54615 0.665546i
\(486\) −10222.1 10198.6i −0.954085 0.951889i
\(487\) −5165.03 + 1678.22i −0.480595 + 0.156155i −0.539288 0.842121i \(-0.681307\pi\)
0.0586931 + 0.998276i \(0.481307\pi\)
\(488\) 1145.93 + 1031.80i 0.106299 + 0.0957121i
\(489\) 8582.26 + 9328.83i 0.793668 + 0.862708i
\(490\) 12977.2 2590.64i 1.19642 0.238844i
\(491\) −19025.8 4044.06i −1.74872 0.371703i −0.781160 0.624331i \(-0.785372\pi\)
−0.967563 + 0.252628i \(0.918705\pi\)
\(492\) −3349.83 4508.38i −0.306956 0.413117i
\(493\) 1307.25 754.743i 0.119423 0.0689492i
\(494\) −42803.0 + 31098.2i −3.89838 + 2.83234i
\(495\) −10.8689 1206.78i −0.000986908 0.109577i
\(496\) 8079.41 + 5870.03i 0.731404 + 0.531396i
\(497\) −1713.06 180.050i −0.154610 0.0162502i
\(498\) −1421.62 6353.06i −0.127920 0.571662i
\(499\) −9504.44 + 16462.2i −0.852659 + 1.47685i 0.0261400 + 0.999658i \(0.491678\pi\)
−0.878799 + 0.477191i \(0.841655\pi\)
\(500\) 3399.77 + 8470.50i 0.304085 + 0.757625i
\(501\) −1816.47 3069.87i −0.161984 0.273756i
\(502\) 237.053 + 1115.25i 0.0210761 + 0.0991551i
\(503\) 11480.5 15801.6i 1.01768 1.40071i 0.103858 0.994592i \(-0.466881\pi\)
0.913819 0.406121i \(-0.133119\pi\)
\(504\) −779.736 + 367.355i −0.0689131 + 0.0324668i
\(505\) −7368.82 4377.09i −0.649323 0.385699i
\(506\) 1244.46 + 554.069i 0.109334 + 0.0486786i
\(507\) −336.766 31465.0i −0.0294996 2.75623i
\(508\) 7666.88 805.821i 0.669611 0.0703790i
\(509\) 6670.51 + 1417.86i 0.580874 + 0.123469i 0.488972 0.872299i \(-0.337372\pi\)
0.0919022 + 0.995768i \(0.470705\pi\)
\(510\) 10161.0 2141.78i 0.882230 0.185960i
\(511\) −4089.42 + 869.233i −0.354022 + 0.0752497i
\(512\) −13364.3 + 4342.32i −1.15356 + 0.374815i
\(513\) −20162.3 + 7274.64i −1.73526 + 0.626088i
\(514\) 4144.80 12756.4i 0.355680 1.09467i
\(515\) −11652.1 8688.46i −0.996992 0.743416i
\(516\) −7530.45 1516.60i −0.642461 0.129389i
\(517\) 648.968 68.2093i 0.0552062 0.00580240i
\(518\) −2027.01 1170.29i −0.171933 0.0992658i
\(519\) −15302.0 + 11369.8i −1.29419 + 0.961612i
\(520\) −3399.90 + 4559.60i −0.286722 + 0.384522i
\(521\) 16928.7 + 12299.4i 1.42353 + 1.03426i 0.991176 + 0.132556i \(0.0423185\pi\)
0.432358 + 0.901702i \(0.357682\pi\)
\(522\) 1889.64 2721.50i 0.158443 0.228194i
\(523\) −9030.21 2934.09i −0.754997 0.245313i −0.0938668 0.995585i \(-0.529923\pi\)
−0.661130 + 0.750271i \(0.729923\pi\)
\(524\) −9602.77 16632.5i −0.800570 1.38663i
\(525\) −3403.55 + 1458.23i −0.282939 + 0.121223i
\(526\) 4767.74 8257.97i 0.395216 0.684534i
\(527\) 4728.73 4257.77i 0.390867 0.351938i
\(528\) 1522.05 + 143.522i 0.125452 + 0.0118296i
\(529\) −436.600 + 4153.97i −0.0358839 + 0.341413i
\(530\) 9505.54 880.064i 0.779046 0.0721274i
\(531\) 19124.2 14530.0i 1.56294 1.18747i
\(532\) 5688.30i 0.463570i
\(533\) 6115.50 13735.6i 0.496983 1.11624i
\(534\) 7363.15 + 21862.5i 0.596694 + 1.77169i
\(535\) 7970.06 + 14208.5i 0.644066 + 1.14820i
\(536\) −2315.51 2571.64i −0.186595 0.207235i
\(537\) −1469.60 + 7297.09i −0.118097 + 0.586392i
\(538\) 13149.9 + 11840.2i 1.05377 + 0.948823i
\(539\) 383.594 1180.58i 0.0306541 0.0943435i
\(540\) 8167.47 6183.56i 0.650874 0.492774i
\(541\) 6322.03 + 19457.2i 0.502412 + 1.54627i 0.805078 + 0.593169i \(0.202124\pi\)
−0.302665 + 0.953097i \(0.597876\pi\)
\(542\) −3036.44 + 6819.96i −0.240639 + 0.540484i
\(543\) −19129.5 10773.1i −1.51183 0.851416i
\(544\) 1155.47 + 10993.5i 0.0910666 + 0.866441i
\(545\) 9156.90 + 8452.82i 0.719704 + 0.664365i
\(546\) 8363.00 + 5940.37i 0.655501 + 0.465613i
\(547\) 177.296 + 18.6346i 0.0138586 + 0.00145659i 0.111455 0.993769i \(-0.464449\pi\)
−0.0975966 + 0.995226i \(0.531116\pi\)
\(548\) −14059.5 4568.22i −1.09597 0.356103i
\(549\) 3578.77 6516.87i 0.278211 0.506618i
\(550\) 1888.99 + 246.034i 0.146449 + 0.0190744i
\(551\) −2459.10 4259.28i −0.190129 0.329313i
\(552\) −567.970 2538.20i −0.0437942 0.195712i
\(553\) −20.8805 46.8985i −0.00160566 0.00360638i
\(554\) −28012.1 + 12471.8i −2.14824 + 0.956456i
\(555\) −5947.64 1943.66i −0.454889 0.148656i
\(556\) −3444.87 1533.75i −0.262761 0.116989i
\(557\) 2218.18i 0.168738i 0.996435 + 0.0843691i \(0.0268875\pi\)
−0.996435 + 0.0843691i \(0.973113\pi\)
\(558\) 5406.33 12877.8i 0.410158 0.976987i
\(559\) −6354.45 19557.0i −0.480795 1.47974i
\(560\) −1394.07 4478.71i −0.105197 0.337964i
\(561\) 291.079 929.586i 0.0219062 0.0699593i
\(562\) 2419.39 11382.4i 0.181594 0.854334i
\(563\) −942.433 + 4433.80i −0.0705485 + 0.331905i −0.999241 0.0389452i \(-0.987600\pi\)
0.928693 + 0.370850i \(0.120934\pi\)
\(564\) 3750.26 + 4076.49i 0.279990 + 0.304346i
\(565\) 614.378 + 1973.80i 0.0457470 + 0.146971i
\(566\) −2734.10 8414.70i −0.203044 0.624905i
\(567\) 2584.42 + 3254.56i 0.191420 + 0.241056i
\(568\) 1692.00i 0.124991i
\(569\) 18400.3 + 8192.36i 1.35568 + 0.603588i 0.950522 0.310658i \(-0.100549\pi\)
0.405159 + 0.914246i \(0.367216\pi\)
\(570\) −6978.34 33106.5i −0.512790 2.43277i
\(571\) −1531.67 + 681.942i −0.112256 + 0.0499797i −0.462096 0.886830i \(-0.652903\pi\)
0.349840 + 0.936809i \(0.386236\pi\)
\(572\) −964.757 2166.88i −0.0705219 0.158395i
\(573\) 12235.0 + 3831.13i 0.892017 + 0.279315i
\(574\) 1798.34 + 3114.81i 0.130769 + 0.226498i
\(575\) −2051.39 10983.5i −0.148781 0.796600i
\(576\) 4337.37 + 7154.41i 0.313757 + 0.517536i
\(577\) −15496.7 5035.19i −1.11809 0.363289i −0.309051 0.951045i \(-0.600011\pi\)
−0.809038 + 0.587756i \(0.800011\pi\)
\(578\) −10289.7 1081.49i −0.740478 0.0778274i
\(579\) −954.836 + 10126.0i −0.0685348 + 0.726810i
\(580\) 1727.17 + 1594.36i 0.123649 + 0.114142i
\(581\) 195.855 + 1863.43i 0.0139852 + 0.133061i
\(582\) 27413.5 16220.9i 1.95245 1.15529i
\(583\) 364.223 818.058i 0.0258741 0.0581141i
\(584\) −1269.06 3905.75i −0.0899211 0.276749i
\(585\) 25151.8 + 10928.0i 1.77761 + 0.772335i
\(586\) −6829.04 + 21017.6i −0.481408 + 1.48162i
\(587\) −12876.0 11593.6i −0.905365 0.815195i 0.0779774 0.996955i \(-0.475154\pi\)
−0.983343 + 0.181760i \(0.941820\pi\)
\(588\) 9985.99 3363.22i 0.700366 0.235879i
\(589\) −13872.6 15407.1i −0.970477 1.07782i
\(590\) 18547.3 + 33064.9i 1.29420 + 2.30722i
\(591\) −8826.36 1777.59i −0.614328 0.123723i
\(592\) 3224.02 7241.28i 0.223829 0.502727i
\(593\) 4425.11i 0.306438i −0.988192 0.153219i \(-0.951036\pi\)
0.988192 0.153219i \(-0.0489640\pi\)
\(594\) −291.632 2118.07i −0.0201445 0.146306i
\(595\) −2975.98 + 275.529i −0.205047 + 0.0189842i
\(596\) 336.608 3202.61i 0.0231342 0.220108i
\(597\) 4715.35 + 10292.9i 0.323260 + 0.705632i
\(598\) −23003.7 + 20712.7i −1.57307 + 1.41639i
\(599\) 13631.9 23611.1i 0.929855 1.61056i 0.146293 0.989241i \(-0.453266\pi\)
0.783562 0.621314i \(-0.213401\pi\)
\(600\) −1774.03 3175.24i −0.120707 0.216048i
\(601\) 3136.75 + 5433.02i 0.212897 + 0.368748i 0.952620 0.304163i \(-0.0983769\pi\)
−0.739723 + 0.672911i \(0.765044\pi\)
\(602\) 4678.26 + 1520.06i 0.316730 + 0.102912i
\(603\) −9515.98 + 13705.2i −0.642654 + 0.925569i
\(604\) 6471.85 + 4702.07i 0.435986 + 0.316763i
\(605\) −8788.63 + 11786.4i −0.590592 + 0.792041i
\(606\) −13936.9 6027.21i −0.934235 0.404024i
\(607\) −9035.78 5216.81i −0.604203 0.348837i 0.166491 0.986043i \(-0.446756\pi\)
−0.770693 + 0.637207i \(0.780090\pi\)
\(608\) 35819.0 3764.73i 2.38923 0.251119i
\(609\) −630.445 + 715.432i −0.0419490 + 0.0476039i
\(610\) 9408.18 + 7015.29i 0.624469 + 0.465641i
\(611\) −4582.11 + 14102.3i −0.303392 + 0.933745i
\(612\) 7807.46 2722.88i 0.515683 0.179846i
\(613\) 3055.26 992.714i 0.201306 0.0654084i −0.206628 0.978419i \(-0.566249\pi\)
0.407935 + 0.913011i \(0.366249\pi\)
\(614\) −13123.1 + 2789.41i −0.862551 + 0.183341i
\(615\) 6421.65 + 7156.34i 0.421050 + 0.469222i
\(616\) −124.837 26.5349i −0.00816529 0.00173559i
\(617\) −26661.1 + 2802.19i −1.73960 + 0.182839i −0.920482 0.390784i \(-0.872204\pi\)
−0.819119 + 0.573624i \(0.805537\pi\)
\(618\) −22437.0 12635.8i −1.46043 0.822467i
\(619\) −2158.70 961.114i −0.140170 0.0624078i 0.335453 0.942057i \(-0.391111\pi\)
−0.475623 + 0.879649i \(0.657777\pi\)
\(620\) 8519.00 + 5060.30i 0.551825 + 0.327785i
\(621\) −11286.9 + 5465.92i −0.729351 + 0.353204i
\(622\) −7182.84 + 9886.33i −0.463031 + 0.637308i
\(623\) −1380.44 6494.44i −0.0887736 0.417647i
\(624\) −17046.9 + 30269.6i −1.09362 + 1.94191i
\(625\) −7132.07 13902.3i −0.456453 0.889748i
\(626\) 3860.40 6686.40i 0.246474 0.426905i
\(627\) −3028.77 948.392i −0.192914 0.0604069i
\(628\) −3348.92 351.985i −0.212797 0.0223658i
\(629\) −4085.94 2968.61i −0.259009 0.188181i
\(630\) −5651.33 + 3331.02i −0.357388 + 0.210652i
\(631\) 20244.1 14708.2i 1.27718 0.927929i 0.277720 0.960662i \(-0.410421\pi\)
0.999464 + 0.0327334i \(0.0104212\pi\)
\(632\) 43.6717 25.2139i 0.00274868 0.00158695i
\(633\) −2416.33 + 5587.33i −0.151723 + 0.350832i
\(634\) 29756.8 + 6325.01i 1.86403 + 0.396211i
\(635\) −12941.8 + 2583.59i −0.808788 + 0.161459i
\(636\) 7417.85 1659.88i 0.462479 0.103488i
\(637\) 20962.2 + 18874.4i 1.30385 + 1.17399i
\(638\) 466.570 151.598i 0.0289525 0.00940723i
\(639\) −7941.66 + 1866.56i −0.491654 + 0.115556i
\(640\) 7236.77 3115.09i 0.446967 0.192398i
\(641\) 8051.18 8941.74i 0.496104 0.550979i −0.442144 0.896944i \(-0.645782\pi\)
0.938247 + 0.345965i \(0.112449\pi\)
\(642\) 17213.6 + 23167.0i 1.05821 + 1.42419i
\(643\) −5261.30 3037.61i −0.322683 0.186301i 0.329905 0.944014i \(-0.392983\pi\)
−0.652588 + 0.757713i \(0.726317\pi\)
\(644\) −347.877 3309.83i −0.0212861 0.202524i
\(645\) 13075.8 + 1396.75i 0.798231 + 0.0852666i
\(646\) 2854.59 27159.6i 0.173858 1.65415i
\(647\) 774.450 1065.94i 0.0470584 0.0647703i −0.784839 0.619699i \(-0.787255\pi\)
0.831898 + 0.554929i \(0.187255\pi\)
\(648\) −2914.05 + 2858.92i −0.176659 + 0.173316i
\(649\) 3556.28 0.215094
\(650\) −22566.4 + 36939.5i −1.36173 + 2.22906i
\(651\) −1972.49 + 3502.49i −0.118753 + 0.210866i
\(652\) −11840.0 + 10660.8i −0.711184 + 0.640353i
\(653\) −8428.81 18931.4i −0.505122 1.13452i −0.968647 0.248439i \(-0.920082\pi\)
0.463525 0.886084i \(-0.346584\pi\)
\(654\) 17999.3 + 12785.2i 1.07619 + 0.764435i
\(655\) 18993.8 + 26836.3i 1.13306 + 1.60089i
\(656\) −9854.16 + 7159.47i −0.586494 + 0.426113i
\(657\) −16932.3 + 10265.2i −1.00547 + 0.609565i
\(658\) −2084.90 2869.62i −0.123522 0.170014i
\(659\) 5733.05 6367.19i 0.338889 0.376374i −0.549478 0.835508i \(-0.685173\pi\)
0.888367 + 0.459134i \(0.151840\pi\)
\(660\) 1516.84 + 2.57282i 0.0894591 + 0.000151738i
\(661\) 19938.0 + 22143.4i 1.17322 + 1.30299i 0.944125 + 0.329587i \(0.106909\pi\)
0.229093 + 0.973404i \(0.426424\pi\)
\(662\) 5261.44 24753.1i 0.308900 1.45326i
\(663\) 16606.9 + 14634.2i 0.972788 + 0.857230i
\(664\) −1800.30 + 382.665i −0.105219 + 0.0223649i
\(665\) 897.725 + 9696.30i 0.0523493 + 0.565423i
\(666\) −10890.0 2072.18i −0.633604 0.120564i
\(667\) −1691.35 2327.94i −0.0981848 0.135140i
\(668\) 3882.69 2241.67i 0.224889 0.129840i
\(669\) 12517.7 9300.94i 0.723411 0.537511i
\(670\) −19352.0 17864.0i −1.11587 1.03007i
\(671\) 1005.69 447.763i 0.0578604 0.0257611i
\(672\) −2908.39 6348.61i −0.166955 0.364439i
\(673\) 518.315 + 2438.48i 0.0296874 + 0.139668i 0.990495 0.137547i \(-0.0439219\pi\)
−0.960808 + 0.277215i \(0.910589\pi\)
\(674\) 8966.81 0.512446
\(675\) −12946.4 + 11829.5i −0.738234 + 0.674545i
\(676\) 39550.2 2.25024
\(677\) 4742.49 + 22311.7i 0.269230 + 1.26663i 0.880059 + 0.474865i \(0.157503\pi\)
−0.610829 + 0.791763i \(0.709164\pi\)
\(678\) 1525.33 + 3329.58i 0.0864010 + 0.188601i
\(679\) −8375.06 + 3728.82i −0.473351 + 0.210749i
\(680\) −574.734 2878.98i −0.0324118 0.162358i
\(681\) 2326.90 1728.94i 0.130935 0.0972880i
\(682\) 1790.95 1034.00i 0.100556 0.0580558i
\(683\) 16169.6 + 22255.6i 0.905877 + 1.24683i 0.968555 + 0.248798i \(0.0800357\pi\)
−0.0626787 + 0.998034i \(0.519964\pi\)
\(684\) −8871.66 25438.2i −0.495930 1.42201i
\(685\) 24686.9 + 5568.13i 1.37699 + 0.310580i
\(686\) −13891.0 + 2952.62i −0.773121 + 0.164332i
\(687\) 8909.82 + 7851.41i 0.494805 + 0.436026i
\(688\) −3463.52 + 16294.6i −0.191926 + 0.902942i
\(689\) 13615.7 + 15121.7i 0.752853 + 0.836128i
\(690\) −6085.14 18836.8i −0.335735 1.03928i
\(691\) −9485.46 + 10534.7i −0.522206 + 0.579968i −0.945335 0.326101i \(-0.894265\pi\)
0.423129 + 0.906069i \(0.360932\pi\)
\(692\) −14083.8 19384.7i −0.773681 1.06488i
\(693\) 13.1706 + 615.214i 0.000721948 + 0.0337230i
\(694\) 12920.5 9387.28i 0.706707 0.513453i
\(695\) 6114.19 + 2070.78i 0.333704 + 0.113020i
\(696\) −763.646 542.430i −0.0415890 0.0295413i
\(697\) 3156.63 + 7089.92i 0.171544 + 0.385294i
\(698\) −20728.4 + 18664.0i −1.12404 + 1.01209i
\(699\) 8188.14 14539.4i 0.443067 0.786741i
\(700\) −1786.94 4297.24i −0.0964857 0.232029i
\(701\) 3036.70 0.163616 0.0818079 0.996648i \(-0.473931\pi\)
0.0818079 + 0.996648i \(0.473931\pi\)
\(702\) 46664.3 + 13522.2i 2.50887 + 0.727015i
\(703\) −9672.28 + 13312.8i −0.518915 + 0.714225i
\(704\) −129.491 + 1232.03i −0.00693238 + 0.0659571i
\(705\) −7036.05 6356.93i −0.375877 0.339597i
\(706\) −2959.06 28153.5i −0.157742 1.50081i
\(707\) 3784.71 + 2185.10i 0.201328 + 0.116237i
\(708\) 18004.2 + 24231.0i 0.955706 + 1.28624i
\(709\) −5891.06 + 6542.69i −0.312050 + 0.346567i −0.878685 0.477402i \(-0.841578\pi\)
0.566635 + 0.823969i \(0.308245\pi\)
\(710\) −1187.16 12822.5i −0.0627512 0.677774i
\(711\) −166.523 177.165i −0.00878352 0.00934487i
\(712\) 6202.75 2015.40i 0.326486 0.106082i
\(713\) −9014.25 8116.46i −0.473473 0.426317i
\(714\) −5167.11 + 1156.24i −0.270832 + 0.0606037i
\(715\) 1986.50 + 3541.41i 0.103904 + 0.185233i
\(716\) −9151.32 1945.17i −0.477655 0.101529i
\(717\) 10968.1 25361.7i 0.571282 1.32099i
\(718\) 14562.5 8407.65i 0.756917 0.437006i
\(719\) −16474.6 + 11969.5i −0.854520 + 0.620845i −0.926389 0.376569i \(-0.877104\pi\)
0.0718682 + 0.997414i \(0.477104\pi\)
\(720\) −13219.5 17854.6i −0.684250 0.924171i
\(721\) 5995.80 + 4356.20i 0.309702 + 0.225012i
\(722\) −62488.1 6567.77i −3.22101 0.338542i
\(723\) −9051.31 2834.22i −0.465591 0.145789i
\(724\) 13797.1 23897.3i 0.708241 1.22671i
\(725\) −3195.76 2445.18i −0.163707 0.125257i
\(726\) −12781.4 + 22695.6i −0.653393 + 1.16021i
\(727\) −5435.99 25574.3i −0.277317 1.30468i −0.867512 0.497415i \(-0.834282\pi\)
0.590195 0.807261i \(-0.299051\pi\)
\(728\) 1704.64 2346.23i 0.0867829 0.119446i
\(729\) 16633.5 + 10523.7i 0.845068 + 0.534659i
\(730\) −12357.7 28708.6i −0.626547 1.45555i
\(731\) 9696.56 + 4317.19i 0.490616 + 0.218436i
\(732\) 8142.35 + 4585.51i 0.411134 + 0.231537i
\(733\) 15130.8 1590.31i 0.762440 0.0801356i 0.284676 0.958624i \(-0.408114\pi\)
0.477764 + 0.878488i \(0.341447\pi\)
\(734\) 26893.9 + 5716.48i 1.35242 + 0.287465i
\(735\) −16491.4 + 7308.95i −0.827611 + 0.366795i
\(736\) 20611.6 4381.14i 1.03228 0.219417i
\(737\) −2349.59 + 763.428i −0.117433 + 0.0381564i
\(738\) 12900.2 + 11124.8i 0.643444 + 0.554889i
\(739\) 9507.61 29261.4i 0.473266 1.45656i −0.375017 0.927018i \(-0.622363\pi\)
0.848283 0.529544i \(-0.177637\pi\)
\(740\) 2522.83 7448.94i 0.125326 0.370038i
\(741\) 47680.8 54108.4i 2.36383 2.68249i
\(742\) −4840.89 + 508.798i −0.239508 + 0.0251733i
\(743\) 30289.4 + 17487.6i 1.49557 + 0.863469i 0.999987 0.00509081i \(-0.00162046\pi\)
0.495585 + 0.868560i \(0.334954\pi\)
\(744\) −3624.16 1567.32i −0.178586 0.0772323i
\(745\) −68.3485 + 5512.31i −0.00336120 + 0.271081i
\(746\) −34442.7 25024.1i −1.69040 1.22814i
\(747\) 3782.13 + 8027.84i 0.185249 + 0.393204i
\(748\) 1164.40 + 378.337i 0.0569181 + 0.0184938i
\(749\) −4153.40 7193.90i −0.202619 0.350947i
\(750\) −15672.0 22818.2i −0.763014 1.11094i
\(751\) −6058.10 + 10492.9i −0.294358 + 0.509844i −0.974835 0.222926i \(-0.928439\pi\)
0.680477 + 0.732769i \(0.261773\pi\)
\(752\) 8926.89 8037.80i 0.432886 0.389772i
\(753\) −647.300 1412.97i −0.0313266 0.0683816i
\(754\) −1165.25 + 11086.6i −0.0562810 + 0.535478i
\(755\) −11774.0 6993.79i −0.567550 0.337126i
\(756\) −4125.14 + 3204.36i −0.198452 + 0.154155i
\(757\) 23536.8i 1.13007i 0.825068 + 0.565033i \(0.191137\pi\)
−0.825068 + 0.565033i \(0.808863\pi\)
\(758\) 14331.1 32188.2i 0.686715 1.54239i
\(759\) −1820.34 366.608i −0.0870541 0.0175323i
\(760\) −9380.26 + 1872.59i −0.447708 + 0.0893764i
\(761\) −14449.5 16047.8i −0.688296 0.764430i 0.293171 0.956060i \(-0.405289\pi\)
−0.981467 + 0.191630i \(0.938623\pi\)
\(762\) −22157.7 + 7462.56i −1.05340 + 0.354777i
\(763\) −4722.14 4251.83i −0.224054 0.201739i
\(764\) −4979.60 + 15325.6i −0.235806 + 0.725735i
\(765\) −12878.9 + 5873.60i −0.608677 + 0.277596i
\(766\) 8656.44 + 26641.8i 0.408316 + 1.25667i
\(767\) −32868.8 + 73824.4i −1.54736 + 3.47542i
\(768\) 23098.6 13667.7i 1.08529 0.642174i
\(769\) −3363.22 31998.9i −0.157712 1.50053i −0.731676 0.681652i \(-0.761262\pi\)
0.573964 0.818881i \(-0.305405\pi\)
\(770\) −964.670 113.500i −0.0451484 0.00531202i
\(771\) −1716.42 + 18202.6i −0.0801756