Properties

Label 731.2.n.a.208.6
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.6
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.59

$q$-expansion

\(f(q)\) \(=\) \(q-2.49716i q^{2} +(0.186349 + 0.0499322i) q^{3} -4.23579 q^{4} +(0.0534817 + 0.0143304i) q^{5} +(0.124688 - 0.465344i) q^{6} +(4.60333 - 1.23346i) q^{7} +5.58312i q^{8} +(-2.56584 - 1.48139i) q^{9} +O(q^{10})\) \(q-2.49716i q^{2} +(0.186349 + 0.0499322i) q^{3} -4.23579 q^{4} +(0.0534817 + 0.0143304i) q^{5} +(0.124688 - 0.465344i) q^{6} +(4.60333 - 1.23346i) q^{7} +5.58312i q^{8} +(-2.56584 - 1.48139i) q^{9} +(0.0357852 - 0.133552i) q^{10} +(0.593469 + 0.593469i) q^{11} +(-0.789337 - 0.211502i) q^{12} +(0.665594 - 1.15284i) q^{13} +(-3.08014 - 11.4952i) q^{14} +(0.00925073 + 0.00534091i) q^{15} +5.47035 q^{16} +(1.20948 - 3.94172i) q^{17} +(-3.69926 + 6.40731i) q^{18} +(-2.62489 + 1.51548i) q^{19} +(-0.226537 - 0.0607005i) q^{20} +0.919416 q^{21} +(1.48198 - 1.48198i) q^{22} +(1.48450 - 5.54022i) q^{23} +(-0.278778 + 1.04041i) q^{24} +(-4.32747 - 2.49847i) q^{25} +(-2.87883 - 1.66209i) q^{26} +(-0.813426 - 0.813426i) q^{27} +(-19.4987 + 5.22467i) q^{28} +(-1.51395 - 5.65012i) q^{29} +(0.0133371 - 0.0231005i) q^{30} +(0.300035 + 0.0803943i) q^{31} -2.49408i q^{32} +(0.0809594 + 0.140226i) q^{33} +(-9.84310 - 3.02025i) q^{34} +0.263869 q^{35} +(10.8684 + 6.27486i) q^{36} +(8.01553 + 2.14776i) q^{37} +(3.78439 + 6.55476i) q^{38} +(0.181597 - 0.181597i) q^{39} +(-0.0800082 + 0.298595i) q^{40} +(5.77234 + 5.77234i) q^{41} -2.29593i q^{42} +(-4.78898 + 4.47947i) q^{43} +(-2.51381 - 2.51381i) q^{44} +(-0.115997 - 0.115997i) q^{45} +(-13.8348 - 3.70702i) q^{46} -12.9440 q^{47} +(1.01940 + 0.273147i) q^{48} +(13.6070 - 7.85601i) q^{49} +(-6.23906 + 10.8064i) q^{50} +(0.422204 - 0.674146i) q^{51} +(-2.81932 + 4.88321i) q^{52} +(-5.46974 + 3.15795i) q^{53} +(-2.03125 + 2.03125i) q^{54} +(0.0232351 + 0.0402443i) q^{55} +(6.88655 + 25.7009i) q^{56} +(-0.564818 + 0.151342i) q^{57} +(-14.1092 + 3.78056i) q^{58} +8.93617i q^{59} +(-0.0391842 - 0.0226230i) q^{60} +(2.90073 - 0.777247i) q^{61} +(0.200757 - 0.749236i) q^{62} +(-13.6386 - 3.65446i) q^{63} +4.71259 q^{64} +(0.0521178 - 0.0521178i) q^{65} +(0.350166 - 0.202168i) q^{66} +(5.40430 + 9.36053i) q^{67} +(-5.12309 + 16.6963i) q^{68} +(0.553271 - 0.958293i) q^{69} -0.658923i q^{70} +(-2.29490 - 8.56470i) q^{71} +(8.27079 - 14.3254i) q^{72} +(-2.33972 - 8.73195i) q^{73} +(5.36328 - 20.0160i) q^{74} +(-0.681668 - 0.681668i) q^{75} +(11.1185 - 6.41926i) q^{76} +(3.46395 + 1.99991i) q^{77} +(-0.453476 - 0.453476i) q^{78} +(7.23755 - 1.93930i) q^{79} +(0.292564 + 0.0783922i) q^{80} +(4.33321 + 7.50533i) q^{81} +(14.4144 - 14.4144i) q^{82} +(13.9095 - 8.03066i) q^{83} -3.89446 q^{84} +(0.121171 - 0.193478i) q^{85} +(11.1859 + 11.9588i) q^{86} -1.12849i q^{87} +(-3.31341 + 3.31341i) q^{88} +(-4.70879 - 8.15587i) q^{89} +(-0.289662 + 0.289662i) q^{90} +(1.64196 - 6.12790i) q^{91} +(-6.28803 + 23.4672i) q^{92} +(0.0518972 + 0.0299628i) q^{93} +32.3231i q^{94} +(-0.162101 + 0.0434348i) q^{95} +(0.124535 - 0.464771i) q^{96} +(-2.14076 + 2.14076i) q^{97} +(-19.6177 - 33.9788i) q^{98} +(-0.643589 - 2.40191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.49716i 1.76576i −0.469602 0.882878i \(-0.655603\pi\)
0.469602 0.882878i \(-0.344397\pi\)
\(3\) 0.186349 + 0.0499322i 0.107589 + 0.0288284i 0.312212 0.950013i \(-0.398930\pi\)
−0.204623 + 0.978841i \(0.565597\pi\)
\(4\) −4.23579 −2.11790
\(5\) 0.0534817 + 0.0143304i 0.0239177 + 0.00640874i 0.270758 0.962647i \(-0.412726\pi\)
−0.246840 + 0.969056i \(0.579392\pi\)
\(6\) 0.124688 0.465344i 0.0509039 0.189976i
\(7\) 4.60333 1.23346i 1.73989 0.466203i 0.757470 0.652870i \(-0.226435\pi\)
0.982423 + 0.186667i \(0.0597684\pi\)
\(8\) 5.58312i 1.97393i
\(9\) −2.56584 1.48139i −0.855281 0.493797i
\(10\) 0.0357852 0.133552i 0.0113163 0.0422329i
\(11\) 0.593469 + 0.593469i 0.178938 + 0.178938i 0.790893 0.611955i \(-0.209617\pi\)
−0.611955 + 0.790893i \(0.709617\pi\)
\(12\) −0.789337 0.211502i −0.227862 0.0610555i
\(13\) 0.665594 1.15284i 0.184603 0.319741i −0.758840 0.651277i \(-0.774234\pi\)
0.943443 + 0.331536i \(0.107567\pi\)
\(14\) −3.08014 11.4952i −0.823201 3.07223i
\(15\) 0.00925073 + 0.00534091i 0.00238853 + 0.00137902i
\(16\) 5.47035 1.36759
\(17\) 1.20948 3.94172i 0.293341 0.956008i
\(18\) −3.69926 + 6.40731i −0.871925 + 1.51022i
\(19\) −2.62489 + 1.51548i −0.602191 + 0.347675i −0.769903 0.638161i \(-0.779695\pi\)
0.167712 + 0.985836i \(0.446362\pi\)
\(20\) −0.226537 0.0607005i −0.0506553 0.0135730i
\(21\) 0.919416 0.200633
\(22\) 1.48198 1.48198i 0.315960 0.315960i
\(23\) 1.48450 5.54022i 0.309539 1.15522i −0.619428 0.785054i \(-0.712635\pi\)
0.928967 0.370162i \(-0.120698\pi\)
\(24\) −0.278778 + 1.04041i −0.0569052 + 0.212373i
\(25\) −4.32747 2.49847i −0.865494 0.499693i
\(26\) −2.87883 1.66209i −0.564585 0.325963i
\(27\) −0.813426 0.813426i −0.156544 0.156544i
\(28\) −19.4987 + 5.22467i −3.68491 + 0.987370i
\(29\) −1.51395 5.65012i −0.281133 1.04920i −0.951619 0.307280i \(-0.900581\pi\)
0.670486 0.741922i \(-0.266085\pi\)
\(30\) 0.0133371 0.0231005i 0.00243501 0.00421756i
\(31\) 0.300035 + 0.0803943i 0.0538880 + 0.0144392i 0.285662 0.958330i \(-0.407786\pi\)
−0.231774 + 0.972770i \(0.574453\pi\)
\(32\) 2.49408i 0.440896i
\(33\) 0.0809594 + 0.140226i 0.0140932 + 0.0244102i
\(34\) −9.84310 3.02025i −1.68808 0.517969i
\(35\) 0.263869 0.0446021
\(36\) 10.8684 + 6.27486i 1.81140 + 1.04581i
\(37\) 8.01553 + 2.14776i 1.31775 + 0.353089i 0.848133 0.529784i \(-0.177727\pi\)
0.469613 + 0.882872i \(0.344394\pi\)
\(38\) 3.78439 + 6.55476i 0.613909 + 1.06332i
\(39\) 0.181597 0.181597i 0.0290788 0.0290788i
\(40\) −0.0800082 + 0.298595i −0.0126504 + 0.0472120i
\(41\) 5.77234 + 5.77234i 0.901488 + 0.901488i 0.995565 0.0940767i \(-0.0299899\pi\)
−0.0940767 + 0.995565i \(0.529990\pi\)
\(42\) 2.29593i 0.354269i
\(43\) −4.78898 + 4.47947i −0.730313 + 0.683113i
\(44\) −2.51381 2.51381i −0.378971 0.378971i
\(45\) −0.115997 0.115997i −0.0172918 0.0172918i
\(46\) −13.8348 3.70702i −2.03983 0.546571i
\(47\) −12.9440 −1.88807 −0.944035 0.329846i \(-0.893003\pi\)
−0.944035 + 0.329846i \(0.893003\pi\)
\(48\) 1.01940 + 0.273147i 0.147137 + 0.0394253i
\(49\) 13.6070 7.85601i 1.94386 1.12229i
\(50\) −6.23906 + 10.8064i −0.882337 + 1.52825i
\(51\) 0.422204 0.674146i 0.0591204 0.0943993i
\(52\) −2.81932 + 4.88321i −0.390969 + 0.677179i
\(53\) −5.46974 + 3.15795i −0.751326 + 0.433778i −0.826173 0.563417i \(-0.809487\pi\)
0.0748468 + 0.997195i \(0.476153\pi\)
\(54\) −2.03125 + 2.03125i −0.276418 + 0.276418i
\(55\) 0.0232351 + 0.0402443i 0.00313302 + 0.00542654i
\(56\) 6.88655 + 25.7009i 0.920254 + 3.43443i
\(57\) −0.564818 + 0.151342i −0.0748119 + 0.0200458i
\(58\) −14.1092 + 3.78056i −1.85263 + 0.496412i
\(59\) 8.93617i 1.16339i 0.813407 + 0.581695i \(0.197610\pi\)
−0.813407 + 0.581695i \(0.802390\pi\)
\(60\) −0.0391842 0.0226230i −0.00505866 0.00292062i
\(61\) 2.90073 0.777247i 0.371400 0.0995163i −0.0682910 0.997665i \(-0.521755\pi\)
0.439691 + 0.898149i \(0.355088\pi\)
\(62\) 0.200757 0.749236i 0.0254962 0.0951530i
\(63\) −13.6386 3.65446i −1.71831 0.460419i
\(64\) 4.71259 0.589074
\(65\) 0.0521178 0.0521178i 0.00646441 0.00646441i
\(66\) 0.350166 0.202168i 0.0431024 0.0248852i
\(67\) 5.40430 + 9.36053i 0.660241 + 1.14357i 0.980552 + 0.196258i \(0.0628790\pi\)
−0.320312 + 0.947312i \(0.603788\pi\)
\(68\) −5.12309 + 16.6963i −0.621266 + 2.02473i
\(69\) 0.553271 0.958293i 0.0666060 0.115365i
\(70\) 0.658923i 0.0787564i
\(71\) −2.29490 8.56470i −0.272355 1.01644i −0.957593 0.288124i \(-0.906969\pi\)
0.685238 0.728319i \(-0.259698\pi\)
\(72\) 8.27079 14.3254i 0.974722 1.68827i
\(73\) −2.33972 8.73195i −0.273843 1.02200i −0.956612 0.291363i \(-0.905891\pi\)
0.682769 0.730634i \(-0.260776\pi\)
\(74\) 5.36328 20.0160i 0.623469 2.32682i
\(75\) −0.681668 0.681668i −0.0787122 0.0787122i
\(76\) 11.1185 6.41926i 1.27538 0.736340i
\(77\) 3.46395 + 1.99991i 0.394754 + 0.227911i
\(78\) −0.453476 0.453476i −0.0513461 0.0513461i
\(79\) 7.23755 1.93930i 0.814288 0.218188i 0.172441 0.985020i \(-0.444835\pi\)
0.641848 + 0.766832i \(0.278168\pi\)
\(80\) 0.292564 + 0.0783922i 0.0327096 + 0.00876451i
\(81\) 4.33321 + 7.50533i 0.481467 + 0.833926i
\(82\) 14.4144 14.4144i 1.59181 1.59181i
\(83\) 13.9095 8.03066i 1.52677 0.881480i 0.527273 0.849696i \(-0.323215\pi\)
0.999495 0.0317833i \(-0.0101187\pi\)
\(84\) −3.89446 −0.424920
\(85\) 0.121171 0.193478i 0.0131429 0.0209856i
\(86\) 11.1859 + 11.9588i 1.20621 + 1.28955i
\(87\) 1.12849i 0.120987i
\(88\) −3.31341 + 3.31341i −0.353211 + 0.353211i
\(89\) −4.70879 8.15587i −0.499131 0.864520i 0.500868 0.865523i \(-0.333014\pi\)
−0.999999 + 0.00100304i \(0.999681\pi\)
\(90\) −0.289662 + 0.289662i −0.0305331 + 0.0305331i
\(91\) 1.64196 6.12790i 0.172125 0.642378i
\(92\) −6.28803 + 23.4672i −0.655572 + 2.44663i
\(93\) 0.0518972 + 0.0299628i 0.00538149 + 0.00310700i
\(94\) 32.3231i 3.33387i
\(95\) −0.162101 + 0.0434348i −0.0166312 + 0.00445631i
\(96\) 0.124535 0.464771i 0.0127103 0.0474355i
\(97\) −2.14076 + 2.14076i −0.217361 + 0.217361i −0.807386 0.590024i \(-0.799118\pi\)
0.590024 + 0.807386i \(0.299118\pi\)
\(98\) −19.6177 33.9788i −1.98169 3.43238i
\(99\) −0.643589 2.40191i −0.0646831 0.241401i
\(100\) 18.3303 + 10.5830i 1.83303 + 1.05830i
\(101\) 9.26173 16.0418i 0.921577 1.59622i 0.124601 0.992207i \(-0.460235\pi\)
0.796976 0.604011i \(-0.206432\pi\)
\(102\) −1.68345 1.05431i −0.166686 0.104392i
\(103\) −8.48496 + 14.6964i −0.836048 + 1.44808i 0.0571261 + 0.998367i \(0.481806\pi\)
−0.893174 + 0.449711i \(0.851527\pi\)
\(104\) 6.43647 + 3.71610i 0.631148 + 0.364393i
\(105\) 0.0491719 + 0.0131756i 0.00479869 + 0.00128580i
\(106\) 7.88591 + 13.6588i 0.765947 + 1.32666i
\(107\) 4.84271 4.84271i 0.468163 0.468163i −0.433156 0.901319i \(-0.642600\pi\)
0.901319 + 0.433156i \(0.142600\pi\)
\(108\) 3.44550 + 3.44550i 0.331544 + 0.331544i
\(109\) −0.231129 + 0.862586i −0.0221382 + 0.0826207i −0.976111 0.217272i \(-0.930284\pi\)
0.953973 + 0.299893i \(0.0969508\pi\)
\(110\) 0.100496 0.0580216i 0.00958196 0.00553214i
\(111\) 1.38645 + 0.800466i 0.131596 + 0.0759769i
\(112\) 25.1818 6.74745i 2.37946 0.637574i
\(113\) 9.02439 + 9.02439i 0.848944 + 0.848944i 0.990001 0.141058i \(-0.0450503\pi\)
−0.141058 + 0.990001i \(0.545050\pi\)
\(114\) 0.377926 + 1.41044i 0.0353960 + 0.132100i
\(115\) 0.158787 0.275027i 0.0148069 0.0256464i
\(116\) 6.41276 + 23.9328i 0.595410 + 2.22210i
\(117\) −3.41562 + 1.97201i −0.315774 + 0.182312i
\(118\) 22.3150 2.05426
\(119\) 0.705664 19.6369i 0.0646882 1.80011i
\(120\) −0.0298190 + 0.0516480i −0.00272209 + 0.00471479i
\(121\) 10.2956i 0.935963i
\(122\) −1.94091 7.24357i −0.175722 0.655802i
\(123\) 0.787447 + 1.36390i 0.0710017 + 0.122979i
\(124\) −1.27089 0.340533i −0.114129 0.0305808i
\(125\) −0.391393 0.391393i −0.0350072 0.0350072i
\(126\) −9.12577 + 34.0578i −0.812988 + 3.03411i
\(127\) 3.12721i 0.277495i 0.990328 + 0.138747i \(0.0443076\pi\)
−0.990328 + 0.138747i \(0.955692\pi\)
\(128\) 16.7563i 1.48106i
\(129\) −1.11609 + 0.595622i −0.0982666 + 0.0524416i
\(130\) −0.130146 0.130146i −0.0114146 0.0114146i
\(131\) 6.36276 6.36276i 0.555917 0.555917i −0.372225 0.928142i \(-0.621405\pi\)
0.928142 + 0.372225i \(0.121405\pi\)
\(132\) −0.342927 0.593967i −0.0298480 0.0516982i
\(133\) −10.2139 + 10.2139i −0.885661 + 0.885661i
\(134\) 23.3747 13.4954i 2.01927 1.16582i
\(135\) −0.0318467 0.0551601i −0.00274093 0.00474742i
\(136\) 22.0071 + 6.75265i 1.88710 + 0.579035i
\(137\) −7.43349 −0.635086 −0.317543 0.948244i \(-0.602858\pi\)
−0.317543 + 0.948244i \(0.602858\pi\)
\(138\) −2.39301 1.38160i −0.203706 0.117610i
\(139\) 4.47097 + 1.19799i 0.379223 + 0.101612i 0.443395 0.896326i \(-0.353774\pi\)
−0.0641722 + 0.997939i \(0.520441\pi\)
\(140\) −1.11770 −0.0944626
\(141\) −2.41210 0.646320i −0.203135 0.0544299i
\(142\) −21.3874 + 5.73074i −1.79479 + 0.480913i
\(143\) 1.07919 0.289167i 0.0902461 0.0241814i
\(144\) −14.0361 8.10373i −1.16967 0.675311i
\(145\) 0.323873i 0.0268962i
\(146\) −21.8051 + 5.84265i −1.80460 + 0.483541i
\(147\) 2.92793 0.784536i 0.241491 0.0647074i
\(148\) −33.9521 9.09745i −2.79085 0.747806i
\(149\) 1.89541 + 3.28295i 0.155278 + 0.268950i 0.933160 0.359461i \(-0.117039\pi\)
−0.777882 + 0.628410i \(0.783706\pi\)
\(150\) −1.70223 + 1.70223i −0.138987 + 0.138987i
\(151\) 3.34390i 0.272123i 0.990700 + 0.136061i \(0.0434445\pi\)
−0.990700 + 0.136061i \(0.956556\pi\)
\(152\) −8.46111 14.6551i −0.686287 1.18868i
\(153\) −8.94255 + 8.32213i −0.722963 + 0.672805i
\(154\) 4.99409 8.65002i 0.402436 0.697039i
\(155\) 0.0148943 + 0.00859924i 0.00119634 + 0.000690707i
\(156\) −0.769208 + 0.769208i −0.0615859 + 0.0615859i
\(157\) −8.71799 + 15.1000i −0.695771 + 1.20511i 0.274149 + 0.961687i \(0.411604\pi\)
−0.969920 + 0.243424i \(0.921729\pi\)
\(158\) −4.84273 18.0733i −0.385267 1.43784i
\(159\) −1.17697 + 0.315367i −0.0933395 + 0.0250102i
\(160\) 0.0357411 0.133388i 0.00282558 0.0105452i
\(161\) 27.3345i 2.15426i
\(162\) 18.7420 10.8207i 1.47251 0.850154i
\(163\) 12.4418 3.33377i 0.974517 0.261121i 0.263783 0.964582i \(-0.415030\pi\)
0.710734 + 0.703461i \(0.248363\pi\)
\(164\) −24.4504 24.4504i −1.90926 1.90926i
\(165\) 0.00232036 + 0.00865968i 0.000180639 + 0.000674156i
\(166\) −20.0538 34.7342i −1.55648 2.69590i
\(167\) 7.55875 + 2.02536i 0.584914 + 0.156727i 0.539128 0.842224i \(-0.318754\pi\)
0.0457861 + 0.998951i \(0.485421\pi\)
\(168\) 5.13322i 0.396036i
\(169\) 5.61397 + 9.72368i 0.431844 + 0.747975i
\(170\) −0.483144 0.302583i −0.0370554 0.0232071i
\(171\) 8.98007 0.686723
\(172\) 20.2851 18.9741i 1.54673 1.44676i
\(173\) −10.1608 + 10.1608i −0.772515 + 0.772515i −0.978545 0.206031i \(-0.933945\pi\)
0.206031 + 0.978545i \(0.433945\pi\)
\(174\) −2.81802 −0.213634
\(175\) −23.0025 6.16351i −1.73883 0.465917i
\(176\) 3.24648 + 3.24648i 0.244713 + 0.244713i
\(177\) −0.446202 + 1.66525i −0.0335386 + 0.125168i
\(178\) −20.3665 + 11.7586i −1.52653 + 0.881344i
\(179\) −0.679833 0.392502i −0.0508131 0.0293370i 0.474378 0.880321i \(-0.342673\pi\)
−0.525191 + 0.850984i \(0.676006\pi\)
\(180\) 0.491338 + 0.491338i 0.0366222 + 0.0366222i
\(181\) −6.05512 + 1.62246i −0.450074 + 0.120597i −0.476734 0.879048i \(-0.658179\pi\)
0.0266602 + 0.999645i \(0.491513\pi\)
\(182\) −15.3023 4.10024i −1.13428 0.303930i
\(183\) 0.579358 0.0428274
\(184\) 30.9317 + 8.28814i 2.28032 + 0.611010i
\(185\) 0.397906 + 0.229731i 0.0292546 + 0.0168902i
\(186\) 0.0748219 0.129595i 0.00548621 0.00950240i
\(187\) 3.05707 1.62150i 0.223555 0.118576i
\(188\) 54.8279 3.99874
\(189\) −4.74779 2.74114i −0.345351 0.199389i
\(190\) 0.108463 + 0.404791i 0.00786877 + 0.0293666i
\(191\) 5.39694 + 9.34778i 0.390509 + 0.676382i 0.992517 0.122109i \(-0.0389657\pi\)
−0.602008 + 0.798490i \(0.705632\pi\)
\(192\) 0.878189 + 0.235310i 0.0633778 + 0.0169820i
\(193\) 10.5558 + 10.5558i 0.759821 + 0.759821i 0.976290 0.216468i \(-0.0694538\pi\)
−0.216468 + 0.976290i \(0.569454\pi\)
\(194\) 5.34582 + 5.34582i 0.383807 + 0.383807i
\(195\) 0.0123145 0.00710976i 0.000881857 0.000509141i
\(196\) −57.6365 + 33.2764i −4.11689 + 2.37689i
\(197\) 18.5526 4.97116i 1.32182 0.354181i 0.472161 0.881512i \(-0.343474\pi\)
0.849659 + 0.527332i \(0.176807\pi\)
\(198\) −5.99794 + 1.60714i −0.426255 + 0.114215i
\(199\) 0.306646 0.306646i 0.0217376 0.0217376i −0.696154 0.717892i \(-0.745107\pi\)
0.717892 + 0.696154i \(0.245107\pi\)
\(200\) 13.9493 24.1608i 0.986361 1.70843i
\(201\) 0.539697 + 2.01418i 0.0380673 + 0.142069i
\(202\) −40.0589 23.1280i −2.81853 1.62728i
\(203\) −13.9384 24.1420i −0.978282 1.69443i
\(204\) −1.78837 + 2.85554i −0.125211 + 0.199928i
\(205\) 0.225995 + 0.391434i 0.0157842 + 0.0273389i
\(206\) 36.6992 + 21.1883i 2.55695 + 1.47626i
\(207\) −12.0162 + 12.0162i −0.835185 + 0.835185i
\(208\) 3.64104 6.30646i 0.252460 0.437274i
\(209\) −2.45718 0.658399i −0.169967 0.0455424i
\(210\) 0.0329015 0.122790i 0.00227042 0.00847331i
\(211\) 14.5499 + 14.5499i 1.00166 + 1.00166i 0.999999 + 0.00166124i \(0.000528789\pi\)
0.00166124 + 0.999999i \(0.499471\pi\)
\(212\) 23.1687 13.3764i 1.59123 0.918698i
\(213\) 1.71062i 0.117210i
\(214\) −12.0930 12.0930i −0.826661 0.826661i
\(215\) −0.320315 + 0.170942i −0.0218453 + 0.0116581i
\(216\) 4.54146 4.54146i 0.309007 0.309007i
\(217\) 1.48032 0.100491
\(218\) 2.15401 + 0.577166i 0.145888 + 0.0390906i
\(219\) 1.74402i 0.117850i
\(220\) −0.0984190 0.170467i −0.00663540 0.0114929i
\(221\) −3.73917 4.01792i −0.251524 0.270275i
\(222\) 1.99889 3.46218i 0.134157 0.232366i
\(223\) 7.40557i 0.495914i −0.968771 0.247957i \(-0.920241\pi\)
0.968771 0.247957i \(-0.0797591\pi\)
\(224\) −3.07634 11.4811i −0.205547 0.767111i
\(225\) 7.40241 + 12.8214i 0.493494 + 0.854757i
\(226\) 22.5353 22.5353i 1.49903 1.49903i
\(227\) −0.940388 + 3.50958i −0.0624157 + 0.232939i −0.990086 0.140461i \(-0.955141\pi\)
0.927670 + 0.373400i \(0.121808\pi\)
\(228\) 2.39245 0.641055i 0.158444 0.0424549i
\(229\) 4.82931 + 2.78820i 0.319130 + 0.184250i 0.651005 0.759074i \(-0.274348\pi\)
−0.331875 + 0.943323i \(0.607681\pi\)
\(230\) −0.686785 0.396516i −0.0452853 0.0261455i
\(231\) 0.545645 + 0.545645i 0.0359008 + 0.0359008i
\(232\) 31.5453 8.45255i 2.07105 0.554937i
\(233\) −1.87973 7.01524i −0.123145 0.459583i 0.876622 0.481180i \(-0.159792\pi\)
−0.999767 + 0.0215967i \(0.993125\pi\)
\(234\) 4.92442 + 8.52934i 0.321919 + 0.557581i
\(235\) −0.692264 0.185492i −0.0451583 0.0121001i
\(236\) 37.8518i 2.46394i
\(237\) 1.44555 0.0938984
\(238\) −49.0363 1.76215i −3.17855 0.114224i
\(239\) −2.98679 5.17327i −0.193199 0.334631i 0.753109 0.657895i \(-0.228553\pi\)
−0.946309 + 0.323264i \(0.895220\pi\)
\(240\) 0.0506048 + 0.0292167i 0.00326652 + 0.00188593i
\(241\) 4.08346 + 15.2397i 0.263039 + 0.981674i 0.963440 + 0.267924i \(0.0863377\pi\)
−0.700401 + 0.713749i \(0.746996\pi\)
\(242\) −25.7097 −1.65268
\(243\) 1.32594 + 4.94846i 0.0850589 + 0.317444i
\(244\) −12.2869 + 3.29226i −0.786587 + 0.210765i
\(245\) 0.840305 0.225159i 0.0536851 0.0143849i
\(246\) 3.40587 1.96638i 0.217150 0.125372i
\(247\) 4.03478i 0.256727i
\(248\) −0.448851 + 1.67514i −0.0285021 + 0.106371i
\(249\) 2.99302 0.801977i 0.189675 0.0508232i
\(250\) −0.977370 + 0.977370i −0.0618143 + 0.0618143i
\(251\) −1.85075 + 3.20559i −0.116818 + 0.202335i −0.918505 0.395409i \(-0.870603\pi\)
0.801687 + 0.597744i \(0.203936\pi\)
\(252\) 57.7705 + 15.4796i 3.63920 + 0.975120i
\(253\) 4.16895 2.40695i 0.262100 0.151323i
\(254\) 7.80913 0.489988
\(255\) 0.0322409 0.0300041i 0.00201900 0.00187893i
\(256\) −32.4178 −2.02611
\(257\) 1.94752i 0.121483i −0.998154 0.0607416i \(-0.980653\pi\)
0.998154 0.0607416i \(-0.0193465\pi\)
\(258\) 1.48736 + 2.78706i 0.0925992 + 0.173515i
\(259\) 39.5473 2.45735
\(260\) −0.220760 + 0.220760i −0.0136910 + 0.0136910i
\(261\) −4.48549 + 16.7401i −0.277645 + 1.03618i
\(262\) −15.8888 15.8888i −0.981615 0.981615i
\(263\) 11.8125 6.81997i 0.728393 0.420538i −0.0894413 0.995992i \(-0.528508\pi\)
0.817834 + 0.575454i \(0.195175\pi\)
\(264\) −0.782898 + 0.452006i −0.0481840 + 0.0278191i
\(265\) −0.337785 + 0.0905093i −0.0207500 + 0.00555994i
\(266\) 25.5058 + 25.5058i 1.56386 + 1.56386i
\(267\) −0.470241 1.75496i −0.0287783 0.107402i
\(268\) −22.8915 39.6492i −1.39832 2.42196i
\(269\) 2.27717 2.27717i 0.138842 0.138842i −0.634270 0.773112i \(-0.718699\pi\)
0.773112 + 0.634270i \(0.218699\pi\)
\(270\) −0.137743 + 0.0795262i −0.00838279 + 0.00483981i
\(271\) −7.23864 + 12.5377i −0.439716 + 0.761611i −0.997667 0.0682628i \(-0.978254\pi\)
0.557951 + 0.829874i \(0.311588\pi\)
\(272\) 6.61626 21.5626i 0.401170 1.30743i
\(273\) 0.611958 1.05994i 0.0370374 0.0641507i
\(274\) 18.5626i 1.12141i
\(275\) −1.08546 4.05098i −0.0654555 0.244283i
\(276\) −2.34354 + 4.05913i −0.141065 + 0.244331i
\(277\) 22.4782 + 6.02302i 1.35058 + 0.361888i 0.860351 0.509703i \(-0.170245\pi\)
0.490234 + 0.871591i \(0.336911\pi\)
\(278\) 2.99157 11.1647i 0.179423 0.669615i
\(279\) −0.650749 0.650749i −0.0389593 0.0389593i
\(280\) 1.47322i 0.0880415i
\(281\) 16.0718 9.27908i 0.958766 0.553544i 0.0629729 0.998015i \(-0.479942\pi\)
0.895793 + 0.444471i \(0.146609\pi\)
\(282\) −1.61396 + 6.02339i −0.0961100 + 0.358688i
\(283\) 17.1483 4.59488i 1.01936 0.273137i 0.289826 0.957079i \(-0.406402\pi\)
0.729537 + 0.683942i \(0.239736\pi\)
\(284\) 9.72074 + 36.2783i 0.576820 + 2.15272i
\(285\) −0.0323762 −0.00191780
\(286\) −0.722096 2.69490i −0.0426984 0.159353i
\(287\) 33.6919 + 19.4520i 1.98877 + 1.14822i
\(288\) −3.69471 + 6.39942i −0.217713 + 0.377090i
\(289\) −14.0743 9.53483i −0.827902 0.560872i
\(290\) −0.808763 −0.0474922
\(291\) −0.505823 + 0.292037i −0.0296518 + 0.0171195i
\(292\) 9.91056 + 36.9867i 0.579972 + 2.16448i
\(293\) −15.5311 −0.907338 −0.453669 0.891170i \(-0.649885\pi\)
−0.453669 + 0.891170i \(0.649885\pi\)
\(294\) −1.95911 7.31149i −0.114258 0.426415i
\(295\) −0.128059 + 0.477921i −0.00745586 + 0.0278256i
\(296\) −11.9912 + 44.7517i −0.696974 + 2.60114i
\(297\) 0.965486i 0.0560232i
\(298\) 8.19804 4.73314i 0.474900 0.274183i
\(299\) −5.39893 5.39893i −0.312228 0.312228i
\(300\) 2.88740 + 2.88740i 0.166704 + 0.166704i
\(301\) −16.5200 + 26.5275i −0.952197 + 1.52902i
\(302\) 8.35025 0.480503
\(303\) 2.52692 2.52692i 0.145168 0.145168i
\(304\) −14.3591 + 8.29021i −0.823549 + 0.475476i
\(305\) 0.166274 0.00952082
\(306\) 20.7817 + 22.3310i 1.18801 + 1.27658i
\(307\) 1.49556 + 2.59038i 0.0853559 + 0.147841i 0.905543 0.424255i \(-0.139464\pi\)
−0.820187 + 0.572096i \(0.806131\pi\)
\(308\) −14.6726 8.47121i −0.836047 0.482692i
\(309\) −2.31499 + 2.31499i −0.131695 + 0.131695i
\(310\) 0.0214736 0.0371934i 0.00121962 0.00211245i
\(311\) 20.9691 + 5.61867i 1.18905 + 0.318605i 0.798511 0.601980i \(-0.205621\pi\)
0.390541 + 0.920586i \(0.372288\pi\)
\(312\) 1.01388 + 1.01388i 0.0573996 + 0.0573996i
\(313\) 2.12866 7.94428i 0.120319 0.449037i −0.879311 0.476249i \(-0.841996\pi\)
0.999630 + 0.0272116i \(0.00866278\pi\)
\(314\) 37.7071 + 21.7702i 2.12793 + 1.22856i
\(315\) −0.677048 0.390894i −0.0381473 0.0220244i
\(316\) −30.6568 + 8.21446i −1.72458 + 0.462099i
\(317\) −22.5975 22.5975i −1.26920 1.26920i −0.946502 0.322699i \(-0.895410\pi\)
−0.322699 0.946502i \(-0.604590\pi\)
\(318\) 0.787521 + 2.93907i 0.0441620 + 0.164815i
\(319\) 2.45469 4.25165i 0.137436 0.238047i
\(320\) 0.252037 + 0.0675332i 0.0140893 + 0.00377522i
\(321\) 1.14424 0.660630i 0.0638655 0.0368727i
\(322\) −68.2586 −3.80390
\(323\) 2.79886 + 12.1795i 0.155733 + 0.677686i
\(324\) −18.3546 31.7910i −1.01970 1.76617i
\(325\) −5.76068 + 3.32593i −0.319545 + 0.184489i
\(326\) −8.32494 31.0691i −0.461076 1.72076i
\(327\) −0.0861415 + 0.149202i −0.00476364 + 0.00825086i
\(328\) −32.2277 + 32.2277i −1.77948 + 1.77948i
\(329\) −59.5852 + 15.9658i −3.28504 + 0.880224i
\(330\) 0.0216246 0.00579429i 0.00119039 0.000318965i
\(331\) 14.3748 + 8.29928i 0.790109 + 0.456170i 0.840001 0.542585i \(-0.182554\pi\)
−0.0498921 + 0.998755i \(0.515888\pi\)
\(332\) −58.9178 + 34.0162i −3.23353 + 1.86688i
\(333\) −17.3849 17.3849i −0.952689 0.952689i
\(334\) 5.05764 18.8754i 0.276742 1.03282i
\(335\) 0.154891 + 0.578062i 0.00846262 + 0.0315829i
\(336\) 5.02953 0.274383
\(337\) 3.41392 + 12.7409i 0.185968 + 0.694043i 0.994421 + 0.105482i \(0.0336386\pi\)
−0.808453 + 0.588561i \(0.799695\pi\)
\(338\) 24.2815 14.0190i 1.32074 0.762531i
\(339\) 1.23108 + 2.13230i 0.0668632 + 0.115811i
\(340\) −0.513256 + 0.819531i −0.0278352 + 0.0444453i
\(341\) 0.130350 + 0.225773i 0.00705886 + 0.0122263i
\(342\) 22.4246i 1.21259i
\(343\) 29.3584 29.3584i 1.58520 1.58520i
\(344\) −25.0094 26.7375i −1.34842 1.44159i
\(345\) 0.0433225 0.0433225i 0.00233241 0.00233241i
\(346\) 25.3732 + 25.3732i 1.36407 + 1.36407i
\(347\) −0.890994 + 3.32523i −0.0478310 + 0.178508i −0.985709 0.168458i \(-0.946121\pi\)
0.937878 + 0.346966i \(0.112788\pi\)
\(348\) 4.78006i 0.256238i
\(349\) −20.2383 + 11.6846i −1.08333 + 0.625463i −0.931794 0.362988i \(-0.881756\pi\)
−0.151540 + 0.988451i \(0.548423\pi\)
\(350\) −15.3912 + 57.4409i −0.822696 + 3.07034i
\(351\) −1.47916 + 0.396341i −0.0789520 + 0.0211551i
\(352\) 1.48016 1.48016i 0.0788928 0.0788928i
\(353\) −9.67625 + 16.7598i −0.515015 + 0.892032i 0.484833 + 0.874606i \(0.338880\pi\)
−0.999848 + 0.0174251i \(0.994453\pi\)
\(354\) 4.15839 + 1.11424i 0.221016 + 0.0592210i
\(355\) 0.490941i 0.0260565i
\(356\) 19.9455 + 34.5466i 1.05711 + 1.83096i
\(357\) 1.11201 3.62408i 0.0588539 0.191807i
\(358\) −0.980139 + 1.69765i −0.0518019 + 0.0897236i
\(359\) −6.58054 3.79928i −0.347308 0.200518i 0.316191 0.948696i \(-0.397596\pi\)
−0.663499 + 0.748177i \(0.730929\pi\)
\(360\) 0.647624 0.647624i 0.0341328 0.0341328i
\(361\) −4.90664 + 8.49855i −0.258244 + 0.447292i
\(362\) 4.05155 + 15.1206i 0.212945 + 0.794720i
\(363\) 0.514081 1.91858i 0.0269823 0.100699i
\(364\) −6.95502 + 25.9565i −0.364542 + 1.36049i
\(365\) 0.500528i 0.0261988i
\(366\) 1.44675i 0.0756228i
\(367\) −3.52176 + 13.1434i −0.183834 + 0.686078i 0.811043 + 0.584987i \(0.198900\pi\)
−0.994877 + 0.101092i \(0.967766\pi\)
\(368\) 8.12073 30.3070i 0.423322 1.57986i
\(369\) −6.25983 23.3620i −0.325874 1.21618i
\(370\) 0.573675 0.993634i 0.0298239 0.0516566i
\(371\) −21.2838 + 21.2838i −1.10500 + 1.10500i
\(372\) −0.219826 0.126916i −0.0113974 0.00658031i
\(373\) 6.53765 11.3235i 0.338507 0.586311i −0.645645 0.763637i \(-0.723412\pi\)
0.984152 + 0.177327i \(0.0567449\pi\)
\(374\) −4.04915 7.63400i −0.209376 0.394745i
\(375\) −0.0533927 0.0924789i −0.00275719 0.00477559i
\(376\) 72.2677i 3.72692i
\(377\) −7.52138 2.01535i −0.387371 0.103796i
\(378\) −6.84505 + 11.8560i −0.352072 + 0.609806i
\(379\) 3.20097 3.20097i 0.164423 0.164423i −0.620100 0.784523i \(-0.712908\pi\)
0.784523 + 0.620100i \(0.212908\pi\)
\(380\) 0.686625 0.183981i 0.0352231 0.00943801i
\(381\) −0.156148 + 0.582753i −0.00799972 + 0.0298554i
\(382\) 23.3429 13.4770i 1.19433 0.689544i
\(383\) 22.3871i 1.14393i −0.820279 0.571963i \(-0.806182\pi\)
0.820279 0.571963i \(-0.193818\pi\)
\(384\) 0.836676 3.12252i 0.0426964 0.159345i
\(385\) 0.156598 + 0.156598i 0.00798099 + 0.00798099i
\(386\) 26.3594 26.3594i 1.34166 1.34166i
\(387\) 18.9236 4.39927i 0.961942 0.223627i
\(388\) 9.06782 9.06782i 0.460349 0.460349i
\(389\) 12.9335i 0.655754i −0.944720 0.327877i \(-0.893667\pi\)
0.944720 0.327877i \(-0.106333\pi\)
\(390\) −0.0177542 0.0307512i −0.000899018 0.00155715i
\(391\) −20.0425 12.5522i −1.01360 0.634794i
\(392\) 43.8611 + 75.9697i 2.21532 + 3.83705i
\(393\) 1.50340 0.867991i 0.0758367 0.0437843i
\(394\) −12.4138 46.3288i −0.625397 2.33401i
\(395\) 0.414867 0.0208742
\(396\) 2.72611 + 10.1740i 0.136992 + 0.511262i
\(397\) 4.90866 18.3194i 0.246358 0.919422i −0.726337 0.687338i \(-0.758779\pi\)
0.972696 0.232084i \(-0.0745543\pi\)
\(398\) −0.765743 0.765743i −0.0383832 0.0383832i
\(399\) −2.41337 + 1.39336i −0.120819 + 0.0697551i
\(400\) −23.6728 13.6675i −1.18364 0.683375i
\(401\) −2.13305 + 0.571548i −0.106519 + 0.0285417i −0.311685 0.950186i \(-0.600893\pi\)
0.205166 + 0.978727i \(0.434227\pi\)
\(402\) 5.02972 1.34771i 0.250859 0.0672176i
\(403\) 0.292384 0.292384i 0.0145647 0.0145647i
\(404\) −39.2308 + 67.9497i −1.95180 + 3.38062i
\(405\) 0.124193 + 0.463494i 0.00617119 + 0.0230312i
\(406\) −60.2863 + 34.8063i −2.99196 + 1.72741i
\(407\) 3.48234 + 6.03160i 0.172613 + 0.298975i
\(408\) 3.76384 + 2.35722i 0.186338 + 0.116700i
\(409\) −28.5400 −1.41121 −0.705607 0.708603i \(-0.749326\pi\)
−0.705607 + 0.708603i \(0.749326\pi\)
\(410\) 0.977473 0.564344i 0.0482739 0.0278710i
\(411\) −1.38523 0.371170i −0.0683282 0.0183085i
\(412\) 35.9405 62.2508i 1.77066 3.06688i
\(413\) 11.0224 + 41.1361i 0.542376 + 2.02417i
\(414\) 30.0064 + 30.0064i 1.47473 + 1.47473i
\(415\) 0.858986 0.230165i 0.0421660 0.0112983i
\(416\) −2.87529 1.66005i −0.140972 0.0813905i
\(417\) 0.773344 + 0.446490i 0.0378708 + 0.0218647i
\(418\) −1.64413 + 6.13596i −0.0804168 + 0.300120i
\(419\) 15.7212 + 15.7212i 0.768033 + 0.768033i 0.977760 0.209727i \(-0.0672576\pi\)
−0.209727 + 0.977760i \(0.567258\pi\)
\(420\) −0.208282 0.0558090i −0.0101631 0.00272320i
\(421\) −17.4232 + 30.1779i −0.849154 + 1.47078i 0.0328095 + 0.999462i \(0.489555\pi\)
−0.881964 + 0.471317i \(0.843779\pi\)
\(422\) 36.3335 36.3335i 1.76869 1.76869i
\(423\) 33.2122 + 19.1750i 1.61483 + 0.932323i
\(424\) −17.6313 30.5382i −0.856249 1.48307i
\(425\) −15.0822 + 14.0359i −0.731596 + 0.680839i
\(426\) −4.27168 −0.206963
\(427\) 12.3943 7.15585i 0.599802 0.346296i
\(428\) −20.5127 + 20.5127i −0.991520 + 0.991520i
\(429\) 0.215544 0.0104066
\(430\) 0.426868 + 0.799877i 0.0205854 + 0.0385735i
\(431\) 11.7228 + 11.7228i 0.564668 + 0.564668i 0.930630 0.365962i \(-0.119260\pi\)
−0.365962 + 0.930630i \(0.619260\pi\)
\(432\) −4.44973 4.44973i −0.214088 0.214088i
\(433\) −16.5889 + 9.57759i −0.797210 + 0.460270i −0.842495 0.538705i \(-0.818914\pi\)
0.0452844 + 0.998974i \(0.485581\pi\)
\(434\) 3.69660i 0.177443i
\(435\) 0.0161717 0.0603536i 0.000775374 0.00289373i
\(436\) 0.979015 3.65373i 0.0468863 0.174982i
\(437\) 4.49945 + 16.7922i 0.215238 + 0.803279i
\(438\) −4.35509 −0.208094
\(439\) 0.428513 + 1.59923i 0.0204518 + 0.0763272i 0.975398 0.220453i \(-0.0707537\pi\)
−0.954946 + 0.296781i \(0.904087\pi\)
\(440\) −0.224689 + 0.129724i −0.0107116 + 0.00618436i
\(441\) −46.5513 −2.21673
\(442\) −10.0334 + 9.33729i −0.477240 + 0.444129i
\(443\) −3.57939 + 6.19968i −0.170062 + 0.294556i −0.938441 0.345439i \(-0.887730\pi\)
0.768379 + 0.639995i \(0.221063\pi\)
\(444\) −5.87271 3.39061i −0.278706 0.160911i
\(445\) −0.134957 0.503668i −0.00639760 0.0238762i
\(446\) −18.4929 −0.875663
\(447\) 0.189284 + 0.706418i 0.00895283 + 0.0334124i
\(448\) 21.6936 5.81278i 1.02493 0.274628i
\(449\) −8.78424 + 32.7832i −0.414554 + 1.54714i 0.371173 + 0.928564i \(0.378956\pi\)
−0.785727 + 0.618573i \(0.787711\pi\)
\(450\) 32.0169 18.4850i 1.50929 0.871390i
\(451\) 6.85141i 0.322620i
\(452\) −38.2255 38.2255i −1.79797 1.79797i
\(453\) −0.166968 + 0.623134i −0.00784486 + 0.0292774i
\(454\) 8.76396 + 2.34830i 0.411313 + 0.110211i
\(455\) 0.175630 0.304200i 0.00823366 0.0142611i
\(456\) −0.844964 3.15345i −0.0395690 0.147674i
\(457\) 17.8739i 0.836105i −0.908423 0.418053i \(-0.862713\pi\)
0.908423 0.418053i \(-0.137287\pi\)
\(458\) 6.96258 12.0595i 0.325340 0.563505i
\(459\) −4.19012 + 2.22248i −0.195578 + 0.103736i
\(460\) −0.672588 + 1.16496i −0.0313596 + 0.0543164i
\(461\) 12.5241 7.23080i 0.583306 0.336772i −0.179140 0.983824i \(-0.557332\pi\)
0.762446 + 0.647052i \(0.223998\pi\)
\(462\) 1.36256 1.36256i 0.0633921 0.0633921i
\(463\) −6.51543 11.2851i −0.302798 0.524461i 0.673971 0.738758i \(-0.264587\pi\)
−0.976769 + 0.214297i \(0.931254\pi\)
\(464\) −8.28182 30.9082i −0.384474 1.43488i
\(465\) 0.00234617 + 0.00234617i 0.000108801 + 0.000108801i
\(466\) −17.5181 + 4.69397i −0.811512 + 0.217444i
\(467\) −19.6420 + 11.3403i −0.908922 + 0.524766i −0.880084 0.474818i \(-0.842514\pi\)
−0.0288378 + 0.999584i \(0.509181\pi\)
\(468\) 14.4679 8.35303i 0.668777 0.386119i
\(469\) 36.4236 + 36.4236i 1.68188 + 1.68188i
\(470\) −0.463202 + 1.72869i −0.0213659 + 0.0797386i
\(471\) −2.37857 + 2.37857i −0.109599 + 0.109599i
\(472\) −49.8917 −2.29645
\(473\) −5.50054 0.183685i −0.252915 0.00844586i
\(474\) 3.60976i 0.165802i
\(475\) 15.1455 0.694924
\(476\) −2.98905 + 83.1777i −0.137003 + 3.81244i
\(477\) 18.7126 0.856793
\(478\) −12.9185 + 7.45849i −0.590877 + 0.341143i
\(479\) 5.63733 + 1.51052i 0.257576 + 0.0690173i 0.385296 0.922793i \(-0.374099\pi\)
−0.127720 + 0.991810i \(0.540766\pi\)
\(480\) 0.0133207 0.0230721i 0.000608003 0.00105309i
\(481\) 7.81112 7.81112i 0.356156 0.356156i
\(482\) 38.0559 10.1970i 1.73340 0.464462i
\(483\) 1.36487 5.09377i 0.0621038 0.231775i
\(484\) 43.6100i 1.98227i
\(485\) −0.145169 + 0.0838136i −0.00659180 + 0.00380578i
\(486\) 12.3571 3.31107i 0.560529 0.150193i
\(487\) −31.2405 + 8.37086i −1.41564 + 0.379320i −0.883935 0.467609i \(-0.845115\pi\)
−0.531706 + 0.846929i \(0.678449\pi\)
\(488\) 4.33947 + 16.1951i 0.196439 + 0.733119i
\(489\) 2.48498 0.112375
\(490\) −0.562258 2.09837i −0.0254002 0.0947949i
\(491\) −3.03712 1.75348i −0.137063 0.0791336i 0.429900 0.902876i \(-0.358549\pi\)
−0.566964 + 0.823743i \(0.691882\pi\)
\(492\) −3.33546 5.77719i −0.150374 0.260456i
\(493\) −24.1023 0.866133i −1.08551 0.0390087i
\(494\) 10.0755 0.453317
\(495\) 0.137681i 0.00618829i
\(496\) 1.64130 + 0.439785i 0.0736966 + 0.0197469i
\(497\) −21.1284 36.5954i −0.947738 1.64153i
\(498\) −2.00266 7.47404i −0.0897414 0.334920i
\(499\) −30.9710 + 8.29866i −1.38645 + 0.371499i −0.873461 0.486894i \(-0.838130\pi\)
−0.512992 + 0.858393i \(0.671463\pi\)
\(500\) 1.65786 + 1.65786i 0.0741417 + 0.0741417i
\(501\) 1.30744 + 0.754850i 0.0584120 + 0.0337242i
\(502\) 8.00487 + 4.62161i 0.357275 + 0.206273i
\(503\) 34.9716 9.37062i 1.55931 0.417815i 0.626863 0.779129i \(-0.284339\pi\)
0.932444 + 0.361314i \(0.117672\pi\)
\(504\) 20.4033 76.1463i 0.908836 3.39182i
\(505\) 0.725218 0.725218i 0.0322718 0.0322718i
\(506\) −6.01052 10.4105i −0.267200 0.462804i
\(507\) 0.560635 + 2.09232i 0.0248987 + 0.0929232i
\(508\) 13.2462i 0.587705i
\(509\) −1.77414 + 3.07290i −0.0786373 + 0.136204i −0.902662 0.430350i \(-0.858390\pi\)
0.824025 + 0.566554i \(0.191724\pi\)
\(510\) −0.0749249 0.0805106i −0.00331773 0.00356507i
\(511\) −21.5410 37.3101i −0.952917 1.65050i
\(512\) 47.4398i 2.09656i
\(513\) 3.36788 + 0.902422i 0.148696 + 0.0398429i
\(514\) −4.86327 −0.214510
\(515\) −0.664394 + 0.664394i −0.0292767 + 0.0292767i
\(516\) 4.72754 2.52293i 0.208118 0.111066i
\(517\) −7.68183 7.68183i −0.337847 0.337847i
\(518\) 98.7558i 4.33908i
\(519\) −2.40082 + 1.38611i −0.105384 + 0.0608437i
\(520\) 0.290980 + 0.290980i 0.0127603 + 0.0127603i
\(521\) −2.20444 + 8.22707i −0.0965782 + 0.360435i −0.997254 0.0740570i \(-0.976405\pi\)
0.900676 + 0.434492i \(0.143072\pi\)
\(522\) 41.8026 + 11.2010i 1.82965 + 0.490253i
\(523\) 7.49203 12.9766i 0.327604 0.567426i −0.654432 0.756121i \(-0.727092\pi\)
0.982036 + 0.188694i \(0.0604256\pi\)
\(524\) −26.9514 + 26.9514i −1.17738 + 1.17738i
\(525\) −3.97875 2.29713i −0.173647 0.100255i
\(526\) −17.0305 29.4978i −0.742567 1.28616i
\(527\) 0.679777 1.08542i 0.0296116 0.0472817i
\(528\) 0.442876 + 0.767084i 0.0192737 + 0.0333831i
\(529\) −8.57174 4.94889i −0.372684 0.215169i
\(530\) 0.226016 + 0.843503i 0.00981750 + 0.0366394i
\(531\) 13.2380 22.9288i 0.574478 0.995025i
\(532\) 43.2641 43.2641i 1.87574 1.87574i
\(533\) 10.4966 2.81257i 0.454660 0.121826i
\(534\) −4.38241 + 1.17426i −0.189646 + 0.0508154i
\(535\) 0.328394 0.189598i 0.0141977 0.00819706i
\(536\) −52.2610 + 30.1729i −2.25733 + 1.30327i
\(537\) −0.107088 0.107088i −0.00462119 0.00462119i
\(538\) −5.68645 5.68645i −0.245160 0.245160i
\(539\) 12.7376 + 3.41304i 0.548649 + 0.147010i
\(540\) 0.134896 + 0.233647i 0.00580500 + 0.0100546i
\(541\) −11.2285 41.9054i −0.482752 1.80166i −0.589976 0.807421i \(-0.700863\pi\)
0.107223 0.994235i \(-0.465804\pi\)
\(542\) 31.3086 + 18.0760i 1.34482 + 0.776432i
\(543\) −1.20938 −0.0518995
\(544\) −9.83098 3.01653i −0.421500 0.129333i
\(545\) −0.0247223 + 0.0428203i −0.00105899 + 0.00183422i
\(546\) −2.64684 1.52816i −0.113274 0.0653990i
\(547\) 26.3335 + 7.05603i 1.12594 + 0.301694i 0.773284 0.634060i \(-0.218613\pi\)
0.352654 + 0.935754i \(0.385279\pi\)
\(548\) 31.4867 1.34505
\(549\) −8.59422 2.30281i −0.366792 0.0982817i
\(550\) −10.1159 + 2.71056i −0.431345 + 0.115579i
\(551\) 12.5366 + 12.5366i 0.534077 + 0.534077i
\(552\) 5.35027 + 3.08898i 0.227723 + 0.131476i
\(553\) 30.9248 17.8544i 1.31506 0.759247i
\(554\) 15.0404 56.1316i 0.639006 2.38480i
\(555\) 0.0626786 + 0.0626786i 0.00266056 + 0.00266056i
\(556\) −18.9381 5.07445i −0.803154 0.215204i
\(557\) −17.6446 −0.747627 −0.373814 0.927504i \(-0.621950\pi\)
−0.373814 + 0.927504i \(0.621950\pi\)
\(558\) −1.62502 + 1.62502i −0.0687927 + 0.0687927i
\(559\) 1.97661 + 8.50246i 0.0836016 + 0.359616i
\(560\) 1.44346 0.0609973
\(561\) 0.650649 0.149520i 0.0274704 0.00631273i
\(562\) −23.1713 40.1339i −0.977423 1.69295i
\(563\) 24.2082i 1.02025i 0.860100 + 0.510126i \(0.170401\pi\)
−0.860100 + 0.510126i \(0.829599\pi\)
\(564\) 10.2171 + 2.73768i 0.430220 + 0.115277i
\(565\) 0.353317 + 0.611963i 0.0148641 + 0.0257455i
\(566\) −11.4741 42.8221i −0.482294 1.79995i
\(567\) 29.2047 + 29.2047i 1.22648 + 1.22648i
\(568\) 47.8178 12.8127i 2.00639 0.537611i
\(569\) −16.0967 + 9.29343i −0.674808 + 0.389601i −0.797896 0.602795i \(-0.794054\pi\)
0.123088 + 0.992396i \(0.460720\pi\)
\(570\) 0.0808484i 0.00338637i
\(571\) 3.11003 11.6068i 0.130151 0.485729i −0.869820 0.493369i \(-0.835765\pi\)
0.999971 + 0.00764017i \(0.00243197\pi\)
\(572\) −4.57121 + 1.22485i −0.191132 + 0.0512136i
\(573\) 0.538962 + 2.01143i 0.0225155 + 0.0840289i
\(574\) 48.5748 84.1340i 2.02747 3.51168i
\(575\) −20.2662 + 20.2662i −0.845158 + 0.845158i
\(576\) −12.0918 6.98119i −0.503824 0.290883i
\(577\) 6.28570 10.8872i 0.261677 0.453238i −0.705010 0.709197i \(-0.749058\pi\)
0.966688 + 0.255959i \(0.0823911\pi\)
\(578\) −23.8100 + 35.1458i −0.990364 + 1.46187i
\(579\) 1.43999 + 2.49413i 0.0598439 + 0.103653i
\(580\) 1.37186i 0.0569634i
\(581\) 54.1245 54.1245i 2.24546 2.24546i
\(582\) 0.729262 + 1.26312i 0.0302289 + 0.0523579i
\(583\) −5.12027 1.37197i −0.212060 0.0568212i
\(584\) 48.7516 13.0629i 2.01735 0.540548i
\(585\) −0.210933 + 0.0565193i −0.00872100 + 0.00233678i
\(586\) 38.7837i 1.60214i
\(587\) −36.4544 21.0469i −1.50463 0.868700i −0.999986 0.00537487i \(-0.998289\pi\)
−0.504648 0.863325i \(-0.668378\pi\)
\(588\) −12.4021 + 3.32313i −0.511454 + 0.137044i
\(589\) −0.909396 + 0.243672i −0.0374710 + 0.0100403i
\(590\) 1.19344 + 0.319782i 0.0491333 + 0.0131652i
\(591\) 3.70549 0.152424
\(592\) 43.8478 + 11.7490i 1.80213 + 0.482880i
\(593\) −32.1792 18.5786i −1.32144 0.762933i −0.337481 0.941332i \(-0.609575\pi\)
−0.983958 + 0.178399i \(0.942908\pi\)
\(594\) −2.41097 −0.0989233
\(595\) 0.319144 1.04010i 0.0130836 0.0426399i
\(596\) −8.02857 13.9059i −0.328863 0.569607i
\(597\) 0.0724548 0.0418318i 0.00296538 0.00171206i
\(598\) −13.4820 + 13.4820i −0.551319 + 0.551319i
\(599\) −10.4286 18.0629i −0.426102 0.738031i 0.570420 0.821353i \(-0.306780\pi\)
−0.996523 + 0.0833221i \(0.973447\pi\)
\(600\) 3.80584 3.80584i 0.155373 0.155373i
\(601\) 5.50064 + 5.50064i 0.224376 + 0.224376i 0.810338 0.585962i \(-0.199283\pi\)
−0.585962 + 0.810338i \(0.699283\pi\)
\(602\) 66.2432 + 41.2530i 2.69987 + 1.68135i
\(603\) 32.0235i 1.30410i
\(604\) 14.1641i 0.576328i
\(605\) 0.147540 0.550625i 0.00599834 0.0223861i
\(606\) −6.31012 6.31012i −0.256331 0.256331i
\(607\) 20.4873 + 5.48956i 0.831554 + 0.222814i 0.649392 0.760454i \(-0.275024\pi\)
0.182163 + 0.983268i \(0.441690\pi\)
\(608\) 3.77973 + 6.54669i 0.153288 + 0.265503i
\(609\) −1.39195 5.19482i −0.0564045 0.210505i
\(610\) 0.415212i 0.0168114i
\(611\) −8.61542 + 14.9224i −0.348543 + 0.603694i
\(612\) 37.8788 35.2508i 1.53116 1.42493i
\(613\) 15.9420 0.643893 0.321947 0.946758i \(-0.395663\pi\)
0.321947 + 0.946758i \(0.395663\pi\)
\(614\) 6.46858 3.73464i 0.261051 0.150718i
\(615\) 0.0225688 + 0.0842279i 0.000910062 + 0.00339640i
\(616\) −11.1658 + 19.3397i −0.449881 + 0.779217i
\(617\) 11.8904 + 44.3756i 0.478690 + 1.78650i 0.606933 + 0.794753i \(0.292399\pi\)
−0.128243 + 0.991743i \(0.540934\pi\)
\(618\) 5.78089 + 5.78089i 0.232542 + 0.232542i
\(619\) −24.5498 + 6.57811i −0.986741 + 0.264397i −0.715881 0.698222i \(-0.753975\pi\)
−0.270860 + 0.962619i \(0.587308\pi\)
\(620\) −0.0630892 0.0364246i −0.00253372 0.00146285i
\(621\) −5.71409 + 3.29903i −0.229299 + 0.132386i
\(622\) 14.0307 52.3633i 0.562580 2.09958i
\(623\) −31.7360 31.7360i −1.27148 1.27148i
\(624\) 0.993400 0.993400i 0.0397678 0.0397678i
\(625\) 12.4770 + 21.6108i 0.499080 + 0.864433i
\(626\) −19.8381 5.31561i −0.792891 0.212454i
\(627\) −0.425019 0.245385i −0.0169736 0.00979972i
\(628\) 36.9276 63.9605i 1.47357 2.55230i
\(629\) 18.1604 28.9973i 0.724105 1.15620i
\(630\) −0.976123 + 1.69069i −0.0388897 + 0.0673589i
\(631\) −31.8020 18.3609i −1.26602 0.730936i −0.291786 0.956484i \(-0.594249\pi\)
−0.974232 + 0.225548i \(0.927583\pi\)
\(632\) 10.8273 + 40.4082i 0.430688 + 1.60735i
\(633\) 1.98486 + 3.43789i 0.0788913 + 0.136644i
\(634\) −56.4295 + 56.4295i −2.24110 + 2.24110i
\(635\) −0.0448141 + 0.167248i −0.00177839 + 0.00663705i
\(636\) 4.98538 1.33583i 0.197683 0.0529691i
\(637\) 20.9157i 0.828709i
\(638\) −10.6170 6.12975i −0.420333 0.242679i
\(639\) −6.79930 + 25.3753i −0.268976 + 1.00383i
\(640\) 0.240123 0.896152i 0.00949170 0.0354235i
\(641\) 25.1923 25.1923i 0.995037 0.995037i −0.00495076 0.999988i \(-0.501576\pi\)
0.999988 + 0.00495076i \(0.00157588\pi\)
\(642\) −1.64970 2.85736i −0.0651083 0.112771i
\(643\) −5.73980 + 5.73980i −0.226356 + 0.226356i −0.811168 0.584813i \(-0.801168\pi\)
0.584813 + 0.811168i \(0.301168\pi\)
\(644\) 115.783i 4.56250i
\(645\) −0.0682260 + 0.0158608i −0.00268640 + 0.000624520i
\(646\) 30.4142 6.98920i 1.19663 0.274986i
\(647\) 16.5913 0.652270 0.326135 0.945323i \(-0.394254\pi\)
0.326135 + 0.945323i \(0.394254\pi\)
\(648\) −41.9032 + 24.1928i −1.64611 + 0.950384i
\(649\) −5.30334 + 5.30334i −0.208174 + 0.208174i
\(650\) 8.30537 + 14.3853i 0.325764 + 0.564239i
\(651\) 0.275858 + 0.0739158i 0.0108117 + 0.00289699i
\(652\) −52.7009 + 14.1212i −2.06393 + 0.553027i
\(653\) −12.8656 12.8656i −0.503470 0.503470i 0.409044 0.912514i \(-0.365862\pi\)
−0.912514 + 0.409044i \(0.865862\pi\)
\(654\) 0.372580 + 0.215109i 0.0145690 + 0.00841143i
\(655\) 0.431472 0.249110i 0.0168590 0.00973355i
\(656\) 31.5767 + 31.5767i 1.23286 + 1.23286i
\(657\) −6.93207 + 25.8709i −0.270446 + 1.00932i
\(658\) 39.8691 + 148.794i 1.55426 + 5.80058i
\(659\) 18.9706 32.8581i 0.738991 1.27997i −0.213959 0.976843i \(-0.568636\pi\)
0.952950 0.303127i \(-0.0980306\pi\)
\(660\) −0.00982854 0.0366806i −0.000382576 0.00142779i
\(661\) 22.8098i 0.887198i −0.896225 0.443599i \(-0.853702\pi\)
0.896225 0.443599i \(-0.146298\pi\)
\(662\) 20.7246 35.8961i 0.805484 1.39514i
\(663\) −0.496168 0.935443i −0.0192696 0.0363296i
\(664\) 44.8362 + 77.6585i 1.73998 + 3.01374i
\(665\) −0.692628 + 0.399889i −0.0268590 + 0.0155070i
\(666\) −43.4129 + 43.4129i −1.68222 + 1.68222i
\(667\) −33.5504 −1.29908
\(668\) −32.0173 8.57901i −1.23879 0.331932i
\(669\) 0.369776 1.38002i 0.0142964 0.0533548i
\(670\) 1.44351 0.386788i 0.0557677 0.0149429i
\(671\) 2.18276 + 1.26022i 0.0842646 + 0.0486502i
\(672\) 2.29310i 0.0884582i
\(673\) −22.8774 + 6.12998i −0.881858 + 0.236293i −0.671209 0.741268i \(-0.734225\pi\)
−0.210650 + 0.977562i \(0.567558\pi\)
\(674\) 31.8161 8.52510i 1.22551 0.328375i
\(675\) 1.48776 + 5.55240i 0.0572639 + 0.213712i
\(676\) −23.7796 41.1875i −0.914600 1.58413i
\(677\) 7.85952 7.85952i 0.302066 0.302066i −0.539756 0.841822i \(-0.681483\pi\)
0.841822 + 0.539756i \(0.181483\pi\)
\(678\) 5.32468 3.07421i 0.204493 0.118064i
\(679\) −7.21409 + 12.4952i −0.276851 + 0.479520i
\(680\) 1.08021 + 0.676513i 0.0414241 + 0.0259431i
\(681\) −0.350481 + 0.607052i −0.0134305 + 0.0232623i
\(682\) 0.563791 0.325505i 0.0215887 0.0124642i
\(683\) 0.781766 + 0.209474i 0.0299135 + 0.00801529i 0.273745 0.961802i \(-0.411738\pi\)
−0.243831 + 0.969818i \(0.578404\pi\)
\(684\) −38.0377 −1.45441
\(685\) −0.397555 0.106525i −0.0151898 0.00407010i
\(686\) −73.3125 73.3125i −2.79908 2.79908i
\(687\) 0.760718 + 0.760718i 0.0290232 + 0.0290232i
\(688\) −26.1974 + 24.5043i −0.998767 + 0.934217i
\(689\) 8.40767i 0.320307i
\(690\) −0.108183 0.108183i −0.00411846 0.00411846i
\(691\) 0.0585297 0.218436i 0.00222657 0.00830968i −0.964804 0.262971i \(-0.915297\pi\)
0.967030 + 0.254662i \(0.0819641\pi\)
\(692\) 43.0392 43.0392i 1.63611 1.63611i
\(693\) −5.92530 10.2629i −0.225084 0.389856i
\(694\) 8.30363 + 2.22495i 0.315201 + 0.0844580i
\(695\) 0.221947 + 0.128141i 0.00841893 + 0.00486067i
\(696\) 6.30051 0.238820
\(697\) 29.7345 15.7715i 1.12627 0.597386i
\(698\) 29.1783 + 50.5383i 1.10441 + 1.91290i
\(699\) 1.40114i 0.0529961i
\(700\) 97.4339 + 26.1073i 3.68265 + 0.986764i
\(701\) 9.32688 16.1546i 0.352271 0.610152i −0.634376 0.773025i \(-0.718743\pi\)
0.986647 + 0.162873i \(0.0520760\pi\)
\(702\) 0.989726 + 3.69371i 0.0373548 + 0.139410i
\(703\) −24.2948 + 6.50976i −0.916294 + 0.245520i
\(704\) 2.79678 + 2.79678i 0.105408 + 0.105408i
\(705\) −0.119741 0.0691325i −0.00450971 0.00260368i
\(706\) 41.8517 + 24.1631i 1.57511 + 0.909391i
\(707\) 22.8479 85.2696i 0.859284 3.20689i
\(708\) 1.89002 7.05365i 0.0710313 0.265092i
\(709\) 13.4153 13.4153i 0.503823 0.503823i −0.408801 0.912624i \(-0.634053\pi\)
0.912624 + 0.408801i \(0.134053\pi\)
\(710\) −1.22596 −0.0460094
\(711\) −21.4433 5.74571i −0.804186 0.215481i
\(712\) 45.5352 26.2898i 1.70651 0.985251i
\(713\) 0.890804 1.54292i 0.0333609 0.0577827i
\(714\) −9.04990 2.77687i −0.338684 0.103922i
\(715\) 0.0618605 0.00231345
\(716\) 2.87963 + 1.66256i 0.107617 + 0.0621327i
\(717\) −0.298274 1.11317i −0.0111392 0.0415722i
\(718\) −9.48739 + 16.4326i −0.354066 + 0.613261i
\(719\) −13.9168 3.72900i −0.519010 0.139068i −0.0102013 0.999948i \(-0.503247\pi\)
−0.508809 + 0.860880i \(0.669914\pi\)
\(720\) −0.634543 0.634543i −0.0236480 0.0236480i
\(721\) −20.9317 + 78.1181i −0.779536 + 2.90927i
\(722\) 21.2222 + 12.2527i 0.789809 + 0.455996i
\(723\) 3.04380i 0.113200i
\(724\) 25.6482 6.87242i 0.953209 0.255412i
\(725\) −7.56509 + 28.2333i −0.280960 + 1.04856i
\(726\) −4.79099 1.28374i −0.177810 0.0476441i
\(727\) 12.3297 0.457283 0.228641 0.973511i \(-0.426572\pi\)
0.228641 + 0.973511i \(0.426572\pi\)
\(728\) 34.2128 + 9.16729i 1.26801 + 0.339763i
\(729\) 25.0109i 0.926329i
\(730\) −1.24990 −0.0462608
\(731\) 11.8647 + 24.2946i 0.438831 + 0.898570i
\(732\) −2.45404 −0.0907040
\(733\) 36.6330i 1.35307i 0.736410 + 0.676536i \(0.236520\pi\)
−0.736410 + 0.676536i \(0.763480\pi\)
\(734\) 32.8211 + 8.79438i 1.21145 + 0.324606i
\(735\) 0.167833 0.00619062
\(736\) −13.8178 3.70246i −0.509330 0.136474i
\(737\) −2.34790 + 8.76247i −0.0864858 + 0.322770i
\(738\) −58.3386 + 15.6318i −2.14747 + 0.575414i
\(739\) 4.94167i 0.181782i −0.995861 0.0908911i \(-0.971028\pi\)
0.995861 0.0908911i \(-0.0289715\pi\)
\(740\) −1.68545 0.973093i −0.0619583 0.0357716i
\(741\) −0.201465 + 0.751879i −0.00740101 + 0.0276210i
\(742\) 53.1489 + 53.1489i 1.95116 + 1.95116i
\(743\) −38.1353 10.2183i −1.39905 0.374874i −0.521045 0.853529i \(-0.674458\pi\)
−0.878003 + 0.478655i \(0.841124\pi\)
\(744\) −0.167286 + 0.289748i −0.00613301 + 0.0106227i
\(745\) 0.0543239 + 0.202740i 0.00199027 + 0.00742780i
\(746\) −28.2767 16.3255i −1.03528 0.597720i
\(747\) −47.5862 −1.74109
\(748\) −12.9491 + 6.86835i −0.473467 + 0.251132i
\(749\) 16.3193 28.2659i 0.596294 1.03281i
\(750\) −0.230934 + 0.133330i −0.00843253 + 0.00486853i
\(751\) 4.10928 + 1.10108i 0.149950 + 0.0401790i 0.333013 0.942922i \(-0.391935\pi\)
−0.183063 + 0.983101i \(0.558601\pi\)
\(752\) −70.8080 −2.58210
\(753\) −0.504949 + 0.504949i −0.0184013 + 0.0184013i
\(754\) −5.03264 + 18.7821i −0.183278 + 0.684003i
\(755\) −0.0479194 + 0.178837i −0.00174396 + 0.00650856i
\(756\) 20.1107 + 11.6109i 0.731418 + 0.422284i
\(757\)