Properties

Label 29.3.f.a.21.4
Level $29$
Weight $3$
Character 29.21
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 21.4
Character \(\chi\) \(=\) 29.21
Dual form 29.3.f.a.18.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.929596 - 2.65663i) q^{2} +(-1.45871 - 0.164357i) q^{3} +(-3.06622 - 2.44523i) q^{4} +(1.35861 + 2.82119i) q^{5} +(-1.79265 + 3.72247i) q^{6} +(2.26277 + 2.83742i) q^{7} +(0.186254 - 0.117031i) q^{8} +(-6.67353 - 1.52319i) q^{9} +O(q^{10})\) \(q+(0.929596 - 2.65663i) q^{2} +(-1.45871 - 0.164357i) q^{3} +(-3.06622 - 2.44523i) q^{4} +(1.35861 + 2.82119i) q^{5} +(-1.79265 + 3.72247i) q^{6} +(2.26277 + 2.83742i) q^{7} +(0.186254 - 0.117031i) q^{8} +(-6.67353 - 1.52319i) q^{9} +(8.75784 - 0.986771i) q^{10} +(9.83338 + 6.17872i) q^{11} +(4.07084 + 4.07084i) q^{12} +(-18.5672 + 4.23785i) q^{13} +(9.64144 - 3.37369i) q^{14} +(-1.51814 - 4.33860i) q^{15} +(-3.62854 - 15.8977i) q^{16} +(-12.3318 + 12.3318i) q^{17} +(-10.2502 + 16.3132i) q^{18} +(-2.90153 - 25.7518i) q^{19} +(2.73265 - 11.9725i) q^{20} +(-2.83437 - 4.51088i) q^{21} +(25.5557 - 20.3800i) q^{22} +(9.50107 + 4.57547i) q^{23} +(-0.290926 + 0.140103i) q^{24} +(9.47395 - 11.8800i) q^{25} +(-6.00161 + 53.2658i) q^{26} +(21.9545 + 7.68221i) q^{27} -14.2332i q^{28} +(14.7201 - 24.9864i) q^{29} -12.9373 q^{30} +(-8.22632 + 23.5095i) q^{31} +(-44.7330 - 5.04020i) q^{32} +(-13.3285 - 10.6292i) q^{33} +(21.2975 + 44.2247i) q^{34} +(-4.93068 + 10.2387i) q^{35} +(16.7380 + 20.9888i) q^{36} +(-25.3173 + 15.9079i) q^{37} +(-71.1102 - 16.2304i) q^{38} +(27.7807 - 3.13014i) q^{39} +(0.583216 + 0.366459i) q^{40} +(36.7111 + 36.7111i) q^{41} +(-14.6186 + 3.33659i) q^{42} +(37.8059 - 13.2289i) q^{43} +(-15.0429 - 42.9902i) q^{44} +(-4.76954 - 20.8967i) q^{45} +(20.9875 - 20.9875i) q^{46} +(16.7697 - 26.6888i) q^{47} +(2.68009 + 23.7865i) q^{48} +(7.97269 - 34.9306i) q^{49} +(-22.7537 - 36.2124i) q^{50} +(20.0154 - 15.9617i) q^{51} +(67.2937 + 32.4070i) q^{52} +(-47.4028 + 22.8280i) q^{53} +(40.8176 - 51.1836i) q^{54} +(-4.07159 + 36.1364i) q^{55} +(0.753518 + 0.263667i) q^{56} +38.0413i q^{57} +(-52.6958 - 62.3332i) q^{58} +2.51722 q^{59} +(-5.95392 + 17.0153i) q^{60} +(-29.2057 - 3.29069i) q^{61} +(54.8089 + 43.7086i) q^{62} +(-10.7787 - 22.3822i) q^{63} +(-26.6731 + 55.3872i) q^{64} +(-37.1815 - 46.6241i) q^{65} +(-40.6279 + 25.5282i) q^{66} +(-127.279 - 29.0506i) q^{67} +(67.9662 - 7.65795i) q^{68} +(-13.1073 - 8.23586i) q^{69} +(22.6168 + 22.6168i) q^{70} +(73.2856 - 16.7270i) q^{71} +(-1.42124 + 0.497312i) q^{72} +(8.81836 + 25.2014i) q^{73} +(18.7267 + 82.0469i) q^{74} +(-15.7723 + 15.7723i) q^{75} +(-54.0723 + 86.0556i) q^{76} +(4.71902 + 41.8825i) q^{77} +(17.5092 - 76.7129i) q^{78} +(51.2212 + 81.5181i) q^{79} +(39.9206 - 31.8356i) q^{80} +(24.7428 + 11.9155i) q^{81} +(131.654 - 63.4013i) q^{82} +(1.49463 - 1.87421i) q^{83} +(-2.33932 + 20.7621i) q^{84} +(-51.5446 - 18.0362i) q^{85} -112.734i q^{86} +(-25.5791 + 34.0285i) q^{87} +2.55462 q^{88} +(-28.8259 + 82.3798i) q^{89} +(-59.9487 - 6.75460i) q^{90} +(-54.0378 - 43.0937i) q^{91} +(-17.9443 - 37.2617i) q^{92} +(15.8638 - 32.9414i) q^{93} +(-55.3133 - 69.3607i) q^{94} +(68.7086 - 43.1725i) q^{95} +(64.4241 + 14.7044i) q^{96} +(-57.2559 + 6.45119i) q^{97} +(-85.3865 - 53.6519i) q^{98} +(-56.2120 - 56.2120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{17}{28}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.929596 2.65663i 0.464798 1.32832i −0.438280 0.898839i \(-0.644412\pi\)
0.903078 0.429478i \(-0.141302\pi\)
\(3\) −1.45871 0.164357i −0.486237 0.0547857i −0.134557 0.990906i \(-0.542961\pi\)
−0.351680 + 0.936120i \(0.614390\pi\)
\(4\) −3.06622 2.44523i −0.766556 0.611308i
\(5\) 1.35861 + 2.82119i 0.271723 + 0.564239i 0.991521 0.129945i \(-0.0414800\pi\)
−0.719798 + 0.694183i \(0.755766\pi\)
\(6\) −1.79265 + 3.72247i −0.298775 + 0.620412i
\(7\) 2.26277 + 2.83742i 0.323252 + 0.405346i 0.916732 0.399504i \(-0.130817\pi\)
−0.593479 + 0.804849i \(0.702246\pi\)
\(8\) 0.186254 0.117031i 0.0232818 0.0146289i
\(9\) −6.67353 1.52319i −0.741503 0.169243i
\(10\) 8.75784 0.986771i 0.875784 0.0986771i
\(11\) 9.83338 + 6.17872i 0.893944 + 0.561702i 0.898836 0.438286i \(-0.144414\pi\)
−0.00489180 + 0.999988i \(0.501557\pi\)
\(12\) 4.07084 + 4.07084i 0.339237 + 0.339237i
\(13\) −18.5672 + 4.23785i −1.42825 + 0.325988i −0.865611 0.500717i \(-0.833070\pi\)
−0.562636 + 0.826705i \(0.690213\pi\)
\(14\) 9.64144 3.37369i 0.688675 0.240978i
\(15\) −1.51814 4.33860i −0.101209 0.289240i
\(16\) −3.62854 15.8977i −0.226784 0.993604i
\(17\) −12.3318 + 12.3318i −0.725401 + 0.725401i −0.969700 0.244299i \(-0.921442\pi\)
0.244299 + 0.969700i \(0.421442\pi\)
\(18\) −10.2502 + 16.3132i −0.569458 + 0.906287i
\(19\) −2.90153 25.7518i −0.152712 1.35536i −0.803141 0.595789i \(-0.796839\pi\)
0.650429 0.759567i \(-0.274589\pi\)
\(20\) 2.73265 11.9725i 0.136633 0.598627i
\(21\) −2.83437 4.51088i −0.134970 0.214804i
\(22\) 25.5557 20.3800i 1.16162 0.926362i
\(23\) 9.50107 + 4.57547i 0.413090 + 0.198934i 0.628874 0.777508i \(-0.283516\pi\)
−0.215784 + 0.976441i \(0.569231\pi\)
\(24\) −0.290926 + 0.140103i −0.0121219 + 0.00583761i
\(25\) 9.47395 11.8800i 0.378958 0.475198i
\(26\) −6.00161 + 53.2658i −0.230831 + 2.04868i
\(27\) 21.9545 + 7.68221i 0.813129 + 0.284526i
\(28\) 14.2332i 0.508327i
\(29\) 14.7201 24.9864i 0.507590 0.861599i
\(30\) −12.9373 −0.431244
\(31\) −8.22632 + 23.5095i −0.265365 + 0.758370i 0.731687 + 0.681641i \(0.238733\pi\)
−0.997052 + 0.0767289i \(0.975552\pi\)
\(32\) −44.7330 5.04020i −1.39791 0.157506i
\(33\) −13.3285 10.6292i −0.403895 0.322096i
\(34\) 21.2975 + 44.2247i 0.626397 + 1.30073i
\(35\) −4.93068 + 10.2387i −0.140877 + 0.292533i
\(36\) 16.7380 + 20.9888i 0.464944 + 0.583021i
\(37\) −25.3173 + 15.9079i −0.684253 + 0.429944i −0.828794 0.559554i \(-0.810972\pi\)
0.144541 + 0.989499i \(0.453829\pi\)
\(38\) −71.1102 16.2304i −1.87132 0.427117i
\(39\) 27.7807 3.13014i 0.712326 0.0802599i
\(40\) 0.583216 + 0.366459i 0.0145804 + 0.00916148i
\(41\) 36.7111 + 36.7111i 0.895392 + 0.895392i 0.995024 0.0996326i \(-0.0317668\pi\)
−0.0996326 + 0.995024i \(0.531767\pi\)
\(42\) −14.6186 + 3.33659i −0.348061 + 0.0794427i
\(43\) 37.8059 13.2289i 0.879208 0.307648i 0.147333 0.989087i \(-0.452931\pi\)
0.731875 + 0.681439i \(0.238645\pi\)
\(44\) −15.0429 42.9902i −0.341885 0.977051i
\(45\) −4.76954 20.8967i −0.105990 0.464372i
\(46\) 20.9875 20.9875i 0.456250 0.456250i
\(47\) 16.7697 26.6888i 0.356802 0.567847i −0.619302 0.785153i \(-0.712584\pi\)
0.976103 + 0.217306i \(0.0697270\pi\)
\(48\) 2.68009 + 23.7865i 0.0558353 + 0.495552i
\(49\) 7.97269 34.9306i 0.162708 0.712870i
\(50\) −22.7537 36.2124i −0.455075 0.724247i
\(51\) 20.0154 15.9617i 0.392458 0.312975i
\(52\) 67.2937 + 32.4070i 1.29411 + 0.623211i
\(53\) −47.4028 + 22.8280i −0.894393 + 0.430717i −0.823861 0.566792i \(-0.808184\pi\)
−0.0705326 + 0.997509i \(0.522470\pi\)
\(54\) 40.8176 51.1836i 0.755881 0.947845i
\(55\) −4.07159 + 36.1364i −0.0740289 + 0.657025i
\(56\) 0.753518 + 0.263667i 0.0134557 + 0.00470835i
\(57\) 38.0413i 0.667391i
\(58\) −52.6958 62.3332i −0.908549 1.07471i
\(59\) 2.51722 0.0426647 0.0213324 0.999772i \(-0.493209\pi\)
0.0213324 + 0.999772i \(0.493209\pi\)
\(60\) −5.95392 + 17.0153i −0.0992320 + 0.283589i
\(61\) −29.2057 3.29069i −0.478781 0.0539457i −0.130724 0.991419i \(-0.541730\pi\)
−0.348058 + 0.937473i \(0.613159\pi\)
\(62\) 54.8089 + 43.7086i 0.884014 + 0.704977i
\(63\) −10.7787 22.3822i −0.171091 0.355273i
\(64\) −26.6731 + 55.3872i −0.416766 + 0.865424i
\(65\) −37.1815 46.6241i −0.572023 0.717294i
\(66\) −40.6279 + 25.5282i −0.615575 + 0.386791i
\(67\) −127.279 29.0506i −1.89969 0.433591i −0.899690 0.436529i \(-0.856208\pi\)
−0.999996 + 0.00293826i \(0.999065\pi\)
\(68\) 67.9662 7.65795i 0.999503 0.112617i
\(69\) −13.1073 8.23586i −0.189961 0.119360i
\(70\) 22.6168 + 22.6168i 0.323098 + 0.323098i
\(71\) 73.2856 16.7270i 1.03219 0.235591i 0.327311 0.944917i \(-0.393858\pi\)
0.704881 + 0.709326i \(0.251000\pi\)
\(72\) −1.42124 + 0.497312i −0.0197394 + 0.00690711i
\(73\) 8.81836 + 25.2014i 0.120799 + 0.345225i 0.988366 0.152097i \(-0.0486026\pi\)
−0.867566 + 0.497322i \(0.834317\pi\)
\(74\) 18.7267 + 82.0469i 0.253063 + 1.10874i
\(75\) −15.7723 + 15.7723i −0.210297 + 0.210297i
\(76\) −54.0723 + 86.0556i −0.711477 + 1.13231i
\(77\) 4.71902 + 41.8825i 0.0612860 + 0.543928i
\(78\) 17.5092 76.7129i 0.224477 0.983499i
\(79\) 51.2212 + 81.5181i 0.648370 + 1.03188i 0.995564 + 0.0940819i \(0.0299916\pi\)
−0.347194 + 0.937793i \(0.612866\pi\)
\(80\) 39.9206 31.8356i 0.499008 0.397945i
\(81\) 24.7428 + 11.9155i 0.305467 + 0.147105i
\(82\) 131.654 63.4013i 1.60554 0.773187i
\(83\) 1.49463 1.87421i 0.0180076 0.0225808i −0.772746 0.634715i \(-0.781117\pi\)
0.790754 + 0.612134i \(0.209689\pi\)
\(84\) −2.33932 + 20.7621i −0.0278491 + 0.247167i
\(85\) −51.5446 18.0362i −0.606407 0.212191i
\(86\) 112.734i 1.31086i
\(87\) −25.5791 + 34.0285i −0.294012 + 0.391132i
\(88\) 2.55462 0.0290297
\(89\) −28.8259 + 82.3798i −0.323887 + 0.925615i 0.660689 + 0.750659i \(0.270264\pi\)
−0.984576 + 0.174956i \(0.944022\pi\)
\(90\) −59.9487 6.75460i −0.666097 0.0750511i
\(91\) −54.0378 43.0937i −0.593822 0.473558i
\(92\) −17.9443 37.2617i −0.195047 0.405019i
\(93\) 15.8638 32.9414i 0.170578 0.354209i
\(94\) −55.3133 69.3607i −0.588440 0.737880i
\(95\) 68.7086 43.1725i 0.723249 0.454447i
\(96\) 64.4241 + 14.7044i 0.671084 + 0.153171i
\(97\) −57.2559 + 6.45119i −0.590267 + 0.0665071i −0.402046 0.915620i \(-0.631701\pi\)
−0.188221 + 0.982127i \(0.560272\pi\)
\(98\) −85.3865 53.6519i −0.871290 0.547468i
\(99\) −56.2120 56.2120i −0.567798 0.567798i
\(100\) −58.0985 + 13.2606i −0.580985 + 0.132606i
\(101\) 172.564 60.3829i 1.70856 0.597850i 0.713823 0.700326i \(-0.246962\pi\)
0.994736 + 0.102476i \(0.0326764\pi\)
\(102\) −23.7982 68.0114i −0.233316 0.666779i
\(103\) 24.0982 + 105.581i 0.233963 + 1.02506i 0.946318 + 0.323238i \(0.104772\pi\)
−0.712355 + 0.701819i \(0.752371\pi\)
\(104\) −2.96227 + 2.96227i −0.0284833 + 0.0284833i
\(105\) 8.87524 14.1249i 0.0845260 0.134522i
\(106\) 16.5801 + 147.153i 0.156416 + 1.38823i
\(107\) −12.9174 + 56.5950i −0.120724 + 0.528925i 0.878011 + 0.478640i \(0.158870\pi\)
−0.998735 + 0.0502849i \(0.983987\pi\)
\(108\) −48.5326 77.2391i −0.449376 0.715177i
\(109\) −82.1016 + 65.4738i −0.753225 + 0.600677i −0.922997 0.384806i \(-0.874268\pi\)
0.169772 + 0.985483i \(0.445697\pi\)
\(110\) 92.2161 + 44.4089i 0.838328 + 0.403718i
\(111\) 39.5453 19.0440i 0.356264 0.171568i
\(112\) 36.8978 46.2684i 0.329445 0.413111i
\(113\) 13.1858 117.027i 0.116688 1.03564i −0.789788 0.613380i \(-0.789809\pi\)
0.906476 0.422257i \(-0.138762\pi\)
\(114\) 101.062 + 35.3630i 0.886506 + 0.310202i
\(115\) 33.0207i 0.287136i
\(116\) −106.233 + 40.6197i −0.915798 + 0.350170i
\(117\) 130.364 1.11422
\(118\) 2.34000 6.68733i 0.0198305 0.0566722i
\(119\) −62.8945 7.08651i −0.528526 0.0595505i
\(120\) −0.790514 0.630414i −0.00658761 0.00525345i
\(121\) 6.01884 + 12.4983i 0.0497425 + 0.103291i
\(122\) −35.8916 + 74.5297i −0.294194 + 0.610899i
\(123\) −47.5171 59.5845i −0.386318 0.484427i
\(124\) 82.7098 51.9700i 0.667014 0.419113i
\(125\) 122.707 + 28.0070i 0.981653 + 0.224056i
\(126\) −69.4812 + 7.82865i −0.551438 + 0.0621322i
\(127\) 158.239 + 99.4283i 1.24598 + 0.782900i 0.983301 0.181984i \(-0.0582520\pi\)
0.262676 + 0.964884i \(0.415395\pi\)
\(128\) −4.97642 4.97642i −0.0388783 0.0388783i
\(129\) −57.3222 + 13.0834i −0.444358 + 0.101422i
\(130\) −158.427 + 55.4360i −1.21867 + 0.426430i
\(131\) −40.7754 116.530i −0.311263 0.889538i −0.988155 0.153456i \(-0.950960\pi\)
0.676893 0.736082i \(-0.263326\pi\)
\(132\) 14.8775 + 65.1827i 0.112709 + 0.493809i
\(133\) 66.5031 66.5031i 0.500023 0.500023i
\(134\) −195.495 + 311.128i −1.45892 + 2.32185i
\(135\) 8.15470 + 72.3750i 0.0604052 + 0.536111i
\(136\) −0.853645 + 3.74006i −0.00627680 + 0.0275005i
\(137\) 5.17515 + 8.23621i 0.0377748 + 0.0601183i 0.865078 0.501638i \(-0.167269\pi\)
−0.827303 + 0.561756i \(0.810126\pi\)
\(138\) −34.0642 + 27.1653i −0.246842 + 0.196850i
\(139\) −140.076 67.4569i −1.00774 0.485302i −0.144181 0.989551i \(-0.546055\pi\)
−0.863558 + 0.504250i \(0.831769\pi\)
\(140\) 40.1545 19.3374i 0.286818 0.138124i
\(141\) −28.8486 + 36.1750i −0.204600 + 0.256561i
\(142\) 23.6886 210.242i 0.166821 1.48058i
\(143\) −208.763 73.0493i −1.45988 0.510835i
\(144\) 111.620i 0.775142i
\(145\) 90.4903 + 7.58143i 0.624071 + 0.0522858i
\(146\) 75.1484 0.514715
\(147\) −17.3709 + 49.6433i −0.118170 + 0.337710i
\(148\) 116.527 + 13.1295i 0.787346 + 0.0887126i
\(149\) −90.7584 72.3774i −0.609117 0.485754i 0.269680 0.962950i \(-0.413082\pi\)
−0.878797 + 0.477196i \(0.841653\pi\)
\(150\) 27.2394 + 56.5631i 0.181596 + 0.377087i
\(151\) 69.0723 143.430i 0.457432 0.949868i −0.536910 0.843640i \(-0.680408\pi\)
0.994342 0.106228i \(-0.0338773\pi\)
\(152\) −3.55419 4.45681i −0.0233828 0.0293211i
\(153\) 101.080 63.5130i 0.660656 0.415118i
\(154\) 115.653 + 26.3971i 0.750994 + 0.171409i
\(155\) −77.5011 + 8.73228i −0.500007 + 0.0563373i
\(156\) −92.8358 58.3326i −0.595101 0.373927i
\(157\) −51.5792 51.5792i −0.328530 0.328530i 0.523497 0.852027i \(-0.324627\pi\)
−0.852027 + 0.523497i \(0.824627\pi\)
\(158\) 264.179 60.2971i 1.67202 0.381627i
\(159\) 72.8990 25.5085i 0.458484 0.160431i
\(160\) −46.5555 133.048i −0.290972 0.831551i
\(161\) 8.51617 + 37.3118i 0.0528954 + 0.231750i
\(162\) 54.6559 54.6559i 0.337382 0.337382i
\(163\) 56.0119 89.1425i 0.343632 0.546886i −0.629540 0.776968i \(-0.716757\pi\)
0.973171 + 0.230082i \(0.0738994\pi\)
\(164\) −22.7973 202.331i −0.139008 1.23373i
\(165\) 11.8785 52.0433i 0.0719912 0.315414i
\(166\) −3.58968 5.71294i −0.0216246 0.0344153i
\(167\) −74.9501 + 59.7707i −0.448803 + 0.357908i −0.821658 0.569981i \(-0.806950\pi\)
0.372855 + 0.927890i \(0.378379\pi\)
\(168\) −1.05583 0.508461i −0.00628470 0.00302655i
\(169\) 174.518 84.0437i 1.03265 0.497300i
\(170\) −95.8313 + 120.169i −0.563713 + 0.706874i
\(171\) −19.8614 + 176.275i −0.116148 + 1.03085i
\(172\) −148.269 51.8816i −0.862029 0.301637i
\(173\) 296.080i 1.71145i 0.517435 + 0.855723i \(0.326887\pi\)
−0.517435 + 0.855723i \(0.673113\pi\)
\(174\) 66.6231 + 99.5870i 0.382891 + 0.572339i
\(175\) 55.1458 0.315119
\(176\) 62.5465 178.748i 0.355378 1.01561i
\(177\) −3.67189 0.413723i −0.0207452 0.00233742i
\(178\) 192.056 + 153.160i 1.07897 + 0.860448i
\(179\) −74.3652 154.421i −0.415448 0.862687i −0.998728 0.0504158i \(-0.983945\pi\)
0.583280 0.812271i \(-0.301769\pi\)
\(180\) −36.4729 + 75.7367i −0.202627 + 0.420759i
\(181\) −10.7572 13.4891i −0.0594319 0.0745252i 0.751227 0.660044i \(-0.229462\pi\)
−0.810659 + 0.585519i \(0.800891\pi\)
\(182\) −164.718 + 103.499i −0.905042 + 0.568675i
\(183\) 42.0618 + 9.60032i 0.229846 + 0.0524608i
\(184\) 2.30509 0.259721i 0.0125277 0.00141153i
\(185\) −79.2759 49.8123i −0.428518 0.269256i
\(186\) −72.7664 72.7664i −0.391217 0.391217i
\(187\) −197.458 + 45.0686i −1.05593 + 0.241008i
\(188\) −116.680 + 40.8281i −0.620638 + 0.217171i
\(189\) 27.8802 + 79.6771i 0.147514 + 0.421572i
\(190\) −50.8222 222.667i −0.267485 1.17193i
\(191\) −169.220 + 169.220i −0.885969 + 0.885969i −0.994133 0.108164i \(-0.965503\pi\)
0.108164 + 0.994133i \(0.465503\pi\)
\(192\) 48.0115 76.4099i 0.250060 0.397968i
\(193\) 23.1678 + 205.620i 0.120040 + 1.06539i 0.898889 + 0.438177i \(0.144376\pi\)
−0.778848 + 0.627212i \(0.784196\pi\)
\(194\) −36.0864 + 158.105i −0.186012 + 0.814973i
\(195\) 46.5740 + 74.1221i 0.238841 + 0.380113i
\(196\) −109.859 + 87.6100i −0.560508 + 0.446990i
\(197\) 80.4002 + 38.7187i 0.408123 + 0.196542i 0.626670 0.779285i \(-0.284417\pi\)
−0.218547 + 0.975826i \(0.570132\pi\)
\(198\) −201.589 + 97.0802i −1.01813 + 0.490304i
\(199\) 6.40517 8.03183i 0.0321868 0.0403609i −0.765478 0.643463i \(-0.777497\pi\)
0.797664 + 0.603102i \(0.206069\pi\)
\(200\) 0.374237 3.32145i 0.00187119 0.0166072i
\(201\) 180.888 + 63.2956i 0.899943 + 0.314904i
\(202\) 514.572i 2.54739i
\(203\) 104.205 14.7712i 0.513325 0.0727644i
\(204\) −100.402 −0.492165
\(205\) −53.6928 + 153.445i −0.261916 + 0.748513i
\(206\) 302.891 + 34.1277i 1.47035 + 0.165668i
\(207\) −56.4363 45.0065i −0.272639 0.217423i
\(208\) 134.744 + 279.798i 0.647807 + 1.34518i
\(209\) 130.581 271.155i 0.624791 1.29739i
\(210\) −29.2742 36.7086i −0.139401 0.174803i
\(211\) 11.7610 7.38993i 0.0557394 0.0350234i −0.503874 0.863777i \(-0.668092\pi\)
0.559613 + 0.828754i \(0.310950\pi\)
\(212\) 201.167 + 45.9151i 0.948903 + 0.216581i
\(213\) −109.652 + 12.3548i −0.514797 + 0.0580037i
\(214\) 138.344 + 86.9273i 0.646468 + 0.406202i
\(215\) 88.6849 + 88.6849i 0.412488 + 0.412488i
\(216\) 4.98818 1.13852i 0.0230934 0.00527092i
\(217\) −85.3205 + 29.8549i −0.393182 + 0.137580i
\(218\) 97.6186 + 278.978i 0.447792 + 1.27972i
\(219\) −8.72140 38.2109i −0.0398237 0.174479i
\(220\) 100.846 100.846i 0.458392 0.458392i
\(221\) 176.707 281.228i 0.799580 1.27252i
\(222\) −13.8318 122.760i −0.0623053 0.552975i
\(223\) 23.3723 102.401i 0.104808 0.459196i −0.895103 0.445860i \(-0.852898\pi\)
0.999911 0.0133356i \(-0.00424497\pi\)
\(224\) −86.9192 138.331i −0.388032 0.617550i
\(225\) −81.3201 + 64.8506i −0.361423 + 0.288225i
\(226\) −298.640 143.818i −1.32142 0.636361i
\(227\) −278.194 + 133.971i −1.22553 + 0.590182i −0.930845 0.365414i \(-0.880927\pi\)
−0.294680 + 0.955596i \(0.595213\pi\)
\(228\) 93.0197 116.643i 0.407981 0.511592i
\(229\) 9.13045 81.0350i 0.0398710 0.353865i −0.957898 0.287108i \(-0.907306\pi\)
0.997769 0.0667570i \(-0.0212652\pi\)
\(230\) 87.7238 + 30.6959i 0.381408 + 0.133460i
\(231\) 61.8700i 0.267835i
\(232\) −0.182503 6.37654i −0.000786651 0.0274851i
\(233\) −155.459 −0.667206 −0.333603 0.942714i \(-0.608265\pi\)
−0.333603 + 0.942714i \(0.608265\pi\)
\(234\) 121.186 346.329i 0.517888 1.48004i
\(235\) 98.0778 + 11.0507i 0.417352 + 0.0470243i
\(236\) −7.71835 6.15518i −0.0327049 0.0260813i
\(237\) −61.3189 127.330i −0.258729 0.537257i
\(238\) −77.2928 + 160.500i −0.324760 + 0.674370i
\(239\) 190.666 + 239.088i 0.797767 + 1.00037i 0.999780 + 0.0209848i \(0.00668015\pi\)
−0.202013 + 0.979383i \(0.564748\pi\)
\(240\) −63.4650 + 39.8777i −0.264438 + 0.166157i
\(241\) −404.989 92.4361i −1.68045 0.383552i −0.727366 0.686250i \(-0.759256\pi\)
−0.953087 + 0.302698i \(0.902113\pi\)
\(242\) 38.7984 4.37153i 0.160324 0.0180642i
\(243\) −211.385 132.822i −0.869899 0.546594i
\(244\) 81.5046 + 81.5046i 0.334035 + 0.334035i
\(245\) 109.378 24.9648i 0.446440 0.101897i
\(246\) −202.466 + 70.8459i −0.823032 + 0.287991i
\(247\) 163.005 + 465.842i 0.659941 + 1.88600i
\(248\) 1.21916 + 5.34148i 0.00491596 + 0.0215382i
\(249\) −2.48827 + 2.48827i −0.00999306 + 0.00999306i
\(250\) 188.472 299.951i 0.753887 1.19980i
\(251\) −45.9006 407.379i −0.182871 1.62302i −0.664944 0.746894i \(-0.731544\pi\)
0.482073 0.876131i \(-0.339884\pi\)
\(252\) −21.6798 + 94.9853i −0.0860309 + 0.376926i
\(253\) 65.1571 + 103.697i 0.257538 + 0.409869i
\(254\) 411.243 327.955i 1.61907 1.29116i
\(255\) 72.2243 + 34.7814i 0.283232 + 0.136398i
\(256\) −239.395 + 115.287i −0.935138 + 0.450339i
\(257\) −29.1320 + 36.5304i −0.113354 + 0.142142i −0.835272 0.549838i \(-0.814690\pi\)
0.721917 + 0.691979i \(0.243261\pi\)
\(258\) −18.5286 + 164.446i −0.0718165 + 0.637389i
\(259\) −102.425 35.8400i −0.395463 0.138378i
\(260\) 233.877i 0.899527i
\(261\) −136.294 + 144.326i −0.522199 + 0.552972i
\(262\) −347.481 −1.32626
\(263\) 9.56028 27.3217i 0.0363509 0.103885i −0.924278 0.381721i \(-0.875332\pi\)
0.960628 + 0.277836i \(0.0896172\pi\)
\(264\) −3.72645 0.419870i −0.0141153 0.00159042i
\(265\) −128.804 102.718i −0.486054 0.387615i
\(266\) −114.853 238.495i −0.431779 0.896599i
\(267\) 55.5884 115.431i 0.208196 0.432324i
\(268\) 319.230 + 400.302i 1.19116 + 1.49366i
\(269\) −56.5317 + 35.5212i −0.210155 + 0.132049i −0.632997 0.774154i \(-0.718175\pi\)
0.422842 + 0.906203i \(0.361033\pi\)
\(270\) 199.854 + 45.6154i 0.740201 + 0.168946i
\(271\) 309.195 34.8379i 1.14094 0.128553i 0.478794 0.877927i \(-0.341074\pi\)
0.662147 + 0.749374i \(0.269646\pi\)
\(272\) 240.793 + 151.301i 0.885270 + 0.556252i
\(273\) 71.7428 + 71.7428i 0.262794 + 0.262794i
\(274\) 26.6914 6.09213i 0.0974138 0.0222341i
\(275\) 166.564 58.2833i 0.605687 0.211939i
\(276\) 20.0513 + 57.3034i 0.0726497 + 0.207621i
\(277\) −55.0697 241.276i −0.198807 0.871032i −0.971648 0.236432i \(-0.924022\pi\)
0.772841 0.634600i \(-0.218835\pi\)
\(278\) −309.422 + 309.422i −1.11303 + 1.11303i
\(279\) 90.7079 144.361i 0.325118 0.517422i
\(280\) 0.279884 + 2.48404i 0.000999587 + 0.00887158i
\(281\) −45.2593 + 198.294i −0.161065 + 0.705672i 0.828308 + 0.560273i \(0.189304\pi\)
−0.989373 + 0.145399i \(0.953553\pi\)
\(282\) 69.2862 + 110.268i 0.245696 + 0.391023i
\(283\) 231.637 184.725i 0.818506 0.652737i −0.121994 0.992531i \(-0.538929\pi\)
0.940500 + 0.339794i \(0.110357\pi\)
\(284\) −265.611 127.912i −0.935251 0.450393i
\(285\) −107.322 + 51.6834i −0.376567 + 0.181345i
\(286\) −388.131 + 486.700i −1.35710 + 1.70175i
\(287\) −21.0961 + 187.233i −0.0735057 + 0.652381i
\(288\) 290.850 + 101.773i 1.00989 + 0.353377i
\(289\) 15.1471i 0.0524120i
\(290\) 104.261 233.352i 0.359519 0.804661i
\(291\) 84.5800 0.290653
\(292\) 34.5842 98.8361i 0.118439 0.338480i
\(293\) 10.2359 + 1.15331i 0.0349349 + 0.00393622i 0.129415 0.991591i \(-0.458690\pi\)
−0.0944797 + 0.995527i \(0.530119\pi\)
\(294\) 115.736 + 92.2964i 0.393660 + 0.313933i
\(295\) 3.41993 + 7.10156i 0.0115930 + 0.0240731i
\(296\) −2.85374 + 5.92585i −0.00964101 + 0.0200198i
\(297\) 168.421 + 211.193i 0.567073 + 0.711087i
\(298\) −276.649 + 173.830i −0.928352 + 0.583322i
\(299\) −195.799 44.6897i −0.654845 0.149464i
\(300\) 86.9284 9.79447i 0.289761 0.0326482i
\(301\) 123.082 + 77.3375i 0.408910 + 0.256935i
\(302\) −316.832 316.832i −1.04911 1.04911i
\(303\) −261.646 + 59.7190i −0.863518 + 0.197092i
\(304\) −398.865 + 139.569i −1.31206 + 0.459108i
\(305\) −30.3956 86.8656i −0.0996576 0.284805i
\(306\) −74.7668 327.575i −0.244336 1.07051i
\(307\) 282.559 282.559i 0.920388 0.920388i −0.0766689 0.997057i \(-0.524428\pi\)
0.997057 + 0.0766689i \(0.0244284\pi\)
\(308\) 87.9427 139.960i 0.285528 0.454416i
\(309\) −17.7993 157.973i −0.0576028 0.511239i
\(310\) −48.8463 + 214.009i −0.157569 + 0.690353i
\(311\) 19.7419 + 31.4191i 0.0634788 + 0.101026i 0.876956 0.480572i \(-0.159571\pi\)
−0.813477 + 0.581597i \(0.802428\pi\)
\(312\) 4.80796 3.83422i 0.0154101 0.0122892i
\(313\) −350.960 169.013i −1.12128 0.539979i −0.220990 0.975276i \(-0.570929\pi\)
−0.900287 + 0.435297i \(0.856643\pi\)
\(314\) −184.975 + 89.0793i −0.589092 + 0.283692i
\(315\) 48.5005 60.8176i 0.153970 0.193072i
\(316\) 42.2749 375.201i 0.133781 1.18734i
\(317\) 95.6338 + 33.4637i 0.301684 + 0.105564i 0.476876 0.878970i \(-0.341769\pi\)
−0.175192 + 0.984534i \(0.556055\pi\)
\(318\) 217.378i 0.683580i
\(319\) 299.132 154.749i 0.937719 0.485106i
\(320\) −192.496 −0.601551
\(321\) 28.1446 80.4326i 0.0876778 0.250569i
\(322\) 107.040 + 12.0605i 0.332423 + 0.0374551i
\(323\) 353.347 + 281.785i 1.09395 + 0.872399i
\(324\) −46.7308 97.0374i −0.144231 0.299498i
\(325\) −125.559 + 260.727i −0.386337 + 0.802237i
\(326\) −184.750 231.670i −0.566719 0.710643i
\(327\) 130.524 82.0134i 0.399154 0.250805i
\(328\) 11.1339 + 2.54125i 0.0339450 + 0.00774772i
\(329\) 113.673 12.8079i 0.345512 0.0389298i
\(330\) −127.218 79.9362i −0.385508 0.242231i
\(331\) 333.816 + 333.816i 1.00851 + 1.00851i 0.999963 + 0.00854394i \(0.00271965\pi\)
0.00854394 + 0.999963i \(0.497280\pi\)
\(332\) −9.16574 + 2.09202i −0.0276076 + 0.00630126i
\(333\) 193.187 67.5990i 0.580141 0.203000i
\(334\) 89.1155 + 254.677i 0.266813 + 0.762507i
\(335\) −90.9658 398.547i −0.271540 1.18969i
\(336\) −61.4278 + 61.4278i −0.182821 + 0.182821i
\(337\) 55.8513 88.8868i 0.165731 0.263759i −0.753525 0.657419i \(-0.771648\pi\)
0.919256 + 0.393660i \(0.128791\pi\)
\(338\) −61.0415 541.758i −0.180596 1.60283i
\(339\) −38.4685 + 168.541i −0.113476 + 0.497172i
\(340\) 113.944 + 181.342i 0.335131 + 0.533357i
\(341\) −226.151 + 180.349i −0.663199 + 0.528884i
\(342\) 449.834 + 216.629i 1.31530 + 0.633417i
\(343\) 277.373 133.576i 0.808668 0.389434i
\(344\) 5.49333 6.88842i 0.0159690 0.0200245i
\(345\) 5.42718 48.1676i 0.0157310 0.139616i
\(346\) 786.576 + 275.235i 2.27334 + 0.795476i
\(347\) 402.156i 1.15895i 0.814990 + 0.579475i \(0.196742\pi\)
−0.814990 + 0.579475i \(0.803258\pi\)
\(348\) 161.639 41.7923i 0.464479 0.120093i
\(349\) −260.433 −0.746226 −0.373113 0.927786i \(-0.621710\pi\)
−0.373113 + 0.927786i \(0.621710\pi\)
\(350\) 51.2633 146.502i 0.146467 0.418577i
\(351\) −440.190 49.5975i −1.25410 0.141303i
\(352\) −408.735 325.955i −1.16118 0.926009i
\(353\) −39.7236 82.4870i −0.112532 0.233674i 0.837095 0.547057i \(-0.184252\pi\)
−0.949627 + 0.313383i \(0.898538\pi\)
\(354\) −4.51249 + 9.37028i −0.0127471 + 0.0264697i
\(355\) 146.757 + 184.027i 0.413400 + 0.518387i
\(356\) 289.824 182.109i 0.814113 0.511541i
\(357\) 90.5802 + 20.6743i 0.253726 + 0.0579113i
\(358\) −479.369 + 54.0119i −1.33902 + 0.150871i
\(359\) 24.5403 + 15.4197i 0.0683573 + 0.0429517i 0.565777 0.824558i \(-0.308576\pi\)
−0.497420 + 0.867510i \(0.665719\pi\)
\(360\) −3.33392 3.33392i −0.00926090 0.00926090i
\(361\) −302.786 + 69.1088i −0.838741 + 0.191437i
\(362\) −45.8353 + 16.0385i −0.126617 + 0.0443052i
\(363\) −6.72557 19.2206i −0.0185278 0.0529493i
\(364\) 60.3179 + 264.270i 0.165709 + 0.726017i
\(365\) −59.1173 + 59.1173i −0.161965 + 0.161965i
\(366\) 64.6050 102.818i 0.176516 0.280924i
\(367\) −32.3885 287.455i −0.0882519 0.783257i −0.957412 0.288726i \(-0.906768\pi\)
0.869160 0.494531i \(-0.164660\pi\)
\(368\) 38.2644 167.647i 0.103979 0.455563i
\(369\) −189.074 300.910i −0.512397 0.815475i
\(370\) −206.028 + 164.302i −0.556832 + 0.444058i
\(371\) −172.034 82.8473i −0.463704 0.223308i
\(372\) −129.191 + 62.2152i −0.347288 + 0.167245i
\(373\) −14.6070 + 18.3167i −0.0391610 + 0.0491063i −0.801026 0.598629i \(-0.795712\pi\)
0.761865 + 0.647735i \(0.224284\pi\)
\(374\) −63.8258 + 566.470i −0.170657 + 1.51462i
\(375\) −174.390 61.0218i −0.465041 0.162725i
\(376\) 6.93349i 0.0184401i
\(377\) −167.423 + 526.309i −0.444093 + 1.39604i
\(378\) 237.590 0.628546
\(379\) −134.820 + 385.294i −0.355726 + 1.01661i 0.617463 + 0.786600i \(0.288160\pi\)
−0.973189 + 0.230007i \(0.926125\pi\)
\(380\) −316.243 35.6320i −0.832218 0.0937684i
\(381\) −214.483 171.045i −0.562949 0.448937i
\(382\) 292.249 + 606.862i 0.765050 + 1.58864i
\(383\) −38.8770 + 80.7290i −0.101507 + 0.210781i −0.945537 0.325515i \(-0.894462\pi\)
0.844030 + 0.536295i \(0.180177\pi\)
\(384\) 6.44124 + 8.07706i 0.0167741 + 0.0210340i
\(385\) −111.747 + 70.2154i −0.290252 + 0.182378i
\(386\) 567.794 + 129.595i 1.47097 + 0.335739i
\(387\) −272.449 + 30.6976i −0.704003 + 0.0793221i
\(388\) 191.334 + 120.223i 0.493129 + 0.309853i
\(389\) −76.5479 76.5479i −0.196781 0.196781i 0.601837 0.798619i \(-0.294436\pi\)
−0.798619 + 0.601837i \(0.794436\pi\)
\(390\) 240.210 54.8264i 0.615924 0.140581i
\(391\) −173.589 + 60.7415i −0.443962 + 0.155349i
\(392\) −2.60303 7.43904i −0.00664039 0.0189771i
\(393\) 40.3271 + 176.685i 0.102613 + 0.449579i
\(394\) 177.601 177.601i 0.450764 0.450764i
\(395\) −160.388 + 255.257i −0.406047 + 0.646220i
\(396\) 34.9072 + 309.810i 0.0881494 + 0.782348i
\(397\) 41.9153 183.643i 0.105580 0.462576i −0.894306 0.447457i \(-0.852330\pi\)
0.999886 0.0151197i \(-0.00481295\pi\)
\(398\) −15.3834 24.4825i −0.0386518 0.0615139i
\(399\) −107.939 + 86.0785i −0.270524 + 0.215736i
\(400\) −223.240 107.507i −0.558101 0.268767i
\(401\) 514.699 247.866i 1.28354 0.618120i 0.337242 0.941418i \(-0.390506\pi\)
0.946297 + 0.323298i \(0.104791\pi\)
\(402\) 336.306 421.715i 0.836583 1.04904i
\(403\) 53.1103 471.367i 0.131787 1.16965i
\(404\) −676.771 236.812i −1.67518 0.586169i
\(405\) 85.9928i 0.212328i
\(406\) 57.6270 290.566i 0.141938 0.715679i
\(407\) −347.246 −0.853184
\(408\) 1.85993 5.31537i 0.00455865 0.0130279i
\(409\) 711.156 + 80.1281i 1.73877 + 0.195912i 0.923612 0.383329i \(-0.125222\pi\)
0.815157 + 0.579241i \(0.196651\pi\)
\(410\) 357.735 + 285.284i 0.872524 + 0.695815i
\(411\) −6.19537 12.8648i −0.0150739 0.0313013i
\(412\) 184.279 382.660i 0.447280 0.928787i
\(413\) 5.69588 + 7.14241i 0.0137915 + 0.0172940i
\(414\) −172.029 + 108.093i −0.415528 + 0.261094i
\(415\) 7.31813 + 1.67031i 0.0176340 + 0.00402485i
\(416\) 851.927 95.9891i 2.04790 0.230743i
\(417\) 193.243 + 121.423i 0.463412 + 0.291181i
\(418\) −598.971 598.971i −1.43294 1.43294i
\(419\) 251.361 57.3714i 0.599906 0.136925i 0.0882256 0.996101i \(-0.471880\pi\)
0.511680 + 0.859176i \(0.329023\pi\)
\(420\) −61.7520 + 21.6080i −0.147029 + 0.0514475i
\(421\) −237.289 678.132i −0.563631 1.61077i −0.774029 0.633150i \(-0.781762\pi\)
0.210398 0.977616i \(-0.432524\pi\)
\(422\) −8.69934 38.1143i −0.0206146 0.0903183i
\(423\) −152.565 + 152.565i −0.360674 + 0.360674i
\(424\) −6.15740 + 9.79944i −0.0145222 + 0.0231119i
\(425\) 29.6704 + 263.332i 0.0698128 + 0.619606i
\(426\) −69.1097 + 302.789i −0.162229 + 0.710773i
\(427\) −56.7485 90.3148i −0.132901 0.211510i
\(428\) 177.995 141.947i 0.415877 0.331651i
\(429\) 292.519 + 140.870i 0.681862 + 0.328367i
\(430\) 318.044 153.162i 0.739638 0.356191i
\(431\) −90.8227 + 113.888i −0.210725 + 0.264241i −0.875950 0.482402i \(-0.839764\pi\)
0.665224 + 0.746643i \(0.268336\pi\)
\(432\) 42.4665 376.900i 0.0983020 0.872454i
\(433\) −521.407 182.448i −1.20417 0.421359i −0.347728 0.937595i \(-0.613047\pi\)
−0.856446 + 0.516237i \(0.827333\pi\)
\(434\) 254.418i 0.586217i
\(435\) −130.753 25.9319i −0.300582 0.0596135i
\(436\) 411.840 0.944588
\(437\) 90.2589 257.945i 0.206542 0.590264i
\(438\) −109.620 12.3512i −0.250274 0.0281991i
\(439\) 113.727 + 90.6945i 0.259060 + 0.206593i 0.744403 0.667730i \(-0.232734\pi\)
−0.485343 + 0.874324i \(0.661305\pi\)
\(440\) 3.47074 + 7.20707i 0.00788804 + 0.0163797i
\(441\) −106.412 + 220.967i −0.241297 + 0.501058i
\(442\) −582.852 730.874i −1.31867 1.65356i
\(443\) 658.122 413.526i 1.48560 0.933467i 0.487424 0.873166i \(-0.337937\pi\)
0.998180 0.0603010i \(-0.0192061\pi\)
\(444\) −167.822 38.3042i −0.377977 0.0862707i
\(445\) −271.573 + 30.5989i −0.610275 + 0.0687615i
\(446\) −250.314 157.283i −0.561242 0.352652i
\(447\) 120.494 + 120.494i 0.269563 + 0.269563i
\(448\) −217.512 + 49.6456i −0.485517 + 0.110816i
\(449\) 110.579 38.6934i 0.246279 0.0861769i −0.204317 0.978905i \(-0.565497\pi\)
0.450596 + 0.892728i \(0.351212\pi\)
\(450\) 96.6894 + 276.323i 0.214865 + 0.614050i
\(451\) 134.166 + 587.821i 0.297486 + 1.30337i
\(452\) −326.588 + 326.588i −0.722541 + 0.722541i
\(453\) −124.330 + 197.870i −0.274460 + 0.436800i
\(454\) 97.3043 + 863.599i 0.214327 + 1.90220i
\(455\) 48.1591 210.999i 0.105844 0.463734i
\(456\) 4.45202 + 7.08536i 0.00976321 + 0.0155381i
\(457\) −25.1967 + 20.0937i −0.0551351 + 0.0439688i −0.650670 0.759361i \(-0.725512\pi\)
0.595535 + 0.803330i \(0.296940\pi\)
\(458\) −206.793 99.5861i −0.451512 0.217437i
\(459\) −365.474 + 176.003i −0.796240 + 0.383449i
\(460\) 80.7431 101.249i 0.175529 0.220106i
\(461\) −73.6762 + 653.894i −0.159818 + 1.41843i 0.616138 + 0.787638i \(0.288696\pi\)
−0.775956 + 0.630787i \(0.782732\pi\)
\(462\) −164.366 57.5141i −0.355770 0.124489i
\(463\) 467.056i 1.00876i −0.863482 0.504380i \(-0.831721\pi\)
0.863482 0.504380i \(-0.168279\pi\)
\(464\) −450.637 143.352i −0.971201 0.308947i
\(465\) 114.487 0.246208
\(466\) −144.514 + 412.998i −0.310116 + 0.886261i
\(467\) 171.353 + 19.3068i 0.366922 + 0.0413422i 0.293501 0.955959i \(-0.405180\pi\)
0.0734213 + 0.997301i \(0.476608\pi\)
\(468\) −399.725 318.770i −0.854113 0.681132i
\(469\) −205.574 426.879i −0.438324 0.910189i
\(470\) 120.530 250.284i 0.256448 0.532519i
\(471\) 66.7618 + 83.7166i 0.141745 + 0.177742i
\(472\) 0.468843 0.294594i 0.000993312 0.000624139i
\(473\) 453.498 + 103.508i 0.958769 + 0.218833i
\(474\) −395.271 + 44.5363i −0.833904 + 0.0939585i
\(475\) −333.419 209.501i −0.701934 0.441055i
\(476\) 175.521 + 175.521i 0.368741 + 0.368741i
\(477\) 351.116 80.1398i 0.736091 0.168008i
\(478\) 812.411 284.275i 1.69960 0.594717i
\(479\) −18.6715 53.3602i −0.0389802 0.111399i 0.922748 0.385403i \(-0.125938\pi\)
−0.961729 + 0.274004i \(0.911652\pi\)
\(480\) 46.0436 + 201.730i 0.0959243 + 0.420272i
\(481\) 402.657 402.657i 0.837125 0.837125i
\(482\) −622.045 + 989.979i −1.29055 + 2.05390i
\(483\) −6.29017 55.8268i −0.0130231 0.115583i
\(484\) 12.1060 53.0399i 0.0250124 0.109587i
\(485\) −95.9887 152.765i −0.197915 0.314980i
\(486\) −549.363 + 438.102i −1.13038 + 0.901445i
\(487\) 715.207 + 344.426i 1.46860 + 0.707239i 0.985711 0.168443i \(-0.0538740\pi\)
0.482887 + 0.875683i \(0.339588\pi\)
\(488\) −5.82480 + 2.80508i −0.0119361 + 0.00574811i
\(489\) −96.3564 + 120.827i −0.197048 + 0.247090i
\(490\) 35.3549 313.784i 0.0721530 0.640375i
\(491\) −106.952 37.4241i −0.217825 0.0762202i 0.219160 0.975689i \(-0.429668\pi\)
−0.436985 + 0.899469i \(0.643954\pi\)
\(492\) 298.890i 0.607499i
\(493\) 126.601 + 489.653i 0.256798 + 0.993210i
\(494\) 1389.10 2.81195
\(495\) 82.2144 234.955i 0.166090 0.474657i
\(496\) 403.595 + 45.4743i 0.813700 + 0.0916820i
\(497\) 213.290 + 170.093i 0.429154 + 0.342239i
\(498\) 4.29734 + 8.92351i 0.00862919 + 0.0179187i
\(499\) −71.5047 + 148.481i −0.143296 + 0.297557i −0.960248 0.279148i \(-0.909948\pi\)
0.816952 + 0.576706i \(0.195662\pi\)
\(500\) −307.762 385.922i −0.615524 0.771843i
\(501\) 119.154 74.8695i 0.237833 0.149440i
\(502\) −1124.93 256.757i −2.24089 0.511468i
\(503\) −254.483 + 28.6734i −0.505931 + 0.0570048i −0.361241 0.932472i \(-0.617647\pi\)
−0.144690 + 0.989477i \(0.546218\pi\)
\(504\) −4.62701 2.90734i −0.00918057 0.00576854i
\(505\) 404.800 + 404.800i 0.801585 + 0.801585i
\(506\) 336.054 76.7022i 0.664139 0.151585i
\(507\) −268.385 + 93.9120i −0.529359 + 0.185231i
\(508\) −242.072 691.801i −0.476519 1.36181i
\(509\) 124.011 + 543.329i 0.243637 + 1.06744i 0.937677 + 0.347508i \(0.112972\pi\)
−0.694040 + 0.719937i \(0.744171\pi\)
\(510\) 159.541 159.541i 0.312825 0.312825i
\(511\) −51.5531 + 82.0463i −0.100887 + 0.160560i
\(512\) 80.5816 + 715.181i 0.157386 + 1.39684i
\(513\) 134.129 587.657i 0.261460 1.14553i
\(514\) 69.9669 + 111.352i 0.136122 + 0.216637i
\(515\) −265.124 + 211.429i −0.514804 + 0.410543i
\(516\) 207.755 + 100.049i 0.402625 + 0.193894i
\(517\) 329.806 158.826i 0.637922 0.307207i
\(518\) −190.427 + 238.788i −0.367620 + 0.460981i
\(519\) 48.6629 431.895i 0.0937628 0.832168i
\(520\) −12.3817 4.33254i −0.0238110 0.00833182i
\(521\) 656.379i 1.25985i −0.776658 0.629923i \(-0.783087\pi\)
0.776658 0.629923i \(-0.216913\pi\)
\(522\) 256.722 + 496.248i 0.491804 + 0.950666i
\(523\) 92.0379 0.175981 0.0879903 0.996121i \(-0.471956\pi\)
0.0879903 + 0.996121i \(0.471956\pi\)
\(524\) −159.915 + 457.011i −0.305181 + 0.872158i
\(525\) −80.4417 9.06361i −0.153222 0.0172640i
\(526\) −63.6965 50.7963i −0.121096 0.0965709i
\(527\) −188.469 391.360i −0.357626 0.742618i
\(528\) −120.616 + 250.461i −0.228439 + 0.474358i
\(529\) −260.491 326.645i −0.492421 0.617476i
\(530\) −392.620 + 246.700i −0.740793 + 0.465471i
\(531\) −16.7987 3.83420i −0.0316360 0.00722072i
\(532\) −366.529 + 41.2979i −0.688964 + 0.0776276i
\(533\) −837.198 526.046i −1.57073 0.986954i
\(534\) −254.982 254.982i −0.477494 0.477494i
\(535\) −177.215 + 40.4482i −0.331243 + 0.0756041i
\(536\) −27.1061 + 9.48484i −0.0505711 + 0.0176956i
\(537\) 83.0971 + 237.478i 0.154743 + 0.442231i
\(538\) 41.8152 + 183.204i 0.0777234 + 0.340528i
\(539\) 294.225 294.225i 0.545872 0.545872i
\(540\) 151.969 241.858i 0.281425 0.447885i
\(541\) 79.9713 + 709.765i 0.147821 + 1.31195i 0.820343 + 0.571872i \(0.193783\pi\)
−0.672522 + 0.740078i \(0.734789\pi\)
\(542\) 194.875 853.802i 0.359548 1.57528i
\(543\) 13.4746 + 21.4447i 0.0248151 + 0.0394929i
\(544\) 613.794 489.484i 1.12830 0.899787i
\(545\) −296.259 142.671i −0.543594 0.261781i
\(546\) 257.286 123.902i 0.471220 0.226928i
\(547\) 344.538 432.037i 0.629868 0.789830i −0.359827 0.933019i \(-0.617164\pi\)
0.989695 + 0.143189i \(0.0457357\pi\)
\(548\) 4.27126 37.9085i 0.00779427 0.0691761i
\(549\) 189.892 + 66.4462i 0.345888 + 0.121031i
\(550\) 496.679i 0.903053i
\(551\) −686.154 306.570i −1.24529 0.556389i
\(552\) −3.40515 −0.00616875
\(553\) −115.399 + 329.793i −0.208679 + 0.596370i
\(554\) −692.174 77.9893i −1.24941 0.140775i
\(555\) 107.454 + 85.6914i 0.193610 + 0.154399i
\(556\) 264.556 + 549.355i 0.475820 + 0.988049i
\(557\) 292.460 607.300i 0.525063 1.09030i −0.454792 0.890598i \(-0.650287\pi\)
0.979856 0.199707i \(-0.0639992\pi\)
\(558\) −299.192 375.175i −0.536186 0.672356i
\(559\) −645.889 + 405.839i −1.15544 + 0.726009i
\(560\) 180.662 + 41.2349i 0.322611 + 0.0736338i
\(561\) 295.442 33.2883i 0.526634 0.0593374i
\(562\) 484.721 + 304.570i 0.862493 + 0.541940i
\(563\) −159.823 159.823i −0.283878 0.283878i 0.550775 0.834653i \(-0.314332\pi\)
−0.834653 + 0.550775i \(0.814332\pi\)
\(564\) 176.913 40.3792i 0.313675 0.0715942i
\(565\) 348.070 121.795i 0.616053 0.215566i
\(566\) −275.416 787.094i −0.486601 1.39063i
\(567\) 22.1779 + 97.1677i 0.0391145 + 0.171372i
\(568\) 11.6922 11.6922i 0.0205848 0.0205848i
\(569\) −320.779 + 510.517i −0.563759 + 0.897218i −0.999997 0.00261377i \(-0.999168\pi\)
0.436237 + 0.899832i \(0.356311\pi\)
\(570\) 37.5380 + 333.159i 0.0658562 + 0.584490i
\(571\) −159.551 + 699.038i −0.279424 + 1.22423i 0.619101 + 0.785311i \(0.287497\pi\)
−0.898524 + 0.438923i \(0.855360\pi\)
\(572\) 461.491 + 734.459i 0.806803 + 1.28402i
\(573\) 274.656 219.030i 0.479329 0.382252i
\(574\) 477.799 + 230.096i 0.832403 + 0.400864i
\(575\) 144.369 69.5245i 0.251077 0.120912i
\(576\) 262.368 329.000i 0.455501 0.571180i
\(577\) 37.7646 335.170i 0.0654499 0.580884i −0.917595 0.397517i \(-0.869872\pi\)
0.983045 0.183367i \(-0.0586995\pi\)
\(578\) −40.2402 14.0806i −0.0696197 0.0243610i
\(579\) 303.748i 0.524608i
\(580\) −258.925 244.516i −0.446423 0.421579i
\(581\) 8.69991 0.0149740
\(582\) 78.6253 224.698i 0.135095 0.386079i
\(583\) −607.178 68.4125i −1.04147 0.117346i
\(584\) 4.59182 + 3.66185i 0.00786270 + 0.00627029i
\(585\) 177.114 + 367.782i 0.302759 + 0.628687i
\(586\) 12.5792 26.1210i 0.0214662 0.0445751i
\(587\) 309.394 + 387.968i 0.527077 + 0.660933i 0.972095 0.234588i \(-0.0753742\pi\)
−0.445018 + 0.895522i \(0.646803\pi\)
\(588\) 174.653 109.741i 0.297028 0.186635i
\(589\) 629.279 + 143.629i 1.06839 + 0.243852i
\(590\) 22.0454 2.48392i 0.0373651 0.00421003i
\(591\) −110.917 69.6938i −0.187677 0.117925i
\(592\) 344.764 + 344.764i 0.582372 + 0.582372i
\(593\) −319.446 + 72.9114i −0.538694 + 0.122953i −0.483207 0.875506i \(-0.660528\pi\)
−0.0554869 + 0.998459i \(0.517671\pi\)
\(594\) 717.625 251.108i 1.20812 0.422740i
\(595\) −65.4570 187.065i −0.110012 0.314396i
\(596\) 101.306 + 443.850i 0.169976 + 0.744715i
\(597\) −10.6634 + 10.6634i −0.0178616 + 0.0178616i
\(598\) −300.738 + 478.622i −0.502906 + 0.800370i
\(599\) −55.2829 490.650i −0.0922921 0.819115i −0.951534 0.307545i \(-0.900493\pi\)
0.859242 0.511570i \(-0.170936\pi\)
\(600\) −1.09181 + 4.78352i −0.00181968 + 0.00797253i
\(601\) −327.784 521.665i −0.545397 0.867995i 0.454342 0.890827i \(-0.349874\pi\)
−0.999739 + 0.0228327i \(0.992731\pi\)
\(602\) 319.874 255.091i 0.531352 0.423739i
\(603\) 805.150 + 387.740i 1.33524 + 0.643018i
\(604\) −562.511 + 270.891i −0.931309 + 0.448495i
\(605\) −27.0827 + 33.9606i −0.0447648 + 0.0561333i
\(606\) −84.5736 + 750.612i −0.139560 + 1.23863i
\(607\) −366.644 128.294i −0.604026 0.211358i 0.0109025 0.999941i \(-0.496530\pi\)
−0.614929 + 0.788583i \(0.710815\pi\)
\(608\) 1166.58i 1.91871i
\(609\) −154.433 + 4.42002i −0.253584 + 0.00725784i
\(610\) −259.026 −0.424632
\(611\) −198.263 + 566.604i −0.324490 + 0.927339i
\(612\) −465.239 52.4198i −0.760194 0.0856533i
\(613\) 77.0877 + 61.4754i 0.125755 + 0.100286i 0.684348 0.729156i \(-0.260087\pi\)
−0.558593 + 0.829442i \(0.688659\pi\)
\(614\) −487.990 1013.32i −0.794772 1.65036i
\(615\) 103.542 215.007i 0.168361 0.349605i
\(616\) 5.78050 + 7.24852i 0.00938393 + 0.0117671i
\(617\) −177.309 + 111.411i −0.287372 + 0.180568i −0.668002 0.744160i \(-0.732850\pi\)
0.380629 + 0.924728i \(0.375707\pi\)
\(618\) −436.222 99.5648i −0.705860 0.161108i
\(619\) 376.754 42.4500i 0.608650 0.0685784i 0.197740 0.980254i \(-0.436640\pi\)
0.410910 + 0.911676i \(0.365211\pi\)
\(620\) 258.988 + 162.733i 0.417723 + 0.262473i
\(621\) 173.441 + 173.441i 0.279294 + 0.279294i
\(622\) 101.821 23.2400i 0.163699 0.0373633i
\(623\) −298.972 + 104.615i −0.479892 + 0.167921i
\(624\) −150.565 430.291i −0.241291 0.689569i
\(625\) 3.16756 + 13.8780i 0.00506809 + 0.0222048i
\(626\) −775.257 + 775.257i −1.23843 + 1.23843i
\(627\) −235.046 + 374.074i −0.374875 + 0.596610i
\(628\) 32.0303 + 284.277i 0.0510036 + 0.452670i
\(629\) 116.035 508.382i 0.184475 0.808239i
\(630\) −116.484 185.384i −0.184896 0.294260i
\(631\) −479.366 + 382.281i −0.759692 + 0.605834i −0.924805 0.380441i \(-0.875772\pi\)
0.165114 + 0.986275i \(0.447201\pi\)
\(632\) 19.0804 + 9.18862i 0.0301905 + 0.0145390i
\(633\) −18.3705 + 8.84676i −0.0290213 + 0.0139759i
\(634\) 177.802 222.956i 0.280444 0.351666i
\(635\) −65.5202 + 581.508i −0.103181 + 0.915761i
\(636\) −285.899 100.040i −0.449526 0.157296i
\(637\) 682.351i 1.07120i
\(638\) −133.039 938.539i −0.208525 1.47106i
\(639\) −514.552 −0.805245
\(640\) 7.27840 20.8005i 0.0113725 0.0325007i
\(641\) 399.518 + 45.0149i 0.623274 + 0.0702261i 0.417953 0.908469i \(-0.362748\pi\)
0.205321 + 0.978695i \(0.434176\pi\)
\(642\) −187.517 149.540i −0.292082 0.232928i
\(643\) 309.674 + 643.044i 0.481607 + 1.00007i 0.990277 + 0.139107i \(0.0444231\pi\)
−0.508670 + 0.860962i \(0.669863\pi\)
\(644\) 65.1234 135.230i 0.101123 0.209985i
\(645\) −114.790 143.942i −0.177968 0.223165i
\(646\) 1077.07 676.767i 1.66729 1.04763i
\(647\) −495.306 113.050i −0.765542 0.174730i −0.178118 0.984009i \(-0.557001\pi\)
−0.587424 + 0.809279i \(0.699858\pi\)
\(648\) 6.00294 0.676369i 0.00926380 0.00104378i
\(649\) 24.7528 + 15.5532i 0.0381399 + 0.0239649i
\(650\) 575.936 + 575.936i 0.886056 + 0.886056i
\(651\) 129.365 29.5267i 0.198717 0.0453559i
\(652\) −389.719 + 136.369i −0.597729 + 0.209154i
\(653\) 104.338 + 298.181i 0.159783 + 0.456633i 0.995745 0.0921544i \(-0.0293753\pi\)
−0.835962 + 0.548788i \(0.815090\pi\)
\(654\) −96.5452 422.992i −0.147623 0.646777i
\(655\) 273.354 273.354i 0.417334 0.417334i
\(656\) 450.413 716.828i 0.686605 1.09273i
\(657\) −20.4630 181.614i −0.0311462 0.276430i
\(658\) 71.6443 313.894i 0.108882 0.477043i
\(659\) 209.895 + 334.046i 0.318505 + 0.506898i 0.967154 0.254189i \(-0.0818086\pi\)
−0.648649 + 0.761087i \(0.724666\pi\)
\(660\) −163.680 + 130.531i −0.248000 + 0.197774i
\(661\) −536.862 258.539i −0.812197 0.391134i −0.0187891 0.999823i \(-0.505981\pi\)
−0.793408 + 0.608690i \(0.791695\pi\)
\(662\) 1197.14 576.512i 1.80837 0.870865i
\(663\) −303.986 + 381.187i −0.458501 + 0.574942i
\(664\) 0.0590404 0.523998i 8.89163e−5 0.000789154i
\(665\) 277.970 + 97.2660i 0.418000 + 0.146265i
\(666\) 576.066i 0.864964i
\(667\) 254.181 170.046i 0.381081 0.254941i
\(668\) 375.967 0.562824
\(669\) −50.9237 + 145.531i −0.0761191 + 0.217536i
\(670\) −1143.35 128.825i −1.70650 0.192276i
\(671\) −266.858 212.812i −0.397702 0.317157i
\(672\) 104.054 + 216.071i 0.154843 + 0.321534i
\(673\) −536.353 + 1113.75i −0.796958 + 1.65490i −0.0420097 + 0.999117i \(0.513376\pi\)
−0.754949 + 0.655784i \(0.772338\pi\)
\(674\) −184.220 231.005i −0.273324 0.342738i
\(675\) 299.260 188.038i 0.443348 0.278574i
\(676\) −740.619 169.041i −1.09559 0.250061i
\(677\) 965.383 108.773i 1.42597 0.160669i 0.634996 0.772515i \(-0.281002\pi\)
0.790976 + 0.611847i \(0.209573\pi\)
\(678\) 411.992 + 258.872i 0.607658 + 0.381817i
\(679\) −147.861 147.861i −0.217764 0.217764i
\(680\) −11.7112 + 2.67301i −0.0172224 + 0.00393090i
\(681\) 427.824 149.702i 0.628229 0.219827i
\(682\) 268.893 + 768.452i 0.394271 + 1.12676i
\(683\) −241.304 1057.22i −0.353300 1.54791i −0.769506 0.638639i \(-0.779498\pi\)
0.416206 0.909270i \(-0.363359\pi\)
\(684\) 491.932 491.932i 0.719199 0.719199i
\(685\) −16.2049 + 25.7899i −0.0236568 + 0.0376495i
\(686\) −97.0170 861.050i −0.141424 1.25517i
\(687\) −26.6374 + 116.706i −0.0387735 + 0.169878i
\(688\) −347.489 553.025i −0.505071 0.803815i
\(689\) 783.397 624.738i 1.13701 0.906732i
\(690\) −122.918 59.1944i −0.178143 0.0857890i
\(691\) 101.575 48.9160i 0.146997 0.0707901i −0.358939 0.933361i \(-0.616861\pi\)
0.505936 + 0.862571i \(0.331147\pi\)
\(692\) 723.984 907.847i 1.04622 1.31192i
\(693\) 32.3024 286.692i 0.0466124 0.413696i
\(694\) 1068.38 + 373.842i 1.53945 + 0.538678i
\(695\) 486.829i 0.700473i
\(696\) −0.781811 + 9.33152i −0.00112329 + 0.0134074i
\(697\) −905.428 −1.29904
\(698\) −242.097 + 691.875i −0.346844 + 0.991224i
\(699\) 226.770 + 25.5508i 0.324420 + 0.0365534i
\(700\) −169.089 134.844i −0.241556 0.192635i
\(701\) 358.394 + 744.212i 0.511261 + 1.06164i 0.983623 + 0.180239i \(0.0576872\pi\)
−0.472362 + 0.881405i \(0.656598\pi\)
\(702\) −540.961 + 1123.32i −0.770599 + 1.60017i
\(703\) 483.117 + 605.809i 0.687221 + 0.861748i
\(704\) −604.508 + 379.838i −0.858677 + 0.539542i
\(705\) −141.251 32.2396i −0.200356 0.0457299i
\(706\) −256.064 + 28.8515i −0.362698 + 0.0408662i
\(707\) 561.805 + 353.005i 0.794632 + 0.499300i
\(708\) 10.2472 + 10.2472i 0.0144734 + 0.0144734i
\(709\) −459.546 + 104.888i −0.648161 + 0.147938i −0.533947 0.845518i \(-0.679292\pi\)
−0.114214 + 0.993456i \(0.536435\pi\)
\(710\) 625.318 218.808i 0.880729 0.308180i
\(711\) −217.659 622.033i −0.306131 0.874871i
\(712\) 4.27207 + 18.7171i 0.00600009 + 0.0262881i
\(713\) −185.726 + 185.726i −0.260485 + 0.260485i
\(714\) 139.127 221.420i 0.194856 0.310111i
\(715\) −77.5423 688.207i −0.108451 0.962527i
\(716\) −149.575 + 655.329i −0.208903 + 0.915264i
\(717\) −238.831 380.097i −0.333098 0.530122i
\(718\) 63.7770 50.8604i 0.0888258 0.0708362i
\(719\) 254.261 + 122.446i 0.353632 + 0.170300i 0.602262 0.798298i \(-0.294266\pi\)
−0.248630 + 0.968598i \(0.579980\pi\)
\(720\) −314.903 + 151.649i −0.437365 + 0.210624i
\(721\) −245.049 + 307.282i −0.339874 + 0.426188i
\(722\) −97.8715 + 868.634i −0.135556 + 1.20309i
\(723\) 575.569 + 201.400i 0.796085 + 0.278562i
\(724\) 67.6643i 0.0934589i
\(725\) −157.379 411.594i −0.217075 0.567716i
\(726\) −57.3141 −0.0789450
\(727\) 377.120 1077.75i 0.518734 1.48246i −0.325010 0.945711i \(-0.605368\pi\)
0.843744 0.536746i \(-0.180347\pi\)
\(728\) −15.1081 1.70228i −0.0207529 0.00233829i
\(729\) 93.2810 + 74.3891i 0.127957 + 0.102043i
\(730\) 102.098 + 212.008i 0.139860 + 0.290422i
\(731\) −303.080 + 629.352i −0.414610 + 0.860946i
\(732\) −105.496 132.287i −0.144120 0.180721i
\(733\) −380.609 + 239.152i −0.519248 + 0.326265i −0.766029 0.642806i \(-0.777770\pi\)
0.246781 + 0.969071i \(0.420627\pi\)
\(734\) −793.772 181.173i −1.08143 0.246830i
\(735\) −163.654 + 18.4393i −0.222658 + 0.0250875i
\(736\) −401.950 252.562i −0.546128 0.343155i
\(737\) −1072.09 1072.09i −1.45466 1.45466i
\(738\) −975.170 + 222.576i −1.32137 + 0.301594i
\(739\) −316.746 + 110.834i −0.428614 + 0.149979i −0.535960 0.844243i \(-0.680050\pi\)
0.107346 + 0.994222i \(0.465765\pi\)
\(740\) 121.275 + 346.584i 0.163885 + 0.468356i
\(741\) −161.213 706.320i −0.217561 0.953199i
\(742\) −380.017 + 380.017i −0.512153 + 0.512153i
\(743\) −112.744 + 179.430i −0.151741 + 0.241494i −0.913941 0.405847i \(-0.866976\pi\)
0.762200 + 0.647342i \(0.224119\pi\)
\(744\) −0.900488 7.99205i −0.00121033 0.0107420i
\(745\) 80.8849 354.380i 0.108570 0.475678i
\(746\) 35.0820 + 55.8327i 0.0470268 + 0.0748427i
\(747\) −12.8292 + 10.2310i −0.0171743 + 0.0136961i
\(748\) 715.654 + 344.641i 0.956757 + 0.460750i
\(749\) −189.813 + 91.4091i −0.253422 + 0.122041i
\(750\) −324.225 + 406.565i −0.432300 + 0.542087i
\(751\) −118.630 + 1052.87i −0.157962 + 1.40195i 0.625360 + 0.780337i \(0.284952\pi\)
−0.783322 + 0.621616i \(0.786476\pi\)
\(752\) −485.139 169.758i −0.645132 0.225742i
\(753\) 601.793i 0.799193i
\(754\) 1242.57 + 934.036i 1.64798 + 1.23878i
\(755\) 498.486 0.660247
\(756\) 109.342 312.481i 0.144632 0.413335i
\(757\) −483.486 54.4758i −0.638687 0.0719627i −0.213318 0.976983i \(-0.568427\pi\)
−0.425369 + 0.905020i \(0.639856\pi\)
\(758\) 898.256 + 716.335i 1.18503 + 0.945033i
\(759\) −78.0020 161.973i −0.102769 0.213403i
\(760\) 7.74475 16.0821i 0.0101905 0.0211607i
\(761\) 229.278 + 287.506i 0.301286 + 0.377800i 0.909311 0.416117i \(-0.136609\pi\)
−0.608025 + 0.793918i \(0.708038\pi\)
\(762\) −653.786 + 410.801i −0.857987 + 0.539109i
\(763\) −371.553 84.8047i −0.486964 0.111146i
\(764\) 932.648 105.084i 1.22074 0.137545i
\(765\) 316.512 + 198.877i 0.413741 + 0.259971i
\(766\) 178.327 + 178.327i 0.232803 + 0.232803i
\(767\) −46.7377 + 10.6676i −0.0609358 + 0.0139082i
\(768\) 368.157 128.824i 0.479371 0.167739i
\(769\) −50.1787 143.403i −0.0652519 0.186479i 0.906641 0.421903i \(-0.138638\pi\)
−0.971893 + 0.235424i \(0.924352\pi\)
\(770\) 82.6568 + 362.143i 0.107346 + 0.470316i
\(771\) 48.4992 48.4992i 0.0629043