Properties

Label 108.3.j.a.7.18
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.18
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.210380 - 1.98890i) q^{2} +(1.64282 - 2.51021i) q^{3} +(-3.91148 - 0.836851i) q^{4} +(-0.133306 - 0.756014i) q^{5} +(-4.64695 - 3.79550i) q^{6} +(3.08121 - 3.67204i) q^{7} +(-2.48731 + 7.60350i) q^{8} +(-3.60231 - 8.24763i) q^{9} +O(q^{10})\) \(q+(0.210380 - 1.98890i) q^{2} +(1.64282 - 2.51021i) q^{3} +(-3.91148 - 0.836851i) q^{4} +(-0.133306 - 0.756014i) q^{5} +(-4.64695 - 3.79550i) q^{6} +(3.08121 - 3.67204i) q^{7} +(-2.48731 + 7.60350i) q^{8} +(-3.60231 - 8.24763i) q^{9} +(-1.53168 + 0.106082i) q^{10} +(-7.79262 - 1.37405i) q^{11} +(-8.52652 + 8.44384i) q^{12} +(7.52188 + 2.73774i) q^{13} +(-6.65511 - 6.90075i) q^{14} +(-2.11675 - 0.907367i) q^{15} +(14.5994 + 6.54666i) q^{16} +(6.81117 + 11.7973i) q^{17} +(-17.1616 + 5.42951i) q^{18} +(11.9343 + 6.89025i) q^{19} +(-0.111249 + 3.06869i) q^{20} +(-4.15573 - 13.7670i) q^{21} +(-4.37226 + 15.2097i) q^{22} +(-22.4825 - 26.7936i) q^{23} +(15.0002 + 18.7348i) q^{24} +(22.9385 - 8.34894i) q^{25} +(7.02756 - 14.3843i) q^{26} +(-26.6212 - 4.50678i) q^{27} +(-15.1250 + 11.7846i) q^{28} +(38.1507 - 13.8857i) q^{29} +(-2.24999 + 4.01912i) q^{30} +(14.9912 + 17.8658i) q^{31} +(16.0921 - 27.6594i) q^{32} +(-16.2510 + 17.3038i) q^{33} +(24.8966 - 11.0648i) q^{34} +(-3.18685 - 1.83993i) q^{35} +(7.18832 + 35.2750i) q^{36} +(-1.05245 - 1.82290i) q^{37} +(16.2148 - 22.2865i) q^{38} +(19.2294 - 14.3839i) q^{39} +(6.07993 + 0.866854i) q^{40} +(14.0090 + 5.09885i) q^{41} +(-28.2555 + 5.36906i) q^{42} +(57.3675 + 10.1154i) q^{43} +(29.3308 + 11.8958i) q^{44} +(-5.75511 + 3.82285i) q^{45} +(-58.0198 + 39.0787i) q^{46} +(-49.8023 + 59.3520i) q^{47} +(40.4175 - 25.8925i) q^{48} +(4.51872 + 25.6270i) q^{49} +(-11.7794 - 47.3790i) q^{50} +(40.8032 + 2.28331i) q^{51} +(-27.1306 - 17.0033i) q^{52} -43.6318 q^{53} +(-14.5641 + 51.9989i) q^{54} +6.07450i q^{55} +(20.2564 + 32.5615i) q^{56} +(36.9018 - 18.6381i) q^{57} +(-19.5912 - 78.7993i) q^{58} +(43.0425 - 7.58956i) q^{59} +(7.52030 + 5.32055i) q^{60} +(-66.2578 - 55.5969i) q^{61} +(38.6873 - 26.0575i) q^{62} +(-41.3851 - 12.1848i) q^{63} +(-51.6265 - 37.8246i) q^{64} +(1.06706 - 6.05160i) q^{65} +(30.9967 + 35.9621i) q^{66} +(-14.0519 + 38.6072i) q^{67} +(-16.7692 - 51.8448i) q^{68} +(-104.192 + 12.4188i) q^{69} +(-4.32990 + 5.95126i) q^{70} +(-74.9269 + 43.2591i) q^{71} +(71.6709 - 6.87573i) q^{72} +(-42.9421 + 74.3779i) q^{73} +(-3.84699 + 1.70973i) q^{74} +(16.7262 - 71.2963i) q^{75} +(-40.9145 - 36.9383i) q^{76} +(-29.0562 + 24.3811i) q^{77} +(-24.5627 - 41.2715i) q^{78} +(7.58889 + 20.8503i) q^{79} +(3.00319 - 11.9100i) q^{80} +(-55.0467 + 59.4210i) q^{81} +(13.0883 - 26.7898i) q^{82} +(-7.46796 - 20.5180i) q^{83} +(4.73417 + 57.3269i) q^{84} +(8.01094 - 6.72198i) q^{85} +(32.1876 - 111.970i) q^{86} +(27.8185 - 118.578i) q^{87} +(29.8303 - 55.8335i) q^{88} +(-66.5965 + 115.349i) q^{89} +(6.39252 + 12.2506i) q^{90} +(33.2296 - 19.1851i) q^{91} +(65.5176 + 123.617i) q^{92} +(69.4748 - 8.28082i) q^{93} +(107.568 + 111.538i) q^{94} +(3.61822 - 9.94098i) q^{95} +(-42.9947 - 85.8339i) q^{96} +(28.3954 - 161.038i) q^{97} +(51.9202 - 3.59591i) q^{98} +(16.7388 + 69.2204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.210380 1.98890i 0.105190 0.994452i
\(3\) 1.64282 2.51021i 0.547605 0.836737i
\(4\) −3.91148 0.836851i −0.977870 0.209213i
\(5\) −0.133306 0.756014i −0.0266611 0.151203i 0.968571 0.248737i \(-0.0800155\pi\)
−0.995232 + 0.0975344i \(0.968904\pi\)
\(6\) −4.64695 3.79550i −0.774492 0.632584i
\(7\) 3.08121 3.67204i 0.440172 0.524577i −0.499656 0.866224i \(-0.666540\pi\)
0.939828 + 0.341647i \(0.110985\pi\)
\(8\) −2.48731 + 7.60350i −0.310914 + 0.950438i
\(9\) −3.60231 8.24763i −0.400257 0.916403i
\(10\) −1.53168 + 0.106082i −0.153168 + 0.0106082i
\(11\) −7.79262 1.37405i −0.708420 0.124914i −0.192183 0.981359i \(-0.561557\pi\)
−0.516237 + 0.856446i \(0.672668\pi\)
\(12\) −8.52652 + 8.44384i −0.710543 + 0.703654i
\(13\) 7.52188 + 2.73774i 0.578606 + 0.210595i 0.614711 0.788753i \(-0.289273\pi\)
−0.0361046 + 0.999348i \(0.511495\pi\)
\(14\) −6.65511 6.90075i −0.475365 0.492911i
\(15\) −2.11675 0.907367i −0.141117 0.0604911i
\(16\) 14.5994 + 6.54666i 0.912460 + 0.409166i
\(17\) 6.81117 + 11.7973i 0.400657 + 0.693958i 0.993805 0.111135i \(-0.0354486\pi\)
−0.593149 + 0.805093i \(0.702115\pi\)
\(18\) −17.1616 + 5.42951i −0.953422 + 0.301640i
\(19\) 11.9343 + 6.89025i 0.628119 + 0.362645i 0.780023 0.625750i \(-0.215207\pi\)
−0.151904 + 0.988395i \(0.548541\pi\)
\(20\) −0.111249 + 3.06869i −0.00556244 + 0.153435i
\(21\) −4.15573 13.7670i −0.197892 0.655570i
\(22\) −4.37226 + 15.2097i −0.198739 + 0.691350i
\(23\) −22.4825 26.7936i −0.977500 1.16494i −0.986297 0.164978i \(-0.947245\pi\)
0.00879696 0.999961i \(1.50280\pi\)
\(24\) 15.0002 + 18.7348i 0.625008 + 0.780618i
\(25\) 22.9385 8.34894i 0.917541 0.333958i
\(26\) 7.02756 14.3843i 0.270291 0.553244i
\(27\) −26.6212 4.50678i −0.985971 0.166918i
\(28\) −15.1250 + 11.7846i −0.540180 + 0.420878i
\(29\) 38.1507 13.8857i 1.31554 0.478817i 0.413513 0.910498i \(-0.364302\pi\)
0.902026 + 0.431681i \(0.142079\pi\)
\(30\) −2.24999 + 4.01912i −0.0749996 + 0.133971i
\(31\) 14.9912 + 17.8658i 0.483588 + 0.576317i 0.951575 0.307418i \(-0.0994650\pi\)
−0.467987 + 0.883735i \(0.655021\pi\)
\(32\) 16.0921 27.6594i 0.502878 0.864358i
\(33\) −16.2510 + 17.3038i −0.492454 + 0.524358i
\(34\) 24.8966 11.0648i 0.732253 0.325437i
\(35\) −3.18685 1.83993i −0.0910530 0.0525695i
\(36\) 7.18832 + 35.2750i 0.199676 + 0.979862i
\(37\) −1.05245 1.82290i −0.0284447 0.0492676i 0.851453 0.524431i \(-0.175722\pi\)
−0.879897 + 0.475164i \(0.842389\pi\)
\(38\) 16.2148 22.2865i 0.426705 0.586488i
\(39\) 19.2294 14.3839i 0.493061 0.368818i
\(40\) 6.07993 + 0.866854i 0.151998 + 0.0216714i
\(41\) 14.0090 + 5.09885i 0.341683 + 0.124362i 0.507161 0.861851i \(-0.330695\pi\)
−0.165479 + 0.986213i \(0.552917\pi\)
\(42\) −28.2555 + 5.36906i −0.672749 + 0.127835i
\(43\) 57.3675 + 10.1154i 1.33413 + 0.235243i 0.794809 0.606860i \(-0.207571\pi\)
0.539318 + 0.842102i \(0.318682\pi\)
\(44\) 29.3308 + 11.8958i 0.666609 + 0.270360i
\(45\) −5.75511 + 3.82285i −0.127891 + 0.0849522i
\(46\) −58.0198 + 39.0787i −1.26130 + 0.849537i
\(47\) −49.8023 + 59.3520i −1.05962 + 1.26281i −0.0960456 + 0.995377i \(0.530619\pi\)
−0.963577 + 0.267432i \(0.913825\pi\)
\(48\) 40.4175 25.8925i 0.842032 0.539427i
\(49\) 4.51872 + 25.6270i 0.0922189 + 0.522999i
\(50\) −11.7794 47.3790i −0.235589 0.947580i
\(51\) 40.8032 + 2.28331i 0.800062 + 0.0447709i
\(52\) −27.1306 17.0033i −0.521742 0.326987i
\(53\) −43.6318 −0.823241 −0.411620 0.911355i \(-0.635037\pi\)
−0.411620 + 0.911355i \(0.635037\pi\)
\(54\) −14.5641 + 51.9989i −0.269706 + 0.962943i
\(55\) 6.07450i 0.110445i
\(56\) 20.2564 + 32.5615i 0.361722 + 0.581455i
\(57\) 36.9018 18.6381i 0.647400 0.326984i
\(58\) −19.5912 78.7993i −0.337779 1.35861i
\(59\) 43.0425 7.58956i 0.729534 0.128637i 0.203470 0.979081i \(-0.434778\pi\)
0.526065 + 0.850445i \(0.323667\pi\)
\(60\) 7.52030 + 5.32055i 0.125338 + 0.0886759i
\(61\) −66.2578 55.5969i −1.08619 0.911425i −0.0897734 0.995962i \(-0.528614\pi\)
−0.996420 + 0.0845375i \(0.973059\pi\)
\(62\) 38.6873 26.0575i 0.623989 0.420282i
\(63\) −41.3851 12.1848i −0.656906 0.193410i
\(64\) −51.6265 37.8246i −0.806665 0.591010i
\(65\) 1.06706 6.05160i 0.0164163 0.0931016i
\(66\) 30.9967 + 35.9621i 0.469647 + 0.544880i
\(67\) −14.0519 + 38.6072i −0.209730 + 0.576227i −0.999299 0.0374339i \(-0.988082\pi\)
0.789570 + 0.613661i \(0.210304\pi\)
\(68\) −16.7692 51.8448i −0.246605 0.762423i
\(69\) −104.192 + 12.4188i −1.51003 + 0.179983i
\(70\) −4.32990 + 5.95126i −0.0618557 + 0.0850181i
\(71\) −74.9269 + 43.2591i −1.05531 + 0.609283i −0.924131 0.382076i \(-0.875209\pi\)
−0.131178 + 0.991359i \(0.541876\pi\)
\(72\) 71.6709 6.87573i 0.995430 0.0954962i
\(73\) −42.9421 + 74.3779i −0.588248 + 1.01888i 0.406214 + 0.913778i \(0.366849\pi\)
−0.994462 + 0.105097i \(0.966485\pi\)
\(74\) −3.84699 + 1.70973i −0.0519864 + 0.0231044i
\(75\) 16.7262 71.2963i 0.223016 0.950617i
\(76\) −40.9145 36.9383i −0.538349 0.486030i
\(77\) −29.0562 + 24.3811i −0.377354 + 0.316637i
\(78\) −24.5627 41.2715i −0.314907 0.529121i
\(79\) 7.58889 + 20.8503i 0.0960619 + 0.263928i 0.978411 0.206667i \(-0.0662616\pi\)
−0.882349 + 0.470595i \(0.844039\pi\)
\(80\) 3.00319 11.9100i 0.0375398 0.148875i
\(81\) −55.0467 + 59.4210i −0.679589 + 0.733593i
\(82\) 13.0883 26.7898i 0.159614 0.326705i
\(83\) −7.46796 20.5180i −0.0899754 0.247205i 0.886540 0.462651i \(-0.153102\pi\)
−0.976516 + 0.215446i \(0.930880\pi\)
\(84\) 4.73417 + 57.3269i 0.0563592 + 0.682463i
\(85\) 8.01094 6.72198i 0.0942464 0.0790821i
\(86\) 32.1876 111.970i 0.374274 1.30198i
\(87\) 27.8185 118.578i 0.319753 1.36296i
\(88\) 29.8303 55.8335i 0.338981 0.634472i
\(89\) −66.5965 + 115.349i −0.748275 + 1.29605i 0.200373 + 0.979720i \(0.435784\pi\)
−0.948649 + 0.316331i \(0.897549\pi\)
\(90\) 6.39252 + 12.2506i 0.0710280 + 0.136118i
\(91\) 33.2296 19.1851i 0.365160 0.210825i
\(92\) 65.5176 + 123.617i 0.712148 + 1.34367i
\(93\) 69.4748 8.28082i 0.747041 0.0890411i
\(94\) 107.568 + 111.538i 1.14434 + 1.18658i
\(95\) 3.61822 9.94098i 0.0380865 0.104642i
\(96\) −42.9947 85.8339i −0.447861 0.894103i
\(97\) 28.3954 161.038i 0.292736 1.66019i −0.383529 0.923529i \(-0.625291\pi\)
0.676265 0.736659i \(-0.263598\pi\)
\(98\) 51.9202 3.59591i 0.529798 0.0366930i
\(99\) 16.7388 + 69.2204i 0.169079 + 0.699196i
\(100\) −96.7104 + 13.4606i −0.967104 + 0.134606i
\(101\) −20.6121 17.2956i −0.204081 0.171244i 0.535019 0.844840i \(-0.320304\pi\)
−0.739100 + 0.673596i \(0.764749\pi\)
\(102\) 13.1255 80.6732i 0.128681 0.790914i
\(103\) −47.0573 + 8.29747i −0.456867 + 0.0805580i −0.397346 0.917669i \(-0.630069\pi\)
−0.0595214 + 0.998227i \(0.518957\pi\)
\(104\) −39.5257 + 50.3830i −0.380055 + 0.484452i
\(105\) −9.85403 + 4.97701i −0.0938479 + 0.0474000i
\(106\) −9.17925 + 86.7794i −0.0865967 + 0.818673i
\(107\) 61.2748i 0.572661i 0.958131 + 0.286331i \(0.0924356\pi\)
−0.958131 + 0.286331i \(0.907564\pi\)
\(108\) 100.357 + 39.9062i 0.929230 + 0.369502i
\(109\) 193.438 1.77466 0.887331 0.461133i \(-0.152557\pi\)
0.887331 + 0.461133i \(0.152557\pi\)
\(110\) 12.0816 + 1.27795i 0.109833 + 0.0116178i
\(111\) −6.30485 0.352815i −0.0568005 0.00317851i
\(112\) 69.0232 33.4378i 0.616279 0.298552i
\(113\) 13.4483 + 76.2690i 0.119011 + 0.674947i 0.984686 + 0.174339i \(0.0557790\pi\)
−0.865674 + 0.500608i \(0.833110\pi\)
\(114\) −29.3060 77.3152i −0.257070 0.678203i
\(115\) −17.2593 + 20.5688i −0.150081 + 0.178859i
\(116\) −160.846 + 22.3872i −1.38660 + 0.192993i
\(117\) −4.51628 71.8999i −0.0386007 0.614529i
\(118\) −6.03962 87.2042i −0.0511832 0.739018i
\(119\) 64.3067 + 11.3390i 0.540392 + 0.0952858i
\(120\) 12.1642 13.8378i 0.101368 0.115315i
\(121\) −54.8659 19.9695i −0.453437 0.165038i
\(122\) −124.516 + 120.084i −1.02063 + 0.984295i
\(123\) 35.8134 26.7890i 0.291166 0.217797i
\(124\) −43.6868 82.4273i −0.352313 0.664736i
\(125\) −18.9657 32.8496i −0.151726 0.262797i
\(126\) −32.9410 + 79.7475i −0.261437 + 0.632917i
\(127\) −134.077 77.4091i −1.05572 0.609521i −0.131475 0.991319i \(-0.541971\pi\)
−0.924246 + 0.381799i \(0.875305\pi\)
\(128\) −86.0907 + 94.7227i −0.672584 + 0.740021i
\(129\) 119.636 127.387i 0.927411 0.987493i
\(130\) −11.8116 3.39542i −0.0908582 0.0261186i
\(131\) 56.4836 + 67.3145i 0.431173 + 0.513851i 0.937260 0.348631i \(-0.113353\pi\)
−0.506088 + 0.862482i \(0.668909\pi\)
\(132\) 78.0462 54.0838i 0.591259 0.409726i
\(133\) 62.0732 22.5928i 0.466716 0.169871i
\(134\) 73.8298 + 36.0700i 0.550969 + 0.269179i
\(135\) 0.141567 + 20.7268i 0.00104864 + 0.153532i
\(136\) −106.642 + 22.4452i −0.784134 + 0.165038i
\(137\) 247.706 90.1577i 1.80807 0.658085i 0.810717 0.585438i \(-0.199077\pi\)
0.997358 0.0726476i \(-0.0231448\pi\)
\(138\) 2.77993 + 209.841i 0.0201444 + 1.52059i
\(139\) 142.549 + 169.883i 1.02553 + 1.22218i 0.974710 + 0.223475i \(0.0717401\pi\)
0.0508232 + 0.998708i \(0.483816\pi\)
\(140\) 10.9256 + 9.86378i 0.0780398 + 0.0704556i
\(141\) 67.1701 + 222.519i 0.476384 + 1.57815i
\(142\) 70.2750 + 158.123i 0.494895 + 1.11354i
\(143\) −54.8534 31.6696i −0.383590 0.221466i
\(144\) 1.40297 143.993i 0.00974283 0.999953i
\(145\) −15.5835 26.9914i −0.107472 0.186147i
\(146\) 138.896 + 101.055i 0.951345 + 0.692160i
\(147\) 71.7525 + 30.7574i 0.488112 + 0.209234i
\(148\) 2.59115 + 8.01099i 0.0175078 + 0.0541283i
\(149\) 0.892365 + 0.324794i 0.00598903 + 0.00217983i 0.345013 0.938598i \(-0.387875\pi\)
−0.339024 + 0.940778i \(0.610097\pi\)
\(150\) −138.283 48.2661i −0.921884 0.321774i
\(151\) −219.805 38.7576i −1.45566 0.256673i −0.610855 0.791743i \(-0.709174\pi\)
−0.844808 + 0.535070i \(0.820285\pi\)
\(152\) −82.0743 + 73.6040i −0.539963 + 0.484237i
\(153\) 72.7637 98.6734i 0.475580 0.644924i
\(154\) 42.3788 + 62.9194i 0.275187 + 0.408567i
\(155\) 11.5084 13.7152i 0.0742478 0.0884851i
\(156\) −87.2525 + 40.1702i −0.559311 + 0.257501i
\(157\) 32.0271 + 181.635i 0.203994 + 1.15691i 0.899014 + 0.437919i \(0.144284\pi\)
−0.695020 + 0.718990i \(0.744604\pi\)
\(158\) 43.0658 10.7071i 0.272569 0.0677664i
\(159\) −71.6790 + 109.525i −0.450811 + 0.688836i
\(160\) −23.0561 8.47868i −0.144101 0.0529917i
\(161\) −167.660 −1.04137
\(162\) 106.602 + 121.984i 0.658037 + 0.752986i
\(163\) 210.034i 1.28855i −0.764793 0.644276i \(-0.777159\pi\)
0.764793 0.644276i \(-0.222841\pi\)
\(164\) −50.5289 31.6675i −0.308103 0.193095i
\(165\) 15.2483 + 9.97928i 0.0924137 + 0.0604805i
\(166\) −42.3795 + 10.5365i −0.255298 + 0.0634727i
\(167\) 129.841 22.8945i 0.777493 0.137093i 0.229200 0.973379i \(-0.426389\pi\)
0.548293 + 0.836286i \(0.315278\pi\)
\(168\) 115.014 + 2.64463i 0.684606 + 0.0157418i
\(169\) −80.3780 67.4452i −0.475610 0.399084i
\(170\) −11.6840 17.3472i −0.0687296 0.102042i
\(171\) 13.8373 123.250i 0.0809199 0.720761i
\(172\) −215.927 87.5743i −1.25539 0.509153i
\(173\) 35.2162 199.721i 0.203562 1.15446i −0.696125 0.717921i \(-0.745094\pi\)
0.899687 0.436536i \(-0.143795\pi\)
\(174\) −229.987 80.2747i −1.32177 0.461349i
\(175\) 40.0207 109.956i 0.228690 0.628320i
\(176\) −104.772 71.0758i −0.595295 0.403840i
\(177\) 51.6596 120.514i 0.291862 0.680870i
\(178\) 215.407 + 156.721i 1.21015 + 0.880456i
\(179\) 59.8299 34.5428i 0.334245 0.192976i −0.323479 0.946235i \(-0.604853\pi\)
0.657724 + 0.753259i \(0.271519\pi\)
\(180\) 25.7102 10.1368i 0.142834 0.0563157i
\(181\) −44.8622 + 77.7036i −0.247858 + 0.429302i −0.962931 0.269747i \(-0.913060\pi\)
0.715074 + 0.699049i \(0.246393\pi\)
\(182\) −31.1665 70.1266i −0.171244 0.385311i
\(183\) −248.409 + 74.9855i −1.35743 + 0.409757i
\(184\) 259.646 104.302i 1.41112 0.566857i
\(185\) −1.23784 + 1.03867i −0.00669103 + 0.00561444i
\(186\) −1.85364 139.921i −0.00996582 0.752263i
\(187\) −36.8668 101.291i −0.197149 0.541661i
\(188\) 244.469 190.477i 1.30037 1.01318i
\(189\) −98.5745 + 83.8678i −0.521558 + 0.443745i
\(190\) −19.0104 9.28767i −0.100055 0.0488825i
\(191\) −101.142 277.887i −0.529542 1.45490i −0.859612 0.510947i \(-0.829295\pi\)
0.330071 0.943956i \(1.60707\pi\)
\(192\) −179.761 + 67.4546i −0.936253 + 0.351326i
\(193\) −238.508 + 200.132i −1.23579 + 1.03695i −0.237949 + 0.971278i \(0.576475\pi\)
−0.997841 + 0.0656734i \(0.979080\pi\)
\(194\) −314.316 90.3549i −1.62018 0.465747i
\(195\) −13.4378 12.6202i −0.0689118 0.0647191i
\(196\) 3.77105 104.021i 0.0192401 0.530719i
\(197\) 72.0482 124.791i 0.365727 0.633457i −0.623166 0.782090i \(-0.714154\pi\)
0.988892 + 0.148633i \(0.0474872\pi\)
\(198\) 141.194 18.7293i 0.713102 0.0945922i
\(199\) 168.765 97.4366i 0.848066 0.489631i −0.0119320 0.999929i \(-0.503798\pi\)
0.859998 + 0.510298i \(0.170465\pi\)
\(200\) 6.42587 + 195.180i 0.0321294 + 0.975898i
\(201\) 73.8276 + 98.6977i 0.367301 + 0.491034i
\(202\) −38.7358 + 37.3569i −0.191761 + 0.184935i
\(203\) 66.5612 182.875i 0.327888 0.900864i
\(204\) −157.690 43.0773i −0.772990 0.211163i
\(205\) 1.98733 11.2707i 0.00969428 0.0549790i
\(206\) 6.60296 + 95.3381i 0.0320532 + 0.462806i
\(207\) −139.995 + 281.946i −0.676303 + 1.36206i
\(208\) 91.8916 + 89.2124i 0.441787 + 0.428906i
\(209\) −83.5316 70.0914i −0.399673 0.335365i
\(210\) 7.82570 + 20.6458i 0.0372652 + 0.0983133i
\(211\) −114.338 + 20.1608i −0.541884 + 0.0955488i −0.437889 0.899029i \(-0.644274\pi\)
−0.103995 + 0.994578i \(0.533163\pi\)
\(212\) 170.665 + 36.5133i 0.805022 + 0.172233i
\(213\) −14.5018 + 259.149i −0.0680835 + 1.21666i
\(214\) 121.870 + 12.8910i 0.569484 + 0.0602382i
\(215\) 44.7190i 0.207996i
\(216\) 100.483 191.205i 0.465198 0.885207i
\(217\) 111.795 0.515185
\(218\) 40.6955 384.730i 0.186677 1.76482i
\(219\) 116.158 + 229.983i 0.530403 + 1.05015i
\(220\) 5.08345 23.7603i 0.0231066 0.108001i
\(221\) 18.9349 + 107.385i 0.0856781 + 0.485905i
\(222\) −2.02813 + 12.4655i −0.00913572 + 0.0561510i
\(223\) −95.4717 + 113.779i −0.428124 + 0.510219i −0.936380 0.350987i \(-0.885846\pi\)
0.508256 + 0.861206i \(0.330290\pi\)
\(224\) −51.9835 144.315i −0.232069 0.644264i
\(225\) −151.491 159.113i −0.673292 0.707169i
\(226\) 154.521 10.7019i 0.683721 0.0473534i
\(227\) 163.627 + 28.8519i 0.720826 + 0.127101i 0.522014 0.852937i \(-0.325181\pi\)
0.198812 + 0.980038i \(0.436292\pi\)
\(228\) −159.938 + 42.0212i −0.701482 + 0.184304i
\(229\) −218.671 79.5896i −0.954894 0.347553i −0.182863 0.983138i \(-0.558537\pi\)
−0.772031 + 0.635585i \(0.780759\pi\)
\(230\) 37.2784 + 38.6543i 0.162080 + 0.168062i
\(231\) 13.4676 + 112.991i 0.0583012 + 0.489138i
\(232\) 10.6873 + 324.617i 0.0460660 + 1.39921i
\(233\) −102.146 176.922i −0.438394 0.759320i 0.559172 0.829052i \(-0.311119\pi\)
−0.997566 + 0.0697314i \(0.977786\pi\)
\(234\) −143.952 6.14385i −0.615180 0.0262558i
\(235\) 51.5099 + 29.7392i 0.219191 + 0.126550i
\(236\) −174.711 6.33379i −0.740302 0.0268381i
\(237\) 64.8058 + 15.2035i 0.273442 + 0.0641499i
\(238\) 36.0810 125.514i 0.151601 0.527371i
\(239\) 59.1551 + 70.4983i 0.247511 + 0.294972i 0.875468 0.483276i \(-0.160553\pi\)
−0.627957 + 0.778248i \(0.716109\pi\)
\(240\) −24.9630 27.1046i −0.104012 0.112936i
\(241\) −194.954 + 70.9574i −0.808938 + 0.294429i −0.713185 0.700976i \(-0.752748\pi\)
−0.0957527 + 0.995405i \(0.530526\pi\)
\(242\) −51.2602 + 104.922i −0.211819 + 0.433561i
\(243\) 58.7276 + 235.797i 0.241677 + 0.970357i
\(244\) 212.640 + 272.914i 0.871475 + 1.11850i
\(245\) 18.7720 6.83244i 0.0766203 0.0278875i
\(246\) −45.7464 76.8653i −0.185961 0.312460i
\(247\) 70.9044 + 84.5006i 0.287062 + 0.342108i
\(248\) −173.131 + 69.5478i −0.698108 + 0.280435i
\(249\) −63.7731 14.9612i −0.256117 0.0600853i
\(250\) −69.3247 + 30.8101i −0.277299 + 0.123240i
\(251\) 269.842 + 155.793i 1.07507 + 0.620690i 0.929561 0.368667i \(-0.120186\pi\)
0.145505 + 0.989357i \(0.453519\pi\)
\(252\) 151.680 + 82.2939i 0.601905 + 0.326563i
\(253\) 138.382 + 239.684i 0.546964 + 0.947370i
\(254\) −182.166 + 250.380i −0.717191 + 0.985749i
\(255\) −3.71307 31.1521i −0.0145611 0.122165i
\(256\) 170.283 + 191.154i 0.665166 + 0.746695i
\(257\) 281.815 + 102.572i 1.09656 + 0.399114i 0.826046 0.563603i \(-0.190585\pi\)
0.270511 + 0.962717i \(0.412808\pi\)
\(258\) −228.191 264.744i −0.884460 1.02614i
\(259\) −9.93659 1.75209i −0.0383652 0.00676482i
\(260\) −9.23808 + 22.7778i −0.0355311 + 0.0876067i
\(261\) −251.955 264.632i −0.965343 1.01391i
\(262\) 145.765 98.1788i 0.556356 0.374728i
\(263\) −126.004 + 150.166i −0.479102 + 0.570972i −0.950411 0.310996i \(-0.899337\pi\)
0.471309 + 0.881968i \(0.343782\pi\)
\(264\) −91.1482 166.605i −0.345258 0.631078i
\(265\) 5.81636 + 32.9862i 0.0219485 + 0.124476i
\(266\) −31.8759 128.211i −0.119834 0.481995i
\(267\) 180.143 + 356.668i 0.674694 + 1.33583i
\(268\) 87.2722 139.252i 0.325642 0.519597i
\(269\) −110.390 −0.410372 −0.205186 0.978723i \(-0.565780\pi\)
−0.205186 + 0.978723i \(0.565780\pi\)
\(270\) 41.2534 + 4.07894i 0.152790 + 0.0151072i
\(271\) 157.984i 0.582967i 0.956576 + 0.291484i \(0.0941489\pi\)
−0.956576 + 0.291484i \(0.905851\pi\)
\(272\) 22.2059 + 216.823i 0.0816393 + 0.797144i
\(273\) 6.43144 114.931i 0.0235584 0.420992i
\(274\) −127.203 511.631i −0.464243 1.86727i
\(275\) −190.223 + 33.5415i −0.691720 + 0.121969i
\(276\) 417.939 + 38.6173i 1.51427 + 0.139918i
\(277\) 133.295 + 111.848i 0.481210 + 0.403783i 0.850864 0.525386i \(-0.176079\pi\)
−0.369654 + 0.929170i \(0.620524\pi\)
\(278\) 367.871 247.776i 1.32328 0.891282i
\(279\) 93.3478 188.000i 0.334580 0.673836i
\(280\) 21.9166 19.6548i 0.0782737 0.0701956i
\(281\) −64.5172 + 365.895i −0.229599 + 1.30212i 0.624098 + 0.781346i \(0.285467\pi\)
−0.853696 + 0.520772i \(0.825644\pi\)
\(282\) 456.699 86.7814i 1.61950 0.307735i
\(283\) 142.624 391.857i 0.503973 1.38465i −0.383392 0.923586i \(-0.625244\pi\)
0.887365 0.461068i \(-0.152534\pi\)
\(284\) 329.277 106.504i 1.15942 0.375015i
\(285\) −19.0099 25.4137i −0.0667013 0.0891708i
\(286\) −74.5279 + 102.435i −0.260587 + 0.358166i
\(287\) 61.8878 35.7309i 0.215637 0.124498i
\(288\) −286.093 33.0836i −0.993380 0.114874i
\(289\) 51.7160 89.5748i 0.178948 0.309947i
\(290\) −56.9617 + 25.3156i −0.196420 + 0.0872952i
\(291\) −357.591 335.835i −1.22884 1.15407i
\(292\) 230.210 254.992i 0.788392 0.873259i
\(293\) 33.9075 28.4518i 0.115725 0.0971050i −0.583089 0.812408i \(-0.698156\pi\)
0.698814 + 0.715304i \(0.253712\pi\)
\(294\) 76.2689 136.238i 0.259418 0.463395i
\(295\) −11.4756 31.5290i −0.0389004 0.106878i
\(296\) 16.4782 3.46820i 0.0556697 0.0117169i
\(297\) 201.256 + 71.6985i 0.677631 + 0.241409i
\(298\) 0.833720 1.70650i 0.00279772 0.00572650i
\(299\) −95.7568 263.090i −0.320257 0.879898i
\(300\) −125.089 + 264.877i −0.416962 + 0.882923i
\(301\) 213.905 179.488i 0.710649 0.596305i
\(302\) −123.328 + 429.017i −0.408370 + 1.42059i
\(303\) −77.2777 + 23.3272i −0.255042 + 0.0769876i
\(304\) 129.125 + 178.723i 0.424752 + 0.587904i
\(305\) −33.1995 + 57.5032i −0.108851 + 0.188535i
\(306\) −180.944 165.479i −0.591320 0.540781i
\(307\) −279.865 + 161.580i −0.911612 + 0.526320i −0.880950 0.473210i \(-0.843095\pi\)
−0.0306628 + 0.999530i \(0.509762\pi\)
\(308\) 134.056 71.0504i 0.435248 0.230683i
\(309\) −56.4781 + 131.755i −0.182777 + 0.426391i
\(310\) −24.8571 25.7745i −0.0801841 0.0831436i
\(311\) 1.32044 3.62789i 0.00424580 0.0116652i −0.937552 0.347846i \(-0.886913\pi\)
0.941797 + 0.336181i \(0.109135\pi\)
\(312\) 61.5385 + 181.988i 0.197239 + 0.583294i
\(313\) −5.20268 + 29.5059i −0.0166220 + 0.0942679i −0.991990 0.126315i \(-0.959685\pi\)
0.975368 + 0.220583i \(0.0707960\pi\)
\(314\) 367.992 25.4865i 1.17195 0.0811673i
\(315\) −3.69503 + 32.9120i −0.0117303 + 0.104483i
\(316\) −12.2352 87.9064i −0.0387190 0.278185i
\(317\) −429.901 360.730i −1.35615 1.13795i −0.977150 0.212553i \(-0.931822\pi\)
−0.379004 0.925395i \(-0.623733\pi\)
\(318\) 202.755 + 165.604i 0.637593 + 0.520769i
\(319\) −316.373 + 55.7851i −0.991766 + 0.174875i
\(320\) −21.7138 + 44.0726i −0.0678557 + 0.137727i
\(321\) 153.813 + 100.663i 0.479167 + 0.313592i
\(322\) −35.2724 + 333.461i −0.109542 + 1.03559i
\(323\) 187.723i 0.581184i
\(324\) 265.041 186.358i 0.818027 0.575180i
\(325\) 195.398 0.601225
\(326\) −417.737 44.1869i −1.28140 0.135543i
\(327\) 317.783 485.570i 0.971814 1.48492i
\(328\) −73.6139 + 93.8349i −0.224433 + 0.286082i
\(329\) 64.4919 + 365.752i 0.196024 + 1.11171i
\(330\) 23.0558 28.2279i 0.0698660 0.0855391i
\(331\) 90.3131 107.631i 0.272849 0.325169i −0.612168 0.790728i \(-0.709702\pi\)
0.885017 + 0.465559i \(0.154147\pi\)
\(332\) 12.0402 + 86.5055i 0.0362657 + 0.260559i
\(333\) −11.2434 + 15.2469i −0.0337638 + 0.0457865i
\(334\) −18.2190 263.059i −0.0545479 0.787601i
\(335\) 31.0608 + 5.47685i 0.0927188 + 0.0163488i
\(336\) 29.4565 228.195i 0.0876682 0.679152i
\(337\) −398.458 145.027i −1.18237 0.430346i −0.325330 0.945601i \(-0.605475\pi\)
−0.857037 + 0.515254i \(0.827697\pi\)
\(338\) −151.052 + 145.675i −0.446899 + 0.430991i
\(339\) 213.544 + 91.5380i 0.629924 + 0.270024i
\(340\) −36.9599 + 19.5889i −0.108706 + 0.0576145i
\(341\) −92.2724 159.820i −0.270593 0.468682i
\(342\) −242.222 53.4505i −0.708251 0.156288i
\(343\) 311.440 + 179.810i 0.907988 + 0.524227i
\(344\) −219.604 + 411.033i −0.638383 + 1.19486i
\(345\) 23.2782 + 77.1152i 0.0674731 + 0.223522i
\(346\) −389.817 112.059i −1.12664 0.323870i
\(347\) −73.0006 86.9988i −0.210376 0.250717i 0.650530 0.759481i \(-0.274547\pi\)
−0.860906 + 0.508764i \(0.830103\pi\)
\(348\) −208.043 + 440.535i −0.597826 + 1.26590i
\(349\) 94.6615 34.4540i 0.271236 0.0987220i −0.202821 0.979216i \(-0.565011\pi\)
0.474058 + 0.880494i \(0.342789\pi\)
\(350\) −210.272 102.730i −0.600778 0.293514i
\(351\) −187.903 106.781i −0.535337 0.304221i
\(352\) −163.405 + 193.428i −0.464219 + 0.549512i
\(353\) −24.4299 + 8.89174i −0.0692064 + 0.0251891i −0.376391 0.926461i \(-0.622835\pi\)
0.307185 + 0.951650i \(0.400613\pi\)
\(354\) −228.823 128.100i −0.646392 0.361864i
\(355\) 42.6926 + 50.8791i 0.120261 + 0.143321i
\(356\) 357.021 395.452i 1.00287 1.11082i
\(357\) 134.107 142.795i 0.375651 0.399987i
\(358\) −56.1153 126.263i −0.156747 0.352690i
\(359\) 50.8289 + 29.3461i 0.141585 + 0.0817439i 0.569119 0.822255i \(-0.307284\pi\)
−0.427534 + 0.903999i \(0.640618\pi\)
\(360\) −14.7523 53.2676i −0.0409786 0.147966i
\(361\) −85.5489 148.175i −0.236978 0.410457i
\(362\) 145.107 + 105.574i 0.400848 + 0.291641i
\(363\) −140.262 + 104.919i −0.386398 + 0.289032i
\(364\) −146.032 + 47.2339i −0.401186 + 0.129764i
\(365\) 61.9551 + 22.5498i 0.169740 + 0.0617803i
\(366\) 96.8787 + 509.838i 0.264696 + 1.39300i
\(367\) −107.710 18.9921i −0.293487 0.0517497i 0.0249660 0.999688i \(-0.492052\pi\)
−0.318453 + 0.947939i \(0.603163\pi\)
\(368\) −152.822 538.355i −0.415276 1.46292i
\(369\) −8.41125 133.909i −0.0227947 0.362896i
\(370\) 1.80540 + 2.68046i 0.00487946 + 0.00724449i
\(371\) −134.438 + 160.218i −0.362368 + 0.431853i
\(372\) −278.679 25.7498i −0.749138 0.0692200i
\(373\) 11.6320 + 65.9686i 0.0311851 + 0.176859i 0.996422 0.0845170i \(-0.0269347\pi\)
−0.965237 + 0.261376i \(0.915824\pi\)
\(374\) −209.213 + 52.0150i −0.559394 + 0.139077i
\(375\) −113.616 6.35789i −0.302977 0.0169544i
\(376\) −327.409 526.299i −0.870770 1.39973i
\(377\) 324.980 0.862016
\(378\) 146.067 + 213.699i 0.386420 + 0.565342i
\(379\) 276.576i 0.729753i 0.931056 + 0.364876i \(0.118889\pi\)
−0.931056 + 0.364876i \(0.881111\pi\)
\(380\) −22.4717 + 35.8560i −0.0591361 + 0.0943580i
\(381\) −414.576 + 209.391i −1.08813 + 0.549584i
\(382\) −573.968 + 142.701i −1.50253 + 0.373562i
\(383\) −39.6849 + 6.99751i −0.103616 + 0.0182703i −0.225216 0.974309i \(-0.572309\pi\)
0.121600 + 0.992579i \(0.461198\pi\)
\(384\) 96.3426 + 371.718i 0.250892 + 0.968015i
\(385\) 22.3058 + 18.7168i 0.0579371 + 0.0486150i
\(386\) 347.865 + 516.472i 0.901205 + 1.33801i
\(387\) −123.227 509.584i −0.318416 1.31676i
\(388\) −245.833 + 606.135i −0.633590 + 1.56220i
\(389\) −25.8684 + 146.707i −0.0664998 + 0.377139i 0.933336 + 0.359005i \(0.116884\pi\)
−0.999836 + 0.0181346i \(0.994227\pi\)
\(390\) −27.9274 + 24.0715i −0.0716088 + 0.0617217i
\(391\) 162.960 447.728i 0.416777 1.14508i
\(392\) −206.094 29.3842i −0.525750 0.0749596i
\(393\) 261.766 31.2003i 0.666071 0.0793901i
\(394\) −233.040 169.550i −0.591472 0.430331i
\(395\) 14.7515 8.51677i 0.0373455 0.0215614i
\(396\) −7.54626 284.762i −0.0190562 0.719096i
\(397\) 373.378 646.710i 0.940499 1.62899i 0.175978 0.984394i \(-0.443691\pi\)
0.764521 0.644598i \(-0.222975\pi\)
\(398\) −158.287 356.156i −0.397707 0.894865i
\(399\) 45.2622 192.933i 0.113439 0.483540i
\(400\) 389.545 + 28.2814i 0.973864 + 0.0707036i
\(401\) 44.3852 37.2436i 0.110686 0.0928768i −0.585765 0.810481i \(-0.699206\pi\)
0.696451 + 0.717604i \(0.254761\pi\)
\(402\) 211.832 126.072i 0.526946 0.313612i
\(403\) 63.8501 + 175.427i 0.158437 + 0.435302i
\(404\) 66.1501 + 84.9009i 0.163738 + 0.210151i
\(405\) 52.2611 + 33.6949i 0.129040 + 0.0831974i
\(406\) −349.719 170.857i −0.861376 0.420830i
\(407\) 5.69661 + 15.6513i 0.0139966 + 0.0384553i
\(408\) −118.851 + 304.568i −0.291303 + 0.746489i
\(409\) 226.059 189.686i 0.552712 0.463780i −0.323146 0.946349i \(-0.604741\pi\)
0.875858 + 0.482569i \(0.160296\pi\)
\(410\) −21.9982 6.32373i −0.0536542 0.0154237i
\(411\) 180.621 769.907i 0.439467 1.87325i
\(412\) 191.007 + 6.92457i 0.463610 + 0.0168072i
\(413\) 104.754 181.439i 0.253641 0.439319i
\(414\) 531.312 + 337.752i 1.28336 + 0.815826i
\(415\) −14.5164 + 8.38105i −0.0349793 + 0.0201953i
\(416\) 196.767 163.995i 0.472998 0.394219i
\(417\) 660.625 78.7410i 1.58423 0.188827i
\(418\) −156.978 + 151.391i −0.375546 + 0.362179i
\(419\) −150.722 + 414.106i −0.359719 + 0.988320i 0.619408 + 0.785069i \(0.287373\pi\)
−0.979127 + 0.203250i \(0.934849\pi\)
\(420\) 42.7089 11.2211i 0.101688 0.0267169i
\(421\) 11.8192 67.0301i 0.0280742 0.159216i −0.967548 0.252688i \(-0.918685\pi\)
0.995622 + 0.0934717i \(0.0297965\pi\)
\(422\) 16.0436 + 231.648i 0.0380179 + 0.548929i
\(423\) 668.916 + 196.946i 1.58136 + 0.465594i
\(424\) 108.526 331.754i 0.255957 0.782439i
\(425\) 254.733 + 213.746i 0.599372 + 0.502933i
\(426\) 512.372 + 83.3624i 1.20275 + 0.195686i
\(427\) −408.308 + 71.9957i −0.956225 + 0.168608i
\(428\) 51.2779 239.675i 0.119808 0.559988i
\(429\) −169.611 + 85.6661i −0.395365 + 0.199688i
\(430\) −88.9419 9.40799i −0.206842 0.0218790i
\(431\) 53.6108i 0.124387i 0.998064 + 0.0621935i \(0.0198096\pi\)
−0.998064 + 0.0621935i \(0.980190\pi\)
\(432\) −359.148 240.076i −0.831362 0.555732i
\(433\) −686.735 −1.58599 −0.792997 0.609226i \(-0.791480\pi\)
−0.792997 + 0.609226i \(0.791480\pi\)
\(434\) 23.5195 222.350i 0.0541923 0.512327i
\(435\) −93.3548 5.22407i −0.214609 0.0120093i
\(436\) −756.629 161.879i −1.73539 0.371282i
\(437\) −83.6975 474.672i −0.191527 1.08621i
\(438\) 481.851 182.644i 1.10012 0.416995i
\(439\) 74.5743 88.8742i 0.169873 0.202447i −0.674391 0.738375i \(-0.735594\pi\)
0.844264 + 0.535928i \(0.180038\pi\)
\(440\) −46.1875 15.1092i −0.104972 0.0343391i
\(441\) 195.084 129.585i 0.442367 0.293844i
\(442\) 217.562 15.0680i 0.492222 0.0340905i
\(443\) −126.688 22.3386i −0.285978 0.0504257i 0.0288188 0.999585i \(-0.490825\pi\)
−0.314797 + 0.949159i \(0.601937\pi\)
\(444\) 24.3661 + 6.65625i 0.0548785 + 0.0149916i
\(445\) 96.0828 + 34.9713i 0.215916 + 0.0785871i
\(446\) 206.210 + 213.821i 0.462354 + 0.479419i
\(447\) 2.28129 1.70645i 0.00510356 0.00381755i
\(448\) −297.965 + 73.0292i −0.665101 + 0.163012i
\(449\) 361.840 + 626.725i 0.805880 + 1.39583i 0.915695 + 0.401873i \(0.131641\pi\)
−0.109815 + 0.993952i \(0.535026\pi\)
\(450\) −348.331 + 267.826i −0.774069 + 0.595169i
\(451\) −102.161 58.9825i −0.226520 0.130782i
\(452\) 11.2231 309.579i 0.0248299 0.684909i
\(453\) −458.389 + 488.085i −1.01190 + 1.07745i
\(454\) 91.8077 319.370i 0.202220 0.703457i
\(455\) −18.9339 22.5645i −0.0416129 0.0495924i
\(456\) 49.9285 + 326.942i 0.109492 + 0.716977i
\(457\) 49.8588 18.1471i 0.109100 0.0397092i −0.286893 0.957963i \(-0.592623\pi\)
0.395993 + 0.918253i \(0.370400\pi\)
\(458\) −204.300 + 418.171i −0.446070 + 0.913037i
\(459\) −128.154 344.754i −0.279202 0.751099i
\(460\) 84.7224 66.0111i 0.184179 0.143502i
\(461\) 198.117 72.1085i 0.429754 0.156418i −0.118081 0.993004i \(-0.537674\pi\)
0.547835 + 0.836586i \(0.315452\pi\)
\(462\) 227.561 3.01468i 0.492557 0.00652529i
\(463\) 407.123 + 485.190i 0.879315 + 1.04793i 0.998483 + 0.0550524i \(0.0175326\pi\)
−0.119169 + 0.992874i \(0.538023\pi\)
\(464\) 647.880 + 47.0368i 1.39629 + 0.101372i
\(465\) −15.5218 51.4201i −0.0333802 0.110581i
\(466\) −373.370 + 165.937i −0.801222 + 0.356089i
\(467\) −254.886 147.159i −0.545795 0.315115i 0.201629 0.979462i \(-0.435376\pi\)
−0.747424 + 0.664347i \(0.768710\pi\)
\(468\) −42.5042 + 285.014i −0.0908209 + 0.609005i
\(469\) 98.4705 + 170.556i 0.209958 + 0.363659i
\(470\) 69.9851 96.1916i 0.148905 0.204663i
\(471\) 508.556 + 217.998i 1.07974 + 0.462840i
\(472\) −49.3531 + 346.152i −0.104562 + 0.733372i
\(473\) −433.144 157.651i −0.915737 0.333301i
\(474\) 43.8722 125.694i 0.0925574 0.265177i
\(475\) 331.281 + 58.4137i 0.697433 + 0.122976i
\(476\) −242.045 98.1674i −0.508499 0.206234i
\(477\) 157.175 + 359.858i 0.329508 + 0.754420i
\(478\) 152.659 102.822i 0.319371 0.215110i
\(479\) −349.313 + 416.295i −0.729255 + 0.869092i −0.995495 0.0948146i \(-0.969774\pi\)
0.266240 + 0.963907i \(0.414219\pi\)
\(480\) −59.1602 + 43.9467i −0.123250 + 0.0915556i
\(481\) −2.92579 16.5930i −0.00608273 0.0344969i
\(482\) 100.113 + 402.673i 0.207704 + 0.835421i
\(483\) −275.435 + 420.863i −0.570259 + 0.871352i
\(484\) 197.895 + 124.025i 0.408875 + 0.256250i
\(485\) −125.532 −0.258830
\(486\) 481.332 67.1966i 0.990395 0.138265i
\(487\) 168.509i 0.346015i −0.984921 0.173007i \(-0.944652\pi\)
0.984921 0.173007i \(-0.0553484\pi\)
\(488\) 587.535 365.505i 1.20397 0.748985i
\(489\) −527.229 345.047i −1.07818 0.705618i
\(490\) −9.63981 38.7730i −0.0196731 0.0791287i
\(491\) −394.774 + 69.6093i −0.804021 + 0.141771i −0.560532 0.828133i \(-0.689403\pi\)
−0.243489 + 0.969904i \(0.578292\pi\)
\(492\) −162.502 + 74.8142i −0.330288 + 0.152061i
\(493\) 423.664 + 355.496i 0.859359 + 0.721088i
\(494\) 182.980 123.245i 0.370406 0.249483i
\(495\) 50.1002 21.8822i 0.101213 0.0442065i
\(496\) 101.901 + 358.972i 0.205445 + 0.723734i
\(497\) −72.0163 + 408.425i −0.144902 + 0.821780i
\(498\) −43.1730 + 123.691i −0.0866929 + 0.248376i
\(499\) −54.0863 + 148.601i −0.108389 + 0.297797i −0.982015 0.188800i \(-0.939540\pi\)
0.873626 + 0.486598i \(0.161762\pi\)
\(500\) 46.6938 + 144.362i 0.0933876 + 0.288724i
\(501\) 155.835 363.541i 0.311049 0.725630i
\(502\) 366.627 503.914i 0.730333 1.00381i
\(503\) 94.5144 54.5679i 0.187901 0.108485i −0.403098 0.915157i \(-0.632067\pi\)
0.591000 + 0.806672i \(0.298733\pi\)
\(504\) 195.585 284.364i 0.388066 0.564214i
\(505\) −10.3280 + 17.8887i −0.0204515 + 0.0354231i
\(506\) 505.822 224.804i 0.999649 0.444276i
\(507\) −301.348 + 90.9657i −0.594375 + 0.179420i
\(508\) 459.658 + 414.987i 0.904838 + 0.816903i
\(509\) −177.370 + 148.831i −0.348467 + 0.292399i −0.800174 0.599768i \(-0.795260\pi\)
0.451707 + 0.892166i \(0.350815\pi\)
\(510\) −62.7398 + 0.831163i −0.123019 + 0.00162973i
\(511\) 140.805 + 386.859i 0.275548 + 0.757062i
\(512\) 416.011 298.461i 0.812521 0.582931i
\(513\) −286.652 237.212i −0.558775 0.462401i
\(514\) 263.295 538.924i 0.512246 1.04849i
\(515\) 12.5460 + 34.4699i 0.0243612 + 0.0669318i
\(516\) −574.558 + 398.153i −1.11348 + 0.771613i
\(517\) 469.643 394.077i 0.908400 0.762238i
\(518\) −5.57520 + 19.3943i −0.0107629 + 0.0374408i
\(519\) −443.488 416.505i −0.854505 0.802515i
\(520\) 43.3593 + 23.1656i 0.0833832 + 0.0445493i
\(521\) −96.0523 + 166.367i −0.184361 + 0.319323i −0.943361 0.331768i \(-0.892355\pi\)
0.759000 + 0.651091i \(0.225688\pi\)
\(522\) −579.333 + 445.440i −1.10983 + 0.853334i
\(523\) 295.086 170.368i 0.564217 0.325751i −0.190619 0.981664i \(-0.561050\pi\)
0.754836 + 0.655913i \(0.227716\pi\)
\(524\) −164.602 310.568i −0.314126 0.592687i
\(525\) −210.266 281.098i −0.400507 0.535425i
\(526\) 272.156 + 282.202i 0.517408 + 0.536505i
\(527\) −108.661 + 298.543i −0.206187 + 0.566495i
\(528\) −350.536 + 146.235i −0.663894 + 0.276960i
\(529\) −120.574 + 683.812i −0.227929 + 1.29265i
\(530\) 66.8301 4.62854i 0.126094 0.00873310i
\(531\) −217.648 327.659i −0.409884 0.617060i
\(532\) −261.705 + 36.4252i −0.491927 + 0.0684685i
\(533\) 91.4146 + 76.7059i 0.171509 + 0.143914i
\(534\) 747.276 283.252i 1.39939 0.530434i
\(535\) 46.3246 8.16827i 0.0865880 0.0152678i
\(536\) −258.599 202.872i −0.482460 0.378492i
\(537\) 11.5798 206.933i 0.0215639 0.385350i
\(538\) −23.2239 + 219.555i −0.0431671 + 0.408096i
\(539\) 205.910i 0.382022i
\(540\) 16.7915 81.1909i 0.0310954 0.150353i
\(541\) −543.807 −1.00519 −0.502595 0.864522i \(-0.667621\pi\)
−0.502595 + 0.864522i \(0.667621\pi\)
\(542\) 314.215 + 33.2367i 0.579733 + 0.0613223i
\(543\) 121.352 + 240.266i 0.223484 + 0.442479i
\(544\) 435.912 + 1.44986i 0.801309 + 0.00266518i
\(545\) −25.7864 146.242i −0.0473145 0.268334i
\(546\) −227.233 36.9707i −0.416178 0.0677118i
\(547\) −163.630 + 195.007i −0.299141 + 0.356502i −0.894588 0.446893i \(-0.852531\pi\)
0.595447 + 0.803395i \(0.296975\pi\)
\(548\) −1044.35 + 145.357i −1.90574 + 0.265250i
\(549\) −219.861 + 746.747i −0.400476 + 1.36020i
\(550\) 26.6916 + 385.392i 0.0485302 + 0.700713i
\(551\) 550.976 + 97.1519i 0.999956 + 0.176319i
\(552\) 164.732 823.115i 0.298428 1.49115i
\(553\) 99.9461 + 36.3774i 0.180734 + 0.0657819i
\(554\) 250.497 241.581i 0.452161 0.436066i
\(555\) 0.573739 + 4.81359i 0.00103376 + 0.00867313i
\(556\) −415.411 783.788i −0.747142 1.40969i
\(557\) −104.885 181.666i −0.188303 0.326150i 0.756382 0.654131i \(-0.226965\pi\)
−0.944685 + 0.327980i \(0.893632\pi\)
\(558\) −354.276 225.211i −0.634903 0.403605i
\(559\) 403.818 + 233.144i 0.722393 + 0.417074i
\(560\) −34.4806 47.7251i −0.0615726 0.0852233i
\(561\) −314.826 73.8586i −0.561187 0.131655i
\(562\) 714.157 + 205.296i 1.27074 + 0.365295i
\(563\) −436.787 520.543i −0.775821 0.924588i 0.222916 0.974838i \(-0.428443\pi\)
−0.998737 + 0.0502501i \(0.983998\pi\)
\(564\) −76.5195 926.588i −0.135673 1.64289i
\(565\) 55.8677 20.3342i 0.0988809 0.0359897i
\(566\) −749.361 366.105i −1.32396 0.646829i
\(567\) 48.5859 + 385.222i 0.0856895 + 0.679404i
\(568\) −142.554 677.306i −0.250975 1.19244i
\(569\) −727.101 + 264.643i −1.27786 + 0.465102i −0.889723 0.456501i \(-0.849103\pi\)
−0.388135 + 0.921603i \(0.626880\pi\)
\(570\) −54.5447 + 32.4623i −0.0956924 + 0.0569514i
\(571\) 706.930 + 842.487i 1.23806 + 1.47546i 0.825377 + 0.564582i \(0.190962\pi\)
0.412679 + 0.910876i \(0.364593\pi\)
\(572\) 188.055 + 169.779i 0.328768 + 0.296817i
\(573\) −863.712 202.628i −1.50735 0.353626i
\(574\) −58.0454 130.606i −0.101124 0.227536i
\(575\) −739.414 426.901i −1.28594 0.742436i
\(576\) −125.989 + 562.052i −0.218730 + 0.975785i
\(577\) −26.4305 45.7790i −0.0458068 0.0793398i 0.842213 0.539145i \(-0.181253\pi\)
−0.888020 + 0.459805i \(0.847919\pi\)
\(578\) −167.276 121.703i −0.289404 0.210559i
\(579\) 110.548 + 927.483i 0.190930 + 1.60187i
\(580\) 38.3667 + 118.617i 0.0661495 + 0.204513i
\(581\) −98.3534 35.7977i −0.169283 0.0616139i
\(582\) −743.173 + 640.562i −1.27693 + 1.10062i
\(583\) 340.006 + 59.9522i 0.583200 + 0.102834i
\(584\) −458.722 511.512i −0.785483 0.875876i
\(585\) −53.7552 + 12.9990i −0.0918893 + 0.0222206i
\(586\) −49.4544 73.4244i −0.0843931 0.125298i
\(587\) 714.090 851.019i 1.21651 1.44978i 0.360543 0.932743i \(-0.382591\pi\)
0.855965 0.517034i \(-0.172964\pi\)
\(588\) −254.919 180.353i −0.433536 0.306723i
\(589\) 55.8091 + 316.509i 0.0947522 + 0.537367i
\(590\) −65.1224 + 16.1908i −0.110377 + 0.0274421i
\(591\) −194.890 385.865i −0.329763 0.652901i
\(592\) −3.43123 33.5032i −0.00579599 0.0565933i
\(593\) 1059.78 1.78715 0.893575 0.448914i \(-0.148189\pi\)
0.893575 + 0.448914i \(0.148189\pi\)
\(594\) 184.942 385.196i 0.311350 0.648478i
\(595\) 50.1283i 0.0842492i
\(596\) −3.21866 2.01720i −0.00540044 0.00338457i
\(597\) 32.6638 583.706i 0.0547132 0.977732i
\(598\) −543.405 + 135.102i −0.908705 + 0.225924i
\(599\) 771.927 136.112i 1.28869 0.227231i 0.513026 0.858373i \(-0.328524\pi\)
0.775668 + 0.631142i \(0.217413\pi\)
\(600\) 500.498 + 304.514i 0.834164 + 0.507523i
\(601\) −733.365 615.367i −1.22024 1.02390i −0.998812 0.0487281i \(-0.984483\pi\)
−0.221430 0.975176i \(-0.571072\pi\)
\(602\) −311.983 463.198i −0.518244 0.769431i
\(603\) 369.037 23.1805i 0.612002 0.0384419i
\(604\) 827.329 + 335.544i 1.36975 + 0.555536i
\(605\) −7.78332 + 44.1414i −0.0128650 + 0.0729610i
\(606\) 30.1380 + 158.605i 0.0497327 + 0.261725i
\(607\) 354.168 973.069i 0.583473 1.60308i −0.198729 0.980055i \(-0.563681\pi\)
0.782202 0.623025i \(-0.214096\pi\)
\(608\) 382.628 219.217i 0.629322 0.360554i
\(609\) −349.708 467.513i −0.574233 0.767674i
\(610\) 107.384 + 78.1281i 0.176039 + 0.128079i
\(611\) −537.097 + 310.093i −0.879046 + 0.507517i
\(612\) −367.189 + 325.067i −0.599982 + 0.531155i
\(613\) −366.538 + 634.862i −0.597941 + 1.03566i 0.395184 + 0.918602i \(0.370681\pi\)
−0.993125 + 0.117062i \(0.962652\pi\)
\(614\) 262.489 + 590.618i 0.427507 + 0.961919i
\(615\) −25.0270 23.5043i −0.0406943 0.0382183i
\(616\) −113.110 281.573i −0.183620 0.457098i
\(617\) −46.7240 + 39.2061i −0.0757278 + 0.0635431i −0.679866 0.733337i \(-0.737962\pi\)
0.604138 + 0.796880i \(0.293518\pi\)
\(618\) 250.166 + 140.048i 0.404799 + 0.226615i
\(619\) −283.250 778.223i −0.457593 1.25723i −0.927272 0.374389i \(-0.877852\pi\)
0.469678 0.882838i \(1.65563\pi\)
\(620\) −56.4925 + 44.0159i −0.0911169 + 0.0709933i
\(621\) 477.759 + 814.602i 0.769337 + 1.31176i
\(622\) −6.93773 3.38947i −0.0111539 0.00544931i
\(623\) 218.367 + 599.958i 0.350508 + 0.963014i
\(624\) 374.903 84.1076i 0.600806 0.134788i
\(625\) 445.185 373.555i 0.712296 0.597687i
\(626\) 57.5898 + 16.5551i 0.0919965 + 0.0264458i
\(627\) −313.171 + 94.5347i −0.499476 + 0.150773i
\(628\) 26.7279 737.263i 0.0425603 1.17399i
\(629\) 14.3369 24.8322i 0.0227931 0.0394788i
\(630\) 64.6814 + 14.2731i 0.102669 + 0.0226557i
\(631\) −273.648 + 157.991i −0.433673 + 0.250381i −0.700910 0.713250i \(-0.747223\pi\)
0.267237 + 0.963631i \(0.413889\pi\)
\(632\) −177.411 + 5.84089i −0.280714 + 0.00924192i
\(633\) −137.228 + 320.132i −0.216789 + 0.505737i
\(634\) −807.899 + 779.141i −1.27429 + 1.22893i
\(635\) −40.6492 + 111.683i −0.0640145 + 0.175878i
\(636\) 372.027 368.420i 0.584948 0.579276i
\(637\) −36.1707 + 205.134i −0.0567828 + 0.322031i
\(638\) 44.3927 + 640.972i 0.0695810 + 1.00466i
\(639\) 626.695 + 462.137i 0.980743 + 0.723219i
\(640\) 83.0880 + 52.4587i 0.129825 + 0.0819667i
\(641\) 445.886 + 374.143i 0.695610 + 0.583686i 0.920521 0.390693i \(-0.127765\pi\)
−0.224911 + 0.974379i \(0.572209\pi\)
\(642\) 232.568 284.741i 0.362256 0.443522i
\(643\) −884.213 + 155.911i −1.37514 + 0.242474i −0.811888 0.583814i \(-0.801560\pi\)
−0.563249 + 0.826287i \(0.690449\pi\)
\(644\) 655.800 + 140.307i 1.01832 + 0.217868i
\(645\) −112.254 73.4652i −0.174037 0.113899i
\(646\) 373.362 + 39.4931i 0.577960 + 0.0611348i
\(647\) 822.404i 1.27110i −0.772058 0.635552i \(-0.780773\pi\)
0.772058 0.635552i \(-0.219227\pi\)
\(648\) −314.889 566.347i −0.485940 0.873992i
\(649\) −345.843 −0.532885
\(650\) 41.1079 388.628i 0.0632429 0.597889i
\(651\) 183.659 280.629i 0.282118 0.431074i
\(652\) −175.767 + 821.544i −0.269582 + 1.26004i
\(653\) −199.644 1132.24i −0.305734 1.73390i −0.620030 0.784578i \(-0.712880\pi\)
0.314296 0.949325i \(-0.398232\pi\)
\(654\) −898.898 734.195i −1.37446 1.12262i
\(655\) 43.3611 51.6758i 0.0662002 0.0788943i
\(656\) 171.142 + 166.152i 0.260887 + 0.253280i
\(657\) 768.132 + 86.2382i 1.16915 + 0.131261i
\(658\) 741.013 51.3214i 1.12616 0.0779960i
\(659\) −354.825 62.5652i −0.538430 0.0949397i −0.102181 0.994766i \(-0.532582\pi\)
−0.436249 + 0.899826i \(0.643693\pi\)
\(660\) −51.2921 51.7943i −0.0777153 0.0784762i
\(661\) 766.959 + 279.150i 1.16030 + 0.422315i 0.849205 0.528063i \(-0.177082\pi\)
0.311097 + 0.950378i \(0.399304\pi\)
\(662\) −195.068 202.267i −0.294664 0.305540i
\(663\) 300.665 + 128.883i 0.453492 + 0.194394i
\(664\) 174.584 5.74781i 0.262928 0.00865634i
\(665\) −25.3552 43.9164i −0.0381281 0.0660398i
\(666\) 27.9592 + 25.5696i 0.0419808 + 0.0383928i
\(667\) −1229.77 710.008i −1.84373 1.06448i
\(668\) −527.031 19.1064i −0.788969 0.0286024i
\(669\) 128.766 + 426.572i 0.192476 + 0.637626i
\(670\) 17.4275 60.6247i 0.0260112 0.0904846i
\(671\) 439.929 + 524.287i 0.655632 + 0.781352i
\(672\) −447.661 106.594i −0.666162 0.158622i
\(673\) −218.010 + 79.3492i −0.323938 + 0.117904i −0.498870 0.866677i \(-0.666252\pi\)
0.174932 + 0.984580i \(0.444029\pi\)
\(674\) −372.272 + 761.983i −0.552332 + 1.13054i
\(675\) −648.278 + 118.880i −0.960412 + 0.176118i
\(676\) 257.956 + 331.075i 0.381591 + 0.489756i
\(677\) −115.647 + 42.0921i −0.170823 + 0.0621744i −0.426016 0.904716i \(-0.640083\pi\)
0.255193 + 0.966890i \(0.417861\pi\)
\(678\) 226.986 405.462i 0.334787 0.598026i
\(679\) −503.847 600.461i −0.742042 0.884331i
\(680\) 31.1849 + 77.6309i 0.0458601 + 0.114163i
\(681\) 341.234 363.341i 0.501078 0.533540i
\(682\) −337.280 + 149.898i −0.494545 + 0.219792i
\(683\) 293.573 + 169.494i 0.429829 + 0.248162i 0.699274 0.714854i \(-0.253507\pi\)
−0.269445 + 0.963016i \(0.586840\pi\)
\(684\) −157.266 + 470.511i −0.229922 + 0.687881i
\(685\) −101.181 175.251i −0.147710 0.255841i
\(686\) 423.145 581.596i 0.616830 0.847807i
\(687\) −559.023 + 418.158i −0.813716 + 0.608673i
\(688\) 771.306 + 523.244i 1.12108 + 0.760529i
\(689\) −328.193 119.452i −0.476332 0.173371i
\(690\) 158.272 30.0747i 0.229380 0.0435865i
\(691\) 757.805 + 133.621i 1.09668 + 0.193374i 0.692580 0.721342i \(-0.256474\pi\)
0.404099 + 0.914715i \(0.367585\pi\)
\(692\) −304.884 + 751.734i −0.440584 + 1.08632i
\(693\) 305.756 + 151.817i 0.441206 + 0.219072i
\(694\) −188.390 + 126.888i −0.271455 + 0.182836i
\(695\) 109.432 130.415i 0.157456 0.187648i
\(696\) 832.413 + 506.458i 1.19600 + 0.727670i
\(697\) 35.2649 + 199.997i 0.0505952 + 0.286940i
\(698\) −48.6108 195.521i −0.0696429 0.280116i
\(699\) −611.917 34.2424i −0.875418 0.0489877i
\(700\) −248.557 + 396.599i −0.355081 + 0.566570i
\(701\) 118.777 0.169440 0.0847199 0.996405i \(-0.473000\pi\)
0.0847199 + 0.996405i \(0.473000\pi\)
\(702\) −251.909 + 351.257i −0.358845 + 0.500366i
\(703\) 29.0066i 0.0412612i
\(704\) 350.333 + 365.690i 0.497632 + 0.519446i
\(705\) 159.273 80.4445i 0.225919 0.114106i
\(706\) 12.5453 + 50.4593i 0.0177695 + 0.0714721i
\(707\) −127.021 + 22.3971i −0.179661 + 0.0316791i
\(708\) −302.918 + 428.157i −0.427850 + 0.604741i
\(709\) 176.615 + 148.198i 0.249104 + 0.209023i 0.758787 0.651339i \(-0.225793\pi\)
−0.509682 + 0.860363i \(0.670237\pi\)
\(710\) 110.175 74.2076i 0.155177 0.104518i
\(711\) 144.628 137.700i 0.203415 0.193670i
\(712\) −711.407 793.275i −0.999167 1.11415i
\(713\) 141.650 803.338i 0.198668 1.12670i
\(714\) −255.793 296.768i −0.358253 0.415642i
\(715\) −16.6304 + 45.6916i −0.0232593 + 0.0639044i
\(716\) −262.930 + 85.0447i −0.367221 + 0.118778i
\(717\) 274.147 32.6760i 0.382352 0.0455732i
\(718\) 69.0599 94.9199i 0.0961837 0.132200i
\(719\) 157.002 90.6454i 0.218362 0.126072i −0.386829 0.922151i \(-0.626430\pi\)
0.605192 + 0.796080i \(0.293096\pi\)
\(720\) −109.048 + 18.1344i −0.151455 + 0.0251867i
\(721\) −114.525 + 198.362i −0.158841 + 0.275121i
\(722\) −312.704 + 138.976i −0.433108 + 0.192487i
\(723\) −142.155 + 605.946i −0.196619 + 0.838099i
\(724\) 240.504 266.393i 0.332188 0.367946i
\(725\) 759.189 637.035i 1.04716 0.878669i
\(726\) 179.165 + 301.041i 0.246783 + 0.414657i
\(727\) 129.850 + 356.761i 0.178611 + 0.490730i 0.996399 0.0847899i \(-0.0270219\pi\)
−0.817788 + 0.575520i \(0.804800\pi\)
\(728\) 63.2216 + 300.380i 0.0868428 + 0.412610i
\(729\) 688.378 + 239.952i 0.944277 + 0.329152i
\(730\) 57.8836 118.479i 0.0792926 0.162300i
\(731\) 271.405 + 745.678i 0.371279 + 1.02008i
\(732\) 1034.40 85.4228i 1.41311 0.116698i
\(733\) 201.798 169.329i 0.275305 0.231008i −0.494672 0.869079i \(-0.664712\pi\)
0.769977 + 0.638071i \(0.220268\pi\)
\(734\) −60.4335 + 210.229i −0.0823345 + 0.286415i
\(735\) 13.6880 58.3460i 0.0186232 0.0793823i
\(736\) −1102.89 + 190.689i −1.49849 + 0.259088i
\(737\) 162.549 281.543i 0.220555 0.382013i
\(738\) −268.101 11.4425i −0.363280 0.0155047i
\(739\) −515.106 + 297.397i −0.697032 + 0.402431i −0.806241 0.591587i \(-0.798501\pi\)
0.109209 + 0.994019i \(0.465168\pi\)
\(740\) 5.71100 3.02686i 0.00771757 0.00409035i
\(741\) 328.597 39.1660i 0.443451 0.0528556i
\(742\) 290.374 + 301.092i 0.391340 + 0.405784i
\(743\) 364.905 1002.57i 0.491124 1.34935i −0.408528 0.912746i \(-0.633958\pi\)
0.899652 0.436607i \(-0.143820\pi\)
\(744\) −109.843 + 548.849i −0.147638 + 0.737701i
\(745\) 0.126592 0.717937i 0.000169922 0.000963674i
\(746\) 133.652 9.25655i 0.179159 0.0124082i
\(747\) −142.323 + 135.505i −0.190526 + 0.181399i
\(748\) 59.4385 + 427.048i 0.0794632 + 0.570920i
\(749\) 225.003 + 188.800i 0.300405 + 0.252070i
\(750\) −36.5479 + 224.635i −0.0487305 + 0.299513i
\(751\) −923.903 + 162.909i −1.23023 + 0.216923i −0.750724 0.660616i \(-0.770295\pi\)
−0.479506 + 0.877539i \(0.659184\pi\)
\(752\) −1115.64 + 540.463i −1.48356 + 0.718701i
\(753\) 834.374 421.420i 1.10807 0.559655i
\(754\) 68.3693 646.354i 0.0906755 0.857234i
\(755\) 171.342i 0.226943i