Properties

Label 108.3.j.a.31.18
Level 108
Weight 3
Character 108.31
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 31.18
Character \(\chi\) \(=\) 108.31
Dual form 108.3.j.a.7.18

$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

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

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 −0.995232 0.0975344i \(-0.968904\pi\)
0.968571 + 0.248737i \(0.0800155\pi\)
\(6\) −4.64695 + 3.79550i −0.774492 + 0.632584i
\(7\) 3.08121 + 3.67204i 0.440172 + 0.524577i 0.939828 0.341647i \(-0.110985\pi\)
−0.499656 + 0.866224i \(0.666540\pi\)
\(8\) −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 −0.516237 0.856446i \(-0.672668\pi\)
−0.192183 + 0.981359i \(0.561557\pi\)
\(12\) −8.52652 8.44384i −0.710543 0.703654i
\(13\) 7.52188 2.73774i 0.578606 0.210595i −0.0361046 0.999348i \(-0.511495\pi\)
0.614711 + 0.788753i \(0.289273\pi\)
\(14\) −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 −0.593149 0.805093i \(-0.702115\pi\)
0.993805 + 0.111135i \(0.0354486\pi\)
\(18\) −17.1616 5.42951i −0.953422 0.301640i
\(19\) 11.9343 6.89025i 0.628119 0.362645i −0.151904 0.988395i \(-0.548541\pi\)
0.780023 + 0.625750i \(0.215207\pi\)
\(20\) −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 0.00879696 + 0.999961i \(0.497200\pi\)
−0.986297 + 0.164978i \(0.947245\pi\)
\(24\) 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 0.902026 0.431681i \(-0.142079\pi\)
0.413513 + 0.910498i \(0.364302\pi\)
\(30\) −2.24999 4.01912i −0.0749996 0.133971i
\(31\) 14.9912 17.8658i 0.483588 0.576317i −0.467987 0.883735i \(-0.655021\pi\)
0.951575 + 0.307418i \(0.0994650\pi\)
\(32\) 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 −0.879897 0.475164i \(-0.842389\pi\)
0.851453 + 0.524431i \(0.175722\pi\)
\(38\) 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 −0.165479 0.986213i \(-0.552917\pi\)
0.507161 + 0.861851i \(0.330695\pi\)
\(42\) −28.2555 5.36906i −0.672749 0.127835i
\(43\) 57.3675 10.1154i 1.33413 0.235243i 0.539318 0.842102i \(-0.318682\pi\)
0.794809 + 0.606860i \(0.207571\pi\)
\(44\) 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 −0.963577 0.267432i \(-0.913825\pi\)
−0.0960456 0.995377i \(1.46938\pi\)
\(48\) 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 0.526065 0.850445i \(-0.323667\pi\)
0.203470 + 0.979081i \(0.434778\pi\)
\(60\) 7.52030 5.32055i 0.125338 0.0886759i
\(61\) −66.2578 + 55.5969i −1.08619 + 0.911425i −0.996420 0.0845375i \(-0.973059\pi\)
−0.0897734 + 0.995962i \(0.528614\pi\)
\(62\) 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 0.789570 0.613661i \(-0.210304\pi\)
−0.999299 + 0.0374339i \(0.988082\pi\)
\(68\) −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 −0.131178 0.991359i \(-0.541876\pi\)
−0.924131 + 0.382076i \(0.875209\pi\)
\(72\) 71.6709 + 6.87573i 0.995430 + 0.0954962i
\(73\) −42.9421 74.3779i −0.588248 1.01888i −0.994462 0.105097i \(-0.966485\pi\)
0.406214 0.913778i \(-0.366849\pi\)
\(74\) −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 −0.882349 0.470595i \(-0.844039\pi\)
0.978411 + 0.206667i \(0.0662616\pi\)
\(80\) 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 −0.976516 0.215446i \(-0.930880\pi\)
0.886540 + 0.462651i \(0.153102\pi\)
\(84\) 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 −0.948649 0.316331i \(-0.897549\pi\)
0.200373 0.979720i \(-0.435784\pi\)
\(90\) 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 0.676265 + 0.736659i \(0.263598\pi\)
−0.383529 + 0.923529i \(0.625291\pi\)
\(98\) 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 −0.739100 0.673596i \(-0.764749\pi\)
0.535019 + 0.844840i \(0.320304\pi\)
\(102\) 13.1255 + 80.6732i 0.128681 + 0.790914i
\(103\) −47.0573 8.29747i −0.456867 0.0805580i −0.0595214 0.998227i \(-0.518957\pi\)
−0.397346 + 0.917669i \(0.630069\pi\)
\(104\) −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 \(-0.907564\pi\)
0.958131 0.286331i \(-0.0924356\pi\)
\(108\) 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 −0.865674 0.500608i \(-0.833110\pi\)
0.984686 0.174339i \(-0.0557790\pi\)
\(114\) −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 −0.924246 0.381799i \(-0.875305\pi\)
−0.131475 + 0.991319i \(0.541971\pi\)
\(128\) −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 −0.506088 0.862482i \(-0.668909\pi\)
0.937260 + 0.348631i \(0.113353\pi\)
\(132\) 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 0.997358 + 0.0726476i \(0.0231448\pi\)
0.810717 + 0.585438i \(0.199077\pi\)
\(138\) 2.77993 209.841i 0.0201444 1.52059i
\(139\) 142.549 169.883i 1.02553 1.22218i 0.0508232 0.998708i \(-0.483816\pi\)
0.974710 0.223475i \(-0.0717401\pi\)
\(140\) 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 −0.339024 0.940778i \(-0.610097\pi\)
0.345013 + 0.938598i \(0.387875\pi\)
\(150\) −138.283 + 48.2661i −0.921884 + 0.321774i
\(151\) −219.805 + 38.7576i −1.45566 + 0.256673i −0.844808 0.535070i \(-0.820285\pi\)
−0.610855 + 0.791743i \(0.709174\pi\)
\(152\) −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 −0.695020 0.718990i \(-0.744604\pi\)
0.899014 0.437919i \(-0.144284\pi\)
\(158\) 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 \(0.222841\pi\)
−0.764793 + 0.644276i \(0.777159\pi\)
\(164\) −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 0.548293 0.836286i \(-0.315278\pi\)
0.229200 + 0.973379i \(0.426389\pi\)
\(168\) 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 0.899687 + 0.436536i \(0.143795\pi\)
−0.696125 + 0.717921i \(0.745094\pi\)
\(174\) −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 0.657724 0.753259i \(-0.271519\pi\)
−0.323479 + 0.946235i \(0.604853\pi\)
\(180\) 25.7102 + 10.1368i 0.142834 + 0.0563157i
\(181\) −44.8622 77.7036i −0.247858 0.429302i 0.715074 0.699049i \(-0.246393\pi\)
−0.962931 + 0.269747i \(0.913060\pi\)
\(182\) −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 0.330071 + 0.943956i \(0.392927\pi\)
−0.859612 + 0.510947i \(0.829295\pi\)
\(192\) −179.761 67.4546i −0.936253 0.351326i
\(193\) −238.508 200.132i −1.23579 1.03695i −0.997841 0.0656734i \(-0.979080\pi\)
−0.237949 0.971278i \(-0.576475\pi\)
\(194\) −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 0.988892 0.148633i \(-0.0474872\pi\)
−0.623166 + 0.782090i \(0.714154\pi\)
\(198\) 141.194 + 18.7293i 0.713102 + 0.0945922i
\(199\) 168.765 + 97.4366i 0.848066 + 0.489631i 0.859998 0.510298i \(-0.170465\pi\)
−0.0119320 + 0.999929i \(0.503798\pi\)
\(200\) 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 −0.103995 0.994578i \(-0.533163\pi\)
−0.437889 + 0.899029i \(0.644274\pi\)
\(212\) 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 0.508256 0.861206i \(-0.330290\pi\)
−0.936380 + 0.350987i \(0.885846\pi\)
\(224\) −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 0.198812 0.980038i \(-0.436292\pi\)
0.522014 + 0.852937i \(0.325181\pi\)
\(228\) −159.938 42.0212i −0.701482 0.184304i
\(229\) −218.671 + 79.5896i −0.954894 + 0.347553i −0.772031 0.635585i \(-0.780759\pi\)
−0.182863 + 0.983138i \(0.558537\pi\)
\(230\) 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 −0.997566 0.0697314i \(-0.977786\pi\)
0.559172 + 0.829052i \(0.311119\pi\)
\(234\) −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 −0.627957 0.778248i \(-0.716109\pi\)
0.875468 + 0.483276i \(0.160553\pi\)
\(240\) −24.9630 + 27.1046i −0.104012 + 0.112936i
\(241\) −194.954 70.9574i −0.808938 0.294429i −0.0957527 0.995405i \(-0.530526\pi\)
−0.713185 + 0.700976i \(0.752748\pi\)
\(242\) −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 0.145505 0.989357i \(-0.453519\pi\)
0.929561 + 0.368667i \(0.120186\pi\)
\(252\) 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 0.270511 0.962717i \(-0.412808\pi\)
0.826046 + 0.563603i \(0.190585\pi\)
\(258\) −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 0.471309 0.881968i \(-0.343782\pi\)
−0.950411 + 0.310996i \(0.899337\pi\)
\(264\) −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 \(-0.905851\pi\)
0.956576 0.291484i \(-0.0941489\pi\)
\(272\) 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 −0.369654 0.929170i \(-0.620524\pi\)
0.850864 + 0.525386i \(0.176079\pi\)
\(278\) 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 −0.853696 0.520772i \(-0.825644\pi\)
0.624098 0.781346i \(-0.285467\pi\)
\(282\) 456.699 + 86.7814i 1.61950 + 0.307735i
\(283\) 142.624 + 391.857i 0.503973 + 1.38465i 0.887365 + 0.461068i \(0.152534\pi\)
−0.383392 + 0.923586i \(0.625244\pi\)
\(284\) 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 0.698814 0.715304i \(-0.253712\pi\)
−0.583089 + 0.812408i \(0.698156\pi\)
\(294\) 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 −0.0306628 0.999530i \(-0.509762\pi\)
−0.880950 + 0.473210i \(0.843095\pi\)
\(308\) 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 0.941797 0.336181i \(-0.109135\pi\)
−0.937552 + 0.347846i \(0.886913\pi\)
\(312\) 61.5385 181.988i 0.197239 0.583294i
\(313\) −5.20268 29.5059i −0.0166220 0.0942679i 0.975368 0.220583i \(-0.0707960\pi\)
−0.991990 + 0.126315i \(0.959685\pi\)
\(314\) 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 −0.379004 + 0.925395i \(0.623733\pi\)
−0.977150 + 0.212553i \(0.931822\pi\)
\(318\) 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 0.885017 0.465559i \(-0.154147\pi\)
−0.612168 + 0.790728i \(0.709702\pi\)
\(332\) 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 −0.857037 0.515254i \(-0.827697\pi\)
−0.325330 + 0.945601i \(0.605475\pi\)
\(338\) −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 −0.860906 0.508764i \(-0.830103\pi\)
0.650530 + 0.759481i \(0.274547\pi\)
\(348\) −208.043 440.535i −0.597826 1.26590i
\(349\) 94.6615 + 34.4540i 0.271236 + 0.0987220i 0.474058 0.880494i \(-0.342789\pi\)
−0.202821 + 0.979216i \(0.565011\pi\)
\(350\) −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 0.307185 0.951650i \(-0.400613\pi\)
−0.376391 + 0.926461i \(0.622835\pi\)
\(354\) −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 −0.427534 0.903999i \(-0.640618\pi\)
0.569119 + 0.822255i \(0.307284\pi\)
\(360\) −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 −0.318453 0.947939i \(-0.603163\pi\)
0.0249660 + 0.999688i \(0.492052\pi\)
\(368\) −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 −0.965237 0.261376i \(-0.915824\pi\)
0.996422 + 0.0845170i \(0.0269347\pi\)
\(374\) −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 \(-0.881111\pi\)
0.931056 0.364876i \(-0.118889\pi\)
\(380\) −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 0.121600 0.992579i \(-0.461198\pi\)
−0.225216 + 0.974309i \(0.572309\pi\)
\(384\) 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 −0.999836 0.0181346i \(-0.994227\pi\)
0.933336 0.359005i \(-0.116884\pi\)
\(390\) −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 0.764521 + 0.644598i \(0.222975\pi\)
0.175978 + 0.984394i \(0.443691\pi\)
\(398\) −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 0.696451 0.717604i \(-0.254761\pi\)
−0.585765 + 0.810481i \(0.699206\pi\)
\(402\) 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 0.875858 0.482569i \(-0.160296\pi\)
−0.323146 + 0.946349i \(0.604741\pi\)
\(410\) −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 −0.979127 0.203250i \(-0.934849\pi\)
0.619408 0.785069i \(1.71263\pi\)
\(420\) 42.7089 + 11.2211i 0.101688 + 0.0267169i
\(421\) 11.8192 + 67.0301i 0.0280742 + 0.159216i 0.995622 0.0934717i \(-0.0297965\pi\)
−0.967548 + 0.252688i \(0.918685\pi\)
\(422\) 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 \(-0.980190\pi\)
0.998064 0.0621935i \(-0.0198096\pi\)
\(432\) −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 0.844264 0.535928i \(-0.180038\pi\)
−0.674391 + 0.738375i \(0.735594\pi\)
\(440\) −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 −0.314797 0.949159i \(-0.601937\pi\)
0.0288188 + 0.999585i \(0.490825\pi\)
\(444\) 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 −0.109815 0.993952i \(-0.535026\pi\)
0.915695 0.401873i \(-0.131641\pi\)
\(450\) −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 0.395993 0.918253i \(-0.370400\pi\)
−0.286893 + 0.957963i \(0.592623\pi\)
\(458\) −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 0.547835 0.836586i \(-0.315452\pi\)
−0.118081 + 0.993004i \(0.537674\pi\)
\(462\) 227.561 + 3.01468i 0.492557 + 0.00652529i
\(463\) 407.123 485.190i 0.879315 1.04793i −0.119169 0.992874i \(-0.538023\pi\)
0.998483 0.0550524i \(-0.0175326\pi\)
\(464\) 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 −0.747424 0.664347i \(-0.768710\pi\)
0.201629 + 0.979462i \(0.435376\pi\)
\(468\) −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 0.266240 0.963907i \(-0.414219\pi\)
−0.995495 + 0.0948146i \(0.969774\pi\)
\(480\) −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 \(0.0553484\pi\)
−0.984921 + 0.173007i \(0.944652\pi\)
\(488\) 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 −0.243489 0.969904i \(-0.578292\pi\)
−0.560532 + 0.828133i \(0.689403\pi\)
\(492\) −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 0.873626 0.486598i \(-0.161762\pi\)
−0.982015 + 0.188800i \(0.939540\pi\)
\(500\) 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 0.591000 0.806672i \(-0.298733\pi\)
−0.403098 + 0.915157i \(0.632067\pi\)
\(504\) 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 0.451707 0.892166i \(-0.350815\pi\)
−0.800174 + 0.599768i \(0.795260\pi\)
\(510\) −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 0.759000 0.651091i \(-0.225688\pi\)
−0.943361 + 0.331768i \(0.892355\pi\)
\(522\) −579.333 445.440i −1.10983 0.853334i
\(523\) 295.086 + 170.368i 0.564217 + 0.325751i 0.754836 0.655913i \(-0.227716\pi\)
−0.190619 + 0.981664i \(0.561050\pi\)
\(524\) −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 0.595447 0.803395i \(-0.296975\pi\)
−0.894588 + 0.446893i \(0.852531\pi\)
\(548\) −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 −0.944685 0.327980i \(-0.893632\pi\)
0.756382 + 0.654131i \(0.226965\pi\)
\(558\) −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 −0.998737 0.0502501i \(-0.983998\pi\)
0.222916 + 0.974838i \(0.428443\pi\)
\(564\) −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 −0.388135 0.921603i \(-0.626880\pi\)
−0.889723 + 0.456501i \(0.849103\pi\)
\(570\) −54.5447 32.4623i −0.0956924 0.0569514i
\(571\) 706.930 842.487i 1.23806 1.47546i 0.412679 0.910876i \(-0.364593\pi\)
0.825377 0.564582i \(-0.190962\pi\)
\(572\) 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 −0.888020 0.459805i \(-0.847919\pi\)
0.842213 + 0.539145i \(0.181253\pi\)
\(578\) −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 0.855965 + 0.517034i \(0.172964\pi\)
0.360543 + 0.932743i \(0.382591\pi\)
\(588\) −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 0.775668 0.631142i \(-0.217413\pi\)
0.513026 + 0.858373i \(0.328524\pi\)
\(600\) 500.498 304.514i 0.834164 0.507523i
\(601\) −733.365 + 615.367i −1.22024 + 1.02390i −0.221430 + 0.975176i \(0.571072\pi\)
−0.998812 + 0.0487281i \(0.984483\pi\)
\(602\) −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 0.782202 + 0.623025i \(0.214096\pi\)
−0.198729 + 0.980055i \(0.563681\pi\)
\(608\) 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 −0.993125 0.117062i \(-0.962652\pi\)
0.395184 0.918602i \(-0.370681\pi\)
\(614\) 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 0.604138 0.796880i \(-0.293518\pi\)
−0.679866 + 0.733337i \(0.737962\pi\)
\(618\) 250.166 140.048i 0.404799 0.226615i
\(619\) −283.250 + 778.223i −0.457593 + 1.25723i 0.469678 + 0.882838i \(0.344370\pi\)
−0.927272 + 0.374389i \(0.877852\pi\)
\(620\) −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 0.267237 0.963631i \(-0.413889\pi\)
−0.700910 + 0.713250i \(0.747223\pi\)
\(632\) −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 −0.224911 0.974379i \(-0.572209\pi\)
0.920521 + 0.390693i \(0.127765\pi\)
\(642\) 232.568 + 284.741i 0.362256 + 0.443522i
\(643\) −884.213 155.911i −1.37514 0.242474i −0.563249 0.826287i \(-0.690449\pi\)
−0.811888 + 0.583814i \(0.801560\pi\)
\(644\) 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 \(0.219227\pi\)
−0.772058 + 0.635552i \(0.780773\pi\)
\(648\) −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 0.314296 + 0.949325i \(0.398232\pi\)
−0.620030 + 0.784578i \(0.712880\pi\)
\(654\) −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 −0.436249 0.899826i \(-0.643693\pi\)
−0.102181 + 0.994766i \(0.532582\pi\)
\(660\) −51.2921 + 51.7943i −0.0777153 + 0.0784762i
\(661\) 766.959 279.150i 1.16030 0.422315i 0.311097 0.950378i \(-0.399304\pi\)
0.849205 + 0.528063i \(0.177082\pi\)
\(662\) −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 0.174932 0.984580i \(-0.444029\pi\)
−0.498870 + 0.866677i \(0.666252\pi\)
\(674\) −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 0.255193 0.966890i \(-0.417861\pi\)
−0.426016 + 0.904716i \(0.640083\pi\)
\(678\) 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 −0.269445 0.963016i \(-0.586840\pi\)
0.699274 + 0.714854i \(0.253507\pi\)
\(684\) −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 0.404099 0.914715i \(-0.367585\pi\)
0.692580 + 0.721342i \(0.256474\pi\)
\(692\) −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 −0.509682 0.860363i \(-0.670237\pi\)
0.758787 + 0.651339i \(0.225793\pi\)
\(710\) 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 0.605192 0.796080i \(-0.293096\pi\)
−0.386829 + 0.922151i \(0.626430\pi\)
\(720\) −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 −0.817788 0.575520i \(-0.804800\pi\)
0.996399 + 0.0847899i \(0.0270219\pi\)
\(728\) 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 0.769977 0.638071i \(-0.220268\pi\)
−0.494672 + 0.869079i \(0.664712\pi\)
\(734\) −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 0.109209 0.994019i \(-0.465168\pi\)
−0.806241 + 0.591587i \(0.798501\pi\)
\(740\) 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 0.899652 + 0.436607i \(0.143820\pi\)
−0.408528 + 0.912746i \(0.633958\pi\)
\(744\) −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 −0.479506 0.877539i \(-0.659184\pi\)
−0.750724 + 0.660616i \(0.770295\pi\)
\(752\) −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
\(756\) 455.757 + 245.555i 0.602854 + 0.324808i