Properties

Label 273.2.r.b.68.8
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.8
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.25

$q$-expansion

\(f(q)\) \(=\) \(q-1.85049i q^{2} +(-1.73048 + 0.0736936i) q^{3} -1.42433 q^{4} +(1.21731 - 2.10844i) q^{5} +(0.136370 + 3.20225i) q^{6} +(2.52177 - 0.800422i) q^{7} -1.06527i q^{8} +(2.98914 - 0.255051i) q^{9} +O(q^{10})\) \(q-1.85049i q^{2} +(-1.73048 + 0.0736936i) q^{3} -1.42433 q^{4} +(1.21731 - 2.10844i) q^{5} +(0.136370 + 3.20225i) q^{6} +(2.52177 - 0.800422i) q^{7} -1.06527i q^{8} +(2.98914 - 0.255051i) q^{9} +(-3.90166 - 2.25263i) q^{10} +(-2.52051 - 1.45522i) q^{11} +(2.46478 - 0.104964i) q^{12} +(-2.41102 + 2.68085i) q^{13} +(-1.48118 - 4.66652i) q^{14} +(-1.95116 + 3.73833i) q^{15} -4.81994 q^{16} +0.935851 q^{17} +(-0.471970 - 5.53139i) q^{18} +(-1.91428 + 1.10521i) q^{19} +(-1.73385 + 3.00312i) q^{20} +(-4.30489 + 1.57095i) q^{21} +(-2.69288 + 4.66420i) q^{22} -6.24184i q^{23} +(0.0785037 + 1.84343i) q^{24} +(-0.463688 - 0.803132i) q^{25} +(4.96090 + 4.46158i) q^{26} +(-5.15386 + 0.661641i) q^{27} +(-3.59184 + 1.14007i) q^{28} +(-1.34529 + 0.776702i) q^{29} +(6.91776 + 3.61060i) q^{30} +(2.50768 - 1.44781i) q^{31} +6.78874i q^{32} +(4.46894 + 2.33249i) q^{33} -1.73179i q^{34} +(1.38213 - 6.29137i) q^{35} +(-4.25752 + 0.363277i) q^{36} +8.15852 q^{37} +(2.04518 + 3.54236i) q^{38} +(3.97467 - 4.81685i) q^{39} +(-2.24607 - 1.29677i) q^{40} +(4.41024 + 7.63876i) q^{41} +(2.90704 + 7.96618i) q^{42} +(5.40029 - 9.35358i) q^{43} +(3.59005 + 2.07271i) q^{44} +(3.10095 - 6.61290i) q^{45} -11.5505 q^{46} +(-3.63232 + 6.29136i) q^{47} +(8.34083 - 0.355199i) q^{48} +(5.71865 - 4.03696i) q^{49} +(-1.48619 + 0.858053i) q^{50} +(-1.61947 + 0.0689662i) q^{51} +(3.43409 - 3.81842i) q^{52} +(4.86267 - 2.80747i) q^{53} +(1.22436 + 9.53718i) q^{54} +(-6.13649 + 3.54291i) q^{55} +(-0.852667 - 2.68637i) q^{56} +(3.23118 - 2.05362i) q^{57} +(1.43728 + 2.48945i) q^{58} -6.56276 q^{59} +(2.77909 - 5.32462i) q^{60} +(-4.58813 + 2.64896i) q^{61} +(-2.67916 - 4.64044i) q^{62} +(7.33377 - 3.03575i) q^{63} +2.92263 q^{64} +(2.71746 + 8.34693i) q^{65} +(4.31625 - 8.26976i) q^{66} +(-5.63554 + 9.76104i) q^{67} -1.33296 q^{68} +(0.459983 + 10.8014i) q^{69} +(-11.6421 - 2.55763i) q^{70} +(3.16646 + 1.82815i) q^{71} +(-0.271698 - 3.18425i) q^{72} +(10.0645 - 5.81075i) q^{73} -15.0973i q^{74} +(0.861590 + 1.35563i) q^{75} +(2.72657 - 1.57418i) q^{76} +(-7.52095 - 1.65225i) q^{77} +(-8.91355 - 7.35511i) q^{78} +(3.06379 - 5.30664i) q^{79} +(-5.86737 + 10.1626i) q^{80} +(8.86990 - 1.52476i) q^{81} +(14.1355 - 8.16112i) q^{82} +13.9468 q^{83} +(6.13159 - 2.23756i) q^{84} +(1.13922 - 1.97319i) q^{85} +(-17.3087 - 9.99321i) q^{86} +(2.27076 - 1.44321i) q^{87} +(-1.55020 + 2.68503i) q^{88} -5.33612 q^{89} +(-12.2371 - 5.73829i) q^{90} +(-3.93423 + 8.69033i) q^{91} +8.89044i q^{92} +(-4.23280 + 2.69021i) q^{93} +(11.6421 + 6.72159i) q^{94} +5.38153i q^{95} +(-0.500286 - 11.7478i) q^{96} +(10.8818 + 6.28262i) q^{97} +(-7.47038 - 10.5823i) q^{98} +(-7.90532 - 3.70699i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.85049i 1.30850i −0.756279 0.654249i \(-0.772985\pi\)
0.756279 0.654249i \(-0.227015\pi\)
\(3\) −1.73048 + 0.0736936i −0.999094 + 0.0425470i
\(4\) −1.42433 −0.712166
\(5\) 1.21731 2.10844i 0.544398 0.942924i −0.454247 0.890876i \(-0.650092\pi\)
0.998645 0.0520486i \(-0.0165751\pi\)
\(6\) 0.136370 + 3.20225i 0.0556726 + 1.30731i
\(7\) 2.52177 0.800422i 0.953140 0.302531i
\(8\) 1.06527i 0.376631i
\(9\) 2.98914 0.255051i 0.996380 0.0850169i
\(10\) −3.90166 2.25263i −1.23381 0.712343i
\(11\) −2.52051 1.45522i −0.759963 0.438765i 0.0693192 0.997595i \(-0.477917\pi\)
−0.829283 + 0.558829i \(0.811251\pi\)
\(12\) 2.46478 0.104964i 0.711521 0.0303005i
\(13\) −2.41102 + 2.68085i −0.668697 + 0.743535i
\(14\) −1.48118 4.66652i −0.395861 1.24718i
\(15\) −1.95116 + 3.73833i −0.503786 + 0.965233i
\(16\) −4.81994 −1.20499
\(17\) 0.935851 0.226977 0.113489 0.993539i \(-0.463797\pi\)
0.113489 + 0.993539i \(0.463797\pi\)
\(18\) −0.471970 5.53139i −0.111244 1.30376i
\(19\) −1.91428 + 1.10521i −0.439166 + 0.253552i −0.703244 0.710949i \(-0.748266\pi\)
0.264078 + 0.964501i \(0.414932\pi\)
\(20\) −1.73385 + 3.00312i −0.387701 + 0.671518i
\(21\) −4.30489 + 1.57095i −0.939405 + 0.342810i
\(22\) −2.69288 + 4.66420i −0.574123 + 0.994410i
\(23\) 6.24184i 1.30151i −0.759287 0.650756i \(-0.774452\pi\)
0.759287 0.650756i \(-0.225548\pi\)
\(24\) 0.0785037 + 1.84343i 0.0160245 + 0.376289i
\(25\) −0.463688 0.803132i −0.0927377 0.160626i
\(26\) 4.96090 + 4.46158i 0.972913 + 0.874989i
\(27\) −5.15386 + 0.661641i −0.991860 + 0.127333i
\(28\) −3.59184 + 1.14007i −0.678793 + 0.215452i
\(29\) −1.34529 + 0.776702i −0.249814 + 0.144230i −0.619679 0.784855i \(-0.712737\pi\)
0.369865 + 0.929085i \(0.379404\pi\)
\(30\) 6.91776 + 3.61060i 1.26301 + 0.659203i
\(31\) 2.50768 1.44781i 0.450392 0.260034i −0.257604 0.966251i \(-0.582933\pi\)
0.707996 + 0.706217i \(0.249600\pi\)
\(32\) 6.78874i 1.20009i
\(33\) 4.46894 + 2.33249i 0.777943 + 0.406034i
\(34\) 1.73179i 0.296999i
\(35\) 1.38213 6.29137i 0.233623 1.06344i
\(36\) −4.25752 + 0.363277i −0.709587 + 0.0605461i
\(37\) 8.15852 1.34125 0.670626 0.741796i \(-0.266026\pi\)
0.670626 + 0.741796i \(0.266026\pi\)
\(38\) 2.04518 + 3.54236i 0.331773 + 0.574647i
\(39\) 3.97467 4.81685i 0.636457 0.771313i
\(40\) −2.24607 1.29677i −0.355134 0.205037i
\(41\) 4.41024 + 7.63876i 0.688764 + 1.19297i 0.972238 + 0.233994i \(0.0751795\pi\)
−0.283475 + 0.958980i \(0.591487\pi\)
\(42\) 2.90704 + 7.96618i 0.448566 + 1.22921i
\(43\) 5.40029 9.35358i 0.823537 1.42641i −0.0794962 0.996835i \(-0.525331\pi\)
0.903033 0.429572i \(-0.141336\pi\)
\(44\) 3.59005 + 2.07271i 0.541220 + 0.312473i
\(45\) 3.10095 6.61290i 0.462262 0.985794i
\(46\) −11.5505 −1.70303
\(47\) −3.63232 + 6.29136i −0.529828 + 0.917689i 0.469567 + 0.882897i \(0.344410\pi\)
−0.999395 + 0.0347919i \(0.988923\pi\)
\(48\) 8.34083 0.355199i 1.20389 0.0512685i
\(49\) 5.71865 4.03696i 0.816950 0.576709i
\(50\) −1.48619 + 0.858053i −0.210179 + 0.121347i
\(51\) −1.61947 + 0.0689662i −0.226772 + 0.00965720i
\(52\) 3.43409 3.81842i 0.476223 0.529520i
\(53\) 4.86267 2.80747i 0.667939 0.385635i −0.127356 0.991857i \(-0.540649\pi\)
0.795295 + 0.606222i \(0.207316\pi\)
\(54\) 1.22436 + 9.53718i 0.166615 + 1.29785i
\(55\) −6.13649 + 3.54291i −0.827445 + 0.477725i
\(56\) −0.852667 2.68637i −0.113942 0.358981i
\(57\) 3.23118 2.05362i 0.427980 0.272008i
\(58\) 1.43728 + 2.48945i 0.188724 + 0.326880i
\(59\) −6.56276 −0.854399 −0.427199 0.904157i \(-0.640500\pi\)
−0.427199 + 0.904157i \(0.640500\pi\)
\(60\) 2.77909 5.32462i 0.358779 0.687406i
\(61\) −4.58813 + 2.64896i −0.587449 + 0.339164i −0.764088 0.645112i \(-0.776811\pi\)
0.176639 + 0.984276i \(0.443478\pi\)
\(62\) −2.67916 4.64044i −0.340254 0.589337i
\(63\) 7.33377 3.03575i 0.923968 0.382469i
\(64\) 2.92263 0.365329
\(65\) 2.71746 + 8.34693i 0.337060 + 1.03531i
\(66\) 4.31625 8.26976i 0.531294 1.01794i
\(67\) −5.63554 + 9.76104i −0.688491 + 1.19250i 0.283835 + 0.958873i \(0.408393\pi\)
−0.972326 + 0.233628i \(0.924940\pi\)
\(68\) −1.33296 −0.161645
\(69\) 0.459983 + 10.8014i 0.0553755 + 1.30033i
\(70\) −11.6421 2.55763i −1.39150 0.305695i
\(71\) 3.16646 + 1.82815i 0.375789 + 0.216962i 0.675985 0.736916i \(-0.263719\pi\)
−0.300195 + 0.953878i \(0.597052\pi\)
\(72\) −0.271698 3.18425i −0.0320200 0.375267i
\(73\) 10.0645 5.81075i 1.17796 0.680097i 0.222420 0.974951i \(-0.428604\pi\)
0.955542 + 0.294854i \(0.0952711\pi\)
\(74\) 15.0973i 1.75503i
\(75\) 0.861590 + 1.35563i 0.0994878 + 0.156535i
\(76\) 2.72657 1.57418i 0.312759 0.180571i
\(77\) −7.52095 1.65225i −0.857091 0.188292i
\(78\) −8.91355 7.35511i −1.00926 0.832802i
\(79\) 3.06379 5.30664i 0.344704 0.597044i −0.640596 0.767878i \(-0.721313\pi\)
0.985300 + 0.170834i \(0.0546461\pi\)
\(80\) −5.86737 + 10.1626i −0.655991 + 1.13621i
\(81\) 8.86990 1.52476i 0.985544 0.169418i
\(82\) 14.1355 8.16112i 1.56100 0.901245i
\(83\) 13.9468 1.53086 0.765428 0.643522i \(-0.222527\pi\)
0.765428 + 0.643522i \(0.222527\pi\)
\(84\) 6.13159 2.23756i 0.669012 0.244138i
\(85\) 1.13922 1.97319i 0.123566 0.214022i
\(86\) −17.3087 9.99321i −1.86645 1.07760i
\(87\) 2.27076 1.44321i 0.243451 0.154728i
\(88\) −1.55020 + 2.68503i −0.165252 + 0.286225i
\(89\) −5.33612 −0.565628 −0.282814 0.959175i \(-0.591268\pi\)
−0.282814 + 0.959175i \(0.591268\pi\)
\(90\) −12.2371 5.73829i −1.28991 0.604869i
\(91\) −3.93423 + 8.69033i −0.412419 + 0.910994i
\(92\) 8.89044i 0.926893i
\(93\) −4.23280 + 2.69021i −0.438921 + 0.278961i
\(94\) 11.6421 + 6.72159i 1.20079 + 0.693279i
\(95\) 5.38153i 0.552133i
\(96\) −0.500286 11.7478i −0.0510602 1.19900i
\(97\) 10.8818 + 6.28262i 1.10488 + 0.637903i 0.937499 0.347989i \(-0.113135\pi\)
0.167382 + 0.985892i \(0.446469\pi\)
\(98\) −7.47038 10.5823i −0.754622 1.06898i
\(99\) −7.90532 3.70699i −0.794514 0.372567i
\(100\) 0.660446 + 1.14393i 0.0660446 + 0.114393i
\(101\) 2.51607 4.35795i 0.250358 0.433633i −0.713266 0.700893i \(-0.752785\pi\)
0.963624 + 0.267260i \(0.0861184\pi\)
\(102\) 0.127622 + 2.99683i 0.0126364 + 0.296730i
\(103\) 1.51540 + 0.874919i 0.149317 + 0.0862083i 0.572797 0.819697i \(-0.305858\pi\)
−0.423480 + 0.905905i \(0.639192\pi\)
\(104\) 2.85584 + 2.56839i 0.280038 + 0.251852i
\(105\) −1.92812 + 10.9890i −0.188165 + 1.07241i
\(106\) −5.19520 8.99835i −0.504602 0.873997i
\(107\) 2.96439i 0.286578i −0.989681 0.143289i \(-0.954232\pi\)
0.989681 0.143289i \(-0.0457678\pi\)
\(108\) 7.34080 0.942396i 0.706369 0.0906821i
\(109\) −0.398868 0.690860i −0.0382047 0.0661724i 0.846291 0.532721i \(-0.178831\pi\)
−0.884495 + 0.466549i \(0.845497\pi\)
\(110\) 6.55613 + 11.3556i 0.625102 + 1.08271i
\(111\) −14.1182 + 0.601230i −1.34004 + 0.0570663i
\(112\) −12.1548 + 3.85799i −1.14852 + 0.364546i
\(113\) 2.85998 + 1.65121i 0.269044 + 0.155333i 0.628453 0.777847i \(-0.283688\pi\)
−0.359409 + 0.933180i \(0.617022\pi\)
\(114\) −3.80020 5.97928i −0.355922 0.560011i
\(115\) −13.1606 7.59825i −1.22723 0.708541i
\(116\) 1.91613 1.10628i 0.177909 0.102716i
\(117\) −6.52313 + 8.62837i −0.603063 + 0.797693i
\(118\) 12.1444i 1.11798i
\(119\) 2.36000 0.749076i 0.216341 0.0686677i
\(120\) 3.98234 + 2.07851i 0.363536 + 0.189741i
\(121\) −1.26467 2.19048i −0.114970 0.199135i
\(122\) 4.90188 + 8.49030i 0.443795 + 0.768676i
\(123\) −8.19477 12.8937i −0.738897 1.16259i
\(124\) −3.57176 + 2.06216i −0.320754 + 0.185187i
\(125\) 9.91529 0.886851
\(126\) −5.61764 13.5711i −0.500459 1.20901i
\(127\) 9.33854 + 16.1748i 0.828661 + 1.43528i 0.899089 + 0.437766i \(0.144230\pi\)
−0.0704275 + 0.997517i \(0.522436\pi\)
\(128\) 8.16915i 0.722058i
\(129\) −8.65581 + 16.5842i −0.762101 + 1.46015i
\(130\) 15.4460 5.02865i 1.35470 0.441042i
\(131\) −6.01716 + 10.4220i −0.525722 + 0.910577i 0.473829 + 0.880617i \(0.342871\pi\)
−0.999551 + 0.0299599i \(0.990462\pi\)
\(132\) −6.36526 3.32223i −0.554025 0.289163i
\(133\) −3.94274 + 4.31931i −0.341879 + 0.374532i
\(134\) 18.0628 + 10.4285i 1.56038 + 0.900888i
\(135\) −4.87881 + 11.6720i −0.419901 + 1.00457i
\(136\) 0.996936i 0.0854865i
\(137\) 10.4050i 0.888957i 0.895790 + 0.444478i \(0.146611\pi\)
−0.895790 + 0.444478i \(0.853389\pi\)
\(138\) 19.9879 0.851196i 1.70148 0.0724586i
\(139\) −7.27394 4.19961i −0.616967 0.356206i 0.158720 0.987324i \(-0.449263\pi\)
−0.775687 + 0.631117i \(0.782597\pi\)
\(140\) −1.96861 + 8.96100i −0.166378 + 0.757342i
\(141\) 5.82203 11.1548i 0.490303 0.939401i
\(142\) 3.38299 5.85951i 0.283894 0.491719i
\(143\) 9.97824 3.24856i 0.834423 0.271658i
\(144\) −14.4075 + 1.22933i −1.20062 + 0.102444i
\(145\) 3.78195i 0.314074i
\(146\) −10.7528 18.6243i −0.889905 1.54136i
\(147\) −9.59852 + 7.40732i −0.791673 + 0.610945i
\(148\) −11.6204 −0.955194
\(149\) −15.9210 + 9.19201i −1.30430 + 0.753039i −0.981139 0.193304i \(-0.938080\pi\)
−0.323163 + 0.946343i \(0.604746\pi\)
\(150\) 2.50859 1.59437i 0.204826 0.130180i
\(151\) −11.4964 19.9124i −0.935564 1.62044i −0.773625 0.633643i \(-0.781559\pi\)
−0.161938 0.986801i \(-0.551775\pi\)
\(152\) 1.17735 + 2.03923i 0.0954956 + 0.165403i
\(153\) 2.79739 0.238690i 0.226155 0.0192969i
\(154\) −3.05749 + 13.9175i −0.246379 + 1.12150i
\(155\) 7.04973i 0.566248i
\(156\) −5.66125 + 6.86078i −0.453262 + 0.549302i
\(157\) 1.89695 1.09521i 0.151393 0.0874069i −0.422390 0.906414i \(-0.638809\pi\)
0.573783 + 0.819007i \(0.305475\pi\)
\(158\) −9.81992 5.66953i −0.781231 0.451044i
\(159\) −8.20788 + 5.21662i −0.650927 + 0.413705i
\(160\) 14.3137 + 8.26400i 1.13159 + 0.653326i
\(161\) −4.99610 15.7405i −0.393748 1.24052i
\(162\) −2.82157 16.4137i −0.221683 1.28958i
\(163\) 9.05348 + 15.6811i 0.709123 + 1.22824i 0.965183 + 0.261576i \(0.0842423\pi\)
−0.256060 + 0.966661i \(0.582424\pi\)
\(164\) −6.28164 10.8801i −0.490514 0.849595i
\(165\) 10.3580 6.58316i 0.806370 0.512498i
\(166\) 25.8084i 2.00312i
\(167\) −10.4421 18.0863i −0.808034 1.39956i −0.914223 0.405211i \(-0.867198\pi\)
0.106189 0.994346i \(-0.466135\pi\)
\(168\) 1.67349 + 4.58588i 0.129113 + 0.353808i
\(169\) −1.37395 12.9272i −0.105688 0.994399i
\(170\) −3.65137 2.10812i −0.280048 0.161686i
\(171\) −5.44016 + 3.79186i −0.416019 + 0.289971i
\(172\) −7.69180 + 13.3226i −0.586494 + 1.01584i
\(173\) −10.0554 17.4164i −0.764497 1.32415i −0.940512 0.339760i \(-0.889654\pi\)
0.176015 0.984387i \(-0.443679\pi\)
\(174\) −2.67065 4.20202i −0.202461 0.318555i
\(175\) −1.81216 1.65417i −0.136986 0.125043i
\(176\) 12.1487 + 7.01407i 0.915745 + 0.528706i
\(177\) 11.3567 0.483633i 0.853625 0.0363521i
\(178\) 9.87447i 0.740123i
\(179\) 12.8568 + 7.42288i 0.960963 + 0.554812i 0.896469 0.443106i \(-0.146123\pi\)
0.0644939 + 0.997918i \(0.479457\pi\)
\(180\) −4.41678 + 9.41897i −0.329207 + 0.702048i
\(181\) 5.65885i 0.420619i 0.977635 + 0.210309i \(0.0674472\pi\)
−0.977635 + 0.210309i \(0.932553\pi\)
\(182\) 16.0814 + 7.28027i 1.19203 + 0.539650i
\(183\) 7.74446 4.92209i 0.572487 0.363851i
\(184\) −6.64925 −0.490189
\(185\) 9.93145 17.2018i 0.730175 1.26470i
\(186\) 4.97821 + 7.83277i 0.365020 + 0.574327i
\(187\) −2.35882 1.36187i −0.172494 0.0995897i
\(188\) 5.17362 8.96098i 0.377325 0.653547i
\(189\) −12.4672 + 5.79377i −0.906859 + 0.421435i
\(190\) 9.95849 0.722465
\(191\) −14.8914 + 8.59753i −1.07750 + 0.622096i −0.930221 0.366999i \(-0.880385\pi\)
−0.147280 + 0.989095i \(0.547052\pi\)
\(192\) −5.05757 + 0.215379i −0.364998 + 0.0155437i
\(193\) 3.66635 6.35030i 0.263909 0.457104i −0.703368 0.710826i \(-0.748321\pi\)
0.967277 + 0.253722i \(0.0816547\pi\)
\(194\) 11.6260 20.1367i 0.834695 1.44573i
\(195\) −5.31764 14.2440i −0.380804 1.02003i
\(196\) −8.14525 + 5.74997i −0.581804 + 0.410712i
\(197\) −2.00044 + 1.15495i −0.142525 + 0.0822869i −0.569567 0.821945i \(-0.692889\pi\)
0.427042 + 0.904232i \(0.359556\pi\)
\(198\) −6.85977 + 14.6288i −0.487503 + 1.03962i
\(199\) 0.653471i 0.0463233i 0.999732 + 0.0231617i \(0.00737325\pi\)
−0.999732 + 0.0231617i \(0.992627\pi\)
\(200\) −0.855554 + 0.493954i −0.0604968 + 0.0349278i
\(201\) 9.03288 17.3066i 0.637130 1.22071i
\(202\) −8.06437 4.65597i −0.567407 0.327593i
\(203\) −2.77082 + 3.03546i −0.194473 + 0.213048i
\(204\) 2.30667 0.0982307i 0.161499 0.00687752i
\(205\) 21.4745 1.49985
\(206\) 1.61903 2.80425i 0.112803 0.195381i
\(207\) −1.59199 18.6577i −0.110651 1.29680i
\(208\) 11.6210 12.9216i 0.805771 0.895949i
\(209\) 6.43329 0.445000
\(210\) 20.3350 + 3.56798i 1.40325 + 0.246214i
\(211\) 12.5200 + 21.6853i 0.861914 + 1.49288i 0.870079 + 0.492912i \(0.164067\pi\)
−0.00816553 + 0.999967i \(0.502599\pi\)
\(212\) −6.92606 + 3.99876i −0.475684 + 0.274636i
\(213\) −5.61422 2.93024i −0.384680 0.200777i
\(214\) −5.48558 −0.374987
\(215\) −13.1477 22.7724i −0.896663 1.55307i
\(216\) 0.704828 + 5.49026i 0.0479575 + 0.373565i
\(217\) 5.16493 5.65824i 0.350618 0.384106i
\(218\) −1.27843 + 0.738104i −0.0865865 + 0.0499907i
\(219\) −16.9882 + 10.7971i −1.14796 + 0.729600i
\(220\) 8.74040 5.04627i 0.589278 0.340220i
\(221\) −2.25636 + 2.50888i −0.151779 + 0.168765i
\(222\) 1.11257 + 26.1256i 0.0746710 + 1.75344i
\(223\) 3.05038 1.76114i 0.204269 0.117934i −0.394376 0.918949i \(-0.629039\pi\)
0.598645 + 0.801014i \(0.295706\pi\)
\(224\) 5.43385 + 17.1196i 0.363065 + 1.14385i
\(225\) −1.59087 2.28241i −0.106058 0.152161i
\(226\) 3.05555 5.29238i 0.203252 0.352044i
\(227\) −9.05211 −0.600810 −0.300405 0.953812i \(-0.597122\pi\)
−0.300405 + 0.953812i \(0.597122\pi\)
\(228\) −4.60227 + 2.92503i −0.304793 + 0.193715i
\(229\) −7.18498 4.14825i −0.474797 0.274124i 0.243449 0.969914i \(-0.421721\pi\)
−0.718246 + 0.695790i \(0.755055\pi\)
\(230\) −14.0605 + 24.3535i −0.927124 + 1.60583i
\(231\) 13.1366 + 2.30495i 0.864326 + 0.151655i
\(232\) 0.827399 + 1.43310i 0.0543214 + 0.0940874i
\(233\) 12.6172 + 7.28454i 0.826579 + 0.477226i 0.852680 0.522434i \(-0.174976\pi\)
−0.0261007 + 0.999659i \(0.508309\pi\)
\(234\) 15.9668 + 12.0710i 1.04378 + 0.789107i
\(235\) 8.84331 + 15.3171i 0.576874 + 0.999176i
\(236\) 9.34755 0.608473
\(237\) −4.91077 + 9.40884i −0.318989 + 0.611170i
\(238\) −1.38616 4.36717i −0.0898514 0.283082i
\(239\) 5.83004i 0.377114i −0.982062 0.188557i \(-0.939619\pi\)
0.982062 0.188557i \(-0.0603811\pi\)
\(240\) 9.40446 18.0185i 0.607055 1.16309i
\(241\) 20.3489i 1.31079i 0.755288 + 0.655393i \(0.227497\pi\)
−0.755288 + 0.655393i \(0.772503\pi\)
\(242\) −4.05347 + 2.34027i −0.260567 + 0.150438i
\(243\) −15.2368 + 3.29223i −0.977444 + 0.211197i
\(244\) 6.53501 3.77299i 0.418361 0.241541i
\(245\) −1.55033 16.9717i −0.0990471 1.08428i
\(246\) −23.8598 + 15.1644i −1.52124 + 0.966845i
\(247\) 1.65246 7.79658i 0.105144 0.496085i
\(248\) −1.54231 2.67136i −0.0979368 0.169631i
\(249\) −24.1346 + 1.02779i −1.52947 + 0.0651333i
\(250\) 18.3482i 1.16044i
\(251\) 4.57677 7.92719i 0.288883 0.500360i −0.684660 0.728862i \(-0.740049\pi\)
0.973543 + 0.228502i \(0.0733828\pi\)
\(252\) −10.4457 + 4.32392i −0.658019 + 0.272381i
\(253\) −9.08324 + 15.7326i −0.571058 + 0.989102i
\(254\) 29.9314 17.2809i 1.87806 1.08430i
\(255\) −1.82599 + 3.49852i −0.114348 + 0.219086i
\(256\) 20.9622 1.31014
\(257\) −3.56589 −0.222434 −0.111217 0.993796i \(-0.535475\pi\)
−0.111217 + 0.993796i \(0.535475\pi\)
\(258\) 30.6889 + 16.0175i 1.91061 + 0.997208i
\(259\) 20.5739 6.53026i 1.27840 0.405771i
\(260\) −3.87057 11.8888i −0.240043 0.737312i
\(261\) −3.82315 + 2.66479i −0.236647 + 0.164946i
\(262\) 19.2859 + 11.1347i 1.19149 + 0.687905i
\(263\) −14.4364 8.33486i −0.890187 0.513950i −0.0161832 0.999869i \(-0.505151\pi\)
−0.874004 + 0.485919i \(0.838485\pi\)
\(264\) 2.48473 4.76064i 0.152925 0.292997i
\(265\) 13.6702i 0.839755i
\(266\) 7.99287 + 7.29601i 0.490074 + 0.447347i
\(267\) 9.23407 0.393238i 0.565116 0.0240658i
\(268\) 8.02688 13.9030i 0.490319 0.849258i
\(269\) 10.5551 0.643555 0.321777 0.946815i \(-0.395720\pi\)
0.321777 + 0.946815i \(0.395720\pi\)
\(270\) 21.5990 + 9.02821i 1.31448 + 0.549439i
\(271\) 0.229531i 0.0139430i −0.999976 0.00697152i \(-0.997781\pi\)
0.999976 0.00697152i \(-0.00221912\pi\)
\(272\) −4.51075 −0.273504
\(273\) 6.16769 15.3284i 0.373286 0.927716i
\(274\) 19.2543 1.16320
\(275\) 2.69907i 0.162760i
\(276\) −0.655168 15.3848i −0.0394365 0.926053i
\(277\) 4.09751 0.246196 0.123098 0.992395i \(-0.460717\pi\)
0.123098 + 0.992395i \(0.460717\pi\)
\(278\) −7.77136 + 13.4604i −0.466095 + 0.807300i
\(279\) 7.12653 4.96728i 0.426654 0.297384i
\(280\) −6.70202 1.47235i −0.400522 0.0879896i
\(281\) 25.6488i 1.53008i 0.643983 + 0.765040i \(0.277281\pi\)
−0.643983 + 0.765040i \(0.722719\pi\)
\(282\) −20.6418 10.7736i −1.22920 0.641561i
\(283\) −23.9820 13.8460i −1.42558 0.823059i −0.428812 0.903394i \(-0.641068\pi\)
−0.996768 + 0.0803348i \(0.974401\pi\)
\(284\) −4.51008 2.60390i −0.267624 0.154513i
\(285\) −0.396584 9.31264i −0.0234916 0.551633i
\(286\) −6.01144 18.4647i −0.355464 1.09184i
\(287\) 17.2358 + 15.7331i 1.01740 + 0.928698i
\(288\) 1.73147 + 20.2925i 0.102028 + 1.19575i
\(289\) −16.1242 −0.948481
\(290\) 6.99848 0.410965
\(291\) −19.2938 10.0700i −1.13102 0.590316i
\(292\) −14.3352 + 8.27643i −0.838904 + 0.484342i
\(293\) 1.21080 2.09716i 0.0707356 0.122518i −0.828488 0.560006i \(-0.810799\pi\)
0.899224 + 0.437489i \(0.144132\pi\)
\(294\) 13.7072 + 17.7620i 0.799420 + 1.03590i
\(295\) −7.98892 + 13.8372i −0.465133 + 0.805633i
\(296\) 8.69104i 0.505157i
\(297\) 13.9532 + 5.83231i 0.809647 + 0.338425i
\(298\) 17.0098 + 29.4618i 0.985350 + 1.70668i
\(299\) 16.7334 + 15.0492i 0.967720 + 0.870318i
\(300\) −1.22719 1.93087i −0.0708518 0.111479i
\(301\) 6.13148 27.9101i 0.353413 1.60871i
\(302\) −36.8477 + 21.2740i −2.12035 + 1.22418i
\(303\) −4.03285 + 7.72678i −0.231681 + 0.443892i
\(304\) 9.22671 5.32705i 0.529188 0.305527i
\(305\) 12.8984i 0.738561i
\(306\) −0.441694 5.17655i −0.0252499 0.295924i
\(307\) 31.7221i 1.81048i 0.424905 + 0.905238i \(0.360308\pi\)
−0.424905 + 0.905238i \(0.639692\pi\)
\(308\) 10.7123 + 2.35336i 0.610391 + 0.134095i
\(309\) −2.68686 1.40236i −0.152850 0.0797773i
\(310\) −13.0455 −0.740934
\(311\) 6.41496 + 11.1110i 0.363759 + 0.630049i 0.988576 0.150722i \(-0.0481598\pi\)
−0.624817 + 0.780771i \(0.714826\pi\)
\(312\) −5.13125 4.23410i −0.290500 0.239709i
\(313\) −16.3343 9.43059i −0.923267 0.533048i −0.0385911 0.999255i \(-0.512287\pi\)
−0.884676 + 0.466207i \(0.845620\pi\)
\(314\) −2.02667 3.51030i −0.114372 0.198098i
\(315\) 2.52677 19.1583i 0.142367 1.07945i
\(316\) −4.36386 + 7.55842i −0.245486 + 0.425194i
\(317\) −11.6351 6.71751i −0.653491 0.377293i 0.136302 0.990667i \(-0.456478\pi\)
−0.789792 + 0.613374i \(0.789812\pi\)
\(318\) 9.65332 + 15.1886i 0.541331 + 0.851736i
\(319\) 4.52109 0.253132
\(320\) 3.55775 6.16221i 0.198884 0.344478i
\(321\) 0.218456 + 5.12982i 0.0121930 + 0.286319i
\(322\) −29.1277 + 9.24526i −1.62322 + 0.515218i
\(323\) −1.79148 + 1.03431i −0.0996806 + 0.0575506i
\(324\) −12.6337 + 2.17177i −0.701871 + 0.120654i
\(325\) 3.27104 + 0.693288i 0.181445 + 0.0384567i
\(326\) 29.0178 16.7534i 1.60715 0.927886i
\(327\) 0.741147 + 1.16613i 0.0409855 + 0.0644870i
\(328\) 8.13735 4.69810i 0.449310 0.259409i
\(329\) −4.12413 + 18.7727i −0.227371 + 1.03498i
\(330\) −12.1821 19.1674i −0.670602 1.05513i
\(331\) 4.23300 + 7.33178i 0.232667 + 0.402991i 0.958592 0.284783i \(-0.0919215\pi\)
−0.725925 + 0.687774i \(0.758588\pi\)
\(332\) −19.8648 −1.09022
\(333\) 24.3869 2.08084i 1.33640 0.114029i
\(334\) −33.4685 + 19.3231i −1.83132 + 1.05731i
\(335\) 13.7204 + 23.7644i 0.749626 + 1.29839i
\(336\) 20.7493 7.57191i 1.13197 0.413082i
\(337\) −12.9394 −0.704852 −0.352426 0.935840i \(-0.614643\pi\)
−0.352426 + 0.935840i \(0.614643\pi\)
\(338\) −23.9217 + 2.54248i −1.30117 + 0.138293i
\(339\) −5.07083 2.64663i −0.275409 0.143745i
\(340\) −1.62263 + 2.81047i −0.0879993 + 0.152419i
\(341\) −8.42751 −0.456375
\(342\) 7.01682 + 10.0670i 0.379426 + 0.544360i
\(343\) 11.1898 14.7576i 0.604195 0.796837i
\(344\) −9.96410 5.75278i −0.537228 0.310169i
\(345\) 23.3341 + 12.1788i 1.25626 + 0.655684i
\(346\) −32.2290 + 18.6074i −1.73264 + 1.00034i
\(347\) 10.7229i 0.575634i 0.957685 + 0.287817i \(0.0929295\pi\)
−0.957685 + 0.287817i \(0.907071\pi\)
\(348\) −3.23431 + 2.05561i −0.173377 + 0.110192i
\(349\) 1.54121 0.889816i 0.0824989 0.0476307i −0.458183 0.888858i \(-0.651500\pi\)
0.540682 + 0.841227i \(0.318166\pi\)
\(350\) −3.06103 + 3.35339i −0.163619 + 0.179246i
\(351\) 10.6523 15.4120i 0.568578 0.822630i
\(352\) 9.87910 17.1111i 0.526558 0.912025i
\(353\) 3.11149 5.38926i 0.165608 0.286842i −0.771263 0.636517i \(-0.780375\pi\)
0.936871 + 0.349675i \(0.113708\pi\)
\(354\) −0.894961 21.0156i −0.0475666 1.11697i
\(355\) 7.70912 4.45086i 0.409157 0.236227i
\(356\) 7.60041 0.402821
\(357\) −4.02874 + 1.47018i −0.213223 + 0.0778101i
\(358\) 13.7360 23.7915i 0.725971 1.25742i
\(359\) 6.64850 + 3.83852i 0.350895 + 0.202589i 0.665079 0.746773i \(-0.268398\pi\)
−0.314185 + 0.949362i \(0.601731\pi\)
\(360\) −7.04454 3.30335i −0.371280 0.174102i
\(361\) −7.05703 + 12.2231i −0.371422 + 0.643322i
\(362\) 10.4717 0.550379
\(363\) 2.34992 + 3.69739i 0.123339 + 0.194063i
\(364\) 5.60365 12.3779i 0.293711 0.648779i
\(365\) 28.2939i 1.48097i
\(366\) −9.10830 14.3311i −0.476098 0.749098i
\(367\) 12.3478 + 7.12898i 0.644548 + 0.372130i 0.786364 0.617763i \(-0.211961\pi\)
−0.141817 + 0.989893i \(0.545294\pi\)
\(368\) 30.0853i 1.56830i
\(369\) 15.1311 + 21.7085i 0.787693 + 1.13010i
\(370\) −31.8318 18.3781i −1.65486 0.955432i
\(371\) 10.0154 10.9720i 0.519973 0.569636i
\(372\) 6.02891 3.83174i 0.312584 0.198667i
\(373\) −1.46881 2.54406i −0.0760522 0.131726i 0.825491 0.564415i \(-0.190898\pi\)
−0.901543 + 0.432689i \(0.857565\pi\)
\(374\) −2.52013 + 4.36499i −0.130313 + 0.225708i
\(375\) −17.1582 + 0.730693i −0.886048 + 0.0377328i
\(376\) 6.70201 + 3.86941i 0.345630 + 0.199549i
\(377\) 1.16129 5.47916i 0.0598096 0.282191i
\(378\) 10.7213 + 23.0706i 0.551446 + 1.18662i
\(379\) −11.0711 19.1757i −0.568684 0.984990i −0.996696 0.0812174i \(-0.974119\pi\)
0.428012 0.903773i \(-0.359214\pi\)
\(380\) 7.66508i 0.393210i
\(381\) −17.3522 27.3021i −0.888978 1.39873i
\(382\) 15.9097 + 27.5564i 0.814011 + 1.40991i
\(383\) 1.66463 + 2.88322i 0.0850586 + 0.147326i 0.905416 0.424525i \(-0.139559\pi\)
−0.820358 + 0.571851i \(0.806226\pi\)
\(384\) −0.602014 14.1366i −0.0307214 0.721404i
\(385\) −12.6390 + 13.8462i −0.644143 + 0.705667i
\(386\) −11.7512 6.78455i −0.598120 0.345325i
\(387\) 13.7566 29.3365i 0.699286 1.49126i
\(388\) −15.4993 8.94853i −0.786858 0.454293i
\(389\) −9.50808 + 5.48949i −0.482079 + 0.278328i −0.721282 0.692641i \(-0.756447\pi\)
0.239204 + 0.970969i \(0.423114\pi\)
\(390\) −26.3584 + 9.84026i −1.33471 + 0.498281i
\(391\) 5.84143i 0.295414i
\(392\) −4.30046 6.09192i −0.217206 0.307688i
\(393\) 9.64455 18.4786i 0.486503 0.932120i
\(394\) 2.13723 + 3.70180i 0.107672 + 0.186494i
\(395\) −7.45917 12.9197i −0.375312 0.650059i
\(396\) 11.2598 + 5.27999i 0.565826 + 0.265329i
\(397\) 0.0179925 0.0103880i 0.000903018 0.000521357i −0.499548 0.866286i \(-0.666501\pi\)
0.500451 + 0.865765i \(0.333167\pi\)
\(398\) 1.20924 0.0606140
\(399\) 6.50453 7.76505i 0.325634 0.388739i
\(400\) 2.23495 + 3.87105i 0.111748 + 0.193552i
\(401\) 28.3555i 1.41601i 0.706209 + 0.708004i \(0.250404\pi\)
−0.706209 + 0.708004i \(0.749596\pi\)
\(402\) −32.0258 16.7153i −1.59730 0.833683i
\(403\) −2.16470 + 10.2134i −0.107832 + 0.508766i
\(404\) −3.58371 + 6.20717i −0.178296 + 0.308818i
\(405\) 7.58254 20.5578i 0.376779 1.02152i
\(406\) 5.61710 + 5.12738i 0.278772 + 0.254468i
\(407\) −20.5637 11.8724i −1.01930 0.588495i
\(408\) 0.0734677 + 1.72518i 0.00363720 + 0.0854091i
\(409\) 20.8808i 1.03249i −0.856441 0.516245i \(-0.827329\pi\)
0.856441 0.516245i \(-0.172671\pi\)
\(410\) 39.7385i 1.96254i
\(411\) −0.766779 18.0056i −0.0378224 0.888152i
\(412\) −2.15844 1.24617i −0.106339 0.0613946i
\(413\) −16.5498 + 5.25298i −0.814361 + 0.258482i
\(414\) −34.5260 + 2.94596i −1.69686 + 0.144786i
\(415\) 16.9775 29.4060i 0.833394 1.44348i
\(416\) −18.1996 16.3678i −0.892309 0.802497i
\(417\) 12.8969 + 6.73131i 0.631564 + 0.329634i
\(418\) 11.9048i 0.582281i
\(419\) −15.6621 27.1276i −0.765144 1.32527i −0.940170 0.340705i \(-0.889334\pi\)
0.175026 0.984564i \(-0.443999\pi\)
\(420\) 2.74628 15.6519i 0.134005 0.763735i
\(421\) −11.0561 −0.538842 −0.269421 0.963022i \(-0.586832\pi\)
−0.269421 + 0.963022i \(0.586832\pi\)
\(422\) 40.1286 23.1682i 1.95343 1.12781i
\(423\) −9.25288 + 19.7322i −0.449891 + 0.959411i
\(424\) −2.99071 5.18007i −0.145242 0.251566i
\(425\) −0.433943 0.751611i −0.0210493 0.0364585i
\(426\) −5.42240 + 10.3891i −0.262716 + 0.503353i
\(427\) −9.44992 + 10.3525i −0.457314 + 0.500992i
\(428\) 4.22227i 0.204091i
\(429\) −17.0278 + 6.35691i −0.822109 + 0.306914i
\(430\) −42.1402 + 24.3297i −2.03218 + 1.17328i
\(431\) −7.60546 4.39102i −0.366342 0.211508i 0.305517 0.952187i \(-0.401171\pi\)
−0.671859 + 0.740679i \(0.734504\pi\)
\(432\) 24.8413 3.18907i 1.19518 0.153434i
\(433\) −35.7967 20.6673i −1.72028 0.993205i −0.918329 0.395817i \(-0.870461\pi\)
−0.801953 0.597388i \(-0.796205\pi\)
\(434\) −10.4705 9.55767i −0.502602 0.458783i
\(435\) −0.278705 6.54459i −0.0133629 0.313789i
\(436\) 0.568121 + 0.984014i 0.0272081 + 0.0471257i
\(437\) 6.89853 + 11.9486i 0.330002 + 0.571580i
\(438\) 19.9800 + 31.4367i 0.954679 + 1.50210i
\(439\) 5.68232i 0.271202i 0.990763 + 0.135601i \(0.0432966\pi\)
−0.990763 + 0.135601i \(0.956703\pi\)
\(440\) 3.77416 + 6.53704i 0.179926 + 0.311641i
\(441\) 16.0642 13.5256i 0.764962 0.644075i
\(442\) 4.64267 + 4.17538i 0.220829 + 0.198602i
\(443\) −4.11449 2.37550i −0.195485 0.112863i 0.399063 0.916924i \(-0.369336\pi\)
−0.594548 + 0.804060i \(0.702669\pi\)
\(444\) 20.1090 0.856351i 0.954329 0.0406406i
\(445\) −6.49572 + 11.2509i −0.307927 + 0.533345i
\(446\) −3.25898 5.64471i −0.154317 0.267285i
\(447\) 26.8737 17.0799i 1.27108 0.807851i
\(448\) 7.37021 2.33934i 0.348210 0.110523i
\(449\) 32.9977 + 19.0512i 1.55726 + 0.899084i 0.997518 + 0.0704157i \(0.0224326\pi\)
0.559741 + 0.828668i \(0.310901\pi\)
\(450\) −4.22358 + 2.94389i −0.199102 + 0.138776i
\(451\) 25.6715i 1.20882i
\(452\) −4.07356 2.35187i −0.191604 0.110623i
\(453\) 21.3617 + 33.6108i 1.00366 + 1.57917i
\(454\) 16.7509i 0.786158i
\(455\) 13.5339 + 18.8739i 0.634478 + 0.884823i
\(456\) −2.18766 3.44208i −0.102447 0.161190i
\(457\) 2.27140 0.106251 0.0531257 0.998588i \(-0.483082\pi\)
0.0531257 + 0.998588i \(0.483082\pi\)
\(458\) −7.67632 + 13.2958i −0.358691 + 0.621271i
\(459\) −4.82324 + 0.619197i −0.225130 + 0.0289017i
\(460\) 18.7450 + 10.8224i 0.873990 + 0.504598i
\(461\) −18.0260 + 31.2220i −0.839557 + 1.45415i 0.0507092 + 0.998713i \(0.483852\pi\)
−0.890266 + 0.455441i \(0.849482\pi\)
\(462\) 4.26530 24.3093i 0.198440 1.13097i
\(463\) 16.4298 0.763555 0.381778 0.924254i \(-0.375312\pi\)
0.381778 + 0.924254i \(0.375312\pi\)
\(464\) 6.48421 3.74366i 0.301022 0.173795i
\(465\) 0.519519 + 12.1994i 0.0240921 + 0.565735i
\(466\) 13.4800 23.3480i 0.624449 1.08158i
\(467\) 1.05567 1.82847i 0.0488504 0.0846115i −0.840566 0.541709i \(-0.817778\pi\)
0.889417 + 0.457097i \(0.151111\pi\)
\(468\) 9.29109 12.2897i 0.429481 0.568090i
\(469\) −6.39858 + 29.1259i −0.295459 + 1.34491i
\(470\) 28.3442 16.3645i 1.30742 0.754839i
\(471\) −3.20193 + 2.03503i −0.147537 + 0.0937691i
\(472\) 6.99113i 0.321793i
\(473\) −27.2230 + 15.7172i −1.25172 + 0.722678i
\(474\) 17.4110 + 9.08736i 0.799714 + 0.417396i
\(475\) 1.77526 + 1.02495i 0.0814544 + 0.0470277i
\(476\) −3.36142 + 1.06693i −0.154071 + 0.0489027i
\(477\) 13.8192 9.63213i 0.632736 0.441025i
\(478\) −10.7885 −0.493453
\(479\) −19.4472 + 33.6836i −0.888566 + 1.53904i −0.0469948 + 0.998895i \(0.514964\pi\)
−0.841571 + 0.540146i \(0.818369\pi\)
\(480\) −25.3785 13.2459i −1.15837 0.604589i
\(481\) −19.6704 + 21.8718i −0.896892 + 0.997268i
\(482\) 37.6555 1.71516
\(483\) 9.80564 + 26.8704i 0.446172 + 1.22265i
\(484\) 1.80132 + 3.11997i 0.0818780 + 0.141817i
\(485\) 26.4931 15.2958i 1.20299 0.694546i
\(486\) 6.09226 + 28.1957i 0.276350 + 1.27898i
\(487\) 15.3530 0.695710 0.347855 0.937548i \(-0.386910\pi\)
0.347855 + 0.937548i \(0.386910\pi\)
\(488\) 2.82186 + 4.88760i 0.127740 + 0.221251i
\(489\) −16.8225 26.4687i −0.760739 1.19695i
\(490\) −31.4060 + 2.86888i −1.41878 + 0.129603i
\(491\) 16.2138 9.36104i 0.731719 0.422458i −0.0873319 0.996179i \(-0.527834\pi\)
0.819051 + 0.573721i \(0.194501\pi\)
\(492\) 11.6721 + 18.3649i 0.526217 + 0.827955i
\(493\) −1.25899 + 0.726877i −0.0567020 + 0.0327369i
\(494\) −14.4275 3.05788i −0.649126 0.137580i
\(495\) −17.4392 + 12.1554i −0.783834 + 0.546343i
\(496\) −12.0869 + 6.97835i −0.542716 + 0.313337i
\(497\) 9.44837 + 2.07568i 0.423817 + 0.0931071i
\(498\) 1.90191 + 44.6610i 0.0852268 + 2.00131i
\(499\) −9.29409 + 16.0978i −0.416060 + 0.720638i −0.995539 0.0943496i \(-0.969923\pi\)
0.579479 + 0.814987i \(0.303256\pi\)
\(500\) −14.1227 −0.631585
\(501\) 19.4027 + 30.5284i 0.866850 + 1.36391i
\(502\) −14.6692 8.46928i −0.654720 0.378003i
\(503\) −16.2299 + 28.1110i −0.723655 + 1.25341i 0.235870 + 0.971785i \(0.424206\pi\)
−0.959525 + 0.281623i \(0.909127\pi\)
\(504\) −3.23390 7.81246i −0.144049 0.347995i
\(505\) −6.12567 10.6100i −0.272589 0.472137i
\(506\) 29.1132 + 16.8085i 1.29424 + 0.747228i
\(507\) 3.33024 + 22.2690i 0.147901 + 0.989002i
\(508\) −13.3012 23.0383i −0.590144 1.02216i
\(509\) 17.1235 0.758988 0.379494 0.925194i \(-0.376098\pi\)
0.379494 + 0.925194i \(0.376098\pi\)
\(510\) 6.47399 + 3.37899i 0.286673 + 0.149624i
\(511\) 20.7293 22.7092i 0.917012 1.00460i
\(512\) 22.4522i 0.992257i
\(513\) 9.13466 6.96265i 0.403305 0.307409i
\(514\) 6.59866i 0.291055i
\(515\) 3.68943 2.13010i 0.162576 0.0938632i
\(516\) 12.3287 23.6213i 0.542742 1.03987i
\(517\) 18.3106 10.5716i 0.805300 0.464940i
\(518\) −12.0842 38.0719i −0.530950 1.67278i
\(519\) 18.6842 + 29.3978i 0.820143 + 1.29042i
\(520\) 8.89175 2.89484i 0.389929 0.126947i
\(521\) −9.49805 16.4511i −0.416117 0.720736i 0.579428 0.815024i \(-0.303276\pi\)
−0.995545 + 0.0942874i \(0.969943\pi\)
\(522\) 4.93117 + 7.07472i 0.215832 + 0.309652i
\(523\) 6.29410i 0.275222i 0.990486 + 0.137611i \(0.0439424\pi\)
−0.990486 + 0.137611i \(0.956058\pi\)
\(524\) 8.57043 14.8444i 0.374401 0.648481i
\(525\) 3.25781 + 2.72896i 0.142183 + 0.119102i
\(526\) −15.4236 + 26.7145i −0.672502 + 1.16481i
\(527\) 2.34681 1.35493i 0.102229 0.0590218i
\(528\) −21.5401 11.2424i −0.937411 0.489265i
\(529\) −15.9605 −0.693936
\(530\) −25.2967 −1.09882
\(531\) −19.6170 + 1.67384i −0.851305 + 0.0726384i
\(532\) 5.61576 6.15213i 0.243474 0.266729i
\(533\) −31.1116 6.59401i −1.34759 0.285618i
\(534\) −0.727685 17.0876i −0.0314900 0.739453i
\(535\) −6.25024 3.60858i −0.270221 0.156012i
\(536\) 10.3982 + 6.00338i 0.449132 + 0.259307i
\(537\) −22.7955 11.8977i −0.983699 0.513424i
\(538\) 19.5321i 0.842090i
\(539\) −20.2886 + 1.85333i −0.873892 + 0.0798284i
\(540\) 6.94904 16.6248i 0.299039 0.715419i
\(541\) −2.28067 + 3.95024i −0.0980538 + 0.169834i −0.910879 0.412673i \(-0.864595\pi\)
0.812825 + 0.582508i \(0.197928\pi\)
\(542\) −0.424747 −0.0182444
\(543\) −0.417021 9.79254i −0.0178961 0.420238i
\(544\) 6.35324i 0.272393i
\(545\) −1.94219 −0.0831941
\(546\) −28.3651 11.4133i −1.21391 0.488444i
\(547\) −4.59770 −0.196584 −0.0982918 0.995158i \(-0.531338\pi\)
−0.0982918 + 0.995158i \(0.531338\pi\)
\(548\) 14.8201i 0.633084i
\(549\) −13.0389 + 9.08830i −0.556488 + 0.387879i
\(550\) 4.99462 0.212971
\(551\) 1.71684 2.97365i 0.0731397 0.126682i
\(552\) 11.5064 0.490007i 0.489746 0.0208561i
\(553\) 3.47863 15.8345i 0.147926 0.673350i
\(554\) 7.58243i 0.322146i
\(555\) −15.9185 + 30.4992i −0.675704 + 1.29462i
\(556\) 10.3605 + 5.98164i 0.439383 + 0.253678i
\(557\) 10.9811 + 6.33996i 0.465286 + 0.268633i 0.714264 0.699876i \(-0.246762\pi\)
−0.248979 + 0.968509i \(0.580095\pi\)
\(558\) −9.19193 13.1876i −0.389126 0.558276i
\(559\) 12.0553 + 37.0291i 0.509887 + 1.56616i
\(560\) −6.66180 + 30.3240i −0.281512 + 1.28142i
\(561\) 4.18227 + 2.18286i 0.176575 + 0.0921604i
\(562\) 47.4630 2.00210
\(563\) 27.4425 1.15656 0.578281 0.815838i \(-0.303724\pi\)
0.578281 + 0.815838i \(0.303724\pi\)
\(564\) −8.29250 + 15.8881i −0.349177 + 0.669009i
\(565\) 6.96296 4.02007i 0.292934 0.169126i
\(566\) −25.6219 + 44.3785i −1.07697 + 1.86537i
\(567\) 21.1474 10.9448i 0.888107 0.459637i
\(568\) 1.94748 3.37314i 0.0817145 0.141534i
\(569\) 0.840760i 0.0352465i 0.999845 + 0.0176233i \(0.00560995\pi\)
−0.999845 + 0.0176233i \(0.994390\pi\)
\(570\) −17.2330 + 0.733877i −0.721811 + 0.0307387i
\(571\) −8.35656 14.4740i −0.349711 0.605717i 0.636487 0.771287i \(-0.280387\pi\)
−0.986198 + 0.165570i \(0.947054\pi\)
\(572\) −14.2123 + 4.62703i −0.594247 + 0.193466i
\(573\) 25.1357 15.9753i 1.05006 0.667377i
\(574\) 29.1141 31.8948i 1.21520 1.33126i
\(575\) −5.01302 + 2.89427i −0.209057 + 0.120699i
\(576\) 8.73616 0.745420i 0.364007 0.0310592i
\(577\) 13.5983 7.85098i 0.566104 0.326840i −0.189488 0.981883i \(-0.560683\pi\)
0.755592 + 0.655043i \(0.227349\pi\)
\(578\) 29.8377i 1.24109i
\(579\) −5.87657 + 11.2593i −0.244222 + 0.467919i
\(580\) 5.38675i 0.223672i
\(581\) 35.1705 11.1633i 1.45912 0.463132i
\(582\) −18.6346 + 35.7030i −0.772427 + 1.47994i
\(583\) −16.3419 −0.676813
\(584\) −6.19003 10.7214i −0.256145 0.443657i
\(585\) 10.2518 + 24.2570i 0.423858 + 1.00291i
\(586\) −3.88079 2.24058i −0.160314 0.0925573i
\(587\) −14.8711 25.7575i −0.613796 1.06313i −0.990594 0.136831i \(-0.956308\pi\)
0.376798 0.926295i \(-0.377025\pi\)
\(588\) 13.6715 10.5505i 0.563802 0.435094i
\(589\) −3.20026 + 5.54302i −0.131864 + 0.228396i
\(590\) 25.6057 + 14.7834i 1.05417 + 0.608625i
\(591\) 3.37661 2.14604i 0.138895 0.0882764i
\(592\) −39.3236 −1.61619
\(593\) −1.91756 + 3.32131i −0.0787448 + 0.136390i −0.902709 0.430252i \(-0.858425\pi\)
0.823964 + 0.566642i \(0.191758\pi\)
\(594\) 10.7927 25.8203i 0.442829 1.05942i
\(595\) 1.29347 5.88778i 0.0530271 0.241376i
\(596\) 22.6768 13.0925i 0.928879 0.536288i
\(597\) −0.0481566 1.13082i −0.00197092 0.0462814i
\(598\) 27.8485 30.9652i 1.13881 1.26626i
\(599\) 37.1089 21.4249i 1.51623 0.875396i 0.516411 0.856341i \(-0.327268\pi\)
0.999818 0.0190552i \(-0.00606582\pi\)
\(600\) 1.44412 0.917828i 0.0589559 0.0374702i
\(601\) −15.3980 + 8.89003i −0.628097 + 0.362632i −0.780015 0.625761i \(-0.784788\pi\)
0.151918 + 0.988393i \(0.451455\pi\)
\(602\) −51.6475 11.3463i −2.10499 0.462440i
\(603\) −14.3558 + 30.6145i −0.584615 + 1.24672i
\(604\) 16.3747 + 28.3618i 0.666276 + 1.15402i
\(605\) −6.15800 −0.250358
\(606\) 14.2984 + 7.46278i 0.580831 + 0.303155i
\(607\) −3.70808 + 2.14086i −0.150506 + 0.0868950i −0.573362 0.819302i \(-0.694361\pi\)
0.422856 + 0.906197i \(0.361028\pi\)
\(608\) −7.50297 12.9955i −0.304286 0.527038i
\(609\) 4.57115 5.45700i 0.185232 0.221129i
\(610\) 23.8684 0.966405
\(611\) −8.10861 24.9063i −0.328039 1.00760i
\(612\) −3.98441 + 0.339973i −0.161060 + 0.0137426i
\(613\) 3.58062 6.20182i 0.144620 0.250489i −0.784611 0.619988i \(-0.787137\pi\)
0.929231 + 0.369499i \(0.120471\pi\)
\(614\) 58.7016 2.36900
\(615\) −37.1613 + 1.58253i −1.49849 + 0.0638139i
\(616\) −1.76010 + 8.01185i −0.0709164 + 0.322807i
\(617\) 4.73329 + 2.73277i 0.190555 + 0.110017i 0.592242 0.805760i \(-0.298243\pi\)
−0.401687 + 0.915777i \(0.631576\pi\)
\(618\) −2.59505 + 4.97201i −0.104388 + 0.200004i
\(619\) 4.25493 2.45658i 0.171020 0.0987384i −0.412047 0.911163i \(-0.635186\pi\)
0.583067 + 0.812424i \(0.301853\pi\)
\(620\) 10.0411i 0.403262i
\(621\) 4.12986 + 32.1695i 0.165725 + 1.29092i
\(622\) 20.5609 11.8709i 0.824418 0.475978i
\(623\) −13.4565 + 4.27115i −0.539122 + 0.171120i
\(624\) −19.1577 + 23.2169i −0.766921 + 0.929421i
\(625\) 14.3884 24.9215i 0.575537 0.996860i
\(626\) −17.4513 + 30.2265i −0.697492 + 1.20809i
\(627\) −11.1327 + 0.474092i −0.444597 + 0.0189334i
\(628\) −2.70189 + 1.55994i −0.107817 + 0.0622482i
\(629\) 7.63516 0.304434
\(630\) −35.4523 4.67577i −1.41245 0.186287i
\(631\) −4.12942 + 7.15236i −0.164390 + 0.284731i −0.936438 0.350832i \(-0.885899\pi\)
0.772049 + 0.635563i \(0.219232\pi\)
\(632\) −5.65302 3.26377i −0.224865 0.129826i
\(633\) −23.2637 36.6034i −0.924651 1.45485i
\(634\) −12.4307 + 21.5306i −0.493687 + 0.855091i
\(635\) 45.4716 1.80448
\(636\) 11.6907 7.43019i 0.463568 0.294626i
\(637\) −2.96529 + 25.0641i −0.117489 + 0.993074i
\(638\) 8.36624i 0.331223i
\(639\) 9.93125 + 4.65700i 0.392874 + 0.184228i
\(640\) 17.2242 + 9.94439i 0.680846 + 0.393087i
\(641\) 18.9092i 0.746868i −0.927657 0.373434i \(-0.878180\pi\)
0.927657 0.373434i \(-0.121820\pi\)
\(642\) 9.49270 0.404252i 0.374647 0.0159546i
\(643\) −9.95617 5.74820i −0.392633 0.226687i 0.290667 0.956824i \(-0.406123\pi\)
−0.683300 + 0.730137i \(0.739456\pi\)
\(644\) 7.11611 + 22.4197i 0.280414 + 0.883458i
\(645\) 24.4300 + 38.4384i 0.961929 + 1.51351i
\(646\) 1.91399 + 3.31512i 0.0753048 + 0.130432i
\(647\) 15.5348 26.9071i 0.610737 1.05783i −0.380379 0.924831i \(-0.624206\pi\)
0.991116 0.132998i \(-0.0424603\pi\)
\(648\) −1.62429 9.44885i −0.0638081 0.371186i
\(649\) 16.5415 + 9.55026i 0.649312 + 0.374880i
\(650\) 1.28293 6.05304i 0.0503205 0.237420i
\(651\) −8.52084 + 10.1721i −0.333958 + 0.398676i
\(652\) −12.8952 22.3351i −0.505013 0.874708i
\(653\) 2.11510i 0.0827702i −0.999143 0.0413851i \(-0.986823\pi\)
0.999143 0.0413851i \(-0.0131770\pi\)
\(654\) 2.15791 1.37149i 0.0843811 0.0536294i
\(655\) 14.6495 + 25.3737i 0.572403 + 0.991432i
\(656\) −21.2571 36.8184i −0.829950 1.43752i
\(657\) 28.6022 19.9361i 1.11588 0.777781i
\(658\) 34.7389 + 7.63168i 1.35426 + 0.297514i
\(659\) −36.1228 20.8555i −1.40714 0.812415i −0.412033 0.911169i \(-0.635181\pi\)
−0.995112 + 0.0987537i \(0.968514\pi\)
\(660\) −14.7532 + 9.37660i −0.574269 + 0.364984i
\(661\) 16.0439 + 9.26296i 0.624036 + 0.360287i 0.778439 0.627721i \(-0.216012\pi\)
−0.154403 + 0.988008i \(0.549345\pi\)
\(662\) 13.5674 7.83315i 0.527313 0.304444i
\(663\) 3.71970 4.50785i 0.144461 0.175070i
\(664\) 14.8571i 0.576567i
\(665\) 4.30750 + 13.5710i 0.167037 + 0.526260i
\(666\) −3.85058 45.1279i −0.149207 1.74867i
\(667\) 4.84805 + 8.39706i 0.187717 + 0.325135i
\(668\) 14.8730 + 25.7608i 0.575454 + 0.996716i
\(669\) −5.14884 + 3.27241i −0.199066 + 0.126519i
\(670\) 43.9760 25.3895i 1.69894 0.980883i
\(671\) 15.4192 0.595253
\(672\) −10.6648 29.2248i −0.411403 1.12737i
\(673\) −14.3227 24.8076i −0.552099 0.956264i −0.998123 0.0612425i \(-0.980494\pi\)
0.446024 0.895021i \(-0.352840\pi\)
\(674\) 23.9442i 0.922297i
\(675\) 2.92117 + 3.83243i 0.112436 + 0.147510i
\(676\) 1.95695 + 18.4126i 0.0752674 + 0.708177i
\(677\) −14.9891 + 25.9619i −0.576079 + 0.997798i 0.419845 + 0.907596i \(0.362085\pi\)
−0.995924 + 0.0902018i \(0.971249\pi\)
\(678\) −4.89757 + 9.38354i −0.188090 + 0.360373i
\(679\) 32.4702 + 7.13327i 1.24609 + 0.273750i
\(680\) −2.10198 1.21358i −0.0806073 0.0465387i
\(681\) 15.6645 0.667083i 0.600266 0.0255627i
\(682\) 15.5951i 0.597166i
\(683\) 25.3505i 0.970011i 0.874511 + 0.485006i \(0.161182\pi\)
−0.874511 + 0.485006i \(0.838818\pi\)
\(684\) 7.74859 5.40087i 0.296275 0.206507i
\(685\) 21.9383 + 12.6661i 0.838219 + 0.483946i
\(686\) −27.3089 20.7068i −1.04266 0.790588i
\(687\) 12.7392 + 6.64899i 0.486030 + 0.253675i
\(688\) −26.0291 + 45.0837i −0.992350 + 1.71880i
\(689\) −4.19761 + 19.8050i −0.159916 + 0.754509i
\(690\) 22.5368 43.1795i 0.857961 1.64382i
\(691\) 30.7135i 1.16840i −0.811611 0.584199i \(-0.801409\pi\)
0.811611 0.584199i \(-0.198591\pi\)
\(692\) 14.3222 + 24.8068i 0.544448 + 0.943012i
\(693\) −22.9026 3.02059i −0.869996 0.114743i
\(694\) 19.8426 0.753215
\(695\) −17.7093 + 10.2245i −0.671751 + 0.387836i
\(696\) −1.53741 2.41897i −0.0582753 0.0916910i
\(697\) 4.12733 + 7.14874i 0.156334 + 0.270778i
\(698\) −1.64660 2.85199i −0.0623247 0.107950i
\(699\) −22.3706 11.6760i −0.846135 0.441625i
\(700\) 2.58112 + 2.35608i 0.0975570 + 0.0890515i
\(701\) 18.0322i 0.681067i −0.940232 0.340534i \(-0.889392\pi\)
0.940232 0.340534i \(-0.110608\pi\)
\(702\) −28.5198 19.7120i −1.07641 0.743982i
\(703\) −15.6177 + 9.01687i −0.589032 + 0.340078i
\(704\) −7.36654 4.25307i −0.277637 0.160294i
\(705\) −16.4320 25.8542i −0.618864 0.973726i
\(706\) −9.97281 5.75780i −0.375332 0.216698i
\(707\) 2.85674 13.0037i 0.107439 0.489053i
\(708\) −16.1758 + 0.688854i −0.607922 + 0.0258887i
\(709\) −8.17920 14.1668i −0.307176 0.532045i 0.670567 0.741849i \(-0.266051\pi\)
−0.977744 + 0.209804i \(0.932718\pi\)
\(710\) −8.23629 14.2657i −0.309103 0.535381i
\(711\) 7.80464 16.6437i 0.292697 0.624188i
\(712\) 5.68442i 0.213033i
\(713\) −9.03698 15.6525i −0.338438 0.586191i
\(714\) 2.72056 + 7.45516i 0.101814 + 0.279002i
\(715\) 5.29721 24.9931i 0.198104 0.934688i
\(716\) −18.3124 10.5726i −0.684365 0.395118i
\(717\) 0.429637 + 10.0888i 0.0160451 + 0.376773i
\(718\) 7.10315 12.3030i 0.265087 0.459145i
\(719\) 6.67918 + 11.5687i 0.249091 + 0.431439i 0.963274 0.268520i \(-0.0865347\pi\)
−0.714183 + 0.699960i \(0.753201\pi\)
\(720\) −14.9464 + 31.8738i −0.557019 + 1.18787i
\(721\) 4.52181 + 0.993382i 0.168401 + 0.0369955i
\(722\) 22.6188 + 13.0590i 0.841786 + 0.486005i
\(723\) −1.49958 35.2133i −0.0557700 1.30960i
\(724\) 8.06008i 0.299550i
\(725\) 1.24759 + 0.720295i 0.0463342 + 0.0267511i
\(726\) 6.84200 4.34852i 0.253930 0.161389i
\(727\) 14.3254i 0.531298i 0.964070 + 0.265649i \(0.0855863\pi\)
−0.964070 + 0.265649i \(0.914414\pi\)
\(728\) 9.25757 + 4.19102i 0.343108 + 0.155330i
\(729\) 26.1245 6.82001i 0.967573 0.252593i
\(730\) −52.3578 −1.93785
\(731\) 5.05387 8.75355i 0.186924 0.323762i
\(732\) −11.0307 + 7.01068i −0.407706 + 0.259122i
\(733\) −23.6903 13.6776i −0.875022 0.505194i −0.00600831 0.999982i \(-0.501913\pi\)
−0.869014 + 0.494788i \(0.835246\pi\)
\(734\) 13.1921 22.8495i 0.486931 0.843389i
\(735\) 3.93353 + 29.2549i 0.145090 + 1.07908i
\(736\) 42.3742 1.56193
\(737\) 28.4089 16.4019i 1.04646 0.604171i
\(738\) 40.1714 28.0000i 1.47873 1.03069i
\(739\) 22.5289 39.0212i 0.828739 1.43542i −0.0702895 0.997527i \(-0.522392\pi\)
0.899028 0.437891i \(-0.144274\pi\)
\(740\) −14.1457 + 24.5010i −0.520005 + 0.900676i
\(741\) −2.28500 + 13.6136i −0.0839417 + 0.500109i
\(742\) −20.3036 18.5334i −0.745368 0.680383i
\(743\) −17.5753 + 10.1471i −0.644775 + 0.372261i −0.786452 0.617652i \(-0.788084\pi\)
0.141676 + 0.989913i \(0.454751\pi\)
\(744\) 2.86580 + 4.50908i 0.105065 + 0.165311i
\(745\) 44.7581i 1.63981i
\(746\) −4.70777 + 2.71803i −0.172364 + 0.0995141i
\(747\) 41.6888 3.55713i 1.52531 0.130149i
\(748\) 3.35975 + 1.93975i 0.122845 + 0.0709243i
\(749\) −2.37276 7.47550i −0.0866988 0.273149i
\(750\) 1.35214 + 31.7512i 0.0493733 + 1.15939i
\(751\) 24.9871 0.911794 0.455897 0.890033i \(-0.349319\pi\)
0.455897 + 0.890033i \(0.349319\pi\)
\(752\) 17.5076 30.3240i 0.638435 1.10580i
\(753\) −7.33583 + 14.0551i −0.267333 + 0.512198i
\(754\) −10.1392 2.14897i −0.369246 0.0782608i
\(755\) −55.9787 −2.03728
\(756\) 17.7575 8.25224i 0.645834 0.300131i
\(757\) −19.3012 33.4307i −0.701515 1.21506i −0.967934 0.251203i \(-0.919174\pi\)
0.266419 0.963857i \(-0.414159\pi\)
\(758\) −35.4846 + 20.4870i −1.28886 + 0.744122i
\(759\) 14.5590 27.8944i 0.528458 1.01250i
\(760\) 5.73279 0.207950
\(761\) −27.4503 47.5452i −0.995071 1.72351i −0.583415 0.812175i \(-0.698284\pi\)
−0.411656 0.911339i \(-0.635050\pi\)
\(762\) −50.5223 + 32.1101i −1.83023 + 1.16323i
\(763\) −1.55883 1.42293i −0.0564336 0.0515135i
\(764\) 21.2102 12.2457i 0.767360 0.443035i
\(765\) 2.90203 6.18869i 0.104923 0.223753i
\(766\) 5.33539 3.08039i 0.192776 0.111299i
\(767\) 15.8230 17.5938i 0.571334 0.635275i
\(768\) −36.2748 + 1.54478i −1.30895 + 0.0557425i
\(769\) 8.64544 4.99145i 0.311763 0.179996i −0.335952 0.941879i \(-0.609058\pi\)
0.647715 + 0.761883i \(0.275725\pi\)
\(770\) 25.6223 + 23.3884i 0.923363 + 0.842860i
\(771\) 6.17071 0.262783i 0.222233 0.00946391i
\(772\) −5.22209 + 9.04493i −0.187947 + 0.325534i
\(773\) 33.4816 1.20425 0.602124 0.798403i \(-0.294321\pi\)
0.602124 + 0.798403i