Properties

Label 273.2.r.b.269.27
Level $273$
Weight $2$
Character 273.269
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 269.27
Character \(\chi\) \(=\) 273.269
Dual form 273.2.r.b.68.6

$q$-expansion

\(f(q)\) \(=\) \(q+1.92371i q^{2} +(-1.08390 + 1.35099i) q^{3} -1.70067 q^{4} +(-1.94643 - 3.37132i) q^{5} +(-2.59891 - 2.08510i) q^{6} +(-0.630216 - 2.56960i) q^{7} +0.575834i q^{8} +(-0.650341 - 2.92866i) q^{9} +O(q^{10})\) \(q+1.92371i q^{2} +(-1.08390 + 1.35099i) q^{3} -1.70067 q^{4} +(-1.94643 - 3.37132i) q^{5} +(-2.59891 - 2.08510i) q^{6} +(-0.630216 - 2.56960i) q^{7} +0.575834i q^{8} +(-0.650341 - 2.92866i) q^{9} +(6.48544 - 3.74437i) q^{10} +(-2.13331 + 1.23167i) q^{11} +(1.84334 - 2.29758i) q^{12} +(-0.534698 - 3.56568i) q^{13} +(4.94316 - 1.21235i) q^{14} +(6.66433 + 1.02455i) q^{15} -4.50907 q^{16} -6.77955 q^{17} +(5.63390 - 1.25107i) q^{18} +(2.32508 + 1.34238i) q^{19} +(3.31022 + 5.73348i) q^{20} +(4.15458 + 1.93376i) q^{21} +(-2.36937 - 4.10387i) q^{22} +2.78942i q^{23} +(-0.777945 - 0.624144i) q^{24} +(-5.07718 + 8.79393i) q^{25} +(6.85935 - 1.02860i) q^{26} +(4.66149 + 2.29576i) q^{27} +(1.07179 + 4.37002i) q^{28} +(-0.0349680 - 0.0201888i) q^{29} +(-1.97094 + 12.8203i) q^{30} +(-0.270921 - 0.156417i) q^{31} -7.52248i q^{32} +(0.648317 - 4.21708i) q^{33} -13.0419i q^{34} +(-7.43625 + 7.12620i) q^{35} +(1.10601 + 4.98067i) q^{36} +4.07862 q^{37} +(-2.58236 + 4.47277i) q^{38} +(5.39675 + 3.14246i) q^{39} +(1.94132 - 1.12082i) q^{40} +(1.73777 - 3.00991i) q^{41} +(-3.72000 + 7.99222i) q^{42} +(-5.35117 - 9.26849i) q^{43} +(3.62805 - 2.09465i) q^{44} +(-8.60760 + 7.89294i) q^{45} -5.36604 q^{46} +(-2.67357 - 4.63075i) q^{47} +(4.88736 - 6.09170i) q^{48} +(-6.20566 + 3.23880i) q^{49} +(-16.9170 - 9.76702i) q^{50} +(7.34833 - 9.15910i) q^{51} +(0.909342 + 6.06403i) q^{52} +(-4.37708 - 2.52711i) q^{53} +(-4.41638 + 8.96736i) q^{54} +(8.30467 + 4.79471i) q^{55} +(1.47966 - 0.362900i) q^{56} +(-4.33368 + 1.68615i) q^{57} +(0.0388374 - 0.0672684i) q^{58} +3.46777 q^{59} +(-11.3338 - 1.74242i) q^{60} +(3.28281 + 1.89533i) q^{61} +(0.300900 - 0.521175i) q^{62} +(-7.11562 + 3.51680i) q^{63} +5.45294 q^{64} +(-10.9803 + 8.74299i) q^{65} +(8.11244 + 1.24717i) q^{66} +(3.23661 + 5.60598i) q^{67} +11.5297 q^{68} +(-3.76847 - 3.02344i) q^{69} +(-13.7087 - 14.3052i) q^{70} +(8.84935 - 5.10917i) q^{71} +(1.68642 - 0.374488i) q^{72} +(-7.25477 - 4.18854i) q^{73} +7.84610i q^{74} +(-6.37737 - 16.3909i) q^{75} +(-3.95417 - 2.28294i) q^{76} +(4.50933 + 4.70553i) q^{77} +(-6.04518 + 10.3818i) q^{78} +(2.62970 + 4.55477i) q^{79} +(8.77658 + 15.2015i) q^{80} +(-8.15411 + 3.80925i) q^{81} +(5.79019 + 3.34297i) q^{82} -3.83193 q^{83} +(-7.06556 - 3.28868i) q^{84} +(13.1959 + 22.8560i) q^{85} +(17.8299 - 10.2941i) q^{86} +(0.0651765 - 0.0253589i) q^{87} +(-0.709236 - 1.22843i) q^{88} +10.4003 q^{89} +(-15.1837 - 16.5585i) q^{90} +(-8.82539 + 3.62111i) q^{91} -4.74387i q^{92} +(0.504968 - 0.196473i) q^{93} +(8.90824 - 5.14317i) q^{94} -10.4514i q^{95} +(10.1628 + 8.15358i) q^{96} +(-12.5989 + 7.27395i) q^{97} +(-6.23052 - 11.9379i) q^{98} +(4.99451 + 5.44674i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 64q^{4} + 12q^{6} - 10q^{7} - 4q^{9} + O(q^{10}) \) \( 64q - 64q^{4} + 12q^{6} - 10q^{7} - 4q^{9} - 6q^{10} + 6q^{12} + 12q^{13} - 9q^{15} + 32q^{16} + 2q^{18} - 36q^{19} + 10q^{21} + 10q^{22} - 18q^{24} - 24q^{25} - 14q^{28} + 8q^{30} - 24q^{31} - 45q^{33} + 33q^{39} + 90q^{40} + 3q^{42} - 20q^{43} - 6q^{48} - 6q^{49} - 10q^{51} - 48q^{52} - 18q^{55} + 4q^{57} + 30q^{58} + 55q^{60} - 18q^{61} + 31q^{63} - 84q^{64} + 75q^{66} + 44q^{67} + 33q^{69} + 20q^{70} + 17q^{72} + 84q^{73} - 18q^{76} - 71q^{78} + 20q^{79} + 16q^{81} - 18q^{82} - 135q^{84} - 2q^{85} - 46q^{88} - 10q^{91} - 56q^{93} + 36q^{94} + 30q^{96} - 24q^{97} + 22q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.92371i 1.36027i 0.733087 + 0.680135i \(0.238079\pi\)
−0.733087 + 0.680135i \(0.761921\pi\)
\(3\) −1.08390 + 1.35099i −0.625787 + 0.779994i
\(4\) −1.70067 −0.850333
\(5\) −1.94643 3.37132i −0.870470 1.50770i −0.861512 0.507738i \(-0.830482\pi\)
−0.00895828 0.999960i \(-0.502852\pi\)
\(6\) −2.59891 2.08510i −1.06100 0.851239i
\(7\) −0.630216 2.56960i −0.238199 0.971216i
\(8\) 0.575834i 0.203588i
\(9\) −0.650341 2.92866i −0.216780 0.976220i
\(10\) 6.48544 3.74437i 2.05088 1.18407i
\(11\) −2.13331 + 1.23167i −0.643217 + 0.371362i −0.785853 0.618414i \(-0.787776\pi\)
0.142636 + 0.989775i \(0.454442\pi\)
\(12\) 1.84334 2.29758i 0.532127 0.663254i
\(13\) −0.534698 3.56568i −0.148299 0.988943i
\(14\) 4.94316 1.21235i 1.32112 0.324015i
\(15\) 6.66433 + 1.02455i 1.72072 + 0.264537i
\(16\) −4.50907 −1.12727
\(17\) −6.77955 −1.64428 −0.822141 0.569283i \(-0.807221\pi\)
−0.822141 + 0.569283i \(0.807221\pi\)
\(18\) 5.63390 1.25107i 1.32792 0.294879i
\(19\) 2.32508 + 1.34238i 0.533409 + 0.307964i 0.742403 0.669953i \(-0.233686\pi\)
−0.208995 + 0.977917i \(0.567019\pi\)
\(20\) 3.31022 + 5.73348i 0.740189 + 1.28204i
\(21\) 4.15458 + 1.93376i 0.906605 + 0.421981i
\(22\) −2.36937 4.10387i −0.505152 0.874948i
\(23\) 2.78942i 0.581634i 0.956779 + 0.290817i \(0.0939271\pi\)
−0.956779 + 0.290817i \(0.906073\pi\)
\(24\) −0.777945 0.624144i −0.158797 0.127403i
\(25\) −5.07718 + 8.79393i −1.01544 + 1.75879i
\(26\) 6.85935 1.02860i 1.34523 0.201726i
\(27\) 4.66149 + 2.29576i 0.897104 + 0.441819i
\(28\) 1.07179 + 4.37002i 0.202549 + 0.825857i
\(29\) −0.0349680 0.0201888i −0.00649340 0.00374897i 0.496750 0.867894i \(-0.334527\pi\)
−0.503243 + 0.864145i \(0.667860\pi\)
\(30\) −1.97094 + 12.8203i −0.359842 + 2.34065i
\(31\) −0.270921 0.156417i −0.0486589 0.0280932i 0.475473 0.879730i \(-0.342277\pi\)
−0.524132 + 0.851637i \(0.675610\pi\)
\(32\) 7.52248i 1.32980i
\(33\) 0.648317 4.21708i 0.112858 0.734099i
\(34\) 13.0419i 2.23667i
\(35\) −7.43625 + 7.12620i −1.25696 + 1.20455i
\(36\) 1.10601 + 4.98067i 0.184335 + 0.830112i
\(37\) 4.07862 0.670522 0.335261 0.942125i \(-0.391176\pi\)
0.335261 + 0.942125i \(0.391176\pi\)
\(38\) −2.58236 + 4.47277i −0.418914 + 0.725580i
\(39\) 5.39675 + 3.14246i 0.864172 + 0.503196i
\(40\) 1.94132 1.12082i 0.306949 0.177217i
\(41\) 1.73777 3.00991i 0.271394 0.470068i −0.697825 0.716268i \(-0.745849\pi\)
0.969219 + 0.246200i \(0.0791820\pi\)
\(42\) −3.72000 + 7.99222i −0.574008 + 1.23323i
\(43\) −5.35117 9.26849i −0.816045 1.41343i −0.908575 0.417722i \(-0.862829\pi\)
0.0925293 0.995710i \(-0.470505\pi\)
\(44\) 3.62805 2.09465i 0.546948 0.315781i
\(45\) −8.60760 + 7.89294i −1.28314 + 1.17661i
\(46\) −5.36604 −0.791179
\(47\) −2.67357 4.63075i −0.389980 0.675465i 0.602466 0.798144i \(-0.294185\pi\)
−0.992446 + 0.122679i \(0.960851\pi\)
\(48\) 4.88736 6.09170i 0.705430 0.879261i
\(49\) −6.20566 + 3.23880i −0.886522 + 0.462686i
\(50\) −16.9170 9.76702i −2.39242 1.38127i
\(51\) 7.34833 9.15910i 1.02897 1.28253i
\(52\) 0.909342 + 6.06403i 0.126103 + 0.840930i
\(53\) −4.37708 2.52711i −0.601238 0.347125i 0.168290 0.985737i \(-0.446175\pi\)
−0.769529 + 0.638612i \(0.779509\pi\)
\(54\) −4.41638 + 8.96736i −0.600993 + 1.22030i
\(55\) 8.30467 + 4.79471i 1.11980 + 0.646518i
\(56\) 1.47966 0.362900i 0.197728 0.0484945i
\(57\) −4.33368 + 1.68615i −0.574010 + 0.223336i
\(58\) 0.0388374 0.0672684i 0.00509960 0.00883277i
\(59\) 3.46777 0.451465 0.225732 0.974189i \(-0.427522\pi\)
0.225732 + 0.974189i \(0.427522\pi\)
\(60\) −11.3338 1.74242i −1.46319 0.224945i
\(61\) 3.28281 + 1.89533i 0.420321 + 0.242672i 0.695214 0.718802i \(-0.255309\pi\)
−0.274894 + 0.961475i \(0.588643\pi\)
\(62\) 0.300900 0.521175i 0.0382144 0.0661893i
\(63\) −7.11562 + 3.51680i −0.896484 + 0.443075i
\(64\) 5.45294 0.681617
\(65\) −10.9803 + 8.74299i −1.36194 + 1.08443i
\(66\) 8.11244 + 1.24717i 0.998572 + 0.153517i
\(67\) 3.23661 + 5.60598i 0.395415 + 0.684879i 0.993154 0.116812i \(-0.0372674\pi\)
−0.597739 + 0.801691i \(0.703934\pi\)
\(68\) 11.5297 1.39819
\(69\) −3.76847 3.02344i −0.453671 0.363979i
\(70\) −13.7087 14.3052i −1.63851 1.70980i
\(71\) 8.84935 5.10917i 1.05022 0.606348i 0.127512 0.991837i \(-0.459301\pi\)
0.922712 + 0.385489i \(0.125967\pi\)
\(72\) 1.68642 0.374488i 0.198747 0.0441339i
\(73\) −7.25477 4.18854i −0.849107 0.490232i 0.0112427 0.999937i \(-0.496421\pi\)
−0.860349 + 0.509705i \(0.829755\pi\)
\(74\) 7.84610i 0.912090i
\(75\) −6.37737 16.3909i −0.736395 1.89266i
\(76\) −3.95417 2.28294i −0.453575 0.261872i
\(77\) 4.50933 + 4.70553i 0.513886 + 0.536245i
\(78\) −6.04518 + 10.3818i −0.684482 + 1.17551i
\(79\) 2.62970 + 4.55477i 0.295864 + 0.512452i 0.975186 0.221389i \(-0.0710591\pi\)
−0.679321 + 0.733841i \(0.737726\pi\)
\(80\) 8.77658 + 15.2015i 0.981252 + 1.69958i
\(81\) −8.15411 + 3.80925i −0.906013 + 0.423250i
\(82\) 5.79019 + 3.34297i 0.639419 + 0.369169i
\(83\) −3.83193 −0.420609 −0.210305 0.977636i \(-0.567446\pi\)
−0.210305 + 0.977636i \(0.567446\pi\)
\(84\) −7.06556 3.28868i −0.770915 0.358824i
\(85\) 13.1959 + 22.8560i 1.43130 + 2.47908i
\(86\) 17.8299 10.2941i 1.92265 1.11004i
\(87\) 0.0651765 0.0253589i 0.00698766 0.00271875i
\(88\) −0.709236 1.22843i −0.0756048 0.130951i
\(89\) 10.4003 1.10243 0.551217 0.834362i \(-0.314164\pi\)
0.551217 + 0.834362i \(0.314164\pi\)
\(90\) −15.1837 16.5585i −1.60051 1.74542i
\(91\) −8.82539 + 3.62111i −0.925153 + 0.379595i
\(92\) 4.74387i 0.494582i
\(93\) 0.504968 0.196473i 0.0523627 0.0203733i
\(94\) 8.90824 5.14317i 0.918814 0.530478i
\(95\) 10.4514i 1.07229i
\(96\) 10.1628 + 8.15358i 1.03723 + 0.832171i
\(97\) −12.5989 + 7.27395i −1.27922 + 0.738558i −0.976705 0.214587i \(-0.931159\pi\)
−0.302515 + 0.953145i \(0.597826\pi\)
\(98\) −6.23052 11.9379i −0.629378 1.20591i
\(99\) 4.99451 + 5.44674i 0.501967 + 0.547418i
\(100\) 8.63458 14.9555i 0.863458 1.49555i
\(101\) −5.05249 8.75117i −0.502741 0.870774i −0.999995 0.00316848i \(-0.998991\pi\)
0.497254 0.867605i \(-0.334342\pi\)
\(102\) 17.6195 + 14.1361i 1.74459 + 1.39968i
\(103\) −9.15330 + 5.28466i −0.901901 + 0.520713i −0.877816 0.478997i \(-0.841000\pi\)
−0.0240846 + 0.999710i \(0.507667\pi\)
\(104\) 2.05324 0.307897i 0.201337 0.0301918i
\(105\) −1.56729 17.7703i −0.152952 1.73421i
\(106\) 4.86143 8.42024i 0.472184 0.817846i
\(107\) 2.05313i 0.198484i 0.995063 + 0.0992420i \(0.0316418\pi\)
−0.995063 + 0.0992420i \(0.968358\pi\)
\(108\) −7.92763 3.90432i −0.762837 0.375693i
\(109\) 3.15449 5.46373i 0.302145 0.523331i −0.674477 0.738296i \(-0.735631\pi\)
0.976622 + 0.214966i \(0.0689640\pi\)
\(110\) −9.22363 + 15.9758i −0.879439 + 1.52323i
\(111\) −4.42080 + 5.51017i −0.419604 + 0.523003i
\(112\) 2.84169 + 11.5865i 0.268514 + 1.09482i
\(113\) 2.80198 1.61772i 0.263588 0.152183i −0.362382 0.932030i \(-0.618037\pi\)
0.625970 + 0.779847i \(0.284703\pi\)
\(114\) −3.24366 8.33675i −0.303797 0.780809i
\(115\) 9.40401 5.42941i 0.876928 0.506295i
\(116\) 0.0594689 + 0.0343344i 0.00552155 + 0.00318787i
\(117\) −10.0949 + 3.88486i −0.933278 + 0.359155i
\(118\) 6.67098i 0.614114i
\(119\) 4.27258 + 17.4207i 0.391667 + 1.59695i
\(120\) −0.589970 + 3.83755i −0.0538567 + 0.350319i
\(121\) −2.46599 + 4.27123i −0.224181 + 0.388293i
\(122\) −3.64607 + 6.31518i −0.330100 + 0.571749i
\(123\) 2.18279 + 5.61013i 0.196815 + 0.505848i
\(124\) 0.460747 + 0.266012i 0.0413763 + 0.0238886i
\(125\) 20.0652 1.79468
\(126\) −6.76531 13.6884i −0.602702 1.21946i
\(127\) −3.42454 + 5.93148i −0.303879 + 0.526334i −0.977011 0.213188i \(-0.931615\pi\)
0.673132 + 0.739522i \(0.264949\pi\)
\(128\) 4.55508i 0.402616i
\(129\) 18.3217 + 2.81671i 1.61314 + 0.247998i
\(130\) −16.8190 21.1229i −1.47512 1.85260i
\(131\) −4.85787 8.41407i −0.424434 0.735141i 0.571934 0.820300i \(-0.306193\pi\)
−0.996367 + 0.0851592i \(0.972860\pi\)
\(132\) −1.10257 + 7.17183i −0.0959664 + 0.624228i
\(133\) 1.98408 6.82050i 0.172042 0.591412i
\(134\) −10.7843 + 6.22631i −0.931620 + 0.537871i
\(135\) −1.33353 20.1839i −0.114772 1.73715i
\(136\) 3.90390i 0.334756i
\(137\) 0.513860i 0.0439020i −0.999759 0.0219510i \(-0.993012\pi\)
0.999759 0.0219510i \(-0.00698778\pi\)
\(138\) 5.81622 7.24945i 0.495110 0.617114i
\(139\) 12.1505 7.01510i 1.03059 0.595013i 0.113438 0.993545i \(-0.463814\pi\)
0.917154 + 0.398532i \(0.130480\pi\)
\(140\) 12.6466 12.1193i 1.06883 1.02427i
\(141\) 9.15397 + 1.40730i 0.770903 + 0.118516i
\(142\) 9.82858 + 17.0236i 0.824796 + 1.42859i
\(143\) 5.53241 + 6.94814i 0.462643 + 0.581032i
\(144\) 2.93243 + 13.2055i 0.244369 + 1.10046i
\(145\) 0.157184i 0.0130534i
\(146\) 8.05755 13.9561i 0.666847 1.15501i
\(147\) 2.35070 11.8943i 0.193882 0.981025i
\(148\) −6.93637 −0.570166
\(149\) 6.04940 + 3.49262i 0.495586 + 0.286127i 0.726889 0.686755i \(-0.240965\pi\)
−0.231303 + 0.972882i \(0.574299\pi\)
\(150\) 31.5314 12.2682i 2.57453 1.00170i
\(151\) 0.186508 0.323041i 0.0151778 0.0262887i −0.858337 0.513087i \(-0.828502\pi\)
0.873515 + 0.486798i \(0.161835\pi\)
\(152\) −0.772990 + 1.33886i −0.0626977 + 0.108596i
\(153\) 4.40902 + 19.8550i 0.356448 + 1.60518i
\(154\) −9.05208 + 8.67466i −0.729437 + 0.699024i
\(155\) 1.21782i 0.0978173i
\(156\) −9.17807 5.34427i −0.734834 0.427884i
\(157\) 5.94795 + 3.43405i 0.474698 + 0.274067i 0.718204 0.695832i \(-0.244964\pi\)
−0.243506 + 0.969899i \(0.578298\pi\)
\(158\) −8.76206 + 5.05878i −0.697072 + 0.402455i
\(159\) 8.15839 3.17426i 0.647003 0.251735i
\(160\) −25.3606 + 14.6420i −2.00493 + 1.15755i
\(161\) 7.16768 1.75794i 0.564892 0.138545i
\(162\) −7.32791 15.6862i −0.575735 1.23242i
\(163\) 10.5879 18.3387i 0.829305 1.43640i −0.0692792 0.997597i \(-0.522070\pi\)
0.898584 0.438801i \(-0.144597\pi\)
\(164\) −2.95536 + 5.11884i −0.230775 + 0.399714i
\(165\) −15.4790 + 6.02256i −1.20504 + 0.468856i
\(166\) 7.37153i 0.572142i
\(167\) −0.573247 + 0.992894i −0.0443592 + 0.0768324i −0.887353 0.461092i \(-0.847458\pi\)
0.842993 + 0.537924i \(0.180791\pi\)
\(168\) −1.11352 + 2.39235i −0.0859103 + 0.184574i
\(169\) −12.4282 + 3.81313i −0.956015 + 0.293318i
\(170\) −43.9684 + 25.3851i −3.37222 + 1.94695i
\(171\) 2.41929 7.68236i 0.185008 0.587485i
\(172\) 9.10054 + 15.7626i 0.693910 + 1.20189i
\(173\) −1.27874 + 2.21483i −0.0972204 + 0.168391i −0.910533 0.413436i \(-0.864329\pi\)
0.813313 + 0.581827i \(0.197662\pi\)
\(174\) 0.0487831 + 0.125381i 0.00369824 + 0.00950509i
\(175\) 25.7966 + 7.50422i 1.95004 + 0.567266i
\(176\) 9.61924 5.55367i 0.725077 0.418624i
\(177\) −3.75870 + 4.68491i −0.282521 + 0.352140i
\(178\) 20.0072i 1.49961i
\(179\) −0.450331 + 0.259999i −0.0336593 + 0.0194332i −0.516735 0.856145i \(-0.672853\pi\)
0.483076 + 0.875578i \(0.339520\pi\)
\(180\) 14.6386 13.4232i 1.09110 1.00051i
\(181\) 18.3607i 1.36474i −0.731008 0.682369i \(-0.760950\pi\)
0.731008 0.682369i \(-0.239050\pi\)
\(182\) −6.96597 16.9775i −0.516352 1.25846i
\(183\) −6.11879 + 2.38070i −0.452314 + 0.175986i
\(184\) −1.60624 −0.118414
\(185\) −7.93876 13.7503i −0.583669 1.01094i
\(186\) 0.377957 + 0.971412i 0.0277131 + 0.0712274i
\(187\) 14.4629 8.35015i 1.05763 0.610623i
\(188\) 4.54684 + 7.87536i 0.331613 + 0.574370i
\(189\) 2.96143 13.4250i 0.215413 0.976523i
\(190\) 20.1055 1.45861
\(191\) −12.7267 7.34775i −0.920869 0.531664i −0.0369571 0.999317i \(-0.511766\pi\)
−0.883912 + 0.467653i \(0.845100\pi\)
\(192\) −5.91042 + 7.36686i −0.426548 + 0.531657i
\(193\) −9.56884 16.5737i −0.688780 1.19300i −0.972233 0.234016i \(-0.924813\pi\)
0.283452 0.958986i \(-0.408520\pi\)
\(194\) −13.9930 24.2366i −1.00464 1.74008i
\(195\) 0.0898117 24.3107i 0.00643155 1.74093i
\(196\) 10.5537 5.50812i 0.753839 0.393437i
\(197\) 2.26372 + 1.30696i 0.161283 + 0.0931168i 0.578469 0.815704i \(-0.303650\pi\)
−0.417186 + 0.908821i \(0.636984\pi\)
\(198\) −10.4780 + 9.60800i −0.744636 + 0.682811i
\(199\) 17.4164i 1.23461i 0.786722 + 0.617307i \(0.211777\pi\)
−0.786722 + 0.617307i \(0.788223\pi\)
\(200\) −5.06384 2.92361i −0.358068 0.206731i
\(201\) −11.0818 1.70367i −0.781647 0.120167i
\(202\) 16.8347 9.71953i 1.18449 0.683864i
\(203\) −0.0298397 + 0.102577i −0.00209433 + 0.00719950i
\(204\) −12.4970 + 15.5766i −0.874968 + 1.09058i
\(205\) −13.5298 −0.944961
\(206\) −10.1662 17.6083i −0.708310 1.22683i
\(207\) 8.16926 1.81407i 0.567803 0.126087i
\(208\) 2.41099 + 16.0779i 0.167172 + 1.11480i
\(209\) −6.61347 −0.457464
\(210\) 34.1850 3.01502i 2.35899 0.208056i
\(211\) 8.15117 14.1182i 0.561150 0.971940i −0.436247 0.899827i \(-0.643693\pi\)
0.997396 0.0721128i \(-0.0229742\pi\)
\(212\) 7.44395 + 4.29776i 0.511252 + 0.295172i
\(213\) −2.68934 + 17.4932i −0.184270 + 1.19861i
\(214\) −3.94964 −0.269992
\(215\) −20.8313 + 36.0809i −1.42069 + 2.46070i
\(216\) −1.32198 + 2.68424i −0.0899491 + 0.182640i
\(217\) −0.231188 + 0.794735i −0.0156941 + 0.0539501i
\(218\) 10.5106 + 6.06832i 0.711871 + 0.410999i
\(219\) 13.5221 5.26117i 0.913738 0.355517i
\(220\) −14.1235 8.15419i −0.952204 0.549755i
\(221\) 3.62501 + 24.1737i 0.243845 + 1.62610i
\(222\) −10.6000 8.50435i −0.711424 0.570775i
\(223\) −8.83787 5.10254i −0.591827 0.341692i 0.173992 0.984747i \(-0.444333\pi\)
−0.765820 + 0.643055i \(0.777667\pi\)
\(224\) −19.3297 + 4.74079i −1.29152 + 0.316757i
\(225\) 29.0563 + 9.15028i 1.93709 + 0.610019i
\(226\) 3.11203 + 5.39019i 0.207009 + 0.358550i
\(227\) 22.3044 1.48039 0.740197 0.672390i \(-0.234732\pi\)
0.740197 + 0.672390i \(0.234732\pi\)
\(228\) 7.37014 2.86757i 0.488100 0.189910i
\(229\) −17.9637 + 10.3713i −1.18707 + 0.685357i −0.957640 0.287967i \(-0.907021\pi\)
−0.229433 + 0.973324i \(0.573687\pi\)
\(230\) 10.4446 + 18.0906i 0.688697 + 1.19286i
\(231\) −11.2448 + 0.991756i −0.739851 + 0.0652528i
\(232\) 0.0116254 0.0201358i 0.000763245 0.00132198i
\(233\) −3.63812 + 2.10047i −0.238341 + 0.137606i −0.614414 0.788984i \(-0.710608\pi\)
0.376073 + 0.926590i \(0.377274\pi\)
\(234\) −7.47334 19.4198i −0.488548 1.26951i
\(235\) −10.4078 + 18.0269i −0.678931 + 1.17594i
\(236\) −5.89751 −0.383895
\(237\) −9.00376 1.38420i −0.584857 0.0899137i
\(238\) −33.5124 + 8.21922i −2.17229 + 0.532773i
\(239\) 13.3139i 0.861205i −0.902542 0.430602i \(-0.858301\pi\)
0.902542 0.430602i \(-0.141699\pi\)
\(240\) −30.0499 4.61976i −1.93972 0.298204i
\(241\) 6.35345i 0.409262i 0.978839 + 0.204631i \(0.0655994\pi\)
−0.978839 + 0.204631i \(0.934401\pi\)
\(242\) −8.21660 4.74386i −0.528183 0.304947i
\(243\) 3.69195 15.1449i 0.236839 0.971549i
\(244\) −5.58296 3.22332i −0.357412 0.206352i
\(245\) 22.9979 + 14.6171i 1.46928 + 0.933853i
\(246\) −10.7923 + 4.19905i −0.688090 + 0.267722i
\(247\) 3.54330 9.00825i 0.225455 0.573181i
\(248\) 0.0900700 0.156006i 0.00571945 0.00990638i
\(249\) 4.15342 5.17690i 0.263212 0.328073i
\(250\) 38.5996i 2.44125i
\(251\) −11.6916 20.2504i −0.737967 1.27820i −0.953409 0.301680i \(-0.902453\pi\)
0.215442 0.976517i \(-0.430881\pi\)
\(252\) 12.1013 5.98090i 0.762310 0.376762i
\(253\) −3.43563 5.95069i −0.215996 0.374117i
\(254\) −11.4105 6.58783i −0.715956 0.413357i
\(255\) −45.1812 6.94598i −2.82936 0.434974i
\(256\) 19.6685 1.22928
\(257\) −30.0326 −1.87338 −0.936692 0.350154i \(-0.886129\pi\)
−0.936692 + 0.350154i \(0.886129\pi\)
\(258\) −5.41854 + 35.2457i −0.337344 + 2.19430i
\(259\) −2.57042 10.4804i −0.159718 0.651222i
\(260\) 18.6738 14.8689i 1.15810 0.922130i
\(261\) −0.0363850 + 0.115539i −0.00225218 + 0.00715169i
\(262\) 16.1862 9.34513i 0.999989 0.577344i
\(263\) 9.55188 5.51478i 0.588994 0.340056i −0.175705 0.984443i \(-0.556221\pi\)
0.764700 + 0.644387i \(0.222887\pi\)
\(264\) 2.42834 + 0.373323i 0.149454 + 0.0229764i
\(265\) 19.6754i 1.20865i
\(266\) 13.1207 + 3.81680i 0.804480 + 0.234023i
\(267\) −11.2729 + 14.0507i −0.689889 + 0.859891i
\(268\) −5.50439 9.53389i −0.336234 0.582375i
\(269\) 16.0539 0.978822 0.489411 0.872053i \(-0.337212\pi\)
0.489411 + 0.872053i \(0.337212\pi\)
\(270\) 38.8280 2.56532i 2.36299 0.156121i
\(271\) 4.72307i 0.286906i 0.989657 + 0.143453i \(0.0458206\pi\)
−0.989657 + 0.143453i \(0.954179\pi\)
\(272\) 30.5695 1.85355
\(273\) 4.67373 15.8479i 0.282867 0.959159i
\(274\) 0.988518 0.0597185
\(275\) 25.0136i 1.50837i
\(276\) 6.40891 + 5.14186i 0.385771 + 0.309503i
\(277\) 27.2372 1.63652 0.818262 0.574846i \(-0.194938\pi\)
0.818262 + 0.574846i \(0.194938\pi\)
\(278\) 13.4950 + 23.3741i 0.809378 + 1.40188i
\(279\) −0.281900 + 0.895161i −0.0168769 + 0.0535919i
\(280\) −4.10351 4.28204i −0.245231 0.255901i
\(281\) 20.8431i 1.24340i 0.783257 + 0.621698i \(0.213557\pi\)
−0.783257 + 0.621698i \(0.786443\pi\)
\(282\) −2.70723 + 17.6096i −0.161213 + 1.04864i
\(283\) −23.0214 + 13.2914i −1.36848 + 0.790092i −0.990734 0.135817i \(-0.956634\pi\)
−0.377746 + 0.925909i \(0.623301\pi\)
\(284\) −15.0498 + 8.68900i −0.893040 + 0.515597i
\(285\) 14.1197 + 11.3282i 0.836381 + 0.671027i
\(286\) −13.3662 + 10.6428i −0.790361 + 0.629320i
\(287\) −8.82941 2.56848i −0.521184 0.151612i
\(288\) −22.0308 + 4.89217i −1.29818 + 0.288274i
\(289\) 28.9623 1.70367
\(290\) −0.302377 −0.0177562
\(291\) 3.82882 24.9051i 0.224449 1.45996i
\(292\) 12.3379 + 7.12331i 0.722023 + 0.416860i
\(293\) −6.73449 11.6645i −0.393433 0.681447i 0.599466 0.800400i \(-0.295379\pi\)
−0.992900 + 0.118953i \(0.962046\pi\)
\(294\) 22.8812 + 4.52206i 1.33446 + 0.263732i
\(295\) −6.74977 11.6909i −0.392987 0.680673i
\(296\) 2.34861i 0.136510i
\(297\) −12.7720 + 0.843834i −0.741107 + 0.0489642i
\(298\) −6.71880 + 11.6373i −0.389210 + 0.674131i
\(299\) 9.94618 1.49150i 0.575203 0.0862555i
\(300\) 10.8458 + 27.8754i 0.626181 + 1.60939i
\(301\) −20.4439 + 19.5915i −1.17837 + 1.12924i
\(302\) 0.621438 + 0.358787i 0.0357597 + 0.0206459i
\(303\) 17.2991 + 2.65950i 0.993807 + 0.152784i
\(304\) −10.4839 6.05290i −0.601294 0.347157i
\(305\) 14.7565i 0.844955i
\(306\) −38.1953 + 8.48168i −2.18348 + 0.484865i
\(307\) 6.38950i 0.364668i 0.983237 + 0.182334i \(0.0583652\pi\)
−0.983237 + 0.182334i \(0.941635\pi\)
\(308\) −7.66887 8.00253i −0.436974 0.455986i
\(309\) 2.78170 18.0940i 0.158246 1.02933i
\(310\) −2.34273 −0.133058
\(311\) −1.05495 + 1.82722i −0.0598207 + 0.103612i −0.894385 0.447298i \(-0.852386\pi\)
0.834564 + 0.550911i \(0.185720\pi\)
\(312\) −1.80953 + 3.10763i −0.102445 + 0.175935i
\(313\) 9.75726 5.63336i 0.551513 0.318416i −0.198219 0.980158i \(-0.563516\pi\)
0.749732 + 0.661742i \(0.230182\pi\)
\(314\) −6.60612 + 11.4421i −0.372805 + 0.645717i
\(315\) 25.7063 + 17.1438i 1.44839 + 0.965944i
\(316\) −4.47224 7.74614i −0.251583 0.435754i
\(317\) 6.32048 3.64913i 0.354993 0.204955i −0.311889 0.950119i \(-0.600962\pi\)
0.666882 + 0.745163i \(0.267628\pi\)
\(318\) 6.10637 + 15.6944i 0.342428 + 0.880098i
\(319\) 0.0994635 0.00556889
\(320\) −10.6138 18.3836i −0.593327 1.02767i
\(321\) −2.77376 2.22538i −0.154816 0.124209i
\(322\) 3.38176 + 13.7885i 0.188458 + 0.768406i
\(323\) −15.7630 9.10075i −0.877075 0.506379i
\(324\) 13.8674 6.47827i 0.770412 0.359904i
\(325\) 34.0711 + 13.4015i 1.88993 + 0.743382i
\(326\) 35.2784 + 20.3680i 1.95389 + 1.12808i
\(327\) 3.96230 + 10.1838i 0.219116 + 0.563165i
\(328\) 1.73321 + 1.00067i 0.0957003 + 0.0552526i
\(329\) −10.2142 + 9.78837i −0.563130 + 0.539650i
\(330\) −11.5857 29.7771i −0.637770 1.63918i
\(331\) 2.80319 4.85527i 0.154077 0.266870i −0.778645 0.627464i \(-0.784093\pi\)
0.932723 + 0.360594i \(0.117426\pi\)
\(332\) 6.51684 0.357658
\(333\) −2.65249 11.9449i −0.145356 0.654577i
\(334\) −1.91004 1.10276i −0.104513 0.0603405i
\(335\) 12.5997 21.8233i 0.688394 1.19233i
\(336\) −18.7333 8.71946i −1.02199 0.475685i
\(337\) −10.8569 −0.591412 −0.295706 0.955279i \(-0.595555\pi\)
−0.295706 + 0.955279i \(0.595555\pi\)
\(338\) −7.33536 23.9083i −0.398991 1.30044i
\(339\) −0.851526 + 5.53888i −0.0462486 + 0.300831i
\(340\) −22.4418 38.8704i −1.21708 2.10804i
\(341\) 0.770613 0.0417310
\(342\) 14.7787 + 4.65402i 0.799138 + 0.251661i
\(343\) 12.2333 + 13.9049i 0.660537 + 0.750793i
\(344\) 5.33711 3.08138i 0.287758 0.166137i
\(345\) −2.85790 + 18.5896i −0.153864 + 1.00083i
\(346\) −4.26070 2.45992i −0.229057 0.132246i
\(347\) 7.24014i 0.388671i 0.980935 + 0.194336i \(0.0622551\pi\)
−0.980935 + 0.194336i \(0.937745\pi\)
\(348\) −0.110843 + 0.0431269i −0.00594183 + 0.00231185i
\(349\) −0.167850 0.0969083i −0.00898481 0.00518738i 0.495501 0.868607i \(-0.334985\pi\)
−0.504486 + 0.863420i \(0.668318\pi\)
\(350\) −14.4360 + 49.6251i −0.771634 + 2.65258i
\(351\) 5.69347 17.8489i 0.303895 0.952706i
\(352\) 9.26519 + 16.0478i 0.493836 + 0.855349i
\(353\) −11.7055 20.2745i −0.623020 1.07910i −0.988920 0.148448i \(-0.952572\pi\)
0.365900 0.930654i \(-0.380761\pi\)
\(354\) −9.01242 7.23065i −0.479005 0.384305i
\(355\) −34.4493 19.8893i −1.82838 1.05561i
\(356\) −17.6875 −0.937435
\(357\) −28.1662 13.1100i −1.49071 0.693856i
\(358\) −0.500162 0.866306i −0.0264344 0.0457857i
\(359\) 16.1261 9.31040i 0.851102 0.491384i −0.00992062 0.999951i \(-0.503158\pi\)
0.861022 + 0.508567i \(0.169825\pi\)
\(360\) −4.54502 4.95655i −0.239544 0.261233i
\(361\) −5.89602 10.2122i −0.310317 0.537484i
\(362\) 35.3206 1.85641
\(363\) −3.09750 7.96109i −0.162576 0.417849i
\(364\) 15.0090 6.15829i 0.786687 0.322782i
\(365\) 32.6108i 1.70693i
\(366\) −4.57977 11.7708i −0.239389 0.615269i
\(367\) −9.93291 + 5.73477i −0.518494 + 0.299352i −0.736318 0.676636i \(-0.763437\pi\)
0.217825 + 0.975988i \(0.430104\pi\)
\(368\) 12.5777i 0.655657i
\(369\) −9.94513 3.13188i −0.517723 0.163039i
\(370\) 26.4517 15.2719i 1.37516 0.793947i
\(371\) −3.73514 + 12.8400i −0.193919 + 0.666617i
\(372\) −0.858781 + 0.334134i −0.0445257 + 0.0173240i
\(373\) 1.27641 2.21081i 0.0660901 0.114471i −0.831087 0.556143i \(-0.812281\pi\)
0.897177 + 0.441671i \(0.145614\pi\)
\(374\) 16.0633 + 27.8224i 0.830612 + 1.43866i
\(375\) −21.7486 + 27.1078i −1.12309 + 1.39984i
\(376\) 2.66655 1.53953i 0.137517 0.0793953i
\(377\) −0.0532895 + 0.135480i −0.00274455 + 0.00697756i
\(378\) 25.8258 + 5.69694i 1.32833 + 0.293019i
\(379\) 1.47736 2.55887i 0.0758871 0.131440i −0.825585 0.564278i \(-0.809154\pi\)
0.901472 + 0.432838i \(0.142488\pi\)
\(380\) 17.7744i 0.911805i
\(381\) −4.30152 11.0556i −0.220373 0.566397i
\(382\) 14.1349 24.4824i 0.723206 1.25263i
\(383\) 0.329768 0.571174i 0.0168503 0.0291856i −0.857477 0.514522i \(-0.827969\pi\)
0.874328 + 0.485336i \(0.161303\pi\)
\(384\) 6.15386 + 4.93723i 0.314038 + 0.251952i
\(385\) 7.08672 24.3614i 0.361173 1.24157i
\(386\) 31.8831 18.4077i 1.62280 0.936927i
\(387\) −23.6642 + 21.6994i −1.20292 + 1.10304i
\(388\) 21.4264 12.3706i 1.08776 0.628020i
\(389\) −32.6087 18.8266i −1.65333 0.954548i −0.975691 0.219150i \(-0.929672\pi\)
−0.677635 0.735398i \(-0.736995\pi\)
\(390\) 46.7668 + 0.172772i 2.36813 + 0.00874864i
\(391\) 18.9110i 0.956371i
\(392\) −1.86501 3.57343i −0.0941974 0.180485i
\(393\) 16.6327 + 2.55705i 0.839010 + 0.128986i
\(394\) −2.51421 + 4.35473i −0.126664 + 0.219388i
\(395\) 10.2370 17.7311i 0.515082 0.892147i
\(396\) −8.49399 9.26308i −0.426839 0.465487i
\(397\) −21.9221 12.6568i −1.10024 0.635224i −0.163957 0.986468i \(-0.552426\pi\)
−0.936284 + 0.351243i \(0.885759\pi\)
\(398\) −33.5041 −1.67941
\(399\) 7.06388 + 10.0732i 0.353636 + 0.504290i
\(400\) 22.8933 39.6524i 1.14467 1.98262i
\(401\) 1.42437i 0.0711298i 0.999367 + 0.0355649i \(0.0113230\pi\)
−0.999367 + 0.0355649i \(0.988677\pi\)
\(402\) 3.27736 21.3181i 0.163460 1.06325i
\(403\) −0.412871 + 1.04966i −0.0205666 + 0.0522871i
\(404\) 8.59259 + 14.8828i 0.427497 + 0.740447i
\(405\) 28.7136 + 20.0756i 1.42679 + 0.997567i
\(406\) −0.197329 0.0574029i −0.00979325 0.00284886i
\(407\) −8.70097 + 5.02351i −0.431291 + 0.249006i
\(408\) 5.27412 + 4.23142i 0.261108 + 0.209486i
\(409\) 19.3410i 0.956350i −0.878265 0.478175i \(-0.841299\pi\)
0.878265 0.478175i \(-0.158701\pi\)
\(410\) 26.0274i 1.28540i
\(411\) 0.694219 + 0.556970i 0.0342433 + 0.0274733i
\(412\) 15.5667 8.98743i 0.766916 0.442779i
\(413\) −2.18544 8.91076i −0.107539 0.438470i
\(414\) 3.48975 + 15.7153i 0.171512 + 0.772365i
\(415\) 7.45859 + 12.9187i 0.366128 + 0.634152i
\(416\) −26.8228 + 4.02225i −1.31509 + 0.197207i
\(417\) −3.69256 + 24.0188i −0.180826 + 1.17621i
\(418\) 12.7224i 0.622274i
\(419\) −14.6459 + 25.3674i −0.715498 + 1.23928i 0.247269 + 0.968947i \(0.420467\pi\)
−0.962767 + 0.270332i \(0.912867\pi\)
\(420\) 2.66544 + 30.2214i 0.130060 + 1.47465i
\(421\) 8.70488 0.424250 0.212125 0.977243i \(-0.431962\pi\)
0.212125 + 0.977243i \(0.431962\pi\)
\(422\) 27.1594 + 15.6805i 1.32210 + 0.763315i
\(423\) −11.8232 + 10.8415i −0.574863 + 0.527134i
\(424\) 1.45519 2.52047i 0.0706705 0.122405i
\(425\) 34.4210 59.6189i 1.66966 2.89194i
\(426\) −33.6518 5.17350i −1.63044 0.250657i
\(427\) 2.80136 9.62996i 0.135567 0.466027i
\(428\) 3.49169i 0.168777i
\(429\) −15.3834 0.0568313i −0.742718 0.00274384i
\(430\) −69.4093 40.0735i −3.34721 1.93252i
\(431\) 15.8265 9.13741i 0.762334 0.440134i −0.0677991 0.997699i \(-0.521598\pi\)
0.830133 + 0.557565i \(0.188264\pi\)
\(432\) −21.0190 10.3517i −1.01128 0.498048i
\(433\) 23.8339 13.7605i 1.14538 0.661288i 0.197626 0.980277i \(-0.436677\pi\)
0.947758 + 0.318989i \(0.103343\pi\)
\(434\) −1.52884 0.444740i −0.0733867 0.0213482i
\(435\) −0.212354 0.170371i −0.0101816 0.00816868i
\(436\) −5.36473 + 9.29198i −0.256924 + 0.445005i
\(437\) −3.74447 + 6.48561i −0.179122 + 0.310249i
\(438\) 10.1210 + 26.0126i 0.483599 + 1.24293i
\(439\) 21.3193i 1.01751i 0.860910 + 0.508757i \(0.169895\pi\)
−0.860910 + 0.508757i \(0.830105\pi\)
\(440\) −2.76095 + 4.78211i −0.131623 + 0.227978i
\(441\) 13.5211 + 16.0679i 0.643864 + 0.765140i
\(442\) −46.5033 + 6.97348i −2.21194 + 0.331695i
\(443\) 0.566745 0.327210i 0.0269269 0.0155462i −0.486476 0.873694i \(-0.661718\pi\)
0.513403 + 0.858148i \(0.328385\pi\)
\(444\) 7.51831 9.37096i 0.356803 0.444726i
\(445\) −20.2435 35.0628i −0.959635 1.66214i
\(446\) 9.81582 17.0015i 0.464793 0.805045i
\(447\) −11.2754 + 4.38703i −0.533309 + 0.207500i
\(448\) −3.43653 14.0119i −0.162361 0.661998i
\(449\) −3.39963 + 1.96278i −0.160438 + 0.0926292i −0.578070 0.815987i \(-0.696194\pi\)
0.417631 + 0.908617i \(0.362860\pi\)
\(450\) −17.6025 + 55.8960i −0.829790 + 2.63496i
\(451\) 8.56141i 0.403141i
\(452\) −4.76522 + 2.75120i −0.224137 + 0.129406i
\(453\) 0.234270 + 0.602113i 0.0110070 + 0.0282897i
\(454\) 42.9072i 2.01373i
\(455\) 29.3859 + 22.7049i 1.37763 + 1.06442i
\(456\) −0.970941 2.49548i −0.0454685 0.116862i
\(457\) 22.5987 1.05712 0.528561 0.848895i \(-0.322732\pi\)
0.528561 + 0.848895i \(0.322732\pi\)
\(458\) −19.9515 34.5569i −0.932271 1.61474i
\(459\) −31.6028 15.5642i −1.47509 0.726476i
\(460\) −15.9931 + 9.23360i −0.745681 + 0.430519i
\(461\) −7.66032 13.2681i −0.356777 0.617955i 0.630644 0.776073i \(-0.282791\pi\)
−0.987420 + 0.158117i \(0.949458\pi\)
\(462\) −1.90785 21.6317i −0.0887613 1.00640i
\(463\) −24.3265 −1.13055 −0.565273 0.824904i \(-0.691229\pi\)
−0.565273 + 0.824904i \(0.691229\pi\)
\(464\) 0.157673 + 0.0910327i 0.00731979 + 0.00422609i
\(465\) −1.64525 1.31998i −0.0762969 0.0612128i
\(466\) −4.04070 6.99869i −0.187182 0.324208i
\(467\) 11.3722 + 19.6972i 0.526242 + 0.911478i 0.999533 + 0.0305714i \(0.00973268\pi\)
−0.473291 + 0.880906i \(0.656934\pi\)
\(468\) 17.1681 6.60684i 0.793596 0.305401i
\(469\) 12.3653 11.8498i 0.570978 0.547171i
\(470\) −34.6785 20.0216i −1.59960 0.923530i
\(471\) −11.0863 + 4.31346i −0.510831 + 0.198754i
\(472\) 1.99686i 0.0919129i
\(473\) 22.8314 + 13.1817i 1.04979 + 0.606096i
\(474\) 2.66281 17.3206i 0.122307 0.795563i
\(475\) −23.6096 + 13.6310i −1.08328 + 0.625435i
\(476\) −7.26623 29.6268i −0.333047 1.35794i
\(477\) −4.55445 + 14.4625i −0.208534 + 0.662191i
\(478\) 25.6121 1.17147
\(479\) 1.58009 + 2.73680i 0.0721963 + 0.125048i 0.899864 0.436171i \(-0.143666\pi\)
−0.827667 + 0.561219i \(0.810333\pi\)
\(480\) 7.70715 50.1323i 0.351782 2.28822i
\(481\) −2.18083 14.5431i −0.0994374 0.663107i
\(482\) −12.2222 −0.556706
\(483\) −5.39407 + 11.5889i −0.245438 + 0.527312i
\(484\) 4.19383 7.26392i 0.190629 0.330178i
\(485\) 49.0456 + 28.3165i 2.22704 + 1.28578i
\(486\) 29.1345 + 7.10225i 1.32157 + 0.322164i
\(487\) 17.9962 0.815487 0.407744 0.913096i \(-0.366316\pi\)
0.407744 + 0.913096i \(0.366316\pi\)
\(488\) −1.09140 + 1.89035i −0.0494052 + 0.0855723i
\(489\) 13.2993 + 34.1813i 0.601413 + 1.54573i
\(490\) −28.1191 + 44.2413i −1.27029 + 1.99862i
\(491\) 13.0532 + 7.53626i 0.589082 + 0.340107i 0.764734 0.644346i \(-0.222870\pi\)
−0.175652 + 0.984452i \(0.556204\pi\)
\(492\) −3.71219 9.54095i −0.167358 0.430139i
\(493\) 0.237067 + 0.136871i 0.0106770 + 0.00616436i
\(494\) 17.3293 + 6.81628i 0.779681 + 0.306679i
\(495\) 8.64120 27.4398i 0.388393 1.23333i
\(496\) 1.22160 + 0.705293i 0.0548516 + 0.0316686i
\(497\) −18.7055 19.5194i −0.839057 0.875564i
\(498\) 9.95886 + 7.98997i 0.446267 + 0.358039i
\(499\) −4.60936 7.98365i −0.206343 0.357397i 0.744217 0.667938i \(-0.232823\pi\)
−0.950560 + 0.310541i \(0.899490\pi\)
\(500\) −34.1241 −1.52608
\(501\) −0.720048 1.85064i −0.0321694 0.0826807i
\(502\) 38.9560 22.4913i 1.73869 1.00383i
\(503\) 15.5587 + 26.9484i 0.693727 + 1.20157i 0.970608 + 0.240667i \(0.0773661\pi\)
−0.276880 + 0.960904i \(0.589301\pi\)
\(504\) −2.02509 4.09742i −0.0902049 0.182514i
\(505\) −19.6686 + 34.0671i −0.875243 + 1.51596i
\(506\) 11.4474 6.60917i 0.508900 0.293813i
\(507\) 8.31937 20.9234i 0.369476 0.929240i
\(508\) 5.82400 10.0875i 0.258398 0.447559i
\(509\) 10.4217 0.461932 0.230966 0.972962i \(-0.425811\pi\)
0.230966 + 0.972962i \(0.425811\pi\)
\(510\) 13.3621 86.9156i 0.591682 3.84869i
\(511\) −6.19079 + 21.2815i −0.273865 + 0.941439i
\(512\) 28.7264i 1.26954i
\(513\) 7.75652 + 11.5953i 0.342459 + 0.511946i
\(514\) 57.7741i 2.54831i
\(515\) 35.6325 + 20.5724i 1.57016 + 0.906530i
\(516\) −31.1591 4.79029i −1.37170 0.210881i
\(517\) 11.4071 + 6.58589i 0.501683 + 0.289647i
\(518\) 20.1613 4.94474i 0.885837 0.217259i
\(519\) −1.60620 4.12821i −0.0705044 0.181208i
\(520\) −5.03451 6.32282i −0.220778 0.277274i
\(521\) −15.2064 + 26.3382i −0.666204 + 1.15390i 0.312753 + 0.949834i \(0.398749\pi\)
−0.978957 + 0.204065i \(0.934585\pi\)
\(522\) −0.222264 0.0699943i −0.00972822 0.00306357i
\(523\) 41.3501i 1.80811i 0.427414 + 0.904056i \(0.359425\pi\)
−0.427414 + 0.904056i \(0.640575\pi\)
\(524\) 8.26160 + 14.3095i 0.360910 + 0.625114i
\(525\) −38.0989 + 26.7171i −1.66277 + 1.16603i
\(526\) 10.6089 + 18.3751i 0.462568 + 0.801191i
\(527\) 1.83673 + 1.06043i 0.0800090 + 0.0461932i
\(528\) −2.92331 + 19.0151i −0.127221 + 0.827525i
\(529\) 15.2191 0.661702
\(530\) −37.8497 −1.64409
\(531\) −2.25523 10.1559i −0.0978686 0.440729i
\(532\) −3.37426 + 11.5994i −0.146293 + 0.502897i
\(533\) −11.6616 4.58695i −0.505118 0.198683i
\(534\) −27.0296 21.6858i −1.16968 0.938435i
\(535\) 6.92176 3.99628i 0.299254 0.172774i
\(536\) −3.22811 + 1.86375i −0.139433 + 0.0805018i
\(537\) 0.136856 0.890203i 0.00590579 0.0384151i
\(538\) 30.8830i 1.33146i
\(539\) 9.24946 14.5527i 0.398402 0.626828i
\(540\) 2.26789 + 34.3260i 0.0975943 + 1.47716i
\(541\) 1.93305 + 3.34815i 0.0831084 + 0.143948i 0.904584 0.426296i \(-0.140182\pi\)
−0.821475 + 0.570244i \(0.806849\pi\)
\(542\) −9.08582 −0.390269
\(543\) 24.8050 + 19.9010i 1.06449 + 0.854036i
\(544\) 50.9990i 2.18657i
\(545\) −24.5599 −1.05203
\(546\) 30.4868 + 8.99090i 1.30471 + 0.384775i
\(547\) 13.6568 0.583921 0.291961 0.956430i \(-0.405692\pi\)
0.291961 + 0.956430i \(0.405692\pi\)
\(548\) 0.873903i 0.0373313i
\(549\) 3.41584 10.8468i 0.145784 0.462932i
\(550\) 48.1189 2.05180
\(551\) −0.0542022 0.0938809i −0.00230909 0.00399946i
\(552\) 1.74100 2.17001i 0.0741018 0.0923620i
\(553\) 10.0466 9.62775i 0.427227 0.409414i
\(554\) 52.3965i 2.22611i
\(555\) 27.1813 + 4.17875i 1.15378 + 0.177378i
\(556\) −20.6639 + 11.9303i −0.876347 + 0.505959i
\(557\) 2.90085 1.67481i 0.122913 0.0709638i −0.437283 0.899324i \(-0.644059\pi\)
0.560196 + 0.828360i \(0.310726\pi\)
\(558\) −1.72203 0.542294i −0.0728994 0.0229571i
\(559\) −30.1873 + 24.0364i −1.27678 + 1.01663i
\(560\) 33.5306 32.1325i 1.41692 1.35785i
\(561\) −4.39530 + 28.5899i −0.185570 + 1.20707i
\(562\) −40.0961 −1.69135
\(563\) 31.7560 1.33835 0.669177 0.743103i \(-0.266647\pi\)
0.669177 + 0.743103i \(0.266647\pi\)
\(564\) −15.5678 2.39334i −0.655524 0.100778i
\(565\) −10.9077 6.29756i −0.458890 0.264941i
\(566\) −25.5688 44.2865i −1.07474 1.86150i
\(567\) 14.9271 + 18.5521i 0.626879 + 0.779116i
\(568\) 2.94204 + 5.09576i 0.123445 + 0.213813i
\(569\) 32.7269i 1.37198i 0.727609 + 0.685992i \(0.240631\pi\)
−0.727609 + 0.685992i \(0.759369\pi\)
\(570\) −21.7923 + 27.1623i −0.912778 + 1.13770i
\(571\) −14.5026 + 25.1193i −0.606916 + 1.05121i 0.384829 + 0.922988i \(0.374260\pi\)
−0.991746 + 0.128222i \(0.959073\pi\)
\(572\) −9.40878 11.8165i −0.393401 0.494071i
\(573\) 23.7211 9.22939i 0.990963 0.385563i
\(574\) 4.94101 16.9852i 0.206234 0.708950i
\(575\) −24.5299 14.1624i −1.02297 0.590612i
\(576\) −3.54627 15.9698i −0.147761 0.665409i
\(577\) −30.6663 17.7052i −1.27665 0.737077i −0.300422 0.953806i \(-0.597128\pi\)
−0.976232 + 0.216730i \(0.930461\pi\)
\(578\) 55.7151i 2.31744i
\(579\) 32.7625 + 5.03679i 1.36156 + 0.209322i
\(580\) 0.267318i 0.0110998i
\(581\) 2.41495 + 9.84652i 0.100189 + 0.408503i
\(582\) 47.9102 + 7.36554i 1.98594 + 0.305311i
\(583\) 12.4502 0.515636
\(584\) 2.41191 4.17754i 0.0998054 0.172868i
\(585\) 32.7462 + 26.4716i 1.35389 + 1.09447i
\(586\) 22.4391 12.9552i 0.926951 0.535175i
\(587\) −5.28149 + 9.14781i −0.217991 + 0.377571i −0.954194 0.299190i \(-0.903284\pi\)
0.736203 + 0.676761i \(0.236617\pi\)
\(588\) −3.99775 + 20.2282i −0.164864 + 0.834197i
\(589\) −0.419942 0.727361i −0.0173034 0.0299704i
\(590\) 22.4900 12.9846i 0.925898 0.534567i
\(591\) −4.21931 + 1.64165i −0.173559 + 0.0675284i
\(592\) −18.3908 −0.755857
\(593\) −15.7312 27.2473i −0.646004 1.11891i −0.984069 0.177788i \(-0.943106\pi\)
0.338065 0.941123i \(-0.390228\pi\)
\(594\) −1.62329 24.5697i −0.0666045 1.00811i
\(595\) 50.4144 48.3124i 2.06679 1.98062i
\(596\) −10.2880 5.93978i −0.421413 0.243303i
\(597\) −23.5293 18.8775i −0.962992 0.772606i
\(598\) 2.86921 + 19.1336i 0.117331 + 0.782430i
\(599\) −18.4692 10.6632i −0.754630 0.435686i 0.0727345 0.997351i \(-0.476827\pi\)
−0.827364 + 0.561666i \(0.810161\pi\)
\(600\) 9.43844 3.67230i 0.385323 0.149921i
\(601\) −6.36357 3.67401i −0.259575 0.149866i 0.364565 0.931178i \(-0.381218\pi\)
−0.624141 + 0.781312i \(0.714551\pi\)
\(602\) −37.6884 39.3282i −1.53606 1.60290i
\(603\) 14.3131 13.1247i 0.582875 0.534481i
\(604\) −0.317187 + 0.549385i −0.0129062 + 0.0223541i
\(605\) 19.1995 0.780572
\(606\) −5.11611 + 33.2785i −0.207828 + 1.35185i
\(607\) −0.256229 0.147934i −0.0104000 0.00600445i 0.494791 0.869012i \(-0.335245\pi\)
−0.505191 + 0.863008i \(0.668578\pi\)
\(608\) 10.0980 17.4903i 0.409530 0.709326i
\(609\) −0.106237 0.151496i −0.00430495 0.00613892i
\(610\) 28.3873 1.14937
\(611\) −15.0823 + 12.0092i −0.610163 + 0.485838i
\(612\) −7.49826 33.7667i −0.303099 1.36494i
\(613\) −21.1190 36.5791i −0.852987 1.47742i −0.878500 0.477743i \(-0.841455\pi\)
0.0255123 0.999675i \(-0.491878\pi\)
\(614\) −12.2915 −0.496047
\(615\) 14.6649 18.2786i 0.591345 0.737064i
\(616\) −2.70960 + 2.59663i −0.109173 + 0.104621i
\(617\) −38.0080 + 21.9440i −1.53015 + 0.883430i −0.530792 + 0.847502i \(0.678105\pi\)
−0.999354 + 0.0359283i \(0.988561\pi\)
\(618\) 34.8077 + 5.35120i 1.40017 + 0.215257i
\(619\) 31.5917 + 18.2395i 1.26978 + 0.733106i 0.974946 0.222444i \(-0.0714033\pi\)
0.294831 + 0.955549i \(0.404737\pi\)
\(620\) 2.07110i 0.0831772i
\(621\) −6.40384 + 13.0028i −0.256977 + 0.521786i
\(622\) −3.51505 2.02942i −0.140941 0.0813722i
\(623\) −6.55446 26.7247i −0.262599 1.07070i
\(624\) −24.3343 14.1696i −0.974153 0.567236i
\(625\) −13.6696 23.6764i −0.546782 0.947055i
\(626\) 10.8370 + 18.7702i 0.433132 + 0.750206i
\(627\) 7.16832 8.93473i 0.286275 0.356819i
\(628\) −10.1155 5.84017i −0.403651 0.233048i
\(629\) −27.6512 −1.10253
\(630\) −32.9797 + 49.4515i −1.31394 + 1.97020i
\(631\) 7.77964 + 13.4747i 0.309703 + 0.536421i 0.978297 0.207206i \(-0.0664371\pi\)
−0.668595 + 0.743627i \(0.733104\pi\)
\(632\) −2.62279 + 1.51427i −0.104329 + 0.0602344i
\(633\) 10.2386 + 26.3148i 0.406946 + 1.04592i
\(634\) 7.01987 + 12.1588i 0.278795 + 0.482886i
\(635\) 26.6625 1.05807
\(636\) −13.8747 + 5.39836i −0.550167 + 0.214059i
\(637\) 14.8667 + 20.3956i 0.589040 + 0.808104i
\(638\) 0.191339i 0.00757519i
\(639\) −20.7181 22.5940i −0.819597 0.893807i
\(640\) −15.3566 + 8.86614i −0.607023 + 0.350465i
\(641\) 13.6867i 0.540591i −0.962777 0.270296i \(-0.912879\pi\)
0.962777 0.270296i \(-0.0871214\pi\)
\(642\) 4.28099 5.33591i 0.168957 0.210592i
\(643\) −22.7642 + 13.1429i −0.897731 + 0.518305i −0.876463 0.481468i \(-0.840104\pi\)
−0.0212680 + 0.999774i \(0.506770\pi\)
\(644\) −12.1898 + 2.98966i −0.480346 + 0.117809i
\(645\) −26.1659 67.2509i −1.03028 2.64800i
\(646\) 17.5072 30.3234i 0.688812 1.19306i
\(647\) −14.0376 24.3138i −0.551875 0.955876i −0.998139 0.0609744i \(-0.980579\pi\)
0.446264 0.894901i \(-0.352754\pi\)
\(648\) −2.19350 4.69542i −0.0861687 0.184453i
\(649\) −7.39782 + 4.27113i −0.290390 + 0.167657i
\(650\) −25.7806 + 65.5430i −1.01120 + 2.57081i
\(651\) −0.823094 1.17374i −0.0322596 0.0460026i
\(652\) −18.0064 + 31.1880i −0.705185 + 1.22142i
\(653\) 34.2809i 1.34152i −0.741677 0.670758i \(-0.765969\pi\)
0.741677 0.670758i \(-0.234031\pi\)
\(654\) −19.5907 + 7.62233i −0.766056 + 0.298057i
\(655\) −18.9110 + 32.7548i −0.738913 + 1.27984i
\(656\) −7.83572 + 13.5719i −0.305934 + 0.529892i
\(657\) −7.54875 + 23.9707i −0.294505 + 0.935188i
\(658\) −18.8300 19.6493i −0.734070 0.766008i
\(659\) −26.0683 + 15.0505i −1.01548 + 0.586285i −0.912790 0.408428i \(-0.866077\pi\)
−0.102686 + 0.994714i \(0.532744\pi\)
\(660\) 26.3246 10.2424i 1.02468 0.398683i
\(661\) −1.37165 + 0.791923i −0.0533510 + 0.0308022i −0.526438 0.850213i \(-0.676473\pi\)
0.473087 + 0.881016i \(0.343140\pi\)
\(662\) 9.34014 + 5.39253i 0.363015 + 0.209587i
\(663\) −36.5876 21.3045i −1.42094 0.827396i
\(664\) 2.20656i 0.0856311i
\(665\) −26.8559 + 6.58665i −1.04143 + 0.255419i
\(666\) 22.9786 5.10263i 0.890401 0.197723i
\(667\) 0.0563150 0.0975404i 0.00218053 0.00377678i
\(668\) 0.974902 1.68858i 0.0377201 0.0653331i
\(669\) 16.4728 6.40923i 0.636875 0.247795i
\(670\) 41.9817 + 24.2381i 1.62189 + 0.936401i
\(671\) −9.33766 −0.360477
\(672\) 14.5467 31.2528i 0.561150 1.20560i
\(673\) −2.48654 + 4.30681i −0.0958490 + 0.166015i −0.909963 0.414690i \(-0.863890\pi\)
0.814114 + 0.580706i \(0.197223\pi\)
\(674\) 20.8855i 0.804479i
\(675\) −43.8560 + 29.3368i −1.68802 + 1.12917i
\(676\) 21.1362 6.48485i 0.812931 0.249417i
\(677\) −12.4232 21.5177i −0.477463 0.826991i 0.522203 0.852821i \(-0.325110\pi\)
−0.999666 + 0.0258306i \(0.991777\pi\)
\(678\) −10.6552 1.63809i −0.409211 0.0629105i
\(679\) 26.6311 + 27.7898i 1.02201 + 1.06647i
\(680\) −13.1613 + 7.59866i −0.504711 + 0.291395i
\(681\) −24.1756 + 30.1330i −0.926412 + 1.15470i
\(682\) 1.48244i 0.0567654i
\(683\) 35.7624i 1.36841i −0.729290 0.684205i \(-0.760149\pi\)
0.729290 0.684205i \(-0.239851\pi\)
\(684\) −4.11441 + 13.0651i −0.157318 + 0.499558i
\(685\) −1.73238 + 1.00019i −0.0661909 + 0.0382154i
\(686\) −26.7490 + 23.5334i −1.02128 + 0.898509i
\(687\) 5.45920 35.5102i 0.208281 1.35480i
\(688\) 24.1288 + 41.7923i 0.919901 + 1.59332i
\(689\) −6.67045 + 16.9585i −0.254124 + 0.646068i
\(690\) −35.7611 5.49777i −1.36140 0.209296i
\(691\) 13.8858i 0.528240i −0.964490 0.264120i \(-0.914918\pi\)
0.964490 0.264120i \(-0.0850816\pi\)
\(692\) 2.17470 3.76669i 0.0826697 0.143188i
\(693\) 10.8483 16.2665i 0.412093 0.617914i
\(694\) −13.9279 −0.528698
\(695\) −47.3002 27.3088i −1.79420 1.03588i
\(696\) 0.0146025 + 0.0375309i 0.000553506 + 0.00142260i
\(697\) −11.7813 + 20.4058i −0.446248 + 0.772925i
\(698\) 0.186424 0.322895i 0.00705624 0.0122218i
\(699\) 1.10563 7.19175i 0.0418188 0.272017i
\(700\) −43.8713 12.7622i −1.65818 0.482365i
\(701\) 39.0103i 1.47340i −0.676219 0.736700i \(-0.736383\pi\)
0.676219 0.736700i \(-0.263617\pi\)
\(702\) 34.3362 + 10.9526i 1.29594 + 0.413379i
\(703\) 9.48311 + 5.47508i 0.357662 + 0.206496i
\(704\) −11.6328 + 6.71620i −0.438428 + 0.253126i
\(705\) −13.0731 33.6001i −0.492362 1.26545i
\(706\) 39.0023 22.5180i 1.46787 0.847475i
\(707\) −19.3028 + 18.4980i −0.725957 + 0.695688i
\(708\) 6.39229 7.96747i 0.240237 0.299436i
\(709\) −25.4349 + 44.0545i −0.955227 + 1.65450i −0.221380 + 0.975188i \(0.571056\pi\)
−0.733847 + 0.679315i \(0.762277\pi\)
\(710\) 38.2613 66.2705i 1.43592 2.48709i
\(711\) 11.6292 10.6636i 0.436128 0.399918i
\(712\) 5.98887i 0.224442i
\(713\) 0.436311 0.755713i 0.0163400 0.0283017i
\(714\) 25.2199 54.1837i 0.943831 2.02777i
\(715\) 12.6559 32.1756i 0.473304 1.20330i
\(716\) 0.765862 0.442170i 0.0286216 0.0165247i
\(717\) 17.9869 + 14.4309i 0.671734 + 0.538931i
\(718\) 17.9105 + 31.0219i 0.668414 + 1.15773i
\(719\) −21.7677 + 37.7028i −0.811799 + 1.40608i 0.0998049 + 0.995007i \(0.468178\pi\)
−0.911604 + 0.411070i \(0.865155\pi\)
\(720\) 38.8122 35.5898i 1.44645 1.32635i
\(721\) 19.3480 + 20.1898i 0.720557 + 0.751908i
\(722\) 19.6453 11.3422i 0.731123 0.422114i
\(723\) −8.58344 6.88648i −0.319221 0.256111i
\(724\) 31.2253i 1.16048i
\(725\) 0.355078 0.205004i 0.0131873 0.00761366i
\(726\) 15.3148 5.95869i 0.568387 0.221148i
\(727\) 36.0897i 1.33849i −0.743041 0.669246i \(-0.766617\pi\)
0.743041 0.669246i \(-0.233383\pi\)
\(728\) −2.08516 5.08196i −0.0772811 0.188350i
\(729\) 16.4590 + 21.4033i 0.609591 + 0.792716i
\(730\) −62.7338 −2.32188
\(731\) 36.2785 + 62.8362i 1.34181 + 2.32408i
\(732\) 10.4060 4.04877i 0.384617 0.149647i
\(733\) −2.29297 + 1.32385i −0.0846927 + 0.0488974i −0.541748 0.840541i \(-0.682237\pi\)
0.457056 + 0.889438i \(0.348904\pi\)
\(734\) −11.0320 19.1080i −0.407200 0.705291i
\(735\) −44.6749 + 15.2265i −1.64786 + 0.561637i
\(736\) 20.9833 0.773456
\(737\) −13.8094 7.97286i −0.508676 0.293684i
\(738\) 6.02482 19.1316i 0.221777 0.704243i
\(739\) −8.40565 14.5590i −0.309207 0.535562i 0.668982 0.743278i \(-0.266730\pi\)
−0.978189 + 0.207716i \(0.933397\pi\)
\(740\) 13.5012 + 23.3847i 0.496313 + 0.859639i
\(741\) 8.32948 + 14.5510i 0.305991 + 0.534543i
\(742\) −24.7004 7.18534i −0.906779 0.263782i
\(743\) 45.4471 + 26.2389i 1.66729 + 0.962612i 0.969089 + 0.246712i \(0.0793502\pi\)
0.698203 + 0.715899i \(0.253983\pi\)
\(744\) 0.113136 + 0.290778i 0.00414775 + 0.0106604i
\(745\) 27.1926i 0.996259i
\(746\) 4.25296 + 2.45545i 0.155712 + 0.0899003i
\(747\) 2.49206 + 11.2224i 0.0911798 + 0.410607i
\(748\) −24.5965 + 14.2008i −0.899338 + 0.519233i
\(749\) 5.27573 1.29392i 0.192771 0.0472787i
\(750\) −52.1476 41.8379i −1.90416 1.52771i
\(751\) −23.2949 −0.850044 −0.425022 0.905183i \(-0.639734\pi\)
−0.425022 + 0.905183i \(0.639734\pi\)
\(752\) 12.0553 + 20.8804i 0.439612 + 0.761430i
\(753\) 40.0306 + 6.15415i 1.45880 + 0.224270i
\(754\) −0.260624 0.102514i −0.00949137 0.00373333i
\(755\) −1.45210 −0.0528472
\(756\) −5.03641 + 22.8314i −0.183172 + 0.830369i
\(757\) 1.91330 3.31394i 0.0695402 0.120447i −0.829159 0.559013i \(-0.811180\pi\)
0.898699 + 0.438566i \(0.144513\pi\)
\(758\) 4.92253 + 2.84202i 0.178794 + 0.103227i
\(759\) 11.7632 + 1.80843i 0.426977 + 0.0656418i
\(760\) 6.01828 0.218306
\(761\) −10.4001 + 18.0136i −0.377005 + 0.652992i −0.990625 0.136610i \(-0.956379\pi\)
0.613620 + 0.789601i \(0.289713\pi\)
\(762\) 21.2678 8.27488i 0.770452 0.299767i
\(763\) −16.0276 4.66243i −0.580238 0.168791i
\(764\) 21.6438 + 12.4961i 0.783045 + 0.452091i
\(765\) 58.3557 53.5106i 2.10985 1.93468i
\(766\) 1.09877 + 0.634378i 0.0397003 + 0.0229210i
\(767\) −1.85421 12.3650i −0.0669516 0.446473i
\(768\) −21.3186 + 26.5720i −0.769270 + 0.958833i
\(769\) −33.4209 19.2956i −1.20519 0.695817i −0.243485 0.969905i \(-0.578291\pi\)
−0.961705 + 0.274088i \(0.911624\pi\)
\(770\) 46.8642 + 13.6328i 1.68887 + 0.491292i
\(771\) 32.5522 40.5737i 1.17234 1.46123i
\(772\) 16.2734 + 28.1864i 0.585692 + 1.01445i
\(773\) 29.1150 1.04719 0.523597 0.851966i \(-0.324590\pi\)
0.523597 + 0.851966i \(0.324590\pi\)
\(774\) −41.7434 45.5231i −1.50044 1.63629i