Properties

Label 637.2.bl.b.235.1
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.1
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.b.534.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.77110 - 0.417676i) q^{2} +(-1.04851 + 0.714861i) q^{3} +(5.59337 + 1.72533i) q^{4} +(-0.263133 - 3.51127i) q^{5} +(3.20410 - 1.54301i) q^{6} +(-2.12498 + 1.57621i) q^{7} +(-9.72941 - 4.68544i) q^{8} +(-0.507680 + 1.29355i) q^{9} +O(q^{10})\) \(q+(-2.77110 - 0.417676i) q^{2} +(-1.04851 + 0.714861i) q^{3} +(5.59337 + 1.72533i) q^{4} +(-0.263133 - 3.51127i) q^{5} +(3.20410 - 1.54301i) q^{6} +(-2.12498 + 1.57621i) q^{7} +(-9.72941 - 4.68544i) q^{8} +(-0.507680 + 1.29355i) q^{9} +(-0.737404 + 9.83997i) q^{10} +(-0.624995 - 1.59246i) q^{11} +(-7.09807 + 2.18946i) q^{12} +(0.623490 - 0.781831i) q^{13} +(6.54688 - 3.48029i) q^{14} +(2.78597 + 3.49349i) q^{15} +(15.3315 + 10.4528i) q^{16} +(1.71441 + 1.59074i) q^{17} +(1.94711 - 3.37250i) q^{18} +(0.726022 + 1.25751i) q^{19} +(4.58629 - 20.0938i) q^{20} +(1.10129 - 3.17174i) q^{21} +(1.06679 + 4.67391i) q^{22} +(-6.44619 + 5.98119i) q^{23} +(13.5508 - 2.04245i) q^{24} +(-7.31562 + 1.10265i) q^{25} +(-2.05430 + 1.90611i) q^{26} +(-1.23955 - 5.43080i) q^{27} +(-14.6053 + 5.15006i) q^{28} +(1.18359 - 5.18566i) q^{29} +(-6.26103 - 10.8444i) q^{30} +(-0.377091 + 0.653141i) q^{31} +(-22.2869 - 20.6792i) q^{32} +(1.79370 + 1.22292i) q^{33} +(-4.08638 - 5.12416i) q^{34} +(6.09367 + 7.04663i) q^{35} +(-5.07144 + 6.35938i) q^{36} +(-2.07059 + 0.638692i) q^{37} +(-1.48665 - 3.78791i) q^{38} +(-0.0948335 + 1.26546i) q^{39} +(-13.8917 + 35.3955i) q^{40} +(5.55007 + 2.67277i) q^{41} +(-4.37653 + 8.32921i) q^{42} +(6.52201 - 3.14083i) q^{43} +(-0.748314 - 9.98556i) q^{44} +(4.67558 + 1.44223i) q^{45} +(20.3612 - 13.8820i) q^{46} +(4.00122 + 0.603087i) q^{47} -23.5475 q^{48} +(2.03110 - 6.69885i) q^{49} +20.7328 q^{50} +(-2.93473 - 0.442339i) q^{51} +(4.83633 - 3.29735i) q^{52} +(6.04984 + 1.86613i) q^{53} +(1.16659 + 15.5670i) q^{54} +(-5.42711 + 2.61356i) q^{55} +(28.0601 - 5.37915i) q^{56} +(-1.66018 - 0.799501i) q^{57} +(-5.44577 + 13.8756i) q^{58} +(-0.756340 + 10.0927i) q^{59} +(9.55554 + 24.3471i) q^{60} +(4.30480 - 1.32785i) q^{61} +(1.31776 - 1.65242i) q^{62} +(-0.960096 - 3.54898i) q^{63} +(29.9833 + 37.5979i) q^{64} +(-2.90928 - 1.98352i) q^{65} +(-4.45973 - 4.13803i) q^{66} +(3.13878 - 5.43653i) q^{67} +(6.84479 + 11.8555i) q^{68} +(2.48317 - 10.8795i) q^{69} +(-13.9429 - 22.0721i) q^{70} +(0.304819 + 1.33550i) q^{71} +(11.0003 - 10.2067i) q^{72} +(-2.07697 + 0.313053i) q^{73} +(6.00457 - 0.905043i) q^{74} +(6.88225 - 6.38579i) q^{75} +(1.89130 + 8.28633i) q^{76} +(3.83816 + 2.39883i) q^{77} +(0.791346 - 3.46711i) q^{78} +(5.18567 + 8.98184i) q^{79} +(32.6685 - 56.5834i) q^{80} +(2.12598 + 1.97262i) q^{81} +(-14.2634 - 9.72464i) q^{82} +(9.20597 + 11.5439i) q^{83} +(11.6322 - 15.8406i) q^{84} +(5.13440 - 6.43833i) q^{85} +(-19.3850 + 5.97947i) q^{86} +(2.46602 + 6.28331i) q^{87} +(-1.38054 + 18.4221i) q^{88} +(1.15815 - 2.95091i) q^{89} +(-12.3541 - 5.94942i) q^{90} +(-0.0925716 + 2.64413i) q^{91} +(-46.3755 + 22.3333i) q^{92} +(-0.0715218 - 0.954392i) q^{93} +(-10.8359 - 3.34242i) q^{94} +(4.22441 - 2.88015i) q^{95} +(38.1507 + 5.75030i) q^{96} +10.8826 q^{97} +(-8.42633 + 17.7148i) q^{98} +2.37722 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.77110 0.417676i −1.95946 0.295341i −0.999904 0.0138244i \(-0.995599\pi\)
−0.959556 0.281517i \(-0.909162\pi\)
\(3\) −1.04851 + 0.714861i −0.605356 + 0.412725i −0.826838 0.562439i \(-0.809863\pi\)
0.221482 + 0.975164i \(0.428911\pi\)
\(4\) 5.59337 + 1.72533i 2.79669 + 0.862664i
\(5\) −0.263133 3.51127i −0.117677 1.57029i −0.673627 0.739072i \(-0.735264\pi\)
0.555950 0.831216i \(-0.312355\pi\)
\(6\) 3.20410 1.54301i 1.30807 0.629932i
\(7\) −2.12498 + 1.57621i −0.803168 + 0.595753i
\(8\) −9.72941 4.68544i −3.43986 1.65655i
\(9\) −0.507680 + 1.29355i −0.169227 + 0.431182i
\(10\) −0.737404 + 9.83997i −0.233188 + 3.11167i
\(11\) −0.624995 1.59246i −0.188443 0.480145i 0.805162 0.593055i \(-0.202078\pi\)
−0.993605 + 0.112909i \(0.963983\pi\)
\(12\) −7.09807 + 2.18946i −2.04904 + 0.632044i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 6.54688 3.48029i 1.74973 0.930145i
\(15\) 2.78597 + 3.49349i 0.719333 + 0.902016i
\(16\) 15.3315 + 10.4528i 3.83287 + 2.61321i
\(17\) 1.71441 + 1.59074i 0.415805 + 0.385811i 0.860147 0.510047i \(-0.170372\pi\)
−0.444342 + 0.895857i \(0.646562\pi\)
\(18\) 1.94711 3.37250i 0.458939 0.794905i
\(19\) 0.726022 + 1.25751i 0.166561 + 0.288492i 0.937208 0.348770i \(-0.113400\pi\)
−0.770648 + 0.637262i \(0.780067\pi\)
\(20\) 4.58629 20.0938i 1.02553 4.49312i
\(21\) 1.10129 3.17174i 0.240321 0.692130i
\(22\) 1.06679 + 4.67391i 0.227440 + 0.996481i
\(23\) −6.44619 + 5.98119i −1.34412 + 1.24716i −0.400438 + 0.916324i \(0.631142\pi\)
−0.943687 + 0.330841i \(0.892668\pi\)
\(24\) 13.5508 2.04245i 2.76604 0.416914i
\(25\) −7.31562 + 1.10265i −1.46312 + 0.220531i
\(26\) −2.05430 + 1.90611i −0.402882 + 0.373820i
\(27\) −1.23955 5.43080i −0.238551 1.04516i
\(28\) −14.6053 + 5.15006i −2.76014 + 0.973270i
\(29\) 1.18359 5.18566i 0.219788 0.962953i −0.737847 0.674968i \(-0.764157\pi\)
0.957635 0.287985i \(-0.0929854\pi\)
\(30\) −6.26103 10.8444i −1.14310 1.97991i
\(31\) −0.377091 + 0.653141i −0.0677276 + 0.117308i −0.897901 0.440198i \(-0.854908\pi\)
0.830173 + 0.557506i \(0.188242\pi\)
\(32\) −22.2869 20.6792i −3.93980 3.65560i
\(33\) 1.79370 + 1.22292i 0.312243 + 0.212884i
\(34\) −4.08638 5.12416i −0.700808 0.878786i
\(35\) 6.09367 + 7.04663i 1.03002 + 1.19110i
\(36\) −5.07144 + 6.35938i −0.845239 + 1.05990i
\(37\) −2.07059 + 0.638692i −0.340403 + 0.105000i −0.460243 0.887793i \(-0.652238\pi\)
0.119841 + 0.992793i \(0.461762\pi\)
\(38\) −1.48665 3.78791i −0.241166 0.614481i
\(39\) −0.0948335 + 1.26546i −0.0151855 + 0.202637i
\(40\) −13.8917 + 35.3955i −2.19647 + 5.59651i
\(41\) 5.55007 + 2.67277i 0.866776 + 0.417417i 0.813777 0.581177i \(-0.197408\pi\)
0.0529989 + 0.998595i \(0.483122\pi\)
\(42\) −4.37653 + 8.32921i −0.675314 + 1.28523i
\(43\) 6.52201 3.14083i 0.994596 0.478972i 0.135495 0.990778i \(-0.456737\pi\)
0.859101 + 0.511806i \(0.171023\pi\)
\(44\) −0.748314 9.98556i −0.112813 1.50538i
\(45\) 4.67558 + 1.44223i 0.696994 + 0.214994i
\(46\) 20.3612 13.8820i 3.00210 2.04680i
\(47\) 4.00122 + 0.603087i 0.583638 + 0.0879693i 0.434223 0.900805i \(-0.357023\pi\)
0.149415 + 0.988775i \(0.452261\pi\)
\(48\) −23.5475 −3.39879
\(49\) 2.03110 6.69885i 0.290157 0.956979i
\(50\) 20.7328 2.93207
\(51\) −2.93473 0.442339i −0.410944 0.0619399i
\(52\) 4.83633 3.29735i 0.670678 0.457260i
\(53\) 6.04984 + 1.86613i 0.831010 + 0.256333i 0.680937 0.732342i \(-0.261573\pi\)
0.150073 + 0.988675i \(0.452049\pi\)
\(54\) 1.16659 + 15.5670i 0.158752 + 2.11840i
\(55\) −5.42711 + 2.61356i −0.731791 + 0.352412i
\(56\) 28.0601 5.37915i 3.74968 0.718820i
\(57\) −1.66018 0.799501i −0.219896 0.105897i
\(58\) −5.44577 + 13.8756i −0.715065 + 1.82196i
\(59\) −0.756340 + 10.0927i −0.0984671 + 1.31395i 0.700965 + 0.713196i \(0.252753\pi\)
−0.799432 + 0.600757i \(0.794866\pi\)
\(60\) 9.55554 + 24.3471i 1.23361 + 3.14320i
\(61\) 4.30480 1.32785i 0.551173 0.170014i −0.00664459 0.999978i \(-0.502115\pi\)
0.557818 + 0.829964i \(0.311639\pi\)
\(62\) 1.31776 1.65242i 0.167355 0.209857i
\(63\) −0.960096 3.54898i −0.120961 0.447129i
\(64\) 29.9833 + 37.5979i 3.74791 + 4.69973i
\(65\) −2.90928 1.98352i −0.360852 0.246025i
\(66\) −4.45973 4.13803i −0.548955 0.509356i
\(67\) 3.13878 5.43653i 0.383463 0.664178i −0.608091 0.793867i \(-0.708065\pi\)
0.991555 + 0.129689i \(0.0413979\pi\)
\(68\) 6.84479 + 11.8555i 0.830052 + 1.43769i
\(69\) 2.48317 10.8795i 0.298938 1.30973i
\(70\) −13.9429 22.0721i −1.66650 2.63812i
\(71\) 0.304819 + 1.33550i 0.0361754 + 0.158495i 0.989789 0.142537i \(-0.0455261\pi\)
−0.953614 + 0.301032i \(0.902669\pi\)
\(72\) 11.0003 10.2067i 1.29639 1.20288i
\(73\) −2.07697 + 0.313053i −0.243091 + 0.0366401i −0.269458 0.963012i \(-0.586844\pi\)
0.0263666 + 0.999652i \(0.491606\pi\)
\(74\) 6.00457 0.905043i 0.698017 0.105209i
\(75\) 6.88225 6.38579i 0.794693 0.737368i
\(76\) 1.89130 + 8.28633i 0.216947 + 0.950507i
\(77\) 3.83816 + 2.39883i 0.437399 + 0.273372i
\(78\) 0.791346 3.46711i 0.0896023 0.392573i
\(79\) 5.18567 + 8.98184i 0.583433 + 1.01054i 0.995069 + 0.0991871i \(0.0316242\pi\)
−0.411636 + 0.911348i \(0.635042\pi\)
\(80\) 32.6685 56.5834i 3.65244 6.32622i
\(81\) 2.12598 + 1.97262i 0.236220 + 0.219180i
\(82\) −14.2634 9.72464i −1.57513 1.07391i
\(83\) 9.20597 + 11.5439i 1.01049 + 1.26711i 0.963357 + 0.268222i \(0.0864359\pi\)
0.0471295 + 0.998889i \(0.484993\pi\)
\(84\) 11.6322 15.8406i 1.26918 1.72836i
\(85\) 5.13440 6.43833i 0.556904 0.698335i
\(86\) −19.3850 + 5.97947i −2.09033 + 0.644782i
\(87\) 2.46602 + 6.28331i 0.264385 + 0.673642i
\(88\) −1.38054 + 18.4221i −0.147167 + 1.96380i
\(89\) 1.15815 2.95091i 0.122763 0.312796i −0.856260 0.516546i \(-0.827218\pi\)
0.979023 + 0.203750i \(0.0653129\pi\)
\(90\) −12.3541 5.94942i −1.30224 0.627124i
\(91\) −0.0925716 + 2.64413i −0.00970414 + 0.277180i
\(92\) −46.3755 + 22.3333i −4.83498 + 2.32840i
\(93\) −0.0715218 0.954392i −0.00741646 0.0989658i
\(94\) −10.8359 3.34242i −1.11764 0.344745i
\(95\) 4.22441 2.88015i 0.433415 0.295497i
\(96\) 38.1507 + 5.75030i 3.89374 + 0.586887i
\(97\) 10.8826 1.10496 0.552478 0.833527i \(-0.313682\pi\)
0.552478 + 0.833527i \(0.313682\pi\)
\(98\) −8.42633 + 17.7148i −0.851187 + 1.78947i
\(99\) 2.37722 0.238920
\(100\) −42.8215 6.45430i −4.28215 0.645430i
\(101\) 4.00122 2.72799i 0.398136 0.271445i −0.347658 0.937622i \(-0.613023\pi\)
0.745794 + 0.666177i \(0.232070\pi\)
\(102\) 7.94766 + 2.45153i 0.786936 + 0.242737i
\(103\) 1.26055 + 16.8209i 0.124206 + 1.65741i 0.616778 + 0.787137i \(0.288438\pi\)
−0.492572 + 0.870272i \(0.663943\pi\)
\(104\) −9.72941 + 4.68544i −0.954047 + 0.459445i
\(105\) −11.4266 3.03233i −1.11512 0.295925i
\(106\) −15.9853 7.69809i −1.55263 0.747705i
\(107\) 6.03419 15.3749i 0.583347 1.48634i −0.268882 0.963173i \(-0.586654\pi\)
0.852228 0.523170i \(-0.175251\pi\)
\(108\) 2.43667 32.5151i 0.234469 3.12877i
\(109\) 1.59065 + 4.05291i 0.152356 + 0.388198i 0.986591 0.163212i \(-0.0521854\pi\)
−0.834235 + 0.551410i \(0.814090\pi\)
\(110\) 16.1307 4.97565i 1.53800 0.474409i
\(111\) 1.71445 2.14986i 0.162729 0.204055i
\(112\) −49.0550 + 1.95361i −4.63526 + 0.184599i
\(113\) 4.97116 + 6.23364i 0.467648 + 0.586412i 0.958593 0.284779i \(-0.0919201\pi\)
−0.490946 + 0.871190i \(0.663349\pi\)
\(114\) 4.26659 + 2.90891i 0.399603 + 0.272445i
\(115\) 22.6978 + 21.0605i 2.11658 + 1.96390i
\(116\) 15.5672 26.9633i 1.44538 2.50348i
\(117\) 0.694803 + 1.20343i 0.0642345 + 0.111257i
\(118\) 6.31135 27.6518i 0.581007 2.54556i
\(119\) −6.15043 0.678018i −0.563809 0.0621538i
\(120\) −10.7373 47.0431i −0.980174 4.29442i
\(121\) 5.91825 5.49134i 0.538023 0.499213i
\(122\) −12.4836 + 1.88160i −1.13021 + 0.170352i
\(123\) −7.72996 + 1.16510i −0.696987 + 0.105054i
\(124\) −3.23610 + 3.00266i −0.290610 + 0.269647i
\(125\) 1.87909 + 8.23282i 0.168071 + 0.736366i
\(126\) 1.17820 + 10.2356i 0.104962 + 0.911856i
\(127\) 0.745541 3.26643i 0.0661561 0.289849i −0.931018 0.364973i \(-0.881078\pi\)
0.997174 + 0.0751243i \(0.0239353\pi\)
\(128\) −36.9800 64.0512i −3.26860 5.66138i
\(129\) −4.59312 + 7.95551i −0.404401 + 0.700444i
\(130\) 7.23344 + 6.71165i 0.634414 + 0.588650i
\(131\) 0.903939 + 0.616295i 0.0789775 + 0.0538459i 0.602165 0.798372i \(-0.294305\pi\)
−0.523188 + 0.852218i \(0.675257\pi\)
\(132\) 7.92290 + 9.93500i 0.689600 + 0.864730i
\(133\) −3.52488 1.52781i −0.305646 0.132478i
\(134\) −10.9686 + 13.7542i −0.947541 + 1.18818i
\(135\) −18.7429 + 5.78140i −1.61313 + 0.497584i
\(136\) −9.22688 23.5097i −0.791198 2.01594i
\(137\) −1.28546 + 17.1532i −0.109824 + 1.46550i 0.621471 + 0.783437i \(0.286535\pi\)
−0.731295 + 0.682061i \(0.761084\pi\)
\(138\) −11.4252 + 29.1109i −0.972575 + 2.47808i
\(139\) 8.45053 + 4.06956i 0.716765 + 0.345176i 0.756463 0.654036i \(-0.226926\pi\)
−0.0396988 + 0.999212i \(0.512640\pi\)
\(140\) 21.9264 + 49.9280i 1.85312 + 4.21969i
\(141\) −4.62644 + 2.22797i −0.389616 + 0.187629i
\(142\) −0.286877 3.82811i −0.0240742 0.321248i
\(143\) −1.63472 0.504243i −0.136702 0.0421669i
\(144\) −21.3047 + 14.5253i −1.77539 + 1.21044i
\(145\) −18.5197 2.79140i −1.53798 0.231813i
\(146\) 5.88624 0.487149
\(147\) 2.65912 + 8.47576i 0.219320 + 0.699069i
\(148\) −12.6835 −1.04258
\(149\) −1.61586 0.243551i −0.132376 0.0199525i 0.0825200 0.996589i \(-0.473703\pi\)
−0.214896 + 0.976637i \(0.568941\pi\)
\(150\) −21.7386 + 14.8211i −1.77495 + 1.21014i
\(151\) −1.95885 0.604224i −0.159409 0.0491711i 0.214024 0.976828i \(-0.431343\pi\)
−0.373432 + 0.927657i \(0.621819\pi\)
\(152\) −1.17180 15.6365i −0.0950452 1.26829i
\(153\) −2.92807 + 1.41008i −0.236720 + 0.113998i
\(154\) −9.63399 8.25049i −0.776329 0.664843i
\(155\) 2.39258 + 1.15221i 0.192177 + 0.0925474i
\(156\) −2.71378 + 6.91460i −0.217276 + 0.553611i
\(157\) 0.260620 3.47774i 0.0207998 0.277554i −0.977100 0.212780i \(-0.931748\pi\)
0.997900 0.0647739i \(-0.0206326\pi\)
\(158\) −10.6185 27.0555i −0.844761 2.15242i
\(159\) −7.67733 + 2.36814i −0.608852 + 0.187806i
\(160\) −66.7459 + 83.6967i −5.27673 + 6.61680i
\(161\) 4.27041 22.8705i 0.336556 1.80245i
\(162\) −5.06739 6.35430i −0.398132 0.499241i
\(163\) −10.3968 7.08841i −0.814340 0.555207i 0.0829993 0.996550i \(-0.473550\pi\)
−0.897339 + 0.441342i \(0.854502\pi\)
\(164\) 26.4322 + 24.5255i 2.06401 + 1.91512i
\(165\) 3.82204 6.61996i 0.297545 0.515363i
\(166\) −20.6890 35.8344i −1.60578 2.78129i
\(167\) −4.18711 + 18.3449i −0.324009 + 1.41957i 0.506342 + 0.862333i \(0.330997\pi\)
−0.830351 + 0.557241i \(0.811860\pi\)
\(168\) −25.5759 + 25.6991i −1.97322 + 1.98273i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −16.9170 + 15.6967i −1.29748 + 1.20388i
\(171\) −1.99523 + 0.300733i −0.152579 + 0.0229976i
\(172\) 41.8990 6.31526i 3.19477 0.481534i
\(173\) 10.9027 10.1162i 0.828914 0.769119i −0.146568 0.989201i \(-0.546823\pi\)
0.975482 + 0.220081i \(0.0706322\pi\)
\(174\) −4.20919 18.4417i −0.319098 1.39806i
\(175\) 13.8076 13.8741i 1.04375 1.04878i
\(176\) 7.06362 30.9477i 0.532441 2.33277i
\(177\) −6.42182 11.1229i −0.482693 0.836049i
\(178\) −4.44186 + 7.69352i −0.332931 + 0.576654i
\(179\) −12.9832 12.0466i −0.970407 0.900406i 0.0246520 0.999696i \(-0.492152\pi\)
−0.995058 + 0.0992904i \(0.968343\pi\)
\(180\) 23.6640 + 16.1338i 1.76381 + 1.20254i
\(181\) −1.81388 2.27454i −0.134825 0.169065i 0.709836 0.704367i \(-0.248769\pi\)
−0.844661 + 0.535302i \(0.820198\pi\)
\(182\) 1.36091 7.28848i 0.100878 0.540258i
\(183\) −3.56438 + 4.46960i −0.263487 + 0.330402i
\(184\) 90.7421 27.9902i 6.68960 2.06347i
\(185\) 2.78746 + 7.10234i 0.204938 + 0.522174i
\(186\) −0.200432 + 2.67458i −0.0146964 + 0.196110i
\(187\) 1.46169 3.72434i 0.106890 0.272350i
\(188\) 21.3398 + 10.2767i 1.55637 + 0.749506i
\(189\) 11.1941 + 9.58658i 0.814252 + 0.697321i
\(190\) −12.9092 + 6.21674i −0.936532 + 0.451010i
\(191\) 0.924328 + 12.3343i 0.0668820 + 0.892478i 0.925229 + 0.379409i \(0.123873\pi\)
−0.858347 + 0.513069i \(0.828508\pi\)
\(192\) −58.3149 17.9878i −4.20852 1.29816i
\(193\) 6.02597 4.10844i 0.433759 0.295732i −0.326688 0.945132i \(-0.605933\pi\)
0.760446 + 0.649401i \(0.224980\pi\)
\(194\) −30.1566 4.54538i −2.16512 0.326339i
\(195\) 4.46834 0.319985
\(196\) 22.9184 33.9649i 1.63703 2.42606i
\(197\) −7.71860 −0.549927 −0.274964 0.961455i \(-0.588666\pi\)
−0.274964 + 0.961455i \(0.588666\pi\)
\(198\) −6.58751 0.992907i −0.468154 0.0705629i
\(199\) −8.09362 + 5.51814i −0.573742 + 0.391170i −0.815147 0.579254i \(-0.803344\pi\)
0.241406 + 0.970424i \(0.422392\pi\)
\(200\) 76.3431 + 23.5487i 5.39827 + 1.66515i
\(201\) 0.595324 + 7.94404i 0.0419909 + 0.560329i
\(202\) −12.2272 + 5.88830i −0.860301 + 0.414299i
\(203\) 5.65859 + 12.8850i 0.397155 + 0.904352i
\(204\) −15.6519 7.53754i −1.09585 0.527733i
\(205\) 7.92442 20.1911i 0.553466 1.41021i
\(206\) 3.53256 47.1387i 0.246125 3.28431i
\(207\) −4.46435 11.3750i −0.310294 0.790616i
\(208\) 17.7314 5.46940i 1.22945 0.379235i
\(209\) 1.54877 1.94210i 0.107131 0.134338i
\(210\) 30.3977 + 13.1755i 2.09764 + 0.909196i
\(211\) 17.3199 + 21.7185i 1.19235 + 1.49516i 0.825048 + 0.565063i \(0.191148\pi\)
0.367305 + 0.930100i \(0.380280\pi\)
\(212\) 30.6193 + 20.8759i 2.10295 + 1.43376i
\(213\) −1.27430 1.18238i −0.0873137 0.0810153i
\(214\) −23.1430 + 40.0849i −1.58202 + 2.74014i
\(215\) −12.7445 22.0741i −0.869165 1.50544i
\(216\) −13.3856 + 58.6463i −0.910777 + 3.99038i
\(217\) −0.228178 1.98229i −0.0154897 0.134567i
\(218\) −2.71504 11.8954i −0.183886 0.805656i
\(219\) 1.95393 1.81298i 0.132034 0.122510i
\(220\) −34.8651 + 5.25507i −2.35060 + 0.354296i
\(221\) 2.31261 0.348569i 0.155563 0.0234473i
\(222\) −5.64886 + 5.24137i −0.379126 + 0.351778i
\(223\) −0.994143 4.35562i −0.0665727 0.291674i 0.930672 0.365854i \(-0.119223\pi\)
−0.997245 + 0.0741802i \(0.976366\pi\)
\(224\) 79.9541 + 8.81407i 5.34216 + 0.588915i
\(225\) 2.28766 10.0229i 0.152511 0.668193i
\(226\) −11.1719 19.3504i −0.743146 1.28717i
\(227\) 9.94227 17.2205i 0.659891 1.14297i −0.320752 0.947163i \(-0.603936\pi\)
0.980643 0.195802i \(-0.0627311\pi\)
\(228\) −7.90662 7.33627i −0.523629 0.485856i
\(229\) 4.52846 + 3.08745i 0.299249 + 0.204025i 0.703631 0.710566i \(-0.251561\pi\)
−0.404382 + 0.914590i \(0.632513\pi\)
\(230\) −54.1013 67.8409i −3.56734 4.47330i
\(231\) −5.73917 + 0.228562i −0.377610 + 0.0150383i
\(232\) −35.8127 + 44.9077i −2.35122 + 2.94834i
\(233\) −4.78794 + 1.47689i −0.313669 + 0.0967540i −0.447592 0.894238i \(-0.647718\pi\)
0.133924 + 0.990992i \(0.457242\pi\)
\(234\) −1.42272 3.62503i −0.0930061 0.236976i
\(235\) 1.06475 14.2081i 0.0694564 0.926832i
\(236\) −21.6436 + 55.1471i −1.40888 + 3.58977i
\(237\) −11.8580 5.71050i −0.770258 0.370937i
\(238\) 16.7603 + 4.44774i 1.08641 + 0.288304i
\(239\) 10.9397 5.26826i 0.707628 0.340776i −0.0452137 0.998977i \(-0.514397\pi\)
0.752842 + 0.658202i \(0.228683\pi\)
\(240\) 6.19613 + 82.6816i 0.399958 + 5.33707i
\(241\) −8.25410 2.54605i −0.531694 0.164006i 0.0172718 0.999851i \(-0.494502\pi\)
−0.548965 + 0.835845i \(0.684978\pi\)
\(242\) −18.6936 + 12.7451i −1.20167 + 0.819287i
\(243\) 12.8855 + 1.94217i 0.826604 + 0.124591i
\(244\) 26.3693 1.68812
\(245\) −24.0559 5.36906i −1.53688 0.343016i
\(246\) 21.9071 1.39674
\(247\) 1.43583 + 0.216416i 0.0913594 + 0.0137702i
\(248\) 6.72913 4.58784i 0.427300 0.291328i
\(249\) −17.9048 5.52291i −1.13467 0.350000i
\(250\) −1.76848 23.5988i −0.111849 1.49252i
\(251\) −24.0361 + 11.5752i −1.51715 + 0.730619i −0.992676 0.120809i \(-0.961451\pi\)
−0.524471 + 0.851428i \(0.675737\pi\)
\(252\) 0.752973 21.5072i 0.0474328 1.35483i
\(253\) 13.5537 + 6.52710i 0.852111 + 0.410355i
\(254\) −3.43027 + 8.74020i −0.215235 + 0.548409i
\(255\) −0.780947 + 10.4210i −0.0489048 + 0.652589i
\(256\) 40.5843 + 103.407i 2.53652 + 6.46295i
\(257\) −13.7264 + 4.23404i −0.856231 + 0.264112i −0.691633 0.722249i \(-0.743109\pi\)
−0.164597 + 0.986361i \(0.552632\pi\)
\(258\) 16.0508 20.1271i 0.999279 1.25306i
\(259\) 3.39325 4.62090i 0.210846 0.287129i
\(260\) −12.8505 16.1140i −0.796954 0.999348i
\(261\) 6.10701 + 4.16369i 0.378014 + 0.257726i
\(262\) −2.24749 2.08537i −0.138850 0.128834i
\(263\) 1.78312 3.08846i 0.109952 0.190443i −0.805799 0.592190i \(-0.798264\pi\)
0.915751 + 0.401747i \(0.131597\pi\)
\(264\) −11.7217 20.3026i −0.721421 1.24954i
\(265\) 4.96057 21.7337i 0.304725 1.33509i
\(266\) 9.12966 + 5.70598i 0.559775 + 0.349856i
\(267\) 0.895163 + 3.92196i 0.0547831 + 0.240020i
\(268\) 26.9362 24.9931i 1.64539 1.52670i
\(269\) −19.1255 + 2.88271i −1.16610 + 0.175762i −0.703429 0.710766i \(-0.748349\pi\)
−0.462676 + 0.886528i \(0.653111\pi\)
\(270\) 54.3530 8.19240i 3.30782 0.498573i
\(271\) −20.6702 + 19.1791i −1.25563 + 1.16505i −0.276672 + 0.960964i \(0.589232\pi\)
−0.978953 + 0.204086i \(0.934578\pi\)
\(272\) 9.65670 + 42.3088i 0.585524 + 2.56535i
\(273\) −1.79312 2.83857i −0.108525 0.171798i
\(274\) 10.7266 46.9963i 0.648018 2.83915i
\(275\) 6.32816 + 10.9607i 0.381603 + 0.660955i
\(276\) 32.6599 56.5686i 1.96590 3.40503i
\(277\) −12.3632 11.4714i −0.742832 0.689247i 0.214988 0.976617i \(-0.431029\pi\)
−0.957820 + 0.287370i \(0.907219\pi\)
\(278\) −21.7175 14.8067i −1.30253 0.888048i
\(279\) −0.653427 0.819372i −0.0391197 0.0490545i
\(280\) −26.2712 97.1110i −1.57000 5.80349i
\(281\) 10.7025 13.4205i 0.638457 0.800600i −0.352352 0.935867i \(-0.614618\pi\)
0.990809 + 0.135268i \(0.0431895\pi\)
\(282\) 13.7509 4.24158i 0.818852 0.252582i
\(283\) 0.404551 + 1.03078i 0.0240480 + 0.0612734i 0.942393 0.334506i \(-0.108570\pi\)
−0.918345 + 0.395780i \(0.870474\pi\)
\(284\) −0.599207 + 7.99586i −0.0355564 + 0.474467i
\(285\) −2.37042 + 6.03972i −0.140411 + 0.357762i
\(286\) 4.31934 + 2.08009i 0.255408 + 0.122998i
\(287\) −16.0067 + 3.06850i −0.944844 + 0.181128i
\(288\) 38.0641 18.3307i 2.24295 1.08015i
\(289\) −0.861664 11.4981i −0.0506861 0.676359i
\(290\) 50.1540 + 15.4704i 2.94514 + 0.908456i
\(291\) −11.4105 + 7.77952i −0.668893 + 0.456043i
\(292\) −12.1574 1.83243i −0.711457 0.107235i
\(293\) 22.3918 1.30814 0.654072 0.756433i \(-0.273059\pi\)
0.654072 + 0.756433i \(0.273059\pi\)
\(294\) −3.82856 24.5978i −0.223286 1.43457i
\(295\) 35.6371 2.07487
\(296\) 23.1382 + 3.48752i 1.34488 + 0.202708i
\(297\) −7.87364 + 5.36816i −0.456875 + 0.311492i
\(298\) 4.37597 + 1.34981i 0.253493 + 0.0781922i
\(299\) 0.657149 + 8.76905i 0.0380039 + 0.507127i
\(300\) 49.5126 23.8440i 2.85861 1.37663i
\(301\) −8.90853 + 16.9543i −0.513479 + 0.977229i
\(302\) 5.17578 + 2.49253i 0.297833 + 0.143429i
\(303\) −2.24518 + 5.72063i −0.128982 + 0.328642i
\(304\) −2.01351 + 26.8684i −0.115483 + 1.54101i
\(305\) −5.79519 14.7659i −0.331832 0.845493i
\(306\) 8.70291 2.68449i 0.497512 0.153462i
\(307\) 12.6069 15.8086i 0.719514 0.902243i −0.278796 0.960350i \(-0.589935\pi\)
0.998310 + 0.0581078i \(0.0185067\pi\)
\(308\) 17.3295 + 20.0396i 0.987441 + 1.14186i
\(309\) −13.3463 16.7357i −0.759243 0.952060i
\(310\) −6.14882 4.19220i −0.349230 0.238101i
\(311\) −3.44267 3.19433i −0.195216 0.181134i 0.576508 0.817091i \(-0.304415\pi\)
−0.771724 + 0.635957i \(0.780605\pi\)
\(312\) 6.85193 11.8679i 0.387914 0.671887i
\(313\) 7.19085 + 12.4549i 0.406451 + 0.703994i 0.994489 0.104839i \(-0.0334328\pi\)
−0.588038 + 0.808833i \(0.700099\pi\)
\(314\) −2.17477 + 9.52829i −0.122729 + 0.537712i
\(315\) −12.2088 + 4.30501i −0.687887 + 0.242560i
\(316\) 13.5088 + 59.1857i 0.759927 + 3.32946i
\(317\) −17.1876 + 15.9478i −0.965353 + 0.895716i −0.994592 0.103856i \(-0.966882\pi\)
0.0292398 + 0.999572i \(0.490691\pi\)
\(318\) 22.2637 3.35572i 1.24849 0.188179i
\(319\) −8.99771 + 1.35619i −0.503775 + 0.0759318i
\(320\) 124.127 115.173i 6.93889 6.43835i
\(321\) 4.66399 + 20.4343i 0.260318 + 1.14053i
\(322\) −21.3862 + 61.5927i −1.19180 + 3.43243i
\(323\) −0.755667 + 3.31079i −0.0420464 + 0.184217i
\(324\) 8.48800 + 14.7016i 0.471555 + 0.816758i
\(325\) −3.69913 + 6.40708i −0.205191 + 0.355401i
\(326\) 25.8498 + 23.9852i 1.43169 + 1.32841i
\(327\) −4.56507 3.11241i −0.252449 0.172117i
\(328\) −41.4758 52.0090i −2.29012 2.87172i
\(329\) −9.45312 + 5.02523i −0.521167 + 0.277050i
\(330\) −13.3562 + 16.7482i −0.735236 + 0.921957i
\(331\) 12.3513 3.80987i 0.678889 0.209410i 0.0639132 0.997955i \(-0.479642\pi\)
0.614976 + 0.788546i \(0.289166\pi\)
\(332\) 31.5754 + 80.4528i 1.73293 + 4.41542i
\(333\) 0.225018 3.00266i 0.0123309 0.164545i
\(334\) 19.2651 49.0867i 1.05414 2.68591i
\(335\) −19.9151 9.59058i −1.08808 0.523990i
\(336\) 50.0380 37.1159i 2.72980 2.02484i
\(337\) −3.89292 + 1.87473i −0.212061 + 0.102123i −0.536899 0.843646i \(-0.680404\pi\)
0.324838 + 0.945770i \(0.394690\pi\)
\(338\) 0.209423 + 2.79456i 0.0113911 + 0.152004i
\(339\) −9.66849 2.98233i −0.525120 0.161978i
\(340\) 39.8268 27.1535i 2.15991 1.47260i
\(341\) 1.27578 + 0.192293i 0.0690875 + 0.0104133i
\(342\) 5.65459 0.305765
\(343\) 6.24277 + 17.4364i 0.337078 + 0.941477i
\(344\) −78.1714 −4.21472
\(345\) −38.8541 5.85632i −2.09184 0.315293i
\(346\) −34.4376 + 23.4792i −1.85138 + 1.26225i
\(347\) −7.90838 2.43941i −0.424544 0.130954i 0.0751187 0.997175i \(-0.476066\pi\)
−0.499662 + 0.866220i \(0.666543\pi\)
\(348\) 2.95259 + 39.3996i 0.158276 + 2.11204i
\(349\) −15.0903 + 7.26710i −0.807764 + 0.388999i −0.791729 0.610873i \(-0.790819\pi\)
−0.0160353 + 0.999871i \(0.505104\pi\)
\(350\) −44.0569 + 32.6794i −2.35494 + 1.74679i
\(351\) −5.01882 2.41694i −0.267885 0.129006i
\(352\) −19.0017 + 48.4154i −1.01279 + 2.58055i
\(353\) −1.00317 + 13.3864i −0.0533935 + 0.712487i 0.904703 + 0.426042i \(0.140092\pi\)
−0.958097 + 0.286445i \(0.907527\pi\)
\(354\) 13.1497 + 33.5049i 0.698899 + 1.78077i
\(355\) 4.60909 1.42172i 0.244625 0.0754569i
\(356\) 11.5692 14.5074i 0.613168 0.768888i
\(357\) 6.93347 3.68580i 0.366958 0.195073i
\(358\) 30.9460 + 38.8050i 1.63555 + 2.05091i
\(359\) 6.24611 + 4.25853i 0.329657 + 0.224756i 0.716826 0.697253i \(-0.245594\pi\)
−0.387168 + 0.922009i \(0.626547\pi\)
\(360\) −38.7332 35.9391i −2.04142 1.89416i
\(361\) 8.44578 14.6285i 0.444515 0.769923i
\(362\) 4.07643 + 7.06058i 0.214252 + 0.371096i
\(363\) −2.27980 + 9.98844i −0.119658 + 0.524257i
\(364\) −5.07978 + 14.6299i −0.266253 + 0.766815i
\(365\) 1.64573 + 7.21043i 0.0861416 + 0.377411i
\(366\) 11.7441 10.8969i 0.613874 0.569591i
\(367\) 5.79256 0.873088i 0.302369 0.0455748i 0.00389469 0.999992i \(-0.498760\pi\)
0.298475 + 0.954418i \(0.403522\pi\)
\(368\) −161.350 + 24.3196i −8.41095 + 1.26775i
\(369\) −6.27502 + 5.82237i −0.326664 + 0.303100i
\(370\) −4.75785 20.8455i −0.247349 1.08371i
\(371\) −15.7972 + 5.57035i −0.820151 + 0.289198i
\(372\) 1.24659 5.46167i 0.0646327 0.283174i
\(373\) 2.99099 + 5.18054i 0.154868 + 0.268238i 0.933011 0.359848i \(-0.117172\pi\)
−0.778143 + 0.628087i \(0.783838\pi\)
\(374\) −5.60606 + 9.70998i −0.289882 + 0.502091i
\(375\) −7.85555 7.28889i −0.405659 0.376397i
\(376\) −36.1038 24.6151i −1.86191 1.26943i
\(377\) −3.31635 4.15858i −0.170801 0.214178i
\(378\) −27.0159 31.2408i −1.38955 1.60685i
\(379\) 8.92521 11.1919i 0.458457 0.574888i −0.497845 0.867266i \(-0.665875\pi\)
0.956303 + 0.292378i \(0.0944467\pi\)
\(380\) 28.5979 8.82128i 1.46704 0.452522i
\(381\) 1.55334 + 3.95784i 0.0795798 + 0.202766i
\(382\) 2.59033 34.5656i 0.132533 1.76853i
\(383\) 3.75892 9.57757i 0.192072 0.489391i −0.802101 0.597188i \(-0.796285\pi\)
0.994173 + 0.107797i \(0.0343798\pi\)
\(384\) 84.5615 + 40.7227i 4.31526 + 2.07812i
\(385\) 7.41298 14.1080i 0.377801 0.719012i
\(386\) −18.4145 + 8.86797i −0.937275 + 0.451368i
\(387\) 0.751724 + 10.0311i 0.0382123 + 0.509907i
\(388\) 60.8702 + 18.7760i 3.09022 + 0.953206i
\(389\) −24.3086 + 16.5733i −1.23249 + 0.840300i −0.991485 0.130223i \(-0.958431\pi\)
−0.241009 + 0.970523i \(0.577478\pi\)
\(390\) −12.3822 1.86632i −0.626997 0.0945047i
\(391\) −20.5659 −1.04006
\(392\) −51.1485 + 55.6593i −2.58339 + 2.81122i
\(393\) −1.38835 −0.0700331
\(394\) 21.3890 + 3.22387i 1.07756 + 0.162416i
\(395\) 30.1731 20.5717i 1.51817 1.03507i
\(396\) 13.2967 + 4.10149i 0.668184 + 0.206107i
\(397\) 1.42469 + 19.0112i 0.0715033 + 0.954145i 0.911433 + 0.411450i \(0.134977\pi\)
−0.839929 + 0.542696i \(0.817404\pi\)
\(398\) 24.7330 11.9108i 1.23975 0.597033i
\(399\) 4.78804 0.917874i 0.239702 0.0459512i
\(400\) −123.685 59.5636i −6.18426 2.97818i
\(401\) 4.87582 12.4234i 0.243487 0.620395i −0.755926 0.654657i \(-0.772813\pi\)
0.999413 + 0.0342624i \(0.0109082\pi\)
\(402\) 1.66833 22.2623i 0.0832089 1.11035i
\(403\) 0.275534 + 0.702049i 0.0137253 + 0.0349715i
\(404\) 27.0870 8.35523i 1.34763 0.415688i
\(405\) 6.36700 7.98397i 0.316379 0.396726i
\(406\) −10.2987 38.0691i −0.511118 1.88934i
\(407\) 2.31120 + 2.89815i 0.114562 + 0.143656i
\(408\) 26.4806 + 18.0542i 1.31099 + 0.893815i
\(409\) 9.44469 + 8.76339i 0.467010 + 0.433322i 0.878248 0.478206i \(-0.158713\pi\)
−0.411238 + 0.911528i \(0.634903\pi\)
\(410\) −30.3927 + 52.6416i −1.50099 + 2.59979i
\(411\) −10.9144 18.9042i −0.538365 0.932476i
\(412\) −21.9708 + 96.2602i −1.08242 + 4.74240i
\(413\) −14.3010 22.6389i −0.703705 1.11399i
\(414\) 7.62010 + 33.3858i 0.374507 + 1.64082i
\(415\) 38.1114 35.3622i 1.87082 1.73586i
\(416\) −30.0633 + 4.53132i −1.47398 + 0.222166i
\(417\) −11.7696 + 1.77398i −0.576361 + 0.0868724i
\(418\) −5.10296 + 4.73486i −0.249594 + 0.231589i
\(419\) 6.88609 + 30.1699i 0.336407 + 1.47390i 0.806476 + 0.591267i \(0.201372\pi\)
−0.470068 + 0.882630i \(0.655771\pi\)
\(420\) −58.6816 36.6756i −2.86337 1.78959i
\(421\) −6.77057 + 29.6638i −0.329977 + 1.44573i 0.489193 + 0.872175i \(0.337291\pi\)
−0.819171 + 0.573550i \(0.805566\pi\)
\(422\) −38.9239 67.4182i −1.89479 3.28186i
\(423\) −2.81146 + 4.86959i −0.136698 + 0.236768i
\(424\) −50.1177 46.5025i −2.43393 2.25836i
\(425\) −14.2960 9.74685i −0.693458 0.472792i
\(426\) 3.03736 + 3.80873i 0.147161 + 0.184534i
\(427\) −7.05464 + 9.60695i −0.341398 + 0.464913i
\(428\) 60.2781 75.5864i 2.91365 3.65360i
\(429\) 2.07448 0.639891i 0.100157 0.0308942i
\(430\) 26.0963 + 66.4924i 1.25848 + 3.20655i
\(431\) 1.63612 21.8325i 0.0788090 1.05163i −0.807904 0.589313i \(-0.799398\pi\)
0.886713 0.462319i \(-0.152983\pi\)
\(432\) 37.7632 96.2190i 1.81688 4.62934i
\(433\) 28.1685 + 13.5652i 1.35369 + 0.651903i 0.963220 0.268712i \(-0.0865981\pi\)
0.390470 + 0.920615i \(0.372312\pi\)
\(434\) −0.195652 + 5.58842i −0.00939159 + 0.268253i
\(435\) 21.4135 10.3122i 1.02670 0.494432i
\(436\) 1.90450 + 25.4138i 0.0912091 + 1.21710i
\(437\) −12.2015 3.76365i −0.583675 0.180040i
\(438\) −6.17177 + 4.20784i −0.294898 + 0.201058i
\(439\) 2.86788 + 0.432263i 0.136876 + 0.0206308i 0.217123 0.976144i \(-0.430333\pi\)
−0.0802467 + 0.996775i \(0.525571\pi\)
\(440\) 65.0482 3.10105
\(441\) 7.63413 + 6.02820i 0.363530 + 0.287057i
\(442\) −6.55404 −0.311744
\(443\) 3.99297 + 0.601844i 0.189712 + 0.0285945i 0.243211 0.969973i \(-0.421799\pi\)
−0.0534990 + 0.998568i \(0.517037\pi\)
\(444\) 13.2988 9.06696i 0.631132 0.430299i
\(445\) −10.6662 3.29008i −0.505625 0.155965i
\(446\) 0.935627 + 12.4851i 0.0443032 + 0.591186i
\(447\) 1.86834 0.899747i 0.0883696 0.0425566i
\(448\) −122.976 32.6347i −5.81008 1.54185i
\(449\) 13.8263 + 6.65838i 0.652501 + 0.314228i 0.730689 0.682711i \(-0.239199\pi\)
−0.0781875 + 0.996939i \(0.524913\pi\)
\(450\) −10.5256 + 26.8189i −0.496184 + 1.26426i
\(451\) 0.787522 10.5088i 0.0370830 0.494838i
\(452\) 17.0505 + 43.4440i 0.801988 + 2.04343i
\(453\) 2.48580 0.766769i 0.116793 0.0360259i
\(454\) −34.7436 + 43.5671i −1.63060 + 2.04470i
\(455\) 9.30862 0.370715i 0.436395 0.0173794i
\(456\) 12.4066 + 15.5573i 0.580991 + 0.728540i
\(457\) 13.3854 + 9.12600i 0.626142 + 0.426896i 0.834386 0.551181i \(-0.185822\pi\)
−0.208244 + 0.978077i \(0.566775\pi\)
\(458\) −11.2593 10.4471i −0.526110 0.488159i
\(459\) 6.51390 11.2824i 0.304043 0.526618i
\(460\) 90.6210 + 156.960i 4.22523 + 7.31831i
\(461\) −5.80361 + 25.4273i −0.270301 + 1.18427i 0.639358 + 0.768909i \(0.279200\pi\)
−0.909659 + 0.415357i \(0.863657\pi\)
\(462\) 15.9993 + 1.76374i 0.744353 + 0.0820568i
\(463\) −4.12029 18.0522i −0.191486 0.838955i −0.975813 0.218607i \(-0.929849\pi\)
0.784327 0.620348i \(-0.213008\pi\)
\(464\) 72.3510 67.1319i 3.35881 3.11652i
\(465\) −3.33231 + 0.502264i −0.154532 + 0.0232920i
\(466\) 13.8847 2.09278i 0.643197 0.0969463i
\(467\) −25.8509 + 23.9861i −1.19624 + 1.10994i −0.204873 + 0.978789i \(0.565678\pi\)
−0.991362 + 0.131155i \(0.958131\pi\)
\(468\) 1.80997 + 7.93002i 0.0836661 + 0.366565i
\(469\) 1.89928 + 16.4999i 0.0877004 + 0.761896i
\(470\) −8.88488 + 38.9272i −0.409829 + 1.79558i
\(471\) 2.21284 + 3.83274i 0.101962 + 0.176603i
\(472\) 54.6473 94.6518i 2.51534 4.35670i
\(473\) −9.07788 8.42304i −0.417401 0.387292i
\(474\) 30.4744 + 20.7771i 1.39974 + 0.954325i
\(475\) −6.69790 8.39890i −0.307321 0.385368i
\(476\) −33.2319 14.4039i −1.52318 0.660203i
\(477\) −5.48531 + 6.87836i −0.251155 + 0.314938i
\(478\) −32.5153 + 10.0296i −1.48721 + 0.458745i
\(479\) −0.943468 2.40392i −0.0431081 0.109838i 0.907698 0.419624i \(-0.137838\pi\)
−0.950806 + 0.309786i \(0.899743\pi\)
\(480\) 10.1521 135.471i 0.463379 6.18336i
\(481\) −0.791642 + 2.01707i −0.0360957 + 0.0919705i
\(482\) 21.8095 + 10.5029i 0.993395 + 0.478394i
\(483\) 11.8717 + 27.0327i 0.540180 + 1.23003i
\(484\) 42.5774 20.5042i 1.93533 0.932008i
\(485\) −2.86356 38.2116i −0.130028 1.73510i
\(486\) −34.8957 10.7639i −1.58290 0.488261i
\(487\) 8.06999 5.50203i 0.365686 0.249321i −0.366510 0.930414i \(-0.619448\pi\)
0.732197 + 0.681093i \(0.238495\pi\)
\(488\) −48.1047 7.25062i −2.17760 0.328220i
\(489\) 15.9683 0.722114
\(490\) 64.4188 + 24.9257i 2.91014 + 1.12603i
\(491\) 4.84809 0.218791 0.109396 0.993998i \(-0.465108\pi\)
0.109396 + 0.993998i \(0.465108\pi\)
\(492\) −45.2467 6.81985i −2.03988 0.307462i
\(493\) 10.2782 7.00756i 0.462907 0.315604i
\(494\) −3.88842 1.19942i −0.174948 0.0539644i
\(495\) −0.625526 8.34707i −0.0281153 0.375173i
\(496\) −12.6085 + 6.07195i −0.566140 + 0.272639i
\(497\) −2.75277 2.35745i −0.123478 0.105746i
\(498\) 47.3092 + 22.7829i 2.11998 + 1.02093i
\(499\) 2.50833 6.39111i 0.112288 0.286105i −0.863672 0.504054i \(-0.831841\pi\)
0.975960 + 0.217949i \(0.0699365\pi\)
\(500\) −3.69387 + 49.2913i −0.165195 + 2.20437i
\(501\) −8.72385 22.2280i −0.389753 0.993075i
\(502\) 71.4411 22.0367i 3.18857 0.983544i
\(503\) 23.3967 29.3385i 1.04321 1.30814i 0.0932900 0.995639i \(-0.470262\pi\)
0.949917 0.312502i \(-0.101167\pi\)
\(504\) −7.28734 + 39.0279i −0.324604 + 1.73844i
\(505\) −10.6315 13.3315i −0.473098 0.593246i
\(506\) −34.8323 23.7483i −1.54848 1.05574i
\(507\) 0.930253 + 0.863148i 0.0413140 + 0.0383338i
\(508\) 9.80575 16.9841i 0.435060 0.753546i
\(509\) −19.3931 33.5899i −0.859586 1.48885i −0.872324 0.488928i \(-0.837388\pi\)
0.0127381 0.999919i \(-0.495945\pi\)
\(510\) 6.51668 28.5515i 0.288564 1.26428i
\(511\) 3.92009 3.93898i 0.173414 0.174250i
\(512\) −36.3572 159.291i −1.60678 7.03974i
\(513\) 5.92934 5.50162i 0.261787 0.242902i
\(514\) 39.8057 5.99974i 1.75575 0.264637i
\(515\) 58.7309 8.85226i 2.58799 0.390077i
\(516\) −39.4169 + 36.5735i −1.73523 + 1.61006i
\(517\) −1.54035 6.74872i −0.0677446 0.296808i
\(518\) −11.3331 + 11.3877i −0.497946 + 0.500346i
\(519\) −4.19986 + 18.4008i −0.184353 + 0.807705i
\(520\) 19.0120 + 32.9297i 0.833730 + 1.44406i
\(521\) −7.07342 + 12.2515i −0.309892 + 0.536749i −0.978339 0.207011i \(-0.933626\pi\)
0.668446 + 0.743760i \(0.266960\pi\)
\(522\) −15.1840 14.0887i −0.664587 0.616647i
\(523\) 0.472789 + 0.322342i 0.0206736 + 0.0140950i 0.573613 0.819127i \(-0.305541\pi\)
−0.552939 + 0.833222i \(0.686494\pi\)
\(524\) 3.99276 + 5.00676i 0.174424 + 0.218721i
\(525\) −4.55928 + 24.4176i −0.198983 + 1.06567i
\(526\) −6.23118 + 7.81365i −0.271692 + 0.340691i
\(527\) −1.68547 + 0.519898i −0.0734201 + 0.0226471i
\(528\) 14.7171 + 37.4985i 0.640478 + 1.63191i
\(529\) 4.05994 54.1762i 0.176519 2.35549i
\(530\) −22.8238 + 58.1542i −0.991404 + 2.52606i
\(531\) −12.6714 6.10220i −0.549890 0.264813i
\(532\) −17.0800 14.6272i −0.740512 0.634170i
\(533\) 5.55007 2.67277i 0.240400 0.115771i
\(534\) −0.842473 11.2420i −0.0364574 0.486490i
\(535\) −55.5731 17.1420i −2.40263 0.741114i
\(536\) −56.0110 + 38.1877i −2.41931 + 1.64946i
\(537\) 22.2246 + 3.34982i 0.959062 + 0.144555i
\(538\) 54.2027 2.33685
\(539\) −11.9371 + 0.952298i −0.514167 + 0.0410184i
\(540\) −114.811 −4.94066
\(541\) −31.2085 4.70392i −1.34176 0.202237i −0.561386 0.827554i \(-0.689732\pi\)
−0.780371 + 0.625316i \(0.784970\pi\)
\(542\) 65.2898 44.5138i 2.80444 1.91203i
\(543\) 3.52785 + 1.08820i 0.151394 + 0.0466990i
\(544\) −5.31362 70.9053i −0.227819 3.04004i
\(545\) 13.8123 6.65165i 0.591654 0.284925i
\(546\) 3.78332 + 8.61489i 0.161911 + 0.368683i
\(547\) −15.8033 7.61046i −0.675699 0.325400i 0.0643740 0.997926i \(-0.479495\pi\)
−0.740073 + 0.672526i \(0.765209\pi\)
\(548\) −36.7850 + 93.7266i −1.57138 + 4.00380i
\(549\) −0.467817 + 6.24258i −0.0199659 + 0.266427i
\(550\) −12.9579 33.0163i −0.552528 1.40782i
\(551\) 7.38032 2.27653i 0.314412 0.0969833i
\(552\) −75.1347 + 94.2160i −3.19795 + 4.01010i
\(553\) −25.1767 10.9125i −1.07062 0.464048i
\(554\) 29.4683 + 36.9520i 1.25199 + 1.56994i
\(555\) −7.99986 5.45421i −0.339575 0.231518i
\(556\) 40.2457 + 37.3425i 1.70680 + 1.58368i
\(557\) −5.92212 + 10.2574i −0.250928 + 0.434620i −0.963782 0.266693i \(-0.914069\pi\)
0.712853 + 0.701313i \(0.247402\pi\)
\(558\) 1.46848 + 2.54348i 0.0621656 + 0.107674i
\(559\) 1.61080 7.05739i 0.0681297 0.298496i
\(560\) 19.7677 + 171.731i 0.835336 + 7.25697i
\(561\) 1.12978 + 4.94990i 0.0476995 + 0.208985i
\(562\) −35.2630 + 32.7193i −1.48748 + 1.38018i
\(563\) 45.1442 6.80440i 1.90260 0.286771i 0.910630 0.413222i \(-0.135597\pi\)
0.991973 + 0.126451i \(0.0403586\pi\)
\(564\) −29.7214 + 4.47978i −1.25150 + 0.188633i
\(565\) 20.5799 19.0954i 0.865804 0.803349i
\(566\) −0.690518 3.02536i −0.0290246 0.127165i
\(567\) −7.62695 0.840789i −0.320302 0.0353098i
\(568\) 3.29169 14.4218i 0.138116 0.605126i
\(569\) 4.12240 + 7.14021i 0.172820 + 0.299333i 0.939405 0.342810i \(-0.111379\pi\)
−0.766585 + 0.642143i \(0.778045\pi\)
\(570\) 9.09130 15.7466i 0.380792 0.659552i
\(571\) 16.2457 + 15.0738i 0.679861 + 0.630818i 0.942551 0.334062i \(-0.108419\pi\)
−0.262691 + 0.964880i \(0.584610\pi\)
\(572\) −8.27359 5.64084i −0.345936 0.235855i
\(573\) −9.78647 12.2718i −0.408836 0.512664i
\(574\) 45.6377 1.81752i 1.90488 0.0758617i
\(575\) 40.5627 50.8641i 1.69158 2.12118i
\(576\) −63.8565 + 19.6971i −2.66069 + 0.820713i
\(577\) 9.10730 + 23.2050i 0.379142 + 0.966037i 0.985321 + 0.170710i \(0.0546060\pi\)
−0.606180 + 0.795328i \(0.707299\pi\)
\(578\) −2.41472 + 32.2223i −0.100439 + 1.34027i
\(579\) −3.38132 + 8.61546i −0.140523 + 0.358046i
\(580\) −98.7715 47.5659i −4.10126 1.97506i
\(581\) −37.7582 10.0201i −1.56647 0.415702i
\(582\) 34.8688 16.7919i 1.44536 0.696047i
\(583\) −0.809383 10.8005i −0.0335212 0.447310i
\(584\) 21.6745 + 6.68569i 0.896896 + 0.276656i
\(585\) 4.04275 2.75630i 0.167147 0.113959i
\(586\) −62.0498 9.35251i −2.56326 0.386349i
\(587\) 25.4830 1.05179 0.525897 0.850548i \(-0.323730\pi\)
0.525897 + 0.850548i \(0.323730\pi\)
\(588\) 0.249996 + 51.9959i 0.0103097 + 2.14428i
\(589\) −1.09511 −0.0451231
\(590\) −98.7538 14.8847i −4.06563 0.612795i
\(591\) 8.09301 5.51772i 0.332902 0.226969i
\(592\) −38.4213 11.8514i −1.57911 0.487090i
\(593\) 1.37184 + 18.3060i 0.0563348 + 0.751736i 0.951823 + 0.306649i \(0.0992079\pi\)
−0.895488 + 0.445086i \(0.853173\pi\)
\(594\) 24.0608 11.5870i 0.987225 0.475422i
\(595\) −0.762321 + 21.7742i −0.0312521 + 0.892657i
\(596\) −8.61788 4.15015i −0.353002 0.169997i
\(597\) 4.54153 11.5716i 0.185872 0.473595i
\(598\) 1.84159 24.5744i 0.0753083 1.00492i
\(599\) 4.17196 + 10.6300i 0.170462 + 0.434329i 0.990419 0.138096i \(-0.0440982\pi\)
−0.819957 + 0.572425i \(0.806003\pi\)
\(600\) −96.8804 + 29.8836i −3.95513 + 1.21999i
\(601\) 12.8483 16.1113i 0.524093 0.657192i −0.447379 0.894344i \(-0.647643\pi\)
0.971472 + 0.237152i \(0.0762141\pi\)
\(602\) 31.7678 43.2611i 1.29476 1.76319i
\(603\) 5.43891 + 6.82018i 0.221490 + 0.277739i
\(604\) −9.91408 6.75931i −0.403398 0.275032i
\(605\) −20.8389 19.3356i −0.847220 0.786105i
\(606\) 8.61098 14.9147i 0.349797 0.605866i
\(607\) 6.75695 + 11.7034i 0.274256 + 0.475026i 0.969947 0.243315i \(-0.0782350\pi\)
−0.695691 + 0.718341i \(0.744902\pi\)
\(608\) 9.82348 43.0395i 0.398395 1.74548i
\(609\) −15.1441 9.46495i −0.613669 0.383539i
\(610\) 9.89167 + 43.3383i 0.400502 + 1.75471i
\(611\) 2.96623 2.75226i 0.120001 0.111345i
\(612\) −18.8106 + 2.83525i −0.760375 + 0.114608i
\(613\) −24.1023 + 3.63284i −0.973483 + 0.146729i −0.616477 0.787373i \(-0.711441\pi\)
−0.357006 + 0.934102i \(0.616202\pi\)
\(614\) −41.5378 + 38.5415i −1.67633 + 1.55541i
\(615\) 6.12500 + 26.8354i 0.246984 + 1.08211i
\(616\) −26.1035 41.3226i −1.05174 1.66494i
\(617\) −3.36321 + 14.7352i −0.135398 + 0.593216i 0.861014 + 0.508581i \(0.169830\pi\)
−0.996412 + 0.0846352i \(0.973028\pi\)
\(618\) 29.9937 + 51.9506i 1.20652 + 2.08976i
\(619\) 8.65530 14.9914i 0.347886 0.602556i −0.637988 0.770046i \(-0.720233\pi\)
0.985874 + 0.167490i \(0.0535663\pi\)
\(620\) 11.3947 + 10.5727i 0.457621 + 0.424610i
\(621\) 40.4730 + 27.5941i 1.62413 + 1.10731i
\(622\) 8.20578 + 10.2897i 0.329022 + 0.412580i
\(623\) 2.19022 + 8.09611i 0.0877493 + 0.324364i
\(624\) −14.6816 + 18.4102i −0.587735 + 0.736996i
\(625\) −6.93467 + 2.13906i −0.277387 + 0.0855625i
\(626\) −14.7244 37.5172i −0.588507 1.49949i
\(627\) −0.235570 + 3.14346i −0.00940775 + 0.125538i
\(628\) 7.45798 19.0026i 0.297606 0.758288i
\(629\) −4.56583 2.19879i −0.182052 0.0876714i
\(630\) 35.6298 6.83028i 1.41953 0.272125i
\(631\) −37.3440 + 17.9839i −1.48664 + 0.715928i −0.988507 0.151173i \(-0.951695\pi\)
−0.498132 + 0.867101i \(0.665981\pi\)
\(632\) −8.36964 111.685i −0.332926 4.44259i
\(633\) −33.6858 10.3907i −1.33889 0.412993i
\(634\) 54.2895 37.0140i 2.15611 1.47001i
\(635\) −11.6655 1.75829i −0.462931 0.0697756i
\(636\) −47.0280 −1.86478
\(637\) −3.97100 5.76465i −0.157337 0.228404i
\(638\) 25.5000 1.00955
\(639\) −1.88228 0.283708i −0.0744619 0.0112233i
\(640\) −215.170 + 146.701i −8.50536 + 5.79885i
\(641\) −15.5772 4.80493i −0.615262 0.189783i −0.0285678 0.999592i \(-0.509095\pi\)
−0.586694 + 0.809809i \(0.699571\pi\)
\(642\) −4.38946 58.5733i −0.173238 2.31170i
\(643\) 1.49048 0.717779i 0.0587789 0.0283064i −0.404263 0.914643i \(-0.632472\pi\)
0.463042 + 0.886336i \(0.346758\pi\)
\(644\) 63.3451 120.555i 2.49615 4.75055i
\(645\) 29.1426 + 14.0343i 1.14749 + 0.552601i
\(646\) 3.47686 8.85890i 0.136795 0.348549i
\(647\) −1.35545 + 18.0873i −0.0532883 + 0.711083i 0.905024 + 0.425361i \(0.139853\pi\)
−0.958312 + 0.285723i \(0.907766\pi\)
\(648\) −11.4420 29.1536i −0.449482 1.14526i
\(649\) 16.5449 5.10342i 0.649444 0.200327i
\(650\) 12.9267 16.2096i 0.507028 0.635793i
\(651\) 1.65631 + 1.91533i 0.0649158 + 0.0750678i
\(652\) −45.9233 57.5860i −1.79850 2.25524i
\(653\) 28.9473 + 19.7359i 1.13279 + 0.772326i 0.976528 0.215389i \(-0.0691020\pi\)
0.156266 + 0.987715i \(0.450054\pi\)
\(654\) 11.3503 + 10.5315i 0.443831 + 0.411815i
\(655\) 1.92612 3.33614i 0.0752598 0.130354i
\(656\) 57.1528 + 98.9915i 2.23144 + 3.86497i
\(657\) 0.649487 2.84559i 0.0253389 0.111017i
\(658\) 28.2944 9.97706i 1.10303 0.388946i
\(659\) 1.88934 + 8.27773i 0.0735982 + 0.322455i 0.998303 0.0582297i \(-0.0185456\pi\)
−0.924705 + 0.380684i \(0.875688\pi\)
\(660\) 32.7997 30.4337i 1.27673 1.18463i
\(661\) −19.9834 + 3.01202i −0.777266 + 0.117154i −0.525682 0.850681i \(-0.676190\pi\)
−0.251584 + 0.967835i \(0.580952\pi\)
\(662\) −35.8179 + 5.39869i −1.39210 + 0.209826i
\(663\) −2.17561 + 2.01867i −0.0844936 + 0.0783986i
\(664\) −35.4803 155.450i −1.37690 6.03261i
\(665\) −4.43706 + 12.7788i −0.172062 + 0.495542i
\(666\) −1.87768 + 8.22666i −0.0727587 + 0.318777i
\(667\) 23.3868 + 40.5071i 0.905539 + 1.56844i
\(668\) −55.0711 + 95.3860i −2.13077 + 3.69059i
\(669\) 4.15603 + 3.85623i 0.160681 + 0.149091i
\(670\) 51.1808 + 34.8945i 1.97729 + 1.34809i
\(671\) −4.80504 6.02533i −0.185496 0.232605i
\(672\) −90.1334 + 47.9144i −3.47697 + 1.84834i
\(673\) 9.63778 12.0854i 0.371509 0.465858i −0.560573 0.828105i \(-0.689419\pi\)
0.932082 + 0.362247i \(0.117990\pi\)
\(674\) 11.5707 3.56908i 0.445686 0.137476i
\(675\) 15.0563 + 38.3629i 0.579519 + 1.47659i
\(676\) 0.437427 5.83706i 0.0168241 0.224502i
\(677\) −8.24238 + 21.0012i −0.316780 + 0.807143i 0.680452 + 0.732793i \(0.261784\pi\)
−0.997232 + 0.0743505i \(0.976312\pi\)
\(678\) 25.5467 + 12.3026i 0.981114 + 0.472479i
\(679\) −23.1253 + 17.1532i −0.887466 + 0.658281i
\(680\) −80.1210 + 38.5842i −3.07250 + 1.47964i
\(681\) 1.88572 + 25.1632i 0.0722609 + 0.964255i
\(682\) −3.45500 1.06573i −0.132299 0.0408088i
\(683\) 8.19813 5.58939i 0.313693 0.213872i −0.396231 0.918151i \(-0.629682\pi\)
0.709923 + 0.704279i \(0.248730\pi\)
\(684\) −11.6789 1.76032i −0.446555 0.0673074i
\(685\) 60.5678 2.31418
\(686\) −10.0165 50.9254i −0.382434 1.94434i
\(687\) −6.95523 −0.265359
\(688\) 132.822 + 20.0198i 5.06381 + 0.763247i
\(689\) 5.23101 3.56644i 0.199286 0.135871i
\(690\) 105.222 + 32.4568i 4.00575 + 1.23561i
\(691\) −1.87873 25.0699i −0.0714703 0.953705i −0.911536 0.411220i \(-0.865103\pi\)
0.840066 0.542485i \(-0.182516\pi\)
\(692\) 78.4364 37.7730i 2.98170 1.43591i
\(693\) −5.05156 + 3.74701i −0.191893 + 0.142337i
\(694\) 20.8960 + 10.0630i 0.793201 + 0.381985i
\(695\) 12.0657 30.7429i 0.457679 1.16615i
\(696\) 5.44716 72.6872i 0.206474 2.75520i
\(697\) 5.26341 + 13.4109i 0.199366 + 0.507976i
\(698\) 44.8519 13.8350i 1.69767 0.523662i
\(699\) 3.96443 4.97124i 0.149949 0.188030i
\(700\) 101.168 53.7805i 3.82380 2.03271i
\(701\) −17.7980 22.3180i −0.672221 0.842939i 0.322391 0.946607i \(-0.395514\pi\)
−0.994612 + 0.103668i \(0.966942\pi\)
\(702\) 12.8981 + 8.79380i 0.486809 + 0.331900i
\(703\) −2.30645 2.14008i −0.0869895 0.0807145i
\(704\) 41.1337 71.2457i 1.55029 2.68517i
\(705\) 9.04039 + 15.6584i 0.340481 + 0.589730i
\(706\) 8.37106 36.6760i 0.315049 1.38032i
\(707\) −4.20263 + 12.1037i −0.158056 + 0.455206i
\(708\) −16.7290 73.2944i −0.628713 2.75457i
\(709\) −3.46593 + 3.21591i −0.130166 + 0.120776i −0.742570 0.669769i \(-0.766393\pi\)
0.612404 + 0.790545i \(0.290203\pi\)
\(710\) −13.3661 + 2.01461i −0.501619 + 0.0756069i
\(711\) −14.2511 + 2.14801i −0.534457 + 0.0805565i
\(712\) −25.0944 + 23.2842i −0.940451 + 0.872611i
\(713\) −1.47576 6.46573i −0.0552677 0.242144i
\(714\) −20.7528 + 7.31775i −0.776653 + 0.273860i
\(715\) −1.34038 + 5.87261i −0.0501275 + 0.219623i
\(716\) −51.8353 89.7814i −1.93718 3.35529i
\(717\) −7.70425 + 13.3441i −0.287720 + 0.498346i
\(718\) −15.5299 14.4096i −0.579570 0.537763i
\(719\) 1.18169 + 0.805660i 0.0440694 + 0.0300460i 0.585154 0.810922i \(-0.301034\pi\)
−0.541085 + 0.840968i \(0.681986\pi\)
\(720\) 56.6082 + 70.9844i 2.10966 + 2.64543i
\(721\) −29.1919 33.7571i −1.08716 1.25718i
\(722\) −29.5141 + 37.0095i −1.09840 + 1.37735i
\(723\) 10.4746 3.23098i 0.389553 0.120161i
\(724\) −6.22140 15.8519i −0.231217 0.589130i
\(725\) −2.94074 + 39.2414i −0.109216 + 1.45739i
\(726\) 10.4895 26.7267i 0.389300 0.991921i
\(727\) −0.0276734 0.0133268i −0.00102635 0.000494264i 0.433370 0.901216i \(-0.357324\pi\)
−0.434397 + 0.900722i \(0.643038\pi\)
\(728\) 13.2896 25.2921i 0.492544 0.937387i
\(729\) −22.7378 + 10.9500i −0.842142 + 0.405554i
\(730\) −1.54887 20.6682i −0.0573261 0.764963i
\(731\) 16.1776 + 4.99014i 0.598351 + 0.184567i
\(732\) −27.6485 + 18.8504i −1.02192 + 0.696731i
\(733\) 21.6363 + 3.26114i 0.799154 + 0.120453i 0.535909 0.844276i \(-0.319969\pi\)
0.263245 + 0.964729i \(0.415207\pi\)
\(734\) −16.4164 −0.605941
\(735\) 29.0610 11.5671i 1.07193 0.426660i
\(736\) 267.352 9.85473
\(737\) −10.6192 1.60059i −0.391163 0.0589583i
\(738\) 19.8205 13.5134i 0.729604 0.497436i
\(739\) −20.2639 6.25060i −0.745421 0.229932i −0.101301 0.994856i \(-0.532300\pi\)
−0.644121 + 0.764924i \(0.722777\pi\)
\(740\) 3.33746 + 44.5353i 0.122687 + 1.63715i
\(741\) −1.66018 + 0.799501i −0.0609883 + 0.0293704i
\(742\) 46.1022 8.83786i 1.69247 0.324448i
\(743\) 15.3193 + 7.37741i 0.562012 + 0.270651i 0.693247 0.720701i \(-0.256180\pi\)
−0.131234 + 0.991351i \(0.541894\pi\)
\(744\) −3.77588 + 9.62077i −0.138430 + 0.352715i
\(745\) −0.429988 + 5.73779i −0.0157536 + 0.210217i
\(746\) −6.12453 15.6050i −0.224235 0.571341i
\(747\) −19.6063 + 6.04774i −0.717357 + 0.221275i
\(748\) 14.6015 18.3097i 0.533884 0.669469i
\(749\) 11.4115 + 42.1825i 0.416968 + 1.54131i
\(750\) 18.7241 + 23.4793i 0.683708 + 0.857342i
\(751\) 5.35731 + 3.65255i 0.195491 + 0.133284i 0.657110 0.753795i \(-0.271779\pi\)
−0.461619 + 0.887078i \(0.652731\pi\)
\(752\) 55.0407 + 51.0703i 2.00713 + 1.86234i
\(753\) 16.9274 29.3192i 0.616870 1.06845i
\(754\) 7.45300 + 12.9090i 0.271422 + 0.470117i
\(755\) −1.60616 + 7.03703i −0.0584540 + 0.256104i
\(756\) 46.0729 + 72.9348i 1.67566 + 2.65261i
\(757\) −10.6295 46.5708i −0.386335 1.69264i −0.677134 0.735860i \(-0.736778\pi\)
0.290799 0.956784i \(-0.406079\pi\)
\(758\) −29.4072 + 27.2859i −1.06812 + 0.991068i
\(759\) −18.8771 + 2.84526i −0.685195 + 0.103277i
\(760\) −54.5957 + 8.22898i −1.98039 + 0.298496i
\(761\) −22.7445 + 21.1038i −0.824486 + 0.765011i −0.974670 0.223647i \(-0.928204\pi\)
0.150185 + 0.988658i \(0.452013\pi\)
\(762\) −2.65135 11.6163i −0.0960484 0.420815i
\(763\) −9.76834 6.10515i −0.353638 0.221021i
\(764\) −16.1106 + 70.5851i −0.582861 + 2.55368i
\(765\) 5.72165 + 9.91019i 0.206867 + 0.358304i
\(766\) −14.4166 + 24.9703i −0.520894 + 0.902215i
\(767\) 7.41919 + 6.88400i 0.267891 + 0.248567i
\(768\) −116.475 79.4112i −4.20292 2.86550i
\(769\) 25.3733 + 31.8171i 0.914984 + 1.14735i 0.988675 + 0.150072i \(0.0479507\pi\)
−0.0736912 + 0.997281i \(0.523478\pi\)
\(770\) −26.4347 + 35.9985i −0.952640 + 1.29730i
\(771\) 11.3655 14.2519i 0.409319 0.513270i
\(772\) 40.7939 12.5833i 1.46820 0.452881i
\(773\) 9.44170 + 24.0571i 0.339594 + 0.865272i 0.994025 + 0.109151i \(0.0348131\pi\)
−0.654431