Properties

Label 503.2.c.a.2.20
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.20
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.102711 - 0.126460i) q^{2} +(0.592852 - 0.513119i) q^{3} +(0.404666 - 1.93152i) q^{4} +(-0.990176 - 3.12716i) q^{5} +(-0.125782 - 0.0222689i) q^{6} +(1.03743 - 3.01224i) q^{7} +(-0.575493 + 0.296411i) q^{8} +(-0.342141 + 2.36057i) q^{9} +O(q^{10})\) \(q+(-0.102711 - 0.126460i) q^{2} +(0.592852 - 0.513119i) q^{3} +(0.404666 - 1.93152i) q^{4} +(-0.990176 - 3.12716i) q^{5} +(-0.125782 - 0.0222689i) q^{6} +(1.03743 - 3.01224i) q^{7} +(-0.575493 + 0.296411i) q^{8} +(-0.342141 + 2.36057i) q^{9} +(-0.293759 + 0.446413i) q^{10} +(1.46065 - 0.472575i) q^{11} +(-0.751194 - 1.35275i) q^{12} +(-3.42690 + 1.15630i) q^{13} +(-0.487483 + 0.178198i) q^{14} +(-2.19163 - 1.34587i) q^{15} +(-3.51841 - 1.54194i) q^{16} +(5.57539 + 2.78390i) q^{17} +(0.333660 - 0.199190i) q^{18} +(0.0566778 + 0.127158i) q^{19} +(-6.44088 + 0.647092i) q^{20} +(-0.930592 - 2.31813i) q^{21} +(-0.209788 - 0.136176i) q^{22} +(-1.57844 + 5.45597i) q^{23} +(-0.189088 + 0.471024i) q^{24} +(-4.70993 + 3.31504i) q^{25} +(0.498208 + 0.314600i) q^{26} +(2.27673 + 3.55600i) q^{27} +(-5.39839 - 3.22277i) q^{28} +(1.13905 - 9.53428i) q^{29} +(0.0549075 + 0.415390i) q^{30} +(0.368961 + 4.52513i) q^{31} +(0.510598 + 1.85140i) q^{32} +(0.623465 - 1.02966i) q^{33} +(-0.220604 - 0.991003i) q^{34} +(-10.4470 - 0.261570i) q^{35} +(4.42104 + 1.61609i) q^{36} +(0.0478777 + 0.0604791i) q^{37} +(0.0102589 - 0.0202280i) q^{38} +(-1.43832 + 2.44392i) q^{39} +(1.49676 + 1.50616i) q^{40} +(0.653527 - 3.32628i) q^{41} +(-0.197569 + 0.355782i) q^{42} +(1.20796 - 6.58268i) q^{43} +(-0.321713 - 3.01252i) q^{44} +(7.72067 - 1.26745i) q^{45} +(0.852086 - 0.360780i) q^{46} +(6.01062 - 0.225798i) q^{47} +(-2.87709 + 0.891222i) q^{48} +(-2.48183 - 1.93957i) q^{49} +(0.902984 + 0.255126i) q^{50} +(4.73385 - 1.21040i) q^{51} +(0.846679 + 7.08705i) q^{52} +(5.36131 - 12.0282i) q^{53} +(0.215845 - 0.653157i) q^{54} +(-2.92413 - 4.09977i) q^{55} +(0.295826 + 2.04103i) q^{56} +(0.0988485 + 0.0463032i) q^{57} +(-1.32270 + 0.835236i) q^{58} +(3.66770 - 8.81558i) q^{59} +(-3.48645 + 3.68857i) q^{60} +(2.64808 + 4.37333i) q^{61} +(0.534352 - 0.511442i) q^{62} +(6.75565 + 3.47954i) q^{63} +(-4.27959 + 6.00020i) q^{64} +(7.00918 + 9.57153i) q^{65} +(-0.194247 + 0.0269141i) q^{66} +(-10.0225 + 6.15474i) q^{67} +(7.63334 - 9.64245i) q^{68} +(1.86378 + 4.04451i) q^{69} +(1.03995 + 1.34799i) q^{70} +(-1.17434 - 7.44466i) q^{71} +(-0.502799 - 1.45991i) q^{72} +(-4.75517 - 4.55129i) q^{73} +(0.00273061 - 0.0122665i) q^{74} +(-1.09128 + 4.38208i) q^{75} +(0.268544 - 0.0580182i) q^{76} +(0.0918198 - 4.89010i) q^{77} +(0.456791 - 0.0691286i) q^{78} +(0.594301 + 10.5404i) q^{79} +(-1.33804 + 12.5294i) q^{80} +(-3.68683 - 1.09167i) q^{81} +(-0.487766 + 0.259002i) q^{82} +(-3.66826 - 7.01389i) q^{83} +(-4.85411 + 0.859391i) q^{84} +(3.18510 - 20.1917i) q^{85} +(-0.956517 + 0.523358i) q^{86} +(-4.21693 - 6.23688i) q^{87} +(-0.700520 + 0.704918i) q^{88} +(2.06710 + 7.87866i) q^{89} +(-0.953283 - 0.846174i) q^{90} +(-0.0721087 + 11.5222i) q^{91} +(9.89959 + 5.25664i) q^{92} +(2.54067 + 2.49341i) q^{93} +(-0.645914 - 0.736911i) q^{94} +(0.341522 - 0.303149i) q^{95} +(1.25270 + 0.835609i) q^{96} +(-1.82367 - 7.73461i) q^{97} +(0.00963371 + 0.513068i) q^{98} +(0.615797 + 3.60967i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.102711 0.126460i −0.0726280 0.0894208i 0.738623 0.674118i \(-0.235476\pi\)
−0.811251 + 0.584697i \(0.801213\pi\)
\(3\) 0.592852 0.513119i 0.342283 0.296249i −0.466305 0.884624i \(-0.654415\pi\)
0.808588 + 0.588375i \(0.200232\pi\)
\(4\) 0.404666 1.93152i 0.202333 0.965762i
\(5\) −0.990176 3.12716i −0.442820 1.39851i −0.869422 0.494070i \(-0.835509\pi\)
0.426602 0.904440i \(-0.359711\pi\)
\(6\) −0.125782 0.0222689i −0.0513501 0.00909124i
\(7\) 1.03743 3.01224i 0.392112 1.13852i −0.558866 0.829258i \(-0.688763\pi\)
0.950978 0.309260i \(-0.100081\pi\)
\(8\) −0.575493 + 0.296411i −0.203467 + 0.104797i
\(9\) −0.342141 + 2.36057i −0.114047 + 0.786857i
\(10\) −0.293759 + 0.446413i −0.0928947 + 0.141168i
\(11\) 1.46065 0.472575i 0.440404 0.142487i −0.0792666 0.996853i \(-0.525258\pi\)
0.519671 + 0.854367i \(0.326055\pi\)
\(12\) −0.751194 1.35275i −0.216851 0.390505i
\(13\) −3.42690 + 1.15630i −0.950451 + 0.320701i −0.751816 0.659373i \(-0.770822\pi\)
−0.198634 + 0.980074i \(0.563651\pi\)
\(14\) −0.487483 + 0.178198i −0.130285 + 0.0476253i
\(15\) −2.19163 1.34587i −0.565877 0.347501i
\(16\) −3.51841 1.54194i −0.879602 0.385484i
\(17\) 5.57539 + 2.78390i 1.35223 + 0.675195i 0.968677 0.248323i \(-0.0798795\pi\)
0.383553 + 0.923519i \(0.374700\pi\)
\(18\) 0.333660 0.199190i 0.0786443 0.0469496i
\(19\) 0.0566778 + 0.127158i 0.0130028 + 0.0291720i 0.919761 0.392480i \(-0.128383\pi\)
−0.906758 + 0.421652i \(0.861450\pi\)
\(20\) −6.44088 + 0.647092i −1.44022 + 0.144694i
\(21\) −0.930592 2.31813i −0.203072 0.505858i
\(22\) −0.209788 0.136176i −0.0447269 0.0290327i
\(23\) −1.57844 + 5.45597i −0.329128 + 1.13765i 0.609520 + 0.792771i \(0.291362\pi\)
−0.938648 + 0.344877i \(0.887921\pi\)
\(24\) −0.189088 + 0.471024i −0.0385974 + 0.0961473i
\(25\) −4.70993 + 3.31504i −0.941987 + 0.663009i
\(26\) 0.498208 + 0.314600i 0.0977066 + 0.0616982i
\(27\) 2.27673 + 3.55600i 0.438158 + 0.684352i
\(28\) −5.39839 3.22277i −1.02020 0.609046i
\(29\) 1.13905 9.53428i 0.211515 1.77047i −0.344004 0.938968i \(-0.611784\pi\)
0.555520 0.831503i \(-0.312519\pi\)
\(30\) 0.0549075 + 0.415390i 0.0100247 + 0.0758395i
\(31\) 0.368961 + 4.52513i 0.0662673 + 0.812738i 0.943222 + 0.332164i \(0.107779\pi\)
−0.876954 + 0.480574i \(0.840428\pi\)
\(32\) 0.510598 + 1.85140i 0.0902618 + 0.327285i
\(33\) 0.623465 1.02966i 0.108531 0.179240i
\(34\) −0.220604 0.991003i −0.0378333 0.169956i
\(35\) −10.4470 0.261570i −1.76586 0.0442134i
\(36\) 4.42104 + 1.61609i 0.736841 + 0.269349i
\(37\) 0.0478777 + 0.0604791i 0.00787104 + 0.00994271i 0.787976 0.615706i \(-0.211129\pi\)
−0.780105 + 0.625649i \(0.784834\pi\)
\(38\) 0.0102589 0.0202280i 0.00166421 0.00328142i
\(39\) −1.43832 + 2.44392i −0.230316 + 0.391341i
\(40\) 1.49676 + 1.50616i 0.236659 + 0.238145i
\(41\) 0.653527 3.32628i 0.102064 0.519477i −0.895207 0.445650i \(-0.852973\pi\)
0.997271 0.0738275i \(-0.0235214\pi\)
\(42\) −0.197569 + 0.355782i −0.0304855 + 0.0548983i
\(43\) 1.20796 6.58268i 0.184212 1.00385i −0.753763 0.657146i \(-0.771763\pi\)
0.937975 0.346703i \(-0.112699\pi\)
\(44\) −0.321713 3.01252i −0.0485000 0.454155i
\(45\) 7.72067 1.26745i 1.15093 0.188940i
\(46\) 0.852086 0.360780i 0.125633 0.0531941i
\(47\) 6.01062 0.225798i 0.876739 0.0329361i 0.404634 0.914479i \(-0.367399\pi\)
0.472104 + 0.881543i \(0.343495\pi\)
\(48\) −2.87709 + 0.891222i −0.415272 + 0.128637i
\(49\) −2.48183 1.93957i −0.354547 0.277082i
\(50\) 0.902984 + 0.255126i 0.127701 + 0.0360802i
\(51\) 4.73385 1.21040i 0.662872 0.169489i
\(52\) 0.846679 + 7.08705i 0.117413 + 0.982797i
\(53\) 5.36131 12.0282i 0.736433 1.65220i −0.0214158 0.999771i \(-0.506817\pi\)
0.757849 0.652430i \(-0.226250\pi\)
\(54\) 0.215845 0.653157i 0.0293728 0.0888835i
\(55\) −2.92413 4.09977i −0.394289 0.552813i
\(56\) 0.295826 + 2.04103i 0.0395314 + 0.272744i
\(57\) 0.0988485 + 0.0463032i 0.0130928 + 0.00613301i
\(58\) −1.32270 + 0.835236i −0.173679 + 0.109672i
\(59\) 3.66770 8.81558i 0.477494 1.14769i −0.484542 0.874768i \(-0.661014\pi\)
0.962036 0.272922i \(-0.0879902\pi\)
\(60\) −3.48645 + 3.68857i −0.450099 + 0.476192i
\(61\) 2.64808 + 4.37333i 0.339052 + 0.559947i 0.977819 0.209454i \(-0.0671685\pi\)
−0.638766 + 0.769401i \(0.720555\pi\)
\(62\) 0.534352 0.511442i 0.0678627 0.0649531i
\(63\) 6.75565 + 3.47954i 0.851132 + 0.438380i
\(64\) −4.27959 + 6.00020i −0.534948 + 0.750025i
\(65\) 7.00918 + 9.57153i 0.869382 + 1.18720i
\(66\) −0.194247 + 0.0269141i −0.0239102 + 0.00331290i
\(67\) −10.0225 + 6.15474i −1.22444 + 0.751922i −0.976220 0.216781i \(-0.930444\pi\)
−0.248223 + 0.968703i \(0.579847\pi\)
\(68\) 7.63334 9.64245i 0.925679 1.16932i
\(69\) 1.86378 + 4.04451i 0.224372 + 0.486901i
\(70\) 1.03995 + 1.34799i 0.124297 + 0.161116i
\(71\) −1.17434 7.44466i −0.139369 0.883519i −0.953183 0.302394i \(-0.902214\pi\)
0.813814 0.581125i \(-0.197387\pi\)
\(72\) −0.502799 1.45991i −0.0592555 0.172052i
\(73\) −4.75517 4.55129i −0.556550 0.532688i 0.359819 0.933022i \(-0.382838\pi\)
−0.916369 + 0.400334i \(0.868894\pi\)
\(74\) 0.00273061 0.0122665i 0.000317427 0.00142595i
\(75\) −1.09128 + 4.38208i −0.126010 + 0.505999i
\(76\) 0.268544 0.0580182i 0.0308041 0.00665514i
\(77\) 0.0918198 4.89010i 0.0104638 0.557279i
\(78\) 0.456791 0.0691286i 0.0517214 0.00782727i
\(79\) 0.594301 + 10.5404i 0.0668641 + 1.18589i 0.836705 + 0.547654i \(0.184479\pi\)
−0.769840 + 0.638236i \(0.779664\pi\)
\(80\) −1.33804 + 12.5294i −0.149597 + 1.40083i
\(81\) −3.68683 1.09167i −0.409648 0.121297i
\(82\) −0.487766 + 0.259002i −0.0538648 + 0.0286020i
\(83\) −3.66826 7.01389i −0.402644 0.769874i 0.596828 0.802369i \(-0.296428\pi\)
−0.999472 + 0.0324952i \(0.989655\pi\)
\(84\) −4.85411 + 0.859391i −0.529627 + 0.0937673i
\(85\) 3.18510 20.1917i 0.345473 2.19010i
\(86\) −0.956517 + 0.523358i −0.103144 + 0.0564351i
\(87\) −4.21693 6.23688i −0.452103 0.668664i
\(88\) −0.700520 + 0.704918i −0.0746757 + 0.0751445i
\(89\) 2.06710 + 7.87866i 0.219113 + 0.835136i 0.982043 + 0.188656i \(0.0604132\pi\)
−0.762931 + 0.646480i \(0.776240\pi\)
\(90\) −0.953283 0.846174i −0.100485 0.0891946i
\(91\) −0.0721087 + 11.5222i −0.00755905 + 1.20786i
\(92\) 9.89959 + 5.25664i 1.03210 + 0.548043i
\(93\) 2.54067 + 2.49341i 0.263455 + 0.258555i
\(94\) −0.645914 0.736911i −0.0666209 0.0760065i
\(95\) 0.341522 0.303149i 0.0350394 0.0311025i
\(96\) 1.25270 + 0.835609i 0.127853 + 0.0852840i
\(97\) −1.82367 7.73461i −0.185166 0.785330i −0.983172 0.182681i \(-0.941522\pi\)
0.798006 0.602649i \(-0.205888\pi\)
\(98\) 0.00963371 + 0.513068i 0.000973152 + 0.0518277i
\(99\) 0.615797 + 3.60967i 0.0618900 + 0.362785i
\(100\) 4.49713 + 10.4388i 0.449713 + 1.04388i
\(101\) −9.16715 + 3.61361i −0.912165 + 0.359568i −0.775718 0.631079i \(-0.782612\pi\)
−0.136447 + 0.990647i \(0.543568\pi\)
\(102\) −0.639287 0.474322i −0.0632989 0.0469648i
\(103\) −1.06263 + 0.215695i −0.104704 + 0.0212531i −0.250993 0.967989i \(-0.580757\pi\)
0.146289 + 0.989242i \(0.453267\pi\)
\(104\) 1.62941 1.68122i 0.159777 0.164857i
\(105\) −6.32773 + 5.20547i −0.617524 + 0.508002i
\(106\) −2.07176 + 0.557442i −0.201227 + 0.0541435i
\(107\) 3.70818 + 0.139304i 0.358483 + 0.0134670i 0.216173 0.976355i \(-0.430643\pi\)
0.142310 + 0.989822i \(0.454547\pi\)
\(108\) 7.78981 2.95857i 0.749574 0.284689i
\(109\) 11.6019 + 12.2745i 1.11126 + 1.17568i 0.982936 + 0.183948i \(0.0588877\pi\)
0.128323 + 0.991732i \(0.459041\pi\)
\(110\) −0.218116 + 0.790879i −0.0207966 + 0.0754073i
\(111\) 0.0594173 + 0.0112882i 0.00563964 + 0.00107143i
\(112\) −8.29478 + 8.99863i −0.783783 + 0.850290i
\(113\) 7.87440 + 16.0203i 0.740761 + 1.50706i 0.857826 + 0.513940i \(0.171815\pi\)
−0.117065 + 0.993124i \(0.537349\pi\)
\(114\) −0.00429737 0.0172563i −0.000402486 0.00161620i
\(115\) 18.6246 0.466321i 1.73676 0.0434846i
\(116\) −17.9548 6.05829i −1.66706 0.562498i
\(117\) −1.55705 8.48505i −0.143950 0.784443i
\(118\) −1.49153 + 0.441643i −0.137307 + 0.0406565i
\(119\) 14.1698 13.9063i 1.29895 1.27479i
\(120\) 1.66020 + 0.124912i 0.151555 + 0.0114029i
\(121\) −7.00516 + 5.06280i −0.636833 + 0.460255i
\(122\) 0.281063 0.784067i 0.0254462 0.0709861i
\(123\) −1.31933 2.30733i −0.118960 0.208045i
\(124\) 8.88970 + 1.11851i 0.798319 + 0.100445i
\(125\) 1.98226 + 1.50958i 0.177299 + 0.135021i
\(126\) −0.253860 1.21171i −0.0226156 0.107947i
\(127\) 16.2338 9.14818i 1.44052 0.811769i 0.444071 0.895992i \(-0.353534\pi\)
0.996447 + 0.0842222i \(0.0268406\pi\)
\(128\) 5.03187 0.315314i 0.444759 0.0278701i
\(129\) −2.66155 4.52238i −0.234337 0.398173i
\(130\) 0.490492 1.86949i 0.0430190 0.163965i
\(131\) −4.52979 + 3.02159i −0.395770 + 0.263997i −0.736877 0.676027i \(-0.763700\pi\)
0.341107 + 0.940025i \(0.389198\pi\)
\(132\) −1.73651 1.62090i −0.151144 0.141082i
\(133\) 0.441828 0.0388098i 0.0383114 0.00336523i
\(134\) 1.80775 + 0.635283i 0.156166 + 0.0548801i
\(135\) 8.86581 10.6408i 0.763048 0.915813i
\(136\) −4.03378 + 0.0504906i −0.345893 + 0.00432953i
\(137\) 5.97351 + 15.4363i 0.510351 + 1.31881i 0.914674 + 0.404193i \(0.132448\pi\)
−0.404323 + 0.914616i \(0.632493\pi\)
\(138\) 0.320037 0.651110i 0.0272434 0.0554262i
\(139\) −5.57194 1.20380i −0.472606 0.102105i −0.0313918 0.999507i \(-0.509994\pi\)
−0.441214 + 0.897402i \(0.645452\pi\)
\(140\) −4.73277 + 20.0728i −0.399992 + 1.69646i
\(141\) 3.44754 3.21802i 0.290336 0.271007i
\(142\) −0.820834 + 0.913159i −0.0688828 + 0.0766306i
\(143\) −4.45908 + 3.30843i −0.372887 + 0.276665i
\(144\) 4.84364 7.77789i 0.403636 0.648158i
\(145\) −30.9431 + 5.87863i −2.56969 + 0.488194i
\(146\) −0.0871463 + 1.06881i −0.00721228 + 0.0884552i
\(147\) −2.46659 + 0.123593i −0.203441 + 0.0101938i
\(148\) 0.136191 0.0680030i 0.0111949 0.00558981i
\(149\) 1.29282 2.01924i 0.105912 0.165422i −0.785148 0.619309i \(-0.787413\pi\)
0.891060 + 0.453886i \(0.149963\pi\)
\(150\) 0.666246 0.312087i 0.0543987 0.0254818i
\(151\) 1.72791 + 2.62583i 0.140615 + 0.213687i 0.898807 0.438344i \(-0.144435\pi\)
−0.758192 + 0.652031i \(0.773917\pi\)
\(152\) −0.0703086 0.0563784i −0.00570278 0.00457289i
\(153\) −8.47916 + 12.2086i −0.685500 + 0.987008i
\(154\) −0.627833 + 0.490658i −0.0505923 + 0.0395383i
\(155\) 13.7855 5.63448i 1.10728 0.452572i
\(156\) 4.13845 + 3.76712i 0.331342 + 0.301611i
\(157\) 2.55172 5.35986i 0.203649 0.427763i −0.775376 0.631499i \(-0.782440\pi\)
0.979026 + 0.203736i \(0.0653084\pi\)
\(158\) 1.27190 1.15778i 0.101187 0.0921079i
\(159\) −2.99343 9.88193i −0.237394 0.783688i
\(160\) 5.28405 3.42994i 0.417741 0.271160i
\(161\) 14.7971 + 10.4148i 1.16618 + 0.820803i
\(162\) 0.240627 + 0.578364i 0.0189055 + 0.0454406i
\(163\) 14.1033 + 5.35646i 1.10466 + 0.419550i 0.838788 0.544459i \(-0.183265\pi\)
0.265871 + 0.964009i \(0.414341\pi\)
\(164\) −6.16033 2.60833i −0.481041 0.203677i
\(165\) −3.83724 0.930135i −0.298729 0.0724109i
\(166\) −0.510204 + 1.18429i −0.0395995 + 0.0919191i
\(167\) 0.371488 11.8683i 0.0287466 0.918393i −0.873410 0.486985i \(-0.838097\pi\)
0.902157 0.431408i \(-0.141983\pi\)
\(168\) 1.22267 + 1.05823i 0.0943310 + 0.0816444i
\(169\) 0.0641825 0.0488777i 0.00493711 0.00375983i
\(170\) −2.88059 + 1.67113i −0.220931 + 0.128170i
\(171\) −0.319556 + 0.0902862i −0.0244371 + 0.00690435i
\(172\) −12.2258 4.99698i −0.932207 0.381016i
\(173\) 7.45246 + 15.6538i 0.566600 + 1.19014i 0.962359 + 0.271782i \(0.0876130\pi\)
−0.395759 + 0.918354i \(0.629518\pi\)
\(174\) −0.355589 + 1.17387i −0.0269571 + 0.0889910i
\(175\) 5.09946 + 17.6266i 0.385483 + 1.33244i
\(176\) −5.86786 0.589523i −0.442307 0.0444370i
\(177\) −2.34903 7.10830i −0.176564 0.534292i
\(178\) 0.784021 1.07063i 0.0587648 0.0802475i
\(179\) −6.91715 + 12.8322i −0.517012 + 0.959124i 0.479648 + 0.877461i \(0.340764\pi\)
−0.996660 + 0.0816635i \(0.973977\pi\)
\(180\) 0.676180 15.4255i 0.0503995 1.14975i
\(181\) 0.374042 + 5.42494i 0.0278023 + 0.403233i 0.990947 + 0.134250i \(0.0428626\pi\)
−0.963145 + 0.268982i \(0.913313\pi\)
\(182\) 1.46451 1.17434i 0.108556 0.0870482i
\(183\) 3.81396 + 1.23395i 0.281936 + 0.0912165i
\(184\) −0.708826 3.60774i −0.0522553 0.265966i
\(185\) 0.141721 0.209606i 0.0104195 0.0154106i
\(186\) 0.0543612 0.577395i 0.00398595 0.0423366i
\(187\) 9.45932 + 1.43153i 0.691734 + 0.104684i
\(188\) 1.99616 11.7010i 0.145585 0.853385i
\(189\) 13.0735 3.16896i 0.950954 0.230508i
\(190\) −0.0734145 0.0120520i −0.00532604 0.000874341i
\(191\) 0.973089 17.2585i 0.0704102 1.24878i −0.743875 0.668319i \(-0.767014\pi\)
0.814285 0.580465i \(-0.197129\pi\)
\(192\) 0.541655 + 5.75316i 0.0390906 + 0.415199i
\(193\) −2.07017 1.13269i −0.149014 0.0815331i 0.403756 0.914867i \(-0.367704\pi\)
−0.552771 + 0.833333i \(0.686429\pi\)
\(194\) −0.790807 + 1.02505i −0.0567766 + 0.0735946i
\(195\) 9.06674 + 2.07795i 0.649282 + 0.148805i
\(196\) −4.75064 + 4.00883i −0.339331 + 0.286345i
\(197\) 16.6859 1.25544i 1.18882 0.0894463i 0.534171 0.845376i \(-0.320624\pi\)
0.654652 + 0.755930i \(0.272815\pi\)
\(198\) 0.393229 0.448628i 0.0279456 0.0318826i
\(199\) −0.0609903 9.74561i −0.00432349 0.690848i −0.940588 0.339551i \(-0.889725\pi\)
0.936264 0.351297i \(-0.114259\pi\)
\(200\) 1.72792 3.30386i 0.122182 0.233618i
\(201\) −2.78374 + 8.79158i −0.196350 + 0.620110i
\(202\) 1.39855 + 0.788119i 0.0984016 + 0.0554518i
\(203\) −27.5378 13.3222i −1.93278 0.935037i
\(204\) −0.422279 9.63335i −0.0295654 0.674469i
\(205\) −11.0489 + 1.24992i −0.771690 + 0.0872980i
\(206\) 0.136421 + 0.112226i 0.00950493 + 0.00781918i
\(207\) −12.3391 5.59273i −0.857630 0.388722i
\(208\) 13.8402 + 1.21571i 0.959644 + 0.0842942i
\(209\) 0.142878 + 0.158949i 0.00988310 + 0.0109947i
\(210\) 1.30822 + 0.265544i 0.0902754 + 0.0183243i
\(211\) −18.0351 + 12.3592i −1.24159 + 0.850843i −0.993040 0.117777i \(-0.962423\pi\)
−0.248547 + 0.968620i \(0.579953\pi\)
\(212\) −21.0632 15.2229i −1.44663 1.04551i
\(213\) −4.51621 3.81100i −0.309445 0.261126i
\(214\) −0.363256 0.483245i −0.0248317 0.0330339i
\(215\) −21.7812 + 2.74053i −1.48547 + 0.186902i
\(216\) −2.36428 1.37160i −0.160869 0.0933257i
\(217\) 14.0135 + 3.58311i 0.951301 + 0.243237i
\(218\) 0.360583 2.72790i 0.0244217 0.184757i
\(219\) −5.15446 0.258275i −0.348306 0.0174526i
\(220\) −9.10210 + 3.98898i −0.613664 + 0.268937i
\(221\) −22.3253 3.09331i −1.50176 0.208078i
\(222\) −0.00467533 0.00867335i −0.000313788 0.000582117i
\(223\) 3.04026 1.47081i 0.203591 0.0984931i −0.330905 0.943664i \(-0.607354\pi\)
0.534496 + 0.845171i \(0.320501\pi\)
\(224\) 6.10657 + 0.382658i 0.408012 + 0.0255674i
\(225\) −6.21393 12.2523i −0.414262 0.816823i
\(226\) 1.21714 2.64127i 0.0809629 0.175694i
\(227\) 9.14681 2.09630i 0.607095 0.139137i 0.0912636 0.995827i \(-0.470909\pi\)
0.515831 + 0.856690i \(0.327483\pi\)
\(228\) 0.129436 0.172191i 0.00857213 0.0114036i
\(229\) 11.8299 20.6888i 0.781740 1.36716i −0.144224 0.989545i \(-0.546069\pi\)
0.925965 0.377610i \(-0.123254\pi\)
\(230\) −1.97193 2.30738i −0.130025 0.152144i
\(231\) −2.45477 2.94622i −0.161512 0.193847i
\(232\) 2.17055 + 5.82454i 0.142504 + 0.382399i
\(233\) 14.6226 + 0.183031i 0.957962 + 0.0119908i 0.489967 0.871741i \(-0.337009\pi\)
0.467994 + 0.883732i \(0.344977\pi\)
\(234\) −0.913093 + 1.06842i −0.0596908 + 0.0698446i
\(235\) −6.65768 18.5726i −0.434299 1.21154i
\(236\) −15.5433 10.6516i −1.01178 0.693361i
\(237\) 5.76082 + 5.94396i 0.374206 + 0.386102i
\(238\) −3.21399 0.363585i −0.208332 0.0235677i
\(239\) −0.594781 + 8.62644i −0.0384732 + 0.557998i 0.938588 + 0.345040i \(0.112135\pi\)
−0.977061 + 0.212958i \(0.931690\pi\)
\(240\) 5.63582 + 8.11467i 0.363791 + 0.523799i
\(241\) −21.1757 6.55948i −1.36404 0.422534i −0.474852 0.880066i \(-0.657498\pi\)
−0.889193 + 0.457532i \(0.848733\pi\)
\(242\) 1.35975 + 0.365865i 0.0874082 + 0.0235187i
\(243\) −14.2833 + 6.47392i −0.916274 + 0.415302i
\(244\) 9.51877 3.34510i 0.609377 0.214148i
\(245\) −3.60791 + 9.68160i −0.230501 + 0.618535i
\(246\) −0.156274 + 0.403832i −0.00996368 + 0.0257474i
\(247\) −0.341262 0.370220i −0.0217140 0.0235565i
\(248\) −1.55363 2.49482i −0.0986558 0.158421i
\(249\) −5.77369 2.27594i −0.365893 0.144232i
\(250\) −0.0126997 0.405728i −0.000803198 0.0256605i
\(251\) 6.73637 8.29393i 0.425196 0.523508i −0.518163 0.855282i \(-0.673384\pi\)
0.943359 + 0.331774i \(0.107647\pi\)
\(252\) 9.45458 11.6406i 0.595583 0.733291i
\(253\) 0.272795 + 8.71522i 0.0171505 + 0.547921i
\(254\) −2.82428 1.11331i −0.177211 0.0698551i
\(255\) −8.47245 13.6050i −0.530565 0.851980i
\(256\) 9.43360 + 10.2341i 0.589600 + 0.639630i
\(257\) −5.83718 + 15.0840i −0.364114 + 0.940914i 0.623190 + 0.782070i \(0.285836\pi\)
−0.987304 + 0.158843i \(0.949224\pi\)
\(258\) −0.298528 + 0.801080i −0.0185855 + 0.0498731i
\(259\) 0.231847 0.0814760i 0.0144063 0.00506267i
\(260\) 21.3240 9.66513i 1.32246 0.599406i
\(261\) 22.1166 + 5.95086i 1.36898 + 0.368349i
\(262\) 0.847372 + 0.262486i 0.0523508 + 0.0162164i
\(263\) 11.1167 + 16.0062i 0.685484 + 0.986985i 0.999297 + 0.0375002i \(0.0119395\pi\)
−0.313812 + 0.949485i \(0.601606\pi\)
\(264\) −0.0535980 + 0.777362i −0.00329873 + 0.0478433i
\(265\) −42.9228 4.85567i −2.63673 0.298281i
\(266\) −0.0502887 0.0518874i −0.00308340 0.00318142i
\(267\) 5.26817 + 3.61021i 0.322407 + 0.220941i
\(268\) 7.83227 + 21.8493i 0.478432 + 1.33466i
\(269\) −0.849725 + 0.994270i −0.0518086 + 0.0606217i −0.785503 0.618858i \(-0.787595\pi\)
0.733694 + 0.679480i \(0.237795\pi\)
\(270\) −2.25625 0.0282414i −0.137311 0.00171872i
\(271\) −5.49163 14.7364i −0.333593 0.895175i −0.990038 0.140801i \(-0.955032\pi\)
0.656445 0.754374i \(-0.272059\pi\)
\(272\) −15.3239 18.3918i −0.929148 1.11517i
\(273\) 5.86951 + 6.86796i 0.355239 + 0.415668i
\(274\) 1.33852 2.34089i 0.0808632 0.141418i
\(275\) −5.31298 + 7.06793i −0.320385 + 0.426212i
\(276\) 8.56627 1.96325i 0.515629 0.118174i
\(277\) −6.84723 + 14.8589i −0.411410 + 0.892785i 0.585229 + 0.810868i \(0.301005\pi\)
−0.996639 + 0.0819170i \(0.973896\pi\)
\(278\) 0.420069 + 0.828273i 0.0251941 + 0.0496765i
\(279\) −10.8081 0.677273i −0.647066 0.0405473i
\(280\) 6.08970 2.94607i 0.363929 0.176061i
\(281\) 10.0237 + 18.5954i 0.597967 + 1.10931i 0.982512 + 0.186200i \(0.0596172\pi\)
−0.384545 + 0.923106i \(0.625642\pi\)
\(282\) −0.761054 0.105449i −0.0453201 0.00627937i
\(283\) −26.9004 + 11.7891i −1.59907 + 0.700787i −0.995342 0.0964064i \(-0.969265\pi\)
−0.603724 + 0.797194i \(0.706317\pi\)
\(284\) −14.8548 0.744328i −0.881467 0.0441678i
\(285\) 0.0469202 0.354964i 0.00277931 0.0210262i
\(286\) 0.876382 + 0.224082i 0.0518216 + 0.0132502i
\(287\) −9.34155 5.41936i −0.551414 0.319895i
\(288\) −4.54506 + 0.571863i −0.267820 + 0.0336973i
\(289\) 13.1201 + 17.4538i 0.771768 + 1.02669i
\(290\) 3.92162 + 3.30926i 0.230286 + 0.194327i
\(291\) −5.04994 3.64971i −0.296033 0.213950i
\(292\) −10.7152 + 7.34297i −0.627058 + 0.429715i
\(293\) 17.4494 + 3.54190i 1.01940 + 0.206920i 0.679605 0.733578i \(-0.262151\pi\)
0.339798 + 0.940498i \(0.389641\pi\)
\(294\) 0.268976 + 0.299230i 0.0156870 + 0.0174515i
\(295\) −31.1994 2.74053i −1.81650 0.159560i
\(296\) −0.0454799 0.0206138i −0.00264347 0.00119816i
\(297\) 5.00600 + 4.11816i 0.290477 + 0.238960i
\(298\) −0.388140 + 0.0439086i −0.0224843 + 0.00254356i
\(299\) −0.899593 20.5222i −0.0520248 1.18683i
\(300\) 8.02249 + 3.88112i 0.463179 + 0.224076i
\(301\) −18.5754 10.4677i −1.07067 0.603350i
\(302\) 0.154587 0.488214i 0.00889546 0.0280935i
\(303\) −3.58055 + 6.84617i −0.205697 + 0.393302i
\(304\) −0.00334682 0.534786i −0.000191953 0.0306721i
\(305\) 11.0540 12.6114i 0.632953 0.722124i
\(306\) 2.41481 0.181689i 0.138045 0.0103864i
\(307\) 10.3235 8.71147i 0.589192 0.497190i −0.300481 0.953788i \(-0.597147\pi\)
0.889673 + 0.456598i \(0.150932\pi\)
\(308\) −9.40819 2.15621i −0.536081 0.122861i
\(309\) −0.519307 + 0.673132i −0.0295423 + 0.0382932i
\(310\) −2.12846 1.16459i −0.120889 0.0661442i
\(311\) −1.98407 21.0737i −0.112506 1.19498i −0.852632 0.522513i \(-0.824995\pi\)
0.740125 0.672469i \(-0.234766\pi\)
\(312\) 0.103338 1.83279i 0.00585039 0.103762i
\(313\) 12.8560 + 2.11048i 0.726662 + 0.119291i 0.513946 0.857823i \(-0.328183\pi\)
0.212716 + 0.977114i \(0.431769\pi\)
\(314\) −0.939899 + 0.227828i −0.0530416 + 0.0128571i
\(315\) 4.19180 24.5714i 0.236181 1.38444i
\(316\) 20.5996 + 3.11744i 1.15882 + 0.175370i
\(317\) 0.982746 10.4382i 0.0551965 0.586268i −0.923867 0.382713i \(-0.874990\pi\)
0.979064 0.203554i \(-0.0652493\pi\)
\(318\) −0.942210 + 1.39354i −0.0528365 + 0.0781457i
\(319\) −2.84191 14.4646i −0.159116 0.809861i
\(320\) 23.0011 + 7.44171i 1.28580 + 0.416004i
\(321\) 2.26988 1.82015i 0.126692 0.101591i
\(322\) −0.202776 2.94097i −0.0113002 0.163894i
\(323\) −0.0379936 + 0.866739i −0.00211402 + 0.0482266i
\(324\) −3.60052 + 6.67944i −0.200029 + 0.371080i
\(325\) 12.3073 16.8064i 0.682684 0.932253i
\(326\) −0.771196 2.33368i −0.0427126 0.129250i
\(327\) 13.1765 + 1.32379i 0.728659 + 0.0732058i
\(328\) 0.609846 + 2.10796i 0.0336731 + 0.116393i
\(329\) 5.55544 18.3396i 0.306281 1.01110i
\(330\) 0.276504 + 0.580793i 0.0152210 + 0.0319716i
\(331\) −1.49639 0.611612i −0.0822490 0.0336173i 0.336845 0.941560i \(-0.390640\pi\)
−0.419094 + 0.907943i \(0.637652\pi\)
\(332\) −15.0319 + 4.24705i −0.824983 + 0.233087i
\(333\) −0.159146 + 0.0923262i −0.00872115 + 0.00505945i
\(334\) −1.53902 + 1.17203i −0.0842112 + 0.0641305i
\(335\) 29.1709 + 25.2477i 1.59378 + 1.37943i
\(336\) −0.300209 + 9.59106i −0.0163778 + 0.523235i
\(337\) −3.26084 + 7.56912i −0.177629 + 0.412316i −0.983776 0.179399i \(-0.942585\pi\)
0.806147 + 0.591715i \(0.201549\pi\)
\(338\) −0.0127734 0.00309622i −0.000694779 0.000168412i
\(339\) 12.8887 + 5.45717i 0.700017 + 0.296393i
\(340\) −37.7119 14.3230i −2.04521 0.776773i
\(341\) 2.67739 + 6.43529i 0.144989 + 0.348491i
\(342\) 0.0442397 + 0.0311377i 0.00239221 + 0.00168373i
\(343\) 10.2887 6.67850i 0.555537 0.360605i
\(344\) 1.25601 + 4.14634i 0.0677193 + 0.223555i
\(345\) 10.8024 9.83311i 0.581580 0.529397i
\(346\) 1.21413 2.55026i 0.0652719 0.137103i
\(347\) 8.79124 + 8.00243i 0.471938 + 0.429593i 0.873931 0.486050i \(-0.161563\pi\)
−0.401993 + 0.915643i \(0.631682\pi\)
\(348\) −13.7531 + 5.62125i −0.737245 + 0.301331i
\(349\) −3.78358 + 2.95690i −0.202530 + 0.158279i −0.711930 0.702251i \(-0.752178\pi\)
0.509399 + 0.860530i \(0.329868\pi\)
\(350\) 1.70528 2.45533i 0.0911511 0.131243i
\(351\) −11.9139 9.55344i −0.635919 0.509925i
\(352\) 1.62073 + 2.46296i 0.0863854 + 0.131276i
\(353\) 24.0888 11.2838i 1.28212 0.600576i 0.341447 0.939901i \(-0.389083\pi\)
0.940669 + 0.339325i \(0.110199\pi\)
\(354\) −0.657643 + 1.02716i −0.0349533 + 0.0545931i
\(355\) −22.1179 + 11.0439i −1.17389 + 0.586149i
\(356\) 16.0543 0.804435i 0.850877 0.0426350i
\(357\) 1.26504 15.5152i 0.0669533 0.821150i
\(358\) 2.33323 0.443272i 0.123315 0.0234277i
\(359\) 2.21904 3.56333i 0.117117 0.188065i −0.785075 0.619401i \(-0.787376\pi\)
0.902192 + 0.431335i \(0.141957\pi\)
\(360\) −4.06750 + 3.01790i −0.214376 + 0.159057i
\(361\) 12.6887 14.1159i 0.667828 0.742944i
\(362\) 0.647620 0.604505i 0.0340381 0.0317721i
\(363\) −1.55520 + 6.59597i −0.0816269 + 0.346199i
\(364\) 22.2262 + 4.80193i 1.16497 + 0.251689i
\(365\) −9.52418 + 19.3768i −0.498518 + 1.01423i
\(366\) −0.235691 0.609054i −0.0123198 0.0318358i
\(367\) −35.8226 + 0.448390i −1.86992 + 0.0234058i −0.939400 0.342823i \(-0.888617\pi\)
−0.930525 + 0.366229i \(0.880649\pi\)
\(368\) 13.9664 16.7625i 0.728046 0.873804i
\(369\) 7.62832 + 2.68075i 0.397114 + 0.139554i
\(370\) −0.0410632 + 0.00360695i −0.00213477 + 0.000187516i
\(371\) −30.6698 28.6280i −1.59230 1.48629i
\(372\) 5.84420 3.89836i 0.303008 0.202121i
\(373\) −7.03400 + 26.8097i −0.364207 + 1.38816i 0.491582 + 0.870831i \(0.336419\pi\)
−0.855789 + 0.517325i \(0.826928\pi\)
\(374\) −0.790549 1.34326i −0.0408783 0.0694584i
\(375\) 1.94978 0.122180i 0.100686 0.00630933i
\(376\) −3.39214 + 1.91156i −0.174936 + 0.0985811i
\(377\) 7.12113 + 33.9901i 0.366757 + 1.75058i
\(378\) −1.74354 1.32778i −0.0896780 0.0682937i
\(379\) 2.28120 + 0.287022i 0.117177 + 0.0147433i 0.183207 0.983074i \(-0.441352\pi\)
−0.0660301 + 0.997818i \(0.521033\pi\)
\(380\) −0.447338 0.782331i −0.0229479 0.0401328i
\(381\) 4.93014 13.7534i 0.252579 0.704607i
\(382\) −2.28246 + 1.64959i −0.116781 + 0.0844005i
\(383\) −14.0269 1.05537i −0.716739 0.0539269i −0.288355 0.957524i \(-0.593108\pi\)
−0.428384 + 0.903597i \(0.640917\pi\)
\(384\) 2.82136 2.76888i 0.143977 0.141299i
\(385\) −15.3831 + 4.55493i −0.783993 + 0.232141i
\(386\) 0.0693898 + 0.378135i 0.00353185 + 0.0192465i
\(387\) 15.1256 + 5.10367i 0.768876 + 0.259434i
\(388\) −15.6775 + 0.392532i −0.795907 + 0.0199278i
\(389\) 0.0451726 + 0.181392i 0.00229034 + 0.00919696i 0.971497 0.237051i \(-0.0761808\pi\)
−0.969207 + 0.246248i \(0.920802\pi\)
\(390\) −0.668480 1.36001i −0.0338498 0.0688668i
\(391\) −23.9893 + 26.0249i −1.21319 + 1.31614i
\(392\) 2.00318 + 0.380569i 0.101176 + 0.0192216i
\(393\) −1.13506 + 4.11567i −0.0572563 + 0.207608i
\(394\) −1.87260 1.98116i −0.0943402 0.0998092i
\(395\) 32.3732 12.2954i 1.62887 0.618647i
\(396\) 7.22135 + 0.271281i 0.362886 + 0.0136324i
\(397\) 27.2475 7.33142i 1.36751 0.367954i 0.500284 0.865861i \(-0.333229\pi\)
0.867230 + 0.497908i \(0.165898\pi\)
\(398\) −1.22617 + 1.00870i −0.0614621 + 0.0505615i
\(399\) 0.242025 0.249719i 0.0121164 0.0125016i
\(400\) 21.6831 4.40126i 1.08415 0.220063i
\(401\) −8.28895 6.15002i −0.413931 0.307117i 0.368764 0.929523i \(-0.379781\pi\)
−0.782695 + 0.622406i \(0.786155\pi\)
\(402\) 1.39771 0.550964i 0.0697112 0.0274796i
\(403\) −6.49682 15.0805i −0.323630 0.751215i
\(404\) 3.27015 + 19.1689i 0.162696 + 0.953687i
\(405\) 0.236779 + 12.6103i 0.0117656 + 0.626610i
\(406\) 1.14372 + 4.85078i 0.0567619 + 0.240740i
\(407\) 0.0985137 + 0.0657133i 0.00488314 + 0.00325729i
\(408\) −2.36552 + 2.09974i −0.117111 + 0.103953i
\(409\) 14.8206 + 16.9086i 0.732834 + 0.836077i 0.991529 0.129882i \(-0.0414599\pi\)
−0.258695 + 0.965959i \(0.583293\pi\)
\(410\) 1.29292 + 1.26887i 0.0638525 + 0.0626649i
\(411\) 11.4620 + 6.08630i 0.565381 + 0.300215i
\(412\) −0.0133913 + 2.13979i −0.000659741 + 0.105420i
\(413\) −22.7496 20.1935i −1.11944 0.993658i
\(414\) 0.560114 + 2.13485i 0.0275281 + 0.104922i
\(415\) −18.3013 + 18.4162i −0.898378 + 0.904017i
\(416\) −3.89055 5.75416i −0.190750 0.282121i
\(417\) −3.92103 + 2.14539i −0.192014 + 0.105060i
\(418\) 0.00542546 0.0343943i 0.000265368 0.00168228i
\(419\) −24.2206 + 4.28812i −1.18326 + 0.209488i −0.730986 0.682393i \(-0.760939\pi\)
−0.452270 + 0.891881i \(0.649386\pi\)
\(420\) 7.49388 + 14.3286i 0.365664 + 0.699166i
\(421\) −28.0771 + 14.9088i −1.36840 + 0.726613i −0.980763 0.195201i \(-0.937464\pi\)
−0.387632 + 0.921814i \(0.626707\pi\)
\(422\) 3.41536 + 1.01129i 0.166257 + 0.0492287i
\(423\) −1.52346 + 14.2657i −0.0740733 + 0.693624i
\(424\) 0.479893 + 8.51130i 0.0233056 + 0.413345i
\(425\) −35.4885 + 5.37066i −1.72144 + 0.260515i
\(426\) −0.0180735 + 0.962553i −0.000875666 + 0.0466358i
\(427\) 15.9207 3.43963i 0.770456 0.166455i
\(428\) 1.76964 7.10607i 0.0855389 0.343485i
\(429\) −0.945955 + 4.24944i −0.0456711 + 0.205165i
\(430\) 2.58375 + 2.47297i 0.124599 + 0.119257i
\(431\) 10.6153 + 30.8220i 0.511319 + 1.48464i 0.841255 + 0.540639i \(0.181817\pi\)
−0.329936 + 0.944003i \(0.607027\pi\)
\(432\) −2.52736 16.0220i −0.121598 0.770860i
\(433\) −2.28224 2.95828i −0.109678 0.142166i 0.733727 0.679444i \(-0.237779\pi\)
−0.843405 + 0.537279i \(0.819452\pi\)
\(434\) −0.986230 2.14018i −0.0473406 0.102732i
\(435\) −15.3282 + 19.3626i −0.734933 + 0.928368i
\(436\) 28.4033 17.4423i 1.36027 0.835333i
\(437\) −0.783231 + 0.108521i −0.0374670 + 0.00519128i
\(438\) 0.496761 + 0.678361i 0.0237361 + 0.0324134i
\(439\) 14.9320 20.9355i 0.712666 0.999195i −0.286488 0.958084i \(-0.592488\pi\)
0.999155 0.0411112i \(-0.0130898\pi\)
\(440\) 2.89803 + 1.49265i 0.138158 + 0.0711592i
\(441\) 5.42763 5.19492i 0.258459 0.247377i
\(442\) 1.90189 + 3.14098i 0.0904636 + 0.149401i
\(443\) −12.0615 + 12.7607i −0.573059 + 0.606280i −0.947024 0.321163i \(-0.895926\pi\)
0.373965 + 0.927443i \(0.377998\pi\)
\(444\) 0.0458476 0.110198i 0.00217583 0.00522977i
\(445\) 22.5911 14.2654i 1.07092 0.676246i
\(446\) −0.498269 0.233402i −0.0235937 0.0110519i
\(447\) −0.269657 1.86048i −0.0127544 0.0879975i
\(448\) 13.6342 + 19.1159i 0.644157 + 0.903142i
\(449\) −3.47860 + 10.5264i −0.164165 + 0.496772i −0.998516 0.0544619i \(-0.982656\pi\)
0.834351 + 0.551234i \(0.185843\pi\)
\(450\) −0.911189 + 2.04427i −0.0429539 + 0.0963678i
\(451\) −0.617340 5.16739i −0.0290694 0.243323i
\(452\) 34.1301 8.72671i 1.60535 0.410470i
\(453\) 2.37175 + 0.670105i 0.111435 + 0.0314843i
\(454\) −1.20458 0.941391i −0.0565338 0.0441817i
\(455\) 36.1032 11.1835i 1.69255 0.524292i
\(456\) −0.0706114 + 0.00265263i −0.00330668 + 0.000124221i
\(457\) −8.36723 + 3.54275i −0.391402 + 0.165723i −0.576693 0.816961i \(-0.695657\pi\)
0.185291 + 0.982684i \(0.440677\pi\)
\(458\) −3.83137 + 0.628971i −0.179028 + 0.0293899i
\(459\) 2.79413 + 26.1643i 0.130419 + 1.22124i
\(460\) 6.63604 36.1626i 0.309407 1.68609i
\(461\) −3.70858 + 6.67840i −0.172726 + 0.311044i −0.946667 0.322213i \(-0.895573\pi\)
0.773942 + 0.633257i \(0.218282\pi\)
\(462\) −0.120446 + 0.613040i −0.00560367 + 0.0285212i
\(463\) 24.1587 + 24.3103i 1.12275 + 1.12980i 0.990348 + 0.138600i \(0.0442601\pi\)
0.132399 + 0.991196i \(0.457732\pi\)
\(464\) −18.7089 + 31.7892i −0.868538 + 1.47577i
\(465\) 5.28159 10.4140i 0.244928 0.482938i
\(466\) −1.47877 1.86798i −0.0685026 0.0865325i
\(467\) 25.5456 + 9.33810i 1.18211 + 0.432116i 0.857874 0.513860i \(-0.171785\pi\)
0.324237 + 0.945976i \(0.394893\pi\)
\(468\) −17.0192 0.426123i −0.786711 0.0196976i
\(469\) 8.14190 + 36.5752i 0.375958 + 1.68889i
\(470\) −1.66487 + 2.74955i −0.0767948 + 0.126827i
\(471\) −1.23745 4.48694i −0.0570188 0.206747i
\(472\) 0.502298 + 6.16045i 0.0231201 + 0.283558i
\(473\) −1.34640 10.1859i −0.0619075 0.468347i
\(474\) 0.159972 1.33903i 0.00734773 0.0615035i
\(475\) −0.688482 0.411015i −0.0315897 0.0188586i
\(476\) −21.1263 32.9968i −0.968321 1.51241i
\(477\) 26.5591 + 16.7711i 1.21606 + 0.767896i
\(478\) 1.15199 0.810818i 0.0526908 0.0370859i
\(479\) 6.53881 16.2884i 0.298766 0.744234i −0.700759 0.713398i \(-0.747155\pi\)
0.999524 0.0308362i \(-0.00981703\pi\)
\(480\) 1.37269 4.74479i 0.0626547 0.216569i
\(481\) −0.234004 0.151895i −0.0106697 0.00692580i
\(482\) 1.34547 + 3.35161i 0.0612845 + 0.152662i
\(483\) 14.1165 1.41824i 0.642325 0.0645321i
\(484\) 6.94417 + 15.5794i 0.315644 + 0.708153i
\(485\) −22.3816 + 13.3615i −1.01630 + 0.606716i
\(486\) 2.28575 + 1.14132i 0.103684 + 0.0517714i
\(487\) −4.02839 1.76543i −0.182544 0.0799994i 0.308124 0.951346i \(-0.400299\pi\)
−0.490668 + 0.871347i \(0.663247\pi\)
\(488\) −2.82025 1.73190i −0.127667 0.0783993i
\(489\) 11.1097 4.06110i 0.502397 0.183649i
\(490\) 1.59491 0.538154i 0.0720507 0.0243113i
\(491\) −8.06488 14.5232i −0.363963 0.655424i 0.628522 0.777792i \(-0.283660\pi\)
−0.992485 + 0.122368i \(0.960951\pi\)
\(492\) −4.99054 + 1.61462i −0.224991 + 0.0727928i
\(493\) 32.8931 49.9863i 1.48143 2.25127i
\(494\) −0.0117665 + 0.0811818i −0.000529399 + 0.00365254i
\(495\) 10.6783 5.49990i 0.479952 0.247202i
\(496\) 5.67931 16.4902i 0.255008 0.740431i
\(497\) −23.6434 4.18592i −1.06055 0.187764i
\(498\) 0.305209 + 0.963906i 0.0136767 + 0.0431937i
\(499\) 2.50732 11.9678i 0.112243 0.535750i −0.885258 0.465100i \(-0.846018\pi\)
0.997501 0.0706505i \(-0.0225075\pi\)
\(500\) 3.71794 3.21791i 0.166271 0.143909i
\(501\) −5.86959 7.22673i −0.262234 0.322867i
\(502\) −1.74075 −0.0776936
\(503\) −20.6155 + 8.83176i −0.919201 + 0.393789i
\(504\) −4.91920 −0.219119
\(505\) 20.3775 + 25.0891i 0.906785 + 1.11645i
\(506\) 1.07411 0.929650i 0.0477499 0.0413280i
\(507\) 0.0129706 0.0619105i 0.000576045 0.00274954i
\(508\) −11.1006 35.0579i −0.492512 1.55544i
\(509\) −18.9227 3.35015i −0.838735 0.148493i −0.261635 0.965167i \(-0.584262\pi\)
−0.577100 + 0.816674i \(0.695816\pi\)
\(510\) −0.850274 + 2.46882i −0.0376508 + 0.109321i
\(511\) −18.6427 + 9.60204i −0.824705 + 0.424769i
\(512\) 1.77165 12.2233i 0.0782965 0.540200i
\(513\) −0.323132 + 0.491050i −0.0142666 + 0.0216804i
\(514\) 2.50707 0.811128i 0.110582 0.0357773i
\(515\) 1.72671 + 3.10945i 0.0760879 + 0.137019i
\(516\) −9.81212 + 3.31080i −0.431954 + 0.145750i
\(517\) 8.67273 3.17028i 0.381426 0.139429i
\(518\) −0.0341168 0.0209509i −0.00149901 0.000920529i
\(519\) 12.4505 + 5.45639i 0.546514 + 0.239509i
\(520\) −6.87084 3.43075i −0.301306 0.150448i
\(521\) −36.7801 + 21.9572i −1.61136 + 0.961964i −0.628462 + 0.777840i \(0.716315\pi\)
−0.982903 + 0.184124i \(0.941055\pi\)
\(522\) −1.51908 3.40809i −0.0664885 0.149168i
\(523\) 13.3624 1.34248i 0.584299 0.0587024i 0.196592 0.980485i \(-0.437012\pi\)
0.387706 + 0.921783i \(0.373267\pi\)
\(524\) 4.00321 + 9.97213i 0.174881 + 0.435635i
\(525\) 12.0677 + 7.83330i 0.526679 + 0.341873i
\(526\) 0.882335 3.04984i 0.0384716 0.132979i
\(527\) −10.5404 + 26.2565i −0.459148 + 1.14375i
\(528\) −3.78127 + 2.66141i −0.164559 + 0.115823i
\(529\) −7.82883 4.94362i −0.340384 0.214940i
\(530\) 3.79461 + 5.92675i 0.164828 + 0.257442i
\(531\) 19.5549 + 11.6740i 0.848611 + 0.506610i
\(532\) 0.103831 0.869106i 0.00450164 0.0376805i
\(533\) 1.60662 + 12.1545i 0.0695904 + 0.526470i
\(534\) −0.0845547 1.03702i −0.00365904 0.0448764i
\(535\) −3.23613 11.7340i −0.139910 0.507306i
\(536\) 3.94354 6.51279i 0.170335 0.281310i
\(537\) 2.48360 + 11.1569i 0.107175 + 0.481456i
\(538\) 0.213012 + 0.00533336i 0.00918359 + 0.000229937i
\(539\) −4.54169 1.66020i −0.195624 0.0715097i
\(540\) −16.9652 21.4305i −0.730067 0.922221i
\(541\) −11.0649 + 21.8173i −0.475718 + 0.937999i 0.520724 + 0.853725i \(0.325662\pi\)
−0.996443 + 0.0842743i \(0.973143\pi\)
\(542\) −1.29952 + 2.20807i −0.0558191 + 0.0948449i
\(543\) 3.00539 + 3.02426i 0.128974 + 0.129783i
\(544\) −2.30734 + 11.7437i −0.0989263 + 0.503509i
\(545\) 26.8963 48.4349i 1.15211 2.07472i
\(546\) 0.265657 1.44768i 0.0113691 0.0619549i
\(547\) −1.56017 14.6094i −0.0667080 0.624655i −0.977375 0.211514i \(-0.932161\pi\)
0.910667 0.413141i \(-0.135568\pi\)
\(548\) 32.2328 5.29144i 1.37692 0.226039i
\(549\) −11.2296 + 4.75469i −0.479266 + 0.202925i
\(550\) 1.43951 0.0540776i 0.0613811 0.00230588i
\(551\) 1.27692 0.395544i 0.0543984 0.0168507i
\(552\) −2.27143 1.77514i −0.0966783 0.0755550i
\(553\) 32.3668 + 9.14478i 1.37638 + 0.388876i
\(554\) 2.58235 0.660279i 0.109713 0.0280525i
\(555\) −0.0235335 0.196985i −0.000998941 0.00836155i
\(556\) −4.57995 + 10.2752i −0.194233 + 0.435766i
\(557\) 4.96771 15.0325i 0.210489 0.636949i −0.789250 0.614073i \(-0.789530\pi\)
0.999738 0.0228768i \(-0.00728254\pi\)
\(558\) 1.02447 + 1.43636i 0.0433693 + 0.0608060i
\(559\) 3.47203 + 23.9549i 0.146851 + 1.01319i
\(560\) 36.3535 + 17.0289i 1.53621 + 0.719602i
\(561\) 6.34252 4.00507i 0.267781 0.169094i
\(562\) 1.32202 3.17756i 0.0557659 0.134037i
\(563\) −22.3392 + 23.6342i −0.941485 + 0.996064i −0.999998 0.00222282i \(-0.999292\pi\)
0.0585128 + 0.998287i \(0.481364\pi\)
\(564\) −4.82059 7.96124i −0.202983 0.335228i
\(565\) 42.3011 40.4875i 1.77962 1.70332i
\(566\) 4.25383 + 2.19096i 0.178802 + 0.0920929i
\(567\) −7.11320 + 9.97308i −0.298726 + 0.418830i
\(568\) 2.88250 + 3.93626i 0.120947 + 0.165162i
\(569\) 28.1414 3.89915i 1.17975 0.163461i 0.479618 0.877477i \(-0.340775\pi\)
0.700129 + 0.714016i \(0.253126\pi\)
\(570\) −0.0497080 + 0.0305253i −0.00208204 + 0.00127856i
\(571\) −3.90386 + 4.93135i −0.163371 + 0.206371i −0.858922 0.512106i \(-0.828866\pi\)
0.695551 + 0.718477i \(0.255160\pi\)
\(572\) 4.58587 + 9.95162i 0.191745 + 0.416098i
\(573\) −8.27878 10.7311i −0.345851 0.448297i
\(574\) 0.274151 + 1.73796i 0.0114429 + 0.0725412i
\(575\) −10.6524 30.9298i −0.444236 1.28986i
\(576\) −12.6997 12.1552i −0.529153 0.506466i
\(577\) −5.02697 + 22.5823i −0.209276 + 0.940114i 0.750834 + 0.660491i \(0.229652\pi\)
−0.960110 + 0.279623i \(0.909791\pi\)
\(578\) 0.859627 3.45187i 0.0357558 0.143579i
\(579\) −1.80851 + 0.390724i −0.0751592 + 0.0162380i
\(580\) −1.16690 + 62.1462i −0.0484528 + 2.58048i
\(581\) −24.9330 + 3.77325i −1.03440 + 0.156541i
\(582\) 0.0571432 + 1.01348i 0.00236866 + 0.0420102i
\(583\) 2.14680 20.1027i 0.0889114 0.832568i
\(584\) 4.08562 + 1.20975i 0.169064 + 0.0500599i
\(585\) −24.9924 + 13.2709i −1.03331 + 0.548683i
\(586\) −1.34434 2.57044i −0.0555342 0.106184i
\(587\) 16.9539 3.00159i 0.699763 0.123889i 0.186925 0.982374i \(-0.440148\pi\)
0.512838 + 0.858485i \(0.328594\pi\)
\(588\) −0.759420 + 4.81428i −0.0313179 + 0.198538i
\(589\) −0.554493 + 0.303391i −0.0228475 + 0.0125010i
\(590\) 2.85797 + 4.22696i 0.117661 + 0.174021i
\(591\) 9.24810 9.30615i 0.380416 0.382804i
\(592\) −0.0751983 0.286615i −0.00309063 0.0117798i
\(593\) 28.3099 + 25.1291i 1.16255 + 1.03193i 0.998969 + 0.0453973i \(0.0144554\pi\)
0.163579 + 0.986530i \(0.447696\pi\)
\(594\) 0.00660895 1.05604i 0.000271168 0.0433299i
\(595\) −57.5179 30.5418i −2.35800 1.25209i
\(596\) −3.37704 3.31423i −0.138329 0.135756i
\(597\) −5.03681 5.74640i −0.206143 0.235185i
\(598\) −2.50284 + 2.22163i −0.102349 + 0.0908491i
\(599\) −14.4761 9.65625i −0.591477 0.394544i 0.222932 0.974834i \(-0.428437\pi\)
−0.814410 + 0.580290i \(0.802939\pi\)
\(600\) −0.670873 2.84533i −0.0273883 0.116160i
\(601\) 0.0687109 + 3.65938i 0.00280278 + 0.149269i 0.998436 + 0.0559136i \(0.0178071\pi\)
−0.995633 + 0.0933555i \(0.970241\pi\)
\(602\) 0.584158 + 3.42420i 0.0238085 + 0.139560i
\(603\) −11.0996 25.7646i −0.452011 1.04922i
\(604\) 5.77107 2.27491i 0.234822 0.0925647i
\(605\) 22.7685 + 16.8932i 0.925673 + 0.686807i
\(606\) 1.23353 0.250384i 0.0501088 0.0101712i
\(607\) −4.58693 + 4.73275i −0.186178 + 0.192096i −0.804719 0.593656i \(-0.797684\pi\)
0.618541 + 0.785752i \(0.287724\pi\)
\(608\) −0.206480 + 0.169860i −0.00837388 + 0.00688873i
\(609\) −23.1617 + 6.23207i −0.938560 + 0.252536i
\(610\) −2.73021 0.102565i −0.110543 0.00415272i
\(611\) −20.3367 + 7.72389i −0.822734 + 0.312475i
\(612\) 20.1500 + 21.3181i 0.814515 + 0.861734i
\(613\) 0.785202 2.84710i 0.0317140 0.114993i −0.946437 0.322888i \(-0.895346\pi\)
0.978151 + 0.207895i \(0.0666611\pi\)
\(614\) −2.16199 0.410740i −0.0872509 0.0165761i
\(615\) −5.90902 + 6.41042i −0.238275 + 0.258493i
\(616\) 1.39664 + 2.84143i 0.0562721 + 0.114485i
\(617\) −4.72605 18.9777i −0.190264 0.764012i −0.987139 0.159867i \(-0.948893\pi\)
0.796875 0.604145i \(-0.206485\pi\)
\(618\) 0.138463 0.00346682i 0.00556980 0.000139456i
\(619\) −11.7503 3.96478i −0.472284 0.159358i 0.0734805 0.997297i \(-0.476589\pi\)
−0.545764 + 0.837939i \(0.683761\pi\)
\(620\) −5.30461 28.9071i −0.213038 1.16094i
\(621\) −22.9951 + 6.80885i −0.922761 + 0.273230i
\(622\) −2.46120 + 2.41542i −0.0986851 + 0.0968495i
\(623\) 25.8769 + 1.94696i 1.03673 + 0.0780032i
\(624\) 8.82898 6.38092i 0.353442 0.255441i
\(625\) −6.95975 + 19.4153i −0.278390 + 0.776611i
\(626\) −1.05356 1.84254i −0.0421089 0.0736426i
\(627\) 0.166265 + 0.0209196i 0.00664000 + 0.000835450i
\(628\) −9.32010 7.09766i −0.371913 0.283227i
\(629\) 0.0985687 + 0.470481i 0.00393019 + 0.0187593i
\(630\) −3.53784 + 1.99367i −0.140951 + 0.0794295i
\(631\) −48.3788 + 3.03158i −1.92593 + 0.120685i −0.979400 0.201929i \(-0.935279\pi\)
−0.946530 + 0.322615i \(0.895438\pi\)
\(632\) −3.46631 5.88978i −0.137883 0.234283i
\(633\) −4.35040 + 16.5813i −0.172913 + 0.659048i
\(634\) −1.42095 + 0.947844i −0.0564333 + 0.0376437i
\(635\) −44.6822 41.7075i −1.77316 1.65511i
\(636\) −20.2985 + 1.78300i −0.804889 + 0.0707006i
\(637\) 10.7477 + 3.77697i 0.425840 + 0.149649i
\(638\) −1.53729 + 1.84507i −0.0608621 + 0.0730469i
\(639\) 17.9754 0.224998i 0.711097 0.00890077i
\(640\) −5.96847 15.4233i −0.235925 0.609658i
\(641\) −17.7740 + 36.1609i −0.702031 + 1.42827i 0.192514 + 0.981294i \(0.438336\pi\)
−0.894546 + 0.446976i \(0.852501\pi\)
\(642\) −0.463319 0.100099i −0.0182857 0.00395059i
\(643\) −1.79505 + 7.61322i −0.0707899 + 0.300236i −0.997060 0.0766240i \(-0.975586\pi\)
0.926270 + 0.376860i \(0.122996\pi\)
\(644\) 26.1044 24.3665i 1.02866 0.960174i
\(645\) −11.5068 + 12.8011i −0.453080 + 0.504042i
\(646\) 0.113510 0.0842193i 0.00446600 0.00331357i
\(647\) 10.5480 16.9379i 0.414683 0.665896i −0.573494 0.819209i \(-0.694413\pi\)
0.988178 + 0.153313i \(0.0489943\pi\)
\(648\) 2.44533 0.464569i 0.0960616 0.0182500i
\(649\) 1.19122 14.6098i 0.0467596 0.573484i
\(650\) −3.38944 + 0.169835i −0.132945 + 0.00666147i
\(651\) 10.1465 5.06635i 0.397673 0.198566i
\(652\) 16.0533 25.0734i 0.628694 0.981948i
\(653\) −6.26122 + 2.93292i −0.245020 + 0.114774i −0.542804 0.839860i \(-0.682637\pi\)
0.297783 + 0.954634i \(0.403753\pi\)
\(654\) −1.18597 1.80226i −0.0463749 0.0704741i
\(655\) 13.9343 + 11.1735i 0.544458 + 0.436585i
\(656\) −7.42828 + 10.6955i −0.290026 + 0.417590i
\(657\) 12.3706 9.66772i 0.482622 0.377174i
\(658\) −2.88984 + 1.18115i −0.112658 + 0.0460460i
\(659\) −0.601234 0.547288i −0.0234208 0.0213193i 0.661357 0.750072i \(-0.269981\pi\)
−0.684777 + 0.728752i \(0.740101\pi\)
\(660\) −3.34938 + 7.03533i −0.130374 + 0.273850i
\(661\) −31.4878 + 28.6625i −1.22473 + 1.11484i −0.234989 + 0.971998i \(0.575506\pi\)
−0.989745 + 0.142845i \(0.954375\pi\)
\(662\) 0.0763518 + 0.252053i 0.00296750 + 0.00979632i
\(663\) −14.8228 + 9.62167i −0.575672 + 0.373675i
\(664\) 4.19005 + 2.94913i 0.162606 + 0.114448i
\(665\) −0.558852 1.34324i −0.0216714 0.0520886i
\(666\) 0.0280217 + 0.0106427i 0.00108582 + 0.000412395i
\(667\) 50.2208 + 21.2639i 1.94456 + 0.823342i
\(668\) −22.7735 5.52021i −0.881133 0.213584i
\(669\) 1.04772 2.43199i 0.0405072 0.0940262i
\(670\) 0.196639 6.28219i 0.00759681 0.242702i
\(671\) 5.93466 + 5.13650i 0.229105 + 0.198293i
\(672\) 3.81664 2.90653i 0.147230 0.112122i
\(673\) 9.22665 5.35271i 0.355661 0.206332i −0.313255 0.949669i \(-0.601420\pi\)
0.668917 + 0.743337i \(0.266758\pi\)
\(674\) 1.29212 0.365069i 0.0497705 0.0140619i
\(675\) −22.5115 9.20104i −0.866470 0.354148i
\(676\) −0.0684360 0.143749i −0.00263215 0.00552881i
\(677\) −1.46491 + 4.83598i −0.0563011 + 0.185862i −0.980682 0.195610i \(-0.937331\pi\)
0.924381 + 0.381471i \(0.124582\pi\)
\(678\) −0.633700 2.19042i −0.0243371 0.0841224i
\(679\) −25.1904 2.53079i −0.966718 0.0971227i
\(680\) 4.15204 + 12.5643i 0.159223 + 0.481818i
\(681\) 4.34705 5.93620i 0.166579 0.227476i
\(682\) 0.538809 0.999561i 0.0206321 0.0382752i
\(683\) 1.54376 35.2175i 0.0590705 1.34756i −0.708098 0.706114i \(-0.750446\pi\)
0.767168 0.641446i \(-0.221665\pi\)
\(684\) 0.0450763 + 0.653766i 0.00172354 + 0.0249974i
\(685\) 42.3569 33.9648i 1.61837 1.29773i
\(686\) −1.90133 0.615149i −0.0725931 0.0234865i
\(687\) −3.60245 18.3355i −0.137442 0.699544i
\(688\) −14.4002 + 21.2980i −0.549001 + 0.811977i
\(689\) −4.46443 + 47.4187i −0.170081 + 1.80651i
\(690\) −2.35302 0.356095i −0.0895780 0.0135563i
\(691\) 3.72947 21.8613i 0.141876 0.831645i −0.822825 0.568295i \(-0.807603\pi\)
0.964701 0.263349i \(-0.0848271\pi\)
\(692\) 33.2514 8.06003i 1.26403 0.306397i
\(693\) 11.5120 + 1.88985i 0.437305 + 0.0717894i
\(694\) 0.109027 1.93368i 0.00413860 0.0734015i
\(695\) 1.75271 + 18.6164i 0.0664841 + 0.706159i
\(696\) 4.27549 + 2.33933i 0.162062 + 0.0886723i
\(697\) 12.9037 16.7259i 0.488763 0.633540i
\(698\) 0.762547 + 0.174764i 0.0288628 + 0.00661491i
\(699\) 8.76298 7.39464i 0.331446 0.279691i
\(700\) 36.1097 2.71687i 1.36482 0.102688i
\(701\) 23.5949 26.9190i 0.891169 1.01672i −0.108575 0.994088i \(-0.534629\pi\)
0.999744 0.0226296i \(-0.00720385\pi\)
\(702\) 0.0155698 + 2.48789i 0.000587643 + 0.0938992i
\(703\) −0.00497678 + 0.00951584i −0.000187703 + 0.000358897i
\(704\) −3.41545 + 10.7866i −0.128725 + 0.406537i
\(705\) −13.4770 7.59462i −0.507572 0.286030i
\(706\) −3.90114 1.88729i −0.146821 0.0710292i
\(707\) 1.37478 + 31.3625i 0.0517039 + 1.17951i
\(708\) −14.6804 + 1.66073i −0.551724 + 0.0624141i
\(709\) −0.143430 0.117992i −0.00538662 0.00443127i 0.632603 0.774476i \(-0.281987\pi\)
−0.637989 + 0.770045i \(0.720234\pi\)
\(710\) 3.66837 + 1.66269i 0.137671 + 0.0623997i
\(711\) −25.0848 2.20342i −0.940752 0.0826347i
\(712\) −3.52493 3.92140i −0.132102 0.146961i
\(713\) −25.2713 5.12962i −0.946419 0.192106i
\(714\) −2.09198 + 1.43361i −0.0782906 + 0.0536515i
\(715\) 14.7613 + 10.6683i 0.552040 + 0.398973i
\(716\) 21.9866 + 18.5534i 0.821677 + 0.693373i
\(717\) 4.07377 + 5.41939i 0.152138 + 0.202391i
\(718\) −0.678540 + 0.0853744i −0.0253229 + 0.00318614i
\(719\) −24.5523 14.2437i −0.915647 0.531199i −0.0320702 0.999486i \(-0.510210\pi\)
−0.883576 + 0.468287i \(0.844871\pi\)
\(720\) −29.1188 7.44536i −1.08519 0.277472i
\(721\) −0.452684 + 3.42467i −0.0168588 + 0.127541i
\(722\) −3.08838 0.154750i −0.114938 0.00575919i
\(723\) −15.9198 + 6.97683i −0.592065 + 0.259471i
\(724\) 10.6298 + 1.47282i 0.395052 + 0.0547368i
\(725\) 26.2417 + 48.6818i 0.974593 + 1.80800i
\(726\) 0.993863 0.480811i 0.0368857 0.0178446i
\(727\) 13.6900 + 0.857864i 0.507736 + 0.0318164i 0.314351 0.949307i \(-0.398213\pi\)
0.193384 + 0.981123i \(0.438054\pi\)
\(728\) −3.37381 6.65233i −0.125042 0.246552i
\(729\) −0.318313 + 0.690758i −0.0117894 + 0.0255836i
\(730\) 3.42863 0.785788i 0.126899 0.0290833i
\(731\) 25.0604 33.3382i 0.926891 1.23306i
\(732\) 3.92679 6.86741i 0.145138 0.253827i
\(733\) −24.6705 28.8672i −0.911227 1.06623i −0.997549 0.0699666i \(-0.977711\pi\)
0.0863225 0.996267i \(-0.472488\pi\)
\(734\) 3.73609 + 4.48407i 0.137902 + 0.165510i
\(735\) 2.82885 + 7.59104i 0.104344 + 0.280000i
\(736\) −10.9071 0.136524i −0.402042 0.00503235i
\(737\) −11.7308 + 13.7263i −0.432111 + 0.505616i
\(738\) −0.444507 1.24002i −0.0163625 0.0456458i
\(739\) −11.3640 7.78762i −0.418033 0.286472i 0.337824 0.941209i \(-0.390309\pi\)
−0.755857 + 0.654737i \(0.772779\pi\)
\(740\) −0.347510 0.358558i −0.0127747 0.0131808i
\(741\) −0.392284 0.0443774i −0.0144109 0.00163025i
\(742\) −0.470155 + 6.81892i −0.0172599 + 0.250331i
\(743\) −16.2821 23.4436i −0.597332 0.860061i 0.401100 0.916034i \(-0.368628\pi\)
−0.998432 + 0.0559732i \(0.982174\pi\)
\(744\) −2.20121 0.681858i −0.0807003 0.0249981i
\(745\) −7.59460 2.04346i −0.278245 0.0748665i
\(746\) 4.11283 1.86415i 0.150582 0.0682513i
\(747\) 17.8118 6.25945i 0.651701 0.229021i
\(748\) 6.59290 17.6916i 0.241060 0.646869i
\(749\) 4.26659 11.0254i 0.155898 0.402859i
\(750\) −0.215716 0.234020i −0.00787682 0.00854520i
\(751\) −21.5016 34.5272i −0.784604 1.25991i −0.961260 0.275642i \(-0.911110\pi\)
0.176656 0.984273i \(-0.443472\pi\)
\(752\) −21.4960 8.47353i −0.783878 0.308998i
\(753\) −0.262103 8.37363i −0.00955155 0.305152i
\(754\) 3.56697 4.39171i 0.129901 0.159937i
\(755\) 6.50046 8.00347i 0.236576 0.291276i
\(756\) −0.830542 26.5341i −0.0302065 0.965034i
\(757\) −49.7259 19.6016i −1.80732 0.712431i −0.990837 0.135061i \(-0.956877\pi\)
−0.816483 0.577369i \(-0.804079\pi\)
\(758\) −0.198008 0.317961i −0.00719198 0.0115488i
\(759\) 4.63367 + 5.02685i 0.168191 + 0.182463i
\(760\) −0.106687 + 0.275691i −0.00386993 + 0.0100004i
\(761\) −14.0169 + 37.6135i −0.508114 + 1.36349i 0.388815 + 0.921316i \(0.372884\pi\)
−0.896929 + 0.442174i \(0.854207\pi\)
\(762\) −2.24564 + 0.789164i −0.0813508 + 0.0285884i
\(763\) 49.0097 22.2137i 1.77427 0.804191i
\(764\) −32.9415 8.86349i −1.19178 0.320670i
\(765\) 46.5742 + 14.4271i 1.68389 + 0.521611i
\(766\) 1.30726 + 1.88224i 0.0472331 + 0.0680079i
\(767\) −2.37535 + 34.4511i −0.0857691 + 1.24396i
\(768\) 10.8440 + 1.22674i 0.391300 + 0.0442661i
\(769\) −8.98664 9.27233i −0.324067 0.334369i 0.536316 0.844017i \(-0.319815\pi\)
−0.860383 + 0.509648i \(0.829776\pi\)
\(770\) 2.15603 + 1.47750i 0.0776980 + 0.0532454i
\(771\) 4.27929 + 11.9377i 0.154115 + 0.429927i
\(772\) −3.02555 + 3.54022i