Properties

Label 224.2.u.c.85.3
Level $224$
Weight $2$
Character 224.85
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.u (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 85.3
Character \(\chi\) \(=\) 224.85
Dual form 224.2.u.c.29.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.03545 - 0.963248i) q^{2} +(2.47594 - 1.02557i) q^{3} +(0.144306 + 1.99479i) q^{4} +(-1.23251 + 2.97553i) q^{5} +(-3.55158 - 1.32302i) q^{6} +(0.707107 + 0.707107i) q^{7} +(1.77205 - 2.20450i) q^{8} +(2.95715 - 2.95715i) q^{9} +O(q^{10})\) \(q+(-1.03545 - 0.963248i) q^{2} +(2.47594 - 1.02557i) q^{3} +(0.144306 + 1.99479i) q^{4} +(-1.23251 + 2.97553i) q^{5} +(-3.55158 - 1.32302i) q^{6} +(0.707107 + 0.707107i) q^{7} +(1.77205 - 2.20450i) q^{8} +(2.95715 - 2.95715i) q^{9} +(4.14237 - 1.89380i) q^{10} +(5.37782 + 2.22756i) q^{11} +(2.40308 + 4.79097i) q^{12} +(-1.34780 - 3.25387i) q^{13} +(-0.0510532 - 1.41329i) q^{14} +8.63125i q^{15} +(-3.95835 + 0.575720i) q^{16} +1.12373i q^{17} +(-5.91045 + 0.213507i) q^{18} +(-2.14294 - 5.17351i) q^{19} +(-6.11341 - 2.02920i) q^{20} +(2.47594 + 1.02557i) q^{21} +(-3.42275 - 7.48670i) q^{22} +(-1.63790 + 1.63790i) q^{23} +(2.12663 - 7.27556i) q^{24} +(-3.79919 - 3.79919i) q^{25} +(-1.73871 + 4.66748i) q^{26} +(1.21227 - 2.92667i) q^{27} +(-1.30849 + 1.51257i) q^{28} +(-1.95805 + 0.811051i) q^{29} +(8.31403 - 8.93721i) q^{30} -0.620923 q^{31} +(4.65323 + 3.21675i) q^{32} +15.5996 q^{33} +(1.08243 - 1.16356i) q^{34} +(-2.97553 + 1.23251i) q^{35} +(6.32563 + 5.47216i) q^{36} +(1.28245 - 3.09611i) q^{37} +(-2.76447 + 7.42108i) q^{38} +(-6.67412 - 6.67412i) q^{39} +(4.37550 + 7.98986i) q^{40} +(-0.552778 + 0.552778i) q^{41} +(-1.57583 - 3.44686i) q^{42} +(-6.93125 - 2.87102i) q^{43} +(-3.66746 + 11.0490i) q^{44} +(5.15440 + 12.4438i) q^{45} +(3.27366 - 0.118256i) q^{46} -12.3828i q^{47} +(-9.21019 + 5.48500i) q^{48} +1.00000i q^{49} +(0.274302 + 7.59343i) q^{50} +(1.15246 + 2.78228i) q^{51} +(6.29629 - 3.15812i) q^{52} +(-2.75692 - 1.14195i) q^{53} +(-4.07436 + 1.86271i) q^{54} +(-13.2564 + 13.2564i) q^{55} +(2.81185 - 0.305787i) q^{56} +(-10.6116 - 10.6116i) q^{57} +(2.80870 + 1.04629i) q^{58} +(-5.00009 + 12.0713i) q^{59} +(-17.2175 + 1.24554i) q^{60} +(3.80216 - 1.57491i) q^{61} +(0.642934 + 0.598103i) q^{62} +4.18205 q^{63} +(-1.71965 - 7.81299i) q^{64} +11.3432 q^{65} +(-16.1526 - 15.0263i) q^{66} +(-9.62375 + 3.98629i) q^{67} +(-2.24160 + 0.162161i) q^{68} +(-2.37556 + 5.73510i) q^{69} +(4.26822 + 1.58998i) q^{70} +(10.0462 + 10.0462i) q^{71} +(-1.27882 - 11.7593i) q^{72} +(8.53603 - 8.53603i) q^{73} +(-4.31023 + 1.97054i) q^{74} +(-13.3029 - 5.51023i) q^{75} +(10.0108 - 5.02127i) q^{76} +(2.22756 + 5.37782i) q^{77} +(0.481873 + 13.3395i) q^{78} +7.40965i q^{79} +(3.16562 - 12.4878i) q^{80} +4.05662i q^{81} +(1.10483 - 0.0399106i) q^{82} +(-3.57555 - 8.63214i) q^{83} +(-1.68849 + 5.08696i) q^{84} +(-3.34369 - 1.38500i) q^{85} +(4.41145 + 9.64931i) q^{86} +(-4.01622 + 4.01622i) q^{87} +(14.4404 - 7.90804i) q^{88} +(-9.02149 - 9.02149i) q^{89} +(6.64937 - 17.8499i) q^{90} +(1.34780 - 3.25387i) q^{91} +(-3.50361 - 3.03090i) q^{92} +(-1.53737 + 0.636798i) q^{93} +(-11.9277 + 12.8217i) q^{94} +18.0351 q^{95} +(14.8201 + 3.19226i) q^{96} -1.17783 q^{97} +(0.963248 - 1.03545i) q^{98} +(22.4903 - 9.31578i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6} + O(q^{10}) \) \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{5}{8}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.03545 0.963248i −0.732172 0.681119i
\(3\) 2.47594 1.02557i 1.42948 0.592111i 0.472259 0.881460i \(-0.343439\pi\)
0.957224 + 0.289349i \(0.0934388\pi\)
\(4\) 0.144306 + 1.99479i 0.0721531 + 0.997394i
\(5\) −1.23251 + 2.97553i −0.551193 + 1.33070i 0.365390 + 0.930855i \(0.380936\pi\)
−0.916583 + 0.399844i \(0.869064\pi\)
\(6\) −3.55158 1.32302i −1.44993 0.540121i
\(7\) 0.707107 + 0.707107i 0.267261 + 0.267261i
\(8\) 1.77205 2.20450i 0.626515 0.779409i
\(9\) 2.95715 2.95715i 0.985718 0.985718i
\(10\) 4.14237 1.89380i 1.30993 0.598873i
\(11\) 5.37782 + 2.22756i 1.62147 + 0.671636i 0.994238 0.107195i \(-0.0341869\pi\)
0.627234 + 0.778831i \(0.284187\pi\)
\(12\) 2.40308 + 4.79097i 0.693709 + 1.38303i
\(13\) −1.34780 3.25387i −0.373812 0.902462i −0.993097 0.117296i \(-0.962577\pi\)
0.619285 0.785166i \(-0.287423\pi\)
\(14\) −0.0510532 1.41329i −0.0136446 0.377718i
\(15\) 8.63125i 2.22858i
\(16\) −3.95835 + 0.575720i −0.989588 + 0.143930i
\(17\) 1.12373i 0.272544i 0.990671 + 0.136272i \(0.0435121\pi\)
−0.990671 + 0.136272i \(0.956488\pi\)
\(18\) −5.91045 + 0.213507i −1.39311 + 0.0503241i
\(19\) −2.14294 5.17351i −0.491623 1.18688i −0.953894 0.300145i \(-0.902965\pi\)
0.462270 0.886739i \(-0.347035\pi\)
\(20\) −6.11341 2.02920i −1.36700 0.453743i
\(21\) 2.47594 + 1.02557i 0.540294 + 0.223797i
\(22\) −3.42275 7.48670i −0.729733 1.59617i
\(23\) −1.63790 + 1.63790i −0.341525 + 0.341525i −0.856940 0.515415i \(-0.827638\pi\)
0.515415 + 0.856940i \(0.327638\pi\)
\(24\) 2.12663 7.27556i 0.434096 1.48512i
\(25\) −3.79919 3.79919i −0.759838 0.759838i
\(26\) −1.73871 + 4.66748i −0.340989 + 0.915368i
\(27\) 1.21227 2.92667i 0.233301 0.563239i
\(28\) −1.30849 + 1.51257i −0.247281 + 0.285848i
\(29\) −1.95805 + 0.811051i −0.363601 + 0.150608i −0.557001 0.830512i \(-0.688048\pi\)
0.193401 + 0.981120i \(0.438048\pi\)
\(30\) 8.31403 8.93721i 1.51793 1.63170i
\(31\) −0.620923 −0.111521 −0.0557605 0.998444i \(-0.517758\pi\)
−0.0557605 + 0.998444i \(0.517758\pi\)
\(32\) 4.65323 + 3.21675i 0.822583 + 0.568646i
\(33\) 15.5996 2.71555
\(34\) 1.08243 1.16356i 0.185635 0.199549i
\(35\) −2.97553 + 1.23251i −0.502957 + 0.208332i
\(36\) 6.32563 + 5.47216i 1.05427 + 0.912026i
\(37\) 1.28245 3.09611i 0.210834 0.508997i −0.782718 0.622376i \(-0.786167\pi\)
0.993552 + 0.113379i \(0.0361674\pi\)
\(38\) −2.76447 + 7.42108i −0.448456 + 1.20386i
\(39\) −6.67412 6.67412i −1.06872 1.06872i
\(40\) 4.37550 + 7.98986i 0.691827 + 1.26331i
\(41\) −0.552778 + 0.552778i −0.0863294 + 0.0863294i −0.748953 0.662623i \(-0.769443\pi\)
0.662623 + 0.748953i \(0.269443\pi\)
\(42\) −1.57583 3.44686i −0.243156 0.531862i
\(43\) −6.93125 2.87102i −1.05701 0.437826i −0.214619 0.976698i \(-0.568851\pi\)
−0.842388 + 0.538872i \(0.818851\pi\)
\(44\) −3.66746 + 11.0490i −0.552891 + 1.66571i
\(45\) 5.15440 + 12.4438i 0.768372 + 1.85502i
\(46\) 3.27366 0.118256i 0.482674 0.0174360i
\(47\) 12.3828i 1.80621i −0.429417 0.903107i \(-0.641281\pi\)
0.429417 0.903107i \(-0.358719\pi\)
\(48\) −9.21019 + 5.48500i −1.32938 + 0.791691i
\(49\) 1.00000i 0.142857i
\(50\) 0.274302 + 7.59343i 0.0387922 + 1.07387i
\(51\) 1.15246 + 2.78228i 0.161376 + 0.389597i
\(52\) 6.29629 3.15812i 0.873138 0.437953i
\(53\) −2.75692 1.14195i −0.378692 0.156859i 0.185214 0.982698i \(-0.440702\pi\)
−0.563906 + 0.825839i \(0.690702\pi\)
\(54\) −4.07436 + 1.86271i −0.554449 + 0.253482i
\(55\) −13.2564 + 13.2564i −1.78749 + 1.78749i
\(56\) 2.81185 0.305787i 0.375749 0.0408625i
\(57\) −10.6116 10.6116i −1.40553 1.40553i
\(58\) 2.80870 + 1.04629i 0.368801 + 0.137384i
\(59\) −5.00009 + 12.0713i −0.650957 + 1.57155i 0.160435 + 0.987046i \(0.448710\pi\)
−0.811392 + 0.584502i \(0.801290\pi\)
\(60\) −17.2175 + 1.24554i −2.22277 + 0.160799i
\(61\) 3.80216 1.57491i 0.486817 0.201646i −0.125755 0.992061i \(-0.540135\pi\)
0.612571 + 0.790415i \(0.290135\pi\)
\(62\) 0.642934 + 0.598103i 0.0816527 + 0.0759592i
\(63\) 4.18205 0.526888
\(64\) −1.71965 7.81299i −0.214957 0.976624i
\(65\) 11.3432 1.40695
\(66\) −16.1526 15.0263i −1.98825 1.84961i
\(67\) −9.62375 + 3.98629i −1.17573 + 0.487002i −0.883082 0.469219i \(-0.844536\pi\)
−0.292646 + 0.956221i \(0.594536\pi\)
\(68\) −2.24160 + 0.162161i −0.271834 + 0.0196649i
\(69\) −2.37556 + 5.73510i −0.285983 + 0.690425i
\(70\) 4.26822 + 1.58998i 0.510150 + 0.190039i
\(71\) 10.0462 + 10.0462i 1.19227 + 1.19227i 0.976429 + 0.215840i \(0.0692491\pi\)
0.215840 + 0.976429i \(0.430751\pi\)
\(72\) −1.27882 11.7593i −0.150710 1.38585i
\(73\) 8.53603 8.53603i 0.999067 0.999067i −0.000932621 1.00000i \(-0.500297\pi\)
1.00000 0.000932621i \(0.000296862\pi\)
\(74\) −4.31023 + 1.97054i −0.501054 + 0.229071i
\(75\) −13.3029 5.51023i −1.53608 0.636267i
\(76\) 10.0108 5.02127i 1.14832 0.575979i
\(77\) 2.22756 + 5.37782i 0.253854 + 0.612859i
\(78\) 0.481873 + 13.3395i 0.0545614 + 1.51041i
\(79\) 7.40965i 0.833651i 0.908987 + 0.416825i \(0.136857\pi\)
−0.908987 + 0.416825i \(0.863143\pi\)
\(80\) 3.16562 12.4878i 0.353927 1.39618i
\(81\) 4.05662i 0.450736i
\(82\) 1.10483 0.0399106i 0.122009 0.00440739i
\(83\) −3.57555 8.63214i −0.392467 0.947500i −0.989401 0.145209i \(-0.953614\pi\)
0.596934 0.802291i \(-0.296386\pi\)
\(84\) −1.68849 + 5.08696i −0.184230 + 0.555033i
\(85\) −3.34369 1.38500i −0.362674 0.150224i
\(86\) 4.41145 + 9.64931i 0.475699 + 1.04051i
\(87\) −4.01622 + 4.01622i −0.430584 + 0.430584i
\(88\) 14.4404 7.90804i 1.53936 0.843000i
\(89\) −9.02149 9.02149i −0.956276 0.956276i 0.0428074 0.999083i \(-0.486370\pi\)
−0.999083 + 0.0428074i \(0.986370\pi\)
\(90\) 6.64937 17.8499i 0.700905 1.88154i
\(91\) 1.34780 3.25387i 0.141288 0.341098i
\(92\) −3.50361 3.03090i −0.365277 0.315993i
\(93\) −1.53737 + 0.636798i −0.159417 + 0.0660329i
\(94\) −11.9277 + 12.8217i −1.23025 + 1.32246i
\(95\) 18.0351 1.85036
\(96\) 14.8201 + 3.19226i 1.51257 + 0.325809i
\(97\) −1.17783 −0.119591 −0.0597955 0.998211i \(-0.519045\pi\)
−0.0597955 + 0.998211i \(0.519045\pi\)
\(98\) 0.963248 1.03545i 0.0973028 0.104596i
\(99\) 22.4903 9.31578i 2.26036 0.936271i
\(100\) 7.03033 8.12682i 0.703033 0.812682i
\(101\) 2.12672 5.13436i 0.211617 0.510888i −0.782055 0.623209i \(-0.785829\pi\)
0.993672 + 0.112321i \(0.0358286\pi\)
\(102\) 1.48671 3.99101i 0.147207 0.395168i
\(103\) 0.0679587 + 0.0679587i 0.00669617 + 0.00669617i 0.710447 0.703751i \(-0.248493\pi\)
−0.703751 + 0.710447i \(0.748493\pi\)
\(104\) −9.56154 2.79481i −0.937586 0.274054i
\(105\) −6.10321 + 6.10321i −0.595613 + 0.595613i
\(106\) 1.75466 + 3.83803i 0.170428 + 0.372782i
\(107\) −3.62328 1.50081i −0.350276 0.145089i 0.200607 0.979672i \(-0.435709\pi\)
−0.550882 + 0.834583i \(0.685709\pi\)
\(108\) 6.01303 + 1.99588i 0.578604 + 0.192054i
\(109\) −3.93266 9.49427i −0.376680 0.909386i −0.992584 0.121565i \(-0.961209\pi\)
0.615903 0.787822i \(-0.288791\pi\)
\(110\) 26.4955 0.957113i 2.52624 0.0912571i
\(111\) 8.98101i 0.852440i
\(112\) −3.20607 2.39188i −0.302945 0.226012i
\(113\) 9.81722i 0.923526i 0.887003 + 0.461763i \(0.152783\pi\)
−0.887003 + 0.461763i \(0.847217\pi\)
\(114\) 0.766156 + 21.2093i 0.0717571 + 1.98643i
\(115\) −2.85490 6.89233i −0.266221 0.642713i
\(116\) −1.90043 3.78885i −0.176451 0.351786i
\(117\) −13.6078 5.63656i −1.25805 0.521100i
\(118\) 16.8050 7.68287i 1.54702 0.707265i
\(119\) −0.794595 + 0.794595i −0.0728404 + 0.0728404i
\(120\) 19.0276 + 15.2950i 1.73697 + 1.39624i
\(121\) 16.1807 + 16.1807i 1.47097 + 1.47097i
\(122\) −5.45397 2.03169i −0.493779 0.183941i
\(123\) −0.801732 + 1.93555i −0.0722897 + 0.174523i
\(124\) −0.0896031 1.23861i −0.00804659 0.111230i
\(125\) 1.10948 0.459561i 0.0992349 0.0411044i
\(126\) −4.33029 4.02835i −0.385773 0.358874i
\(127\) 14.6535 1.30029 0.650145 0.759810i \(-0.274708\pi\)
0.650145 + 0.759810i \(0.274708\pi\)
\(128\) −5.74523 + 9.74640i −0.507812 + 0.861468i
\(129\) −20.1058 −1.77021
\(130\) −11.7453 10.9263i −1.03013 0.958299i
\(131\) −4.19286 + 1.73674i −0.366332 + 0.151740i −0.558253 0.829671i \(-0.688528\pi\)
0.191921 + 0.981410i \(0.438528\pi\)
\(132\) 2.25113 + 31.1180i 0.195935 + 2.70847i
\(133\) 2.14294 5.17351i 0.185816 0.448600i
\(134\) 13.8047 + 5.14246i 1.19254 + 0.444241i
\(135\) 7.21429 + 7.21429i 0.620907 + 0.620907i
\(136\) 2.47726 + 1.99130i 0.212423 + 0.170753i
\(137\) 9.77584 9.77584i 0.835207 0.835207i −0.153017 0.988224i \(-0.548899\pi\)
0.988224 + 0.153017i \(0.0488989\pi\)
\(138\) 7.98409 3.65015i 0.679651 0.310721i
\(139\) −6.44774 2.67074i −0.546890 0.226529i 0.0920923 0.995750i \(-0.470645\pi\)
−0.638983 + 0.769221i \(0.720645\pi\)
\(140\) −2.88798 5.75770i −0.244078 0.486614i
\(141\) −12.6994 30.6590i −1.06948 2.58195i
\(142\) −0.725340 20.0794i −0.0608692 1.68502i
\(143\) 20.5010i 1.71438i
\(144\) −10.0030 + 13.4079i −0.833580 + 1.11733i
\(145\) 6.82587i 0.566857i
\(146\) −17.0609 + 0.616303i −1.41197 + 0.0510056i
\(147\) 1.02557 + 2.47594i 0.0845873 + 0.204212i
\(148\) 6.36115 + 2.11143i 0.522883 + 0.173558i
\(149\) −14.2771 5.91376i −1.16962 0.484474i −0.288556 0.957463i \(-0.593175\pi\)
−0.881069 + 0.472989i \(0.843175\pi\)
\(150\) 8.46672 + 18.5195i 0.691305 + 1.51211i
\(151\) 3.96600 3.96600i 0.322749 0.322749i −0.527072 0.849821i \(-0.676710\pi\)
0.849821 + 0.527072i \(0.176710\pi\)
\(152\) −15.2024 4.44362i −1.23308 0.360425i
\(153\) 3.32303 + 3.32303i 0.268651 + 0.268651i
\(154\) 2.87364 7.71415i 0.231565 0.621624i
\(155\) 0.765292 1.84758i 0.0614697 0.148401i
\(156\) 12.3503 14.2766i 0.988819 1.14304i
\(157\) −3.21542 + 1.33187i −0.256619 + 0.106295i −0.507284 0.861779i \(-0.669351\pi\)
0.250666 + 0.968074i \(0.419351\pi\)
\(158\) 7.13733 7.67231i 0.567815 0.610376i
\(159\) −7.99710 −0.634212
\(160\) −15.3067 + 9.88118i −1.21010 + 0.781176i
\(161\) −2.31634 −0.182553
\(162\) 3.90753 4.20042i 0.307005 0.330016i
\(163\) 1.17530 0.486827i 0.0920570 0.0381312i −0.336180 0.941798i \(-0.609135\pi\)
0.428237 + 0.903667i \(0.359135\pi\)
\(164\) −1.18244 1.02290i −0.0923333 0.0798754i
\(165\) −19.2267 + 46.4173i −1.49679 + 3.61358i
\(166\) −4.61259 + 12.3823i −0.358007 + 0.961051i
\(167\) 6.11862 + 6.11862i 0.473473 + 0.473473i 0.903037 0.429564i \(-0.141333\pi\)
−0.429564 + 0.903037i \(0.641333\pi\)
\(168\) 6.64835 3.64085i 0.512932 0.280897i
\(169\) 0.421263 0.421263i 0.0324048 0.0324048i
\(170\) 2.12812 + 4.65490i 0.163219 + 0.357014i
\(171\) −21.6359 8.96186i −1.65454 0.685331i
\(172\) 4.72685 14.2407i 0.360419 1.08584i
\(173\) 6.85868 + 16.5583i 0.521456 + 1.25891i 0.936999 + 0.349332i \(0.113591\pi\)
−0.415543 + 0.909573i \(0.636409\pi\)
\(174\) 8.02720 0.289972i 0.608541 0.0219827i
\(175\) 5.37287i 0.406151i
\(176\) −22.5697 5.72136i −1.70126 0.431264i
\(177\) 35.0157i 2.63194i
\(178\) 0.651353 + 18.0312i 0.0488210 + 1.35150i
\(179\) 6.54277 + 15.7956i 0.489030 + 1.18062i 0.955209 + 0.295932i \(0.0956301\pi\)
−0.466180 + 0.884690i \(0.654370\pi\)
\(180\) −24.0790 + 12.0777i −1.79474 + 0.900215i
\(181\) −12.6175 5.22636i −0.937854 0.388472i −0.139202 0.990264i \(-0.544454\pi\)
−0.798653 + 0.601792i \(0.794454\pi\)
\(182\) −4.52986 + 2.07095i −0.335776 + 0.153509i
\(183\) 7.79874 7.79874i 0.576499 0.576499i
\(184\) 0.708306 + 6.51318i 0.0522170 + 0.480158i
\(185\) 7.63195 + 7.63195i 0.561112 + 0.561112i
\(186\) 2.20526 + 0.821494i 0.161697 + 0.0602348i
\(187\) −2.50317 + 6.04320i −0.183050 + 0.441922i
\(188\) 24.7010 1.78691i 1.80151 0.130324i
\(189\) 2.92667 1.21227i 0.212884 0.0881795i
\(190\) −18.6744 17.3723i −1.35479 1.26032i
\(191\) −20.0273 −1.44912 −0.724562 0.689210i \(-0.757958\pi\)
−0.724562 + 0.689210i \(0.757958\pi\)
\(192\) −12.2705 17.5808i −0.885547 1.26879i
\(193\) 15.6384 1.12567 0.562837 0.826568i \(-0.309710\pi\)
0.562837 + 0.826568i \(0.309710\pi\)
\(194\) 1.21959 + 1.13455i 0.0875612 + 0.0814557i
\(195\) 28.0850 11.6332i 2.01121 0.833069i
\(196\) −1.99479 + 0.144306i −0.142485 + 0.0103076i
\(197\) 5.50906 13.3000i 0.392504 0.947588i −0.596889 0.802324i \(-0.703597\pi\)
0.989393 0.145264i \(-0.0464033\pi\)
\(198\) −32.2609 12.0177i −2.29268 0.854062i
\(199\) 13.0662 + 13.0662i 0.926238 + 0.926238i 0.997460 0.0712229i \(-0.0226902\pi\)
−0.0712229 + 0.997460i \(0.522690\pi\)
\(200\) −15.1077 + 1.64295i −1.06828 + 0.116174i
\(201\) −19.7396 + 19.7396i −1.39232 + 1.39232i
\(202\) −7.14777 + 3.26780i −0.502915 + 0.229922i
\(203\) −1.95805 0.811051i −0.137428 0.0569246i
\(204\) −5.38374 + 2.70041i −0.376937 + 0.189066i
\(205\) −0.963506 2.32611i −0.0672942 0.162463i
\(206\) −0.00490663 0.135829i −0.000341861 0.00946365i
\(207\) 9.68702i 0.673295i
\(208\) 7.20838 + 12.1040i 0.499811 + 0.839262i
\(209\) 32.5957i 2.25469i
\(210\) 12.1985 0.440653i 0.841774 0.0304080i
\(211\) 9.24765 + 22.3258i 0.636634 + 1.53697i 0.831136 + 0.556069i \(0.187691\pi\)
−0.194502 + 0.980902i \(0.562309\pi\)
\(212\) 1.88011 5.66426i 0.129127 0.389023i
\(213\) 35.1769 + 14.5708i 2.41028 + 0.998372i
\(214\) 2.30607 + 5.04413i 0.157639 + 0.344810i
\(215\) 17.0856 17.0856i 1.16523 1.16523i
\(216\) −4.30365 7.85867i −0.292827 0.534715i
\(217\) −0.439059 0.439059i −0.0298053 0.0298053i
\(218\) −5.07328 + 13.6190i −0.343606 + 0.922392i
\(219\) 12.3804 29.8889i 0.836590 2.01971i
\(220\) −28.3566 24.5307i −1.91180 1.65386i
\(221\) 3.65646 1.51456i 0.245960 0.101880i
\(222\) −8.65094 + 9.29937i −0.580613 + 0.624133i
\(223\) −7.70633 −0.516054 −0.258027 0.966138i \(-0.583072\pi\)
−0.258027 + 0.966138i \(0.583072\pi\)
\(224\) 1.01575 + 5.56491i 0.0678675 + 0.371821i
\(225\) −22.4696 −1.49797
\(226\) 9.45641 10.1652i 0.629031 0.676180i
\(227\) 5.24849 2.17400i 0.348355 0.144293i −0.201644 0.979459i \(-0.564628\pi\)
0.549998 + 0.835166i \(0.314628\pi\)
\(228\) 19.6365 22.6991i 1.30046 1.50328i
\(229\) 4.78305 11.5473i 0.316073 0.763068i −0.683382 0.730061i \(-0.739492\pi\)
0.999455 0.0330068i \(-0.0105083\pi\)
\(230\) −3.68293 + 9.88663i −0.242845 + 0.651905i
\(231\) 11.0306 + 11.0306i 0.725761 + 0.725761i
\(232\) −1.68181 + 5.75375i −0.110416 + 0.377752i
\(233\) −5.82716 + 5.82716i −0.381750 + 0.381750i −0.871732 0.489983i \(-0.837003\pi\)
0.489983 + 0.871732i \(0.337003\pi\)
\(234\) 8.66082 + 18.9441i 0.566176 + 1.23841i
\(235\) 36.8453 + 15.2618i 2.40353 + 0.995573i
\(236\) −24.8012 8.23216i −1.61442 0.535868i
\(237\) 7.59909 + 18.3458i 0.493614 + 1.19169i
\(238\) 1.58815 0.0573699i 0.102945 0.00371874i
\(239\) 5.23408i 0.338565i 0.985568 + 0.169282i \(0.0541450\pi\)
−0.985568 + 0.169282i \(0.945855\pi\)
\(240\) −4.96919 34.1655i −0.320760 2.20537i
\(241\) 0.602343i 0.0388003i 0.999812 + 0.0194002i \(0.00617565\pi\)
−0.999812 + 0.0194002i \(0.993824\pi\)
\(242\) −1.16825 32.3403i −0.0750978 2.07891i
\(243\) 7.79714 + 18.8240i 0.500187 + 1.20756i
\(244\) 3.69028 + 7.35723i 0.236246 + 0.470999i
\(245\) −2.97553 1.23251i −0.190100 0.0787419i
\(246\) 2.69457 1.23190i 0.171799 0.0785429i
\(247\) −13.9457 + 13.9457i −0.887343 + 0.887343i
\(248\) −1.10031 + 1.36883i −0.0698697 + 0.0869205i
\(249\) −17.7057 17.7057i −1.12205 1.12205i
\(250\) −1.59148 0.592852i −0.100654 0.0374952i
\(251\) 3.75114 9.05605i 0.236770 0.571613i −0.760175 0.649718i \(-0.774887\pi\)
0.996945 + 0.0781052i \(0.0248870\pi\)
\(252\) 0.603496 + 8.34229i 0.0380166 + 0.525515i
\(253\) −12.4568 + 5.15978i −0.783154 + 0.324393i
\(254\) −15.1730 14.1150i −0.952036 0.885652i
\(255\) −9.69917 −0.607385
\(256\) 15.3371 4.55781i 0.958568 0.284863i
\(257\) −2.95881 −0.184565 −0.0922827 0.995733i \(-0.529416\pi\)
−0.0922827 + 0.995733i \(0.529416\pi\)
\(258\) 20.8185 + 19.3668i 1.29610 + 1.20573i
\(259\) 3.09611 1.28245i 0.192383 0.0796876i
\(260\) 1.63689 + 22.6272i 0.101516 + 1.40328i
\(261\) −3.39185 + 8.18866i −0.209950 + 0.506865i
\(262\) 6.01440 + 2.24046i 0.371571 + 0.138416i
\(263\) 4.55305 + 4.55305i 0.280753 + 0.280753i 0.833409 0.552656i \(-0.186386\pi\)
−0.552656 + 0.833409i \(0.686386\pi\)
\(264\) 27.6434 34.3894i 1.70133 2.11652i
\(265\) 6.79584 6.79584i 0.417465 0.417465i
\(266\) −7.20227 + 3.29272i −0.441600 + 0.201890i
\(267\) −31.5888 13.0845i −1.93320 0.800758i
\(268\) −9.34056 18.6221i −0.570566 1.13752i
\(269\) −3.39565 8.19783i −0.207037 0.499831i 0.785917 0.618332i \(-0.212191\pi\)
−0.992954 + 0.118501i \(0.962191\pi\)
\(270\) −0.520873 14.4192i −0.0316993 0.877523i
\(271\) 7.90544i 0.480221i 0.970746 + 0.240111i \(0.0771837\pi\)
−0.970746 + 0.240111i \(0.922816\pi\)
\(272\) −0.646953 4.44811i −0.0392273 0.269706i
\(273\) 9.43864i 0.571252i
\(274\) −19.5389 + 0.705818i −1.18039 + 0.0426400i
\(275\) −11.9684 28.8943i −0.721722 1.74239i
\(276\) −11.7831 3.91112i −0.709260 0.235422i
\(277\) 2.60561 + 1.07928i 0.156556 + 0.0648475i 0.459585 0.888134i \(-0.347998\pi\)
−0.303030 + 0.952981i \(0.597998\pi\)
\(278\) 4.10372 + 8.97619i 0.246125 + 0.538356i
\(279\) −1.83617 + 1.83617i −0.109928 + 0.109928i
\(280\) −2.55574 + 8.74363i −0.152735 + 0.522532i
\(281\) 14.2063 + 14.2063i 0.847479 + 0.847479i 0.989818 0.142339i \(-0.0454623\pi\)
−0.142339 + 0.989818i \(0.545462\pi\)
\(282\) −16.3827 + 43.9784i −0.975573 + 2.61888i
\(283\) −1.51835 + 3.66562i −0.0902566 + 0.217899i −0.962561 0.271064i \(-0.912625\pi\)
0.872305 + 0.488963i \(0.162625\pi\)
\(284\) −18.5904 + 21.4898i −1.10314 + 1.27519i
\(285\) 44.6538 18.4962i 2.64506 1.09562i
\(286\) −19.7476 + 21.2278i −1.16770 + 1.25522i
\(287\) −0.781746 −0.0461450
\(288\) 23.2727 4.24790i 1.37136 0.250310i
\(289\) 15.7372 0.925720
\(290\) −6.57500 + 7.06783i −0.386097 + 0.415037i
\(291\) −2.91624 + 1.20795i −0.170953 + 0.0708111i
\(292\) 18.2594 + 15.7958i 1.06855 + 0.924377i
\(293\) −4.45974 + 10.7668i −0.260541 + 0.629001i −0.998972 0.0453274i \(-0.985567\pi\)
0.738431 + 0.674329i \(0.235567\pi\)
\(294\) 1.32302 3.55158i 0.0771601 0.207132i
\(295\) −29.7559 29.7559i −1.73245 1.73245i
\(296\) −4.55281 8.31364i −0.264627 0.483220i
\(297\) 13.0387 13.0387i 0.756583 0.756583i
\(298\) 9.08676 + 19.8758i 0.526382 + 1.15137i
\(299\) 7.53706 + 3.12195i 0.435879 + 0.180547i
\(300\) 9.07205 27.3316i 0.523775 1.57799i
\(301\) −2.87102 6.93125i −0.165483 0.399511i
\(302\) −7.92684 + 0.286346i −0.456138 + 0.0164774i
\(303\) 14.8934i 0.855605i
\(304\) 11.4610 + 19.2448i 0.657333 + 1.10377i
\(305\) 13.2545i 0.758953i
\(306\) −0.239924 6.64174i −0.0137155 0.379683i
\(307\) 9.52021 + 22.9838i 0.543347 + 1.31176i 0.922348 + 0.386360i \(0.126268\pi\)
−0.379001 + 0.925396i \(0.623732\pi\)
\(308\) −10.4061 + 5.21957i −0.592945 + 0.297412i
\(309\) 0.237958 + 0.0985653i 0.0135369 + 0.00560719i
\(310\) −2.57210 + 1.17591i −0.146085 + 0.0667869i
\(311\) −11.0470 + 11.0470i −0.626420 + 0.626420i −0.947165 0.320745i \(-0.896067\pi\)
0.320745 + 0.947165i \(0.396067\pi\)
\(312\) −26.5400 + 2.88621i −1.50253 + 0.163400i
\(313\) −15.4459 15.4459i −0.873054 0.873054i 0.119750 0.992804i \(-0.461791\pi\)
−0.992804 + 0.119750i \(0.961791\pi\)
\(314\) 4.61233 + 1.71817i 0.260289 + 0.0969617i
\(315\) −5.15440 + 12.4438i −0.290417 + 0.701130i
\(316\) −14.7807 + 1.06926i −0.831478 + 0.0601505i
\(317\) 28.2135 11.6864i 1.58463 0.656374i 0.595489 0.803363i \(-0.296958\pi\)
0.989138 + 0.146989i \(0.0469583\pi\)
\(318\) 8.28059 + 7.70319i 0.464352 + 0.431974i
\(319\) −12.3367 −0.690722
\(320\) 25.3673 + 4.51267i 1.41807 + 0.252266i
\(321\) −10.5102 −0.586622
\(322\) 2.39845 + 2.23121i 0.133660 + 0.124340i
\(323\) 5.81361 2.40808i 0.323478 0.133989i
\(324\) −8.09209 + 0.585396i −0.449561 + 0.0325220i
\(325\) −7.24154 + 17.4826i −0.401688 + 0.969762i
\(326\) −1.68590 0.628026i −0.0933735 0.0347831i
\(327\) −19.4740 19.4740i −1.07692 1.07692i
\(328\) 0.239048 + 2.19815i 0.0131992 + 0.121373i
\(329\) 8.75594 8.75594i 0.482731 0.482731i
\(330\) 64.6195 29.5426i 3.55719 1.62627i
\(331\) 0.500209 + 0.207194i 0.0274940 + 0.0113884i 0.396388 0.918083i \(-0.370263\pi\)
−0.368894 + 0.929471i \(0.620263\pi\)
\(332\) 16.7033 8.37813i 0.916713 0.459810i
\(333\) −5.36327 12.9481i −0.293905 0.709550i
\(334\) −0.441765 12.2293i −0.0241723 0.669155i
\(335\) 33.5489i 1.83297i
\(336\) −10.3911 2.63411i −0.566879 0.143702i
\(337\) 2.29568i 0.125054i −0.998043 0.0625268i \(-0.980084\pi\)
0.998043 0.0625268i \(-0.0199159\pi\)
\(338\) −0.841977 + 0.0304153i −0.0457975 + 0.00165437i
\(339\) 10.0682 + 24.3068i 0.546830 + 1.32016i
\(340\) 2.28027 6.86981i 0.123665 0.372568i
\(341\) −3.33921 1.38315i −0.180828 0.0749016i
\(342\) 13.7703 + 30.1202i 0.744613 + 1.62872i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −18.6117 + 10.1924i −1.00348 + 0.549535i
\(345\) −14.1371 14.1371i −0.761115 0.761115i
\(346\) 8.84796 23.7519i 0.475669 1.27691i
\(347\) −0.117249 + 0.283063i −0.00629423 + 0.0151956i −0.926995 0.375073i \(-0.877618\pi\)
0.920701 + 0.390268i \(0.127618\pi\)
\(348\) −8.59107 7.43194i −0.460530 0.398394i
\(349\) −18.8618 + 7.81280i −1.00965 + 0.418210i −0.825326 0.564656i \(-0.809009\pi\)
−0.184322 + 0.982866i \(0.559009\pi\)
\(350\) −5.17540 + 5.56333i −0.276637 + 0.297372i
\(351\) −11.1569 −0.595512
\(352\) 17.8587 + 27.6644i 0.951872 + 1.47452i
\(353\) 13.6526 0.726653 0.363326 0.931662i \(-0.381641\pi\)
0.363326 + 0.931662i \(0.381641\pi\)
\(354\) 33.7288 36.2569i 1.79266 1.92703i
\(355\) −42.2750 + 17.5109i −2.24372 + 0.929380i
\(356\) 16.6941 19.2978i 0.884785 1.02278i
\(357\) −1.15246 + 2.78228i −0.0609945 + 0.147254i
\(358\) 8.44042 22.6579i 0.446090 1.19751i
\(359\) 10.2515 + 10.2515i 0.541054 + 0.541054i 0.923838 0.382784i \(-0.125035\pi\)
−0.382784 + 0.923838i \(0.625035\pi\)
\(360\) 36.5663 + 10.6882i 1.92721 + 0.563319i
\(361\) −8.73797 + 8.73797i −0.459893 + 0.459893i
\(362\) 8.03053 + 17.5654i 0.422075 + 0.923219i
\(363\) 56.6567 + 23.4680i 2.97371 + 1.23175i
\(364\) 6.68528 + 2.21902i 0.350404 + 0.116308i
\(365\) 14.8785 + 35.9200i 0.778778 + 1.88014i
\(366\) −15.5873 + 0.563070i −0.814762 + 0.0294321i
\(367\) 3.90421i 0.203798i 0.994795 + 0.101899i \(0.0324918\pi\)
−0.994795 + 0.101899i \(0.967508\pi\)
\(368\) 5.54040 7.42634i 0.288813 0.387125i
\(369\) 3.26930i 0.170193i
\(370\) −0.551028 15.2539i −0.0286466 0.793015i
\(371\) −1.14195 2.75692i −0.0592872 0.143132i
\(372\) −1.49213 2.97482i −0.0773632 0.154237i
\(373\) 3.68978 + 1.52836i 0.191050 + 0.0791354i 0.476157 0.879360i \(-0.342029\pi\)
−0.285107 + 0.958496i \(0.592029\pi\)
\(374\) 8.41301 3.84624i 0.435026 0.198884i
\(375\) 2.27569 2.27569i 0.117516 0.117516i
\(376\) −27.2978 21.9429i −1.40778 1.13162i
\(377\) 5.27811 + 5.27811i 0.271837 + 0.271837i
\(378\) −4.19814 1.56387i −0.215929 0.0804369i
\(379\) −4.66538 + 11.2632i −0.239644 + 0.578553i −0.997246 0.0741646i \(-0.976371\pi\)
0.757602 + 0.652717i \(0.226371\pi\)
\(380\) 2.60258 + 35.9762i 0.133510 + 1.84554i
\(381\) 36.2812 15.0282i 1.85874 0.769916i
\(382\) 20.7372 + 19.2912i 1.06101 + 0.987026i
\(383\) 17.2598 0.881936 0.440968 0.897523i \(-0.354635\pi\)
0.440968 + 0.897523i \(0.354635\pi\)
\(384\) −4.22925 + 30.0236i −0.215823 + 1.53213i
\(385\) −18.7474 −0.955454
\(386\) −16.1927 15.0636i −0.824188 0.766719i
\(387\) −28.9868 + 12.0067i −1.47348 + 0.610337i
\(388\) −0.169969 2.34953i −0.00862886 0.119279i
\(389\) −3.00728 + 7.26021i −0.152475 + 0.368107i −0.981598 0.190959i \(-0.938840\pi\)
0.829123 + 0.559066i \(0.188840\pi\)
\(390\) −40.2862 15.0072i −2.03997 0.759921i
\(391\) −1.84055 1.84055i −0.0930805 0.0930805i
\(392\) 2.20450 + 1.77205i 0.111344 + 0.0895022i
\(393\) −8.60012 + 8.60012i −0.433818 + 0.433818i
\(394\) −18.5156 + 8.46491i −0.932801 + 0.426456i
\(395\) −22.0477 9.13244i −1.10934 0.459503i
\(396\) 21.8285 + 43.5190i 1.09692 + 2.18691i
\(397\) 0.701698 + 1.69405i 0.0352172 + 0.0850218i 0.940510 0.339767i \(-0.110348\pi\)
−0.905292 + 0.424789i \(0.860348\pi\)
\(398\) −0.943381 26.1153i −0.0472874 1.30904i
\(399\) 15.0070i 0.751290i
\(400\) 17.2258 + 12.8513i 0.861290 + 0.642563i
\(401\) 1.26709i 0.0632754i −0.999499 0.0316377i \(-0.989928\pi\)
0.999499 0.0316377i \(-0.0100723\pi\)
\(402\) 39.4534 1.42520i 1.96776 0.0710826i
\(403\) 0.836879 + 2.02040i 0.0416879 + 0.100644i
\(404\) 10.5488 + 3.50143i 0.524825 + 0.174203i
\(405\) −12.0706 4.99981i −0.599793 0.248443i
\(406\) 1.24622 + 2.72589i 0.0618487 + 0.135284i
\(407\) 13.7936 13.7936i 0.683722 0.683722i
\(408\) 8.17575 + 2.38975i 0.404760 + 0.118310i
\(409\) −4.14840 4.14840i −0.205125 0.205125i 0.597067 0.802192i \(-0.296333\pi\)
−0.802192 + 0.597067i \(0.796333\pi\)
\(410\) −1.24296 + 3.33666i −0.0613854 + 0.164786i
\(411\) 14.1786 34.2301i 0.699378 1.68845i
\(412\) −0.125756 + 0.145370i −0.00619557 + 0.00716187i
\(413\) −12.0713 + 5.00009i −0.593989 + 0.246039i
\(414\) 9.33101 10.0304i 0.458594 0.492968i
\(415\) 30.0921 1.47716
\(416\) 4.19527 19.4765i 0.205690 0.954916i
\(417\) −18.7032 −0.915901
\(418\) −31.3977 + 33.7512i −1.53571 + 1.65082i
\(419\) 22.3678 9.26503i 1.09274 0.452626i 0.237776 0.971320i \(-0.423581\pi\)
0.854960 + 0.518694i \(0.173581\pi\)
\(420\) −13.0553 11.2939i −0.637036 0.551085i
\(421\) 1.09191 2.63610i 0.0532163 0.128476i −0.895035 0.445995i \(-0.852850\pi\)
0.948252 + 0.317519i \(0.102850\pi\)
\(422\) 11.9298 32.0250i 0.580735 1.55895i
\(423\) −36.6178 36.6178i −1.78042 1.78042i
\(424\) −7.40284 + 4.05403i −0.359514 + 0.196881i
\(425\) 4.26925 4.26925i 0.207089 0.207089i
\(426\) −22.3886 48.9714i −1.08473 2.37267i
\(427\) 3.80216 + 1.57491i 0.183999 + 0.0762151i
\(428\) 2.47094 7.44425i 0.119437 0.359832i
\(429\) −21.0252 50.7592i −1.01510 2.45068i
\(430\) −34.1490 + 1.23359i −1.64681 + 0.0594888i
\(431\) 8.63598i 0.415980i 0.978131 + 0.207990i \(0.0666922\pi\)
−0.978131 + 0.207990i \(0.933308\pi\)
\(432\) −3.11364 + 12.2827i −0.149805 + 0.590953i
\(433\) 4.81690i 0.231486i 0.993279 + 0.115743i \(0.0369248\pi\)
−0.993279 + 0.115743i \(0.963075\pi\)
\(434\) 0.0317001 + 0.877546i 0.00152166 + 0.0421235i
\(435\) −7.00038 16.9004i −0.335642 0.810313i
\(436\) 18.3715 9.21490i 0.879837 0.441313i
\(437\) 11.9836 + 4.96376i 0.573252 + 0.237449i
\(438\) −41.6097 + 19.0230i −1.98819 + 0.908956i
\(439\) 9.57691 9.57691i 0.457081 0.457081i −0.440615 0.897696i \(-0.645240\pi\)
0.897696 + 0.440615i \(0.145240\pi\)
\(440\) 5.73270 + 52.7147i 0.273296 + 2.51308i
\(441\) 2.95715 + 2.95715i 0.140817 + 0.140817i
\(442\) −5.24497 1.95384i −0.249478 0.0929345i
\(443\) −12.9613 + 31.2912i −0.615808 + 1.48669i 0.240722 + 0.970594i \(0.422616\pi\)
−0.856530 + 0.516098i \(0.827384\pi\)
\(444\) 17.9152 1.29602i 0.850218 0.0615062i
\(445\) 37.9628 15.7247i 1.79961 0.745422i
\(446\) 7.97950 + 7.42311i 0.377840 + 0.351494i
\(447\) −41.4141 −1.95882
\(448\) 4.30864 6.74060i 0.203564 0.318463i
\(449\) 6.30540 0.297570 0.148785 0.988870i \(-0.452464\pi\)
0.148785 + 0.988870i \(0.452464\pi\)
\(450\) 23.2661 + 21.6438i 1.09677 + 1.02030i
\(451\) −4.20408 + 1.74139i −0.197963 + 0.0819988i
\(452\) −19.5833 + 1.41669i −0.921119 + 0.0666353i
\(453\) 5.75217 13.8870i 0.270261 0.652467i
\(454\) −7.52864 2.80454i −0.353337 0.131624i
\(455\) 8.02083 + 8.02083i 0.376023 + 0.376023i
\(456\) −42.1974 + 4.58895i −1.97608 + 0.214897i
\(457\) −14.5745 + 14.5745i −0.681767 + 0.681767i −0.960398 0.278631i \(-0.910119\pi\)
0.278631 + 0.960398i \(0.410119\pi\)
\(458\) −16.0755 + 7.34938i −0.751160 + 0.343414i
\(459\) 3.28878 + 1.36226i 0.153507 + 0.0635848i
\(460\) 13.3368 6.68952i 0.621829 0.311900i
\(461\) 12.6342 + 30.5016i 0.588433 + 1.42060i 0.885000 + 0.465591i \(0.154158\pi\)
−0.296567 + 0.955012i \(0.595842\pi\)
\(462\) −0.796412 22.0468i −0.0370525 1.02571i
\(463\) 6.86681i 0.319128i 0.987188 + 0.159564i \(0.0510088\pi\)
−0.987188 + 0.159564i \(0.948991\pi\)
\(464\) 7.28371 4.33771i 0.338138 0.201373i
\(465\) 5.35934i 0.248533i
\(466\) 11.6467 0.420722i 0.539524 0.0194896i
\(467\) −3.84799 9.28988i −0.178064 0.429884i 0.809496 0.587125i \(-0.199740\pi\)
−0.987560 + 0.157241i \(0.949740\pi\)
\(468\) 9.28003 27.9582i 0.428970 1.29237i
\(469\) −9.62375 3.98629i −0.444383 0.184070i
\(470\) −23.4505 51.2941i −1.08169 2.36602i
\(471\) −6.59526 + 6.59526i −0.303893 + 0.303893i
\(472\) 17.7508 + 32.4137i 0.817045 + 1.49196i
\(473\) −30.8796 30.8796i −1.41985 1.41985i
\(474\) 9.80311 26.3159i 0.450272 1.20873i
\(475\) −11.5137 + 27.7966i −0.528286 + 1.27539i
\(476\) −1.69971 1.47038i −0.0779062 0.0673949i
\(477\) −11.5296 + 4.77570i −0.527902 + 0.218664i
\(478\) 5.04172 5.41962i 0.230603 0.247888i
\(479\) −6.21656 −0.284042 −0.142021 0.989864i \(-0.545360\pi\)
−0.142021 + 0.989864i \(0.545360\pi\)
\(480\) −27.7645 + 40.1632i −1.26727 + 1.83319i
\(481\) −11.8028 −0.538163
\(482\) 0.580206 0.623695i 0.0264277 0.0284085i
\(483\) −5.73510 + 2.37556i −0.260956 + 0.108092i
\(484\) −29.9420 + 34.6120i −1.36100 + 1.57327i
\(485\) 1.45169 3.50468i 0.0659177 0.159140i
\(486\) 10.0586 27.0018i 0.456268 1.22483i
\(487\) −26.4225 26.4225i −1.19732 1.19732i −0.974967 0.222349i \(-0.928627\pi\)
−0.222349 0.974967i \(-0.571373\pi\)
\(488\) 3.26575 11.1727i 0.147833 0.505764i
\(489\) 2.41071 2.41071i 0.109016 0.109016i
\(490\) 1.89380 + 4.14237i 0.0855532 + 0.187133i
\(491\) −20.1620 8.35138i −0.909898 0.376892i −0.121881 0.992545i \(-0.538893\pi\)
−0.788018 + 0.615652i \(0.788893\pi\)
\(492\) −3.97671 1.31997i −0.179284 0.0595090i
\(493\) −0.911400 2.20031i −0.0410474 0.0990971i
\(494\) 27.8732 1.00688i 1.25407 0.0453017i
\(495\) 78.4023i 3.52392i
\(496\) 2.45783 0.357478i 0.110360 0.0160512i
\(497\) 14.2075i 0.637295i
\(498\) 1.27835 + 35.3882i 0.0572843 + 1.58578i
\(499\) −5.41301 13.0682i −0.242319 0.585011i 0.755193 0.655503i \(-0.227543\pi\)
−0.997512 + 0.0704918i \(0.977543\pi\)
\(500\) 1.07683 + 2.14686i 0.0481574 + 0.0960104i
\(501\) 21.4244 + 8.87426i 0.957170 + 0.396473i
\(502\) −12.6073 + 5.76379i −0.562693 + 0.257251i
\(503\) −7.30716 + 7.30716i −0.325810 + 0.325810i −0.850991 0.525181i \(-0.823998\pi\)
0.525181 + 0.850991i \(0.323998\pi\)
\(504\) 7.41081 9.21933i 0.330104 0.410662i
\(505\) 12.6563 + 12.6563i 0.563196 + 0.563196i
\(506\) 17.8685 + 6.65632i 0.794354 + 0.295910i
\(507\) 0.610987 1.47505i 0.0271349 0.0655094i
\(508\) 2.11459 + 29.2307i 0.0938200 + 1.29690i
\(509\) −31.9079 + 13.2167i −1.41429 + 0.585818i −0.953419 0.301649i \(-0.902463\pi\)
−0.460871 + 0.887467i \(0.652463\pi\)
\(510\) 10.0430 + 9.34270i 0.444711 + 0.413702i
\(511\) 12.0718 0.534024
\(512\) −20.2711 10.0541i −0.895863 0.444330i
\(513\) −17.7390 −0.783195
\(514\) 3.06369 + 2.85007i 0.135134 + 0.125711i
\(515\) −0.285973 + 0.118454i −0.0126015 + 0.00521970i
\(516\) −2.90139 40.1067i −0.127726 1.76560i
\(517\) 27.5834 66.5923i 1.21312 2.92872i
\(518\) −4.44118 1.65441i −0.195134 0.0726906i
\(519\) 33.9633 + 33.9633i 1.49082 + 1.49082i
\(520\) 20.1007 25.0060i 0.881474 1.09659i
\(521\) −18.9848 + 18.9848i −0.831740 + 0.831740i −0.987755 0.156014i \(-0.950135\pi\)
0.156014 + 0.987755i \(0.450135\pi\)
\(522\) 11.3998 5.21173i 0.498955 0.228111i
\(523\) −6.34733 2.62915i −0.277550 0.114965i 0.239567 0.970880i \(-0.422995\pi\)
−0.517116 + 0.855915i \(0.672995\pi\)
\(524\) −4.06948 8.11324i −0.177776 0.354429i
\(525\) −5.51023 13.3029i −0.240486 0.580585i
\(526\) −0.328731 9.10016i −0.0143333 0.396786i
\(527\) 0.697748i 0.0303944i
\(528\) −61.7489 + 8.98103i −2.68727 + 0.390849i
\(529\) 17.6346i 0.766721i
\(530\) −13.5828 + 0.490661i −0.590000 + 0.0213129i
\(531\) 20.9106 + 50.4827i 0.907444 + 2.19076i
\(532\) 10.6293 + 3.52813i 0.460838 + 0.152964i
\(533\) 2.54370 + 1.05364i 0.110180 + 0.0456380i
\(534\) 20.1049 + 43.9761i 0.870025 + 1.90303i
\(535\) 8.93143 8.93143i 0.386140 0.386140i
\(536\) −8.26602 + 28.2795i −0.357038 + 1.22149i
\(537\) 32.3990 + 32.3990i 1.39812 + 1.39812i
\(538\) −4.38052 + 11.7593i −0.188858 + 0.506979i
\(539\) −2.22756 + 5.37782i −0.0959480 + 0.231639i
\(540\) −13.3499 + 15.4320i −0.574488 + 0.664089i
\(541\) 3.31035 1.37119i 0.142323 0.0589521i −0.310385 0.950611i \(-0.600458\pi\)
0.452708 + 0.891659i \(0.350458\pi\)
\(542\) 7.61490 8.18567i 0.327088 0.351605i
\(543\) −36.6002 −1.57067
\(544\) −3.61474 + 5.22896i −0.154981 + 0.224190i
\(545\) 33.0975 1.41774
\(546\) −9.09175 + 9.77322i −0.389091 + 0.418255i
\(547\) 3.66912 1.51980i 0.156880 0.0649819i −0.302862 0.953035i \(-0.597942\pi\)
0.459742 + 0.888053i \(0.347942\pi\)
\(548\) 20.9114 + 18.0900i 0.893292 + 0.772767i
\(549\) 6.58633 15.9008i 0.281098 0.678630i
\(550\) −15.4397 + 41.4471i −0.658351 + 1.76731i
\(551\) 8.39195 + 8.39195i 0.357509 + 0.357509i
\(552\) 8.43342 + 15.3998i 0.358950 + 0.655460i
\(553\) −5.23941 + 5.23941i −0.222802 + 0.222802i
\(554\) −1.65836 3.62738i −0.0704569 0.154113i
\(555\) 26.7233 + 11.0691i 1.13434 + 0.469859i
\(556\) 4.39711 13.2473i 0.186479 0.561810i
\(557\) −13.2897 32.0843i −0.563105 1.35946i −0.907271 0.420546i \(-0.861838\pi\)
0.344166 0.938909i \(-0.388162\pi\)
\(558\) 3.66994 0.132571i 0.155361 0.00561220i
\(559\) 26.4230i 1.11757i
\(560\) 11.0686 6.59177i 0.467735 0.278553i
\(561\) 17.5297i 0.740106i
\(562\) −1.02570 28.3942i −0.0432665 1.19774i
\(563\) −9.26787 22.3746i −0.390594 0.942978i −0.989811 0.142391i \(-0.954521\pi\)
0.599216 0.800587i \(-0.295479\pi\)
\(564\) 59.3255 29.7568i 2.49805 1.25299i
\(565\) −29.2114 12.0998i −1.22893 0.509041i
\(566\) 5.10308 2.33301i 0.214498 0.0980639i
\(567\) −2.86846 + 2.86846i −0.120464 + 0.120464i
\(568\) 39.9494 4.34448i 1.67624 0.182290i
\(569\) 1.02544 + 1.02544i 0.0429886 + 0.0429886i 0.728274 0.685286i \(-0.240323\pi\)
−0.685286 + 0.728274i \(0.740323\pi\)
\(570\) −64.0532 23.8608i −2.68289 0.999420i
\(571\) 17.2168 41.5649i 0.720499 1.73944i 0.0485726 0.998820i \(-0.484533\pi\)
0.671926 0.740618i \(-0.265467\pi\)
\(572\) 40.8952 2.95843i 1.70991 0.123698i
\(573\) −49.5863 + 20.5393i −2.07150 + 0.858042i
\(574\) 0.809457 + 0.753015i 0.0337861 + 0.0314302i
\(575\) 12.4454 0.519007
\(576\) −28.1895 18.0189i −1.17456 0.750789i
\(577\) 35.0309 1.45836 0.729178 0.684324i \(-0.239903\pi\)
0.729178 + 0.684324i \(0.239903\pi\)
\(578\) −16.2951 15.1589i −0.677787 0.630526i
\(579\) 38.7196 16.0382i 1.60913 0.666524i
\(580\) 13.6161 0.985015i 0.565380 0.0409005i
\(581\) 3.57555 8.63214i 0.148339 0.358121i
\(582\) 4.18317 + 1.55830i 0.173398 + 0.0645935i
\(583\) −12.2824 12.2824i −0.508686 0.508686i
\(584\) −3.69139 33.9440i −0.152751 1.40461i
\(585\) 33.5435 33.5435i 1.38685 1.38685i
\(586\) 14.9889 6.85259i 0.619186 0.283078i
\(587\) −39.9549 16.5499i −1.64912 0.683086i −0.651946 0.758265i \(-0.726047\pi\)
−0.997170 + 0.0751787i \(0.976047\pi\)
\(588\) −4.79097 + 2.40308i −0.197576 + 0.0991013i
\(589\) 1.33060 + 3.21235i 0.0548264 + 0.132363i
\(590\) 2.14838 + 59.4730i 0.0884474 + 2.44846i
\(591\) 38.5799i 1.58697i
\(592\) −3.29390 + 12.9938i −0.135378 + 0.534043i
\(593\) 14.9623i 0.614428i −0.951640 0.307214i \(-0.900603\pi\)
0.951640 0.307214i \(-0.0993968\pi\)
\(594\) −26.0604 + 0.941397i −1.06927 + 0.0386260i
\(595\) −1.38500 3.34369i −0.0567795 0.137078i
\(596\) 9.73643 29.3331i 0.398820 1.20153i
\(597\) 45.7513 + 18.9508i 1.87248 + 0.775605i
\(598\) −4.79702 10.4927i −0.196165 0.429077i
\(599\) 5.32543 5.32543i 0.217591 0.217591i −0.589892 0.807483i \(-0.700830\pi\)
0.807483 + 0.589892i \(0.200830\pi\)
\(600\) −35.7207 + 19.5618i −1.45829 + 0.798607i
\(601\) 0.961043 + 0.961043i 0.0392017 + 0.0392017i 0.726436 0.687234i \(-0.241175\pi\)
−0.687234 + 0.726436i \(0.741175\pi\)
\(602\) −3.70373 + 9.94246i −0.150953 + 0.405224i
\(603\) −16.6708 + 40.2470i −0.678889 + 1.63898i
\(604\) 8.48365 + 7.33901i 0.345195 + 0.298620i
\(605\) −68.0889 + 28.2034i −2.76821 + 1.14663i
\(606\) −14.3461 + 15.4214i −0.582769 + 0.626451i
\(607\) 14.9244 0.605763 0.302882 0.953028i \(-0.402051\pi\)
0.302882 + 0.953028i \(0.402051\pi\)
\(608\) 6.67028 30.9668i 0.270516 1.25587i
\(609\) −5.67979 −0.230157
\(610\) 12.7674 13.7244i 0.516937 0.555684i
\(611\) −40.2920 + 16.6895i −1.63004 + 0.675184i
\(612\) −6.14921 + 7.10828i −0.248567 + 0.287335i
\(613\) 8.77913 21.1947i 0.354586 0.856045i −0.641456 0.767160i \(-0.721669\pi\)
0.996042 0.0888857i \(-0.0283306\pi\)
\(614\) 12.2814 32.9689i 0.495638 1.33052i
\(615\) −4.77116 4.77116i −0.192392 0.192392i
\(616\) 15.8028 + 4.61911i 0.636711 + 0.186109i
\(617\) 6.04990 6.04990i 0.243560 0.243560i −0.574761 0.818321i \(-0.694905\pi\)
0.818321 + 0.574761i \(0.194905\pi\)
\(618\) −0.151450 0.331272i −0.00609222 0.0133257i
\(619\) 42.1079 + 17.4417i 1.69246 + 0.701040i 0.999796 0.0202212i \(-0.00643706\pi\)
0.692664 + 0.721261i \(0.256437\pi\)
\(620\) 3.79596 + 1.25998i 0.152449 + 0.0506019i
\(621\) 2.80802 + 6.77916i 0.112682 + 0.272038i
\(622\) 22.0797 0.797598i 0.885314 0.0319808i
\(623\) 12.7583i 0.511151i
\(624\) 30.2610 + 22.5761i 1.21141 + 0.903767i
\(625\) 22.9966i 0.919865i
\(626\) 1.11520 + 30.8717i 0.0445722 + 1.23388i
\(627\) −33.4291 80.7049i −1.33503 3.22304i
\(628\) −3.12081 6.22189i −0.124534 0.248280i
\(629\) 3.47918 + 1.44112i 0.138724 + 0.0574614i
\(630\) 17.3236 7.91997i 0.690189 0.315539i
\(631\) −28.3911 + 28.3911i −1.13023 + 1.13023i −0.140095 + 0.990138i \(0.544741\pi\)
−0.990138 + 0.140095i \(0.955259\pi\)
\(632\) 16.3346 + 13.1303i 0.649755 + 0.522295i
\(633\) 45.7932 + 45.7932i 1.82012 + 1.82012i
\(634\) −40.4705 15.0759i −1.60729 0.598741i
\(635\) −18.0606 + 43.6020i −0.716711 + 1.73029i
\(636\) −1.15403 15.9525i −0.0457603 0.632559i
\(637\) 3.25387 1.34780i 0.128923 0.0534017i
\(638\) 12.7740 + 11.8833i 0.505728 + 0.470464i
\(639\) 59.4165 2.35048
\(640\) −21.9197 29.1076i −0.866452 1.15058i
\(641\) −0.683472 −0.0269955 −0.0134978 0.999909i \(-0.504297\pi\)
−0.0134978 + 0.999909i \(0.504297\pi\)
\(642\) 10.8828 + 10.1239i 0.429509 + 0.399560i
\(643\) −0.843549 + 0.349409i −0.0332663 + 0.0137794i −0.399255 0.916840i \(-0.630731\pi\)
0.365988 + 0.930619i \(0.380731\pi\)
\(644\) −0.334262 4.62060i −0.0131718 0.182077i
\(645\) 24.7805 59.8254i 0.975731 2.35562i
\(646\) −8.33927 3.10651i −0.328104 0.122224i
\(647\) −11.9251 11.9251i −0.468826 0.468826i 0.432708 0.901534i \(-0.357558\pi\)
−0.901534 + 0.432708i \(0.857558\pi\)
\(648\) 8.94283 + 7.18855i 0.351307 + 0.282393i
\(649\) −53.7792 + 53.7792i −2.11102 + 2.11102i
\(650\) 24.3383 11.1270i 0.954628 0.436435i
\(651\) −1.53737 0.636798i −0.0602541 0.0249581i
\(652\) 1.14072 + 2.27423i 0.0446741 + 0.0890657i
\(653\) 3.30886 + 7.98830i 0.129486 + 0.312606i 0.975305 0.220864i \(-0.0708877\pi\)
−0.845819 + 0.533470i \(0.820888\pi\)
\(654\) 1.40603 + 38.9226i 0.0549800 + 1.52200i
\(655\) 14.6165i 0.571115i
\(656\) 1.86984 2.50633i 0.0730051 0.0978559i
\(657\) 50.4847i 1.96960i
\(658\) −17.5005 + 0.632181i −0.682239 + 0.0246450i
\(659\) −15.6304 37.7350i −0.608872 1.46995i −0.864228 0.503100i \(-0.832193\pi\)
0.255356 0.966847i \(-0.417807\pi\)
\(660\) −95.3671 31.6548i −3.71216 1.23216i
\(661\) 20.5509 + 8.51245i 0.799336 + 0.331096i 0.744690 0.667410i \(-0.232597\pi\)
0.0546455 + 0.998506i \(0.482597\pi\)
\(662\) −0.318362 0.696364i −0.0123735 0.0270650i
\(663\) 7.49990 7.49990i 0.291272 0.291272i
\(664\) −25.3656 7.41431i −0.984377 0.287731i
\(665\) 12.7528 + 12.7528i 0.494531 + 0.494531i
\(666\) −6.91882 + 18.5732i −0.268099 + 0.719698i
\(667\) 1.87867 4.53550i 0.0727422 0.175615i
\(668\) −11.3224 + 13.0883i −0.438076 + 0.506401i
\(669\) −19.0804 + 7.90335i −0.737690 + 0.305561i
\(670\) −32.3159 + 34.7381i −1.24847 + 1.34205i
\(671\) 23.9555 0.924793
\(672\) 8.22211 + 12.7367i 0.317175 + 0.491327i
\(673\) −13.0268 −0.502147 −0.251073 0.967968i \(-0.580784\pi\)
−0.251073 + 0.967968i \(0.580784\pi\)
\(674\) −2.21131 + 2.37706i −0.0851764 + 0.0915608i
\(675\) −15.7246 + 6.51336i −0.605241 + 0.250699i
\(676\) 0.901121 + 0.779539i 0.0346585 + 0.0299823i
\(677\) −3.47399 + 8.38695i −0.133516 + 0.322337i −0.976471 0.215647i \(-0.930814\pi\)
0.842955 + 0.537984i \(0.180814\pi\)
\(678\) 12.9884 34.8666i 0.498815 1.33904i
\(679\) −0.832854 0.832854i −0.0319620 0.0319620i
\(680\) −8.97843 + 4.91687i −0.344307 + 0.188553i
\(681\) 10.7654 10.7654i 0.412529 0.412529i
\(682\) 2.12527 + 4.64866i 0.0813807 + 0.178007i
\(683\) 20.5580 + 8.51541i 0.786631 + 0.325833i 0.739588 0.673060i \(-0.235020\pi\)
0.0470427 + 0.998893i \(0.485020\pi\)
\(684\) 14.7548 44.4522i 0.564165 1.69967i
\(685\) 17.0396 + 41.1371i 0.651048 + 1.57177i
\(686\) 1.41329 0.0510532i 0.0539597 0.00194922i
\(687\) 33.4957i 1.27794i
\(688\) 29.0892 + 7.37404i 1.10902 + 0.281133i
\(689\) 10.5098i 0.400391i
\(690\) 1.02070 + 28.2557i 0.0388574 + 1.07568i
\(691\) −2.26569 5.46986i −0.0861909 0.208083i 0.874907 0.484291i \(-0.160922\pi\)
−0.961098 + 0.276208i \(0.910922\pi\)
\(692\) −32.0406 + 16.0711i −1.21800 + 0.610931i
\(693\) 22.4903 + 9.31578i 0.854335 + 0.353877i
\(694\) 0.394065 0.180158i 0.0149585 0.00683870i
\(695\) 15.8938 15.8938i 0.602885 0.602885i
\(696\) 1.73681 + 15.9707i 0.0658335 + 0.605368i
\(697\) −0.621171 0.621171i −0.0235285 0.0235285i
\(698\) 27.0561 + 10.0788i 1.02409 + 0.381489i
\(699\) −8.45153 + 20.4038i −0.319666 + 0.771743i
\(700\) 10.7177 0.775338i 0.405092 0.0293050i
\(701\) 40.4514 16.7555i 1.52783 0.632847i 0.548687 0.836028i \(-0.315128\pi\)
0.979141 + 0.203180i \(0.0651277\pi\)
\(702\) 11.5524 + 10.7469i 0.436018 + 0.405615i
\(703\) −18.7660 −0.707772
\(704\) 8.15595 45.8474i 0.307389 1.72794i
\(705\) 106.879 4.02529
\(706\) −14.1365 13.1508i −0.532035 0.494937i
\(707\) 5.13436 2.12672i 0.193097 0.0799835i
\(708\) −69.8488 + 5.05298i −2.62508 + 0.189903i
\(709\) 12.7979 30.8968i 0.480634 1.16035i −0.478675 0.877992i \(-0.658883\pi\)
0.959309 0.282360i \(-0.0911172\pi\)
\(710\) 60.6408 + 22.5897i 2.27581 + 0.847776i
\(711\) 21.9115 + 21.9115i 0.821744 + 0.821744i
\(712\) −35.8744 + 3.90133i −1.34445 + 0.146208i
\(713\) 1.01701 1.01701i 0.0380872 0.0380872i
\(714\) 3.87333 1.77080i 0.144956 0.0662706i
\(715\) 61.0015 + 25.2676i 2.28133 + 0.944956i
\(716\) −30.5648 + 15.3308i −1.14226 + 0.572941i
\(717\) 5.36790 + 12.9593i 0.200468 + 0.483972i
\(718\) −0.740161 20.4897i −0.0276226 0.764668i
\(719\) 38.6027i 1.43964i 0.694162 + 0.719818i \(0.255775\pi\)
−0.694162 + 0.719818i \(0.744225\pi\)
\(720\) −27.5671 46.2895i −1.02736 1.72511i
\(721\) 0.0961082i 0.00357926i
\(722\) 17.4646 0.630883i 0.649963 0.0234790i
\(723\) 0.617743 + 1.49136i 0.0229741 + 0.0554644i
\(724\) 8.60468 25.9235i 0.319790 0.963439i
\(725\) 10.5203 + 4.35767i 0.390716 + 0.161840i
\(726\) −36.0596 78.8743i −1.33830 2.92730i
\(727\) 15.7873 15.7873i 0.585518 0.585518i −0.350896 0.936414i \(-0.614123\pi\)
0.936414 + 0.350896i \(0.114123\pi\)
\(728\) −4.78480 8.73726i −0.177336 0.323824i
\(729\) 30.0050 + 30.0050i 1.11130 + 1.11130i
\(730\) 19.1939 51.5250i 0.710397 1.90702i
\(731\) 3.22624 7.78884i 0.119327 0.288081i
\(732\) 16.6822 + 14.4314i 0.616593 + 0.533400i
\(733\) 19.7726 8.19007i 0.730317 0.302507i 0.0136346 0.999907i \(-0.495660\pi\)
0.716682 + 0.697400i \(0.245660\pi\)
\(734\) 3.76072 4.04260i 0.138811 0.149215i
\(735\) −8.63125 −0.318368
\(736\) −12.8902 + 2.35281i −0.475139 + 0.0867258i
\(737\) −60.6344 −2.23350
\(738\) 3.14914 3.38519i 0.115922 0.124611i
\(739\) −35.5446 + 14.7231i −1.30753 + 0.541597i −0.924163 0.381999i \(-0.875236\pi\)
−0.383368 + 0.923596i \(0.625236\pi\)
\(740\) −14.1228 + 16.3255i −0.519164 + 0.600136i
\(741\) −20.2264 + 48.8309i −0.743036 + 1.79385i
\(742\) −1.47316 + 3.95463i −0.0540815 + 0.145179i
\(743\) 26.2045 + 26.2045i 0.961351 + 0.961351i 0.999280 0.0379295i \(-0.0120762\pi\)
−0.0379295 + 0.999280i \(0.512076\pi\)
\(744\) −1.32047 + 4.51757i −0.0484109 + 0.165622i
\(745\) 35.1932 35.1932i 1.28938 1.28938i
\(746\) −2.34839 5.13671i −0.0859807 0.188068i
\(747\) −36.1000 14.9531i −1.32083 0.547106i
\(748\) −12.4161 4.12123i −0.453978 0.150687i
\(749\) −1.50081 3.62328i −0.0548385 0.132392i
\(750\) −4.54841 + 0.164305i −0.166085 + 0.00599958i
\(751\) 27.5199i 1.00421i −0.864805 0.502107i \(-0.832558\pi\)
0.864805 0.502107i \(-0.167442\pi\)
\(752\) 7.12902 + 49.0154i 0.259968 + 1.78741i
\(753\) 26.2692i 0.957304i
\(754\) −0.381081 10.5493i −0.0138781 0.384184i
\(755\) 6.91285 + 16.6891i 0.251584 + 0.607378i
\(756\) 2.84055 + 5.66316i 0.103310 + 0.205967i
\(757\) −9.91107 4.10530i −0.360224 0.149210i 0.195229 0.980758i \(-0.437455\pi\)
−0.555453 + 0.831548i \(0.687455\pi\)
\(758\) 15.6800 7.16856i 0.569524 0.260374i
\(759\) −25.5506 + 25.5506i −0.927428 + 0.927428i
\(760\) 31.9592 39.7585i 1.15928 1.44219i
\(761\) −25.5121 25.5121i −0.924812 0.924812i 0.0725526 0.997365i \(-0.476885\pi\)
−0.997365 + 0.0725526i \(0.976885\pi\)
\(762\) −52.0431 19.3869i −1.88532 0.702313i
\(763\) 3.93266 9.49427i 0.142372 0.343716i
\(764\) −2.89006 39.9502i −0.104559 1.44535i
\(765\) −13.9835 + 5.79214i −0.505573 + 0.209415i
\(766\) −17.8716 16.6255i −0.645729 0.600703i
\(767\) 46.0176 1.66160
\(768\) 33.2993 27.0140i 1.20159 0.974786i
\(769\) −16.1430 −0.582130 −0.291065 0.956703i \(-0.594010\pi\)
−0.291065 + 0.956703i \(0.594010\pi\)
\(770\) 19.4119 + 18.0584i 0.699557 + 0.650778i
\(771\) −7.32582 + 3.03445i −0.263833 + 0.109283i
\(772\) 2.25671 + 31.1952i 0.0812209 + 1.12274i
\(773\) −7.53363 + 18.1878i −0.270966 + 0.654170i −0.999525 0.0308132i \(-0.990190\pi\)
0.728559 + 0.684983i \(0.240190\pi\)
\(774\) 41.5798 + 15.4892i 1.49456