Properties

Label 475.2.bc.a.6.14
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.14
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.05096 - 0.656713i) q^{2} +(3.06632 - 0.879252i) q^{3} +(-0.203496 - 0.417228i) q^{4} +(1.91224 - 1.15903i) q^{5} +(-3.79999 - 1.08963i) q^{6} +(-0.887411 + 1.53704i) q^{7} +(-0.319211 + 3.03709i) q^{8} +(6.08506 - 3.80237i) q^{9} +O(q^{10})\) \(q+(-1.05096 - 0.656713i) q^{2} +(3.06632 - 0.879252i) q^{3} +(-0.203496 - 0.417228i) q^{4} +(1.91224 - 1.15903i) q^{5} +(-3.79999 - 1.08963i) q^{6} +(-0.887411 + 1.53704i) q^{7} +(-0.319211 + 3.03709i) q^{8} +(6.08506 - 3.80237i) q^{9} +(-2.77084 - 0.0377008i) q^{10} +(0.0524015 - 0.0581978i) q^{11} +(-0.990830 - 1.10043i) q^{12} +(0.0328451 + 0.940560i) q^{13} +(1.94203 - 1.03260i) q^{14} +(4.84445 - 5.23528i) q^{15} +(1.75839 - 2.25063i) q^{16} +(4.15450 - 0.290511i) q^{17} -8.89223 q^{18} +(2.38968 - 3.64546i) q^{19} +(-0.872710 - 0.561982i) q^{20} +(-1.36964 + 5.49331i) q^{21} +(-0.0932912 + 0.0267508i) q^{22} +(-8.82381 + 1.24011i) q^{23} +(1.69157 + 9.59335i) q^{24} +(2.31331 - 4.43267i) q^{25} +(0.583159 - 1.01006i) q^{26} +(8.91213 - 9.89793i) q^{27} +(0.821880 + 0.0574714i) q^{28} +(-0.853856 - 0.0597074i) q^{29} +(-8.52941 + 2.32066i) q^{30} +(-9.29246 + 4.13727i) q^{31} +(2.41329 - 0.878365i) q^{32} +(0.109509 - 0.224527i) q^{33} +(-4.55700 - 2.42300i) q^{34} +(0.0845297 + 3.96772i) q^{35} +(-2.82474 - 1.76509i) q^{36} +(-2.21694 + 6.82305i) q^{37} +(-4.90549 + 2.26190i) q^{38} +(0.927702 + 2.85517i) q^{39} +(2.90966 + 6.17762i) q^{40} +(-6.03769 + 7.72789i) q^{41} +(5.04696 - 4.87380i) q^{42} +(-0.458745 - 2.60167i) q^{43} +(-0.0349452 - 0.0100204i) q^{44} +(7.22905 - 14.3238i) q^{45} +(10.0879 + 4.49141i) q^{46} +(0.397653 + 0.0278066i) q^{47} +(3.41290 - 8.44722i) q^{48} +(1.92500 + 3.33421i) q^{49} +(-5.34220 + 3.13938i) q^{50} +(12.4836 - 4.54365i) q^{51} +(0.385744 - 0.205104i) q^{52} +(0.385363 + 0.790112i) q^{53} +(-15.8664 + 4.54962i) q^{54} +(0.0327514 - 0.172023i) q^{55} +(-4.38486 - 3.18579i) q^{56} +(4.12224 - 13.2793i) q^{57} +(0.858159 + 0.623489i) q^{58} +(-3.01749 - 7.46855i) q^{59} +(-3.17013 - 0.955883i) q^{60} +(7.01217 - 0.985496i) q^{61} +(12.4830 + 1.75437i) q^{62} +(0.444445 + 12.7273i) q^{63} +(-8.70047 - 1.84934i) q^{64} +(1.15294 + 1.76051i) q^{65} +(-0.262540 + 0.164053i) q^{66} +(-0.208176 - 0.834948i) q^{67} +(-0.966632 - 1.67426i) q^{68} +(-25.9662 + 11.5609i) q^{69} +(2.51682 - 4.22543i) q^{70} +(-9.31522 - 8.99560i) q^{71} +(9.60573 + 19.6947i) q^{72} +(-0.430714 + 12.3340i) q^{73} +(6.81071 - 5.71487i) q^{74} +(3.19592 - 15.6260i) q^{75} +(-2.00728 - 0.255207i) q^{76} +(0.0429507 + 0.132189i) q^{77} +(0.900052 - 3.60991i) q^{78} +(8.18566 - 2.34720i) q^{79} +(0.753912 - 6.34176i) q^{80} +(9.18821 - 18.8386i) q^{81} +(11.4204 - 4.15668i) q^{82} +(8.73888 - 3.89080i) q^{83} +(2.57068 - 0.546414i) q^{84} +(7.60769 - 5.37070i) q^{85} +(-1.22643 + 3.03552i) q^{86} +(-2.67069 + 0.567673i) q^{87} +(0.160025 + 0.177726i) q^{88} +(-0.713941 - 0.913803i) q^{89} +(-17.0041 + 10.3063i) q^{90} +(-1.47483 - 0.784179i) q^{91} +(2.31301 + 3.42918i) q^{92} +(-24.8559 + 20.8566i) q^{93} +(-0.399657 - 0.290368i) q^{94} +(0.344457 - 9.74071i) q^{95} +(6.62760 - 4.81523i) q^{96} +(-1.30205 + 5.22223i) q^{97} +(0.166513 - 4.76830i) q^{98} +(0.0975771 - 0.553387i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05096 0.656713i −0.743142 0.464366i 0.104775 0.994496i \(-0.466588\pi\)
−0.847917 + 0.530129i \(0.822143\pi\)
\(3\) 3.06632 0.879252i 1.77034 0.507636i 0.777687 0.628651i \(-0.216393\pi\)
0.992651 + 0.121015i \(0.0386148\pi\)
\(4\) −0.203496 0.417228i −0.101748 0.208614i
\(5\) 1.91224 1.15903i 0.855179 0.518332i
\(6\) −3.79999 1.08963i −1.55134 0.444840i
\(7\) −0.887411 + 1.53704i −0.335410 + 0.580947i −0.983563 0.180563i \(-0.942208\pi\)
0.648154 + 0.761510i \(0.275541\pi\)
\(8\) −0.319211 + 3.03709i −0.112858 + 1.07377i
\(9\) 6.08506 3.80237i 2.02835 1.26746i
\(10\) −2.77084 0.0377008i −0.876216 0.0119221i
\(11\) 0.0524015 0.0581978i 0.0157997 0.0175473i −0.735193 0.677858i \(-0.762909\pi\)
0.750993 + 0.660310i \(0.229575\pi\)
\(12\) −0.990830 1.10043i −0.286028 0.317666i
\(13\) 0.0328451 + 0.940560i 0.00910958 + 0.260864i 0.995398 + 0.0958312i \(0.0305509\pi\)
−0.986288 + 0.165033i \(0.947227\pi\)
\(14\) 1.94203 1.03260i 0.519029 0.275973i
\(15\) 4.84445 5.23528i 1.25083 1.35174i
\(16\) 1.75839 2.25063i 0.439597 0.562658i
\(17\) 4.15450 0.290511i 1.00761 0.0704593i 0.443601 0.896225i \(-0.353701\pi\)
0.564014 + 0.825765i \(0.309256\pi\)
\(18\) −8.89223 −2.09592
\(19\) 2.38968 3.64546i 0.548231 0.836327i
\(20\) −0.872710 0.561982i −0.195144 0.125663i
\(21\) −1.36964 + 5.49331i −0.298879 + 1.19874i
\(22\) −0.0932912 + 0.0267508i −0.0198898 + 0.00570330i
\(23\) −8.82381 + 1.24011i −1.83989 + 0.258580i −0.971455 0.237223i \(-0.923763\pi\)
−0.868435 + 0.495802i \(0.834874\pi\)
\(24\) 1.69157 + 9.59335i 0.345290 + 1.95823i
\(25\) 2.31331 4.43267i 0.462663 0.886534i
\(26\) 0.583159 1.01006i 0.114367 0.198089i
\(27\) 8.91213 9.89793i 1.71514 1.90486i
\(28\) 0.821880 + 0.0574714i 0.155321 + 0.0108611i
\(29\) −0.853856 0.0597074i −0.158557 0.0110874i −0.00974268 0.999953i \(-0.503101\pi\)
−0.148814 + 0.988865i \(0.547546\pi\)
\(30\) −8.52941 + 2.32066i −1.55725 + 0.423693i
\(31\) −9.29246 + 4.13727i −1.66898 + 0.743076i −1.00000 0.000208606i \(-0.999934\pi\)
−0.668976 + 0.743284i \(0.733267\pi\)
\(32\) 2.41329 0.878365i 0.426613 0.155275i
\(33\) 0.109509 0.224527i 0.0190631 0.0390851i
\(34\) −4.55700 2.42300i −0.781519 0.415541i
\(35\) 0.0845297 + 3.96772i 0.0142881 + 0.670667i
\(36\) −2.82474 1.76509i −0.470790 0.294182i
\(37\) −2.21694 + 6.82305i −0.364463 + 1.12170i 0.585853 + 0.810417i \(0.300760\pi\)
−0.950316 + 0.311286i \(0.899240\pi\)
\(38\) −4.90549 + 2.26190i −0.795776 + 0.366929i
\(39\) 0.927702 + 2.85517i 0.148551 + 0.457194i
\(40\) 2.90966 + 6.17762i 0.460058 + 0.976767i
\(41\) −6.03769 + 7.72789i −0.942929 + 1.20689i 0.0353024 + 0.999377i \(0.488761\pi\)
−0.978231 + 0.207517i \(0.933462\pi\)
\(42\) 5.04696 4.87380i 0.778763 0.752043i
\(43\) −0.458745 2.60167i −0.0699579 0.396751i −0.999600 0.0282868i \(-0.990995\pi\)
0.929642 0.368464i \(-0.120116\pi\)
\(44\) −0.0349452 0.0100204i −0.00526819 0.00151063i
\(45\) 7.22905 14.3238i 1.07764 2.13526i
\(46\) 10.0879 + 4.49141i 1.48738 + 0.662222i
\(47\) 0.397653 + 0.0278066i 0.0580037 + 0.00405601i 0.0987288 0.995114i \(-0.468522\pi\)
−0.0407252 + 0.999170i \(0.512967\pi\)
\(48\) 3.41290 8.44722i 0.492609 1.21925i
\(49\) 1.92500 + 3.33421i 0.275001 + 0.476315i
\(50\) −5.34220 + 3.13938i −0.755501 + 0.443976i
\(51\) 12.4836 4.54365i 1.74805 0.636238i
\(52\) 0.385744 0.205104i 0.0534930 0.0284427i
\(53\) 0.385363 + 0.790112i 0.0529337 + 0.108530i 0.923621 0.383306i \(-0.125215\pi\)
−0.870688 + 0.491837i \(0.836326\pi\)
\(54\) −15.8664 + 4.54962i −2.15914 + 0.619125i
\(55\) 0.0327514 0.172023i 0.00441620 0.0231956i
\(56\) −4.38486 3.18579i −0.585952 0.425719i
\(57\) 4.12224 13.2793i 0.546005 1.75888i
\(58\) 0.858159 + 0.623489i 0.112682 + 0.0818681i
\(59\) −3.01749 7.46855i −0.392844 0.972323i −0.985926 0.167181i \(-0.946534\pi\)
0.593082 0.805142i \(-0.297911\pi\)
\(60\) −3.17013 0.955883i −0.409262 0.123404i
\(61\) 7.01217 0.985496i 0.897816 0.126180i 0.324856 0.945763i \(-0.394684\pi\)
0.572960 + 0.819584i \(0.305795\pi\)
\(62\) 12.4830 + 1.75437i 1.58534 + 0.222806i
\(63\) 0.444445 + 12.7273i 0.0559949 + 1.60348i
\(64\) −8.70047 1.84934i −1.08756 0.231168i
\(65\) 1.15294 + 1.76051i 0.143005 + 0.218364i
\(66\) −0.262540 + 0.164053i −0.0323164 + 0.0201935i
\(67\) −0.208176 0.834948i −0.0254327 0.102005i 0.956238 0.292590i \(-0.0945171\pi\)
−0.981671 + 0.190585i \(0.938962\pi\)
\(68\) −0.966632 1.67426i −0.117221 0.203033i
\(69\) −25.9662 + 11.5609i −3.12596 + 1.39177i
\(70\) 2.51682 4.22543i 0.300817 0.505036i
\(71\) −9.31522 8.99560i −1.10551 1.06758i −0.997299 0.0734541i \(-0.976598\pi\)
−0.108215 0.994128i \(-0.534513\pi\)
\(72\) 9.60573 + 19.6947i 1.13205 + 2.32104i
\(73\) −0.430714 + 12.3340i −0.0504112 + 1.44359i 0.666022 + 0.745932i \(0.267996\pi\)
−0.716433 + 0.697656i \(0.754226\pi\)
\(74\) 6.81071 5.71487i 0.791729 0.664340i
\(75\) 3.19592 15.6260i 0.369033 1.80433i
\(76\) −2.00728 0.255207i −0.230251 0.0292742i
\(77\) 0.0429507 + 0.132189i 0.00489468 + 0.0150643i
\(78\) 0.900052 3.60991i 0.101911 0.408742i
\(79\) 8.18566 2.34720i 0.920958 0.264081i 0.218526 0.975831i \(-0.429875\pi\)
0.702432 + 0.711751i \(0.252097\pi\)
\(80\) 0.753912 6.34176i 0.0842900 0.709031i
\(81\) 9.18821 18.8386i 1.02091 2.09318i
\(82\) 11.4204 4.15668i 1.26117 0.459029i
\(83\) 8.73888 3.89080i 0.959216 0.427071i 0.133433 0.991058i \(-0.457400\pi\)
0.825783 + 0.563987i \(0.190733\pi\)
\(84\) 2.57068 0.546414i 0.280484 0.0596186i
\(85\) 7.60769 5.37070i 0.825170 0.582535i
\(86\) −1.22643 + 3.03552i −0.132249 + 0.327328i
\(87\) −2.67069 + 0.567673i −0.286328 + 0.0608609i
\(88\) 0.160025 + 0.177726i 0.0170587 + 0.0189456i
\(89\) −0.713941 0.913803i −0.0756776 0.0968629i 0.748682 0.662929i \(-0.230687\pi\)
−0.824360 + 0.566066i \(0.808465\pi\)
\(90\) −17.0041 + 10.3063i −1.79239 + 1.08638i
\(91\) −1.47483 0.784179i −0.154604 0.0822043i
\(92\) 2.31301 + 3.42918i 0.241148 + 0.357517i
\(93\) −24.8559 + 20.8566i −2.57744 + 2.16273i
\(94\) −0.399657 0.290368i −0.0412215 0.0299491i
\(95\) 0.344457 9.74071i 0.0353405 0.999375i
\(96\) 6.62760 4.81523i 0.676427 0.491453i
\(97\) −1.30205 + 5.22223i −0.132203 + 0.530237i 0.867272 + 0.497835i \(0.165871\pi\)
−0.999475 + 0.0324024i \(0.989684\pi\)
\(98\) 0.166513 4.76830i 0.0168203 0.481671i
\(99\) 0.0975771 0.553387i 0.00980687 0.0556175i
\(100\) −2.32018 0.0631499i −0.232018 0.00631499i
\(101\) −3.40492 + 1.23929i −0.338803 + 0.123314i −0.505818 0.862640i \(-0.668809\pi\)
0.167015 + 0.985954i \(0.446587\pi\)
\(102\) −16.1036 3.42293i −1.59450 0.338921i
\(103\) 17.9226 + 7.97964i 1.76596 + 0.786257i 0.987310 + 0.158802i \(0.0507631\pi\)
0.778652 + 0.627456i \(0.215904\pi\)
\(104\) −2.86705 0.200484i −0.281137 0.0196590i
\(105\) 3.74782 + 12.0920i 0.365750 + 1.18005i
\(106\) 0.113875 1.08345i 0.0110605 0.105234i
\(107\) 0.907607 1.57202i 0.0877416 0.151973i −0.818815 0.574058i \(-0.805368\pi\)
0.906556 + 0.422085i \(0.138702\pi\)
\(108\) −5.94327 1.70420i −0.571891 0.163987i
\(109\) 10.6420 + 1.49563i 1.01932 + 0.143256i 0.628984 0.777418i \(-0.283471\pi\)
0.390333 + 0.920674i \(0.372360\pi\)
\(110\) −0.147390 + 0.159281i −0.0140531 + 0.0151868i
\(111\) −0.798669 + 22.8709i −0.0758063 + 2.17081i
\(112\) 1.89890 + 4.69995i 0.179429 + 0.444103i
\(113\) −0.106058 + 0.326413i −0.00997711 + 0.0307064i −0.955921 0.293624i \(-0.905139\pi\)
0.945944 + 0.324330i \(0.105139\pi\)
\(114\) −13.0530 + 11.2489i −1.22253 + 1.05355i
\(115\) −15.4359 + 12.5984i −1.43941 + 1.17481i
\(116\) 0.148844 + 0.368402i 0.0138198 + 0.0342053i
\(117\) 3.77622 + 5.59848i 0.349112 + 0.517579i
\(118\) −1.73343 + 9.83079i −0.159575 + 0.904997i
\(119\) −3.24022 + 6.64344i −0.297031 + 0.609003i
\(120\) 14.3536 + 16.3842i 1.31030 + 1.49567i
\(121\) 1.14917 + 10.9336i 0.104470 + 0.993967i
\(122\) −8.01670 3.56927i −0.725798 0.323146i
\(123\) −11.7187 + 29.0048i −1.05664 + 2.61528i
\(124\) 3.61716 + 3.03516i 0.324830 + 0.272565i
\(125\) −0.713975 11.1575i −0.0638599 0.997959i
\(126\) 7.89106 13.6677i 0.702992 1.21762i
\(127\) 7.32016 + 9.36938i 0.649560 + 0.831398i 0.994224 0.107328i \(-0.0342294\pi\)
−0.344664 + 0.938726i \(0.612007\pi\)
\(128\) 4.23460 + 4.08930i 0.374289 + 0.361447i
\(129\) −3.69418 7.57419i −0.325254 0.666870i
\(130\) −0.0555484 2.60738i −0.00487192 0.228682i
\(131\) 2.39096 0.167192i 0.208899 0.0146076i 0.0350764 0.999385i \(-0.488833\pi\)
0.173823 + 0.984777i \(0.444388\pi\)
\(132\) −0.115963 −0.0100933
\(133\) 3.48259 + 6.90807i 0.301979 + 0.599005i
\(134\) −0.329537 + 1.01421i −0.0284676 + 0.0876144i
\(135\) 5.57017 29.2566i 0.479404 2.51801i
\(136\) −0.443855 + 12.7103i −0.0380602 + 1.08990i
\(137\) −7.43960 3.95571i −0.635608 0.337959i 0.120202 0.992749i \(-0.461646\pi\)
−0.755810 + 0.654791i \(0.772757\pi\)
\(138\) 34.8817 + 4.90230i 2.96933 + 0.417311i
\(139\) −3.01671 3.86121i −0.255874 0.327503i 0.642872 0.765974i \(-0.277743\pi\)
−0.898746 + 0.438470i \(0.855520\pi\)
\(140\) 1.63824 0.842682i 0.138457 0.0712196i
\(141\) 1.24378 0.264373i 0.104745 0.0222643i
\(142\) 3.88240 + 15.5715i 0.325804 + 1.30673i
\(143\) 0.0564596 + 0.0473752i 0.00472139 + 0.00396172i
\(144\) 2.14216 20.3813i 0.178513 1.69844i
\(145\) −1.70198 + 0.875467i −0.141342 + 0.0727036i
\(146\) 8.55258 12.6797i 0.707817 1.04938i
\(147\) 8.83428 + 8.53116i 0.728639 + 0.703638i
\(148\) 3.29790 0.463490i 0.271086 0.0380987i
\(149\) −11.8933 4.32881i −0.974339 0.354630i −0.194702 0.980862i \(-0.562374\pi\)
−0.779637 + 0.626232i \(0.784596\pi\)
\(150\) −13.6206 + 14.3235i −1.11211 + 1.16951i
\(151\) −12.5001 −1.01724 −0.508622 0.860990i \(-0.669845\pi\)
−0.508622 + 0.860990i \(0.669845\pi\)
\(152\) 10.3088 + 8.42136i 0.836154 + 0.683063i
\(153\) 24.1758 17.5647i 1.95450 1.42002i
\(154\) 0.0416705 0.167131i 0.00335791 0.0134678i
\(155\) −12.9742 + 18.6817i −1.04211 + 1.50055i
\(156\) 1.00247 0.968078i 0.0802622 0.0775083i
\(157\) −1.08742 6.16705i −0.0867853 0.492184i −0.996957 0.0779529i \(-0.975162\pi\)
0.910172 0.414231i \(-0.135949\pi\)
\(158\) −10.1442 2.90881i −0.807033 0.231413i
\(159\) 1.87635 + 2.08390i 0.148804 + 0.165264i
\(160\) 3.59674 4.47671i 0.284347 0.353915i
\(161\) 5.92425 14.6630i 0.466896 1.15561i
\(162\) −22.0280 + 13.7646i −1.73069 + 1.08145i
\(163\) 5.49904 1.16886i 0.430718 0.0915520i 0.0125494 0.999921i \(-0.496005\pi\)
0.418169 + 0.908369i \(0.362672\pi\)
\(164\) 4.45293 + 0.946500i 0.347716 + 0.0739093i
\(165\) −0.0508251 0.556273i −0.00395673 0.0433058i
\(166\) −11.7394 1.64986i −0.911151 0.128054i
\(167\) −6.19088 + 5.97847i −0.479065 + 0.462628i −0.894547 0.446974i \(-0.852502\pi\)
0.415482 + 0.909601i \(0.363613\pi\)
\(168\) −16.2465 5.91324i −1.25344 0.456216i
\(169\) 12.0848 0.845049i 0.929597 0.0650037i
\(170\) −11.5224 + 0.648330i −0.883728 + 0.0497247i
\(171\) 0.679978 31.2693i 0.0519992 2.39123i
\(172\) −0.992136 + 0.720829i −0.0756497 + 0.0549627i
\(173\) 0.265835 + 0.166112i 0.0202110 + 0.0126293i 0.539987 0.841673i \(-0.318429\pi\)
−0.519776 + 0.854303i \(0.673985\pi\)
\(174\) 3.17959 + 1.15728i 0.241044 + 0.0877328i
\(175\) 4.76034 + 7.48926i 0.359848 + 0.566135i
\(176\) −0.0388397 0.220271i −0.00292765 0.0166035i
\(177\) −15.8193 20.2478i −1.18905 1.52192i
\(178\) 0.150218 + 1.42923i 0.0112593 + 0.107125i
\(179\) −6.70190 2.98388i −0.500923 0.223025i 0.140690 0.990054i \(-0.455068\pi\)
−0.641613 + 0.767028i \(0.721735\pi\)
\(180\) −7.44736 0.101331i −0.555093 0.00755277i
\(181\) −1.40553 5.63727i −0.104472 0.419015i 0.895171 0.445722i \(-0.147053\pi\)
−0.999643 + 0.0267078i \(0.991498\pi\)
\(182\) 1.03500 + 1.79268i 0.0767196 + 0.132882i
\(183\) 20.6350 9.18730i 1.52538 0.679145i
\(184\) −0.949655 27.1946i −0.0700095 2.00481i
\(185\) 3.66877 + 15.6168i 0.269734 + 1.14817i
\(186\) 39.8194 5.59625i 2.91970 0.410337i
\(187\) 0.200795 0.257006i 0.0146836 0.0187941i
\(188\) −0.0693189 0.171570i −0.00505560 0.0125131i
\(189\) 7.30479 + 22.4818i 0.531345 + 1.63531i
\(190\) −6.75886 + 10.0109i −0.490339 + 0.726267i
\(191\) −1.10425 + 3.39853i −0.0799007 + 0.245909i −0.983025 0.183469i \(-0.941267\pi\)
0.903125 + 0.429378i \(0.141267\pi\)
\(192\) −28.3044 + 1.97924i −2.04270 + 0.142839i
\(193\) −0.691763 0.251781i −0.0497942 0.0181236i 0.317003 0.948425i \(-0.397323\pi\)
−0.366797 + 0.930301i \(0.619546\pi\)
\(194\) 4.79791 4.63329i 0.344470 0.332651i
\(195\) 5.08321 + 4.38454i 0.364016 + 0.313984i
\(196\) 0.999393 1.48166i 0.0713852 0.105833i
\(197\) −0.658031 6.26075i −0.0468828 0.446060i −0.992633 0.121164i \(-0.961337\pi\)
0.945750 0.324896i \(-0.105329\pi\)
\(198\) −0.465966 + 0.517508i −0.0331148 + 0.0367777i
\(199\) −19.6912 16.5229i −1.39587 1.17127i −0.962897 0.269868i \(-0.913020\pi\)
−0.432973 0.901407i \(-0.642535\pi\)
\(200\) 12.7240 + 8.44071i 0.899722 + 0.596848i
\(201\) −1.37246 2.37718i −0.0968061 0.167673i
\(202\) 4.39230 + 0.933613i 0.309041 + 0.0656888i
\(203\) 0.849494 1.25943i 0.0596228 0.0883944i
\(204\) −4.43609 4.28388i −0.310588 0.299932i
\(205\) −2.58867 + 21.7754i −0.180801 + 1.52086i
\(206\) −13.5956 20.1563i −0.947249 1.40435i
\(207\) −48.9781 + 41.0975i −3.40421 + 2.85647i
\(208\) 2.17461 + 1.57995i 0.150782 + 0.109550i
\(209\) −0.0869348 0.330102i −0.00601341 0.0228336i
\(210\) 4.00214 15.1694i 0.276174 1.04679i
\(211\) −11.9357 7.45825i −0.821687 0.513447i 0.0527378 0.998608i \(-0.483205\pi\)
−0.874425 + 0.485161i \(0.838761\pi\)
\(212\) 0.251237 0.321568i 0.0172550 0.0220854i
\(213\) −36.4728 19.3929i −2.49908 1.32878i
\(214\) −1.98623 + 1.05610i −0.135776 + 0.0721932i
\(215\) −3.89263 4.44332i −0.265475 0.303032i
\(216\) 27.2161 + 30.2265i 1.85182 + 2.05665i
\(217\) 1.88708 17.9544i 0.128103 1.21882i
\(218\) −10.2021 8.56059i −0.690974 0.579796i
\(219\) 9.52401 + 38.1987i 0.643573 + 2.58123i
\(220\) −0.0784374 + 0.0213411i −0.00528825 + 0.00143881i
\(221\) 0.409698 + 3.89801i 0.0275593 + 0.262209i
\(222\) 15.8590 23.5119i 1.06439 1.57802i
\(223\) 17.6420 9.38041i 1.18139 0.628159i 0.241759 0.970336i \(-0.422276\pi\)
0.939635 + 0.342178i \(0.111164\pi\)
\(224\) −0.791495 + 4.48879i −0.0528840 + 0.299920i
\(225\) −2.77799 35.7692i −0.185199 2.38461i
\(226\) 0.325823 0.273398i 0.0216734 0.0181862i
\(227\) 5.10530 + 15.7125i 0.338851 + 1.04288i 0.964794 + 0.263007i \(0.0847142\pi\)
−0.625943 + 0.779869i \(0.715286\pi\)
\(228\) −6.37934 + 0.982359i −0.422482 + 0.0650583i
\(229\) 5.80704 4.21906i 0.383740 0.278803i −0.379145 0.925337i \(-0.623782\pi\)
0.762885 + 0.646534i \(0.223782\pi\)
\(230\) 24.4961 3.10346i 1.61522 0.204636i
\(231\) 0.247927 + 0.367567i 0.0163124 + 0.0241842i
\(232\) 0.453897 2.57418i 0.0297998 0.169003i
\(233\) −1.45598 + 2.98520i −0.0953843 + 0.195567i −0.941151 0.337986i \(-0.890254\pi\)
0.845767 + 0.533553i \(0.179143\pi\)
\(234\) −0.292066 8.36368i −0.0190929 0.546751i
\(235\) 0.792636 0.407718i 0.0517059 0.0265966i
\(236\) −2.50204 + 2.77880i −0.162869 + 0.180884i
\(237\) 23.0360 14.3945i 1.49635 0.935024i
\(238\) 7.76818 4.85410i 0.503536 0.314645i
\(239\) −8.76875 + 9.73868i −0.567203 + 0.629943i −0.956697 0.291086i \(-0.905983\pi\)
0.389494 + 0.921029i \(0.372650\pi\)
\(240\) −3.26428 20.1087i −0.210708 1.29801i
\(241\) 0.776442 + 22.2344i 0.0500150 + 1.43224i 0.722110 + 0.691778i \(0.243172\pi\)
−0.672095 + 0.740465i \(0.734605\pi\)
\(242\) 5.97253 12.2455i 0.383929 0.787171i
\(243\) 4.67161 26.4940i 0.299684 1.69959i
\(244\) −1.83812 2.72513i −0.117674 0.174458i
\(245\) 7.54550 + 4.14467i 0.482064 + 0.264793i
\(246\) 31.3637 22.7871i 1.99968 1.45285i
\(247\) 3.50727 + 2.12791i 0.223162 + 0.135395i
\(248\) −9.59901 29.5427i −0.609538 1.87596i
\(249\) 23.3752 19.6141i 1.48134 1.24299i
\(250\) −6.57693 + 12.1950i −0.415962 + 0.771279i
\(251\) 2.93106 16.6228i 0.185007 1.04922i −0.740940 0.671571i \(-0.765620\pi\)
0.925947 0.377654i \(-0.123269\pi\)
\(252\) 5.21972 2.77537i 0.328811 0.174832i
\(253\) −0.390209 + 0.578509i −0.0245323 + 0.0363706i
\(254\) −1.54021 14.6541i −0.0966413 0.919480i
\(255\) 18.6054 23.1573i 1.16511 1.45017i
\(256\) 2.53882 + 10.1826i 0.158676 + 0.636415i
\(257\) −6.66224 5.59028i −0.415579 0.348712i 0.410899 0.911681i \(-0.365215\pi\)
−0.826478 + 0.562969i \(0.809659\pi\)
\(258\) −1.09163 + 10.3862i −0.0679621 + 0.646616i
\(259\) −8.51997 9.46238i −0.529405 0.587964i
\(260\) 0.499914 0.839294i 0.0310033 0.0520508i
\(261\) −5.42280 + 2.88335i −0.335663 + 0.178475i
\(262\) −2.62260 1.39446i −0.162025 0.0861501i
\(263\) 16.4822 21.0962i 1.01633 1.30085i 0.0632956 0.997995i \(-0.479839\pi\)
0.953038 0.302852i \(-0.0979389\pi\)
\(264\) 0.646952 + 0.404261i 0.0398172 + 0.0248805i
\(265\) 1.65267 + 1.06424i 0.101523 + 0.0653755i
\(266\) 0.876548 9.54717i 0.0537446 0.585375i
\(267\) −2.99263 2.17427i −0.183146 0.133063i
\(268\) −0.306001 + 0.256765i −0.0186920 + 0.0156844i
\(269\) −11.9708 17.7474i −0.729872 1.08208i −0.993091 0.117344i \(-0.962562\pi\)
0.263219 0.964736i \(-0.415216\pi\)
\(270\) −25.0672 + 27.0895i −1.52554 + 1.64862i
\(271\) 11.0348 + 10.6562i 0.670316 + 0.647317i 0.949809 0.312831i \(-0.101277\pi\)
−0.279492 + 0.960148i \(0.590166\pi\)
\(272\) 6.65139 9.86109i 0.403300 0.597916i
\(273\) −5.21177 1.10780i −0.315431 0.0670469i
\(274\) 5.22097 + 9.04298i 0.315410 + 0.546306i
\(275\) −0.136750 0.366908i −0.00824636 0.0221254i
\(276\) 10.1075 + 8.48123i 0.608402 + 0.510510i
\(277\) 5.25404 5.83520i 0.315684 0.350603i −0.564331 0.825549i \(-0.690866\pi\)
0.880015 + 0.474946i \(0.157532\pi\)
\(278\) 0.634734 + 6.03909i 0.0380688 + 0.362201i
\(279\) −40.8138 + 60.5089i −2.44346 + 3.62258i
\(280\) −12.0773 1.00982i −0.721758 0.0603481i
\(281\) −13.7169 + 13.2462i −0.818281 + 0.790205i −0.980494 0.196551i \(-0.937026\pi\)
0.162213 + 0.986756i \(0.448137\pi\)
\(282\) −1.48078 0.538960i −0.0881792 0.0320946i
\(283\) 11.4542 0.800957i 0.680883 0.0476120i 0.274873 0.961481i \(-0.411364\pi\)
0.406010 + 0.913869i \(0.366920\pi\)
\(284\) −1.85761 + 5.71713i −0.110229 + 0.339249i
\(285\) −7.50832 30.1709i −0.444755 1.78717i
\(286\) −0.0282249 0.0868673i −0.00166897 0.00513657i
\(287\) −6.52017 16.1380i −0.384874 0.952595i
\(288\) 11.3451 14.5211i 0.668519 0.855666i
\(289\) 0.340927 0.0479141i 0.0200545 0.00281848i
\(290\) 2.36364 + 0.197631i 0.138798 + 0.0116053i
\(291\) 0.599165 + 17.1578i 0.0351237 + 1.00581i
\(292\) 5.23374 2.33021i 0.306282 0.136365i
\(293\) −5.65361 9.79235i −0.330288 0.572075i 0.652280 0.757978i \(-0.273812\pi\)
−0.982568 + 0.185903i \(0.940479\pi\)
\(294\) −3.68195 14.7675i −0.214736 0.861259i
\(295\) −14.4264 10.7843i −0.839938 0.627886i
\(296\) −20.0146 8.91106i −1.16332 0.517945i
\(297\) −0.109028 1.03733i −0.00632645 0.0601921i
\(298\) 9.65663 + 12.3599i 0.559393 + 0.715991i
\(299\) −1.45621 8.25858i −0.0842149 0.477606i
\(300\) −7.16994 + 1.84639i −0.413956 + 0.106601i
\(301\) 4.40597 + 1.60364i 0.253956 + 0.0924323i
\(302\) 13.1371 + 8.20899i 0.755956 + 0.472374i
\(303\) −9.35092 + 6.79384i −0.537197 + 0.390296i
\(304\) −4.00261 11.7884i −0.229566 0.676113i
\(305\) 12.2667 10.0118i 0.702390 0.573274i
\(306\) −36.9428 + 2.58329i −2.11188 + 0.147677i
\(307\) −11.4447 4.16552i −0.653182 0.237739i −0.00589173 0.999983i \(-0.501875\pi\)
−0.647290 + 0.762244i \(0.724098\pi\)
\(308\) 0.0464125 0.0448200i 0.00264460 0.00255386i
\(309\) 61.9724 + 8.70965i 3.52548 + 0.495474i
\(310\) 25.9039 11.1134i 1.47124 0.631197i
\(311\) 3.23905 + 0.688482i 0.183670 + 0.0390402i 0.298828 0.954307i \(-0.403404\pi\)
−0.115158 + 0.993347i \(0.536738\pi\)
\(312\) −8.96756 + 1.90611i −0.507688 + 0.107912i
\(313\) −23.5052 + 14.6877i −1.32859 + 0.830198i −0.993702 0.112059i \(-0.964255\pi\)
−0.334892 + 0.942256i \(0.608700\pi\)
\(314\) −2.90715 + 7.19545i −0.164060 + 0.406063i
\(315\) 15.6011 + 23.8224i 0.879023 + 1.34224i
\(316\) −2.64506 2.93764i −0.148796 0.165255i
\(317\) 24.2454 + 6.95225i 1.36176 + 0.390477i 0.875449 0.483311i \(-0.160566\pi\)
0.486307 + 0.873788i \(0.338344\pi\)
\(318\) −0.603448 3.42232i −0.0338397 0.191914i
\(319\) −0.0482182 + 0.0465638i −0.00269970 + 0.00260707i
\(320\) −18.7808 + 6.54769i −1.04988 + 0.366027i
\(321\) 1.40081 5.61833i 0.0781854 0.313584i
\(322\) −15.8556 + 11.5197i −0.883596 + 0.641970i
\(323\) 8.86890 15.8393i 0.493479 0.881323i
\(324\) −9.72975 −0.540542
\(325\) 4.24517 + 2.03022i 0.235480 + 0.112616i
\(326\) −6.54689 2.38287i −0.362598 0.131975i
\(327\) 33.9467 4.77090i 1.87726 0.263831i
\(328\) −21.5430 20.8039i −1.18951 1.14870i
\(329\) −0.395621 + 0.586533i −0.0218113 + 0.0323366i
\(330\) −0.311897 + 0.617999i −0.0171693 + 0.0340197i
\(331\) 0.270488 2.57352i 0.0148674 0.141454i −0.984570 0.174991i \(-0.944011\pi\)
0.999437 + 0.0335370i \(0.0106772\pi\)
\(332\) −3.40167 2.85434i −0.186691 0.156652i
\(333\) 12.4535 + 49.9484i 0.682449 + 2.73715i
\(334\) 10.4325 2.21750i 0.570842 0.121336i
\(335\) −1.36581 1.35534i −0.0746222 0.0740501i
\(336\) 9.95507 + 12.7419i 0.543094 + 0.695128i
\(337\) 3.59217 + 0.504846i 0.195678 + 0.0275007i 0.236331 0.971673i \(-0.424055\pi\)
−0.0406532 + 0.999173i \(0.512944\pi\)
\(338\) −13.2556 7.04811i −0.721008 0.383367i
\(339\) −0.0382082 + 1.09414i −0.00207518 + 0.0594254i
\(340\) −3.78894 2.08122i −0.205484 0.112870i
\(341\) −0.246159 + 0.757600i −0.0133303 + 0.0410263i
\(342\) −21.2496 + 32.4163i −1.14905 + 1.75287i
\(343\) −19.2568 −1.03977
\(344\) 8.04795 0.562767i 0.433916 0.0303424i
\(345\) −36.2542 + 52.2027i −1.95186 + 2.81050i
\(346\) −0.170294 0.349155i −0.00915507 0.0187707i
\(347\) −6.25989 6.04510i −0.336048 0.324518i 0.507418 0.861700i \(-0.330600\pi\)
−0.843466 + 0.537182i \(0.819489\pi\)
\(348\) 0.780322 + 0.998767i 0.0418297 + 0.0535395i
\(349\) −1.36030 + 2.35612i −0.0728154 + 0.126120i −0.900134 0.435613i \(-0.856532\pi\)
0.827319 + 0.561733i \(0.189865\pi\)
\(350\) −0.0846316 10.9971i −0.00452375 0.587819i
\(351\) 9.60231 + 8.05730i 0.512533 + 0.430067i
\(352\) 0.0753411 0.186476i 0.00401569 0.00993919i
\(353\) 3.35978 + 1.49587i 0.178823 + 0.0796172i 0.494195 0.869351i \(-0.335463\pi\)
−0.315372 + 0.948968i \(0.602129\pi\)
\(354\) 3.32848 + 31.6684i 0.176907 + 1.68316i
\(355\) −28.2391 6.40515i −1.49877 0.339950i
\(356\) −0.235980 + 0.483831i −0.0125069 + 0.0256430i
\(357\) −4.09429 + 23.2199i −0.216693 + 1.22892i
\(358\) 5.08388 + 7.53717i 0.268692 + 0.398352i
\(359\) 7.96997 + 19.7264i 0.420639 + 1.04112i 0.977580 + 0.210566i \(0.0675307\pi\)
−0.556941 + 0.830552i \(0.688025\pi\)
\(360\) 41.1951 + 26.5276i 2.17117 + 1.39813i
\(361\) −7.57882 17.4230i −0.398885 0.917001i
\(362\) −2.22491 + 6.84758i −0.116939 + 0.359901i
\(363\) 13.1371 + 32.5156i 0.689521 + 1.70663i
\(364\) −0.0270606 + 0.774915i −0.00141836 + 0.0406166i
\(365\) 13.4718 + 24.0848i 0.705148 + 1.26066i
\(366\) −27.7200 3.89580i −1.44895 0.203637i
\(367\) 4.63440 + 1.32889i 0.241914 + 0.0693677i 0.394403 0.918937i \(-0.370951\pi\)
−0.152490 + 0.988305i \(0.548729\pi\)
\(368\) −12.7246 + 22.0397i −0.663318 + 1.14890i
\(369\) −7.35543 + 69.9822i −0.382908 + 3.64313i
\(370\) 6.40003 18.8220i 0.332722 0.978509i
\(371\) −1.55641 0.108835i −0.0808047 0.00565042i
\(372\) 13.7600 + 6.12635i 0.713424 + 0.317637i
\(373\) −13.9274 2.96036i −0.721134 0.153282i −0.167296 0.985907i \(-0.553504\pi\)
−0.553837 + 0.832625i \(0.686837\pi\)
\(374\) −0.379807 + 0.138238i −0.0196394 + 0.00714814i
\(375\) −11.9995 33.5847i −0.619654 1.73431i
\(376\) −0.211387 + 1.19883i −0.0109014 + 0.0618251i
\(377\) 0.0281134 0.805063i 0.00144792 0.0414629i
\(378\) 7.08707 28.4247i 0.364520 1.46201i
\(379\) 23.9714 17.4162i 1.23133 0.894611i 0.234337 0.972155i \(-0.424708\pi\)
0.996989 + 0.0775443i \(0.0247079\pi\)
\(380\) −4.13419 + 1.83847i −0.212079 + 0.0943117i
\(381\) 30.6840 + 22.2932i 1.57199 + 1.14212i
\(382\) 3.39239 2.84655i 0.173570 0.145642i
\(383\) 3.18952 + 4.72865i 0.162977 + 0.241623i 0.901676 0.432412i \(-0.142337\pi\)
−0.738699 + 0.674035i \(0.764560\pi\)
\(384\) 16.5801 + 8.81581i 0.846102 + 0.449880i
\(385\) 0.235342 + 0.202995i 0.0119941 + 0.0103456i
\(386\) 0.561668 + 0.718902i 0.0285881 + 0.0365912i
\(387\) −12.6840 14.0870i −0.644764 0.716083i
\(388\) 2.44382 0.519450i 0.124066 0.0263711i
\(389\) 2.25690 5.58602i 0.114429 0.283223i −0.859091 0.511823i \(-0.828970\pi\)
0.973520 + 0.228600i \(0.0734149\pi\)
\(390\) −2.46287 7.94620i −0.124712 0.402371i
\(391\) −36.2982 + 7.71543i −1.83568 + 0.390186i
\(392\) −10.7408 + 4.78210i −0.542491 + 0.241532i
\(393\) 7.18443 2.61492i 0.362406 0.131905i
\(394\) −3.41995 + 7.01194i −0.172295 + 0.353257i
\(395\) 12.9325 13.9758i 0.650703 0.703199i
\(396\) −0.250745 + 0.0718999i −0.0126004 + 0.00361311i
\(397\) 5.98670 24.0113i 0.300464 1.20509i −0.610301 0.792169i \(-0.708952\pi\)
0.910765 0.412925i \(-0.135493\pi\)
\(398\) 9.84388 + 30.2963i 0.493429 + 1.51862i
\(399\) 16.7527 + 18.1202i 0.838682 + 0.907146i
\(400\) −5.90861 13.0008i −0.295431 0.650039i
\(401\) −23.2631 + 19.5201i −1.16170 + 0.974786i −0.999927 0.0120414i \(-0.996167\pi\)
−0.161777 + 0.986827i \(0.551723\pi\)
\(402\) −0.118718 + 3.39963i −0.00592111 + 0.169558i
\(403\) −4.19656 8.60423i −0.209046 0.428607i
\(404\) 1.20995 + 1.16844i 0.0601974 + 0.0581320i
\(405\) −4.26441 46.6733i −0.211900 2.31922i
\(406\) −1.71987 + 0.765734i −0.0853555 + 0.0380027i
\(407\) 0.280915 + 0.486560i 0.0139245 + 0.0241179i
\(408\) 9.81459 + 39.3642i 0.485895 + 1.94882i
\(409\) −17.0026 + 10.6244i −0.840727 + 0.525344i −0.880600 0.473860i \(-0.842860\pi\)
0.0398732 + 0.999205i \(0.487305\pi\)
\(410\) 17.0208 21.1851i 0.840598 1.04626i
\(411\) −26.2902 5.58816i −1.29680 0.275644i
\(412\) −0.317835 9.10161i −0.0156586 0.448404i
\(413\) 14.1572 + 1.98967i 0.696631 + 0.0979052i
\(414\) 78.4633 11.0273i 3.85626 0.541962i
\(415\) 12.2013 17.5687i 0.598937 0.862415i
\(416\) 0.905420 + 2.24099i 0.0443919 + 0.109874i
\(417\) −12.6451 9.18724i −0.619236 0.449901i
\(418\) −0.125417 + 0.404016i −0.00613436 + 0.0197611i
\(419\) −28.1503 20.4524i −1.37523 0.999166i −0.997308 0.0733305i \(-0.976637\pi\)
−0.377926 0.925836i \(-0.623363\pi\)
\(420\) 4.28244 4.02436i 0.208962 0.196368i
\(421\) 31.0225 8.89557i 1.51195 0.433544i 0.585721 0.810513i \(-0.300812\pi\)
0.926226 + 0.376969i \(0.123034\pi\)
\(422\) 7.64602 + 15.6767i 0.372202 + 0.763128i
\(423\) 2.52548 1.34282i 0.122793 0.0652901i
\(424\) −2.52265 + 0.918171i −0.122511 + 0.0445903i
\(425\) 8.32293 19.0876i 0.403721 0.925884i
\(426\) 25.5959 + 44.3334i 1.24013 + 2.14796i
\(427\) −4.70793 + 11.6525i −0.227832 + 0.563905i
\(428\) −0.840584 0.0587794i −0.0406312 0.00284121i
\(429\) 0.214778 + 0.0956252i 0.0103696 + 0.00461683i
\(430\) 1.17302 + 7.22610i 0.0565681 + 0.348473i
\(431\) −23.4077 6.71205i −1.12751 0.323308i −0.340497 0.940245i \(-0.610595\pi\)
−0.787012 + 0.616937i \(0.788373\pi\)
\(432\) −6.60562 37.4623i −0.317813 1.80241i
\(433\) −19.1765 + 18.5185i −0.921563 + 0.889943i −0.994214 0.107415i \(-0.965743\pi\)
0.0726516 + 0.997357i \(0.476854\pi\)
\(434\) −13.7741 + 17.6301i −0.661178 + 0.846270i
\(435\) −4.44905 + 4.18093i −0.213316 + 0.200460i
\(436\) −1.54158 4.74449i −0.0738281 0.227220i
\(437\) −16.5654 + 35.1303i −0.792428 + 1.68051i
\(438\) 15.0762 46.3999i 0.720371 2.21707i
\(439\) −20.5092 12.8156i −0.978852 0.611655i −0.0566628 0.998393i \(-0.518046\pi\)
−0.922189 + 0.386739i \(0.873602\pi\)
\(440\) 0.511994 + 0.154381i 0.0244084 + 0.00735981i
\(441\) 24.3917 + 12.9693i 1.16151 + 0.617584i
\(442\) 2.12930 4.36572i 0.101281 0.207656i
\(443\) 10.5309 3.83294i 0.500339 0.182108i −0.0795076 0.996834i \(-0.525335\pi\)
0.579846 + 0.814726i \(0.303113\pi\)
\(444\) 9.70489 4.32090i 0.460574 0.205061i
\(445\) −2.42435 0.919932i −0.114925 0.0436090i
\(446\) −24.7013 1.72728i −1.16964 0.0817891i
\(447\) −40.2748 2.81629i −1.90493 0.133206i
\(448\) 10.5634 11.7318i 0.499074 0.554278i
\(449\) 8.92838 15.4644i 0.421356 0.729811i −0.574716 0.818353i \(-0.694887\pi\)
0.996072 + 0.0885422i \(0.0282208\pi\)
\(450\) −20.5705 + 39.4163i −0.969704 + 1.85810i
\(451\) 0.133362 + 0.756333i 0.00627977 + 0.0356144i
\(452\) 0.157771 0.0221733i 0.00742093 0.00104294i
\(453\) −38.3293 + 10.9907i −1.80087 + 0.516390i
\(454\) 4.95314 19.8660i 0.232462 0.932355i
\(455\) −3.72910 + 0.209825i −0.174823 + 0.00983676i
\(456\) 39.0145 + 16.7585i 1.82702 + 0.784790i
\(457\) 6.25501 0.292597 0.146299 0.989240i \(-0.453264\pi\)
0.146299 + 0.989240i \(0.453264\pi\)
\(458\) −8.87369 + 0.620509i −0.414640 + 0.0289945i
\(459\) 34.1500 43.7100i 1.59399 2.04021i
\(460\) 8.39754 + 3.87657i 0.391537 + 0.180746i
\(461\) −11.1359 + 5.92106i −0.518651 + 0.275771i −0.708091 0.706121i \(-0.750444\pi\)
0.189441 + 0.981892i \(0.439332\pi\)
\(462\) −0.0191756 0.549116i −0.000892128 0.0255472i
\(463\) −25.8356 28.6934i −1.20068 1.33349i −0.928538 0.371238i \(-0.878934\pi\)
−0.272145 0.962256i \(-0.587733\pi\)
\(464\) −1.63579 + 1.81673i −0.0759396 + 0.0843394i
\(465\) −23.3571 + 68.6915i −1.08316 + 3.18549i
\(466\) 3.49060 2.18117i 0.161699 0.101041i
\(467\) 1.63425 15.5488i 0.0756239 0.719513i −0.889361 0.457206i \(-0.848850\pi\)
0.964984 0.262307i \(-0.0844833\pi\)
\(468\) 1.56740 2.71481i 0.0724529 0.125492i
\(469\) 1.46809 + 0.420967i 0.0677900 + 0.0194385i
\(470\) −1.10078 0.0920394i −0.0507754 0.00424546i
\(471\) −8.75675 17.9540i −0.403490 0.827277i
\(472\) 23.6459 6.78035i 1.08839 0.312091i
\(473\) −0.175450 0.109634i −0.00806722 0.00504096i
\(474\) −33.6630 −1.54619
\(475\) −10.6311 19.0258i −0.487786 0.872963i
\(476\) 3.43120 0.157269
\(477\) 5.34926 + 3.34259i 0.244926 + 0.153047i
\(478\) 15.6111 4.47642i 0.714037 0.204747i
\(479\) 6.32365 + 12.9654i 0.288935 + 0.592405i 0.993052 0.117680i \(-0.0375456\pi\)
−0.704117 + 0.710084i \(0.748657\pi\)
\(480\) 7.09257 16.8894i 0.323730 0.770894i
\(481\) −6.49030 1.86106i −0.295932 0.0848573i
\(482\) 13.7856 23.8774i 0.627917 1.08758i
\(483\) 5.27312 50.1704i 0.239935 2.28283i
\(484\) 4.32797 2.70441i 0.196726 0.122928i
\(485\) 3.56288 + 11.4953i 0.161782 + 0.521973i
\(486\) −22.3087 + 24.7763i −1.01194 + 1.12388i
\(487\) 19.1557 + 21.2745i 0.868027 + 0.964041i 0.999628 0.0272613i \(-0.00867863\pi\)
−0.131602 + 0.991303i \(0.542012\pi\)
\(488\) 0.754679 + 21.6112i 0.0341627 + 0.978292i
\(489\) 15.8341 8.41913i 0.716042 0.380726i
\(490\) −5.20817 9.31111i −0.235281 0.420633i
\(491\) 25.0378 32.0469i 1.12994 1.44626i 0.251844 0.967768i \(-0.418963\pi\)
0.878094 0.478488i \(-0.158815\pi\)
\(492\) 14.4863 1.01298i 0.653093 0.0456687i
\(493\) −3.56469 −0.160546
\(494\) −2.28858 4.53961i −0.102968 0.204247i
\(495\) −0.454800 1.17130i −0.0204417 0.0526461i
\(496\) −7.02827 + 28.1888i −0.315579 + 1.26572i
\(497\) 22.0930 6.33507i 0.991008 0.284167i
\(498\) −37.4472 + 5.26286i −1.67805 + 0.235835i
\(499\) −6.87356 38.9819i −0.307703 1.74507i −0.610501 0.792015i \(-0.709032\pi\)
0.302798 0.953055i \(-0.402079\pi\)
\(500\) −4.50994 + 2.56840i −0.201690 + 0.114862i
\(501\) −13.7266 + 23.7752i −0.613260 + 1.06220i
\(502\) −13.9969 + 15.5451i −0.624711 + 0.693812i
\(503\) −29.1298 2.03695i −1.29883 0.0908233i −0.596467 0.802638i \(-0.703429\pi\)
−0.702367 + 0.711815i \(0.747874\pi\)
\(504\) −38.7957 2.71286i −1.72810 0.120840i
\(505\) −5.07466 + 6.31622i −0.225819 + 0.281068i
\(506\) 0.790010 0.351735i 0.0351202 0.0156365i
\(507\) 36.3127 13.2167i 1.61270 0.586976i
\(508\) 2.41955 4.96080i 0.107350 0.220100i
\(509\) 11.5900 + 6.16252i 0.513719 + 0.273149i 0.706026 0.708186i \(-0.250486\pi\)
−0.192308 + 0.981335i \(0.561597\pi\)
\(510\) −34.7613 + 12.1191i −1.53925 + 0.536642i
\(511\) −18.5757 11.6074i −0.821739 0.513480i
\(512\) 7.65711 23.5662i 0.338400 1.04149i
\(513\) −14.7854 56.1418i −0.652789 2.47872i
\(514\) 3.33054 + 10.2504i 0.146904 + 0.452124i
\(515\) 43.5208 5.51375i 1.91776 0.242965i
\(516\) −2.40841 + 3.08263i −0.106024 + 0.135705i
\(517\) 0.0224559 0.0216854i 0.000987610 0.000953724i
\(518\) 2.74008 + 15.5398i 0.120392 + 0.682779i
\(519\) 0.961188 + 0.275616i 0.0421915 + 0.0120982i
\(520\) −5.71485 + 2.93962i −0.250613 + 0.128911i
\(521\) 28.5840 + 12.7264i 1.25229 + 0.557555i 0.922316 0.386436i \(-0.126294\pi\)
0.329972 + 0.943991i \(0.392961\pi\)
\(522\) 7.59268 + 0.530932i 0.332323 + 0.0232383i
\(523\) −10.6568 + 26.3764i −0.465987 + 1.15336i 0.493030 + 0.870012i \(0.335889\pi\)
−0.959018 + 0.283347i \(0.908555\pi\)
\(524\) −0.556306 0.963551i −0.0243024 0.0420929i
\(525\) 21.1816 + 18.7789i 0.924442 + 0.819578i
\(526\) −31.1763 + 11.3472i −1.35935 + 0.494763i
\(527\) −37.4036 + 19.8879i −1.62933 + 0.866329i
\(528\) −0.312768 0.641270i −0.0136115 0.0279077i
\(529\) 54.2127 15.5452i 2.35707 0.675880i
\(530\) −1.03799 2.20380i −0.0450874 0.0957269i
\(531\) −46.7598 33.9730i −2.02920 1.47430i
\(532\) 2.17354 2.85880i 0.0942351 0.123944i
\(533\) −7.46685 5.42499i −0.323425 0.234982i
\(534\) 1.71726 + 4.25038i 0.0743133 + 0.183932i
\(535\) −0.0864535 4.05802i −0.00373771 0.175443i
\(536\) 2.60227 0.365725i 0.112401 0.0157969i
\(537\) −23.1737 3.25685i −1.00002 0.140544i
\(538\) 0.925863 + 26.5132i 0.0399168 + 1.14307i
\(539\) 0.294916 + 0.0626864i 0.0127030 + 0.00270010i
\(540\) −13.3402 + 3.62956i −0.574069 + 0.156191i
\(541\) 25.9897 16.2401i 1.11738 0.698218i 0.160022 0.987113i \(-0.448843\pi\)
0.957361 + 0.288895i \(0.0932879\pi\)
\(542\) −4.59909 18.4459i −0.197548 0.792321i
\(543\) −9.26637 16.0498i −0.397658 0.688764i
\(544\) 9.77084 4.35026i 0.418921 0.186516i
\(545\) 22.0835 9.47434i 0.945953 0.405836i
\(546\) 4.74986 + 4.58689i 0.203275 + 0.196301i
\(547\) 8.95012 + 18.3505i 0.382679 + 0.784609i 0.999998 0.00210430i \(-0.000669819\pi\)
−0.617318 + 0.786713i \(0.711781\pi\)
\(548\) −0.136504 + 3.90898i −0.00583118 + 0.166983i
\(549\) 38.9223 32.6597i 1.66116 1.39388i
\(550\) −0.0972343 + 0.475412i −0.00414608 + 0.0202717i
\(551\) −2.25811 + 2.97002i −0.0961986 + 0.126527i
\(552\) −26.8228 82.5521i −1.14165 3.51365i
\(553\) −3.65630 + 14.6646i −0.155482 + 0.623603i
\(554\) −9.35384 + 2.68217i −0.397407 + 0.113955i
\(555\) 24.9807 + 44.6603i 1.06037 + 1.89572i
\(556\) −0.997117 + 2.04439i −0.0422872 + 0.0867015i
\(557\) 13.1014 4.76851i 0.555123 0.202048i −0.0491984 0.998789i \(-0.515667\pi\)
0.604321 + 0.796741i \(0.293444\pi\)
\(558\) 82.6307 36.7896i 3.49804 1.55743i
\(559\) 2.43196 0.516929i 0.102861 0.0218638i
\(560\) 9.07852 + 6.78654i 0.383637 + 0.286784i
\(561\) 0.389728 0.964611i 0.0164543 0.0407259i
\(562\) 23.1149 4.91322i 0.975043 0.207252i
\(563\) −9.61569 10.6793i −0.405253 0.450079i 0.505626 0.862753i \(-0.331262\pi\)
−0.910879 + 0.412674i \(0.864595\pi\)
\(564\) −0.363407 0.465140i −0.0153022 0.0195859i
\(565\) 0.175513 + 0.747105i 0.00738390 + 0.0314309i
\(566\) −12.5639 6.68037i −0.528102 0.280797i
\(567\) 20.8020 + 30.8402i 0.873602 + 1.29517i
\(568\) 30.2940 25.4197i 1.27111 1.06659i
\(569\) 26.7373 + 19.4258i 1.12089 + 0.814373i 0.984343 0.176261i \(-0.0564004\pi\)
0.136544 + 0.990634i \(0.456400\pi\)
\(570\) −11.9227 + 36.6393i −0.499387 + 1.53465i
\(571\) −5.40166 + 3.92454i −0.226052 + 0.164237i −0.695047 0.718964i \(-0.744616\pi\)
0.468994 + 0.883201i \(0.344616\pi\)
\(572\) 0.00827698 0.0331972i 0.000346078 0.00138804i
\(573\) −0.397814 + 11.3919i −0.0166189 + 0.475903i
\(574\) −3.74559 + 21.2423i −0.156338 + 0.886636i
\(575\) −14.9153 + 41.9818i −0.622009 + 1.75076i
\(576\) −59.9748 + 21.8290i −2.49895 + 0.909543i
\(577\) −10.0842 2.14347i −0.419811 0.0892336i −0.00683760 0.999977i \(-0.502176\pi\)
−0.412974 + 0.910743i \(0.635510\pi\)
\(578\) −0.389766 0.173535i −0.0162121 0.00721811i
\(579\) −2.34254 0.163807i −0.0973527 0.00680757i
\(580\) 0.711614 + 0.531959i 0.0295482 + 0.0220884i
\(581\) −1.77466 + 16.8847i −0.0736252 + 0.700497i
\(582\) 10.6381 18.4257i 0.440963 0.763769i
\(583\) 0.0661764 + 0.0189758i 0.00274075 + 0.000785896i
\(584\) −37.3221 5.24528i −1.54440 0.217051i
\(585\) 13.7098 + 6.32888i 0.566831 + 0.261667i
\(586\) −0.489037 + 14.0042i −0.0202019 + 0.578507i
\(587\) −2.25379 5.57832i −0.0930238 0.230242i 0.873497 0.486829i \(-0.161846\pi\)
−0.966521 + 0.256587i \(0.917402\pi\)
\(588\) 1.76170 5.42196i 0.0726513 0.223598i
\(589\) −7.12378 + 43.7621i −0.293530 + 1.80319i
\(590\) 8.07941 + 20.8079i 0.332624 + 0.856648i
\(591\) −7.52251 18.6189i −0.309435 0.765878i
\(592\) 11.4579 + 16.9871i 0.470918 + 0.698165i
\(593\) −2.02623 + 11.4913i −0.0832072 + 0.471891i 0.914522 + 0.404536i \(0.132567\pi\)
−0.997729 + 0.0673549i \(0.978544\pi\)
\(594\) −0.566646 + 1.16180i −0.0232498 + 0.0476691i
\(595\) 1.50385 + 16.4593i 0.0616517 + 0.674767i
\(596\) 0.614136 + 5.84312i 0.0251560 + 0.239343i
\(597\) −74.9071 33.3508i −3.06574 1.36496i
\(598\) −3.89310 + 9.63576i −0.159201 + 0.394036i
\(599\) 14.5735 + 12.2286i 0.595458 + 0.499648i 0.889982 0.455996i \(-0.150717\pi\)
−0.294524 + 0.955644i \(0.595161\pi\)
\(600\) 46.4373 + 14.6943i 1.89579 + 0.599891i
\(601\) −0.833549 + 1.44375i −0.0340012 + 0.0588917i −0.882525 0.470265i \(-0.844158\pi\)
0.848524 + 0.529157i \(0.177492\pi\)
\(602\) −3.57737 4.57882i −0.145803 0.186619i
\(603\) −4.44155 4.28915i −0.180874 0.174668i
\(604\) 2.54372 + 5.21539i 0.103502 + 0.212211i
\(605\) 14.8699 + 19.5758i 0.604546 + 0.795870i
\(606\) 14.2891 0.999189i 0.580454 0.0405893i
\(607\) −33.6894 −1.36741 −0.683705 0.729758i \(-0.739633\pi\)
−0.683705 + 0.729758i \(0.739633\pi\)
\(608\) 2.56495 10.8966i 0.104022 0.441914i
\(609\) 1.49746 4.60872i 0.0606803 0.186755i
\(610\) −19.4667 + 2.46628i −0.788185 + 0.0998569i
\(611\) −0.0130928 + 0.374930i −0.000529679 + 0.0151680i
\(612\) −12.2482 6.51246i −0.495102 0.263251i
\(613\) 12.4716 + 1.75276i 0.503721 + 0.0707934i 0.386457 0.922307i \(-0.373699\pi\)
0.117264 + 0.993101i \(0.462588\pi\)
\(614\) 9.29235 + 11.8937i 0.375009 + 0.479989i
\(615\) 11.2084 + 69.0464i 0.451966 + 2.78422i
\(616\) −0.415179 + 0.0882491i −0.0167280 + 0.00355566i
\(617\) −6.27074 25.1506i −0.252451 1.01252i −0.953977 0.299880i \(-0.903053\pi\)
0.701526 0.712644i \(-0.252502\pi\)
\(618\) −59.4108 49.8516i −2.38985 2.00532i
\(619\) 4.27188 40.6443i 0.171702 1.63363i −0.481499 0.876446i \(-0.659908\pi\)
0.653201 0.757185i \(-0.273426\pi\)
\(620\) 10.4347 + 1.61156i 0.419068 + 0.0647218i
\(621\) −66.3645 + 98.3894i −2.66311 + 3.94823i
\(622\) −2.95198 2.85070i −0.118364 0.114302i
\(623\) 2.03811 0.286438i 0.0816552 0.0114759i
\(624\) 8.05721 + 2.93258i 0.322546 + 0.117397i
\(625\) −14.2972 20.5083i −0.571886 0.820333i
\(626\) 34.3487 1.37285
\(627\) −0.556813 0.935760i −0.0222370 0.0373706i
\(628\) −2.35178 + 1.70867i −0.0938462 + 0.0681832i
\(629\) −7.22813 + 28.9904i −0.288204 + 1.15592i
\(630\) −0.751658 35.2819i −0.0299468 1.40566i
\(631\) 12.2177 11.7985i 0.486380 0.469691i −0.410567 0.911831i \(-0.634669\pi\)
0.896946 + 0.442139i \(0.145780\pi\)
\(632\) 4.51571 + 25.6098i 0.179625 + 1.01870i
\(633\) −43.1563 12.3749i −1.71531 0.491857i
\(634\) −20.9153 23.2288i −0.830653 0.922533i
\(635\) 24.8573 + 9.43223i 0.986431 + 0.374307i
\(636\) 0.487632 1.20693i 0.0193359 0.0478579i
\(637\) −3.07279 + 1.92009i −0.121748 + 0.0760769i
\(638\) 0.0812545 0.0172712i 0.00321690 0.000683772i
\(639\) −90.8883 19.3189i −3.59549 0.764244i
\(640\) 12.8372 + 2.91171i 0.507434 + 0.115096i
\(641\) 9.04187 + 1.27075i 0.357132 + 0.0501917i 0.315458 0.948940i \(-0.397842\pi\)
0.0416745 + 0.999131i \(0.486731\pi\)
\(642\) −5.16182 + 4.98471i −0.203721 + 0.196731i
\(643\) 9.35795 + 3.40602i 0.369042 + 0.134320i 0.519882 0.854238i \(-0.325976\pi\)
−0.150841 + 0.988558i \(0.548198\pi\)
\(644\) −7.32338 + 0.512101i −0.288582 + 0.0201796i
\(645\) −15.8428 10.2020i −0.623811 0.401704i
\(646\) −19.7228 + 10.8222i −0.775982 + 0.425793i
\(647\) 0.425697 0.309287i 0.0167359 0.0121593i −0.579386 0.815053i \(-0.696708\pi\)
0.596122 + 0.802894i \(0.296708\pi\)
\(648\) 54.2816 + 33.9189i 2.13238 + 1.33246i
\(649\) −0.592774 0.215752i −0.0232684 0.00846901i
\(650\) −3.12824 4.92154i −0.122700 0.193039i
\(651\) −10.0000 56.7129i −0.391932 2.22275i
\(652\) −1.60671 2.05650i −0.0629237 0.0805386i
\(653\) 2.68811 + 25.5757i 0.105194 + 1.00085i 0.912042 + 0.410096i \(0.134505\pi\)
−0.806848 + 0.590759i \(0.798829\pi\)
\(654\) −38.8098 17.2792i −1.51758 0.675672i
\(655\) 4.37830 3.09089i 0.171074 0.120771i
\(656\) 6.77605 + 27.1773i 0.264560 + 1.06109i
\(657\) 44.2776 + 76.6910i 1.72743 + 2.99200i
\(658\) 0.800967 0.356613i 0.0312249 0.0139022i
\(659\) −0.620364 17.7649i −0.0241659 0.692022i −0.949664 0.313270i \(-0.898576\pi\)
0.925498 0.378752i \(-0.123647\pi\)
\(660\) −0.221750 + 0.134405i −0.00863160 + 0.00523170i
\(661\) −2.51920 + 0.354050i −0.0979854 + 0.0137709i −0.187995 0.982170i \(-0.560199\pi\)
0.0900100 + 0.995941i \(0.471310\pi\)
\(662\) −1.97434 + 2.52704i −0.0767348 + 0.0982161i
\(663\) 4.68360 + 11.5923i 0.181896 + 0.450208i
\(664\) 9.02716 + 27.7828i 0.350322 + 1.07818i
\(665\) 14.6662 + 9.17345i 0.568730 + 0.355731i
\(666\) 19.7136 60.6722i 0.763886 2.35100i
\(667\) 7.60830 0.532024i 0.294595 0.0206001i
\(668\) 3.75420 + 1.36642i 0.145254 + 0.0528682i
\(669\) 45.8481 44.2750i 1.77259 1.71177i
\(670\) 0.545344 + 2.32135i 0.0210685 + 0.0896817i
\(671\) 0.310095 0.459734i 0.0119711 0.0177478i
\(672\) 1.51981 + 14.4600i 0.0586278 + 0.557806i
\(673\) 22.6285 25.1314i 0.872263 0.968746i −0.127470 0.991842i \(-0.540686\pi\)
0.999733 + 0.0230962i \(0.00735241\pi\)
\(674\) −3.44369 2.88960i −0.132646 0.111303i
\(675\) −23.2577 62.4016i −0.895189 2.40184i
\(676\) −2.81177 4.87013i −0.108145 0.187313i
\(677\) −43.6445 9.27693i −1.67740 0.356541i −0.731708 0.681618i \(-0.761276\pi\)
−0.945688 + 0.325077i \(0.894610\pi\)
\(678\) 0.758691 1.12480i 0.0291373 0.0431979i
\(679\) −6.87133 6.63556i −0.263697 0.254650i
\(680\) 13.8829 + 24.8196i 0.532383 + 0.951790i
\(681\) 29.4697 + 43.6907i 1.12928 + 1.67423i
\(682\) 0.756230 0.634552i 0.0289575 0.0242983i
\(683\) −8.25663 5.99879i −0.315931 0.229537i 0.418506 0.908214i \(-0.362554\pi\)
−0.734437 + 0.678677i \(0.762554\pi\)
\(684\) −13.1848 + 6.07947i −0.504134 + 0.232454i
\(685\) −18.8111 + 1.05844i −0.718734 + 0.0404410i
\(686\) 20.2382 + 12.6462i 0.772697 + 0.482835i
\(687\) 14.0966 18.0428i 0.537819 0.688377i
\(688\) −6.66206 3.54228i −0.253988 0.135048i
\(689\) −0.730490 + 0.388408i −0.0278295 + 0.0147972i
\(690\) 72.3840 31.0544i 2.75561 1.18222i
\(691\) −29.2410 32.4755i −1.11238 1.23542i −0.969344 0.245707i \(-0.920980\pi\)
−0.143037 0.989717i \(-0.545687\pi\)
\(692\) 0.0152103 0.144717i 0.000578210 0.00550130i
\(693\) 0.763987 + 0.641062i 0.0290215 + 0.0243519i
\(694\) 2.60900 + 10.4641i 0.0990362 + 0.397213i
\(695\) −10.2439 3.88711i −0.388574 0.147446i
\(696\) −0.871560 8.29234i −0.0330364 0.314320i
\(697\) −22.8386 + 33.8596i −0.865072 + 1.28252i
\(698\) 2.97692 1.58286i 0.112678 0.0599120i
\(699\) −1.83975 + 10.4337i −0.0695857 + 0.394640i
\(700\) 2.15602 3.51017i 0.0814898 0.132672i
\(701\) 29.6144 24.8495i 1.11852 0.938551i 0.119993 0.992775i \(-0.461713\pi\)
0.998529 + 0.0542232i \(0.0172683\pi\)
\(702\) −4.80032 14.7739i −0.181176 0.557604i
\(703\) 19.5754 + 24.3867i 0.738300 + 0.919763i
\(704\) −0.563545 + 0.409440i −0.0212394 + 0.0154313i
\(705\) 2.07199 1.94712i 0.0780355 0.0733327i
\(706\) −2.54864 3.77852i −0.0959194 0.142206i
\(707\) 1.11673 6.33327i 0.0419988 0.238187i
\(708\) −5.22878 + 10.7206i −0.196510 + 0.402905i
\(709\) −1.65606 47.4232i −0.0621945 1.78102i −0.484724 0.874667i \(-0.661080\pi\)
0.422529 0.906349i \(-0.361142\pi\)
\(710\) 25.4718 + 25.2765i 0.955940 + 0.948612i
\(711\) 40.8853 45.4077i 1.53332 1.70292i
\(712\) 3.00320 1.87661i 0.112550 0.0703289i
\(713\) 76.8642 48.0301i 2.87859 1.79874i
\(714\) 19.5517 21.7144i 0.731705 0.812641i
\(715\) 0.162873 + 0.0251546i 0.00609112 + 0.000940728i
\(716\) 0.118850 + 3.40342i 0.00444164 + 0.127192i
\(717\) −18.3250 + 37.5718i −0.684359 + 1.40314i
\(718\) 4.57844 25.9656i 0.170866 0.969029i
\(719\) 3.59427 + 5.32872i 0.134044 + 0.198728i 0.890083 0.455798i \(-0.150646\pi\)
−0.756040 + 0.654526i \(0.772868\pi\)
\(720\) −19.5261 41.4567i −0.727696 1.54500i
\(721\) −28.1697 + 20.4665i −1.04909 + 0.762212i
\(722\) −3.47688 + 23.2880i −0.129396 + 0.866691i
\(723\) 21.9304 + 67.4950i 0.815602 + 2.51016i
\(724\) −2.06600 + 1.73358i −0.0767825 + 0.0644281i
\(725\) −2.23990 + 3.64674i −0.0831878 + 0.135437i
\(726\) 7.54679 42.8000i 0.280088 1.58846i
\(727\) −23.8795 + 12.6969i −0.885641 + 0.470904i −0.848981 0.528424i \(-0.822783\pi\)
−0.0366605 + 0.999328i \(0.511672\pi\)
\(728\) 2.85240 4.22886i 0.105717 0.156732i
\(729\) −2.39757 22.8114i −0.0887990 0.844866i
\(730\) 1.65844 34.1593i 0.0613816 1.26429i
\(731\) −2.66167 10.6754i −0.0984454 0.394843i
\(732\) −8.03233 6.73993i −0.296883 0.249115i
\(733\) −1.58786 + 15.1075i −0.0586491 + 0.558009i 0.925259 + 0.379335i \(0.123847\pi\)
−0.983908 + 0.178674i \(0.942819\pi\)
\(734\) −3.99788 4.44009i −0.147564 0.163887i
\(735\) 26.7811 + 6.07446i 0.987835 + 0.224060i
\(736\) −20.2051 + 10.7433i −0.744771 + 0.396002i
\(737\) −0.0595009 0.0316372i −0.00219174 0.00116537i
\(738\) 53.6886 68.7182i 1.97630 2.52955i
\(739\) 31.1654 + 19.4743i 1.14644 + 0.716374i 0.963753 0.266797i \(-0.0859654\pi\)
0.182686 + 0.983171i \(0.441521\pi\)
\(740\) 5.76918 4.70866i 0.212079 0.173094i
\(741\) 12.6253 + 3.44106i 0.463804 + 0.126410i
\(742\) 1.56425 + 1.13650i 0.0574255 + 0.0417221i
\(743\) −20.8669 + 17.5094i −0.765531 + 0.642357i −0.939560 0.342384i \(-0.888766\pi\)
0.174029 + 0.984741i \(0.444321\pi\)
\(744\) −55.4091 82.1474i −2.03140 3.01167i
\(745\) −27.7601 + 5.50695i −1.01705 + 0.201759i
\(746\) 12.6930 + 12.2575i 0.464726 + 0.448780i
\(747\) 38.3824 56.9042i 1.40434 2.08202i
\(748\) −0.148091 0.0314777i −0.00541474 0.00115094i
\(749\) 1.61084 + 2.79006i 0.0588588 + 0.101946i
\(750\) −9.44448 + 43.1765i −0.344864 + 1.57658i
\(751\) 15.5069 + 13.0119i 0.565856 + 0.474809i 0.880268 0.474477i \(-0.157363\pi\)
−0.314412 + 0.949287i \(0.601807\pi\)
\(752\) 0.761810 0.846076i 0.0277804 0.0308532i
\(753\) −5.62813 53.5480i −0.205100 1.95140i
\(754\) −0.558242 + 0.827628i −0.0203300 + 0.0301404i
\(755\) −23.9032 + 14.4880i −0.869926 + 0.527271i
\(756\) 7.89355 7.62271i 0.287086 0.277235i
\(757\) 6.20241 + 2.25749i 0.225430 + 0.0820500i 0.452266 0.891883i \(-0.350616\pi\)
−0.226836 + 0.973933i \(0.572838\pi\)
\(758\) −36.6304 + 2.56145i −1.33048 + 0.0930360i
\(759\) −0.687850 + 2.11698i −0.0249674 + 0.0768417i
\(760\) 29.4735 + 4.15549i 1.06911 + 0.150735i
\(761\) −15.0316 46.2624i −0.544894 1.67701i −0.721242 0.692683i \(-0.756429\pi\)
0.176349 0.984328i \(-0.443571\pi\)
\(762\) −17.6074 43.5799i −0.637849 1.57873i
\(763\) −11.7427 + 15.0299i −0.425113 + 0.544120i
\(764\) 1.64267 0.230862i 0.0594298 0.00835231i
\(765\) 25.8719 61.6083i 0.935399 2.22745i
\(766\) −0.246688 7.06423i −0.00891321 0.255241i
\(767\) 6.92551 3.08344i 0.250066 0.111336i
\(768\) 16.7379 + 28.9909i 0.603978 + 1.04612i
\(769\) −3.36562 13.4988i −0.121367 0.486778i −0.999958 0.00920154i \(-0.997071\pi\)
0.878590 0.477576i \(-0.158485\pi\)
\(770\) −0.114026 0.367892i −0.00410920