Properties

Label 503.2.c.a.2.2
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.72191 - 2.12004i) q^{2} +(1.69918 - 1.47066i) q^{3} +(-1.11950 + 5.34354i) q^{4} +(-0.0846785 - 0.267431i) q^{5} +(-6.04369 - 1.07000i) q^{6} +(-1.43085 + 4.15454i) q^{7} +(8.40007 - 4.32651i) q^{8} +(0.294060 - 2.02884i) q^{9} +O(q^{10})\) \(q+(-1.72191 - 2.12004i) q^{2} +(1.69918 - 1.47066i) q^{3} +(-1.11950 + 5.34354i) q^{4} +(-0.0846785 - 0.267431i) q^{5} +(-6.04369 - 1.07000i) q^{6} +(-1.43085 + 4.15454i) q^{7} +(8.40007 - 4.32651i) q^{8} +(0.294060 - 2.02884i) q^{9} +(-0.421156 + 0.640014i) q^{10} +(-3.38244 + 1.09434i) q^{11} +(5.95628 + 10.7261i) q^{12} +(-4.38145 + 1.47839i) q^{13} +(11.2716 - 4.12029i) q^{14} +(-0.537183 - 0.329880i) q^{15} +(-13.6357 - 5.97581i) q^{16} +(0.274557 + 0.137092i) q^{17} +(-4.80758 + 2.87007i) q^{18} +(3.22255 + 7.22985i) q^{19} +(1.52383 - 0.153093i) q^{20} +(3.67864 + 9.16360i) q^{21} +(8.14430 + 5.28656i) q^{22} +(1.27673 - 4.41307i) q^{23} +(7.91043 - 19.7051i) q^{24} +(4.02442 - 2.83255i) q^{25} +(10.6787 + 6.74322i) q^{26} +(1.15108 + 1.79785i) q^{27} +(-20.5981 - 12.2968i) q^{28} +(-0.386109 + 3.23189i) q^{29} +(0.225620 + 1.70688i) q^{30} +(0.503576 + 6.17612i) q^{31} +(5.78622 + 20.9805i) q^{32} +(-4.13797 + 6.83389i) q^{33} +(-0.182122 - 0.818131i) q^{34} +(1.23222 + 0.0308520i) q^{35} +(10.5120 + 3.84263i) q^{36} +(-0.424820 - 0.536633i) q^{37} +(9.77866 - 19.2811i) q^{38} +(-5.27068 + 8.95566i) q^{39} +(-1.86835 - 1.88008i) q^{40} +(-0.732815 + 3.72983i) q^{41} +(13.0930 - 23.5778i) q^{42} +(0.198085 - 1.07945i) q^{43} +(-2.06101 - 19.2993i) q^{44} +(-0.567476 + 0.0931588i) q^{45} +(-11.5543 + 4.89219i) q^{46} +(-4.90276 + 0.184180i) q^{47} +(-31.9578 + 9.89942i) q^{48} +(-9.69743 - 7.57864i) q^{49} +(-12.9348 - 3.65455i) q^{50} +(0.668136 - 0.170835i) q^{51} +(-2.99478 - 25.0675i) q^{52} +(0.453337 - 1.01707i) q^{53} +(1.82947 - 5.53606i) q^{54} +(0.579081 + 0.811901i) q^{55} +(5.95544 + 41.0890i) q^{56} +(16.1083 + 7.54556i) q^{57} +(7.51660 - 4.74646i) q^{58} +(-3.91470 + 9.40926i) q^{59} +(2.36411 - 2.50116i) q^{60} +(-6.49182 - 10.7213i) q^{61} +(12.2265 - 11.7023i) q^{62} +(8.00817 + 4.12465i) q^{63} +(17.2265 - 24.1525i) q^{64} +(0.766382 + 1.04655i) q^{65} +(21.6134 - 2.99466i) q^{66} +(3.68292 - 2.26165i) q^{67} +(-1.03992 + 1.31363i) q^{68} +(-4.32072 - 9.37622i) q^{69} +(-2.05635 - 2.66547i) q^{70} +(-1.99165 - 12.6259i) q^{71} +(-6.30768 - 18.3147i) q^{72} +(4.83340 + 4.62617i) q^{73} +(-0.406184 + 1.82467i) q^{74} +(2.67251 - 10.7316i) q^{75} +(-42.2407 + 9.12600i) q^{76} +(0.293260 - 15.6183i) q^{77} +(28.0620 - 4.24678i) q^{78} +(0.576686 + 10.2280i) q^{79} +(-0.443466 + 4.15262i) q^{80} +(10.4970 + 3.10815i) q^{81} +(9.16925 - 4.86884i) q^{82} +(2.41036 + 4.60871i) q^{83} +(-53.0844 + 9.39827i) q^{84} +(0.0134135 - 0.0850336i) q^{85} +(-2.62956 + 1.43876i) q^{86} +(4.09693 + 6.05940i) q^{87} +(-23.6781 + 23.8267i) q^{88} +(0.228164 + 0.869634i) q^{89} +(1.17464 + 1.04266i) q^{90} +(0.127157 - 20.3183i) q^{91} +(22.1521 + 11.7627i) q^{92} +(9.93862 + 9.75375i) q^{93} +(8.83258 + 10.0769i) q^{94} +(1.66060 - 1.47402i) q^{95} +(40.6870 + 27.1402i) q^{96} +(-3.23506 - 13.7206i) q^{97} +(0.631059 + 33.6087i) q^{98} +(1.22561 + 7.18425i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.72191 2.12004i −1.21757 1.49910i −0.810539 0.585684i \(-0.800826\pi\)
−0.407034 0.913413i \(-0.633437\pi\)
\(3\) 1.69918 1.47066i 0.981022 0.849084i −0.00752864 0.999972i \(-0.502396\pi\)
0.988551 + 0.150888i \(0.0482132\pi\)
\(4\) −1.11950 + 5.34354i −0.559752 + 2.67177i
\(5\) −0.0846785 0.267431i −0.0378694 0.119599i 0.932538 0.361071i \(-0.117589\pi\)
−0.970408 + 0.241472i \(0.922370\pi\)
\(6\) −6.04369 1.07000i −2.46733 0.436825i
\(7\) −1.43085 + 4.15454i −0.540809 + 1.57027i 0.256402 + 0.966570i \(0.417463\pi\)
−0.797212 + 0.603700i \(0.793693\pi\)
\(8\) 8.40007 4.32651i 2.96987 1.52965i
\(9\) 0.294060 2.02884i 0.0980202 0.676282i
\(10\) −0.421156 + 0.640014i −0.133181 + 0.202390i
\(11\) −3.38244 + 1.09434i −1.01984 + 0.329957i −0.769805 0.638279i \(-0.779647\pi\)
−0.250039 + 0.968236i \(0.580443\pi\)
\(12\) 5.95628 + 10.7261i 1.71943 + 3.09634i
\(13\) −4.38145 + 1.47839i −1.21520 + 0.410031i −0.852921 0.522040i \(-0.825171\pi\)
−0.362275 + 0.932071i \(0.618000\pi\)
\(14\) 11.2716 4.12029i 3.01246 1.10119i
\(15\) −0.537183 0.329880i −0.138700 0.0851747i
\(16\) −13.6357 5.97581i −3.40892 1.49395i
\(17\) 0.274557 + 0.137092i 0.0665898 + 0.0332496i 0.479712 0.877426i \(-0.340741\pi\)
−0.413122 + 0.910676i \(0.635562\pi\)
\(18\) −4.80758 + 2.87007i −1.13316 + 0.676481i
\(19\) 3.22255 + 7.22985i 0.739304 + 1.65864i 0.752382 + 0.658728i \(0.228905\pi\)
−0.0130772 + 0.999914i \(0.504163\pi\)
\(20\) 1.52383 0.153093i 0.340738 0.0342327i
\(21\) 3.67864 + 9.16360i 0.802745 + 1.99966i
\(22\) 8.14430 + 5.28656i 1.73637 + 1.12710i
\(23\) 1.27673 4.41307i 0.266216 0.920188i −0.710148 0.704053i \(-0.751372\pi\)
0.976363 0.216135i \(-0.0693453\pi\)
\(24\) 7.91043 19.7051i 1.61471 4.02229i
\(25\) 4.02442 2.83255i 0.804884 0.566510i
\(26\) 10.6787 + 6.74322i 2.09427 + 1.32245i
\(27\) 1.15108 + 1.79785i 0.221525 + 0.345996i
\(28\) −20.5981 12.2968i −3.89268 2.32388i
\(29\) −0.386109 + 3.23189i −0.0716987 + 0.600147i 0.910662 + 0.413152i \(0.135572\pi\)
−0.982361 + 0.186995i \(0.940125\pi\)
\(30\) 0.225620 + 1.70688i 0.0411924 + 0.311631i
\(31\) 0.503576 + 6.17612i 0.0904449 + 1.10926i 0.873340 + 0.487110i \(0.161949\pi\)
−0.782895 + 0.622153i \(0.786258\pi\)
\(32\) 5.78622 + 20.9805i 1.02287 + 3.70887i
\(33\) −4.13797 + 6.83389i −0.720328 + 1.18963i
\(34\) −0.182122 0.818131i −0.0312336 0.140308i
\(35\) 1.23222 + 0.0308520i 0.208282 + 0.00521494i
\(36\) 10.5120 + 3.84263i 1.75200 + 0.640438i
\(37\) −0.424820 0.536633i −0.0698400 0.0882219i 0.747894 0.663818i \(-0.231065\pi\)
−0.817734 + 0.575596i \(0.804770\pi\)
\(38\) 9.77866 19.2811i 1.58631 3.12781i
\(39\) −5.27068 + 8.95566i −0.843984 + 1.43405i
\(40\) −1.86835 1.88008i −0.295412 0.297266i
\(41\) −0.732815 + 3.72983i −0.114446 + 0.582502i 0.879796 + 0.475351i \(0.157679\pi\)
−0.994243 + 0.107151i \(0.965827\pi\)
\(42\) 13.0930 23.5778i 2.02029 3.63813i
\(43\) 0.198085 1.07945i 0.0302077 0.164614i −0.965023 0.262166i \(-0.915563\pi\)
0.995230 + 0.0975515i \(0.0311011\pi\)
\(44\) −2.06101 19.2993i −0.310709 2.90948i
\(45\) −0.567476 + 0.0931588i −0.0845944 + 0.0138873i
\(46\) −11.5543 + 4.89219i −1.70359 + 0.721314i
\(47\) −4.90276 + 0.184180i −0.715141 + 0.0268654i −0.392625 0.919699i \(-0.628433\pi\)
−0.322516 + 0.946564i \(0.604529\pi\)
\(48\) −31.9578 + 9.89942i −4.61271 + 1.42886i
\(49\) −9.69743 7.57864i −1.38535 1.08266i
\(50\) −12.9348 3.65455i −1.82926 0.516831i
\(51\) 0.668136 0.170835i 0.0935578 0.0239217i
\(52\) −2.99478 25.0675i −0.415301 3.47624i
\(53\) 0.453337 1.01707i 0.0622706 0.139705i −0.879565 0.475778i \(-0.842167\pi\)
0.941836 + 0.336073i \(0.109099\pi\)
\(54\) 1.82947 5.53606i 0.248959 0.753363i
\(55\) 0.579081 + 0.811901i 0.0780832 + 0.109477i
\(56\) 5.95544 + 41.0890i 0.795829 + 5.49075i
\(57\) 16.1083 + 7.54556i 2.13360 + 0.999433i
\(58\) 7.51660 4.74646i 0.986977 0.623240i
\(59\) −3.91470 + 9.40926i −0.509651 + 1.22498i 0.436044 + 0.899925i \(0.356379\pi\)
−0.945695 + 0.325056i \(0.894617\pi\)
\(60\) 2.36411 2.50116i 0.305205 0.322898i
\(61\) −6.49182 10.7213i −0.831192 1.37272i −0.926117 0.377236i \(-0.876875\pi\)
0.0949250 0.995484i \(-0.469739\pi\)
\(62\) 12.2265 11.7023i 1.55277 1.48620i
\(63\) 8.00817 + 4.12465i 1.00893 + 0.519658i
\(64\) 17.2265 24.1525i 2.15332 3.01906i
\(65\) 0.766382 + 1.04655i 0.0950580 + 0.129808i
\(66\) 21.6134 2.99466i 2.66042 0.368617i
\(67\) 3.68292 2.26165i 0.449940 0.276305i −0.279763 0.960069i \(-0.590256\pi\)
0.729703 + 0.683764i \(0.239658\pi\)
\(68\) −1.03992 + 1.31363i −0.126109 + 0.159301i
\(69\) −4.32072 9.37622i −0.520153 1.12876i
\(70\) −2.05635 2.66547i −0.245781 0.318585i
\(71\) −1.99165 12.6259i −0.236365 1.49842i −0.761926 0.647664i \(-0.775746\pi\)
0.525561 0.850756i \(-0.323855\pi\)
\(72\) −6.30768 18.3147i −0.743367 2.15841i
\(73\) 4.83340 + 4.62617i 0.565707 + 0.541452i 0.919101 0.394022i \(-0.128917\pi\)
−0.353394 + 0.935475i \(0.614973\pi\)
\(74\) −0.406184 + 1.82467i −0.0472179 + 0.212114i
\(75\) 2.67251 10.7316i 0.308594 1.23917i
\(76\) −42.2407 + 9.12600i −4.84534 + 1.04682i
\(77\) 0.293260 15.6183i 0.0334201 1.77987i
\(78\) 28.0620 4.24678i 3.17740 0.480853i
\(79\) 0.576686 + 10.2280i 0.0648822 + 1.15074i 0.848395 + 0.529364i \(0.177570\pi\)
−0.783512 + 0.621376i \(0.786574\pi\)
\(80\) −0.443466 + 4.15262i −0.0495810 + 0.464277i
\(81\) 10.4970 + 3.10815i 1.16633 + 0.345350i
\(82\) 9.16925 4.86884i 1.01257 0.537673i
\(83\) 2.41036 + 4.60871i 0.264571 + 0.505872i 0.981546 0.191227i \(-0.0612467\pi\)
−0.716975 + 0.697099i \(0.754474\pi\)
\(84\) −53.0844 + 9.39827i −5.79198 + 1.02544i
\(85\) 0.0134135 0.0850336i 0.00145489 0.00922319i
\(86\) −2.62956 + 1.43876i −0.283553 + 0.155146i
\(87\) 4.09693 + 6.05940i 0.439237 + 0.649636i
\(88\) −23.6781 + 23.8267i −2.52409 + 2.53993i
\(89\) 0.228164 + 0.869634i 0.0241853 + 0.0921811i 0.978256 0.207399i \(-0.0664999\pi\)
−0.954071 + 0.299580i \(0.903153\pi\)
\(90\) 1.17464 + 1.04266i 0.123818 + 0.109906i
\(91\) 0.127157 20.3183i 0.0133296 2.12994i
\(92\) 22.1521 + 11.7627i 2.30952 + 1.22635i
\(93\) 9.93862 + 9.75375i 1.03059 + 1.01142i
\(94\) 8.83258 + 10.0769i 0.911011 + 1.03936i
\(95\) 1.66060 1.47402i 0.170374 0.151232i
\(96\) 40.6870 + 27.1402i 4.15260 + 2.76998i
\(97\) −3.23506 13.7206i −0.328471 1.39312i −0.844044 0.536274i \(-0.819831\pi\)
0.515573 0.856846i \(-0.327579\pi\)
\(98\) 0.631059 + 33.6087i 0.0637466 + 3.39499i
\(99\) 1.22561 + 7.18425i 0.123178 + 0.722044i
\(100\) 10.6305 + 24.6757i 1.06305 + 2.46757i
\(101\) −15.5653 + 6.13570i −1.54880 + 0.610525i −0.977635 0.210308i \(-0.932553\pi\)
−0.571168 + 0.820833i \(0.693510\pi\)
\(102\) −1.51265 1.12231i −0.149774 0.111126i
\(103\) −14.4998 + 2.94320i −1.42871 + 0.290002i −0.850539 0.525913i \(-0.823724\pi\)
−0.578172 + 0.815915i \(0.696234\pi\)
\(104\) −30.4083 + 31.3750i −2.98178 + 3.07657i
\(105\) 2.13913 1.75974i 0.208758 0.171733i
\(106\) −2.93684 + 0.790207i −0.285251 + 0.0767517i
\(107\) −2.19564 0.0824826i −0.212260 0.00797389i −0.0688024 0.997630i \(-0.521918\pi\)
−0.143458 + 0.989656i \(0.545822\pi\)
\(108\) −10.8955 + 4.13813i −1.04842 + 0.398191i
\(109\) 4.14311 + 4.38329i 0.396838 + 0.419843i 0.894177 0.447713i \(-0.147761\pi\)
−0.497340 + 0.867556i \(0.665690\pi\)
\(110\) 0.724141 2.62570i 0.0690441 0.250350i
\(111\) −1.51105 0.287072i −0.143422 0.0272477i
\(112\) 44.3373 48.0995i 4.18948 4.54498i
\(113\) 2.73391 + 5.56210i 0.257185 + 0.523238i 0.987062 0.160340i \(-0.0512592\pi\)
−0.729877 + 0.683579i \(0.760423\pi\)
\(114\) −11.7402 47.1431i −1.09957 4.41536i
\(115\) −1.28830 + 0.0322563i −0.120135 + 0.00300791i
\(116\) −16.8375 5.68131i −1.56332 0.527496i
\(117\) 1.71101 + 9.32402i 0.158183 + 0.862006i
\(118\) 26.6888 7.90256i 2.45690 0.727489i
\(119\) −0.962402 + 0.944501i −0.0882232 + 0.0865822i
\(120\) −5.93961 0.446892i −0.542209 0.0407955i
\(121\) 1.32796 0.959749i 0.120724 0.0872500i
\(122\) −11.5513 + 32.2240i −1.04580 + 2.91743i
\(123\) 4.24012 + 7.41538i 0.382319 + 0.668622i
\(124\) −33.5661 4.22331i −3.01433 0.379265i
\(125\) −2.21415 1.68617i −0.198039 0.150816i
\(126\) −5.04489 24.0799i −0.449435 2.14521i
\(127\) 14.2981 8.05736i 1.26875 0.714975i 0.297887 0.954601i \(-0.403718\pi\)
0.970865 + 0.239626i \(0.0770247\pi\)
\(128\) −37.4244 + 2.34514i −3.30788 + 0.207283i
\(129\) −1.25092 2.12549i −0.110137 0.187139i
\(130\) 0.899087 3.42682i 0.0788551 0.300552i
\(131\) −4.33192 + 2.88960i −0.378482 + 0.252465i −0.729612 0.683861i \(-0.760299\pi\)
0.351131 + 0.936327i \(0.385797\pi\)
\(132\) −31.8847 29.7620i −2.77521 2.59045i
\(133\) −34.6477 + 3.04342i −3.00434 + 0.263898i
\(134\) −11.1365 3.91358i −0.962043 0.338082i
\(135\) 0.383329 0.460072i 0.0329917 0.0395967i
\(136\) 2.89942 0.0362920i 0.248624 0.00311201i
\(137\) 5.43927 + 14.0557i 0.464708 + 1.20086i 0.945961 + 0.324281i \(0.105122\pi\)
−0.481252 + 0.876582i \(0.659818\pi\)
\(138\) −12.4381 + 25.3051i −1.05880 + 2.15411i
\(139\) 16.1799 + 3.49563i 1.37236 + 0.296495i 0.836573 0.547856i \(-0.184556\pi\)
0.535790 + 0.844352i \(0.320014\pi\)
\(140\) −1.54433 + 6.54986i −0.130520 + 0.553564i
\(141\) −8.05981 + 7.52323i −0.678758 + 0.633570i
\(142\) −23.3380 + 25.9631i −1.95848 + 2.17877i
\(143\) 13.2021 9.79537i 1.10402 0.819130i
\(144\) −16.1337 + 25.9074i −1.34447 + 2.15895i
\(145\) 0.897003 0.170414i 0.0744920 0.0141521i
\(146\) 1.48500 18.2129i 0.122900 1.50731i
\(147\) −27.6233 + 1.38412i −2.27833 + 0.114160i
\(148\) 3.34311 1.66928i 0.274802 0.137214i
\(149\) 8.07767 12.6164i 0.661748 1.03358i −0.334099 0.942538i \(-0.608432\pi\)
0.995848 0.0910371i \(-0.0290182\pi\)
\(150\) −27.3532 + 12.8129i −2.23338 + 1.04617i
\(151\) 0.114793 + 0.174447i 0.00934175 + 0.0141963i 0.840001 0.542585i \(-0.182554\pi\)
−0.830659 + 0.556781i \(0.812036\pi\)
\(152\) 58.3497 + 46.7889i 4.73278 + 3.79508i
\(153\) 0.358874 0.516720i 0.0290132 0.0417743i
\(154\) −33.6165 + 26.2716i −2.70889 + 2.11703i
\(155\) 1.60904 0.657656i 0.129241 0.0528242i
\(156\) −41.9544 38.1900i −3.35904 3.05765i
\(157\) −5.81907 + 12.2229i −0.464412 + 0.975493i 0.527616 + 0.849483i \(0.323086\pi\)
−0.992029 + 0.126011i \(0.959783\pi\)
\(158\) 20.6908 18.8343i 1.64607 1.49838i
\(159\) −0.725458 2.39489i −0.0575326 0.189927i
\(160\) 5.12087 3.32401i 0.404840 0.262786i
\(161\) 16.5075 + 11.6186i 1.30097 + 0.915677i
\(162\) −11.4854 27.6060i −0.902378 2.16893i
\(163\) 12.2830 + 4.66509i 0.962079 + 0.365398i 0.785482 0.618885i \(-0.212415\pi\)
0.176597 + 0.984283i \(0.443491\pi\)
\(164\) −19.1101 8.09139i −1.49225 0.631832i
\(165\) 2.17799 + 0.527937i 0.169556 + 0.0410999i
\(166\) 5.62026 13.0459i 0.436217 1.01255i
\(167\) 0.531753 16.9884i 0.0411483 1.31460i −0.732405 0.680869i \(-0.761602\pi\)
0.773554 0.633731i \(-0.218477\pi\)
\(168\) 70.5472 + 61.0593i 5.44284 + 4.71083i
\(169\) 6.66908 5.07879i 0.513006 0.390676i
\(170\) −0.203372 + 0.117983i −0.0155979 + 0.00904889i
\(171\) 15.6159 4.41205i 1.19418 0.337398i
\(172\) 5.54632 + 2.26692i 0.422903 + 0.172851i
\(173\) 6.19977 + 13.0226i 0.471360 + 0.990087i 0.990769 + 0.135561i \(0.0432836\pi\)
−0.519409 + 0.854526i \(0.673848\pi\)
\(174\) 5.79165 19.1194i 0.439064 1.44944i
\(175\) 6.00962 + 20.7726i 0.454285 + 1.57026i
\(176\) 52.6614 + 5.29070i 3.96950 + 0.398802i
\(177\) 7.18601 + 21.7452i 0.540133 + 1.63447i
\(178\) 1.45079 1.98115i 0.108741 0.148493i
\(179\) 5.91351 10.9703i 0.441997 0.819961i −0.557954 0.829872i \(-0.688414\pi\)
0.999951 + 0.00991033i \(0.00315461\pi\)
\(180\) 0.137494 3.13663i 0.0102482 0.233790i
\(181\) −0.0746368 1.08250i −0.00554771 0.0804615i 0.994046 0.108960i \(-0.0347521\pi\)
−0.999594 + 0.0284986i \(0.990927\pi\)
\(182\) −43.2946 + 34.7167i −3.20921 + 2.57337i
\(183\) −26.7981 8.67016i −1.98097 0.640917i
\(184\) −8.36858 42.5939i −0.616940 3.14006i
\(185\) −0.107539 + 0.159051i −0.00790643 + 0.0116937i
\(186\) 3.56499 37.8654i 0.261398 2.77642i
\(187\) −1.07870 0.163245i −0.0788821 0.0119376i
\(188\) 4.50449 26.4043i 0.328524 1.92573i
\(189\) −9.11626 + 2.20975i −0.663110 + 0.160736i
\(190\) −5.98440 0.982419i −0.434154 0.0712722i
\(191\) 0.583035 10.3406i 0.0421869 0.748221i −0.904581 0.426303i \(-0.859816\pi\)
0.946768 0.321918i \(-0.104328\pi\)
\(192\) −6.24902 66.3737i −0.450984 4.79011i
\(193\) 3.07320 + 1.68150i 0.221214 + 0.121037i 0.586774 0.809751i \(-0.300398\pi\)
−0.365561 + 0.930788i \(0.619123\pi\)
\(194\) −23.5179 + 30.4842i −1.68848 + 2.18864i
\(195\) 2.84133 + 0.651189i 0.203472 + 0.0466326i
\(196\) 51.3531 43.3343i 3.66808 3.09531i
\(197\) 11.9704 0.900647i 0.852858 0.0641685i 0.358608 0.933488i \(-0.383251\pi\)
0.494250 + 0.869320i \(0.335443\pi\)
\(198\) 13.1205 14.9690i 0.932435 1.06380i
\(199\) 0.0792195 + 12.6584i 0.00561572 + 0.897333i 0.896485 + 0.443074i \(0.146112\pi\)
−0.890869 + 0.454259i \(0.849904\pi\)
\(200\) 21.5504 41.2053i 1.52384 2.91366i
\(201\) 2.93183 9.25926i 0.206795 0.653098i
\(202\) 39.8100 + 22.4340i 2.80102 + 1.57845i
\(203\) −12.8746 6.22845i −0.903618 0.437151i
\(204\) 0.164884 + 3.76146i 0.0115442 + 0.263355i
\(205\) 1.05953 0.119860i 0.0740005 0.00837136i
\(206\) 31.2071 + 25.6723i 2.17430 + 1.78868i
\(207\) −8.57799 3.88799i −0.596212 0.270234i
\(208\) 68.5786 + 6.02388i 4.75507 + 0.417681i
\(209\) −18.8120 20.9280i −1.30125 1.44762i
\(210\) −7.41411 1.50493i −0.511622 0.103850i
\(211\) 8.46825 5.80318i 0.582979 0.399507i −0.237330 0.971429i \(-0.576272\pi\)
0.820308 + 0.571922i \(0.193802\pi\)
\(212\) 4.92724 + 3.56104i 0.338404 + 0.244573i
\(213\) −21.9525 18.5247i −1.50416 1.26929i
\(214\) 3.60582 + 4.79687i 0.246489 + 0.327908i
\(215\) −0.305451 + 0.0384321i −0.0208316 + 0.00262105i
\(216\) 17.4475 + 10.1219i 1.18715 + 0.688710i
\(217\) −26.3795 6.74496i −1.79076 0.457877i
\(218\) 2.15871 16.3312i 0.146206 1.10609i
\(219\) 15.0163 + 0.752424i 1.01471 + 0.0508441i
\(220\) −4.98671 + 2.18542i −0.336204 + 0.147341i
\(221\) −1.40563 0.194759i −0.0945530 0.0131009i
\(222\) 1.99328 + 3.69780i 0.133780 + 0.248180i
\(223\) −1.61638 + 0.781969i −0.108241 + 0.0523645i −0.488827 0.872381i \(-0.662575\pi\)
0.380586 + 0.924746i \(0.375722\pi\)
\(224\) −95.4437 5.98082i −6.37710 0.399610i
\(225\) −4.56338 8.99786i −0.304225 0.599858i
\(226\) 7.08434 15.3734i 0.471243 1.02263i
\(227\) 18.9118 4.33429i 1.25522 0.287677i 0.456688 0.889627i \(-0.349036\pi\)
0.798534 + 0.601950i \(0.205609\pi\)
\(228\) −58.3534 + 77.6283i −3.86455 + 5.14106i
\(229\) −1.68170 + 2.94106i −0.111130 + 0.194351i −0.918213 0.396087i \(-0.870368\pi\)
0.807083 + 0.590438i \(0.201045\pi\)
\(230\) 2.28672 + 2.67571i 0.150782 + 0.176431i
\(231\) −22.4709 26.9696i −1.47848 1.77447i
\(232\) 10.7395 + 28.8186i 0.705080 + 1.89204i
\(233\) −19.0402 0.238326i −1.24737 0.0156132i −0.613901 0.789383i \(-0.710400\pi\)
−0.633467 + 0.773770i \(0.718369\pi\)
\(234\) 16.8211 19.6825i 1.09963 1.28669i
\(235\) 0.464414 + 1.29555i 0.0302950 + 0.0845126i
\(236\) −45.8963 31.4521i −2.98759 2.04736i
\(237\) 16.0218 + 16.5311i 1.04073 + 1.07381i
\(238\) 3.65955 + 0.413989i 0.237213 + 0.0268349i
\(239\) 0.338727 4.91275i 0.0219104 0.317779i −0.973942 0.226797i \(-0.927175\pi\)
0.995853 0.0909822i \(-0.0290006\pi\)
\(240\) 5.35355 + 7.70824i 0.345570 + 0.497565i
\(241\) −13.1317 4.06774i −0.845887 0.262026i −0.157635 0.987498i \(-0.550387\pi\)
−0.688252 + 0.725471i \(0.741622\pi\)
\(242\) −4.32134 1.16273i −0.277786 0.0747432i
\(243\) 16.5741 7.51225i 1.06323 0.481911i
\(244\) 64.5573 22.6868i 4.13286 1.45237i
\(245\) −1.20560 + 3.23514i −0.0770227 + 0.206686i
\(246\) 8.41982 21.7578i 0.536828 1.38723i
\(247\) −24.8080 26.9131i −1.57850 1.71244i
\(248\) 30.9511 + 49.7011i 1.96540 + 3.15602i
\(249\) 10.8735 + 4.28623i 0.689078 + 0.271629i
\(250\) 0.237810 + 7.59752i 0.0150404 + 0.480509i
\(251\) 11.9737 14.7422i 0.755772 0.930519i −0.243452 0.969913i \(-0.578280\pi\)
0.999224 + 0.0393937i \(0.0125426\pi\)
\(252\) −31.0054 + 38.1744i −1.95316 + 2.40476i
\(253\) 0.510960 + 16.3241i 0.0321238 + 1.02629i
\(254\) −41.7020 16.4386i −2.61662 1.03145i
\(255\) −0.102263 0.164214i −0.00640398 0.0102835i
\(256\) 29.1995 + 31.6772i 1.82497 + 1.97983i
\(257\) 4.94586 12.7807i 0.308514 0.797237i −0.688865 0.724889i \(-0.741891\pi\)
0.997379 0.0723483i \(-0.0230493\pi\)
\(258\) −2.35217 + 6.31190i −0.146440 + 0.392962i
\(259\) 2.83732 0.997093i 0.176302 0.0619564i
\(260\) −6.45024 + 2.92358i −0.400027 + 0.181313i
\(261\) 6.44347 + 1.73373i 0.398841 + 0.107315i
\(262\) 13.5852 + 4.20823i 0.839299 + 0.259986i
\(263\) −0.201998 0.290844i −0.0124557 0.0179342i 0.815063 0.579373i \(-0.196702\pi\)
−0.827519 + 0.561438i \(0.810248\pi\)
\(264\) −5.19239 + 75.3081i −0.319570 + 4.63490i
\(265\) −0.310384 0.0351123i −0.0190667 0.00215693i
\(266\) 66.1124 + 68.2142i 4.05361 + 4.18248i
\(267\) 1.66662 + 1.14212i 0.101996 + 0.0698963i
\(268\) 7.96220 + 22.2118i 0.486369 + 1.35680i
\(269\) −6.33728 + 7.41530i −0.386391 + 0.452119i −0.919009 0.394237i \(-0.871009\pi\)
0.532618 + 0.846356i \(0.321208\pi\)
\(270\) −1.63543 0.0204706i −0.0995292 0.00124580i
\(271\) 6.02814 + 16.1761i 0.366183 + 0.982629i 0.981008 + 0.193965i \(0.0621349\pi\)
−0.614825 + 0.788663i \(0.710773\pi\)
\(272\) −2.92453 3.51003i −0.177326 0.212827i
\(273\) −29.6652 34.7114i −1.79542 2.10083i
\(274\) 20.4328 35.7342i 1.23439 2.15878i
\(275\) −10.5126 + 13.9850i −0.633932 + 0.843328i
\(276\) 54.9393 12.5912i 3.30696 0.757903i
\(277\) 4.13112 8.96478i 0.248215 0.538641i −0.743250 0.669014i \(-0.766717\pi\)
0.991465 + 0.130372i \(0.0416172\pi\)
\(278\) −20.4495 40.3213i −1.22648 2.41831i
\(279\) 12.6785 + 0.794475i 0.759040 + 0.0475640i
\(280\) 10.4842 5.07203i 0.626549 0.303112i
\(281\) 4.06178 + 7.53513i 0.242305 + 0.449508i 0.972233 0.234017i \(-0.0751870\pi\)
−0.729927 + 0.683525i \(0.760446\pi\)
\(282\) 29.8278 + 4.13282i 1.77622 + 0.246106i
\(283\) −1.66534 + 0.729831i −0.0989940 + 0.0433839i −0.450304 0.892875i \(-0.648684\pi\)
0.351310 + 0.936259i \(0.385736\pi\)
\(284\) 69.6968 + 3.49230i 4.13574 + 0.207230i
\(285\) 0.653885 4.94681i 0.0387328 0.293024i
\(286\) −43.4995 11.1224i −2.57218 0.657678i
\(287\) −14.4472 8.38133i −0.852792 0.494734i
\(288\) 44.2677 5.56980i 2.60850 0.328204i
\(289\) −10.1582 13.5136i −0.597542 0.794918i
\(290\) −1.90584 1.60825i −0.111915 0.0944395i
\(291\) −25.6753 18.5562i −1.50511 1.08778i
\(292\) −30.1312 + 20.6485i −1.76329 + 1.20836i
\(293\) 13.3702 + 2.71391i 0.781096 + 0.158548i 0.572994 0.819559i \(-0.305782\pi\)
0.208101 + 0.978107i \(0.433272\pi\)
\(294\) 50.4991 + 56.1792i 2.94517 + 3.27644i
\(295\) 2.84782 + 0.250149i 0.165806 + 0.0145643i
\(296\) −5.89027 2.66977i −0.342365 0.155177i
\(297\) −5.86091 4.82144i −0.340084 0.279768i
\(298\) −40.6563 + 4.59927i −2.35516 + 0.266429i
\(299\) 0.930319 + 21.2231i 0.0538017 + 1.22737i
\(300\) 54.3526 + 26.2947i 3.13805 + 1.51812i
\(301\) 4.20119 + 2.36748i 0.242152 + 0.136459i
\(302\) 0.172171 0.543748i 0.00990732 0.0312892i
\(303\) −17.4247 + 33.3169i −1.00102 + 1.91400i
\(304\) −0.737478 117.841i −0.0422973 6.75866i
\(305\) −2.31748 + 2.64398i −0.132699 + 0.151394i
\(306\) −1.71342 + 0.128916i −0.0979495 + 0.00736965i
\(307\) −11.7218 + 9.89145i −0.668999 + 0.564535i −0.914363 0.404896i \(-0.867308\pi\)
0.245364 + 0.969431i \(0.421093\pi\)
\(308\) 83.1289 + 19.0518i 4.73671 + 1.08558i
\(309\) −20.3094 + 26.3253i −1.15536 + 1.49759i
\(310\) −4.16489 2.27882i −0.236550 0.129428i
\(311\) −2.09170 22.2169i −0.118609 1.25980i −0.830302 0.557314i \(-0.811832\pi\)
0.711693 0.702491i \(-0.247929\pi\)
\(312\) −5.52733 + 98.0318i −0.312923 + 5.54996i
\(313\) 19.2258 + 3.15617i 1.08671 + 0.178397i 0.678579 0.734527i \(-0.262596\pi\)
0.408128 + 0.912925i \(0.366182\pi\)
\(314\) 35.9330 8.71003i 2.02782 0.491536i
\(315\) 0.424940 2.49090i 0.0239426 0.140346i
\(316\) −55.2994 8.36876i −3.11083 0.470779i
\(317\) −2.89870 + 30.7884i −0.162807 + 1.72925i 0.412193 + 0.911096i \(0.364763\pi\)
−0.575000 + 0.818153i \(0.694998\pi\)
\(318\) −3.82809 + 5.66178i −0.214669 + 0.317497i
\(319\) −2.23081 11.3542i −0.124901 0.635714i
\(320\) −7.91783 2.56171i −0.442620 0.143204i
\(321\) −3.85209 + 3.08888i −0.215003 + 0.172404i
\(322\) −3.79237 55.0028i −0.211340 3.06519i
\(323\) −0.106379 + 2.42679i −0.00591906 + 0.135030i
\(324\) −28.3599 + 52.6114i −1.57555 + 2.92285i
\(325\) −13.4452 + 18.3603i −0.745805 + 1.01845i
\(326\) −11.2600 34.0734i −0.623634 1.88715i
\(327\) 13.4862 + 1.35491i 0.745788 + 0.0749267i
\(328\) 9.98145 + 34.5014i 0.551133 + 1.90502i
\(329\) 6.24992 20.6323i 0.344569 1.13749i
\(330\) −2.63105 5.52649i −0.144835 0.304223i
\(331\) 14.5242 + 5.93640i 0.798321 + 0.326294i 0.740520 0.672034i \(-0.234579\pi\)
0.0578008 + 0.998328i \(0.481591\pi\)
\(332\) −27.3253 + 7.72037i −1.49967 + 0.423710i
\(333\) −1.21367 + 0.704091i −0.0665086 + 0.0385840i
\(334\) −36.9317 + 28.1251i −2.02081 + 1.53894i
\(335\) −0.916700 0.793412i −0.0500847 0.0433487i
\(336\) 4.59920 146.935i 0.250907 8.01595i
\(337\) 10.5398 24.4652i 0.574141 1.33271i −0.344935 0.938627i \(-0.612099\pi\)
0.919076 0.394080i \(-0.128937\pi\)
\(338\) −22.2508 5.39352i −1.21028 0.293369i
\(339\) 12.8254 + 5.43036i 0.696577 + 0.294937i
\(340\) 0.439365 + 0.166871i 0.0238279 + 0.00904985i
\(341\) −8.46210 20.3393i −0.458248 1.10143i
\(342\) −36.2428 25.5092i −1.95979 1.37938i
\(343\) 19.5618 12.6978i 1.05624 0.685615i
\(344\) −3.00631 9.92446i −0.162090 0.535091i
\(345\) −2.14162 + 1.94946i −0.115301 + 0.104955i
\(346\) 16.9329 35.5674i 0.910320 1.91212i
\(347\) 17.8830 + 16.2784i 0.960008 + 0.873869i 0.992079 0.125616i \(-0.0400908\pi\)
−0.0320711 + 0.999486i \(0.510210\pi\)
\(348\) −36.9652 + 15.1086i −1.98154 + 0.809907i
\(349\) 0.552317 0.431641i 0.0295649 0.0231052i −0.600880 0.799339i \(-0.705183\pi\)
0.630445 + 0.776234i \(0.282872\pi\)
\(350\) 33.6907 48.5092i 1.80085 2.59292i
\(351\) −7.70131 6.17545i −0.411065 0.329621i
\(352\) −42.5314 64.6332i −2.26693 3.44496i
\(353\) −6.04416 + 2.83124i −0.321698 + 0.150692i −0.578297 0.815826i \(-0.696283\pi\)
0.256599 + 0.966518i \(0.417398\pi\)
\(354\) 33.7271 52.6779i 1.79258 2.79980i
\(355\) −3.20791 + 1.60177i −0.170258 + 0.0850132i
\(356\) −4.90236 + 0.245643i −0.259825 + 0.0130191i
\(357\) −0.246258 + 3.02024i −0.0130334 + 0.159848i
\(358\) −33.4401 + 6.35302i −1.76737 + 0.335768i
\(359\) 1.20095 1.92849i 0.0633839 0.101782i −0.815639 0.578561i \(-0.803614\pi\)
0.879023 + 0.476780i \(0.158196\pi\)
\(360\) −4.36379 + 3.23773i −0.229992 + 0.170643i
\(361\) −29.1842 + 32.4668i −1.53601 + 1.70878i
\(362\) −2.16643 + 2.02220i −0.113865 + 0.106284i
\(363\) 0.844981 3.58376i 0.0443500 0.188099i
\(364\) 108.429 + 23.4259i 5.68324 + 1.22785i
\(365\) 0.827895 1.68434i 0.0433340 0.0881623i
\(366\) 27.7628 + 71.7424i 1.45118 + 3.75003i
\(367\) −22.5984 + 0.282864i −1.17963 + 0.0147654i −0.599921 0.800059i \(-0.704801\pi\)
−0.579708 + 0.814824i \(0.696833\pi\)
\(368\) −43.7806 + 52.5457i −2.28222 + 2.73913i
\(369\) 7.35176 + 2.58356i 0.382717 + 0.134495i
\(370\) 0.522368 0.0458843i 0.0271566 0.00238541i
\(371\) 3.57680 + 3.33868i 0.185698 + 0.173336i
\(372\) −63.2459 + 42.1881i −3.27915 + 2.18735i
\(373\) 3.50200 13.3477i 0.181326 0.691117i −0.812767 0.582589i \(-0.802040\pi\)
0.994093 0.108528i \(-0.0346136\pi\)
\(374\) 1.51133 + 2.56798i 0.0781490 + 0.132787i
\(375\) −6.24201 + 0.391145i −0.322336 + 0.0201987i
\(376\) −40.3867 + 22.7590i −2.08278 + 1.17370i
\(377\) −3.08628 14.7312i −0.158951 0.758695i
\(378\) 20.3821 + 15.5219i 1.04834 + 0.798359i
\(379\) 26.3163 + 3.31114i 1.35178 + 0.170082i 0.767279 0.641313i \(-0.221610\pi\)
0.584498 + 0.811395i \(0.301291\pi\)
\(380\) 6.01745 + 10.5237i 0.308689 + 0.539854i
\(381\) 12.4455 34.7185i 0.637601 1.77868i
\(382\) −22.9265 + 16.5695i −1.17302 + 0.847772i
\(383\) 22.8627 + 1.72018i 1.16823 + 0.0878970i 0.644924 0.764247i \(-0.276889\pi\)
0.523308 + 0.852144i \(0.324698\pi\)
\(384\) −60.1420 + 59.0233i −3.06911 + 3.01202i
\(385\) −4.20165 + 1.24411i −0.214136 + 0.0634057i
\(386\) −1.72692 9.41071i −0.0878978 0.478992i
\(387\) −2.13178 0.719307i −0.108365 0.0365644i
\(388\) 76.9385 1.92637i 3.90596 0.0977968i
\(389\) −1.16646 4.68396i −0.0591418 0.237486i 0.933499 0.358579i \(-0.116739\pi\)
−0.992641 + 0.121093i \(0.961360\pi\)
\(390\) −3.51197 7.14504i −0.177835 0.361803i
\(391\) 0.955528 1.03661i 0.0483231 0.0524236i
\(392\) −114.248 21.7051i −5.77040 1.09627i
\(393\) −3.11111 + 11.2807i −0.156935 + 0.569037i
\(394\) −22.5214 23.8270i −1.13461 1.20039i
\(395\) 2.68645 1.02032i 0.135170 0.0513377i
\(396\) −39.7614 1.49370i −1.99809 0.0750612i
\(397\) 32.5106 8.74755i 1.63166 0.439027i 0.676822 0.736147i \(-0.263357\pi\)
0.954840 + 0.297120i \(0.0960261\pi\)
\(398\) 26.7000 21.9646i 1.33835 1.10099i
\(399\) −54.3969 + 56.1262i −2.72325 + 2.80983i
\(400\) −71.8024 + 14.5746i −3.59012 + 0.728729i
\(401\) −28.2019 20.9245i −1.40834 1.04492i −0.990665 0.136322i \(-0.956472\pi\)
−0.417672 0.908598i \(-0.637154\pi\)
\(402\) −24.6784 + 9.72801i −1.23085 + 0.485189i
\(403\) −11.3371 26.3159i −0.564741 1.31089i
\(404\) −15.3610 90.0427i −0.764238 4.47979i
\(405\) −0.0576519 3.07040i −0.00286475 0.152570i
\(406\) 8.96426 + 38.0195i 0.444889 + 1.88687i
\(407\) 2.02419 + 1.35023i 0.100335 + 0.0669284i
\(408\) 4.87327 4.32572i 0.241263 0.214155i
\(409\) 6.25520 + 7.13645i 0.309300 + 0.352875i 0.885671 0.464314i \(-0.153699\pi\)
−0.576371 + 0.817188i \(0.695532\pi\)
\(410\) −2.07852 2.03985i −0.102651 0.100741i
\(411\) 29.9135 + 15.8839i 1.47552 + 0.783497i
\(412\) 0.505511 80.7754i 0.0249048 3.97952i
\(413\) −33.4898 29.7270i −1.64793 1.46277i
\(414\) 6.52783 + 24.8805i 0.320825 + 1.22281i
\(415\) 1.02841 1.03486i 0.0504825 0.0507994i
\(416\) −56.3694 83.3709i −2.76374 4.08759i
\(417\) 32.6335 17.8554i 1.59807 0.874382i
\(418\) −11.9756 + 75.9183i −0.585745 + 3.71329i
\(419\) −9.31642 + 1.64942i −0.455137 + 0.0805793i −0.397182 0.917740i \(-0.630012\pi\)
−0.0579551 + 0.998319i \(0.518458\pi\)
\(420\) 7.00849 + 13.4006i 0.341979 + 0.653881i
\(421\) −24.6990 + 13.1151i −1.20376 + 0.639191i −0.945101 0.326779i \(-0.894037\pi\)
−0.258657 + 0.965969i \(0.583280\pi\)
\(422\) −26.8846 7.96052i −1.30872 0.387512i
\(423\) −1.06804 + 10.0011i −0.0519297 + 0.486270i
\(424\) −0.592293 10.5048i −0.0287643 0.510159i
\(425\) 1.49325 0.225982i 0.0724333 0.0109617i
\(426\) −1.47281 + 78.4381i −0.0713577 + 3.80034i
\(427\) 53.8309 11.6300i 2.60506 0.562816i
\(428\) 2.89878 11.6401i 0.140118 0.562648i
\(429\) 8.02718 36.0599i 0.387556 1.74099i
\(430\) 0.607437 + 0.581394i 0.0292932 + 0.0280373i
\(431\) 2.12692 + 6.17563i 0.102450 + 0.297470i 0.984949 0.172845i \(-0.0552959\pi\)
−0.882499 + 0.470314i \(0.844141\pi\)
\(432\) −4.95210 31.3935i −0.238258 1.51042i
\(433\) −1.26756 1.64303i −0.0609150 0.0789589i 0.760321 0.649548i \(-0.225042\pi\)
−0.821236 + 0.570589i \(0.806715\pi\)
\(434\) 31.1235 + 67.5399i 1.49398 + 3.24202i
\(435\) 1.27355 1.60875i 0.0610620 0.0771335i
\(436\) −28.0605 + 17.2318i −1.34385 + 0.825251i
\(437\) 36.0201 4.99080i 1.72308 0.238743i
\(438\) −24.2616 33.1309i −1.15926 1.58305i
\(439\) −1.09605 + 1.53672i −0.0523116 + 0.0733435i −0.839465 0.543413i \(-0.817132\pi\)
0.787154 + 0.616757i \(0.211554\pi\)
\(440\) 8.37702 + 4.31463i 0.399359 + 0.205692i
\(441\) −18.2275 + 17.4460i −0.867977 + 0.830762i
\(442\) 2.00747 + 3.31536i 0.0954858 + 0.157695i
\(443\) 1.93976 2.05221i 0.0921606 0.0975032i −0.679020 0.734120i \(-0.737595\pi\)
0.771180 + 0.636617i \(0.219667\pi\)
\(444\) 3.22561 7.75298i 0.153081 0.367940i
\(445\) 0.213246 0.134657i 0.0101089 0.00638337i
\(446\) 4.44106 + 2.08031i 0.210290 + 0.0985054i
\(447\) −4.82896 33.3170i −0.228402 1.57584i
\(448\) 75.6940 + 106.127i 3.57620 + 5.01402i
\(449\) −0.199524 + 0.603770i −0.00941612 + 0.0284937i −0.954099 0.299492i \(-0.903183\pi\)
0.944683 + 0.327986i \(0.106370\pi\)
\(450\) −11.2181 + 25.1681i −0.528828 + 1.18643i
\(451\) −1.60301 13.4179i −0.0754830 0.631823i
\(452\) −32.7820 + 8.38199i −1.54193 + 0.394256i
\(453\) 0.451606 + 0.127595i 0.0212183 + 0.00599493i
\(454\) −41.7533 32.6306i −1.95958 1.53143i
\(455\) −5.44450 + 1.68652i −0.255242 + 0.0790651i
\(456\) 167.957 6.30957i 7.86531 0.295473i
\(457\) −17.5022 + 7.41060i −0.818720 + 0.346653i −0.758615 0.651539i \(-0.774124\pi\)
−0.0601052 + 0.998192i \(0.519144\pi\)
\(458\) 9.13091 1.49896i 0.426659 0.0700418i
\(459\) 0.0695657 + 0.651414i 0.00324705 + 0.0304054i
\(460\) 1.26990 6.92021i 0.0592092 0.322656i
\(461\) −6.15461 + 11.0832i −0.286649 + 0.516197i −0.978606 0.205742i \(-0.934039\pi\)
0.691958 + 0.721938i \(0.256749\pi\)
\(462\) −18.4840 + 94.0785i −0.859952 + 4.37693i
\(463\) 7.56897 + 7.61649i 0.351760 + 0.353968i 0.862761 0.505612i \(-0.168733\pi\)
−0.511001 + 0.859580i \(0.670725\pi\)
\(464\) 24.5780 41.7617i 1.14101 1.93874i
\(465\) 1.76687 3.48383i 0.0819365 0.161559i
\(466\) 32.2803 + 40.7765i 1.49536 + 1.88893i
\(467\) 34.6873 + 12.6798i 1.60514 + 0.586752i 0.980905 0.194487i \(-0.0623042\pi\)
0.624233 + 0.781239i \(0.285412\pi\)
\(468\) −51.7388 1.29543i −2.39163 0.0598812i
\(469\) 4.12644 + 18.5369i 0.190541 + 0.855955i
\(470\) 1.94695 3.21540i 0.0898061 0.148315i
\(471\) 8.08803 + 29.3268i 0.372677 + 1.35131i
\(472\) 7.82545 + 95.9755i 0.360196 + 4.41763i
\(473\) 0.511276 + 3.86794i 0.0235085 + 0.177848i
\(474\) 7.45865 62.4320i 0.342587 2.86760i
\(475\) 33.4478 + 19.9679i 1.53469 + 0.916191i
\(476\) −3.96957 6.20001i −0.181945 0.284177i
\(477\) −1.93017 1.21883i −0.0883763 0.0558064i
\(478\) −10.9985 + 7.74119i −0.503059 + 0.354074i
\(479\) 0.506008 1.26048i 0.0231201 0.0575929i −0.916008 0.401160i \(-0.868607\pi\)
0.939128 + 0.343567i \(0.111635\pi\)
\(480\) 3.81280 13.1791i 0.174030 0.601543i
\(481\) 2.65468 + 1.72318i 0.121043 + 0.0785704i
\(482\) 13.9878 + 34.8440i 0.637127 + 1.58710i
\(483\) 45.1362 4.53467i 2.05377 0.206335i
\(484\) 3.64181 + 8.17046i 0.165537 + 0.371384i
\(485\) −3.39538 + 2.02700i −0.154176 + 0.0920413i
\(486\) −44.4655 22.2025i −2.01699 1.00712i
\(487\) 2.77257 + 1.21507i 0.125637 + 0.0550603i 0.463267 0.886219i \(-0.346677\pi\)
−0.337630 + 0.941279i \(0.609625\pi\)
\(488\) −100.917 61.9727i −4.56832 2.80537i
\(489\) 27.7318 10.1372i 1.25407 0.458422i
\(490\) 8.93457 3.01470i 0.403623 0.136190i
\(491\) 15.9802 + 28.7771i 0.721175 + 1.29869i 0.945960 + 0.324282i \(0.105123\pi\)
−0.224786 + 0.974408i \(0.572168\pi\)
\(492\) −44.3712 + 14.3557i −2.00041 + 0.647205i
\(493\) −0.549074 + 0.834405i −0.0247290 + 0.0375797i
\(494\) −14.3398 + 98.9359i −0.645176 + 4.45134i
\(495\) 1.81751 0.936117i 0.0816908 0.0420753i
\(496\) 30.0407 87.2248i 1.34887 3.91651i
\(497\) 55.3046 + 9.79136i 2.48075 + 0.439202i
\(498\) −9.63613 30.4327i −0.431805 1.36372i
\(499\) −6.05051 + 28.8799i −0.270858 + 1.29284i 0.599481 + 0.800389i \(0.295374\pi\)
−0.870339 + 0.492452i \(0.836101\pi\)
\(500\) 11.4889 9.94372i 0.513798 0.444697i
\(501\) −24.0805 29.6483i −1.07584 1.32459i
\(502\) −51.8717 −2.31515
\(503\) 21.0283 + 7.79801i 0.937607 + 0.347696i
\(504\) 85.1145 3.79130
\(505\) 2.95892 + 3.64307i 0.131670 + 0.162115i
\(506\) 33.7280 29.1919i 1.49939 1.29774i
\(507\) 3.86281 18.4377i 0.171553 0.818847i
\(508\) 27.0481 + 85.4229i 1.20006 + 3.79003i
\(509\) −27.5094 4.87037i −1.21933 0.215875i −0.472766 0.881188i \(-0.656745\pi\)
−0.746565 + 0.665312i \(0.768298\pi\)
\(510\) −0.172053 + 0.499565i −0.00761862 + 0.0221211i
\(511\) −26.1355 + 13.4612i −1.15617 + 0.595490i
\(512\) 6.12073 42.2294i 0.270501 1.86630i
\(513\) −9.28878 + 14.1158i −0.410110 + 0.623227i
\(514\) −35.6119 + 11.5218i −1.57077 + 0.508203i
\(515\) 2.01493 + 3.62848i 0.0887883 + 0.159890i
\(516\) 12.7581 4.30483i 0.561643 0.189509i
\(517\) 16.3817 5.98828i 0.720468 0.263364i
\(518\) −6.99948 4.29833i −0.307540 0.188858i
\(519\) 29.6862 + 13.0099i 1.30308 + 0.571073i
\(520\) 10.9656 + 5.47532i 0.480872 + 0.240109i
\(521\) −4.04674 + 2.41585i −0.177291 + 0.105840i −0.598499 0.801124i \(-0.704236\pi\)
0.421208 + 0.906964i \(0.361606\pi\)
\(522\) −7.41949 16.6458i −0.324742 0.728565i
\(523\) −33.5325 + 3.36889i −1.46627 + 0.147311i −0.800719 0.599040i \(-0.795549\pi\)
−0.665553 + 0.746351i \(0.731804\pi\)
\(524\) −10.5911 26.3827i −0.462674 1.15253i
\(525\) 40.7608 + 26.4583i 1.77895 + 1.15473i
\(526\) −0.268780 + 0.929052i −0.0117194 + 0.0405086i
\(527\) −0.708434 + 1.76473i −0.0308599 + 0.0768729i
\(528\) 97.2620 68.4570i 4.23279 2.97921i
\(529\) 1.60212 + 1.01168i 0.0696575 + 0.0439862i
\(530\) 0.460013 + 0.718487i 0.0199817 + 0.0312091i
\(531\) 17.9388 + 10.7092i 0.778476 + 0.464740i
\(532\) 22.5256 188.549i 0.976610 8.17462i
\(533\) −2.30335 17.4255i −0.0997693 0.754781i
\(534\) −0.448443 5.49994i −0.0194060 0.238006i
\(535\) 0.163865 + 0.594166i 0.00708450 + 0.0256880i
\(536\) 21.1517 34.9322i 0.913615 1.50884i
\(537\) −6.08547 27.3373i −0.262608 1.17969i
\(538\) 26.6330 + 0.666832i 1.14823 + 0.0287492i
\(539\) 41.0946 + 15.0220i 1.77007 + 0.647042i
\(540\) 2.02928 + 2.56339i 0.0873263 + 0.110311i
\(541\) 9.67958 19.0858i 0.416158 0.820561i −0.583805 0.811894i \(-0.698437\pi\)
0.999962 0.00866634i \(-0.00275862\pi\)
\(542\) 23.9142 40.6337i 1.02720 1.74537i
\(543\) −1.71880 1.72960i −0.0737610 0.0742240i
\(544\) −1.28761 + 6.55358i −0.0552057 + 0.280983i
\(545\) 0.821394 1.47916i 0.0351846 0.0633604i
\(546\) −22.5090 + 122.661i −0.963298 + 5.24942i
\(547\) 3.54794 + 33.2229i 0.151699 + 1.42051i 0.771739 + 0.635939i \(0.219387\pi\)
−0.620040 + 0.784570i \(0.712884\pi\)
\(548\) −81.1968 + 13.3295i −3.46855 + 0.569409i
\(549\) −23.6608 + 10.0182i −1.00982 + 0.427566i
\(550\) 47.7505 1.79382i 2.03609 0.0764889i
\(551\) −24.6104 + 7.62343i −1.04844 + 0.324769i
\(552\) −76.8607 60.0673i −3.27141 2.55664i
\(553\) −43.3179 12.2388i −1.84206 0.520449i
\(554\) −26.1191 + 6.67838i −1.10970 + 0.283737i
\(555\) 0.0511815 + 0.428410i 0.00217253 + 0.0181850i
\(556\) −36.7925 + 82.5447i −1.56035 + 3.50067i
\(557\) 5.40144 16.3450i 0.228866 0.692561i −0.769668 0.638444i \(-0.779578\pi\)
0.998535 0.0541167i \(-0.0172343\pi\)
\(558\) −20.1469 28.2469i −0.852884 1.19579i
\(559\) 0.727946 + 5.02240i 0.0307888 + 0.212425i
\(560\) −16.6177 7.78417i −0.702227 0.328941i
\(561\) −2.07298 + 1.30901i −0.0875211 + 0.0552664i
\(562\) 8.98079 21.5860i 0.378832 0.910549i
\(563\) −4.34105 + 4.59270i −0.182953 + 0.193559i −0.811741 0.584018i \(-0.801480\pi\)
0.628788 + 0.777577i \(0.283552\pi\)
\(564\) −31.1777 51.4902i −1.31282 2.16813i
\(565\) 1.25597 1.20212i 0.0528392 0.0505737i
\(566\) 4.41483 + 2.27389i 0.185569 + 0.0955785i
\(567\) −27.9325 + 39.1628i −1.17305 + 1.64468i
\(568\) −71.3561 97.4417i −2.99403 4.08856i
\(569\) −7.36211 + 1.02006i −0.308636 + 0.0427633i −0.289887 0.957061i \(-0.593618\pi\)
−0.0187489 + 0.999824i \(0.505968\pi\)
\(570\) −11.6134 + 7.13169i −0.486431 + 0.298714i
\(571\) 10.7817 13.6195i 0.451201 0.569957i −0.504832 0.863218i \(-0.668446\pi\)
0.956033 + 0.293261i \(0.0947403\pi\)
\(572\) 37.5621 + 81.5121i 1.57055 + 3.40819i
\(573\) −14.2168 18.4280i −0.593916 0.769842i
\(574\) 7.10799 + 45.0606i 0.296682 + 1.88079i
\(575\) −7.36216 21.3764i −0.307023 0.891459i
\(576\) −43.9360 42.0522i −1.83067 1.75218i
\(577\) 0.415360 1.86589i 0.0172917 0.0776780i −0.966689 0.255955i \(-0.917610\pi\)
0.983980 + 0.178277i \(0.0570523\pi\)
\(578\) −11.1579 + 44.8051i −0.464108 + 1.86364i
\(579\) 7.69483 1.66245i 0.319786 0.0690890i
\(580\) −0.0935820 + 4.98395i −0.00388578 + 0.206947i
\(581\) −22.5960 + 3.41957i −0.937438 + 0.141868i
\(582\) 4.87064 + 86.3848i 0.201894 + 3.58077i
\(583\) −0.420362 + 3.93628i −0.0174096 + 0.163024i
\(584\) 60.6161 + 17.9484i 2.50831 + 0.742711i
\(585\) 2.34865 1.24712i 0.0971045 0.0515621i
\(586\) −17.2687 33.0185i −0.713362 1.36398i
\(587\) 32.4839 5.75109i 1.34076 0.237373i 0.542685 0.839936i \(-0.317408\pi\)
0.798071 + 0.602563i \(0.205854\pi\)
\(588\) 23.5283 149.156i 0.970289 6.15107i
\(589\) −43.0296 + 23.5436i −1.77301 + 0.970099i
\(590\) −4.37336 6.46823i −0.180048 0.266293i
\(591\) 19.0154 19.1348i 0.782188 0.787099i
\(592\) 2.58589 + 9.85599i 0.106279 + 0.405079i
\(593\) −34.8254 30.9126i −1.43011 1.26943i −0.909546 0.415604i \(-0.863570\pi\)
−0.520564 0.853823i \(-0.674278\pi\)
\(594\) −0.129717 + 20.7275i −0.00532237 + 0.850458i
\(595\) 0.334083 + 0.177397i 0.0136961 + 0.00727257i
\(596\) 58.3733 + 57.2875i 2.39106 + 2.34659i
\(597\) 18.7508 + 21.3925i 0.767420 + 0.875536i
\(598\) 43.3921 38.5166i 1.77443 1.57506i
\(599\) −20.7820 13.8626i −0.849131 0.566411i 0.0526456 0.998613i \(-0.483235\pi\)
−0.901777 + 0.432202i \(0.857737\pi\)
\(600\) −23.9809 101.708i −0.979016 4.15223i
\(601\) 0.751229 + 40.0086i 0.0306433 + 1.63199i 0.593078 + 0.805145i \(0.297912\pi\)
−0.562435 + 0.826841i \(0.690135\pi\)
\(602\) −2.21491 12.9833i −0.0902728 0.529159i
\(603\) −3.50554 8.13713i −0.142757 0.331370i
\(604\) −1.06068 + 0.418109i −0.0431583 + 0.0170126i
\(605\) −0.369116 0.273867i −0.0150067 0.0111343i
\(606\) 100.637 20.4275i 4.08810 0.829809i
\(607\) −11.5597 + 11.9272i −0.469195 + 0.484111i −0.910654 0.413171i \(-0.864421\pi\)
0.441459 + 0.897281i \(0.354461\pi\)
\(608\) −133.040 + 109.444i −5.39547 + 4.43855i
\(609\) −31.0361 + 8.35081i −1.25765 + 0.338392i
\(610\) 9.59584 + 0.360483i 0.388524 + 0.0145955i
\(611\) 21.2089 8.05517i 0.858021 0.325877i
\(612\) 2.35935 + 2.49613i 0.0953712 + 0.100900i
\(613\) −2.19118 + 7.94509i −0.0885008 + 0.320899i −0.994814 0.101707i \(-0.967570\pi\)
0.906314 + 0.422606i \(0.138884\pi\)
\(614\) 41.1542 + 7.81856i 1.66085 + 0.315531i
\(615\) 1.62405 1.76186i 0.0654882 0.0710451i
\(616\) −65.1094 132.464i −2.62333 5.33712i
\(617\) −3.12851 12.5626i −0.125949 0.505753i −0.999808 0.0195744i \(-0.993769\pi\)
0.873859 0.486179i \(-0.161610\pi\)
\(618\) 90.7817 2.27298i 3.65178 0.0914326i
\(619\) −14.5969 4.92529i −0.586700 0.197964i 0.0106524 0.999943i \(-0.496609\pi\)
−0.597352 + 0.801979i \(0.703780\pi\)
\(620\) 1.71289 + 9.33424i 0.0687911 + 0.374872i
\(621\) 9.40364 2.78442i 0.377355 0.111735i
\(622\) −43.4991 + 42.6900i −1.74415 + 1.71171i
\(623\) −3.93940 0.296398i −0.157829 0.0118749i
\(624\) 125.387 90.6199i 5.01948 3.62770i
\(625\) 8.03985 22.4284i 0.321594 0.897135i
\(626\) −26.4139 46.1942i −1.05571 1.84629i
\(627\) −62.7428 7.89435i −2.50571 0.315270i
\(628\) −58.7991 44.7780i −2.34634 1.78684i
\(629\) −0.0430693 0.205575i −0.00171728 0.00819683i
\(630\) −6.01253 + 3.38821i −0.239545 + 0.134990i
\(631\) 29.0392 1.81969i 1.15603 0.0724408i 0.527031 0.849846i \(-0.323305\pi\)
0.629000 + 0.777405i \(0.283464\pi\)
\(632\) 49.0957 + 83.4210i 1.95292 + 3.31831i
\(633\) 5.85461 22.3145i 0.232700 0.886923i
\(634\) 70.2641 46.8695i 2.79054 1.86143i
\(635\) −3.36553 3.14147i −0.133557 0.124666i
\(636\) 13.6093 1.19543i 0.539645 0.0474019i
\(637\) 53.6930 + 18.8689i 2.12739 + 0.747611i
\(638\) −20.2302 + 24.2803i −0.800920 + 0.961267i
\(639\) −26.2017 + 0.327965i −1.03652 + 0.0129741i
\(640\) 3.79621 + 9.80986i 0.150058 + 0.387769i
\(641\) 13.7102 27.8932i 0.541521 1.10171i −0.437739 0.899102i \(-0.644220\pi\)
0.979259 0.202612i \(-0.0649429\pi\)
\(642\) 13.1815 + 2.84783i 0.520232 + 0.112395i
\(643\) −3.77602 + 16.0150i −0.148912 + 0.631569i 0.846204 + 0.532858i \(0.178882\pi\)
−0.995116 + 0.0987107i \(0.968528\pi\)
\(644\) −80.5649 + 75.2013i −3.17470 + 2.96335i
\(645\) −0.462497 + 0.514517i −0.0182108 + 0.0202591i
\(646\) 5.32807 3.95318i 0.209630 0.155536i
\(647\) −11.0690 + 17.7746i −0.435169 + 0.698792i −0.991200 0.132369i \(-0.957742\pi\)
0.556032 + 0.831161i \(0.312323\pi\)
\(648\) 101.623 19.3065i 3.99211 0.758430i
\(649\) 2.94429 36.1103i 0.115573 1.41745i
\(650\) 62.0761 3.11045i 2.43483 0.122002i
\(651\) −54.7430 + 27.3343i −2.14555 + 1.07131i
\(652\) −38.6790 + 60.4121i −1.51479 + 2.36592i
\(653\) 29.3215 13.7350i 1.14744 0.537491i 0.245519 0.969392i \(-0.421041\pi\)
0.901921 + 0.431901i \(0.142157\pi\)
\(654\) −20.3495 30.9243i −0.795730 1.20924i
\(655\) 1.13959 + 0.913802i 0.0445274 + 0.0357052i
\(656\) 32.2812 46.4796i 1.26037 1.81472i
\(657\) 10.8071 8.44585i 0.421625 0.329504i
\(658\) −54.5031 + 22.2768i −2.12475 + 0.868440i
\(659\) −5.36996 4.88813i −0.209184 0.190415i 0.561793 0.827278i \(-0.310112\pi\)
−0.770976 + 0.636864i \(0.780231\pi\)
\(660\) −5.25933 + 11.0472i −0.204719 + 0.430010i
\(661\) 18.4772 16.8193i 0.718679 0.654194i −0.228997 0.973427i \(-0.573545\pi\)
0.947676 + 0.319233i \(0.103425\pi\)
\(662\) −12.4239 41.0138i −0.482868 1.59405i
\(663\) −2.67485 + 1.73627i −0.103882 + 0.0674312i
\(664\) 40.1868 + 28.2851i 1.55955 + 1.09768i
\(665\) 3.74782 + 9.00816i 0.145334 + 0.349321i
\(666\) 3.58253 + 1.36065i 0.138820 + 0.0527240i
\(667\) 13.7696 + 5.83016i 0.533161 + 0.225745i
\(668\) 90.1828 + 21.8600i 3.48928 + 0.845789i
\(669\) −1.59651 + 3.70584i −0.0617245 + 0.143276i
\(670\) −0.103595 + 3.30963i −0.00400221 + 0.127862i
\(671\) 33.6909 + 29.1598i 1.30062 + 1.12570i
\(672\) −170.972 + 130.202i −6.59538 + 5.02267i
\(673\) −9.37932 + 5.44127i −0.361546 + 0.209746i −0.671497 0.741007i \(-0.734349\pi\)
0.309951 + 0.950752i \(0.399687\pi\)
\(674\) −70.0160 + 19.7820i −2.69692 + 0.761976i
\(675\) 9.72491 + 3.97482i 0.374312 + 0.152991i
\(676\) 19.6727 + 41.3222i 0.756642 + 1.58932i
\(677\) −7.30222 + 24.1061i −0.280647 + 0.926474i 0.697151 + 0.716924i \(0.254451\pi\)
−0.977798 + 0.209549i \(0.932800\pi\)
\(678\) −10.5715 36.5409i −0.405996 1.40334i
\(679\) 61.6319 + 6.19193i 2.36521 + 0.237625i
\(680\) −0.255225 0.772322i −0.00978742 0.0296172i
\(681\) 25.7603 35.1775i 0.987139 1.34801i
\(682\) −28.5491 + 52.9624i −1.09320 + 2.02803i
\(683\) 2.10366 47.9903i 0.0804944 1.83630i −0.353559 0.935412i \(-0.615029\pi\)
0.434054 0.900887i \(-0.357083\pi\)
\(684\) 6.09392 + 88.3834i 0.233007 + 3.37942i
\(685\) 3.29835 2.64485i 0.126023 0.101054i
\(686\) −60.6034 19.6074i −2.31385 0.748615i
\(687\) 1.46778 + 7.47060i 0.0559992 + 0.285021i
\(688\) −9.15160 + 13.5353i −0.348901 + 0.516028i
\(689\) −0.482650 + 5.12645i −0.0183875 + 0.195302i
\(690\) 7.82061 + 1.18353i 0.297726 + 0.0450564i
\(691\) 3.48179 20.4095i 0.132453 0.776412i −0.839873 0.542784i \(-0.817370\pi\)
0.972326 0.233629i \(-0.0750600\pi\)
\(692\) −76.5273 + 18.5499i −2.90913 + 0.705163i
\(693\) −31.6009 5.18771i −1.20042 0.197065i
\(694\) 3.71804 65.9426i 0.141135 2.50315i
\(695\) −0.435252 4.62301i −0.0165100 0.175361i
\(696\) 60.6306 + 33.1740i 2.29820 + 1.25746i
\(697\) −0.712528 + 0.923588i −0.0269889 + 0.0349834i
\(698\) −1.86614 0.427689i −0.0706344 0.0161883i
\(699\) −32.7033 + 27.5967i −1.23695 + 1.04380i
\(700\) −117.727 + 8.85770i −4.44966 + 0.334789i
\(701\) −7.62746 + 8.70203i −0.288085 + 0.328671i −0.877879 0.478883i \(-0.841042\pi\)
0.589794 + 0.807554i \(0.299209\pi\)
\(702\) 0.168726 + 26.9607i 0.00636816 + 1.01757i
\(703\) 2.51077 4.80071i 0.0946956 0.181062i
\(704\) −31.8366 + 100.546i −1.19989 + 3.78947i
\(705\) 2.69444 + 1.51839i 0.101478 + 0.0571857i
\(706\) 16.4099 + 7.93875i 0.617593 + 0.298779i
\(707\) −3.21951 73.4459i −0.121082 2.76222i
\(708\) −124.241 + 14.0549i −4.66927 + 0.528215i
\(709\) −15.1279 12.4449i −0.568139 0.467376i 0.306689 0.951810i \(-0.400779\pi\)
−0.874828 + 0.484433i \(0.839026\pi\)
\(710\) 8.91955 + 4.04280i 0.334745 + 0.151723i
\(711\) 20.9206 + 1.83765i 0.784585 + 0.0689171i
\(712\) 5.67907 + 6.31784i 0.212832 + 0.236771i
\(713\) 27.8986 + 5.66290i 1.04481 + 0.212077i
\(714\) 6.82707 4.67850i 0.255497 0.175088i
\(715\) −3.73752 2.70120i −0.139775 0.101019i
\(716\) 52.0003 + 43.8804i 1.94334 + 1.63989i
\(717\) −6.64940 8.84579i −0.248326 0.330352i
\(718\) −6.15641 + 0.774604i −0.229755 + 0.0289080i
\(719\) 34.0453 + 19.7509i 1.26968 + 0.736583i 0.975675 0.219222i \(-0.0703520\pi\)
0.294000 + 0.955805i \(0.405013\pi\)
\(720\) 8.29462 + 2.12085i 0.309122 + 0.0790392i
\(721\) 8.51939 64.4514i 0.317279 2.40030i
\(722\) 119.084 + 5.96694i 4.43183 + 0.222066i
\(723\) −28.2954 + 12.4004i −1.05232 + 0.461175i
\(724\) 5.86793 + 0.813037i 0.218080 + 0.0302163i
\(725\) 7.60063 + 14.1002i 0.282280 + 0.523667i
\(726\) −9.05271 + 4.37951i −0.335978 + 0.162539i
\(727\) 5.35948 + 0.335843i 0.198772 + 0.0124557i 0.161616 0.986854i \(-0.448329\pi\)
0.0371563 + 0.999309i \(0.488170\pi\)
\(728\) −86.8391 171.225i −3.21847 6.34603i
\(729\) 3.36941 7.31182i 0.124793 0.270808i
\(730\) −4.99643 + 1.14510i −0.184926 + 0.0423822i
\(731\) 0.202369 0.269214i 0.00748488 0.00995724i
\(732\) 76.3300 133.491i 2.82124 4.93395i
\(733\) −10.9369 12.7974i −0.403965 0.472682i 0.520549 0.853832i \(-0.325727\pi\)
−0.924513 + 0.381150i \(0.875528\pi\)
\(734\) 39.5121 + 47.4226i 1.45842 + 1.75040i
\(735\) 2.70925 + 7.27011i 0.0999323 + 0.268162i
\(736\) 99.9759 + 1.25139i 3.68516 + 0.0461270i
\(737\) −9.98222 + 11.6803i −0.367700 + 0.430248i
\(738\) −7.18180 20.0347i −0.264366 0.737488i
\(739\) 26.7548 + 18.3347i 0.984191 + 0.674453i 0.945780 0.324809i \(-0.105300\pi\)
0.0384115 + 0.999262i \(0.487770\pi\)
\(740\) −0.729507 0.752698i −0.0268172 0.0276697i
\(741\) −81.7332 9.24612i −3.00254 0.339665i
\(742\) 0.919215 13.3319i 0.0337454 0.489429i
\(743\) 6.96163 + 10.0236i 0.255398 + 0.367731i 0.928194 0.372097i \(-0.121361\pi\)
−0.672796 + 0.739828i \(0.734907\pi\)
\(744\) 125.685 + 38.9328i 4.60783 + 1.42734i
\(745\) −4.05802 1.09188i −0.148674 0.0400034i
\(746\) −34.3278 + 15.5591i −1.25683 + 0.569659i
\(747\) 10.0592 3.53500i 0.368045 0.129339i
\(748\) 2.07991 5.58131i 0.0760491 0.204073i
\(749\) 3.48430 9.00385i 0.127314 0.328994i
\(750\) 11.5774 + 12.5598i 0.422748 + 0.458620i
\(751\) −3.76261 6.04199i −0.137300 0.220475i 0.773019 0.634382i \(-0.218746\pi\)
−0.910319 + 0.413907i \(0.864164\pi\)
\(752\) 67.9531 + 26.7865i 2.47799 + 0.976804i
\(753\) −1.33526 42.6588i −0.0486597 1.55457i
\(754\) −25.9165 + 31.9088i −0.943823 + 1.16205i
\(755\) 0.0369319 0.0454712i 0.00134409 0.00165487i
\(756\) −1.60220 51.1869i −0.0582715 1.86165i
\(757\) 20.1312 + 7.93556i 0.731682 + 0.288423i 0.703024 0.711166i \(-0.251833\pi\)
0.0286582 + 0.999589i \(0.490877\pi\)
\(758\) −38.2945 61.4932i −1.39092 2.23353i
\(759\) 24.8754 + 26.9861i 0.902918 + 0.979535i
\(760\) 7.57183 19.5665i 0.274659 0.709752i
\(761\) −8.54507 + 22.9301i −0.309759 + 0.831217i 0.684960 + 0.728580i \(0.259820\pi\)
−0.994719 + 0.102637i \(0.967272\pi\)
\(762\) −95.0348 + 33.3972i −3.44275 + 1.20985i
\(763\) −24.1387 + 10.9409i −0.873880 + 0.396087i
\(764\) 54.6028 + 14.6918i 1.97546 + 0.531532i
\(765\) −0.168576 0.0522189i −0.00609487 0.00188798i
\(766\) −35.7207 51.4320i −1.29064 1.85831i
\(767\) 3.24153 47.0137i 0.117045 1.69757i
\(768\) 96.2016 + 10.8829i 3.47138 + 0.392702i
\(769\) −20.0799 20.7182i −0.724098 0.747118i 0.251218 0.967931i \(-0.419169\pi\)
−0.975316 + 0.220813i \(0.929129\pi\)
\(770\) 9.87243 + 6.76544i 0.355778 + 0.243810i
\(771\) −10.3921 28.9904i −0.374262 1.04406i
\(772\) −12.4256 + 14.5393i −0.447208 + 0.523282i
\(773\) 30.3069 + 0.379351i 1.09007 + 0.0136443i 0.555526 0.831499i