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Reason-ModernColBERT is a late interaction model trained on the reasonir-hq dataset. It achieves extremely competitive performance on the BRIGHT benchmark aimed at evaluating reasoning-intensive retrieval performance, outperforming all existing models up to 7B (more than 45 times its size) and even surprisingly improving performance of ReasonIR-8B (a 8B model trained on the same data) by more than 2.5 NDCG@10 on average on Stack Exchange splits. We attribute such strong results to late-interaction, see evaluation section .
Unfortunately, since the ReasonIR data has been released under a cc-by-nc-4.0 license, we cannot release this model under an Apache 2.0 license. However, the authors of ReasonIR released code to generate the data . Anyone willing to reproduce the data could then easily reproduce this model under an Apache 2.0 license by running a fine-tuning lasting lower than 2 hours using this boilerplate .
This is a PyLate model finetuned from lightonai/GTE-ModernColBERT-v1 on the reasonir-hq dataset. It maps sentences & paragraphs to sequences of 128-dimensional dense vectors and can be used for semantic textual similarity using the MaxSim operator.
ColBERT(
(0): Transformer({'max_seq_length': 127, 'do_lower_case': False}) with Transformer model: ModernBertModel
(1): Dense({'in_features': 768, 'out_features': 128, 'bias': False, 'activation_function': 'torch.nn.modules.linear.Identity'})
)
First install the PyLate library:
pip install -U pylate
PyLate provides a streamlined interface to index and retrieve documents using ColBERT models. The index leverages the Voyager HNSW index to efficiently handle document embeddings and enable fast retrieval.
First, load the ColBERT model and initialize the Voyager index, then encode and index your documents:
from pylate import indexes, models, retrieve
# Step 1: Load the ColBERT model
model = models.ColBERT(
model_name_or_path=pylate_model_id,
)
# Step 2: Initialize the Voyager index
index = indexes.Voyager(
index_folder="pylate-index",
index_name="index",
override=True, # This overwrites the existing index if any
)
# Step 3: Encode the documents
documents_ids = ["1", "2", "3"]
documents = ["document 1 text", "document 2 text", "document 3 text"]
documents_embeddings = model.encode(
documents,
batch_size=32,
is_query=False, # Ensure that it is set to False to indicate that these are documents, not queries
show_progress_bar=True,
)
# Step 4: Add document embeddings to the index by providing embeddings and corresponding ids
index.add_documents(
documents_ids=documents_ids,
documents_embeddings=documents_embeddings,
)
Note that you do not have to recreate the index and encode the documents every time. Once you have created an index and added the documents, you can re-use the index later by loading it:
# To load an index, simply instantiate it with the correct folder/name and without overriding it
index = indexes.Voyager(
index_folder="pylate-index",
index_name="index",
)
Once the documents are indexed, you can retrieve the top-k most relevant documents for a given set of queries. To do so, initialize the ColBERT retriever with the index you want to search in, encode the queries and then retrieve the top-k documents to get the top matches ids and relevance scores:
# Step 1: Initialize the ColBERT retriever
retriever = retrieve.ColBERT(index=index)
# Step 2: Encode the queries
queries_embeddings = model.encode(
["query for document 3", "query for document 1"],
batch_size=32,
is_query=True, # # Ensure that it is set to False to indicate that these are queries
show_progress_bar=True,
)
# Step 3: Retrieve top-k documents
scores = retriever.retrieve(
queries_embeddings=queries_embeddings,
k=10, # Retrieve the top 10 matches for each query
)
If you only want to use the ColBERT model to perform reranking on top of your first-stage retrieval pipeline without building an index, you can simply use rank function and pass the queries and documents to rerank:
from pylate import rank, models
queries = [
"query A",
"query B",
]
documents = [
["document A", "document B"],
["document 1", "document C", "document B"],
]
documents_ids = [
[1, 2],
[1, 3, 2],
]
model = models.ColBERT(
model_name_or_path=pylate_model_id,
)
queries_embeddings = model.encode(
queries,
is_query=True,
)
documents_embeddings = model.encode(
documents,
is_query=False,
)
reranked_documents = rank.rerank(
documents_ids=documents_ids,
queries_embeddings=queries_embeddings,
documents_embeddings=documents_embeddings,
)
The BRIGHT benchmark is aimed at evaluating reasoning-intensive retrieval performance. Reason-ModernColBERT outperforms all existing models up to 7B (more than 45 times its size) and even surprisingly improving performance of ReasonIR-8B (a 8B model trained on the same data) by more than 2.5 NDCG@10 on average on Stack Exchange splits. We attribute such strong results to late-interaction compared to usual dense (single vector) retrieval performed by other models as highlighted in the next section.
| Model / Metric | Biology | Earth | Economics | Psychology | Robotics | Stackoverflow | Sustainable | Leetcode | Pony | AoPS | Theorem - Q | Theorem - T | Mean StackExchange | Mean coding | Mean theorem | Full mean |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| BM25 | 18.9 | 27.2 | 14.9 | 12.5 | 13.6 | 18.4 | 15 | 24.4 | 7.9 | 6.2 | 10.4 | 4.9 | 17.21 | 16.15 | 7.17 | 14.53 |
| < 1B OS | ||||||||||||||||
| BGE | 11.7 | 24.6 | 16.6 | 17.5 | 11.7 | 10.8 | 13.3 | 26.7 | 5.7 | 6 | 13 | 6.9 | 15.17 | 16.2 | 8.63 | 13.71 |
| Inst-L | 15.2 | 21.2 | 14.7 | 22.3 | 11.4 | 13.3 | 13.5 | 19.5 | 1.3 | 8.1 | 20.9 | 9.1 | 15.94 | 10.4 | 12.7 | 14.21 |
| SBERT | 15.1 | 20.4 | 16.6 | 22.7 | 8.2 | 11 | 15.3 | 26.4 | 7 | 5.3 | 20 | 10.8 | 15.61 | 16.7 | 12.03 | 14.9 |
| > 1B OS | ||||||||||||||||
| E5 | 18.6 | 26 | 15.5 | 15.8 | 16.3 | 11.2 | 18.1 | 28.7 | 4.9 | 7.1 | 26.1 | 26.8 | 17.36 | 16.8 | 20 | 17.93 |
| SFR | 19.1 | 26.7 | 17.8 | 19 | 16.3 | 14.4 | 19.2 | 27.4 | 2 | 7.4 | 24.3 | 26 | 18.93 | 14.7 | 19.23 | 18.3 |
| Inst-XL | 21.6 | 34.3 | 22.4 | 27.4 | 18.2 | 21.2 | 19.1 | 27.5 | 5 | 8.5 | 15.6 | 5.9 | 23.46 | 16.25 | 10 | 18.89 |
| GritLM | 24.8 | 32.3 | 18.9 | 19.8 | 17.1 | 13.6 | 17.8 | 29.9 | 22 | 8.8 | 25.2 | 21.2 | 20.61 | 25.95 | 18.4 | 20.95 |
| Qwen | 30.6 | 36.4 | 17.8 | 24.6 | 13.2 | 22.2 | 14.8 | 25.5 | 9.9 | 14.4 | 27.8 | 32.9 | 22.8 | 17.7 | 25.03 | 22.51 |
| Proprietary | ||||||||||||||||
| Cohere | 18.7 | 28.4 | 20.4 | 21.6 | 16.3 | 18.3 | 17.6 | 26.8 | 1.9 | 6.3 | 15.7 | 7.2 | 20.19 | 14.35 | 9.73 | 16.6 |
| OpenAI | 23.3 | 26.7 | 19.5 | 27.6 | 12.8 | 14.3 | 20.5 | 23.6 | 2.4 | 8.5 | 23.5 | 11.7 | 20.67 | 13 | 14.57 | 17.87 |
| Voyage | 23.1 | 25.4 | 19.9 | 24.9 | 10.8 | 16.8 | 15.4 | 30.6 | 1.5 | 7.5 | 27.4 | 11.6 | 19.47 | 16.05 | 15.5 | 17.91 |
| 22.7 | 34.8 | 19.6 | 27.8 | 15.7 | 20.1 | 17.1 | 29.6 | 3.6 | 9.3 | 23.8 | 15.9 | 22.54 | 16.6 | 16.33 | 20 | |
| ReasonIR data | ||||||||||||||||
| ReasonIR-8B | 26.2 | 31.4 | 23.3 | 30 | 18 | 23.9 | 20.5 | 35 | 10.5 | 14.7 | 31.9 | 27.2 | 24.76 | 22.75 | 24.6 | 24.38 |
| Reason-ModernColBERT (150M) | 33.25 | 41.02 | 24.93 | 30.73 | 21.12 | 20.62 | 20.31 | 31.07 | 8.51 | 9.17 | 19.51 | 11.24 | 27.43 | 19.79 | 15.38 | 22.62 |
A fair claim would be that the performance of Reason-ModernColBERT are mostly due to the ReasonIR data . Although the differences between ReasonIR-8B and Reason-ModernColBERT already hint that it is most likely more than just that, we conducted a small experiment by training a dense (single vector) model in the same setup using Sentence Transformers as a multi-vector one trained using PyLate. This experiment highlights a very large gap in performance. Obviously, more rigourous experiments are required to draw conclusion (e.g, both models could have been further tuned and the training could have been enhanced (e.g, we did not gather negatives from other GPUs in these experiments because ST do not supports it for now)) but the gap seems really big and it does correlate pretty well with Reason-ModernColBERT being competitive with ReasonIR-8B while being more than 50 times smaller.
| Model/Split | Biology | Earth | Economics | Psychology | Robotics | Stackoverflow | Sustainable | Leetcode | Pony | AoPS | Theorem Q | Theorem T | Mean StackExchange | Mean coding | Mean theorem | Full mean |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dense (single vector) model | 7.51 | 16.92 | 13.43 | 17.18 | 10.23 | 8.93 | 8.85 | 24.88 | 1.43 | 9.81 | 18.83 | 9.71 | 11.86 | 13.16 | 12.78 | 12.31 |
| Late-interaction (multi vector model) | 28.02 | 39.25 | 21.51 | 27.05 | 19.86 | 17.23 | 21.1 | 27.37 | 3.76 | 6.87 | 16.06 | 7.21 | 24.86 | 15.57 | 10.05 | 19.61 |
Although those models are able to do some reasoning-intensive matching, it has been shown that they greatly benefits from using the reasoning trace/query reformulation from a LLM such as GPT4. Here is the results of Reason-ModernColBERT on this setup:
| Model | Biology | Earth | Economics | Psychology | Robotics | Stackoverflow | Sustainable | Leetcode | Pony | AoPS | Theorem Q | Theorem T | Moyenne Stack | Mean Code | Mean Theorem | Full mean |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| BM25 | 53.6 | 53.6 | 24.3 | 38.6 | 18.8 | 22.7 | 25.9 | 19.3 | 17.7 | 3.9 | 20.2 | 18.9 | 33.93 | 18.5 | 19.55 | 26.46 |
| Contriever | 37.5 | 40.5 | 22.6 | 27.1 | 15.2 | 22.6 | 19.6 | 22.5 | 13.8 | 8.1 | 24.1 | 16.2 | 26.44 | 18.15 | 20.15 | 22.48 |
| GritLM-7B | 33.2 | 33 | 23.3 | 30.6 | 15.2 | 17.5 | 21.7 | 33.2 | 11.7 | 6.8 | 26.9 | 28 | 24.93 | 22.45 | 27.45 | 23.425 |
| RankLLaMA-7B (top-100) | 17.5 | 15.5 | 13.1 | 13.6 | 17.9 | 6.9 | 16.9 | 8.4 | 46.8 | 2.2 | 4.5 | 3.5 | 14.49 | 27.6 | 4 | 13.9 |
| Rank1-7B (top-100) | 48.8 | 36.7 | 20.8 | 35 | 22 | 18.7 | 36.2 | 12.7 | 31.2 | 6.3 | 23.7 | 37.8 | 31.17 | 21.95 | 30.75 | 27.49 |
| Rank1-32B (top-100) | 49.7 | 35.8 | 22 | 37.5 | 22.5 | 21.7 | 35 | 18.8 | 32.5 | 10.8 | 22.9 | 43.7 | 32.03 | 25.65 | 33.3 | 29.41 |
| ReasonIR-8B | 43.6 | 42.9 | 32.7 | 38.8 | 20.9 | 25.8 | 27.5 | 31.5 | 19.6 | 7.4 | 33.1 | 35.7 | 33.17 | 25.55 | 34.4 | 29.96 |
| Reason-ModernColBERT | 61.54 | 56.79 | 26.2 | 43.79 | 20.76 | 31.61 | 29.12 | 27.46 | 8.31 | 8.26 | 26.46 | 23.07 | 38.54 | 17.885 | 24.765 | 30.28 |
As highlighted by these results, Reason-ModernColBERT benefits greatly from using those traces (+7.66 NDCG@10 in average) even more than ReasonIR-8B (+5.58). It thus reaches top-1 by closing the gap and outperforms it on this setup, as well as outperforming methods based on reranking with 7B models. However, it should be noted that these experiments also highlighted that Reason-ModernColBERT does not scale very well to very large queries (while ColBERT models are known to generalize very well to large documents), most probably due to the assymetric nature of the MaxSim operator. This prevent the model from leveraging the full query rewriting and reasoning trace from the LLM. Training the model on longer and more diverse lengths of queries, such as in the VL split of the ReasonIR data is a promising avenue to better leverage these extensive queries/reasoning trace.
In an effort of transparency, please note that, contrary to the main results that have been evaluated with mostly the same query length (except Pony), those results have been obtained by sweeping over query lengths, here are the query lengths used for each split:
| Query | Biology | Earth | Economics | Psychology | Robotics | Stackoverflow | Sustainable | Leetcode | Pony | AoPS | Theorem Q | Theorem T |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Query length | 256 | 1024 | 128 | 128 | 256 | 256 | 128 | 128 | 128 | 256 | 256 | 128 |
query
,
pos
, and
neg
| query | pos | neg | |
|---|---|---|---|
| type | string | string | string |
| details |
|
|
|
| query | pos | neg |
|---|---|---|
Given this reasoning-intensive query, find relevant documents that could help answer the question. A researcher is analyzing a sound signal represented by the equation f(t) = 2sin(3πt) + sin(5πt) + 0.5sin(7πt). Using the Fourier transform, what are the frequencies, amplitudes, and phases of the individual sinusoidal components in the signal?
|
A sound signal is given by the equation f(t) = sin(2πt) + sin(4πt) + sin(6πt) where t is time in seconds. Use Fourier transform to find the frequencies, amplitudes, and phases of the individual sinusoidal components in the signal.
|
The Fourier transform is widely used in various fields, including engineering, physics, and data analysis. It is a powerful tool for decomposing a signal into its constituent frequencies. In music, for example, the Fourier transform can be used to analyze the frequency components of a sound wave. By applying the Fourier transform to a sound signal, one can identify the different frequencies present in the signal, as well as their relative amplitudes. This information can be useful in a variety of applications, such as sound filtering and audio processing. The Fourier transform can also be used to analyze images and other types of data. In image processing, the Fourier transform can be used to filter out noise and other unwanted features from an image. It can also be used to compress images by representing them in the frequency domain. In addition to its many practical applications, the Fourier transform also has a number of interesting theoretical properties. For example, it has been ...
|
Given this reasoning-intensive query, find relevant documents that could help answer the question. A manufacturer is designing a cone-shaped container with a fixed volume of 200π cubic centimeters. The container's height is 12 centimeters, and the radius of the base is unknown. If the manufacturer wants to minimize the surface area of the container while maintaining its volume, what should be the radius of the base?
|
A right circular cone has a radius of 6cm and a slant height of 10cm. Determine the surface area of the cone.
|
Torus-Shaped Containers in Chemical Engineering - New Designs and ApplicationsTorus-shaped containers are commonly used in chemical engineering for storing and transporting fluids. These containers have a distinctive doughnut shape, with a central hole and a circular cross-section. In this article, we will explore the design and applications of torus-shaped containers in chemical engineering.One of the main advantages of torus-shaped containers is their high volume-to-surface-area ratio. This makes them ideal for storing large quantities of fluids while minimizing the amount of material needed for construction. Additionally, the curved shape of the container provides added strength and stability, making it less prone to rupture or leakage.The design of torus-shaped containers typically involves the use of computer-aided design (CAD) software to create detailed models of the container's geometry. Engineers can then use these models to simulate various scenarios, such as fluid flow and ...
|
Given this reasoning-intensive query, find relevant documents that could help answer the question. On the xy-coordinate plane, points A and B are given as A(2, 4) and B(8, -3). Determine the coordinates of the point on line segment AB that is three times as far from A as it is from B.
|
On the xy co-ordinate plane, point C is (5,-2) and point D is (-1,1.5). The point on line segment CD that is twice as far from C as from D is:
|
(x-coordinate ofC - (x-coordinate ofD |
pylate.losses.cached_contrastive.CachedContrastive
per_device_train_batch_size
: 256
per_device_eval_batch_size
: 256
learning_rate
: 1e-05
bf16
: True
dataloader_num_workers
: 8
overwrite_output_dir
: False
do_predict
: False
eval_strategy
: no
prediction_loss_only
: True
per_device_train_batch_size
: 256
per_device_eval_batch_size
: 256
per_gpu_train_batch_size
: None
per_gpu_eval_batch_size
: None
gradient_accumulation_steps
: 1
eval_accumulation_steps
: None
torch_empty_cache_steps
: None
learning_rate
: 1e-05
weight_decay
: 0.0
adam_beta1
: 0.9
adam_beta2
: 0.999
adam_epsilon
: 1e-08
max_grad_norm
: 1.0
num_train_epochs
: 3
max_steps
: -1
lr_scheduler_type
: linear
lr_scheduler_kwargs
: {}
warmup_ratio
: 0.0
warmup_steps
: 0
log_level
: passive
log_level_replica
: warning
log_on_each_node
: True
logging_nan_inf_filter
: True
save_safetensors
: True
save_on_each_node
: False
save_only_model
: False
restore_callback_states_from_checkpoint
: False
no_cuda
: False
use_cpu
: False
use_mps_device
: False
seed
: 42
data_seed
: None
jit_mode_eval
: False
use_ipex
: False
bf16
: True
fp16
: False
fp16_opt_level
: O1
half_precision_backend
: auto
bf16_full_eval
: False
fp16_full_eval
: False
tf32
: None
local_rank
: 0
ddp_backend
: None
tpu_num_cores
: None
tpu_metrics_debug
: False
debug
: []
dataloader_drop_last
: False
dataloader_num_workers
: 8
dataloader_prefetch_factor
: None
past_index
: -1
disable_tqdm
: False
remove_unused_columns
: True
label_names
: None
load_best_model_at_end
: False
ignore_data_skip
: False
fsdp
: []
fsdp_min_num_params
: 0
fsdp_config
: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}
fsdp_transformer_layer_cls_to_wrap
: None
accelerator_config
: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}
deepspeed
: None
label_smoothing_factor
: 0.0
optim
: adamw_torch
optim_args
: None
adafactor
: False
group_by_length
: False
length_column_name
: length
ddp_find_unused_parameters
: None
ddp_bucket_cap_mb
: None
ddp_broadcast_buffers
: False
dataloader_pin_memory
: True
dataloader_persistent_workers
: False
skip_memory_metrics
: True
use_legacy_prediction_loop
: False
push_to_hub
: False
resume_from_checkpoint
: None
hub_model_id
: None
hub_strategy
: every_save
hub_private_repo
: None
hub_always_push
: False
gradient_checkpointing
: False
gradient_checkpointing_kwargs
: None
include_inputs_for_metrics
: False
include_for_metrics
: []
eval_do_concat_batches
: True
fp16_backend
: auto
push_to_hub_model_id
: None
push_to_hub_organization
: None
mp_parameters
:
auto_find_batch_size
: False
full_determinism
: False
torchdynamo
: None
ray_scope
: last
ddp_timeout
: 1800
torch_compile
: False
torch_compile_backend
: None
torch_compile_mode
: None
dispatch_batches
: None
split_batches
: None
include_tokens_per_second
: False
include_num_input_tokens_seen
: False
neftune_noise_alpha
: None
optim_target_modules
: None
batch_eval_metrics
: False
eval_on_start
: False
use_liger_kernel
: False
eval_use_gather_object
: False
average_tokens_across_devices
: False
prompts
: None
batch_sampler
: batch_sampler
multi_dataset_batch_sampler
: proportional
| Epoch | Step | Training Loss |
|---|---|---|
| 0.0025 | 1 | 4.9684 |
| 0.0051 | 2 | 4.6956 |
| 0.0076 | 3 | 4.5076 |
| 0.0102 | 4 | 4.3723 |
| 0.0127 | 5 | 4.3305 |
| 0.0153 | 6 | 4.0355 |
| 0.0178 | 7 | 3.7886 |
| 0.0204 | 8 | 3.6133 |
| 0.0229 | 9 | 3.2395 |
| 0.0254 | 10 | 3.1481 |
| 0.0280 | 11 | 2.7444 |
| 0.0305 | 12 | 2.4946 |
| 0.0331 | 13 | 2.333 |
| 0.0356 | 14 | 2.2471 |
| 0.0382 | 15 | 1.9117 |
| 0.0407 | 16 | 1.6753 |
| 0.0433 | 17 | 1.2413 |
| 0.0458 | 18 | 1.1201 |
| 0.0483 | 19 | 1.0335 |
| 0.0509 | 20 | 1.0583 |
| 0.0534 | 21 | 1.067 |
| 0.0560 | 22 | 0.7056 |
| 0.0585 | 23 | 0.761 |
| 0.0611 | 24 | 0.5501 |
| 0.0636 | 25 | 0.6486 |
| 0.0662 | 26 | 0.4639 |
| 0.0687 | 27 | 0.3885 |
| 0.0712 | 28 | 0.4982 |
| 0.0738 | 29 | 0.4784 |
| 0.0763 | 30 | 0.5189 |
| 0.0789 | 31 | 0.4824 |
| 0.0814 | 32 | 0.4183 |
| 0.0840 | 33 | 0.4945 |
| 0.0865 | 34 | 0.2579 |
| 0.0891 | 35 | 0.3312 |
| 0.0916 | 36 | 0.4035 |
| 0.0941 | 37 | 0.305 |
| 0.0967 | 38 | 0.2898 |
| 0.0992 | 39 | 0.2899 |
| 0.1018 | 40 | 0.2713 |
| 0.1043 | 41 | 0.3017 |
| 0.1069 | 42 | 0.2395 |
| 0.1094 | 43 | 0.1548 |
| 0.1120 | 44 | 0.2468 |
| 0.1145 | 45 | 0.1876 |
| 0.1170 | 46 | 0.2322 |
| 0.1196 | 47 | 0.2823 |
| 0.1221 | 48 | 0.2158 |
| 0.1247 | 49 | 0.2679 |
| 0.1272 | 50 | 0.273 |
| 0.1298 | 51 | 0.2876 |
| 0.1323 | 52 | 0.197 |
| 0.1349 | 53 | 0.1282 |
| 0.1374 | 54 | 0.3355 |
| 0.1399 | 55 | 0.1941 |
| 0.1425 | 56 | 0.1873 |
| 0.1450 | 57 | 0.2288 |
| 0.1476 | 58 | 0.2802 |
| 0.1501 | 59 | 0.2087 |
| 0.1527 | 60 | 0.2239 |
| 0.1552 | 61 | 0.225 |
| 0.1578 | 62 | 0.1582 |
| 0.1603 | 63 | 0.1972 |
| 0.1628 | 64 | 0.1632 |
| 0.1654 | 65 | 0.2101 |
| 0.1679 | 66 | 0.2084 |
| 0.1705 | 67 | 0.1499 |
| 0.1730 | 68 | 0.1467 |
| 0.1756 | 69 | 0.1428 |
| 0.1781 | 70 | 0.2298 |
| 0.1807 | 71 | 0.1883 |
| 0.1832 | 72 | 0.22 |
| 0.1858 | 73 | 0.1988 |
| 0.1883 | 74 | 0.2091 |
| 0.1908 | 75 | 0.1948 |
| 0.1934 | 76 | 0.1348 |
| 0.1959 | 77 | 0.112 |
| 0.1985 | 78 | 0.1474 |
| 0.2010 | 79 | 0.1949 |
| 0.2036 | 80 | 0.1664 |
| 0.2061 | 81 | 0.1807 |
| 0.2087 | 82 | 0.1403 |
| 0.2112 | 83 | 0.1225 |
| 0.2137 | 84 | 0.1919 |
| 0.2163 | 85 | 0.1403 |
| 0.2188 | 86 | 0.1402 |
| 0.2214 | 87 | 0.0981 |
| 0.2239 | 88 | 0.1214 |
| 0.2265 | 89 | 0.1755 |
| 0.2290 | 90 | 0.1509 |
| 0.2316 | 91 | 0.1551 |
| 0.2341 | 92 | 0.176 |
| 0.2366 | 93 | 0.1648 |
| 0.2392 | 94 | 0.1622 |
| 0.2417 | 95 | 0.1372 |
| 0.2443 | 96 | 0.1016 |
| 0.2468 | 97 | 0.1134 |
| 0.2494 | 98 | 0.1436 |
| 0.2519 | 99 | 0.1478 |
| 0.2545 | 100 | 0.2065 |
| 0.2570 | 101 | 0.1901 |
| 0.2595 | 102 | 0.1859 |
| 0.2621 | 103 | 0.212 |
| 0.2646 | 104 | 0.2179 |
| 0.2672 | 105 | 0.2471 |
| 0.2697 | 106 | 0.1769 |
| 0.2723 | 107 | 0.1593 |
| 0.2748 | 108 | 0.204 |
| 0.2774 | 109 | 0.1496 |
| 0.2799 | 110 | 0.1212 |
| 0.2824 | 111 | 0.1282 |
| 0.2850 | 112 | 0.1126 |
| 0.2875 | 113 | 0.1254 |
| 0.2901 | 114 | 0.1422 |
| 0.2926 | 115 | 0.1266 |
| 0.2952 | 116 | 0.1305 |
| 0.2977 | 117 | 0.1283 |
| 0.3003 | 118 | 0.0737 |
| 0.3028 | 119 | 0.1237 |
| 0.3053 | 120 | 0.1185 |
| 0.3079 | 121 | 0.0891 |
| 0.3104 | 122 | 0.2312 |
| 0.3130 | 123 | 0.2384 |
| 0.3155 | 124 | 0.155 |
| 0.3181 | 125 | 0.1118 |
| 0.3206 | 126 | 0.1575 |
| 0.3232 | 127 | 0.2115 |
| 0.3257 | 128 | 0.098 |
| 0.3282 | 129 | 0.1811 |
| 0.3308 | 130 | 0.1704 |
| 0.3333 | 131 | 0.1494 |
| 0.3359 | 132 | 0.1531 |
| 0.3384 | 133 | 0.1032 |
| 0.3410 | 134 | 0.1137 |
| 0.3435 | 135 | 0.1271 |
| 0.3461 | 136 | 0.1591 |
| 0.3486 | 137 | 0.1586 |
| 0.3511 | 138 | 0.1292 |
| 0.3537 | 139 | 0.1115 |
| 0.3562 | 140 | 0.1337 |
| 0.3588 | 141 | 0.1298 |
| 0.3613 | 142 | 0.1649 |
| 0.3639 | 143 | 0.0855 |
| 0.3664 | 144 | 0.1124 |
| 0.3690 | 145 | 0.0764 |
| 0.3715 | 146 | 0.1402 |
| 0.3740 | 147 | 0.137 |
| 0.3766 | 148 | 0.0736 |
| 0.3791 | 149 | 0.0772 |
| 0.3817 | 150 | 0.1689 |
| 0.3842 | 151 | 0.1371 |
| 0.3868 | 152 | 0.1195 |
| 0.3893 | 153 | 0.1536 |
| 0.3919 | 154 | 0.1421 |
| 0.3944 | 155 | 0.1222 |
| 0.3969 | 156 | 0.1121 |
| 0.3995 | 157 | 0.0892 |
| 0.4020 | 158 | 0.1516 |
| 0.4046 | 159 | 0.1071 |
| 0.4071 | 160 | 0.1593 |
| 0.4097 | 161 | 0.1078 |
| 0.4122 | 162 | 0.1112 |
| 0.4148 | 163 | 0.2101 |
| 0.4173 | 164 | 0.2096 |
| 0.4198 | 165 | 0.1337 |
| 0.4224 | 166 | 0.1501 |
| 0.4249 | 167 | 0.0989 |
| 0.4275 | 168 | 0.0992 |
| 0.4300 | 169 | 0.0926 |
| 0.4326 | 170 | 0.0692 |
| 0.4351 | 171 | 0.1235 |
| 0.4377 | 172 | 0.1029 |
| 0.4402 | 173 | 0.1351 |
| 0.4427 | 174 | 0.0899 |
| 0.4453 | 175 | 0.0844 |
| 0.4478 | 176 | 0.1167 |
| 0.4504 | 177 | 0.1355 |
| 0.4529 | 178 | 0.092 |
| 0.4555 | 179 | 0.1005 |
| 0.4580 | 180 | 0.0891 |
| 0.4606 | 181 | 0.1396 |
| 0.4631 | 182 | 0.1024 |
| 0.4656 | 183 | 0.1325 |
| 0.4682 | 184 | 0.1061 |
| 0.4707 | 185 | 0.1657 |
| 0.4733 | 186 | 0.1141 |
| 0.4758 | 187 | 0.149 |
| 0.4784 | 188 | 0.1125 |
| 0.4809 | 189 | 0.1524 |
| 0.4835 | 190 | 0.1129 |
| 0.4860 | 191 | 0.1089 |
| 0.4885 | 192 | 0.1333 |
| 0.4911 | 193 | 0.1377 |
| 0.4936 | 194 | 0.0547 |
| 0.4962 | 195 | 0.1057 |
| 0.4987 | 196 | 0.1321 |
| 0.5013 | 197 | 0.0979 |
| 0.5038 | 198 | 0.1706 |
| 0.5064 | 199 | 0.1559 |
| 0.5089 | 200 | 0.1111 |
| 0.5115 | 201 | 0.1258 |
| 0.5140 | 202 | 0.0816 |
| 0.5165 | 203 | 0.1362 |
| 0.5191 | 204 | 0.1604 |
| 0.5216 | 205 | 0.1104 |
| 0.5242 | 206 | 0.1494 |
| 0.5267 | 207 | 0.1402 |
| 0.5293 | 208 | 0.1282 |
| 0.5318 | 209 | 0.1543 |
| 0.5344 | 210 | 0.1576 |
| 0.5369 | 211 | 0.2071 |
| 0.5394 | 212 | 0.1248 |
| 0.5420 | 213 | 0.1237 |
| 0.5445 | 214 | 0.0592 |
| 0.5471 | 215 | 0.1769 |
| 0.5496 | 216 | 0.1118 |
| 0.5522 | 217 | 0.1608 |
| 0.5547 | 218 | 0.1192 |
| 0.5573 | 219 | 0.0551 |
| 0.5598 | 220 | 0.1401 |
| 0.5623 | 221 | 0.2046 |
| 0.5649 | 222 | 0.1273 |
| 0.5674 | 223 | 0.1319 |
| 0.5700 | 224 | 0.1518 |
| 0.5725 | 225 | 0.0929 |
| 0.5751 | 226 | 0.1262 |
| 0.5776 | 227 | 0.1566 |
| 0.5802 | 228 | 0.1128 |
| 0.5827 | 229 | 0.1467 |
| 0.5852 | 230 | 0.1513 |
| 0.5878 | 231 | 0.1989 |
| 0.5903 | 232 | 0.0594 |
| 0.5929 | 233 | 0.0838 |
| 0.5954 | 234 | 0.0711 |
| 0.5980 | 235 | 0.0854 |
| 0.6005 | 236 | 0.1775 |
| 0.6031 | 237 | 0.118 |
| 0.6056 | 238 | 0.1297 |
| 0.6081 | 239 | 0.1092 |
| 0.6107 | 240 | 0.1469 |
| 0.6132 | 241 | 0.1203 |
| 0.6158 | 242 | 0.0901 |
| 0.6183 | 243 | 0.1179 |
| 0.6209 | 244 | 0.0864 |
| 0.6234 | 245 | 0.1277 |
| 0.6260 | 246 | 0.1313 |
| 0.6285 | 247 | 0.089 |
| 0.6310 | 248 | 0.0727 |
| 0.6336 | 249 | 0.0556 |
| 0.6361 | 250 | 0.0782 |
| 0.6387 | 251 | 0.0869 |
| 0.6412 | 252 | 0.0988 |
| 0.6438 | 253 | 0.0818 |
| 0.6463 | 254 | 0.1013 |
| 0.6489 | 255 | 0.096 |
| 0.6514 | 256 | 0.0622 |
| 0.6539 | 257 | 0.1561 |
| 0.6565 | 258 | 0.1282 |
| 0.6590 | 259 | 0.1087 |
| 0.6616 | 260 | 0.1312 |
| 0.6641 | 261 | 0.1343 |
| 0.6667 | 262 | 0.0955 |
| 0.6692 | 263 | 0.0844 |
| 0.6718 | 264 | 0.1209 |
| 0.6743 | 265 | 0.0858 |
| 0.6768 | 266 | 0.0714 |
| 0.6794 | 267 | 0.1431 |
| 0.6819 | 268 | 0.0632 |
| 0.6845 | 269 | 0.115 |
| 0.6870 | 270 | 0.1115 |
| 0.6896 | 271 | 0.1239 |
| 0.6921 | 272 | 0.1206 |
| 0.6947 | 273 | 0.1894 |
| 0.6972 | 274 | 0.0755 |
| 0.6997 | 275 | 0.0709 |
| 0.7023 | 276 | 0.1304 |
| 0.7048 | 277 | 0.1476 |
| 0.7074 | 278 | 0.1497 |
| 0.7099 | 279 | 0.113 |
| 0.7125 | 280 | 0.1676 |
| 0.7150 | 281 | 0.0999 |
| 0.7176 | 282 | 0.2044 |
| 0.7201 | 283 | 0.1125 |
| 0.7226 | 284 | 0.0956 |
| 0.7252 | 285 | 0.0956 |
| 0.7277 | 286 | 0.0771 |
| 0.7303 | 287 | 0.0712 |
| 0.7328 | 288 | 0.0525 |
| 0.7354 | 289 | 0.0689 |
| 0.7379 | 290 | 0.0964 |
| 0.7405 | 291 | 0.1068 |
| 0.7430 | 292 | 0.0536 |
| 0.7455 | 293 | 0.0861 |
| 0.7481 | 294 | 0.0813 |
| 0.7506 | 295 | 0.0885 |
| 0.7532 | 296 | 0.1083 |
| 0.7557 | 297 | 0.1124 |
| 0.7583 | 298 | 0.1095 |
| 0.7608 | 299 | 0.08 |
| 0.7634 | 300 | 0.1081 |
| 0.7659 | 301 | 0.0719 |
| 0.7684 | 302 | 0.0933 |
| 0.7710 | 303 | 0.1143 |
| 0.7735 | 304 | 0.065 |
| 0.7761 | 305 | 0.1276 |
| 0.7786 | 306 | 0.102 |
| 0.7812 | 307 | 0.186 |
| 0.7837 | 308 | 0.0778 |
| 0.7863 | 309 | 0.1419 |
| 0.7888 | 310 | 0.0895 |
| 0.7913 | 311 | 0.1154 |
| 0.7939 | 312 | 0.1037 |
| 0.7964 | 313 | 0.0711 |
| 0.7990 | 314 | 0.1559 |
| 0.8015 | 315 | 0.0755 |
| 0.8041 | 316 | 0.0799 |
| 0.8066 | 317 | 0.1137 |
| 0.8092 | 318 | 0.0837 |
| 0.8117 | 319 | 0.1052 |
| 0.8142 | 320 | 0.0846 |
| 0.8168 | 321 | 0.0715 |
| 0.8193 | 322 | 0.0923 |
| 0.8219 | 323 | 0.1397 |
| 0.8244 | 324 | 0.0899 |
| 0.8270 | 325 | 0.1414 |
| 0.8295 | 326 | 0.0422 |
| 0.8321 | 327 | 0.0748 |
| 0.8346 | 328 | 0.0739 |
| 0.8372 | 329 | 0.0855 |
| 0.8397 | 330 | 0.071 |
| 0.8422 | 331 | 0.0557 |
| 0.8448 | 332 | 0.1055 |
| 0.8473 | 333 | 0.096 |
| 0.8499 | 334 | 0.1083 |
| 0.8524 | 335 | 0.133 |
| 0.8550 | 336 | 0.1308 |
| 0.8575 | 337 | 0.0661 |
| 0.8601 | 338 | 0.0974 |
| 0.8626 | 339 | 0.1027 |
| 0.8651 | 340 | 0.1068 |
| 0.8677 | 341 | 0.1653 |
| 0.8702 | 342 | 0.097 |
| 0.8728 | 343 | 0.0845 |
| 0.8753 | 344 | 0.0546 |
| 0.8779 | 345 | 0.1273 |
| 0.8804 | 346 | 0.0982 |
| 0.8830 | 347 | 0.0893 |
| 0.8855 | 348 | 0.1222 |
| 0.8880 | 349 | 0.1072 |
| 0.8906 | 350 | 0.1254 |
| 0.8931 | 351 | 0.0679 |
| 0.8957 | 352 | 0.0995 |
| 0.8982 | 353 | 0.0878 |
| 0.9008 | 354 | 0.0564 |
| 0.9033 | 355 | 0.113 |
| 0.9059 | 356 | 0.0567 |
| 0.9084 | 357 | 0.0968 |
| 0.9109 | 358 | 0.1023 |
| 0.9135 | 359 | 0.1106 |
| 0.9160 | 360 | 0.091 |
| 0.9186 | 361 | 0.0988 |
| 0.9211 | 362 | 0.1374 |
| 0.9237 | 363 | 0.0855 |
| 0.9262 | 364 | 0.0824 |
| 0.9288 | 365 | 0.058 |
| 0.9313 | 366 | 0.0776 |
| 0.9338 | 367 | 0.1195 |
| 0.9364 | 368 | 0.0506 |
| 0.9389 | 369 | 0.0893 |
| 0.9415 | 370 | 0.1145 |
| 0.9440 | 371 | 0.0695 |
| 0.9466 | 372 | 0.0805 |
| 0.9491 | 373 | 0.0824 |
| 0.9517 | 374 | 0.0841 |
| 0.9542 | 375 | 0.0919 |
| 0.9567 | 376 | 0.064 |
| 0.9593 | 377 | 0.2194 |
| 0.9618 | 378 | 0.1165 |
| 0.9644 | 379 | 0.0888 |
| 0.9669 | 380 | 0.0826 |
| 0.9695 | 381 | 0.0687 |
| 0.9720 | 382 | 0.0933 |
| 0.9746 | 383 | 0.1337 |
| 0.9771 | 384 | 0.0738 |
| 0.9796 | 385 | 0.0749 |
| 0.9822 | 386 | 0.0742 |
| 0.9847 | 387 | 0.1111 |
| 0.9873 | 388 | 0.093 |
| 0.9898 | 389 | 0.0877 |
| 0.9924 | 390 | 0.0637 |
| 0.9949 | 391 | 0.0897 |
| 0.9975 | 392 | 0.0818 |
| 1.0 | 393 | 0.0362 |
| 1.0025 | 394 | 0.0561 |
| 1.0051 | 395 | 0.0847 |
| 1.0076 | 396 | 0.0752 |
| 1.0102 | 397 | 0.0951 |
| 1.0127 | 398 | 0.1069 |
| 1.0153 | 399 | 0.0553 |
| 1.0178 | 400 | 0.0929 |
| 1.0204 | 401 | 0.0876 |
| 1.0229 | 402 | 0.0381 |
| 1.0254 | 403 | 0.1074 |
| 1.0280 | 404 | 0.0763 |
| 1.0305 | 405 | 0.0881 |
| 1.0331 | 406 | 0.0481 |
| 1.0356 | 407 | 0.1398 |
| 1.0382 | 408 | 0.09 |
| 1.0407 | 409 | 0.1045 |
| 1.0433 | 410 | 0.088 |
| 1.0458 | 411 | 0.0751 |
| 1.0483 | 412 | 0.0781 |
| 1.0509 | 413 | 0.0844 |
| 1.0534 | 414 | 0.0949 |
| 1.0560 | 415 | 0.0467 |
| 1.0585 | 416 | 0.1159 |
| 1.0611 | 417 | 0.0511 |
| 1.0636 | 418 | 0.0659 |
| 1.0662 | 419 | 0.043 |
| 1.0687 | 420 | 0.0468 |
| 1.0712 | 421 | 0.068 |
| 1.0738 | 422 | 0.1022 |
| 1.0763 | 423 | 0.1096 |
| 1.0789 | 424 | 0.1113 |
| 1.0814 | 425 | 0.1219 |
| 1.0840 | 426 | 0.0852 |
| 1.0865 | 427 | 0.0413 |
| 1.0891 | 428 | 0.0797 |
| 1.0916 | 429 | 0.1048 |
| 1.0941 | 430 | 0.0494 |
| 1.0967 | 431 | 0.079 |
| 1.0992 | 432 | 0.0698 |
| 1.1018 | 433 | 0.0908 |
| 1.1043 | 434 | 0.0993 |
| 1.1069 | 435 | 0.0397 |
| 1.1094 | 436 | 0.0312 |
| 1.1120 | 437 | 0.089 |
| 1.1145 | 438 | 0.0318 |
| 1.1170 | 439 | 0.0356 |
| 1.1196 | 440 | 0.0588 |
| 1.1221 | 441 | 0.0311 |
| 1.1247 | 442 | 0.0578 |
| 1.1272 | 443 | 0.1313 |
| 1.1298 | 444 | 0.0897 |
| 1.1323 | 445 | 0.0798 |
| 1.1349 | 446 | 0.0326 |
| 1.1374 | 447 | 0.143 |
| 1.1399 | 448 | 0.0661 |
| 1.1425 | 449 | 0.0433 |
| 1.1450 | 450 | 0.0782 |
| 1.1476 | 451 | 0.08 |
| 1.1501 | 452 | 0.0505 |
| 1.1527 | 453 | 0.0542 |
| 1.1552 | 454 | 0.0755 |
| 1.1578 | 455 | 0.0315 |
| 1.1603 | 456 | 0.0667 |
| 1.1628 | 457 | 0.0329 |
| 1.1654 | 458 | 0.0791 |
| 1.1679 | 459 | 0.0698 |
| 1.1705 | 460 | 0.0194 |
| 1.1730 | 461 | 0.0501 |
| 1.1756 | 462 | 0.0449 |
| 1.1781 | 463 | 0.0903 |
| 1.1807 | 464 | 0.0503 |
| 1.1832 | 465 | 0.0664 |
| 1.1858 | 466 | 0.0457 |
| 1.1883 | 467 | 0.0568 |
| 1.1908 | 468 | 0.064 |
| 1.1934 | 469 | 0.0253 |
| 1.1959 | 470 | 0.046 |
| 1.1985 | 471 | 0.0279 |
| 1.2010 | 472 | 0.0733 |
| 1.2036 | 473 | 0.0463 |
| 1.2061 | 474 | 0.07 |
| 1.2087 | 475 | 0.0281 |
| 1.2112 | 476 | 0.0373 |
| 1.2137 | 477 | 0.0738 |
| 1.2163 | 478 | 0.0412 |
| 1.2188 | 479 | 0.0545 |
| 1.2214 | 480 | 0.0247 |
| 1.2239 | 481 | 0.0293 |
| 1.2265 | 482 | 0.0845 |
| 1.2290 | 483 | 0.055 |
| 1.2316 | 484 | 0.072 |
| 1.2341 | 485 | 0.0481 |
| 1.2366 | 486 | 0.0443 |
| 1.2392 | 487 | 0.0807 |
| 1.2417 | 488 | 0.0421 |
| 1.2443 | 489 | 0.0237 |
| 1.2468 | 490 | 0.0189 |
| 1.2494 | 491 | 0.0604 |
| 1.2519 | 492 | 0.0428 |
| 1.2545 | 493 | 0.061 |
| 1.2570 | 494 | 0.0723 |
| 1.2595 | 495 | 0.0539 |
| 1.2621 | 496 | 0.0747 |
| 1.2646 | 497 | 0.0917 |
| 1.2672 | 498 | 0.1161 |
| 1.2697 | 499 | 0.087 |
| 1.2723 | 500 | 0.0616 |
| 1.2748 | 501 | 0.0756 |
| 1.2774 | 502 | 0.0674 |
| 1.2799 | 503 | 0.04 |
| 1.2824 | 504 | 0.0354 |
| 1.2850 | 505 | 0.0403 |
| 1.2875 | 506 | 0.0596 |
| 1.2901 | 507 | 0.0359 |
| 1.2926 | 508 | 0.0648 |
| 1.2952 | 509 | 0.0424 |
| 1.2977 | 510 | 0.0605 |
| 1.3003 | 511 | 0.0136 |
| 1.3028 | 512 | 0.0547 |
| 1.3053 | 513 | 0.0385 |
| 1.3079 | 514 | 0.0191 |
| 1.3104 | 515 | 0.1222 |
| 1.3130 | 516 | 0.0906 |
| 1.3155 | 517 | 0.0603 |
| 1.3181 | 518 | 0.0366 |
| 1.3206 | 519 | 0.0416 |
| 1.3232 | 520 | 0.0832 |
| 1.3257 | 521 | 0.0355 |
| 1.3282 | 522 | 0.0614 |
| 1.3308 | 523 | 0.0539 |
| 1.3333 | 524 | 0.0566 |
| 1.3359 | 525 | 0.0727 |
| 1.3384 | 526 | 0.0311 |
| 1.3410 | 527 | 0.0254 |
| 1.3435 | 528 | 0.0376 |
| 1.3461 | 529 | 0.0652 |
| 1.3486 | 530 | 0.0717 |
| 1.3511 | 531 | 0.0521 |
| 1.3537 | 532 | 0.0404 |
| 1.3562 | 533 | 0.041 |
| 1.3588 | 534 | 0.0435 |
| 1.3613 | 535 | 0.0842 |
| 1.3639 | 536 | 0.0203 |
| 1.3664 | 537 | 0.072 |
| 1.3690 | 538 | 0.0277 |
| 1.3715 | 539 | 0.0575 |
| 1.3740 | 540 | 0.0665 |
| 1.3766 | 541 | 0.024 |
| 1.3791 | 542 | 0.0202 |
| 1.3817 | 543 | 0.052 |
| 1.3842 | 544 | 0.0532 |
| 1.3868 | 545 | 0.0623 |
| 1.3893 | 546 | 0.0643 |
| 1.3919 | 547 | 0.0694 |
| 1.3944 | 548 | 0.0582 |
| 1.3969 | 549 | 0.0411 |
| 1.3995 | 550 | 0.0245 |
| 1.4020 | 551 | 0.0714 |
| 1.4046 | 552 | 0.0489 |
| 1.4071 | 553 | 0.0696 |
| 1.4097 | 554 | 0.0316 |
| 1.4122 | 555 | 0.0554 |
| 1.4148 | 556 | 0.097 |
| 1.4173 | 557 | 0.0665 |
| 1.4198 | 558 | 0.0578 |
| 1.4224 | 559 | 0.0746 |
| 1.4249 | 560 | 0.0347 |
| 1.4275 | 561 | 0.0471 |
| 1.4300 | 562 | 0.0237 |
| 1.4326 | 563 | 0.0269 |
| 1.4351 | 564 | 0.068 |
| 1.4377 | 565 | 0.0362 |
| 1.4402 | 566 | 0.059 |
| 1.4427 | 567 | 0.0321 |
| 1.4453 | 568 | 0.0469 |
| 1.4478 | 569 | 0.0445 |
| 1.4504 | 570 | 0.0804 |
| 1.4529 | 571 | 0.0387 |
| 1.4555 | 572 | 0.0358 |
| 1.4580 | 573 | 0.0322 |
| 1.4606 | 574 | 0.0673 |
| 1.4631 | 575 | 0.0302 |
| 1.4656 | 576 | 0.0612 |
| 1.4682 | 577 | 0.0553 |
| 1.4707 | 578 | 0.0998 |
| 1.4733 | 579 | 0.0396 |
| 1.4758 | 580 | 0.0764 |
| 1.4784 | 581 | 0.0427 |
| 1.4809 | 582 | 0.0785 |
| 1.4835 | 583 | 0.0419 |
| 1.4860 | 584 | 0.0584 |
| 1.4885 | 585 | 0.0437 |
| 1.4911 | 586 | 0.0561 |
| 1.4936 | 587 | 0.0131 |
| 1.4962 | 588 | 0.0472 |
| 1.4987 | 589 | 0.0479 |
| 1.5013 | 590 | 0.0477 |
| 1.5038 | 591 | 0.0745 |
| 1.5064 | 592 | 0.0918 |
| 1.5089 | 593 | 0.041 |
| 1.5115 | 594 | 0.0463 |
| 1.5140 | 595 | 0.0227 |
| 1.5165 | 596 | 0.0427 |
| 1.5191 | 597 | 0.0754 |
| 1.5216 | 598 | 0.0489 |
| 1.5242 | 599 | 0.0765 |
| 1.5267 | 600 | 0.0651 |
| 1.5293 | 601 | 0.0544 |
| 1.5318 | 602 | 0.0777 |
| 1.5344 | 603 | 0.0638 |
| 1.5369 | 604 | 0.1198 |
| 1.5394 | 605 | 0.0882 |
| 1.5420 | 606 | 0.0236 |
| 1.5445 | 607 | 0.0202 |
| 1.5471 | 608 | 0.0955 |
| 1.5496 | 609 | 0.0366 |
| 1.5522 | 610 | 0.1021 |
| 1.5547 | 611 | 0.0669 |
| 1.5573 | 612 | 0.0185 |
| 1.5598 | 613 | 0.0575 |
| 1.5623 | 614 | 0.1001 |
| 1.5649 | 615 | 0.0664 |
| 1.5674 | 616 | 0.0617 |
| 1.5700 | 617 | 0.0661 |
| 1.5725 | 618 | 0.0425 |
| 1.5751 | 619 | 0.0445 |
| 1.5776 | 620 | 0.0773 |
| 1.5802 | 621 | 0.0504 |
| 1.5827 | 622 | 0.0785 |
| 1.5852 | 623 | 0.0802 |
| 1.5878 | 624 | 0.0882 |
| 1.5903 | 625 | 0.0125 |
| 1.5929 | 626 | 0.0305 |
| 1.5954 | 627 | 0.0275 |
| 1.5980 | 628 | 0.0245 |
| 1.6005 | 629 | 0.0897 |
| 1.6031 | 630 | 0.0444 |
| 1.6056 | 631 | 0.0589 |
| 1.6081 | 632 | 0.0337 |
| 1.6107 | 633 | 0.0889 |
| 1.6132 | 634 | 0.0556 |
| 1.6158 | 635 | 0.0426 |
| 1.6183 | 636 | 0.046 |
| 1.6209 | 637 | 0.0342 |
| 1.6234 | 638 | 0.0573 |
| 1.6260 | 639 | 0.0569 |
| 1.6285 | 640 | 0.0248 |
| 1.6310 | 641 | 0.0214 |
| 1.6336 | 642 | 0.0147 |
| 1.6361 | 643 | 0.0203 |
| 1.6387 | 644 | 0.0366 |
| 1.6412 | 645 | 0.0484 |
| 1.6438 | 646 | 0.0301 |
| 1.6463 | 647 | 0.0314 |
| 1.6489 | 648 | 0.0369 |
| 1.6514 | 649 | 0.0168 |
| 1.6539 | 650 | 0.0645 |
| 1.6565 | 651 | 0.0755 |
| 1.6590 | 652 | 0.0448 |
| 1.6616 | 653 | 0.0795 |
| 1.6641 | 654 | 0.0673 |
| 1.6667 | 655 | 0.0431 |
| 1.6692 | 656 | 0.0265 |
| 1.6718 | 657 | 0.0567 |
| 1.6743 | 658 | 0.0235 |
| 1.6768 | 659 | 0.034 |
| 1.6794 | 660 | 0.0812 |
| 1.6819 | 661 | 0.0157 |
| 1.6845 | 662 | 0.0448 |
| 1.6870 | 663 | 0.0488 |
| 1.6896 | 664 | 0.0515 |
| 1.6921 | 665 | 0.0531 |
| 1.6947 | 666 | 0.1166 |
| 1.6972 | 667 | 0.0264 |
| 1.6997 | 668 | 0.0325 |
| 1.7023 | 669 | 0.0784 |
| 1.7048 | 670 | 0.0859 |
| 1.7074 | 671 | 0.0981 |
| 1.7099 | 672 | 0.0411 |
| 1.7125 | 673 | 0.0915 |
| 1.7150 | 674 | 0.0396 |
| 1.7176 | 675 | 0.1381 |
| 1.7201 | 676 | 0.0547 |
| 1.7226 | 677 | 0.0436 |
| 1.7252 | 678 | 0.0519 |
| 1.7277 | 679 | 0.0305 |
| 1.7303 | 680 | 0.0356 |
| 1.7328 | 681 | 0.0173 |
| 1.7354 | 682 | 0.0299 |
| 1.7379 | 683 | 0.0424 |
| 1.7405 | 684 | 0.038 |
| 1.7430 | 685 | 0.0159 |
| 1.7455 | 686 | 0.0273 |
| 1.7481 | 687 | 0.0301 |
| 1.7506 | 688 | 0.0315 |
| 1.7532 | 689 | 0.0566 |
| 1.7557 | 690 | 0.0478 |
| 1.7583 | 691 | 0.0533 |
| 1.7608 | 692 | 0.0248 |
| 1.7634 | 693 | 0.0454 |
| 1.7659 | 694 | 0.0252 |
| 1.7684 | 695 | 0.0326 |
| 1.7710 | 696 | 0.0501 |
| 1.7735 | 697 | 0.0196 |
| 1.7761 | 698 | 0.0487 |
| 1.7786 | 699 | 0.0445 |
| 1.7812 | 700 | 0.1264 |
| 1.7837 | 701 | 0.0312 |
| 1.7863 | 702 | 0.1022 |
| 1.7888 | 703 | 0.0293 |
| 1.7913 | 704 | 0.0671 |
| 1.7939 | 705 | 0.051 |
| 1.7964 | 706 | 0.0246 |
| 1.7990 | 707 | 0.1115 |
| 1.8015 | 708 | 0.0203 |
| 1.8041 | 709 | 0.0359 |
| 1.8066 | 710 | 0.0699 |
| 1.8092 | 711 | 0.0435 |
| 1.8117 | 712 | 0.0689 |
| 1.8142 | 713 | 0.0359 |
| 1.8168 | 714 | 0.0321 |
| 1.8193 | 715 | 0.0439 |
| 1.8219 | 716 | 0.0652 |
| 1.8244 | 717 | 0.0494 |
| 1.8270 | 718 | 0.0864 |
| 1.8295 | 719 | 0.0119 |
| 1.8321 | 720 | 0.0284 |
| 1.8346 | 721 | 0.0344 |
| 1.8372 | 722 | 0.0454 |
| 1.8397 | 723 | 0.0267 |
| 1.8422 | 724 | 0.0152 |
| 1.8448 | 725 | 0.0512 |
| 1.8473 | 726 | 0.0537 |
| 1.8499 | 727 | 0.0873 |
| 1.8524 | 728 | 0.0934 |
| 1.8550 | 729 | 0.0583 |
| 1.8575 | 730 | 0.0206 |
| 1.8601 | 731 | 0.0308 |
| 1.8626 | 732 | 0.0443 |
| 1.8651 | 733 | 0.0435 |
| 1.8677 | 734 | 0.1254 |
| 1.8702 | 735 | 0.0525 |
| 1.8728 | 736 | 0.039 |
| 1.8753 | 737 | 0.0157 |
| 1.8779 | 738 | 0.0621 |
| 1.8804 | 739 | 0.0405 |
| 1.8830 | 740 | 0.0369 |
| 1.8855 | 741 | 0.0568 |
| 1.8880 | 742 | 0.0451 |
| 1.8906 | 743 | 0.0657 |
| 1.8931 | 744 | 0.0304 |
| 1.8957 | 745 | 0.047 |
| 1.8982 | 746 | 0.0457 |
| 1.9008 | 747 | 0.0239 |
| 1.9033 | 748 | 0.0669 |
| 1.9059 | 749 | 0.0252 |
| 1.9084 | 750 | 0.061 |
| 1.9109 | 751 | 0.0429 |
| 1.9135 | 752 | 0.0611 |
| 1.9160 | 753 | 0.0482 |
| 1.9186 | 754 | 0.0381 |
| 1.9211 | 755 | 0.0749 |
| 1.9237 | 756 | 0.0481 |
| 1.9262 | 757 | 0.0405 |
| 1.9288 | 758 | 0.0248 |
| 1.9313 | 759 | 0.0377 |
| 1.9338 | 760 | 0.061 |
| 1.9364 | 761 | 0.0203 |
| 1.9389 | 762 | 0.0315 |
| 1.9415 | 763 | 0.0534 |
| 1.9440 | 764 | 0.0383 |
| 1.9466 | 765 | 0.0431 |
| 1.9491 | 766 | 0.0509 |
| 1.9517 | 767 | 0.0361 |
| 1.9542 | 768 | 0.054 |
| 1.9567 | 769 | 0.0248 |
| 1.9593 | 770 | 0.1599 |
| 1.9618 | 771 | 0.0657 |
| 1.9644 | 772 | 0.0373 |
| 1.9669 | 773 | 0.0632 |
| 1.9695 | 774 | 0.0385 |
| 1.9720 | 775 | 0.0456 |
| 1.9746 | 776 | 0.0857 |
| 1.9771 | 777 | 0.0253 |
| 1.9796 | 778 | 0.0378 |
| 1.9822 | 779 | 0.0366 |
| 1.9847 | 780 | 0.0646 |
| 1.9873 | 781 | 0.062 |
| 1.9898 | 782 | 0.0513 |
| 1.9924 | 783 | 0.0291 |
| 1.9949 | 784 | 0.0466 |
| 1.9975 | 785 | 0.0345 |
| 2.0 | 786 | 0.0108 |
| 2.0025 | 787 | 0.0196 |
| 2.0051 | 788 | 0.0402 |
| 2.0076 | 789 | 0.034 |
| 2.0102 | 790 | 0.0606 |
| 2.0127 | 791 | 0.0677 |
| 2.0153 | 792 | 0.0174 |
| 2.0178 | 793 | 0.0548 |
| 2.0204 | 794 | 0.0385 |
| 2.0229 | 795 | 0.0146 |
| 2.0254 | 796 | 0.0716 |
| 2.0280 | 797 | 0.0304 |
| 2.0305 | 798 | 0.0512 |
| 2.0331 | 799 | 0.0158 |
| 2.0356 | 800 | 0.0973 |
| 2.0382 | 801 | 0.0394 |
| 2.0407 | 802 | 0.0724 |
| 2.0433 | 803 | 0.0518 |
| 2.0458 | 804 | 0.0385 |
| 2.0483 | 805 | 0.0464 |
| 2.0509 | 806 | 0.0501 |
| 2.0534 | 807 | 0.051 |
| 2.0560 | 808 | 0.0232 |
| 2.0585 | 809 | 0.0631 |
| 2.0611 | 810 | 0.0192 |
| 2.0636 | 811 | 0.0301 |
| 2.0662 | 812 | 0.0177 |
| 2.0687 | 813 | 0.0172 |
| 2.0712 | 814 | 0.0313 |
| 2.0738 | 815 | 0.0653 |
| 2.0763 | 816 | 0.0715 |
| 2.0789 | 817 | 0.0548 |
| 2.0814 | 818 | 0.0729 |
| 2.0840 | 819 | 0.0399 |
| 2.0865 | 820 | 0.0208 |
| 2.0891 | 821 | 0.0476 |
| 2.0916 | 822 | 0.054 |
| 2.0941 | 823 | 0.0174 |
| 2.0967 | 824 | 0.0431 |
| 2.0992 | 825 | 0.0361 |
| 2.1018 | 826 | 0.0514 |
| 2.1043 | 827 | 0.0513 |
| 2.1069 | 828 | 0.0099 |
| 2.1094 | 829 | 0.0137 |
| 2.1120 | 830 | 0.0493 |
| 2.1145 | 831 | 0.0133 |
| 2.1170 | 832 | 0.0087 |
| 2.1196 | 833 | 0.0306 |
| 2.1221 | 834 | 0.0092 |
| 2.1247 | 835 | 0.0242 |
| 2.1272 | 836 | 0.0905 |
| 2.1298 | 837 | 0.0544 |
| 2.1323 | 838 | 0.0462 |
| 2.1349 | 839 | 0.0107 |
| 2.1374 | 840 | 0.0846 |
| 2.1399 | 841 | 0.031 |
| 2.1425 | 842 | 0.027 |
| 2.1450 | 843 | 0.05 |
| 2.1476 | 844 | 0.0468 |
| 2.1501 | 845 | 0.0251 |
| 2.1527 | 846 | 0.031 |
| 2.1552 | 847 | 0.0343 |
| 2.1578 | 848 | 0.0149 |
| 2.1603 | 849 | 0.0347 |
| 2.1628 | 850 | 0.014 |
| 2.1654 | 851 | 0.0471 |
| 2.1679 | 852 | 0.0413 |
| 2.1705 | 853 | 0.0047 |
| 2.1730 | 854 | 0.0232 |
| 2.1756 | 855 | 0.025 |
| 2.1781 | 856 | 0.0621 |
| 2.1807 | 857 | 0.0198 |
| 2.1832 | 858 | 0.0346 |
| 2.1858 | 859 | 0.0177 |
| 2.1883 | 860 | 0.0298 |
| 2.1908 | 861 | 0.0325 |
| 2.1934 | 862 | 0.0075 |
| 2.1959 | 863 | 0.0224 |
| 2.1985 | 864 | 0.0085 |
| 2.2010 | 865 | 0.0498 |
| 2.2036 | 866 | 0.0222 |
| 2.2061 | 867 | 0.0309 |
| 2.2087 | 868 | 0.0074 |
| 2.2112 | 869 | 0.0126 |
| 2.2137 | 870 | 0.0372 |
| 2.2163 | 871 | 0.0232 |
| 2.2188 | 872 | 0.033 |
| 2.2214 | 873 | 0.0111 |
| 2.2239 | 874 | 0.0121 |
| 2.2265 | 875 | 0.0552 |
| 2.2290 | 876 | 0.0305 |
| 2.2316 | 877 | 0.042 |
| 2.2341 | 878 | 0.0147 |
| 2.2366 | 879 | 0.0222 |
| 2.2392 | 880 | 0.0341 |
| 2.2417 | 881 | 0.0163 |
| 2.2443 | 882 | 0.0084 |
| 2.2468 | 883 | 0.0081 |
| 2.2494 | 884 | 0.0312 |
| 2.2519 | 885 | 0.0153 |
| 2.2545 | 886 | 0.0262 |
| 2.2570 | 887 | 0.0404 |
| 2.2595 | 888 | 0.0198 |
| 2.2621 | 889 | 0.0304 |
| 2.2646 | 890 | 0.0544 |
| 2.2672 | 891 | 0.065 |
| 2.2697 | 892 | 0.0473 |
| 2.2723 | 893 | 0.0291 |
| 2.2748 | 894 | 0.0415 |
| 2.2774 | 895 | 0.0398 |
| 2.2799 | 896 | 0.018 |
| 2.2824 | 897 | 0.0158 |
| 2.2850 | 898 | 0.0161 |
| 2.2875 | 899 | 0.0347 |
| 2.2901 | 900 | 0.0104 |
| 2.2926 | 901 | 0.044 |
| 2.2952 | 902 | 0.019 |
| 2.2977 | 903 | 0.0416 |
| 2.3003 | 904 | 0.0039 |
| 2.3028 | 905 | 0.0246 |
| 2.3053 | 906 | 0.0133 |
| 2.3079 | 907 | 0.0053 |
| 2.3104 | 908 | 0.0992 |
| 2.3130 | 909 | 0.0569 |
| 2.3155 | 910 | 0.0326 |
| 2.3181 | 911 | 0.0189 |
| 2.3206 | 912 | 0.0115 |
| 2.3232 | 913 | 0.0417 |
| 2.3257 | 914 | 0.0161 |
| 2.3282 | 915 | 0.0308 |
| 2.3308 | 916 | 0.0234 |
| 2.3333 | 917 | 0.027 |
| 2.3359 | 918 | 0.0391 |
| 2.3384 | 919 | 0.0107 |
| 2.3410 | 920 | 0.0092 |
| 2.3435 | 921 | 0.016 |
| 2.3461 | 922 | 0.0299 |
| 2.3486 | 923 | 0.0493 |
| 2.3511 | 924 | 0.025 |
| 2.3537 | 925 | 0.0127 |
| 2.3562 | 926 | 0.0131 |
| 2.3588 | 927 | 0.0214 |
| 2.3613 | 928 | 0.0538 |
| 2.3639 | 929 | 0.0082 |
| 2.3664 | 930 | 0.043 |
| 2.3690 | 931 | 0.0074 |
| 2.3715 | 932 | 0.042 |
| 2.3740 | 933 | 0.044 |
| 2.3766 | 934 | 0.01 |
| 2.3791 | 935 | 0.0055 |
| 2.3817 | 936 | 0.0215 |
| 2.3842 | 937 | 0.0258 |
| 2.3868 | 938 | 0.0302 |
| 2.3893 | 939 | 0.0326 |
| 2.3919 | 940 | 0.0348 |
| 2.3944 | 941 | 0.0444 |
| 2.3969 | 942 | 0.019 |
| 2.3995 | 943 | 0.0098 |
| 2.4020 | 944 | 0.0283 |
| 2.4046 | 945 | 0.0306 |
| 2.4071 | 946 | 0.0316 |
| 2.4097 | 947 | 0.01 |
| 2.4122 | 948 | 0.0253 |
| 2.4148 | 949 | 0.0664 |
| 2.4173 | 950 | 0.0366 |
| 2.4198 | 951 | 0.0307 |
| 2.4224 | 952 | 0.0422 |
| 2.4249 | 953 | 0.0133 |
| 2.4275 | 954 | 0.0209 |
| 2.4300 | 955 | 0.0065 |
| 2.4326 | 956 | 0.0107 |
| 2.4351 | 957 | 0.0396 |
| 2.4377 | 958 | 0.0137 |
| 2.4402 | 959 | 0.0258 |
| 2.4427 | 960 | 0.0138 |
| 2.4453 | 961 | 0.0275 |
| 2.4478 | 962 | 0.0208 |
| 2.4504 | 963 | 0.0302 |
| 2.4529 | 964 | 0.0292 |
| 2.4555 | 965 | 0.018 |
| 2.4580 | 966 | 0.0168 |
| 2.4606 | 967 | 0.0365 |
| 2.4631 | 968 | 0.0141 |
| 2.4656 | 969 | 0.0348 |
| 2.4682 | 970 | 0.022 |
| 2.4707 | 971 | 0.0677 |
| 2.4733 | 972 | 0.0156 |
| 2.4758 | 973 | 0.0424 |
| 2.4784 | 974 | 0.0188 |
| 2.4809 | 975 | 0.0494 |
| 2.4835 | 976 | 0.0192 |
| 2.4860 | 977 | 0.0346 |
| 2.4885 | 978 | 0.0167 |
| 2.4911 | 979 | 0.0274 |
| 2.4936 | 980 | 0.0046 |
| 2.4962 | 981 | 0.0301 |
| 2.4987 | 982 | 0.0246 |
| 2.5013 | 983 | 0.0222 |
| 2.5038 | 984 | 0.0346 |
| 2.5064 | 985 | 0.0595 |
| 2.5089 | 986 | 0.0221 |
| 2.5115 | 987 | 0.0211 |
| 2.5140 | 988 | 0.0092 |
| 2.5165 | 989 | 0.0225 |
| 2.5191 | 990 | 0.0452 |
| 2.5216 | 991 | 0.0288 |
| 2.5242 | 992 | 0.044 |
| 2.5267 | 993 | 0.0308 |
| 2.5293 | 994 | 0.0309 |
| 2.5318 | 995 | 0.0495 |
| 2.5344 | 996 | 0.0384 |
| 2.5369 | 997 | 0.0834 |
| 2.5394 | 998 | 0.0866 |
| 2.5420 | 999 | 0.0076 |
| 2.5445 | 1000 | 0.0071 |
| 2.5471 | 1001 | 0.0634 |
| 2.5496 | 1002 | 0.0144 |
| 2.5522 | 1003 | 0.077 |
| 2.5547 | 1004 | 0.0347 |
| 2.5573 | 1005 | 0.0081 |
| 2.5598 | 1006 | 0.0216 |
| 2.5623 | 1007 | 0.0437 |
| 2.5649 | 1008 | 0.0367 |
| 2.5674 | 1009 | 0.0281 |
| 2.5700 | 1010 | 0.0312 |
| 2.5725 | 1011 | 0.0181 |
| 2.5751 | 1012 | 0.0226 |
| 2.5776 | 1013 | 0.0558 |
| 2.5802 | 1014 | 0.0267 |
| 2.5827 | 1015 | 0.0596 |
| 2.5852 | 1016 | 0.046 |
| 2.5878 | 1017 | 0.0465 |
| 2.5903 | 1018 | 0.0035 |
| 2.5929 | 1019 | 0.019 |
| 2.5954 | 1020 | 0.0118 |
| 2.5980 | 1021 | 0.0128 |
| 2.6005 | 1022 | 0.0458 |
| 2.6031 | 1023 | 0.0185 |
| 2.6056 | 1024 | 0.0309 |
| 2.6081 | 1025 | 0.0142 |
| 2.6107 | 1026 | 0.0732 |
| 2.6132 | 1027 | 0.0327 |
| 2.6158 | 1028 | 0.0296 |
| 2.6183 | 1029 | 0.0237 |
| 2.6209 | 1030 | 0.0169 |
| 2.6234 | 1031 | 0.0306 |
| 2.6260 | 1032 | 0.0235 |
| 2.6285 | 1033 | 0.009 |
| 2.6310 | 1034 | 0.0118 |
| 2.6336 | 1035 | 0.0067 |
| 2.6361 | 1036 | 0.008 |
| 2.6387 | 1037 | 0.0202 |
| 2.6412 | 1038 | 0.0241 |
| 2.6438 | 1039 | 0.0118 |
| 2.6463 | 1040 | 0.0161 |
| 2.6489 | 1041 | 0.0242 |
| 2.6514 | 1042 | 0.0072 |
| 2.6539 | 1043 | 0.037 |
| 2.6565 | 1044 | 0.0362 |
| 2.6590 | 1045 | 0.0213 |
| 2.6616 | 1046 | 0.0458 |
| 2.6641 | 1047 | 0.0358 |
| 2.6667 | 1048 | 0.024 |
| 2.6692 | 1049 | 0.0093 |
| 2.6718 | 1050 | 0.0306 |
| 2.6743 | 1051 | 0.0075 |
| 2.6768 | 1052 | 0.0193 |
| 2.6794 | 1053 | 0.048 |
| 2.6819 | 1054 | 0.0058 |
| 2.6845 | 1055 | 0.0233 |
| 2.6870 | 1056 | 0.0264 |
| 2.6896 | 1057 | 0.0276 |
| 2.6921 | 1058 | 0.0346 |
| 2.6947 | 1059 | 0.0854 |
| 2.6972 | 1060 | 0.0119 |
| 2.6997 | 1061 | 0.0174 |
| 2.7023 | 1062 | 0.0514 |
| 2.7048 | 1063 | 0.0628 |
| 2.7074 | 1064 | 0.0721 |
| 2.7099 | 1065 | 0.0246 |
| 2.7125 | 1066 | 0.049 |
| 2.7150 | 1067 | 0.0148 |
| 2.7176 | 1068 | 0.1024 |
| 2.7201 | 1069 | 0.0312 |
| 2.7226 | 1070 | 0.029 |
| 2.7252 | 1071 | 0.0352 |
| 2.7277 | 1072 | 0.0131 |
| 2.7303 | 1073 | 0.0195 |
| 2.7328 | 1074 | 0.0064 |
| 2.7354 | 1075 | 0.0169 |
| 2.7379 | 1076 | 0.0232 |
| 2.7405 | 1077 | 0.0216 |
| 2.7430 | 1078 | 0.0058 |
| 2.7455 | 1079 | 0.0089 |
| 2.7481 | 1080 | 0.0143 |
| 2.7506 | 1081 | 0.0168 |
| 2.7532 | 1082 | 0.0331 |
| 2.7557 | 1083 | 0.0255 |
| 2.7583 | 1084 | 0.0312 |
| 2.7608 | 1085 | 0.0125 |
| 2.7634 | 1086 | 0.0228 |
| 2.7659 | 1087 | 0.0083 |
| 2.7684 | 1088 | 0.0141 |
| 2.7710 | 1089 | 0.0189 |
| 2.7735 | 1090 | 0.0109 |
| 2.7761 | 1091 | 0.0195 |
| 2.7786 | 1092 | 0.0169 |
| 2.7812 | 1093 | 0.0937 |
| 2.7837 | 1094 | 0.019 |
| 2.7863 | 1095 | 0.0856 |
| 2.7888 | 1096 | 0.0155 |
| 2.7913 | 1097 | 0.0408 |
| 2.7939 | 1098 | 0.0279 |
| 2.7964 | 1099 | 0.008 |
| 2.7990 | 1100 | 0.086 |
| 2.8015 | 1101 | 0.0078 |
| 2.8041 | 1102 | 0.0186 |
| 2.8066 | 1103 | 0.0468 |
| 2.8092 | 1104 | 0.0255 |
| 2.8117 | 1105 | 0.0418 |
| 2.8142 | 1106 | 0.0188 |
| 2.8168 | 1107 | 0.0197 |
| 2.8193 | 1108 | 0.023 |
| 2.8219 | 1109 | 0.0421 |
| 2.8244 | 1110 | 0.0301 |
| 2.8270 | 1111 | 0.0627 |
| 2.8295 | 1112 | 0.0052 |
| 2.8321 | 1113 | 0.0163 |
| 2.8346 | 1114 | 0.0209 |
| 2.8372 | 1115 | 0.0277 |
| 2.8397 | 1116 | 0.0211 |
| 2.8422 | 1117 | 0.0066 |
| 2.8448 | 1118 | 0.0263 |
| 2.8473 | 1119 | 0.0408 |
| 2.8499 | 1120 | 0.0516 |
| 2.8524 | 1121 | 0.0748 |
| 2.8550 | 1122 | 0.0309 |
| 2.8575 | 1123 | 0.007 |
| 2.8601 | 1124 | 0.014 |
| 2.8626 | 1125 | 0.0284 |
| 2.8651 | 1126 | 0.0165 |
| 2.8677 | 1127 | 0.0975 |
| 2.8702 | 1128 | 0.0354 |
| 2.8728 | 1129 | 0.0235 |
| 2.8753 | 1130 | 0.0074 |
| 2.8779 | 1131 | 0.0386 |
| 2.8804 | 1132 | 0.0173 |
| 2.8830 | 1133 | 0.0211 |
| 2.8855 | 1134 | 0.0305 |
| 2.8880 | 1135 | 0.0219 |
| 2.8906 | 1136 | 0.0454 |
| 2.8931 | 1137 | 0.0176 |
| 2.8957 | 1138 | 0.0261 |
| 2.8982 | 1139 | 0.0274 |
| 2.9008 | 1140 | 0.0131 |
| 2.9033 | 1141 | 0.0485 |
| 2.9059 | 1142 | 0.0129 |
| 2.9084 | 1143 | 0.05 |
| 2.9109 | 1144 | 0.0306 |
| 2.9135 | 1145 | 0.0352 |
| 2.9160 | 1146 | 0.0271 |
| 2.9186 | 1147 | 0.0216 |
| 2.9211 | 1148 | 0.0567 |
| 2.9237 | 1149 | 0.0258 |
| 2.9262 | 1150 | 0.0221 |
| 2.9288 | 1151 | 0.0112 |
| 2.9313 | 1152 | 0.0199 |
| 2.9338 | 1153 | 0.0388 |
| 2.9364 | 1154 | 0.0101 |
| 2.9389 | 1155 | 0.0179 |
| 2.9415 | 1156 | 0.0358 |
| 2.9440 | 1157 | 0.0247 |
| 2.9466 | 1158 | 0.031 |
| 2.9491 | 1159 | 0.0367 |
| 2.9517 | 1160 | 0.0198 |
| 2.9542 | 1161 | 0.0346 |
| 2.9567 | 1162 | 0.011 |
| 2.9593 | 1163 | 0.139 |
| 2.9618 | 1164 | 0.0555 |
| 2.9644 | 1165 | 0.0228 |
| 2.9669 | 1166 | 0.0377 |
| 2.9695 | 1167 | 0.024 |
| 2.9720 | 1168 | 0.0331 |
| 2.9746 | 1169 | 0.0815 |
| 2.9771 | 1170 | 0.0116 |
| 2.9796 | 1171 | 0.0186 |
| 2.9822 | 1172 | 0.0153 |
| 2.9847 | 1173 | 0.0557 |
| 2.9873 | 1174 | 0.0406 |
| 2.9898 | 1175 | 0.0334 |
| 2.9924 | 1176 | 0.0265 |
| 2.9949 | 1177 | 0.0333 |
| 2.9975 | 1178 | 0.0177 |
| 3.0 | 1179 | 0.0028 |
@misc{Reason-ModernColBERT,
title={Reason-ModernColBERT},
author={Chaffin, Antoine},
url={https://huggingface.co/lightonai/Reason-ModernColBERT},
year={2025}
}
@misc{GTE-ModernColBERT,
title={GTE-ModernColBERT},
author={Chaffin, Antoine},
url={https://huggingface.co/lightonai/GTE-ModernColBERT-v1},
year={2025}
}
@inproceedings{reimers-2019-sentence-bert,
title = "Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks",
author = "Reimers, Nils and Gurevych, Iryna",
booktitle = "Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing",
month = "11",
year = "2019",
publisher = "Association for Computational Linguistics",
url = "https://arxiv.org/abs/1908.10084"
}
@misc{PyLate,
title={PyLate: Flexible Training and Retrieval for Late Interaction Models},
author={Chaffin, Antoine and Sourty, Raphaël},
url={https://github.com/lightonai/pylate},
year={2024}
}
@misc{gao2021scaling,
title={Scaling Deep Contrastive Learning Batch Size under Memory Limited Setup},
author={Luyu Gao and Yunyi Zhang and Jiawei Han and Jamie Callan},
year={2021},
eprint={2101.06983},
archivePrefix={arXiv},
primaryClass={cs.LG}
}
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